## Begin on: Wed Nov 13 10:46:15 CET 2019

ENUMERATION
No. of records: 2391

FAMILY (oriented family) : isomorphism classes
1     [ E1b] : 67 (63 non-degenerate)
2     [ E3b] : 192 (125 non-degenerate)
2*    [E3*b] : 192 (125 non-degenerate)
2ex   [E3*c] : 2 (2 non-degenerate)
2*ex  [ E3c] : 2 (2 non-degenerate)
2P    [  E2] : 106 (89 non-degenerate)
2Pex  [ E1a] : 7 (7 non-degenerate)
3     [ E5a] : 1214 (801 non-degenerate)
4     [  E4] : 235 (127 non-degenerate)
4*    [ E4*] : 235 (127 non-degenerate)
4P    [  E6] : 93 (68 non-degenerate)
5     [ E3a] : 22 (15 non-degenerate)
5*    [E3*a] : 22 (15 non-degenerate)
5P    [ E5b] : 2 (2 non-degenerate)

E17.1 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, A, B, S^2, S^-1 * A * S * B, S^-1 * B * S * A, S^-1 * Z * S * Z, Z^17, (Z^-1 * A * B^-1 * A^-1 * B)^17 ]
Map::
	R = (1, 19, 36, 53, 2, 21, 38, 55, 4, 23, 40, 57, 6, 25, 42, 59, 8, 27, 44, 61, 10, 29, 46, 63, 12, 31, 48, 65, 14, 33, 50, 67, 16, 34, 51, 68, 17, 32, 49, 66, 15, 30, 47, 64, 13, 28, 45, 62, 11, 26, 43, 60, 9, 24, 41, 58, 7, 22, 39, 56, 5, 20, 37, 54, 3, 18, 35, 52)
	L = (1, 35)(2, 36)(3, 37)(4, 38)(5, 39)(6, 40)(7, 41)(8, 42)(9, 43)(10, 44)(11, 45)(12, 46)(13, 47)(14, 48)(15, 49)(16, 50)(17, 51)(18, 52)(19, 53)(20, 54)(21, 55)(22, 56)(23, 57)(24, 58)(25, 59)(26, 60)(27, 61)(28, 62)(29, 63)(30, 64)(31, 65)(32, 66)(33, 67)(34, 68)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.2 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-1 * Z^-1, B^-1 * Z^-1, (S * Z)^2, S * A * S * B, B^17, Z^17, Z^8 * A^-9 ]
Map::
	R = (1, 19, 36, 53, 2, 21, 38, 55, 4, 23, 40, 57, 6, 25, 42, 59, 8, 27, 44, 61, 10, 29, 46, 63, 12, 31, 48, 65, 14, 33, 50, 67, 16, 34, 51, 68, 17, 32, 49, 66, 15, 30, 47, 64, 13, 28, 45, 62, 11, 26, 43, 60, 9, 24, 41, 58, 7, 22, 39, 56, 5, 20, 37, 54, 3, 18, 35, 52)
	L = (1, 37)(2, 35)(3, 39)(4, 36)(5, 41)(6, 38)(7, 43)(8, 40)(9, 45)(10, 42)(11, 47)(12, 44)(13, 49)(14, 46)(15, 51)(16, 48)(17, 50)(18, 53)(19, 55)(20, 52)(21, 57)(22, 54)(23, 59)(24, 56)(25, 61)(26, 58)(27, 63)(28, 60)(29, 65)(30, 62)(31, 67)(32, 64)(33, 68)(34, 66)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.3 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^2 * A, (S * Z)^2, S * A * S * B, Z * A^-8, (B * Z)^17 ]
Map::
	R = (1, 19, 36, 53, 2, 22, 39, 56, 5, 23, 40, 57, 6, 26, 43, 60, 9, 27, 44, 61, 10, 30, 47, 64, 13, 31, 48, 65, 14, 34, 51, 68, 17, 32, 49, 66, 15, 33, 50, 67, 16, 28, 45, 62, 11, 29, 46, 63, 12, 24, 41, 58, 7, 25, 42, 59, 8, 20, 37, 54, 3, 21, 38, 55, 4, 18, 35, 52)
	L = (1, 37)(2, 38)(3, 41)(4, 42)(5, 35)(6, 36)(7, 45)(8, 46)(9, 39)(10, 40)(11, 49)(12, 50)(13, 43)(14, 44)(15, 48)(16, 51)(17, 47)(18, 56)(19, 57)(20, 52)(21, 53)(22, 60)(23, 61)(24, 54)(25, 55)(26, 64)(27, 65)(28, 58)(29, 59)(30, 68)(31, 66)(32, 62)(33, 63)(34, 67)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.4 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, Z^-2 * A^-1 * Z^-1, S * A * S * B, (S * Z)^2, A * Z * A^5, Z^-2 * A * B * A^3, Z * A^-2 * B^-1 * Z * A^-2 ]
Map::
	R = (1, 19, 36, 53, 2, 23, 40, 57, 6, 22, 39, 56, 5, 25, 42, 59, 8, 29, 46, 63, 12, 28, 45, 62, 11, 31, 48, 65, 14, 32, 49, 66, 15, 34, 51, 68, 17, 33, 50, 67, 16, 26, 43, 60, 9, 30, 47, 64, 13, 27, 44, 61, 10, 20, 37, 54, 3, 24, 41, 58, 7, 21, 38, 55, 4, 18, 35, 52)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 38)(7, 47)(8, 36)(9, 49)(10, 50)(11, 39)(12, 40)(13, 51)(14, 42)(15, 46)(16, 48)(17, 45)(18, 56)(19, 59)(20, 52)(21, 57)(22, 62)(23, 63)(24, 53)(25, 65)(26, 54)(27, 55)(28, 68)(29, 66)(30, 58)(31, 67)(32, 60)(33, 61)(34, 64)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.5 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (S * Z)^2, (Z, A^-1), S * A * S * B, A * Z^-1 * A^3, Z^2 * A * Z^2 ]
Map::
	R = (1, 19, 36, 53, 2, 23, 40, 57, 6, 29, 46, 63, 12, 22, 39, 56, 5, 25, 42, 59, 8, 31, 48, 65, 14, 34, 51, 68, 17, 30, 47, 64, 13, 26, 43, 60, 9, 32, 49, 66, 15, 33, 50, 67, 16, 27, 44, 61, 10, 20, 37, 54, 3, 24, 41, 58, 7, 28, 45, 62, 11, 21, 38, 55, 4, 18, 35, 52)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 45)(7, 49)(8, 36)(9, 42)(10, 47)(11, 50)(12, 38)(13, 39)(14, 40)(15, 48)(16, 51)(17, 46)(18, 56)(19, 59)(20, 52)(21, 63)(22, 64)(23, 65)(24, 53)(25, 60)(26, 54)(27, 55)(28, 57)(29, 68)(30, 61)(31, 66)(32, 58)(33, 62)(34, 67)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.6 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z, A^-1), S * A * S * B, (S * Z)^2, A * Z^-1 * A^2 * Z^-1, Z^-1 * A^-1 * Z^-4 ]
Map::
	R = (1, 19, 36, 53, 2, 23, 40, 57, 6, 31, 48, 65, 14, 29, 46, 63, 12, 22, 39, 56, 5, 25, 42, 59, 8, 26, 43, 60, 9, 33, 50, 67, 16, 34, 51, 68, 17, 30, 47, 64, 13, 27, 44, 61, 10, 20, 37, 54, 3, 24, 41, 58, 7, 32, 49, 66, 15, 28, 45, 62, 11, 21, 38, 55, 4, 18, 35, 52)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 49)(7, 50)(8, 36)(9, 40)(10, 42)(11, 47)(12, 38)(13, 39)(14, 45)(15, 51)(16, 48)(17, 46)(18, 56)(19, 59)(20, 52)(21, 63)(22, 64)(23, 60)(24, 53)(25, 61)(26, 54)(27, 55)(28, 65)(29, 68)(30, 62)(31, 67)(32, 57)(33, 58)(34, 66)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.7 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^-1 * A^-3, (S * Z)^2, S * A * S * B, Z^6 * A ]
Map::
	R = (1, 19, 36, 53, 2, 23, 40, 57, 6, 29, 46, 63, 12, 32, 49, 66, 15, 26, 43, 60, 9, 22, 39, 56, 5, 25, 42, 59, 8, 31, 48, 65, 14, 33, 50, 67, 16, 27, 44, 61, 10, 20, 37, 54, 3, 24, 41, 58, 7, 30, 47, 64, 13, 34, 51, 68, 17, 28, 45, 62, 11, 21, 38, 55, 4, 18, 35, 52)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 47)(7, 39)(8, 36)(9, 38)(10, 49)(11, 50)(12, 51)(13, 42)(14, 40)(15, 45)(16, 46)(17, 48)(18, 56)(19, 59)(20, 52)(21, 60)(22, 58)(23, 65)(24, 53)(25, 64)(26, 54)(27, 55)(28, 66)(29, 67)(30, 57)(31, 68)(32, 61)(33, 62)(34, 63)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.8 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {17, 17})
Quotient :: toric
Aut^+ = C17 (small group id <17, 1>)
Aut   = D34 (small group id <34, 1>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, B^-1 * Z * A * Z^-1, Z^-1 * A * Z * B^-1, S * B * S * A, (S * Z)^2, Z * A^-1 * Z^2 * A^-1, B * A * B * A * B * Z ]
Map::
	R = (1, 19, 36, 53, 2, 23, 40, 57, 6, 26, 43, 60, 9, 32, 49, 66, 15, 34, 51, 68, 17, 29, 46, 63, 12, 22, 39, 56, 5, 25, 42, 59, 8, 27, 44, 61, 10, 20, 37, 54, 3, 24, 41, 58, 7, 31, 48, 65, 14, 33, 50, 67, 16, 30, 47, 64, 13, 28, 45, 62, 11, 21, 38, 55, 4, 18, 35, 52)
	L = (1, 37)(2, 41)(3, 43)(4, 44)(5, 35)(6, 48)(7, 49)(8, 36)(9, 50)(10, 40)(11, 42)(12, 38)(13, 39)(14, 51)(15, 47)(16, 46)(17, 45)(18, 56)(19, 59)(20, 52)(21, 63)(22, 64)(23, 61)(24, 53)(25, 62)(26, 54)(27, 55)(28, 68)(29, 67)(30, 66)(31, 57)(32, 58)(33, 60)(34, 65)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.9 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, (S * Z)^2, S * A * S * B, A * Z * A * Z^-1, Z^9 ]
Map::
	R = (1, 20, 38, 56, 2, 23, 41, 59, 5, 27, 45, 63, 9, 31, 49, 67, 13, 34, 52, 70, 16, 30, 48, 66, 12, 26, 44, 62, 8, 22, 40, 58, 4, 19, 37, 55)(3, 24, 42, 60, 6, 28, 46, 64, 10, 32, 50, 68, 14, 35, 53, 71, 17, 36, 54, 72, 18, 33, 51, 69, 15, 29, 47, 65, 11, 25, 43, 61, 7, 21, 39, 57)
	L = (1, 39)(2, 42)(3, 37)(4, 43)(5, 46)(6, 38)(7, 40)(8, 47)(9, 50)(10, 41)(11, 44)(12, 51)(13, 53)(14, 45)(15, 48)(16, 54)(17, 49)(18, 52)(19, 57)(20, 60)(21, 55)(22, 61)(23, 64)(24, 56)(25, 58)(26, 65)(27, 68)(28, 59)(29, 62)(30, 69)(31, 71)(32, 63)(33, 66)(34, 72)(35, 67)(36, 70)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.10 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, A^2 * B^-2, Z * B^-1 * Z^-1 * A, B^-1 * Z * A * Z^-1, (S * Z)^2, S * B * S * A, Z * B^2 * Z^2, A^6 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 31, 49, 67, 13, 33, 51, 69, 15, 35, 53, 71, 17, 27, 45, 63, 9, 29, 47, 65, 11, 22, 40, 58, 4, 19, 37, 55)(3, 25, 43, 61, 7, 30, 48, 66, 12, 23, 41, 59, 5, 26, 44, 62, 8, 32, 50, 68, 14, 34, 52, 70, 16, 36, 54, 72, 18, 28, 46, 64, 10, 21, 39, 57)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 48)(7, 47)(8, 38)(9, 52)(10, 53)(11, 54)(12, 40)(13, 41)(14, 42)(15, 44)(16, 49)(17, 50)(18, 51)(19, 59)(20, 62)(21, 55)(22, 66)(23, 67)(24, 68)(25, 56)(26, 69)(27, 57)(28, 58)(29, 61)(30, 60)(31, 70)(32, 71)(33, 72)(34, 63)(35, 64)(36, 65)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.11 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B, (A, Z), S * B * S * A, Z^-1 * B * Z * A^-1, Z * B * Z^-1 * A^-1, (S * Z)^2, Z * A^-1 * Z^2 * A^-1, B^-1 * Z * B^-1 * Z^2, (A^-1 * B^-1)^3 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 27, 45, 63, 9, 33, 51, 69, 15, 36, 54, 72, 18, 31, 49, 67, 13, 29, 47, 65, 11, 22, 40, 58, 4, 19, 37, 55)(3, 25, 43, 61, 7, 32, 50, 68, 14, 34, 52, 70, 16, 35, 53, 71, 17, 30, 48, 66, 12, 23, 41, 59, 5, 26, 44, 62, 8, 28, 46, 64, 10, 21, 39, 57)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 50)(7, 51)(8, 38)(9, 52)(10, 42)(11, 44)(12, 40)(13, 41)(14, 54)(15, 53)(16, 49)(17, 47)(18, 48)(19, 59)(20, 62)(21, 55)(22, 66)(23, 67)(24, 64)(25, 56)(26, 65)(27, 57)(28, 58)(29, 71)(30, 72)(31, 70)(32, 60)(33, 61)(34, 63)(35, 69)(36, 68)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.12 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {9, 9})
Quotient :: toric
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A, A^-2 * Z^-2, (A, Z^-1), S * A * S * B, (S * Z)^2, Z^-1 * A^8, Z^2 * A^-1 * Z^2 * A^-3 * Z, Z^9 ]
Map::
	R = (1, 20, 38, 56, 2, 24, 42, 60, 6, 29, 47, 65, 11, 33, 51, 69, 15, 35, 53, 71, 17, 32, 50, 68, 14, 27, 45, 63, 9, 22, 40, 58, 4, 19, 37, 55)(3, 25, 43, 61, 7, 23, 41, 59, 5, 26, 44, 62, 8, 30, 48, 66, 12, 34, 52, 70, 16, 36, 54, 72, 18, 31, 49, 67, 13, 28, 46, 64, 10, 21, 39, 57)
	L = (1, 39)(2, 43)(3, 45)(4, 46)(5, 37)(6, 41)(7, 40)(8, 38)(9, 49)(10, 50)(11, 44)(12, 42)(13, 53)(14, 54)(15, 48)(16, 47)(17, 52)(18, 51)(19, 59)(20, 62)(21, 55)(22, 61)(23, 60)(24, 66)(25, 56)(26, 65)(27, 57)(28, 58)(29, 70)(30, 69)(31, 63)(32, 64)(33, 72)(34, 71)(35, 67)(36, 68)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.13 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = C4 x D10 (small group id <40, 5>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, B^2 * A^-2, (B^-1, Z^-1), (A^-1, Z^-1), Z^5 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 32, 52, 72, 12, 25, 45, 65, 5, 21, 41, 61)(3, 27, 47, 67, 7, 33, 53, 73, 13, 37, 57, 77, 17, 30, 50, 70, 10, 23, 43, 63)(4, 28, 48, 68, 8, 34, 54, 74, 14, 38, 58, 78, 18, 31, 51, 71, 11, 24, 44, 64)(9, 35, 55, 75, 15, 39, 59, 79, 19, 40, 60, 80, 20, 36, 56, 76, 16, 29, 49, 69)
	L = (1, 43)(2, 47)(3, 49)(4, 41)(5, 50)(6, 53)(7, 55)(8, 42)(9, 44)(10, 56)(11, 45)(12, 57)(13, 59)(14, 46)(15, 48)(16, 51)(17, 60)(18, 52)(19, 54)(20, 58)(21, 63)(22, 67)(23, 69)(24, 61)(25, 70)(26, 73)(27, 75)(28, 62)(29, 64)(30, 76)(31, 65)(32, 77)(33, 79)(34, 66)(35, 68)(36, 71)(37, 80)(38, 72)(39, 74)(40, 78)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.14 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = C4 x D10 (small group id <40, 5>)
|r| :: 2
Presentation :: [ S^2, B^-1 * Z^-1 * A^-1 * Z^-1, (B, A^-1), Z^-1 * A^-1 * B^-1 * Z^-1, S * A * S * B, B^-2 * A^2, (Z^-1, A^-1), (S * Z)^2, A^-1 * Z * A^-3, A^-1 * B^-1 * A^-1 * Z * B^-1 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 34, 54, 74, 14, 25, 45, 65, 5, 21, 41, 61)(3, 29, 49, 69, 9, 27, 47, 67, 7, 32, 52, 72, 12, 35, 55, 75, 15, 23, 43, 63)(4, 30, 50, 70, 10, 26, 46, 66, 6, 31, 51, 71, 11, 37, 57, 77, 17, 24, 44, 64)(13, 39, 59, 79, 19, 36, 56, 76, 16, 40, 60, 80, 20, 38, 58, 78, 18, 33, 53, 73)
	L = (1, 43)(2, 49)(3, 53)(4, 54)(5, 55)(6, 41)(7, 56)(8, 47)(9, 59)(10, 45)(11, 42)(12, 60)(13, 51)(14, 52)(15, 58)(16, 44)(17, 48)(18, 46)(19, 57)(20, 50)(21, 67)(22, 72)(23, 76)(24, 61)(25, 69)(26, 68)(27, 78)(28, 75)(29, 80)(30, 62)(31, 74)(32, 73)(33, 64)(34, 63)(35, 79)(36, 66)(37, 65)(38, 77)(39, 70)(40, 71)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.15 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, S * A * S * B, (B * A)^2, B * Z * B * Z^-1, (S * Z)^2, Z^-1 * A * Z * A, Z^5 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 32, 52, 72, 12, 25, 45, 65, 5, 21, 41, 61)(3, 27, 47, 67, 7, 33, 53, 73, 13, 37, 57, 77, 17, 30, 50, 70, 10, 23, 43, 63)(4, 28, 48, 68, 8, 34, 54, 74, 14, 38, 58, 78, 18, 31, 51, 71, 11, 24, 44, 64)(9, 35, 55, 75, 15, 39, 59, 79, 19, 40, 60, 80, 20, 36, 56, 76, 16, 29, 49, 69)
	L = (1, 43)(2, 47)(3, 41)(4, 49)(5, 50)(6, 53)(7, 42)(8, 55)(9, 44)(10, 45)(11, 56)(12, 57)(13, 46)(14, 59)(15, 48)(16, 51)(17, 52)(18, 60)(19, 54)(20, 58)(21, 64)(22, 68)(23, 69)(24, 61)(25, 71)(26, 74)(27, 75)(28, 62)(29, 63)(30, 76)(31, 65)(32, 78)(33, 79)(34, 66)(35, 67)(36, 70)(37, 80)(38, 72)(39, 73)(40, 77)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.16 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = (C10 x C2) : C2 (small group id <40, 8>)
|r| :: 2
Presentation :: [ S^2, (Z^-1, B), (A^-1, B^-1), S * A * S * B, B^-2 * Z^-2, (A^-1 * B)^2, (B^-1 * Z^-1)^2, (A^-1, Z^-1), B^2 * A^-2, (Z^-1 * A^-1)^2, (S * Z)^2, A^-1 * B^-1 * A^-1 * B^-1 * Z, B^4 * Z^-1 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 33, 53, 73, 13, 25, 45, 65, 5, 21, 41, 61)(3, 29, 49, 69, 9, 26, 46, 66, 6, 31, 51, 71, 11, 35, 55, 75, 15, 23, 43, 63)(4, 30, 50, 70, 10, 27, 47, 67, 7, 32, 52, 72, 12, 37, 57, 77, 17, 24, 44, 64)(14, 39, 59, 79, 19, 36, 56, 76, 16, 40, 60, 80, 20, 38, 58, 78, 18, 34, 54, 74)
	L = (1, 43)(2, 49)(3, 53)(4, 54)(5, 55)(6, 41)(7, 56)(8, 46)(9, 45)(10, 59)(11, 42)(12, 60)(13, 51)(14, 52)(15, 48)(16, 44)(17, 58)(18, 47)(19, 57)(20, 50)(21, 67)(22, 72)(23, 76)(24, 61)(25, 70)(26, 78)(27, 68)(28, 77)(29, 80)(30, 62)(31, 74)(32, 73)(33, 64)(34, 63)(35, 79)(36, 66)(37, 65)(38, 75)(39, 69)(40, 71)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.17 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, A^2 * B * A, (S * Z)^2, Z^-1 * A * Z * B^-1, S * A * S * B, Z^-1 * B * Z * A^-1, Z^5 ]
Map::
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 31, 51, 71, 11, 24, 44, 64, 4, 21, 41, 61)(3, 27, 47, 67, 7, 33, 53, 73, 13, 37, 57, 77, 17, 30, 50, 70, 10, 23, 43, 63)(5, 28, 48, 68, 8, 34, 54, 74, 14, 38, 58, 78, 18, 32, 52, 72, 12, 25, 45, 65)(9, 35, 55, 75, 15, 39, 59, 79, 19, 40, 60, 80, 20, 36, 56, 76, 16, 29, 49, 69)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 53)(7, 55)(8, 42)(9, 45)(10, 56)(11, 57)(12, 44)(13, 59)(14, 46)(15, 48)(16, 52)(17, 60)(18, 51)(19, 54)(20, 58)(21, 65)(22, 68)(23, 61)(24, 72)(25, 69)(26, 74)(27, 62)(28, 75)(29, 63)(30, 64)(31, 78)(32, 76)(33, 66)(34, 79)(35, 67)(36, 70)(37, 71)(38, 80)(39, 73)(40, 77)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.18 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, (Z, A^-1), S * A * S * B, (S * Z)^2, A^-4 * Z, Z^5 ]
Map::
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 31, 51, 71, 11, 24, 44, 64, 4, 21, 41, 61)(3, 27, 47, 67, 7, 34, 54, 74, 14, 37, 57, 77, 17, 30, 50, 70, 10, 23, 43, 63)(5, 28, 48, 68, 8, 35, 55, 75, 15, 38, 58, 78, 18, 32, 52, 72, 12, 25, 45, 65)(9, 36, 56, 76, 16, 40, 60, 80, 20, 39, 59, 79, 19, 33, 53, 73, 13, 29, 49, 69)
	L = (1, 43)(2, 47)(3, 49)(4, 50)(5, 41)(6, 54)(7, 56)(8, 42)(9, 48)(10, 53)(11, 57)(12, 44)(13, 45)(14, 60)(15, 46)(16, 55)(17, 59)(18, 51)(19, 52)(20, 58)(21, 65)(22, 68)(23, 61)(24, 72)(25, 73)(26, 75)(27, 62)(28, 69)(29, 63)(30, 64)(31, 78)(32, 79)(33, 70)(34, 66)(35, 76)(36, 67)(37, 71)(38, 80)(39, 77)(40, 74)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.19 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ S^2, B^-1 * A^-1, S * A * S * B, (S * Z)^2, B^2 * A^-2, Z * A * Z^-2 * A^-1, Z^5, Z^2 * B * Z^-1 * B^-1, Z * B * Z^2 * B^-1, Z^2 * A * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 26, 46, 66, 6, 36, 56, 76, 16, 25, 45, 65, 5, 21, 41, 61)(3, 29, 49, 69, 9, 27, 47, 67, 7, 34, 54, 74, 14, 31, 51, 71, 11, 23, 43, 63)(4, 32, 52, 72, 12, 35, 55, 75, 15, 28, 48, 68, 8, 33, 53, 73, 13, 24, 44, 64)(10, 39, 59, 79, 19, 38, 58, 78, 18, 40, 60, 80, 20, 37, 57, 77, 17, 30, 50, 70)
	L = (1, 43)(2, 47)(3, 50)(4, 41)(5, 54)(6, 51)(7, 57)(8, 42)(9, 58)(10, 44)(11, 60)(12, 46)(13, 56)(14, 59)(15, 45)(16, 49)(17, 48)(18, 53)(19, 55)(20, 52)(21, 63)(22, 67)(23, 70)(24, 61)(25, 74)(26, 71)(27, 77)(28, 62)(29, 78)(30, 64)(31, 80)(32, 66)(33, 76)(34, 79)(35, 65)(36, 69)(37, 68)(38, 73)(39, 75)(40, 72)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.20
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.20 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ S^2, B * Z * A, A^-1 * Z * B^-1 * Z, (A^-1 * B)^2, (S * Z)^2, Z^-1 * A^-1 * B^-1 * Z^-1, S * A * S * B, B^4, A^4, Z^-1 * A^-2 * B^-2 ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 35, 55, 75, 15, 25, 45, 65, 5, 21, 41, 61)(3, 32, 52, 72, 12, 27, 47, 67, 7, 37, 57, 77, 17, 31, 51, 71, 11, 23, 43, 63)(4, 26, 46, 66, 6, 38, 58, 78, 18, 29, 49, 69, 9, 30, 50, 70, 10, 24, 44, 64)(13, 36, 56, 76, 16, 34, 54, 74, 14, 40, 60, 80, 20, 39, 59, 79, 19, 33, 53, 73)
	L = (1, 43)(2, 47)(3, 53)(4, 55)(5, 57)(6, 41)(7, 59)(8, 51)(9, 45)(10, 42)(11, 60)(12, 54)(13, 46)(14, 44)(15, 52)(16, 49)(17, 56)(18, 48)(19, 50)(20, 58)(21, 67)(22, 71)(23, 74)(24, 61)(25, 63)(26, 68)(27, 76)(28, 72)(29, 62)(30, 75)(31, 73)(32, 79)(33, 69)(34, 78)(35, 77)(36, 64)(37, 80)(38, 65)(39, 66)(40, 70)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.19
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.21 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ S^2, A * Z^-1 * B, Z^-1 * A^-1 * Z * B^-1, B^4, (B^-1 * A)^2, S * A * S * B, (S * Z)^2, Z * A * B * Z, A^4, B * A^-1 * Z^-1 * B^-1 * A ]
Map:: non-degenerate
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 33, 53, 73, 13, 25, 45, 65, 5, 21, 41, 61)(3, 31, 51, 71, 11, 29, 49, 69, 9, 38, 58, 78, 18, 27, 47, 67, 7, 23, 43, 63)(4, 35, 55, 75, 15, 26, 46, 66, 6, 30, 50, 70, 10, 37, 57, 77, 17, 24, 44, 64)(12, 40, 60, 80, 20, 36, 56, 76, 16, 39, 59, 79, 19, 34, 54, 74, 14, 32, 52, 72)
	L = (1, 43)(2, 49)(3, 52)(4, 42)(5, 58)(6, 41)(7, 59)(8, 47)(9, 54)(10, 48)(11, 56)(12, 46)(13, 51)(14, 44)(15, 53)(16, 55)(17, 45)(18, 60)(19, 50)(20, 57)(21, 67)(22, 71)(23, 74)(24, 61)(25, 69)(26, 65)(27, 76)(28, 78)(29, 79)(30, 62)(31, 80)(32, 75)(33, 63)(34, 77)(35, 68)(36, 64)(37, 73)(38, 72)(39, 66)(40, 70)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.22 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5, 5})
Quotient :: toric
Aut^+ = C5 : C4 (small group id <20, 3>)
Aut   = C2 x (C5 : C4) (small group id <40, 12>)
|r| :: 2
Presentation :: [ S^2, B * Z^-1 * A, B^-1 * Z^-1 * A^-1 * Z^-1, Z^2 * A^-1 * B^-1, A^4, (S * Z)^2, S * B * S * A, B^4, Z * A * Z * B, Z^2 * A^-1 * B^-1, (A^-1 * B)^2, A^-1 * B^-1 * Z^-3 ]
Map::
	R = (1, 22, 42, 62, 2, 28, 48, 68, 8, 38, 58, 78, 18, 25, 45, 65, 5, 21, 41, 61)(3, 32, 52, 72, 12, 29, 49, 69, 9, 27, 47, 67, 7, 34, 54, 74, 14, 23, 43, 63)(4, 36, 56, 76, 16, 31, 51, 71, 11, 30, 50, 70, 10, 26, 46, 66, 6, 24, 44, 64)(13, 39, 59, 79, 19, 40, 60, 80, 20, 35, 55, 75, 15, 37, 57, 77, 17, 33, 53, 73)
	L = (1, 43)(2, 49)(3, 53)(4, 48)(5, 47)(6, 41)(7, 59)(8, 54)(9, 57)(10, 58)(11, 42)(12, 60)(13, 46)(14, 55)(15, 44)(16, 45)(17, 51)(18, 52)(19, 56)(20, 50)(21, 67)(22, 63)(23, 75)(24, 61)(25, 72)(26, 78)(27, 77)(28, 69)(29, 80)(30, 62)(31, 65)(32, 73)(33, 71)(34, 79)(35, 70)(36, 68)(37, 64)(38, 74)(39, 66)(40, 76)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.23 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C8 x S3 (small group id <48, 4>)
|r| :: 2
Presentation :: [ S^2, A^-1 * B^-1, Z^3, (S * Z)^2, S * A * S * B, (Z, A^-1), (Z, B^-1), B^4 * A^-4 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 30, 54, 78, 6, 33, 57, 81, 9, 27, 51, 75)(4, 31, 55, 79, 7, 35, 59, 83, 11, 28, 52, 76)(8, 36, 60, 84, 12, 39, 63, 87, 15, 32, 56, 80)(10, 37, 61, 85, 13, 41, 65, 89, 17, 34, 58, 82)(14, 42, 66, 90, 18, 45, 69, 93, 21, 38, 62, 86)(16, 43, 67, 91, 19, 46, 70, 94, 22, 40, 64, 88)(20, 47, 71, 95, 23, 48, 72, 96, 24, 44, 68, 92)
	L = (1, 51)(2, 54)(3, 56)(4, 49)(5, 57)(6, 60)(7, 50)(8, 62)(9, 63)(10, 52)(11, 53)(12, 66)(13, 55)(14, 68)(15, 69)(16, 58)(17, 59)(18, 71)(19, 61)(20, 64)(21, 72)(22, 65)(23, 67)(24, 70)(25, 75)(26, 78)(27, 80)(28, 73)(29, 81)(30, 84)(31, 74)(32, 86)(33, 87)(34, 76)(35, 77)(36, 90)(37, 79)(38, 92)(39, 93)(40, 82)(41, 83)(42, 95)(43, 85)(44, 88)(45, 96)(46, 89)(47, 91)(48, 94)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.24 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C24 : C2 (small group id <48, 5>)
|r| :: 2
Presentation :: [ S^2, Z^3, B^3 * A^-1, B^-2 * A^-2, (B * A)^2, S * B * S * A, (S * Z)^2, (A^-1, Z^-1), (B^-1, Z^-1) ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 38, 62, 86, 14, 27, 51, 75)(4, 33, 57, 81, 9, 40, 64, 88, 16, 28, 52, 76)(6, 34, 58, 82, 10, 41, 65, 89, 17, 30, 54, 78)(7, 35, 59, 83, 11, 42, 66, 90, 18, 31, 55, 79)(12, 43, 67, 91, 19, 46, 70, 94, 22, 36, 60, 84)(13, 44, 68, 92, 20, 47, 71, 95, 23, 37, 61, 85)(15, 45, 69, 93, 21, 48, 72, 96, 24, 39, 63, 87)
	L = (1, 51)(2, 56)(3, 60)(4, 61)(5, 62)(6, 49)(7, 63)(8, 67)(9, 68)(10, 50)(11, 69)(12, 52)(13, 55)(14, 70)(15, 54)(16, 71)(17, 53)(18, 72)(19, 57)(20, 59)(21, 58)(22, 64)(23, 66)(24, 65)(25, 79)(26, 83)(27, 87)(28, 73)(29, 90)(30, 85)(31, 84)(32, 93)(33, 74)(34, 92)(35, 91)(36, 78)(37, 75)(38, 96)(39, 76)(40, 77)(41, 95)(42, 94)(43, 82)(44, 80)(45, 81)(46, 89)(47, 86)(48, 88)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.25 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = C24 : C2 (small group id <48, 6>)
|r| :: 2
Presentation :: [ S^2, Z^3, (B * A^-1)^2, A^-2 * B^-1 * A^-1, B^2 * A^-2, S * B * S * A, (S * Z)^2, (A^-1, Z^-1), (B^-1, Z^-1) ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 38, 62, 86, 14, 27, 51, 75)(4, 33, 57, 81, 9, 40, 64, 88, 16, 28, 52, 76)(6, 34, 58, 82, 10, 41, 65, 89, 17, 30, 54, 78)(7, 35, 59, 83, 11, 42, 66, 90, 18, 31, 55, 79)(12, 43, 67, 91, 19, 46, 70, 94, 22, 36, 60, 84)(13, 44, 68, 92, 20, 47, 71, 95, 23, 37, 61, 85)(15, 45, 69, 93, 21, 48, 72, 96, 24, 39, 63, 87)
	L = (1, 51)(2, 56)(3, 60)(4, 61)(5, 62)(6, 49)(7, 63)(8, 67)(9, 68)(10, 50)(11, 69)(12, 55)(13, 54)(14, 70)(15, 52)(16, 71)(17, 53)(18, 72)(19, 59)(20, 58)(21, 57)(22, 66)(23, 65)(24, 64)(25, 79)(26, 83)(27, 87)(28, 73)(29, 90)(30, 84)(31, 85)(32, 93)(33, 74)(34, 91)(35, 92)(36, 76)(37, 75)(38, 96)(39, 78)(40, 77)(41, 94)(42, 95)(43, 81)(44, 80)(45, 82)(46, 88)(47, 86)(48, 89)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.26 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, A^-1 * B, Z^3, (S * Z)^2, S * B * S * A, (A, Z), A^-3 * B^-1 * A^-4 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 25, 49, 73)(3, 30, 54, 78, 6, 33, 57, 81, 9, 27, 51, 75)(5, 31, 55, 79, 7, 34, 58, 82, 10, 29, 53, 77)(8, 36, 60, 84, 12, 39, 63, 87, 15, 32, 56, 80)(11, 37, 61, 85, 13, 40, 64, 88, 16, 35, 59, 83)(14, 42, 66, 90, 18, 45, 69, 93, 21, 38, 62, 86)(17, 43, 67, 91, 19, 46, 70, 94, 22, 41, 65, 89)(20, 47, 71, 95, 23, 48, 72, 96, 24, 44, 68, 92)
	L = (1, 51)(2, 54)(3, 56)(4, 57)(5, 49)(6, 60)(7, 50)(8, 62)(9, 63)(10, 52)(11, 53)(12, 66)(13, 55)(14, 68)(15, 69)(16, 58)(17, 59)(18, 71)(19, 61)(20, 65)(21, 72)(22, 64)(23, 67)(24, 70)(25, 77)(26, 79)(27, 73)(28, 82)(29, 83)(30, 74)(31, 85)(32, 75)(33, 76)(34, 88)(35, 89)(36, 78)(37, 91)(38, 80)(39, 81)(40, 94)(41, 92)(42, 84)(43, 95)(44, 86)(45, 87)(46, 96)(47, 90)(48, 93)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.27 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, Z^3, B^3, A^3, Z^-1 * A^-1 * Z * B, A * B^-1 * A^-1 * Z^-1, B * Z^-1 * A^-1 * Z, B * Z * B^-1 * A, A^-1 * Z * B * Z^-1, S * A * S * B, Z * A * B * A^-1, (S * Z)^2, (B * A * Z^-1)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 37, 61, 85, 13, 27, 51, 75)(4, 38, 62, 86, 14, 36, 60, 84, 12, 28, 52, 76)(6, 35, 59, 83, 11, 40, 64, 88, 16, 30, 54, 78)(7, 45, 69, 93, 21, 42, 66, 90, 18, 31, 55, 79)(8, 41, 65, 89, 17, 46, 70, 94, 22, 32, 56, 80)(10, 43, 67, 91, 19, 47, 71, 95, 23, 34, 58, 82)(15, 44, 68, 92, 20, 48, 72, 96, 24, 39, 63, 87)
	L = (1, 51)(2, 56)(3, 54)(4, 63)(5, 60)(6, 49)(7, 67)(8, 58)(9, 68)(10, 50)(11, 55)(12, 66)(13, 62)(14, 70)(15, 64)(16, 52)(17, 72)(18, 53)(19, 59)(20, 71)(21, 65)(22, 61)(23, 57)(24, 69)(25, 79)(26, 83)(27, 80)(28, 73)(29, 91)(30, 92)(31, 76)(32, 84)(33, 74)(34, 96)(35, 81)(36, 75)(37, 82)(38, 78)(39, 94)(40, 95)(41, 77)(42, 87)(43, 89)(44, 86)(45, 88)(46, 90)(47, 93)(48, 85)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.28 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, Z^3, B^3, A^3, Z * B * A * B^-1, A^-1 * B * A * Z, B * A * Z * A^-1, A^-1 * B^-1 * Z^-1 * B, S * B * S * A, (S * Z)^2, B * Z * A^-1 * Z^-1, (A * B * Z^-1)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 36, 60, 84, 12, 38, 62, 86, 14, 27, 51, 75)(4, 32, 56, 80, 8, 40, 64, 88, 16, 28, 52, 76)(6, 44, 68, 92, 20, 43, 67, 91, 19, 30, 54, 78)(7, 34, 58, 82, 10, 39, 63, 87, 15, 31, 55, 79)(9, 41, 65, 89, 17, 47, 71, 95, 23, 33, 57, 81)(11, 42, 66, 90, 18, 46, 70, 94, 22, 35, 59, 83)(13, 45, 69, 93, 21, 48, 72, 96, 24, 37, 61, 85)
	L = (1, 51)(2, 56)(3, 54)(4, 62)(5, 65)(6, 49)(7, 60)(8, 58)(9, 52)(10, 50)(11, 64)(12, 69)(13, 67)(14, 57)(15, 68)(16, 72)(17, 66)(18, 53)(19, 71)(20, 70)(21, 55)(22, 63)(23, 61)(24, 59)(25, 79)(26, 83)(27, 87)(28, 73)(29, 91)(30, 82)(31, 76)(32, 94)(33, 74)(34, 90)(35, 81)(36, 88)(37, 75)(38, 77)(39, 85)(40, 95)(41, 92)(42, 78)(43, 86)(44, 96)(45, 80)(46, 93)(47, 84)(48, 89)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.29 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, A * B * A, Z^3, (S * Z)^2, S * B * S * A, Z * A * Z * B^-1 * Z^-1 * A^-1, (A * Z^-1)^4 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 25, 49, 73)(3, 32, 56, 80, 8, 33, 57, 81, 9, 27, 51, 75)(5, 36, 60, 84, 12, 37, 61, 85, 13, 29, 53, 77)(6, 38, 62, 86, 14, 39, 63, 87, 15, 30, 54, 78)(7, 40, 64, 88, 16, 41, 65, 89, 17, 31, 55, 79)(10, 42, 66, 90, 18, 45, 69, 93, 21, 34, 58, 82)(11, 44, 68, 92, 20, 46, 70, 94, 22, 35, 59, 83)(19, 47, 71, 95, 23, 48, 72, 96, 24, 43, 67, 91)
	L = (1, 51)(2, 54)(3, 53)(4, 58)(5, 49)(6, 55)(7, 50)(8, 62)(9, 67)(10, 59)(11, 52)(12, 63)(13, 65)(14, 66)(15, 71)(16, 69)(17, 70)(18, 56)(19, 68)(20, 57)(21, 72)(22, 61)(23, 60)(24, 64)(25, 77)(26, 79)(27, 73)(28, 83)(29, 75)(30, 74)(31, 78)(32, 90)(33, 92)(34, 76)(35, 82)(36, 95)(37, 94)(38, 80)(39, 84)(40, 96)(41, 85)(42, 86)(43, 81)(44, 91)(45, 88)(46, 89)(47, 87)(48, 93)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.30 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, A * B^-1, Z^3, A^3, (S * Z)^2, S * A * S * B, A * Z^-1 * B^-1 * Z * A^-1 * Z^-1, A^-1 * Z * B^-1 * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 25, 49, 73)(3, 32, 56, 80, 8, 33, 57, 81, 9, 27, 51, 75)(5, 36, 60, 84, 12, 37, 61, 85, 13, 29, 53, 77)(6, 38, 62, 86, 14, 39, 63, 87, 15, 30, 54, 78)(7, 40, 64, 88, 16, 41, 65, 89, 17, 31, 55, 79)(10, 44, 68, 92, 20, 43, 67, 91, 19, 34, 58, 82)(11, 45, 69, 93, 21, 46, 70, 94, 22, 35, 59, 83)(18, 48, 72, 96, 24, 47, 71, 95, 23, 42, 66, 90)
	L = (1, 51)(2, 54)(3, 53)(4, 58)(5, 49)(6, 55)(7, 50)(8, 66)(9, 67)(10, 59)(11, 52)(12, 69)(13, 68)(14, 72)(15, 57)(16, 60)(17, 56)(18, 65)(19, 63)(20, 71)(21, 64)(22, 62)(23, 61)(24, 70)(25, 77)(26, 79)(27, 73)(28, 83)(29, 75)(30, 74)(31, 78)(32, 89)(33, 87)(34, 76)(35, 82)(36, 88)(37, 95)(38, 94)(39, 91)(40, 93)(41, 90)(42, 80)(43, 81)(44, 85)(45, 84)(46, 96)(47, 92)(48, 86)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.31 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = SL(2,3) (small group id <24, 3>)
Aut   = GL(2,3) (small group id <48, 29>)
|r| :: 2
Presentation :: [ S^2, B * A^-1, Z^3, A^4, (S * Z)^2, S * A * S * B, A^-2 * Z * A^-2 * Z^-1, A^-1 * Z^-1 * A * Z^-1 * A * Z^-1 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 25, 49, 73)(3, 32, 56, 80, 8, 34, 58, 82, 10, 27, 51, 75)(5, 37, 61, 85, 13, 38, 62, 86, 14, 29, 53, 77)(6, 39, 63, 87, 15, 41, 65, 89, 17, 30, 54, 78)(7, 42, 66, 90, 18, 43, 67, 91, 19, 31, 55, 79)(9, 40, 64, 88, 16, 46, 70, 94, 22, 33, 57, 81)(11, 47, 71, 95, 23, 45, 69, 93, 21, 35, 59, 83)(12, 48, 72, 96, 24, 44, 68, 92, 20, 36, 60, 84)
	L = (1, 51)(2, 54)(3, 57)(4, 59)(5, 49)(6, 64)(7, 50)(8, 68)(9, 53)(10, 63)(11, 70)(12, 52)(13, 69)(14, 66)(15, 62)(16, 55)(17, 71)(18, 58)(19, 72)(20, 61)(21, 56)(22, 60)(23, 67)(24, 65)(25, 77)(26, 79)(27, 73)(28, 84)(29, 81)(30, 74)(31, 88)(32, 93)(33, 75)(34, 90)(35, 76)(36, 94)(37, 92)(38, 87)(39, 82)(40, 78)(41, 96)(42, 86)(43, 95)(44, 80)(45, 85)(46, 83)(47, 89)(48, 91)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph::
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.32 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = (C12 x C2) : C2 (small group id <48, 14>)
|r| :: 2
Presentation :: [ S^2, Z^3, (B * A^-1)^2, B^4, A^4, B^2 * A^-2, S * B * S * A, (S * Z)^2, (A^-1, Z^-1), (B^-1, Z^-1), (B^-1 * A^-1)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 38, 62, 86, 14, 27, 51, 75)(4, 33, 57, 81, 9, 40, 64, 88, 16, 28, 52, 76)(6, 34, 58, 82, 10, 41, 65, 89, 17, 30, 54, 78)(7, 35, 59, 83, 11, 42, 66, 90, 18, 31, 55, 79)(12, 43, 67, 91, 19, 46, 70, 94, 22, 36, 60, 84)(13, 44, 68, 92, 20, 47, 71, 95, 23, 37, 61, 85)(15, 45, 69, 93, 21, 48, 72, 96, 24, 39, 63, 87)
	L = (1, 51)(2, 56)(3, 60)(4, 61)(5, 62)(6, 49)(7, 63)(8, 67)(9, 68)(10, 50)(11, 69)(12, 54)(13, 55)(14, 70)(15, 52)(16, 71)(17, 53)(18, 72)(19, 58)(20, 59)(21, 57)(22, 65)(23, 66)(24, 64)(25, 79)(26, 83)(27, 87)(28, 73)(29, 90)(30, 85)(31, 84)(32, 93)(33, 74)(34, 92)(35, 91)(36, 76)(37, 75)(38, 96)(39, 78)(40, 77)(41, 95)(42, 94)(43, 81)(44, 80)(45, 82)(46, 88)(47, 86)(48, 89)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.33 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, Z^3, A * Z * B * Z^-1, S * A * S * B, (B * A)^2, (S * Z)^2, (B * Z * A * Z^-1)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 31, 55, 79, 7, 33, 57, 81, 9, 27, 51, 75)(4, 34, 58, 82, 10, 35, 59, 83, 11, 28, 52, 76)(6, 36, 60, 84, 12, 38, 62, 86, 14, 30, 54, 78)(8, 39, 63, 87, 15, 40, 64, 88, 16, 32, 56, 80)(13, 41, 65, 89, 17, 44, 68, 92, 20, 37, 61, 85)(18, 43, 67, 91, 19, 45, 69, 93, 21, 42, 66, 90)(22, 47, 71, 95, 23, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 54)(3, 49)(4, 56)(5, 59)(6, 50)(7, 61)(8, 52)(9, 64)(10, 66)(11, 53)(12, 67)(13, 55)(14, 68)(15, 70)(16, 57)(17, 71)(18, 58)(19, 60)(20, 62)(21, 72)(22, 63)(23, 65)(24, 69)(25, 76)(26, 79)(27, 80)(28, 73)(29, 84)(30, 85)(31, 74)(32, 75)(33, 89)(34, 87)(35, 91)(36, 77)(37, 78)(38, 93)(39, 82)(40, 95)(41, 81)(42, 94)(43, 83)(44, 96)(45, 86)(46, 90)(47, 88)(48, 92)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E17.34
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.34 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, (B * A)^2, S * A * S * B, (S * Z)^2, B * Z * A * Z^-1, (A * Z * B * Z^-1)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 34, 58, 82, 10, 27, 51, 75)(4, 30, 54, 78, 6, 35, 59, 83, 11, 28, 52, 76)(7, 36, 60, 84, 12, 38, 62, 86, 14, 31, 55, 79)(9, 39, 63, 87, 15, 41, 65, 89, 17, 33, 57, 81)(13, 43, 67, 91, 19, 44, 68, 92, 20, 37, 61, 85)(16, 42, 66, 90, 18, 45, 69, 93, 21, 40, 64, 88)(22, 47, 71, 95, 23, 48, 72, 96, 24, 46, 70, 94)
	L = (1, 51)(2, 54)(3, 49)(4, 57)(5, 60)(6, 50)(7, 61)(8, 63)(9, 52)(10, 66)(11, 67)(12, 53)(13, 55)(14, 69)(15, 56)(16, 70)(17, 71)(18, 58)(19, 59)(20, 72)(21, 62)(22, 64)(23, 65)(24, 68)(25, 76)(26, 79)(27, 81)(28, 73)(29, 82)(30, 85)(31, 74)(32, 88)(33, 75)(34, 77)(35, 89)(36, 90)(37, 78)(38, 92)(39, 94)(40, 80)(41, 83)(42, 84)(43, 95)(44, 86)(45, 96)(46, 87)(47, 91)(48, 93)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible
Dual of E17.33
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.35 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, Z^3, (S * Z)^2, S * A * S * B, (A * Z * A * Z^-1)^2 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 25, 49, 73)(3, 30, 54, 78, 6, 31, 55, 79, 7, 27, 51, 75)(5, 33, 57, 81, 9, 34, 58, 82, 10, 29, 53, 77)(8, 37, 61, 85, 13, 38, 62, 86, 14, 32, 56, 80)(11, 41, 65, 89, 17, 40, 64, 88, 16, 35, 59, 83)(12, 42, 66, 90, 18, 43, 67, 91, 19, 36, 60, 84)(15, 45, 69, 93, 21, 44, 68, 92, 20, 39, 63, 87)(22, 48, 72, 96, 24, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 49)(4, 56)(5, 50)(6, 59)(7, 60)(8, 52)(9, 63)(10, 64)(11, 54)(12, 55)(13, 66)(14, 68)(15, 57)(16, 58)(17, 70)(18, 61)(19, 71)(20, 62)(21, 72)(22, 65)(23, 67)(24, 69)(25, 75)(26, 77)(27, 73)(28, 80)(29, 74)(30, 83)(31, 84)(32, 76)(33, 87)(34, 88)(35, 78)(36, 79)(37, 90)(38, 92)(39, 81)(40, 82)(41, 94)(42, 85)(43, 95)(44, 86)(45, 96)(46, 89)(47, 91)(48, 93)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.36 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ S^2, A^2, B^-1 * A, Z^3, S * B * S * A, (S * Z)^2, (A * Z^-1)^4, (A * Z * A * Z^-1)^3 ]
Map::
	R = (1, 26, 50, 74, 2, 28, 52, 76, 4, 25, 49, 73)(3, 30, 54, 78, 6, 31, 55, 79, 7, 27, 51, 75)(5, 33, 57, 81, 9, 34, 58, 82, 10, 29, 53, 77)(8, 37, 61, 85, 13, 38, 62, 86, 14, 32, 56, 80)(11, 41, 65, 89, 17, 42, 66, 90, 18, 35, 59, 83)(12, 43, 67, 91, 19, 39, 63, 87, 15, 36, 60, 84)(16, 45, 69, 93, 21, 44, 68, 92, 20, 40, 64, 88)(22, 48, 72, 96, 24, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 53)(3, 49)(4, 56)(5, 50)(6, 59)(7, 60)(8, 52)(9, 63)(10, 64)(11, 54)(12, 55)(13, 68)(14, 65)(15, 57)(16, 58)(17, 62)(18, 70)(19, 71)(20, 61)(21, 72)(22, 66)(23, 67)(24, 69)(25, 75)(26, 77)(27, 73)(28, 80)(29, 74)(30, 83)(31, 84)(32, 76)(33, 87)(34, 88)(35, 78)(36, 79)(37, 92)(38, 89)(39, 81)(40, 82)(41, 86)(42, 94)(43, 95)(44, 85)(45, 96)(46, 90)(47, 91)(48, 93)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.37 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {3, 3})
Quotient :: toric
Aut^+ = S4 (small group id <24, 12>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, Z^3, Z * A * Z^-1 * B, B * Z * A * Z^-1, S * B * S * A, (S * Z)^2, (B * A)^3, (B * Z^-1 * A)^2 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 29, 53, 77, 5, 25, 49, 73)(3, 32, 56, 80, 8, 34, 58, 82, 10, 27, 51, 75)(4, 30, 54, 78, 6, 36, 60, 84, 12, 28, 52, 76)(7, 37, 61, 85, 13, 40, 64, 88, 16, 31, 55, 79)(9, 41, 65, 89, 17, 39, 63, 87, 15, 33, 57, 81)(11, 45, 69, 93, 21, 46, 70, 94, 22, 35, 59, 83)(14, 42, 66, 90, 18, 44, 68, 92, 20, 38, 62, 86)(19, 48, 72, 96, 24, 47, 71, 95, 23, 43, 67, 91)
	L = (1, 51)(2, 54)(3, 49)(4, 59)(5, 61)(6, 50)(7, 63)(8, 65)(9, 67)(10, 68)(11, 52)(12, 66)(13, 53)(14, 71)(15, 55)(16, 70)(17, 56)(18, 60)(19, 57)(20, 58)(21, 72)(22, 64)(23, 62)(24, 69)(25, 76)(26, 79)(27, 81)(28, 73)(29, 82)(30, 86)(31, 74)(32, 90)(33, 75)(34, 77)(35, 91)(36, 94)(37, 93)(38, 78)(39, 95)(40, 89)(41, 88)(42, 80)(43, 83)(44, 96)(45, 85)(46, 84)(47, 87)(48, 92)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.38 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, A^2, S^2, B^2, S * B * S * A, (S * Z)^2, A * B * Z * B * A * Z, (B * A)^3, (B * Z)^4 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 31, 55, 79, 7, 27, 51, 75)(4, 33, 57, 81, 9, 28, 52, 76)(5, 35, 59, 83, 11, 29, 53, 77)(6, 37, 61, 85, 13, 30, 54, 78)(8, 36, 60, 84, 12, 32, 56, 80)(10, 38, 62, 86, 14, 34, 58, 82)(15, 43, 67, 91, 19, 39, 63, 87)(16, 44, 68, 92, 20, 40, 64, 88)(17, 47, 71, 95, 23, 41, 65, 89)(18, 46, 70, 94, 22, 42, 66, 90)(21, 48, 72, 96, 24, 45, 69, 93)
	L = (1, 51)(2, 53)(3, 49)(4, 58)(5, 50)(6, 62)(7, 63)(8, 65)(9, 66)(10, 52)(11, 67)(12, 69)(13, 70)(14, 54)(15, 55)(16, 71)(17, 56)(18, 57)(19, 59)(20, 72)(21, 60)(22, 61)(23, 64)(24, 68)(25, 76)(26, 78)(27, 80)(28, 73)(29, 84)(30, 74)(31, 88)(32, 75)(33, 87)(34, 89)(35, 92)(36, 77)(37, 91)(38, 93)(39, 81)(40, 79)(41, 82)(42, 95)(43, 85)(44, 83)(45, 86)(46, 96)(47, 90)(48, 94)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.40
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.39 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^4, B^2 * A^-2, (S * Z)^2, B * A^2 * B, S * A * S * B, (A^-1 * Z)^2, (B * Z)^2, (B^-1 * A^-1)^3, A^-1 * B * A * B^-1 * A * B^-1 * Z * A * B^-1 * A * B^-1 * Z * A * B^-1 * A * B^-1 * Z * A * B^-1 * A * B^-1 * Z * A * B^-1 * A * B^-1 * A^-1 * B ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 25, 49, 73)(3, 33, 57, 81, 9, 27, 51, 75)(4, 34, 58, 82, 10, 28, 52, 76)(5, 31, 55, 79, 7, 29, 53, 77)(6, 32, 56, 80, 8, 30, 54, 78)(11, 40, 64, 88, 16, 35, 59, 83)(12, 41, 65, 89, 17, 36, 60, 84)(13, 42, 66, 90, 18, 37, 61, 85)(14, 43, 67, 91, 19, 38, 62, 86)(15, 44, 68, 92, 20, 39, 63, 87)(21, 48, 72, 96, 24, 45, 69, 93)(22, 47, 71, 95, 23, 46, 70, 94)
	L = (1, 51)(2, 55)(3, 59)(4, 62)(5, 49)(6, 63)(7, 64)(8, 67)(9, 50)(10, 68)(11, 53)(12, 69)(13, 70)(14, 54)(15, 52)(16, 57)(17, 71)(18, 72)(19, 58)(20, 56)(21, 61)(22, 60)(23, 66)(24, 65)(25, 78)(26, 82)(27, 85)(28, 73)(29, 84)(30, 83)(31, 90)(32, 74)(33, 89)(34, 88)(35, 76)(36, 75)(37, 77)(38, 93)(39, 94)(40, 80)(41, 79)(42, 81)(43, 95)(44, 96)(45, 87)(46, 86)(47, 92)(48, 91)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.41
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.40 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ A^2, B^2, S^2, B * A * Z^2, S * B * S * A, (S * Z)^2, Z^-1 * B * A * B * A * Z^-1, B * Z^-1 * B * Z^-1 * A * Z^-1 * A * Z^-1 ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 30, 54, 78, 6, 38, 62, 86, 14, 36, 60, 84, 12, 29, 53, 77, 5, 25, 49, 73)(3, 33, 57, 81, 9, 28, 52, 76, 4, 35, 59, 83, 11, 39, 63, 87, 15, 34, 58, 82, 10, 27, 51, 75)(7, 40, 64, 88, 16, 32, 56, 80, 8, 42, 66, 90, 18, 37, 61, 85, 13, 41, 65, 89, 17, 31, 55, 79)(19, 46, 70, 94, 22, 44, 68, 92, 20, 47, 71, 95, 23, 45, 69, 93, 21, 48, 72, 96, 24, 43, 67, 91)
	L = (1, 51)(2, 55)(3, 49)(4, 60)(5, 56)(6, 63)(7, 50)(8, 53)(9, 67)(10, 68)(11, 69)(12, 52)(13, 62)(14, 61)(15, 54)(16, 70)(17, 71)(18, 72)(19, 57)(20, 58)(21, 59)(22, 64)(23, 65)(24, 66)(25, 76)(26, 80)(27, 78)(28, 73)(29, 85)(30, 75)(31, 86)(32, 74)(33, 92)(34, 93)(35, 91)(36, 87)(37, 77)(38, 79)(39, 84)(40, 95)(41, 96)(42, 94)(43, 83)(44, 81)(45, 82)(46, 90)(47, 88)(48, 89)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.38
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.41 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 6})
Quotient :: toric
Aut^+ = (C6 x C2) : C2 (small group id <24, 8>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ S^2, (A * Z)^2, Z * B * Z^-1 * A^-1, B^4, Z^2 * B * A, (Z^-1 * A)^2, B^-1 * A^-1 * Z^2, (S * Z)^2, S * B * S * A, (Z^-1 * B^-1)^2, B^2 * A^-2, (A^-1 * B^-1)^3, B^2 * Z * A^-2 * Z^-1, Z^-1 * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A ]
Map:: non-degenerate
	R = (1, 26, 50, 74, 2, 32, 56, 80, 8, 43, 67, 91, 19, 40, 64, 88, 16, 29, 53, 77, 5, 25, 49, 73)(3, 34, 58, 82, 10, 31, 55, 79, 7, 42, 66, 90, 18, 44, 68, 92, 20, 35, 59, 83, 11, 27, 51, 75)(4, 39, 63, 87, 15, 45, 69, 93, 21, 33, 57, 81, 9, 30, 54, 78, 6, 36, 60, 84, 12, 28, 52, 76)(13, 46, 70, 94, 22, 38, 62, 86, 14, 47, 71, 95, 23, 41, 65, 89, 17, 48, 72, 96, 24, 37, 61, 85)
	L = (1, 51)(2, 57)(3, 61)(4, 64)(5, 60)(6, 49)(7, 65)(8, 68)(9, 70)(10, 53)(11, 50)(12, 72)(13, 54)(14, 69)(15, 71)(16, 55)(17, 52)(18, 67)(19, 63)(20, 62)(21, 56)(22, 59)(23, 66)(24, 58)(25, 79)(26, 84)(27, 86)(28, 73)(29, 87)(30, 80)(31, 85)(32, 75)(33, 95)(34, 74)(35, 91)(36, 94)(37, 76)(38, 78)(39, 96)(40, 92)(41, 93)(42, 77)(43, 81)(44, 89)(45, 88)(46, 82)(47, 83)(48, 90)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.39
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.42 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 87>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, B * A^-1 * Z * A * B^-1 * Z, A^2 * Z * A^-2 * Z, B * Z * A^-1 * Z * A * Z * B^-1 * Z, B^4 * A^-4 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 44, 76, 108, 12, 40, 72, 104)(10, 46, 78, 110, 14, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 53, 85, 117, 21, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 55, 87, 119, 23, 50, 82, 114)(19, 59, 91, 123, 27, 51, 83, 115)(22, 60, 92, 124, 28, 54, 86, 118)(24, 62, 94, 126, 30, 56, 88, 120)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 76)(6, 66)(7, 79)(8, 81)(9, 80)(10, 68)(11, 84)(12, 86)(13, 85)(14, 70)(15, 89)(16, 71)(17, 90)(18, 73)(19, 74)(20, 92)(21, 75)(22, 93)(23, 77)(24, 78)(25, 95)(26, 83)(27, 82)(28, 96)(29, 88)(30, 87)(31, 91)(32, 94)(33, 99)(34, 101)(35, 104)(36, 97)(37, 108)(38, 98)(39, 111)(40, 113)(41, 112)(42, 100)(43, 116)(44, 118)(45, 117)(46, 102)(47, 121)(48, 103)(49, 122)(50, 105)(51, 106)(52, 124)(53, 107)(54, 125)(55, 109)(56, 110)(57, 127)(58, 115)(59, 114)(60, 128)(61, 120)(62, 119)(63, 123)(64, 126)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.43 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 88>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-2 * A^-2, B^-3 * A, B * A^-3, (B^-1 * A^-1)^2, S * A * S * B, (S * Z)^2, B^-1 * Z * A^2 * Z * A, (A * Z * A^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 61, 93, 125, 29, 57, 89, 121)(26, 62, 94, 126, 30, 58, 90, 122)(27, 63, 95, 127, 31, 59, 91, 123)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 68)(13, 70)(14, 69)(15, 90)(16, 91)(17, 92)(18, 93)(19, 72)(20, 74)(21, 73)(22, 94)(23, 95)(24, 96)(25, 79)(26, 81)(27, 75)(28, 80)(29, 86)(30, 88)(31, 82)(32, 87)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 101)(45, 99)(46, 100)(47, 123)(48, 122)(49, 121)(50, 128)(51, 105)(52, 103)(53, 104)(54, 127)(55, 126)(56, 125)(57, 112)(58, 107)(59, 113)(60, 111)(61, 119)(62, 114)(63, 120)(64, 118)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.44 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 28>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Z^2, A^2, S^2, B^2, S * A * S * B, (S * Z)^2, B * A * Z * A * B * Z, (A * B)^4, (A * Z)^4 ]
Map:: polytopal non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 44, 76, 108, 12, 40, 72, 104)(10, 46, 78, 110, 14, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 53, 85, 117, 21, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 55, 87, 119, 23, 50, 82, 114)(19, 59, 91, 123, 27, 51, 83, 115)(22, 60, 92, 124, 28, 54, 86, 118)(24, 62, 94, 126, 30, 56, 88, 120)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 65)(4, 74)(5, 66)(6, 78)(7, 79)(8, 81)(9, 82)(10, 68)(11, 84)(12, 86)(13, 87)(14, 70)(15, 71)(16, 89)(17, 72)(18, 73)(19, 90)(20, 75)(21, 92)(22, 76)(23, 77)(24, 93)(25, 80)(26, 83)(27, 95)(28, 85)(29, 88)(30, 96)(31, 91)(32, 94)(33, 100)(34, 102)(35, 104)(36, 97)(37, 108)(38, 98)(39, 112)(40, 99)(41, 111)(42, 115)(43, 117)(44, 101)(45, 116)(46, 120)(47, 105)(48, 103)(49, 122)(50, 123)(51, 106)(52, 109)(53, 107)(54, 125)(55, 126)(56, 110)(57, 127)(58, 113)(59, 114)(60, 128)(61, 118)(62, 119)(63, 121)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.45 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, S * B * S * A, (S * Z)^2, (B * Z * A)^2, (A * Z)^8 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 43, 75, 107, 11, 40, 72, 104)(13, 49, 81, 113, 17, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 52, 84, 116, 20, 48, 80, 112)(21, 57, 89, 121, 25, 53, 85, 117)(22, 58, 90, 122, 26, 54, 86, 118)(23, 59, 91, 123, 27, 55, 87, 119)(24, 60, 92, 124, 28, 56, 88, 120)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 69)(3, 65)(4, 72)(5, 66)(6, 75)(7, 77)(8, 68)(9, 78)(10, 79)(11, 70)(12, 80)(13, 71)(14, 73)(15, 74)(16, 76)(17, 85)(18, 86)(19, 87)(20, 88)(21, 81)(22, 82)(23, 83)(24, 84)(25, 93)(26, 94)(27, 95)(28, 96)(29, 89)(30, 90)(31, 91)(32, 92)(33, 100)(34, 102)(35, 104)(36, 97)(37, 107)(38, 98)(39, 110)(40, 99)(41, 109)(42, 112)(43, 101)(44, 111)(45, 105)(46, 103)(47, 108)(48, 106)(49, 118)(50, 117)(51, 120)(52, 119)(53, 114)(54, 113)(55, 116)(56, 115)(57, 126)(58, 125)(59, 128)(60, 127)(61, 122)(62, 121)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.46 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, A^4, (S * Z)^2, S * A * S * B, (A^-1 * Z * A^-1)^2, A^-1 * Z * A^-1 * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 43, 75, 107, 11, 40, 72, 104)(13, 49, 81, 113, 17, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 52, 84, 116, 20, 48, 80, 112)(21, 57, 89, 121, 25, 53, 85, 117)(22, 58, 90, 122, 26, 54, 86, 118)(23, 59, 91, 123, 27, 55, 87, 119)(24, 60, 92, 124, 28, 56, 88, 120)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 78)(10, 79)(11, 70)(12, 80)(13, 73)(14, 71)(15, 76)(16, 74)(17, 85)(18, 86)(19, 87)(20, 88)(21, 82)(22, 81)(23, 84)(24, 83)(25, 93)(26, 94)(27, 95)(28, 96)(29, 90)(30, 89)(31, 92)(32, 91)(33, 100)(34, 102)(35, 97)(36, 104)(37, 98)(38, 107)(39, 110)(40, 99)(41, 109)(42, 112)(43, 101)(44, 111)(45, 103)(46, 105)(47, 106)(48, 108)(49, 118)(50, 117)(51, 120)(52, 119)(53, 113)(54, 114)(55, 115)(56, 116)(57, 126)(58, 125)(59, 128)(60, 127)(61, 121)(62, 122)(63, 123)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.47 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x D16 (small group id <32, 39>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^2, (B, A^-1), (B^-1 * Z)^2, S * A * S * B, (A^-1 * B^-1)^2, (S * Z)^2, (A^-1 * Z)^2, B^3 * A^-1 * B * A^-3, A^2 * B^-2 * Z * A^-4 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 41, 73, 105, 9, 35, 67, 99)(4, 42, 74, 106, 10, 36, 68, 100)(5, 39, 71, 103, 7, 37, 69, 101)(6, 40, 72, 104, 8, 38, 70, 102)(11, 51, 83, 115, 19, 43, 75, 107)(12, 49, 81, 113, 17, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 48, 80, 112, 16, 46, 78, 110)(15, 50, 82, 114, 18, 47, 79, 111)(21, 60, 92, 124, 28, 53, 85, 117)(22, 59, 91, 123, 27, 54, 86, 118)(23, 58, 90, 122, 26, 55, 87, 119)(24, 57, 89, 121, 25, 56, 88, 120)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 71)(3, 75)(4, 76)(5, 65)(6, 77)(7, 80)(8, 81)(9, 66)(10, 82)(11, 85)(12, 70)(13, 86)(14, 69)(15, 68)(16, 89)(17, 74)(18, 90)(19, 73)(20, 72)(21, 93)(22, 94)(23, 79)(24, 78)(25, 95)(26, 96)(27, 84)(28, 83)(29, 88)(30, 87)(31, 92)(32, 91)(33, 102)(34, 106)(35, 109)(36, 97)(37, 108)(38, 107)(39, 114)(40, 98)(41, 113)(42, 112)(43, 118)(44, 99)(45, 117)(46, 100)(47, 101)(48, 122)(49, 103)(50, 121)(51, 104)(52, 105)(53, 126)(54, 125)(55, 110)(56, 111)(57, 128)(58, 127)(59, 115)(60, 116)(61, 119)(62, 120)(63, 123)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.48 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1 * B^-1)^2, (A, B^-1), (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, B^-1 * A * Z * A * B^-1 * Z, B * A^-1 * B^3 * A^-3 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 40, 72, 104, 8, 35, 67, 99)(4, 39, 71, 103, 7, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 41, 73, 105, 9, 38, 70, 102)(11, 51, 83, 115, 19, 43, 75, 107)(12, 49, 81, 113, 17, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 48, 80, 112, 16, 46, 78, 110)(15, 50, 82, 114, 18, 47, 79, 111)(21, 59, 91, 123, 27, 53, 85, 117)(22, 60, 92, 124, 28, 54, 86, 118)(23, 57, 89, 121, 25, 55, 87, 119)(24, 58, 90, 122, 26, 56, 88, 120)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 71)(3, 75)(4, 76)(5, 65)(6, 77)(7, 80)(8, 81)(9, 66)(10, 82)(11, 85)(12, 70)(13, 86)(14, 69)(15, 68)(16, 89)(17, 74)(18, 90)(19, 73)(20, 72)(21, 93)(22, 94)(23, 79)(24, 78)(25, 95)(26, 96)(27, 84)(28, 83)(29, 88)(30, 87)(31, 92)(32, 91)(33, 102)(34, 106)(35, 109)(36, 97)(37, 108)(38, 107)(39, 114)(40, 98)(41, 113)(42, 112)(43, 118)(44, 99)(45, 117)(46, 100)(47, 101)(48, 122)(49, 103)(50, 121)(51, 104)(52, 105)(53, 126)(54, 125)(55, 110)(56, 111)(57, 128)(58, 127)(59, 115)(60, 116)(61, 119)(62, 120)(63, 123)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.49 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1 * A^-1 * B, S * A * S * B, A^-1 * B^-2 * A^-1, A^4, A * B * A^-1 * B, (S * Z)^2, Z * A^-2 * Z * B^2, B * Z * A * B^-1 * Z * A, B * Z * A^-1 * B^-1 * Z * A^-1, A * Z * A * Z * A^-1 * Z * A^-1 * Z ]
Map:: polytopal non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 61, 93, 125, 29, 57, 89, 121)(26, 62, 94, 126, 30, 58, 90, 122)(27, 63, 95, 127, 31, 59, 91, 123)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 78)(5, 65)(6, 77)(7, 83)(8, 85)(9, 66)(10, 84)(11, 89)(12, 69)(13, 68)(14, 70)(15, 92)(16, 91)(17, 90)(18, 93)(19, 73)(20, 72)(21, 74)(22, 96)(23, 95)(24, 94)(25, 80)(26, 79)(27, 75)(28, 81)(29, 87)(30, 86)(31, 82)(32, 88)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 123)(48, 122)(49, 121)(50, 128)(51, 104)(52, 103)(53, 105)(54, 127)(55, 126)(56, 125)(57, 111)(58, 107)(59, 113)(60, 112)(61, 118)(62, 114)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.50 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B^2, B^-2 * A^-2, S * A * S * B, B^4, (A^-1, B^-1), (S * Z)^2, B^-1 * Z * A * B * Z * A^-1, (A * Z * B^-1)^2, (A^-1 * Z * A^-1)^2, A * Z * A * Z * A * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 63, 95, 127, 31, 57, 89, 121)(26, 64, 96, 128, 32, 58, 90, 122)(27, 61, 93, 125, 29, 59, 91, 123)(28, 62, 94, 126, 30, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 90)(16, 91)(17, 92)(18, 93)(19, 73)(20, 74)(21, 72)(22, 94)(23, 95)(24, 96)(25, 80)(26, 81)(27, 75)(28, 79)(29, 87)(30, 88)(31, 82)(32, 86)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 123)(48, 122)(49, 121)(50, 128)(51, 104)(52, 103)(53, 105)(54, 127)(55, 126)(56, 125)(57, 111)(58, 107)(59, 113)(60, 112)(61, 118)(62, 114)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.51 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B^2, A^2 * B^2, B^4, (A^-1, B^-1), (S * Z)^2, S * A * S * B, B * A * Z * B^-1 * A^-1 * Z, A * Z * A * B^-1 * Z * B^-1, A * Z * B * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(27, 64, 96, 128, 32, 59, 91, 123)(28, 63, 95, 127, 31, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 90)(16, 91)(17, 92)(18, 93)(19, 73)(20, 74)(21, 72)(22, 94)(23, 95)(24, 96)(25, 80)(26, 81)(27, 75)(28, 79)(29, 87)(30, 88)(31, 82)(32, 86)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 123)(48, 122)(49, 121)(50, 128)(51, 104)(52, 103)(53, 105)(54, 127)(55, 126)(56, 125)(57, 111)(58, 107)(59, 113)(60, 112)(61, 118)(62, 114)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.52 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C2 x QD16 (small group id <32, 40>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^2, (S * Z)^2, (A^-1, B), (A^-1 * B^-1)^2, S * B * S * A, (B * A^-1 * Z)^2, A^2 * B^-1 * Z * B * Z, Z * A^3 * Z * A^-1, A^-1 * Z * B^2 * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 50, 82, 114, 18, 37, 69, 101)(6, 51, 83, 115, 19, 38, 70, 102)(7, 52, 84, 116, 20, 39, 71, 103)(8, 56, 88, 120, 24, 40, 72, 104)(9, 59, 91, 123, 27, 41, 73, 105)(10, 60, 92, 124, 28, 42, 74, 106)(12, 57, 89, 121, 25, 44, 76, 108)(13, 54, 86, 118, 22, 45, 77, 109)(14, 58, 90, 122, 26, 46, 78, 110)(16, 53, 85, 117, 21, 48, 80, 112)(17, 55, 87, 119, 23, 49, 81, 113)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 85)(8, 86)(9, 66)(10, 87)(11, 93)(12, 84)(13, 70)(14, 92)(15, 90)(16, 69)(17, 68)(18, 89)(19, 94)(20, 95)(21, 75)(22, 74)(23, 83)(24, 81)(25, 73)(26, 72)(27, 80)(28, 96)(29, 82)(30, 79)(31, 91)(32, 88)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 119)(40, 98)(41, 118)(42, 117)(43, 126)(44, 124)(45, 99)(46, 116)(47, 121)(48, 100)(49, 101)(50, 122)(51, 125)(52, 128)(53, 115)(54, 103)(55, 107)(56, 112)(57, 104)(58, 105)(59, 113)(60, 127)(61, 111)(62, 114)(63, 120)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.53 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A, B^-1), (A^-1 * B^-1)^2, (S * Z)^2, S * B * S * A, A^-1 * Z * B * A * Z * B^-1, B * Z * B^-1 * A * B^-1 * Z, B * Z * A * Z * A^-2, (B * Z * A^-1)^2 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 50, 82, 114, 18, 37, 69, 101)(6, 51, 83, 115, 19, 38, 70, 102)(7, 52, 84, 116, 20, 39, 71, 103)(8, 56, 88, 120, 24, 40, 72, 104)(9, 59, 91, 123, 27, 41, 73, 105)(10, 60, 92, 124, 28, 42, 74, 106)(12, 57, 89, 121, 25, 44, 76, 108)(13, 54, 86, 118, 22, 45, 77, 109)(14, 58, 90, 122, 26, 46, 78, 110)(16, 53, 85, 117, 21, 48, 80, 112)(17, 55, 87, 119, 23, 49, 81, 113)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 85)(8, 86)(9, 66)(10, 87)(11, 93)(12, 92)(13, 70)(14, 84)(15, 89)(16, 69)(17, 68)(18, 90)(19, 94)(20, 95)(21, 83)(22, 74)(23, 75)(24, 80)(25, 73)(26, 72)(27, 81)(28, 96)(29, 82)(30, 79)(31, 91)(32, 88)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 119)(40, 98)(41, 118)(42, 117)(43, 126)(44, 116)(45, 99)(46, 124)(47, 122)(48, 100)(49, 101)(50, 121)(51, 125)(52, 128)(53, 107)(54, 103)(55, 115)(56, 113)(57, 104)(58, 105)(59, 112)(60, 127)(61, 111)(62, 114)(63, 120)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.54 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, S * B * S * A, B * A^-3, (S * Z)^2, A * Z * B * Z * B^-1 * Z * A^-1 * Z, B * Z * A * Z * A^-1 * Z * B^-1 * Z, B * Z * B * Z * A^-1 * Z * A^-1 * Z, A^-2 * Z * A * Z * A^-2 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 47, 79, 111, 15, 40, 72, 104)(11, 52, 84, 116, 20, 43, 75, 107)(13, 54, 86, 118, 22, 45, 77, 109)(14, 51, 83, 115, 19, 46, 78, 110)(16, 53, 85, 117, 21, 48, 80, 112)(17, 50, 82, 114, 18, 49, 81, 113)(23, 60, 92, 124, 28, 55, 87, 119)(24, 59, 91, 123, 27, 56, 88, 120)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 80)(10, 82)(11, 70)(12, 85)(13, 87)(14, 71)(15, 88)(16, 90)(17, 73)(18, 91)(19, 74)(20, 92)(21, 94)(22, 76)(23, 78)(24, 95)(25, 79)(26, 81)(27, 83)(28, 96)(29, 84)(30, 86)(31, 89)(32, 93)(33, 99)(34, 101)(35, 104)(36, 97)(37, 107)(38, 98)(39, 109)(40, 100)(41, 112)(42, 114)(43, 102)(44, 117)(45, 119)(46, 103)(47, 120)(48, 122)(49, 105)(50, 123)(51, 106)(52, 124)(53, 126)(54, 108)(55, 110)(56, 127)(57, 111)(58, 113)(59, 115)(60, 128)(61, 116)(62, 118)(63, 121)(64, 125)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.55 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^2, A^4, B^4, S * A * S * B, (B, A^-1), (S * Z)^2, B^-1 * Z * B * A * Z * A^-1, B * Z * A * B^-1 * Z * B, (B^-1 * Z * B * Z)^2 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 53, 85, 117, 21, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 51, 83, 115, 19, 46, 78, 110)(25, 64, 96, 128, 32, 57, 89, 121)(26, 62, 94, 126, 30, 58, 90, 122)(27, 63, 95, 127, 31, 59, 91, 123)(28, 61, 93, 125, 29, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 91)(16, 90)(17, 92)(18, 93)(19, 73)(20, 74)(21, 72)(22, 95)(23, 94)(24, 96)(25, 79)(26, 81)(27, 75)(28, 80)(29, 86)(30, 88)(31, 82)(32, 87)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 122)(48, 123)(49, 121)(50, 128)(51, 104)(52, 103)(53, 105)(54, 126)(55, 127)(56, 125)(57, 112)(58, 107)(59, 113)(60, 111)(61, 119)(62, 114)(63, 120)(64, 118)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.56 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x C2 x C2 x C2) : C2 (small group id <32, 27>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (S * Z)^2, (B * A)^2, S * A * S * B, (B * Z)^4, (A * Z)^4, (A * Z * B * Z)^2, (B * A * Z)^4 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 47, 79, 111, 15, 40, 72, 104)(11, 52, 84, 116, 20, 43, 75, 107)(13, 50, 82, 114, 18, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(16, 51, 83, 115, 19, 48, 80, 112)(17, 54, 86, 118, 22, 49, 81, 113)(23, 60, 92, 124, 28, 55, 87, 119)(24, 59, 91, 123, 27, 56, 88, 120)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 65)(4, 72)(5, 66)(6, 75)(7, 77)(8, 68)(9, 80)(10, 82)(11, 70)(12, 85)(13, 71)(14, 87)(15, 88)(16, 73)(17, 90)(18, 74)(19, 91)(20, 92)(21, 76)(22, 94)(23, 78)(24, 79)(25, 95)(26, 81)(27, 83)(28, 84)(29, 96)(30, 86)(31, 89)(32, 93)(33, 100)(34, 102)(35, 104)(36, 97)(37, 107)(38, 98)(39, 110)(40, 99)(41, 113)(42, 115)(43, 101)(44, 118)(45, 119)(46, 103)(47, 121)(48, 122)(49, 105)(50, 123)(51, 106)(52, 125)(53, 126)(54, 108)(55, 109)(56, 127)(57, 111)(58, 112)(59, 114)(60, 128)(61, 116)(62, 117)(63, 120)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.57 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B^2, B^-2 * A^-2, (B^-1 * A)^2, (S * Z)^2, B^-2 * A^2, (B, A^-1), S * A * S * B, (B^-1 * A^-1)^2, B^-1 * Z * A^-1 * B * Z * A^-1, B * Z * A^2 * Z * B, (A * Z * A^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 53, 85, 117, 21, 45, 77, 109)(14, 52, 84, 116, 20, 46, 78, 110)(25, 61, 93, 125, 29, 57, 89, 121)(26, 64, 96, 128, 32, 58, 90, 122)(27, 63, 95, 127, 31, 59, 91, 123)(28, 62, 94, 126, 30, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 92)(16, 91)(17, 90)(18, 93)(19, 73)(20, 74)(21, 72)(22, 96)(23, 95)(24, 94)(25, 80)(26, 79)(27, 75)(28, 81)(29, 87)(30, 86)(31, 82)(32, 88)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 121)(48, 122)(49, 123)(50, 128)(51, 104)(52, 103)(53, 105)(54, 125)(55, 126)(56, 127)(57, 113)(58, 107)(59, 111)(60, 112)(61, 120)(62, 114)(63, 118)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.58 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = C2 x ((C8 : C2) : C2) (small group id <64, 92>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, (S * Z)^2, S * B * S * A, B * Z * B * A^-1 * Z * A^-1, B^2 * Z * A^-2 * Z, A * Z * B * Z * A * Z * A^-1 * Z, B^4 * A^-4 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 46, 78, 110, 14, 40, 72, 104)(10, 44, 76, 108, 12, 42, 74, 106)(15, 57, 89, 121, 25, 47, 79, 111)(16, 53, 85, 117, 21, 48, 80, 112)(17, 58, 90, 122, 26, 49, 81, 113)(18, 55, 87, 119, 23, 50, 82, 114)(19, 60, 92, 124, 28, 51, 83, 115)(20, 61, 93, 125, 29, 52, 84, 116)(22, 62, 94, 126, 30, 54, 86, 118)(24, 64, 96, 128, 32, 56, 88, 120)(27, 63, 95, 127, 31, 59, 91, 123)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 76)(6, 66)(7, 79)(8, 81)(9, 82)(10, 68)(11, 84)(12, 86)(13, 87)(14, 70)(15, 73)(16, 71)(17, 91)(18, 92)(19, 74)(20, 77)(21, 75)(22, 95)(23, 96)(24, 78)(25, 94)(26, 80)(27, 83)(28, 93)(29, 90)(30, 85)(31, 88)(32, 89)(33, 99)(34, 101)(35, 104)(36, 97)(37, 108)(38, 98)(39, 111)(40, 113)(41, 114)(42, 100)(43, 116)(44, 118)(45, 119)(46, 102)(47, 105)(48, 103)(49, 123)(50, 124)(51, 106)(52, 109)(53, 107)(54, 127)(55, 128)(56, 110)(57, 126)(58, 112)(59, 115)(60, 125)(61, 122)(62, 117)(63, 120)(64, 121)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.59 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 : C2) : C2 (small group id <32, 7>)
Aut   = C2 x ((C8 : C2) : C2) (small group id <64, 92>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-2 * B * A^-1, B^2 * A^2, (B^-1, A^-1), (S * Z)^2, S * A * S * B, (B^-1 * Z * A^-1)^2, (A^-1 * Z * A^-1)^2, (A * Z * A^-1 * Z)^2 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 53, 85, 117, 21, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 51, 83, 115, 19, 46, 78, 110)(25, 64, 96, 128, 32, 57, 89, 121)(26, 62, 94, 126, 30, 58, 90, 122)(27, 63, 95, 127, 31, 59, 91, 123)(28, 61, 93, 125, 29, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 68)(13, 70)(14, 69)(15, 91)(16, 90)(17, 92)(18, 93)(19, 72)(20, 74)(21, 73)(22, 95)(23, 94)(24, 96)(25, 80)(26, 81)(27, 75)(28, 79)(29, 87)(30, 88)(31, 82)(32, 86)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 101)(45, 99)(46, 100)(47, 122)(48, 123)(49, 121)(50, 128)(51, 105)(52, 103)(53, 104)(54, 126)(55, 127)(56, 125)(57, 111)(58, 107)(59, 113)(60, 112)(61, 118)(62, 114)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.60 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (S * Z)^2, (B * A)^2, S * A * S * B, B * Z * B * Z * A * Z * A * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 47, 79, 111, 15, 40, 72, 104)(11, 52, 84, 116, 20, 43, 75, 107)(13, 54, 86, 118, 22, 45, 77, 109)(14, 51, 83, 115, 19, 46, 78, 110)(16, 53, 85, 117, 21, 48, 80, 112)(17, 50, 82, 114, 18, 49, 81, 113)(23, 60, 92, 124, 28, 55, 87, 119)(24, 59, 91, 123, 27, 56, 88, 120)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 65)(4, 72)(5, 66)(6, 75)(7, 77)(8, 68)(9, 80)(10, 82)(11, 70)(12, 85)(13, 71)(14, 87)(15, 88)(16, 73)(17, 90)(18, 74)(19, 91)(20, 92)(21, 76)(22, 94)(23, 78)(24, 79)(25, 95)(26, 81)(27, 83)(28, 84)(29, 96)(30, 86)(31, 89)(32, 93)(33, 100)(34, 102)(35, 104)(36, 97)(37, 107)(38, 98)(39, 110)(40, 99)(41, 113)(42, 115)(43, 101)(44, 118)(45, 119)(46, 103)(47, 121)(48, 122)(49, 105)(50, 123)(51, 106)(52, 125)(53, 126)(54, 108)(55, 109)(56, 127)(57, 111)(58, 112)(59, 114)(60, 128)(61, 116)(62, 117)(63, 120)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.61 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B, S * A * S * B, (S * Z)^2, A^-1 * B^-1 * A^-2, A * Z * A^-1 * Z * A^-1 * Z * A * Z, A^-1 * B^-1 * Z * A^2 * Z * A^-2 * Z * A^-2 * Z ]
Map::
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 47, 79, 111, 15, 40, 72, 104)(11, 52, 84, 116, 20, 43, 75, 107)(13, 50, 82, 114, 18, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(16, 51, 83, 115, 19, 48, 80, 112)(17, 54, 86, 118, 22, 49, 81, 113)(23, 60, 92, 124, 28, 55, 87, 119)(24, 59, 91, 123, 27, 56, 88, 120)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 80)(10, 82)(11, 70)(12, 85)(13, 87)(14, 71)(15, 88)(16, 90)(17, 73)(18, 91)(19, 74)(20, 92)(21, 94)(22, 76)(23, 78)(24, 95)(25, 79)(26, 81)(27, 83)(28, 96)(29, 84)(30, 86)(31, 89)(32, 93)(33, 100)(34, 102)(35, 97)(36, 104)(37, 98)(38, 107)(39, 110)(40, 99)(41, 113)(42, 115)(43, 101)(44, 118)(45, 103)(46, 119)(47, 121)(48, 105)(49, 122)(50, 106)(51, 123)(52, 125)(53, 108)(54, 126)(55, 109)(56, 111)(57, 127)(58, 112)(59, 114)(60, 116)(61, 128)(62, 117)(63, 120)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.62 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Z^2, S^2, S * B * S * A, (S * Z)^2, (A^-1 * Z)^2, B^2 * A^-2, (B^-1 * A^-1)^2, (B * Z)^2, A^-1 * B * A * B^-1 * A * B^-1 * A^-1 * B ]
Map:: polytopal non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 41, 73, 105, 9, 35, 67, 99)(4, 42, 74, 106, 10, 36, 68, 100)(5, 39, 71, 103, 7, 37, 69, 101)(6, 40, 72, 104, 8, 38, 70, 102)(11, 54, 86, 118, 22, 43, 75, 107)(12, 52, 84, 116, 20, 44, 76, 108)(13, 51, 83, 115, 19, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 53, 85, 117, 21, 47, 79, 111)(16, 49, 81, 113, 17, 48, 80, 112)(23, 62, 94, 126, 30, 55, 87, 119)(24, 61, 93, 125, 29, 56, 88, 120)(25, 60, 92, 124, 28, 57, 89, 121)(26, 59, 91, 123, 27, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 71)(3, 75)(4, 78)(5, 65)(6, 79)(7, 81)(8, 84)(9, 66)(10, 85)(11, 87)(12, 70)(13, 89)(14, 88)(15, 68)(16, 69)(17, 91)(18, 74)(19, 93)(20, 92)(21, 72)(22, 73)(23, 95)(24, 77)(25, 76)(26, 80)(27, 96)(28, 83)(29, 82)(30, 86)(31, 90)(32, 94)(33, 102)(34, 106)(35, 109)(36, 97)(37, 110)(38, 112)(39, 115)(40, 98)(41, 116)(42, 118)(43, 100)(44, 99)(45, 101)(46, 122)(47, 119)(48, 121)(49, 104)(50, 103)(51, 105)(52, 126)(53, 123)(54, 125)(55, 108)(56, 107)(57, 127)(58, 111)(59, 114)(60, 113)(61, 128)(62, 117)(63, 120)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.63 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Z^2, S^2, S * B * S * A, (S * Z)^2, A * Z * B^-1 * Z, B^2 * A^-2, (A^-1 * B^-1)^2 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 40, 72, 104, 8, 35, 67, 99)(4, 39, 71, 103, 7, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 41, 73, 105, 9, 38, 70, 102)(11, 49, 81, 113, 17, 43, 75, 107)(12, 52, 84, 116, 20, 44, 76, 108)(13, 53, 85, 117, 21, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 54, 86, 118, 22, 48, 80, 112)(23, 60, 92, 124, 28, 55, 87, 119)(24, 59, 91, 123, 27, 56, 88, 120)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 71)(3, 75)(4, 78)(5, 65)(6, 79)(7, 81)(8, 84)(9, 66)(10, 85)(11, 87)(12, 70)(13, 89)(14, 88)(15, 68)(16, 69)(17, 91)(18, 74)(19, 93)(20, 92)(21, 72)(22, 73)(23, 95)(24, 77)(25, 76)(26, 80)(27, 96)(28, 83)(29, 82)(30, 86)(31, 90)(32, 94)(33, 102)(34, 106)(35, 109)(36, 97)(37, 110)(38, 112)(39, 115)(40, 98)(41, 116)(42, 118)(43, 100)(44, 99)(45, 101)(46, 122)(47, 119)(48, 121)(49, 104)(50, 103)(51, 105)(52, 126)(53, 123)(54, 125)(55, 108)(56, 107)(57, 127)(58, 111)(59, 114)(60, 113)(61, 128)(62, 117)(63, 120)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.64 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 34>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Z^2, A^2, S^2, B^2, S * A * S * B, (S * Z)^2, (A * B * Z)^2, (A * Z)^4, (B * Z)^4, (B * A)^4 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 46, 78, 110, 14, 40, 72, 104)(10, 44, 76, 108, 12, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 58, 90, 122, 26, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 55, 87, 119, 23, 50, 82, 114)(19, 60, 92, 124, 28, 51, 83, 115)(21, 62, 94, 126, 30, 53, 85, 117)(22, 61, 93, 125, 29, 54, 86, 118)(24, 64, 96, 128, 32, 56, 88, 120)(27, 63, 95, 127, 31, 59, 91, 123)
	L = (1, 67)(2, 69)(3, 65)(4, 74)(5, 66)(6, 78)(7, 79)(8, 81)(9, 80)(10, 68)(11, 84)(12, 86)(13, 85)(14, 70)(15, 71)(16, 73)(17, 72)(18, 92)(19, 91)(20, 75)(21, 77)(22, 76)(23, 96)(24, 95)(25, 94)(26, 93)(27, 83)(28, 82)(29, 90)(30, 89)(31, 88)(32, 87)(33, 100)(34, 102)(35, 104)(36, 97)(37, 108)(38, 98)(39, 112)(40, 99)(41, 114)(42, 115)(43, 117)(44, 101)(45, 119)(46, 120)(47, 121)(48, 103)(49, 123)(50, 105)(51, 106)(52, 125)(53, 107)(54, 127)(55, 109)(56, 110)(57, 111)(58, 128)(59, 113)(60, 126)(61, 116)(62, 124)(63, 118)(64, 122)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.65 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2 * B^-2, A^4, (A^-1, B^-1), (S * Z)^2, S * A * S * B, A^-1 * Z * A * B * Z * A^-1, A * Z * A * B^-1 * Z * B^-1, A * Z * A^-1 * Z * A^-1 * Z * A * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 52, 84, 116, 20, 44, 76, 108)(13, 51, 83, 115, 19, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 61, 93, 125, 29, 57, 89, 121)(26, 62, 94, 126, 30, 58, 90, 122)(27, 64, 96, 128, 32, 59, 91, 123)(28, 63, 95, 127, 31, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 90)(16, 92)(17, 91)(18, 93)(19, 73)(20, 74)(21, 72)(22, 94)(23, 96)(24, 95)(25, 81)(26, 80)(27, 75)(28, 79)(29, 88)(30, 87)(31, 82)(32, 86)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 123)(48, 121)(49, 122)(50, 128)(51, 104)(52, 103)(53, 105)(54, 127)(55, 125)(56, 126)(57, 111)(58, 107)(59, 112)(60, 113)(61, 118)(62, 114)(63, 119)(64, 120)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.66 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ Z^2, S^2, (B^-1, A^-1), A^-1 * B^-2 * A^-1, (A, B), S * A * S * B, (B^-1 * A)^2, (B^-1 * A^-1)^2, B^-2 * A^2, (S * Z)^2, B * Z * A * B * Z * A^-1, B^-1 * Z * B * A^-1 * Z * A^-1, A * Z * B^-1 * Z * B * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 53, 85, 117, 21, 45, 77, 109)(14, 52, 84, 116, 20, 46, 78, 110)(25, 63, 95, 127, 31, 57, 89, 121)(26, 62, 94, 126, 30, 58, 90, 122)(27, 61, 93, 125, 29, 59, 91, 123)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 92)(16, 91)(17, 90)(18, 93)(19, 73)(20, 74)(21, 72)(22, 96)(23, 95)(24, 94)(25, 80)(26, 79)(27, 75)(28, 81)(29, 87)(30, 86)(31, 82)(32, 88)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 121)(48, 122)(49, 123)(50, 128)(51, 104)(52, 103)(53, 105)(54, 125)(55, 126)(56, 127)(57, 113)(58, 107)(59, 111)(60, 112)(61, 120)(62, 114)(63, 118)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.67 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^2 * A^-1, S * B * S * A, (A^-1 * B^-1)^2, (S * Z)^2, B^-1 * Z * B^3 * Z, A^-1 * B * Z * B * A^-1 * Z, B^-1 * Z * A * B^-1 * A^-1 * Z, A * Z * A^-1 * Z * A^2, A^2 * Z * B^2 * Z, A^-1 * Z * B * A^-1 * B^-1 * Z ]
Map:: polytopal non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 50, 82, 114, 18, 37, 69, 101)(6, 52, 84, 116, 20, 38, 70, 102)(7, 53, 85, 117, 21, 39, 71, 103)(8, 57, 89, 121, 25, 40, 72, 104)(9, 60, 92, 124, 28, 41, 73, 105)(10, 62, 94, 126, 30, 42, 74, 106)(12, 61, 93, 125, 29, 44, 76, 108)(13, 58, 90, 122, 26, 45, 77, 109)(14, 56, 88, 120, 24, 46, 78, 110)(16, 55, 87, 119, 23, 48, 80, 112)(17, 59, 91, 123, 27, 49, 81, 113)(19, 54, 86, 118, 22, 51, 83, 115)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 71)(3, 76)(4, 80)(5, 65)(6, 81)(7, 86)(8, 90)(9, 66)(10, 91)(11, 95)(12, 85)(13, 70)(14, 94)(15, 88)(16, 89)(17, 68)(18, 93)(19, 69)(20, 87)(21, 96)(22, 75)(23, 74)(24, 84)(25, 78)(26, 79)(27, 72)(28, 83)(29, 73)(30, 77)(31, 82)(32, 92)(33, 102)(34, 106)(35, 110)(36, 97)(37, 112)(38, 115)(39, 120)(40, 98)(41, 122)(42, 125)(43, 119)(44, 100)(45, 99)(46, 101)(47, 118)(48, 124)(49, 117)(50, 123)(51, 126)(52, 127)(53, 109)(54, 104)(55, 103)(56, 105)(57, 108)(58, 114)(59, 107)(60, 113)(61, 116)(62, 128)(63, 111)(64, 121)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.68 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^-2, (A^-1 * B^-1)^2, S * B * S * A, (S * Z)^2, B^-1 * Z * B^-2 * A^-1 * Z, B * Z * B^-1 * A * B^-1 * Z, B^2 * Z * A^-2 * Z, A * Z * A^-1 * B * A^-1 * Z, Z * B^-3 * Z * A^-1 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 50, 82, 114, 18, 37, 69, 101)(6, 52, 84, 116, 20, 38, 70, 102)(7, 53, 85, 117, 21, 39, 71, 103)(8, 57, 89, 121, 25, 40, 72, 104)(9, 60, 92, 124, 28, 41, 73, 105)(10, 62, 94, 126, 30, 42, 74, 106)(12, 54, 86, 118, 22, 44, 76, 108)(13, 58, 90, 122, 26, 45, 77, 109)(14, 59, 91, 123, 27, 46, 78, 110)(16, 55, 87, 119, 23, 48, 80, 112)(17, 56, 88, 120, 24, 49, 81, 113)(19, 61, 93, 125, 29, 51, 83, 115)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 71)(3, 76)(4, 80)(5, 65)(6, 81)(7, 86)(8, 90)(9, 66)(10, 91)(11, 87)(12, 94)(13, 70)(14, 85)(15, 93)(16, 92)(17, 68)(18, 88)(19, 69)(20, 95)(21, 77)(22, 84)(23, 74)(24, 75)(25, 83)(26, 82)(27, 72)(28, 78)(29, 73)(30, 96)(31, 79)(32, 89)(33, 102)(34, 106)(35, 110)(36, 97)(37, 112)(38, 115)(39, 120)(40, 98)(41, 122)(42, 125)(43, 127)(44, 100)(45, 99)(46, 101)(47, 123)(48, 121)(49, 126)(50, 118)(51, 117)(52, 119)(53, 128)(54, 104)(55, 103)(56, 105)(57, 113)(58, 111)(59, 116)(60, 108)(61, 107)(62, 109)(63, 114)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.69 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1, B), A^4, (S * Z)^2, B^4, S * B * S * A, (A^-1 * B * Z)^2, A * Z * B^-1 * A^-1 * B^-1 * Z, (A^-2 * Z)^2, A * Z * B * Z * B^-1 * A, B * A^-1 * B * Z * A * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 50, 82, 114, 18, 37, 69, 101)(6, 52, 84, 116, 20, 38, 70, 102)(7, 53, 85, 117, 21, 39, 71, 103)(8, 57, 89, 121, 25, 40, 72, 104)(9, 60, 92, 124, 28, 41, 73, 105)(10, 62, 94, 126, 30, 42, 74, 106)(12, 54, 86, 118, 22, 44, 76, 108)(13, 61, 93, 125, 29, 45, 77, 109)(14, 59, 91, 123, 27, 46, 78, 110)(16, 58, 90, 122, 26, 48, 80, 112)(17, 56, 88, 120, 24, 49, 81, 113)(19, 55, 87, 119, 23, 51, 83, 115)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 86)(8, 87)(9, 66)(10, 88)(11, 95)(12, 69)(13, 89)(14, 94)(15, 91)(16, 85)(17, 68)(18, 90)(19, 70)(20, 93)(21, 96)(22, 73)(23, 79)(24, 84)(25, 81)(26, 75)(27, 72)(28, 80)(29, 74)(30, 83)(31, 82)(32, 92)(33, 102)(34, 106)(35, 110)(36, 97)(37, 115)(38, 112)(39, 120)(40, 98)(41, 125)(42, 122)(43, 119)(44, 126)(45, 99)(46, 117)(47, 118)(48, 100)(49, 101)(50, 123)(51, 124)(52, 127)(53, 109)(54, 116)(55, 103)(56, 107)(57, 108)(58, 104)(59, 105)(60, 113)(61, 114)(62, 128)(63, 111)(64, 121)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.70 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (S * Z)^2, (B * A^-1)^2, S * B * S * A, B * Z * B * A^-1 * Z * A^-1, A^2 * Z * A^-2 * Z, B * Z * B * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 43, 75, 107, 11, 40, 72, 104)(13, 49, 81, 113, 17, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 52, 84, 116, 20, 48, 80, 112)(21, 57, 89, 121, 25, 53, 85, 117)(22, 58, 90, 122, 26, 54, 86, 118)(23, 59, 91, 123, 27, 55, 87, 119)(24, 60, 92, 124, 28, 56, 88, 120)(29, 63, 95, 127, 31, 61, 93, 125)(30, 64, 96, 128, 32, 62, 94, 126)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 78)(10, 79)(11, 70)(12, 80)(13, 73)(14, 71)(15, 76)(16, 74)(17, 85)(18, 86)(19, 87)(20, 88)(21, 82)(22, 81)(23, 84)(24, 83)(25, 93)(26, 94)(27, 95)(28, 96)(29, 90)(30, 89)(31, 92)(32, 91)(33, 99)(34, 101)(35, 104)(36, 97)(37, 107)(38, 98)(39, 109)(40, 100)(41, 110)(42, 111)(43, 102)(44, 112)(45, 105)(46, 103)(47, 108)(48, 106)(49, 117)(50, 118)(51, 119)(52, 120)(53, 114)(54, 113)(55, 116)(56, 115)(57, 125)(58, 126)(59, 127)(60, 128)(61, 122)(62, 121)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.71 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^-1, (S * Z)^2, S * B * S * A, B * Z * A^-2 * Z * A^-1, (B^-1 * Z * A)^2, B^2 * Z * A^-2 * Z, B^2 * A^-4 * B^2, (A * Z * B^-1 * Z)^2, A * B^-1 * A * B^-2 * A * B^-1 * A, A * Z * A * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 46, 78, 110, 14, 40, 72, 104)(10, 44, 76, 108, 12, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 55, 87, 119, 23, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 53, 85, 117, 21, 50, 82, 114)(19, 59, 91, 123, 27, 51, 83, 115)(22, 60, 92, 124, 28, 54, 86, 118)(24, 62, 94, 126, 30, 56, 88, 120)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 76)(6, 66)(7, 79)(8, 81)(9, 82)(10, 68)(11, 84)(12, 86)(13, 87)(14, 70)(15, 73)(16, 71)(17, 90)(18, 91)(19, 74)(20, 77)(21, 75)(22, 93)(23, 94)(24, 78)(25, 80)(26, 83)(27, 95)(28, 85)(29, 88)(30, 96)(31, 89)(32, 92)(33, 99)(34, 101)(35, 104)(36, 97)(37, 108)(38, 98)(39, 111)(40, 113)(41, 114)(42, 100)(43, 116)(44, 118)(45, 119)(46, 102)(47, 105)(48, 103)(49, 122)(50, 123)(51, 106)(52, 109)(53, 107)(54, 125)(55, 126)(56, 110)(57, 112)(58, 115)(59, 127)(60, 117)(61, 120)(62, 128)(63, 121)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.72 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-2 * A^2, A^4, (B, A^-1), (S * Z)^2, S * A * S * B, B * Z * B^-1 * A * Z * A^-1, A^-1 * Z * A * B * Z * B^-1, (B^-1 * Z * A^-1)^2, B * Z * B^-1 * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 64, 96, 128, 32, 57, 89, 121)(26, 63, 95, 127, 31, 58, 90, 122)(27, 62, 94, 126, 30, 59, 91, 123)(28, 61, 93, 125, 29, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 90)(16, 91)(17, 92)(18, 93)(19, 73)(20, 74)(21, 72)(22, 94)(23, 95)(24, 96)(25, 80)(26, 81)(27, 75)(28, 79)(29, 87)(30, 88)(31, 82)(32, 86)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 123)(48, 122)(49, 121)(50, 128)(51, 104)(52, 103)(53, 105)(54, 127)(55, 126)(56, 125)(57, 111)(58, 107)(59, 113)(60, 112)(61, 118)(62, 114)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.73 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C8 x C2) : C2 (small group id <32, 9>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A^3, B^2 * A^2, B * A^-1 * B^2, (B^-1, A^-1), S * A * S * B, (S * Z)^2, (B^-1 * Z * A^-1)^2, (A^-1 * Z * A^-1)^2, A * Z * A^-1 * Z * A * Z * B * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 53, 85, 117, 21, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 51, 83, 115, 19, 46, 78, 110)(25, 61, 93, 125, 29, 57, 89, 121)(26, 63, 95, 127, 31, 58, 90, 122)(27, 62, 94, 126, 30, 59, 91, 123)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 68)(13, 70)(14, 69)(15, 91)(16, 90)(17, 92)(18, 93)(19, 72)(20, 74)(21, 73)(22, 95)(23, 94)(24, 96)(25, 80)(26, 81)(27, 75)(28, 79)(29, 87)(30, 88)(31, 82)(32, 86)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 101)(45, 99)(46, 100)(47, 122)(48, 123)(49, 121)(50, 128)(51, 105)(52, 103)(53, 104)(54, 126)(55, 127)(56, 125)(57, 111)(58, 107)(59, 113)(60, 112)(61, 118)(62, 114)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.74 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * B * S * A, (S * Z)^2, B^2 * A^-2, B * Z * A * Z * B^-1 * Z * A^-1 * Z, B * Z * B * Z * B^-1 * Z * B^-1 * Z, A * Z * A * Z * A^-1 * Z * A^-1 * Z, B^2 * Z * A^2 * Z * A^-2 * Z * A^-2 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 47, 79, 111, 15, 40, 72, 104)(11, 52, 84, 116, 20, 43, 75, 107)(13, 50, 82, 114, 18, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(16, 51, 83, 115, 19, 48, 80, 112)(17, 54, 86, 118, 22, 49, 81, 113)(23, 60, 92, 124, 28, 55, 87, 119)(24, 59, 91, 123, 27, 56, 88, 120)(25, 62, 94, 126, 30, 57, 89, 121)(26, 61, 93, 125, 29, 58, 90, 122)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 80)(10, 82)(11, 70)(12, 85)(13, 87)(14, 71)(15, 88)(16, 90)(17, 73)(18, 91)(19, 74)(20, 92)(21, 94)(22, 76)(23, 78)(24, 95)(25, 79)(26, 81)(27, 83)(28, 96)(29, 84)(30, 86)(31, 89)(32, 93)(33, 99)(34, 101)(35, 104)(36, 97)(37, 107)(38, 98)(39, 109)(40, 100)(41, 112)(42, 114)(43, 102)(44, 117)(45, 119)(46, 103)(47, 120)(48, 122)(49, 105)(50, 123)(51, 106)(52, 124)(53, 126)(54, 108)(55, 110)(56, 127)(57, 111)(58, 113)(59, 115)(60, 128)(61, 116)(62, 118)(63, 121)(64, 125)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.75 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ Z^2, S^2, B * A, S * A * S * B, (S * Z)^2, A^2 * Z * B * A^-1 * Z, B^2 * Z * B^-2 * Z, A * Z * A * Z * B^-1 * Z * B^-1 * Z, B^3 * A^-5 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 44, 76, 108, 12, 40, 72, 104)(10, 46, 78, 110, 14, 42, 74, 106)(15, 55, 87, 119, 23, 47, 79, 111)(16, 58, 90, 122, 26, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 52, 84, 116, 20, 50, 82, 114)(19, 60, 92, 124, 28, 51, 83, 115)(21, 62, 94, 126, 30, 53, 85, 117)(22, 61, 93, 125, 29, 54, 86, 118)(24, 64, 96, 128, 32, 56, 88, 120)(27, 63, 95, 127, 31, 59, 91, 123)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 76)(6, 66)(7, 79)(8, 81)(9, 80)(10, 68)(11, 84)(12, 86)(13, 85)(14, 70)(15, 89)(16, 71)(17, 91)(18, 73)(19, 74)(20, 93)(21, 75)(22, 95)(23, 77)(24, 78)(25, 94)(26, 96)(27, 83)(28, 82)(29, 90)(30, 92)(31, 88)(32, 87)(33, 99)(34, 101)(35, 104)(36, 97)(37, 108)(38, 98)(39, 111)(40, 113)(41, 112)(42, 100)(43, 116)(44, 118)(45, 117)(46, 102)(47, 121)(48, 103)(49, 123)(50, 105)(51, 106)(52, 125)(53, 107)(54, 127)(55, 109)(56, 110)(57, 126)(58, 128)(59, 115)(60, 114)(61, 122)(62, 124)(63, 120)(64, 119)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.76 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2 * A^2, A^4, (S * Z)^2, (B, A), B^4, S * A * S * B, B * Z * B^2 * Z * A^-1, B^-1 * Z * B * A * Z * A^-1, B^-1 * Z * B * Z * B^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 53, 85, 117, 21, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 51, 83, 115, 19, 46, 78, 110)(25, 61, 93, 125, 29, 57, 89, 121)(26, 63, 95, 127, 31, 58, 90, 122)(27, 62, 94, 126, 30, 59, 91, 123)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 69)(13, 70)(14, 68)(15, 91)(16, 90)(17, 92)(18, 93)(19, 73)(20, 74)(21, 72)(22, 95)(23, 94)(24, 96)(25, 79)(26, 81)(27, 75)(28, 80)(29, 86)(30, 88)(31, 82)(32, 87)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 100)(45, 99)(46, 101)(47, 122)(48, 123)(49, 121)(50, 128)(51, 104)(52, 103)(53, 105)(54, 126)(55, 127)(56, 125)(57, 112)(58, 107)(59, 113)(60, 111)(61, 119)(62, 114)(63, 120)(64, 118)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.77 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1 * B^-1)^2, B^-3 * A, A^-2 * B^-2, B * A^-3, S * A * S * B, (S * Z)^2, A^-1 * Z * B * A^-1 * Z * A^-1, (B^-1 * Z * A^-1)^2, A * Z * A^-1 * Z * A * Z * B * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 48, 80, 112, 16, 37, 69, 101)(6, 49, 81, 113, 17, 38, 70, 102)(7, 50, 82, 114, 18, 39, 71, 103)(8, 54, 86, 118, 22, 40, 72, 104)(9, 55, 87, 119, 23, 41, 73, 105)(10, 56, 88, 120, 24, 42, 74, 106)(12, 51, 83, 115, 19, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 53, 85, 117, 21, 46, 78, 110)(25, 64, 96, 128, 32, 57, 89, 121)(26, 63, 95, 127, 31, 58, 90, 122)(27, 62, 94, 126, 30, 59, 91, 123)(28, 61, 93, 125, 29, 60, 92, 124)
	L = (1, 67)(2, 71)(3, 76)(4, 77)(5, 65)(6, 78)(7, 83)(8, 84)(9, 66)(10, 85)(11, 89)(12, 68)(13, 70)(14, 69)(15, 90)(16, 91)(17, 92)(18, 93)(19, 72)(20, 74)(21, 73)(22, 94)(23, 95)(24, 96)(25, 79)(26, 81)(27, 75)(28, 80)(29, 86)(30, 88)(31, 82)(32, 87)(33, 102)(34, 106)(35, 110)(36, 97)(37, 109)(38, 108)(39, 117)(40, 98)(41, 116)(42, 115)(43, 124)(44, 101)(45, 99)(46, 100)(47, 123)(48, 122)(49, 121)(50, 128)(51, 105)(52, 103)(53, 104)(54, 127)(55, 126)(56, 125)(57, 112)(58, 107)(59, 113)(60, 111)(61, 119)(62, 114)(63, 120)(64, 118)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.78 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = C2 x (C16 : C2) (small group id <64, 184>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, A^2 * Z * A^-2 * Z, B * Z * A * B^-1 * Z * A^-1, B^2 * Z * B^-2 * Z, B^-1 * Z * B * Z * A * Z * A^-1 * Z, A^5 * Z * B^-1 * Z * B^-2, A^3 * Z * A * B^-4 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 44, 76, 108, 12, 40, 72, 104)(10, 46, 78, 110, 14, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 53, 85, 117, 21, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 55, 87, 119, 23, 50, 82, 114)(19, 59, 91, 123, 27, 51, 83, 115)(22, 61, 93, 125, 29, 54, 86, 118)(24, 63, 95, 127, 31, 56, 88, 120)(26, 62, 94, 126, 30, 58, 90, 122)(28, 64, 96, 128, 32, 60, 92, 124)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 76)(6, 66)(7, 79)(8, 81)(9, 80)(10, 68)(11, 84)(12, 86)(13, 85)(14, 70)(15, 89)(16, 71)(17, 90)(18, 73)(19, 74)(20, 93)(21, 75)(22, 94)(23, 77)(24, 78)(25, 96)(26, 95)(27, 82)(28, 83)(29, 92)(30, 91)(31, 87)(32, 88)(33, 99)(34, 101)(35, 104)(36, 97)(37, 108)(38, 98)(39, 111)(40, 113)(41, 112)(42, 100)(43, 116)(44, 118)(45, 117)(46, 102)(47, 121)(48, 103)(49, 122)(50, 105)(51, 106)(52, 125)(53, 107)(54, 126)(55, 109)(56, 110)(57, 128)(58, 127)(59, 114)(60, 115)(61, 124)(62, 123)(63, 119)(64, 120)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.79 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D32 (small group id <32, 18>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^2, B^-1 * A, S * B * S * A, (S * Z)^2, (A * Z)^16 ]
Map::
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 37, 69, 101, 5, 35, 67, 99)(4, 38, 70, 102, 6, 36, 68, 100)(7, 41, 73, 105, 9, 39, 71, 103)(8, 42, 74, 106, 10, 40, 72, 104)(11, 45, 77, 109, 13, 43, 75, 107)(12, 46, 78, 110, 14, 44, 76, 108)(15, 55, 87, 119, 23, 47, 79, 111)(16, 57, 89, 121, 25, 48, 80, 112)(17, 59, 91, 123, 27, 49, 81, 113)(18, 61, 93, 125, 29, 50, 82, 114)(19, 63, 95, 127, 31, 51, 83, 115)(20, 64, 96, 128, 32, 52, 84, 116)(21, 62, 94, 126, 30, 53, 85, 117)(22, 60, 92, 124, 28, 54, 86, 118)(24, 58, 90, 122, 26, 56, 88, 120)
	L = (1, 67)(2, 68)(3, 65)(4, 66)(5, 71)(6, 72)(7, 69)(8, 70)(9, 75)(10, 76)(11, 73)(12, 74)(13, 79)(14, 80)(15, 77)(16, 78)(17, 87)(18, 89)(19, 91)(20, 93)(21, 95)(22, 96)(23, 81)(24, 94)(25, 82)(26, 92)(27, 83)(28, 90)(29, 84)(30, 88)(31, 85)(32, 86)(33, 99)(34, 100)(35, 97)(36, 98)(37, 103)(38, 104)(39, 101)(40, 102)(41, 107)(42, 108)(43, 105)(44, 106)(45, 111)(46, 112)(47, 109)(48, 110)(49, 119)(50, 121)(51, 123)(52, 125)(53, 127)(54, 128)(55, 113)(56, 126)(57, 114)(58, 124)(59, 115)(60, 122)(61, 116)(62, 120)(63, 117)(64, 118)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.80 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D32 (small group id <32, 18>)
Aut   = C2 x D32 (small group id <64, 186>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, S * A * S * B, (S * Z)^2, A * Z * B^-1 * Z, B^8 * A^-8 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 38, 70, 102, 6, 35, 67, 99)(4, 37, 69, 101, 5, 36, 68, 100)(7, 42, 74, 106, 10, 39, 71, 103)(8, 41, 73, 105, 9, 40, 72, 104)(11, 46, 78, 110, 14, 43, 75, 107)(12, 45, 77, 109, 13, 44, 76, 108)(15, 50, 82, 114, 18, 47, 79, 111)(16, 49, 81, 113, 17, 48, 80, 112)(19, 54, 86, 118, 22, 51, 83, 115)(20, 53, 85, 117, 21, 52, 84, 116)(23, 58, 90, 122, 26, 55, 87, 119)(24, 57, 89, 121, 25, 56, 88, 120)(27, 62, 94, 126, 30, 59, 91, 123)(28, 61, 93, 125, 29, 60, 92, 124)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 69)(3, 71)(4, 65)(5, 73)(6, 66)(7, 75)(8, 68)(9, 77)(10, 70)(11, 79)(12, 72)(13, 81)(14, 74)(15, 83)(16, 76)(17, 85)(18, 78)(19, 87)(20, 80)(21, 89)(22, 82)(23, 91)(24, 84)(25, 93)(26, 86)(27, 95)(28, 88)(29, 96)(30, 90)(31, 92)(32, 94)(33, 99)(34, 101)(35, 103)(36, 97)(37, 105)(38, 98)(39, 107)(40, 100)(41, 109)(42, 102)(43, 111)(44, 104)(45, 113)(46, 106)(47, 115)(48, 108)(49, 117)(50, 110)(51, 119)(52, 112)(53, 121)(54, 114)(55, 123)(56, 116)(57, 125)(58, 118)(59, 127)(60, 120)(61, 128)(62, 122)(63, 124)(64, 126)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.81 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD32 (small group id <32, 19>)
Aut   = C2 x QD32 (small group id <64, 187>)
|r| :: 2
Presentation :: [ Z^2, S^2, A^-1 * B^-1, (B^-1 * A)^2, B^2 * A^-2, (S * Z)^2, S * B * S * A, B^2 * Z * A^-2 * Z, (B^-1 * Z * A)^2, A * Z * A * Z * A * Z * A^-1 * Z * B * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 43, 75, 107, 11, 40, 72, 104)(13, 49, 81, 113, 17, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 52, 84, 116, 20, 48, 80, 112)(21, 57, 89, 121, 25, 53, 85, 117)(22, 58, 90, 122, 26, 54, 86, 118)(23, 59, 91, 123, 27, 55, 87, 119)(24, 60, 92, 124, 28, 56, 88, 120)(29, 64, 96, 128, 32, 61, 93, 125)(30, 63, 95, 127, 31, 62, 94, 126)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 78)(10, 79)(11, 70)(12, 80)(13, 73)(14, 71)(15, 76)(16, 74)(17, 85)(18, 86)(19, 87)(20, 88)(21, 82)(22, 81)(23, 84)(24, 83)(25, 93)(26, 94)(27, 95)(28, 96)(29, 90)(30, 89)(31, 92)(32, 91)(33, 99)(34, 101)(35, 104)(36, 97)(37, 107)(38, 98)(39, 109)(40, 100)(41, 110)(42, 111)(43, 102)(44, 112)(45, 105)(46, 103)(47, 108)(48, 106)(49, 117)(50, 118)(51, 119)(52, 120)(53, 114)(54, 113)(55, 116)(56, 115)(57, 125)(58, 126)(59, 127)(60, 128)(61, 122)(62, 121)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.82 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD32 (small group id <32, 19>)
Aut   = C2 x QD32 (small group id <64, 187>)
|r| :: 2
Presentation :: [ Z^2, S^2, A * B, S * B * S * A, (S * Z)^2, A^2 * Z * B^-2 * Z, B * Z * B * A^-1 * Z * A^-1, B^-1 * Z * A * Z * A * Z * B^-1 * Z, B^5 * Z * B^-3 * Z, A^3 * Z * B * A^-4 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 43, 75, 107, 11, 37, 69, 101)(6, 45, 77, 109, 13, 38, 70, 102)(8, 46, 78, 110, 14, 40, 72, 104)(10, 44, 76, 108, 12, 42, 74, 106)(15, 52, 84, 116, 20, 47, 79, 111)(16, 55, 87, 119, 23, 48, 80, 112)(17, 57, 89, 121, 25, 49, 81, 113)(18, 53, 85, 117, 21, 50, 82, 114)(19, 59, 91, 123, 27, 51, 83, 115)(22, 61, 93, 125, 29, 54, 86, 118)(24, 63, 95, 127, 31, 56, 88, 120)(26, 64, 96, 128, 32, 58, 90, 122)(28, 62, 94, 126, 30, 60, 92, 124)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 76)(6, 66)(7, 79)(8, 81)(9, 82)(10, 68)(11, 84)(12, 86)(13, 87)(14, 70)(15, 73)(16, 71)(17, 90)(18, 91)(19, 74)(20, 77)(21, 75)(22, 94)(23, 95)(24, 78)(25, 80)(26, 93)(27, 96)(28, 83)(29, 85)(30, 89)(31, 92)(32, 88)(33, 99)(34, 101)(35, 104)(36, 97)(37, 108)(38, 98)(39, 111)(40, 113)(41, 114)(42, 100)(43, 116)(44, 118)(45, 119)(46, 102)(47, 105)(48, 103)(49, 122)(50, 123)(51, 106)(52, 109)(53, 107)(54, 126)(55, 127)(56, 110)(57, 112)(58, 125)(59, 128)(60, 115)(61, 117)(62, 121)(63, 124)(64, 120)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.83 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = C16 : C2 (small group id <32, 17>)
Aut   = (C16 : C2) : C2 (small group id <64, 42>)
|r| :: 2
Presentation :: [ Z^2, S^2, S * B * S * A, (S * Z)^2, B * A^-2 * B, B * Z * A * B^2, Z * B^2 * A * B, A * B^-1 * A * Z * B^-1 * Z, B * A * Z * A^-1 * B^-1 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 43, 75, 107, 11, 35, 67, 99)(4, 47, 79, 111, 15, 36, 68, 100)(5, 50, 82, 114, 18, 37, 69, 101)(6, 53, 85, 117, 21, 38, 70, 102)(7, 55, 87, 119, 23, 39, 71, 103)(8, 57, 89, 121, 25, 40, 72, 104)(9, 60, 92, 124, 28, 41, 73, 105)(10, 62, 94, 126, 30, 42, 74, 106)(12, 54, 86, 118, 22, 44, 76, 108)(13, 51, 83, 115, 19, 45, 77, 109)(14, 56, 88, 120, 24, 46, 78, 110)(16, 58, 90, 122, 26, 48, 80, 112)(17, 59, 91, 123, 27, 49, 81, 113)(20, 61, 93, 125, 29, 52, 84, 116)(31, 64, 96, 128, 32, 63, 95, 127)
	L = (1, 67)(2, 71)(3, 76)(4, 80)(5, 65)(6, 81)(7, 86)(8, 90)(9, 66)(10, 91)(11, 84)(12, 74)(13, 73)(14, 89)(15, 83)(16, 82)(17, 68)(18, 95)(19, 69)(20, 94)(21, 88)(22, 70)(23, 93)(24, 79)(25, 77)(26, 92)(27, 72)(28, 96)(29, 85)(30, 78)(31, 75)(32, 87)(33, 102)(34, 106)(35, 110)(36, 97)(37, 116)(38, 115)(39, 120)(40, 98)(41, 125)(42, 109)(43, 123)(44, 100)(45, 99)(46, 101)(47, 127)(48, 119)(49, 124)(50, 108)(51, 103)(52, 111)(53, 112)(54, 104)(55, 113)(56, 105)(57, 128)(58, 107)(59, 114)(60, 118)(61, 121)(62, 122)(63, 117)(64, 126)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.84 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D32 (small group id <32, 18>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^2, A^2, (B * A)^2, (S * Z)^2, S * B * S * A, B * Z * B * A * Z * A, B * Z * B * Z * B * Z * B * Z * B * Z * B * Z * B * Z * A * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 43, 75, 107, 11, 40, 72, 104)(13, 49, 81, 113, 17, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 52, 84, 116, 20, 48, 80, 112)(21, 57, 89, 121, 25, 53, 85, 117)(22, 58, 90, 122, 26, 54, 86, 118)(23, 59, 91, 123, 27, 55, 87, 119)(24, 60, 92, 124, 28, 56, 88, 120)(29, 64, 96, 128, 32, 61, 93, 125)(30, 63, 95, 127, 31, 62, 94, 126)
	L = (1, 67)(2, 69)(3, 65)(4, 72)(5, 66)(6, 75)(7, 77)(8, 68)(9, 78)(10, 79)(11, 70)(12, 80)(13, 71)(14, 73)(15, 74)(16, 76)(17, 85)(18, 86)(19, 87)(20, 88)(21, 81)(22, 82)(23, 83)(24, 84)(25, 93)(26, 94)(27, 95)(28, 96)(29, 89)(30, 90)(31, 91)(32, 92)(33, 100)(34, 102)(35, 104)(36, 97)(37, 107)(38, 98)(39, 110)(40, 99)(41, 109)(42, 112)(43, 101)(44, 111)(45, 105)(46, 103)(47, 108)(48, 106)(49, 118)(50, 117)(51, 120)(52, 119)(53, 114)(54, 113)(55, 116)(56, 115)(57, 126)(58, 125)(59, 128)(60, 127)(61, 122)(62, 121)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.85 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Z^2, S^2, B^-1 * A, A^4, (S * Z)^2, S * A * S * B, (A^-1 * Z * A^-1)^2, A^-1 * Z * A^-1 * Z * A * Z * A * Z * A * Z * A^-1 * Z * A^-1 * Z * A^-1 * Z ]
Map::
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 39, 71, 103, 7, 35, 67, 99)(4, 41, 73, 105, 9, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 44, 76, 108, 12, 38, 70, 102)(8, 43, 75, 107, 11, 40, 72, 104)(13, 49, 81, 113, 17, 45, 77, 109)(14, 50, 82, 114, 18, 46, 78, 110)(15, 51, 83, 115, 19, 47, 79, 111)(16, 52, 84, 116, 20, 48, 80, 112)(21, 57, 89, 121, 25, 53, 85, 117)(22, 58, 90, 122, 26, 54, 86, 118)(23, 59, 91, 123, 27, 55, 87, 119)(24, 60, 92, 124, 28, 56, 88, 120)(29, 64, 96, 128, 32, 61, 93, 125)(30, 63, 95, 127, 31, 62, 94, 126)
	L = (1, 67)(2, 69)(3, 72)(4, 65)(5, 75)(6, 66)(7, 77)(8, 68)(9, 78)(10, 79)(11, 70)(12, 80)(13, 73)(14, 71)(15, 76)(16, 74)(17, 85)(18, 86)(19, 87)(20, 88)(21, 82)(22, 81)(23, 84)(24, 83)(25, 93)(26, 94)(27, 95)(28, 96)(29, 90)(30, 89)(31, 92)(32, 91)(33, 100)(34, 102)(35, 97)(36, 104)(37, 98)(38, 107)(39, 110)(40, 99)(41, 109)(42, 112)(43, 101)(44, 111)(45, 103)(46, 105)(47, 106)(48, 108)(49, 118)(50, 117)(51, 120)(52, 119)(53, 113)(54, 114)(55, 115)(56, 116)(57, 126)(58, 125)(59, 128)(60, 127)(61, 121)(62, 122)(63, 123)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.86 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = D32 (small group id <32, 18>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1 * B^-1)^2, (B, A^-1), S * A * S * B, (B^-1 * Z)^2, (A^-1 * Z)^2, (S * Z)^2, B * A * Z * B^-1 * A^-1 * Z, B^4 * A^-1 * B * A^-2, A^4 * B^-1 * Z * A^-3 * Z ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 41, 73, 105, 9, 35, 67, 99)(4, 42, 74, 106, 10, 36, 68, 100)(5, 39, 71, 103, 7, 37, 69, 101)(6, 40, 72, 104, 8, 38, 70, 102)(11, 51, 83, 115, 19, 43, 75, 107)(12, 49, 81, 113, 17, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 48, 80, 112, 16, 46, 78, 110)(15, 50, 82, 114, 18, 47, 79, 111)(21, 60, 92, 124, 28, 53, 85, 117)(22, 59, 91, 123, 27, 54, 86, 118)(23, 58, 90, 122, 26, 55, 87, 119)(24, 57, 89, 121, 25, 56, 88, 120)(29, 64, 96, 128, 32, 61, 93, 125)(30, 63, 95, 127, 31, 62, 94, 126)
	L = (1, 67)(2, 71)(3, 75)(4, 76)(5, 65)(6, 77)(7, 80)(8, 81)(9, 66)(10, 82)(11, 85)(12, 70)(13, 86)(14, 69)(15, 68)(16, 89)(17, 74)(18, 90)(19, 73)(20, 72)(21, 93)(22, 94)(23, 79)(24, 78)(25, 95)(26, 96)(27, 84)(28, 83)(29, 87)(30, 88)(31, 91)(32, 92)(33, 102)(34, 106)(35, 109)(36, 97)(37, 108)(38, 107)(39, 114)(40, 98)(41, 113)(42, 112)(43, 118)(44, 99)(45, 117)(46, 100)(47, 101)(48, 122)(49, 103)(50, 121)(51, 104)(52, 105)(53, 126)(54, 125)(55, 110)(56, 111)(57, 128)(58, 127)(59, 115)(60, 116)(61, 120)(62, 119)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.87 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {2, 2})
Quotient :: toric
Aut^+ = QD32 (small group id <32, 19>)
Aut   = (C2 x D16) : C2 (small group id <64, 190>)
|r| :: 2
Presentation :: [ Z^2, S^2, (A^-1 * B^-1)^2, (B^-1, A^-1), (S * Z)^2, S * A * S * B, A * Z * B^-1 * Z, (Z * A^-2)^2, B * A^-1 * B^2 * A^-4 ]
Map:: non-degenerate
	R = (1, 34, 66, 98, 2, 33, 65, 97)(3, 40, 72, 104, 8, 35, 67, 99)(4, 39, 71, 103, 7, 36, 68, 100)(5, 42, 74, 106, 10, 37, 69, 101)(6, 41, 73, 105, 9, 38, 70, 102)(11, 51, 83, 115, 19, 43, 75, 107)(12, 49, 81, 113, 17, 44, 76, 108)(13, 52, 84, 116, 20, 45, 77, 109)(14, 48, 80, 112, 16, 46, 78, 110)(15, 50, 82, 114, 18, 47, 79, 111)(21, 59, 91, 123, 27, 53, 85, 117)(22, 60, 92, 124, 28, 54, 86, 118)(23, 57, 89, 121, 25, 55, 87, 119)(24, 58, 90, 122, 26, 56, 88, 120)(29, 64, 96, 128, 32, 61, 93, 125)(30, 63, 95, 127, 31, 62, 94, 126)
	L = (1, 67)(2, 71)(3, 75)(4, 76)(5, 65)(6, 77)(7, 80)(8, 81)(9, 66)(10, 82)(11, 85)(12, 70)(13, 86)(14, 69)(15, 68)(16, 89)(17, 74)(18, 90)(19, 73)(20, 72)(21, 93)(22, 94)(23, 79)(24, 78)(25, 95)(26, 96)(27, 84)(28, 83)(29, 87)(30, 88)(31, 91)(32, 92)(33, 102)(34, 106)(35, 109)(36, 97)(37, 108)(38, 107)(39, 114)(40, 98)(41, 113)(42, 112)(43, 118)(44, 99)(45, 117)(46, 100)(47, 101)(48, 122)(49, 103)(50, 121)(51, 104)(52, 105)(53, 126)(54, 125)(55, 110)(56, 111)(57, 128)(58, 127)(59, 115)(60, 116)(61, 120)(62, 119)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.88 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ S^2, A * Z * B, A * Z^-1 * B * Z, S * A * S * B, Z^2 * B^-1 * A^-1, (S * Z)^2, B^-1 * Z * A^-1 * Z^-1, B^2 * Z^-1 * B^-1 * A, B^2 * A^-1 * B * A^-2 * B * A^-1, B^4 * A^-4 ]
Map:: non-degenerate
	R = (1, 42, 82, 122, 2, 48, 88, 128, 8, 59, 99, 139, 19, 45, 85, 125, 5, 41, 81, 121)(3, 47, 87, 127, 7, 49, 89, 129, 9, 51, 91, 131, 11, 53, 93, 133, 13, 43, 83, 123)(4, 50, 90, 130, 10, 58, 98, 138, 18, 46, 86, 126, 6, 56, 96, 136, 16, 44, 84, 124)(12, 54, 94, 134, 14, 62, 102, 142, 22, 63, 103, 143, 23, 64, 104, 144, 24, 52, 92, 132)(15, 65, 105, 145, 25, 61, 101, 141, 21, 57, 97, 137, 17, 60, 100, 140, 20, 55, 95, 135)(26, 67, 107, 147, 27, 68, 108, 148, 28, 69, 109, 149, 29, 75, 115, 155, 35, 66, 106, 146)(30, 74, 114, 154, 34, 73, 113, 153, 33, 71, 111, 151, 31, 72, 112, 152, 32, 70, 110, 150)(36, 77, 117, 157, 37, 78, 118, 158, 38, 79, 119, 159, 39, 80, 120, 160, 40, 76, 116, 156)
	L = (1, 83)(2, 89)(3, 92)(4, 85)(5, 91)(6, 81)(7, 102)(8, 93)(9, 104)(10, 82)(11, 94)(12, 106)(13, 103)(14, 108)(15, 96)(16, 88)(17, 84)(18, 99)(19, 87)(20, 98)(21, 86)(22, 115)(23, 107)(24, 109)(25, 90)(26, 116)(27, 118)(28, 120)(29, 117)(30, 100)(31, 95)(32, 101)(33, 97)(34, 105)(35, 119)(36, 112)(37, 114)(38, 111)(39, 110)(40, 113)(41, 127)(42, 131)(43, 134)(44, 121)(45, 133)(46, 122)(47, 143)(48, 123)(49, 132)(50, 128)(51, 142)(52, 147)(53, 144)(54, 149)(55, 124)(56, 139)(57, 130)(58, 125)(59, 129)(60, 126)(61, 136)(62, 146)(63, 148)(64, 155)(65, 138)(66, 157)(67, 159)(68, 156)(69, 158)(70, 135)(71, 145)(72, 137)(73, 140)(74, 141)(75, 160)(76, 150)(77, 153)(78, 152)(79, 154)(80, 151)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.90
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.89 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 2
Presentation :: [ S^2, S * A * S * B, (S * Z)^2, Z^-1 * A * B^-1 * A^-1 * B, A * B^2 * A * Z^-1, Z^5, Z^2 * B * Z^-1 * B^-1, Z^2 * A * Z * A^-1, Z^2 * A^-1 * Z^-1 * A, Z^2 * B^-1 * Z * B, Z * B * A^-3, Z * B^-1 * A^-2 * B^-1, Z * A * B^-1 * A^2, Z * A * B * A * B, Z * B^-3 * A, Z * B^2 * A^-1 * B, Z * A^-1 * B * A * B^-1 ]
Map:: polytopal non-degenerate
	R = (1, 42, 82, 122, 2, 48, 88, 128, 8, 65, 105, 145, 25, 45, 85, 125, 5, 41, 81, 121)(3, 53, 93, 133, 13, 49, 89, 129, 9, 63, 103, 143, 23, 56, 96, 136, 16, 43, 83, 123)(4, 58, 98, 138, 18, 64, 104, 144, 24, 50, 90, 130, 10, 61, 101, 141, 21, 44, 84, 124)(6, 68, 108, 148, 28, 66, 106, 146, 26, 51, 91, 131, 11, 70, 110, 150, 30, 46, 86, 126)(7, 73, 113, 153, 33, 52, 92, 132, 12, 67, 107, 147, 27, 75, 115, 155, 35, 47, 87, 127)(14, 62, 102, 142, 22, 69, 109, 149, 29, 77, 117, 157, 37, 78, 118, 158, 38, 54, 94, 134)(15, 76, 116, 156, 36, 59, 99, 139, 19, 79, 119, 159, 39, 72, 112, 152, 32, 55, 95, 135)(17, 74, 114, 154, 34, 60, 100, 140, 20, 80, 120, 160, 40, 71, 111, 151, 31, 57, 97, 137)
	L = (1, 83)(2, 89)(3, 94)(4, 99)(5, 103)(6, 81)(7, 114)(8, 96)(9, 118)(10, 119)(11, 82)(12, 97)(13, 109)(14, 90)(15, 107)(16, 117)(17, 106)(18, 112)(19, 92)(20, 108)(21, 95)(22, 84)(23, 102)(24, 116)(25, 93)(26, 85)(27, 100)(28, 88)(29, 104)(30, 105)(31, 86)(32, 113)(33, 120)(34, 110)(35, 111)(36, 87)(37, 101)(38, 98)(39, 115)(40, 91)(41, 127)(42, 132)(43, 137)(44, 121)(45, 147)(46, 152)(47, 157)(48, 155)(49, 151)(50, 122)(51, 135)(52, 149)(53, 140)(54, 148)(55, 123)(56, 160)(57, 138)(58, 128)(59, 136)(60, 124)(61, 145)(62, 131)(63, 154)(64, 125)(65, 153)(66, 159)(67, 158)(68, 156)(69, 126)(70, 139)(71, 141)(72, 143)(73, 134)(74, 130)(75, 142)(76, 129)(77, 146)(78, 150)(79, 133)(80, 144)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.91
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.90 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 28>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, A^-2 * B^-1 * A^-1 * B^-2, A^-3 * B^-1 * A * B^-1, B * A^-1 * B^-3 * A^-1, B * A * B^-1 * A^-1 * B^-1 * A^-1, A^-1 * B * A^-1 * B * A^-4, (Z^-1 * A^-1 * B^-1)^5 ]
Map:: non-degenerate
	R = (1, 41, 81, 121)(2, 42, 82, 122)(3, 43, 83, 123)(4, 44, 84, 124)(5, 45, 85, 125)(6, 46, 86, 126)(7, 47, 87, 127)(8, 48, 88, 128)(9, 49, 89, 129)(10, 50, 90, 130)(11, 51, 91, 131)(12, 52, 92, 132)(13, 53, 93, 133)(14, 54, 94, 134)(15, 55, 95, 135)(16, 56, 96, 136)(17, 57, 97, 137)(18, 58, 98, 138)(19, 59, 99, 139)(20, 60, 100, 140)(21, 61, 101, 141)(22, 62, 102, 142)(23, 63, 103, 143)(24, 64, 104, 144)(25, 65, 105, 145)(26, 66, 106, 146)(27, 67, 107, 147)(28, 68, 108, 148)(29, 69, 109, 149)(30, 70, 110, 150)(31, 71, 111, 151)(32, 72, 112, 152)(33, 73, 113, 153)(34, 74, 114, 154)(35, 75, 115, 155)(36, 76, 116, 156)(37, 77, 117, 157)(38, 78, 118, 158)(39, 79, 119, 159)(40, 80, 120, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 104)(9, 105)(10, 103)(11, 83)(12, 107)(13, 84)(14, 99)(15, 113)(16, 85)(17, 100)(18, 114)(19, 116)(20, 117)(21, 97)(22, 94)(23, 87)(24, 120)(25, 88)(26, 115)(27, 96)(28, 92)(29, 90)(30, 93)(31, 91)(32, 119)(33, 118)(34, 110)(35, 112)(36, 106)(37, 109)(38, 108)(39, 102)(40, 111)(41, 125)(42, 128)(43, 121)(44, 134)(45, 137)(46, 140)(47, 122)(48, 146)(49, 141)(50, 123)(51, 142)(52, 124)(53, 143)(54, 145)(55, 138)(56, 139)(57, 144)(58, 155)(59, 126)(60, 158)(61, 156)(62, 127)(63, 136)(64, 154)(65, 135)(66, 157)(67, 129)(68, 130)(69, 159)(70, 131)(71, 132)(72, 133)(73, 160)(74, 148)(75, 151)(76, 153)(77, 150)(78, 152)(79, 147)(80, 149)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.88
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.91 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C5 : C8 (small group id <40, 3>)
Aut   = (C5 : C8) : C2 (small group id <80, 29>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, B^2 * A * B * A^-2, B^-1 * A^-1 * B^2 * A^-2, B^-1 * A^-3 * B^-1 * A, B * A^-1 * B^-3 * A^-1, (Z^-1 * B * A^2 * B)^5 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121)(2, 42, 82, 122)(3, 43, 83, 123)(4, 44, 84, 124)(5, 45, 85, 125)(6, 46, 86, 126)(7, 47, 87, 127)(8, 48, 88, 128)(9, 49, 89, 129)(10, 50, 90, 130)(11, 51, 91, 131)(12, 52, 92, 132)(13, 53, 93, 133)(14, 54, 94, 134)(15, 55, 95, 135)(16, 56, 96, 136)(17, 57, 97, 137)(18, 58, 98, 138)(19, 59, 99, 139)(20, 60, 100, 140)(21, 61, 101, 141)(22, 62, 102, 142)(23, 63, 103, 143)(24, 64, 104, 144)(25, 65, 105, 145)(26, 66, 106, 146)(27, 67, 107, 147)(28, 68, 108, 148)(29, 69, 109, 149)(30, 70, 110, 150)(31, 71, 111, 151)(32, 72, 112, 152)(33, 73, 113, 153)(34, 74, 114, 154)(35, 75, 115, 155)(36, 76, 116, 156)(37, 77, 117, 157)(38, 78, 118, 158)(39, 79, 119, 159)(40, 80, 120, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 95)(6, 98)(7, 101)(8, 104)(9, 105)(10, 100)(11, 83)(12, 112)(13, 84)(14, 99)(15, 107)(16, 85)(17, 103)(18, 114)(19, 116)(20, 118)(21, 90)(22, 115)(23, 87)(24, 119)(25, 88)(26, 94)(27, 117)(28, 97)(29, 92)(30, 93)(31, 91)(32, 96)(33, 120)(34, 110)(35, 113)(36, 102)(37, 109)(38, 108)(39, 111)(40, 106)(41, 125)(42, 128)(43, 121)(44, 134)(45, 137)(46, 140)(47, 122)(48, 146)(49, 148)(50, 123)(51, 142)(52, 124)(53, 143)(54, 151)(55, 138)(56, 153)(57, 144)(58, 155)(59, 126)(60, 136)(61, 160)(62, 127)(63, 157)(64, 154)(65, 132)(66, 158)(67, 129)(68, 156)(69, 130)(70, 131)(71, 135)(72, 159)(73, 133)(74, 149)(75, 145)(76, 152)(77, 139)(78, 150)(79, 141)(80, 147)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.89
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.92 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ S^2, S * A * S * B, A^4, (S * Z)^2, (B^-1 * A)^2, B^4, Z * A^-1 * B^2 * A^-1, Z^5, Z^-1 * B * A^-2 * B, Z^2 * A * Z * A^-1, Z^2 * B^-1 * Z * B, Z * B * Z^-1 * B^-1 * Z, Z^2 * A^-1 * Z^-1 * A, Z * A * B * A * B ]
Map:: polytopal non-degenerate
	R = (1, 42, 82, 122, 2, 48, 88, 128, 8, 64, 104, 144, 24, 45, 85, 125, 5, 41, 81, 121)(3, 53, 93, 133, 13, 49, 89, 129, 9, 62, 102, 142, 22, 56, 96, 136, 16, 43, 83, 123)(4, 58, 98, 138, 18, 63, 103, 143, 23, 50, 90, 130, 10, 61, 101, 141, 21, 44, 84, 124)(6, 67, 107, 147, 27, 65, 105, 145, 25, 51, 91, 131, 11, 69, 109, 149, 29, 46, 86, 126)(7, 71, 111, 151, 31, 52, 92, 132, 12, 66, 106, 146, 26, 72, 112, 152, 32, 47, 87, 127)(14, 79, 119, 159, 39, 77, 117, 157, 37, 60, 100, 140, 20, 74, 114, 154, 34, 54, 94, 134)(15, 73, 113, 153, 33, 59, 99, 139, 19, 76, 116, 156, 36, 70, 110, 150, 30, 55, 95, 135)(17, 68, 108, 148, 28, 78, 118, 158, 38, 80, 120, 160, 40, 75, 115, 155, 35, 57, 97, 137)
	L = (1, 83)(2, 89)(3, 94)(4, 99)(5, 102)(6, 81)(7, 108)(8, 96)(9, 114)(10, 116)(11, 82)(12, 97)(13, 117)(14, 86)(15, 106)(16, 100)(17, 84)(18, 110)(19, 92)(20, 107)(21, 95)(22, 119)(23, 113)(24, 93)(25, 85)(26, 118)(27, 88)(28, 103)(29, 104)(30, 111)(31, 120)(32, 115)(33, 87)(34, 91)(35, 90)(36, 112)(37, 109)(38, 101)(39, 105)(40, 98)(41, 127)(42, 132)(43, 137)(44, 121)(45, 146)(46, 150)(47, 140)(48, 152)(49, 155)(50, 122)(51, 135)(52, 157)(53, 158)(54, 141)(55, 123)(56, 160)(57, 131)(58, 128)(59, 136)(60, 124)(61, 144)(62, 148)(63, 125)(64, 151)(65, 156)(66, 154)(67, 153)(68, 126)(69, 139)(70, 142)(71, 134)(72, 159)(73, 129)(74, 143)(75, 147)(76, 133)(77, 130)(78, 145)(79, 138)(80, 149)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.93
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.93 :: Family: { 4P } :: Oriented family(ies): { E6 }
Signature :: (1; {5})
Quotient :: toric
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ Z, S^2, S * B * S * A, (S * Z)^2, B^4, A^4, (B * A^-1)^2, B^-2 * A^2 * B * A * B * A, Z^-1 * B * A^-2 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B * Z^-1 * A * B^-1 * A^-1 * B ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121)(2, 42, 82, 122)(3, 43, 83, 123)(4, 44, 84, 124)(5, 45, 85, 125)(6, 46, 86, 126)(7, 47, 87, 127)(8, 48, 88, 128)(9, 49, 89, 129)(10, 50, 90, 130)(11, 51, 91, 131)(12, 52, 92, 132)(13, 53, 93, 133)(14, 54, 94, 134)(15, 55, 95, 135)(16, 56, 96, 136)(17, 57, 97, 137)(18, 58, 98, 138)(19, 59, 99, 139)(20, 60, 100, 140)(21, 61, 101, 141)(22, 62, 102, 142)(23, 63, 103, 143)(24, 64, 104, 144)(25, 65, 105, 145)(26, 66, 106, 146)(27, 67, 107, 147)(28, 68, 108, 148)(29, 69, 109, 149)(30, 70, 110, 150)(31, 71, 111, 151)(32, 72, 112, 152)(33, 73, 113, 153)(34, 74, 114, 154)(35, 75, 115, 155)(36, 76, 116, 156)(37, 77, 117, 157)(38, 78, 118, 158)(39, 79, 119, 159)(40, 80, 120, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 84)(7, 96)(8, 83)(9, 98)(10, 101)(11, 102)(12, 94)(13, 85)(14, 106)(15, 87)(16, 108)(17, 111)(18, 88)(19, 107)(20, 90)(21, 113)(22, 93)(23, 115)(24, 92)(25, 110)(26, 104)(27, 116)(28, 95)(29, 103)(30, 97)(31, 105)(32, 99)(33, 100)(34, 118)(35, 117)(36, 112)(37, 109)(38, 120)(39, 114)(40, 119)(41, 125)(42, 128)(43, 121)(44, 132)(45, 130)(46, 135)(47, 122)(48, 137)(49, 140)(50, 123)(51, 124)(52, 143)(53, 145)(54, 126)(55, 147)(56, 150)(57, 127)(58, 152)(59, 129)(60, 146)(61, 133)(62, 149)(63, 131)(64, 153)(65, 154)(66, 139)(67, 134)(68, 157)(69, 136)(70, 142)(71, 138)(72, 158)(73, 159)(74, 141)(75, 144)(76, 148)(77, 160)(78, 151)(79, 155)(80, 156)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.92
Transitivity :: VT+
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.94 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y1^-1 * Y2^2 * Y1^-3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 14, 32, 9, 27, 17, 35, 12, 30, 5, 23, 8, 26, 16, 34, 10, 28, 3, 21, 7, 25, 15, 33, 13, 31, 18, 36, 11, 29, 4, 22)(37, 55, 39, 57, 45, 63, 54, 72, 44, 62, 38, 56, 43, 61, 53, 71, 47, 65, 52, 70, 42, 60, 51, 69, 48, 66, 40, 58, 46, 64, 50, 68, 49, 67, 41, 59)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.95 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1^3 * Y2^-1, (Y3^-1 * Y1^-1)^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 19, 2, 20, 6, 24, 14, 32, 13, 31, 18, 36, 10, 28, 3, 21, 7, 25, 15, 33, 12, 30, 5, 23, 8, 26, 16, 34, 9, 27, 17, 35, 11, 29, 4, 22)(37, 55, 39, 57, 45, 63, 50, 68, 48, 66, 40, 58, 46, 64, 52, 70, 42, 60, 51, 69, 47, 65, 54, 72, 44, 62, 38, 56, 43, 61, 53, 71, 49, 67, 41, 59)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.96 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y2 * Y1 * Y3, Y2 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y2^-2, (Y2^-1 * Y1^2)^2, Y1^-3 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 16, 34, 11, 29, 13, 31, 4, 22, 6, 24, 9, 27, 17, 35, 12, 30, 3, 21, 7, 25, 10, 28, 15, 33, 18, 36, 14, 32, 5, 23)(37, 55, 39, 57, 47, 65, 54, 72, 45, 63, 38, 56, 43, 61, 49, 67, 50, 68, 53, 71, 44, 62, 46, 64, 40, 58, 41, 59, 48, 66, 52, 70, 51, 69, 42, 60)
	L = (1, 40)(2, 42)(3, 41)(4, 43)(5, 49)(6, 46)(7, 37)(8, 45)(9, 51)(10, 38)(11, 48)(12, 50)(13, 39)(14, 47)(15, 44)(16, 53)(17, 54)(18, 52)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E17.97
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.97 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 18, 18, 18})
Quotient :: dipole
Aut^+ = C18 (small group id <18, 2>)
Aut   = D36 (small group id <36, 4>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3^-1 * Y2, Y1 * Y2 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^5 * Y1^-1, (Y2 * Y1^-2)^2, Y1^6 * Y3 ]
Map:: non-degenerate
	R = (1, 19, 2, 20, 8, 26, 16, 34, 11, 29, 12, 30, 7, 25, 6, 24, 10, 28, 17, 35, 13, 31, 3, 21, 4, 22, 9, 27, 15, 33, 18, 36, 14, 32, 5, 23)(37, 55, 39, 57, 47, 65, 54, 72, 46, 64, 38, 56, 40, 58, 48, 66, 50, 68, 53, 71, 44, 62, 45, 63, 43, 61, 41, 59, 49, 67, 52, 70, 51, 69, 42, 60)
	L = (1, 40)(2, 45)(3, 48)(4, 43)(5, 39)(6, 38)(7, 37)(8, 51)(9, 42)(10, 44)(11, 50)(12, 41)(13, 47)(14, 49)(15, 46)(16, 54)(17, 52)(18, 53)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E17.96
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.98 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y1)^2, (Y2, Y1), (R * Y3)^2, Y2^-1 * Y1^-2 * Y2^-3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^-1 * Y1^-2 * Y2^3 * Y1^-2, (Y3^-1 * Y1^-1)^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 21, 2, 22, 6, 26, 14, 34, 9, 29, 17, 37, 13, 33, 18, 38, 11, 31, 4, 24)(3, 23, 7, 27, 15, 35, 20, 40, 19, 39, 12, 32, 5, 25, 8, 28, 16, 36, 10, 30)(41, 61, 43, 63, 49, 69, 59, 79, 51, 71, 56, 76, 46, 66, 55, 75, 53, 73, 45, 65)(42, 62, 47, 67, 57, 77, 52, 72, 44, 64, 50, 70, 54, 74, 60, 80, 58, 78, 48, 68)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.99 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2 * Y1^-1 * Y2^2, Y2^-1 * Y1^-3, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y1, Y2), (R * Y1)^2, Y3 * Y2^2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 6, 26, 10, 30, 16, 36, 12, 32, 3, 23, 8, 28, 5, 25)(4, 24, 9, 29, 15, 35, 14, 34, 18, 38, 20, 40, 19, 39, 11, 31, 17, 37, 13, 33)(41, 61, 43, 63, 50, 70, 42, 62, 48, 68, 56, 76, 47, 67, 45, 65, 52, 72, 46, 66)(44, 64, 51, 71, 58, 78, 49, 69, 57, 77, 60, 80, 55, 75, 53, 73, 59, 79, 54, 74)
	L = (1, 44)(2, 49)(3, 51)(4, 41)(5, 53)(6, 54)(7, 55)(8, 57)(9, 42)(10, 58)(11, 43)(12, 59)(13, 45)(14, 46)(15, 47)(16, 60)(17, 48)(18, 50)(19, 52)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (Y1, Y2^-1), Y1^-1 * Y2 * Y3 * Y2^2, Y2^-1 * Y1 * Y3 * Y2^-2, Y1^-3 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 11, 31, 20, 40, 18, 38, 12, 32, 16, 36, 5, 25)(3, 23, 8, 28, 14, 34, 4, 24, 9, 29, 17, 37, 6, 26, 10, 30, 19, 39, 13, 33)(41, 61, 43, 63, 51, 71, 49, 69, 56, 76, 59, 79, 47, 67, 54, 74, 58, 78, 46, 66)(42, 62, 48, 68, 60, 80, 57, 77, 45, 65, 53, 73, 55, 75, 44, 64, 52, 72, 50, 70)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 54)(6, 55)(7, 57)(8, 56)(9, 42)(10, 51)(11, 50)(12, 43)(13, 58)(14, 45)(15, 46)(16, 48)(17, 47)(18, 53)(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) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y2^2 * Y3^2, (Y2, Y1^-1), (Y2, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2^-4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y3^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 10, 30, 11, 31, 19, 39, 15, 35, 16, 36, 4, 24, 5, 25)(3, 23, 8, 28, 14, 34, 20, 40, 17, 37, 18, 38, 6, 26, 9, 29, 12, 32, 13, 33)(41, 61, 43, 63, 51, 71, 57, 77, 44, 64, 52, 72, 47, 67, 54, 74, 55, 75, 46, 66)(42, 62, 48, 68, 59, 79, 58, 78, 45, 65, 53, 73, 50, 70, 60, 80, 56, 76, 49, 69)
	L = (1, 44)(2, 45)(3, 52)(4, 55)(5, 56)(6, 57)(7, 41)(8, 53)(9, 58)(10, 42)(11, 47)(12, 46)(13, 49)(14, 43)(15, 51)(16, 59)(17, 54)(18, 60)(19, 50)(20, 48)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.102
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.102 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 10, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 (small group id <20, 5>)
Aut   = C2 x C2 x D10 (small group id <40, 13>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y2^-2 * Y3, (Y1^-1 * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^5, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 12, 32, 18, 38, 16, 36, 14, 34, 7, 27, 5, 25)(3, 23, 8, 28, 11, 31, 17, 37, 19, 39, 20, 40, 15, 35, 13, 33, 6, 26, 10, 30)(41, 61, 43, 63, 44, 64, 51, 71, 52, 72, 59, 79, 56, 76, 55, 75, 47, 67, 46, 66)(42, 62, 48, 68, 49, 69, 57, 77, 58, 78, 60, 80, 54, 74, 53, 73, 45, 65, 50, 70)
	L = (1, 44)(2, 49)(3, 51)(4, 52)(5, 42)(6, 43)(7, 41)(8, 57)(9, 58)(10, 48)(11, 59)(12, 56)(13, 50)(14, 45)(15, 46)(16, 47)(17, 60)(18, 54)(19, 55)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.101
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.103 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1, (R * Y1)^2, (R * Y3)^2, (Y3, Y2^-1), (Y3, Y1^-1), Y3^4, (R * Y2)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3^2 * Y1^2 * Y2^-1, Y1^5, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 18, 38, 5, 25)(3, 23, 6, 26, 10, 30, 15, 35, 13, 33)(4, 24, 9, 29, 14, 34, 20, 40, 16, 36)(7, 27, 11, 31, 12, 32, 17, 37, 19, 39)(41, 61, 43, 63, 45, 65, 53, 73, 58, 78, 55, 75, 48, 68, 50, 70, 42, 62, 46, 66)(44, 64, 52, 72, 56, 76, 51, 71, 60, 80, 47, 67, 54, 74, 59, 79, 49, 69, 57, 77)
	L = (1, 44)(2, 49)(3, 52)(4, 55)(5, 56)(6, 57)(7, 41)(8, 54)(9, 53)(10, 59)(11, 42)(12, 48)(13, 51)(14, 43)(15, 47)(16, 50)(17, 58)(18, 60)(19, 45)(20, 46)(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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.134
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.104 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), (Y3, Y2), Y3^-1 * Y1^2 * Y2 * Y3^-1, Y1 * Y3 * Y2 * Y3 * Y1, Y1^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 17, 37, 5, 25)(3, 23, 9, 29, 14, 34, 18, 38, 6, 26)(4, 24, 10, 30, 20, 40, 13, 33, 15, 35)(7, 27, 11, 31, 16, 36, 12, 32, 19, 39)(41, 61, 43, 63, 42, 62, 49, 69, 48, 68, 54, 74, 57, 77, 58, 78, 45, 65, 46, 66)(44, 64, 52, 72, 50, 70, 59, 79, 60, 80, 47, 67, 53, 73, 51, 71, 55, 75, 56, 76)
	L = (1, 44)(2, 50)(3, 52)(4, 54)(5, 55)(6, 56)(7, 41)(8, 60)(9, 59)(10, 58)(11, 42)(12, 57)(13, 43)(14, 47)(15, 49)(16, 48)(17, 53)(18, 51)(19, 45)(20, 46)(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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.135
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.105 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y3^-2 * Y2^-1, (Y3, Y1^-1), Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^2, Y3^4, Y1^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^3 * Y2^-2, Y2^10, (Y1^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 13, 33, 5, 25)(3, 23, 9, 29, 6, 26, 11, 31, 15, 35)(4, 24, 10, 30, 17, 37, 19, 39, 16, 36)(7, 27, 12, 32, 18, 38, 20, 40, 14, 34)(41, 61, 43, 63, 53, 73, 51, 71, 42, 62, 49, 69, 45, 65, 55, 75, 48, 68, 46, 66)(44, 64, 54, 74, 59, 79, 58, 78, 50, 70, 47, 67, 56, 76, 60, 80, 57, 77, 52, 72)
	L = (1, 44)(2, 50)(3, 54)(4, 49)(5, 56)(6, 52)(7, 41)(8, 57)(9, 47)(10, 46)(11, 58)(12, 42)(13, 59)(14, 45)(15, 60)(16, 43)(17, 51)(18, 48)(19, 55)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.136
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.106 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1 * Y3, (Y2 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, Y2^2 * Y1^-2, (R * Y1)^2, (Y3^-1, Y1), Y3^-1 * Y1^2 * Y3^-1 * Y2^-1, Y2^-4 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 15, 35, 5, 25)(3, 23, 9, 29, 16, 36, 6, 26, 11, 31)(4, 24, 10, 30, 19, 39, 18, 38, 14, 34)(7, 27, 12, 32, 13, 33, 20, 40, 17, 37)(41, 61, 43, 63, 48, 68, 56, 76, 45, 65, 51, 71, 42, 62, 49, 69, 55, 75, 46, 66)(44, 64, 53, 73, 59, 79, 57, 77, 54, 74, 52, 72, 50, 70, 60, 80, 58, 78, 47, 67)
	L = (1, 44)(2, 50)(3, 53)(4, 43)(5, 54)(6, 47)(7, 41)(8, 59)(9, 60)(10, 49)(11, 52)(12, 42)(13, 48)(14, 51)(15, 58)(16, 57)(17, 45)(18, 46)(19, 56)(20, 55)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.137
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.107 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y2^-2 * Y1^-2, (Y2^-1, Y1^-1), (Y3^-1, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y1, Y1^-2 * Y2^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 13, 33, 5, 25)(3, 23, 9, 29, 6, 26, 11, 31, 15, 35)(4, 24, 10, 30, 18, 38, 20, 40, 16, 36)(7, 27, 12, 32, 19, 39, 14, 34, 17, 37)(41, 61, 43, 63, 53, 73, 51, 71, 42, 62, 49, 69, 45, 65, 55, 75, 48, 68, 46, 66)(44, 64, 54, 74, 60, 80, 52, 72, 50, 70, 57, 77, 56, 76, 59, 79, 58, 78, 47, 67)
	L = (1, 44)(2, 50)(3, 54)(4, 43)(5, 56)(6, 47)(7, 41)(8, 58)(9, 57)(10, 49)(11, 52)(12, 42)(13, 60)(14, 53)(15, 59)(16, 55)(17, 45)(18, 46)(19, 48)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.138
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^-1 * Y2^2, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2, Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 11, 31, 4, 24, 9, 29, 17, 37, 13, 33, 5, 25)(3, 23, 8, 28, 16, 36, 19, 39, 12, 32, 10, 30, 18, 38, 20, 40, 14, 34, 6, 26)(41, 61, 43, 63, 42, 62, 48, 68, 47, 67, 56, 76, 55, 75, 59, 79, 51, 71, 52, 72, 44, 64, 50, 70, 49, 69, 58, 78, 57, 77, 60, 80, 53, 73, 54, 74, 45, 65, 46, 66)
	L = (1, 44)(2, 49)(3, 50)(4, 41)(5, 51)(6, 52)(7, 57)(8, 58)(9, 42)(10, 43)(11, 45)(12, 46)(13, 55)(14, 59)(15, 53)(16, 60)(17, 47)(18, 48)(19, 54)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.123
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 12, 32, 4, 24, 8, 28, 16, 36, 14, 34, 5, 25)(3, 23, 6, 26, 9, 29, 17, 37, 19, 39, 10, 30, 13, 33, 18, 38, 20, 40, 11, 31)(41, 61, 43, 63, 45, 65, 51, 71, 54, 74, 60, 80, 56, 76, 58, 78, 48, 68, 53, 73, 44, 64, 50, 70, 52, 72, 59, 79, 55, 75, 57, 77, 47, 67, 49, 69, 42, 62, 46, 66)
	L = (1, 44)(2, 48)(3, 50)(4, 41)(5, 52)(6, 53)(7, 56)(8, 42)(9, 58)(10, 43)(11, 59)(12, 45)(13, 46)(14, 55)(15, 54)(16, 47)(17, 60)(18, 49)(19, 51)(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) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.124
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y1, Y2^-1), Y2^-1 * Y1^2 * Y3 * Y2^-1, Y2 * Y1^2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 18, 38, 14, 34, 4, 24, 9, 29, 11, 31, 16, 36, 5, 25)(3, 23, 8, 28, 17, 37, 6, 26, 10, 30, 12, 32, 19, 39, 20, 40, 15, 35, 13, 33)(41, 61, 43, 63, 51, 71, 60, 80, 54, 74, 50, 70, 42, 62, 48, 68, 56, 76, 55, 75, 44, 64, 52, 72, 47, 67, 57, 77, 45, 65, 53, 73, 49, 69, 59, 79, 58, 78, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 54)(6, 55)(7, 51)(8, 59)(9, 42)(10, 53)(11, 47)(12, 43)(13, 50)(14, 45)(15, 46)(16, 58)(17, 60)(18, 56)(19, 48)(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) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.121
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (Y1, Y2^-1), Y2 * Y1^2 * Y2 * Y3, Y2^-1 * Y1^2 * Y2^-1 * Y1, Y3 * Y1^-5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 11, 31, 14, 34, 4, 24, 9, 29, 18, 38, 16, 36, 5, 25)(3, 23, 8, 28, 15, 35, 19, 39, 20, 40, 12, 32, 17, 37, 6, 26, 10, 30, 13, 33)(41, 61, 43, 63, 51, 71, 59, 79, 49, 69, 57, 77, 45, 65, 53, 73, 47, 67, 55, 75, 44, 64, 52, 72, 56, 76, 50, 70, 42, 62, 48, 68, 54, 74, 60, 80, 58, 78, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 54)(6, 55)(7, 58)(8, 57)(9, 42)(10, 59)(11, 56)(12, 43)(13, 60)(14, 45)(15, 46)(16, 51)(17, 48)(18, 47)(19, 50)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.122
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1^-1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 16, 36, 12, 32, 8, 28, 4, 24)(3, 23, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 17, 37, 13, 33, 9, 29, 5, 25)(41, 61, 43, 63, 42, 62, 47, 67, 46, 66, 51, 71, 50, 70, 55, 75, 54, 74, 59, 79, 58, 78, 60, 80, 56, 76, 57, 77, 52, 72, 53, 73, 48, 68, 49, 69, 44, 64, 45, 65)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 43)(6, 50)(7, 51)(8, 44)(9, 45)(10, 54)(11, 55)(12, 48)(13, 49)(14, 58)(15, 59)(16, 52)(17, 53)(18, 56)(19, 60)(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) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.128
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1 * Y3^-3, Y3^3 * Y1^-1, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^2 * Y3 * Y1, Y2 * Y1^2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 7, 27, 12, 32, 19, 39, 15, 35, 4, 24, 10, 30, 5, 25)(3, 23, 9, 29, 16, 36, 6, 26, 11, 31, 18, 38, 17, 37, 13, 33, 20, 40, 14, 34)(41, 61, 43, 63, 44, 64, 53, 73, 52, 72, 51, 71, 42, 62, 49, 69, 50, 70, 60, 80, 59, 79, 58, 78, 48, 68, 56, 76, 45, 65, 54, 74, 55, 75, 57, 77, 47, 67, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 52)(5, 55)(6, 43)(7, 41)(8, 45)(9, 60)(10, 59)(11, 49)(12, 42)(13, 51)(14, 57)(15, 47)(16, 54)(17, 46)(18, 56)(19, 48)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.132
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.114 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1 * Y3^3, Y3^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y2)^2, Y3 * Y1^-3, Y1^-1 * Y2 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 4, 24, 10, 30, 19, 39, 15, 35, 7, 27, 12, 32, 5, 25)(3, 23, 9, 29, 18, 38, 13, 33, 17, 37, 20, 40, 16, 36, 6, 26, 11, 31, 14, 34)(41, 61, 43, 63, 44, 64, 53, 73, 55, 75, 56, 76, 45, 65, 54, 74, 48, 68, 58, 78, 59, 79, 60, 80, 52, 72, 51, 71, 42, 62, 49, 69, 50, 70, 57, 77, 47, 67, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 48)(6, 43)(7, 41)(8, 59)(9, 57)(10, 47)(11, 49)(12, 42)(13, 56)(14, 58)(15, 45)(16, 54)(17, 46)(18, 60)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.126
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.115 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, Y1 * Y2^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^10, (Y3^-1 * Y1^-1)^5, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 10, 30, 14, 34, 18, 38, 17, 37, 13, 33, 9, 29, 4, 24)(3, 23, 5, 25, 7, 27, 11, 31, 15, 35, 19, 39, 20, 40, 16, 36, 12, 32, 8, 28)(41, 61, 43, 63, 44, 64, 48, 68, 49, 69, 52, 72, 53, 73, 56, 76, 57, 77, 60, 80, 58, 78, 59, 79, 54, 74, 55, 75, 50, 70, 51, 71, 46, 66, 47, 67, 42, 62, 45, 65)
	L = (1, 42)(2, 46)(3, 45)(4, 41)(5, 47)(6, 50)(7, 51)(8, 43)(9, 44)(10, 54)(11, 55)(12, 48)(13, 49)(14, 58)(15, 59)(16, 52)(17, 53)(18, 57)(19, 60)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.130
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y3 * Y1^-3, (R * Y1)^2, (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3^-3, Y2 * Y1 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 4, 24, 10, 30, 18, 38, 15, 35, 7, 27, 12, 32, 5, 25)(3, 23, 9, 29, 17, 37, 6, 26, 11, 31, 19, 39, 16, 36, 14, 34, 20, 40, 13, 33)(41, 61, 43, 63, 47, 67, 54, 74, 50, 70, 51, 71, 42, 62, 49, 69, 52, 72, 60, 80, 58, 78, 59, 79, 48, 68, 57, 77, 45, 65, 53, 73, 55, 75, 56, 76, 44, 64, 46, 66)
	L = (1, 44)(2, 50)(3, 46)(4, 55)(5, 48)(6, 56)(7, 41)(8, 58)(9, 51)(10, 47)(11, 54)(12, 42)(13, 57)(14, 43)(15, 45)(16, 53)(17, 59)(18, 52)(19, 60)(20, 49)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.127
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3^-1 * Y1 * Y3^-2, Y3^-1 * Y1^-3, (Y3^-1, Y1), (R * Y2)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1^-2 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 7, 27, 12, 32, 19, 39, 15, 35, 4, 24, 10, 30, 5, 25)(3, 23, 9, 29, 18, 38, 14, 34, 16, 36, 20, 40, 17, 37, 6, 26, 11, 31, 13, 33)(41, 61, 43, 63, 47, 67, 54, 74, 55, 75, 57, 77, 45, 65, 53, 73, 48, 68, 58, 78, 59, 79, 60, 80, 50, 70, 51, 71, 42, 62, 49, 69, 52, 72, 56, 76, 44, 64, 46, 66)
	L = (1, 44)(2, 50)(3, 46)(4, 52)(5, 55)(6, 56)(7, 41)(8, 45)(9, 51)(10, 59)(11, 60)(12, 42)(13, 57)(14, 43)(15, 47)(16, 49)(17, 54)(18, 53)(19, 48)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.131
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.118 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1 * Y3 * Y1^2, Y3^-3 * Y1, (Y3^-1, Y2), (R * Y3)^2, Y1 * Y3 * Y1^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y1^-1 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 7, 27, 11, 31, 18, 38, 14, 34, 4, 24, 10, 30, 5, 25)(3, 23, 9, 29, 17, 37, 13, 33, 19, 39, 20, 40, 15, 35, 12, 32, 16, 36, 6, 26)(41, 61, 43, 63, 42, 62, 49, 69, 48, 68, 57, 77, 47, 67, 53, 73, 51, 71, 59, 79, 58, 78, 60, 80, 54, 74, 55, 75, 44, 64, 52, 72, 50, 70, 56, 76, 45, 65, 46, 66)
	L = (1, 44)(2, 50)(3, 52)(4, 51)(5, 54)(6, 55)(7, 41)(8, 45)(9, 56)(10, 58)(11, 42)(12, 59)(13, 43)(14, 47)(15, 53)(16, 60)(17, 46)(18, 48)(19, 49)(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) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.133
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.119 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y1^-1 * Y3 * Y1^-2, Y3^-3 * Y1^-1, (Y1^-1, Y3^-1), (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 4, 24, 9, 29, 18, 38, 15, 35, 7, 27, 11, 31, 5, 25)(3, 23, 6, 26, 10, 30, 12, 32, 16, 36, 19, 39, 20, 40, 14, 34, 17, 37, 13, 33)(41, 61, 43, 63, 45, 65, 53, 73, 51, 71, 57, 77, 47, 67, 54, 74, 55, 75, 60, 80, 58, 78, 59, 79, 49, 69, 56, 76, 44, 64, 52, 72, 48, 68, 50, 70, 42, 62, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 55)(5, 48)(6, 56)(7, 41)(8, 58)(9, 47)(10, 59)(11, 42)(12, 60)(13, 50)(14, 43)(15, 45)(16, 54)(17, 46)(18, 51)(19, 57)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.125
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.120 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1^-2 * Y2, Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^6 * Y1, Y3^-1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 9, 29, 15, 35, 20, 40, 18, 38, 13, 33, 11, 31, 4, 24)(3, 23, 7, 27, 14, 34, 16, 36, 19, 39, 17, 37, 12, 32, 5, 25, 8, 28, 10, 30)(41, 61, 43, 63, 49, 69, 56, 76, 58, 78, 52, 72, 44, 64, 50, 70, 46, 66, 54, 74, 60, 80, 57, 77, 51, 71, 48, 68, 42, 62, 47, 67, 55, 75, 59, 79, 53, 73, 45, 65)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 49)(7, 54)(8, 50)(9, 55)(10, 43)(11, 44)(12, 45)(13, 51)(14, 56)(15, 60)(16, 59)(17, 52)(18, 53)(19, 57)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ), ( 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40, 10, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.129
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.121 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2 * Y1^4, Y1^2 * Y3 * Y2^-2, Y2^5, Y2^-1 * Y3 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 17, 37, 6, 26, 10, 30, 12, 32, 20, 40, 18, 38, 14, 34, 4, 24, 9, 29, 11, 31, 19, 39, 15, 35, 13, 33, 3, 23, 8, 28, 16, 36, 5, 25)(41, 61, 43, 63, 51, 71, 58, 78, 46, 66)(42, 62, 48, 68, 59, 79, 54, 74, 50, 70)(44, 64, 52, 72, 47, 67, 56, 76, 55, 75)(45, 65, 53, 73, 49, 69, 60, 80, 57, 77)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 54)(6, 55)(7, 51)(8, 60)(9, 42)(10, 53)(11, 47)(12, 43)(13, 50)(14, 45)(15, 46)(16, 58)(17, 59)(18, 56)(19, 57)(20, 48)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.110
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y1, Y2^-1), Y2 * Y1^2 * Y2 * Y3, Y2^-1 * Y1^4, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 13, 33, 3, 23, 8, 28, 15, 35, 19, 39, 11, 31, 14, 34, 4, 24, 9, 29, 18, 38, 20, 40, 12, 32, 17, 37, 6, 26, 10, 30, 16, 36, 5, 25)(41, 61, 43, 63, 51, 71, 58, 78, 46, 66)(42, 62, 48, 68, 54, 74, 60, 80, 50, 70)(44, 64, 52, 72, 56, 76, 47, 67, 55, 75)(45, 65, 53, 73, 59, 79, 49, 69, 57, 77)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 54)(6, 55)(7, 58)(8, 57)(9, 42)(10, 59)(11, 56)(12, 43)(13, 60)(14, 45)(15, 46)(16, 51)(17, 48)(18, 47)(19, 50)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.111
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y1^2, Y2 * Y3 * Y1^-2, Y3 * Y1^-1 * Y2 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^5, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^2 * Y1 * Y3 * Y2^2 * Y1, Y1^14 * Y2^-2 * Y3, Y1^-28 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 11, 31, 17, 37, 19, 39, 13, 33, 6, 26, 10, 30, 4, 24, 9, 29, 3, 23, 8, 28, 16, 36, 20, 40, 14, 34, 18, 38, 12, 32, 5, 25)(41, 61, 43, 63, 51, 71, 54, 74, 46, 66)(42, 62, 48, 68, 57, 77, 58, 78, 50, 70)(44, 64, 47, 67, 56, 76, 59, 79, 52, 72)(45, 65, 49, 69, 55, 75, 60, 80, 53, 73)
	L = (1, 44)(2, 49)(3, 47)(4, 41)(5, 50)(6, 52)(7, 43)(8, 55)(9, 42)(10, 45)(11, 56)(12, 46)(13, 58)(14, 59)(15, 48)(16, 51)(17, 60)(18, 53)(19, 54)(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) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.108
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-2 * Y3 * Y2^-1, (Y2^-1, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y1)^2, Y2^5, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1 * Y3 * Y2^-2 * Y1, Y1^14 * Y2^2 * Y3, Y1^-28 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 15, 35, 14, 34, 18, 38, 19, 39, 13, 33, 3, 23, 8, 28, 4, 24, 9, 29, 6, 26, 10, 30, 16, 36, 20, 40, 11, 31, 17, 37, 12, 32, 5, 25)(41, 61, 43, 63, 51, 71, 54, 74, 46, 66)(42, 62, 48, 68, 57, 77, 58, 78, 50, 70)(44, 64, 52, 72, 59, 79, 56, 76, 47, 67)(45, 65, 53, 73, 60, 80, 55, 75, 49, 69)
	L = (1, 44)(2, 49)(3, 52)(4, 41)(5, 48)(6, 47)(7, 46)(8, 45)(9, 42)(10, 55)(11, 59)(12, 43)(13, 57)(14, 56)(15, 50)(16, 54)(17, 53)(18, 60)(19, 51)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.109
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, Y1^-2 * Y3, Y1 * Y3 * Y2 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^5, (Y3^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 6, 26, 10, 30, 14, 34, 17, 37, 15, 35, 18, 38, 20, 40, 19, 39, 11, 31, 16, 36, 13, 33, 12, 32, 3, 23, 8, 28, 7, 27, 5, 25)(41, 61, 43, 63, 51, 71, 55, 75, 46, 66)(42, 62, 48, 68, 56, 76, 58, 78, 50, 70)(44, 64, 47, 67, 53, 73, 60, 80, 54, 74)(45, 65, 52, 72, 59, 79, 57, 77, 49, 69)
	L = (1, 44)(2, 49)(3, 47)(4, 46)(5, 42)(6, 54)(7, 41)(8, 45)(9, 50)(10, 57)(11, 53)(12, 48)(13, 43)(14, 55)(15, 60)(16, 52)(17, 58)(18, 59)(19, 56)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.119
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y3, Y3 * Y1^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^5, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, (Y2^2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 10, 30, 3, 23, 8, 28, 12, 32, 17, 37, 11, 31, 16, 36, 19, 39, 20, 40, 15, 35, 18, 38, 13, 33, 14, 34, 6, 26, 9, 29, 4, 24, 5, 25)(41, 61, 43, 63, 51, 71, 55, 75, 46, 66)(42, 62, 48, 68, 56, 76, 58, 78, 49, 69)(44, 64, 47, 67, 52, 72, 59, 79, 53, 73)(45, 65, 50, 70, 57, 77, 60, 80, 54, 74)
	L = (1, 44)(2, 45)(3, 47)(4, 46)(5, 49)(6, 53)(7, 41)(8, 50)(9, 54)(10, 42)(11, 52)(12, 43)(13, 55)(14, 58)(15, 59)(16, 57)(17, 48)(18, 60)(19, 51)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.114
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2, Y1^2 * Y2^-1 * Y3, (R * Y3)^2, (Y3^-1, Y1^-1), Y2 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y2^5, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y3, Y1^-14 * Y3^-1, (Y3^-1 * Y2)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 18, 38, 17, 37, 14, 34, 4, 24, 10, 30, 3, 23, 9, 29, 19, 39, 16, 36, 6, 26, 11, 31, 7, 27, 12, 32, 13, 33, 20, 40, 15, 35, 5, 25)(41, 61, 43, 63, 53, 73, 57, 77, 46, 66)(42, 62, 49, 69, 60, 80, 54, 74, 51, 71)(44, 64, 47, 67, 48, 68, 59, 79, 55, 75)(45, 65, 50, 70, 52, 72, 58, 78, 56, 76)
	L = (1, 44)(2, 50)(3, 47)(4, 46)(5, 54)(6, 55)(7, 41)(8, 43)(9, 52)(10, 51)(11, 45)(12, 42)(13, 48)(14, 56)(15, 57)(16, 60)(17, 59)(18, 49)(19, 53)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.116
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y3 * Y2^-1 * Y3, (Y1^-1, Y2), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 10, 30, 6, 26, 9, 29, 15, 35, 18, 38, 14, 34, 17, 37, 19, 39, 20, 40, 11, 31, 16, 36, 12, 32, 13, 33, 3, 23, 8, 28, 4, 24, 5, 25)(41, 61, 43, 63, 51, 71, 54, 74, 46, 66)(42, 62, 48, 68, 56, 76, 57, 77, 49, 69)(44, 64, 52, 72, 59, 79, 55, 75, 47, 67)(45, 65, 53, 73, 60, 80, 58, 78, 50, 70)
	L = (1, 44)(2, 45)(3, 52)(4, 43)(5, 48)(6, 47)(7, 41)(8, 53)(9, 50)(10, 42)(11, 59)(12, 51)(13, 56)(14, 55)(15, 46)(16, 60)(17, 58)(18, 49)(19, 54)(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) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.112
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y2)^2, Y2^5, (Y2^2 * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 3, 23, 8, 28, 12, 32, 17, 37, 11, 31, 16, 36, 19, 39, 20, 40, 14, 34, 18, 38, 15, 35, 13, 33, 6, 26, 10, 30, 7, 27, 5, 25)(41, 61, 43, 63, 51, 71, 54, 74, 46, 66)(42, 62, 48, 68, 56, 76, 58, 78, 50, 70)(44, 64, 52, 72, 59, 79, 55, 75, 47, 67)(45, 65, 49, 69, 57, 77, 60, 80, 53, 73)
	L = (1, 44)(2, 49)(3, 52)(4, 43)(5, 42)(6, 47)(7, 41)(8, 57)(9, 48)(10, 45)(11, 59)(12, 51)(13, 50)(14, 55)(15, 46)(16, 60)(17, 56)(18, 53)(19, 54)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.120
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2, Y1^2 * Y2 * Y3, Y2 * Y3 * Y1^2, Y1 * Y2 * Y1 * Y3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1, Y3), Y2^5, (Y2 * Y1^-2)^2, Y2 * Y3 * Y1^-1 * Y2^2 * Y1^-1, (Y3^-1 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 18, 38, 13, 33, 16, 36, 4, 24, 10, 30, 6, 26, 11, 31, 19, 39, 15, 35, 3, 23, 9, 29, 7, 27, 12, 32, 17, 37, 20, 40, 14, 34, 5, 25)(41, 61, 43, 63, 53, 73, 57, 77, 46, 66)(42, 62, 49, 69, 56, 76, 60, 80, 51, 71)(44, 64, 54, 74, 59, 79, 48, 68, 47, 67)(45, 65, 55, 75, 58, 78, 52, 72, 50, 70)
	L = (1, 44)(2, 50)(3, 54)(4, 43)(5, 56)(6, 47)(7, 41)(8, 46)(9, 45)(10, 49)(11, 52)(12, 42)(13, 59)(14, 53)(15, 60)(16, 55)(17, 48)(18, 51)(19, 57)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.115
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), (Y3, Y1^-1), Y2 * Y1 * Y3^-1 * Y1, (R * Y1)^2, Y3 * Y2^-1 * Y1^-2, Y1^2 * Y3^-1 * Y2, (R * Y2)^2, Y3^2 * Y2^2, (R * Y3)^2, Y2^-2 * Y1 * Y3 * Y1, Y3^-4 * Y2, Y1^4 * Y2^-1, Y2^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 15, 35, 3, 23, 9, 29, 4, 24, 10, 30, 13, 33, 19, 39, 14, 34, 20, 40, 17, 37, 18, 38, 7, 27, 12, 32, 6, 26, 11, 31, 16, 36, 5, 25)(41, 61, 43, 63, 53, 73, 57, 77, 46, 66)(42, 62, 49, 69, 59, 79, 58, 78, 51, 71)(44, 64, 54, 74, 47, 67, 56, 76, 48, 68)(45, 65, 55, 75, 50, 70, 60, 80, 52, 72)
	L = (1, 44)(2, 50)(3, 54)(4, 57)(5, 49)(6, 48)(7, 41)(8, 53)(9, 60)(10, 58)(11, 55)(12, 42)(13, 47)(14, 46)(15, 59)(16, 43)(17, 56)(18, 45)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.117
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y2^-2 * Y3^-2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), (Y1^-1, Y2^-1), (R * Y1)^2, Y2^-1 * Y3^4, Y2^5, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y3^2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 7, 27, 10, 30, 11, 31, 19, 39, 17, 37, 18, 38, 6, 26, 9, 29, 12, 32, 13, 33, 3, 23, 8, 28, 14, 34, 20, 40, 15, 35, 16, 36, 4, 24, 5, 25)(41, 61, 43, 63, 51, 71, 55, 75, 46, 66)(42, 62, 48, 68, 59, 79, 56, 76, 49, 69)(44, 64, 52, 72, 47, 67, 54, 74, 57, 77)(45, 65, 53, 73, 50, 70, 60, 80, 58, 78)
	L = (1, 44)(2, 45)(3, 52)(4, 55)(5, 56)(6, 57)(7, 41)(8, 53)(9, 58)(10, 42)(11, 47)(12, 46)(13, 49)(14, 43)(15, 54)(16, 60)(17, 51)(18, 59)(19, 50)(20, 48)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.113
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, Y2^2 * Y3^2, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y2 * Y3^-4, Y2 * Y1 * Y2 * Y3 * Y1, Y2^5 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 4, 24, 9, 29, 15, 35, 19, 39, 14, 34, 13, 33, 3, 23, 8, 28, 12, 32, 17, 37, 6, 26, 10, 30, 16, 36, 20, 40, 11, 31, 18, 38, 7, 27, 5, 25)(41, 61, 43, 63, 51, 71, 55, 75, 46, 66)(42, 62, 48, 68, 58, 78, 59, 79, 50, 70)(44, 64, 52, 72, 47, 67, 54, 74, 56, 76)(45, 65, 53, 73, 60, 80, 49, 69, 57, 77)
	L = (1, 44)(2, 49)(3, 52)(4, 55)(5, 42)(6, 56)(7, 41)(8, 57)(9, 59)(10, 60)(11, 47)(12, 46)(13, 48)(14, 43)(15, 54)(16, 51)(17, 50)(18, 45)(19, 53)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.118
Graph:: bipartite
	v = 5 e = 40 f = 3
	degree seq :: [ 10^4, 40 ]

E17.134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y3^-1 * Y1^-1 * Y2^2, Y2^-1 * Y1^-1 * Y2^-2, Y3 * Y1 * Y2^-2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y2)^2, Y1^-1 * Y2 * Y3^-1 * Y2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), (Y1, Y3^-1), (R * Y1)^2, Y3^4, Y1^-5 * Y3, Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 17, 37, 16, 36, 4, 24, 10, 30, 6, 26, 11, 31, 18, 38, 15, 35, 20, 40, 14, 34, 3, 23, 9, 29, 7, 27, 12, 32, 19, 39, 13, 33, 5, 25)(41, 61, 43, 63, 50, 70, 45, 65, 54, 74, 44, 64, 53, 73, 60, 80, 56, 76, 59, 79, 55, 75, 57, 77, 52, 72, 58, 78, 48, 68, 47, 67, 51, 71, 42, 62, 49, 69, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 54)(7, 41)(8, 46)(9, 45)(10, 60)(11, 43)(12, 42)(13, 57)(14, 59)(15, 47)(16, 58)(17, 51)(18, 49)(19, 48)(20, 52)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.103
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3 * Y2, (Y3, Y1^-1), Y1^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y2 * Y1^-1, (Y2^-1, Y1^-1), (R * Y2)^2, Y3^-1 * Y1^-1 * Y2^-2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2 * Y1^-1, Y3^4, Y3 * Y2^-2 * Y3^2 * Y1^-1, Y2^3 * Y3^-1 * Y2^2, Y1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 6, 26, 11, 31, 4, 24, 10, 30, 17, 37, 16, 36, 20, 40, 15, 35, 19, 39, 14, 34, 18, 38, 13, 33, 7, 27, 12, 32, 3, 23, 9, 29, 5, 25)(41, 61, 43, 63, 53, 73, 59, 79, 56, 76, 44, 64, 48, 68, 45, 65, 52, 72, 58, 78, 55, 75, 57, 77, 51, 71, 42, 62, 49, 69, 47, 67, 54, 74, 60, 80, 50, 70, 46, 66)
	L = (1, 44)(2, 50)(3, 48)(4, 55)(5, 51)(6, 56)(7, 41)(8, 57)(9, 46)(10, 59)(11, 60)(12, 42)(13, 45)(14, 43)(15, 47)(16, 58)(17, 54)(18, 49)(19, 52)(20, 53)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.104
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (Y2 * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^-1, (Y3, Y2^-1), (Y3, Y1^-1), Y1^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y2 * Y3 * Y1 * Y3, Y1^-1 * Y2^-2 * Y1^-1, (R * Y1)^2, (Y2^-1, Y1), Y1^-1 * Y3 * Y2^-1 * Y3, Y2 * Y3^-2 * Y1, (R * Y2)^2, Y1^-2 * Y3 * Y1^-3, Y1 * Y2^-2 * Y3 * Y1 * Y2^-1, Y2^15 * Y3 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 17, 37, 16, 36, 4, 24, 10, 30, 18, 38, 15, 35, 3, 23, 9, 29, 6, 26, 11, 31, 19, 39, 14, 34, 7, 27, 12, 32, 20, 40, 13, 33, 5, 25)(41, 61, 43, 63, 53, 73, 58, 78, 52, 72, 44, 64, 54, 74, 57, 77, 51, 71, 42, 62, 49, 69, 45, 65, 55, 75, 60, 80, 50, 70, 47, 67, 56, 76, 59, 79, 48, 68, 46, 66)
	L = (1, 44)(2, 50)(3, 54)(4, 49)(5, 56)(6, 52)(7, 41)(8, 58)(9, 47)(10, 46)(11, 60)(12, 42)(13, 57)(14, 45)(15, 59)(16, 43)(17, 55)(18, 51)(19, 53)(20, 48)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.105
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, Y2^-3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-7, (Y2 * Y1^-3)^2, (Y3 * Y2^-1)^5, (Y3^-1 * Y1^-1)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 6, 26, 12, 32, 18, 38, 15, 35, 9, 29, 5, 25, 8, 28, 14, 34, 20, 40, 16, 36, 10, 30, 3, 23, 7, 27, 13, 33, 19, 39, 17, 37, 11, 31, 4, 24)(41, 61, 43, 63, 49, 69, 44, 64, 50, 70, 55, 75, 51, 71, 56, 76, 58, 78, 57, 77, 60, 80, 52, 72, 59, 79, 54, 74, 46, 66, 53, 73, 48, 68, 42, 62, 47, 67, 45, 65)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 52)(7, 53)(8, 54)(9, 45)(10, 43)(11, 44)(12, 58)(13, 59)(14, 60)(15, 49)(16, 50)(17, 51)(18, 55)(19, 57)(20, 56)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.106
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 10, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-3, Y2^2 * Y3^-1 * Y1^-1, (Y1, Y2^-1), Y2^-1 * Y1 * Y2^-1 * Y3, (R * Y1)^2, Y2^-1 * Y3 * Y1 * Y2^-1, Y1^-2 * Y2^-2, Y3^-3 * Y2^-1, (R * Y2)^2, (Y2 * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3 * Y1^-1 * Y3 * Y1^-2 * Y2 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 7, 27, 12, 32, 18, 38, 13, 33, 19, 39, 14, 34, 3, 23, 9, 29, 6, 26, 11, 31, 17, 37, 15, 35, 20, 40, 16, 36, 4, 24, 10, 30, 5, 25)(41, 61, 43, 63, 50, 70, 59, 79, 56, 76, 58, 78, 55, 75, 47, 67, 51, 71, 42, 62, 49, 69, 45, 65, 54, 74, 44, 64, 53, 73, 60, 80, 52, 72, 57, 77, 48, 68, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 54)(7, 41)(8, 45)(9, 59)(10, 60)(11, 43)(12, 42)(13, 47)(14, 58)(15, 46)(16, 57)(17, 49)(18, 48)(19, 52)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.107
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, Y3^5, Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 9, 29, 16, 36, 7, 27)(4, 24, 10, 30, 15, 35, 6, 26)(11, 31, 19, 39, 18, 38, 12, 32)(13, 33, 20, 40, 17, 37, 14, 34)(41, 61, 43, 63, 51, 71, 54, 74, 44, 64, 42, 62, 49, 69, 59, 79, 53, 73, 50, 70, 48, 68, 56, 76, 58, 78, 60, 80, 55, 75, 45, 65, 47, 67, 52, 72, 57, 77, 46, 66)
	L = (1, 44)(2, 50)(3, 42)(4, 53)(5, 46)(6, 54)(7, 41)(8, 55)(9, 48)(10, 60)(11, 49)(12, 43)(13, 58)(14, 59)(15, 57)(16, 45)(17, 51)(18, 47)(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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.146
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y2, Y2 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, Y3^5, Y2^4 * Y3^-1, Y3^2 * Y2^-1 * Y3^2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 7, 27, 10, 30, 12, 32)(4, 24, 6, 26, 9, 29, 15, 35)(11, 31, 13, 33, 18, 38, 20, 40)(14, 34, 16, 36, 17, 37, 19, 39)(41, 61, 43, 63, 51, 71, 56, 76, 44, 64, 45, 65, 52, 72, 60, 80, 54, 74, 55, 75, 48, 68, 50, 70, 58, 78, 59, 79, 49, 69, 42, 62, 47, 67, 53, 73, 57, 77, 46, 66)
	L = (1, 44)(2, 46)(3, 45)(4, 54)(5, 55)(6, 56)(7, 41)(8, 49)(9, 57)(10, 42)(11, 52)(12, 48)(13, 43)(14, 58)(15, 59)(16, 60)(17, 51)(18, 47)(19, 53)(20, 50)(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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.147
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, (Y1^-1, Y2^-1), Y1 * Y2 * Y3^2, Y1^4, (Y3^-1, Y2^-1), Y3^-2 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y3^3, Y1^-1 * Y2 * Y3 * Y2^2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 9, 29, 19, 39, 15, 35)(4, 24, 10, 30, 13, 33, 18, 38)(6, 26, 11, 31, 16, 36, 17, 37)(7, 27, 12, 32, 20, 40, 14, 34)(41, 61, 43, 63, 53, 73, 52, 72, 57, 77, 45, 65, 55, 75, 50, 70, 47, 67, 56, 76, 48, 68, 59, 79, 44, 64, 54, 74, 51, 71, 42, 62, 49, 69, 58, 78, 60, 80, 46, 66)
	L = (1, 44)(2, 50)(3, 54)(4, 57)(5, 58)(6, 59)(7, 41)(8, 53)(9, 47)(10, 46)(11, 55)(12, 42)(13, 51)(14, 45)(15, 60)(16, 43)(17, 49)(18, 56)(19, 52)(20, 48)(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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.145
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2^-1), Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y3^-2 * Y2, Y1^4, (R * Y2)^2, (Y1^-1, Y2^-1), (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2^-2, Y2^2 * Y1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 9, 29, 20, 40, 15, 35)(4, 24, 10, 30, 19, 39, 16, 36)(6, 26, 11, 31, 14, 34, 17, 37)(7, 27, 12, 32, 13, 33, 18, 38)(41, 61, 43, 63, 53, 73, 50, 70, 57, 77, 45, 65, 55, 75, 52, 72, 44, 64, 54, 74, 48, 68, 60, 80, 47, 67, 56, 76, 51, 71, 42, 62, 49, 69, 58, 78, 59, 79, 46, 66)
	L = (1, 44)(2, 50)(3, 54)(4, 49)(5, 56)(6, 52)(7, 41)(8, 59)(9, 57)(10, 60)(11, 53)(12, 42)(13, 48)(14, 58)(15, 51)(16, 43)(17, 47)(18, 45)(19, 55)(20, 46)(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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.144
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1 * Y3^-2 * Y2^-1, Y3^2 * Y1^-1 * Y2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y1, Y2^-1), (R * Y3)^2, (R * Y2)^2, Y1^4, Y3^-20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 5, 25)(3, 23, 9, 29, 17, 37, 13, 33)(4, 24, 10, 30, 18, 38, 14, 34)(6, 26, 11, 31, 19, 39, 15, 35)(7, 27, 12, 32, 20, 40, 16, 36)(41, 61, 43, 63, 44, 64, 52, 72, 51, 71, 42, 62, 49, 69, 50, 70, 60, 80, 59, 79, 48, 68, 57, 77, 58, 78, 56, 76, 55, 75, 45, 65, 53, 73, 54, 74, 47, 67, 46, 66)
	L = (1, 44)(2, 50)(3, 52)(4, 51)(5, 54)(6, 43)(7, 41)(8, 58)(9, 60)(10, 59)(11, 49)(12, 42)(13, 47)(14, 46)(15, 53)(16, 45)(17, 56)(18, 55)(19, 57)(20, 48)(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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.148
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.144 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y2^-1, Y2^2 * Y1^-2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y3^-2 * Y1^-1 * Y2^-1, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, Y2^4 * Y3^-1, Y3^5, (Y3 * Y2^2)^10 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 16, 36, 4, 24, 10, 30, 19, 39, 14, 34, 15, 35, 6, 26, 11, 31, 3, 23, 9, 29, 17, 37, 20, 40, 13, 33, 7, 27, 12, 32, 18, 38, 5, 25)(41, 61, 43, 63, 48, 68, 57, 77, 44, 64, 53, 73, 59, 79, 52, 72, 55, 75, 45, 65, 51, 71, 42, 62, 49, 69, 56, 76, 60, 80, 50, 70, 47, 67, 54, 74, 58, 78, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 57)(7, 41)(8, 59)(9, 47)(10, 46)(11, 60)(12, 42)(13, 45)(14, 43)(15, 49)(16, 54)(17, 52)(18, 48)(19, 51)(20, 58)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.142
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.145 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3 * Y2^-1, (Y2^-1, Y1^-1), (Y3, Y1^-1), Y3 * Y2^-1 * Y1^-1 * Y3, Y2^2 * Y1^-1 * Y2, (R * Y1)^2, Y3^2 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y2)^2, Y3^5, Y3 * Y1^3 * Y2^-1, Y2^-1 * Y1^2 * Y3 * Y1, Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 15, 35, 4, 24, 10, 30, 14, 34, 3, 23, 9, 29, 19, 39, 20, 40, 13, 33, 17, 37, 6, 26, 11, 31, 18, 38, 7, 27, 12, 32, 16, 36, 5, 25)(41, 61, 43, 63, 51, 71, 42, 62, 49, 69, 58, 78, 48, 68, 59, 79, 47, 67, 55, 75, 60, 80, 52, 72, 44, 64, 53, 73, 56, 76, 50, 70, 57, 77, 45, 65, 54, 74, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 49)(5, 55)(6, 52)(7, 41)(8, 54)(9, 57)(10, 59)(11, 56)(12, 42)(13, 58)(14, 60)(15, 43)(16, 48)(17, 47)(18, 45)(19, 46)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.141
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.146 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^2, Y3^5, Y3 * Y2^-4 * Y3, (Y3 * Y2^-1)^20 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 6, 26, 4, 24, 10, 30, 16, 36, 14, 34, 13, 33, 18, 38, 20, 40, 19, 39, 17, 37, 12, 32, 11, 31, 15, 35, 7, 27, 3, 23, 9, 29, 5, 25)(41, 61, 43, 63, 51, 71, 59, 79, 53, 73, 50, 70, 48, 68, 45, 65, 47, 67, 52, 72, 60, 80, 54, 74, 44, 64, 42, 62, 49, 69, 55, 75, 57, 77, 58, 78, 56, 76, 46, 66)
	L = (1, 44)(2, 50)(3, 42)(4, 53)(5, 46)(6, 54)(7, 41)(8, 56)(9, 48)(10, 58)(11, 49)(12, 43)(13, 57)(14, 59)(15, 45)(16, 60)(17, 47)(18, 52)(19, 55)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.139
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.147 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y2, Y2^-1 * Y1^-1 * Y3, (R * Y2)^2, (R * Y3)^2, Y1^3 * Y2^-1, (R * Y1)^2, Y3^5, Y3 * Y2^4 * Y3 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 3, 23, 4, 24, 9, 29, 11, 31, 12, 32, 13, 33, 18, 38, 19, 39, 20, 40, 17, 37, 16, 36, 15, 35, 14, 34, 7, 27, 6, 26, 10, 30, 5, 25)(41, 61, 43, 63, 51, 71, 58, 78, 57, 77, 54, 74, 50, 70, 42, 62, 44, 64, 52, 72, 59, 79, 56, 76, 47, 67, 45, 65, 48, 68, 49, 69, 53, 73, 60, 80, 55, 75, 46, 66)
	L = (1, 44)(2, 49)(3, 52)(4, 53)(5, 43)(6, 42)(7, 41)(8, 51)(9, 58)(10, 48)(11, 59)(12, 60)(13, 57)(14, 45)(15, 50)(16, 46)(17, 47)(18, 56)(19, 55)(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) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.140
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 20, 20, 20})
Quotient :: dipole
Aut^+ = C20 (small group id <20, 2>)
Aut   = D40 (small group id <40, 6>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y1^3 * Y2, Y1^-3 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y3^-1), Y2^-1 * Y1^-1 * Y3^-3, Y3^-2 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 21, 2, 22, 8, 28, 6, 26, 11, 31, 17, 37, 7, 27, 12, 32, 15, 35, 18, 38, 20, 40, 13, 33, 19, 39, 16, 36, 4, 24, 10, 30, 14, 34, 3, 23, 9, 29, 5, 25)(41, 61, 43, 63, 44, 64, 53, 73, 55, 75, 57, 77, 48, 68, 45, 65, 54, 74, 56, 76, 60, 80, 52, 72, 51, 71, 42, 62, 49, 69, 50, 70, 59, 79, 58, 78, 47, 67, 46, 66)
	L = (1, 44)(2, 50)(3, 53)(4, 55)(5, 56)(6, 43)(7, 41)(8, 54)(9, 59)(10, 58)(11, 49)(12, 42)(13, 57)(14, 60)(15, 48)(16, 52)(17, 45)(18, 46)(19, 47)(20, 51)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.143
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y2, Y1^3, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^3 * Y3^-4, Y2^21, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 8, 29, 7, 28)(4, 25, 9, 30, 6, 27)(10, 31, 15, 36, 11, 32)(12, 33, 14, 35, 13, 34)(16, 37, 18, 39, 17, 38)(19, 40, 21, 42, 20, 41)(43, 64, 45, 66, 52, 73, 58, 79, 63, 84, 55, 76, 46, 67, 44, 65, 50, 71, 57, 78, 60, 81, 62, 83, 54, 75, 51, 72, 47, 68, 49, 70, 53, 74, 59, 80, 61, 82, 56, 77, 48, 69)
	L = (1, 46)(2, 51)(3, 44)(4, 54)(5, 48)(6, 55)(7, 43)(8, 47)(9, 56)(10, 50)(11, 45)(12, 61)(13, 62)(14, 63)(15, 49)(16, 57)(17, 52)(18, 53)(19, 58)(20, 59)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.157
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.150 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y1, Y2 * Y3 * Y1, Y1^3, Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^3 * Y3^-4, Y2^21, (Y3 * Y2^-1)^21 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 7, 28, 9, 30)(4, 25, 6, 27, 8, 29)(10, 31, 11, 32, 15, 36)(12, 33, 13, 34, 14, 35)(16, 37, 17, 38, 18, 39)(19, 40, 20, 41, 21, 42)(43, 64, 45, 66, 52, 73, 58, 79, 63, 84, 55, 76, 46, 67, 47, 68, 51, 72, 57, 78, 60, 81, 62, 83, 54, 75, 50, 71, 44, 65, 49, 70, 53, 74, 59, 80, 61, 82, 56, 77, 48, 69)
	L = (1, 46)(2, 48)(3, 47)(4, 54)(5, 50)(6, 55)(7, 43)(8, 56)(9, 44)(10, 51)(11, 45)(12, 61)(13, 62)(14, 63)(15, 49)(16, 57)(17, 52)(18, 53)(19, 58)(20, 59)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.162
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.151 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y2^-1), (Y3^-1, Y1^-1), (Y2^-1, Y1^-1), Y3 * Y1 * Y2^-2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y2 * Y3^2, Y3 * Y2 * Y1^-1 * Y3^2 * Y1^-1, Y2^5 * Y3 * Y1^-1, Y3 * Y1 * Y2^19 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 8, 29, 13, 34)(4, 25, 9, 30, 15, 36)(6, 27, 10, 31, 16, 37)(7, 28, 11, 32, 17, 38)(12, 33, 19, 40, 21, 42)(14, 35, 18, 39, 20, 41)(43, 64, 45, 66, 51, 72, 61, 82, 62, 83, 53, 74, 58, 79, 47, 68, 55, 76, 46, 67, 54, 75, 60, 81, 49, 70, 52, 73, 44, 65, 50, 71, 57, 78, 63, 84, 56, 77, 59, 80, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 56)(5, 57)(6, 55)(7, 43)(8, 61)(9, 60)(10, 45)(11, 44)(12, 59)(13, 63)(14, 58)(15, 62)(16, 50)(17, 47)(18, 48)(19, 49)(20, 52)(21, 53)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.158
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-1 * Y1^-1 * Y2^-2, Y2^2 * Y3 * Y1, Y2 * Y3 * Y2 * Y1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y1), Y3^3 * Y1 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1, (Y1 * Y2^-1)^7, Y3^-1 * Y1^-1 * Y2^19 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 8, 29, 14, 35)(4, 25, 9, 30, 17, 38)(6, 27, 10, 31, 13, 34)(7, 28, 11, 32, 12, 33)(15, 36, 20, 41, 16, 37)(18, 39, 19, 40, 21, 42)(43, 64, 45, 66, 54, 75, 58, 79, 63, 84, 59, 80, 52, 73, 44, 65, 50, 71, 49, 70, 57, 78, 60, 81, 46, 67, 55, 76, 47, 68, 56, 77, 53, 74, 62, 83, 61, 82, 51, 72, 48, 69)
	L = (1, 46)(2, 51)(3, 55)(4, 58)(5, 59)(6, 60)(7, 43)(8, 48)(9, 57)(10, 61)(11, 44)(12, 47)(13, 63)(14, 52)(15, 45)(16, 56)(17, 62)(18, 54)(19, 49)(20, 50)(21, 53)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.160
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y2, Y3), (Y1^-1, Y2), Y2 * Y3 * Y2 * Y1^-1, (R * Y2)^2, Y2 * Y3 * Y1^-1 * Y2, Y1^-1 * Y3 * Y2^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 8, 29, 12, 33)(4, 25, 9, 30, 15, 36)(6, 27, 10, 31, 17, 38)(7, 28, 11, 32, 18, 39)(13, 34, 14, 35, 20, 41)(16, 37, 21, 42, 19, 40)(43, 64, 45, 66, 53, 74, 56, 77, 63, 84, 51, 72, 59, 80, 47, 68, 54, 75, 49, 70, 55, 76, 58, 79, 46, 67, 52, 73, 44, 65, 50, 71, 60, 81, 62, 83, 61, 82, 57, 78, 48, 69)
	L = (1, 46)(2, 51)(3, 52)(4, 56)(5, 57)(6, 58)(7, 43)(8, 59)(9, 62)(10, 63)(11, 44)(12, 48)(13, 45)(14, 50)(15, 55)(16, 53)(17, 61)(18, 47)(19, 49)(20, 54)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.161
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.154 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3, Y2), Y3^-2 * Y1^-1 * Y2^-1, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y1^-1, Y3), Y1^-1 * Y3^-2 * Y2^-1, (Y2, Y1^-1), Y2^-2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 8, 29, 14, 35)(4, 25, 9, 30, 17, 38)(6, 27, 10, 31, 16, 37)(7, 28, 11, 32, 13, 34)(12, 33, 18, 39, 21, 42)(15, 36, 19, 40, 20, 41)(43, 64, 45, 66, 54, 75, 46, 67, 55, 76, 62, 83, 58, 79, 47, 68, 56, 77, 63, 84, 59, 80, 53, 74, 61, 82, 52, 73, 44, 65, 50, 71, 60, 81, 51, 72, 49, 70, 57, 78, 48, 69)
	L = (1, 46)(2, 51)(3, 55)(4, 58)(5, 59)(6, 54)(7, 43)(8, 49)(9, 48)(10, 60)(11, 44)(12, 62)(13, 47)(14, 53)(15, 45)(16, 63)(17, 52)(18, 57)(19, 50)(20, 56)(21, 61)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.159
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.155 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y3^-1, Y1^-1), Y3^-1 * Y2 * Y3^-1 * Y1, Y3^2 * Y1^-1 * Y2^-1, Y1^-1 * Y3^2 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3^-1 * Y2^-1, (R * Y2)^2, Y3 * Y1 * Y3 * Y1 * Y2^-1, Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 5, 26)(3, 24, 8, 29, 14, 35)(4, 25, 9, 30, 15, 36)(6, 27, 10, 31, 16, 37)(7, 28, 11, 32, 17, 38)(12, 33, 18, 39, 20, 41)(13, 34, 19, 40, 21, 42)(43, 64, 45, 66, 54, 75, 49, 70, 57, 78, 63, 84, 58, 79, 47, 68, 56, 77, 62, 83, 59, 80, 51, 72, 61, 82, 52, 73, 44, 65, 50, 71, 60, 81, 53, 74, 46, 67, 55, 76, 48, 69)
	L = (1, 46)(2, 51)(3, 55)(4, 50)(5, 57)(6, 53)(7, 43)(8, 61)(9, 56)(10, 59)(11, 44)(12, 48)(13, 60)(14, 63)(15, 45)(16, 49)(17, 47)(18, 52)(19, 62)(20, 58)(21, 54)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.156
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y3^2, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2^-2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-2, Y1^-1 * Y3^-1 * Y2 * Y1^-1, (Y3, Y1^-1), (R * Y3)^2, Y3^-2 * Y2^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3^-2, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^3, Y3^-1 * Y2 * Y1^19, Y3^-1 * Y1 * Y2^19 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 16, 37, 21, 42, 14, 35, 4, 25, 10, 31, 3, 24, 9, 30, 17, 38, 20, 41, 13, 34, 6, 27, 11, 32, 7, 28, 12, 33, 18, 39, 19, 40, 15, 36, 5, 26)(43, 64, 45, 66, 54, 75, 58, 79, 62, 83, 57, 78, 46, 67, 53, 74, 44, 65, 51, 72, 60, 81, 63, 84, 55, 76, 47, 68, 52, 73, 49, 70, 50, 71, 59, 80, 61, 82, 56, 77, 48, 69)
	L = (1, 46)(2, 52)(3, 53)(4, 55)(5, 56)(6, 57)(7, 43)(8, 45)(9, 49)(10, 48)(11, 47)(12, 44)(13, 61)(14, 62)(15, 63)(16, 51)(17, 54)(18, 50)(19, 58)(20, 60)(21, 59)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.155
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2^-1, (Y1, Y3), Y1 * Y2^-1 * Y3^-2, Y1 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 13, 34, 14, 35, 4, 25, 9, 30, 19, 40, 12, 33, 3, 24, 6, 27, 10, 31, 20, 41, 17, 38, 7, 28, 11, 32, 15, 36, 21, 42, 16, 37, 5, 26)(43, 64, 45, 66, 47, 68, 54, 75, 58, 79, 61, 82, 63, 84, 51, 72, 57, 78, 46, 67, 53, 74, 56, 77, 49, 70, 55, 76, 59, 80, 60, 81, 62, 83, 50, 71, 52, 73, 44, 65, 48, 69)
	L = (1, 46)(2, 51)(3, 53)(4, 52)(5, 56)(6, 57)(7, 43)(8, 61)(9, 62)(10, 63)(11, 44)(12, 49)(13, 45)(14, 48)(15, 50)(16, 55)(17, 47)(18, 54)(19, 59)(20, 58)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.149
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.158 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1 * Y1 * Y2^-1, Y2^-1 * Y1^2 * Y3^-1, (Y1, Y3^-1), (R * Y3)^2, Y1^2 * Y2^-1 * Y3^-1, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^4, Y1^-1 * Y2^-2 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y2^-1 * Y3^2, Y3 * Y1 * Y3 * Y2^-2, Y3 * Y2 * Y3 * Y2^2, Y1 * Y2^-5 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 6, 27, 11, 32, 4, 25, 10, 31, 20, 41, 21, 42, 16, 37, 14, 35, 15, 36, 13, 34, 19, 40, 7, 28, 12, 33, 3, 24, 9, 30, 17, 38, 5, 26)(43, 64, 45, 66, 55, 76, 63, 84, 53, 74, 44, 65, 51, 72, 61, 82, 58, 79, 46, 67, 50, 71, 59, 80, 49, 70, 56, 77, 52, 73, 60, 81, 47, 68, 54, 75, 57, 78, 62, 83, 48, 69)
	L = (1, 46)(2, 52)(3, 50)(4, 57)(5, 53)(6, 58)(7, 43)(8, 62)(9, 60)(10, 55)(11, 56)(12, 44)(13, 59)(14, 45)(15, 51)(16, 54)(17, 48)(18, 63)(19, 47)(20, 61)(21, 49)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.151
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.159 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-2, Y3 * Y2^-1 * Y3 * Y1^-1, Y3^-2 * Y2 * Y1, (Y3, Y2^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^4 * Y3, (Y3^-1 * Y1^-1)^3, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 17, 38, 13, 34, 4, 25, 10, 31, 20, 41, 15, 36, 6, 27, 3, 24, 9, 30, 19, 40, 16, 37, 7, 28, 11, 32, 12, 33, 21, 42, 14, 35, 5, 26)(43, 64, 45, 66, 44, 65, 51, 72, 50, 71, 61, 82, 60, 81, 58, 79, 59, 80, 49, 70, 55, 76, 53, 74, 46, 67, 54, 75, 52, 73, 63, 84, 62, 83, 56, 77, 57, 78, 47, 68, 48, 69)
	L = (1, 46)(2, 52)(3, 54)(4, 51)(5, 55)(6, 53)(7, 43)(8, 62)(9, 63)(10, 61)(11, 44)(12, 50)(13, 45)(14, 59)(15, 49)(16, 47)(17, 48)(18, 57)(19, 56)(20, 58)(21, 60)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.154
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.160 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3^-1), (Y3, Y1^-1), Y1^-1 * Y2^-1 * Y1^-1 * Y3, Y1^-2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-2 * Y2^-1, (R * Y2)^2, Y1^-1 * Y3^3 * Y2, Y3 * Y2^-2 * Y3 * Y2^-1, Y3^-1 * Y2^-2 * Y1^-1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 15, 36, 3, 24, 9, 30, 4, 25, 10, 31, 13, 34, 21, 42, 14, 35, 20, 41, 17, 38, 19, 40, 18, 39, 7, 28, 12, 33, 6, 27, 11, 32, 16, 37, 5, 26)(43, 64, 45, 66, 55, 76, 59, 80, 54, 75, 47, 68, 57, 78, 52, 73, 62, 83, 49, 70, 58, 79, 50, 71, 46, 67, 56, 77, 60, 81, 53, 74, 44, 65, 51, 72, 63, 84, 61, 82, 48, 69)
	L = (1, 46)(2, 52)(3, 56)(4, 59)(5, 51)(6, 50)(7, 43)(8, 55)(9, 62)(10, 61)(11, 57)(12, 44)(13, 60)(14, 54)(15, 63)(16, 45)(17, 53)(18, 47)(19, 58)(20, 48)(21, 49)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.152
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.161 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2, (Y1^-1, Y3^-1), Y2 * Y3^-1 * Y2^2, (R * Y3)^2, (R * Y2)^2, (Y3, Y2), (R * Y1)^2, Y3^3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 3, 24, 8, 29, 11, 32, 15, 36, 4, 25, 9, 30, 12, 33, 19, 40, 20, 41, 21, 42, 14, 35, 18, 39, 17, 38, 7, 28, 10, 31, 13, 34, 16, 37, 6, 27, 5, 26)(43, 64, 45, 66, 53, 74, 46, 67, 54, 75, 62, 83, 56, 77, 59, 80, 52, 73, 58, 79, 47, 68, 44, 65, 50, 71, 57, 78, 51, 72, 61, 82, 63, 84, 60, 81, 49, 70, 55, 76, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 56)(5, 57)(6, 53)(7, 43)(8, 61)(9, 60)(10, 44)(11, 62)(12, 59)(13, 45)(14, 58)(15, 63)(16, 50)(17, 47)(18, 48)(19, 49)(20, 52)(21, 55)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.153
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.162 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 21, 21, 21})
Quotient :: dipole
Aut^+ = C21 (small group id <21, 2>)
Aut   = D42 (small group id <42, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y3, Y2^3 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^3, Y1^-2 * Y2 * Y1^-3, Y3^7 ]
Map:: non-degenerate
	R = (1, 22, 2, 23, 8, 29, 18, 39, 13, 34, 3, 24, 4, 25, 9, 30, 19, 40, 17, 38, 11, 32, 12, 33, 14, 35, 21, 42, 16, 37, 7, 28, 6, 27, 10, 31, 20, 41, 15, 36, 5, 26)(43, 64, 45, 66, 53, 74, 49, 70, 47, 68, 55, 76, 59, 80, 58, 79, 57, 78, 60, 81, 61, 82, 63, 84, 62, 83, 50, 71, 51, 72, 56, 77, 52, 73, 44, 65, 46, 67, 54, 75, 48, 69)
	L = (1, 46)(2, 51)(3, 54)(4, 56)(5, 45)(6, 44)(7, 43)(8, 61)(9, 63)(10, 50)(11, 48)(12, 52)(13, 53)(14, 62)(15, 55)(16, 47)(17, 49)(18, 59)(19, 58)(20, 60)(21, 57)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.150
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.163 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (R * Y3)^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (Y1^-1 * Y2^-1)^3, (Y3 * Y1^-2)^2, Y2^6, Y1^6, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 15, 39, 6, 30, 5, 29)(2, 26, 7, 31, 4, 28, 12, 36, 14, 38, 8, 32)(9, 33, 19, 43, 11, 35, 21, 45, 13, 37, 20, 44)(16, 40, 22, 46, 17, 41, 24, 48, 18, 42, 23, 47)(49, 50, 54, 62, 58, 52)(51, 57, 53, 61, 63, 59)(55, 64, 56, 66, 60, 65)(67, 70, 68, 71, 69, 72)(73, 74, 78, 86, 82, 76)(75, 81, 77, 85, 87, 83)(79, 88, 80, 90, 84, 89)(91, 94, 92, 95, 93, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.164
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.164 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (R * Y3)^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (Y1^-1 * Y2^-1)^3, (Y3 * Y1^-2)^2, Y2^6, Y1^6, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 15, 39, 63, 87, 6, 30, 54, 78, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 4, 28, 52, 76, 12, 36, 60, 84, 14, 38, 62, 86, 8, 32, 56, 80)(9, 33, 57, 81, 19, 43, 67, 91, 11, 35, 59, 83, 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, 30)(3, 33)(4, 25)(5, 37)(6, 38)(7, 40)(8, 42)(9, 29)(10, 28)(11, 27)(12, 41)(13, 39)(14, 34)(15, 35)(16, 32)(17, 31)(18, 36)(19, 46)(20, 47)(21, 48)(22, 44)(23, 45)(24, 43)(49, 74)(50, 78)(51, 81)(52, 73)(53, 85)(54, 86)(55, 88)(56, 90)(57, 77)(58, 76)(59, 75)(60, 89)(61, 87)(62, 82)(63, 83)(64, 80)(65, 79)(66, 84)(67, 94)(68, 95)(69, 96)(70, 92)(71, 93)(72, 91)
	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 E17.163
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.165 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {6, 6, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1, (Y3^-1 * Y2^-1)^2, (Y1^-1 * Y3^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-1, (Y2 * Y1^-1)^2, Y3^2 * Y1 * Y2, Y2 * Y1 * Y2^-1 * Y3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-2 * Y1^-2, (Y3^-1 * Y1)^3, Y2^-2 * Y3^3 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 15, 39, 19, 43, 9, 33, 7, 31)(2, 26, 10, 34, 24, 48, 17, 41, 20, 44, 12, 36)(3, 27, 14, 38, 5, 29, 18, 42, 22, 46, 8, 32)(6, 30, 16, 40, 23, 47, 13, 37, 21, 45, 11, 35)(49, 50, 56, 67, 65, 53)(51, 60, 71, 66, 72, 59)(52, 62, 69, 57, 70, 64)(54, 58, 55, 61, 68, 63)(73, 75, 85, 91, 90, 78)(74, 81, 95, 89, 76, 83)(77, 82, 93, 80, 92, 88)(79, 84, 94, 87, 96, 86)
	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) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.166
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.166 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {6, 6, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x A4 (small group id <24, 13>)
Aut   = C2 x S4 (small group id <48, 48>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1, (Y3^-1 * Y2^-1)^2, (Y1^-1 * Y3^-1)^2, Y2^-1 * Y3 * Y1 * Y3^-1, (Y2 * Y1^-1)^2, Y3^2 * Y1 * Y2, Y2 * Y1 * Y2^-1 * Y3, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y2^-2 * Y1^-2, (Y3^-1 * Y1)^3, Y2^-2 * Y3^3 * Y2^-1, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 15, 39, 63, 87, 19, 43, 67, 91, 9, 33, 57, 81, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 24, 48, 72, 96, 17, 41, 65, 89, 20, 44, 68, 92, 12, 36, 60, 84)(3, 27, 51, 75, 14, 38, 62, 86, 5, 29, 53, 77, 18, 42, 66, 90, 22, 46, 70, 94, 8, 32, 56, 80)(6, 30, 54, 78, 16, 40, 64, 88, 23, 47, 71, 95, 13, 37, 61, 85, 21, 45, 69, 93, 11, 35, 59, 83)
	L = (1, 26)(2, 32)(3, 36)(4, 38)(5, 25)(6, 34)(7, 37)(8, 43)(9, 46)(10, 31)(11, 27)(12, 47)(13, 44)(14, 45)(15, 30)(16, 28)(17, 29)(18, 48)(19, 41)(20, 39)(21, 33)(22, 40)(23, 42)(24, 35)(49, 75)(50, 81)(51, 85)(52, 83)(53, 82)(54, 73)(55, 84)(56, 92)(57, 95)(58, 93)(59, 74)(60, 94)(61, 91)(62, 79)(63, 96)(64, 77)(65, 76)(66, 78)(67, 90)(68, 88)(69, 80)(70, 87)(71, 89)(72, 86)
	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 E17.165
Transitivity :: VT+
Graph::
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 6, 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, Y3^2, Y3 * Y1 * Y2, (R * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-2 * Y3 * Y1^-2, Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2, Y1^6, (Y2 * Y1^-2)^2, Y2^6, (Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 20, 44, 16, 40, 5, 29)(3, 27, 10, 34, 18, 42, 19, 43, 21, 45, 12, 36)(4, 28, 6, 30, 17, 41, 24, 48, 11, 35, 14, 38)(8, 32, 9, 33, 23, 47, 15, 39, 13, 37, 22, 46)(49, 73, 51, 75, 59, 83, 68, 92, 67, 91, 54, 78)(50, 74, 52, 76, 61, 85, 64, 88, 72, 96, 57, 81)(53, 77, 63, 87, 69, 93, 55, 79, 56, 80, 58, 82)(60, 84, 71, 95, 65, 89, 66, 90, 70, 94, 62, 86)
	L = (1, 52)(2, 56)(3, 53)(4, 49)(5, 51)(6, 66)(7, 67)(8, 50)(9, 65)(10, 70)(11, 60)(12, 59)(13, 62)(14, 61)(15, 64)(16, 63)(17, 57)(18, 54)(19, 55)(20, 72)(21, 71)(22, 58)(23, 69)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y2^2 * Y3^-1 * Y1^-1, Y1 * Y2^-2 * Y3, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y3 * Y1 * Y2^6, (Y1^-1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 16, 40, 5, 29)(3, 27, 12, 36, 19, 43, 23, 47, 18, 42, 9, 33)(4, 28, 10, 34, 21, 45, 24, 48, 17, 41, 7, 31)(6, 30, 14, 38, 13, 37, 22, 46, 15, 39, 11, 35)(49, 73, 51, 75, 58, 82, 70, 94, 68, 92, 71, 95, 65, 89, 54, 78)(50, 74, 57, 81, 69, 93, 61, 85, 64, 88, 67, 91, 55, 79, 59, 83)(52, 76, 63, 87, 56, 80, 66, 90, 72, 96, 62, 86, 53, 77, 60, 84)
	L = (1, 52)(2, 58)(3, 61)(4, 50)(5, 55)(6, 57)(7, 49)(8, 69)(9, 62)(10, 56)(11, 66)(12, 70)(13, 60)(14, 51)(15, 71)(16, 65)(17, 53)(18, 54)(19, 63)(20, 72)(21, 68)(22, 67)(23, 59)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.170
Graph:: bipartite
	v = 7 e = 48 f = 9
	degree seq :: [ 12^4, 16^3 ]

E17.169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^2, Y1 * Y2 * Y1 * Y2^-1, Y2^2 * Y3 * Y1, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y3)^2, Y2^2 * Y1 * Y3, Y1^6, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 17, 41, 5, 29)(3, 27, 12, 36, 18, 42, 23, 47, 16, 40, 9, 33)(4, 28, 10, 34, 21, 45, 24, 48, 13, 37, 7, 31)(6, 30, 15, 39, 19, 43, 22, 46, 14, 38, 11, 35)(49, 73, 51, 75, 61, 85, 70, 94, 68, 92, 71, 95, 58, 82, 54, 78)(50, 74, 57, 81, 55, 79, 67, 91, 65, 89, 66, 90, 69, 93, 59, 83)(52, 76, 63, 87, 53, 77, 60, 84, 72, 96, 62, 86, 56, 80, 64, 88)
	L = (1, 52)(2, 58)(3, 59)(4, 50)(5, 55)(6, 66)(7, 49)(8, 69)(9, 62)(10, 56)(11, 60)(12, 54)(13, 53)(14, 51)(15, 71)(16, 70)(17, 61)(18, 63)(19, 64)(20, 72)(21, 68)(22, 57)(23, 67)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.171
Graph:: bipartite
	v = 7 e = 48 f = 9
	degree seq :: [ 12^4, 16^3 ]

E17.170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2, Y2^-1 * Y3^3, (R * Y1)^2, (Y2^-1, Y3), (R * Y3)^2, Y2^4, (R * Y2)^2, Y1 * Y2^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 9, 33, 11, 35, 13, 37, 3, 27, 5, 29)(4, 28, 15, 39, 17, 41, 19, 43, 24, 48, 10, 34, 12, 36, 16, 40)(7, 31, 21, 45, 20, 44, 18, 42, 23, 47, 8, 32, 14, 38, 22, 46)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 53, 77, 61, 85, 57, 81)(52, 76, 60, 84, 72, 96, 65, 89)(55, 79, 62, 86, 71, 95, 68, 92)(56, 80, 66, 90, 69, 93, 70, 94)(58, 82, 67, 91, 63, 87, 64, 88)
	L = (1, 52)(2, 56)(3, 60)(4, 62)(5, 66)(6, 65)(7, 49)(8, 67)(9, 70)(10, 50)(11, 72)(12, 71)(13, 69)(14, 51)(15, 61)(16, 57)(17, 55)(18, 63)(19, 53)(20, 54)(21, 64)(22, 58)(23, 59)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.168
Graph:: bipartite
	v = 9 e = 48 f = 7
	degree seq :: [ 8^6, 16^3 ]

E17.171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 8, 8})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1 * Y1, Y3^-3 * Y2, (Y3, Y2), Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y1 * Y3 * Y1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 3, 27, 8, 32, 11, 35, 18, 42, 6, 30, 5, 29)(4, 28, 14, 38, 12, 36, 19, 43, 24, 48, 10, 34, 16, 40, 15, 39)(7, 31, 21, 45, 13, 37, 17, 41, 23, 47, 9, 33, 20, 44, 22, 46)(49, 73, 51, 75, 59, 83, 54, 78)(50, 74, 56, 80, 66, 90, 53, 77)(52, 76, 60, 84, 72, 96, 64, 88)(55, 79, 61, 85, 71, 95, 68, 92)(57, 81, 70, 94, 69, 93, 65, 89)(58, 82, 63, 87, 62, 86, 67, 91)
	L = (1, 52)(2, 57)(3, 60)(4, 61)(5, 65)(6, 64)(7, 49)(8, 70)(9, 63)(10, 50)(11, 72)(12, 71)(13, 51)(14, 66)(15, 56)(16, 55)(17, 58)(18, 69)(19, 53)(20, 54)(21, 67)(22, 62)(23, 59)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 16, 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.169
Graph:: bipartite
	v = 9 e = 48 f = 7
	degree seq :: [ 8^6, 16^3 ]

E17.172 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^3, (R * Y3)^2, (Y1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y1), Y1^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 18, 42, 14, 38)(4, 28, 10, 34, 19, 43, 15, 39)(6, 30, 11, 35, 20, 44, 16, 40)(7, 31, 12, 36, 21, 45, 17, 41)(13, 37, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 52, 76, 61, 85, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 70, 94, 60, 84, 59, 83)(53, 77, 62, 86, 63, 87, 71, 95, 65, 89, 64, 88)(56, 80, 66, 90, 67, 91, 72, 96, 69, 93, 68, 92)
	L = (1, 52)(2, 58)(3, 61)(4, 55)(5, 63)(6, 51)(7, 49)(8, 67)(9, 70)(10, 60)(11, 57)(12, 50)(13, 54)(14, 71)(15, 65)(16, 62)(17, 53)(18, 72)(19, 69)(20, 66)(21, 56)(22, 59)(23, 64)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E17.178
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.173 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, (Y2^-1, Y3), (Y1^-1, Y2^-1), Y1^4, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y2)^2, Y2^2 * Y1^2 * Y3^-1, Y1 * Y3 * Y2^-2 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 15, 39)(4, 28, 10, 34, 13, 37, 18, 42)(6, 30, 11, 35, 16, 40, 20, 44)(7, 31, 12, 36, 17, 41, 21, 45)(14, 38, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 71, 95, 65, 89, 54, 78)(50, 74, 57, 81, 66, 90, 72, 96, 69, 93, 59, 83)(52, 76, 62, 86, 55, 79, 64, 88, 56, 80, 67, 91)(53, 77, 63, 87, 58, 82, 70, 94, 60, 84, 68, 92)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 61)(9, 70)(10, 69)(11, 63)(12, 50)(13, 55)(14, 54)(15, 72)(16, 51)(17, 56)(18, 60)(19, 71)(20, 57)(21, 53)(22, 59)(23, 64)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E17.181
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.174 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2 * Y3 * Y1, Y1 * Y3 * Y2 * Y1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), Y2^-1 * Y1^2 * Y3^-1, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-1 * Y3 * Y1^-1, Y1^4, Y3^4 * Y2^-2, Y2^6, (Y3^-1 * Y2)^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 7, 31, 12, 36)(4, 28, 10, 34, 6, 30, 11, 35)(13, 37, 17, 41, 14, 38, 18, 42)(15, 39, 19, 43, 16, 40, 20, 44)(21, 45, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 61, 85, 69, 93, 63, 87, 54, 78)(50, 74, 57, 81, 65, 89, 71, 95, 67, 91, 59, 83)(52, 76, 56, 80, 55, 79, 62, 86, 70, 94, 64, 88)(53, 77, 60, 84, 66, 90, 72, 96, 68, 92, 58, 82)
	L = (1, 52)(2, 58)(3, 56)(4, 63)(5, 59)(6, 64)(7, 49)(8, 54)(9, 53)(10, 67)(11, 68)(12, 50)(13, 55)(14, 51)(15, 70)(16, 69)(17, 60)(18, 57)(19, 72)(20, 71)(21, 62)(22, 61)(23, 66)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E17.179
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2)^2, Y1^4, (R * Y3)^2, (Y1^-1, Y3), Y3^-2 * Y2^-2, (Y2, Y1), (R * Y2)^2, (R * Y1)^2, Y2^-3 * Y1^2, Y3 * Y2^-1 * Y1^-2 * Y3, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 17, 41, 15, 39)(4, 28, 10, 34, 16, 40, 18, 42)(6, 30, 11, 35, 13, 37, 20, 44)(7, 31, 12, 36, 19, 43, 21, 45)(14, 38, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 56, 80, 65, 89, 54, 78)(50, 74, 57, 81, 68, 92, 53, 77, 63, 87, 59, 83)(52, 76, 62, 86, 55, 79, 64, 88, 71, 95, 67, 91)(58, 82, 70, 94, 60, 84, 66, 90, 72, 96, 69, 93)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 66)(6, 67)(7, 49)(8, 64)(9, 70)(10, 63)(11, 69)(12, 50)(13, 55)(14, 54)(15, 72)(16, 51)(17, 71)(18, 57)(19, 56)(20, 60)(21, 53)(22, 59)(23, 61)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.180
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1 * Y3, Y2^-2 * Y1^2, (Y2, Y3), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^6, Y1^6, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 16, 40, 6, 30, 11, 35)(4, 28, 10, 34, 21, 45, 23, 47, 17, 41, 7, 31)(12, 36, 22, 46, 24, 48, 18, 42, 14, 38, 13, 37)(49, 73, 51, 75, 56, 80, 68, 92, 63, 87, 54, 78)(50, 74, 57, 81, 67, 91, 64, 88, 53, 77, 59, 83)(52, 76, 60, 84, 69, 93, 72, 96, 65, 89, 62, 86)(55, 79, 61, 85, 58, 82, 70, 94, 71, 95, 66, 90)
	L = (1, 52)(2, 58)(3, 60)(4, 50)(5, 55)(6, 62)(7, 49)(8, 69)(9, 70)(10, 56)(11, 61)(12, 57)(13, 51)(14, 59)(15, 65)(16, 66)(17, 53)(18, 54)(19, 71)(20, 72)(21, 67)(22, 68)(23, 63)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.177
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.177 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1)^2, Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-2 * Y2 * Y3^-1, Y3^2 * Y1^-2, Y3 * Y1^2 * Y2^-1, (R * Y1)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y2^4, (Y3^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 14, 38, 21, 45, 13, 37, 20, 44, 17, 41, 22, 46, 15, 39, 5, 29)(3, 27, 9, 33, 19, 43, 24, 48, 23, 47, 16, 40, 6, 30, 11, 35, 7, 31, 12, 36, 4, 28, 10, 34)(49, 73, 51, 75, 61, 85, 54, 78)(50, 74, 57, 81, 68, 92, 59, 83)(52, 76, 62, 86, 71, 95, 63, 87)(53, 77, 58, 82, 69, 93, 64, 88)(55, 79, 56, 80, 67, 91, 65, 89)(60, 84, 66, 90, 72, 96, 70, 94)
	L = (1, 52)(2, 58)(3, 62)(4, 56)(5, 60)(6, 63)(7, 49)(8, 51)(9, 69)(10, 66)(11, 53)(12, 50)(13, 71)(14, 67)(15, 55)(16, 70)(17, 54)(18, 57)(19, 61)(20, 64)(21, 72)(22, 59)(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) :: { ( 12^8 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E17.176
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-2, Y3^3, (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2), (Y3 * Y1^-1)^2, Y3 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 20, 44, 12, 36, 13, 37)(6, 30, 9, 33, 18, 42, 22, 46, 15, 39, 16, 40)(11, 35, 19, 43, 17, 41, 21, 45, 23, 47, 24, 48)(49, 73, 51, 75, 59, 83, 63, 87, 52, 76, 60, 84, 71, 95, 66, 90, 55, 79, 62, 86, 65, 89, 54, 78)(50, 74, 56, 80, 67, 91, 64, 88, 53, 77, 61, 85, 72, 96, 70, 94, 58, 82, 68, 92, 69, 93, 57, 81)
	L = (1, 52)(2, 53)(3, 60)(4, 55)(5, 58)(6, 63)(7, 49)(8, 61)(9, 64)(10, 50)(11, 71)(12, 62)(13, 68)(14, 51)(15, 66)(16, 70)(17, 59)(18, 54)(19, 72)(20, 56)(21, 67)(22, 57)(23, 65)(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, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.172
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^-2 * Y1^2, Y3^-2 * Y1^2, (Y3, Y1^-1), (R * Y2)^2, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y3^-6, Y1^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 16, 40, 5, 29)(3, 27, 6, 30, 10, 34, 21, 45, 23, 47, 13, 37)(4, 28, 9, 33, 20, 44, 17, 41, 7, 31, 11, 35)(12, 36, 15, 39, 22, 46, 24, 48, 14, 38, 18, 42)(49, 73, 51, 75, 53, 77, 61, 85, 64, 88, 71, 95, 67, 91, 69, 93, 56, 80, 58, 82, 50, 74, 54, 78)(52, 76, 60, 84, 59, 83, 66, 90, 55, 79, 62, 86, 65, 89, 72, 96, 68, 92, 70, 94, 57, 81, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 56)(5, 59)(6, 63)(7, 49)(8, 68)(9, 67)(10, 70)(11, 50)(12, 58)(13, 66)(14, 51)(15, 69)(16, 55)(17, 53)(18, 54)(19, 65)(20, 64)(21, 72)(22, 71)(23, 62)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.174
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.180 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y2^-1 * Y3 * Y1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2^-1, (Y3, Y1^-1), (Y1, Y2^-1), (R * Y1)^2, (R * Y2)^2, (Y2, Y3), (R * Y3)^2, Y3^6, Y1^-6, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y2^6 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 15, 39, 5, 29)(3, 27, 9, 33, 20, 44, 18, 42, 24, 48, 14, 38)(4, 28, 10, 34, 21, 45, 17, 41, 7, 31, 12, 36)(6, 30, 11, 35, 22, 46, 13, 37, 23, 47, 16, 40)(49, 73, 51, 75, 58, 82, 71, 95, 63, 87, 72, 96, 60, 84, 70, 94, 56, 80, 68, 92, 65, 89, 54, 78)(50, 74, 57, 81, 69, 93, 64, 88, 53, 77, 62, 86, 52, 76, 61, 85, 67, 91, 66, 90, 55, 79, 59, 83)
	L = (1, 52)(2, 58)(3, 61)(4, 56)(5, 60)(6, 62)(7, 49)(8, 69)(9, 71)(10, 67)(11, 51)(12, 50)(13, 68)(14, 70)(15, 55)(16, 72)(17, 53)(18, 54)(19, 65)(20, 64)(21, 63)(22, 57)(23, 66)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.175
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.181 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y3^2 * Y1^-2, (Y3, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1, Y1^6, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 16, 40, 5, 29)(3, 27, 9, 33, 15, 39, 22, 46, 23, 47, 13, 37)(4, 28, 10, 34, 20, 44, 18, 42, 7, 31, 12, 36)(6, 30, 11, 35, 21, 45, 24, 48, 14, 38, 17, 41)(49, 73, 51, 75, 55, 79, 62, 86, 64, 88, 71, 95, 68, 92, 69, 93, 56, 80, 63, 87, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 65, 89, 53, 77, 61, 85, 66, 90, 72, 96, 67, 91, 70, 94, 58, 82, 59, 83)
	L = (1, 52)(2, 58)(3, 54)(4, 56)(5, 60)(6, 63)(7, 49)(8, 68)(9, 59)(10, 67)(11, 70)(12, 50)(13, 65)(14, 51)(15, 69)(16, 55)(17, 57)(18, 53)(19, 66)(20, 64)(21, 71)(22, 72)(23, 62)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.173
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.182 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 6, 6, 12})
Quotient :: edge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (Y3 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, (Y1^-1 * Y3^-2)^2, Y2^6, Y1^6, (Y1 * Y2 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 19, 43, 12, 36, 21, 45, 24, 48, 18, 42, 6, 30, 17, 41, 15, 39, 5, 29)(2, 26, 7, 31, 20, 44, 13, 37, 4, 28, 11, 35, 23, 47, 9, 33, 16, 40, 14, 38, 22, 46, 8, 32)(49, 50, 54, 64, 60, 52)(51, 57, 65, 61, 69, 56)(53, 59, 66, 55, 67, 62)(58, 68, 63, 70, 72, 71)(73, 74, 78, 88, 84, 76)(75, 81, 89, 85, 93, 80)(77, 83, 90, 79, 91, 86)(82, 92, 87, 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) :: { ( 16^6 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.185
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 6^8, 24^2 ]

E17.183 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 6, 6, 12})
Quotient :: edge^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^6, Y1^6, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 9, 33, 5, 29)(2, 26, 7, 31, 16, 40, 8, 32)(4, 28, 11, 35, 17, 41, 10, 34)(6, 30, 14, 38, 22, 46, 15, 39)(12, 36, 18, 42, 23, 47, 19, 43)(13, 37, 20, 44, 24, 48, 21, 45)(49, 50, 54, 61, 60, 52)(51, 56, 62, 69, 66, 58)(53, 55, 63, 68, 67, 59)(57, 64, 70, 72, 71, 65)(73, 74, 78, 85, 84, 76)(75, 80, 86, 93, 90, 82)(77, 79, 87, 92, 91, 83)(81, 88, 94, 96, 95, 89)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.184
Graph:: simple bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 6^8, 8^6 ]

E17.184 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 6, 6, 12})
Quotient :: loop^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, (Y3 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y3 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, (Y1^-1 * Y3^-2)^2, Y2^6, Y1^6, (Y1 * Y2 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 19, 43, 67, 91, 12, 36, 60, 84, 21, 45, 69, 93, 24, 48, 72, 96, 18, 42, 66, 90, 6, 30, 54, 78, 17, 41, 65, 89, 15, 39, 63, 87, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 20, 44, 68, 92, 13, 37, 61, 85, 4, 28, 52, 76, 11, 35, 59, 83, 23, 47, 71, 95, 9, 33, 57, 81, 16, 40, 64, 88, 14, 38, 62, 86, 22, 46, 70, 94, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 35)(6, 40)(7, 43)(8, 27)(9, 41)(10, 44)(11, 42)(12, 28)(13, 45)(14, 29)(15, 46)(16, 36)(17, 37)(18, 31)(19, 38)(20, 39)(21, 32)(22, 48)(23, 34)(24, 47)(49, 74)(50, 78)(51, 81)(52, 73)(53, 83)(54, 88)(55, 91)(56, 75)(57, 89)(58, 92)(59, 90)(60, 76)(61, 93)(62, 77)(63, 94)(64, 84)(65, 85)(66, 79)(67, 86)(68, 87)(69, 80)(70, 96)(71, 82)(72, 95)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.183
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.185 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 6, 6, 12})
Quotient :: loop^2
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^4, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^6, Y1^6, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 9, 33, 57, 81, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 8, 32, 56, 80)(4, 28, 52, 76, 11, 35, 59, 83, 17, 41, 65, 89, 10, 34, 58, 82)(6, 30, 54, 78, 14, 38, 62, 86, 22, 46, 70, 94, 15, 39, 63, 87)(12, 36, 60, 84, 18, 42, 66, 90, 23, 47, 71, 95, 19, 43, 67, 91)(13, 37, 61, 85, 20, 44, 68, 92, 24, 48, 72, 96, 21, 45, 69, 93)
	L = (1, 26)(2, 30)(3, 32)(4, 25)(5, 31)(6, 37)(7, 39)(8, 38)(9, 40)(10, 27)(11, 29)(12, 28)(13, 36)(14, 45)(15, 44)(16, 46)(17, 33)(18, 34)(19, 35)(20, 43)(21, 42)(22, 48)(23, 41)(24, 47)(49, 74)(50, 78)(51, 80)(52, 73)(53, 79)(54, 85)(55, 87)(56, 86)(57, 88)(58, 75)(59, 77)(60, 76)(61, 84)(62, 93)(63, 92)(64, 94)(65, 81)(66, 82)(67, 83)(68, 91)(69, 90)(70, 96)(71, 89)(72, 95)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.182
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y3^3, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1), (R * Y2)^2, Y1^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 18, 42, 9, 33)(4, 28, 10, 34, 19, 43, 15, 39)(6, 30, 16, 40, 20, 44, 11, 35)(7, 31, 12, 36, 21, 45, 17, 41)(14, 38, 23, 47, 24, 48, 22, 46)(49, 73, 51, 75, 52, 76, 62, 86, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 70, 94, 60, 84, 59, 83)(53, 77, 61, 85, 63, 87, 71, 95, 65, 89, 64, 88)(56, 80, 66, 90, 67, 91, 72, 96, 69, 93, 68, 92)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 63)(6, 51)(7, 49)(8, 67)(9, 70)(10, 60)(11, 57)(12, 50)(13, 71)(14, 54)(15, 65)(16, 61)(17, 53)(18, 72)(19, 69)(20, 66)(21, 56)(22, 59)(23, 64)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E17.188
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-2, Y1 * Y2 * Y1 * Y2^-1, (R * Y2)^2, (Y2^-1, Y3), (R * Y3)^2, (Y1^-1, Y3^-1), Y1^4, (R * Y1)^2, Y1^-1 * Y3 * Y2^-2 * Y1^-1, Y1^-2 * Y3^-3, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1, Y2^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 19, 43, 9, 33)(4, 28, 10, 34, 14, 38, 18, 42)(6, 30, 20, 44, 16, 40, 11, 35)(7, 31, 12, 36, 17, 41, 21, 45)(15, 39, 23, 47, 24, 48, 22, 46)(49, 73, 51, 75, 62, 86, 72, 96, 65, 89, 54, 78)(50, 74, 57, 81, 66, 90, 71, 95, 69, 93, 59, 83)(52, 76, 63, 87, 55, 79, 64, 88, 56, 80, 67, 91)(53, 77, 61, 85, 58, 82, 70, 94, 60, 84, 68, 92)
	L = (1, 52)(2, 58)(3, 63)(4, 65)(5, 66)(6, 67)(7, 49)(8, 62)(9, 70)(10, 69)(11, 61)(12, 50)(13, 71)(14, 55)(15, 54)(16, 51)(17, 56)(18, 60)(19, 72)(20, 57)(21, 53)(22, 59)(23, 68)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 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 E17.189
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1 * Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (Y1 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y2^-4 * Y3, Y3 * Y1^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 4, 28, 5, 29)(3, 27, 11, 35, 14, 38, 17, 41, 13, 37, 9, 33)(6, 30, 16, 40, 20, 44, 8, 32, 15, 39, 18, 42)(12, 36, 21, 45, 19, 43, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 60, 84, 63, 87, 52, 76, 61, 85, 72, 96, 68, 92, 55, 79, 62, 86, 67, 91, 54, 78)(50, 74, 56, 80, 69, 93, 65, 89, 53, 77, 64, 88, 71, 95, 59, 83, 58, 82, 66, 90, 70, 94, 57, 81)
	L = (1, 52)(2, 53)(3, 61)(4, 55)(5, 58)(6, 63)(7, 49)(8, 64)(9, 65)(10, 50)(11, 57)(12, 72)(13, 62)(14, 51)(15, 68)(16, 66)(17, 59)(18, 56)(19, 60)(20, 54)(21, 71)(22, 69)(23, 70)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.186
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 6, 6, 12})
Quotient :: dipole
Aut^+ = C3 x D8 (small group id <24, 10>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, (Y1 * Y2^-1)^2, Y3^2 * Y1^-2, (R * Y3)^2, (R * Y2)^2, (Y3, Y1^-1), (R * Y1)^2, Y1^6, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3^6 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 21, 45, 17, 41, 5, 29)(3, 27, 13, 37, 15, 39, 18, 42, 24, 48, 11, 35)(4, 28, 10, 34, 22, 46, 19, 43, 7, 31, 12, 36)(6, 30, 16, 40, 23, 47, 9, 33, 14, 38, 20, 44)(49, 73, 51, 75, 55, 79, 62, 86, 65, 89, 72, 96, 70, 94, 71, 95, 56, 80, 63, 87, 52, 76, 54, 78)(50, 74, 57, 81, 60, 84, 66, 90, 53, 77, 64, 88, 67, 91, 61, 85, 69, 93, 68, 92, 58, 82, 59, 83)
	L = (1, 52)(2, 58)(3, 54)(4, 56)(5, 60)(6, 63)(7, 49)(8, 70)(9, 59)(10, 69)(11, 68)(12, 50)(13, 64)(14, 51)(15, 71)(16, 66)(17, 55)(18, 57)(19, 53)(20, 61)(21, 67)(22, 65)(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) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.187
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.190 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 8, 8, 12})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y1^2 * Y3^-3, Y1 * Y3^-1 * Y1 * Y3^2, Y3 * Y1^3 * Y3 * Y1, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 6, 30, 19, 43, 21, 45, 24, 48, 22, 46, 20, 44, 13, 37, 17, 41, 5, 29)(2, 26, 7, 31, 11, 35, 18, 42, 16, 40, 9, 33, 23, 47, 15, 39, 14, 38, 4, 28, 12, 36, 8, 32)(49, 50, 54, 66, 72, 71, 61, 52)(51, 57, 67, 62, 70, 56, 65, 59)(53, 63, 58, 60, 69, 55, 68, 64)(73, 74, 78, 90, 96, 95, 85, 76)(75, 81, 91, 86, 94, 80, 89, 83)(77, 87, 82, 84, 93, 79, 92, 88)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^8 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E17.196
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.191 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 8, 8, 12})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-1 * Y2^-1, (Y1^-1 * Y2)^2, Y1^-1 * Y2^2 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1, Y2), Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 15, 39, 9, 33, 22, 46, 23, 47, 11, 35, 24, 48, 21, 45, 8, 32, 20, 44, 7, 31)(2, 26, 10, 34, 17, 41, 5, 29, 18, 42, 14, 38, 3, 27, 13, 37, 16, 40, 6, 30, 19, 43, 12, 36)(49, 50, 56, 54, 59, 51, 57, 53)(52, 62, 68, 65, 72, 60, 70, 64)(55, 61, 69, 66, 71, 58, 63, 67)(73, 75, 80, 77, 83, 74, 81, 78)(76, 84, 92, 88, 96, 86, 94, 89)(79, 82, 93, 91, 95, 85, 87, 90)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^8 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E17.197
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.192 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 8, 8, 12})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^8, Y1^8, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 5, 29)(2, 26, 7, 31, 8, 32)(4, 28, 10, 34, 9, 33)(6, 30, 13, 37, 14, 38)(11, 35, 15, 39, 16, 40)(12, 36, 19, 43, 20, 44)(17, 41, 22, 46, 21, 45)(18, 42, 23, 47, 24, 48)(49, 50, 54, 60, 66, 65, 59, 52)(51, 56, 61, 68, 71, 69, 63, 57)(53, 55, 62, 67, 72, 70, 64, 58)(73, 74, 78, 84, 90, 89, 83, 76)(75, 80, 85, 92, 95, 93, 87, 81)(77, 79, 86, 91, 96, 94, 88, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.194
Graph:: simple bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 6^8, 8^6 ]

E17.193 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 8, 8, 12})
Quotient :: edge^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-3 * Y2^-1, (Y2^-1 * Y1)^2, Y2^-3 * Y1^-1, Y2 * Y1^-2 * Y2, (Y1, Y2^-1), R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 7, 31)(2, 26, 10, 34, 12, 36)(3, 27, 13, 37, 14, 38)(5, 29, 17, 41, 15, 39)(6, 30, 18, 42, 16, 40)(8, 32, 19, 43, 20, 44)(9, 33, 21, 45, 22, 46)(11, 35, 24, 48, 23, 47)(49, 50, 56, 54, 59, 51, 57, 53)(52, 60, 67, 64, 72, 62, 69, 63)(55, 58, 68, 66, 71, 61, 70, 65)(73, 75, 80, 77, 83, 74, 81, 78)(76, 86, 91, 87, 96, 84, 93, 88)(79, 85, 92, 89, 95, 82, 94, 90)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.195
Graph:: simple bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 6^8, 8^6 ]

E17.194 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 8, 8, 12})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, R * Y1 * R * Y2, (R * Y3)^2, Y1^2 * Y3^-3, Y1 * Y3^-1 * Y1 * Y3^2, Y3 * Y1^3 * Y3 * Y1, Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^8, (Y1^-1 * Y3^-1 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 6, 30, 54, 78, 19, 43, 67, 91, 21, 45, 69, 93, 24, 48, 72, 96, 22, 46, 70, 94, 20, 44, 68, 92, 13, 37, 61, 85, 17, 41, 65, 89, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 11, 35, 59, 83, 18, 42, 66, 90, 16, 40, 64, 88, 9, 33, 57, 81, 23, 47, 71, 95, 15, 39, 63, 87, 14, 38, 62, 86, 4, 28, 52, 76, 12, 36, 60, 84, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 39)(6, 42)(7, 44)(8, 41)(9, 43)(10, 36)(11, 27)(12, 45)(13, 28)(14, 46)(15, 34)(16, 29)(17, 35)(18, 48)(19, 38)(20, 40)(21, 31)(22, 32)(23, 37)(24, 47)(49, 74)(50, 78)(51, 81)(52, 73)(53, 87)(54, 90)(55, 92)(56, 89)(57, 91)(58, 84)(59, 75)(60, 93)(61, 76)(62, 94)(63, 82)(64, 77)(65, 83)(66, 96)(67, 86)(68, 88)(69, 79)(70, 80)(71, 85)(72, 95)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.192
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.195 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 8, 8, 12})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-1 * Y2^-1, (Y1^-1 * Y2)^2, Y1^-1 * Y2^2 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3, Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1, Y2), Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 15, 39, 63, 87, 9, 33, 57, 81, 22, 46, 70, 94, 23, 47, 71, 95, 11, 35, 59, 83, 24, 48, 72, 96, 21, 45, 69, 93, 8, 32, 56, 80, 20, 44, 68, 92, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 17, 41, 65, 89, 5, 29, 53, 77, 18, 42, 66, 90, 14, 38, 62, 86, 3, 27, 51, 75, 13, 37, 61, 85, 16, 40, 64, 88, 6, 30, 54, 78, 19, 43, 67, 91, 12, 36, 60, 84)
	L = (1, 26)(2, 32)(3, 33)(4, 38)(5, 25)(6, 35)(7, 37)(8, 30)(9, 29)(10, 39)(11, 27)(12, 46)(13, 45)(14, 44)(15, 43)(16, 28)(17, 48)(18, 47)(19, 31)(20, 41)(21, 42)(22, 40)(23, 34)(24, 36)(49, 75)(50, 81)(51, 80)(52, 84)(53, 83)(54, 73)(55, 82)(56, 77)(57, 78)(58, 93)(59, 74)(60, 92)(61, 87)(62, 94)(63, 90)(64, 96)(65, 76)(66, 79)(67, 95)(68, 88)(69, 91)(70, 89)(71, 85)(72, 86)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.193
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.196 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 8, 8, 12})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, Y3^3, (R * Y3)^2, R * Y2 * R * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^8, Y1^8, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 8, 32, 56, 80)(4, 28, 52, 76, 10, 34, 58, 82, 9, 33, 57, 81)(6, 30, 54, 78, 13, 37, 61, 85, 14, 38, 62, 86)(11, 35, 59, 83, 15, 39, 63, 87, 16, 40, 64, 88)(12, 36, 60, 84, 19, 43, 67, 91, 20, 44, 68, 92)(17, 41, 65, 89, 22, 46, 70, 94, 21, 45, 69, 93)(18, 42, 66, 90, 23, 47, 71, 95, 24, 48, 72, 96)
	L = (1, 26)(2, 30)(3, 32)(4, 25)(5, 31)(6, 36)(7, 38)(8, 37)(9, 27)(10, 29)(11, 28)(12, 42)(13, 44)(14, 43)(15, 33)(16, 34)(17, 35)(18, 41)(19, 48)(20, 47)(21, 39)(22, 40)(23, 45)(24, 46)(49, 74)(50, 78)(51, 80)(52, 73)(53, 79)(54, 84)(55, 86)(56, 85)(57, 75)(58, 77)(59, 76)(60, 90)(61, 92)(62, 91)(63, 81)(64, 82)(65, 83)(66, 89)(67, 96)(68, 95)(69, 87)(70, 88)(71, 93)(72, 94)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.190
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.197 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 8, 8, 12})
Quotient :: loop^2
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x Q8) : C2 (small group id <48, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^3, Y1^-3 * Y2^-1, (Y2^-1 * Y1)^2, Y2^-3 * Y1^-1, Y2 * Y1^-2 * Y2, (Y1, Y2^-1), R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 12, 36, 60, 84)(3, 27, 51, 75, 13, 37, 61, 85, 14, 38, 62, 86)(5, 29, 53, 77, 17, 41, 65, 89, 15, 39, 63, 87)(6, 30, 54, 78, 18, 42, 66, 90, 16, 40, 64, 88)(8, 32, 56, 80, 19, 43, 67, 91, 20, 44, 68, 92)(9, 33, 57, 81, 21, 45, 69, 93, 22, 46, 70, 94)(11, 35, 59, 83, 24, 48, 72, 96, 23, 47, 71, 95)
	L = (1, 26)(2, 32)(3, 33)(4, 36)(5, 25)(6, 35)(7, 34)(8, 30)(9, 29)(10, 44)(11, 27)(12, 43)(13, 46)(14, 45)(15, 28)(16, 48)(17, 31)(18, 47)(19, 40)(20, 42)(21, 39)(22, 41)(23, 37)(24, 38)(49, 75)(50, 81)(51, 80)(52, 86)(53, 83)(54, 73)(55, 85)(56, 77)(57, 78)(58, 94)(59, 74)(60, 93)(61, 92)(62, 91)(63, 96)(64, 76)(65, 95)(66, 79)(67, 87)(68, 89)(69, 88)(70, 90)(71, 82)(72, 84)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.191
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3 * Y2, Y1^3, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3^-1, Y1), Y3^4, (R * Y3)^2, (R * Y2)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 8, 32)(4, 28, 9, 33, 15, 39)(6, 30, 17, 41, 10, 34)(7, 31, 11, 35, 18, 42)(13, 37, 22, 46, 19, 43)(14, 38, 20, 44, 23, 47)(16, 40, 24, 48, 21, 45)(49, 73, 51, 75, 55, 79, 61, 85, 62, 86, 64, 88, 52, 76, 54, 78)(50, 74, 56, 80, 59, 83, 67, 91, 68, 92, 69, 93, 57, 81, 58, 82)(53, 77, 60, 84, 66, 90, 70, 94, 71, 95, 72, 96, 63, 87, 65, 89)
	L = (1, 52)(2, 57)(3, 54)(4, 62)(5, 63)(6, 64)(7, 49)(8, 58)(9, 68)(10, 69)(11, 50)(12, 65)(13, 51)(14, 55)(15, 71)(16, 61)(17, 72)(18, 53)(19, 56)(20, 59)(21, 67)(22, 60)(23, 66)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.203
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^3, Y1 * Y2 * Y1 * Y2^-1, Y3^4, (R * Y2)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y3)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 8, 32)(4, 28, 9, 33, 15, 39)(6, 30, 16, 40, 10, 34)(7, 31, 11, 35, 17, 41)(13, 37, 22, 46, 19, 43)(14, 38, 20, 44, 23, 47)(18, 42, 24, 48, 21, 45)(49, 73, 51, 75, 52, 76, 61, 85, 62, 86, 66, 90, 55, 79, 54, 78)(50, 74, 56, 80, 57, 81, 67, 91, 68, 92, 69, 93, 59, 83, 58, 82)(53, 77, 60, 84, 63, 87, 70, 94, 71, 95, 72, 96, 65, 89, 64, 88)
	L = (1, 52)(2, 57)(3, 61)(4, 62)(5, 63)(6, 51)(7, 49)(8, 67)(9, 68)(10, 56)(11, 50)(12, 70)(13, 66)(14, 55)(15, 71)(16, 60)(17, 53)(18, 54)(19, 69)(20, 59)(21, 58)(22, 72)(23, 65)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.202
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y3^-1 * Y1 * Y2^-2, Y1^-1 * Y2^-1 * Y1^-1 * Y2, (R * Y3)^2, Y2^2 * Y3 * Y1^-1, (R * Y1)^2, R * Y2 * R * Y1^-1 * Y2, Y2^2 * Y3^-3, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3, (Y1 * Y3^-1)^4, (Y3 * Y2^-1)^8, (Y3^-1 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 8, 32)(4, 28, 9, 33, 16, 40)(6, 30, 13, 37, 10, 34)(7, 31, 11, 35, 18, 42)(14, 38, 24, 48, 20, 44)(15, 39, 22, 46, 21, 45)(17, 41, 23, 47, 19, 43)(49, 73, 51, 75, 59, 83, 72, 96, 70, 94, 71, 95, 64, 88, 54, 78)(50, 74, 56, 80, 66, 90, 62, 86, 69, 93, 65, 89, 52, 76, 58, 82)(53, 77, 60, 84, 55, 79, 68, 92, 63, 87, 67, 91, 57, 81, 61, 85)
	L = (1, 52)(2, 57)(3, 61)(4, 63)(5, 64)(6, 67)(7, 49)(8, 54)(9, 70)(10, 71)(11, 50)(12, 58)(13, 65)(14, 51)(15, 59)(16, 69)(17, 72)(18, 53)(19, 62)(20, 56)(21, 55)(22, 66)(23, 68)(24, 60)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.205
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-2 * Y1^-1 * Y3, (Y1, Y3^-1), Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^-4, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1, R * Y2 * R * Y2^-1 * Y3, Y1^-1 * Y2^4 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 12, 36, 8, 32)(4, 28, 9, 33, 13, 37)(6, 30, 17, 41, 10, 34)(7, 31, 11, 35, 18, 42)(14, 38, 15, 39, 22, 46)(16, 40, 23, 47, 21, 45)(19, 43, 24, 48, 20, 44)(49, 73, 51, 75, 61, 85, 70, 94, 71, 95, 72, 96, 59, 83, 54, 78)(50, 74, 56, 80, 52, 76, 63, 87, 69, 93, 67, 91, 66, 90, 58, 82)(53, 77, 60, 84, 57, 81, 62, 86, 64, 88, 68, 92, 55, 79, 65, 89)
	L = (1, 52)(2, 57)(3, 62)(4, 64)(5, 61)(6, 60)(7, 49)(8, 70)(9, 71)(10, 51)(11, 50)(12, 63)(13, 69)(14, 67)(15, 72)(16, 59)(17, 56)(18, 53)(19, 54)(20, 58)(21, 55)(22, 68)(23, 66)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.204
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-1, Y2^-3 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3^4, (R * Y2)^2, Y2^-2 * Y1^-1 * Y2 * Y1^-1, Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 16, 40, 17, 41, 4, 28, 5, 29)(3, 27, 11, 35, 15, 39, 20, 44, 24, 48, 9, 33, 13, 37, 14, 38)(6, 30, 21, 45, 12, 36, 19, 43, 23, 47, 8, 32, 18, 42, 22, 46)(49, 73, 51, 75, 60, 84, 55, 79, 63, 87, 71, 95, 64, 88, 72, 96, 66, 90, 52, 76, 61, 85, 54, 78)(50, 74, 56, 80, 62, 86, 58, 82, 70, 94, 59, 83, 65, 89, 69, 93, 68, 92, 53, 77, 67, 91, 57, 81)
	L = (1, 52)(2, 53)(3, 61)(4, 64)(5, 65)(6, 66)(7, 49)(8, 67)(9, 68)(10, 50)(11, 62)(12, 54)(13, 72)(14, 57)(15, 51)(16, 55)(17, 58)(18, 71)(19, 69)(20, 59)(21, 70)(22, 56)(23, 60)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.199
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 16^3, 24^2 ]

E17.203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-1, Y3 * Y2^3, (R * Y1)^2, (Y3^-1, Y2), Y3^4, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1 * Y3)^3, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 16, 40, 20, 44, 7, 31, 5, 29)(3, 27, 11, 35, 13, 37, 19, 43, 24, 48, 10, 34, 15, 39, 14, 38)(6, 30, 21, 45, 17, 41, 18, 42, 23, 47, 8, 32, 12, 36, 22, 46)(49, 73, 51, 75, 60, 84, 55, 79, 63, 87, 71, 95, 64, 88, 72, 96, 65, 89, 52, 76, 61, 85, 54, 78)(50, 74, 56, 80, 67, 91, 53, 77, 66, 90, 59, 83, 68, 92, 69, 93, 62, 86, 57, 81, 70, 94, 58, 82)
	L = (1, 52)(2, 57)(3, 61)(4, 64)(5, 50)(6, 65)(7, 49)(8, 70)(9, 68)(10, 62)(11, 67)(12, 54)(13, 72)(14, 59)(15, 51)(16, 55)(17, 71)(18, 56)(19, 58)(20, 53)(21, 66)(22, 69)(23, 60)(24, 63)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.198
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 16^3, 24^2 ]

E17.204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, (Y3, Y2^-1), Y1 * Y2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2^-1 * Y3 * Y1^2, Y3^-1 * Y1 * Y3^2 * Y1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1, Y2 * Y1^2 * Y2 * Y3^-1, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 23, 47, 14, 38, 24, 48, 20, 44, 5, 29)(3, 27, 10, 34, 19, 43, 21, 45, 7, 31, 11, 35, 17, 41, 15, 39)(4, 28, 9, 33, 16, 40, 22, 46, 6, 30, 12, 36, 13, 37, 18, 42)(49, 73, 51, 75, 61, 85, 56, 80, 67, 91, 52, 76, 62, 86, 55, 79, 64, 88, 68, 92, 65, 89, 54, 78)(50, 74, 57, 81, 63, 87, 71, 95, 70, 94, 58, 82, 72, 96, 60, 84, 69, 93, 53, 77, 66, 90, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 63)(6, 67)(7, 49)(8, 64)(9, 72)(10, 66)(11, 70)(12, 50)(13, 55)(14, 54)(15, 60)(16, 51)(17, 56)(18, 71)(19, 68)(20, 61)(21, 57)(22, 53)(23, 69)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.201
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 16^3, 24^2 ]

E17.205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C3 : C8 (small group id <24, 1>)
Aut   = (C3 x D8) : C2 (small group id <48, 15>)
|r| :: 2
Presentation :: [ R^2, (Y2^-1, Y3), (R * Y2)^2, Y3^-2 * Y2^-2, Y1 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y2)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1^-1 * Y3, (R * Y1)^2, Y2 * Y1^2 * Y3^-2, Y3 * Y1 * Y2^2 * Y1, Y3 * Y1 * Y3^-1 * Y1 * Y2^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 23, 47, 14, 38, 24, 48, 20, 44, 5, 29)(3, 27, 10, 34, 17, 41, 21, 45, 7, 31, 11, 35, 19, 43, 15, 39)(4, 28, 9, 33, 13, 37, 22, 46, 6, 30, 12, 36, 16, 40, 18, 42)(49, 73, 51, 75, 61, 85, 68, 92, 67, 91, 52, 76, 62, 86, 55, 79, 64, 88, 56, 80, 65, 89, 54, 78)(50, 74, 57, 81, 69, 93, 53, 77, 66, 90, 58, 82, 72, 96, 60, 84, 63, 87, 71, 95, 70, 94, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 65)(5, 63)(6, 67)(7, 49)(8, 61)(9, 72)(10, 70)(11, 66)(12, 50)(13, 55)(14, 54)(15, 57)(16, 51)(17, 68)(18, 71)(19, 56)(20, 64)(21, 60)(22, 53)(23, 69)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.200
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 16^3, 24^2 ]

E17.206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^-1, Y1^3, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y3^4, (R * Y3)^2, (Y1, Y3^-1) ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 13, 37)(4, 28, 9, 33, 15, 39)(6, 30, 10, 34, 16, 40)(7, 31, 11, 35, 17, 41)(12, 36, 19, 43, 22, 46)(14, 38, 20, 44, 23, 47)(18, 42, 21, 45, 24, 48)(49, 73, 51, 75, 52, 76, 60, 84, 62, 86, 66, 90, 55, 79, 54, 78)(50, 74, 56, 80, 57, 81, 67, 91, 68, 92, 69, 93, 59, 83, 58, 82)(53, 77, 61, 85, 63, 87, 70, 94, 71, 95, 72, 96, 65, 89, 64, 88)
	L = (1, 52)(2, 57)(3, 60)(4, 62)(5, 63)(6, 51)(7, 49)(8, 67)(9, 68)(10, 56)(11, 50)(12, 66)(13, 70)(14, 55)(15, 71)(16, 61)(17, 53)(18, 54)(19, 69)(20, 59)(21, 58)(22, 72)(23, 65)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.209
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.207 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3, Y1^3, (R * Y3)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y2)^2, (Y1, Y2^-1), Y3^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 12, 36)(4, 28, 9, 33, 15, 39)(6, 30, 10, 34, 17, 41)(7, 31, 11, 35, 18, 42)(13, 37, 19, 43, 22, 46)(14, 38, 20, 44, 23, 47)(16, 40, 21, 45, 24, 48)(49, 73, 51, 75, 55, 79, 61, 85, 62, 86, 64, 88, 52, 76, 54, 78)(50, 74, 56, 80, 59, 83, 67, 91, 68, 92, 69, 93, 57, 81, 58, 82)(53, 77, 60, 84, 66, 90, 70, 94, 71, 95, 72, 96, 63, 87, 65, 89)
	L = (1, 52)(2, 57)(3, 54)(4, 62)(5, 63)(6, 64)(7, 49)(8, 58)(9, 68)(10, 69)(11, 50)(12, 65)(13, 51)(14, 55)(15, 71)(16, 61)(17, 72)(18, 53)(19, 56)(20, 59)(21, 67)(22, 60)(23, 66)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 24, 16, 24, 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.208
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.208 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3, (Y2^-1, Y3), Y2^3 * Y3, (Y2, Y1^-1), (R * Y3)^2, (R * Y2)^2, Y3^4, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 9, 33, 15, 39, 18, 42, 7, 31, 5, 29)(3, 27, 8, 32, 12, 36, 19, 43, 23, 47, 24, 48, 14, 38, 13, 37)(6, 30, 10, 34, 16, 40, 20, 44, 22, 46, 21, 45, 11, 35, 17, 41)(49, 73, 51, 75, 59, 83, 55, 79, 62, 86, 70, 94, 63, 87, 71, 95, 64, 88, 52, 76, 60, 84, 54, 78)(50, 74, 56, 80, 65, 89, 53, 77, 61, 85, 69, 93, 66, 90, 72, 96, 68, 92, 57, 81, 67, 91, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 50)(6, 64)(7, 49)(8, 67)(9, 66)(10, 68)(11, 54)(12, 71)(13, 56)(14, 51)(15, 55)(16, 70)(17, 58)(18, 53)(19, 72)(20, 69)(21, 65)(22, 59)(23, 62)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.207
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 16^3, 24^2 ]

E17.209 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 8, 8, 12})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1, Y2^-1 * Y3^-1 * Y2^-2, (Y1^-1, Y2^-1), Y3^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 15, 39, 16, 40, 4, 28, 5, 29)(3, 27, 8, 32, 14, 38, 20, 44, 22, 46, 23, 47, 12, 36, 13, 37)(6, 30, 9, 33, 11, 35, 19, 43, 21, 45, 24, 48, 17, 41, 18, 42)(49, 73, 51, 75, 59, 83, 55, 79, 62, 86, 69, 93, 63, 87, 70, 94, 65, 89, 52, 76, 60, 84, 54, 78)(50, 74, 56, 80, 67, 91, 58, 82, 68, 92, 72, 96, 64, 88, 71, 95, 66, 90, 53, 77, 61, 85, 57, 81)
	L = (1, 52)(2, 53)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 61)(9, 66)(10, 50)(11, 54)(12, 70)(13, 71)(14, 51)(15, 55)(16, 58)(17, 69)(18, 72)(19, 57)(20, 56)(21, 59)(22, 62)(23, 68)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.206
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 16^3, 24^2 ]

E17.210 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (Y1^-1 * Y2)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y2^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 11, 35, 19, 43, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 20, 44, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 23, 47, 18, 42, 10, 34, 3, 27, 9, 33, 17, 41, 24, 48, 16, 40, 8, 32)(49, 50, 54, 51)(52, 56, 61, 58)(53, 55, 62, 57)(59, 64, 69, 66)(60, 63, 70, 65)(67, 72, 68, 71)(73, 75, 78, 74)(76, 82, 85, 80)(77, 81, 86, 79)(83, 90, 93, 88)(84, 89, 94, 87)(91, 95, 92, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.215
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.211 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y3^-2 * Y2 * Y1^-1, Y1^4, Y3 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1^-2 * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 14, 38, 23, 47, 9, 33, 20, 44, 8, 32, 19, 43, 13, 37, 24, 48, 11, 35, 7, 31)(2, 26, 10, 34, 22, 46, 17, 41, 6, 30, 16, 40, 5, 29, 18, 42, 21, 45, 15, 39, 3, 27, 12, 36)(49, 50, 56, 53)(51, 61, 54, 62)(52, 60, 67, 64)(55, 58, 68, 66)(57, 69, 59, 70)(63, 72, 65, 71)(73, 75, 80, 78)(74, 81, 77, 83)(76, 87, 91, 89)(79, 84, 92, 88)(82, 95, 90, 96)(85, 94, 86, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.216
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.212 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^-1 * Y1^-1, Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^2 * Y3^-1 * Y2^-1 * Y3 * Y1^-3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 12, 36, 5, 29)(2, 26, 7, 31, 16, 40, 8, 32)(3, 27, 10, 34, 20, 44, 11, 35)(6, 30, 14, 38, 24, 48, 15, 39)(9, 33, 18, 42, 21, 45, 19, 43)(13, 37, 22, 46, 17, 41, 23, 47)(49, 50, 54, 61, 69, 68, 60, 64, 72, 65, 57, 51)(52, 59, 66, 70, 63, 55, 53, 58, 67, 71, 62, 56)(73, 75, 81, 89, 96, 88, 84, 92, 93, 85, 78, 74)(76, 80, 86, 95, 91, 82, 77, 79, 87, 94, 90, 83)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.217
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.213 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^4, Y2 * Y3^2 * Y1 * Y3^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-3, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 12, 36, 5, 29)(2, 26, 7, 31, 16, 40, 8, 32)(3, 27, 10, 34, 20, 44, 11, 35)(6, 30, 14, 38, 24, 48, 15, 39)(9, 33, 18, 42, 21, 45, 19, 43)(13, 37, 22, 46, 17, 41, 23, 47)(49, 50, 54, 61, 69, 68, 60, 64, 72, 65, 57, 51)(52, 58, 66, 71, 63, 56, 53, 59, 67, 70, 62, 55)(73, 75, 81, 89, 96, 88, 84, 92, 93, 85, 78, 74)(76, 79, 86, 94, 91, 83, 77, 80, 87, 95, 90, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.218
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.214 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3, Y1^-1 * Y3^2 * Y2^-1, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, (R * Y3)^2, (Y1, Y2^-1), R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-3 * Y2^3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 9, 33, 7, 31)(2, 26, 10, 34, 6, 30, 12, 36)(3, 27, 14, 38, 5, 29, 16, 40)(8, 32, 18, 42, 11, 35, 20, 44)(13, 37, 21, 45, 15, 39, 22, 46)(17, 41, 23, 47, 19, 43, 24, 48)(49, 50, 56, 65, 63, 51, 57, 54, 59, 67, 61, 53)(52, 64, 69, 72, 68, 60, 55, 62, 70, 71, 66, 58)(73, 75, 85, 89, 83, 74, 81, 77, 87, 91, 80, 78)(76, 84, 90, 96, 94, 88, 79, 82, 92, 95, 93, 86)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.219
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.215 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (Y1^-1 * Y2)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^4, Y2^4, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 11, 35, 59, 83, 19, 43, 67, 91, 22, 46, 70, 94, 14, 38, 62, 86, 6, 30, 54, 78, 13, 37, 61, 85, 21, 45, 69, 93, 20, 44, 68, 92, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 23, 47, 71, 95, 18, 42, 66, 90, 10, 34, 58, 82, 3, 27, 51, 75, 9, 33, 57, 81, 17, 41, 65, 89, 24, 48, 72, 96, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 25)(4, 32)(5, 31)(6, 27)(7, 38)(8, 37)(9, 29)(10, 28)(11, 40)(12, 39)(13, 34)(14, 33)(15, 46)(16, 45)(17, 36)(18, 35)(19, 48)(20, 47)(21, 42)(22, 41)(23, 43)(24, 44)(49, 75)(50, 73)(51, 78)(52, 82)(53, 81)(54, 74)(55, 77)(56, 76)(57, 86)(58, 85)(59, 90)(60, 89)(61, 80)(62, 79)(63, 84)(64, 83)(65, 94)(66, 93)(67, 95)(68, 96)(69, 88)(70, 87)(71, 92)(72, 91)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.210
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.216 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y3^-2 * Y2 * Y1^-1, Y1^4, Y3 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y1^-2 * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 14, 38, 62, 86, 23, 47, 71, 95, 9, 33, 57, 81, 20, 44, 68, 92, 8, 32, 56, 80, 19, 43, 67, 91, 13, 37, 61, 85, 24, 48, 72, 96, 11, 35, 59, 83, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 22, 46, 70, 94, 17, 41, 65, 89, 6, 30, 54, 78, 16, 40, 64, 88, 5, 29, 53, 77, 18, 42, 66, 90, 21, 45, 69, 93, 15, 39, 63, 87, 3, 27, 51, 75, 12, 36, 60, 84)
	L = (1, 26)(2, 32)(3, 37)(4, 36)(5, 25)(6, 38)(7, 34)(8, 29)(9, 45)(10, 44)(11, 46)(12, 43)(13, 30)(14, 27)(15, 48)(16, 28)(17, 47)(18, 31)(19, 40)(20, 42)(21, 35)(22, 33)(23, 39)(24, 41)(49, 75)(50, 81)(51, 80)(52, 87)(53, 83)(54, 73)(55, 84)(56, 78)(57, 77)(58, 95)(59, 74)(60, 92)(61, 94)(62, 93)(63, 91)(64, 79)(65, 76)(66, 96)(67, 89)(68, 88)(69, 85)(70, 86)(71, 90)(72, 82)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.211
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.217 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y2^-1 * Y1^-1, Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2^-1, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^2 * Y3^-1 * Y2^-1 * Y3 * Y1^-3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 20, 44, 68, 92, 11, 35, 59, 83)(6, 30, 54, 78, 14, 38, 62, 86, 24, 48, 72, 96, 15, 39, 63, 87)(9, 33, 57, 81, 18, 42, 66, 90, 21, 45, 69, 93, 19, 43, 67, 91)(13, 37, 61, 85, 22, 46, 70, 94, 17, 41, 65, 89, 23, 47, 71, 95)
	L = (1, 26)(2, 30)(3, 25)(4, 35)(5, 34)(6, 37)(7, 29)(8, 28)(9, 27)(10, 43)(11, 42)(12, 40)(13, 45)(14, 32)(15, 31)(16, 48)(17, 33)(18, 46)(19, 47)(20, 36)(21, 44)(22, 39)(23, 38)(24, 41)(49, 75)(50, 73)(51, 81)(52, 80)(53, 79)(54, 74)(55, 87)(56, 86)(57, 89)(58, 77)(59, 76)(60, 92)(61, 78)(62, 95)(63, 94)(64, 84)(65, 96)(66, 83)(67, 82)(68, 93)(69, 85)(70, 90)(71, 91)(72, 88)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.212
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.218 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^4, Y2 * Y3^2 * Y1 * Y3^2, Y2^2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-3, Y1^12, Y2^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 20, 44, 68, 92, 11, 35, 59, 83)(6, 30, 54, 78, 14, 38, 62, 86, 24, 48, 72, 96, 15, 39, 63, 87)(9, 33, 57, 81, 18, 42, 66, 90, 21, 45, 69, 93, 19, 43, 67, 91)(13, 37, 61, 85, 22, 46, 70, 94, 17, 41, 65, 89, 23, 47, 71, 95)
	L = (1, 26)(2, 30)(3, 25)(4, 34)(5, 35)(6, 37)(7, 28)(8, 29)(9, 27)(10, 42)(11, 43)(12, 40)(13, 45)(14, 31)(15, 32)(16, 48)(17, 33)(18, 47)(19, 46)(20, 36)(21, 44)(22, 38)(23, 39)(24, 41)(49, 75)(50, 73)(51, 81)(52, 79)(53, 80)(54, 74)(55, 86)(56, 87)(57, 89)(58, 76)(59, 77)(60, 92)(61, 78)(62, 94)(63, 95)(64, 84)(65, 96)(66, 82)(67, 83)(68, 93)(69, 85)(70, 91)(71, 90)(72, 88)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.213
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.219 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^-2, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3, Y1^-1 * Y3^2 * Y2^-1, Y3^-2 * Y2^-1 * Y1^-1, Y3^4, (R * Y3)^2, (Y1, Y2^-1), R * Y1 * R * Y2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-3 * Y2^3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 9, 33, 57, 81, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 6, 30, 54, 78, 12, 36, 60, 84)(3, 27, 51, 75, 14, 38, 62, 86, 5, 29, 53, 77, 16, 40, 64, 88)(8, 32, 56, 80, 18, 42, 66, 90, 11, 35, 59, 83, 20, 44, 68, 92)(13, 37, 61, 85, 21, 45, 69, 93, 15, 39, 63, 87, 22, 46, 70, 94)(17, 41, 65, 89, 23, 47, 71, 95, 19, 43, 67, 91, 24, 48, 72, 96)
	L = (1, 26)(2, 32)(3, 33)(4, 40)(5, 25)(6, 35)(7, 38)(8, 41)(9, 30)(10, 28)(11, 43)(12, 31)(13, 29)(14, 46)(15, 27)(16, 45)(17, 39)(18, 34)(19, 37)(20, 36)(21, 48)(22, 47)(23, 42)(24, 44)(49, 75)(50, 81)(51, 85)(52, 84)(53, 87)(54, 73)(55, 82)(56, 78)(57, 77)(58, 92)(59, 74)(60, 90)(61, 89)(62, 76)(63, 91)(64, 79)(65, 83)(66, 96)(67, 80)(68, 95)(69, 86)(70, 88)(71, 93)(72, 94)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.214
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2^-5 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
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, 21, 45, 18, 42)(12, 36, 15, 39, 22, 46, 19, 43)(17, 41, 24, 48, 20, 44, 23, 47)(49, 73, 51, 75, 57, 81, 65, 89, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 66, 90, 58, 82, 52, 76, 59, 83, 67, 91, 72, 96, 64, 88, 56, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y2^6 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 8, 32, 10, 34, 11, 35)(6, 30, 7, 31, 12, 36, 13, 37)(9, 33, 16, 40, 18, 42, 19, 43)(14, 38, 15, 39, 20, 44, 21, 45)(17, 41, 24, 48, 22, 46, 23, 47)(49, 73, 51, 75, 57, 81, 65, 89, 68, 92, 60, 84, 52, 76, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78)(50, 74, 55, 79, 63, 87, 71, 95, 67, 91, 59, 83, 53, 77, 61, 85, 69, 93, 72, 96, 64, 88, 56, 80)
	L = (1, 52)(2, 53)(3, 58)(4, 49)(5, 50)(6, 60)(7, 61)(8, 59)(9, 66)(10, 51)(11, 56)(12, 54)(13, 55)(14, 68)(15, 69)(16, 67)(17, 70)(18, 57)(19, 64)(20, 62)(21, 63)(22, 65)(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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3 * Y2^4, Y1^-2 * Y3^-1 * Y2^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 18, 42, 15, 39)(4, 28, 12, 36, 13, 37, 17, 41)(6, 30, 9, 33, 16, 40, 19, 43)(7, 31, 10, 34, 21, 45, 20, 44)(14, 38, 24, 48, 22, 46, 23, 47)(49, 73, 51, 75, 61, 85, 70, 94, 55, 79, 64, 88, 56, 80, 66, 90, 52, 76, 62, 86, 69, 93, 54, 78)(50, 74, 57, 81, 68, 92, 72, 96, 60, 84, 63, 87, 53, 77, 67, 91, 58, 82, 71, 95, 65, 89, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 55)(5, 68)(6, 66)(7, 49)(8, 61)(9, 71)(10, 60)(11, 67)(12, 50)(13, 69)(14, 64)(15, 57)(16, 51)(17, 53)(18, 70)(19, 72)(20, 65)(21, 56)(22, 54)(23, 63)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 : Q8 (small group id <24, 4>)
Aut   = (C12 x C2) : C2 (small group id <48, 37>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, Y3 * Y2^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-1, (R * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y3^2 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 11, 35, 21, 45, 14, 38)(4, 28, 12, 36, 20, 44, 16, 40)(6, 30, 9, 33, 22, 46, 17, 41)(7, 31, 10, 34, 15, 39, 18, 42)(13, 37, 24, 48, 19, 43, 23, 47)(49, 73, 51, 75, 52, 76, 61, 85, 63, 87, 70, 94, 56, 80, 69, 93, 68, 92, 67, 91, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 71, 95, 64, 88, 62, 86, 53, 77, 65, 89, 66, 90, 72, 96, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 66)(6, 51)(7, 49)(8, 68)(9, 71)(10, 64)(11, 57)(12, 50)(13, 70)(14, 65)(15, 56)(16, 53)(17, 72)(18, 60)(19, 54)(20, 55)(21, 67)(22, 69)(23, 62)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.224 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, (Y3^-1 * Y1)^2, Y2^4, Y3^2 * Y1 * Y3^2 * Y1^-1, Y3^5 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 18, 42, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 20, 44, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 23, 47, 17, 41, 9, 33, 4, 28, 11, 35, 19, 43, 24, 48, 16, 40, 8, 32)(49, 50, 54, 52)(51, 57, 61, 56)(53, 59, 62, 55)(58, 64, 69, 65)(60, 63, 70, 67)(66, 71, 68, 72)(73, 74, 78, 76)(75, 81, 85, 80)(77, 83, 86, 79)(82, 88, 93, 89)(84, 87, 94, 91)(90, 95, 92, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.228
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.225 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y2^4, Y3^5 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 3, 27, 10, 34, 18, 42, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 20, 44, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 23, 47, 19, 43, 11, 35, 4, 28, 9, 33, 17, 41, 24, 48, 16, 40, 8, 32)(49, 50, 54, 52)(51, 57, 61, 55)(53, 59, 62, 56)(58, 63, 69, 65)(60, 64, 70, 67)(66, 72, 68, 71)(73, 74, 78, 76)(75, 81, 85, 79)(77, 83, 86, 80)(82, 87, 93, 89)(84, 88, 94, 91)(90, 96, 92, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.229
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.226 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, (Y1^-1 * Y2)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y1^4, Y2^4, Y3^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 11, 35, 19, 43, 22, 46, 14, 38, 6, 30, 13, 37, 21, 45, 20, 44, 12, 36, 5, 29)(2, 26, 7, 31, 15, 39, 23, 47, 18, 42, 10, 34, 3, 27, 9, 33, 17, 41, 24, 48, 16, 40, 8, 32)(49, 50, 54, 51)(52, 58, 61, 56)(53, 57, 62, 55)(59, 64, 69, 66)(60, 63, 70, 65)(67, 71, 68, 72)(73, 75, 78, 74)(76, 80, 85, 82)(77, 79, 86, 81)(83, 90, 93, 88)(84, 89, 94, 87)(91, 96, 92, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.230
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.227 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-2 * Y2^-2, Y1 * Y2 * Y3^-2, Y3^2 * Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^4, (Y1, Y2^-1), (Y3 * Y1^-1)^2, Y3^-2 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-3 * Y2^3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 9, 33, 7, 31)(2, 26, 10, 34, 6, 30, 12, 36)(3, 27, 14, 38, 5, 29, 16, 40)(8, 32, 18, 42, 11, 35, 20, 44)(13, 37, 21, 45, 15, 39, 22, 46)(17, 41, 23, 47, 19, 43, 24, 48)(49, 50, 56, 65, 63, 51, 57, 54, 59, 67, 61, 53)(52, 62, 69, 71, 68, 58, 55, 64, 70, 72, 66, 60)(73, 75, 85, 89, 83, 74, 81, 77, 87, 91, 80, 78)(76, 82, 90, 95, 94, 86, 79, 84, 92, 96, 93, 88)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.231
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.228 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, (Y3^-1 * Y1)^2, Y2^4, Y3^2 * Y1 * Y3^2 * Y1^-1, Y3^5 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 18, 42, 66, 90, 22, 46, 70, 94, 14, 38, 62, 86, 6, 30, 54, 78, 13, 37, 61, 85, 21, 45, 69, 93, 20, 44, 68, 92, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 23, 47, 71, 95, 17, 41, 65, 89, 9, 33, 57, 81, 4, 28, 52, 76, 11, 35, 59, 83, 19, 43, 67, 91, 24, 48, 72, 96, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 35)(6, 28)(7, 29)(8, 27)(9, 37)(10, 40)(11, 38)(12, 39)(13, 32)(14, 31)(15, 46)(16, 45)(17, 34)(18, 47)(19, 36)(20, 48)(21, 41)(22, 43)(23, 44)(24, 42)(49, 74)(50, 78)(51, 81)(52, 73)(53, 83)(54, 76)(55, 77)(56, 75)(57, 85)(58, 88)(59, 86)(60, 87)(61, 80)(62, 79)(63, 94)(64, 93)(65, 82)(66, 95)(67, 84)(68, 96)(69, 89)(70, 91)(71, 92)(72, 90)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.224
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.229 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y2^4, Y3^5 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 3, 27, 51, 75, 10, 34, 58, 82, 18, 42, 66, 90, 22, 46, 70, 94, 14, 38, 62, 86, 6, 30, 54, 78, 13, 37, 61, 85, 21, 45, 69, 93, 20, 44, 68, 92, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 23, 47, 71, 95, 19, 43, 67, 91, 11, 35, 59, 83, 4, 28, 52, 76, 9, 33, 57, 81, 17, 41, 65, 89, 24, 48, 72, 96, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 33)(4, 25)(5, 35)(6, 28)(7, 27)(8, 29)(9, 37)(10, 39)(11, 38)(12, 40)(13, 31)(14, 32)(15, 45)(16, 46)(17, 34)(18, 48)(19, 36)(20, 47)(21, 41)(22, 43)(23, 42)(24, 44)(49, 74)(50, 78)(51, 81)(52, 73)(53, 83)(54, 76)(55, 75)(56, 77)(57, 85)(58, 87)(59, 86)(60, 88)(61, 79)(62, 80)(63, 93)(64, 94)(65, 82)(66, 96)(67, 84)(68, 95)(69, 89)(70, 91)(71, 90)(72, 92)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.225
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.230 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, (Y1^-1 * Y2)^2, R * Y2 * R * Y1, Y3^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y1^4, Y2^4, Y3^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3^5 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 11, 35, 59, 83, 19, 43, 67, 91, 22, 46, 70, 94, 14, 38, 62, 86, 6, 30, 54, 78, 13, 37, 61, 85, 21, 45, 69, 93, 20, 44, 68, 92, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 15, 39, 63, 87, 23, 47, 71, 95, 18, 42, 66, 90, 10, 34, 58, 82, 3, 27, 51, 75, 9, 33, 57, 81, 17, 41, 65, 89, 24, 48, 72, 96, 16, 40, 64, 88, 8, 32, 56, 80)
	L = (1, 26)(2, 30)(3, 25)(4, 34)(5, 33)(6, 27)(7, 29)(8, 28)(9, 38)(10, 37)(11, 40)(12, 39)(13, 32)(14, 31)(15, 46)(16, 45)(17, 36)(18, 35)(19, 47)(20, 48)(21, 42)(22, 41)(23, 44)(24, 43)(49, 75)(50, 73)(51, 78)(52, 80)(53, 79)(54, 74)(55, 86)(56, 85)(57, 77)(58, 76)(59, 90)(60, 89)(61, 82)(62, 81)(63, 84)(64, 83)(65, 94)(66, 93)(67, 96)(68, 95)(69, 88)(70, 87)(71, 91)(72, 92)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.226
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.231 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, Y1^-2 * Y2^-2, Y1 * Y2 * Y3^-2, Y3^2 * Y1^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1, Y3^4, (Y1, Y2^-1), (Y3 * Y1^-1)^2, Y3^-2 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1^-3 * Y2^3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 9, 33, 57, 81, 7, 31, 55, 79)(2, 26, 50, 74, 10, 34, 58, 82, 6, 30, 54, 78, 12, 36, 60, 84)(3, 27, 51, 75, 14, 38, 62, 86, 5, 29, 53, 77, 16, 40, 64, 88)(8, 32, 56, 80, 18, 42, 66, 90, 11, 35, 59, 83, 20, 44, 68, 92)(13, 37, 61, 85, 21, 45, 69, 93, 15, 39, 63, 87, 22, 46, 70, 94)(17, 41, 65, 89, 23, 47, 71, 95, 19, 43, 67, 91, 24, 48, 72, 96)
	L = (1, 26)(2, 32)(3, 33)(4, 38)(5, 25)(6, 35)(7, 40)(8, 41)(9, 30)(10, 31)(11, 43)(12, 28)(13, 29)(14, 45)(15, 27)(16, 46)(17, 39)(18, 36)(19, 37)(20, 34)(21, 47)(22, 48)(23, 44)(24, 42)(49, 75)(50, 81)(51, 85)(52, 82)(53, 87)(54, 73)(55, 84)(56, 78)(57, 77)(58, 90)(59, 74)(60, 92)(61, 89)(62, 79)(63, 91)(64, 76)(65, 83)(66, 95)(67, 80)(68, 96)(69, 88)(70, 86)(71, 94)(72, 93)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.227
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.232 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^2, Y1^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^5 * Y1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 9, 33, 13, 37, 8, 32)(5, 29, 11, 35, 14, 38, 7, 31)(10, 34, 16, 40, 21, 45, 17, 41)(12, 36, 15, 39, 22, 46, 19, 43)(18, 42, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 65, 89, 57, 81, 52, 76, 59, 83, 67, 91, 72, 96, 64, 88, 56, 80)
	L = (1, 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, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.233 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y3, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^6 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 9, 33, 11, 35, 8, 32)(6, 30, 13, 37, 12, 36, 7, 31)(10, 34, 16, 40, 19, 43, 17, 41)(14, 38, 15, 39, 20, 44, 21, 45)(18, 42, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 58, 82, 66, 90, 68, 92, 60, 84, 52, 76, 59, 83, 67, 91, 70, 94, 62, 86, 54, 78)(50, 74, 55, 79, 63, 87, 71, 95, 65, 89, 57, 81, 53, 77, 61, 85, 69, 93, 72, 96, 64, 88, 56, 80)
	L = (1, 52)(2, 53)(3, 59)(4, 49)(5, 50)(6, 60)(7, 61)(8, 57)(9, 56)(10, 67)(11, 51)(12, 54)(13, 55)(14, 68)(15, 69)(16, 65)(17, 64)(18, 70)(19, 58)(20, 62)(21, 63)(22, 66)(23, 72)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.234 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3^3, (Y2, Y3^-1), Y1^4, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, (Y2^-1 * Y1)^2, (Y1^-1 * Y2^-1)^2, Y1^-2 * Y3^-1 * Y2^2, Y1^-2 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1, Y3^-1 * Y2^-4, Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 18, 42, 11, 35)(4, 28, 12, 36, 14, 38, 17, 41)(6, 30, 19, 43, 16, 40, 9, 33)(7, 31, 10, 34, 21, 45, 20, 44)(15, 39, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 62, 86, 70, 94, 55, 79, 64, 88, 56, 80, 66, 90, 52, 76, 63, 87, 69, 93, 54, 78)(50, 74, 57, 81, 68, 92, 72, 96, 60, 84, 61, 85, 53, 77, 67, 91, 58, 82, 71, 95, 65, 89, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 55)(5, 68)(6, 66)(7, 49)(8, 62)(9, 71)(10, 60)(11, 67)(12, 50)(13, 57)(14, 69)(15, 64)(16, 51)(17, 53)(18, 70)(19, 72)(20, 65)(21, 56)(22, 54)(23, 61)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.235 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C4 x S3 (small group id <24, 5>)
Aut   = D8 x S3 (small group id <48, 38>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-2, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (Y1 * Y2^-1)^2, (Y2 * Y1)^2, Y1^4, Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 21, 45, 11, 35)(4, 28, 12, 36, 20, 44, 16, 40)(6, 30, 17, 41, 22, 46, 9, 33)(7, 31, 10, 34, 15, 39, 18, 42)(14, 38, 23, 47, 19, 43, 24, 48)(49, 73, 51, 75, 52, 76, 62, 86, 63, 87, 70, 94, 56, 80, 69, 93, 68, 92, 67, 91, 55, 79, 54, 78)(50, 74, 57, 81, 58, 82, 71, 95, 64, 88, 61, 85, 53, 77, 65, 89, 66, 90, 72, 96, 60, 84, 59, 83)
	L = (1, 52)(2, 58)(3, 62)(4, 63)(5, 66)(6, 51)(7, 49)(8, 68)(9, 71)(10, 64)(11, 57)(12, 50)(13, 65)(14, 70)(15, 56)(16, 53)(17, 72)(18, 60)(19, 54)(20, 55)(21, 67)(22, 69)(23, 61)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^-1 * Y2^-4 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 9, 33, 13, 37, 7, 31)(5, 29, 11, 35, 14, 38, 8, 32)(10, 34, 15, 39, 21, 45, 17, 41)(12, 36, 16, 40, 22, 46, 19, 43)(18, 42, 24, 48, 20, 44, 23, 47)(49, 73, 51, 75, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 67, 91, 59, 83, 52, 76, 57, 81, 65, 89, 72, 96, 64, 88, 56, 80)
	L = (1, 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, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, Y1 * Y3 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y2)^2, Y2^6 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 9, 33, 11, 35, 7, 31)(6, 30, 13, 37, 12, 36, 8, 32)(10, 34, 15, 39, 19, 43, 17, 41)(14, 38, 16, 40, 20, 44, 21, 45)(18, 42, 24, 48, 22, 46, 23, 47)(49, 73, 51, 75, 58, 82, 66, 90, 68, 92, 60, 84, 52, 76, 59, 83, 67, 91, 70, 94, 62, 86, 54, 78)(50, 74, 55, 79, 63, 87, 71, 95, 69, 93, 61, 85, 53, 77, 57, 81, 65, 89, 72, 96, 64, 88, 56, 80)
	L = (1, 52)(2, 53)(3, 59)(4, 49)(5, 50)(6, 60)(7, 57)(8, 61)(9, 55)(10, 67)(11, 51)(12, 54)(13, 56)(14, 68)(15, 65)(16, 69)(17, 63)(18, 70)(19, 58)(20, 62)(21, 64)(22, 66)(23, 72)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.238 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y3^2 * Y1^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y3^-1 * Y2, Y3^-1 * Y1^-1 * Y2^3, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 21, 45, 9, 33)(4, 28, 12, 36, 7, 31, 10, 34)(6, 30, 18, 42, 22, 46, 11, 35)(14, 38, 19, 43, 24, 48, 17, 41)(15, 39, 20, 44, 16, 40, 23, 47)(49, 73, 51, 75, 62, 86, 58, 82, 71, 95, 70, 94, 56, 80, 69, 93, 72, 96, 60, 84, 68, 92, 54, 78)(50, 74, 57, 81, 67, 91, 55, 79, 63, 87, 66, 90, 53, 77, 61, 85, 65, 89, 52, 76, 64, 88, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 56)(5, 60)(6, 67)(7, 49)(8, 55)(9, 68)(10, 53)(11, 72)(12, 50)(13, 71)(14, 59)(15, 69)(16, 51)(17, 54)(18, 62)(19, 70)(20, 61)(21, 64)(22, 65)(23, 57)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.239 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = (C4 x S3) : C2 (small group id <48, 41>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y3, Y2^-1 * Y1^-1 * Y3 * Y2^-2, Y1^-1 * Y2 * Y3 * Y2^2, Y2 * Y3^-1 * Y2^2 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 13, 37, 21, 45, 9, 33)(4, 28, 12, 36, 7, 31, 10, 34)(6, 30, 18, 42, 22, 46, 11, 35)(14, 38, 17, 41, 24, 48, 19, 43)(15, 39, 23, 47, 16, 40, 20, 44)(49, 73, 51, 75, 62, 86, 60, 84, 71, 95, 70, 94, 56, 80, 69, 93, 72, 96, 58, 82, 68, 92, 54, 78)(50, 74, 57, 81, 65, 89, 52, 76, 64, 88, 66, 90, 53, 77, 61, 85, 67, 91, 55, 79, 63, 87, 59, 83)
	L = (1, 52)(2, 58)(3, 63)(4, 56)(5, 60)(6, 67)(7, 49)(8, 55)(9, 71)(10, 53)(11, 62)(12, 50)(13, 68)(14, 66)(15, 69)(16, 51)(17, 54)(18, 72)(19, 70)(20, 57)(21, 64)(22, 65)(23, 61)(24, 59)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.240 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 12, 12})
Quotient :: edge^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y2^-1, Y2^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 4, 28, 12, 36, 5, 29)(2, 26, 7, 31, 16, 40, 8, 32)(3, 27, 10, 34, 20, 44, 11, 35)(6, 30, 14, 38, 24, 48, 15, 39)(9, 33, 18, 42, 21, 45, 19, 43)(13, 37, 22, 46, 17, 41, 23, 47)(49, 50, 54, 61, 69, 68, 60, 64, 72, 65, 57, 51)(52, 56, 62, 71, 67, 58, 53, 55, 63, 70, 66, 59)(73, 75, 81, 89, 96, 88, 84, 92, 93, 85, 78, 74)(76, 83, 90, 94, 87, 79, 77, 82, 91, 95, 86, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.241
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.241 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 12, 12})
Quotient :: loop^2
Aut^+ = C3 x Q8 (small group id <24, 11>)
Aut   = C3 x ((C4 x C2) : C2) (small group id <48, 47>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3 * Y1^-1 * Y3 * Y2^-1, Y2^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-3, Y2^12, Y1^12 ]
Map:: non-degenerate
	R = (1, 25, 49, 73, 4, 28, 52, 76, 12, 36, 60, 84, 5, 29, 53, 77)(2, 26, 50, 74, 7, 31, 55, 79, 16, 40, 64, 88, 8, 32, 56, 80)(3, 27, 51, 75, 10, 34, 58, 82, 20, 44, 68, 92, 11, 35, 59, 83)(6, 30, 54, 78, 14, 38, 62, 86, 24, 48, 72, 96, 15, 39, 63, 87)(9, 33, 57, 81, 18, 42, 66, 90, 21, 45, 69, 93, 19, 43, 67, 91)(13, 37, 61, 85, 22, 46, 70, 94, 17, 41, 65, 89, 23, 47, 71, 95)
	L = (1, 26)(2, 30)(3, 25)(4, 32)(5, 31)(6, 37)(7, 39)(8, 38)(9, 27)(10, 29)(11, 28)(12, 40)(13, 45)(14, 47)(15, 46)(16, 48)(17, 33)(18, 35)(19, 34)(20, 36)(21, 44)(22, 42)(23, 43)(24, 41)(49, 75)(50, 73)(51, 81)(52, 83)(53, 82)(54, 74)(55, 77)(56, 76)(57, 89)(58, 91)(59, 90)(60, 92)(61, 78)(62, 80)(63, 79)(64, 84)(65, 96)(66, 94)(67, 95)(68, 93)(69, 85)(70, 87)(71, 86)(72, 88)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.240
Transitivity :: VT+
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4, (R * Y2 * Y3^-1)^2, Y2^6 * Y1^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 25, 2, 26, 6, 30, 4, 28)(3, 27, 7, 31, 13, 37, 10, 34)(5, 29, 8, 32, 14, 38, 11, 35)(9, 33, 15, 39, 21, 45, 18, 42)(12, 36, 16, 40, 22, 46, 19, 43)(17, 41, 23, 47, 20, 44, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 70, 94, 62, 86, 54, 78, 61, 85, 69, 93, 68, 92, 60, 84, 53, 77)(50, 74, 55, 79, 63, 87, 71, 95, 67, 91, 59, 83, 52, 76, 58, 82, 66, 90, 72, 96, 64, 88, 56, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-3 * Y1^-1, (Y2, Y1), Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1^4, Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 16, 40, 13, 37)(4, 28, 9, 33, 17, 41, 14, 38)(6, 30, 10, 34, 18, 42, 11, 35)(12, 36, 19, 43, 23, 47, 22, 46)(15, 39, 20, 44, 24, 48, 21, 45)(49, 73, 51, 75, 59, 83, 53, 77, 61, 85, 66, 90, 55, 79, 64, 88, 58, 82, 50, 74, 56, 80, 54, 78)(52, 76, 60, 84, 69, 93, 62, 86, 70, 94, 72, 96, 65, 89, 71, 95, 68, 92, 57, 81, 67, 91, 63, 87)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 65)(8, 67)(9, 50)(10, 68)(11, 69)(12, 51)(13, 70)(14, 53)(15, 54)(16, 71)(17, 55)(18, 72)(19, 56)(20, 58)(21, 59)(22, 61)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y1^4, (Y1^-1 * Y2^-1)^3, Y3 * Y2^2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 16, 40, 12, 36)(4, 28, 9, 33, 17, 41, 13, 37)(6, 30, 10, 34, 18, 42, 15, 39)(11, 35, 19, 43, 23, 47, 21, 45)(14, 38, 20, 44, 24, 48, 22, 46)(49, 73, 51, 75, 58, 82, 50, 74, 56, 80, 66, 90, 55, 79, 64, 88, 63, 87, 53, 77, 60, 84, 54, 78)(52, 76, 59, 83, 68, 92, 57, 81, 67, 91, 72, 96, 65, 89, 71, 95, 70, 94, 61, 85, 69, 93, 62, 86)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 61)(6, 62)(7, 65)(8, 67)(9, 50)(10, 68)(11, 51)(12, 69)(13, 53)(14, 54)(15, 70)(16, 71)(17, 55)(18, 72)(19, 56)(20, 58)(21, 60)(22, 63)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (Y1^-1, Y2^-1), Y1^4, (R * Y2)^2, Y3 * Y2^3 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 18, 42, 13, 37)(4, 28, 9, 33, 19, 43, 14, 38)(6, 30, 10, 34, 20, 44, 16, 40)(11, 35, 15, 39, 21, 45, 23, 47)(12, 36, 17, 41, 22, 46, 24, 48)(49, 73, 51, 75, 59, 83, 62, 86, 72, 96, 68, 92, 55, 79, 66, 90, 69, 93, 57, 81, 65, 89, 54, 78)(50, 74, 56, 80, 63, 87, 52, 76, 60, 84, 64, 88, 53, 77, 61, 85, 71, 95, 67, 91, 70, 94, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 67)(8, 65)(9, 50)(10, 69)(11, 64)(12, 51)(13, 72)(14, 53)(15, 54)(16, 59)(17, 56)(18, 70)(19, 55)(20, 71)(21, 58)(22, 66)(23, 68)(24, 61)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.246 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y1^-1 * Y2 * Y3 * Y2^2, Y2^-1 * Y1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 5, 29)(3, 27, 8, 32, 18, 42, 13, 37)(4, 28, 9, 33, 19, 43, 14, 38)(6, 30, 10, 34, 20, 44, 16, 40)(11, 35, 21, 45, 23, 47, 15, 39)(12, 36, 22, 46, 24, 48, 17, 41)(49, 73, 51, 75, 59, 83, 57, 81, 70, 94, 68, 92, 55, 79, 66, 90, 71, 95, 62, 86, 65, 89, 54, 78)(50, 74, 56, 80, 69, 93, 67, 91, 72, 96, 64, 88, 53, 77, 61, 85, 63, 87, 52, 76, 60, 84, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 62)(6, 63)(7, 67)(8, 70)(9, 50)(10, 59)(11, 58)(12, 51)(13, 65)(14, 53)(15, 54)(16, 71)(17, 61)(18, 72)(19, 55)(20, 69)(21, 68)(22, 56)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.247 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y1)^2, (Y1^-1, Y2^-1), Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2^6 * Y3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 4, 28, 5, 29)(3, 27, 7, 31, 10, 34, 11, 35)(6, 30, 8, 32, 12, 36, 13, 37)(9, 33, 15, 39, 18, 42, 19, 43)(14, 38, 16, 40, 20, 44, 21, 45)(17, 41, 23, 47, 22, 46, 24, 48)(49, 73, 51, 75, 57, 81, 65, 89, 68, 92, 60, 84, 52, 76, 58, 82, 66, 90, 70, 94, 62, 86, 54, 78)(50, 74, 55, 79, 63, 87, 71, 95, 69, 93, 61, 85, 53, 77, 59, 83, 67, 91, 72, 96, 64, 88, 56, 80)
	L = (1, 52)(2, 53)(3, 58)(4, 49)(5, 50)(6, 60)(7, 59)(8, 61)(9, 66)(10, 51)(11, 55)(12, 54)(13, 56)(14, 68)(15, 67)(16, 69)(17, 70)(18, 57)(19, 63)(20, 62)(21, 64)(22, 65)(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) :: { ( 8, 24, 8, 24, 8, 24, 8, 24 ), ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.248 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, Y1^3, (Y3, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y1^-1), Y3^4, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 6, 30)(4, 28, 9, 33, 14, 38)(7, 31, 10, 34, 16, 40)(11, 35, 18, 42, 15, 39)(12, 36, 19, 43, 17, 41)(13, 37, 20, 44, 22, 46)(21, 45, 24, 48, 23, 47)(49, 73, 51, 75, 50, 74, 56, 80, 53, 77, 54, 78)(52, 76, 59, 83, 57, 81, 66, 90, 62, 86, 63, 87)(55, 79, 60, 84, 58, 82, 67, 91, 64, 88, 65, 89)(61, 85, 69, 93, 68, 92, 72, 96, 70, 94, 71, 95)
	L = (1, 52)(2, 57)(3, 59)(4, 61)(5, 62)(6, 63)(7, 49)(8, 66)(9, 68)(10, 50)(11, 69)(12, 51)(13, 55)(14, 70)(15, 71)(16, 53)(17, 54)(18, 72)(19, 56)(20, 58)(21, 60)(22, 64)(23, 65)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.255
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.249 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y1^-3, (R * Y2)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (Y2^-1, Y1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-3 * Y1^-1, Y2^2 * Y3 * Y2^2 * Y1^-1, Y3 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 4, 28, 9, 33, 5, 29)(3, 27, 8, 32, 17, 41, 12, 36, 20, 44, 13, 37)(6, 30, 10, 34, 18, 42, 14, 38, 21, 45, 15, 39)(11, 35, 19, 43, 16, 40, 22, 46, 24, 48, 23, 47)(49, 73, 51, 75, 59, 83, 69, 93, 57, 81, 68, 92, 72, 96, 66, 90, 55, 79, 65, 89, 64, 88, 54, 78)(50, 74, 56, 80, 67, 91, 63, 87, 53, 77, 61, 85, 71, 95, 62, 86, 52, 76, 60, 84, 70, 94, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 55)(6, 62)(7, 53)(8, 68)(9, 50)(10, 69)(11, 70)(12, 51)(13, 65)(14, 54)(15, 66)(16, 71)(17, 61)(18, 63)(19, 72)(20, 56)(21, 58)(22, 59)(23, 64)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.252
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-2 * Y3 * Y1^-1, (R * Y2)^2, (Y2, Y1^-1), Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 4, 28, 9, 33, 5, 29)(3, 27, 8, 32, 17, 41, 12, 36, 20, 44, 13, 37)(6, 30, 10, 34, 18, 42, 14, 38, 21, 45, 15, 39)(11, 35, 19, 43, 24, 48, 23, 47, 16, 40, 22, 46)(49, 73, 51, 75, 59, 83, 66, 90, 55, 79, 65, 89, 72, 96, 69, 93, 57, 81, 68, 92, 64, 88, 54, 78)(50, 74, 56, 80, 67, 91, 62, 86, 52, 76, 60, 84, 71, 95, 63, 87, 53, 77, 61, 85, 70, 94, 58, 82)
	L = (1, 52)(2, 57)(3, 60)(4, 49)(5, 55)(6, 62)(7, 53)(8, 68)(9, 50)(10, 69)(11, 71)(12, 51)(13, 65)(14, 54)(15, 66)(16, 67)(17, 61)(18, 63)(19, 64)(20, 56)(21, 58)(22, 72)(23, 59)(24, 70)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.253
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, Y1 * Y2^-1 * Y3^-1 * Y2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^-1 * Y3, Y2^3 * Y1^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y3 * Y2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 22, 46, 19, 43, 10, 34)(5, 29, 8, 32, 16, 40, 23, 47, 20, 44, 12, 36)(9, 33, 17, 41, 24, 48, 21, 45, 13, 37, 18, 42)(49, 73, 51, 75, 57, 81, 64, 88, 54, 78, 63, 87, 72, 96, 68, 92, 59, 83, 67, 91, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 71, 95, 62, 86, 70, 94, 69, 93, 60, 84, 52, 76, 58, 82, 66, 90, 56, 80)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 59)(15, 70)(16, 71)(17, 72)(18, 57)(19, 58)(20, 60)(21, 61)(22, 67)(23, 68)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.254
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 12^4, 24^2 ]

E17.252 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1, Y1^-1), (R * Y1)^2, Y2^-1 * Y1^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 12, 36, 3, 27, 8, 32, 17, 41, 16, 40, 6, 30, 10, 34, 15, 39, 5, 29)(4, 28, 9, 33, 18, 42, 21, 45, 11, 35, 19, 43, 24, 48, 23, 47, 14, 38, 20, 44, 22, 46, 13, 37)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 58, 82)(52, 76, 59, 83, 62, 86)(53, 77, 60, 84, 64, 88)(55, 79, 65, 89, 63, 87)(57, 81, 67, 91, 68, 92)(61, 85, 69, 93, 71, 95)(66, 90, 72, 96, 70, 94)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 61)(6, 62)(7, 66)(8, 67)(9, 50)(10, 68)(11, 51)(12, 69)(13, 53)(14, 54)(15, 70)(16, 71)(17, 72)(18, 55)(19, 56)(20, 58)(21, 60)(22, 63)(23, 64)(24, 65)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.249
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 6^8, 24^2 ]

E17.253 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (Y2^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 16, 40, 6, 30, 10, 34, 18, 42, 12, 36, 3, 27, 8, 32, 15, 39, 5, 29)(4, 28, 9, 33, 17, 41, 23, 47, 14, 38, 20, 44, 24, 48, 21, 45, 11, 35, 19, 43, 22, 46, 13, 37)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 58, 82)(52, 76, 59, 83, 62, 86)(53, 77, 60, 84, 64, 88)(55, 79, 63, 87, 66, 90)(57, 81, 67, 91, 68, 92)(61, 85, 69, 93, 71, 95)(65, 89, 70, 94, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 49)(5, 61)(6, 62)(7, 65)(8, 67)(9, 50)(10, 68)(11, 51)(12, 69)(13, 53)(14, 54)(15, 70)(16, 71)(17, 55)(18, 72)(19, 56)(20, 58)(21, 60)(22, 63)(23, 64)(24, 66)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.250
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 6^8, 24^2 ]

E17.254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^-2 * Y2, (R * Y3)^2, (Y1, Y3), (Y1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y1^-4 * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 17, 41, 6, 30, 11, 35, 20, 44, 14, 38, 3, 27, 9, 33, 16, 40, 5, 29)(4, 28, 10, 34, 19, 43, 18, 42, 7, 31, 12, 36, 21, 45, 23, 47, 13, 37, 22, 46, 24, 48, 15, 39)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 55, 79)(53, 77, 62, 86, 65, 89)(56, 80, 64, 88, 68, 92)(58, 82, 70, 94, 60, 84)(63, 87, 71, 95, 66, 90)(67, 91, 72, 96, 69, 93)
	L = (1, 52)(2, 58)(3, 61)(4, 51)(5, 63)(6, 55)(7, 49)(8, 67)(9, 70)(10, 57)(11, 60)(12, 50)(13, 54)(14, 71)(15, 62)(16, 72)(17, 66)(18, 53)(19, 64)(20, 69)(21, 56)(22, 59)(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) :: { ( 12, 24, 12, 24, 12, 24 ), ( 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24, 12, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.251
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 6^8, 24^2 ]

E17.255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 12, 12})
Quotient :: dipole
Aut^+ = C12 x C2 (small group id <24, 9>)
Aut   = C2 x D24 (small group id <48, 36>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y2^-3, (Y3, Y2^-1), (Y3^-1, Y1), (R * Y2)^2, Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y3)^2, Y3^4, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3, (Y2^-1 * Y3)^3, Y3^-1 * Y2 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 16, 40, 22, 46, 15, 39, 21, 45, 14, 38, 20, 44, 13, 37, 5, 29)(3, 27, 9, 33, 6, 30, 11, 35, 4, 28, 10, 34, 19, 43, 24, 48, 23, 47, 17, 41, 7, 31, 12, 36)(49, 73, 51, 75, 61, 85, 55, 79, 62, 86, 71, 95, 63, 87, 67, 91, 64, 88, 52, 76, 56, 80, 54, 78)(50, 74, 57, 81, 53, 77, 60, 84, 68, 92, 65, 89, 69, 93, 72, 96, 70, 94, 58, 82, 66, 90, 59, 83)
	L = (1, 52)(2, 58)(3, 56)(4, 63)(5, 59)(6, 64)(7, 49)(8, 67)(9, 66)(10, 69)(11, 70)(12, 50)(13, 54)(14, 51)(15, 55)(16, 71)(17, 53)(18, 72)(19, 62)(20, 57)(21, 60)(22, 65)(23, 61)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.248
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2, Y1^3, (R * Y2)^2, (R * Y3)^2, (Y3, Y2^-1), (Y1^-1, Y3^-1), (R * Y1)^2, (Y2 * Y1^-1)^2, Y3^-2 * Y2 * Y3^-2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 6, 30, 9, 33)(4, 28, 8, 32, 14, 38)(7, 31, 10, 34, 16, 40)(11, 35, 15, 39, 20, 44)(12, 36, 17, 41, 21, 45)(13, 37, 19, 43, 24, 48)(18, 42, 22, 46, 23, 47)(49, 73, 51, 75, 53, 77, 57, 81, 50, 74, 54, 78)(52, 76, 59, 83, 62, 86, 68, 92, 56, 80, 63, 87)(55, 79, 60, 84, 64, 88, 69, 93, 58, 82, 65, 89)(61, 85, 71, 95, 72, 96, 70, 94, 67, 91, 66, 90)
	L = (1, 52)(2, 56)(3, 59)(4, 61)(5, 62)(6, 63)(7, 49)(8, 67)(9, 68)(10, 50)(11, 71)(12, 51)(13, 60)(14, 72)(15, 66)(16, 53)(17, 54)(18, 55)(19, 65)(20, 70)(21, 57)(22, 58)(23, 64)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16, 48, 16, 48, 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.259
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^3, Y1^6, Y2^-4 * Y1^3, (Y3 * Y2^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 24, 48, 21, 45, 10, 34)(5, 29, 8, 32, 16, 40, 19, 43, 22, 46, 12, 36)(9, 33, 17, 41, 23, 47, 13, 37, 18, 42, 20, 44)(49, 73, 51, 75, 57, 81, 67, 91, 62, 86, 72, 96, 61, 85, 53, 77)(50, 74, 55, 79, 65, 89, 70, 94, 59, 83, 69, 93, 66, 90, 56, 80)(52, 76, 58, 82, 68, 92, 64, 88, 54, 78, 63, 87, 71, 95, 60, 84)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 59)(15, 72)(16, 67)(17, 71)(18, 68)(19, 70)(20, 57)(21, 58)(22, 60)(23, 61)(24, 69)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.258
Graph:: bipartite
	v = 7 e = 48 f = 9
	degree seq :: [ 12^4, 16^3 ]

E17.258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^2 * Y2^-1, (Y2^-1 * Y3^-1)^2, (Y3^-1, Y1), (Y2^-1, Y1^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 7, 31, 12, 36, 21, 45, 17, 41, 6, 30, 11, 35, 20, 44, 23, 47, 13, 37, 22, 46, 24, 48, 14, 38, 3, 27, 9, 33, 19, 43, 15, 39, 4, 28, 10, 34, 16, 40, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 61, 85, 55, 79)(53, 77, 62, 86, 65, 89)(56, 80, 67, 91, 68, 92)(58, 82, 70, 94, 60, 84)(63, 87, 71, 95, 66, 90)(64, 88, 72, 96, 69, 93)
	L = (1, 52)(2, 58)(3, 61)(4, 51)(5, 63)(6, 55)(7, 49)(8, 64)(9, 70)(10, 57)(11, 60)(12, 50)(13, 54)(14, 71)(15, 62)(16, 67)(17, 66)(18, 53)(19, 72)(20, 69)(21, 56)(22, 59)(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) :: { ( 12, 16, 12, 16, 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.257
Graph:: bipartite
	v = 9 e = 48 f = 7
	degree seq :: [ 6^8, 48 ]

E17.259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1 * Y2 * Y1, (Y1, Y2^-1), Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2^2, Y3^-2 * Y1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y1^2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 18, 42, 24, 48, 23, 47, 13, 37, 5, 29)(3, 27, 9, 33, 7, 31, 12, 36, 20, 44, 17, 41, 22, 46, 14, 38)(4, 28, 10, 34, 6, 30, 11, 35, 19, 43, 15, 39, 21, 45, 16, 40)(49, 73, 51, 75, 59, 83, 50, 74, 57, 81, 67, 91, 56, 80, 55, 79, 63, 87, 66, 90, 60, 84, 69, 93, 72, 96, 68, 92, 64, 88, 71, 95, 65, 89, 52, 76, 61, 85, 70, 94, 58, 82, 53, 77, 62, 86, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 60)(5, 64)(6, 65)(7, 49)(8, 54)(9, 53)(10, 68)(11, 70)(12, 50)(13, 69)(14, 71)(15, 51)(16, 55)(17, 66)(18, 59)(19, 62)(20, 56)(21, 57)(22, 72)(23, 63)(24, 67)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.256
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 16^3, 48 ]

E17.260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-1 * Y3^-3, (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^2 * Y2^-2 * Y1, Y2^8 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 5, 29)(3, 27, 8, 32, 14, 38)(4, 28, 9, 33, 17, 41)(6, 30, 10, 34, 19, 43)(7, 31, 11, 35, 20, 44)(12, 36, 22, 46, 16, 40)(13, 37, 23, 47, 21, 45)(15, 39, 24, 48, 18, 42)(49, 73, 51, 75, 60, 84, 59, 83, 72, 96, 65, 89, 69, 93, 54, 78)(50, 74, 56, 80, 70, 94, 68, 92, 66, 90, 52, 76, 61, 85, 58, 82)(53, 77, 62, 86, 64, 88, 55, 79, 63, 87, 57, 81, 71, 95, 67, 91)
	L = (1, 52)(2, 57)(3, 61)(4, 64)(5, 65)(6, 66)(7, 49)(8, 71)(9, 60)(10, 63)(11, 50)(12, 58)(13, 55)(14, 69)(15, 51)(16, 54)(17, 70)(18, 62)(19, 72)(20, 53)(21, 68)(22, 67)(23, 59)(24, 56)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12, 48, 12, 48, 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.261
Graph:: bipartite
	v = 11 e = 48 f = 5
	degree seq :: [ 6^8, 16^3 ]

E17.261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 8, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^2 * Y3^-1 * Y2^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1^3 * Y3 * Y1^2, (Y3 * Y2^2)^4 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 14, 38, 11, 35, 4, 28)(3, 27, 7, 31, 15, 39, 21, 45, 18, 42, 10, 34)(5, 29, 8, 32, 16, 40, 22, 46, 19, 43, 12, 36)(9, 33, 17, 41, 23, 47, 24, 48, 20, 44, 13, 37)(49, 73, 51, 75, 57, 81, 56, 80, 50, 74, 55, 79, 65, 89, 64, 88, 54, 78, 63, 87, 71, 95, 70, 94, 62, 86, 69, 93, 72, 96, 67, 91, 59, 83, 66, 90, 68, 92, 60, 84, 52, 76, 58, 82, 61, 85, 53, 77)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 57)(14, 59)(15, 69)(16, 70)(17, 71)(18, 58)(19, 60)(20, 61)(21, 66)(22, 67)(23, 72)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ), ( 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.260
Graph:: bipartite
	v = 5 e = 48 f = 11
	degree seq :: [ 12^4, 48 ]

E17.262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1 * Y3^-3, Y3^3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1, Y2^-1), Y1^4, (Y3^-1 * Y1^-1)^3 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 19, 43, 14, 38)(4, 28, 10, 34, 20, 44, 15, 39)(6, 30, 11, 35, 21, 45, 16, 40)(7, 31, 12, 36, 22, 46, 17, 41)(13, 37, 23, 47, 24, 48, 18, 42)(49, 73, 51, 75, 52, 76, 61, 85, 60, 84, 59, 83, 50, 74, 57, 81, 58, 82, 71, 95, 70, 94, 69, 93, 56, 80, 67, 91, 68, 92, 72, 96, 65, 89, 64, 88, 53, 77, 62, 86, 63, 87, 66, 90, 55, 79, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 60)(5, 63)(6, 51)(7, 49)(8, 68)(9, 71)(10, 70)(11, 57)(12, 50)(13, 59)(14, 66)(15, 55)(16, 62)(17, 53)(18, 54)(19, 72)(20, 65)(21, 67)(22, 56)(23, 69)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.264
Graph:: bipartite
	v = 7 e = 48 f = 9
	degree seq :: [ 8^6, 48 ]

E17.263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^3 * Y1^-1, (R * Y1)^2, (Y1^-1, Y2^-1), (Y2, Y3^-1), (R * Y3)^2, Y1^4, (Y3, Y1), (R * Y2)^2, Y2^2 * Y1^2 * Y3^-1, Y2^-1 * Y1^2 * Y3 * Y2^-1, Y2 * Y3 * Y2 * Y1 * Y3, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1, Y2^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 5, 29)(3, 27, 9, 33, 18, 42, 15, 39)(4, 28, 10, 34, 13, 37, 17, 41)(6, 30, 11, 35, 16, 40, 19, 43)(7, 31, 12, 36, 21, 45, 20, 44)(14, 38, 22, 46, 23, 47, 24, 48)(49, 73, 51, 75, 61, 85, 71, 95, 60, 84, 67, 91, 53, 77, 63, 87, 58, 82, 70, 94, 55, 79, 64, 88, 56, 80, 66, 90, 52, 76, 62, 86, 68, 92, 59, 83, 50, 74, 57, 81, 65, 89, 72, 96, 69, 93, 54, 78)
	L = (1, 52)(2, 58)(3, 62)(4, 60)(5, 65)(6, 66)(7, 49)(8, 61)(9, 70)(10, 69)(11, 63)(12, 50)(13, 68)(14, 67)(15, 72)(16, 51)(17, 55)(18, 71)(19, 57)(20, 53)(21, 56)(22, 54)(23, 59)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 6, 48, 6, 48, 6, 48, 6, 48 ), ( 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48, 6, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.265
Graph:: bipartite
	v = 7 e = 48 f = 9
	degree seq :: [ 8^6, 48 ]

E17.264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3 * Y1^2, (Y2, Y3^-1), (R * Y1)^2, (Y1^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^4, Y3^2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 10, 34, 19, 43, 22, 46, 16, 40, 17, 41, 6, 30, 9, 33, 18, 42, 21, 45, 23, 47, 24, 48, 11, 35, 12, 36, 3, 27, 8, 32, 13, 37, 20, 44, 14, 38, 15, 39, 4, 28, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 56, 80, 57, 81)(52, 76, 59, 83, 64, 88)(53, 77, 60, 84, 65, 89)(55, 79, 61, 85, 66, 90)(58, 82, 68, 92, 69, 93)(62, 86, 71, 95, 67, 91)(63, 87, 72, 96, 70, 94)
	L = (1, 52)(2, 53)(3, 59)(4, 62)(5, 63)(6, 64)(7, 49)(8, 60)(9, 65)(10, 50)(11, 71)(12, 72)(13, 51)(14, 61)(15, 68)(16, 67)(17, 70)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(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, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.262
Graph:: bipartite
	v = 9 e = 48 f = 7
	degree seq :: [ 6^8, 48 ]

E17.265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^3, (Y3, Y1), (Y2, Y1^-1), Y1^-1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y1^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y3^-4, Y1^-2 * Y3^-1 * Y2^-1 * Y3^-2, (Y3^-1 * Y1^-1)^24 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 20, 44, 19, 43, 24, 48, 13, 37, 17, 41, 6, 30, 11, 35, 4, 28, 10, 34, 21, 45, 18, 42, 7, 31, 12, 36, 3, 27, 9, 33, 15, 39, 23, 47, 14, 38, 22, 46, 16, 40, 5, 29)(49, 73, 51, 75, 54, 78)(50, 74, 57, 81, 59, 83)(52, 76, 56, 80, 63, 87)(53, 77, 60, 84, 65, 89)(55, 79, 61, 85, 64, 88)(58, 82, 68, 92, 71, 95)(62, 86, 69, 93, 67, 91)(66, 90, 72, 96, 70, 94)
	L = (1, 52)(2, 58)(3, 56)(4, 62)(5, 59)(6, 63)(7, 49)(8, 69)(9, 68)(10, 70)(11, 71)(12, 50)(13, 51)(14, 61)(15, 67)(16, 54)(17, 57)(18, 53)(19, 55)(20, 66)(21, 64)(22, 65)(23, 72)(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) :: { ( 8, 48, 8, 48, 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.263
Graph:: bipartite
	v = 9 e = 48 f = 7
	degree seq :: [ 6^8, 48 ]

E17.266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^-2 * Y3^-2, Y3^2 * Y1^2, (R * Y1)^2, (Y3, Y1^-1), (Y1, Y2^-1), (R * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y3 * Y2 * Y1, Y3^-3 * Y1^3, Y3^-2 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y3^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 16, 40, 4, 28, 10, 34, 7, 31, 12, 36, 21, 45, 15, 39, 5, 29)(3, 27, 9, 33, 18, 42, 22, 46, 24, 48, 13, 37, 17, 41, 6, 30, 11, 35, 20, 44, 23, 47, 14, 38)(49, 73, 51, 75, 52, 76, 61, 85, 63, 87, 71, 95, 67, 91, 70, 94, 60, 84, 59, 83, 50, 74, 57, 81, 58, 82, 65, 89, 53, 77, 62, 86, 64, 88, 72, 96, 69, 93, 68, 92, 56, 80, 66, 90, 55, 79, 54, 78)
	L = (1, 52)(2, 58)(3, 61)(4, 63)(5, 64)(6, 51)(7, 49)(8, 55)(9, 65)(10, 53)(11, 57)(12, 50)(13, 71)(14, 72)(15, 67)(16, 69)(17, 62)(18, 54)(19, 60)(20, 66)(21, 56)(22, 59)(23, 70)(24, 68)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.268
Graph:: bipartite
	v = 3 e = 48 f = 13
	degree seq :: [ 24^2, 48 ]

E17.267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^-2 * Y1^-2, (Y3^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3^-1), Y3^-2 * Y2 * Y1^-1 * Y2, Y3 * Y1^-5, Y3^12 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 8, 32, 19, 43, 16, 40, 4, 28, 9, 33, 7, 31, 11, 35, 21, 45, 15, 39, 5, 29)(3, 27, 6, 30, 10, 34, 20, 44, 24, 48, 12, 36, 17, 41, 14, 38, 18, 42, 22, 46, 23, 47, 13, 37)(49, 73, 51, 75, 53, 77, 61, 85, 63, 87, 71, 95, 69, 93, 70, 94, 59, 83, 66, 90, 55, 79, 62, 86, 57, 81, 65, 89, 52, 76, 60, 84, 64, 88, 72, 96, 67, 91, 68, 92, 56, 80, 58, 82, 50, 74, 54, 78)
	L = (1, 52)(2, 57)(3, 60)(4, 63)(5, 64)(6, 65)(7, 49)(8, 55)(9, 53)(10, 62)(11, 50)(12, 71)(13, 72)(14, 51)(15, 67)(16, 69)(17, 61)(18, 54)(19, 59)(20, 66)(21, 56)(22, 58)(23, 68)(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, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.269
Graph:: bipartite
	v = 3 e = 48 f = 13
	degree seq :: [ 24^2, 48 ]

E17.268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^6 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 6, 30, 8, 32, 14, 38, 16, 40, 22, 46, 24, 48, 17, 41, 18, 42, 9, 33, 10, 34, 3, 27, 7, 31, 11, 35, 15, 39, 19, 43, 23, 47, 20, 44, 21, 45, 12, 36, 13, 37, 4, 28, 5, 29)(49, 73, 51, 75)(50, 74, 55, 79)(52, 76, 57, 81)(53, 77, 58, 82)(54, 78, 59, 83)(56, 80, 63, 87)(60, 84, 65, 89)(61, 85, 66, 90)(62, 86, 67, 91)(64, 88, 71, 95)(68, 92, 70, 94)(69, 93, 72, 96)
	L = (1, 52)(2, 53)(3, 57)(4, 60)(5, 61)(6, 49)(7, 58)(8, 50)(9, 65)(10, 66)(11, 51)(12, 68)(13, 69)(14, 54)(15, 55)(16, 56)(17, 70)(18, 72)(19, 59)(20, 67)(21, 71)(22, 62)(23, 63)(24, 64)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.266
Graph:: bipartite
	v = 13 e = 48 f = 3
	degree seq :: [ 4^12, 48 ]

E17.269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 24, 24})
Quotient :: dipole
Aut^+ = C24 (small group id <24, 2>)
Aut   = D48 (small group id <48, 7>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y1, Y1^-2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1^2 * Y3, Y3^6 * Y2 ]
Map:: non-degenerate
	R = (1, 25, 2, 26, 7, 31, 15, 39, 14, 38, 18, 42, 20, 44, 24, 48, 19, 43, 13, 37, 4, 28, 9, 33, 3, 27, 8, 32, 6, 30, 10, 34, 16, 40, 23, 47, 22, 46, 21, 45, 12, 36, 17, 41, 11, 35, 5, 29)(49, 73, 51, 75)(50, 74, 56, 80)(52, 76, 59, 83)(53, 77, 57, 81)(54, 78, 55, 79)(58, 82, 63, 87)(60, 84, 67, 91)(61, 85, 65, 89)(62, 86, 64, 88)(66, 90, 71, 95)(68, 92, 70, 94)(69, 93, 72, 96)
	L = (1, 52)(2, 57)(3, 59)(4, 60)(5, 61)(6, 49)(7, 51)(8, 53)(9, 65)(10, 50)(11, 67)(12, 68)(13, 69)(14, 54)(15, 56)(16, 55)(17, 72)(18, 58)(19, 70)(20, 64)(21, 66)(22, 62)(23, 63)(24, 71)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24, 48, 24, 48 ), ( 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48, 24, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.267
Graph:: bipartite
	v = 13 e = 48 f = 3
	degree seq :: [ 4^12, 48 ]

E17.270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, (Y3, Y2^-1), Y3^-1 * Y1 * Y3 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^5 * Y2^-1 * Y3^2, (Y2^-1 * Y3)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 5, 33)(4, 32, 7, 35)(6, 34, 8, 36)(9, 37, 12, 40)(10, 38, 13, 41)(11, 39, 15, 43)(14, 42, 16, 44)(17, 45, 20, 48)(18, 46, 21, 49)(19, 47, 23, 51)(22, 50, 24, 52)(25, 53, 27, 55)(26, 54, 28, 56)(57, 85, 59, 87, 58, 86, 61, 89)(60, 88, 65, 93, 63, 91, 68, 96)(62, 90, 66, 94, 64, 92, 69, 97)(67, 95, 73, 101, 71, 99, 76, 104)(70, 98, 74, 102, 72, 100, 77, 105)(75, 103, 81, 109, 79, 107, 83, 111)(78, 106, 82, 110, 80, 108, 84, 112)
	L = (1, 60)(2, 63)(3, 65)(4, 67)(5, 68)(6, 57)(7, 71)(8, 58)(9, 73)(10, 59)(11, 75)(12, 76)(13, 61)(14, 62)(15, 79)(16, 64)(17, 81)(18, 66)(19, 82)(20, 83)(21, 69)(22, 70)(23, 84)(24, 72)(25, 80)(26, 74)(27, 78)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 28, 56, 28, 56 ), ( 28, 56, 28, 56, 28, 56, 28, 56 ) }
Outer automorphisms :: reflexible
Dual of E17.273
Graph:: bipartite
	v = 21 e = 56 f = 3
	degree seq :: [ 4^14, 8^7 ]

E17.271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^7 * Y1^2, (Y3 * Y2^-1)^28 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 28, 56, 26, 54)(20, 48, 24, 52, 25, 53, 27, 55)(57, 85, 59, 87, 65, 93, 73, 101, 81, 109, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 84, 112, 76, 104, 68, 96, 61, 89)(58, 86, 63, 91, 71, 99, 79, 107, 83, 111, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 82, 110, 80, 108, 72, 100, 64, 92)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 60)(7, 69)(8, 70)(9, 71)(10, 59)(11, 61)(12, 72)(13, 66)(14, 67)(15, 77)(16, 78)(17, 79)(18, 65)(19, 68)(20, 80)(21, 74)(22, 75)(23, 84)(24, 81)(25, 83)(26, 73)(27, 76)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 56, 4, 56, 4, 56, 4, 56 ), ( 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56, 4, 56 ) }
Outer automorphisms :: reflexible
Dual of E17.272
Graph:: bipartite
	v = 9 e = 56 f = 15
	degree seq :: [ 8^7, 28^2 ]

E17.272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-2, Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), Y1^-1 * Y3^-1 * Y1^-6, (Y1^-1 * Y3^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 7, 35, 15, 43, 23, 51, 22, 50, 14, 42, 6, 34, 10, 38, 18, 46, 26, 54, 27, 55, 19, 47, 11, 39, 3, 31, 8, 36, 16, 44, 24, 52, 28, 56, 20, 48, 12, 40, 4, 32, 9, 37, 17, 45, 25, 53, 21, 49, 13, 41, 5, 33)(57, 85, 59, 87)(58, 86, 64, 92)(60, 88, 62, 90)(61, 89, 67, 95)(63, 91, 72, 100)(65, 93, 66, 94)(68, 96, 70, 98)(69, 97, 75, 103)(71, 99, 80, 108)(73, 101, 74, 102)(76, 104, 78, 106)(77, 105, 83, 111)(79, 107, 84, 112)(81, 109, 82, 110)
	L = (1, 60)(2, 65)(3, 62)(4, 59)(5, 68)(6, 57)(7, 73)(8, 66)(9, 64)(10, 58)(11, 70)(12, 67)(13, 76)(14, 61)(15, 81)(16, 74)(17, 72)(18, 63)(19, 78)(20, 75)(21, 84)(22, 69)(23, 77)(24, 82)(25, 80)(26, 71)(27, 79)(28, 83)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 28, 8, 28 ), ( 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28, 8, 28 ) }
Outer automorphisms :: reflexible
Dual of E17.271
Graph:: bipartite
	v = 15 e = 56 f = 9
	degree seq :: [ 4^14, 56 ]

E17.273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3 * Y1 * Y2, Y2^-1 * Y3^-1 * Y1^-2, Y2^-1 * Y3^2 * Y2^-1, (Y1^-1, Y3), (Y3, Y2), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y2^-2, Y2^-1 * Y3^-1 * Y1^12, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^23 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 8, 36, 19, 47, 27, 55, 13, 41, 22, 50, 16, 44, 23, 51, 18, 46, 24, 52, 28, 56, 14, 42, 5, 33)(3, 31, 9, 37, 7, 35, 12, 40, 21, 49, 25, 53, 17, 45, 4, 32, 10, 38, 6, 34, 11, 39, 20, 48, 26, 54, 15, 43)(57, 85, 59, 87, 69, 97, 81, 109, 80, 108, 67, 95, 58, 86, 65, 93, 78, 106, 73, 101, 84, 112, 76, 104, 64, 92, 63, 91, 72, 100, 60, 88, 70, 98, 82, 110, 75, 103, 68, 96, 79, 107, 66, 94, 61, 89, 71, 99, 83, 111, 77, 105, 74, 102, 62, 90)
	L = (1, 60)(2, 66)(3, 70)(4, 69)(5, 73)(6, 72)(7, 57)(8, 62)(9, 61)(10, 78)(11, 79)(12, 58)(13, 82)(14, 81)(15, 84)(16, 59)(17, 83)(18, 63)(19, 67)(20, 74)(21, 64)(22, 71)(23, 65)(24, 68)(25, 75)(26, 80)(27, 76)(28, 77)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.270
Graph:: bipartite
	v = 3 e = 56 f = 21
	degree seq :: [ 28^2, 56 ]

E17.274 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3^-1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^2 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3^6 * Y2, Y3 * Y2^2 * Y3 * Y2^3 ]
Map:: non-degenerate
	R = (1, 29, 2, 30)(3, 31, 7, 35)(4, 32, 8, 36)(5, 33, 9, 37)(6, 34, 10, 38)(11, 39, 14, 42)(12, 40, 19, 47)(13, 41, 15, 43)(16, 44, 18, 46)(17, 45, 20, 48)(21, 49, 23, 51)(22, 50, 24, 52)(25, 53, 27, 55)(26, 54, 28, 56)(57, 85, 59, 87, 67, 95, 77, 105, 83, 111, 74, 102, 65, 93, 58, 86, 63, 91, 70, 98, 79, 107, 81, 109, 72, 100, 61, 89)(60, 88, 68, 96, 78, 106, 82, 110, 73, 101, 62, 90, 69, 97, 64, 92, 75, 103, 80, 108, 84, 112, 76, 104, 66, 94, 71, 99)
	L = (1, 60)(2, 64)(3, 68)(4, 70)(5, 71)(6, 57)(7, 75)(8, 67)(9, 69)(10, 58)(11, 78)(12, 79)(13, 59)(14, 80)(15, 63)(16, 66)(17, 61)(18, 62)(19, 77)(20, 65)(21, 82)(22, 81)(23, 84)(24, 83)(25, 76)(26, 72)(27, 73)(28, 74)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 8, 56, 8, 56 ), ( 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56, 8, 56 ) }
Outer automorphisms :: reflexible
Dual of E17.275
Graph:: bipartite
	v = 16 e = 56 f = 8
	degree seq :: [ 4^14, 28^2 ]

E17.275 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 14, 28})
Quotient :: dipole
Aut^+ = C28 (small group id <28, 2>)
Aut   = D56 (small group id <56, 5>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2, Y1^-1), (R * Y3)^2, Y1^4, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^7 * Y1^-1, (Y3 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 29, 2, 30, 6, 34, 4, 32)(3, 31, 7, 35, 13, 41, 10, 38)(5, 33, 8, 36, 14, 42, 11, 39)(9, 37, 15, 43, 21, 49, 18, 46)(12, 40, 16, 44, 22, 50, 19, 47)(17, 45, 23, 51, 27, 55, 25, 53)(20, 48, 24, 52, 28, 56, 26, 54)(57, 85, 59, 87, 65, 93, 73, 101, 80, 108, 72, 100, 64, 92, 58, 86, 63, 91, 71, 99, 79, 107, 84, 112, 78, 106, 70, 98, 62, 90, 69, 97, 77, 105, 83, 111, 82, 110, 75, 103, 67, 95, 60, 88, 66, 94, 74, 102, 81, 109, 76, 104, 68, 96, 61, 89)
	L = (1, 58)(2, 62)(3, 63)(4, 57)(5, 64)(6, 60)(7, 69)(8, 70)(9, 71)(10, 59)(11, 61)(12, 72)(13, 66)(14, 67)(15, 77)(16, 78)(17, 79)(18, 65)(19, 68)(20, 80)(21, 74)(22, 75)(23, 83)(24, 84)(25, 73)(26, 76)(27, 81)(28, 82)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 4, 28, 4, 28, 4, 28, 4, 28 ), ( 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E17.274
Graph:: bipartite
	v = 8 e = 56 f = 16
	degree seq :: [ 8^7, 56 ]

E17.276 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, Y2^5, Y3 * Y2 * Y1 * Y3^2 * Y2^-1, Y3 * Y1 * Y3 * Y2^2 * Y3, Y2^-1 * Y3^-3 * Y2 * Y1, Y3^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 14, 44)(5, 35, 7, 37)(6, 36, 19, 49)(8, 38, 12, 42)(10, 40, 13, 43)(11, 41, 24, 54)(15, 45, 30, 60)(16, 46, 23, 53)(17, 47, 21, 51)(18, 48, 29, 59)(20, 50, 26, 56)(22, 52, 27, 57)(25, 55, 28, 58)(61, 91, 63, 93, 71, 101, 77, 107, 65, 95)(62, 92, 67, 97, 81, 111, 84, 114, 69, 99)(64, 94, 75, 105, 86, 116, 87, 117, 72, 102)(66, 96, 78, 108, 83, 113, 88, 118, 73, 103)(68, 98, 82, 112, 80, 110, 90, 120, 74, 104)(70, 100, 85, 115, 76, 106, 89, 119, 79, 109)
	L = (1, 64)(2, 68)(3, 72)(4, 76)(5, 75)(6, 61)(7, 74)(8, 83)(9, 82)(10, 62)(11, 87)(12, 89)(13, 63)(14, 88)(15, 85)(16, 84)(17, 86)(18, 65)(19, 67)(20, 66)(21, 90)(22, 78)(23, 77)(24, 80)(25, 69)(26, 70)(27, 79)(28, 71)(29, 81)(30, 73)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.289
Graph:: simple bipartite
	v = 21 e = 60 f = 7
	degree seq :: [ 4^15, 10^6 ]

E17.277 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y2^5, Y3^3 * Y1 * Y2^2, Y3^6, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 14, 44)(5, 35, 7, 37)(6, 36, 19, 49)(8, 38, 15, 45)(10, 40, 18, 48)(11, 41, 25, 55)(12, 42, 27, 57)(13, 43, 28, 58)(16, 46, 24, 54)(17, 47, 21, 51)(20, 50, 26, 56)(22, 52, 30, 60)(23, 53, 29, 59)(61, 91, 63, 93, 71, 101, 77, 107, 65, 95)(62, 92, 67, 97, 81, 111, 85, 115, 69, 99)(64, 94, 75, 105, 90, 120, 86, 116, 72, 102)(66, 96, 78, 108, 89, 119, 84, 114, 73, 103)(68, 98, 74, 104, 87, 117, 80, 110, 82, 112)(70, 100, 79, 109, 88, 118, 76, 106, 83, 113)
	L = (1, 64)(2, 68)(3, 72)(4, 76)(5, 75)(6, 61)(7, 82)(8, 84)(9, 74)(10, 62)(11, 86)(12, 83)(13, 63)(14, 89)(15, 88)(16, 81)(17, 90)(18, 65)(19, 69)(20, 66)(21, 80)(22, 73)(23, 67)(24, 71)(25, 87)(26, 70)(27, 78)(28, 85)(29, 77)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.288
Graph:: simple bipartite
	v = 21 e = 60 f = 7
	degree seq :: [ 4^15, 10^6 ]

E17.278 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (R * Y1)^2, R * Y2 * R * Y2^-1, (R * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y2 * Y1)^2, Y2^-1 * Y3^2 * Y1 * Y3, Y2^5, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 14, 44)(5, 35, 7, 37)(6, 36, 19, 49)(8, 38, 22, 52)(10, 40, 26, 56)(11, 41, 24, 54)(12, 42, 20, 50)(13, 43, 16, 46)(15, 45, 27, 57)(17, 47, 21, 51)(18, 48, 30, 60)(23, 53, 28, 58)(25, 55, 29, 59)(61, 91, 63, 93, 71, 101, 77, 107, 65, 95)(62, 92, 67, 97, 81, 111, 84, 114, 69, 99)(64, 94, 75, 105, 88, 118, 82, 112, 72, 102)(66, 96, 78, 108, 89, 119, 86, 116, 73, 103)(68, 98, 83, 113, 87, 117, 74, 104, 80, 110)(70, 100, 85, 115, 90, 120, 79, 109, 76, 106)
	L = (1, 64)(2, 68)(3, 72)(4, 76)(5, 75)(6, 61)(7, 80)(8, 73)(9, 83)(10, 62)(11, 82)(12, 70)(13, 63)(14, 78)(15, 79)(16, 67)(17, 88)(18, 65)(19, 81)(20, 66)(21, 74)(22, 85)(23, 86)(24, 87)(25, 69)(26, 71)(27, 89)(28, 90)(29, 77)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.290
Graph:: simple bipartite
	v = 21 e = 60 f = 7
	degree seq :: [ 4^15, 10^6 ]

E17.279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y1 * Y2)^2, Y1 * Y3^2 * Y2^-1 * Y3, Y1 * Y2^-1 * Y3^3, Y2^5, Y3^-1 * Y2^-2 * Y1 * Y2 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 9, 39)(4, 34, 14, 44)(5, 35, 7, 37)(6, 36, 19, 49)(8, 38, 24, 54)(10, 40, 26, 56)(11, 41, 25, 55)(12, 42, 29, 59)(13, 43, 30, 60)(15, 45, 20, 50)(16, 46, 18, 48)(17, 47, 21, 51)(22, 52, 27, 57)(23, 53, 28, 58)(61, 91, 63, 93, 71, 101, 77, 107, 65, 95)(62, 92, 67, 97, 81, 111, 85, 115, 69, 99)(64, 94, 75, 105, 84, 114, 87, 117, 72, 102)(66, 96, 78, 108, 86, 116, 88, 118, 73, 103)(68, 98, 80, 110, 74, 104, 89, 119, 82, 112)(70, 100, 76, 106, 79, 109, 90, 120, 83, 113)
	L = (1, 64)(2, 68)(3, 72)(4, 76)(5, 75)(6, 61)(7, 82)(8, 78)(9, 80)(10, 62)(11, 87)(12, 79)(13, 63)(14, 73)(15, 70)(16, 69)(17, 84)(18, 65)(19, 85)(20, 66)(21, 89)(22, 86)(23, 67)(24, 83)(25, 74)(26, 77)(27, 90)(28, 71)(29, 88)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.291
Graph:: simple bipartite
	v = 21 e = 60 f = 7
	degree seq :: [ 4^15, 10^6 ]

E17.280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1 * Y2, Y2^-1 * Y1^-1 * Y3 * Y2 * Y3, Y1^5, Y1^-1 * Y2^-1 * Y3 * Y2^-2 * Y1^-1, Y2^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 5, 35)(3, 33, 11, 41, 28, 58, 21, 51, 8, 38)(4, 34, 14, 44, 30, 60, 22, 52, 9, 39)(6, 36, 18, 48, 29, 59, 23, 53, 10, 40)(12, 42, 24, 54, 19, 49, 16, 46, 26, 56)(13, 43, 15, 45, 25, 55, 20, 50, 27, 57)(61, 91, 63, 93, 72, 102, 82, 112, 80, 110, 66, 96)(62, 92, 68, 98, 84, 114, 90, 120, 87, 117, 70, 100)(64, 94, 75, 105, 89, 119, 77, 107, 88, 118, 76, 106)(65, 95, 71, 101, 86, 116, 69, 99, 85, 115, 78, 108)(67, 97, 81, 111, 79, 109, 74, 104, 73, 103, 83, 113)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 74)(6, 79)(7, 82)(8, 75)(9, 62)(10, 76)(11, 87)(12, 89)(13, 63)(14, 65)(15, 68)(16, 70)(17, 90)(18, 84)(19, 66)(20, 88)(21, 85)(22, 67)(23, 86)(24, 78)(25, 81)(26, 83)(27, 71)(28, 80)(29, 72)(30, 77)(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, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.285
Graph:: bipartite
	v = 11 e = 60 f = 17
	degree seq :: [ 10^6, 12^5 ]

E17.281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y1^-1 * Y3)^2, Y1^5, R * Y2 * Y1 * R * Y2, Y3 * Y1^-1 * Y2 * Y3 * Y2^-1, Y3 * Y2^2 * Y1^2 * Y2, Y2^6, Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 5, 35)(3, 33, 11, 41, 28, 58, 21, 51, 8, 38)(4, 34, 14, 44, 29, 59, 22, 52, 9, 39)(6, 36, 18, 48, 30, 60, 23, 53, 10, 40)(12, 42, 24, 54, 16, 46, 19, 49, 26, 56)(13, 43, 25, 55, 20, 50, 27, 57, 15, 45)(61, 91, 63, 93, 72, 102, 89, 119, 80, 110, 66, 96)(62, 92, 68, 98, 84, 114, 74, 104, 87, 117, 70, 100)(64, 94, 75, 105, 83, 113, 67, 97, 81, 111, 76, 106)(65, 95, 71, 101, 86, 116, 82, 112, 85, 115, 78, 108)(69, 99, 73, 103, 90, 120, 77, 107, 88, 118, 79, 109)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 74)(6, 79)(7, 82)(8, 85)(9, 62)(10, 86)(11, 75)(12, 83)(13, 63)(14, 65)(15, 71)(16, 78)(17, 89)(18, 76)(19, 66)(20, 81)(21, 80)(22, 67)(23, 72)(24, 90)(25, 68)(26, 70)(27, 88)(28, 87)(29, 77)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.284
Graph:: bipartite
	v = 11 e = 60 f = 17
	degree seq :: [ 10^6, 12^5 ]

E17.282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y1^5, Y2^-1 * Y1^2 * Y3 * Y2 * Y3, (R * Y2 * Y3)^2, Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 5, 35)(3, 33, 11, 41, 26, 56, 21, 51, 8, 38)(4, 34, 14, 44, 27, 57, 22, 52, 9, 39)(6, 36, 18, 48, 30, 60, 23, 53, 10, 40)(12, 42, 19, 49, 25, 55, 29, 59, 16, 46)(13, 43, 24, 54, 28, 58, 15, 45, 20, 50)(61, 91, 63, 93, 72, 102, 69, 99, 80, 110, 66, 96)(62, 92, 68, 98, 79, 109, 82, 112, 73, 103, 70, 100)(64, 94, 75, 105, 78, 108, 65, 95, 71, 101, 76, 106)(67, 97, 81, 111, 85, 115, 87, 117, 84, 114, 83, 113)(74, 104, 88, 118, 90, 120, 77, 107, 86, 116, 89, 119)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 74)(6, 79)(7, 82)(8, 84)(9, 62)(10, 85)(11, 80)(12, 78)(13, 63)(14, 65)(15, 86)(16, 90)(17, 87)(18, 72)(19, 66)(20, 71)(21, 88)(22, 67)(23, 89)(24, 68)(25, 70)(26, 75)(27, 77)(28, 81)(29, 83)(30, 76)(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, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.286
Graph:: bipartite
	v = 11 e = 60 f = 17
	degree seq :: [ 10^6, 12^5 ]

E17.283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y3^2, R^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^2 * Y3, Y2 * Y1^-1 * Y3 * Y2^2, Y1^5, (R * Y2 * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2 * Y3, Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 5, 35)(3, 33, 11, 41, 26, 56, 21, 51, 8, 38)(4, 34, 14, 44, 28, 58, 22, 52, 9, 39)(6, 36, 18, 48, 29, 59, 23, 53, 10, 40)(12, 42, 16, 46, 25, 55, 30, 60, 19, 49)(13, 43, 20, 50, 15, 45, 24, 54, 27, 57)(61, 91, 63, 93, 72, 102, 74, 104, 80, 110, 66, 96)(62, 92, 68, 98, 76, 106, 64, 94, 75, 105, 70, 100)(65, 95, 71, 101, 79, 109, 88, 118, 73, 103, 78, 108)(67, 97, 81, 111, 85, 115, 69, 99, 84, 114, 83, 113)(77, 107, 86, 116, 90, 120, 82, 112, 87, 117, 89, 119)
	L = (1, 64)(2, 69)(3, 73)(4, 61)(5, 74)(6, 79)(7, 82)(8, 80)(9, 62)(10, 72)(11, 87)(12, 70)(13, 63)(14, 65)(15, 81)(16, 83)(17, 88)(18, 90)(19, 66)(20, 68)(21, 75)(22, 67)(23, 76)(24, 86)(25, 89)(26, 84)(27, 71)(28, 77)(29, 85)(30, 78)(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, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.287
Graph:: bipartite
	v = 11 e = 60 f = 17
	degree seq :: [ 10^6, 12^5 ]

E17.284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y3^2, Y2^2, R^2, (R * Y3)^2, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, Y1^3 * Y2 * Y3, (R * Y2 * Y3)^2, (Y3 * Y2)^5, (Y1^-1 * Y3)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 12, 42, 19, 49, 27, 57, 30, 60, 22, 52, 21, 51, 28, 58, 29, 59, 20, 50, 9, 39, 15, 45, 5, 35)(3, 33, 8, 38, 18, 48, 17, 47, 7, 37, 16, 46, 26, 56, 25, 55, 14, 44, 23, 53, 24, 54, 13, 43, 4, 34, 11, 41, 10, 40)(61, 91, 63, 93)(62, 92, 67, 97)(64, 94, 72, 102)(65, 95, 73, 103)(66, 96, 74, 104)(68, 98, 79, 109)(69, 99, 77, 107)(70, 100, 80, 110)(71, 101, 82, 112)(75, 105, 85, 115)(76, 106, 87, 117)(78, 108, 81, 111)(83, 113, 90, 120)(84, 114, 89, 119)(86, 116, 88, 118)
	L = (1, 64)(2, 68)(3, 69)(4, 61)(5, 74)(6, 76)(7, 75)(8, 62)(9, 63)(10, 81)(11, 79)(12, 83)(13, 80)(14, 65)(15, 67)(16, 66)(17, 88)(18, 87)(19, 71)(20, 73)(21, 70)(22, 84)(23, 72)(24, 82)(25, 89)(26, 90)(27, 78)(28, 77)(29, 85)(30, 86)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.281
Graph:: bipartite
	v = 17 e = 60 f = 11
	degree seq :: [ 4^15, 30^2 ]

E17.285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, Y2^2, Y3^2, Y1^-1 * Y3 * Y1 * Y2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y1^2, (R * Y2 * Y3)^2, (Y2 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 10, 40, 18, 48, 27, 57, 29, 59, 20, 50, 24, 54, 28, 58, 30, 60, 22, 52, 12, 42, 15, 45, 5, 35)(3, 33, 9, 39, 13, 43, 4, 34, 7, 37, 17, 47, 19, 49, 8, 38, 16, 46, 26, 56, 25, 55, 14, 44, 21, 51, 23, 53, 11, 41)(61, 91, 63, 93)(62, 92, 67, 97)(64, 94, 72, 102)(65, 95, 74, 104)(66, 96, 76, 106)(68, 98, 75, 105)(69, 99, 78, 108)(70, 100, 81, 111)(71, 101, 82, 112)(73, 103, 84, 114)(77, 107, 87, 117)(79, 109, 88, 118)(80, 110, 83, 113)(85, 115, 90, 120)(86, 116, 89, 119)
	L = (1, 64)(2, 68)(3, 70)(4, 61)(5, 71)(6, 74)(7, 78)(8, 62)(9, 80)(10, 63)(11, 65)(12, 79)(13, 82)(14, 66)(15, 85)(16, 87)(17, 84)(18, 67)(19, 72)(20, 69)(21, 89)(22, 73)(23, 90)(24, 77)(25, 75)(26, 88)(27, 76)(28, 86)(29, 81)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.280
Graph:: bipartite
	v = 17 e = 60 f = 11
	degree seq :: [ 4^15, 30^2 ]

E17.286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1^2 * Y3, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 18, 48, 24, 54, 25, 55, 10, 40, 20, 50, 29, 59, 13, 43, 22, 52, 26, 56, 30, 60, 17, 47, 5, 35)(3, 33, 9, 39, 16, 46, 21, 51, 7, 37, 14, 44, 4, 34, 12, 42, 19, 49, 23, 53, 8, 38, 15, 45, 28, 58, 27, 57, 11, 41)(61, 91, 63, 93)(62, 92, 67, 97)(64, 94, 73, 103)(65, 95, 75, 105)(66, 96, 79, 109)(68, 98, 82, 112)(69, 99, 84, 114)(70, 100, 83, 113)(71, 101, 86, 116)(72, 102, 77, 107)(74, 104, 85, 115)(76, 106, 89, 119)(78, 108, 88, 118)(80, 110, 87, 117)(81, 111, 90, 120)
	L = (1, 64)(2, 68)(3, 70)(4, 61)(5, 76)(6, 71)(7, 80)(8, 62)(9, 82)(10, 63)(11, 66)(12, 84)(13, 88)(14, 86)(15, 85)(16, 65)(17, 87)(18, 81)(19, 89)(20, 67)(21, 78)(22, 69)(23, 90)(24, 72)(25, 75)(26, 74)(27, 77)(28, 73)(29, 79)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.282
Graph:: bipartite
	v = 17 e = 60 f = 11
	degree seq :: [ 4^15, 30^2 ]

E17.287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 :: [ Y3^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1^2 * Y2, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3, (Y1^-1 * R * Y2)^2, Y1 * Y3 * Y1^-2 * Y2 * Y1, Y3 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y2, (R * Y2 * Y3)^2, Y1^15 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 6, 36, 18, 48, 24, 54, 28, 58, 13, 43, 22, 52, 26, 56, 10, 40, 20, 50, 27, 57, 30, 60, 17, 47, 5, 35)(3, 33, 9, 39, 19, 49, 21, 51, 7, 37, 16, 46, 25, 55, 29, 59, 14, 44, 4, 34, 12, 42, 15, 45, 23, 53, 8, 38, 11, 41)(61, 91, 63, 93)(62, 92, 67, 97)(64, 94, 73, 103)(65, 95, 75, 105)(66, 96, 74, 104)(68, 98, 82, 112)(69, 99, 84, 114)(70, 100, 85, 115)(71, 101, 87, 117)(72, 102, 80, 110)(76, 106, 88, 118)(77, 107, 89, 119)(78, 108, 83, 113)(79, 109, 86, 116)(81, 111, 90, 120)
	L = (1, 64)(2, 68)(3, 70)(4, 61)(5, 76)(6, 79)(7, 80)(8, 62)(9, 77)(10, 63)(11, 88)(12, 84)(13, 81)(14, 87)(15, 86)(16, 65)(17, 69)(18, 85)(19, 66)(20, 67)(21, 73)(22, 89)(23, 90)(24, 72)(25, 78)(26, 75)(27, 74)(28, 71)(29, 82)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.283
Graph:: bipartite
	v = 17 e = 60 f = 11
	degree seq :: [ 4^15, 30^2 ]

E17.288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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, Y2^2 * Y1 * Y3^-1, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2^-1, Y1^-2 * Y3^-2, Y2^-2 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y1 * R * Y2^-1 * R, (R * Y2 * Y3^-1)^2, Y1^-1 * R * Y2 * R * Y2^-1 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y1, Y3^-2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 25, 55, 19, 49, 5, 35)(3, 33, 13, 43, 26, 56, 11, 41, 30, 60, 16, 46)(4, 34, 18, 48, 7, 37, 23, 53, 28, 58, 14, 44)(6, 36, 22, 52, 27, 57, 20, 50, 29, 59, 9, 39)(10, 40, 15, 45, 12, 42, 17, 47, 21, 51, 24, 54)(61, 91, 63, 93, 74, 104, 70, 100, 89, 119, 79, 109, 90, 120, 83, 113, 81, 111, 87, 117, 68, 98, 86, 116, 78, 108, 72, 102, 66, 96)(62, 92, 69, 99, 84, 114, 67, 97, 73, 103, 65, 95, 80, 110, 77, 107, 64, 94, 76, 106, 85, 115, 82, 112, 75, 105, 88, 118, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 79)(5, 81)(6, 73)(7, 61)(8, 67)(9, 83)(10, 65)(11, 66)(12, 62)(13, 89)(14, 69)(15, 90)(16, 87)(17, 63)(18, 82)(19, 88)(20, 78)(21, 85)(22, 74)(23, 80)(24, 86)(25, 72)(26, 77)(27, 71)(28, 68)(29, 76)(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, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.277
Graph:: bipartite
	v = 7 e = 60 f = 21
	degree seq :: [ 12^5, 30^2 ]

E17.289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C3 x D10 (small group id <30, 2>)
Aut   = S3 x D10 (small group id <60, 8>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y2^-1, Y1^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y1^-2 * Y3^-2, Y1^-1 * Y3^-1 * Y2^3, Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3^-2 * Y2^-2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 25, 55, 19, 49, 5, 35)(3, 33, 13, 43, 26, 56, 11, 41, 30, 60, 16, 46)(4, 34, 17, 47, 7, 37, 23, 53, 28, 58, 20, 50)(6, 36, 21, 51, 27, 57, 15, 45, 29, 59, 9, 39)(10, 40, 18, 48, 12, 42, 22, 52, 14, 44, 24, 54)(61, 91, 63, 93, 74, 104, 77, 107, 89, 119, 79, 109, 90, 120, 72, 102, 80, 110, 87, 117, 68, 98, 86, 116, 70, 100, 83, 113, 66, 96)(62, 92, 69, 99, 64, 94, 78, 108, 73, 103, 65, 95, 75, 105, 88, 118, 84, 114, 76, 106, 85, 115, 81, 111, 67, 97, 82, 112, 71, 101)
	L = (1, 64)(2, 70)(3, 75)(4, 79)(5, 74)(6, 82)(7, 61)(8, 67)(9, 63)(10, 65)(11, 80)(12, 62)(13, 83)(14, 85)(15, 90)(16, 77)(17, 71)(18, 87)(19, 88)(20, 73)(21, 86)(22, 89)(23, 76)(24, 66)(25, 72)(26, 69)(27, 84)(28, 68)(29, 78)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.276
Graph:: bipartite
	v = 7 e = 60 f = 21
	degree seq :: [ 12^5, 30^2 ]

E17.290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y1^-1, Y1^-2 * Y3^-2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y3)^2, Y3^6, Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 15, 45, 18, 48, 5, 35)(3, 33, 12, 42, 19, 49, 11, 41, 10, 40, 14, 44)(4, 34, 16, 46, 7, 37, 23, 53, 9, 39, 6, 36)(13, 43, 28, 58, 26, 56, 27, 57, 24, 54, 25, 55)(17, 47, 21, 51, 20, 50, 30, 60, 22, 52, 29, 59)(61, 91, 63, 93, 73, 103, 89, 119, 83, 113, 78, 108, 70, 100, 84, 114, 90, 120, 76, 106, 68, 98, 79, 109, 86, 116, 81, 111, 66, 96)(62, 92, 69, 99, 82, 112, 87, 117, 72, 102, 65, 95, 67, 97, 80, 110, 88, 118, 74, 104, 75, 105, 64, 94, 77, 107, 85, 115, 71, 101)
	L = (1, 64)(2, 70)(3, 62)(4, 78)(5, 79)(6, 80)(7, 61)(8, 67)(9, 68)(10, 65)(11, 73)(12, 84)(13, 72)(14, 86)(15, 63)(16, 82)(17, 76)(18, 69)(19, 75)(20, 83)(21, 87)(22, 66)(23, 77)(24, 74)(25, 81)(26, 71)(27, 89)(28, 90)(29, 88)(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) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.278
Graph:: bipartite
	v = 7 e = 60 f = 21
	degree seq :: [ 12^5, 30^2 ]

E17.291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 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 * Y1^-1 * Y3, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3^-1)^2, Y3^-1 * Y1^-2 * Y3^-1, (Y1 * Y2)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, Y3 * Y1^2 * Y3, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2^-3 * Y1^-1, Y3^6, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 21, 51, 17, 47, 5, 35)(3, 33, 12, 42, 18, 48, 4, 34, 16, 46, 7, 37)(6, 36, 20, 50, 10, 40, 19, 49, 11, 41, 9, 39)(13, 43, 23, 53, 29, 59, 14, 44, 28, 58, 15, 45)(22, 52, 27, 57, 25, 55, 24, 54, 26, 56, 30, 60)(61, 91, 63, 93, 73, 103, 86, 116, 71, 101, 77, 107, 76, 106, 88, 118, 85, 115, 70, 100, 68, 98, 78, 108, 89, 119, 82, 112, 66, 96)(62, 92, 69, 99, 84, 114, 74, 104, 72, 102, 65, 95, 79, 109, 87, 117, 83, 113, 67, 97, 81, 111, 80, 110, 90, 120, 75, 105, 64, 94)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 66)(6, 81)(7, 61)(8, 67)(9, 82)(10, 65)(11, 62)(12, 68)(13, 87)(14, 76)(15, 63)(16, 83)(17, 72)(18, 75)(19, 86)(20, 85)(21, 71)(22, 79)(23, 78)(24, 73)(25, 69)(26, 80)(27, 88)(28, 90)(29, 84)(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, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.279
Graph:: bipartite
	v = 7 e = 60 f = 21
	degree seq :: [ 12^5, 30^2 ]

E17.292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y1 * Y3^-1 * Y1, (Y2, Y3), (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2)^2, Y2^5, Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2^2 * Y1 * Y3^-2 * Y2, Y2^-1 * Y3^2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 19, 49)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(15, 45, 23, 53)(16, 46, 24, 54)(17, 47, 25, 55)(18, 48, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 76, 106, 65, 95)(62, 92, 67, 97, 79, 109, 84, 114, 69, 99)(64, 94, 72, 102, 86, 116, 90, 120, 75, 105)(66, 96, 73, 103, 87, 117, 82, 112, 77, 107)(68, 98, 80, 110, 78, 108, 88, 118, 83, 113)(70, 100, 81, 111, 89, 119, 74, 104, 85, 115)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 86)(12, 85)(13, 63)(14, 84)(15, 89)(16, 90)(17, 65)(18, 66)(19, 78)(20, 77)(21, 67)(22, 76)(23, 87)(24, 88)(25, 69)(26, 70)(27, 71)(28, 73)(29, 79)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 12, 30, 12, 30 ), ( 12, 30, 12, 30, 12, 30, 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.295
Graph:: simple bipartite
	v = 21 e = 60 f = 7
	degree seq :: [ 4^15, 10^6 ]

E17.293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, (Y1^-1, Y2), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1, Y3^-1), Y3^-1 * Y1^-1 * Y2^3, Y3^-3 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y2, Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 27, 57, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 24, 54, 29, 59, 20, 50)(13, 43, 22, 52, 26, 56, 30, 60, 19, 49)(14, 44, 21, 51, 16, 46, 25, 55, 28, 58)(61, 91, 63, 93, 73, 103, 70, 100, 81, 111, 66, 96)(62, 92, 69, 99, 82, 112, 67, 97, 76, 106, 71, 101)(64, 94, 74, 104, 80, 110, 65, 95, 75, 105, 79, 109)(68, 98, 83, 113, 86, 116, 72, 102, 85, 115, 84, 114)(77, 107, 87, 117, 90, 120, 78, 108, 88, 118, 89, 119)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 81)(10, 65)(11, 73)(12, 62)(13, 80)(14, 87)(15, 88)(16, 63)(17, 72)(18, 68)(19, 89)(20, 90)(21, 75)(22, 66)(23, 76)(24, 82)(25, 69)(26, 71)(27, 85)(28, 83)(29, 86)(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, 30, 4, 30, 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.294
Graph:: bipartite
	v = 11 e = 60 f = 17
	degree seq :: [ 10^6, 12^5 ]

E17.294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2, Y3^-2 * Y1^3, Y3^5 * Y2, (Y1^-1 * Y3^-1)^6 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 14, 44, 23, 53, 27, 57, 13, 43, 22, 52, 25, 55, 11, 41, 21, 51, 30, 60, 18, 48, 16, 46, 5, 35)(3, 33, 8, 38, 19, 49, 24, 54, 29, 59, 17, 47, 6, 36, 10, 40, 15, 45, 4, 34, 9, 39, 20, 50, 28, 58, 26, 56, 12, 42)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 79, 109)(69, 99, 81, 111)(70, 100, 82, 112)(74, 104, 84, 114)(75, 105, 85, 115)(76, 106, 86, 116)(77, 107, 87, 117)(78, 108, 88, 118)(80, 110, 90, 120)(83, 113, 89, 119)
	L = (1, 64)(2, 69)(3, 71)(4, 74)(5, 75)(6, 61)(7, 80)(8, 81)(9, 83)(10, 62)(11, 84)(12, 85)(13, 63)(14, 88)(15, 67)(16, 70)(17, 65)(18, 66)(19, 90)(20, 87)(21, 89)(22, 68)(23, 86)(24, 78)(25, 79)(26, 82)(27, 72)(28, 73)(29, 76)(30, 77)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 12, 10, 12 ), ( 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.293
Graph:: bipartite
	v = 17 e = 60 f = 11
	degree seq :: [ 4^15, 30^2 ]

E17.295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^2 * Y2^-1, (Y3^-1 * Y2)^2, (Y1^-1, Y3^-1), (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^2 * Y3 * Y1, Y2 * Y1^3 * Y3^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 16, 46, 18, 48, 5, 35)(3, 33, 9, 39, 17, 47, 4, 34, 10, 40, 15, 45)(6, 36, 11, 41, 20, 50, 7, 37, 12, 42, 19, 49)(13, 43, 23, 53, 28, 58, 14, 44, 24, 54, 27, 57)(21, 51, 25, 55, 30, 60, 22, 52, 26, 56, 29, 59)(61, 91, 63, 93, 73, 103, 86, 116, 72, 102, 78, 108, 70, 100, 84, 114, 90, 120, 80, 110, 68, 98, 77, 107, 88, 118, 81, 111, 66, 96)(62, 92, 69, 99, 83, 113, 89, 119, 79, 109, 65, 95, 75, 105, 87, 117, 82, 112, 67, 97, 76, 106, 64, 94, 74, 104, 85, 115, 71, 101)
	L = (1, 64)(2, 70)(3, 74)(4, 73)(5, 77)(6, 76)(7, 61)(8, 75)(9, 84)(10, 83)(11, 78)(12, 62)(13, 85)(14, 86)(15, 88)(16, 63)(17, 87)(18, 69)(19, 68)(20, 65)(21, 67)(22, 66)(23, 90)(24, 89)(25, 72)(26, 71)(27, 81)(28, 82)(29, 80)(30, 79)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.292
Graph:: bipartite
	v = 7 e = 60 f = 21
	degree seq :: [ 12^5, 30^2 ]

E17.296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-3 * Y1, (Y3, Y2^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3 * Y1, Y3^-5 * Y2^-1, (Y2^-1 * Y3)^5 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 17, 47)(12, 42, 18, 48)(13, 43, 19, 49)(14, 44, 20, 50)(15, 45, 21, 51)(16, 46, 22, 52)(23, 53, 27, 57)(24, 54, 28, 58)(25, 55, 29, 59)(26, 56, 30, 60)(61, 91, 63, 93, 69, 99, 62, 92, 67, 97, 65, 95)(64, 94, 71, 101, 80, 110, 68, 98, 77, 107, 74, 104)(66, 96, 72, 102, 81, 111, 70, 100, 78, 108, 75, 105)(73, 103, 83, 113, 90, 120, 79, 109, 87, 117, 86, 116)(76, 106, 84, 114, 89, 119, 82, 112, 88, 118, 85, 115)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 85)(14, 86)(15, 65)(16, 66)(17, 87)(18, 67)(19, 89)(20, 90)(21, 69)(22, 70)(23, 76)(24, 72)(25, 75)(26, 88)(27, 82)(28, 78)(29, 81)(30, 84)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 10, 30, 10, 30 ), ( 10, 30, 10, 30, 10, 30, 10, 30, 10, 30, 10, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.297
Graph:: bipartite
	v = 20 e = 60 f = 8
	degree seq :: [ 4^15, 12^5 ]

E17.297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6, 15})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1, Y2), Y1^2 * Y3^2, (Y3 * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2, Y1), Y3^-4 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1, Y3 * Y2 * Y3 * Y2^2, Y2^-1 * Y3^2 * Y2^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 5, 35)(3, 33, 9, 39, 23, 53, 21, 51, 15, 45)(4, 34, 10, 40, 7, 37, 12, 42, 18, 48)(6, 36, 11, 41, 13, 43, 24, 54, 20, 50)(14, 44, 25, 55, 16, 46, 26, 56, 30, 60)(19, 49, 27, 57, 22, 52, 28, 58, 29, 59)(61, 91, 63, 93, 73, 103, 68, 98, 83, 113, 80, 110, 65, 95, 75, 105, 71, 101, 62, 92, 69, 99, 84, 114, 77, 107, 81, 111, 66, 96)(64, 94, 74, 104, 82, 112, 67, 97, 76, 106, 89, 119, 78, 108, 90, 120, 87, 117, 70, 100, 85, 115, 88, 118, 72, 102, 86, 116, 79, 109)
	L = (1, 64)(2, 70)(3, 74)(4, 77)(5, 78)(6, 79)(7, 61)(8, 67)(9, 85)(10, 65)(11, 87)(12, 62)(13, 82)(14, 81)(15, 90)(16, 63)(17, 72)(18, 68)(19, 84)(20, 89)(21, 86)(22, 66)(23, 76)(24, 88)(25, 75)(26, 69)(27, 80)(28, 71)(29, 73)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.296
Graph:: bipartite
	v = 8 e = 60 f = 20
	degree seq :: [ 10^6, 30^2 ]

E17.298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y2), (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-1 * Y1, Y3^-5 * Y2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 17, 47)(12, 42, 18, 48)(13, 43, 19, 49)(14, 44, 20, 50)(15, 45, 21, 51)(16, 46, 22, 52)(23, 53, 27, 57)(24, 54, 28, 58)(25, 55, 29, 59)(26, 56, 30, 60)(61, 91, 63, 93, 65, 95)(62, 92, 67, 97, 69, 99)(64, 94, 71, 101, 74, 104)(66, 96, 72, 102, 75, 105)(68, 98, 77, 107, 80, 110)(70, 100, 78, 108, 81, 111)(73, 103, 83, 113, 85, 115)(76, 106, 84, 114, 86, 116)(79, 109, 87, 117, 89, 119)(82, 112, 88, 118, 90, 120)
	L = (1, 64)(2, 68)(3, 71)(4, 73)(5, 74)(6, 61)(7, 77)(8, 79)(9, 80)(10, 62)(11, 83)(12, 63)(13, 84)(14, 85)(15, 65)(16, 66)(17, 87)(18, 67)(19, 88)(20, 89)(21, 69)(22, 70)(23, 86)(24, 72)(25, 76)(26, 75)(27, 90)(28, 78)(29, 82)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30, 60, 30, 60 ), ( 30, 60, 30, 60, 30, 60 ) }
Outer automorphisms :: reflexible
Dual of E17.301
Graph:: simple bipartite
	v = 25 e = 60 f = 3
	degree seq :: [ 4^15, 6^10 ]

E17.299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (Y3^-1, Y2^-1), (R * Y2)^2, (Y2, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^5 * Y1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 13, 43)(4, 34, 9, 39, 7, 37)(6, 36, 10, 40, 16, 46)(11, 41, 19, 49, 25, 55)(12, 42, 20, 50, 14, 44)(15, 45, 21, 51, 18, 48)(17, 47, 22, 52, 23, 53)(24, 54, 29, 59, 26, 56)(27, 57, 30, 60, 28, 58)(61, 91, 63, 93, 71, 101, 83, 113, 76, 106, 65, 95, 73, 103, 85, 115, 82, 112, 70, 100, 62, 92, 68, 98, 79, 109, 77, 107, 66, 96)(64, 94, 72, 102, 84, 114, 88, 118, 78, 108, 67, 97, 74, 104, 86, 116, 90, 120, 81, 111, 69, 99, 80, 110, 89, 119, 87, 117, 75, 105)
	L = (1, 64)(2, 69)(3, 72)(4, 62)(5, 67)(6, 75)(7, 61)(8, 80)(9, 65)(10, 81)(11, 84)(12, 68)(13, 74)(14, 63)(15, 70)(16, 78)(17, 87)(18, 66)(19, 89)(20, 73)(21, 76)(22, 90)(23, 88)(24, 79)(25, 86)(26, 71)(27, 82)(28, 77)(29, 85)(30, 83)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 60, 4, 60, 4, 60 ), ( 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60, 4, 60 ) }
Outer automorphisms :: reflexible
Dual of E17.300
Graph:: bipartite
	v = 12 e = 60 f = 16
	degree seq :: [ 6^10, 30^2 ]

E17.300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, (R * Y2)^2, (R * Y3)^2, (Y1, Y3^-1), (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-2 * Y3^-1 * Y1^-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^-2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 7, 37, 17, 47, 16, 46, 6, 36, 10, 40, 20, 50, 28, 58, 23, 53, 11, 41, 21, 51, 29, 59, 24, 54, 12, 42, 3, 33, 8, 38, 18, 48, 27, 57, 25, 55, 13, 43, 22, 52, 30, 60, 26, 56, 14, 44, 4, 34, 9, 39, 19, 49, 15, 45, 5, 35)(61, 91, 63, 93)(62, 92, 68, 98)(64, 94, 71, 101)(65, 95, 72, 102)(66, 96, 73, 103)(67, 97, 78, 108)(69, 99, 81, 111)(70, 100, 82, 112)(74, 104, 83, 113)(75, 105, 84, 114)(76, 106, 85, 115)(77, 107, 87, 117)(79, 109, 89, 119)(80, 110, 90, 120)(86, 116, 88, 118)
	L = (1, 64)(2, 69)(3, 71)(4, 73)(5, 74)(6, 61)(7, 79)(8, 81)(9, 82)(10, 62)(11, 66)(12, 83)(13, 63)(14, 85)(15, 86)(16, 65)(17, 75)(18, 89)(19, 90)(20, 67)(21, 70)(22, 68)(23, 76)(24, 88)(25, 72)(26, 87)(27, 84)(28, 77)(29, 80)(30, 78)(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, 30, 6, 30 ), ( 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 6, 30, 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 E17.299
Graph:: bipartite
	v = 16 e = 60 f = 12
	degree seq :: [ 4^15, 60 ]

E17.301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, (R * Y2)^2, Y3^2 * Y2^-2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (Y2^-1, Y1^-1), Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y2 * Y1^-1 * Y3^2 * Y2, Y1^3 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1, Y2^26 * Y1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 8, 38, 17, 47, 4, 34, 10, 40, 24, 54, 21, 51, 13, 43, 26, 56, 20, 50, 7, 37, 12, 42, 18, 48, 5, 35)(3, 33, 9, 39, 23, 53, 22, 52, 14, 44, 27, 57, 19, 49, 6, 36, 11, 41, 25, 55, 30, 60, 16, 46, 28, 58, 29, 59, 15, 45)(61, 91, 63, 93, 73, 103, 71, 101, 62, 92, 69, 99, 86, 116, 85, 115, 68, 98, 83, 113, 80, 110, 90, 120, 77, 107, 82, 112, 67, 97, 76, 106, 64, 94, 74, 104, 72, 102, 88, 118, 70, 100, 87, 117, 78, 108, 89, 119, 84, 114, 79, 109, 65, 95, 75, 105, 81, 111, 66, 96)
	L = (1, 64)(2, 70)(3, 74)(4, 73)(5, 77)(6, 76)(7, 61)(8, 84)(9, 87)(10, 86)(11, 88)(12, 62)(13, 72)(14, 71)(15, 82)(16, 63)(17, 81)(18, 68)(19, 90)(20, 65)(21, 67)(22, 66)(23, 79)(24, 80)(25, 89)(26, 78)(27, 85)(28, 69)(29, 83)(30, 75)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.298
Graph:: bipartite
	v = 3 e = 60 f = 25
	degree seq :: [ 30^2, 60 ]

E17.302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y3, Y2), (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2 * Y3^4, Y2 * Y3 * Y2^3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 31, 2, 32)(3, 33, 7, 37)(4, 34, 8, 38)(5, 35, 9, 39)(6, 36, 10, 40)(11, 41, 19, 49)(12, 42, 20, 50)(13, 43, 21, 51)(14, 44, 22, 52)(15, 45, 23, 53)(16, 46, 24, 54)(17, 47, 25, 55)(18, 48, 26, 56)(27, 57, 29, 59)(28, 58, 30, 60)(61, 91, 63, 93, 71, 101, 77, 107, 66, 96, 73, 103, 87, 117, 74, 104, 78, 108, 88, 118, 75, 105, 64, 94, 72, 102, 76, 106, 65, 95)(62, 92, 67, 97, 79, 109, 85, 115, 70, 100, 81, 111, 89, 119, 82, 112, 86, 116, 90, 120, 83, 113, 68, 98, 80, 110, 84, 114, 69, 99)
	L = (1, 64)(2, 68)(3, 72)(4, 74)(5, 75)(6, 61)(7, 80)(8, 82)(9, 83)(10, 62)(11, 76)(12, 78)(13, 63)(14, 77)(15, 87)(16, 88)(17, 65)(18, 66)(19, 84)(20, 86)(21, 67)(22, 85)(23, 89)(24, 90)(25, 69)(26, 70)(27, 71)(28, 73)(29, 79)(30, 81)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 6, 60, 6, 60 ), ( 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60, 6, 60 ) }
Outer automorphisms :: reflexible
Dual of E17.303
Graph:: bipartite
	v = 17 e = 60 f = 11
	degree seq :: [ 4^15, 30^2 ]

E17.303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 15, 30})
Quotient :: dipole
Aut^+ = C30 (small group id <30, 4>)
Aut   = D60 (small group id <60, 12>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-2, Y1^3, (Y1^-1, Y2), (R * Y3)^2, (Y2, Y3), (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1^-1)^2, Y2^-5 * Y3, Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^3 * Y3 * Y2^2 * Y3^2 ]
Map:: non-degenerate
	R = (1, 31, 2, 32, 5, 35)(3, 33, 8, 38, 13, 43)(4, 34, 9, 39, 7, 37)(6, 36, 10, 40, 16, 46)(11, 41, 19, 49, 25, 55)(12, 42, 20, 50, 14, 44)(15, 45, 21, 51, 18, 48)(17, 47, 22, 52, 27, 57)(23, 53, 29, 59, 28, 58)(24, 54, 30, 60, 26, 56)(61, 91, 63, 93, 71, 101, 83, 113, 75, 105, 64, 94, 72, 102, 84, 114, 82, 112, 70, 100, 62, 92, 68, 98, 79, 109, 89, 119, 81, 111, 69, 99, 80, 110, 90, 120, 87, 117, 76, 106, 65, 95, 73, 103, 85, 115, 88, 118, 78, 108, 67, 97, 74, 104, 86, 116, 77, 107, 66, 96)
	L = (1, 64)(2, 69)(3, 72)(4, 62)(5, 67)(6, 75)(7, 61)(8, 80)(9, 65)(10, 81)(11, 84)(12, 68)(13, 74)(14, 63)(15, 70)(16, 78)(17, 83)(18, 66)(19, 90)(20, 73)(21, 76)(22, 89)(23, 82)(24, 79)(25, 86)(26, 71)(27, 88)(28, 77)(29, 87)(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) :: { ( 4, 30, 4, 30, 4, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.302
Graph:: bipartite
	v = 11 e = 60 f = 17
	degree seq :: [ 6^10, 60 ]

E17.304 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^4, (R * Y3)^2, Y2 * Y1^-2 * Y2, Y3^4, R * Y2 * R * Y1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 70, 67)(68, 75, 80, 76)(69, 78, 81, 79)(71, 82, 73, 83)(72, 85, 74, 86)(77, 84, 92, 87)(88, 93, 90, 95)(89, 94, 91, 96)(97, 99, 102, 98)(100, 108, 112, 107)(101, 111, 113, 110)(103, 115, 105, 114)(104, 118, 106, 117)(109, 119, 124, 116)(120, 127, 122, 125)(121, 128, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.308
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.305 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^4, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 83, 81)(71, 82, 84, 80)(74, 85, 78, 87)(76, 88, 77, 86)(89, 93, 92, 96)(90, 94, 91, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 115, 114)(103, 113, 116, 111)(106, 118, 110, 120)(108, 119, 109, 117)(121, 127, 124, 126)(122, 128, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.309
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.306 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, R * Y2 * R * Y1, Y3^4, Y1^4, (R * Y3)^2, Y2^4, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: 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, 14, 46, 24, 56)(11, 43, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(20, 52, 31, 63, 22, 54, 32, 64)(65, 66, 70, 68)(67, 73, 80, 75)(69, 78, 81, 79)(71, 82, 76, 84)(72, 85, 77, 86)(74, 83, 92, 89)(87, 93, 90, 95)(88, 94, 91, 96)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 115, 124, 121)(119, 125, 122, 127)(120, 126, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.310
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.307 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 75>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1^-1, Y3^4, Y2 * Y3^2 * Y1^-1, Y2 * Y3^-2 * Y1^-1, (Y2 * Y1^-1)^2, Y3 * Y1 * Y2^-1 * Y3, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y2^4, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 83, 79)(71, 78, 84, 80)(74, 85, 81, 87)(76, 86, 82, 88)(89, 93, 91, 95)(90, 94, 92, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 115, 112)(103, 109, 116, 111)(106, 118, 113, 120)(108, 117, 114, 119)(121, 126, 123, 128)(122, 125, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.311
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.308 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1^4, (R * Y3)^2, Y2 * Y1^-2 * Y2, Y3^4, R * Y2 * R * Y1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y2 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 48)(12, 36)(13, 52)(14, 49)(15, 37)(16, 44)(17, 47)(18, 41)(19, 39)(20, 60)(21, 42)(22, 40)(23, 45)(24, 61)(25, 62)(26, 63)(27, 64)(28, 55)(29, 58)(30, 59)(31, 56)(32, 57)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 100)(76, 112)(77, 119)(78, 101)(79, 113)(80, 107)(81, 110)(82, 103)(83, 105)(84, 109)(85, 104)(86, 106)(87, 124)(88, 127)(89, 128)(90, 125)(91, 126)(92, 116)(93, 120)(94, 121)(95, 122)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.304
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.309 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^-1 * Y1^-1, Y3^4, Y2^2 * Y1^2, (Y2^-1, Y1^-1), Y1^4, (R * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3, R * Y1 * R * Y2, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 53)(11, 35)(12, 56)(13, 54)(14, 55)(15, 51)(16, 39)(17, 36)(18, 52)(19, 49)(20, 48)(21, 46)(22, 44)(23, 42)(24, 45)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 58)(32, 57)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 120)(79, 103)(80, 115)(81, 116)(82, 100)(83, 114)(84, 111)(85, 108)(86, 110)(87, 109)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.305
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.310 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, R * Y2 * R * Y1, Y3^4, Y1^4, (R * Y3)^2, Y2^4, Y1 * Y3^-1 * Y1^2 * Y3 * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 19, 51, 83, 115, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 25, 57, 89, 121, 13, 45, 77, 109)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(9, 41, 73, 105, 23, 55, 87, 119, 14, 46, 78, 110, 24, 56, 88, 120)(11, 43, 75, 107, 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)(20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 50)(8, 53)(9, 48)(10, 51)(11, 35)(12, 52)(13, 54)(14, 49)(15, 37)(16, 43)(17, 47)(18, 44)(19, 60)(20, 39)(21, 45)(22, 40)(23, 61)(24, 62)(25, 42)(26, 63)(27, 64)(28, 57)(29, 58)(30, 59)(31, 55)(32, 56)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 114)(72, 117)(73, 112)(74, 115)(75, 99)(76, 116)(77, 118)(78, 113)(79, 101)(80, 107)(81, 111)(82, 108)(83, 124)(84, 103)(85, 109)(86, 104)(87, 125)(88, 126)(89, 106)(90, 127)(91, 128)(92, 121)(93, 122)(94, 123)(95, 119)(96, 120)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.306
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.311 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 75>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2 * Y1^-1, Y3^4, Y2 * Y3^2 * Y1^-1, Y2 * Y3^-2 * Y1^-1, (Y2 * Y1^-1)^2, Y3 * Y1 * Y2^-1 * Y3, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y2^4, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 53)(11, 35)(12, 54)(13, 51)(14, 52)(15, 36)(16, 39)(17, 55)(18, 56)(19, 47)(20, 48)(21, 49)(22, 50)(23, 42)(24, 44)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 116)(78, 115)(79, 103)(80, 100)(81, 120)(82, 119)(83, 112)(84, 111)(85, 114)(86, 113)(87, 108)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.307
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 12, 44)(4, 36, 9, 41, 19, 51, 13, 45)(6, 38, 16, 48, 20, 52, 17, 49)(8, 40, 21, 53, 14, 46, 22, 54)(10, 42, 23, 55, 15, 47, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 78, 110, 77, 109, 79, 111)(71, 103, 82, 114, 83, 115, 84, 116)(75, 107, 89, 121, 80, 112, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(85, 117, 93, 125, 87, 119, 94, 126)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 77)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 80)(12, 81)(13, 69)(14, 79)(15, 78)(16, 75)(17, 76)(18, 84)(19, 71)(20, 82)(21, 87)(22, 88)(23, 85)(24, 86)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2) : C4 (small group id <32, 2>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 73>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1^4, Y2^4, Y1 * Y3 * Y2 * Y1 * Y2^-1, Y1 * Y3 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 21, 53, 14, 46)(4, 36, 9, 41, 22, 54, 15, 47)(6, 38, 19, 51, 23, 55, 20, 52)(8, 40, 13, 45, 17, 49, 25, 57)(10, 42, 16, 48, 18, 50, 26, 58)(12, 44, 24, 56, 31, 63, 29, 61)(27, 59, 28, 60, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 77, 109, 92, 124, 80, 112)(69, 101, 81, 113, 93, 125, 82, 114)(71, 103, 85, 117, 95, 127, 87, 119)(73, 105, 78, 110, 94, 126, 84, 116)(75, 107, 91, 123, 83, 115, 79, 111)(86, 118, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 86)(8, 78)(9, 66)(10, 84)(11, 81)(12, 92)(13, 67)(14, 72)(15, 69)(16, 70)(17, 75)(18, 83)(19, 82)(20, 74)(21, 89)(22, 71)(23, 90)(24, 94)(25, 85)(26, 87)(27, 93)(28, 76)(29, 91)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.314 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (R * Y3)^2, Y3^4, Y2^4, R * Y1 * R * Y2, Y1^4, (Y2 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 70, 67)(68, 75, 81, 76)(69, 78, 80, 79)(71, 82, 74, 83)(72, 85, 73, 86)(77, 84, 92, 87)(88, 94, 91, 95)(89, 93, 90, 96)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 112, 110)(103, 115, 106, 114)(104, 118, 105, 117)(109, 119, 124, 116)(120, 127, 123, 126)(121, 128, 122, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.322
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.315 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y3^2 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), Y2 * Y1 * Y3^2, (R * Y3)^2, Y1 * Y3^-2 * Y2, Y1^4, Y3 * Y1 * Y2 * Y3, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y3 * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 84, 81)(71, 82, 83, 80)(74, 85, 77, 87)(76, 88, 78, 86)(89, 94, 91, 96)(90, 93, 92, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 116, 114)(103, 113, 115, 111)(106, 118, 109, 120)(108, 119, 110, 117)(121, 127, 123, 125)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.323
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.316 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^4, Y1^-1 * Y2^-2 * Y1^-1, Y3^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 16, 48, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 17, 49, 29, 61, 18, 50)(6, 38, 15, 47, 28, 60, 19, 51)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 24, 56, 32, 64, 26, 58)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 84, 77)(71, 78, 85, 83)(74, 88, 81, 86)(76, 87, 82, 90)(80, 93, 94, 89)(91, 96, 92, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 106, 116, 113)(103, 114, 117, 108)(109, 118, 111, 120)(110, 122, 115, 119)(112, 124, 126, 123)(121, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.324
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.317 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, (Y2, Y1^-1), Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^4, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 16, 48, 7, 39)(2, 34, 10, 42, 24, 56, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 15, 47, 28, 60, 18, 50)(6, 38, 17, 49, 29, 61, 19, 51)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 25, 57, 32, 64, 26, 58)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 84, 81)(71, 83, 85, 78)(74, 86, 79, 89)(76, 90, 82, 87)(80, 92, 94, 88)(91, 96, 93, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 111, 116, 106)(103, 108, 117, 114)(109, 121, 113, 118)(110, 119, 115, 122)(112, 125, 126, 123)(120, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.325
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.318 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^4, Y3^4, Y1^2 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 17, 49, 8, 40)(4, 36, 11, 43, 23, 55, 12, 44)(6, 38, 14, 46, 27, 59, 15, 47)(9, 41, 19, 51, 28, 60, 20, 52)(13, 45, 21, 53, 26, 58, 25, 57)(16, 48, 29, 61, 24, 56, 30, 62)(18, 50, 31, 63, 22, 54, 32, 64)(65, 66, 70, 68)(67, 73, 82, 72)(69, 75, 86, 77)(71, 80, 92, 79)(74, 85, 91, 84)(76, 78, 90, 88)(81, 95, 87, 94)(83, 93, 89, 96)(97, 98, 102, 100)(99, 105, 114, 104)(101, 107, 118, 109)(103, 112, 124, 111)(106, 117, 123, 116)(108, 110, 122, 120)(113, 127, 119, 126)(115, 125, 121, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.326
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.319 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (Y2^-1 * Y1^-1)^2, Y2^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1^2 * Y2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1 * Y2 * Y3^-2 * Y1^-2, Y2^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 16, 48, 8, 40)(4, 36, 12, 44, 20, 52, 9, 41)(6, 38, 14, 46, 26, 58, 15, 47)(11, 43, 23, 55, 28, 60, 21, 53)(13, 45, 22, 54, 27, 59, 25, 57)(17, 49, 31, 63, 19, 51, 29, 61)(18, 50, 30, 62, 24, 56, 32, 64)(65, 66, 70, 68)(67, 73, 83, 75)(69, 77, 81, 71)(72, 82, 91, 78)(74, 85, 90, 86)(76, 79, 92, 88)(80, 93, 84, 94)(87, 95, 89, 96)(97, 98, 102, 100)(99, 105, 115, 107)(101, 109, 113, 103)(104, 114, 123, 110)(106, 117, 122, 118)(108, 111, 124, 120)(112, 125, 116, 126)(119, 127, 121, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.327
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.320 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y1^4, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y1^-1 * Y3^-1)^2, (Y2^-1, Y1^-1), Y2^4, Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 18, 50, 28, 60, 15, 47)(6, 38, 19, 51, 29, 61, 16, 48)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 26, 58, 32, 64, 24, 56)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 86, 78)(71, 83, 87, 74)(76, 90, 80, 84)(77, 88, 82, 85)(81, 91, 94, 93)(89, 95, 92, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 118, 108)(103, 114, 119, 109)(106, 120, 115, 117)(110, 122, 111, 116)(113, 121, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.328
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.321 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y1^4, (R * Y3)^2, Y3^4, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (Y3 * Y1^-1)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 25, 57, 12, 44)(3, 35, 13, 45, 27, 59, 14, 46)(5, 37, 18, 50, 29, 61, 16, 48)(6, 38, 19, 51, 28, 60, 15, 47)(8, 40, 20, 52, 30, 62, 21, 53)(9, 41, 22, 54, 31, 63, 23, 55)(11, 43, 26, 58, 32, 64, 24, 56)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 86, 76)(71, 82, 87, 77)(74, 88, 83, 85)(78, 90, 80, 84)(81, 91, 94, 92)(89, 95, 93, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 118, 110)(103, 115, 119, 106)(108, 122, 111, 116)(109, 120, 114, 117)(113, 121, 126, 125)(123, 127, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.329
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.322 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, (R * Y3)^2, Y3^4, Y2^4, R * Y1 * R * Y2, Y1^4, (Y2 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 54)(10, 51)(11, 49)(12, 36)(13, 52)(14, 48)(15, 37)(16, 47)(17, 44)(18, 42)(19, 39)(20, 60)(21, 41)(22, 40)(23, 45)(24, 62)(25, 61)(26, 64)(27, 63)(28, 55)(29, 58)(30, 59)(31, 56)(32, 57)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 117)(74, 114)(75, 100)(76, 113)(77, 119)(78, 101)(79, 112)(80, 110)(81, 107)(82, 103)(83, 106)(84, 109)(85, 104)(86, 105)(87, 124)(88, 127)(89, 128)(90, 125)(91, 126)(92, 116)(93, 121)(94, 120)(95, 123)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.314
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.323 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y3^2 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), Y2 * Y1 * Y3^2, (R * Y3)^2, Y1 * Y3^-2 * Y2, Y1^4, Y3 * Y1 * Y2 * Y3, R * Y1 * R * Y2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2 * Y3 * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 53)(11, 35)(12, 56)(13, 55)(14, 54)(15, 52)(16, 39)(17, 36)(18, 51)(19, 48)(20, 49)(21, 45)(22, 44)(23, 42)(24, 46)(25, 62)(26, 61)(27, 64)(28, 63)(29, 60)(30, 59)(31, 58)(32, 57)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 120)(78, 117)(79, 103)(80, 116)(81, 115)(82, 100)(83, 111)(84, 114)(85, 108)(86, 109)(87, 110)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.315
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.324 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^4, Y1^-1 * Y2^-2 * Y1^-1, Y3^4, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 16, 48, 80, 112, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 17, 49, 81, 113, 29, 61, 93, 125, 18, 50, 82, 114)(6, 38, 70, 102, 15, 47, 79, 111, 28, 60, 92, 124, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 24, 56, 88, 120, 32, 64, 96, 128, 26, 58, 90, 122)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 56)(11, 35)(12, 55)(13, 36)(14, 53)(15, 52)(16, 61)(17, 54)(18, 58)(19, 39)(20, 45)(21, 51)(22, 42)(23, 50)(24, 49)(25, 48)(26, 44)(27, 64)(28, 63)(29, 62)(30, 57)(31, 59)(32, 60)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 116)(75, 98)(76, 103)(77, 118)(78, 122)(79, 120)(80, 124)(81, 100)(82, 117)(83, 119)(84, 113)(85, 108)(86, 111)(87, 110)(88, 109)(89, 128)(90, 115)(91, 112)(92, 126)(93, 127)(94, 123)(95, 121)(96, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.316
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.325 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, (Y2, Y1^-1), Y2^4, R * Y1 * R * Y2, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^4, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 16, 48, 80, 112, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 24, 56, 88, 120, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 15, 47, 79, 111, 28, 60, 92, 124, 18, 50, 82, 114)(6, 38, 70, 102, 17, 49, 81, 113, 29, 61, 93, 125, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 25, 57, 89, 121, 32, 64, 96, 128, 26, 58, 90, 122)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 51)(8, 37)(9, 38)(10, 54)(11, 35)(12, 58)(13, 52)(14, 39)(15, 57)(16, 60)(17, 36)(18, 55)(19, 53)(20, 49)(21, 46)(22, 47)(23, 44)(24, 48)(25, 42)(26, 50)(27, 64)(28, 62)(29, 63)(30, 56)(31, 59)(32, 61)(65, 99)(66, 105)(67, 104)(68, 111)(69, 107)(70, 97)(71, 108)(72, 102)(73, 101)(74, 100)(75, 98)(76, 117)(77, 121)(78, 119)(79, 116)(80, 125)(81, 118)(82, 103)(83, 122)(84, 106)(85, 114)(86, 109)(87, 115)(88, 128)(89, 113)(90, 110)(91, 112)(92, 127)(93, 126)(94, 123)(95, 120)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.317
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.326 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y2)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^4, Y3^4, Y1^2 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 17, 49, 81, 113, 8, 40, 72, 104)(4, 36, 68, 100, 11, 43, 75, 107, 23, 55, 87, 119, 12, 44, 76, 108)(6, 38, 70, 102, 14, 46, 78, 110, 27, 59, 91, 123, 15, 47, 79, 111)(9, 41, 73, 105, 19, 51, 83, 115, 28, 60, 92, 124, 20, 52, 84, 116)(13, 45, 77, 109, 21, 53, 85, 117, 26, 58, 90, 122, 25, 57, 89, 121)(16, 48, 80, 112, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(18, 50, 82, 114, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 43)(6, 36)(7, 48)(8, 35)(9, 50)(10, 53)(11, 54)(12, 46)(13, 37)(14, 58)(15, 39)(16, 60)(17, 63)(18, 40)(19, 61)(20, 42)(21, 59)(22, 45)(23, 62)(24, 44)(25, 64)(26, 56)(27, 52)(28, 47)(29, 57)(30, 49)(31, 55)(32, 51)(65, 98)(66, 102)(67, 105)(68, 97)(69, 107)(70, 100)(71, 112)(72, 99)(73, 114)(74, 117)(75, 118)(76, 110)(77, 101)(78, 122)(79, 103)(80, 124)(81, 127)(82, 104)(83, 125)(84, 106)(85, 123)(86, 109)(87, 126)(88, 108)(89, 128)(90, 120)(91, 116)(92, 111)(93, 121)(94, 113)(95, 119)(96, 115)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.318
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.327 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, (Y2^-1 * Y1^-1)^2, Y2^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y1^2 * Y2, Y3^4, Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1 * Y2 * Y3^-2 * Y1^-2, Y2^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 16, 48, 80, 112, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 20, 52, 84, 116, 9, 41, 73, 105)(6, 38, 70, 102, 14, 46, 78, 110, 26, 58, 90, 122, 15, 47, 79, 111)(11, 43, 75, 107, 23, 55, 87, 119, 28, 60, 92, 124, 21, 53, 85, 117)(13, 45, 77, 109, 22, 54, 86, 118, 27, 59, 91, 123, 25, 57, 89, 121)(17, 49, 81, 113, 31, 63, 95, 127, 19, 51, 83, 115, 29, 61, 93, 125)(18, 50, 82, 114, 30, 62, 94, 126, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 45)(6, 36)(7, 37)(8, 50)(9, 51)(10, 53)(11, 35)(12, 47)(13, 49)(14, 40)(15, 60)(16, 61)(17, 39)(18, 59)(19, 43)(20, 62)(21, 58)(22, 42)(23, 63)(24, 44)(25, 64)(26, 54)(27, 46)(28, 56)(29, 52)(30, 48)(31, 57)(32, 55)(65, 98)(66, 102)(67, 105)(68, 97)(69, 109)(70, 100)(71, 101)(72, 114)(73, 115)(74, 117)(75, 99)(76, 111)(77, 113)(78, 104)(79, 124)(80, 125)(81, 103)(82, 123)(83, 107)(84, 126)(85, 122)(86, 106)(87, 127)(88, 108)(89, 128)(90, 118)(91, 110)(92, 120)(93, 116)(94, 112)(95, 121)(96, 119)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.319
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.328 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y1^4, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y1^-1 * Y3^-1)^2, (Y2^-1, Y1^-1), Y2^4, Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y2^2 * Y3^-1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 28, 60, 92, 124, 15, 47, 79, 111)(6, 38, 70, 102, 19, 51, 83, 115, 29, 61, 93, 125, 16, 48, 80, 112)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 24, 56, 88, 120)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 51)(8, 37)(9, 38)(10, 39)(11, 35)(12, 58)(13, 56)(14, 36)(15, 54)(16, 52)(17, 59)(18, 53)(19, 55)(20, 44)(21, 45)(22, 46)(23, 42)(24, 50)(25, 63)(26, 48)(27, 62)(28, 64)(29, 49)(30, 61)(31, 60)(32, 57)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 120)(75, 98)(76, 100)(77, 103)(78, 122)(79, 116)(80, 118)(81, 121)(82, 119)(83, 117)(84, 110)(85, 106)(86, 108)(87, 109)(88, 115)(89, 126)(90, 111)(91, 127)(92, 113)(93, 128)(94, 124)(95, 125)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.320
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.329 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = ((C4 x C2) : C2) : C2 (small group id <32, 6>)
Aut   = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y1^4, (R * Y3)^2, Y3^4, (Y2^-1, Y1^-1), R * Y1 * R * Y2, (Y3 * Y1^-1)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1, (Y3 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 25, 57, 89, 121, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 27, 59, 91, 123, 14, 46, 78, 110)(5, 37, 69, 101, 18, 50, 82, 114, 29, 61, 93, 125, 16, 48, 80, 112)(6, 38, 70, 102, 19, 51, 83, 115, 28, 60, 92, 124, 15, 47, 79, 111)(8, 40, 72, 104, 20, 52, 84, 116, 30, 62, 94, 126, 21, 53, 85, 117)(9, 41, 73, 105, 22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119)(11, 43, 75, 107, 26, 58, 90, 122, 32, 64, 96, 128, 24, 56, 88, 120)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 56)(11, 35)(12, 36)(13, 39)(14, 58)(15, 54)(16, 52)(17, 59)(18, 55)(19, 53)(20, 46)(21, 42)(22, 44)(23, 45)(24, 51)(25, 63)(26, 48)(27, 62)(28, 49)(29, 64)(30, 60)(31, 61)(32, 57)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 115)(72, 102)(73, 101)(74, 103)(75, 98)(76, 122)(77, 120)(78, 100)(79, 116)(80, 118)(81, 121)(82, 117)(83, 119)(84, 108)(85, 109)(86, 110)(87, 106)(88, 114)(89, 126)(90, 111)(91, 127)(92, 128)(93, 113)(94, 125)(95, 124)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.321
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.330 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^4, Y1^4, (R * Y1)^2, Y2^4, (R * Y3)^2, Y1^4, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, (Y1 * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^4, (Y2^-1, Y1^-1)^2 ]
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, 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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^2, Y2^2 * Y3, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, (Y1 * Y2^-1 * Y1)^2, (Y1^-1 * Y2^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 12, 44)(4, 36, 9, 41, 19, 51, 13, 45)(6, 38, 16, 48, 18, 50, 17, 49)(8, 40, 21, 53, 15, 47, 22, 54)(10, 42, 23, 55, 14, 46, 24, 56)(25, 57, 30, 62, 28, 60, 31, 63)(26, 58, 29, 61, 27, 59, 32, 64)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 78, 110, 77, 109, 79, 111)(71, 103, 82, 114, 83, 115, 84, 116)(75, 107, 89, 121, 80, 112, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(85, 117, 93, 125, 87, 119, 94, 126)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 77)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 80)(12, 81)(13, 69)(14, 79)(15, 78)(16, 75)(17, 76)(18, 84)(19, 71)(20, 82)(21, 87)(22, 88)(23, 85)(24, 86)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3^2, R^2, Y3 * Y2^-2, Y3 * Y2^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 24, 56, 10, 42)(4, 36, 12, 44, 19, 51, 13, 45)(6, 38, 14, 46, 29, 61, 17, 49)(8, 40, 21, 53, 26, 58, 20, 52)(9, 41, 22, 54, 15, 47, 23, 55)(16, 48, 18, 50, 27, 59, 30, 62)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 78, 110, 79, 111, 80, 112)(71, 103, 82, 114, 83, 115, 84, 116)(75, 107, 89, 121, 90, 122, 77, 109)(76, 108, 91, 123, 92, 124, 81, 113)(85, 117, 95, 127, 94, 126, 87, 119)(86, 118, 93, 125, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 79)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 90)(12, 92)(13, 89)(14, 80)(15, 69)(16, 78)(17, 91)(18, 84)(19, 71)(20, 82)(21, 94)(22, 96)(23, 95)(24, 93)(25, 77)(26, 75)(27, 81)(28, 76)(29, 88)(30, 85)(31, 87)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3^2, R^2, Y2^-1 * Y3 * Y2^-1, (Y1 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 25, 57, 12, 44)(4, 36, 13, 45, 19, 51, 14, 46)(6, 38, 17, 49, 21, 53, 8, 40)(9, 41, 22, 54, 16, 48, 23, 55)(10, 42, 24, 56, 28, 60, 18, 50)(15, 47, 20, 52, 27, 59, 30, 62)(26, 58, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 79, 111, 80, 112, 75, 107)(71, 103, 82, 114, 83, 115, 84, 116)(76, 108, 90, 122, 91, 123, 77, 109)(78, 110, 92, 124, 93, 125, 81, 113)(85, 117, 95, 127, 89, 121, 86, 118)(87, 119, 94, 126, 96, 128, 88, 120)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 80)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 79)(12, 91)(13, 90)(14, 93)(15, 75)(16, 69)(17, 92)(18, 84)(19, 71)(20, 82)(21, 89)(22, 95)(23, 96)(24, 94)(25, 85)(26, 77)(27, 76)(28, 81)(29, 78)(30, 88)(31, 86)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3^2, R^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, Y2^4, Y1^4, (Y2 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^2, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 26, 58, 10, 42)(4, 36, 14, 46, 22, 54, 15, 47)(6, 38, 17, 49, 31, 63, 20, 52)(8, 40, 13, 45, 29, 61, 23, 55)(9, 41, 25, 57, 18, 50, 12, 44)(16, 48, 19, 51, 21, 53, 24, 56)(27, 59, 28, 60, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 78, 110, 74, 106)(68, 100, 77, 109, 92, 124, 80, 112)(69, 101, 81, 113, 79, 111, 83, 115)(71, 103, 85, 117, 89, 121, 87, 119)(73, 105, 88, 120, 94, 126, 84, 116)(75, 107, 91, 123, 93, 125, 82, 114)(86, 118, 95, 127, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 80)(7, 86)(8, 88)(9, 66)(10, 84)(11, 81)(12, 92)(13, 67)(14, 94)(15, 91)(16, 70)(17, 75)(18, 69)(19, 93)(20, 74)(21, 95)(22, 71)(23, 90)(24, 72)(25, 96)(26, 87)(27, 79)(28, 76)(29, 83)(30, 78)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 :: [ Y3^2, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (Y2 * R)^2, Y2^4, Y1^4, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y1 * Y3, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y3, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 27, 59, 14, 46)(4, 36, 15, 47, 22, 54, 16, 48)(6, 38, 20, 52, 24, 56, 8, 40)(9, 41, 25, 57, 19, 51, 12, 44)(10, 42, 17, 49, 31, 63, 21, 53)(13, 45, 18, 50, 23, 55, 26, 58)(28, 60, 29, 61, 32, 64, 30, 62)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 79, 111, 74, 106)(68, 100, 77, 109, 92, 124, 81, 113)(69, 101, 82, 114, 80, 112, 75, 107)(71, 103, 85, 117, 89, 121, 87, 119)(73, 105, 78, 110, 93, 125, 90, 122)(83, 115, 95, 127, 94, 126, 84, 116)(86, 118, 88, 120, 96, 128, 91, 123)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 83)(6, 81)(7, 86)(8, 78)(9, 66)(10, 90)(11, 84)(12, 92)(13, 67)(14, 72)(15, 93)(16, 94)(17, 70)(18, 95)(19, 69)(20, 75)(21, 88)(22, 71)(23, 91)(24, 85)(25, 96)(26, 74)(27, 87)(28, 76)(29, 79)(30, 80)(31, 82)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.336 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 97>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2 * Y1 * Y3^2, Y2^4, Y3^2 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y1 * Y3^-2 * Y2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1, Y1^-1 * Y3^-10 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 83, 81)(71, 82, 84, 80)(74, 85, 78, 87)(76, 88, 77, 86)(89, 94, 92, 95)(90, 93, 91, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 115, 114)(103, 113, 116, 111)(106, 118, 110, 120)(108, 119, 109, 117)(121, 128, 124, 125)(122, 127, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.347
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.337 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2 * Y1^-2 * Y2, Y1^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 70, 67)(68, 75, 80, 76)(69, 78, 81, 79)(71, 82, 73, 83)(72, 85, 74, 86)(77, 84, 92, 87)(88, 94, 90, 96)(89, 93, 91, 95)(97, 99, 102, 98)(100, 108, 112, 107)(101, 111, 113, 110)(103, 115, 105, 114)(104, 118, 106, 117)(109, 119, 124, 116)(120, 128, 122, 126)(121, 127, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.348
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.338 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1 * Y2^-2 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 70, 67)(68, 75, 80, 76)(69, 78, 81, 79)(71, 82, 73, 83)(72, 85, 74, 86)(77, 84, 92, 87)(88, 95, 90, 93)(89, 96, 91, 94)(97, 99, 102, 98)(100, 108, 112, 107)(101, 111, 113, 110)(103, 115, 105, 114)(104, 118, 106, 117)(109, 119, 124, 116)(120, 125, 122, 127)(121, 126, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.349
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.339 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2, Y1^4, R * Y1 * R * Y2, Y2^4, (R * Y3)^2, Y3^4, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y3^-1 * Y2^-2)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 28, 60, 12, 44)(3, 35, 14, 46, 26, 58, 16, 48)(5, 37, 19, 51, 31, 63, 20, 52)(6, 38, 18, 50, 24, 56, 21, 53)(8, 40, 22, 54, 32, 64, 23, 55)(9, 41, 25, 57, 13, 45, 27, 59)(11, 43, 29, 61, 15, 47, 30, 62)(65, 66, 72, 69)(67, 77, 70, 79)(68, 78, 86, 82)(71, 80, 87, 85)(73, 88, 75, 90)(74, 89, 83, 93)(76, 91, 84, 94)(81, 92, 96, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 106, 118, 115)(103, 108, 119, 116)(109, 127, 111, 124)(110, 123, 114, 126)(112, 121, 117, 125)(113, 122, 128, 120)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.350
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.340 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^-1 * Y1^-3, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y2^4, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: 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, 14, 46, 24, 56)(11, 43, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(20, 52, 31, 63, 22, 54, 32, 64)(65, 66, 70, 68)(67, 73, 80, 75)(69, 78, 81, 79)(71, 82, 76, 84)(72, 85, 77, 86)(74, 83, 92, 89)(87, 95, 90, 93)(88, 96, 91, 94)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 115, 124, 121)(119, 127, 122, 125)(120, 128, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.351
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.341 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1, Y1 * Y3^-2 * Y1, (R * Y3)^2, Y2^4, Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y3^2 * Y2^-1, R * Y1 * R * Y2, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 8, 40, 7, 39)(2, 34, 10, 42, 5, 37, 12, 44)(3, 35, 13, 45, 6, 38, 14, 46)(9, 41, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 17, 49, 26, 58)(16, 48, 27, 59, 18, 50, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 75, 70, 73)(68, 79, 71, 81)(74, 85, 76, 87)(77, 86, 78, 88)(80, 83, 82, 84)(89, 94, 90, 93)(91, 95, 92, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 103, 114)(106, 118, 108, 120)(109, 119, 110, 117)(111, 116, 113, 115)(121, 127, 122, 128)(123, 125, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.352
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.342 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2^4, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-2, Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 28, 60, 12, 44)(3, 35, 14, 46, 26, 58, 16, 48)(5, 37, 20, 52, 31, 63, 19, 51)(6, 38, 21, 53, 24, 56, 18, 50)(8, 40, 22, 54, 32, 64, 23, 55)(9, 41, 25, 57, 13, 45, 27, 59)(11, 43, 30, 62, 15, 47, 29, 61)(65, 66, 72, 69)(67, 77, 70, 79)(68, 80, 86, 82)(71, 78, 87, 85)(73, 88, 75, 90)(74, 91, 84, 93)(76, 89, 83, 94)(81, 92, 96, 95)(97, 99, 104, 102)(98, 105, 101, 107)(100, 108, 118, 115)(103, 106, 119, 116)(109, 127, 111, 124)(110, 121, 117, 126)(112, 123, 114, 125)(113, 122, 128, 120)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.353
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.343 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y1^-1 * Y2^-1 * Y3^2, (Y1^-1, Y2), Y1^4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 83, 81)(71, 82, 84, 80)(74, 85, 78, 87)(76, 88, 77, 86)(89, 96, 92, 93)(90, 95, 91, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 115, 114)(103, 113, 116, 111)(106, 118, 110, 120)(108, 119, 109, 117)(121, 126, 124, 127)(122, 125, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.354
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.344 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y2^-1 * Y1^-1 * Y3^2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-1, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 83, 81)(71, 82, 84, 80)(74, 85, 78, 87)(76, 88, 77, 86)(89, 95, 92, 94)(90, 96, 91, 93)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 115, 114)(103, 113, 116, 111)(106, 118, 110, 120)(108, 119, 109, 117)(121, 125, 124, 128)(122, 126, 123, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.355
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.345 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y1^-1 * Y3^-2 * Y2, Y2 * Y3^2 * Y1^-1, Y2 * Y3^-2 * Y1^-1, Y2 * Y1^-1 * Y3^2, Y1^4, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 83, 79)(71, 78, 84, 80)(74, 85, 81, 87)(76, 86, 82, 88)(89, 95, 91, 93)(90, 96, 92, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 115, 112)(103, 109, 116, 111)(106, 118, 113, 120)(108, 117, 114, 119)(121, 128, 123, 126)(122, 127, 124, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.356
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.346 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, Y1 * Y3^-2 * Y1, (Y2, Y1^-1), Y2^4, Y3^4, Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y3^-2 * Y2, Y2^2 * Y3^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 8, 40, 7, 39)(2, 34, 10, 42, 5, 37, 12, 44)(3, 35, 13, 45, 6, 38, 14, 46)(9, 41, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 17, 49, 26, 58)(16, 48, 27, 59, 18, 50, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 71, 81)(74, 85, 76, 87)(77, 86, 78, 88)(80, 83, 82, 84)(89, 95, 90, 96)(91, 93, 92, 94)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 103, 114)(106, 118, 108, 120)(109, 117, 110, 119)(111, 115, 113, 116)(121, 125, 122, 126)(123, 127, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.357
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.347 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 97>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2 * Y1 * Y3^2, Y2^4, Y3^2 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), (R * Y3)^2, R * Y1 * R * Y2, Y1^4, Y1 * Y3^-2 * Y2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1, Y1^-1 * Y3^-10 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 53)(11, 35)(12, 56)(13, 54)(14, 55)(15, 51)(16, 39)(17, 36)(18, 52)(19, 49)(20, 48)(21, 46)(22, 44)(23, 42)(24, 45)(25, 62)(26, 61)(27, 64)(28, 63)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 120)(79, 103)(80, 115)(81, 116)(82, 100)(83, 114)(84, 111)(85, 108)(86, 110)(87, 109)(88, 106)(89, 128)(90, 127)(91, 126)(92, 125)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.336
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.348 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 98>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y2 * Y1^-2 * Y2, Y1^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y3 * Y1^-1 * Y2 * Y3^-1 * Y1^-2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 48)(12, 36)(13, 52)(14, 49)(15, 37)(16, 44)(17, 47)(18, 41)(19, 39)(20, 60)(21, 42)(22, 40)(23, 45)(24, 62)(25, 61)(26, 64)(27, 63)(28, 55)(29, 59)(30, 58)(31, 57)(32, 56)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 100)(76, 112)(77, 119)(78, 101)(79, 113)(80, 107)(81, 110)(82, 103)(83, 105)(84, 109)(85, 104)(86, 106)(87, 124)(88, 128)(89, 127)(90, 126)(91, 125)(92, 116)(93, 121)(94, 120)(95, 123)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.337
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.349 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x C2 x Q8) : C2 (small group id <64, 129>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y1 * Y2^-2 * Y1, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-2, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 48)(12, 36)(13, 52)(14, 49)(15, 37)(16, 44)(17, 47)(18, 41)(19, 39)(20, 60)(21, 42)(22, 40)(23, 45)(24, 63)(25, 64)(26, 61)(27, 62)(28, 55)(29, 56)(30, 57)(31, 58)(32, 59)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 100)(76, 112)(77, 119)(78, 101)(79, 113)(80, 107)(81, 110)(82, 103)(83, 105)(84, 109)(85, 104)(86, 106)(87, 124)(88, 125)(89, 126)(90, 127)(91, 128)(92, 116)(93, 122)(94, 123)(95, 120)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.338
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.350 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2, Y1^4, R * Y1 * R * Y2, Y2^4, (R * Y3)^2, Y3^4, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1^-1, Y3^-2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y3^-1 * Y2^-2)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 26, 58, 90, 122, 16, 48, 80, 112)(5, 37, 69, 101, 19, 51, 83, 115, 31, 63, 95, 127, 20, 52, 84, 116)(6, 38, 70, 102, 18, 50, 82, 114, 24, 56, 88, 120, 21, 53, 85, 117)(8, 40, 72, 104, 22, 54, 86, 118, 32, 64, 96, 128, 23, 55, 87, 119)(9, 41, 73, 105, 25, 57, 89, 121, 13, 45, 77, 109, 27, 59, 91, 123)(11, 43, 75, 107, 29, 61, 93, 125, 15, 47, 79, 111, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 45)(4, 46)(5, 33)(6, 47)(7, 48)(8, 37)(9, 56)(10, 57)(11, 58)(12, 59)(13, 38)(14, 54)(15, 35)(16, 55)(17, 60)(18, 36)(19, 61)(20, 62)(21, 39)(22, 50)(23, 53)(24, 43)(25, 51)(26, 41)(27, 52)(28, 64)(29, 42)(30, 44)(31, 49)(32, 63)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 108)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 127)(78, 123)(79, 124)(80, 121)(81, 122)(82, 126)(83, 100)(84, 103)(85, 125)(86, 115)(87, 116)(88, 113)(89, 117)(90, 128)(91, 114)(92, 109)(93, 112)(94, 110)(95, 111)(96, 120)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.339
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.351 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^-1 * Y1^-3, R * Y2 * R * Y1, Y3^4, (R * Y3)^2, Y2^4, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 19, 51, 83, 115, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 25, 57, 89, 121, 13, 45, 77, 109)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(9, 41, 73, 105, 23, 55, 87, 119, 14, 46, 78, 110, 24, 56, 88, 120)(11, 43, 75, 107, 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)(20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 50)(8, 53)(9, 48)(10, 51)(11, 35)(12, 52)(13, 54)(14, 49)(15, 37)(16, 43)(17, 47)(18, 44)(19, 60)(20, 39)(21, 45)(22, 40)(23, 63)(24, 64)(25, 42)(26, 61)(27, 62)(28, 57)(29, 55)(30, 56)(31, 58)(32, 59)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 114)(72, 117)(73, 112)(74, 115)(75, 99)(76, 116)(77, 118)(78, 113)(79, 101)(80, 107)(81, 111)(82, 108)(83, 124)(84, 103)(85, 109)(86, 104)(87, 127)(88, 128)(89, 106)(90, 125)(91, 126)(92, 121)(93, 119)(94, 120)(95, 122)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.340
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.352 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x Q16 (small group id <32, 41>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y2^2, Y1^-1 * Y3^-2 * Y1^-1, Y1 * Y3^-2 * Y1, (R * Y3)^2, Y2^4, Y1^-1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y2^-1 * Y3^2 * Y2^-1, R * Y1 * R * Y2, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 8, 40, 72, 104, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 5, 37, 69, 101, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 6, 38, 70, 102, 14, 46, 78, 110)(9, 41, 73, 105, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 17, 49, 81, 113, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 18, 50, 82, 114, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 43)(4, 47)(5, 33)(6, 41)(7, 49)(8, 37)(9, 35)(10, 53)(11, 38)(12, 55)(13, 54)(14, 56)(15, 39)(16, 51)(17, 36)(18, 52)(19, 50)(20, 48)(21, 44)(22, 46)(23, 42)(24, 45)(25, 62)(26, 61)(27, 63)(28, 64)(29, 57)(30, 58)(31, 60)(32, 59)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 118)(75, 98)(76, 120)(77, 119)(78, 117)(79, 116)(80, 103)(81, 115)(82, 100)(83, 111)(84, 113)(85, 109)(86, 108)(87, 110)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.341
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.353 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x Q16) : C2 (small group id <64, 133>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^-2, Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-2 * Y1^2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2^4, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-2, Y2^-1 * Y1^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1^-1 * Y2^-1 * Y3^-2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 28, 60, 92, 124, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 26, 58, 90, 122, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 31, 63, 95, 127, 19, 51, 83, 115)(6, 38, 70, 102, 21, 53, 85, 117, 24, 56, 88, 120, 18, 50, 82, 114)(8, 40, 72, 104, 22, 54, 86, 118, 32, 64, 96, 128, 23, 55, 87, 119)(9, 41, 73, 105, 25, 57, 89, 121, 13, 45, 77, 109, 27, 59, 91, 123)(11, 43, 75, 107, 30, 62, 94, 126, 15, 47, 79, 111, 29, 61, 93, 125)
	L = (1, 34)(2, 40)(3, 45)(4, 48)(5, 33)(6, 47)(7, 46)(8, 37)(9, 56)(10, 59)(11, 58)(12, 57)(13, 38)(14, 55)(15, 35)(16, 54)(17, 60)(18, 36)(19, 62)(20, 61)(21, 39)(22, 50)(23, 53)(24, 43)(25, 51)(26, 41)(27, 52)(28, 64)(29, 42)(30, 44)(31, 49)(32, 63)(65, 99)(66, 105)(67, 104)(68, 108)(69, 107)(70, 97)(71, 106)(72, 102)(73, 101)(74, 119)(75, 98)(76, 118)(77, 127)(78, 121)(79, 124)(80, 123)(81, 122)(82, 125)(83, 100)(84, 103)(85, 126)(86, 115)(87, 116)(88, 113)(89, 117)(90, 128)(91, 114)(92, 109)(93, 112)(94, 110)(95, 111)(96, 120)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.342
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.354 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y2^2, Y1^-1 * Y2^-1 * Y3^2, (Y1^-1, Y2), Y1^4, Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 53)(11, 35)(12, 56)(13, 54)(14, 55)(15, 51)(16, 39)(17, 36)(18, 52)(19, 49)(20, 48)(21, 46)(22, 44)(23, 42)(24, 45)(25, 64)(26, 63)(27, 62)(28, 61)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 120)(79, 103)(80, 115)(81, 116)(82, 100)(83, 114)(84, 111)(85, 108)(86, 110)(87, 109)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 123)(94, 124)(95, 121)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.343
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.355 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 146>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y1^2, Y2^-1 * Y1^-1 * Y3^2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-2 * Y1^-1, (Y2 * Y1^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-1, Y1^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 53)(11, 35)(12, 56)(13, 54)(14, 55)(15, 51)(16, 39)(17, 36)(18, 52)(19, 49)(20, 48)(21, 46)(22, 44)(23, 42)(24, 45)(25, 63)(26, 64)(27, 61)(28, 62)(29, 58)(30, 57)(31, 60)(32, 59)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 117)(78, 120)(79, 103)(80, 115)(81, 116)(82, 100)(83, 114)(84, 111)(85, 108)(86, 110)(87, 109)(88, 106)(89, 125)(90, 126)(91, 127)(92, 128)(93, 124)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.344
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.356 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y1^-1 * Y3^-2 * Y2, Y2 * Y3^2 * Y1^-1, Y2 * Y3^-2 * Y1^-1, Y2 * Y1^-1 * Y3^2, Y1^4, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 53)(11, 35)(12, 54)(13, 51)(14, 52)(15, 36)(16, 39)(17, 55)(18, 56)(19, 47)(20, 48)(21, 49)(22, 50)(23, 42)(24, 44)(25, 63)(26, 64)(27, 61)(28, 62)(29, 57)(30, 58)(31, 59)(32, 60)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 116)(78, 115)(79, 103)(80, 100)(81, 120)(82, 119)(83, 112)(84, 111)(85, 114)(86, 113)(87, 108)(88, 106)(89, 128)(90, 127)(91, 126)(92, 125)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.345
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.357 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 149>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^2 * Y1^-2, Y1 * Y3^-2 * Y1, (Y2, Y1^-1), Y2^4, Y3^4, Y3^-1 * Y1^-2 * Y3^-1, Y2 * Y3^-2 * Y2, Y2^2 * Y3^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 8, 40, 72, 104, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 5, 37, 69, 101, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 6, 38, 70, 102, 14, 46, 78, 110)(9, 41, 73, 105, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 17, 49, 81, 113, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 18, 50, 82, 114, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 49)(8, 37)(9, 38)(10, 53)(11, 35)(12, 55)(13, 54)(14, 56)(15, 39)(16, 51)(17, 36)(18, 52)(19, 50)(20, 48)(21, 44)(22, 46)(23, 42)(24, 45)(25, 63)(26, 64)(27, 61)(28, 62)(29, 60)(30, 59)(31, 58)(32, 57)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 118)(75, 98)(76, 120)(77, 117)(78, 119)(79, 115)(80, 103)(81, 116)(82, 100)(83, 113)(84, 111)(85, 110)(86, 108)(87, 109)(88, 106)(89, 125)(90, 126)(91, 127)(92, 128)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.346
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y1^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 16, 48, 11, 43)(5, 37, 14, 46, 17, 49, 15, 47)(7, 39, 18, 50, 12, 44, 20, 52)(8, 40, 21, 53, 13, 45, 22, 54)(10, 42, 19, 51, 28, 60, 25, 57)(23, 55, 30, 62, 26, 58, 32, 64)(24, 56, 29, 61, 27, 59, 31, 63)(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, 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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 12, 44)(4, 36, 9, 41, 19, 51, 13, 45)(6, 38, 16, 48, 20, 52, 17, 49)(8, 40, 21, 53, 14, 46, 22, 54)(10, 42, 23, 55, 15, 47, 24, 56)(25, 57, 30, 62, 27, 59, 32, 64)(26, 58, 29, 61, 28, 60, 31, 63)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 78, 110, 77, 109, 79, 111)(71, 103, 82, 114, 83, 115, 84, 116)(75, 107, 89, 121, 80, 112, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(85, 117, 93, 125, 87, 119, 94, 126)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 77)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 80)(12, 81)(13, 69)(14, 79)(15, 78)(16, 75)(17, 76)(18, 84)(19, 71)(20, 82)(21, 87)(22, 88)(23, 85)(24, 86)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3, Y2^4, Y1^4, Y1^-2 * Y3 * Y2^2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 16, 48, 14, 46)(4, 36, 9, 41, 12, 44, 15, 47)(6, 38, 19, 51, 13, 45, 20, 52)(8, 40, 21, 53, 17, 49, 22, 54)(10, 42, 23, 55, 18, 50, 24, 56)(25, 57, 30, 62, 27, 59, 32, 64)(26, 58, 29, 61, 28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 79, 111, 74, 106)(68, 100, 77, 109, 71, 103, 80, 112)(69, 101, 81, 113, 73, 105, 82, 114)(75, 107, 89, 121, 83, 115, 90, 122)(78, 110, 91, 123, 84, 116, 92, 124)(85, 117, 93, 125, 87, 119, 94, 126)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 79)(6, 80)(7, 76)(8, 82)(9, 66)(10, 81)(11, 84)(12, 71)(13, 67)(14, 83)(15, 69)(16, 70)(17, 74)(18, 72)(19, 78)(20, 75)(21, 88)(22, 87)(23, 86)(24, 85)(25, 92)(26, 91)(27, 90)(28, 89)(29, 96)(30, 95)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = Q8 : C4 (small group id <32, 10>)
Aut   = (C2 x D16) : C2 (small group id <64, 130>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 18, 50, 14, 46, 20, 52)(8, 40, 21, 53, 15, 47, 22, 54)(10, 42, 19, 51, 25, 57, 26, 58)(23, 55, 30, 62, 27, 59, 32, 64)(24, 56, 29, 61, 28, 60, 31, 63)(65, 97, 67, 99, 74, 106, 70, 102)(66, 98, 71, 103, 83, 115, 72, 104)(68, 100, 75, 107, 89, 121, 77, 109)(69, 101, 78, 110, 90, 122, 79, 111)(73, 105, 87, 119, 80, 112, 88, 120)(76, 108, 91, 123, 81, 113, 92, 124)(82, 114, 93, 125, 85, 117, 94, 126)(84, 116, 95, 127, 86, 118, 96, 128)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 89)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 84)(19, 90)(20, 82)(21, 86)(22, 85)(23, 91)(24, 92)(25, 74)(26, 83)(27, 87)(28, 88)(29, 95)(30, 96)(31, 93)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.362 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y3^4, Y2^4, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 70, 67)(68, 75, 81, 76)(69, 78, 80, 79)(71, 82, 74, 83)(72, 85, 73, 86)(77, 84, 92, 87)(88, 93, 91, 96)(89, 94, 90, 95)(97, 99, 102, 98)(100, 108, 113, 107)(101, 111, 112, 110)(103, 115, 106, 114)(104, 118, 105, 117)(109, 119, 124, 116)(120, 128, 123, 125)(121, 127, 122, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.366
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.363 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y2, Y2^2 * Y1^2, R * Y1 * R * Y2, Y1^-1 * Y3^2 * Y2^-1, (Y2^-1, Y1), Y2^4, (R * Y3)^2, Y1^4, Y1 * Y3^-2 * Y2, Y3 * Y2^-2 * Y3^-1 * Y1^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 9, 41, 7, 39)(2, 34, 10, 42, 6, 38, 12, 44)(3, 35, 13, 45, 5, 37, 14, 46)(8, 40, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 18, 50, 26, 58)(16, 48, 27, 59, 17, 49, 28, 60)(21, 53, 29, 61, 24, 56, 30, 62)(22, 54, 31, 63, 23, 55, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 84, 81)(71, 82, 83, 80)(74, 85, 77, 87)(76, 88, 78, 86)(89, 93, 91, 95)(90, 94, 92, 96)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 116, 114)(103, 113, 115, 111)(106, 118, 109, 120)(108, 119, 110, 117)(121, 128, 123, 126)(122, 127, 124, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.367
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.364 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^-3 * Y2, R * Y2 * R * Y1, Y2^4, Y3^4, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y2^-1, Y2 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 13, 45, 5, 37)(2, 34, 7, 39, 20, 52, 8, 40)(3, 35, 9, 41, 23, 55, 10, 42)(6, 38, 16, 48, 28, 60, 17, 49)(11, 43, 24, 56, 15, 47, 25, 57)(12, 44, 26, 58, 14, 46, 27, 59)(18, 50, 29, 61, 22, 54, 30, 62)(19, 51, 31, 63, 21, 53, 32, 64)(65, 66, 70, 67)(68, 75, 80, 76)(69, 78, 81, 79)(71, 82, 73, 83)(72, 85, 74, 86)(77, 87, 92, 84)(88, 93, 90, 95)(89, 96, 91, 94)(97, 99, 102, 98)(100, 108, 112, 107)(101, 111, 113, 110)(103, 115, 105, 114)(104, 118, 106, 117)(109, 116, 124, 119)(120, 127, 122, 125)(121, 126, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.368
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.365 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^4, Y3^4, Y1^-3 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y3^-1 * Y1^2 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: 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)(65, 66, 70, 68)(67, 73, 80, 75)(69, 78, 81, 79)(71, 82, 76, 84)(72, 85, 77, 86)(74, 89, 92, 83)(87, 93, 90, 95)(88, 96, 91, 94)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 121, 124, 115)(119, 125, 122, 127)(120, 128, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.369
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.366 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^-1, Y3^4, (Y2 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, Y3^4, Y2^4, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 54)(10, 51)(11, 49)(12, 36)(13, 52)(14, 48)(15, 37)(16, 47)(17, 44)(18, 42)(19, 39)(20, 60)(21, 41)(22, 40)(23, 45)(24, 61)(25, 62)(26, 63)(27, 64)(28, 55)(29, 59)(30, 58)(31, 57)(32, 56)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 117)(74, 114)(75, 100)(76, 113)(77, 119)(78, 101)(79, 112)(80, 110)(81, 107)(82, 103)(83, 106)(84, 109)(85, 104)(86, 105)(87, 124)(88, 128)(89, 127)(90, 126)(91, 125)(92, 116)(93, 120)(94, 121)(95, 122)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.362
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.367 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^2 * Y2, Y2^2 * Y1^2, R * Y1 * R * Y2, Y1^-1 * Y3^2 * Y2^-1, (Y2^-1, Y1), Y2^4, (R * Y3)^2, Y1^4, Y1 * Y3^-2 * Y2, Y3 * Y2^-2 * Y3^-1 * Y1^-1 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 9, 41, 73, 105, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 6, 38, 70, 102, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 5, 37, 69, 101, 14, 46, 78, 110)(8, 40, 72, 104, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 18, 50, 82, 114, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 17, 49, 81, 113, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 24, 56, 88, 120, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 50)(8, 37)(9, 38)(10, 53)(11, 35)(12, 56)(13, 55)(14, 54)(15, 52)(16, 39)(17, 36)(18, 51)(19, 48)(20, 49)(21, 45)(22, 44)(23, 42)(24, 46)(25, 61)(26, 62)(27, 63)(28, 64)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 113)(72, 102)(73, 101)(74, 118)(75, 98)(76, 119)(77, 120)(78, 117)(79, 103)(80, 116)(81, 115)(82, 100)(83, 111)(84, 114)(85, 108)(86, 109)(87, 110)(88, 106)(89, 128)(90, 127)(91, 126)(92, 125)(93, 122)(94, 121)(95, 124)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.363
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.368 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2, Y1^-3 * Y2, R * Y2 * R * Y1, Y2^4, Y3^4, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y2^-1, Y2 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-2 * Y2 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1^2 * Y3 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 13, 45, 77, 109, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 20, 52, 84, 116, 8, 40, 72, 104)(3, 35, 67, 99, 9, 41, 73, 105, 23, 55, 87, 119, 10, 42, 74, 106)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(11, 43, 75, 107, 24, 56, 88, 120, 15, 47, 79, 111, 25, 57, 89, 121)(12, 44, 76, 108, 26, 58, 90, 122, 14, 46, 78, 110, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(19, 51, 83, 115, 31, 63, 95, 127, 21, 53, 85, 117, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 48)(12, 36)(13, 55)(14, 49)(15, 37)(16, 44)(17, 47)(18, 41)(19, 39)(20, 45)(21, 42)(22, 40)(23, 60)(24, 61)(25, 64)(26, 63)(27, 62)(28, 52)(29, 58)(30, 57)(31, 56)(32, 59)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 100)(76, 112)(77, 116)(78, 101)(79, 113)(80, 107)(81, 110)(82, 103)(83, 105)(84, 124)(85, 104)(86, 106)(87, 109)(88, 127)(89, 126)(90, 125)(91, 128)(92, 119)(93, 120)(94, 123)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.364
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.369 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y2^4, Y3^4, Y1^-3 * Y2^-1, R * Y2 * R * Y1, (R * Y3)^2, Y1^2 * Y3^-1 * Y1^2 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 19, 51, 83, 115, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 25, 57, 89, 121, 13, 45, 77, 109)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(9, 41, 73, 105, 23, 55, 87, 119, 15, 47, 79, 111, 24, 56, 88, 120)(11, 43, 75, 107, 26, 58, 90, 122, 14, 46, 78, 110, 27, 59, 91, 123)(18, 50, 82, 114, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(20, 52, 84, 116, 31, 63, 95, 127, 21, 53, 85, 117, 32, 64, 96, 128)
	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, 61)(24, 64)(25, 60)(26, 63)(27, 62)(28, 51)(29, 58)(30, 56)(31, 55)(32, 59)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 114)(72, 117)(73, 112)(74, 121)(75, 99)(76, 116)(77, 118)(78, 113)(79, 101)(80, 107)(81, 111)(82, 108)(83, 106)(84, 103)(85, 109)(86, 104)(87, 125)(88, 128)(89, 124)(90, 127)(91, 126)(92, 115)(93, 122)(94, 120)(95, 119)(96, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.365
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.370 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y1^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2)^2, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 16, 48, 11, 43)(5, 37, 14, 46, 17, 49, 15, 47)(7, 39, 18, 50, 12, 44, 20, 52)(8, 40, 21, 53, 13, 45, 22, 54)(10, 42, 25, 57, 28, 60, 19, 51)(23, 55, 29, 61, 26, 58, 31, 63)(24, 56, 32, 64, 27, 59, 30, 62)(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, 79, 111, 88, 120)(75, 107, 90, 122, 78, 110, 91, 123)(82, 114, 93, 125, 86, 118, 94, 126)(84, 116, 95, 127, 85, 117, 96, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.371 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2)^2, (Y2^-1 * Y1^-1 * Y2^-1)^2, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 5, 37)(3, 35, 9, 41, 11, 43, 12, 44)(6, 38, 16, 48, 13, 45, 17, 49)(7, 39, 18, 50, 14, 46, 20, 52)(8, 40, 21, 53, 15, 47, 22, 54)(10, 42, 25, 57, 26, 58, 19, 51)(23, 55, 29, 61, 27, 59, 31, 63)(24, 56, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 74, 106, 70, 102)(66, 98, 71, 103, 83, 115, 72, 104)(68, 100, 75, 107, 90, 122, 77, 109)(69, 101, 78, 110, 89, 121, 79, 111)(73, 105, 87, 119, 81, 113, 88, 120)(76, 108, 91, 123, 80, 112, 92, 124)(82, 114, 93, 125, 86, 118, 94, 126)(84, 116, 95, 127, 85, 117, 96, 128)
	L = (1, 68)(2, 69)(3, 75)(4, 65)(5, 66)(6, 77)(7, 78)(8, 79)(9, 76)(10, 90)(11, 67)(12, 73)(13, 70)(14, 71)(15, 72)(16, 81)(17, 80)(18, 84)(19, 89)(20, 82)(21, 86)(22, 85)(23, 91)(24, 92)(25, 83)(26, 74)(27, 87)(28, 88)(29, 95)(30, 96)(31, 93)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^2 * Y1^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^4, (R * Y2)^2, (Y3, Y2^-1), Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 16, 48)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 21, 53, 25, 57, 22, 54)(9, 41, 17, 49, 19, 51, 15, 47)(11, 43, 18, 50, 20, 52, 23, 55)(14, 46, 28, 60, 32, 64, 26, 58)(27, 59, 30, 62, 31, 63, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 79, 111, 93, 125, 82, 114)(69, 101, 83, 115, 92, 124, 84, 116)(71, 103, 81, 113, 94, 126, 87, 119)(72, 104, 88, 120, 96, 128, 89, 121)(74, 106, 77, 109, 91, 123, 86, 118)(76, 108, 80, 112, 95, 127, 85, 117)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 77)(10, 69)(11, 86)(12, 66)(13, 83)(14, 93)(15, 88)(16, 73)(17, 67)(18, 89)(19, 80)(20, 85)(21, 75)(22, 84)(23, 70)(24, 81)(25, 87)(26, 91)(27, 92)(28, 95)(29, 96)(30, 78)(31, 90)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^2 * Y1^2, Y3 * Y1 * Y3 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, (Y3, Y2^-1), Y2^4, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 24, 56, 16, 48)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 21, 53, 25, 57, 22, 54)(9, 41, 15, 47, 19, 51, 17, 49)(11, 43, 23, 55, 20, 52, 18, 50)(14, 46, 28, 60, 32, 64, 26, 58)(27, 59, 29, 61, 31, 63, 30, 62)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 79, 111, 93, 125, 82, 114)(69, 101, 83, 115, 92, 124, 84, 116)(71, 103, 81, 113, 94, 126, 87, 119)(72, 104, 88, 120, 96, 128, 89, 121)(74, 106, 80, 112, 95, 127, 85, 117)(76, 108, 77, 109, 91, 123, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 80)(10, 69)(11, 85)(12, 66)(13, 73)(14, 93)(15, 88)(16, 83)(17, 67)(18, 89)(19, 77)(20, 86)(21, 84)(22, 75)(23, 70)(24, 81)(25, 87)(26, 95)(27, 90)(28, 91)(29, 96)(30, 78)(31, 92)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.374 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^4, Y2^4, Y1 * Y2 * Y1^2, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: 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, 14, 46, 24, 56)(11, 43, 26, 58, 15, 47, 27, 59)(18, 50, 29, 61, 21, 53, 30, 62)(20, 52, 31, 63, 22, 54, 32, 64)(65, 66, 70, 68)(67, 73, 80, 75)(69, 78, 81, 79)(71, 82, 76, 84)(72, 85, 77, 86)(74, 83, 92, 89)(87, 96, 90, 94)(88, 95, 91, 93)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 115, 124, 121)(119, 128, 122, 126)(120, 127, 123, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.378
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.375 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, (R * Y3)^2, Y1^-3 * Y2, Y3^4, R * Y1 * R * Y2, Y2^4, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 70, 67)(68, 75, 80, 76)(69, 78, 81, 79)(71, 82, 73, 83)(72, 85, 74, 86)(77, 84, 92, 87)(88, 96, 90, 94)(89, 95, 91, 93)(97, 99, 102, 98)(100, 108, 112, 107)(101, 111, 113, 110)(103, 115, 105, 114)(104, 118, 106, 117)(109, 119, 124, 116)(120, 126, 122, 128)(121, 125, 123, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.379
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.376 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y3^4, Y1^4, (Y2^-1, Y1^-1), Y1^-1 * Y3^2 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 77, 83, 79)(71, 78, 84, 80)(74, 85, 81, 87)(76, 86, 82, 88)(89, 96, 91, 94)(90, 95, 92, 93)(97, 99, 104, 102)(98, 105, 101, 107)(100, 110, 115, 112)(103, 109, 116, 111)(106, 118, 113, 120)(108, 117, 114, 119)(121, 127, 123, 125)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.380
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.377 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2^-2 * Y3^-1, Y1^-2 * Y2^-2, R * Y1 * R * Y2, Y2^4, (Y1, Y2^-1), (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 8, 40, 7, 39)(2, 34, 10, 42, 5, 37, 12, 44)(3, 35, 13, 45, 6, 38, 14, 46)(9, 41, 19, 51, 11, 43, 20, 52)(15, 47, 25, 57, 17, 49, 26, 58)(16, 48, 27, 59, 18, 50, 28, 60)(21, 53, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 72, 69)(67, 73, 70, 75)(68, 79, 71, 81)(74, 85, 76, 87)(77, 86, 78, 88)(80, 83, 82, 84)(89, 96, 90, 95)(91, 94, 92, 93)(97, 99, 104, 102)(98, 105, 101, 107)(100, 112, 103, 114)(106, 118, 108, 120)(109, 117, 110, 119)(111, 115, 113, 116)(121, 126, 122, 125)(123, 128, 124, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.381
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.378 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y2^-1, Y3^4, Y2^4, Y1 * Y2 * Y1^2, Y3^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 19, 51, 83, 115, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 25, 57, 89, 121, 13, 45, 77, 109)(6, 38, 70, 102, 16, 48, 80, 112, 28, 60, 92, 124, 17, 49, 81, 113)(9, 41, 73, 105, 23, 55, 87, 119, 14, 46, 78, 110, 24, 56, 88, 120)(11, 43, 75, 107, 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)(20, 52, 84, 116, 31, 63, 95, 127, 22, 54, 86, 118, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 46)(6, 36)(7, 50)(8, 53)(9, 48)(10, 51)(11, 35)(12, 52)(13, 54)(14, 49)(15, 37)(16, 43)(17, 47)(18, 44)(19, 60)(20, 39)(21, 45)(22, 40)(23, 64)(24, 63)(25, 42)(26, 62)(27, 61)(28, 57)(29, 56)(30, 55)(31, 59)(32, 58)(65, 98)(66, 102)(67, 105)(68, 97)(69, 110)(70, 100)(71, 114)(72, 117)(73, 112)(74, 115)(75, 99)(76, 116)(77, 118)(78, 113)(79, 101)(80, 107)(81, 111)(82, 108)(83, 124)(84, 103)(85, 109)(86, 104)(87, 128)(88, 127)(89, 106)(90, 126)(91, 125)(92, 121)(93, 120)(94, 119)(95, 123)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.374
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.379 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 162>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, (R * Y3)^2, Y1^-3 * Y2, Y3^4, R * Y1 * R * Y2, Y2^4, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	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, 38)(3, 33)(4, 43)(5, 46)(6, 35)(7, 50)(8, 53)(9, 51)(10, 54)(11, 48)(12, 36)(13, 52)(14, 49)(15, 37)(16, 44)(17, 47)(18, 41)(19, 39)(20, 60)(21, 42)(22, 40)(23, 45)(24, 64)(25, 63)(26, 62)(27, 61)(28, 55)(29, 57)(30, 56)(31, 59)(32, 58)(65, 99)(66, 97)(67, 102)(68, 108)(69, 111)(70, 98)(71, 115)(72, 118)(73, 114)(74, 117)(75, 100)(76, 112)(77, 119)(78, 101)(79, 113)(80, 107)(81, 110)(82, 103)(83, 105)(84, 109)(85, 104)(86, 106)(87, 124)(88, 126)(89, 125)(90, 128)(91, 127)(92, 116)(93, 123)(94, 122)(95, 121)(96, 120)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.375
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.380 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y1^2, Y2^-2 * Y1^2, Y3^4, Y1^4, (Y2^-1, Y1^-1), Y1^-1 * Y3^2 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 37)(9, 38)(10, 53)(11, 35)(12, 54)(13, 51)(14, 52)(15, 36)(16, 39)(17, 55)(18, 56)(19, 47)(20, 48)(21, 49)(22, 50)(23, 42)(24, 44)(25, 64)(26, 63)(27, 62)(28, 61)(29, 58)(30, 57)(31, 60)(32, 59)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 102)(73, 101)(74, 118)(75, 98)(76, 117)(77, 116)(78, 115)(79, 103)(80, 100)(81, 120)(82, 119)(83, 112)(84, 111)(85, 114)(86, 113)(87, 108)(88, 106)(89, 127)(90, 128)(91, 125)(92, 126)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.376
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.381 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = ((C8 x C2) : C2) : C2 (small group id <64, 163>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y1^-1 * Y3^2 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1, Y3^-1 * Y2^-2 * Y3^-1, Y1^-2 * Y2^-2, R * Y1 * R * Y2, Y2^4, (Y1, Y2^-1), (R * Y3)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1, (Y2 * Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 8, 40, 72, 104, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 5, 37, 69, 101, 12, 44, 76, 108)(3, 35, 67, 99, 13, 45, 77, 109, 6, 38, 70, 102, 14, 46, 78, 110)(9, 41, 73, 105, 19, 51, 83, 115, 11, 43, 75, 107, 20, 52, 84, 116)(15, 47, 79, 111, 25, 57, 89, 121, 17, 49, 81, 113, 26, 58, 90, 122)(16, 48, 80, 112, 27, 59, 91, 123, 18, 50, 82, 114, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 47)(5, 33)(6, 43)(7, 49)(8, 37)(9, 38)(10, 53)(11, 35)(12, 55)(13, 54)(14, 56)(15, 39)(16, 51)(17, 36)(18, 52)(19, 50)(20, 48)(21, 44)(22, 46)(23, 42)(24, 45)(25, 64)(26, 63)(27, 62)(28, 61)(29, 59)(30, 60)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 112)(69, 107)(70, 97)(71, 114)(72, 102)(73, 101)(74, 118)(75, 98)(76, 120)(77, 117)(78, 119)(79, 115)(80, 103)(81, 116)(82, 100)(83, 113)(84, 111)(85, 110)(86, 108)(87, 109)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 121)(94, 122)(95, 123)(96, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.377
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y3, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, Y1^4, (R * Y2)^2, (R * Y1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 12, 44)(4, 36, 9, 41, 19, 51, 13, 45)(6, 38, 16, 48, 20, 52, 17, 49)(8, 40, 21, 53, 14, 46, 22, 54)(10, 42, 23, 55, 15, 47, 24, 56)(25, 57, 32, 64, 27, 59, 30, 62)(26, 58, 31, 63, 28, 60, 29, 61)(65, 97, 67, 99, 68, 100, 70, 102)(66, 98, 72, 104, 73, 105, 74, 106)(69, 101, 78, 110, 77, 109, 79, 111)(71, 103, 82, 114, 83, 115, 84, 116)(75, 107, 89, 121, 80, 112, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(85, 117, 93, 125, 87, 119, 94, 126)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 65)(5, 77)(6, 67)(7, 83)(8, 74)(9, 66)(10, 72)(11, 80)(12, 81)(13, 69)(14, 79)(15, 78)(16, 75)(17, 76)(18, 84)(19, 71)(20, 82)(21, 87)(22, 88)(23, 85)(24, 86)(25, 90)(26, 89)(27, 92)(28, 91)(29, 94)(30, 93)(31, 96)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.383 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 13>)
Aut   = C16 : C4 (small group id <64, 46>)
|r| :: 8
Presentation :: [ R^-1 * Y3 * R^-1, Y3^4, Y2 * R^-1 * Y1 * R, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y2^4, Y3 * Y1 * Y3 * Y1^-1, Y1^4, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y1 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 27, 59, 16, 48)(4, 36, 12, 44, 28, 60, 19, 51)(6, 38, 24, 56, 29, 61, 26, 58)(7, 39, 10, 42, 30, 62, 22, 54)(9, 41, 17, 49, 21, 53, 25, 57)(11, 43, 20, 52, 23, 55, 15, 47)(14, 46, 31, 63, 18, 50, 32, 64)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 95, 127, 75, 107)(68, 100, 81, 113, 94, 126, 84, 116)(69, 101, 85, 117, 96, 128, 87, 119)(71, 103, 79, 111, 92, 124, 89, 121)(72, 104, 91, 123, 82, 114, 93, 125)(74, 106, 80, 112, 83, 115, 90, 122)(76, 108, 88, 120, 86, 118, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 86)(6, 89)(7, 65)(8, 92)(9, 88)(10, 96)(11, 77)(12, 66)(13, 85)(14, 94)(15, 93)(16, 73)(17, 67)(18, 71)(19, 69)(20, 70)(21, 90)(22, 95)(23, 80)(24, 87)(25, 91)(26, 75)(27, 84)(28, 78)(29, 81)(30, 72)(31, 83)(32, 76)(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 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.384 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, (Y1^-1 * Y3^-1 * Y2^-1)^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 6, 38, 5, 37)(2, 34, 7, 39, 4, 36, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66, 70, 68)(67, 73, 69, 74)(71, 75, 72, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 95, 94, 96)(97, 98, 102, 100)(99, 105, 101, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.386
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.385 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y1^-2 * Y3^-2, R * Y2 * R * Y1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 6, 38, 5, 37)(2, 34, 7, 39, 3, 35, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66, 70, 67)(68, 73, 69, 74)(71, 75, 72, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 95, 94, 96)(97, 99, 102, 98)(100, 106, 101, 105)(103, 108, 104, 107)(109, 114, 110, 113)(111, 116, 112, 115)(117, 122, 118, 121)(119, 124, 120, 123)(125, 128, 126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.387
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.386 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C8 x C2 x C2) : C2 (small group id <64, 147>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, Y2^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3, (Y1^-1 * Y3^-1 * Y2^-1)^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 4, 36, 68, 100, 8, 40, 72, 104)(9, 41, 73, 105, 13, 45, 77, 109, 10, 42, 74, 106, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 42)(6, 36)(7, 43)(8, 44)(9, 37)(10, 35)(11, 40)(12, 39)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 63)(30, 64)(31, 62)(32, 61)(65, 98)(66, 102)(67, 105)(68, 97)(69, 106)(70, 100)(71, 107)(72, 108)(73, 101)(74, 99)(75, 104)(76, 103)(77, 113)(78, 114)(79, 115)(80, 116)(81, 110)(82, 109)(83, 112)(84, 111)(85, 121)(86, 122)(87, 123)(88, 124)(89, 118)(90, 117)(91, 120)(92, 119)(93, 127)(94, 128)(95, 126)(96, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.384
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.387 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = C8 : C4 (small group id <32, 14>)
Aut   = (C2 x (C4 : C4)) : C2 (small group id <64, 161>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1, Y1^-2 * Y3^-2, R * Y2 * R * Y1, Y1^-1 * Y3^2 * Y1^-1, (R * Y3)^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 3, 35, 67, 99, 8, 40, 72, 104)(9, 41, 73, 105, 13, 45, 77, 109, 10, 42, 74, 106, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 41)(5, 42)(6, 35)(7, 43)(8, 44)(9, 37)(10, 36)(11, 40)(12, 39)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 63)(30, 64)(31, 62)(32, 61)(65, 99)(66, 97)(67, 102)(68, 106)(69, 105)(70, 98)(71, 108)(72, 107)(73, 100)(74, 101)(75, 103)(76, 104)(77, 114)(78, 113)(79, 116)(80, 115)(81, 109)(82, 110)(83, 111)(84, 112)(85, 122)(86, 121)(87, 124)(88, 123)(89, 117)(90, 118)(91, 119)(92, 120)(93, 128)(94, 127)(95, 125)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.385
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.388 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^-1 * Y2, Y3^4, Y1^-1 * Y2^-1 * Y3^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 3, 35, 6, 38, 5, 37)(2, 34, 7, 39, 4, 36, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66, 70, 68)(67, 73, 69, 74)(71, 75, 72, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 96, 94, 95)(97, 98, 102, 100)(99, 105, 101, 106)(103, 107, 104, 108)(109, 113, 110, 114)(111, 115, 112, 116)(117, 121, 118, 122)(119, 123, 120, 124)(125, 128, 126, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.390
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.389 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4, 4})
Quotient :: edge^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C2 x Q16) : C2 (small group id <64, 191>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2 * Y1, Y2 * Y1, Y1^4, Y3^-2 * Y1^2, Y3^-1 * Y1^-2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36, 6, 38, 5, 37)(2, 34, 7, 39, 3, 35, 8, 40)(9, 41, 13, 45, 10, 42, 14, 46)(11, 43, 15, 47, 12, 44, 16, 48)(17, 49, 21, 53, 18, 50, 22, 54)(19, 51, 23, 55, 20, 52, 24, 56)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 66, 70, 67)(68, 73, 69, 74)(71, 75, 72, 76)(77, 81, 78, 82)(79, 83, 80, 84)(85, 89, 86, 90)(87, 91, 88, 92)(93, 96, 94, 95)(97, 99, 102, 98)(100, 106, 101, 105)(103, 108, 104, 107)(109, 114, 110, 113)(111, 116, 112, 115)(117, 122, 118, 121)(119, 124, 120, 123)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.391
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.390 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C16 x C2) : C2 (small group id <64, 189>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1, Y1^-1 * Y2, Y3^4, Y1^-1 * Y2^-1 * Y3^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, Y1^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 4, 36, 68, 100, 8, 40, 72, 104)(9, 41, 73, 105, 13, 45, 77, 109, 10, 42, 74, 106, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 42)(6, 36)(7, 43)(8, 44)(9, 37)(10, 35)(11, 40)(12, 39)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 64)(30, 63)(31, 61)(32, 62)(65, 98)(66, 102)(67, 105)(68, 97)(69, 106)(70, 100)(71, 107)(72, 108)(73, 101)(74, 99)(75, 104)(76, 103)(77, 113)(78, 114)(79, 115)(80, 116)(81, 110)(82, 109)(83, 112)(84, 111)(85, 121)(86, 122)(87, 123)(88, 124)(89, 118)(90, 117)(91, 120)(92, 119)(93, 128)(94, 127)(95, 125)(96, 126)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.388
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.391 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4, 4})
Quotient :: loop^2
Aut^+ = Q32 (small group id <32, 20>)
Aut   = (C2 x Q16) : C2 (small group id <64, 191>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1, Y2 * Y1, Y2 * Y1, Y1^4, Y3^-2 * Y1^2, Y3^-1 * Y1^-2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 6, 38, 70, 102, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 3, 35, 67, 99, 8, 40, 72, 104)(9, 41, 73, 105, 13, 45, 77, 109, 10, 42, 74, 106, 14, 46, 78, 110)(11, 43, 75, 107, 15, 47, 79, 111, 12, 44, 76, 108, 16, 48, 80, 112)(17, 49, 81, 113, 21, 53, 85, 117, 18, 50, 82, 114, 22, 54, 86, 118)(19, 51, 83, 115, 23, 55, 87, 119, 20, 52, 84, 116, 24, 56, 88, 120)(25, 57, 89, 121, 29, 61, 93, 125, 26, 58, 90, 122, 30, 62, 94, 126)(27, 59, 91, 123, 31, 63, 95, 127, 28, 60, 92, 124, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 33)(4, 41)(5, 42)(6, 35)(7, 43)(8, 44)(9, 37)(10, 36)(11, 40)(12, 39)(13, 49)(14, 50)(15, 51)(16, 52)(17, 46)(18, 45)(19, 48)(20, 47)(21, 57)(22, 58)(23, 59)(24, 60)(25, 54)(26, 53)(27, 56)(28, 55)(29, 64)(30, 63)(31, 61)(32, 62)(65, 99)(66, 97)(67, 102)(68, 106)(69, 105)(70, 98)(71, 108)(72, 107)(73, 100)(74, 101)(75, 103)(76, 104)(77, 114)(78, 113)(79, 116)(80, 115)(81, 109)(82, 110)(83, 111)(84, 112)(85, 122)(86, 121)(87, 124)(88, 123)(89, 117)(90, 118)(91, 119)(92, 120)(93, 127)(94, 128)(95, 126)(96, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.389
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.392 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : Q8 (small group id <32, 35>)
Aut   = (C4 x C4 x C2) : C2 (small group id <64, 213>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-2 * Y1^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, Y2^4, (Y3, Y2^-1), (R * Y2)^2, Y2^-1 * Y1^-2 * Y2^-2 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 12, 44, 7, 39, 10, 42)(6, 38, 9, 41, 21, 53, 18, 50)(13, 45, 22, 54, 30, 62, 28, 60)(14, 46, 26, 58, 16, 48, 25, 57)(17, 49, 24, 56, 19, 51, 23, 55)(27, 59, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 86, 118, 75, 107)(68, 100, 78, 110, 91, 123, 81, 113)(69, 101, 82, 114, 92, 124, 79, 111)(71, 103, 80, 112, 93, 125, 83, 115)(72, 104, 84, 116, 94, 126, 85, 117)(74, 106, 87, 119, 95, 127, 89, 121)(76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 87)(10, 69)(11, 89)(12, 66)(13, 91)(14, 84)(15, 90)(16, 67)(17, 85)(18, 88)(19, 70)(20, 80)(21, 83)(22, 95)(23, 82)(24, 73)(25, 79)(26, 75)(27, 94)(28, 96)(29, 77)(30, 93)(31, 92)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.393 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : Q8 (small group id <32, 35>)
Aut   = (C4 x C4 x C2) : C2 (small group id <64, 213>)
|r| :: 2
Presentation :: [ R^2, (Y3, Y2^-1), Y1^4, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y2)^2, Y1^-1 * Y3 * Y1 * Y3, Y3^4, (R * Y1)^2, Y2^4, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y2^-2 * Y3^2 * Y1^-2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 12, 44, 24, 56, 18, 50)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 10, 42, 26, 58, 21, 53)(13, 45, 27, 59, 17, 49, 30, 62)(14, 46, 32, 64, 22, 54, 28, 60)(16, 48, 31, 63, 19, 51, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 78, 110, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 79, 111)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 81, 113, 89, 121)(74, 106, 92, 124, 82, 114, 95, 127)(76, 108, 93, 125, 85, 117, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 71)(18, 69)(19, 87)(20, 96)(21, 91)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 82)(28, 79)(29, 73)(30, 76)(31, 84)(32, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.394
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 : Q8 (small group id <32, 35>)
Aut   = (C4 x C4 x C2) : C2 (small group id <64, 213>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^-2 * Y1^-2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (Y2, Y3^-1), Y1^4, Y2^4, Y3^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 6, 38, 9, 41)(4, 36, 12, 44, 20, 52, 16, 48)(7, 39, 10, 42, 21, 53, 18, 50)(13, 45, 26, 58, 17, 49, 23, 55)(14, 46, 25, 57, 19, 51, 22, 54)(15, 47, 24, 56, 30, 62, 28, 60)(27, 59, 32, 64, 29, 61, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 77, 109, 84, 116, 81, 113)(71, 103, 78, 110, 85, 117, 83, 115)(74, 106, 86, 118, 82, 114, 89, 121)(76, 108, 87, 119, 80, 112, 90, 122)(79, 111, 91, 123, 94, 126, 93, 125)(88, 120, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 79)(5, 82)(6, 81)(7, 65)(8, 84)(9, 86)(10, 88)(11, 89)(12, 66)(13, 91)(14, 67)(15, 71)(16, 69)(17, 93)(18, 92)(19, 70)(20, 94)(21, 72)(22, 95)(23, 73)(24, 76)(25, 96)(26, 75)(27, 78)(28, 80)(29, 83)(30, 85)(31, 87)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.393
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (C4 : C4) (small group id <32, 23>)
Aut   = C2 x ((C4 x C2 x C2) : C2) (small group id <64, 203>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3, (R * Y2)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 17, 49, 13, 45)(4, 36, 9, 41, 18, 50, 14, 46)(6, 38, 8, 40, 19, 51, 16, 48)(11, 43, 20, 52, 27, 59, 24, 56)(12, 44, 22, 54, 28, 60, 25, 57)(15, 47, 21, 53, 29, 61, 26, 58)(23, 55, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 84, 116, 74, 106)(68, 100, 76, 108, 87, 119, 79, 111)(69, 101, 80, 112, 88, 120, 77, 109)(71, 103, 81, 113, 91, 123, 83, 115)(73, 105, 85, 117, 94, 126, 86, 118)(78, 110, 90, 122, 95, 127, 89, 121)(82, 114, 92, 124, 96, 128, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 82)(8, 85)(9, 66)(10, 86)(11, 87)(12, 67)(13, 89)(14, 69)(15, 70)(16, 90)(17, 92)(18, 71)(19, 93)(20, 94)(21, 72)(22, 74)(23, 75)(24, 95)(25, 77)(26, 80)(27, 96)(28, 81)(29, 83)(30, 84)(31, 88)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y2)^2, Y2^4, (R * Y3)^2, Y1^4, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 19, 51, 8, 40)(4, 36, 14, 46, 20, 52, 15, 47)(6, 38, 18, 50, 21, 53, 10, 42)(9, 41, 24, 56, 17, 49, 25, 57)(12, 44, 22, 54, 30, 62, 27, 59)(13, 45, 29, 61, 31, 63, 26, 58)(16, 48, 28, 60, 32, 64, 23, 55)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 77, 109, 89, 121, 80, 112)(69, 101, 75, 107, 91, 123, 82, 114)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 87, 119, 78, 110, 90, 122)(79, 111, 93, 125, 81, 113, 92, 124)(84, 116, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 81)(6, 80)(7, 84)(8, 87)(9, 66)(10, 90)(11, 92)(12, 89)(13, 67)(14, 86)(15, 91)(16, 70)(17, 69)(18, 93)(19, 95)(20, 71)(21, 96)(22, 78)(23, 72)(24, 94)(25, 76)(26, 74)(27, 79)(28, 75)(29, 82)(30, 88)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2) : C2 (small group id <32, 30>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 215>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (Y1^-1 * Y2^-1)^2, Y1^4, (Y2 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y3 * Y1^-2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2^-1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 19, 51, 10, 42)(4, 36, 14, 46, 20, 52, 15, 47)(6, 38, 17, 49, 21, 53, 8, 40)(9, 41, 24, 56, 18, 50, 25, 57)(12, 44, 22, 54, 30, 62, 28, 60)(13, 45, 29, 61, 31, 63, 23, 55)(16, 48, 27, 59, 32, 64, 26, 58)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 77, 109, 89, 121, 80, 112)(69, 101, 81, 113, 92, 124, 75, 107)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 87, 119, 78, 110, 90, 122)(79, 111, 91, 123, 82, 114, 93, 125)(84, 116, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 80)(7, 84)(8, 87)(9, 66)(10, 90)(11, 91)(12, 89)(13, 67)(14, 86)(15, 92)(16, 70)(17, 93)(18, 69)(19, 95)(20, 71)(21, 96)(22, 78)(23, 72)(24, 94)(25, 76)(26, 74)(27, 75)(28, 79)(29, 81)(30, 88)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = (C4 x D8) : C2 (small group id <64, 219>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, Y2^4, (Y2^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-2)^2, Y3 * Y2 * Y1^2 * Y3 * Y2, Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 21, 53, 13, 45)(4, 36, 14, 46, 22, 54, 16, 48)(6, 38, 10, 42, 23, 55, 19, 51)(9, 41, 26, 58, 18, 50, 28, 60)(11, 43, 24, 56, 32, 64, 31, 63)(12, 44, 30, 62, 17, 49, 27, 59)(15, 47, 29, 61, 20, 52, 25, 57)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 81, 113)(69, 101, 77, 109, 95, 127, 83, 115)(71, 103, 85, 117, 96, 128, 87, 119)(73, 105, 91, 123, 78, 110, 93, 125)(76, 108, 86, 118, 84, 116, 90, 122)(80, 112, 89, 121, 82, 114, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 82)(6, 84)(7, 86)(8, 89)(9, 66)(10, 94)(11, 92)(12, 67)(13, 93)(14, 88)(15, 87)(16, 95)(17, 85)(18, 69)(19, 91)(20, 70)(21, 81)(22, 71)(23, 79)(24, 78)(25, 72)(26, 96)(27, 83)(28, 75)(29, 77)(30, 74)(31, 80)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.399
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = (C4 x D8) : C2 (small group id <64, 219>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, Y2^4, (R * Y1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y3)^2, Y2^2 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2^2 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 21, 53, 8, 40)(4, 36, 14, 46, 22, 54, 16, 48)(6, 38, 19, 51, 23, 55, 10, 42)(9, 41, 26, 58, 18, 50, 28, 60)(12, 44, 24, 56, 32, 64, 31, 63)(13, 45, 27, 59, 17, 49, 30, 62)(15, 47, 25, 57, 20, 52, 29, 61)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 81, 113)(69, 101, 75, 107, 95, 127, 83, 115)(71, 103, 85, 117, 96, 128, 87, 119)(73, 105, 91, 123, 78, 110, 93, 125)(77, 109, 86, 118, 84, 116, 90, 122)(80, 112, 89, 121, 82, 114, 94, 126)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 84)(7, 86)(8, 89)(9, 66)(10, 94)(11, 93)(12, 92)(13, 67)(14, 88)(15, 87)(16, 95)(17, 85)(18, 69)(19, 91)(20, 70)(21, 81)(22, 71)(23, 79)(24, 78)(25, 72)(26, 96)(27, 83)(28, 76)(29, 75)(30, 74)(31, 80)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.398
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.400 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1^4, Y2^2 * Y1^2, (R * Y2)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 6, 38, 8, 40)(4, 36, 12, 44, 16, 48, 13, 45)(9, 41, 18, 50, 15, 47, 19, 51)(11, 43, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 20, 52, 26, 58)(23, 55, 27, 59, 24, 56, 28, 60)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 75, 107, 80, 112, 78, 110)(73, 105, 81, 113, 79, 111, 84, 116)(76, 108, 86, 118, 77, 109, 85, 117)(82, 114, 90, 122, 83, 115, 89, 121)(87, 119, 94, 126, 88, 120, 93, 125)(91, 123, 96, 128, 92, 124, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 65)(5, 79)(6, 78)(7, 80)(8, 81)(9, 66)(10, 84)(11, 67)(12, 87)(13, 88)(14, 70)(15, 69)(16, 71)(17, 72)(18, 91)(19, 92)(20, 74)(21, 93)(22, 94)(23, 76)(24, 77)(25, 95)(26, 96)(27, 82)(28, 83)(29, 85)(30, 86)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.403
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.401 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y3)^2, (R * Y2)^2, Y1^4, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (Y3 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 19, 51, 13, 45)(4, 36, 14, 46, 20, 52, 15, 47)(6, 38, 8, 40, 21, 53, 17, 49)(9, 41, 24, 56, 18, 50, 25, 57)(11, 43, 22, 54, 30, 62, 27, 59)(12, 44, 28, 60, 31, 63, 23, 55)(16, 48, 29, 61, 32, 64, 26, 58)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 76, 108, 88, 120, 80, 112)(69, 101, 81, 113, 91, 123, 77, 109)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 87, 119, 79, 111, 90, 122)(78, 110, 93, 125, 82, 114, 92, 124)(84, 116, 95, 127, 89, 121, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 82)(6, 80)(7, 84)(8, 87)(9, 66)(10, 90)(11, 88)(12, 67)(13, 93)(14, 91)(15, 86)(16, 70)(17, 92)(18, 69)(19, 95)(20, 71)(21, 96)(22, 79)(23, 72)(24, 75)(25, 94)(26, 74)(27, 78)(28, 81)(29, 77)(30, 89)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.402
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.402 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, Y2^-1 * Y1^2 * Y2^-1, Y1^2 * Y2^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 6, 38, 13, 45)(4, 36, 9, 41, 18, 50, 15, 47)(8, 40, 19, 51, 10, 42, 21, 53)(12, 44, 23, 55, 17, 49, 22, 54)(14, 46, 24, 56, 16, 48, 20, 52)(25, 57, 29, 61, 26, 58, 30, 62)(27, 59, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 78, 110, 82, 114, 80, 112)(73, 105, 86, 118, 79, 111, 87, 119)(75, 107, 89, 121, 77, 109, 90, 122)(76, 108, 91, 123, 81, 113, 92, 124)(83, 115, 93, 125, 85, 117, 94, 126)(84, 116, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 79)(6, 81)(7, 82)(8, 84)(9, 66)(10, 88)(11, 87)(12, 67)(13, 86)(14, 83)(15, 69)(16, 85)(17, 70)(18, 71)(19, 78)(20, 72)(21, 80)(22, 77)(23, 75)(24, 74)(25, 96)(26, 95)(27, 93)(28, 94)(29, 91)(30, 92)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.401
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.403 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 227>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1 * Y3, Y1^4, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1^-2 * Y3 * Y2^-1, Y2 * Y3 * Y2 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 19, 51, 13, 45)(4, 36, 9, 41, 20, 52, 15, 47)(6, 38, 8, 40, 21, 53, 17, 49)(11, 43, 22, 54, 30, 62, 28, 60)(12, 44, 26, 58, 16, 48, 24, 56)(14, 46, 25, 57, 18, 50, 23, 55)(27, 59, 31, 63, 29, 61, 32, 64)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 78, 110, 91, 123, 80, 112)(69, 101, 81, 113, 92, 124, 77, 109)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 88, 120, 95, 127, 89, 121)(76, 108, 84, 116, 82, 114, 93, 125)(79, 111, 90, 122, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 79)(6, 82)(7, 84)(8, 87)(9, 66)(10, 90)(11, 91)(12, 67)(13, 88)(14, 85)(15, 69)(16, 83)(17, 89)(18, 70)(19, 80)(20, 71)(21, 78)(22, 95)(23, 72)(24, 77)(25, 81)(26, 74)(27, 75)(28, 96)(29, 94)(30, 93)(31, 86)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.400
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.404 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 218>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y2^2, Y2 * Y3^2 * Y2, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, (Y2^-1 * Y1)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (Y1 * Y2)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43)(4, 36, 15, 47, 7, 39, 16, 48)(10, 42, 19, 51, 12, 44, 20, 52)(13, 45, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 18, 50, 26, 58)(23, 55, 27, 59, 24, 56, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 78, 110, 71, 103, 77, 109)(74, 106, 82, 114, 76, 108, 81, 113)(79, 111, 86, 118, 80, 112, 85, 117)(83, 115, 90, 122, 84, 116, 89, 121)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 74)(3, 77)(4, 72)(5, 76)(6, 78)(7, 65)(8, 71)(9, 81)(10, 69)(11, 82)(12, 66)(13, 70)(14, 67)(15, 87)(16, 88)(17, 75)(18, 73)(19, 91)(20, 92)(21, 93)(22, 94)(23, 80)(24, 79)(25, 95)(26, 96)(27, 84)(28, 83)(29, 86)(30, 85)(31, 90)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.406
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.405 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 218>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3 * Y2^-1, Y3^-2 * Y2^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2^-1 * Y3^-2 * Y2^-1, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 11, 43)(4, 36, 12, 44, 21, 53, 17, 49)(6, 38, 18, 50, 22, 54, 9, 41)(7, 39, 10, 42, 23, 55, 19, 51)(14, 46, 24, 56, 30, 62, 28, 60)(15, 47, 29, 61, 31, 63, 25, 57)(16, 48, 27, 59, 32, 64, 26, 58)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 79, 111)(69, 101, 82, 114, 92, 124, 77, 109)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 93, 125, 83, 115, 91, 123)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 79)(4, 78)(5, 83)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 91)(14, 71)(15, 70)(16, 67)(17, 69)(18, 93)(19, 92)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 82)(28, 81)(29, 77)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.406 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 218>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y1^4, Y2^4, (Y2 * Y1^-1)^2, (R * Y1)^2, Y3 * Y1^2 * Y3, (R * Y3)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 11, 43)(4, 36, 17, 49, 7, 39, 18, 50)(6, 38, 20, 52, 23, 55, 9, 41)(10, 42, 27, 59, 12, 44, 28, 60)(14, 46, 24, 56, 32, 64, 31, 63)(15, 47, 26, 58, 16, 48, 25, 57)(19, 51, 30, 62, 21, 53, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 92, 124, 83, 115)(69, 101, 84, 116, 95, 127, 77, 109)(71, 103, 79, 111, 91, 123, 85, 117)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 90, 122, 81, 113, 93, 125)(76, 108, 89, 121, 82, 114, 94, 126)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 85)(7, 65)(8, 71)(9, 89)(10, 69)(11, 94)(12, 66)(13, 93)(14, 92)(15, 86)(16, 67)(17, 95)(18, 88)(19, 70)(20, 90)(21, 87)(22, 80)(23, 83)(24, 81)(25, 84)(26, 73)(27, 78)(28, 96)(29, 75)(30, 77)(31, 82)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.404
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.407 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 234>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3^-2 * Y1^2, Y1^-1 * Y3^-2 * Y1^-1, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y2, Y1), Y1^4, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^4, (R * Y3)^2, Y2^-2 * Y1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y2^-2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 22, 54, 15, 47)(4, 36, 17, 49, 7, 39, 19, 51)(6, 38, 11, 43, 23, 55, 20, 52)(10, 42, 27, 59, 12, 44, 29, 61)(13, 45, 24, 56, 32, 64, 31, 63)(14, 46, 30, 62, 16, 48, 28, 60)(18, 50, 26, 58, 21, 53, 25, 57)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 82, 114, 91, 123, 78, 110)(69, 101, 79, 111, 95, 127, 84, 116)(71, 103, 85, 117, 93, 125, 80, 112)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 92, 124, 83, 115, 89, 121)(76, 108, 94, 126, 81, 113, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 89)(10, 69)(11, 92)(12, 66)(13, 91)(14, 86)(15, 90)(16, 67)(17, 88)(18, 87)(19, 95)(20, 94)(21, 70)(22, 80)(23, 85)(24, 83)(25, 79)(26, 73)(27, 96)(28, 84)(29, 77)(30, 75)(31, 81)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.409
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.408 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 234>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (R * Y3)^2, Y3^4, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2^4, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y2^-2 * Y1^-1 * Y3^-2 * Y1^-1, Y3^-2 * Y1^2 * Y2^2, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 12, 44, 24, 56, 18, 50)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 10, 42, 26, 58, 21, 53)(13, 45, 27, 59, 17, 49, 30, 62)(14, 46, 31, 63, 19, 51, 28, 60)(16, 48, 32, 64, 22, 54, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 80, 112, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 79, 111)(71, 103, 78, 110, 88, 120, 86, 118)(72, 104, 87, 119, 81, 113, 89, 121)(74, 106, 93, 125, 82, 114, 95, 127)(76, 108, 92, 124, 85, 117, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 85)(6, 86)(7, 65)(8, 88)(9, 92)(10, 94)(11, 96)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 71)(18, 69)(19, 70)(20, 95)(21, 91)(22, 87)(23, 83)(24, 77)(25, 80)(26, 72)(27, 82)(28, 79)(29, 73)(30, 76)(31, 75)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.409 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 234>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-2 * Y3, Y3^-2 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y3 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 22, 54, 15, 47)(4, 36, 17, 49, 7, 39, 18, 50)(6, 38, 9, 41, 23, 55, 20, 52)(10, 42, 27, 59, 12, 44, 28, 60)(13, 45, 24, 56, 32, 64, 31, 63)(14, 46, 26, 58, 16, 48, 25, 57)(19, 51, 30, 62, 21, 53, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 91, 123, 83, 115)(69, 101, 84, 116, 95, 127, 79, 111)(71, 103, 78, 110, 92, 124, 85, 117)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 90, 122, 82, 114, 93, 125)(76, 108, 89, 121, 81, 113, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 85)(7, 65)(8, 71)(9, 89)(10, 69)(11, 94)(12, 66)(13, 91)(14, 86)(15, 93)(16, 67)(17, 88)(18, 95)(19, 70)(20, 90)(21, 87)(22, 80)(23, 83)(24, 82)(25, 84)(26, 73)(27, 96)(28, 77)(29, 75)(30, 79)(31, 81)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.407
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.410 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 29>)
Aut   = (C4 x C2 x C2 x C2) : C2 (small group id <64, 206>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^4, Y1 * Y2 * Y1 * Y2^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y2, Y3 * Y1^-1 * Y2^2 * Y3 * Y1^-1, (Y3 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 21, 53, 8, 40)(4, 36, 14, 46, 22, 54, 16, 48)(6, 38, 19, 51, 23, 55, 10, 42)(9, 41, 26, 58, 18, 50, 28, 60)(12, 44, 24, 56, 32, 64, 31, 63)(13, 45, 30, 62, 17, 49, 27, 59)(15, 47, 29, 61, 20, 52, 25, 57)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 79, 111, 90, 122, 81, 113)(69, 101, 75, 107, 95, 127, 83, 115)(71, 103, 85, 117, 96, 128, 87, 119)(73, 105, 91, 123, 80, 112, 93, 125)(77, 109, 86, 118, 84, 116, 92, 124)(78, 110, 89, 121, 82, 114, 94, 126)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 84)(7, 86)(8, 89)(9, 66)(10, 94)(11, 93)(12, 90)(13, 67)(14, 95)(15, 87)(16, 88)(17, 85)(18, 69)(19, 91)(20, 70)(21, 81)(22, 71)(23, 79)(24, 80)(25, 72)(26, 76)(27, 83)(28, 96)(29, 75)(30, 74)(31, 78)(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) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.411 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 24>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y3 * Y2 * Y3, Y1^4, Y2^4, (R * Y2)^2, (R * Y3)^2, (Y1^-1, Y2), (R * Y1)^2, (Y3 * Y1^-2)^2, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 19, 51, 13, 45)(4, 36, 14, 46, 20, 52, 15, 47)(6, 38, 10, 42, 21, 53, 18, 50)(9, 41, 24, 56, 17, 49, 25, 57)(11, 43, 22, 54, 30, 62, 27, 59)(12, 44, 26, 58, 31, 63, 28, 60)(16, 48, 23, 55, 32, 64, 29, 61)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 76, 108, 89, 121, 80, 112)(69, 101, 77, 109, 91, 123, 82, 114)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 87, 119, 78, 110, 90, 122)(79, 111, 92, 124, 81, 113, 93, 125)(84, 116, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 81)(6, 80)(7, 84)(8, 87)(9, 66)(10, 90)(11, 89)(12, 67)(13, 93)(14, 86)(15, 91)(16, 70)(17, 69)(18, 92)(19, 95)(20, 71)(21, 96)(22, 78)(23, 72)(24, 94)(25, 75)(26, 74)(27, 79)(28, 82)(29, 77)(30, 88)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.412
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 24>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1^-1, Y2^4, (R * Y1)^2, Y1^4, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2^-2 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-2)^2, (Y1^-1 * Y2^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 19, 51, 13, 45)(4, 36, 14, 46, 20, 52, 15, 47)(6, 38, 8, 40, 21, 53, 17, 49)(9, 41, 24, 56, 18, 50, 25, 57)(11, 43, 22, 54, 30, 62, 27, 59)(12, 44, 23, 55, 31, 63, 28, 60)(16, 48, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 75, 107, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 76, 108, 89, 121, 80, 112)(69, 101, 81, 113, 91, 123, 77, 109)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 87, 119, 78, 110, 90, 122)(79, 111, 93, 125, 82, 114, 92, 124)(84, 116, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 82)(6, 80)(7, 84)(8, 87)(9, 66)(10, 90)(11, 89)(12, 67)(13, 93)(14, 86)(15, 91)(16, 70)(17, 92)(18, 69)(19, 95)(20, 71)(21, 96)(22, 78)(23, 72)(24, 94)(25, 75)(26, 74)(27, 79)(28, 81)(29, 77)(30, 88)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.411
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 31>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 216>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, Y2^4, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-2, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y1 * Y3 * Y1^-1, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y3, (Y3 * Y1^-2)^2, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y2^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 21, 53, 10, 42)(4, 36, 14, 46, 22, 54, 16, 48)(6, 38, 18, 50, 23, 55, 8, 40)(9, 41, 26, 58, 19, 51, 28, 60)(12, 44, 24, 56, 32, 64, 31, 63)(13, 45, 29, 61, 17, 49, 25, 57)(15, 47, 30, 62, 20, 52, 27, 59)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 81, 113)(69, 101, 82, 114, 95, 127, 75, 107)(71, 103, 85, 117, 96, 128, 87, 119)(73, 105, 91, 123, 78, 110, 93, 125)(77, 109, 86, 118, 84, 116, 90, 122)(80, 112, 89, 121, 83, 115, 94, 126)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 83)(6, 84)(7, 86)(8, 89)(9, 66)(10, 94)(11, 91)(12, 92)(13, 67)(14, 88)(15, 87)(16, 95)(17, 85)(18, 93)(19, 69)(20, 70)(21, 81)(22, 71)(23, 79)(24, 78)(25, 72)(26, 96)(27, 75)(28, 76)(29, 82)(30, 74)(31, 80)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 221>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3^4, (R * Y1)^2, Y2^4, Y1^-1 * Y2^-2 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^2 * Y1 * Y2^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 17, 49, 24, 56, 10, 42)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 21, 53, 26, 58, 12, 44)(13, 45, 27, 59, 19, 51, 31, 63)(14, 46, 29, 61, 22, 54, 30, 62)(16, 48, 28, 60, 18, 50, 32, 64)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 82, 114, 90, 122, 78, 110)(69, 101, 84, 116, 95, 127, 79, 111)(71, 103, 86, 118, 88, 120, 80, 112)(72, 104, 87, 119, 83, 115, 89, 121)(74, 106, 94, 126, 85, 117, 92, 124)(76, 108, 96, 128, 81, 113, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 83)(5, 81)(6, 82)(7, 65)(8, 88)(9, 92)(10, 95)(11, 94)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 91)(18, 87)(19, 71)(20, 96)(21, 69)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 85)(28, 79)(29, 73)(30, 84)(31, 76)(32, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.419
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 221>)
|r| :: 2
Presentation :: [ R^2, R * Y2 * R * Y2^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^4, Y2^4, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^2 * Y3^-2 * Y1^-1, Y3^-2 * Y1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 12, 44, 24, 56, 19, 51)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 10, 42, 26, 58, 21, 53)(13, 45, 27, 59, 18, 50, 31, 63)(14, 46, 32, 64, 22, 54, 28, 60)(16, 48, 30, 62, 17, 49, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 81, 113, 90, 122, 78, 110)(69, 101, 84, 116, 95, 127, 79, 111)(71, 103, 86, 118, 88, 120, 80, 112)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 94, 126, 83, 115, 92, 124)(76, 108, 96, 128, 85, 117, 93, 125)
	L = (1, 68)(2, 74)(3, 78)(4, 82)(5, 85)(6, 81)(7, 65)(8, 88)(9, 92)(10, 95)(11, 94)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 87)(18, 71)(19, 69)(20, 96)(21, 91)(22, 70)(23, 86)(24, 77)(25, 80)(26, 72)(27, 83)(28, 79)(29, 73)(30, 84)(31, 76)(32, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.418
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 221>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1^-2 * Y2, Y1^4, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^2 * Y1^2, (Y3, Y1), (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 6, 38, 15, 47)(4, 36, 10, 42, 22, 54, 18, 50)(7, 39, 12, 44, 23, 55, 20, 52)(9, 41, 24, 56, 11, 43, 26, 58)(14, 46, 29, 61, 21, 53, 27, 59)(16, 48, 30, 62, 19, 51, 25, 57)(17, 49, 28, 60, 32, 64, 31, 63)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 80, 112, 86, 118, 83, 115)(71, 103, 78, 110, 87, 119, 85, 117)(74, 106, 91, 123, 82, 114, 93, 125)(76, 108, 89, 121, 84, 116, 94, 126)(77, 109, 92, 124, 79, 111, 95, 127)(81, 113, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 85)(7, 65)(8, 86)(9, 89)(10, 92)(11, 94)(12, 66)(13, 93)(14, 88)(15, 91)(16, 67)(17, 71)(18, 95)(19, 70)(20, 69)(21, 90)(22, 96)(23, 72)(24, 80)(25, 79)(26, 83)(27, 73)(28, 76)(29, 75)(30, 77)(31, 84)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.417
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 221>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, (Y3, Y1), Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^2 * Y1^-2, Y2^-2 * Y3^2 * Y1^-2, Y2^-2 * Y1^-1 * Y3^2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 23, 55, 15, 47)(4, 36, 10, 42, 24, 56, 18, 50)(6, 38, 9, 41, 25, 57, 20, 52)(7, 39, 12, 44, 26, 58, 21, 53)(13, 45, 27, 59, 17, 49, 30, 62)(14, 46, 32, 64, 19, 51, 29, 61)(16, 48, 31, 63, 22, 54, 28, 60)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 80, 112, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 79, 111)(71, 103, 78, 110, 88, 120, 86, 118)(72, 104, 87, 119, 81, 113, 89, 121)(74, 106, 93, 125, 85, 117, 95, 127)(76, 108, 92, 124, 82, 114, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 81)(5, 82)(6, 86)(7, 65)(8, 88)(9, 92)(10, 94)(11, 96)(12, 66)(13, 90)(14, 89)(15, 93)(16, 67)(17, 71)(18, 91)(19, 70)(20, 95)(21, 69)(22, 87)(23, 83)(24, 77)(25, 80)(26, 72)(27, 85)(28, 79)(29, 73)(30, 76)(31, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.416
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 221>)
|r| :: 2
Presentation :: [ R^2, Y2^4, Y3^4, (R * Y1)^2, (Y3, Y1), (R * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, Y3 * Y2^2 * Y3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y1^-2, Y2 * Y3^-1 * Y2 * Y1^-2 * Y3^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 22, 54, 15, 47)(4, 36, 10, 42, 23, 55, 18, 50)(6, 38, 9, 41, 24, 56, 20, 52)(7, 39, 12, 44, 25, 57, 21, 53)(13, 45, 26, 58, 32, 64, 31, 63)(14, 46, 28, 60, 17, 49, 30, 62)(16, 48, 27, 59, 19, 51, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 90, 122, 75, 107)(68, 100, 81, 113, 71, 103, 83, 115)(69, 101, 84, 116, 95, 127, 79, 111)(72, 104, 86, 118, 96, 128, 88, 120)(74, 106, 93, 125, 76, 108, 94, 126)(78, 110, 89, 121, 80, 112, 87, 119)(82, 114, 91, 123, 85, 117, 92, 124)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 82)(6, 80)(7, 65)(8, 87)(9, 91)(10, 90)(11, 92)(12, 66)(13, 71)(14, 70)(15, 94)(16, 67)(17, 88)(18, 95)(19, 86)(20, 93)(21, 69)(22, 81)(23, 96)(24, 83)(25, 72)(26, 76)(27, 75)(28, 73)(29, 79)(30, 84)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.415
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2) . (C2 x C2 x C2) (small group id <32, 32>)
Aut   = (C4 x D8) : C2 (small group id <64, 221>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^-1 * Y1^-2 * Y3^-1, Y1^-1 * Y2^2 * Y1^-1, Y1^4, Y2 * Y3^2 * Y2, Y2^-2 * Y1^-2, (R * Y3)^2, Y1^-1 * Y3^2 * Y1^-1, (R * Y1)^2, Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y3^-1, Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * R * Y2 * R * Y3, Y2 * Y1^-1 * Y3^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 6, 38, 15, 47)(4, 36, 17, 49, 7, 39, 19, 51)(9, 41, 21, 53, 11, 43, 23, 55)(10, 42, 25, 57, 12, 44, 27, 59)(14, 46, 22, 54, 16, 48, 24, 56)(18, 50, 26, 58, 20, 52, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 75, 107)(68, 100, 82, 114, 71, 103, 84, 116)(74, 106, 90, 122, 76, 108, 92, 124)(77, 109, 93, 125, 79, 111, 94, 126)(78, 110, 91, 123, 80, 112, 89, 121)(81, 113, 88, 120, 83, 115, 86, 118)(85, 117, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 86)(10, 69)(11, 88)(12, 66)(13, 92)(14, 70)(15, 90)(16, 67)(17, 93)(18, 87)(19, 94)(20, 85)(21, 82)(22, 75)(23, 84)(24, 73)(25, 95)(26, 77)(27, 96)(28, 79)(29, 83)(30, 81)(31, 91)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.414
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y2^-1 * Y1)^2, Y1^4, Y2^2 * Y1^2, (R * Y2)^2, Y1^-1 * Y2^2 * Y1^-1, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 6, 38, 10, 42)(4, 36, 12, 44, 16, 48, 13, 45)(9, 41, 18, 50, 15, 47, 19, 51)(11, 43, 21, 53, 14, 46, 22, 54)(17, 49, 25, 57, 20, 52, 26, 58)(23, 55, 27, 59, 24, 56, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 75, 107, 80, 112, 78, 110)(73, 105, 81, 113, 79, 111, 84, 116)(76, 108, 85, 117, 77, 109, 86, 118)(82, 114, 89, 121, 83, 115, 90, 122)(87, 119, 93, 125, 88, 120, 94, 126)(91, 123, 95, 127, 92, 124, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 65)(5, 79)(6, 78)(7, 80)(8, 81)(9, 66)(10, 84)(11, 67)(12, 87)(13, 88)(14, 70)(15, 69)(16, 71)(17, 72)(18, 91)(19, 92)(20, 74)(21, 93)(22, 94)(23, 76)(24, 77)(25, 95)(26, 96)(27, 82)(28, 83)(29, 85)(30, 86)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.421
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D8 (small group id <32, 25>)
Aut   = D8 x D8 (small group id <64, 226>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, Y2^4, (R * Y2)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, Y1^4, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1^-1 * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 19, 51, 10, 42)(4, 36, 14, 46, 20, 52, 15, 47)(6, 38, 17, 49, 21, 53, 8, 40)(9, 41, 24, 56, 18, 50, 25, 57)(12, 44, 22, 54, 30, 62, 28, 60)(13, 45, 23, 55, 31, 63, 29, 61)(16, 48, 26, 58, 32, 64, 27, 59)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 86, 118, 74, 106)(68, 100, 77, 109, 88, 120, 80, 112)(69, 101, 81, 113, 92, 124, 75, 107)(71, 103, 83, 115, 94, 126, 85, 117)(73, 105, 87, 119, 79, 111, 90, 122)(78, 110, 91, 123, 82, 114, 93, 125)(84, 116, 95, 127, 89, 121, 96, 128)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 80)(7, 84)(8, 87)(9, 66)(10, 90)(11, 91)(12, 88)(13, 67)(14, 92)(15, 86)(16, 70)(17, 93)(18, 69)(19, 95)(20, 71)(21, 96)(22, 79)(23, 72)(24, 76)(25, 94)(26, 74)(27, 75)(28, 78)(29, 81)(30, 89)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.420
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x Q8 (small group id <32, 26>)
Aut   = (C2 x C2 x Q8) : C2 (small group id <64, 229>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3^-2 * Y2^2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y1^4, (Y2, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 15, 47)(4, 36, 12, 44, 21, 53, 17, 49)(6, 38, 11, 43, 22, 54, 19, 51)(7, 39, 10, 42, 23, 55, 18, 50)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 26, 58, 31, 63, 28, 60)(16, 48, 25, 57, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 79, 111, 91, 123, 83, 115)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 93, 125, 82, 114, 92, 124)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 82)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 93)(16, 67)(17, 69)(18, 91)(19, 92)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 81)(28, 79)(29, 83)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x Q8 (small group id <32, 26>)
Aut   = (C4 x D8) : C2 (small group id <64, 231>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-2 * Y2^-1, Y3^-4, Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y2, Y1^-1), Y2^4, Y1^4, (Y3, Y1^-1), R * Y2 * R * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 20, 52, 15, 47)(4, 36, 10, 42, 21, 53, 17, 49)(6, 38, 11, 43, 22, 54, 18, 50)(7, 39, 12, 44, 23, 55, 19, 51)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 25, 57, 31, 63, 28, 60)(16, 48, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 79, 111, 91, 123, 82, 114)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 93, 125, 83, 115, 92, 124)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 81)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 92)(16, 67)(17, 91)(18, 93)(19, 69)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 83)(28, 82)(29, 79)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.424
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.424 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x Q8 (small group id <32, 26>)
Aut   = (C4 x D8) : C2 (small group id <64, 231>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^4, Y1^4, (Y3, Y1^-1), R * Y2 * R * Y2^-1, Y1^-1 * Y3^-1 * Y2^-2 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 10, 42, 21, 53, 17, 49)(6, 38, 9, 41, 22, 54, 18, 50)(7, 39, 12, 44, 23, 55, 19, 51)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 26, 58, 31, 63, 28, 60)(16, 48, 25, 57, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 82, 114, 91, 123, 79, 111)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 92, 124, 83, 115, 93, 125)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 81)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 92)(16, 67)(17, 91)(18, 93)(19, 69)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 83)(28, 82)(29, 79)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.423
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.425 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = C4 x Q8 (small group id <32, 26>)
Aut   = (C4 x D8) : C2 (small group id <64, 231>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y2^2, Y3^-2 * Y2^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 20, 52, 15, 47)(4, 36, 12, 44, 21, 53, 17, 49)(6, 38, 9, 41, 22, 54, 18, 50)(7, 39, 10, 42, 23, 55, 19, 51)(13, 45, 24, 56, 30, 62, 27, 59)(14, 46, 25, 57, 31, 63, 28, 60)(16, 48, 26, 58, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 80, 112, 71, 103, 78, 110)(69, 101, 82, 114, 91, 123, 79, 111)(72, 104, 84, 116, 94, 126, 86, 118)(74, 106, 90, 122, 76, 108, 89, 121)(81, 113, 92, 124, 83, 115, 93, 125)(85, 117, 96, 128, 87, 119, 95, 127)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 83)(6, 80)(7, 65)(8, 85)(9, 89)(10, 88)(11, 90)(12, 66)(13, 71)(14, 70)(15, 93)(16, 67)(17, 69)(18, 92)(19, 91)(20, 95)(21, 94)(22, 96)(23, 72)(24, 76)(25, 75)(26, 73)(27, 81)(28, 79)(29, 82)(30, 87)(31, 86)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1 * Y2^-2 * Y1, (Y3 * R)^2, Y1^-1 * Y2^-2 * Y1^-1, Y1^4, Y2^4, (R * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y1 * Y2^-1, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 6, 38, 13, 45)(4, 36, 14, 46, 20, 52, 16, 48)(8, 40, 21, 53, 10, 42, 23, 55)(9, 41, 24, 56, 18, 50, 26, 58)(12, 44, 28, 60, 19, 51, 22, 54)(15, 47, 27, 59, 17, 49, 25, 57)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 71, 103, 70, 102)(66, 98, 72, 104, 69, 101, 74, 106)(68, 100, 79, 111, 84, 116, 81, 113)(73, 105, 89, 121, 82, 114, 91, 123)(75, 107, 93, 125, 77, 109, 94, 126)(76, 108, 90, 122, 83, 115, 88, 120)(78, 110, 92, 124, 80, 112, 86, 118)(85, 117, 95, 127, 87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 82)(6, 83)(7, 84)(8, 86)(9, 66)(10, 92)(11, 89)(12, 67)(13, 91)(14, 93)(15, 87)(16, 94)(17, 85)(18, 69)(19, 70)(20, 71)(21, 81)(22, 72)(23, 79)(24, 95)(25, 75)(26, 96)(27, 77)(28, 74)(29, 78)(30, 80)(31, 88)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.427
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^4, Y1 * Y2 * Y1 * Y2^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2, Y1^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y2^-1 * Y1^2 * Y2^-1)^2, (Y2^-2 * Y1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 21, 53, 8, 40)(4, 36, 14, 46, 22, 54, 16, 48)(6, 38, 19, 51, 23, 55, 10, 42)(9, 41, 26, 58, 18, 50, 28, 60)(12, 44, 24, 56, 32, 64, 31, 63)(13, 45, 29, 61, 15, 47, 30, 62)(17, 49, 25, 57, 20, 52, 27, 59)(65, 97, 67, 99, 76, 108, 70, 102)(66, 98, 72, 104, 88, 120, 74, 106)(68, 100, 79, 111, 92, 124, 81, 113)(69, 101, 75, 107, 95, 127, 83, 115)(71, 103, 85, 117, 96, 128, 87, 119)(73, 105, 91, 123, 78, 110, 93, 125)(77, 109, 90, 122, 84, 116, 86, 118)(80, 112, 94, 126, 82, 114, 89, 121)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 82)(6, 84)(7, 86)(8, 89)(9, 66)(10, 94)(11, 91)(12, 92)(13, 67)(14, 88)(15, 85)(16, 95)(17, 87)(18, 69)(19, 93)(20, 70)(21, 79)(22, 71)(23, 81)(24, 78)(25, 72)(26, 96)(27, 75)(28, 76)(29, 83)(30, 74)(31, 80)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.426
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.428 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ R^2, (R * Y2)^2, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y3^4, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (Y2^-1 * Y1^-1)^2, Y2^4, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y2^-1 * Y1^2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 23, 55, 11, 43)(4, 36, 17, 49, 24, 56, 10, 42)(6, 38, 20, 52, 25, 57, 9, 41)(7, 39, 21, 53, 26, 58, 12, 44)(14, 46, 27, 59, 18, 50, 30, 62)(15, 47, 31, 63, 22, 54, 29, 61)(16, 48, 32, 64, 19, 51, 28, 60)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 91, 123, 75, 107)(68, 100, 79, 111, 90, 122, 83, 115)(69, 101, 84, 116, 94, 126, 77, 109)(71, 103, 80, 112, 88, 120, 86, 118)(72, 104, 87, 119, 82, 114, 89, 121)(74, 106, 92, 124, 85, 117, 95, 127)(76, 108, 93, 125, 81, 113, 96, 128)
	L = (1, 68)(2, 74)(3, 79)(4, 82)(5, 81)(6, 83)(7, 65)(8, 88)(9, 92)(10, 94)(11, 95)(12, 66)(13, 93)(14, 90)(15, 89)(16, 67)(17, 91)(18, 71)(19, 87)(20, 96)(21, 69)(22, 70)(23, 86)(24, 78)(25, 80)(26, 72)(27, 85)(28, 77)(29, 73)(30, 76)(31, 84)(32, 75)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.429
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.429 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 33>)
Aut   = ((C4 x C2 x C2) : C2) : C2 (small group id <64, 241>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y3^2 * Y1^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y2^4, (R * Y2)^2, (Y3, Y2^-1), (Y2^-1 * Y1^-1)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y2^2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2^-2 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 22, 54, 11, 43)(4, 36, 17, 49, 7, 39, 18, 50)(6, 38, 20, 52, 23, 55, 9, 41)(10, 42, 27, 59, 12, 44, 28, 60)(14, 46, 24, 56, 32, 64, 31, 63)(15, 47, 26, 58, 16, 48, 25, 57)(19, 51, 30, 62, 21, 53, 29, 61)(65, 97, 67, 99, 78, 110, 70, 102)(66, 98, 73, 105, 88, 120, 75, 107)(68, 100, 79, 111, 92, 124, 83, 115)(69, 101, 84, 116, 95, 127, 77, 109)(71, 103, 80, 112, 91, 123, 85, 117)(72, 104, 86, 118, 96, 128, 87, 119)(74, 106, 89, 121, 81, 113, 93, 125)(76, 108, 90, 122, 82, 114, 94, 126)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 89)(10, 69)(11, 93)(12, 66)(13, 94)(14, 92)(15, 86)(16, 67)(17, 95)(18, 88)(19, 87)(20, 90)(21, 70)(22, 80)(23, 85)(24, 81)(25, 84)(26, 73)(27, 78)(28, 96)(29, 77)(30, 75)(31, 82)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.428
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.430 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 7, 39, 13, 45, 10, 42)(5, 37, 8, 40, 14, 46, 11, 43)(9, 41, 15, 47, 21, 53, 18, 50)(12, 44, 16, 48, 22, 54, 19, 51)(17, 49, 23, 55, 28, 60, 26, 58)(20, 52, 24, 56, 29, 61, 27, 59)(25, 57, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 73, 105, 81, 113, 89, 121, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 74, 106, 82, 114, 90, 122, 95, 127, 91, 123, 83, 115, 75, 107)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 66)(2, 70)(3, 71)(4, 65)(5, 72)(6, 68)(7, 77)(8, 78)(9, 79)(10, 67)(11, 69)(12, 80)(13, 74)(14, 75)(15, 85)(16, 86)(17, 87)(18, 73)(19, 76)(20, 88)(21, 82)(22, 83)(23, 92)(24, 93)(25, 94)(26, 81)(27, 84)(28, 90)(29, 91)(30, 96)(31, 89)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.434
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.431 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, (R * Y2)^2, Y1^4, (Y2, Y3^-1), Y2 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1, Y2^-2 * Y1^-1 * Y3 * Y2^-2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 31, 63, 29, 61)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 28, 60)(19, 51, 27, 59, 32, 64, 30, 62)(65, 97, 67, 99, 77, 109, 92, 124, 76, 108, 89, 121, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 81, 113, 68, 100, 78, 110, 91, 123, 75, 107)(69, 101, 79, 111, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 82, 114)(72, 104, 85, 117, 95, 127, 90, 122, 74, 106, 88, 120, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 91)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 87)(20, 70)(21, 80)(22, 84)(23, 96)(24, 79)(25, 73)(26, 82)(27, 95)(28, 75)(29, 83)(30, 77)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.435
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.432 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^-2, Y3^2 * Y1^2, Y3^4, (Y3^-1, Y1^-1), (Y2^-1, Y1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^2 * Y3^-1 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 31, 63, 30, 62)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 28, 60)(19, 51, 27, 59, 32, 64, 29, 61)(65, 97, 67, 99, 77, 109, 90, 122, 74, 106, 88, 120, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 84, 116, 71, 103, 80, 112, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 82, 114, 69, 101, 79, 111, 94, 126, 81, 113)(72, 104, 85, 117, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 94)(20, 70)(21, 80)(22, 84)(23, 83)(24, 79)(25, 73)(26, 82)(27, 77)(28, 75)(29, 95)(30, 96)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.433
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.433 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y3^4, Y2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 12, 44, 3, 35, 8, 40, 16, 48, 5, 37)(4, 36, 9, 41, 18, 50, 24, 56, 11, 43, 20, 52, 27, 59, 15, 47)(6, 38, 10, 42, 19, 51, 25, 57, 13, 45, 21, 53, 28, 60, 17, 49)(14, 46, 22, 54, 29, 61, 31, 63, 23, 55, 30, 62, 32, 64, 26, 58)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 80, 112)(73, 105, 84, 116)(74, 106, 85, 117)(78, 110, 87, 119)(79, 111, 88, 120)(81, 113, 89, 121)(82, 114, 91, 123)(83, 115, 92, 124)(86, 118, 94, 126)(90, 122, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 82)(8, 84)(9, 86)(10, 66)(11, 87)(12, 88)(13, 67)(14, 70)(15, 90)(16, 91)(17, 69)(18, 93)(19, 71)(20, 94)(21, 72)(22, 74)(23, 77)(24, 95)(25, 76)(26, 81)(27, 96)(28, 80)(29, 83)(30, 85)(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) :: { ( 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 E17.432
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, (R * Y2)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y1)^2, (Y1, Y3), Y1^8, Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 23, 55, 21, 53, 13, 45, 5, 37)(3, 35, 8, 40, 16, 48, 24, 56, 30, 62, 27, 59, 19, 51, 11, 43)(4, 36, 9, 41, 17, 49, 25, 57, 31, 63, 28, 60, 20, 52, 12, 44)(6, 38, 10, 42, 18, 50, 26, 58, 32, 64, 29, 61, 22, 54, 14, 46)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 80, 112)(73, 105, 74, 106)(76, 108, 78, 110)(77, 109, 83, 115)(79, 111, 88, 120)(81, 113, 82, 114)(84, 116, 86, 118)(85, 117, 91, 123)(87, 119, 94, 126)(89, 121, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 76)(6, 65)(7, 81)(8, 74)(9, 72)(10, 66)(11, 78)(12, 75)(13, 84)(14, 69)(15, 89)(16, 82)(17, 80)(18, 71)(19, 86)(20, 83)(21, 92)(22, 77)(23, 95)(24, 90)(25, 88)(26, 79)(27, 93)(28, 91)(29, 85)(30, 96)(31, 94)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.430
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C4 (small group id <32, 3>)
Aut   = (C8 x C4) : C2 (small group id <64, 174>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-1 * Y2 * Y3, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3, Y1), Y2 * Y1 * Y2 * Y1^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1^2, Y1^-8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 25, 57, 31, 63, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 29, 61, 14, 46, 24, 56, 27, 59, 12, 44)(4, 36, 9, 41, 20, 52, 28, 60, 13, 45, 23, 55, 30, 62, 15, 47)(6, 38, 10, 42, 21, 53, 26, 58, 11, 43, 22, 54, 32, 64, 17, 49)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(84, 116, 96, 128)(85, 117, 94, 126)(88, 120, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 89)(12, 90)(13, 67)(14, 70)(15, 93)(16, 94)(17, 69)(18, 92)(19, 96)(20, 91)(21, 71)(22, 95)(23, 72)(24, 74)(25, 77)(26, 82)(27, 85)(28, 76)(29, 81)(30, 83)(31, 87)(32, 80)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.431
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, R * Y2 * R * Y1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y2^2 * Y1 * Y2^-2, R * Y2^3 * R * Y2^-1, (R * Y2)^4, (Y2, Y1^-1)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 29, 61, 26, 58)(16, 48, 24, 56, 30, 62, 27, 59)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 87, 119, 96, 128, 85, 117, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 78, 110, 89, 121, 73, 105, 88, 120, 72, 104)(68, 100, 76, 108, 90, 122, 79, 111, 92, 124, 75, 107, 91, 123, 77, 109)(70, 102, 81, 113, 93, 125, 86, 118, 95, 127, 83, 115, 94, 126, 82, 114)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 93)(21, 71)(22, 77)(23, 72)(24, 94)(25, 95)(26, 74)(27, 80)(28, 96)(29, 90)(30, 91)(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, 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 E17.440
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-2, Y1^2 * Y3^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y1)^2, Y2 * Y3 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1^-1, Y1^4, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 17, 49, 22, 54, 19, 51)(9, 41, 23, 55, 16, 48, 25, 57)(11, 43, 26, 58, 18, 50, 27, 59)(14, 46, 24, 56, 31, 63, 29, 61)(20, 52, 28, 60, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 91, 123, 76, 108, 89, 121, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 81, 113, 68, 100, 77, 109, 92, 124, 75, 107)(69, 101, 80, 112, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 82, 114)(72, 104, 85, 117, 95, 127, 90, 122, 74, 106, 87, 119, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 73)(4, 72)(5, 76)(6, 75)(7, 65)(8, 71)(9, 85)(10, 69)(11, 86)(12, 66)(13, 87)(14, 92)(15, 89)(16, 67)(17, 90)(18, 70)(19, 91)(20, 88)(21, 80)(22, 82)(23, 79)(24, 96)(25, 77)(26, 83)(27, 81)(28, 95)(29, 84)(30, 78)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.441
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^2, Y1^4, Y3 * Y2^-1 * Y1 * Y2, (Y1, Y3), Y1^2 * Y3^-2, Y3^4, Y2^-1 * Y3 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1 * Y3^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 19, 51, 22, 54, 17, 49)(9, 41, 23, 55, 15, 47, 25, 57)(11, 43, 27, 59, 18, 50, 26, 58)(14, 46, 24, 56, 31, 63, 30, 62)(20, 52, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 90, 122, 74, 106, 89, 121, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 83, 115, 71, 103, 77, 109, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 82, 114, 69, 101, 79, 111, 94, 126, 81, 113)(72, 104, 85, 117, 95, 127, 91, 123, 76, 108, 87, 119, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 67)(10, 69)(11, 70)(12, 66)(13, 89)(14, 93)(15, 85)(16, 87)(17, 91)(18, 86)(19, 90)(20, 94)(21, 73)(22, 75)(23, 77)(24, 84)(25, 80)(26, 81)(27, 83)(28, 78)(29, 95)(30, 96)(31, 92)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.439
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1^-1 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y3^-1, Y3 * Y2 * Y1^-1 * Y3^-1 * Y1, Y2 * Y1^4, Y1^-1 * Y3^2 * Y1 * Y3^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 12, 44, 3, 35, 8, 40, 18, 50, 5, 37)(4, 36, 14, 46, 22, 54, 17, 49, 11, 43, 9, 41, 24, 56, 16, 48)(6, 38, 20, 52, 23, 55, 19, 51, 13, 45, 10, 42, 26, 58, 21, 53)(15, 47, 25, 57, 31, 63, 30, 62, 27, 59, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 82, 114)(73, 105, 78, 110)(74, 106, 84, 116)(79, 111, 91, 123)(80, 112, 81, 113)(83, 115, 85, 117)(86, 118, 88, 120)(87, 119, 90, 122)(89, 121, 92, 124)(93, 125, 94, 126)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 86)(8, 78)(9, 89)(10, 66)(11, 91)(12, 80)(13, 67)(14, 92)(15, 70)(16, 94)(17, 93)(18, 88)(19, 69)(20, 72)(21, 76)(22, 95)(23, 71)(24, 96)(25, 74)(26, 82)(27, 77)(28, 84)(29, 83)(30, 85)(31, 87)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.438
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.440 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-2, Y1 * Y2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y1^3 * Y3^-1, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3^-1 * Y1^-2, (Y3, Y1)^2, Y3^-1 * Y1^2 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 31, 63, 29, 61, 15, 47, 5, 37)(3, 35, 8, 40, 20, 52, 30, 62, 32, 64, 28, 60, 27, 59, 11, 43)(4, 36, 12, 44, 21, 53, 14, 46, 24, 56, 9, 41, 23, 55, 13, 45)(6, 38, 17, 49, 22, 54, 16, 48, 26, 58, 10, 42, 25, 57, 18, 50)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 84, 116)(73, 105, 74, 106)(76, 108, 81, 113)(77, 109, 82, 114)(78, 110, 80, 112)(79, 111, 91, 123)(83, 115, 94, 126)(85, 117, 86, 118)(87, 119, 89, 121)(88, 120, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 78)(6, 65)(7, 85)(8, 74)(9, 72)(10, 66)(11, 80)(12, 92)(13, 94)(14, 75)(15, 87)(16, 69)(17, 93)(18, 83)(19, 77)(20, 86)(21, 84)(22, 71)(23, 91)(24, 96)(25, 79)(26, 95)(27, 89)(28, 81)(29, 76)(30, 82)(31, 88)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.436
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.441 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 : C4 (small group id <32, 4>)
Aut   = (C2 x D16) : C2 (small group id <64, 177>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3^4, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 22, 54, 29, 61, 31, 63, 18, 50, 5, 37)(3, 35, 8, 40, 23, 55, 32, 64, 15, 47, 27, 59, 30, 62, 12, 44)(4, 36, 14, 46, 24, 56, 17, 49, 13, 45, 9, 41, 26, 58, 16, 48)(6, 38, 20, 52, 25, 57, 19, 51, 11, 43, 10, 42, 28, 60, 21, 53)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 87, 119)(73, 105, 84, 116)(74, 106, 78, 110)(79, 111, 93, 125)(80, 112, 83, 115)(81, 113, 85, 117)(82, 114, 94, 126)(86, 118, 96, 128)(88, 120, 92, 124)(89, 121, 90, 122)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 88)(8, 84)(9, 91)(10, 66)(11, 93)(12, 85)(13, 67)(14, 72)(15, 70)(16, 76)(17, 96)(18, 90)(19, 69)(20, 95)(21, 86)(22, 80)(23, 92)(24, 94)(25, 71)(26, 87)(27, 74)(28, 82)(29, 77)(30, 89)(31, 78)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.437
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.442 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, (Y1^-3 * Y2^-1)^2, Y2^8, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 3, 35)(2, 34, 6, 38)(4, 36, 9, 41)(5, 37, 12, 44)(7, 39, 15, 47)(8, 40, 16, 48)(10, 42, 17, 49)(11, 43, 21, 53)(13, 45, 23, 55)(14, 46, 24, 56)(18, 50, 25, 57)(19, 51, 27, 59)(20, 52, 28, 60)(22, 54, 30, 62)(26, 58, 31, 63)(29, 61, 32, 64)(65, 66, 69, 75, 84, 83, 74, 68)(67, 71, 76, 86, 92, 90, 81, 72)(70, 77, 85, 93, 91, 82, 73, 78)(79, 87, 94, 96, 95, 89, 80, 88)(97, 98, 101, 107, 116, 115, 106, 100)(99, 103, 108, 118, 124, 122, 113, 104)(102, 109, 117, 125, 123, 114, 105, 110)(111, 119, 126, 128, 127, 121, 112, 120)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.448
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.443 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-2, Y1^-2 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), (Y2 * Y1^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2^-1 * Y3 * Y1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 11, 43)(5, 37, 16, 48)(6, 38, 17, 49)(7, 39, 18, 50)(8, 40, 19, 51)(10, 42, 24, 56)(12, 44, 25, 57)(13, 45, 26, 58)(14, 46, 27, 59)(15, 47, 28, 60)(20, 52, 29, 61)(21, 53, 30, 62)(22, 54, 31, 63)(23, 55, 32, 64)(65, 66, 71, 70, 74, 67, 72, 69)(68, 76, 82, 79, 88, 77, 83, 78)(73, 84, 81, 87, 75, 85, 80, 86)(89, 93, 92, 96, 90, 94, 91, 95)(97, 99, 103, 101, 106, 98, 104, 102)(100, 109, 114, 110, 120, 108, 115, 111)(105, 117, 113, 118, 107, 116, 112, 119)(121, 126, 124, 127, 122, 125, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.449
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.444 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3 * Y1 * Y3^-2 * Y2^-1 * Y3, Y3^-2 * Y1^4, Y3 * Y1^-1 * Y3^-2 * Y2 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y2^2 * Y3^-2 * Y1^2, Y3^-2 * Y2^-1 * Y1^-3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 3, 35, 10, 42, 5, 37)(2, 34, 7, 39, 21, 53, 8, 40)(4, 36, 12, 44, 17, 49, 14, 46)(6, 38, 18, 50, 13, 45, 19, 51)(9, 41, 25, 57, 15, 47, 26, 58)(11, 43, 27, 59, 16, 48, 28, 60)(20, 52, 29, 61, 23, 55, 30, 62)(22, 54, 31, 63, 24, 56, 32, 64)(65, 66, 70, 81, 74, 85, 77, 68)(67, 73, 82, 80, 69, 79, 83, 75)(71, 84, 78, 88, 72, 87, 76, 86)(89, 93, 92, 96, 90, 94, 91, 95)(97, 98, 102, 113, 106, 117, 109, 100)(99, 105, 114, 112, 101, 111, 115, 107)(103, 116, 110, 120, 104, 119, 108, 118)(121, 125, 124, 128, 122, 126, 123, 127)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.446
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.445 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y1^-1, (Y2 * Y1^-1)^2, Y2^-3 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3, R * Y1 * R * Y2, Y2^2 * Y1^-2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 11, 43, 7, 39)(2, 34, 10, 42, 3, 35, 12, 44)(5, 37, 17, 49, 6, 38, 18, 50)(8, 40, 19, 51, 9, 41, 20, 52)(13, 45, 25, 57, 14, 46, 26, 58)(15, 47, 27, 59, 16, 48, 28, 60)(21, 53, 29, 61, 22, 54, 30, 62)(23, 55, 31, 63, 24, 56, 32, 64)(65, 66, 72, 70, 75, 67, 73, 69)(68, 77, 83, 80, 71, 78, 84, 79)(74, 85, 82, 88, 76, 86, 81, 87)(89, 93, 92, 96, 90, 94, 91, 95)(97, 99, 104, 101, 107, 98, 105, 102)(100, 110, 115, 111, 103, 109, 116, 112)(106, 118, 114, 119, 108, 117, 113, 120)(121, 126, 124, 127, 122, 125, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.447
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.446 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y1^-1 * Y3 * Y1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, (Y1^-3 * Y2^-1)^2, Y2^8, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99)(2, 34, 66, 98, 6, 38, 70, 102)(4, 36, 68, 100, 9, 41, 73, 105)(5, 37, 69, 101, 12, 44, 76, 108)(7, 39, 71, 103, 15, 47, 79, 111)(8, 40, 72, 104, 16, 48, 80, 112)(10, 42, 74, 106, 17, 49, 81, 113)(11, 43, 75, 107, 21, 53, 85, 117)(13, 45, 77, 109, 23, 55, 87, 119)(14, 46, 78, 110, 24, 56, 88, 120)(18, 50, 82, 114, 25, 57, 89, 121)(19, 51, 83, 115, 27, 59, 91, 123)(20, 52, 84, 116, 28, 60, 92, 124)(22, 54, 86, 118, 30, 62, 94, 126)(26, 58, 90, 122, 31, 63, 95, 127)(29, 61, 93, 125, 32, 64, 96, 128)
	L = (1, 34)(2, 37)(3, 39)(4, 33)(5, 43)(6, 45)(7, 44)(8, 35)(9, 46)(10, 36)(11, 52)(12, 54)(13, 53)(14, 38)(15, 55)(16, 56)(17, 40)(18, 41)(19, 42)(20, 51)(21, 61)(22, 60)(23, 62)(24, 47)(25, 48)(26, 49)(27, 50)(28, 58)(29, 59)(30, 64)(31, 57)(32, 63)(65, 98)(66, 101)(67, 103)(68, 97)(69, 107)(70, 109)(71, 108)(72, 99)(73, 110)(74, 100)(75, 116)(76, 118)(77, 117)(78, 102)(79, 119)(80, 120)(81, 104)(82, 105)(83, 106)(84, 115)(85, 125)(86, 124)(87, 126)(88, 111)(89, 112)(90, 113)(91, 114)(92, 122)(93, 123)(94, 128)(95, 121)(96, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.444
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.447 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^-2, Y1^-2 * Y2^-1 * Y1^-1, (Y2^-1, Y1^-1), (Y2 * Y1^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2^-1 * Y3 * Y1)^2, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 11, 43, 75, 107)(5, 37, 69, 101, 16, 48, 80, 112)(6, 38, 70, 102, 17, 49, 81, 113)(7, 39, 71, 103, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115)(10, 42, 74, 106, 24, 56, 88, 120)(12, 44, 76, 108, 25, 57, 89, 121)(13, 45, 77, 109, 26, 58, 90, 122)(14, 46, 78, 110, 27, 59, 91, 123)(15, 47, 79, 111, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127)(23, 55, 87, 119, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 40)(4, 44)(5, 33)(6, 42)(7, 38)(8, 37)(9, 52)(10, 35)(11, 53)(12, 50)(13, 51)(14, 36)(15, 56)(16, 54)(17, 55)(18, 47)(19, 46)(20, 49)(21, 48)(22, 41)(23, 43)(24, 45)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 104)(67, 103)(68, 109)(69, 106)(70, 97)(71, 101)(72, 102)(73, 117)(74, 98)(75, 116)(76, 115)(77, 114)(78, 120)(79, 100)(80, 119)(81, 118)(82, 110)(83, 111)(84, 112)(85, 113)(86, 107)(87, 105)(88, 108)(89, 126)(90, 125)(91, 128)(92, 127)(93, 123)(94, 124)(95, 122)(96, 121)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.445
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.448 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y3 * Y1 * Y3^-2 * Y2^-1 * Y3, Y3^-2 * Y1^4, Y3 * Y1^-1 * Y3^-2 * Y2 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y3^2 * Y1^-1, Y2^2 * Y3^-2 * Y1^2, Y3^-2 * Y2^-1 * Y1^-3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y2^-1, Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 3, 35, 67, 99, 10, 42, 74, 106, 5, 37, 69, 101)(2, 34, 66, 98, 7, 39, 71, 103, 21, 53, 85, 117, 8, 40, 72, 104)(4, 36, 68, 100, 12, 44, 76, 108, 17, 49, 81, 113, 14, 46, 78, 110)(6, 38, 70, 102, 18, 50, 82, 114, 13, 45, 77, 109, 19, 51, 83, 115)(9, 41, 73, 105, 25, 57, 89, 121, 15, 47, 79, 111, 26, 58, 90, 122)(11, 43, 75, 107, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(20, 52, 84, 116, 29, 61, 93, 125, 23, 55, 87, 119, 30, 62, 94, 126)(22, 54, 86, 118, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 38)(3, 41)(4, 33)(5, 47)(6, 49)(7, 52)(8, 55)(9, 50)(10, 53)(11, 35)(12, 54)(13, 36)(14, 56)(15, 51)(16, 37)(17, 42)(18, 48)(19, 43)(20, 46)(21, 45)(22, 39)(23, 44)(24, 40)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 57)(32, 58)(65, 98)(66, 102)(67, 105)(68, 97)(69, 111)(70, 113)(71, 116)(72, 119)(73, 114)(74, 117)(75, 99)(76, 118)(77, 100)(78, 120)(79, 115)(80, 101)(81, 106)(82, 112)(83, 107)(84, 110)(85, 109)(86, 103)(87, 108)(88, 104)(89, 125)(90, 126)(91, 127)(92, 128)(93, 124)(94, 123)(95, 121)(96, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.442
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.449 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x QD16) : C2 (small group id <64, 131>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-2 * Y1^-1, (Y2 * Y1^-1)^2, Y2^-3 * Y1^-1, Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y1 * Y2^-1 * Y3, R * Y1 * R * Y2, Y2^2 * Y1^-2, (R * Y3)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 11, 43, 75, 107, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 17, 49, 81, 113, 6, 38, 70, 102, 18, 50, 82, 114)(8, 40, 72, 104, 19, 51, 83, 115, 9, 41, 73, 105, 20, 52, 84, 116)(13, 45, 77, 109, 25, 57, 89, 121, 14, 46, 78, 110, 26, 58, 90, 122)(15, 47, 79, 111, 27, 59, 91, 123, 16, 48, 80, 112, 28, 60, 92, 124)(21, 53, 85, 117, 29, 61, 93, 125, 22, 54, 86, 118, 30, 62, 94, 126)(23, 55, 87, 119, 31, 63, 95, 127, 24, 56, 88, 120, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 41)(4, 45)(5, 33)(6, 43)(7, 46)(8, 38)(9, 37)(10, 53)(11, 35)(12, 54)(13, 51)(14, 52)(15, 36)(16, 39)(17, 55)(18, 56)(19, 48)(20, 47)(21, 50)(22, 49)(23, 42)(24, 44)(25, 61)(26, 62)(27, 63)(28, 64)(29, 60)(30, 59)(31, 57)(32, 58)(65, 99)(66, 105)(67, 104)(68, 110)(69, 107)(70, 97)(71, 109)(72, 101)(73, 102)(74, 118)(75, 98)(76, 117)(77, 116)(78, 115)(79, 103)(80, 100)(81, 120)(82, 119)(83, 111)(84, 112)(85, 113)(86, 114)(87, 108)(88, 106)(89, 126)(90, 125)(91, 128)(92, 127)(93, 123)(94, 124)(95, 122)(96, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.443
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^2, Y2^4, Y1 * Y2 * Y1 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 13, 45)(5, 37, 9, 41)(6, 38, 15, 47)(8, 40, 18, 50)(10, 42, 20, 52)(11, 43, 16, 48)(12, 44, 21, 53)(14, 46, 23, 55)(17, 49, 26, 58)(19, 51, 28, 60)(22, 54, 27, 59)(24, 56, 29, 61)(25, 57, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 70, 102, 76, 108, 78, 110)(72, 104, 74, 106, 81, 113, 83, 115)(77, 109, 79, 111, 85, 117, 87, 119)(82, 114, 84, 116, 90, 122, 92, 124)(86, 118, 88, 120, 89, 121, 95, 127)(91, 123, 93, 125, 94, 126, 96, 128)
	L = (1, 68)(2, 72)(3, 70)(4, 69)(5, 78)(6, 65)(7, 74)(8, 73)(9, 83)(10, 66)(11, 76)(12, 67)(13, 86)(14, 75)(15, 88)(16, 81)(17, 71)(18, 91)(19, 80)(20, 93)(21, 89)(22, 87)(23, 95)(24, 77)(25, 79)(26, 94)(27, 92)(28, 96)(29, 82)(30, 84)(31, 85)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.475
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2, Y1 * Y2^-1 * Y1 * Y2, Y2^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 7, 39)(4, 36, 13, 45)(5, 37, 9, 41)(6, 38, 15, 47)(8, 40, 18, 50)(10, 42, 20, 52)(11, 43, 16, 48)(12, 44, 21, 53)(14, 46, 24, 56)(17, 49, 26, 58)(19, 51, 29, 61)(22, 54, 27, 59)(23, 55, 28, 60)(25, 57, 30, 62)(31, 63, 32, 64)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 76, 108, 78, 110, 70, 102)(72, 104, 81, 113, 83, 115, 74, 106)(77, 109, 85, 117, 88, 120, 79, 111)(82, 114, 90, 122, 93, 125, 84, 116)(86, 118, 95, 127, 89, 121, 87, 119)(91, 123, 96, 128, 94, 126, 92, 124)
	L = (1, 68)(2, 72)(3, 76)(4, 67)(5, 70)(6, 65)(7, 81)(8, 71)(9, 74)(10, 66)(11, 78)(12, 75)(13, 86)(14, 69)(15, 87)(16, 83)(17, 80)(18, 91)(19, 73)(20, 92)(21, 95)(22, 85)(23, 77)(24, 89)(25, 79)(26, 96)(27, 90)(28, 82)(29, 94)(30, 84)(31, 88)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.474
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.452 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y3^2 * Y1^2, Y1^4, (R * Y2)^2, Y3^4, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y3^-1, (Y1, Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 16, 48, 14, 46)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 19, 51, 15, 47, 20, 52)(9, 41, 21, 53, 17, 49, 22, 54)(11, 43, 23, 55, 18, 50, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 71, 103, 79, 111, 72, 104, 80, 112, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 82, 114, 69, 101, 81, 113, 74, 106, 75, 107)(77, 109, 89, 121, 84, 116, 92, 124, 78, 110, 91, 123, 83, 115, 90, 122)(85, 117, 93, 125, 88, 120, 96, 128, 86, 118, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 74)(3, 70)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 75)(10, 69)(11, 81)(12, 66)(13, 83)(14, 84)(15, 67)(16, 79)(17, 82)(18, 73)(19, 78)(20, 77)(21, 87)(22, 88)(23, 86)(24, 85)(25, 90)(26, 91)(27, 92)(28, 89)(29, 94)(30, 95)(31, 96)(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, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.467
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.453 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^2 * Y3^2, (R * Y1)^2, Y3^4, (R * Y2)^2, (R * Y3)^2, Y1^4, (Y1^-1, Y3), Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, (Y1, Y2)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 14, 46, 19, 51)(9, 41, 21, 53, 16, 48, 22, 54)(11, 43, 23, 55, 17, 49, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 68, 100, 78, 110, 72, 104, 84, 116, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 81, 113, 69, 101, 80, 112, 76, 108, 75, 107)(77, 109, 89, 121, 83, 115, 92, 124, 79, 111, 91, 123, 82, 114, 90, 122)(85, 117, 93, 125, 88, 120, 96, 128, 86, 118, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 67)(7, 65)(8, 71)(9, 81)(10, 69)(11, 73)(12, 66)(13, 83)(14, 84)(15, 82)(16, 75)(17, 80)(18, 77)(19, 79)(20, 70)(21, 88)(22, 87)(23, 85)(24, 86)(25, 92)(26, 89)(27, 90)(28, 91)(29, 96)(30, 93)(31, 94)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.466
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3 * Y1^-2 * Y3, (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2), (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y3^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y3^-1 * Y2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y1 * Y2^2 * Y1^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 21, 53, 26, 58, 22, 54)(9, 41, 18, 50, 19, 51, 24, 56)(11, 43, 17, 49, 20, 52, 15, 47)(14, 46, 27, 59, 23, 55, 28, 60)(29, 61, 31, 63, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 90, 122, 72, 104, 89, 121, 87, 119, 70, 102)(66, 98, 73, 105, 91, 123, 84, 116, 69, 101, 83, 115, 92, 124, 75, 107)(68, 100, 79, 111, 94, 126, 88, 120, 71, 103, 81, 113, 95, 127, 82, 114)(74, 106, 85, 117, 93, 125, 77, 109, 76, 108, 86, 118, 96, 128, 80, 112)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 85)(10, 69)(11, 80)(12, 66)(13, 75)(14, 94)(15, 89)(16, 84)(17, 67)(18, 90)(19, 86)(20, 77)(21, 83)(22, 73)(23, 95)(24, 70)(25, 81)(26, 88)(27, 93)(28, 96)(29, 92)(30, 87)(31, 78)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.469
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^4, (R * Y2)^2, (R * Y3)^2, (Y3, Y2), Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y3^3 * Y2^2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 25, 57, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 21, 53, 26, 58, 22, 54)(9, 41, 24, 56, 19, 51, 18, 50)(11, 43, 15, 47, 20, 52, 17, 49)(14, 46, 27, 59, 23, 55, 28, 60)(29, 61, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 78, 110, 90, 122, 72, 104, 89, 121, 87, 119, 70, 102)(66, 98, 73, 105, 91, 123, 84, 116, 69, 101, 83, 115, 92, 124, 75, 107)(68, 100, 79, 111, 94, 126, 88, 120, 71, 103, 81, 113, 95, 127, 82, 114)(74, 106, 86, 118, 96, 128, 80, 112, 76, 108, 85, 117, 93, 125, 77, 109)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 86)(10, 69)(11, 77)(12, 66)(13, 84)(14, 94)(15, 89)(16, 75)(17, 67)(18, 90)(19, 85)(20, 80)(21, 73)(22, 83)(23, 95)(24, 70)(25, 81)(26, 88)(27, 96)(28, 93)(29, 91)(30, 87)(31, 78)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.468
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.456 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y1 * Y2, Y3^-2 * Y1^-2, Y1^4, Y3^4, Y1^-2 * Y3^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 6, 38, 10, 42, 13, 45)(4, 36, 9, 41, 7, 39, 11, 43)(12, 44, 17, 49, 14, 46, 18, 50)(15, 47, 16, 48, 19, 51, 20, 52)(21, 53, 22, 54, 23, 55, 24, 56)(25, 57, 27, 59, 26, 58, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 69, 101, 77, 109, 72, 104, 74, 106, 66, 98, 70, 102)(68, 100, 79, 111, 75, 107, 84, 116, 71, 103, 83, 115, 73, 105, 80, 112)(76, 108, 85, 117, 82, 114, 88, 120, 78, 110, 87, 119, 81, 113, 86, 118)(89, 121, 93, 125, 92, 124, 96, 128, 90, 122, 94, 126, 91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 72)(5, 75)(6, 81)(7, 65)(8, 71)(9, 69)(10, 78)(11, 66)(12, 74)(13, 82)(14, 67)(15, 89)(16, 91)(17, 77)(18, 70)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 83)(26, 79)(27, 84)(28, 80)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.472
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.457 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y2^2, (Y3^-1 * Y1)^2, Y3 * Y1^-2 * Y3, Y3^2 * Y1^2, (Y1^-1 * Y3^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 16, 48, 6, 38)(4, 36, 10, 42, 7, 39, 11, 43)(12, 44, 18, 50, 13, 45, 17, 49)(14, 46, 20, 52, 19, 51, 15, 47)(21, 53, 24, 56, 23, 55, 22, 54)(25, 57, 28, 60, 26, 58, 27, 59)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 66, 98, 73, 105, 72, 104, 80, 112, 69, 101, 70, 102)(68, 100, 78, 110, 74, 106, 84, 116, 71, 103, 83, 115, 75, 107, 79, 111)(76, 108, 85, 117, 82, 114, 88, 120, 77, 109, 87, 119, 81, 113, 86, 118)(89, 121, 93, 125, 92, 124, 96, 128, 90, 122, 94, 126, 91, 123, 95, 127)
	L = (1, 68)(2, 74)(3, 76)(4, 72)(5, 75)(6, 81)(7, 65)(8, 71)(9, 82)(10, 69)(11, 66)(12, 80)(13, 67)(14, 89)(15, 91)(16, 77)(17, 73)(18, 70)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 83)(26, 78)(27, 84)(28, 79)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.473
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (R * Y3)^2, (Y3^-1, Y1^-1), (Y2^-1, Y1), Y1^4, (R * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2^4 * Y1^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 25, 57, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 26, 58, 19, 51)(13, 45, 27, 59, 21, 53, 28, 60)(14, 46, 18, 50, 16, 48, 24, 56)(17, 49, 20, 52, 23, 55, 22, 54)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 90, 122, 72, 104, 89, 121, 85, 117, 70, 102)(66, 98, 73, 105, 91, 123, 83, 115, 69, 101, 79, 111, 92, 124, 75, 107)(68, 100, 81, 113, 93, 125, 88, 120, 71, 103, 87, 119, 94, 126, 82, 114)(74, 106, 84, 116, 95, 127, 78, 110, 76, 108, 86, 118, 96, 128, 80, 112)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 84)(7, 65)(8, 71)(9, 82)(10, 69)(11, 87)(12, 66)(13, 93)(14, 89)(15, 88)(16, 67)(17, 75)(18, 79)(19, 81)(20, 90)(21, 94)(22, 70)(23, 83)(24, 73)(25, 80)(26, 86)(27, 95)(28, 96)(29, 85)(30, 77)(31, 92)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.470
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (Y2^-1, Y1), (Y3^-1, Y1^-1), Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, R * Y2 * R * Y1 * Y2^-1, Y2^4 * Y1^2, Y3 * Y2^2 * Y3^-1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 25, 57, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 26, 58, 19, 51)(13, 45, 27, 59, 21, 53, 28, 60)(14, 46, 24, 56, 16, 48, 18, 50)(17, 49, 22, 54, 23, 55, 20, 52)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 90, 122, 72, 104, 89, 121, 85, 117, 70, 102)(66, 98, 73, 105, 91, 123, 83, 115, 69, 101, 79, 111, 92, 124, 75, 107)(68, 100, 81, 113, 93, 125, 88, 120, 71, 103, 87, 119, 94, 126, 82, 114)(74, 106, 86, 118, 96, 128, 80, 112, 76, 108, 84, 116, 95, 127, 78, 110)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 84)(7, 65)(8, 71)(9, 88)(10, 69)(11, 81)(12, 66)(13, 93)(14, 89)(15, 82)(16, 67)(17, 83)(18, 73)(19, 87)(20, 90)(21, 94)(22, 70)(23, 75)(24, 79)(25, 80)(26, 86)(27, 96)(28, 95)(29, 85)(30, 77)(31, 91)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.471
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.460 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3, Y1^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^4 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2^2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y1^-1, Y2^-1, Y1^-1), (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 16, 48, 24, 56)(25, 57, 29, 61, 27, 59, 31, 63)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 79, 111, 92, 124, 75, 107, 91, 123, 78, 110, 90, 122)(83, 115, 93, 125, 87, 119, 96, 128, 85, 117, 95, 127, 86, 118, 94, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 80)(21, 71)(22, 77)(23, 72)(24, 74)(25, 93)(26, 94)(27, 95)(28, 96)(29, 91)(30, 92)(31, 89)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.463
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.461 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^-2, (Y3 * Y1)^2, Y3 * Y1^-2 * Y3, (Y3^-1 * Y1)^2, Y2^-1 * Y3 * Y2 * Y1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y2^-1 * Y1, Y1 * Y2^4 * Y1, (Y2^-1 * Y1^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 19, 51, 22, 54, 17, 49)(9, 41, 23, 55, 15, 47, 25, 57)(11, 43, 27, 59, 18, 50, 26, 58)(14, 46, 24, 56, 20, 52, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 82, 114, 69, 101, 79, 111, 92, 124, 75, 107)(68, 100, 80, 112, 94, 126, 83, 115, 71, 103, 77, 109, 93, 125, 81, 113)(74, 106, 89, 121, 96, 128, 91, 123, 76, 108, 87, 119, 95, 127, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 67)(10, 69)(11, 70)(12, 66)(13, 89)(14, 94)(15, 85)(16, 87)(17, 91)(18, 86)(19, 90)(20, 93)(21, 73)(22, 75)(23, 77)(24, 96)(25, 80)(26, 81)(27, 83)(28, 95)(29, 78)(30, 84)(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, 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 E17.464
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, (Y3^-1, Y1^-1), Y1 * Y2^-1 * Y3^-1 * Y2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-2 * Y2, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 17, 49, 22, 54, 19, 51)(9, 41, 23, 55, 16, 48, 25, 57)(11, 43, 26, 58, 18, 50, 27, 59)(14, 46, 24, 56, 20, 52, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 82, 114, 69, 101, 80, 112, 92, 124, 75, 107)(68, 100, 77, 109, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 81, 113)(74, 106, 87, 119, 95, 127, 91, 123, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 73)(4, 72)(5, 76)(6, 75)(7, 65)(8, 71)(9, 85)(10, 69)(11, 86)(12, 66)(13, 87)(14, 93)(15, 89)(16, 67)(17, 90)(18, 70)(19, 91)(20, 94)(21, 80)(22, 82)(23, 79)(24, 95)(25, 77)(26, 83)(27, 81)(28, 96)(29, 84)(30, 78)(31, 92)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.465
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, (Y3 * R)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, (R * Y2)^2, Y1^-4 * Y2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 11, 43, 3, 35, 8, 40, 15, 47, 5, 37)(4, 36, 12, 44, 19, 51, 18, 50, 6, 38, 17, 49, 20, 52, 13, 45)(9, 41, 21, 53, 16, 48, 24, 56, 10, 42, 23, 55, 14, 46, 22, 54)(25, 57, 29, 61, 28, 60, 32, 64, 26, 58, 30, 62, 27, 59, 31, 63)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 79, 111)(73, 105, 74, 106)(76, 108, 81, 113)(77, 109, 82, 114)(78, 110, 80, 112)(83, 115, 84, 116)(85, 117, 87, 119)(86, 118, 88, 120)(89, 121, 90, 122)(91, 123, 92, 124)(93, 125, 94, 126)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 78)(6, 65)(7, 83)(8, 74)(9, 72)(10, 66)(11, 80)(12, 89)(13, 91)(14, 75)(15, 84)(16, 69)(17, 90)(18, 92)(19, 79)(20, 71)(21, 93)(22, 95)(23, 94)(24, 96)(25, 81)(26, 76)(27, 82)(28, 77)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.460
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.464 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y1^-1 * Y2 * Y1 * Y2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y3, Y1^-2 * Y3^-2 * Y1^-2, (Y3 * Y1^-2)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 22, 54, 15, 47, 27, 59, 18, 50, 5, 37)(3, 35, 8, 40, 23, 55, 32, 64, 29, 61, 31, 63, 30, 62, 12, 44)(4, 36, 14, 46, 24, 56, 21, 53, 6, 38, 20, 52, 25, 57, 16, 48)(9, 41, 26, 58, 19, 51, 13, 45, 10, 42, 28, 60, 17, 49, 11, 43)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 87, 119)(73, 105, 78, 110)(74, 106, 84, 116)(79, 111, 93, 125)(80, 112, 81, 113)(82, 114, 94, 126)(83, 115, 85, 117)(86, 118, 96, 128)(88, 120, 90, 122)(89, 121, 92, 124)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 88)(8, 78)(9, 91)(10, 66)(11, 93)(12, 80)(13, 67)(14, 95)(15, 70)(16, 96)(17, 86)(18, 89)(19, 69)(20, 72)(21, 76)(22, 83)(23, 90)(24, 82)(25, 71)(26, 94)(27, 74)(28, 87)(29, 77)(30, 92)(31, 84)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.461
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.465 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-4, Y3^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^2 * Y1^-4, (Y1^2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 22, 54, 15, 47, 27, 59, 18, 50, 5, 37)(3, 35, 8, 40, 23, 55, 32, 64, 29, 61, 31, 63, 30, 62, 12, 44)(4, 36, 14, 46, 24, 56, 21, 53, 6, 38, 20, 52, 25, 57, 16, 48)(9, 41, 26, 58, 19, 51, 11, 43, 10, 42, 28, 60, 17, 49, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 87, 119)(73, 105, 84, 116)(74, 106, 78, 110)(79, 111, 93, 125)(80, 112, 83, 115)(81, 113, 85, 117)(82, 114, 94, 126)(86, 118, 96, 128)(88, 120, 92, 124)(89, 121, 90, 122)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 88)(8, 84)(9, 91)(10, 66)(11, 93)(12, 85)(13, 67)(14, 72)(15, 70)(16, 76)(17, 86)(18, 89)(19, 69)(20, 95)(21, 96)(22, 83)(23, 92)(24, 82)(25, 71)(26, 87)(27, 74)(28, 94)(29, 77)(30, 90)(31, 78)(32, 80)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.462
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.466 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2, Y2 * Y3 * Y2 * Y3^-1, (R * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 8, 40, 13, 45, 14, 46, 4, 36, 5, 37)(3, 35, 9, 41, 12, 44, 20, 52, 21, 53, 22, 54, 10, 42, 11, 43)(7, 39, 16, 48, 18, 50, 27, 59, 24, 56, 25, 57, 15, 47, 17, 49)(19, 51, 26, 58, 29, 61, 32, 64, 30, 62, 31, 63, 23, 55, 28, 60)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 79, 111)(70, 102, 76, 108)(72, 104, 82, 114)(73, 105, 83, 115)(75, 107, 87, 119)(77, 109, 85, 117)(78, 110, 88, 120)(80, 112, 90, 122)(81, 113, 92, 124)(84, 116, 93, 125)(86, 118, 94, 126)(89, 121, 95, 127)(91, 123, 96, 128)
	L = (1, 68)(2, 69)(3, 74)(4, 77)(5, 78)(6, 65)(7, 79)(8, 66)(9, 75)(10, 85)(11, 86)(12, 67)(13, 70)(14, 72)(15, 88)(16, 81)(17, 89)(18, 71)(19, 87)(20, 73)(21, 76)(22, 84)(23, 94)(24, 82)(25, 91)(26, 92)(27, 80)(28, 95)(29, 83)(30, 93)(31, 96)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.453
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.467 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3, Y3^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 8, 40, 13, 45, 15, 47, 6, 38, 5, 37)(3, 35, 9, 41, 10, 42, 20, 52, 21, 53, 23, 55, 12, 44, 11, 43)(7, 39, 16, 48, 17, 49, 27, 59, 25, 57, 24, 56, 14, 46, 18, 50)(19, 51, 26, 58, 29, 61, 32, 64, 31, 63, 30, 62, 22, 54, 28, 60)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 76, 108)(72, 104, 81, 113)(73, 105, 83, 115)(75, 107, 86, 118)(77, 109, 85, 117)(79, 111, 89, 121)(80, 112, 90, 122)(82, 114, 92, 124)(84, 116, 93, 125)(87, 119, 95, 127)(88, 120, 94, 126)(91, 123, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 77)(5, 66)(6, 65)(7, 81)(8, 79)(9, 84)(10, 85)(11, 73)(12, 67)(13, 70)(14, 71)(15, 69)(16, 91)(17, 89)(18, 80)(19, 93)(20, 87)(21, 76)(22, 83)(23, 75)(24, 82)(25, 78)(26, 96)(27, 88)(28, 90)(29, 95)(30, 92)(31, 86)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.452
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.468 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y1, Y3^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3 * Y2 * Y1 * Y2, Y1^4 * Y3^2, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 26, 58, 18, 50, 5, 37)(3, 35, 11, 43, 21, 53, 25, 57, 28, 60, 31, 63, 30, 62, 13, 45)(4, 36, 9, 41, 22, 54, 19, 51, 6, 38, 10, 42, 23, 55, 16, 48)(8, 40, 14, 46, 27, 59, 32, 64, 29, 61, 12, 44, 17, 49, 24, 56)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 77, 109)(74, 106, 89, 121)(75, 107, 83, 115)(79, 111, 92, 124)(80, 112, 95, 127)(82, 114, 94, 126)(84, 116, 91, 123)(86, 118, 88, 120)(87, 119, 96, 128)(90, 122, 93, 125)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 86)(8, 77)(9, 90)(10, 66)(11, 81)(12, 92)(13, 93)(14, 67)(15, 70)(16, 84)(17, 95)(18, 87)(19, 69)(20, 83)(21, 88)(22, 82)(23, 71)(24, 94)(25, 72)(26, 74)(27, 75)(28, 78)(29, 89)(30, 96)(31, 91)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.455
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.469 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y3, Y1), (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, Y3^4, (R * Y2)^2, Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-2 * Y1^-4, Y2 * Y1^2 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 26, 58, 18, 50, 5, 37)(3, 35, 11, 43, 21, 53, 24, 56, 28, 60, 31, 63, 29, 61, 13, 45)(4, 36, 9, 41, 22, 54, 19, 51, 6, 38, 10, 42, 23, 55, 16, 48)(8, 40, 12, 44, 27, 59, 32, 64, 30, 62, 14, 46, 17, 49, 25, 57)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 88, 120)(74, 106, 77, 109)(75, 107, 80, 112)(79, 111, 92, 124)(82, 114, 93, 125)(83, 115, 95, 127)(84, 116, 91, 123)(86, 118, 96, 128)(87, 119, 89, 121)(90, 122, 94, 126)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 86)(8, 88)(9, 90)(10, 66)(11, 91)(12, 92)(13, 72)(14, 67)(15, 70)(16, 84)(17, 75)(18, 87)(19, 69)(20, 83)(21, 96)(22, 82)(23, 71)(24, 94)(25, 85)(26, 74)(27, 95)(28, 78)(29, 89)(30, 77)(31, 81)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.454
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-1 * Y2 * Y3, Y1^-2 * Y3^-1 * Y2, Y1^-1 * Y2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^4, Y1^4 * Y3^-2, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y3^-2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 14, 46, 22, 54, 12, 44, 5, 37)(3, 35, 11, 43, 6, 38, 17, 49, 19, 51, 15, 47, 4, 36, 13, 45)(8, 40, 20, 52, 10, 42, 24, 56, 16, 48, 23, 55, 9, 41, 21, 53)(25, 57, 29, 61, 27, 59, 31, 63, 28, 60, 32, 64, 26, 58, 30, 62)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 73, 105)(70, 102, 71, 103)(74, 106, 82, 114)(75, 107, 89, 121)(77, 109, 90, 122)(78, 110, 83, 115)(79, 111, 92, 124)(80, 112, 86, 118)(81, 113, 91, 123)(84, 116, 93, 125)(85, 117, 94, 126)(87, 119, 96, 128)(88, 120, 95, 127)
	L = (1, 68)(2, 73)(3, 76)(4, 78)(5, 80)(6, 65)(7, 67)(8, 69)(9, 86)(10, 66)(11, 90)(12, 83)(13, 92)(14, 70)(15, 91)(16, 82)(17, 89)(18, 72)(19, 71)(20, 94)(21, 96)(22, 74)(23, 95)(24, 93)(25, 77)(26, 79)(27, 75)(28, 81)(29, 85)(30, 87)(31, 84)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.458
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y3^-1, Y1^-1 * Y2 * Y3 * Y1^-1, Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 15, 47, 23, 55, 13, 45, 5, 37)(3, 35, 11, 43, 4, 36, 14, 46, 19, 51, 17, 49, 6, 38, 12, 44)(8, 40, 20, 52, 9, 41, 22, 54, 16, 48, 24, 56, 10, 42, 21, 53)(25, 57, 29, 61, 26, 58, 30, 62, 28, 60, 32, 64, 27, 59, 31, 63)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 71, 103)(69, 101, 74, 106)(70, 102, 77, 109)(73, 105, 82, 114)(75, 107, 89, 121)(76, 108, 91, 123)(78, 110, 90, 122)(79, 111, 83, 115)(80, 112, 87, 119)(81, 113, 92, 124)(84, 116, 93, 125)(85, 117, 95, 127)(86, 118, 94, 126)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 71)(4, 79)(5, 72)(6, 65)(7, 83)(8, 82)(9, 87)(10, 66)(11, 90)(12, 89)(13, 67)(14, 92)(15, 70)(16, 69)(17, 91)(18, 80)(19, 77)(20, 94)(21, 93)(22, 96)(23, 74)(24, 95)(25, 78)(26, 81)(27, 75)(28, 76)(29, 86)(30, 88)(31, 84)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.459
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y1 * Y3 * Y1, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^2)^2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-2, Y3^-2 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 26, 58, 18, 50, 5, 37)(3, 35, 11, 43, 21, 53, 10, 42, 28, 60, 17, 49, 27, 59, 9, 41)(4, 36, 14, 46, 22, 54, 8, 40, 6, 38, 19, 51, 23, 55, 16, 48)(12, 44, 24, 56, 31, 63, 29, 61, 13, 45, 25, 57, 32, 64, 30, 62)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 78, 110)(70, 102, 77, 109)(71, 103, 85, 117)(73, 105, 88, 120)(74, 106, 89, 121)(75, 107, 93, 125)(79, 111, 92, 124)(80, 112, 90, 122)(81, 113, 94, 126)(82, 114, 91, 123)(83, 115, 84, 116)(86, 118, 95, 127)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 81)(6, 65)(7, 86)(8, 88)(9, 90)(10, 66)(11, 69)(12, 92)(13, 67)(14, 94)(15, 70)(16, 89)(17, 84)(18, 87)(19, 93)(20, 75)(21, 95)(22, 82)(23, 71)(24, 80)(25, 72)(26, 74)(27, 96)(28, 77)(29, 78)(30, 83)(31, 91)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.456
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y3 * Y2 * Y3^-1, Y1^-1 * Y3 * Y1 * Y2 * Y1^-2, Y3 * Y1^4 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 27, 59, 17, 49, 5, 37)(3, 35, 11, 43, 21, 53, 9, 41, 26, 58, 18, 50, 28, 60, 10, 42)(4, 36, 14, 46, 22, 54, 19, 51, 6, 38, 16, 48, 23, 55, 8, 40)(12, 44, 24, 56, 31, 63, 30, 62, 13, 45, 25, 57, 32, 64, 29, 61)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 80, 112)(70, 102, 77, 109)(71, 103, 85, 117)(73, 105, 88, 120)(74, 106, 89, 121)(75, 107, 93, 125)(78, 110, 84, 116)(79, 111, 90, 122)(81, 113, 92, 124)(82, 114, 94, 126)(83, 115, 91, 123)(86, 118, 95, 127)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 75)(6, 65)(7, 86)(8, 88)(9, 91)(10, 66)(11, 84)(12, 90)(13, 67)(14, 94)(15, 70)(16, 93)(17, 87)(18, 69)(19, 89)(20, 82)(21, 95)(22, 81)(23, 71)(24, 83)(25, 72)(26, 77)(27, 74)(28, 96)(29, 78)(30, 80)(31, 92)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.457
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1, (Y2 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y1 * Y2 * Y1^2 * Y2 * Y1 * Y2^2, Y1^8, (Y3^-1 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 24, 56, 12, 44, 4, 36)(3, 35, 9, 41, 17, 49, 30, 62, 26, 58, 13, 45, 21, 53, 8, 40)(5, 37, 11, 43, 18, 50, 7, 39, 19, 51, 29, 61, 25, 57, 14, 46)(10, 42, 20, 52, 31, 63, 27, 59, 15, 47, 22, 54, 32, 64, 23, 55)(65, 97, 67, 99, 74, 106, 83, 115, 92, 124, 90, 122, 79, 111, 69, 101)(66, 98, 71, 103, 84, 116, 94, 126, 88, 120, 78, 110, 86, 118, 72, 104)(68, 100, 75, 107, 87, 119, 73, 105, 80, 112, 93, 125, 91, 123, 77, 109)(70, 102, 81, 113, 95, 127, 89, 121, 76, 108, 85, 117, 96, 128, 82, 114)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 80)(7, 83)(8, 67)(9, 81)(10, 84)(11, 82)(12, 68)(13, 85)(14, 69)(15, 86)(16, 92)(17, 94)(18, 71)(19, 93)(20, 95)(21, 72)(22, 96)(23, 74)(24, 76)(25, 78)(26, 77)(27, 79)(28, 88)(29, 89)(30, 90)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.451
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 5>)
Aut   = (C2 x C2 x D8) : C2 (small group id <64, 128>)
|r| :: 2
Presentation :: [ R^2, Y1^-2 * Y3^2, (Y3^-1, Y1^-1), Y1^-1 * Y3^-1 * Y1^-2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, (Y2 * Y1^-1)^2, (Y1^-1 * Y3)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 7, 39, 12, 44, 4, 36, 10, 42, 5, 37)(3, 35, 13, 45, 21, 53, 16, 48, 27, 59, 15, 47, 26, 58, 11, 43)(6, 38, 18, 50, 22, 54, 9, 41, 23, 55, 19, 51, 25, 57, 17, 49)(14, 46, 24, 56, 31, 63, 30, 62, 20, 52, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 87, 119, 76, 108, 91, 123, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 80, 112, 68, 100, 81, 113, 92, 124, 75, 107)(69, 101, 82, 114, 93, 125, 77, 109, 71, 103, 83, 115, 94, 126, 79, 111)(72, 104, 85, 117, 95, 127, 89, 121, 74, 106, 90, 122, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 69)(9, 70)(10, 71)(11, 91)(12, 66)(13, 90)(14, 92)(15, 85)(16, 67)(17, 87)(18, 89)(19, 86)(20, 88)(21, 75)(22, 81)(23, 82)(24, 96)(25, 73)(26, 80)(27, 77)(28, 95)(29, 84)(30, 78)(31, 93)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.450
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.476 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
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 :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^2 * Y1^-2, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y1^3 * Y2 * Y1^-1 * Y2, (Y1^-1, Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 14, 46)(6, 38, 15, 47)(7, 39, 19, 51)(8, 40, 20, 52)(10, 42, 22, 54)(11, 43, 23, 55)(13, 45, 25, 57)(16, 48, 26, 58)(17, 49, 28, 60)(18, 50, 29, 61)(21, 53, 30, 62)(24, 56, 31, 63)(27, 59, 32, 64)(65, 66, 71, 81, 91, 88, 80, 69)(67, 75, 82, 74, 85, 72, 70, 77)(68, 78, 90, 95, 96, 92, 83, 73)(76, 89, 79, 84, 94, 86, 93, 87)(97, 99, 103, 114, 123, 117, 112, 102)(98, 104, 113, 109, 120, 107, 101, 106)(100, 111, 122, 126, 128, 125, 115, 108)(105, 118, 110, 119, 127, 121, 124, 116)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.488
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.477 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 15, 47)(6, 38, 14, 46)(7, 39, 19, 51)(8, 40, 20, 52)(10, 42, 22, 54)(11, 43, 23, 55)(13, 45, 25, 57)(16, 48, 26, 58)(17, 49, 28, 60)(18, 50, 29, 61)(21, 53, 30, 62)(24, 56, 31, 63)(27, 59, 32, 64)(65, 66, 71, 81, 91, 88, 80, 69)(67, 75, 82, 74, 85, 72, 70, 77)(68, 76, 83, 93, 96, 94, 90, 78)(73, 84, 92, 89, 95, 87, 79, 86)(97, 99, 103, 114, 123, 117, 112, 102)(98, 104, 113, 109, 120, 107, 101, 106)(100, 105, 115, 124, 128, 127, 122, 111)(108, 119, 125, 118, 126, 116, 110, 121)
	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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.489
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.478 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1)^2, Y1^2 * Y2^-2, (R * Y3)^2, R * Y2 * R * Y1, Y1^2 * Y3 * Y2^-1 * Y3 * Y2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 18, 50)(6, 38, 20, 52)(7, 39, 23, 55)(8, 40, 24, 56)(10, 42, 30, 62)(11, 43, 29, 61)(13, 45, 27, 59)(14, 46, 21, 53)(15, 47, 22, 54)(16, 48, 31, 63)(17, 49, 25, 57)(19, 51, 28, 60)(26, 58, 32, 64)(65, 66, 71, 85, 96, 95, 83, 69)(67, 75, 86, 74, 89, 72, 70, 77)(68, 78, 92, 73, 90, 82, 87, 80)(76, 94, 84, 93, 81, 91, 79, 88)(97, 99, 103, 118, 128, 121, 115, 102)(98, 104, 117, 109, 127, 107, 101, 106)(100, 111, 124, 108, 122, 116, 119, 113)(105, 123, 114, 120, 112, 126, 110, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.490
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.479 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, Y1^-2 * Y2^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^3, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-3, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 4, 36)(2, 34, 9, 41)(3, 35, 12, 44)(5, 37, 18, 50)(6, 38, 20, 52)(7, 39, 23, 55)(8, 40, 24, 56)(10, 42, 30, 62)(11, 43, 26, 58)(13, 45, 28, 60)(14, 46, 25, 57)(15, 47, 31, 63)(16, 48, 22, 54)(17, 49, 21, 53)(19, 51, 27, 59)(29, 61, 32, 64)(65, 66, 71, 85, 96, 95, 83, 69)(67, 75, 86, 74, 89, 72, 70, 77)(68, 78, 87, 84, 93, 76, 91, 80)(73, 90, 81, 94, 79, 88, 82, 92)(97, 99, 103, 118, 128, 121, 115, 102)(98, 104, 117, 109, 127, 107, 101, 106)(100, 111, 119, 114, 125, 105, 123, 113)(108, 120, 112, 124, 110, 122, 116, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.491
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.480 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
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 :: [ R^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, (Y3 * Y1 * Y2^-1)^2, Y3^-2 * Y1^-4, Y2^4 * Y3^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 19, 51, 7, 39)(2, 34, 10, 42, 31, 63, 12, 44)(3, 35, 14, 46, 28, 60, 16, 48)(5, 37, 20, 52, 23, 55, 17, 49)(6, 38, 22, 54, 24, 56, 18, 50)(8, 40, 25, 57, 21, 53, 26, 58)(9, 41, 27, 59, 13, 45, 29, 61)(11, 43, 32, 64, 15, 47, 30, 62)(65, 66, 72, 87, 83, 95, 85, 69)(67, 77, 88, 75, 92, 73, 70, 79)(68, 81, 90, 74, 71, 84, 89, 76)(78, 96, 86, 93, 80, 94, 82, 91)(97, 99, 104, 120, 115, 124, 117, 102)(98, 105, 119, 111, 127, 109, 101, 107)(100, 114, 122, 110, 103, 118, 121, 112)(106, 126, 116, 123, 108, 128, 113, 125)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.484
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.481 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1^-2 * Y2, (Y2^-1 * Y1^-1)^2, Y3^4, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1 * Y3^2, (Y1^2 * Y3)^2, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 30, 62, 12, 44)(3, 35, 14, 46, 28, 60, 16, 48)(5, 37, 19, 51, 23, 55, 21, 53)(6, 38, 18, 50, 24, 56, 22, 54)(8, 40, 25, 57, 20, 52, 26, 58)(9, 41, 27, 59, 13, 45, 29, 61)(11, 43, 31, 63, 15, 47, 32, 64)(65, 66, 72, 87, 81, 94, 84, 69)(67, 77, 88, 75, 92, 73, 70, 79)(68, 78, 89, 86, 71, 80, 90, 82)(74, 91, 85, 96, 76, 93, 83, 95)(97, 99, 104, 120, 113, 124, 116, 102)(98, 105, 119, 111, 126, 109, 101, 107)(100, 106, 121, 117, 103, 108, 122, 115)(110, 125, 118, 127, 112, 123, 114, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.485
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.482 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y2^-1 * Y1^2 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3, (Y2^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^4 * Y3^2, (Y3^-1 * Y1 * Y2^-1)^2, Y2^-2 * Y3^2 * Y1^-2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 19, 51, 7, 39)(2, 34, 10, 42, 31, 63, 12, 44)(3, 35, 14, 46, 28, 60, 16, 48)(5, 37, 17, 49, 23, 55, 21, 53)(6, 38, 18, 50, 24, 56, 22, 54)(8, 40, 25, 57, 20, 52, 26, 58)(9, 41, 27, 59, 13, 45, 29, 61)(11, 43, 30, 62, 15, 47, 32, 64)(65, 66, 72, 87, 83, 95, 84, 69)(67, 77, 88, 75, 92, 73, 70, 79)(68, 81, 90, 76, 71, 85, 89, 74)(78, 96, 82, 91, 80, 94, 86, 93)(97, 99, 104, 120, 115, 124, 116, 102)(98, 105, 119, 111, 127, 109, 101, 107)(100, 114, 122, 112, 103, 118, 121, 110)(106, 126, 113, 125, 108, 128, 117, 123)
	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 ) }
Outer automorphisms :: reflexible
Dual of E17.486
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.483 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 8, 8})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2 * Y1^-2 * Y2, Y3 * Y2 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, Y3^2 * Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 4, 36, 17, 49, 7, 39)(2, 34, 10, 42, 30, 62, 12, 44)(3, 35, 14, 46, 28, 60, 16, 48)(5, 37, 20, 52, 23, 55, 19, 51)(6, 38, 22, 54, 24, 56, 18, 50)(8, 40, 25, 57, 21, 53, 26, 58)(9, 41, 27, 59, 13, 45, 29, 61)(11, 43, 32, 64, 15, 47, 31, 63)(65, 66, 72, 87, 81, 94, 85, 69)(67, 77, 88, 75, 92, 73, 70, 79)(68, 80, 89, 86, 71, 78, 90, 82)(74, 93, 83, 96, 76, 91, 84, 95)(97, 99, 104, 120, 113, 124, 117, 102)(98, 105, 119, 111, 126, 109, 101, 107)(100, 108, 121, 116, 103, 106, 122, 115)(110, 123, 114, 127, 112, 125, 118, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.487
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.484 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
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 :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^2 * Y1^-2, (Y2^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y1^3 * Y2 * Y1^-1 * Y2, (Y1^-1, Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 14, 46, 78, 110)(6, 38, 70, 102, 15, 47, 79, 111)(7, 39, 71, 103, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116)(10, 42, 74, 106, 22, 54, 86, 118)(11, 43, 75, 107, 23, 55, 87, 119)(13, 45, 77, 109, 25, 57, 89, 121)(16, 48, 80, 112, 26, 58, 90, 122)(17, 49, 81, 113, 28, 60, 92, 124)(18, 50, 82, 114, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(24, 56, 88, 120, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 43)(4, 46)(5, 33)(6, 45)(7, 49)(8, 38)(9, 36)(10, 53)(11, 50)(12, 57)(13, 35)(14, 58)(15, 52)(16, 37)(17, 59)(18, 42)(19, 41)(20, 62)(21, 40)(22, 61)(23, 44)(24, 48)(25, 47)(26, 63)(27, 56)(28, 51)(29, 55)(30, 54)(31, 64)(32, 60)(65, 99)(66, 104)(67, 103)(68, 111)(69, 106)(70, 97)(71, 114)(72, 113)(73, 118)(74, 98)(75, 101)(76, 100)(77, 120)(78, 119)(79, 122)(80, 102)(81, 109)(82, 123)(83, 108)(84, 105)(85, 112)(86, 110)(87, 127)(88, 107)(89, 124)(90, 126)(91, 117)(92, 116)(93, 115)(94, 128)(95, 121)(96, 125)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.480
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.485 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^-2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2^8 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 15, 47, 79, 111)(6, 38, 70, 102, 14, 46, 78, 110)(7, 39, 71, 103, 19, 51, 83, 115)(8, 40, 72, 104, 20, 52, 84, 116)(10, 42, 74, 106, 22, 54, 86, 118)(11, 43, 75, 107, 23, 55, 87, 119)(13, 45, 77, 109, 25, 57, 89, 121)(16, 48, 80, 112, 26, 58, 90, 122)(17, 49, 81, 113, 28, 60, 92, 124)(18, 50, 82, 114, 29, 61, 93, 125)(21, 53, 85, 117, 30, 62, 94, 126)(24, 56, 88, 120, 31, 63, 95, 127)(27, 59, 91, 123, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 43)(4, 44)(5, 33)(6, 45)(7, 49)(8, 38)(9, 52)(10, 53)(11, 50)(12, 51)(13, 35)(14, 36)(15, 54)(16, 37)(17, 59)(18, 42)(19, 61)(20, 60)(21, 40)(22, 41)(23, 47)(24, 48)(25, 63)(26, 46)(27, 56)(28, 57)(29, 64)(30, 58)(31, 55)(32, 62)(65, 99)(66, 104)(67, 103)(68, 105)(69, 106)(70, 97)(71, 114)(72, 113)(73, 115)(74, 98)(75, 101)(76, 119)(77, 120)(78, 121)(79, 100)(80, 102)(81, 109)(82, 123)(83, 124)(84, 110)(85, 112)(86, 126)(87, 125)(88, 107)(89, 108)(90, 111)(91, 117)(92, 128)(93, 118)(94, 116)(95, 122)(96, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.481
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.486 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1)^2, Y1^2 * Y2^-2, (R * Y3)^2, R * Y2 * R * Y1, Y1^2 * Y3 * Y2^-1 * Y3 * Y2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 18, 50, 82, 114)(6, 38, 70, 102, 20, 52, 84, 116)(7, 39, 71, 103, 23, 55, 87, 119)(8, 40, 72, 104, 24, 56, 88, 120)(10, 42, 74, 106, 30, 62, 94, 126)(11, 43, 75, 107, 29, 61, 93, 125)(13, 45, 77, 109, 27, 59, 91, 123)(14, 46, 78, 110, 21, 53, 85, 117)(15, 47, 79, 111, 22, 54, 86, 118)(16, 48, 80, 112, 31, 63, 95, 127)(17, 49, 81, 113, 25, 57, 89, 121)(19, 51, 83, 115, 28, 60, 92, 124)(26, 58, 90, 122, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 43)(4, 46)(5, 33)(6, 45)(7, 53)(8, 38)(9, 58)(10, 57)(11, 54)(12, 62)(13, 35)(14, 60)(15, 56)(16, 36)(17, 59)(18, 55)(19, 37)(20, 61)(21, 64)(22, 42)(23, 48)(24, 44)(25, 40)(26, 50)(27, 47)(28, 41)(29, 49)(30, 52)(31, 51)(32, 63)(65, 99)(66, 104)(67, 103)(68, 111)(69, 106)(70, 97)(71, 118)(72, 117)(73, 123)(74, 98)(75, 101)(76, 122)(77, 127)(78, 125)(79, 124)(80, 126)(81, 100)(82, 120)(83, 102)(84, 119)(85, 109)(86, 128)(87, 113)(88, 112)(89, 115)(90, 116)(91, 114)(92, 108)(93, 105)(94, 110)(95, 107)(96, 121)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.482
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.487 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, Y1^-2 * Y2^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2 * Y1^3, Y1^-1 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-3, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100)(2, 34, 66, 98, 9, 41, 73, 105)(3, 35, 67, 99, 12, 44, 76, 108)(5, 37, 69, 101, 18, 50, 82, 114)(6, 38, 70, 102, 20, 52, 84, 116)(7, 39, 71, 103, 23, 55, 87, 119)(8, 40, 72, 104, 24, 56, 88, 120)(10, 42, 74, 106, 30, 62, 94, 126)(11, 43, 75, 107, 26, 58, 90, 122)(13, 45, 77, 109, 28, 60, 92, 124)(14, 46, 78, 110, 25, 57, 89, 121)(15, 47, 79, 111, 31, 63, 95, 127)(16, 48, 80, 112, 22, 54, 86, 118)(17, 49, 81, 113, 21, 53, 85, 117)(19, 51, 83, 115, 27, 59, 91, 123)(29, 61, 93, 125, 32, 64, 96, 128)
	L = (1, 34)(2, 39)(3, 43)(4, 46)(5, 33)(6, 45)(7, 53)(8, 38)(9, 58)(10, 57)(11, 54)(12, 59)(13, 35)(14, 55)(15, 56)(16, 36)(17, 62)(18, 60)(19, 37)(20, 61)(21, 64)(22, 42)(23, 52)(24, 50)(25, 40)(26, 49)(27, 48)(28, 41)(29, 44)(30, 47)(31, 51)(32, 63)(65, 99)(66, 104)(67, 103)(68, 111)(69, 106)(70, 97)(71, 118)(72, 117)(73, 123)(74, 98)(75, 101)(76, 120)(77, 127)(78, 122)(79, 119)(80, 124)(81, 100)(82, 125)(83, 102)(84, 126)(85, 109)(86, 128)(87, 114)(88, 112)(89, 115)(90, 116)(91, 113)(92, 110)(93, 105)(94, 108)(95, 107)(96, 121)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.483
Transitivity :: VT+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.488 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
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 :: [ R^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y1^2 * Y2^-1, (R * Y3)^2, R * Y2 * R * Y1, Y3^4, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, (Y3 * Y1 * Y2^-1)^2, Y3^-2 * Y1^-4, Y2^4 * Y3^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 19, 51, 83, 115, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 31, 63, 95, 127, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 28, 60, 92, 124, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 23, 55, 87, 119, 17, 49, 81, 113)(6, 38, 70, 102, 22, 54, 86, 118, 24, 56, 88, 120, 18, 50, 82, 114)(8, 40, 72, 104, 25, 57, 89, 121, 21, 53, 85, 117, 26, 58, 90, 122)(9, 41, 73, 105, 27, 59, 91, 123, 13, 45, 77, 109, 29, 61, 93, 125)(11, 43, 75, 107, 32, 64, 96, 128, 15, 47, 79, 111, 30, 62, 94, 126)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 52)(8, 55)(9, 38)(10, 39)(11, 60)(12, 36)(13, 56)(14, 64)(15, 35)(16, 62)(17, 58)(18, 59)(19, 63)(20, 57)(21, 37)(22, 61)(23, 51)(24, 43)(25, 44)(26, 42)(27, 46)(28, 41)(29, 48)(30, 50)(31, 53)(32, 54)(65, 99)(66, 105)(67, 104)(68, 114)(69, 107)(70, 97)(71, 118)(72, 120)(73, 119)(74, 126)(75, 98)(76, 128)(77, 101)(78, 103)(79, 127)(80, 100)(81, 125)(82, 122)(83, 124)(84, 123)(85, 102)(86, 121)(87, 111)(88, 115)(89, 112)(90, 110)(91, 108)(92, 117)(93, 106)(94, 116)(95, 109)(96, 113)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.476
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.489 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1^-1, Y2 * Y1^-2 * Y2, (Y2^-1 * Y1^-1)^2, Y3^4, Y3 * Y1 * Y3^-1 * Y2^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y3^2 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-2 * Y1^-1 * Y3^2, (Y1^2 * Y3)^2, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 30, 62, 94, 126, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 28, 60, 92, 124, 16, 48, 80, 112)(5, 37, 69, 101, 19, 51, 83, 115, 23, 55, 87, 119, 21, 53, 85, 117)(6, 38, 70, 102, 18, 50, 82, 114, 24, 56, 88, 120, 22, 54, 86, 118)(8, 40, 72, 104, 25, 57, 89, 121, 20, 52, 84, 116, 26, 58, 90, 122)(9, 41, 73, 105, 27, 59, 91, 123, 13, 45, 77, 109, 29, 61, 93, 125)(11, 43, 75, 107, 31, 63, 95, 127, 15, 47, 79, 111, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 45)(4, 46)(5, 33)(6, 47)(7, 48)(8, 55)(9, 38)(10, 59)(11, 60)(12, 61)(13, 56)(14, 57)(15, 35)(16, 58)(17, 62)(18, 36)(19, 63)(20, 37)(21, 64)(22, 39)(23, 49)(24, 43)(25, 54)(26, 50)(27, 53)(28, 41)(29, 51)(30, 52)(31, 42)(32, 44)(65, 99)(66, 105)(67, 104)(68, 106)(69, 107)(70, 97)(71, 108)(72, 120)(73, 119)(74, 121)(75, 98)(76, 122)(77, 101)(78, 125)(79, 126)(80, 123)(81, 124)(82, 128)(83, 100)(84, 102)(85, 103)(86, 127)(87, 111)(88, 113)(89, 117)(90, 115)(91, 114)(92, 116)(93, 118)(94, 109)(95, 112)(96, 110)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.477
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.490 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, Y3^4, Y2^-1 * Y1^2 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3^-1 * Y2 * Y3, (Y2^-1 * Y1^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y2^4 * Y3^2, (Y3^-1 * Y1 * Y2^-1)^2, Y2^-2 * Y3^2 * Y1^-2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 19, 51, 83, 115, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 31, 63, 95, 127, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 28, 60, 92, 124, 16, 48, 80, 112)(5, 37, 69, 101, 17, 49, 81, 113, 23, 55, 87, 119, 21, 53, 85, 117)(6, 38, 70, 102, 18, 50, 82, 114, 24, 56, 88, 120, 22, 54, 86, 118)(8, 40, 72, 104, 25, 57, 89, 121, 20, 52, 84, 116, 26, 58, 90, 122)(9, 41, 73, 105, 27, 59, 91, 123, 13, 45, 77, 109, 29, 61, 93, 125)(11, 43, 75, 107, 30, 62, 94, 126, 15, 47, 79, 111, 32, 64, 96, 128)
	L = (1, 34)(2, 40)(3, 45)(4, 49)(5, 33)(6, 47)(7, 53)(8, 55)(9, 38)(10, 36)(11, 60)(12, 39)(13, 56)(14, 64)(15, 35)(16, 62)(17, 58)(18, 59)(19, 63)(20, 37)(21, 57)(22, 61)(23, 51)(24, 43)(25, 42)(26, 44)(27, 48)(28, 41)(29, 46)(30, 54)(31, 52)(32, 50)(65, 99)(66, 105)(67, 104)(68, 114)(69, 107)(70, 97)(71, 118)(72, 120)(73, 119)(74, 126)(75, 98)(76, 128)(77, 101)(78, 100)(79, 127)(80, 103)(81, 125)(82, 122)(83, 124)(84, 102)(85, 123)(86, 121)(87, 111)(88, 115)(89, 110)(90, 112)(91, 106)(92, 116)(93, 108)(94, 113)(95, 109)(96, 117)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.478
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.491 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 8, 8})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y2 * Y1^-2 * Y2, Y3 * Y2 * Y3 * Y1^-1, (Y1^-1 * Y2^-1)^2, Y3^2 * Y2^-1 * Y1^-2 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y3^-1 * Y2 * Y1 * Y2^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 65, 97, 4, 36, 68, 100, 17, 49, 81, 113, 7, 39, 71, 103)(2, 34, 66, 98, 10, 42, 74, 106, 30, 62, 94, 126, 12, 44, 76, 108)(3, 35, 67, 99, 14, 46, 78, 110, 28, 60, 92, 124, 16, 48, 80, 112)(5, 37, 69, 101, 20, 52, 84, 116, 23, 55, 87, 119, 19, 51, 83, 115)(6, 38, 70, 102, 22, 54, 86, 118, 24, 56, 88, 120, 18, 50, 82, 114)(8, 40, 72, 104, 25, 57, 89, 121, 21, 53, 85, 117, 26, 58, 90, 122)(9, 41, 73, 105, 27, 59, 91, 123, 13, 45, 77, 109, 29, 61, 93, 125)(11, 43, 75, 107, 32, 64, 96, 128, 15, 47, 79, 111, 31, 63, 95, 127)
	L = (1, 34)(2, 40)(3, 45)(4, 48)(5, 33)(6, 47)(7, 46)(8, 55)(9, 38)(10, 61)(11, 60)(12, 59)(13, 56)(14, 58)(15, 35)(16, 57)(17, 62)(18, 36)(19, 64)(20, 63)(21, 37)(22, 39)(23, 49)(24, 43)(25, 54)(26, 50)(27, 52)(28, 41)(29, 51)(30, 53)(31, 42)(32, 44)(65, 99)(66, 105)(67, 104)(68, 108)(69, 107)(70, 97)(71, 106)(72, 120)(73, 119)(74, 122)(75, 98)(76, 121)(77, 101)(78, 123)(79, 126)(80, 125)(81, 124)(82, 127)(83, 100)(84, 103)(85, 102)(86, 128)(87, 111)(88, 113)(89, 116)(90, 115)(91, 114)(92, 117)(93, 118)(94, 109)(95, 112)(96, 110)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.479
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y2 * Y3^2, (Y1 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y2^-1)^8, (Y3^-1 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 13, 45)(5, 37, 7, 39)(6, 38, 15, 47)(8, 40, 18, 50)(10, 42, 20, 52)(11, 43, 16, 48)(12, 44, 21, 53)(14, 46, 22, 54)(17, 49, 26, 58)(19, 51, 27, 59)(23, 55, 32, 64)(24, 56, 29, 61)(25, 57, 30, 62)(28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 70, 102, 76, 108, 78, 110)(72, 104, 74, 106, 81, 113, 83, 115)(77, 109, 86, 118, 85, 117, 79, 111)(82, 114, 91, 123, 90, 122, 84, 116)(87, 119, 88, 120, 95, 127, 89, 121)(92, 124, 93, 125, 96, 128, 94, 126)
	L = (1, 68)(2, 72)(3, 70)(4, 69)(5, 78)(6, 65)(7, 74)(8, 73)(9, 83)(10, 66)(11, 76)(12, 67)(13, 87)(14, 75)(15, 89)(16, 81)(17, 71)(18, 92)(19, 80)(20, 94)(21, 95)(22, 88)(23, 79)(24, 77)(25, 85)(26, 96)(27, 93)(28, 84)(29, 82)(30, 90)(31, 86)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.503
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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, Y2 * Y3^-2, (Y1 * Y2^-1)^2, Y2^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 13, 45)(5, 37, 7, 39)(6, 38, 15, 47)(8, 40, 18, 50)(10, 42, 20, 52)(11, 43, 16, 48)(12, 44, 21, 53)(14, 46, 24, 56)(17, 49, 26, 58)(19, 51, 29, 61)(22, 54, 32, 64)(23, 55, 28, 60)(25, 57, 30, 62)(27, 59, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 80, 112, 73, 105)(68, 100, 76, 108, 78, 110, 70, 102)(72, 104, 81, 113, 83, 115, 74, 106)(77, 109, 79, 111, 88, 120, 85, 117)(82, 114, 84, 116, 93, 125, 90, 122)(86, 118, 89, 121, 95, 127, 87, 119)(91, 123, 94, 126, 96, 128, 92, 124)
	L = (1, 68)(2, 72)(3, 76)(4, 67)(5, 70)(6, 65)(7, 81)(8, 71)(9, 74)(10, 66)(11, 78)(12, 75)(13, 86)(14, 69)(15, 89)(16, 83)(17, 80)(18, 91)(19, 73)(20, 94)(21, 87)(22, 79)(23, 77)(24, 95)(25, 88)(26, 92)(27, 84)(28, 82)(29, 96)(30, 93)(31, 85)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.502
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.494 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y3^2, Y1^4, Y2 * Y1 * Y2^-1 * Y1, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, R * Y2 * Y1 * R * Y2^-1, Y3 * Y1^-1 * Y2 * Y3 * Y2, Y2^3 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 8, 40)(4, 36, 14, 46, 21, 53, 9, 41)(6, 38, 17, 49, 22, 54, 10, 42)(12, 44, 23, 55, 19, 51, 26, 58)(13, 45, 24, 56, 30, 62, 16, 48)(15, 47, 18, 50, 25, 57, 29, 61)(27, 59, 32, 64, 31, 63, 28, 60)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 75, 107, 90, 122, 74, 106)(68, 100, 79, 111, 95, 127, 88, 120, 85, 117, 89, 121, 91, 123, 80, 112)(73, 105, 82, 114, 96, 128, 94, 126, 78, 110, 93, 125, 92, 124, 77, 109)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 82)(7, 85)(8, 88)(9, 66)(10, 89)(11, 80)(12, 91)(13, 67)(14, 69)(15, 81)(16, 75)(17, 79)(18, 70)(19, 95)(20, 94)(21, 71)(22, 93)(23, 92)(24, 72)(25, 74)(26, 96)(27, 76)(28, 87)(29, 86)(30, 84)(31, 83)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.501
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.495 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y3^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y3)^2, R * Y2 * Y1^-1 * R * Y2^-1, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3, (Y2 * Y1^-1 * Y2)^2, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 8, 40)(4, 36, 14, 46, 21, 53, 9, 41)(6, 38, 17, 49, 22, 54, 10, 42)(12, 44, 23, 55, 19, 51, 26, 58)(13, 45, 16, 48, 25, 57, 27, 59)(15, 47, 24, 56, 31, 63, 18, 50)(28, 60, 29, 61, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 75, 107, 90, 122, 74, 106)(68, 100, 79, 111, 94, 126, 91, 123, 85, 117, 95, 127, 92, 124, 80, 112)(73, 105, 88, 120, 93, 125, 77, 109, 78, 110, 82, 114, 96, 128, 89, 121)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 82)(7, 85)(8, 80)(9, 66)(10, 79)(11, 91)(12, 92)(13, 67)(14, 69)(15, 74)(16, 72)(17, 95)(18, 70)(19, 94)(20, 89)(21, 71)(22, 88)(23, 96)(24, 86)(25, 84)(26, 93)(27, 75)(28, 76)(29, 90)(30, 83)(31, 81)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.500
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.496 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^-1, Y1^-2 * Y3^2, Y1^2 * Y3^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3), (R * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 16, 48, 14, 46)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 19, 51, 15, 47, 20, 52)(9, 41, 21, 53, 17, 49, 22, 54)(11, 43, 23, 55, 18, 50, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 71, 103, 79, 111, 72, 104, 80, 112, 68, 100, 70, 102)(66, 98, 73, 105, 76, 108, 82, 114, 69, 101, 81, 113, 74, 106, 75, 107)(77, 109, 89, 121, 84, 116, 92, 124, 78, 110, 91, 123, 83, 115, 90, 122)(85, 117, 93, 125, 88, 120, 96, 128, 86, 118, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 74)(3, 70)(4, 72)(5, 76)(6, 80)(7, 65)(8, 71)(9, 75)(10, 69)(11, 81)(12, 66)(13, 83)(14, 84)(15, 67)(16, 79)(17, 82)(18, 73)(19, 78)(20, 77)(21, 87)(22, 88)(23, 86)(24, 85)(25, 90)(26, 91)(27, 92)(28, 89)(29, 94)(30, 95)(31, 96)(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, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.498
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3, Y1^2 * Y3^2, Y3^4, Y1^4, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1, Y3^-1), Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 20, 52, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 14, 46, 19, 51)(9, 41, 21, 53, 16, 48, 22, 54)(11, 43, 23, 55, 17, 49, 24, 56)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 32, 64, 28, 60, 30, 62)(65, 97, 67, 99, 68, 100, 78, 110, 72, 104, 84, 116, 71, 103, 70, 102)(66, 98, 73, 105, 74, 106, 81, 113, 69, 101, 80, 112, 76, 108, 75, 107)(77, 109, 89, 121, 83, 115, 92, 124, 79, 111, 91, 123, 82, 114, 90, 122)(85, 117, 93, 125, 88, 120, 96, 128, 86, 118, 95, 127, 87, 119, 94, 126)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 67)(7, 65)(8, 71)(9, 81)(10, 69)(11, 73)(12, 66)(13, 83)(14, 84)(15, 82)(16, 75)(17, 80)(18, 77)(19, 79)(20, 70)(21, 88)(22, 87)(23, 85)(24, 86)(25, 92)(26, 89)(27, 90)(28, 91)(29, 96)(30, 93)(31, 94)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.499
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^2 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 4, 36, 8, 40, 13, 45, 15, 47, 6, 38, 5, 37)(3, 35, 9, 41, 10, 42, 20, 52, 21, 53, 23, 55, 12, 44, 11, 43)(7, 39, 16, 48, 17, 49, 27, 59, 25, 57, 24, 56, 14, 46, 18, 50)(19, 51, 29, 61, 30, 62, 28, 60, 32, 64, 26, 58, 22, 54, 31, 63)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 78, 110)(70, 102, 76, 108)(72, 104, 81, 113)(73, 105, 83, 115)(75, 107, 86, 118)(77, 109, 85, 117)(79, 111, 89, 121)(80, 112, 90, 122)(82, 114, 92, 124)(84, 116, 94, 126)(87, 119, 96, 128)(88, 120, 93, 125)(91, 123, 95, 127)
	L = (1, 68)(2, 72)(3, 74)(4, 77)(5, 66)(6, 65)(7, 81)(8, 79)(9, 84)(10, 85)(11, 73)(12, 67)(13, 70)(14, 71)(15, 69)(16, 91)(17, 89)(18, 80)(19, 94)(20, 87)(21, 76)(22, 83)(23, 75)(24, 82)(25, 78)(26, 95)(27, 88)(28, 90)(29, 92)(30, 96)(31, 93)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.496
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.499 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C4) : C2 (small group id <32, 11>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3 * Y1^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 8, 40, 13, 45, 14, 46, 4, 36, 5, 37)(3, 35, 9, 41, 12, 44, 20, 52, 21, 53, 22, 54, 10, 42, 11, 43)(7, 39, 16, 48, 18, 50, 27, 59, 24, 56, 25, 57, 15, 47, 17, 49)(19, 51, 29, 61, 31, 63, 28, 60, 32, 64, 26, 58, 23, 55, 30, 62)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 74, 106)(69, 101, 79, 111)(70, 102, 76, 108)(72, 104, 82, 114)(73, 105, 83, 115)(75, 107, 87, 119)(77, 109, 85, 117)(78, 110, 88, 120)(80, 112, 90, 122)(81, 113, 92, 124)(84, 116, 95, 127)(86, 118, 96, 128)(89, 121, 93, 125)(91, 123, 94, 126)
	L = (1, 68)(2, 69)(3, 74)(4, 77)(5, 78)(6, 65)(7, 79)(8, 66)(9, 75)(10, 85)(11, 86)(12, 67)(13, 70)(14, 72)(15, 88)(16, 81)(17, 89)(18, 71)(19, 87)(20, 73)(21, 76)(22, 84)(23, 96)(24, 82)(25, 91)(26, 92)(27, 80)(28, 93)(29, 94)(30, 90)(31, 83)(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) :: { ( 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 E17.497
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.500 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2, Y2 * Y3 * Y1^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^4 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 22, 54, 10, 42, 5, 37)(3, 35, 9, 41, 19, 51, 28, 60, 15, 47, 12, 44, 4, 36, 11, 43)(7, 39, 16, 48, 13, 45, 25, 57, 27, 59, 18, 50, 8, 40, 17, 49)(20, 52, 32, 64, 23, 55, 30, 62, 24, 56, 29, 61, 21, 53, 31, 63)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 70, 102)(69, 101, 77, 109)(72, 104, 78, 110)(73, 105, 84, 116)(74, 106, 83, 115)(75, 107, 87, 119)(76, 108, 88, 120)(79, 111, 90, 122)(80, 112, 93, 125)(81, 113, 95, 127)(82, 114, 96, 128)(85, 117, 92, 124)(86, 118, 91, 123)(89, 121, 94, 126)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 71)(6, 79)(7, 69)(8, 66)(9, 85)(10, 67)(11, 84)(12, 87)(13, 86)(14, 91)(15, 70)(16, 94)(17, 93)(18, 95)(19, 90)(20, 75)(21, 73)(22, 77)(23, 76)(24, 92)(25, 96)(26, 83)(27, 78)(28, 88)(29, 81)(30, 80)(31, 82)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.495
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.501 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y1^-2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y2 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 24, 56, 12, 44, 5, 37)(3, 35, 9, 41, 4, 36, 11, 43, 22, 54, 28, 60, 15, 47, 10, 42)(7, 39, 16, 48, 8, 40, 18, 50, 13, 45, 25, 57, 27, 59, 17, 49)(19, 51, 31, 63, 20, 52, 32, 64, 21, 53, 29, 61, 23, 55, 30, 62)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 76, 108)(69, 101, 72, 104)(70, 102, 79, 111)(73, 105, 83, 115)(74, 106, 84, 116)(75, 107, 87, 119)(77, 109, 88, 120)(78, 110, 91, 123)(80, 112, 93, 125)(81, 113, 94, 126)(82, 114, 96, 128)(85, 117, 92, 124)(86, 118, 90, 122)(89, 121, 95, 127)
	L = (1, 68)(2, 72)(3, 70)(4, 65)(5, 77)(6, 67)(7, 78)(8, 66)(9, 84)(10, 85)(11, 83)(12, 86)(13, 69)(14, 71)(15, 90)(16, 94)(17, 95)(18, 93)(19, 75)(20, 73)(21, 74)(22, 76)(23, 92)(24, 91)(25, 96)(26, 79)(27, 88)(28, 87)(29, 82)(30, 80)(31, 81)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.494
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.502 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y3 * Y1^-1, (Y2 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2^-3 * Y1^-1, Y2^8, Y1^-1 * Y2^-3 * Y1^2 * Y2^-1 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 24, 56, 12, 44, 4, 36)(3, 35, 9, 41, 19, 51, 31, 63, 25, 57, 28, 60, 15, 47, 8, 40)(5, 37, 11, 43, 22, 54, 32, 64, 21, 53, 27, 59, 16, 48, 7, 39)(10, 42, 18, 50, 29, 61, 23, 55, 13, 45, 17, 49, 30, 62, 20, 52)(65, 97, 67, 99, 74, 106, 85, 117, 90, 122, 89, 121, 77, 109, 69, 101)(66, 98, 71, 103, 81, 113, 95, 127, 88, 120, 96, 128, 82, 114, 72, 104)(68, 100, 75, 107, 87, 119, 92, 124, 78, 110, 91, 123, 84, 116, 73, 105)(70, 102, 79, 111, 93, 125, 86, 118, 76, 108, 83, 115, 94, 126, 80, 112)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 78)(7, 69)(8, 67)(9, 83)(10, 82)(11, 86)(12, 68)(13, 81)(14, 90)(15, 72)(16, 71)(17, 94)(18, 93)(19, 95)(20, 74)(21, 91)(22, 96)(23, 77)(24, 76)(25, 92)(26, 88)(27, 80)(28, 79)(29, 87)(30, 84)(31, 89)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.493
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.503 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 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 :: [ R^2, Y2^-2 * Y3 * Y1, (Y2 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y2^-1, Y3^-1 * Y1^-1 * Y2^-2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, Y1^-2 * Y3^-2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y1^-2 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * R * Y2 * R * Y2^-1 * Y1, Y3 * Y1 * Y2^6, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 29, 61, 17, 49, 5, 37)(3, 35, 13, 45, 25, 57, 32, 64, 26, 58, 31, 63, 21, 53, 11, 43)(4, 36, 14, 46, 7, 39, 19, 51, 23, 55, 10, 42, 24, 56, 12, 44)(6, 38, 18, 50, 27, 59, 15, 47, 28, 60, 16, 48, 22, 54, 9, 41)(65, 97, 67, 99, 78, 110, 92, 124, 94, 126, 90, 122, 74, 106, 70, 102)(66, 98, 73, 105, 88, 120, 96, 128, 93, 125, 79, 111, 71, 103, 75, 107)(68, 100, 77, 109, 69, 101, 82, 114, 87, 119, 95, 127, 84, 116, 80, 112)(72, 104, 85, 117, 83, 115, 91, 123, 81, 113, 89, 121, 76, 108, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 81)(5, 83)(6, 75)(7, 65)(8, 71)(9, 89)(10, 69)(11, 86)(12, 66)(13, 70)(14, 84)(15, 85)(16, 67)(17, 88)(18, 90)(19, 93)(20, 76)(21, 82)(22, 95)(23, 72)(24, 94)(25, 80)(26, 73)(27, 77)(28, 96)(29, 78)(30, 87)(31, 92)(32, 91)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.492
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.504 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1, Y3), Y1^-2 * Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3 * Y2^2 * Y1^-1, Y3 * Y2^4 * Y1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2^2 * Y1^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 24, 56, 16, 48, 20, 52)(25, 57, 31, 63, 27, 59, 29, 61)(26, 58, 30, 62, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 82, 114, 70, 102, 81, 113, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 77, 109, 68, 100, 76, 108, 88, 120, 72, 104)(73, 105, 89, 121, 78, 110, 92, 124, 75, 107, 91, 123, 79, 111, 90, 122)(83, 115, 93, 125, 86, 118, 96, 128, 85, 117, 95, 127, 87, 119, 94, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 88)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 84)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 95)(26, 94)(27, 93)(28, 96)(29, 89)(30, 92)(31, 91)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.505
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.505 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2) (small group id <32, 8>)
Aut   = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, (Y3 * R)^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y1)^2, (R * Y2)^2, Y1^-4 * Y2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1)^2, (Y3^-1 * Y1^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 11, 43, 3, 35, 8, 40, 15, 47, 5, 37)(4, 36, 12, 44, 20, 52, 18, 50, 6, 38, 17, 49, 19, 51, 13, 45)(9, 41, 21, 53, 14, 46, 24, 56, 10, 42, 23, 55, 16, 48, 22, 54)(25, 57, 30, 62, 27, 59, 32, 64, 26, 58, 29, 61, 28, 60, 31, 63)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 79, 111)(73, 105, 74, 106)(76, 108, 81, 113)(77, 109, 82, 114)(78, 110, 80, 112)(83, 115, 84, 116)(85, 117, 87, 119)(86, 118, 88, 120)(89, 121, 90, 122)(91, 123, 92, 124)(93, 125, 94, 126)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 78)(6, 65)(7, 83)(8, 74)(9, 72)(10, 66)(11, 80)(12, 89)(13, 91)(14, 75)(15, 84)(16, 69)(17, 90)(18, 92)(19, 79)(20, 71)(21, 93)(22, 95)(23, 94)(24, 96)(25, 81)(26, 76)(27, 82)(28, 77)(29, 87)(30, 85)(31, 88)(32, 86)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.504
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.506 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 13, 45, 7, 39)(5, 37, 11, 43, 14, 46, 8, 40)(10, 42, 15, 47, 21, 53, 17, 49)(12, 44, 16, 48, 22, 54, 19, 51)(18, 50, 25, 57, 28, 60, 23, 55)(20, 52, 27, 59, 29, 61, 24, 56)(26, 58, 30, 62, 32, 64, 31, 63)(65, 97, 67, 99, 74, 106, 82, 114, 90, 122, 84, 116, 76, 108, 69, 101)(66, 98, 71, 103, 79, 111, 87, 119, 94, 126, 88, 120, 80, 112, 72, 104)(68, 100, 73, 105, 81, 113, 89, 121, 95, 127, 91, 123, 83, 115, 75, 107)(70, 102, 77, 109, 85, 117, 92, 124, 96, 128, 93, 125, 86, 118, 78, 110)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 75)(6, 68)(7, 67)(8, 69)(9, 77)(10, 79)(11, 78)(12, 80)(13, 71)(14, 72)(15, 85)(16, 86)(17, 74)(18, 89)(19, 76)(20, 91)(21, 81)(22, 83)(23, 82)(24, 84)(25, 92)(26, 94)(27, 93)(28, 87)(29, 88)(30, 96)(31, 90)(32, 95)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.512
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y1^4, Y3^-2 * Y1^2, Y3 * Y2 * Y3 * Y2^-1, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^3 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 31, 63, 29, 61)(15, 47, 25, 57, 16, 48, 24, 56)(17, 49, 27, 59, 19, 51, 26, 58)(20, 52, 28, 60, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 91, 123, 76, 108, 88, 120, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 81, 113, 68, 100, 80, 112, 92, 124, 75, 107)(69, 101, 77, 109, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 82, 114)(72, 104, 85, 117, 95, 127, 90, 122, 74, 106, 89, 121, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 89)(14, 92)(15, 85)(16, 67)(17, 70)(18, 90)(19, 86)(20, 87)(21, 80)(22, 81)(23, 96)(24, 77)(25, 73)(26, 75)(27, 82)(28, 95)(29, 84)(30, 78)(31, 94)(32, 93)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.516
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, (Y3, Y1), (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1, Y1^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3, Y3^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 31, 63, 29, 61)(15, 47, 25, 57, 16, 48, 24, 56)(17, 49, 27, 59, 19, 51, 26, 58)(20, 52, 28, 60, 32, 64, 30, 62)(65, 97, 67, 99, 78, 110, 90, 122, 74, 106, 89, 121, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 83, 115, 71, 103, 79, 111, 92, 124, 75, 107)(68, 100, 80, 112, 94, 126, 82, 114, 69, 101, 77, 109, 93, 125, 81, 113)(72, 104, 85, 117, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 89)(14, 94)(15, 85)(16, 67)(17, 70)(18, 90)(19, 86)(20, 93)(21, 80)(22, 81)(23, 84)(24, 77)(25, 73)(26, 75)(27, 82)(28, 78)(29, 96)(30, 95)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.514
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1^-1, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-3, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 4, 36)(3, 35, 9, 41, 17, 49, 11, 43)(5, 37, 14, 46, 18, 50, 15, 47)(7, 39, 19, 51, 12, 44, 21, 53)(8, 40, 22, 54, 13, 45, 23, 55)(10, 42, 20, 52, 29, 61, 27, 59)(16, 48, 24, 56, 30, 62, 25, 57)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 74, 106, 86, 118, 95, 127, 83, 115, 80, 112, 69, 101)(66, 98, 71, 103, 84, 116, 79, 111, 92, 124, 75, 107, 88, 120, 72, 104)(68, 100, 76, 108, 91, 123, 78, 110, 90, 122, 73, 105, 89, 121, 77, 109)(70, 102, 81, 113, 93, 125, 87, 119, 96, 128, 85, 117, 94, 126, 82, 114)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 93)(21, 71)(22, 77)(23, 72)(24, 94)(25, 80)(26, 95)(27, 74)(28, 96)(29, 91)(30, 89)(31, 92)(32, 90)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.517
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^4, Y2 * Y3 * Y2^-1 * Y1, Y1^4, (Y3^-1, Y1^-1), Y2^-1 * Y3 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y2^2 * Y3 * Y2^2 * Y1^-1, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 16, 48)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 19, 51, 22, 54, 17, 49)(9, 41, 23, 55, 15, 47, 25, 57)(11, 43, 27, 59, 18, 50, 26, 58)(14, 46, 24, 56, 31, 63, 30, 62)(20, 52, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 91, 123, 76, 108, 87, 119, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 81, 113, 68, 100, 80, 112, 92, 124, 75, 107)(69, 101, 79, 111, 94, 126, 83, 115, 71, 103, 77, 109, 93, 125, 82, 114)(72, 104, 85, 117, 95, 127, 90, 122, 74, 106, 89, 121, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 82)(7, 65)(8, 71)(9, 67)(10, 69)(11, 70)(12, 66)(13, 89)(14, 92)(15, 85)(16, 87)(17, 91)(18, 86)(19, 90)(20, 88)(21, 73)(22, 75)(23, 77)(24, 96)(25, 80)(26, 81)(27, 83)(28, 95)(29, 78)(30, 84)(31, 93)(32, 94)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.513
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y1^-1, Y3), Y3 * Y2 * Y1^-1 * Y2^-1, (R * Y3)^2, Y2 * Y3^-1 * Y2^-1 * Y1, (R * Y1)^2, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 17, 49, 22, 54, 19, 51)(9, 41, 23, 55, 16, 48, 25, 57)(11, 43, 26, 58, 18, 50, 27, 59)(14, 46, 24, 56, 31, 63, 30, 62)(20, 52, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99, 78, 110, 90, 122, 74, 106, 87, 119, 84, 116, 70, 102)(66, 98, 73, 105, 88, 120, 83, 115, 71, 103, 79, 111, 92, 124, 75, 107)(68, 100, 77, 109, 93, 125, 82, 114, 69, 101, 80, 112, 94, 126, 81, 113)(72, 104, 85, 117, 95, 127, 91, 123, 76, 108, 89, 121, 96, 128, 86, 118)
	L = (1, 68)(2, 74)(3, 73)(4, 72)(5, 76)(6, 75)(7, 65)(8, 71)(9, 85)(10, 69)(11, 86)(12, 66)(13, 87)(14, 93)(15, 89)(16, 67)(17, 90)(18, 70)(19, 91)(20, 94)(21, 80)(22, 82)(23, 79)(24, 84)(25, 77)(26, 83)(27, 81)(28, 78)(29, 95)(30, 96)(31, 92)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.515
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-2 * Y2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y2)^2, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 15, 47, 23, 55, 22, 54, 14, 46, 5, 37)(3, 35, 8, 40, 16, 48, 24, 56, 30, 62, 27, 59, 19, 51, 11, 43)(4, 36, 10, 42, 17, 49, 26, 58, 31, 63, 28, 60, 20, 52, 12, 44)(6, 38, 9, 41, 18, 50, 25, 57, 32, 64, 29, 61, 21, 53, 13, 45)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 80, 112)(73, 105, 74, 106)(76, 108, 77, 109)(78, 110, 83, 115)(79, 111, 88, 120)(81, 113, 82, 114)(84, 116, 85, 117)(86, 118, 91, 123)(87, 119, 94, 126)(89, 121, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 77)(6, 65)(7, 81)(8, 74)(9, 72)(10, 66)(11, 76)(12, 69)(13, 75)(14, 84)(15, 89)(16, 82)(17, 80)(18, 71)(19, 85)(20, 83)(21, 78)(22, 93)(23, 95)(24, 90)(25, 88)(26, 79)(27, 92)(28, 86)(29, 91)(30, 96)(31, 94)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.506
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.513 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y1^-1 * Y2 * Y1 * Y2, Y3^4, Y1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y1^-1 * Y3 * Y1^-3 * Y3, Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1^4 * Y2 * Y3^-1, Y2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 22, 54, 29, 61, 31, 63, 18, 50, 5, 37)(3, 35, 8, 40, 23, 55, 32, 64, 15, 47, 27, 59, 30, 62, 12, 44)(4, 36, 14, 46, 24, 56, 19, 51, 13, 45, 10, 42, 28, 60, 16, 48)(6, 38, 20, 52, 25, 57, 17, 49, 11, 43, 9, 41, 26, 58, 21, 53)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 87, 119)(73, 105, 78, 110)(74, 106, 84, 116)(79, 111, 93, 125)(80, 112, 81, 113)(82, 114, 94, 126)(83, 115, 85, 117)(86, 118, 96, 128)(88, 120, 90, 122)(89, 121, 92, 124)(91, 123, 95, 127)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 88)(8, 78)(9, 91)(10, 66)(11, 93)(12, 80)(13, 67)(14, 95)(15, 70)(16, 86)(17, 96)(18, 92)(19, 69)(20, 72)(21, 76)(22, 85)(23, 90)(24, 94)(25, 71)(26, 82)(27, 74)(28, 87)(29, 77)(30, 89)(31, 84)(32, 83)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.510
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.514 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^4, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^4, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 12, 44, 3, 35, 8, 40, 17, 49, 5, 37)(4, 36, 10, 42, 18, 50, 24, 56, 11, 43, 21, 53, 27, 59, 15, 47)(6, 38, 9, 41, 19, 51, 25, 57, 13, 45, 20, 52, 28, 60, 16, 48)(14, 46, 22, 54, 29, 61, 31, 63, 23, 55, 30, 62, 32, 64, 26, 58)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 81, 113)(73, 105, 84, 116)(74, 106, 85, 117)(78, 110, 87, 119)(79, 111, 88, 120)(80, 112, 89, 121)(82, 114, 91, 123)(83, 115, 92, 124)(86, 118, 94, 126)(90, 122, 95, 127)(93, 125, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 80)(6, 65)(7, 82)(8, 84)(9, 86)(10, 66)(11, 87)(12, 89)(13, 67)(14, 70)(15, 69)(16, 90)(17, 91)(18, 93)(19, 71)(20, 94)(21, 72)(22, 74)(23, 77)(24, 76)(25, 95)(26, 79)(27, 96)(28, 81)(29, 83)(30, 85)(31, 88)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.508
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.515 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y2, Y3^4, Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y1^-1 * Y3 * Y1, Y2 * Y1^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 12, 44, 3, 35, 8, 40, 18, 50, 5, 37)(4, 36, 14, 46, 22, 54, 19, 51, 11, 43, 10, 42, 26, 58, 16, 48)(6, 38, 20, 52, 23, 55, 17, 49, 13, 45, 9, 41, 24, 56, 21, 53)(15, 47, 25, 57, 31, 63, 30, 62, 27, 59, 28, 60, 32, 64, 29, 61)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 82, 114)(73, 105, 84, 116)(74, 106, 78, 110)(79, 111, 91, 123)(80, 112, 83, 115)(81, 113, 85, 117)(86, 118, 90, 122)(87, 119, 88, 120)(89, 121, 92, 124)(93, 125, 94, 126)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 79)(5, 81)(6, 65)(7, 86)(8, 84)(9, 89)(10, 66)(11, 91)(12, 85)(13, 67)(14, 72)(15, 70)(16, 76)(17, 93)(18, 90)(19, 69)(20, 92)(21, 94)(22, 95)(23, 71)(24, 82)(25, 74)(26, 96)(27, 77)(28, 78)(29, 83)(30, 80)(31, 87)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.511
Graph:: bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.516 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y2 * Y3^-1, Y3^4, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^3 * Y3^2 * Y1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 25, 57, 32, 64, 17, 49, 5, 37)(3, 35, 8, 40, 19, 51, 29, 61, 14, 46, 24, 56, 28, 60, 12, 44)(4, 36, 10, 42, 20, 52, 27, 59, 13, 45, 22, 54, 30, 62, 15, 47)(6, 38, 9, 41, 21, 53, 26, 58, 11, 43, 23, 55, 31, 63, 16, 48)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(84, 116, 95, 127)(85, 117, 94, 126)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 80)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 89)(12, 91)(13, 67)(14, 70)(15, 69)(16, 93)(17, 94)(18, 90)(19, 95)(20, 92)(21, 71)(22, 96)(23, 72)(24, 74)(25, 77)(26, 76)(27, 82)(28, 85)(29, 79)(30, 83)(31, 81)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.507
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.517 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C4 : C8 (small group id <32, 12>)
Aut   = (C4 x D8) : C2 (small group id <64, 140>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^2, Y1 * Y2 * Y1^-1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1^5 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 19, 51, 31, 63, 28, 60, 15, 47, 5, 37)(3, 35, 8, 40, 20, 52, 30, 62, 32, 64, 29, 61, 27, 59, 11, 43)(4, 36, 12, 44, 21, 53, 16, 48, 26, 58, 10, 42, 25, 57, 13, 45)(6, 38, 17, 49, 22, 54, 14, 46, 24, 56, 9, 41, 23, 55, 18, 50)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 70, 102)(69, 101, 75, 107)(71, 103, 84, 116)(73, 105, 74, 106)(76, 108, 81, 113)(77, 109, 82, 114)(78, 110, 80, 112)(79, 111, 91, 123)(83, 115, 94, 126)(85, 117, 86, 118)(87, 119, 89, 121)(88, 120, 90, 122)(92, 124, 93, 125)(95, 127, 96, 128)
	L = (1, 68)(2, 73)(3, 70)(4, 67)(5, 78)(6, 65)(7, 85)(8, 74)(9, 72)(10, 66)(11, 80)(12, 92)(13, 83)(14, 75)(15, 89)(16, 69)(17, 93)(18, 94)(19, 82)(20, 86)(21, 84)(22, 71)(23, 79)(24, 95)(25, 91)(26, 96)(27, 87)(28, 81)(29, 76)(30, 77)(31, 90)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.509
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.518 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 x C2 (small group id <32, 36>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-2, (Y2, Y3^-1), (Y3, Y1^-1), Y3^2 * Y1^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y2^-1, Y1), Y2^4 * Y3^2, Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 19, 51, 27, 59)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 20, 52, 28, 60)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 79, 111, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 86)(18, 92)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 79)(25, 73)(26, 82)(27, 96)(28, 75)(29, 83)(30, 77)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.519
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C8 x C2 x C2 (small group id <32, 36>)
Aut   = C2 x C2 x D16 (small group id <64, 250>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-4, (R * Y2)^2, (Y3^-1, Y1), (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y3^2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 14, 46, 24, 56, 16, 48, 5, 37)(3, 35, 8, 40, 19, 51, 29, 61, 25, 57, 32, 64, 27, 59, 12, 44)(4, 36, 9, 41, 20, 52, 17, 49, 6, 38, 10, 42, 21, 53, 15, 47)(11, 43, 22, 54, 30, 62, 28, 60, 13, 45, 23, 55, 31, 63, 26, 58)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(84, 116, 94, 126)(85, 117, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 79)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 89)(12, 90)(13, 67)(14, 70)(15, 82)(16, 85)(17, 69)(18, 81)(19, 94)(20, 80)(21, 71)(22, 96)(23, 72)(24, 74)(25, 77)(26, 93)(27, 95)(28, 76)(29, 92)(30, 91)(31, 83)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.518
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^-2, Y3^-2 * Y1^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), Y1^4, Y3 * Y2 * Y3 * Y2^-1, (Y2^-1, Y1), Y2^4 * Y1^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 9, 41, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 11, 43, 22, 54, 18, 50)(13, 45, 23, 55, 20, 52, 28, 60)(14, 46, 24, 56, 16, 48, 25, 57)(17, 49, 26, 58, 19, 51, 27, 59)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 79, 111, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 78, 110, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 93)(14, 85)(15, 89)(16, 67)(17, 70)(18, 90)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 79)(25, 73)(26, 75)(27, 82)(28, 96)(29, 84)(30, 77)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.525
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y1^4, (R * Y3)^2, Y3^4, (Y3^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^4 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 20, 52, 28, 60)(15, 47, 25, 57, 16, 48, 24, 56)(17, 49, 27, 59, 19, 51, 26, 58)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 77, 109, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 89)(14, 93)(15, 85)(16, 67)(17, 70)(18, 90)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 77)(25, 73)(26, 75)(27, 82)(28, 96)(29, 84)(30, 78)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.523
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y1^4, Y3^-2 * Y1^2, (Y3 * Y1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y2, Y3^-1), (Y3 * Y1^-1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y2^4 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 9, 41)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 11, 43)(14, 46, 23, 55, 19, 51, 27, 59)(15, 47, 25, 57, 16, 48, 24, 56)(17, 49, 28, 60, 20, 52, 26, 58)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 82, 114, 69, 101, 77, 109, 91, 123, 75, 107)(68, 100, 79, 111, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 89)(14, 93)(15, 85)(16, 67)(17, 86)(18, 92)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 77)(25, 73)(26, 82)(27, 96)(28, 75)(29, 83)(30, 78)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.524
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y2, Y3^2 * Y1^-1 * Y3^-2 * Y1, Y1^-1 * Y3^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 14, 46, 24, 56, 17, 49, 5, 37)(3, 35, 8, 40, 19, 51, 29, 61, 25, 57, 32, 64, 28, 60, 12, 44)(4, 36, 10, 42, 20, 52, 16, 48, 6, 38, 9, 41, 21, 53, 15, 47)(11, 43, 23, 55, 30, 62, 27, 59, 13, 45, 22, 54, 31, 63, 26, 58)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 75, 107)(69, 101, 76, 108)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 89, 121)(79, 111, 90, 122)(80, 112, 91, 123)(81, 113, 92, 124)(82, 114, 93, 125)(84, 116, 94, 126)(85, 117, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 75)(4, 78)(5, 80)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 89)(12, 91)(13, 67)(14, 70)(15, 69)(16, 82)(17, 85)(18, 79)(19, 94)(20, 81)(21, 71)(22, 96)(23, 72)(24, 74)(25, 77)(26, 76)(27, 93)(28, 95)(29, 90)(30, 92)(31, 83)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.521
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-4, Y3^4, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y3^2 * Y1^-4, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 28, 60, 18, 50, 5, 37)(3, 35, 11, 43, 21, 53, 17, 49, 26, 58, 8, 40, 24, 56, 13, 45)(4, 36, 9, 41, 22, 54, 19, 51, 6, 38, 10, 42, 23, 55, 16, 48)(12, 44, 27, 59, 31, 63, 30, 62, 14, 46, 25, 57, 32, 64, 29, 61)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 89, 121)(74, 106, 91, 123)(75, 107, 92, 124)(77, 109, 84, 116)(79, 111, 90, 122)(80, 112, 94, 126)(82, 114, 88, 120)(83, 115, 93, 125)(86, 118, 95, 127)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 91)(12, 90)(13, 93)(14, 67)(15, 70)(16, 84)(17, 94)(18, 87)(19, 69)(20, 83)(21, 95)(22, 82)(23, 71)(24, 96)(25, 75)(26, 78)(27, 72)(28, 74)(29, 81)(30, 77)(31, 88)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.522
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.525 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = C2 x (C8 : C2) (small group id <32, 37>)
Aut   = C2 x ((C2 x D8) : C2) (small group id <64, 254>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y2 * Y3^-1 * Y2 * Y3, Y3^4, (Y2 * R)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y1^-1 * Y3^2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 28, 60, 19, 51, 5, 37)(3, 35, 11, 43, 21, 53, 17, 49, 26, 58, 8, 40, 24, 56, 13, 45)(4, 36, 10, 42, 22, 54, 18, 50, 6, 38, 9, 41, 23, 55, 16, 48)(12, 44, 25, 57, 31, 63, 30, 62, 14, 46, 27, 59, 32, 64, 29, 61)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 89, 121)(74, 106, 91, 123)(75, 107, 92, 124)(77, 109, 84, 116)(79, 111, 90, 122)(80, 112, 94, 126)(82, 114, 93, 125)(83, 115, 88, 120)(86, 118, 95, 127)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 82)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 91)(12, 90)(13, 94)(14, 67)(15, 70)(16, 69)(17, 93)(18, 84)(19, 87)(20, 80)(21, 95)(22, 83)(23, 71)(24, 96)(25, 75)(26, 78)(27, 72)(28, 74)(29, 77)(30, 81)(31, 88)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.520
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.526 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-4, (Y2, Y3^-1), Y2^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y2)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^2 * Y3^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 8, 40)(5, 37, 7, 39)(6, 38, 10, 42)(11, 43, 18, 50)(12, 44, 22, 54)(13, 45, 23, 55)(14, 46, 21, 53)(15, 47, 19, 51)(16, 48, 20, 52)(17, 49, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 76, 108, 89, 121, 79, 111)(70, 102, 77, 109, 90, 122, 80, 112)(72, 104, 83, 115, 93, 125, 86, 118)(74, 106, 84, 116, 94, 126, 87, 119)(78, 110, 91, 123, 81, 113, 92, 124)(85, 117, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 78)(5, 79)(6, 65)(7, 83)(8, 85)(9, 86)(10, 66)(11, 89)(12, 91)(13, 67)(14, 90)(15, 92)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 94)(22, 96)(23, 73)(24, 74)(25, 81)(26, 75)(27, 80)(28, 77)(29, 88)(30, 82)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.553
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3 * Y2 * Y3^-1 * Y2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3^-1 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1)^2, Y3^3 * Y2 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34)(3, 35, 9, 41)(4, 36, 8, 40)(5, 37, 7, 39)(6, 38, 10, 42)(11, 43, 18, 50)(12, 44, 21, 53)(13, 45, 23, 55)(14, 46, 19, 51)(15, 47, 22, 54)(16, 48, 20, 52)(17, 49, 24, 56)(25, 57, 29, 61)(26, 58, 30, 62)(27, 59, 32, 64)(28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 69, 101)(66, 98, 71, 103, 82, 114, 73, 105)(68, 100, 78, 110, 89, 121, 76, 108)(70, 102, 80, 112, 90, 122, 77, 109)(72, 104, 85, 117, 93, 125, 83, 115)(74, 106, 87, 119, 94, 126, 84, 116)(79, 111, 91, 123, 81, 113, 92, 124)(86, 118, 95, 127, 88, 120, 96, 128)
	L = (1, 68)(2, 72)(3, 76)(4, 79)(5, 78)(6, 65)(7, 83)(8, 86)(9, 85)(10, 66)(11, 89)(12, 91)(13, 67)(14, 92)(15, 90)(16, 69)(17, 70)(18, 93)(19, 95)(20, 71)(21, 96)(22, 94)(23, 73)(24, 74)(25, 81)(26, 75)(27, 80)(28, 77)(29, 88)(30, 82)(31, 87)(32, 84)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.552
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1^4, Y1^-2 * Y2^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 18, 50, 13, 45)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 10, 42, 20, 52, 16, 48)(11, 43, 21, 53, 17, 49, 24, 56)(12, 44, 26, 58, 29, 61, 22, 54)(15, 47, 27, 59, 30, 62, 23, 55)(25, 57, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 75, 107, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 80, 112, 69, 101, 77, 109, 88, 120, 74, 106)(68, 100, 76, 108, 89, 121, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 91, 123, 78, 110, 90, 122, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 77)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.541
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.529 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 18, 50, 13, 45)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 8, 40, 20, 52, 16, 48)(11, 43, 24, 56, 17, 49, 21, 53)(12, 44, 26, 58, 29, 61, 23, 55)(15, 47, 27, 59, 30, 62, 22, 54)(25, 57, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 75, 107, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 77, 109, 69, 101, 80, 112, 88, 120, 74, 106)(68, 100, 76, 108, 89, 121, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 90, 122, 78, 110, 91, 123, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 67)(13, 90)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 77)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.545
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.530 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y1^-1)^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-2, (Y2, Y3^-1), Y2^4 * Y3^2, Y2 * Y1^-1 * Y2^-3 * Y1^-1, (Y3 * Y2 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 9, 41, 22, 54, 18, 50)(13, 45, 27, 59, 19, 51, 23, 55)(14, 46, 26, 58, 16, 48, 28, 60)(17, 49, 24, 56, 20, 52, 25, 57)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 69, 101, 82, 114, 91, 123, 75, 107)(68, 100, 78, 110, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 93)(14, 85)(15, 92)(16, 67)(17, 86)(18, 89)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 82)(25, 73)(26, 79)(27, 96)(28, 75)(29, 83)(30, 77)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.548
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.531 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (R * Y2)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1^-1)^2, Y2 * Y1 * Y2^3 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 8, 40)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 16, 48, 20, 52, 10, 42)(12, 44, 21, 53, 17, 49, 24, 56)(13, 45, 22, 54, 29, 61, 25, 57)(15, 47, 23, 55, 30, 62, 27, 59)(26, 58, 32, 64, 28, 60, 31, 63)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 80, 112, 69, 101, 75, 107, 88, 120, 74, 106)(68, 100, 77, 109, 90, 122, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 91, 123, 78, 110, 89, 121, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 90)(13, 67)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 76)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.540
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (R * Y2)^2, (Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, Y2 * Y1 * Y2^-3 * Y1^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 18, 50, 10, 42)(4, 36, 14, 46, 19, 51, 9, 41)(6, 38, 16, 48, 20, 52, 8, 40)(12, 44, 24, 56, 17, 49, 21, 53)(13, 45, 23, 55, 29, 61, 25, 57)(15, 47, 22, 54, 30, 62, 27, 59)(26, 58, 31, 63, 28, 60, 32, 64)(65, 97, 67, 99, 76, 108, 84, 116, 71, 103, 82, 114, 81, 113, 70, 102)(66, 98, 72, 104, 85, 117, 75, 107, 69, 101, 80, 112, 88, 120, 74, 106)(68, 100, 77, 109, 90, 122, 94, 126, 83, 115, 93, 125, 92, 124, 79, 111)(73, 105, 86, 118, 95, 127, 89, 121, 78, 110, 91, 123, 96, 128, 87, 119)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 79)(7, 83)(8, 86)(9, 66)(10, 87)(11, 89)(12, 90)(13, 67)(14, 69)(15, 70)(16, 91)(17, 92)(18, 93)(19, 71)(20, 94)(21, 95)(22, 72)(23, 74)(24, 96)(25, 75)(26, 76)(27, 80)(28, 81)(29, 82)(30, 84)(31, 85)(32, 88)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.543
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^2 * Y3, Y1 * Y2^-4 * Y1, (R * Y2 * Y3)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 8, 40)(4, 36, 14, 46, 21, 53, 9, 41)(6, 38, 17, 49, 22, 54, 10, 42)(12, 44, 23, 55, 19, 51, 28, 60)(13, 45, 24, 56, 15, 47, 25, 57)(16, 48, 26, 58, 18, 50, 27, 59)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 75, 107, 92, 124, 74, 106)(68, 100, 79, 111, 93, 125, 82, 114, 85, 117, 77, 109, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 78, 110, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 89)(12, 93)(13, 67)(14, 69)(15, 84)(16, 86)(17, 90)(18, 70)(19, 94)(20, 79)(21, 71)(22, 80)(23, 95)(24, 72)(25, 75)(26, 81)(27, 74)(28, 96)(29, 76)(30, 83)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.542
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.534 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-4 * Y1^-1, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-2 * Y3 * Y1^2 * Y3, Y3 * Y2 * Y3 * Y1^2 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 11, 43, 20, 52, 10, 42)(4, 36, 14, 46, 21, 53, 9, 41)(6, 38, 17, 49, 22, 54, 8, 40)(12, 44, 28, 60, 19, 51, 23, 55)(13, 45, 27, 59, 15, 47, 26, 58)(16, 48, 25, 57, 18, 50, 24, 56)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 76, 108, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 75, 107, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 79, 111, 93, 125, 82, 114, 85, 117, 77, 109, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 78, 110, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 77)(4, 65)(5, 78)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 90)(12, 93)(13, 67)(14, 69)(15, 84)(16, 86)(17, 89)(18, 70)(19, 94)(20, 79)(21, 71)(22, 80)(23, 95)(24, 72)(25, 81)(26, 75)(27, 74)(28, 96)(29, 76)(30, 83)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.544
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.535 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, Y1^4, (Y2^-1 * Y1)^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, Y2^3 * Y1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 28, 60, 20, 52, 23, 55)(15, 47, 26, 58, 16, 48, 27, 59)(17, 49, 24, 56, 19, 51, 25, 57)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 77, 109, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 79, 111, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 90)(14, 93)(15, 85)(16, 67)(17, 70)(18, 89)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 77)(28, 96)(29, 84)(30, 78)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.547
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, (Y1^-1 * Y2^-1)^2, (Y3^-1, Y1^-1), Y3^4, Y1^4, (R * Y3)^2, (Y2, Y3^-1), (Y2 * Y1^-1)^2, (R * Y2)^2, (R * Y1)^2, Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2, Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1^-1 * Y2 * Y1^2 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 18, 50, 22, 54, 9, 41)(14, 46, 27, 59, 19, 51, 23, 55)(15, 47, 28, 60, 16, 48, 26, 58)(17, 49, 25, 57, 20, 52, 24, 56)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 78, 110, 86, 118, 72, 104, 85, 117, 83, 115, 70, 102)(66, 98, 73, 105, 87, 119, 77, 109, 69, 101, 82, 114, 91, 123, 75, 107)(68, 100, 79, 111, 93, 125, 84, 116, 71, 103, 80, 112, 94, 126, 81, 113)(74, 106, 88, 120, 95, 127, 92, 124, 76, 108, 89, 121, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 79)(4, 72)(5, 76)(6, 81)(7, 65)(8, 71)(9, 88)(10, 69)(11, 90)(12, 66)(13, 92)(14, 93)(15, 85)(16, 67)(17, 86)(18, 89)(19, 94)(20, 70)(21, 80)(22, 84)(23, 95)(24, 82)(25, 73)(26, 77)(27, 96)(28, 75)(29, 83)(30, 78)(31, 91)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 16, 4, 16, 4, 16, 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.546
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (R * Y1)^2, (Y2^-1, Y1^-1), (Y1^-1 * Y3)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2 * Y1^2 * Y3, Y2^-4 * Y1^-2, Y1^-2 * Y2 * Y3 * Y2^-1 * Y3, (R * Y2 * Y3)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 8, 40, 20, 52, 13, 45)(4, 36, 14, 46, 21, 53, 9, 41)(6, 38, 10, 42, 22, 54, 17, 49)(11, 43, 23, 55, 19, 51, 28, 60)(12, 44, 25, 57, 15, 47, 24, 56)(16, 48, 27, 59, 18, 50, 26, 58)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 75, 107, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 81, 113, 69, 101, 77, 109, 92, 124, 74, 106)(68, 100, 79, 111, 93, 125, 82, 114, 85, 117, 76, 108, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 78, 110, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 93)(12, 67)(13, 89)(14, 69)(15, 84)(16, 86)(17, 90)(18, 70)(19, 94)(20, 79)(21, 71)(22, 80)(23, 95)(24, 72)(25, 77)(26, 81)(27, 74)(28, 96)(29, 75)(30, 83)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.549
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.538 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y3^2, R^2, (Y1^-1 * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, Y1^4, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y2^4 * Y1^-1, Y2 * Y1^-1 * R * Y2^-1 * R * Y1^-1, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2, Y2^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 5, 37)(3, 35, 10, 42, 20, 52, 13, 45)(4, 36, 14, 46, 21, 53, 9, 41)(6, 38, 8, 40, 22, 54, 17, 49)(11, 43, 28, 60, 19, 51, 23, 55)(12, 44, 26, 58, 15, 47, 27, 59)(16, 48, 24, 56, 18, 50, 25, 57)(29, 61, 31, 63, 30, 62, 32, 64)(65, 97, 67, 99, 75, 107, 86, 118, 71, 103, 84, 116, 83, 115, 70, 102)(66, 98, 72, 104, 87, 119, 77, 109, 69, 101, 81, 113, 92, 124, 74, 106)(68, 100, 79, 111, 93, 125, 82, 114, 85, 117, 76, 108, 94, 126, 80, 112)(73, 105, 89, 121, 95, 127, 91, 123, 78, 110, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 73)(3, 76)(4, 65)(5, 78)(6, 82)(7, 85)(8, 88)(9, 66)(10, 91)(11, 93)(12, 67)(13, 90)(14, 69)(15, 84)(16, 86)(17, 89)(18, 70)(19, 94)(20, 79)(21, 71)(22, 80)(23, 95)(24, 72)(25, 81)(26, 77)(27, 74)(28, 96)(29, 75)(30, 83)(31, 87)(32, 92)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.550
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.539 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (R * Y1)^2, Y2^3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y1^-1 * Y3, (Y2^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 5, 37)(3, 35, 11, 43, 21, 53, 15, 47)(4, 36, 10, 42, 7, 39, 12, 44)(6, 38, 9, 41, 22, 54, 18, 50)(13, 45, 28, 60, 20, 52, 23, 55)(14, 46, 27, 59, 16, 48, 26, 58)(17, 49, 25, 57, 19, 51, 24, 56)(29, 61, 32, 64, 30, 62, 31, 63)(65, 97, 67, 99, 77, 109, 86, 118, 72, 104, 85, 117, 84, 116, 70, 102)(66, 98, 73, 105, 87, 119, 79, 111, 69, 101, 82, 114, 92, 124, 75, 107)(68, 100, 80, 112, 93, 125, 83, 115, 71, 103, 78, 110, 94, 126, 81, 113)(74, 106, 89, 121, 95, 127, 91, 123, 76, 108, 88, 120, 96, 128, 90, 122)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 83)(7, 65)(8, 71)(9, 88)(10, 69)(11, 91)(12, 66)(13, 93)(14, 85)(15, 90)(16, 67)(17, 70)(18, 89)(19, 86)(20, 94)(21, 80)(22, 81)(23, 95)(24, 82)(25, 73)(26, 75)(27, 79)(28, 96)(29, 84)(30, 77)(31, 92)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 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 E17.551
Graph:: bipartite
	v = 12 e = 64 f = 20
	degree seq :: [ 8^8, 16^4 ]

E17.540 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-3 * Y3, Y1^8, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 25, 57, 13, 45, 5, 37)(3, 35, 7, 39, 15, 47, 27, 59, 22, 54, 32, 64, 21, 53, 10, 42)(4, 36, 8, 40, 16, 48, 28, 60, 19, 51, 31, 63, 24, 56, 12, 44)(9, 41, 17, 49, 29, 61, 23, 55, 11, 43, 18, 50, 30, 62, 20, 52)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 75, 107)(69, 101, 74, 106)(70, 102, 79, 111)(72, 104, 82, 114)(73, 105, 83, 115)(76, 108, 87, 119)(77, 109, 85, 117)(78, 110, 91, 123)(80, 112, 94, 126)(81, 113, 95, 127)(84, 116, 92, 124)(86, 118, 90, 122)(88, 120, 93, 125)(89, 121, 96, 128)
	L = (1, 68)(2, 72)(3, 73)(4, 65)(5, 76)(6, 80)(7, 81)(8, 66)(9, 67)(10, 84)(11, 86)(12, 69)(13, 88)(14, 92)(15, 93)(16, 70)(17, 71)(18, 96)(19, 90)(20, 74)(21, 94)(22, 75)(23, 91)(24, 77)(25, 95)(26, 83)(27, 87)(28, 78)(29, 79)(30, 85)(31, 89)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.531
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.541 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2, Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^2 * Y2 * Y1^-2, (Y1^-2 * Y2 * Y3)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 23, 55, 15, 47, 5, 37)(3, 35, 9, 41, 17, 49, 14, 46, 21, 53, 7, 39, 19, 51, 11, 43)(4, 36, 8, 40, 18, 50, 29, 61, 24, 56, 32, 64, 27, 59, 13, 45)(10, 42, 22, 54, 30, 62, 26, 58, 12, 44, 20, 52, 31, 63, 25, 57)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 76, 108)(69, 101, 78, 110)(70, 102, 81, 113)(72, 104, 86, 118)(73, 105, 87, 119)(74, 106, 88, 120)(75, 107, 80, 112)(77, 109, 89, 121)(79, 111, 83, 115)(82, 114, 95, 127)(84, 116, 96, 128)(85, 117, 92, 124)(90, 122, 93, 125)(91, 123, 94, 126)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 77)(6, 82)(7, 84)(8, 66)(9, 86)(10, 67)(11, 89)(12, 85)(13, 69)(14, 90)(15, 91)(16, 93)(17, 94)(18, 70)(19, 95)(20, 71)(21, 76)(22, 73)(23, 96)(24, 92)(25, 75)(26, 78)(27, 79)(28, 88)(29, 80)(30, 81)(31, 83)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.528
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.542 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1^-3, (Y1^-1 * R * Y2)^2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1^-2 * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 27, 59, 17, 49, 5, 37)(3, 35, 9, 41, 19, 51, 15, 47, 23, 55, 7, 39, 21, 53, 11, 43)(4, 36, 12, 44, 20, 52, 16, 48, 26, 58, 8, 40, 24, 56, 14, 46)(10, 42, 22, 54, 31, 63, 29, 61, 13, 45, 25, 57, 32, 64, 28, 60)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 77, 109)(69, 101, 79, 111)(70, 102, 83, 115)(72, 104, 89, 121)(73, 105, 91, 123)(74, 106, 90, 122)(75, 107, 82, 114)(76, 108, 86, 118)(78, 110, 92, 124)(80, 112, 93, 125)(81, 113, 85, 117)(84, 116, 96, 128)(87, 119, 94, 126)(88, 120, 95, 127)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 80)(6, 84)(7, 86)(8, 66)(9, 89)(10, 67)(11, 93)(12, 91)(13, 87)(14, 82)(15, 92)(16, 69)(17, 88)(18, 78)(19, 95)(20, 70)(21, 96)(22, 71)(23, 77)(24, 81)(25, 73)(26, 94)(27, 76)(28, 79)(29, 75)(30, 90)(31, 83)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.533
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.543 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y1^-1 * Y2 * Y1^2 * Y3 * Y2 * Y3 * Y1^-1, (Y3 * Y2)^4, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 14, 46, 26, 58, 25, 57, 13, 45, 5, 37)(3, 35, 9, 41, 19, 51, 32, 64, 23, 55, 27, 59, 15, 47, 7, 39)(4, 36, 8, 40, 16, 48, 28, 60, 21, 53, 31, 63, 24, 56, 12, 44)(10, 42, 20, 52, 30, 62, 18, 50, 11, 43, 22, 54, 29, 61, 17, 49)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 75, 107)(69, 101, 73, 105)(70, 102, 79, 111)(72, 104, 82, 114)(74, 106, 85, 117)(76, 108, 86, 118)(77, 109, 83, 115)(78, 110, 91, 123)(80, 112, 94, 126)(81, 113, 95, 127)(84, 116, 92, 124)(87, 119, 90, 122)(88, 120, 93, 125)(89, 121, 96, 128)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 76)(6, 80)(7, 81)(8, 66)(9, 84)(10, 67)(11, 87)(12, 69)(13, 88)(14, 92)(15, 93)(16, 70)(17, 71)(18, 96)(19, 94)(20, 73)(21, 90)(22, 91)(23, 75)(24, 77)(25, 95)(26, 85)(27, 86)(28, 78)(29, 79)(30, 83)(31, 89)(32, 82)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.532
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.544 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2, (Y3 * Y2 * Y1^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 26, 58, 15, 47, 5, 37)(3, 35, 9, 41, 23, 55, 32, 64, 27, 59, 29, 61, 17, 49, 7, 39)(4, 36, 11, 43, 18, 50, 14, 46, 22, 54, 8, 40, 20, 52, 13, 45)(10, 42, 25, 57, 31, 63, 19, 51, 12, 44, 24, 56, 30, 62, 21, 53)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 76, 108)(69, 101, 73, 105)(70, 102, 81, 113)(72, 104, 85, 117)(74, 106, 86, 118)(75, 107, 83, 115)(77, 109, 88, 120)(78, 110, 89, 121)(79, 111, 87, 119)(80, 112, 93, 125)(82, 114, 95, 127)(84, 116, 94, 126)(90, 122, 96, 128)(91, 123, 92, 124)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 78)(6, 82)(7, 83)(8, 66)(9, 88)(10, 67)(11, 90)(12, 91)(13, 80)(14, 69)(15, 84)(16, 77)(17, 94)(18, 70)(19, 71)(20, 79)(21, 96)(22, 92)(23, 95)(24, 73)(25, 93)(26, 75)(27, 76)(28, 86)(29, 89)(30, 81)(31, 87)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.534
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.545 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y3 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2 * Y1^-2)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-2, (Y1^-1 * Y3 * Y2)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3)^2, (Y3 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 25, 57, 15, 47, 5, 37)(3, 35, 9, 41, 21, 53, 7, 39, 19, 51, 14, 46, 17, 49, 11, 43)(4, 36, 8, 40, 18, 50, 29, 61, 24, 56, 32, 64, 27, 59, 13, 45)(10, 42, 23, 55, 31, 63, 20, 52, 12, 44, 26, 58, 30, 62, 22, 54)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 76, 108)(69, 101, 78, 110)(70, 102, 81, 113)(72, 104, 86, 118)(73, 105, 80, 112)(74, 106, 88, 120)(75, 107, 89, 121)(77, 109, 87, 119)(79, 111, 85, 117)(82, 114, 95, 127)(83, 115, 92, 124)(84, 116, 96, 128)(90, 122, 93, 125)(91, 123, 94, 126)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 77)(6, 82)(7, 84)(8, 66)(9, 87)(10, 67)(11, 86)(12, 83)(13, 69)(14, 90)(15, 91)(16, 93)(17, 94)(18, 70)(19, 76)(20, 71)(21, 95)(22, 75)(23, 73)(24, 92)(25, 96)(26, 78)(27, 79)(28, 88)(29, 80)(30, 81)(31, 85)(32, 89)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 8, 16, 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.529
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.546 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^-4, (Y3^-1, Y1^-1), Y3^4, (Y2 * Y1^-1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 14, 46, 24, 56, 16, 48, 5, 37)(3, 35, 11, 43, 25, 57, 32, 64, 28, 60, 29, 61, 19, 51, 8, 40)(4, 36, 9, 41, 20, 52, 17, 49, 6, 38, 10, 42, 21, 53, 15, 47)(12, 44, 26, 58, 31, 63, 23, 55, 13, 45, 27, 59, 30, 62, 22, 54)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 75, 107)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 92, 124)(79, 111, 90, 122)(80, 112, 89, 121)(81, 113, 91, 123)(82, 114, 93, 125)(84, 116, 94, 126)(85, 117, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 78)(5, 79)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 90)(12, 92)(13, 67)(14, 70)(15, 82)(16, 85)(17, 69)(18, 81)(19, 94)(20, 80)(21, 71)(22, 96)(23, 72)(24, 74)(25, 95)(26, 93)(27, 75)(28, 77)(29, 91)(30, 89)(31, 83)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.536
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.547 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x D8) : C2 (small group id <32, 43>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y3^4, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, Y1^-2 * Y3^-2 * Y1^-2, (Y1^-1 * Y3^-1 * Y2)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 18, 50, 14, 46, 24, 56, 17, 49, 5, 37)(3, 35, 11, 43, 25, 57, 32, 64, 28, 60, 29, 61, 19, 51, 8, 40)(4, 36, 10, 42, 20, 52, 16, 48, 6, 38, 9, 41, 21, 53, 15, 47)(12, 44, 27, 59, 31, 63, 22, 54, 13, 45, 26, 58, 30, 62, 23, 55)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 75, 107)(70, 102, 77, 109)(71, 103, 83, 115)(73, 105, 86, 118)(74, 106, 87, 119)(78, 110, 92, 124)(79, 111, 91, 123)(80, 112, 90, 122)(81, 113, 89, 121)(82, 114, 93, 125)(84, 116, 94, 126)(85, 117, 95, 127)(88, 120, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 78)(5, 80)(6, 65)(7, 84)(8, 86)(9, 88)(10, 66)(11, 90)(12, 92)(13, 67)(14, 70)(15, 69)(16, 82)(17, 85)(18, 79)(19, 94)(20, 81)(21, 71)(22, 96)(23, 72)(24, 74)(25, 95)(26, 93)(27, 75)(28, 77)(29, 91)(30, 89)(31, 83)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.535
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.548 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 42>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y2 * Y3 * Y2 * Y3^-1, Y3^4, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^2 * Y1^4, Y2 * Y1^-1 * Y2 * Y3^-2 * Y1^-1, Y2 * Y1 * Y2 * Y3^-2 * Y1, (Y3^-1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 28, 60, 18, 50, 5, 37)(3, 35, 11, 43, 26, 58, 8, 40, 24, 56, 17, 49, 21, 53, 13, 45)(4, 36, 9, 41, 22, 54, 19, 51, 6, 38, 10, 42, 23, 55, 16, 48)(12, 44, 29, 61, 32, 64, 25, 57, 14, 46, 30, 62, 31, 63, 27, 59)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 89, 121)(74, 106, 91, 123)(75, 107, 84, 116)(77, 109, 92, 124)(79, 111, 88, 120)(80, 112, 94, 126)(82, 114, 90, 122)(83, 115, 93, 125)(86, 118, 95, 127)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 80)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 93)(12, 88)(13, 91)(14, 67)(15, 70)(16, 84)(17, 94)(18, 87)(19, 69)(20, 83)(21, 95)(22, 82)(23, 71)(24, 78)(25, 77)(26, 96)(27, 72)(28, 74)(29, 81)(30, 75)(31, 90)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.530
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.549 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, Y2 * Y1^-1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1, Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y1^-2 * Y3, (Y3 * Y1^-1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 16, 48, 28, 60, 26, 58, 15, 47, 5, 37)(3, 35, 7, 39, 17, 49, 29, 61, 27, 59, 32, 64, 25, 57, 10, 42)(4, 36, 11, 43, 18, 50, 14, 46, 22, 54, 8, 40, 20, 52, 13, 45)(9, 41, 21, 53, 30, 62, 24, 56, 12, 44, 19, 51, 31, 63, 23, 55)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 76, 108)(69, 101, 74, 106)(70, 102, 81, 113)(72, 104, 85, 117)(73, 105, 86, 118)(75, 107, 83, 115)(77, 109, 88, 120)(78, 110, 87, 119)(79, 111, 89, 121)(80, 112, 93, 125)(82, 114, 95, 127)(84, 116, 94, 126)(90, 122, 96, 128)(91, 123, 92, 124)
	L = (1, 68)(2, 72)(3, 73)(4, 65)(5, 78)(6, 82)(7, 83)(8, 66)(9, 67)(10, 88)(11, 90)(12, 91)(13, 80)(14, 69)(15, 84)(16, 77)(17, 94)(18, 70)(19, 71)(20, 79)(21, 96)(22, 92)(23, 93)(24, 74)(25, 95)(26, 75)(27, 76)(28, 86)(29, 87)(30, 81)(31, 89)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.537
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-3, Y3 * Y2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-3, Y2 * Y3 * R * Y2 * R * Y3, Y3 * Y1^2 * Y3 * Y1^-2, (Y1 * Y2)^4 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 6, 38, 18, 50, 30, 62, 29, 61, 17, 49, 5, 37)(3, 35, 9, 41, 23, 55, 7, 39, 21, 53, 15, 47, 19, 51, 11, 43)(4, 36, 12, 44, 20, 52, 16, 48, 26, 58, 8, 40, 24, 56, 14, 46)(10, 42, 28, 60, 32, 64, 25, 57, 13, 45, 27, 59, 31, 63, 22, 54)(65, 97, 67, 99)(66, 98, 71, 103)(68, 100, 77, 109)(69, 101, 79, 111)(70, 102, 83, 115)(72, 104, 89, 121)(73, 105, 82, 114)(74, 106, 90, 122)(75, 107, 93, 125)(76, 108, 86, 118)(78, 110, 92, 124)(80, 112, 91, 123)(81, 113, 87, 119)(84, 116, 96, 128)(85, 117, 94, 126)(88, 120, 95, 127)
	L = (1, 68)(2, 72)(3, 74)(4, 65)(5, 80)(6, 84)(7, 86)(8, 66)(9, 91)(10, 67)(11, 89)(12, 93)(13, 85)(14, 82)(15, 92)(16, 69)(17, 88)(18, 78)(19, 95)(20, 70)(21, 77)(22, 71)(23, 96)(24, 81)(25, 75)(26, 94)(27, 73)(28, 79)(29, 76)(30, 90)(31, 83)(32, 87)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.538
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x Q8) : C2 (small group id <32, 44>)
Aut   = (C2 x QD16) : C2 (small group id <64, 258>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1, (R * Y1)^2, (Y2 * R)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2, Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, Y2 * Y1^3 * Y2 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 7, 39, 20, 52, 15, 47, 28, 60, 19, 51, 5, 37)(3, 35, 11, 43, 26, 58, 8, 40, 24, 56, 17, 49, 21, 53, 13, 45)(4, 36, 10, 42, 22, 54, 18, 50, 6, 38, 9, 41, 23, 55, 16, 48)(12, 44, 30, 62, 32, 64, 27, 59, 14, 46, 29, 61, 31, 63, 25, 57)(65, 97, 67, 99)(66, 98, 72, 104)(68, 100, 76, 108)(69, 101, 81, 113)(70, 102, 78, 110)(71, 103, 85, 117)(73, 105, 89, 121)(74, 106, 91, 123)(75, 107, 84, 116)(77, 109, 92, 124)(79, 111, 88, 120)(80, 112, 93, 125)(82, 114, 94, 126)(83, 115, 90, 122)(86, 118, 95, 127)(87, 119, 96, 128)
	L = (1, 68)(2, 73)(3, 76)(4, 79)(5, 82)(6, 65)(7, 86)(8, 89)(9, 92)(10, 66)(11, 93)(12, 88)(13, 91)(14, 67)(15, 70)(16, 69)(17, 94)(18, 84)(19, 87)(20, 80)(21, 95)(22, 83)(23, 71)(24, 78)(25, 77)(26, 96)(27, 72)(28, 74)(29, 81)(30, 75)(31, 90)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 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 E17.539
Graph:: simple bipartite
	v = 20 e = 64 f = 12
	degree seq :: [ 4^16, 16^4 ]

E17.552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y2^-2 * Y3^2, Y2^-2 * Y1^-2, (Y2^-1, Y3^-1), Y3 * Y1^2 * Y3, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y1^-1), (Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, Y3^8, Y2^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 28, 60, 13, 45, 5, 37)(3, 35, 9, 41, 6, 38, 11, 43, 21, 53, 31, 63, 27, 59, 15, 47)(4, 36, 17, 49, 7, 39, 18, 50, 22, 54, 10, 42, 25, 57, 12, 44)(14, 46, 26, 58, 16, 48, 29, 61, 19, 51, 23, 55, 32, 64, 24, 56)(65, 97, 67, 99, 77, 109, 91, 123, 94, 126, 85, 117, 72, 104, 70, 102)(66, 98, 73, 105, 69, 101, 79, 111, 92, 124, 95, 127, 84, 116, 75, 107)(68, 100, 78, 110, 89, 121, 96, 128, 86, 118, 83, 115, 71, 103, 80, 112)(74, 106, 87, 119, 82, 114, 93, 125, 81, 113, 90, 122, 76, 108, 88, 120)
	L = (1, 68)(2, 74)(3, 78)(4, 77)(5, 82)(6, 80)(7, 65)(8, 71)(9, 87)(10, 69)(11, 88)(12, 66)(13, 89)(14, 91)(15, 93)(16, 67)(17, 84)(18, 92)(19, 70)(20, 76)(21, 83)(22, 72)(23, 79)(24, 73)(25, 94)(26, 75)(27, 96)(28, 81)(29, 95)(30, 86)(31, 90)(32, 85)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.527
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C2 (small group id <32, 38>)
Aut   = (C2 x D16) : C2 (small group id <64, 257>)
|r| :: 2
Presentation :: [ R^2, Y1^2 * Y3^-2, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (Y3, Y2^-1), (Y1^-1, Y3^-1), (Y3 * Y2^-1)^2, Y2^2 * Y1^-2, (R * Y2)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-3, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y1^8 ]
Map:: non-degenerate
	R = (1, 33, 2, 34, 8, 40, 20, 52, 30, 62, 27, 59, 17, 49, 5, 37)(3, 35, 13, 45, 21, 53, 11, 43, 24, 56, 9, 41, 6, 38, 15, 47)(4, 36, 10, 42, 22, 54, 31, 63, 29, 61, 18, 50, 7, 39, 12, 44)(14, 46, 26, 58, 32, 64, 25, 57, 19, 51, 23, 55, 16, 48, 28, 60)(65, 97, 67, 99, 72, 104, 85, 117, 94, 126, 88, 120, 81, 113, 70, 102)(66, 98, 73, 105, 84, 116, 79, 111, 91, 123, 77, 109, 69, 101, 75, 107)(68, 100, 78, 110, 86, 118, 96, 128, 93, 125, 83, 115, 71, 103, 80, 112)(74, 106, 87, 119, 95, 127, 92, 124, 82, 114, 90, 122, 76, 108, 89, 121)
	L = (1, 68)(2, 74)(3, 78)(4, 72)(5, 76)(6, 80)(7, 65)(8, 86)(9, 87)(10, 84)(11, 89)(12, 66)(13, 90)(14, 85)(15, 92)(16, 67)(17, 71)(18, 69)(19, 70)(20, 95)(21, 96)(22, 94)(23, 79)(24, 83)(25, 73)(26, 75)(27, 82)(28, 77)(29, 81)(30, 93)(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) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.526
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 34, 34})
Quotient :: dipole
Aut^+ = C34 (small group id <34, 2>)
Aut   = D68 (small group id <68, 4>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^17 * Y1, (Y3 * Y2^-1)^34 ]
Map::
	R = (1, 35, 2, 36)(3, 37, 5, 39)(4, 38, 6, 40)(7, 41, 9, 43)(8, 42, 10, 44)(11, 45, 13, 47)(12, 46, 14, 48)(15, 49, 17, 51)(16, 50, 18, 52)(19, 53, 21, 55)(20, 54, 22, 56)(23, 57, 25, 59)(24, 58, 26, 60)(27, 61, 29, 63)(28, 62, 30, 64)(31, 65, 33, 67)(32, 66, 34, 68)(69, 103, 71, 105, 75, 109, 79, 113, 83, 117, 87, 121, 91, 125, 95, 129, 99, 133, 102, 136, 98, 132, 94, 128, 90, 124, 86, 120, 82, 116, 78, 112, 74, 108, 70, 104, 73, 107, 77, 111, 81, 115, 85, 119, 89, 123, 93, 127, 97, 131, 101, 135, 100, 134, 96, 130, 92, 126, 88, 122, 84, 118, 80, 114, 76, 110, 72, 106)
	L = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 4, 68, 4, 68 ), ( 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 18 e = 68 f = 18
	degree seq :: [ 4^17, 68 ]

E17.555 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^17, (T2^-1 * T1^-1)^35 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 35, 32, 28, 24, 20, 16, 12, 8, 4, 2, 6, 10, 14, 18, 22, 26, 30, 34, 33, 29, 25, 21, 17, 13, 9, 5)(36, 37, 38, 41, 42, 45, 46, 49, 50, 53, 54, 57, 58, 61, 62, 65, 66, 69, 70, 68, 67, 64, 63, 60, 59, 56, 55, 52, 51, 48, 47, 44, 43, 40, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.565
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.556 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^2, (F * T2)^2, (F * T1)^2, T2^-17 * T1 ]
Map:: non-degenerate
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 34, 30, 26, 22, 18, 14, 10, 6, 2, 4, 8, 12, 16, 20, 24, 28, 32, 35, 33, 29, 25, 21, 17, 13, 9, 5)(36, 37, 40, 41, 44, 45, 48, 49, 52, 53, 56, 57, 60, 61, 64, 65, 68, 69, 70, 66, 67, 62, 63, 58, 59, 54, 55, 50, 51, 46, 47, 42, 43, 38, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.562
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.557 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^11, (T1^-1 * T2^-1)^35 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 34, 28, 22, 16, 10, 4, 6, 12, 18, 24, 30, 35, 29, 23, 17, 11, 5)(36, 37, 41, 38, 42, 47, 44, 48, 53, 50, 54, 59, 56, 60, 65, 62, 66, 70, 68, 69, 64, 67, 63, 58, 61, 57, 52, 55, 51, 46, 49, 45, 40, 43, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.566
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.558 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-11 ]
Map:: non-degenerate
	R = (1, 3, 9, 15, 21, 27, 33, 30, 24, 18, 12, 6, 4, 10, 16, 22, 28, 34, 32, 26, 20, 14, 8, 2, 7, 13, 19, 25, 31, 35, 29, 23, 17, 11, 5)(36, 37, 41, 40, 43, 47, 46, 49, 53, 52, 55, 59, 58, 61, 65, 64, 67, 68, 70, 69, 62, 66, 63, 56, 60, 57, 50, 54, 51, 44, 48, 45, 38, 42, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.563
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.559 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-3 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^-8, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 28, 20, 12, 4, 10, 18, 26, 34, 30, 22, 14, 6, 11, 19, 27, 35, 32, 24, 16, 8, 2, 7, 15, 23, 31, 29, 21, 13, 5)(36, 37, 41, 47, 40, 43, 49, 55, 48, 51, 57, 63, 56, 59, 65, 68, 64, 67, 69, 60, 66, 70, 61, 52, 58, 62, 53, 44, 50, 54, 45, 38, 42, 46, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.564
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.560 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^2 * T1 * T2 * T1^2 * T2, T1^-8 * T2, T2^2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 22, 32, 35, 28, 16, 6, 15, 24, 12, 4, 10, 20, 30, 33, 26, 29, 18, 8, 2, 7, 17, 23, 11, 21, 31, 34, 27, 14, 25, 13, 5)(36, 37, 41, 49, 61, 67, 56, 45, 38, 42, 50, 60, 64, 70, 66, 55, 44, 52, 59, 48, 53, 63, 69, 65, 54, 58, 47, 40, 43, 51, 62, 68, 57, 46, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.567
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.561 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {35, 35, 35})
Quotient :: edge
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2 * T1 * T2^2, T1^-1 * T2 * T1^-10, T1^-1 * T2^16 ]
Map:: non-degenerate
	R = (1, 3, 9, 11, 18, 23, 25, 30, 35, 33, 26, 28, 21, 14, 16, 8, 2, 7, 12, 4, 10, 17, 19, 24, 29, 31, 32, 34, 27, 20, 22, 15, 6, 13, 5)(36, 37, 41, 49, 55, 61, 67, 65, 59, 53, 45, 38, 42, 48, 51, 57, 63, 69, 70, 64, 58, 52, 44, 47, 40, 43, 50, 56, 62, 68, 66, 60, 54, 46, 39)
	L = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.568
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.562 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-1, (F * T2)^2, (F * T1)^2, T1^35, T2^35, (T2^-1 * T1^-1)^35 ]
Map:: non-degenerate
	R = (1, 36, 2, 37, 6, 41, 14, 49, 26, 61, 25, 60, 32, 67, 35, 70, 21, 56, 10, 45, 3, 38, 7, 42, 15, 50, 27, 62, 24, 59, 13, 48, 18, 53, 30, 65, 34, 69, 20, 55, 9, 44, 17, 52, 29, 64, 23, 58, 12, 47, 5, 40, 8, 43, 16, 51, 28, 63, 33, 68, 19, 54, 31, 66, 22, 57, 11, 46, 4, 39)
	L = (1, 37)(2, 41)(3, 42)(4, 36)(5, 43)(6, 49)(7, 50)(8, 51)(9, 52)(10, 38)(11, 39)(12, 40)(13, 53)(14, 61)(15, 62)(16, 63)(17, 64)(18, 65)(19, 66)(20, 44)(21, 45)(22, 46)(23, 47)(24, 48)(25, 67)(26, 60)(27, 59)(28, 68)(29, 58)(30, 69)(31, 57)(32, 70)(33, 54)(34, 55)(35, 56)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.556
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.563 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-2, (F * T1)^2, (F * T2)^2, T1 * T2^17, (T2^-1 * T1^-1)^35 ]
Map:: non-degenerate
	R = (1, 36, 3, 38, 7, 42, 11, 46, 15, 50, 19, 54, 23, 58, 27, 62, 31, 66, 35, 70, 32, 67, 28, 63, 24, 59, 20, 55, 16, 51, 12, 47, 8, 43, 4, 39, 2, 37, 6, 41, 10, 45, 14, 49, 18, 53, 22, 57, 26, 61, 30, 65, 34, 69, 33, 68, 29, 64, 25, 60, 21, 56, 17, 52, 13, 48, 9, 44, 5, 40)
	L = (1, 37)(2, 38)(3, 41)(4, 36)(5, 39)(6, 42)(7, 45)(8, 40)(9, 43)(10, 46)(11, 49)(12, 44)(13, 47)(14, 50)(15, 53)(16, 48)(17, 51)(18, 54)(19, 57)(20, 52)(21, 55)(22, 58)(23, 61)(24, 56)(25, 59)(26, 62)(27, 65)(28, 60)(29, 63)(30, 66)(31, 69)(32, 64)(33, 67)(34, 70)(35, 68)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.558
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.564 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2 * T1^-3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-1 * T2^11, (T1^-1 * T2^-1)^35 ]
Map:: non-degenerate
	R = (1, 36, 3, 38, 9, 44, 15, 50, 21, 56, 27, 62, 33, 68, 32, 67, 26, 61, 20, 55, 14, 49, 8, 43, 2, 37, 7, 42, 13, 48, 19, 54, 25, 60, 31, 66, 34, 69, 28, 63, 22, 57, 16, 51, 10, 45, 4, 39, 6, 41, 12, 47, 18, 53, 24, 59, 30, 65, 35, 70, 29, 64, 23, 58, 17, 52, 11, 46, 5, 40)
	L = (1, 37)(2, 41)(3, 42)(4, 36)(5, 43)(6, 38)(7, 47)(8, 39)(9, 48)(10, 40)(11, 49)(12, 44)(13, 53)(14, 45)(15, 54)(16, 46)(17, 55)(18, 50)(19, 59)(20, 51)(21, 60)(22, 52)(23, 61)(24, 56)(25, 65)(26, 57)(27, 66)(28, 58)(29, 67)(30, 62)(31, 70)(32, 63)(33, 69)(34, 64)(35, 68)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.559
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.565 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T1^-2 * T2^-1 * T1^-1, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-11 ]
Map:: non-degenerate
	R = (1, 36, 3, 38, 9, 44, 15, 50, 21, 56, 27, 62, 33, 68, 30, 65, 24, 59, 18, 53, 12, 47, 6, 41, 4, 39, 10, 45, 16, 51, 22, 57, 28, 63, 34, 69, 32, 67, 26, 61, 20, 55, 14, 49, 8, 43, 2, 37, 7, 42, 13, 48, 19, 54, 25, 60, 31, 66, 35, 70, 29, 64, 23, 58, 17, 52, 11, 46, 5, 40)
	L = (1, 37)(2, 41)(3, 42)(4, 36)(5, 43)(6, 40)(7, 39)(8, 47)(9, 48)(10, 38)(11, 49)(12, 46)(13, 45)(14, 53)(15, 54)(16, 44)(17, 55)(18, 52)(19, 51)(20, 59)(21, 60)(22, 50)(23, 61)(24, 58)(25, 57)(26, 65)(27, 66)(28, 56)(29, 67)(30, 64)(31, 63)(32, 68)(33, 70)(34, 62)(35, 69)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.555
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.566 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-3 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^-8, T1 * T2^-3 * T1 * T2^-2 * T1 * T2^-3 ]
Map:: non-degenerate
	R = (1, 36, 3, 38, 9, 44, 17, 52, 25, 60, 33, 68, 28, 63, 20, 55, 12, 47, 4, 39, 10, 45, 18, 53, 26, 61, 34, 69, 30, 65, 22, 57, 14, 49, 6, 41, 11, 46, 19, 54, 27, 62, 35, 70, 32, 67, 24, 59, 16, 51, 8, 43, 2, 37, 7, 42, 15, 50, 23, 58, 31, 66, 29, 64, 21, 56, 13, 48, 5, 40)
	L = (1, 37)(2, 41)(3, 42)(4, 36)(5, 43)(6, 47)(7, 46)(8, 49)(9, 50)(10, 38)(11, 39)(12, 40)(13, 51)(14, 55)(15, 54)(16, 57)(17, 58)(18, 44)(19, 45)(20, 48)(21, 59)(22, 63)(23, 62)(24, 65)(25, 66)(26, 52)(27, 53)(28, 56)(29, 67)(30, 68)(31, 70)(32, 69)(33, 64)(34, 60)(35, 61)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.557
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.567 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1 * T2^3, T1^-8 * T2^-1 * T1^-1, T1^3 * T2^-1 * T1^4 * T2^-2 * T1, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 36, 3, 38, 9, 44, 12, 47, 4, 39, 10, 45, 18, 53, 21, 56, 11, 46, 19, 54, 26, 61, 29, 64, 20, 55, 27, 62, 34, 69, 30, 65, 28, 63, 35, 70, 32, 67, 22, 57, 31, 66, 33, 68, 24, 59, 14, 49, 23, 58, 25, 60, 16, 51, 6, 41, 15, 50, 17, 52, 8, 43, 2, 37, 7, 42, 13, 48, 5, 40)
	L = (1, 37)(2, 41)(3, 42)(4, 36)(5, 43)(6, 49)(7, 50)(8, 51)(9, 48)(10, 38)(11, 39)(12, 40)(13, 52)(14, 57)(15, 58)(16, 59)(17, 60)(18, 44)(19, 45)(20, 46)(21, 47)(22, 65)(23, 66)(24, 67)(25, 68)(26, 53)(27, 54)(28, 55)(29, 56)(30, 64)(31, 63)(32, 69)(33, 70)(34, 61)(35, 62)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.560
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.568 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {35, 35, 35})
Quotient :: loop
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ F^2, T2^-3 * T1^-1, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1^-11 ]
Map:: non-degenerate
	R = (1, 36, 3, 38, 9, 44, 4, 39, 10, 45, 15, 50, 11, 46, 16, 51, 21, 56, 17, 52, 22, 57, 27, 62, 23, 58, 28, 63, 33, 68, 29, 64, 34, 69, 30, 65, 35, 70, 32, 67, 24, 59, 31, 66, 26, 61, 18, 53, 25, 60, 20, 55, 12, 47, 19, 54, 14, 49, 6, 41, 13, 48, 8, 43, 2, 37, 7, 42, 5, 40)
	L = (1, 37)(2, 41)(3, 42)(4, 36)(5, 43)(6, 47)(7, 48)(8, 49)(9, 40)(10, 38)(11, 39)(12, 53)(13, 54)(14, 55)(15, 44)(16, 45)(17, 46)(18, 59)(19, 60)(20, 61)(21, 50)(22, 51)(23, 52)(24, 65)(25, 66)(26, 67)(27, 56)(28, 57)(29, 58)(30, 68)(31, 70)(32, 69)(33, 62)(34, 63)(35, 64)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.561
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.569 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y2^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y3^17 * Y2, Y2 * Y1^-17 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 10, 45, 14, 49, 18, 53, 22, 57, 26, 61, 30, 65, 34, 69, 32, 67, 28, 63, 24, 59, 20, 55, 16, 51, 12, 47, 8, 43, 3, 38, 5, 40, 7, 42, 11, 46, 15, 50, 19, 54, 23, 58, 27, 62, 31, 66, 35, 70, 33, 68, 29, 64, 25, 60, 21, 56, 17, 52, 13, 48, 9, 44, 4, 39)(71, 106, 73, 108, 74, 109, 78, 113, 79, 114, 82, 117, 83, 118, 86, 121, 87, 122, 90, 125, 91, 126, 94, 129, 95, 130, 98, 133, 99, 134, 102, 137, 103, 138, 104, 139, 105, 140, 100, 135, 101, 136, 96, 131, 97, 132, 92, 127, 93, 128, 88, 123, 89, 124, 84, 119, 85, 120, 80, 115, 81, 116, 76, 111, 77, 112, 72, 107, 75, 110)
	L = (1, 74)(2, 71)(3, 78)(4, 79)(5, 73)(6, 72)(7, 75)(8, 82)(9, 83)(10, 76)(11, 77)(12, 86)(13, 87)(14, 80)(15, 81)(16, 90)(17, 91)(18, 84)(19, 85)(20, 94)(21, 95)(22, 88)(23, 89)(24, 98)(25, 99)(26, 92)(27, 93)(28, 102)(29, 103)(30, 96)(31, 97)(32, 104)(33, 105)(34, 100)(35, 101)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.576
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.570 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y2^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2^-1, Y1^-1), Y2 * Y1^16 * Y3^-1, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 10, 45, 14, 49, 18, 53, 22, 57, 26, 61, 30, 65, 34, 69, 33, 68, 29, 64, 25, 60, 21, 56, 17, 52, 13, 48, 9, 44, 5, 40, 3, 38, 7, 42, 11, 46, 15, 50, 19, 54, 23, 58, 27, 62, 31, 66, 35, 70, 32, 67, 28, 63, 24, 59, 20, 55, 16, 51, 12, 47, 8, 43, 4, 39)(71, 106, 73, 108, 72, 107, 77, 112, 76, 111, 81, 116, 80, 115, 85, 120, 84, 119, 89, 124, 88, 123, 93, 128, 92, 127, 97, 132, 96, 131, 101, 136, 100, 135, 105, 140, 104, 139, 102, 137, 103, 138, 98, 133, 99, 134, 94, 129, 95, 130, 90, 125, 91, 126, 86, 121, 87, 122, 82, 117, 83, 118, 78, 113, 79, 114, 74, 109, 75, 110)
	L = (1, 74)(2, 71)(3, 75)(4, 78)(5, 79)(6, 72)(7, 73)(8, 82)(9, 83)(10, 76)(11, 77)(12, 86)(13, 87)(14, 80)(15, 81)(16, 90)(17, 91)(18, 84)(19, 85)(20, 94)(21, 95)(22, 88)(23, 89)(24, 98)(25, 99)(26, 92)(27, 93)(28, 102)(29, 103)(30, 96)(31, 97)(32, 105)(33, 104)(34, 100)(35, 101)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.580
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.571 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y2^-3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y3^-3 * Y2^-1 * Y1^-3 * Y2, Y1^5 * Y2^-2 * Y3^-6, Y1^-1 * Y2^-1 * Y1^-11, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 12, 47, 18, 53, 24, 59, 30, 65, 33, 68, 27, 62, 21, 56, 15, 50, 9, 44, 5, 40, 8, 43, 14, 49, 20, 55, 26, 61, 32, 67, 34, 69, 28, 63, 22, 57, 16, 51, 10, 45, 3, 38, 7, 42, 13, 48, 19, 54, 25, 60, 31, 66, 35, 70, 29, 64, 23, 58, 17, 52, 11, 46, 4, 39)(71, 106, 73, 108, 79, 114, 74, 109, 80, 115, 85, 120, 81, 116, 86, 121, 91, 126, 87, 122, 92, 127, 97, 132, 93, 128, 98, 133, 103, 138, 99, 134, 104, 139, 100, 135, 105, 140, 102, 137, 94, 129, 101, 136, 96, 131, 88, 123, 95, 130, 90, 125, 82, 117, 89, 124, 84, 119, 76, 111, 83, 118, 78, 113, 72, 107, 77, 112, 75, 110)
	L = (1, 74)(2, 71)(3, 80)(4, 81)(5, 79)(6, 72)(7, 73)(8, 75)(9, 85)(10, 86)(11, 87)(12, 76)(13, 77)(14, 78)(15, 91)(16, 92)(17, 93)(18, 82)(19, 83)(20, 84)(21, 97)(22, 98)(23, 99)(24, 88)(25, 89)(26, 90)(27, 103)(28, 104)(29, 105)(30, 94)(31, 95)(32, 96)(33, 100)(34, 102)(35, 101)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.582
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.572 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, Y2^-2 * Y3^-1 * Y2^-1, (R * Y1)^2, (Y2^-1, Y1^-1), (R * Y3)^2, Y2^-1 * Y1^4 * Y3^-2 * Y1^6, Y3^-1 * Y1 * Y2 * Y3^5 * Y2 * Y3^5 * Y2 * Y3^5 * Y2, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 12, 47, 18, 53, 24, 59, 30, 65, 33, 68, 27, 62, 21, 56, 15, 50, 9, 44, 3, 38, 7, 42, 13, 48, 19, 54, 25, 60, 31, 66, 35, 70, 29, 64, 23, 58, 17, 52, 11, 46, 5, 40, 8, 43, 14, 49, 20, 55, 26, 61, 32, 67, 34, 69, 28, 63, 22, 57, 16, 51, 10, 45, 4, 39)(71, 106, 73, 108, 78, 113, 72, 107, 77, 112, 84, 119, 76, 111, 83, 118, 90, 125, 82, 117, 89, 124, 96, 131, 88, 123, 95, 130, 102, 137, 94, 129, 101, 136, 104, 139, 100, 135, 105, 140, 98, 133, 103, 138, 99, 134, 92, 127, 97, 132, 93, 128, 86, 121, 91, 126, 87, 122, 80, 115, 85, 120, 81, 116, 74, 109, 79, 114, 75, 110)
	L = (1, 74)(2, 71)(3, 79)(4, 80)(5, 81)(6, 72)(7, 73)(8, 75)(9, 85)(10, 86)(11, 87)(12, 76)(13, 77)(14, 78)(15, 91)(16, 92)(17, 93)(18, 82)(19, 83)(20, 84)(21, 97)(22, 98)(23, 99)(24, 88)(25, 89)(26, 90)(27, 103)(28, 104)(29, 105)(30, 94)(31, 95)(32, 96)(33, 100)(34, 102)(35, 101)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.579
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.573 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^-1 * Y3^-1, (Y1^-1, Y2), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-2 * Y1^-1 * Y2^-2, Y3^4 * Y2^-1 * Y3 * Y1^-4, Y1^-8 * Y2^-1 * Y1^-1, Y1^2 * Y2^-1 * Y1^3 * Y3^-3 * Y2^-2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 14, 49, 22, 57, 30, 65, 29, 64, 21, 56, 12, 47, 5, 40, 8, 43, 16, 51, 24, 59, 32, 67, 34, 69, 26, 61, 18, 53, 9, 44, 13, 48, 17, 52, 25, 60, 33, 68, 35, 70, 27, 62, 19, 54, 10, 45, 3, 38, 7, 42, 15, 50, 23, 58, 31, 66, 28, 63, 20, 55, 11, 46, 4, 39)(71, 106, 73, 108, 79, 114, 82, 117, 74, 109, 80, 115, 88, 123, 91, 126, 81, 116, 89, 124, 96, 131, 99, 134, 90, 125, 97, 132, 104, 139, 100, 135, 98, 133, 105, 140, 102, 137, 92, 127, 101, 136, 103, 138, 94, 129, 84, 119, 93, 128, 95, 130, 86, 121, 76, 111, 85, 120, 87, 122, 78, 113, 72, 107, 77, 112, 83, 118, 75, 110)
	L = (1, 74)(2, 71)(3, 80)(4, 81)(5, 82)(6, 72)(7, 73)(8, 75)(9, 88)(10, 89)(11, 90)(12, 91)(13, 79)(14, 76)(15, 77)(16, 78)(17, 83)(18, 96)(19, 97)(20, 98)(21, 99)(22, 84)(23, 85)(24, 86)(25, 87)(26, 104)(27, 105)(28, 101)(29, 100)(30, 92)(31, 93)(32, 94)(33, 95)(34, 102)(35, 103)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.581
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.574 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (Y2, Y1^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y1)^2, Y1^2 * Y2 * Y1 * Y2^2 * Y1, Y2^-1 * Y1 * Y2^-7, Y2^2 * Y3 * Y2 * Y3 * Y2^2 * Y1^-3, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 14, 49, 25, 60, 28, 63, 35, 70, 31, 66, 20, 55, 9, 44, 17, 52, 23, 58, 12, 47, 5, 40, 8, 43, 16, 51, 26, 61, 33, 68, 29, 64, 32, 67, 21, 56, 10, 45, 3, 38, 7, 42, 15, 50, 24, 59, 13, 48, 18, 53, 27, 62, 34, 69, 30, 65, 19, 54, 22, 57, 11, 46, 4, 39)(71, 106, 73, 108, 79, 114, 89, 124, 99, 134, 98, 133, 88, 123, 78, 113, 72, 107, 77, 112, 87, 122, 92, 127, 102, 137, 105, 140, 97, 132, 86, 121, 76, 111, 85, 120, 93, 128, 81, 116, 91, 126, 101, 136, 104, 139, 96, 131, 84, 119, 94, 129, 82, 117, 74, 109, 80, 115, 90, 125, 100, 135, 103, 138, 95, 130, 83, 118, 75, 110)
	L = (1, 74)(2, 71)(3, 80)(4, 81)(5, 82)(6, 72)(7, 73)(8, 75)(9, 90)(10, 91)(11, 92)(12, 93)(13, 94)(14, 76)(15, 77)(16, 78)(17, 79)(18, 83)(19, 100)(20, 101)(21, 102)(22, 89)(23, 87)(24, 85)(25, 84)(26, 86)(27, 88)(28, 95)(29, 103)(30, 104)(31, 105)(32, 99)(33, 96)(34, 97)(35, 98)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.578
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.575 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-1 * Y1^-1, (R * Y3)^2, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (Y3^-1, Y2^-1), Y2 * Y1 * Y2 * Y1^2, Y2^9 * Y1^-1 * Y2^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 36, 2, 37, 6, 41, 13, 48, 15, 50, 20, 55, 25, 60, 27, 62, 32, 67, 34, 69, 28, 63, 30, 65, 23, 58, 16, 51, 18, 53, 10, 45, 3, 38, 7, 42, 12, 47, 5, 40, 8, 43, 14, 49, 19, 54, 21, 56, 26, 61, 31, 66, 33, 68, 35, 70, 29, 64, 22, 57, 24, 59, 17, 52, 9, 44, 11, 46, 4, 39)(71, 106, 73, 108, 79, 114, 86, 121, 92, 127, 98, 133, 103, 138, 97, 132, 91, 126, 85, 120, 78, 113, 72, 107, 77, 112, 81, 116, 88, 123, 94, 129, 100, 135, 105, 140, 102, 137, 96, 131, 90, 125, 84, 119, 76, 111, 82, 117, 74, 109, 80, 115, 87, 122, 93, 128, 99, 134, 104, 139, 101, 136, 95, 130, 89, 124, 83, 118, 75, 110)
	L = (1, 74)(2, 71)(3, 80)(4, 81)(5, 82)(6, 72)(7, 73)(8, 75)(9, 87)(10, 88)(11, 79)(12, 77)(13, 76)(14, 78)(15, 83)(16, 93)(17, 94)(18, 86)(19, 84)(20, 85)(21, 89)(22, 99)(23, 100)(24, 92)(25, 90)(26, 91)(27, 95)(28, 104)(29, 105)(30, 98)(31, 96)(32, 97)(33, 101)(34, 102)(35, 103)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.577
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.576 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2 * Y3, (R * Y3)^2, (R * Y1)^2, Y2^35, (Y3 * Y2^-1)^35, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 74, 109, 76, 111, 78, 113, 80, 115, 82, 117, 84, 119, 96, 131, 94, 129, 92, 127, 90, 125, 88, 123, 86, 121, 87, 122, 89, 124, 91, 126, 93, 128, 95, 130, 97, 132, 98, 133, 105, 140, 104, 139, 103, 138, 102, 137, 101, 136, 100, 135, 99, 134, 85, 120, 83, 118, 81, 116, 79, 114, 77, 112, 75, 110, 73, 108)
	L = (1, 73)(2, 71)(3, 75)(4, 72)(5, 77)(6, 74)(7, 79)(8, 76)(9, 81)(10, 78)(11, 83)(12, 80)(13, 85)(14, 82)(15, 99)(16, 88)(17, 86)(18, 90)(19, 87)(20, 92)(21, 89)(22, 94)(23, 91)(24, 96)(25, 93)(26, 84)(27, 95)(28, 97)(29, 100)(30, 101)(31, 102)(32, 103)(33, 104)(34, 105)(35, 98)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.569
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-17, (Y3 * Y2^-1)^35, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 75, 110, 76, 111, 79, 114, 80, 115, 83, 118, 84, 119, 87, 122, 88, 123, 91, 126, 92, 127, 95, 130, 96, 131, 99, 134, 100, 135, 103, 138, 104, 139, 105, 140, 101, 136, 102, 137, 97, 132, 98, 133, 93, 128, 94, 129, 89, 124, 90, 125, 85, 120, 86, 121, 81, 116, 82, 117, 77, 112, 78, 113, 73, 108, 74, 109)
	L = (1, 73)(2, 74)(3, 77)(4, 78)(5, 71)(6, 72)(7, 81)(8, 82)(9, 75)(10, 76)(11, 85)(12, 86)(13, 79)(14, 80)(15, 89)(16, 90)(17, 83)(18, 84)(19, 93)(20, 94)(21, 87)(22, 88)(23, 97)(24, 98)(25, 91)(26, 92)(27, 101)(28, 102)(29, 95)(30, 96)(31, 104)(32, 105)(33, 99)(34, 100)(35, 103)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.575
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3 * Y2^3, (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^-4 * Y2^2 * Y3^-7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 76, 111, 75, 110, 78, 113, 82, 117, 81, 116, 84, 119, 88, 123, 87, 122, 90, 125, 94, 129, 93, 128, 96, 131, 100, 135, 99, 134, 102, 137, 103, 138, 105, 140, 104, 139, 97, 132, 101, 136, 98, 133, 91, 126, 95, 130, 92, 127, 85, 120, 89, 124, 86, 121, 79, 114, 83, 118, 80, 115, 73, 108, 77, 112, 74, 109)
	L = (1, 73)(2, 77)(3, 79)(4, 80)(5, 71)(6, 74)(7, 83)(8, 72)(9, 85)(10, 86)(11, 75)(12, 76)(13, 89)(14, 78)(15, 91)(16, 92)(17, 81)(18, 82)(19, 95)(20, 84)(21, 97)(22, 98)(23, 87)(24, 88)(25, 101)(26, 90)(27, 103)(28, 104)(29, 93)(30, 94)(31, 105)(32, 96)(33, 100)(34, 102)(35, 99)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.574
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.579 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2 * Y3^-1 * Y2 * Y3^-3 * Y2, Y3^-1 * Y2^-3 * Y3 * Y2^3, Y2^-8 * Y3^-1, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 76, 111, 84, 119, 96, 131, 101, 136, 93, 128, 82, 117, 75, 110, 78, 113, 86, 121, 89, 124, 99, 134, 105, 140, 102, 137, 94, 129, 83, 118, 88, 123, 90, 125, 79, 114, 87, 122, 98, 133, 104, 139, 103, 138, 95, 130, 91, 126, 80, 115, 73, 108, 77, 112, 85, 120, 97, 132, 100, 135, 92, 127, 81, 116, 74, 109)
	L = (1, 73)(2, 77)(3, 79)(4, 80)(5, 71)(6, 85)(7, 87)(8, 72)(9, 89)(10, 90)(11, 91)(12, 74)(13, 75)(14, 97)(15, 98)(16, 76)(17, 99)(18, 78)(19, 84)(20, 86)(21, 88)(22, 95)(23, 81)(24, 82)(25, 83)(26, 100)(27, 104)(28, 105)(29, 96)(30, 103)(31, 92)(32, 93)(33, 94)(34, 102)(35, 101)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.572
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.580 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y3^-1 * Y2 * Y3^-2 * Y2, Y2^-10 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 76, 111, 84, 119, 90, 125, 96, 131, 102, 137, 100, 135, 94, 129, 88, 123, 82, 117, 75, 110, 78, 113, 79, 114, 86, 121, 92, 127, 98, 133, 104, 139, 105, 140, 101, 136, 95, 130, 89, 124, 83, 118, 80, 115, 73, 108, 77, 112, 85, 120, 91, 126, 97, 132, 103, 138, 99, 134, 93, 128, 87, 122, 81, 116, 74, 109)
	L = (1, 73)(2, 77)(3, 79)(4, 80)(5, 71)(6, 85)(7, 86)(8, 72)(9, 76)(10, 78)(11, 83)(12, 74)(13, 75)(14, 91)(15, 92)(16, 84)(17, 89)(18, 81)(19, 82)(20, 97)(21, 98)(22, 90)(23, 95)(24, 87)(25, 88)(26, 103)(27, 104)(28, 96)(29, 101)(30, 93)(31, 94)(32, 99)(33, 105)(34, 102)(35, 100)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.570
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.581 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^-3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2^5 * Y3^-1 * Y2^-5 * Y3, Y2^4 * Y3^-2 * Y2^7, (Y3^-1 * Y1^-1)^35, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 76, 111, 82, 117, 88, 123, 94, 129, 100, 135, 103, 138, 97, 132, 91, 126, 85, 120, 79, 114, 75, 110, 78, 113, 84, 119, 90, 125, 96, 131, 102, 137, 104, 139, 98, 133, 92, 127, 86, 121, 80, 115, 73, 108, 77, 112, 83, 118, 89, 124, 95, 130, 101, 136, 105, 140, 99, 134, 93, 128, 87, 122, 81, 116, 74, 109)
	L = (1, 73)(2, 77)(3, 79)(4, 80)(5, 71)(6, 83)(7, 75)(8, 72)(9, 74)(10, 85)(11, 86)(12, 89)(13, 78)(14, 76)(15, 81)(16, 91)(17, 92)(18, 95)(19, 84)(20, 82)(21, 87)(22, 97)(23, 98)(24, 101)(25, 90)(26, 88)(27, 93)(28, 103)(29, 104)(30, 105)(31, 96)(32, 94)(33, 99)(34, 100)(35, 102)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.573
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.582 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {35, 35, 35})
Quotient :: dipole
Aut^+ = C35 (small group id <35, 1>)
Aut   = D70 (small group id <70, 3>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3^9 * Y2 * Y3^2, (Y3^-1 * Y1^-1)^35 ]
Map::
	R = (1, 36)(2, 37)(3, 38)(4, 39)(5, 40)(6, 41)(7, 42)(8, 43)(9, 44)(10, 45)(11, 46)(12, 47)(13, 48)(14, 49)(15, 50)(16, 51)(17, 52)(18, 53)(19, 54)(20, 55)(21, 56)(22, 57)(23, 58)(24, 59)(25, 60)(26, 61)(27, 62)(28, 63)(29, 64)(30, 65)(31, 66)(32, 67)(33, 68)(34, 69)(35, 70)(71, 106, 72, 107, 76, 111, 79, 114, 85, 120, 90, 125, 92, 127, 97, 132, 102, 137, 104, 139, 101, 136, 99, 134, 94, 129, 89, 124, 87, 122, 82, 117, 75, 110, 78, 113, 80, 115, 73, 108, 77, 112, 84, 119, 86, 121, 91, 126, 96, 131, 98, 133, 103, 138, 105, 140, 100, 135, 95, 130, 93, 128, 88, 123, 83, 118, 81, 116, 74, 109)
	L = (1, 73)(2, 77)(3, 79)(4, 80)(5, 71)(6, 84)(7, 85)(8, 72)(9, 86)(10, 76)(11, 78)(12, 74)(13, 75)(14, 90)(15, 91)(16, 92)(17, 81)(18, 82)(19, 83)(20, 96)(21, 97)(22, 98)(23, 87)(24, 88)(25, 89)(26, 102)(27, 103)(28, 104)(29, 93)(30, 94)(31, 95)(32, 105)(33, 101)(34, 100)(35, 99)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.571
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.583 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y1 * Y2, Y3 * Y1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-9 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 7, 43)(6, 42, 8, 44)(9, 45, 13, 49)(10, 46, 12, 48)(11, 47, 15, 51)(14, 50, 16, 52)(17, 53, 21, 57)(18, 54, 20, 56)(19, 55, 23, 59)(22, 58, 24, 60)(25, 61, 29, 65)(26, 62, 28, 64)(27, 63, 31, 67)(30, 66, 32, 68)(33, 69, 36, 72)(34, 70, 35, 71)(73, 109, 75, 111, 74, 110, 77, 113)(76, 112, 82, 118, 79, 115, 84, 120)(78, 114, 81, 117, 80, 116, 85, 121)(83, 119, 90, 126, 87, 123, 92, 128)(86, 122, 89, 125, 88, 124, 93, 129)(91, 127, 98, 134, 95, 131, 100, 136)(94, 130, 97, 133, 96, 132, 101, 137)(99, 135, 106, 142, 103, 139, 107, 143)(102, 138, 105, 141, 104, 140, 108, 144)
	L = (1, 76)(2, 79)(3, 81)(4, 83)(5, 85)(6, 73)(7, 87)(8, 74)(9, 89)(10, 75)(11, 91)(12, 77)(13, 93)(14, 78)(15, 95)(16, 80)(17, 97)(18, 82)(19, 99)(20, 84)(21, 101)(22, 86)(23, 103)(24, 88)(25, 105)(26, 90)(27, 104)(28, 92)(29, 108)(30, 94)(31, 102)(32, 96)(33, 107)(34, 98)(35, 100)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8, 18, 8, 18 ), ( 8, 18, 8, 18, 8, 18, 8, 18 ) }
Outer automorphisms :: reflexible
Dual of E17.584
Graph:: bipartite
	v = 27 e = 72 f = 13
	degree seq :: [ 4^18, 8^9 ]

E17.584 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 9})
Quotient :: dipole
Aut^+ = C9 : C4 (small group id <36, 1>)
Aut   = (C18 x C2) : C2 (small group id <72, 8>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1 * Y1^-2, (Y3^-1 * Y2)^2, Y3^2 * Y2^-2, Y1^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1, Y3^2 * Y2^7 ]
Map:: non-degenerate
	R = (1, 37, 2, 38, 8, 44, 5, 41)(3, 39, 11, 47, 4, 40, 12, 48)(6, 42, 9, 45, 7, 43, 10, 46)(13, 49, 19, 55, 14, 50, 20, 56)(15, 51, 17, 53, 16, 52, 18, 54)(21, 57, 27, 63, 22, 58, 28, 64)(23, 59, 25, 61, 24, 60, 26, 62)(29, 65, 35, 71, 30, 66, 36, 72)(31, 67, 33, 69, 32, 68, 34, 70)(73, 109, 75, 111, 85, 121, 93, 129, 101, 137, 103, 139, 95, 131, 87, 123, 78, 114)(74, 110, 81, 117, 89, 125, 97, 133, 105, 141, 107, 143, 99, 135, 91, 127, 83, 119)(76, 112, 86, 122, 94, 130, 102, 138, 104, 140, 96, 132, 88, 124, 79, 115, 80, 116)(77, 113, 82, 118, 90, 126, 98, 134, 106, 142, 108, 144, 100, 136, 92, 128, 84, 120)
	L = (1, 76)(2, 82)(3, 86)(4, 85)(5, 81)(6, 80)(7, 73)(8, 75)(9, 90)(10, 89)(11, 77)(12, 74)(13, 94)(14, 93)(15, 79)(16, 78)(17, 98)(18, 97)(19, 84)(20, 83)(21, 102)(22, 101)(23, 88)(24, 87)(25, 106)(26, 105)(27, 92)(28, 91)(29, 104)(30, 103)(31, 96)(32, 95)(33, 108)(34, 107)(35, 100)(36, 99)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.583
Graph:: bipartite
	v = 13 e = 72 f = 27
	degree seq :: [ 8^9, 18^4 ]

E17.585 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: halfedge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, (R * Y1)^2, (Y1^-1 * Y2)^2, R * Y3 * R * Y2, Y1^18 ]
Map::
	R = (1, 38, 2, 41, 5, 45, 9, 49, 13, 53, 17, 57, 21, 61, 25, 65, 29, 69, 33, 68, 32, 64, 28, 60, 24, 56, 20, 52, 16, 48, 12, 44, 8, 40, 4, 37)(3, 43, 7, 47, 11, 51, 15, 55, 19, 59, 23, 63, 27, 67, 31, 71, 35, 72, 36, 70, 34, 66, 30, 62, 26, 58, 22, 54, 18, 50, 14, 46, 10, 42, 6, 39)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 34)(32, 35)(33, 36)(37, 39)(38, 42)(40, 43)(41, 46)(44, 47)(45, 50)(48, 51)(49, 54)(52, 55)(53, 58)(56, 59)(57, 62)(60, 63)(61, 66)(64, 67)(65, 70)(68, 71)(69, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.586 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: halfedge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y1^-1)^2, (Y3 * Y1)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^2 * Y2 * Y1^-1 * Y3 * Y1, Y3 * Y1^-2 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y2 * Y1 * Y3)^18 ]
Map:: non-degenerate
	R = (1, 38, 2, 42, 6, 50, 14, 48, 12, 54, 18, 60, 24, 67, 31, 66, 30, 70, 34, 65, 29, 69, 33, 63, 27, 56, 20, 46, 10, 53, 17, 49, 13, 41, 5, 37)(3, 45, 9, 55, 19, 61, 25, 57, 21, 64, 28, 71, 35, 72, 36, 68, 32, 62, 26, 58, 22, 59, 23, 52, 16, 44, 8, 40, 4, 47, 11, 51, 15, 43, 7, 39)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 14)(13, 19)(16, 24)(17, 25)(20, 28)(22, 30)(23, 31)(26, 34)(27, 35)(29, 32)(33, 36)(37, 40)(38, 44)(39, 46)(41, 47)(42, 52)(43, 53)(45, 56)(48, 58)(49, 51)(50, 59)(54, 62)(55, 63)(57, 65)(60, 68)(61, 69)(64, 70)(66, 71)(67, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E17.587
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.587 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: halfedge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y1^-1 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1)^2, (Y3 * Y2)^3, Y1^-3 * Y3 * Y1 * Y2 * Y1^-2, Y1^-3 * Y2 * Y3 * Y1^-3 * Y2 * Y1^3 * Y3 * Y1^-3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 38, 2, 42, 6, 50, 14, 61, 25, 59, 23, 48, 12, 54, 18, 65, 29, 71, 35, 68, 32, 56, 20, 46, 10, 53, 17, 64, 28, 60, 24, 49, 13, 41, 5, 37)(3, 45, 9, 55, 19, 67, 31, 72, 36, 66, 30, 57, 21, 69, 33, 70, 34, 63, 27, 52, 16, 44, 8, 40, 4, 47, 11, 58, 22, 62, 26, 51, 15, 43, 7, 39)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 23)(13, 19)(14, 26)(16, 29)(17, 30)(20, 33)(22, 25)(24, 31)(27, 35)(28, 36)(32, 34)(37, 40)(38, 44)(39, 46)(41, 47)(42, 52)(43, 53)(45, 56)(48, 57)(49, 58)(50, 63)(51, 64)(54, 66)(55, 68)(59, 69)(60, 62)(61, 70)(65, 72)(67, 71)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E17.586
Transitivity :: VT+ AT
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.588 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: edge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^18 ]
Map::
	R = (1, 37, 3, 39, 7, 43, 11, 47, 15, 51, 19, 55, 23, 59, 27, 63, 31, 67, 35, 71, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44, 4, 40)(2, 38, 5, 41, 9, 45, 13, 49, 17, 53, 21, 57, 25, 61, 29, 65, 33, 69, 36, 72, 34, 70, 30, 66, 26, 62, 22, 58, 18, 54, 14, 50, 10, 46, 6, 42)(73, 74)(75, 78)(76, 77)(79, 82)(80, 81)(83, 86)(84, 85)(87, 90)(88, 89)(91, 94)(92, 93)(95, 98)(96, 97)(99, 102)(100, 101)(103, 106)(104, 105)(107, 108)(109, 110)(111, 114)(112, 113)(115, 118)(116, 117)(119, 122)(120, 121)(123, 126)(124, 125)(127, 130)(128, 129)(131, 134)(132, 133)(135, 138)(136, 137)(139, 142)(140, 141)(143, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72, 72 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.592
Graph:: simple bipartite
	v = 38 e = 72 f = 2
	degree seq :: [ 2^36, 36^2 ]

E17.589 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: edge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^4 * Y1 * Y3^-2 * Y2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 37, 4, 40, 12, 48, 23, 59, 32, 68, 20, 56, 9, 45, 19, 55, 31, 67, 36, 72, 28, 64, 16, 52, 6, 42, 15, 51, 27, 63, 24, 60, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 29, 65, 35, 71, 26, 62, 14, 50, 25, 61, 34, 70, 33, 69, 22, 58, 11, 47, 3, 39, 10, 46, 21, 57, 30, 66, 18, 54, 8, 44)(73, 74)(75, 81)(76, 80)(77, 79)(78, 86)(82, 92)(83, 91)(84, 90)(85, 89)(87, 98)(88, 97)(93, 104)(94, 103)(95, 102)(96, 101)(99, 107)(100, 106)(105, 108)(109, 111)(110, 114)(112, 119)(113, 118)(115, 124)(116, 123)(117, 122)(120, 130)(121, 129)(125, 136)(126, 135)(127, 134)(128, 133)(131, 141)(132, 138)(137, 144)(139, 143)(140, 142)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72, 72 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.594
Graph:: simple bipartite
	v = 38 e = 72 f = 2
	degree seq :: [ 2^36, 36^2 ]

E17.590 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: edge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^-8 * Y2 * Y1, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 37, 4, 40, 12, 48, 21, 57, 29, 65, 35, 71, 27, 63, 19, 55, 9, 45, 16, 52, 6, 42, 15, 51, 24, 60, 32, 68, 30, 66, 22, 58, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 25, 61, 33, 69, 36, 72, 31, 67, 23, 59, 14, 50, 11, 47, 3, 39, 10, 46, 20, 56, 28, 64, 34, 70, 26, 62, 18, 54, 8, 44)(73, 74)(75, 81)(76, 80)(77, 79)(78, 86)(82, 91)(83, 88)(84, 90)(85, 89)(87, 95)(92, 99)(93, 98)(94, 97)(96, 103)(100, 107)(101, 106)(102, 105)(104, 108)(109, 111)(110, 114)(112, 119)(113, 118)(115, 124)(116, 123)(117, 125)(120, 122)(121, 128)(126, 132)(127, 133)(129, 131)(130, 136)(134, 140)(135, 141)(137, 139)(138, 142)(143, 144)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72, 72 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.593
Graph:: simple bipartite
	v = 38 e = 72 f = 2
	degree seq :: [ 2^36, 36^2 ]

E17.591 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 18, 18})
Quotient :: edge^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^18, Y2^18 ]
Map:: non-degenerate
	R = (1, 37, 4, 40)(2, 38, 6, 42)(3, 39, 8, 44)(5, 41, 10, 46)(7, 43, 12, 48)(9, 45, 14, 50)(11, 47, 16, 52)(13, 49, 18, 54)(15, 51, 20, 56)(17, 53, 22, 58)(19, 55, 24, 60)(21, 57, 26, 62)(23, 59, 28, 64)(25, 61, 30, 66)(27, 63, 32, 68)(29, 65, 34, 70)(31, 67, 35, 71)(33, 69, 36, 72)(73, 74, 77, 81, 85, 89, 93, 97, 101, 105, 103, 99, 95, 91, 87, 83, 79, 75)(76, 80, 84, 88, 92, 96, 100, 104, 107, 108, 106, 102, 98, 94, 90, 86, 82, 78)(109, 111, 115, 119, 123, 127, 131, 135, 139, 141, 137, 133, 129, 125, 121, 117, 113, 110)(112, 114, 118, 122, 126, 130, 134, 138, 142, 144, 143, 140, 136, 132, 128, 124, 120, 116)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^4 ), ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E17.595
Graph:: simple bipartite
	v = 22 e = 72 f = 18
	degree seq :: [ 4^18, 18^4 ]

E17.592 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 18, 18})
Quotient :: loop^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, R * Y2 * R * Y1, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^18 ]
Map::
	R = (1, 37, 73, 109, 3, 39, 75, 111, 7, 43, 79, 115, 11, 47, 83, 119, 15, 51, 87, 123, 19, 55, 91, 127, 23, 59, 95, 131, 27, 63, 99, 135, 31, 67, 103, 139, 35, 71, 107, 143, 32, 68, 104, 140, 28, 64, 100, 136, 24, 60, 96, 132, 20, 56, 92, 128, 16, 52, 88, 124, 12, 48, 84, 120, 8, 44, 80, 116, 4, 40, 76, 112)(2, 38, 74, 110, 5, 41, 77, 113, 9, 45, 81, 117, 13, 49, 85, 121, 17, 53, 89, 125, 21, 57, 93, 129, 25, 61, 97, 133, 29, 65, 101, 137, 33, 69, 105, 141, 36, 72, 108, 144, 34, 70, 106, 142, 30, 66, 102, 138, 26, 62, 98, 134, 22, 58, 94, 130, 18, 54, 90, 126, 14, 50, 86, 122, 10, 46, 82, 118, 6, 42, 78, 114)
	L = (1, 38)(2, 37)(3, 42)(4, 41)(5, 40)(6, 39)(7, 46)(8, 45)(9, 44)(10, 43)(11, 50)(12, 49)(13, 48)(14, 47)(15, 54)(16, 53)(17, 52)(18, 51)(19, 58)(20, 57)(21, 56)(22, 55)(23, 62)(24, 61)(25, 60)(26, 59)(27, 66)(28, 65)(29, 64)(30, 63)(31, 70)(32, 69)(33, 68)(34, 67)(35, 72)(36, 71)(73, 110)(74, 109)(75, 114)(76, 113)(77, 112)(78, 111)(79, 118)(80, 117)(81, 116)(82, 115)(83, 122)(84, 121)(85, 120)(86, 119)(87, 126)(88, 125)(89, 124)(90, 123)(91, 130)(92, 129)(93, 128)(94, 127)(95, 134)(96, 133)(97, 132)(98, 131)(99, 138)(100, 137)(101, 136)(102, 135)(103, 142)(104, 141)(105, 140)(106, 139)(107, 144)(108, 143)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.588
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 38
	degree seq :: [ 72^2 ]

E17.593 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 18, 18})
Quotient :: loop^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (Y2 * Y1)^3, Y3^4 * Y1 * Y3^-2 * Y2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 23, 59, 95, 131, 32, 68, 104, 140, 20, 56, 92, 128, 9, 45, 81, 117, 19, 55, 91, 127, 31, 67, 103, 139, 36, 72, 108, 144, 28, 64, 100, 136, 16, 52, 88, 124, 6, 42, 78, 114, 15, 51, 87, 123, 27, 63, 99, 135, 24, 60, 96, 132, 13, 49, 85, 121, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 17, 53, 89, 125, 29, 65, 101, 137, 35, 71, 107, 143, 26, 62, 98, 134, 14, 50, 86, 122, 25, 61, 97, 133, 34, 70, 106, 142, 33, 69, 105, 141, 22, 58, 94, 130, 11, 47, 83, 119, 3, 39, 75, 111, 10, 46, 82, 118, 21, 57, 93, 129, 30, 66, 102, 138, 18, 54, 90, 126, 8, 44, 80, 116)
	L = (1, 38)(2, 37)(3, 45)(4, 44)(5, 43)(6, 50)(7, 41)(8, 40)(9, 39)(10, 56)(11, 55)(12, 54)(13, 53)(14, 42)(15, 62)(16, 61)(17, 49)(18, 48)(19, 47)(20, 46)(21, 68)(22, 67)(23, 66)(24, 65)(25, 52)(26, 51)(27, 71)(28, 70)(29, 60)(30, 59)(31, 58)(32, 57)(33, 72)(34, 64)(35, 63)(36, 69)(73, 111)(74, 114)(75, 109)(76, 119)(77, 118)(78, 110)(79, 124)(80, 123)(81, 122)(82, 113)(83, 112)(84, 130)(85, 129)(86, 117)(87, 116)(88, 115)(89, 136)(90, 135)(91, 134)(92, 133)(93, 121)(94, 120)(95, 141)(96, 138)(97, 128)(98, 127)(99, 126)(100, 125)(101, 144)(102, 132)(103, 143)(104, 142)(105, 131)(106, 140)(107, 139)(108, 137)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.590
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 38
	degree seq :: [ 72^2 ]

E17.594 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 18, 18})
Quotient :: loop^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^-8 * Y2 * Y1, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 37, 73, 109, 4, 40, 76, 112, 12, 48, 84, 120, 21, 57, 93, 129, 29, 65, 101, 137, 35, 71, 107, 143, 27, 63, 99, 135, 19, 55, 91, 127, 9, 45, 81, 117, 16, 52, 88, 124, 6, 42, 78, 114, 15, 51, 87, 123, 24, 60, 96, 132, 32, 68, 104, 140, 30, 66, 102, 138, 22, 58, 94, 130, 13, 49, 85, 121, 5, 41, 77, 113)(2, 38, 74, 110, 7, 43, 79, 115, 17, 53, 89, 125, 25, 61, 97, 133, 33, 69, 105, 141, 36, 72, 108, 144, 31, 67, 103, 139, 23, 59, 95, 131, 14, 50, 86, 122, 11, 47, 83, 119, 3, 39, 75, 111, 10, 46, 82, 118, 20, 56, 92, 128, 28, 64, 100, 136, 34, 70, 106, 142, 26, 62, 98, 134, 18, 54, 90, 126, 8, 44, 80, 116)
	L = (1, 38)(2, 37)(3, 45)(4, 44)(5, 43)(6, 50)(7, 41)(8, 40)(9, 39)(10, 55)(11, 52)(12, 54)(13, 53)(14, 42)(15, 59)(16, 47)(17, 49)(18, 48)(19, 46)(20, 63)(21, 62)(22, 61)(23, 51)(24, 67)(25, 58)(26, 57)(27, 56)(28, 71)(29, 70)(30, 69)(31, 60)(32, 72)(33, 66)(34, 65)(35, 64)(36, 68)(73, 111)(74, 114)(75, 109)(76, 119)(77, 118)(78, 110)(79, 124)(80, 123)(81, 125)(82, 113)(83, 112)(84, 122)(85, 128)(86, 120)(87, 116)(88, 115)(89, 117)(90, 132)(91, 133)(92, 121)(93, 131)(94, 136)(95, 129)(96, 126)(97, 127)(98, 140)(99, 141)(100, 130)(101, 139)(102, 142)(103, 137)(104, 134)(105, 135)(106, 138)(107, 144)(108, 143)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.589
Transitivity :: VT+
Graph:: bipartite
	v = 2 e = 72 f = 38
	degree seq :: [ 72^2 ]

E17.595 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 18, 18})
Quotient :: loop^2
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1, Y1^18, Y2^18 ]
Map:: non-degenerate
	R = (1, 37, 73, 109, 4, 40, 76, 112)(2, 38, 74, 110, 6, 42, 78, 114)(3, 39, 75, 111, 8, 44, 80, 116)(5, 41, 77, 113, 10, 46, 82, 118)(7, 43, 79, 115, 12, 48, 84, 120)(9, 45, 81, 117, 14, 50, 86, 122)(11, 47, 83, 119, 16, 52, 88, 124)(13, 49, 85, 121, 18, 54, 90, 126)(15, 51, 87, 123, 20, 56, 92, 128)(17, 53, 89, 125, 22, 58, 94, 130)(19, 55, 91, 127, 24, 60, 96, 132)(21, 57, 93, 129, 26, 62, 98, 134)(23, 59, 95, 131, 28, 64, 100, 136)(25, 61, 97, 133, 30, 66, 102, 138)(27, 63, 99, 135, 32, 68, 104, 140)(29, 65, 101, 137, 34, 70, 106, 142)(31, 67, 103, 139, 35, 71, 107, 143)(33, 69, 105, 141, 36, 72, 108, 144)
	L = (1, 38)(2, 41)(3, 37)(4, 44)(5, 45)(6, 40)(7, 39)(8, 48)(9, 49)(10, 42)(11, 43)(12, 52)(13, 53)(14, 46)(15, 47)(16, 56)(17, 57)(18, 50)(19, 51)(20, 60)(21, 61)(22, 54)(23, 55)(24, 64)(25, 65)(26, 58)(27, 59)(28, 68)(29, 69)(30, 62)(31, 63)(32, 71)(33, 67)(34, 66)(35, 72)(36, 70)(73, 111)(74, 109)(75, 115)(76, 114)(77, 110)(78, 118)(79, 119)(80, 112)(81, 113)(82, 122)(83, 123)(84, 116)(85, 117)(86, 126)(87, 127)(88, 120)(89, 121)(90, 130)(91, 131)(92, 124)(93, 125)(94, 134)(95, 135)(96, 128)(97, 129)(98, 138)(99, 139)(100, 132)(101, 133)(102, 142)(103, 141)(104, 136)(105, 137)(106, 144)(107, 140)(108, 143)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E17.591
Transitivity :: VT+
Graph:: bipartite
	v = 18 e = 72 f = 22
	degree seq :: [ 8^18 ]

E17.596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 5, 41)(4, 40, 6, 42)(7, 43, 9, 45)(8, 44, 10, 46)(11, 47, 13, 49)(12, 48, 14, 50)(15, 51, 17, 53)(16, 52, 18, 54)(19, 55, 21, 57)(20, 56, 22, 58)(23, 59, 25, 61)(24, 60, 26, 62)(27, 63, 29, 65)(28, 64, 30, 66)(31, 67, 33, 69)(32, 68, 34, 70)(35, 71, 36, 72)(73, 109, 75, 111, 79, 115, 83, 119, 87, 123, 91, 127, 95, 131, 99, 135, 103, 139, 107, 143, 104, 140, 100, 136, 96, 132, 92, 128, 88, 124, 84, 120, 80, 116, 76, 112)(74, 110, 77, 113, 81, 117, 85, 121, 89, 125, 93, 129, 97, 133, 101, 137, 105, 141, 108, 144, 106, 142, 102, 138, 98, 134, 94, 130, 90, 126, 86, 122, 82, 118, 78, 114)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 5, 41)(7, 43, 10, 46)(8, 44, 9, 45)(11, 47, 14, 50)(12, 48, 13, 49)(15, 51, 18, 54)(16, 52, 17, 53)(19, 55, 22, 58)(20, 56, 21, 57)(23, 59, 26, 62)(24, 60, 25, 61)(27, 63, 30, 66)(28, 64, 29, 65)(31, 67, 34, 70)(32, 68, 33, 69)(35, 71, 36, 72)(73, 109, 75, 111, 79, 115, 83, 119, 87, 123, 91, 127, 95, 131, 99, 135, 103, 139, 107, 143, 104, 140, 100, 136, 96, 132, 92, 128, 88, 124, 84, 120, 80, 116, 76, 112)(74, 110, 77, 113, 81, 117, 85, 121, 89, 125, 93, 129, 97, 133, 101, 137, 105, 141, 108, 144, 106, 142, 102, 138, 98, 134, 94, 130, 90, 126, 86, 122, 82, 118, 78, 114)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^9 * Y1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 7, 43)(5, 41, 8, 44)(9, 45, 13, 49)(10, 46, 14, 50)(11, 47, 15, 51)(12, 48, 16, 52)(17, 53, 21, 57)(18, 54, 22, 58)(19, 55, 23, 59)(20, 56, 24, 60)(25, 61, 29, 65)(26, 62, 30, 66)(27, 63, 31, 67)(28, 64, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 104, 140, 96, 132, 88, 124, 80, 116, 74, 110, 78, 114, 85, 121, 93, 129, 101, 137, 100, 136, 92, 128, 84, 120, 77, 113)(76, 112, 82, 118, 90, 126, 98, 134, 105, 141, 108, 144, 103, 139, 95, 131, 87, 123, 79, 115, 86, 122, 94, 130, 102, 138, 107, 143, 106, 142, 99, 135, 91, 127, 83, 119)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 83)(6, 86)(7, 74)(8, 87)(9, 90)(10, 75)(11, 77)(12, 91)(13, 94)(14, 78)(15, 80)(16, 95)(17, 98)(18, 81)(19, 84)(20, 99)(21, 102)(22, 85)(23, 88)(24, 103)(25, 105)(26, 89)(27, 92)(28, 106)(29, 107)(30, 93)(31, 96)(32, 108)(33, 97)(34, 100)(35, 101)(36, 104)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = C18 x C2 (small group id <36, 5>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4 * Y1 * Y3 * Y2^5 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 6, 42)(4, 40, 7, 43)(5, 41, 8, 44)(9, 45, 13, 49)(10, 46, 14, 50)(11, 47, 15, 51)(12, 48, 16, 52)(17, 53, 21, 57)(18, 54, 22, 58)(19, 55, 23, 59)(20, 56, 24, 60)(25, 61, 29, 65)(26, 62, 30, 66)(27, 63, 31, 67)(28, 64, 32, 68)(33, 69, 35, 71)(34, 70, 36, 72)(73, 109, 75, 111, 81, 117, 89, 125, 97, 133, 105, 141, 103, 139, 95, 131, 87, 123, 79, 115, 86, 122, 94, 130, 102, 138, 108, 144, 100, 136, 92, 128, 84, 120, 77, 113)(74, 110, 78, 114, 85, 121, 93, 129, 101, 137, 107, 143, 99, 135, 91, 127, 83, 119, 76, 112, 82, 118, 90, 126, 98, 134, 106, 142, 104, 140, 96, 132, 88, 124, 80, 116)
	L = (1, 76)(2, 79)(3, 82)(4, 73)(5, 83)(6, 86)(7, 74)(8, 87)(9, 90)(10, 75)(11, 77)(12, 91)(13, 94)(14, 78)(15, 80)(16, 95)(17, 98)(18, 81)(19, 84)(20, 99)(21, 102)(22, 85)(23, 88)(24, 103)(25, 106)(26, 89)(27, 92)(28, 107)(29, 108)(30, 93)(31, 96)(32, 105)(33, 104)(34, 97)(35, 100)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2, Y3^-1), (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2^6 * Y3, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 7, 43)(6, 42, 8, 44)(11, 47, 21, 57)(12, 48, 22, 58)(13, 49, 20, 56)(14, 50, 19, 55)(15, 51, 17, 53)(16, 52, 18, 54)(23, 59, 33, 69)(24, 60, 34, 70)(25, 61, 32, 68)(26, 62, 31, 67)(27, 63, 29, 65)(28, 64, 30, 66)(35, 71, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 100, 136, 88, 124, 78, 114, 85, 121, 97, 133, 107, 143, 98, 134, 86, 122, 76, 112, 84, 120, 96, 132, 99, 135, 87, 123, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 106, 142, 94, 130, 82, 118, 91, 127, 103, 139, 108, 144, 104, 140, 92, 128, 80, 116, 90, 126, 102, 138, 105, 141, 93, 129, 81, 117)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 86)(6, 73)(7, 90)(8, 82)(9, 92)(10, 74)(11, 96)(12, 85)(13, 75)(14, 88)(15, 98)(16, 77)(17, 102)(18, 91)(19, 79)(20, 94)(21, 104)(22, 81)(23, 99)(24, 97)(25, 83)(26, 100)(27, 107)(28, 87)(29, 105)(30, 103)(31, 89)(32, 106)(33, 108)(34, 93)(35, 95)(36, 101)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.601
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y2^-1 * Y1)^2, (Y2, Y3^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^-1 * Y2^6, Y2^-3 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 7, 43)(6, 42, 8, 44)(11, 47, 21, 57)(12, 48, 22, 58)(13, 49, 20, 56)(14, 50, 19, 55)(15, 51, 17, 53)(16, 52, 18, 54)(23, 59, 33, 69)(24, 60, 34, 70)(25, 61, 32, 68)(26, 62, 31, 67)(27, 63, 29, 65)(28, 64, 30, 66)(35, 71, 36, 72)(73, 109, 75, 111, 83, 119, 95, 131, 98, 134, 86, 122, 76, 112, 84, 120, 96, 132, 107, 143, 100, 136, 88, 124, 78, 114, 85, 121, 97, 133, 99, 135, 87, 123, 77, 113)(74, 110, 79, 115, 89, 125, 101, 137, 104, 140, 92, 128, 80, 116, 90, 126, 102, 138, 108, 144, 106, 142, 94, 130, 82, 118, 91, 127, 103, 139, 105, 141, 93, 129, 81, 117)
	L = (1, 76)(2, 80)(3, 84)(4, 78)(5, 86)(6, 73)(7, 90)(8, 82)(9, 92)(10, 74)(11, 96)(12, 85)(13, 75)(14, 88)(15, 98)(16, 77)(17, 102)(18, 91)(19, 79)(20, 94)(21, 104)(22, 81)(23, 107)(24, 97)(25, 83)(26, 100)(27, 95)(28, 87)(29, 108)(30, 103)(31, 89)(32, 106)(33, 101)(34, 93)(35, 99)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.600
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^-2 * Y2^-2, (Y2^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-2 * Y3^7, (Y3 * Y2^-1)^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 7, 43)(6, 42, 8, 44)(11, 47, 19, 55)(12, 48, 17, 53)(13, 49, 20, 56)(14, 50, 16, 52)(15, 51, 18, 54)(21, 57, 28, 64)(22, 58, 27, 63)(23, 59, 26, 62)(24, 60, 25, 61)(29, 65, 35, 71)(30, 66, 36, 72)(31, 67, 33, 69)(32, 68, 34, 70)(73, 109, 75, 111, 83, 119, 93, 129, 101, 137, 104, 140, 95, 131, 87, 123, 76, 112, 84, 120, 78, 114, 85, 121, 94, 130, 102, 138, 103, 139, 96, 132, 86, 122, 77, 113)(74, 110, 79, 115, 88, 124, 97, 133, 105, 141, 108, 144, 99, 135, 92, 128, 80, 116, 89, 125, 82, 118, 90, 126, 98, 134, 106, 142, 107, 143, 100, 136, 91, 127, 81, 117)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 89)(8, 91)(9, 92)(10, 74)(11, 78)(12, 77)(13, 75)(14, 95)(15, 96)(16, 82)(17, 81)(18, 79)(19, 99)(20, 100)(21, 85)(22, 83)(23, 103)(24, 104)(25, 90)(26, 88)(27, 107)(28, 108)(29, 94)(30, 93)(31, 101)(32, 102)(33, 98)(34, 97)(35, 105)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.604
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-1, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y3^9 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 7, 43)(6, 42, 8, 44)(11, 47, 17, 53)(12, 48, 18, 54)(13, 49, 15, 51)(14, 50, 16, 52)(19, 55, 25, 61)(20, 56, 26, 62)(21, 57, 23, 59)(22, 58, 24, 60)(27, 63, 33, 69)(28, 64, 34, 70)(29, 65, 31, 67)(30, 66, 32, 68)(35, 71, 36, 72)(73, 109, 75, 111, 76, 112, 83, 119, 84, 120, 91, 127, 92, 128, 99, 135, 100, 136, 107, 143, 102, 138, 101, 137, 94, 130, 93, 129, 86, 122, 85, 121, 78, 114, 77, 113)(74, 110, 79, 115, 80, 116, 87, 123, 88, 124, 95, 131, 96, 132, 103, 139, 104, 140, 108, 144, 106, 142, 105, 141, 98, 134, 97, 133, 90, 126, 89, 125, 82, 118, 81, 117)
	L = (1, 76)(2, 80)(3, 83)(4, 84)(5, 75)(6, 73)(7, 87)(8, 88)(9, 79)(10, 74)(11, 91)(12, 92)(13, 77)(14, 78)(15, 95)(16, 96)(17, 81)(18, 82)(19, 99)(20, 100)(21, 85)(22, 86)(23, 103)(24, 104)(25, 89)(26, 90)(27, 107)(28, 102)(29, 93)(30, 94)(31, 108)(32, 106)(33, 97)(34, 98)(35, 101)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 18, 18})
Quotient :: dipole
Aut^+ = D36 (small group id <36, 4>)
Aut   = C2 x C2 x D18 (small group id <72, 17>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (Y3^-1, Y2), (R * Y2)^2, (Y2 * Y1)^2, Y3 * Y2^4, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3, Y3^18 ]
Map:: non-degenerate
	R = (1, 37, 2, 38)(3, 39, 9, 45)(4, 40, 10, 46)(5, 41, 7, 43)(6, 42, 8, 44)(11, 47, 24, 60)(12, 48, 25, 61)(13, 49, 23, 59)(14, 50, 26, 62)(15, 51, 21, 57)(16, 52, 19, 55)(17, 53, 20, 56)(18, 54, 22, 58)(27, 63, 35, 71)(28, 64, 36, 72)(29, 65, 34, 70)(30, 66, 32, 68)(31, 67, 33, 69)(73, 109, 75, 111, 83, 119, 89, 125, 78, 114, 85, 121, 99, 135, 103, 139, 90, 126, 101, 137, 86, 122, 100, 136, 102, 138, 87, 123, 76, 112, 84, 120, 88, 124, 77, 113)(74, 110, 79, 115, 91, 127, 97, 133, 82, 118, 93, 129, 104, 140, 108, 144, 98, 134, 106, 142, 94, 130, 105, 141, 107, 143, 95, 131, 80, 116, 92, 128, 96, 132, 81, 117)
	L = (1, 76)(2, 80)(3, 84)(4, 86)(5, 87)(6, 73)(7, 92)(8, 94)(9, 95)(10, 74)(11, 88)(12, 100)(13, 75)(14, 99)(15, 101)(16, 102)(17, 77)(18, 78)(19, 96)(20, 105)(21, 79)(22, 104)(23, 106)(24, 107)(25, 81)(26, 82)(27, 83)(28, 103)(29, 85)(30, 90)(31, 89)(32, 91)(33, 108)(34, 93)(35, 98)(36, 97)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 4, 36, 4, 36 ), ( 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.602
Graph:: bipartite
	v = 20 e = 72 f = 20
	degree seq :: [ 4^18, 36^2 ]

E17.605 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {18, 36, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^18 ]
Map:: non-degenerate
	R = (1, 3, 4, 8, 9, 12, 13, 16, 17, 20, 21, 24, 25, 28, 29, 32, 33, 36, 34, 35, 30, 31, 26, 27, 22, 23, 18, 19, 14, 15, 10, 11, 6, 7, 2, 5)(37, 38, 42, 46, 50, 54, 58, 62, 66, 70, 69, 65, 61, 57, 53, 49, 45, 40)(39, 41, 43, 47, 51, 55, 59, 63, 67, 71, 72, 68, 64, 60, 56, 52, 48, 44)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 72^18 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.609
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 36 f = 1
	degree seq :: [ 18^2, 36 ]

E17.606 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {18, 36, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1^4 * T2^-1 * T1, T1 * T2^2 * T1^2 * T2^4, T2^3 * T1^-1 * T2^5 * T1^-1, T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1, T1^-3 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 32, 22, 16, 6, 15, 27, 34, 24, 12, 4, 10, 20, 31, 36, 29, 18, 8, 2, 7, 17, 28, 33, 23, 11, 21, 14, 26, 35, 25, 13, 5)(37, 38, 42, 50, 56, 45, 53, 63, 71, 72, 66, 69, 60, 49, 54, 58, 47, 40)(39, 43, 51, 62, 67, 55, 64, 70, 61, 65, 68, 59, 48, 41, 44, 52, 57, 46)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 72^18 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.611
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 36 f = 1
	degree seq :: [ 18^2, 36 ]

E17.607 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {18, 36, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-4 * T2^4, T1^7 * T2^2, T2^36 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 34, 22, 32, 18, 8, 2, 7, 17, 31, 35, 23, 11, 21, 30, 16, 6, 15, 29, 36, 24, 12, 4, 10, 20, 28, 14, 27, 33, 25, 13, 5)(37, 38, 42, 50, 62, 71, 60, 49, 54, 66, 56, 45, 53, 65, 69, 58, 47, 40)(39, 43, 51, 63, 70, 59, 48, 41, 44, 52, 64, 55, 67, 72, 61, 68, 57, 46)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 72^18 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.610
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 36 f = 1
	degree seq :: [ 18^2, 36 ]

E17.608 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {18, 36, 36})
Quotient :: edge
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2^-1), T1^3 * T2^-3, T1^-11 * T2^-1, (T1^-1 * T2^-1)^18, T2^36 ]
Map:: non-degenerate
	R = (1, 3, 9, 14, 23, 30, 34, 31, 27, 20, 11, 18, 8, 2, 7, 17, 22, 29, 36, 32, 25, 21, 12, 4, 10, 16, 6, 15, 24, 28, 35, 33, 26, 19, 13, 5)(37, 38, 42, 50, 58, 64, 70, 68, 62, 56, 48, 41, 44, 52, 45, 53, 60, 66, 72, 69, 63, 57, 49, 54, 46, 39, 43, 51, 59, 65, 71, 67, 61, 55, 47, 40)
	L = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E17.612
Transitivity :: ET+
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.609 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {18, 36, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1, (F * T2)^2, (F * T1)^2, T1^18 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 4, 40, 8, 44, 9, 45, 12, 48, 13, 49, 16, 52, 17, 53, 20, 56, 21, 57, 24, 60, 25, 61, 28, 64, 29, 65, 32, 68, 33, 69, 36, 72, 34, 70, 35, 71, 30, 66, 31, 67, 26, 62, 27, 63, 22, 58, 23, 59, 18, 54, 19, 55, 14, 50, 15, 51, 10, 46, 11, 47, 6, 42, 7, 43, 2, 38, 5, 41)
	L = (1, 38)(2, 42)(3, 41)(4, 37)(5, 43)(6, 46)(7, 47)(8, 39)(9, 40)(10, 50)(11, 51)(12, 44)(13, 45)(14, 54)(15, 55)(16, 48)(17, 49)(18, 58)(19, 59)(20, 52)(21, 53)(22, 62)(23, 63)(24, 56)(25, 57)(26, 66)(27, 67)(28, 60)(29, 61)(30, 70)(31, 71)(32, 64)(33, 65)(34, 69)(35, 72)(36, 68)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.605
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 36 f = 3
	degree seq :: [ 72 ]

E17.610 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {18, 36, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-1 * T1^4 * T2^-1 * T1, T1 * T2^2 * T1^2 * T2^4, T2^3 * T1^-1 * T2^5 * T1^-1, T1^-2 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1, T1^-3 * T2^-3 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 19, 55, 30, 66, 32, 68, 22, 58, 16, 52, 6, 42, 15, 51, 27, 63, 34, 70, 24, 60, 12, 48, 4, 40, 10, 46, 20, 56, 31, 67, 36, 72, 29, 65, 18, 54, 8, 44, 2, 38, 7, 43, 17, 53, 28, 64, 33, 69, 23, 59, 11, 47, 21, 57, 14, 50, 26, 62, 35, 71, 25, 61, 13, 49, 5, 41)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 51)(8, 52)(9, 53)(10, 39)(11, 40)(12, 41)(13, 54)(14, 56)(15, 62)(16, 57)(17, 63)(18, 58)(19, 64)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 65)(26, 67)(27, 71)(28, 70)(29, 68)(30, 69)(31, 55)(32, 59)(33, 60)(34, 61)(35, 72)(36, 66)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.607
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 36 f = 3
	degree seq :: [ 72 ]

E17.611 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {18, 36, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-4 * T2^4, T1^7 * T2^2, T2^36 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 19, 55, 26, 62, 34, 70, 22, 58, 32, 68, 18, 54, 8, 44, 2, 38, 7, 43, 17, 53, 31, 67, 35, 71, 23, 59, 11, 47, 21, 57, 30, 66, 16, 52, 6, 42, 15, 51, 29, 65, 36, 72, 24, 60, 12, 48, 4, 40, 10, 46, 20, 56, 28, 64, 14, 50, 27, 63, 33, 69, 25, 61, 13, 49, 5, 41)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 51)(8, 52)(9, 53)(10, 39)(11, 40)(12, 41)(13, 54)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 68)(26, 71)(27, 70)(28, 55)(29, 69)(30, 56)(31, 72)(32, 57)(33, 58)(34, 59)(35, 60)(36, 61)
	local type(s) :: { ( 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36, 18, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.606
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 36 f = 3
	degree seq :: [ 72 ]

E17.612 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {18, 36, 36})
Quotient :: loop
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-4 * T2^4, T1^6 * T2^3, T2^18 ]
Map:: non-degenerate
	R = (1, 37, 3, 39, 9, 45, 19, 55, 26, 62, 35, 71, 23, 59, 11, 47, 21, 57, 30, 66, 16, 52, 6, 42, 15, 51, 29, 65, 33, 69, 25, 61, 13, 49, 5, 41)(2, 38, 7, 43, 17, 53, 31, 67, 36, 72, 24, 60, 12, 48, 4, 40, 10, 46, 20, 56, 28, 64, 14, 50, 27, 63, 34, 70, 22, 58, 32, 68, 18, 54, 8, 44)
	L = (1, 38)(2, 42)(3, 43)(4, 37)(5, 44)(6, 50)(7, 51)(8, 52)(9, 53)(10, 39)(11, 40)(12, 41)(13, 54)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 45)(21, 46)(22, 47)(23, 48)(24, 49)(25, 68)(26, 72)(27, 71)(28, 55)(29, 70)(30, 56)(31, 69)(32, 57)(33, 58)(34, 59)(35, 60)(36, 61)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible
Dual of E17.608
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.613 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^2 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^18, Y1^18 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 10, 46, 14, 50, 18, 54, 22, 58, 26, 62, 30, 66, 34, 70, 33, 69, 29, 65, 25, 61, 21, 57, 17, 53, 13, 49, 9, 45, 4, 40)(3, 39, 5, 41, 7, 43, 11, 47, 15, 51, 19, 55, 23, 59, 27, 63, 31, 67, 35, 71, 36, 72, 32, 68, 28, 64, 24, 60, 20, 56, 16, 52, 12, 48, 8, 44)(73, 109, 75, 111, 76, 112, 80, 116, 81, 117, 84, 120, 85, 121, 88, 124, 89, 125, 92, 128, 93, 129, 96, 132, 97, 133, 100, 136, 101, 137, 104, 140, 105, 141, 108, 144, 106, 142, 107, 143, 102, 138, 103, 139, 98, 134, 99, 135, 94, 130, 95, 131, 90, 126, 91, 127, 86, 122, 87, 123, 82, 118, 83, 119, 78, 114, 79, 115, 74, 110, 77, 113)
	L = (1, 76)(2, 73)(3, 80)(4, 81)(5, 75)(6, 74)(7, 77)(8, 84)(9, 85)(10, 78)(11, 79)(12, 88)(13, 89)(14, 82)(15, 83)(16, 92)(17, 93)(18, 86)(19, 87)(20, 96)(21, 97)(22, 90)(23, 91)(24, 100)(25, 101)(26, 94)(27, 95)(28, 104)(29, 105)(30, 98)(31, 99)(32, 108)(33, 106)(34, 102)(35, 103)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.618
Graph:: bipartite
	v = 3 e = 72 f = 37
	degree seq :: [ 36^2, 72 ]

E17.614 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (Y2^-1, Y3^-1), (R * Y2)^2, Y3^3 * Y2^4 * Y1^-1, Y1^3 * Y2^6, Y2 * Y1 * Y3^-3 * Y1 * Y2 * Y1 * Y3^-1, Y1^18, (Y1^-2 * Y3)^6, (Y2^-1 * Y3)^36 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 26, 62, 35, 71, 24, 60, 13, 49, 18, 54, 30, 66, 20, 56, 9, 45, 17, 53, 29, 65, 33, 69, 22, 58, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 27, 63, 34, 70, 23, 59, 12, 48, 5, 41, 8, 44, 16, 52, 28, 64, 19, 55, 31, 67, 36, 72, 25, 61, 32, 68, 21, 57, 10, 46)(73, 109, 75, 111, 81, 117, 91, 127, 98, 134, 106, 142, 94, 130, 104, 140, 90, 126, 80, 116, 74, 110, 79, 115, 89, 125, 103, 139, 107, 143, 95, 131, 83, 119, 93, 129, 102, 138, 88, 124, 78, 114, 87, 123, 101, 137, 108, 144, 96, 132, 84, 120, 76, 112, 82, 118, 92, 128, 100, 136, 86, 122, 99, 135, 105, 141, 97, 133, 85, 121, 77, 113)
	L = (1, 76)(2, 73)(3, 82)(4, 83)(5, 84)(6, 74)(7, 75)(8, 77)(9, 92)(10, 93)(11, 94)(12, 95)(13, 96)(14, 78)(15, 79)(16, 80)(17, 81)(18, 85)(19, 100)(20, 102)(21, 104)(22, 105)(23, 106)(24, 107)(25, 108)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 97)(33, 101)(34, 99)(35, 98)(36, 103)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.619
Graph:: bipartite
	v = 3 e = 72 f = 37
	degree seq :: [ 36^2, 72 ]

E17.615 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1^-1, Y2), (Y3^-1, Y2^-1), Y2 * Y1^-1 * Y3 * Y2^-1 * Y3^-2, Y2^-1 * Y1^3 * Y3^-2 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-3, Y1^4 * Y2^-2 * Y3^-1, Y2^3 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y1 * Y2 * Y1 * Y2^5 * Y3^-1, Y2^-1 * Y1 * Y2^-3 * Y3^2 * Y2^-2 * Y3^2, (Y1^-2 * Y3)^6, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^3 * Y1^-1 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 20, 56, 9, 45, 17, 53, 27, 63, 35, 71, 36, 72, 30, 66, 33, 69, 24, 60, 13, 49, 18, 54, 22, 58, 11, 47, 4, 40)(3, 39, 7, 43, 15, 51, 26, 62, 31, 67, 19, 55, 28, 64, 34, 70, 25, 61, 29, 65, 32, 68, 23, 59, 12, 48, 5, 41, 8, 44, 16, 52, 21, 57, 10, 46)(73, 109, 75, 111, 81, 117, 91, 127, 102, 138, 104, 140, 94, 130, 88, 124, 78, 114, 87, 123, 99, 135, 106, 142, 96, 132, 84, 120, 76, 112, 82, 118, 92, 128, 103, 139, 108, 144, 101, 137, 90, 126, 80, 116, 74, 110, 79, 115, 89, 125, 100, 136, 105, 141, 95, 131, 83, 119, 93, 129, 86, 122, 98, 134, 107, 143, 97, 133, 85, 121, 77, 113)
	L = (1, 76)(2, 73)(3, 82)(4, 83)(5, 84)(6, 74)(7, 75)(8, 77)(9, 92)(10, 93)(11, 94)(12, 95)(13, 96)(14, 78)(15, 79)(16, 80)(17, 81)(18, 85)(19, 103)(20, 86)(21, 88)(22, 90)(23, 104)(24, 105)(25, 106)(26, 87)(27, 89)(28, 91)(29, 97)(30, 108)(31, 98)(32, 101)(33, 102)(34, 100)(35, 99)(36, 107)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.620
Graph:: bipartite
	v = 3 e = 72 f = 37
	degree seq :: [ 36^2, 72 ]

E17.616 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1, Y2^-1), (R * Y3)^2, (R * Y1)^2, Y1^3 * Y2^-3, Y1^-10 * Y2^-2, (Y3^-1 * Y1^-1)^18, Y2^36 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 22, 58, 28, 64, 34, 70, 33, 69, 27, 63, 21, 57, 13, 49, 18, 54, 10, 46, 3, 39, 7, 43, 15, 51, 23, 59, 29, 65, 35, 71, 32, 68, 26, 62, 20, 56, 12, 48, 5, 41, 8, 44, 16, 52, 9, 45, 17, 53, 24, 60, 30, 66, 36, 72, 31, 67, 25, 61, 19, 55, 11, 47, 4, 40)(73, 109, 75, 111, 81, 117, 86, 122, 95, 131, 102, 138, 106, 142, 104, 140, 97, 133, 93, 129, 84, 120, 76, 112, 82, 118, 88, 124, 78, 114, 87, 123, 96, 132, 100, 136, 107, 143, 103, 139, 99, 135, 92, 128, 83, 119, 90, 126, 80, 116, 74, 110, 79, 115, 89, 125, 94, 130, 101, 137, 108, 144, 105, 141, 98, 134, 91, 127, 85, 121, 77, 113)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 86)(10, 88)(11, 90)(12, 76)(13, 77)(14, 95)(15, 96)(16, 78)(17, 94)(18, 80)(19, 85)(20, 83)(21, 84)(22, 101)(23, 102)(24, 100)(25, 93)(26, 91)(27, 92)(28, 107)(29, 108)(30, 106)(31, 99)(32, 97)(33, 98)(34, 104)(35, 103)(36, 105)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.617
Graph:: bipartite
	v = 2 e = 72 f = 38
	degree seq :: [ 72^2 ]

E17.617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (R * Y2)^2, Y2^3 * Y3 * Y2 * Y3 * Y2, Y2 * Y3^-1 * Y2 * Y3^-5 * Y2, Y3^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-3 * Y2^-2, (Y3^-1 * Y1^-1)^36 ]
Map::
	R = (1, 37)(2, 38)(3, 39)(4, 40)(5, 41)(6, 42)(7, 43)(8, 44)(9, 45)(10, 46)(11, 47)(12, 48)(13, 49)(14, 50)(15, 51)(16, 52)(17, 53)(18, 54)(19, 55)(20, 56)(21, 57)(22, 58)(23, 59)(24, 60)(25, 61)(26, 62)(27, 63)(28, 64)(29, 65)(30, 66)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(73, 109, 74, 110, 78, 114, 86, 122, 96, 132, 85, 121, 90, 126, 99, 135, 102, 138, 108, 144, 107, 143, 104, 140, 92, 128, 81, 117, 89, 125, 94, 130, 83, 119, 76, 112)(75, 111, 79, 115, 87, 123, 95, 131, 84, 120, 77, 113, 80, 116, 88, 124, 98, 134, 106, 142, 97, 133, 101, 137, 103, 139, 91, 127, 100, 136, 105, 141, 93, 129, 82, 118)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 92)(11, 93)(12, 76)(13, 77)(14, 95)(15, 94)(16, 78)(17, 100)(18, 80)(19, 102)(20, 103)(21, 104)(22, 105)(23, 83)(24, 84)(25, 85)(26, 86)(27, 88)(28, 108)(29, 90)(30, 98)(31, 99)(32, 101)(33, 107)(34, 96)(35, 97)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72, 72 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.616
Graph:: simple bipartite
	v = 38 e = 72 f = 2
	degree seq :: [ 2^36, 36^2 ]

E17.618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3 * Y1^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^18, (Y3 * Y2^-1)^18 ]
Map::
	R = (1, 37, 2, 38, 5, 41, 6, 42, 9, 45, 10, 46, 13, 49, 14, 50, 17, 53, 18, 54, 21, 57, 22, 58, 25, 61, 26, 62, 29, 65, 30, 66, 33, 69, 34, 70, 35, 71, 36, 72, 31, 67, 32, 68, 27, 63, 28, 64, 23, 59, 24, 60, 19, 55, 20, 56, 15, 51, 16, 52, 11, 47, 12, 48, 7, 43, 8, 44, 3, 39, 4, 40)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 76)(3, 79)(4, 80)(5, 73)(6, 74)(7, 83)(8, 84)(9, 77)(10, 78)(11, 87)(12, 88)(13, 81)(14, 82)(15, 91)(16, 92)(17, 85)(18, 86)(19, 95)(20, 96)(21, 89)(22, 90)(23, 99)(24, 100)(25, 93)(26, 94)(27, 103)(28, 104)(29, 97)(30, 98)(31, 107)(32, 108)(33, 101)(34, 102)(35, 105)(36, 106)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.613
Graph:: bipartite
	v = 37 e = 72 f = 3
	degree seq :: [ 2^36, 72 ]

E17.619 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-5 * Y1^2, Y1^-3 * Y3^3 * Y1 * Y3^2, Y3^3 * Y1^6, Y3 * Y1 * Y3^2 * Y1^5, (Y3 * Y2^-1)^18, (Y1^-1 * Y3^-1)^36 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 26, 62, 35, 71, 25, 61, 20, 56, 9, 45, 17, 53, 29, 65, 33, 69, 23, 59, 12, 48, 5, 41, 8, 44, 16, 52, 28, 64, 36, 72, 31, 67, 21, 57, 10, 46, 3, 39, 7, 43, 15, 51, 27, 63, 34, 70, 24, 60, 13, 49, 18, 54, 19, 55, 30, 66, 32, 68, 22, 58, 11, 47, 4, 40)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 92)(11, 93)(12, 76)(13, 77)(14, 99)(15, 101)(16, 78)(17, 102)(18, 80)(19, 88)(20, 90)(21, 97)(22, 103)(23, 83)(24, 84)(25, 85)(26, 106)(27, 105)(28, 86)(29, 104)(30, 100)(31, 107)(32, 108)(33, 94)(34, 95)(35, 96)(36, 98)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.614
Graph:: bipartite
	v = 37 e = 72 f = 3
	degree seq :: [ 2^36, 72 ]

E17.620 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {18, 36, 36})
Quotient :: dipole
Aut^+ = C36 (small group id <36, 2>)
Aut   = D72 (small group id <72, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-2, Y1^4 * Y3 * Y1 * Y3^2 * Y1, (Y3 * Y2^-1)^18, (Y1^-1 * Y3^-1)^36 ]
Map::
	R = (1, 37, 2, 38, 6, 42, 14, 50, 26, 62, 36, 72, 25, 61, 32, 68, 21, 57, 10, 46, 3, 39, 7, 43, 15, 51, 27, 63, 35, 71, 24, 60, 13, 49, 18, 54, 30, 66, 20, 56, 9, 45, 17, 53, 29, 65, 34, 70, 23, 59, 12, 48, 5, 41, 8, 44, 16, 52, 28, 64, 19, 55, 31, 67, 33, 69, 22, 58, 11, 47, 4, 40)(73, 109)(74, 110)(75, 111)(76, 112)(77, 113)(78, 114)(79, 115)(80, 116)(81, 117)(82, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 132)(97, 133)(98, 134)(99, 135)(100, 136)(101, 137)(102, 138)(103, 139)(104, 140)(105, 141)(106, 142)(107, 143)(108, 144)
	L = (1, 75)(2, 79)(3, 81)(4, 82)(5, 73)(6, 87)(7, 89)(8, 74)(9, 91)(10, 92)(11, 93)(12, 76)(13, 77)(14, 99)(15, 101)(16, 78)(17, 103)(18, 80)(19, 98)(20, 100)(21, 102)(22, 104)(23, 83)(24, 84)(25, 85)(26, 107)(27, 106)(28, 86)(29, 105)(30, 88)(31, 108)(32, 90)(33, 97)(34, 94)(35, 95)(36, 96)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 36, 72 ), ( 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72, 36, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.615
Graph:: bipartite
	v = 37 e = 72 f = 3
	degree seq :: [ 2^36, 72 ]

E17.621 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y2)^2, Y2^-1 * Y1 * Y2 * Y1, Y3 * Y2 * Y3 * Y2^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 11, 51)(5, 45, 8, 48)(7, 47, 15, 55)(9, 49, 13, 53)(10, 50, 18, 58)(12, 52, 20, 60)(14, 54, 22, 62)(16, 56, 24, 64)(17, 57, 25, 65)(19, 59, 27, 67)(21, 61, 29, 69)(23, 63, 31, 71)(26, 66, 34, 74)(28, 68, 35, 75)(30, 70, 37, 77)(32, 72, 38, 78)(33, 73, 39, 79)(36, 76, 40, 80)(81, 121, 83, 123, 89, 129, 85, 125)(82, 122, 86, 126, 93, 133, 88, 128)(84, 124, 90, 130, 97, 137, 92, 132)(87, 127, 94, 134, 101, 141, 96, 136)(91, 131, 98, 138, 105, 145, 100, 140)(95, 135, 102, 142, 109, 149, 104, 144)(99, 139, 106, 146, 113, 153, 108, 148)(103, 143, 110, 150, 116, 156, 112, 152)(107, 147, 114, 154, 119, 159, 115, 155)(111, 151, 117, 157, 120, 160, 118, 158)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 92)(6, 94)(7, 82)(8, 96)(9, 97)(10, 83)(11, 99)(12, 85)(13, 101)(14, 86)(15, 103)(16, 88)(17, 89)(18, 106)(19, 91)(20, 108)(21, 93)(22, 110)(23, 95)(24, 112)(25, 113)(26, 98)(27, 111)(28, 100)(29, 116)(30, 102)(31, 107)(32, 104)(33, 105)(34, 117)(35, 118)(36, 109)(37, 114)(38, 115)(39, 120)(40, 119)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.626
Graph:: simple bipartite
	v = 30 e = 80 f = 18
	degree seq :: [ 4^20, 8^10 ]

E17.622 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
Quotient :: dipole
Aut^+ = C4 x D10 (small group id <40, 5>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3 * Y1)^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 18, 58)(8, 48, 20, 60)(10, 50, 16, 56)(11, 51, 17, 57)(13, 53, 19, 59)(21, 61, 31, 71)(22, 62, 33, 73)(23, 63, 34, 74)(24, 64, 32, 72)(25, 65, 35, 75)(26, 66, 36, 76)(27, 67, 38, 78)(28, 68, 39, 79)(29, 69, 37, 77)(30, 70, 40, 80)(81, 121, 83, 123, 90, 130, 85, 125)(82, 122, 86, 126, 96, 136, 88, 128)(84, 124, 91, 131, 104, 144, 93, 133)(87, 127, 97, 137, 109, 149, 99, 139)(89, 129, 101, 141, 94, 134, 103, 143)(92, 132, 102, 142, 112, 152, 105, 145)(95, 135, 106, 146, 100, 140, 108, 148)(98, 138, 107, 147, 117, 157, 110, 150)(111, 151, 120, 160, 114, 154, 118, 158)(113, 153, 116, 156, 115, 155, 119, 159)
	L = (1, 84)(2, 87)(3, 91)(4, 81)(5, 93)(6, 97)(7, 82)(8, 99)(9, 102)(10, 104)(11, 83)(12, 103)(13, 85)(14, 105)(15, 107)(16, 109)(17, 86)(18, 108)(19, 88)(20, 110)(21, 112)(22, 89)(23, 92)(24, 90)(25, 94)(26, 117)(27, 95)(28, 98)(29, 96)(30, 100)(31, 116)(32, 101)(33, 118)(34, 119)(35, 120)(36, 111)(37, 106)(38, 113)(39, 114)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.625
Graph:: simple bipartite
	v = 30 e = 80 f = 18
	degree seq :: [ 4^20, 8^10 ]

E17.623 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
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, Y2^2 * Y1^2, (Y2, Y1), (R * Y2)^2, (Y2, Y3^-1), (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, Y2^4, Y2^-1 * Y3^5 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 9, 49, 6, 46, 11, 51)(4, 44, 15, 55, 21, 61, 12, 52)(7, 47, 18, 58, 22, 62, 10, 50)(13, 53, 27, 67, 17, 57, 24, 64)(14, 54, 26, 66, 19, 59, 23, 63)(16, 56, 28, 68, 35, 75, 31, 71)(20, 60, 25, 65, 36, 76, 33, 73)(29, 69, 38, 78, 32, 72, 40, 80)(30, 70, 37, 77, 34, 74, 39, 79)(81, 121, 83, 123, 88, 128, 86, 126)(82, 122, 89, 129, 85, 125, 91, 131)(84, 124, 93, 133, 101, 141, 97, 137)(87, 127, 94, 134, 102, 142, 99, 139)(90, 130, 103, 143, 98, 138, 106, 146)(92, 132, 104, 144, 95, 135, 107, 147)(96, 136, 109, 149, 115, 155, 112, 152)(100, 140, 110, 150, 116, 156, 114, 154)(105, 145, 117, 157, 113, 153, 119, 159)(108, 148, 118, 158, 111, 151, 120, 160)
	L = (1, 84)(2, 90)(3, 93)(4, 96)(5, 98)(6, 97)(7, 81)(8, 101)(9, 103)(10, 105)(11, 106)(12, 82)(13, 109)(14, 83)(15, 85)(16, 110)(17, 112)(18, 113)(19, 86)(20, 87)(21, 115)(22, 88)(23, 117)(24, 89)(25, 118)(26, 119)(27, 91)(28, 92)(29, 116)(30, 94)(31, 95)(32, 100)(33, 120)(34, 99)(35, 114)(36, 102)(37, 111)(38, 104)(39, 108)(40, 107)(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, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.624
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
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, Y2^2, (Y1^-1 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, Y3^4, Y1^5 ]
Map:: polytopal non-degenerate
	R = (1, 41, 2, 42, 7, 47, 16, 56, 5, 45)(3, 43, 11, 51, 24, 64, 18, 58, 8, 48)(4, 44, 14, 54, 28, 68, 19, 59, 9, 49)(6, 46, 17, 57, 30, 70, 20, 60, 10, 50)(12, 52, 21, 61, 31, 71, 35, 75, 25, 65)(13, 53, 22, 62, 32, 72, 36, 76, 26, 66)(15, 55, 23, 63, 33, 73, 38, 78, 29, 69)(27, 67, 37, 77, 40, 80, 39, 79, 34, 74)(81, 121, 83, 123)(82, 122, 88, 128)(84, 124, 92, 132)(85, 125, 91, 131)(86, 126, 93, 133)(87, 127, 98, 138)(89, 129, 101, 141)(90, 130, 102, 142)(94, 134, 105, 145)(95, 135, 107, 147)(96, 136, 104, 144)(97, 137, 106, 146)(99, 139, 111, 151)(100, 140, 112, 152)(103, 143, 114, 154)(108, 148, 115, 155)(109, 149, 117, 157)(110, 150, 116, 156)(113, 153, 119, 159)(118, 158, 120, 160)
	L = (1, 84)(2, 89)(3, 92)(4, 95)(5, 94)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 109)(15, 86)(16, 108)(17, 85)(18, 111)(19, 113)(20, 87)(21, 114)(22, 88)(23, 90)(24, 115)(25, 117)(26, 91)(27, 93)(28, 118)(29, 97)(30, 96)(31, 119)(32, 98)(33, 100)(34, 102)(35, 120)(36, 104)(37, 106)(38, 110)(39, 112)(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) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.623
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
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, Y3^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, (R * Y3)^2, (R * Y1)^2, (Y2^-1, Y1^-1), Y1^4, Y2^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 8, 48, 18, 58, 13, 53)(4, 44, 9, 49, 19, 59, 15, 55)(6, 46, 10, 50, 20, 60, 16, 56)(11, 51, 21, 61, 31, 71, 26, 66)(12, 52, 22, 62, 32, 72, 27, 67)(14, 54, 23, 63, 33, 73, 29, 69)(17, 57, 24, 64, 34, 74, 30, 70)(25, 65, 35, 75, 39, 79, 37, 77)(28, 68, 36, 76, 40, 80, 38, 78)(81, 121, 83, 123, 91, 131, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 104, 144, 90, 130)(84, 124, 94, 134, 108, 148, 105, 145, 92, 132)(85, 125, 93, 133, 106, 146, 110, 150, 96, 136)(87, 127, 98, 138, 111, 151, 114, 154, 100, 140)(89, 129, 103, 143, 116, 156, 115, 155, 102, 142)(95, 135, 109, 149, 118, 158, 117, 157, 107, 147)(99, 139, 113, 153, 120, 160, 119, 159, 112, 152)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 95)(6, 94)(7, 99)(8, 102)(9, 82)(10, 103)(11, 105)(12, 83)(13, 107)(14, 86)(15, 85)(16, 109)(17, 108)(18, 112)(19, 87)(20, 113)(21, 115)(22, 88)(23, 90)(24, 116)(25, 91)(26, 117)(27, 93)(28, 97)(29, 96)(30, 118)(31, 119)(32, 98)(33, 100)(34, 120)(35, 101)(36, 104)(37, 106)(38, 110)(39, 111)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.622
Graph:: simple bipartite
	v = 18 e = 80 f = 30
	degree seq :: [ 8^10, 10^8 ]

E17.626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
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, Y3^2, R * Y2 * R * Y2^-1, Y1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (R * Y1)^2, (Y2^-1 * Y3)^2, (R * Y3)^2, Y1^4, Y2^5 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 7, 47, 5, 45)(3, 43, 10, 50, 18, 58, 13, 53)(4, 44, 9, 49, 19, 59, 15, 55)(6, 46, 8, 48, 20, 60, 16, 56)(11, 51, 24, 64, 31, 71, 26, 66)(12, 52, 23, 63, 32, 72, 27, 67)(14, 54, 22, 62, 33, 73, 29, 69)(17, 57, 21, 61, 34, 74, 30, 70)(25, 65, 36, 76, 39, 79, 37, 77)(28, 68, 35, 75, 40, 80, 38, 78)(81, 121, 83, 123, 91, 131, 97, 137, 86, 126)(82, 122, 88, 128, 101, 141, 104, 144, 90, 130)(84, 124, 94, 134, 108, 148, 105, 145, 92, 132)(85, 125, 96, 136, 110, 150, 106, 146, 93, 133)(87, 127, 98, 138, 111, 151, 114, 154, 100, 140)(89, 129, 103, 143, 116, 156, 115, 155, 102, 142)(95, 135, 107, 147, 117, 157, 118, 158, 109, 149)(99, 139, 113, 153, 120, 160, 119, 159, 112, 152)
	L = (1, 84)(2, 89)(3, 92)(4, 81)(5, 95)(6, 94)(7, 99)(8, 102)(9, 82)(10, 103)(11, 105)(12, 83)(13, 107)(14, 86)(15, 85)(16, 109)(17, 108)(18, 112)(19, 87)(20, 113)(21, 115)(22, 88)(23, 90)(24, 116)(25, 91)(26, 117)(27, 93)(28, 97)(29, 96)(30, 118)(31, 119)(32, 98)(33, 100)(34, 120)(35, 101)(36, 104)(37, 106)(38, 110)(39, 111)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.621
Graph:: simple bipartite
	v = 18 e = 80 f = 30
	degree seq :: [ 8^10, 10^8 ]

E17.627 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1, Y2^4, Y3^-5 * Y1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 8, 48)(5, 45, 9, 49)(6, 46, 10, 50)(11, 51, 18, 58)(12, 52, 19, 59)(13, 53, 20, 60)(14, 54, 21, 61)(15, 55, 22, 62)(16, 56, 23, 63)(17, 57, 24, 64)(25, 65, 31, 71)(26, 66, 32, 72)(27, 67, 33, 73)(28, 68, 34, 74)(29, 69, 35, 75)(30, 70, 36, 76)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 85, 125)(82, 122, 87, 127, 98, 138, 89, 129)(84, 124, 93, 133, 105, 145, 95, 135)(86, 126, 92, 132, 106, 146, 96, 136)(88, 128, 100, 140, 111, 151, 102, 142)(90, 130, 99, 139, 112, 152, 103, 143)(94, 134, 108, 148, 117, 157, 109, 149)(97, 137, 107, 147, 118, 158, 110, 150)(101, 141, 114, 154, 119, 159, 115, 155)(104, 144, 113, 153, 120, 160, 116, 156)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 96)(6, 81)(7, 99)(8, 101)(9, 103)(10, 82)(11, 105)(12, 107)(13, 83)(14, 104)(15, 85)(16, 110)(17, 86)(18, 111)(19, 113)(20, 87)(21, 97)(22, 89)(23, 116)(24, 90)(25, 117)(26, 91)(27, 114)(28, 93)(29, 95)(30, 115)(31, 119)(32, 98)(33, 108)(34, 100)(35, 102)(36, 109)(37, 120)(38, 106)(39, 118)(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, 10, 8, 10 ), ( 8, 10, 8, 10, 8, 10, 8, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.628
Graph:: simple bipartite
	v = 30 e = 80 f = 18
	degree seq :: [ 4^20, 8^10 ]

E17.628 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 4, 5})
Quotient :: dipole
Aut^+ = C2 x (C5 : C4) (small group id <40, 7>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, (Y3^-1 * Y2)^2, Y3^2 * Y2^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y3^2 * Y2^3, Y3^2 * Y1^-1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42, 8, 48, 5, 45)(3, 43, 11, 51, 22, 62, 15, 55)(4, 44, 12, 52, 23, 63, 17, 57)(6, 46, 9, 49, 24, 64, 18, 58)(7, 47, 10, 50, 25, 65, 19, 59)(13, 53, 29, 69, 36, 76, 31, 71)(14, 54, 30, 70, 37, 77, 32, 72)(16, 56, 28, 68, 38, 78, 33, 73)(20, 60, 26, 66, 39, 79, 34, 74)(21, 61, 27, 67, 40, 80, 35, 75)(81, 121, 83, 123, 93, 133, 100, 140, 86, 126)(82, 122, 89, 129, 106, 146, 109, 149, 91, 131)(84, 124, 94, 134, 101, 141, 87, 127, 96, 136)(85, 125, 98, 138, 114, 154, 111, 151, 95, 135)(88, 128, 102, 142, 116, 156, 119, 159, 104, 144)(90, 130, 107, 147, 110, 150, 92, 132, 108, 148)(97, 137, 113, 153, 99, 139, 115, 155, 112, 152)(103, 143, 117, 157, 120, 160, 105, 145, 118, 158)
	L = (1, 84)(2, 90)(3, 94)(4, 93)(5, 99)(6, 96)(7, 81)(8, 103)(9, 107)(10, 106)(11, 108)(12, 82)(13, 101)(14, 100)(15, 113)(16, 83)(17, 85)(18, 115)(19, 114)(20, 87)(21, 86)(22, 117)(23, 116)(24, 118)(25, 88)(26, 110)(27, 109)(28, 89)(29, 92)(30, 91)(31, 97)(32, 95)(33, 98)(34, 112)(35, 111)(36, 120)(37, 119)(38, 102)(39, 105)(40, 104)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.627
Graph:: simple bipartite
	v = 18 e = 80 f = 30
	degree seq :: [ 8^10, 10^8 ]

E17.629 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 5})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y1^-1 * Y2 * Y1 * Y3, Y1^2 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2 * Y3^2, Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y3^2, Y2 * Y3 * Y2^-1 * Y3^-2, Y3^5, Y1 * Y2 * Y1 * Y3^-1 * Y2, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44, 19, 59, 33, 73, 7, 47)(2, 42, 10, 50, 17, 57, 29, 69, 12, 52)(3, 43, 15, 55, 30, 70, 18, 58, 16, 56)(5, 45, 23, 63, 31, 71, 20, 60, 25, 65)(6, 46, 26, 66, 21, 61, 32, 72, 28, 68)(8, 48, 14, 54, 36, 76, 39, 79, 34, 74)(9, 49, 35, 75, 27, 67, 24, 64, 13, 53)(11, 51, 37, 77, 22, 62, 40, 80, 38, 78)(81, 82, 88, 85)(83, 93, 108, 91)(84, 97, 114, 100)(86, 102, 96, 107)(87, 109, 94, 111)(89, 106, 118, 98)(90, 116, 105, 113)(92, 119, 103, 99)(95, 115, 112, 120)(101, 117, 110, 104)(121, 123, 134, 126)(122, 129, 143, 131)(124, 138, 128, 141)(125, 142, 130, 144)(127, 150, 156, 152)(132, 147, 151, 160)(133, 140, 157, 149)(135, 154, 148, 139)(136, 159, 146, 153)(137, 155, 145, 158)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.632
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.630 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 4, 4, 5})
Quotient :: edge^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, Y1^4, Y2 * Y3 * Y2^-1 * Y3, R * Y2 * R * Y1, (Y2^-1 * Y1)^2, Y2^4, (Y3 * Y2 * Y1^-1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y1 * Y2, Y1^2 * Y2^-2 * Y1 * Y2 * Y3, Y1^-2 * Y2^-1 * Y3 * Y1^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 13, 53)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 20, 60)(8, 48, 24, 64)(10, 50, 25, 65)(11, 51, 28, 68)(12, 52, 31, 71)(16, 56, 32, 72)(17, 57, 33, 73)(18, 58, 34, 74)(19, 59, 38, 78)(21, 61, 30, 70)(22, 62, 29, 69)(23, 63, 37, 77)(26, 66, 36, 76)(27, 67, 35, 75)(39, 79, 40, 80)(81, 82, 87, 85)(83, 91, 106, 90)(84, 89, 100, 94)(86, 96, 115, 98)(88, 102, 111, 101)(92, 110, 104, 109)(93, 108, 116, 105)(95, 112, 107, 114)(97, 99, 119, 117)(103, 113, 118, 120)(121, 123, 132, 126)(122, 128, 143, 130)(124, 133, 151, 135)(125, 136, 156, 137)(127, 139, 154, 141)(129, 144, 157, 145)(131, 147, 159, 149)(134, 152, 146, 153)(138, 150, 140, 158)(142, 148, 155, 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) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.631
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.631 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 5})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ R^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y2^4, Y2^-1 * Y1^-1 * Y2 * Y1 * Y3, Y1^2 * Y2^-2 * Y3^-1, Y2^-1 * Y3 * Y2 * Y3^2, Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1 * Y3 * Y1^-1 * Y3^2, Y2 * Y3 * Y2^-1 * Y3^-2, Y3^5, Y1 * Y2 * Y1 * Y3^-1 * Y2, (Y1^-1 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124, 19, 59, 99, 139, 33, 73, 113, 153, 7, 47, 87, 127)(2, 42, 82, 122, 10, 50, 90, 130, 17, 57, 97, 137, 29, 69, 109, 149, 12, 52, 92, 132)(3, 43, 83, 123, 15, 55, 95, 135, 30, 70, 110, 150, 18, 58, 98, 138, 16, 56, 96, 136)(5, 45, 85, 125, 23, 63, 103, 143, 31, 71, 111, 151, 20, 60, 100, 140, 25, 65, 105, 145)(6, 46, 86, 126, 26, 66, 106, 146, 21, 61, 101, 141, 32, 72, 112, 152, 28, 68, 108, 148)(8, 48, 88, 128, 14, 54, 94, 134, 36, 76, 116, 156, 39, 79, 119, 159, 34, 74, 114, 154)(9, 49, 89, 129, 35, 75, 115, 155, 27, 67, 107, 147, 24, 64, 104, 144, 13, 53, 93, 133)(11, 51, 91, 131, 37, 77, 117, 157, 22, 62, 102, 142, 40, 80, 120, 160, 38, 78, 118, 158)
	L = (1, 42)(2, 48)(3, 53)(4, 57)(5, 41)(6, 62)(7, 69)(8, 45)(9, 66)(10, 76)(11, 43)(12, 79)(13, 68)(14, 71)(15, 75)(16, 67)(17, 74)(18, 49)(19, 52)(20, 44)(21, 77)(22, 56)(23, 59)(24, 61)(25, 73)(26, 78)(27, 46)(28, 51)(29, 54)(30, 64)(31, 47)(32, 80)(33, 50)(34, 60)(35, 72)(36, 65)(37, 70)(38, 58)(39, 63)(40, 55)(81, 123)(82, 129)(83, 134)(84, 138)(85, 142)(86, 121)(87, 150)(88, 141)(89, 143)(90, 144)(91, 122)(92, 147)(93, 140)(94, 126)(95, 154)(96, 159)(97, 155)(98, 128)(99, 135)(100, 157)(101, 124)(102, 130)(103, 131)(104, 125)(105, 158)(106, 153)(107, 151)(108, 139)(109, 133)(110, 156)(111, 160)(112, 127)(113, 136)(114, 148)(115, 145)(116, 152)(117, 149)(118, 137)(119, 146)(120, 132)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.630
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.632 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 4, 4, 5})
Quotient :: loop^2
Aut^+ = C2 x (C5 : C4) (small group id <40, 12>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y3 * Y1^-1 * Y3, (R * Y3)^2, Y1^4, Y2 * Y3 * Y2^-1 * Y3, R * Y2 * R * Y1, (Y2^-1 * Y1)^2, Y2^4, (Y3 * Y2 * Y1^-1)^2, Y1^-2 * Y2 * Y3 * Y2 * Y1 * Y2, Y1^2 * Y2^-2 * Y1 * Y2 * Y3, Y1^-2 * Y2^-1 * Y3 * Y1^-1 * Y2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 13, 53, 93, 133)(5, 45, 85, 125, 14, 54, 94, 134)(6, 46, 86, 126, 15, 55, 95, 135)(7, 47, 87, 127, 20, 60, 100, 140)(8, 48, 88, 128, 24, 64, 104, 144)(10, 50, 90, 130, 25, 65, 105, 145)(11, 51, 91, 131, 28, 68, 108, 148)(12, 52, 92, 132, 31, 71, 111, 151)(16, 56, 96, 136, 32, 72, 112, 152)(17, 57, 97, 137, 33, 73, 113, 153)(18, 58, 98, 138, 34, 74, 114, 154)(19, 59, 99, 139, 38, 78, 118, 158)(21, 61, 101, 141, 30, 70, 110, 150)(22, 62, 102, 142, 29, 69, 109, 149)(23, 63, 103, 143, 37, 77, 117, 157)(26, 66, 106, 146, 36, 76, 116, 156)(27, 67, 107, 147, 35, 75, 115, 155)(39, 79, 119, 159, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 51)(4, 49)(5, 41)(6, 56)(7, 45)(8, 62)(9, 60)(10, 43)(11, 66)(12, 70)(13, 68)(14, 44)(15, 72)(16, 75)(17, 59)(18, 46)(19, 79)(20, 54)(21, 48)(22, 71)(23, 73)(24, 69)(25, 53)(26, 50)(27, 74)(28, 76)(29, 52)(30, 64)(31, 61)(32, 67)(33, 78)(34, 55)(35, 58)(36, 65)(37, 57)(38, 80)(39, 77)(40, 63)(81, 123)(82, 128)(83, 132)(84, 133)(85, 136)(86, 121)(87, 139)(88, 143)(89, 144)(90, 122)(91, 147)(92, 126)(93, 151)(94, 152)(95, 124)(96, 156)(97, 125)(98, 150)(99, 154)(100, 158)(101, 127)(102, 148)(103, 130)(104, 157)(105, 129)(106, 153)(107, 159)(108, 155)(109, 131)(110, 140)(111, 135)(112, 146)(113, 134)(114, 141)(115, 160)(116, 137)(117, 145)(118, 138)(119, 149)(120, 142)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.629
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.633 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y2 * Y3, R * Y2 * R * Y3, (R * Y1)^2, Y1 * Y2 * Y1^-2 * Y3 * Y1, Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3, Y1^10 ]
Map::
	R = (1, 42, 2, 45, 5, 51, 11, 60, 20, 69, 29, 68, 28, 59, 19, 50, 10, 44, 4, 41)(3, 47, 7, 52, 12, 62, 22, 70, 30, 77, 37, 74, 34, 66, 26, 57, 17, 48, 8, 43)(6, 53, 13, 61, 21, 71, 31, 76, 36, 75, 35, 67, 27, 58, 18, 49, 9, 54, 14, 46)(15, 63, 23, 72, 32, 78, 38, 80, 40, 79, 39, 73, 33, 65, 25, 56, 16, 64, 24, 55)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 36)(31, 38)(35, 39)(37, 40)(41, 43)(42, 46)(44, 49)(45, 52)(47, 55)(48, 56)(50, 57)(51, 61)(53, 63)(54, 64)(58, 65)(59, 67)(60, 70)(62, 72)(66, 73)(68, 74)(69, 76)(71, 78)(75, 79)(77, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.634 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, (Y2 * Y1^-2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, Y1^10 ]
Map::
	R = (1, 42, 2, 45, 5, 51, 11, 60, 20, 69, 29, 68, 28, 59, 19, 50, 10, 44, 4, 41)(3, 47, 7, 55, 15, 65, 25, 73, 33, 77, 37, 70, 30, 62, 22, 52, 12, 48, 8, 43)(6, 53, 13, 49, 9, 58, 18, 67, 27, 75, 35, 76, 36, 71, 31, 61, 21, 54, 14, 46)(16, 63, 23, 57, 17, 64, 24, 72, 32, 78, 38, 80, 40, 79, 39, 74, 34, 66, 26, 56)
	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, 36)(31, 38)(35, 39)(37, 40)(41, 43)(42, 46)(44, 49)(45, 52)(47, 56)(48, 57)(50, 55)(51, 61)(53, 63)(54, 64)(58, 66)(59, 67)(60, 70)(62, 72)(65, 74)(68, 73)(69, 76)(71, 78)(75, 79)(77, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.635 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1 * Y3)^2, Y1 * Y2 * Y3 * Y2 * Y3 * Y1, Y1 * Y3 * Y1^-2 * Y2 * Y1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y1^-4, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 58, 18, 50, 10, 62, 22, 53, 13, 65, 25, 57, 17, 45, 5, 41)(3, 49, 9, 60, 20, 54, 14, 44, 4, 52, 12, 69, 29, 75, 35, 59, 19, 51, 11, 43)(7, 61, 21, 55, 15, 66, 26, 48, 8, 64, 24, 56, 16, 73, 33, 74, 34, 63, 23, 47)(27, 76, 36, 70, 30, 78, 38, 68, 28, 77, 37, 71, 31, 79, 39, 72, 32, 80, 40, 67)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 30)(12, 31)(14, 32)(16, 22)(17, 20)(18, 34)(21, 36)(23, 38)(24, 39)(26, 40)(28, 35)(33, 37)(41, 44)(42, 48)(43, 50)(45, 56)(46, 60)(47, 62)(49, 68)(51, 71)(52, 67)(53, 59)(54, 70)(55, 58)(57, 69)(61, 77)(63, 79)(64, 76)(65, 74)(66, 78)(72, 75)(73, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.637
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.636 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^2 * Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 66, 26, 77, 37, 74, 34, 64, 24, 52, 12, 45, 5, 41)(3, 49, 9, 44, 4, 51, 11, 62, 22, 73, 33, 78, 38, 68, 28, 55, 15, 50, 10, 43)(7, 56, 16, 48, 8, 58, 18, 53, 13, 65, 25, 76, 36, 79, 39, 67, 27, 57, 17, 47)(19, 69, 29, 60, 20, 70, 30, 61, 21, 71, 31, 80, 40, 75, 35, 63, 23, 72, 32, 59)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 23)(13, 24)(14, 27)(16, 29)(17, 30)(18, 32)(21, 28)(22, 34)(25, 35)(26, 38)(31, 39)(33, 40)(36, 37)(41, 44)(42, 48)(43, 46)(45, 53)(47, 54)(49, 60)(50, 61)(51, 59)(52, 62)(55, 66)(56, 70)(57, 71)(58, 69)(63, 73)(64, 76)(65, 72)(67, 77)(68, 80)(74, 78)(75, 79)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.637 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, (Y2 * Y1^-2)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1^8 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 66, 26, 77, 37, 74, 34, 62, 22, 50, 10, 45, 5, 41)(3, 49, 9, 59, 19, 73, 33, 78, 38, 68, 28, 55, 15, 52, 12, 44, 4, 51, 11, 43)(7, 56, 16, 53, 13, 65, 25, 76, 36, 79, 39, 67, 27, 58, 18, 48, 8, 57, 17, 47)(20, 69, 29, 63, 23, 71, 31, 64, 24, 72, 32, 80, 40, 75, 35, 61, 21, 70, 30, 60)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 20)(10, 19)(11, 23)(12, 24)(15, 26)(16, 29)(17, 31)(18, 32)(21, 33)(22, 36)(25, 30)(27, 37)(28, 40)(34, 38)(35, 39)(41, 44)(42, 48)(43, 50)(45, 47)(46, 55)(49, 61)(51, 60)(52, 63)(53, 62)(54, 67)(56, 70)(57, 69)(58, 71)(59, 74)(64, 68)(65, 75)(66, 78)(72, 79)(73, 80)(76, 77)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.635
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.638 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^10 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 17, 57, 26, 66, 34, 74, 28, 68, 19, 59, 10, 50, 4, 44)(2, 42, 5, 45, 12, 52, 22, 62, 30, 70, 37, 77, 32, 72, 24, 64, 14, 54, 6, 46)(7, 47, 15, 55, 25, 65, 33, 73, 39, 79, 35, 75, 27, 67, 18, 58, 9, 49, 16, 56)(11, 51, 20, 60, 29, 69, 36, 76, 40, 80, 38, 78, 31, 71, 23, 63, 13, 53, 21, 61)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 92)(90, 94)(95, 100)(96, 101)(97, 105)(98, 103)(99, 107)(102, 109)(104, 111)(106, 110)(108, 112)(113, 116)(114, 119)(115, 118)(117, 120)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 132)(130, 134)(135, 140)(136, 141)(137, 145)(138, 143)(139, 147)(142, 149)(144, 151)(146, 150)(148, 152)(153, 156)(154, 159)(155, 158)(157, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.646
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.639 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y2 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, Y3^10 ]
Map::
	R = (1, 41, 3, 43, 8, 48, 17, 57, 26, 66, 34, 74, 28, 68, 19, 59, 10, 50, 4, 44)(2, 42, 5, 45, 12, 52, 22, 62, 30, 70, 37, 77, 32, 72, 24, 64, 14, 54, 6, 46)(7, 47, 15, 55, 9, 49, 18, 58, 27, 67, 35, 75, 39, 79, 33, 73, 25, 65, 16, 56)(11, 51, 20, 60, 13, 53, 23, 63, 31, 71, 38, 78, 40, 80, 36, 76, 29, 69, 21, 61)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 94)(90, 92)(95, 100)(96, 103)(97, 105)(98, 101)(99, 107)(102, 109)(104, 111)(106, 112)(108, 110)(113, 118)(114, 119)(115, 116)(117, 120)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 134)(130, 132)(135, 140)(136, 143)(137, 145)(138, 141)(139, 147)(142, 149)(144, 151)(146, 152)(148, 150)(153, 158)(154, 159)(155, 156)(157, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.647
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.640 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y1 * Y3^-3, (Y3 * Y2 * Y1)^2, (Y3^2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 4, 44, 14, 54, 27, 67, 9, 49, 20, 60, 6, 46, 19, 59, 17, 57, 5, 45)(2, 42, 7, 47, 23, 63, 34, 74, 18, 58, 11, 51, 3, 43, 10, 50, 26, 66, 8, 48)(12, 52, 29, 69, 15, 55, 33, 73, 35, 75, 32, 72, 13, 53, 31, 71, 16, 56, 30, 70)(21, 61, 36, 76, 24, 64, 40, 80, 28, 68, 39, 79, 22, 62, 38, 78, 25, 65, 37, 77)(81, 82)(83, 89)(84, 92)(85, 95)(86, 98)(87, 101)(88, 104)(90, 108)(91, 102)(93, 100)(94, 106)(96, 107)(97, 103)(99, 115)(105, 114)(109, 116)(110, 120)(111, 119)(112, 118)(113, 117)(121, 123)(122, 126)(124, 133)(125, 136)(127, 142)(128, 145)(129, 143)(130, 141)(131, 144)(132, 139)(134, 138)(135, 140)(137, 146)(147, 155)(148, 154)(149, 158)(150, 157)(151, 156)(152, 160)(153, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.649
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.641 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, Y3^-2 * Y2 * Y3^6 * Y1 ]
Map::
	R = (1, 41, 4, 44, 6, 46, 15, 55, 26, 66, 38, 78, 33, 73, 20, 60, 9, 49, 5, 45)(2, 42, 7, 47, 3, 43, 10, 50, 19, 59, 34, 74, 37, 77, 27, 67, 14, 54, 8, 48)(11, 51, 22, 62, 12, 52, 24, 64, 13, 53, 25, 65, 35, 75, 40, 80, 28, 68, 23, 63)(16, 56, 29, 69, 17, 57, 31, 71, 18, 58, 32, 72, 39, 79, 36, 76, 21, 61, 30, 70)(81, 82)(83, 89)(84, 91)(85, 92)(86, 94)(87, 96)(88, 97)(90, 101)(93, 100)(95, 108)(98, 107)(99, 113)(102, 109)(103, 111)(104, 110)(105, 116)(106, 117)(112, 120)(114, 119)(115, 118)(121, 123)(122, 126)(124, 132)(125, 133)(127, 137)(128, 138)(129, 139)(130, 136)(131, 135)(134, 146)(140, 155)(141, 154)(142, 151)(143, 152)(144, 149)(145, 150)(147, 159)(148, 158)(153, 157)(156, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.648
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.642 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2, (Y1 * Y2)^5 ]
Map::
	R = (1, 41, 4, 44, 9, 49, 20, 60, 33, 73, 38, 78, 26, 66, 15, 55, 6, 46, 5, 45)(2, 42, 7, 47, 14, 54, 27, 67, 37, 77, 34, 74, 19, 59, 10, 50, 3, 43, 8, 48)(11, 51, 22, 62, 13, 53, 25, 65, 28, 68, 40, 80, 35, 75, 24, 64, 12, 52, 23, 63)(16, 56, 29, 69, 18, 58, 32, 72, 21, 61, 36, 76, 39, 79, 31, 71, 17, 57, 30, 70)(81, 82)(83, 89)(84, 91)(85, 93)(86, 94)(87, 96)(88, 98)(90, 101)(92, 100)(95, 108)(97, 107)(99, 113)(102, 109)(103, 112)(104, 116)(105, 110)(106, 117)(111, 120)(114, 119)(115, 118)(121, 123)(122, 126)(124, 132)(125, 131)(127, 137)(128, 136)(129, 139)(130, 138)(133, 135)(134, 146)(140, 155)(141, 154)(142, 150)(143, 149)(144, 152)(145, 151)(147, 159)(148, 158)(153, 157)(156, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.650
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.643 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^10, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 12, 52)(5, 45, 14, 54)(6, 46, 15, 55)(7, 47, 17, 57)(8, 48, 19, 59)(10, 50, 20, 60)(11, 51, 22, 62)(13, 53, 24, 64)(16, 56, 26, 66)(18, 58, 28, 68)(21, 61, 30, 70)(23, 63, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 37, 77)(31, 71, 38, 78)(33, 73, 39, 79)(35, 75, 40, 80)(81, 82, 87, 96, 105, 113, 109, 103, 91, 85)(83, 88, 86, 90, 98, 107, 115, 111, 101, 93)(84, 94, 102, 112, 117, 119, 114, 106, 97, 89)(92, 104, 110, 118, 120, 116, 108, 100, 95, 99)(121, 123, 131, 141, 149, 155, 145, 138, 127, 126)(122, 128, 125, 133, 143, 151, 153, 147, 136, 130)(124, 135, 137, 148, 154, 160, 157, 150, 142, 132)(129, 140, 146, 156, 159, 158, 152, 144, 134, 139)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.651
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.644 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y3, Y1^-2 * Y2^8, Y2^-2 * Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 41, 4, 44)(2, 42, 9, 49)(3, 43, 12, 52)(5, 45, 15, 55)(6, 46, 14, 54)(7, 47, 17, 57)(8, 48, 19, 59)(10, 50, 20, 60)(11, 51, 22, 62)(13, 53, 24, 64)(16, 56, 26, 66)(18, 58, 28, 68)(21, 61, 30, 70)(23, 63, 32, 72)(25, 65, 34, 74)(27, 67, 36, 76)(29, 69, 37, 77)(31, 71, 38, 78)(33, 73, 39, 79)(35, 75, 40, 80)(81, 82, 87, 96, 105, 113, 109, 103, 91, 85)(83, 88, 86, 90, 98, 107, 115, 111, 101, 93)(84, 92, 102, 110, 117, 120, 114, 108, 97, 94)(89, 99, 95, 104, 112, 118, 119, 116, 106, 100)(121, 123, 131, 141, 149, 155, 145, 138, 127, 126)(122, 128, 125, 133, 143, 151, 153, 147, 136, 130)(124, 129, 137, 146, 154, 159, 157, 152, 142, 135)(132, 139, 134, 140, 148, 156, 160, 158, 150, 144)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.652
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.645 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 8, 48)(5, 45, 12, 52)(7, 47, 16, 56)(9, 49, 18, 58)(10, 50, 19, 59)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(15, 55, 26, 66)(17, 57, 28, 68)(20, 60, 30, 70)(22, 62, 32, 72)(25, 65, 33, 73)(27, 67, 35, 75)(29, 69, 36, 76)(31, 71, 38, 78)(34, 74, 39, 79)(37, 77, 40, 80)(81, 82, 85, 91, 100, 109, 105, 95, 87, 83)(84, 89, 96, 107, 113, 117, 110, 102, 92, 90)(86, 93, 88, 97, 106, 114, 116, 111, 101, 94)(98, 103, 99, 104, 112, 118, 120, 119, 115, 108)(121, 123, 127, 135, 145, 149, 140, 131, 125, 122)(124, 130, 132, 142, 150, 157, 153, 147, 136, 129)(126, 134, 141, 151, 156, 154, 146, 137, 128, 133)(138, 148, 155, 159, 160, 158, 152, 144, 139, 143)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.653
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.646 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y1 * Y3^2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y1)^2, Y3^10 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 8, 48, 88, 128, 17, 57, 97, 137, 26, 66, 106, 146, 34, 74, 114, 154, 28, 68, 108, 148, 19, 59, 99, 139, 10, 50, 90, 130, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 12, 52, 92, 132, 22, 62, 102, 142, 30, 70, 110, 150, 37, 77, 117, 157, 32, 72, 112, 152, 24, 64, 104, 144, 14, 54, 94, 134, 6, 46, 86, 126)(7, 47, 87, 127, 15, 55, 95, 135, 25, 65, 105, 145, 33, 73, 113, 153, 39, 79, 119, 159, 35, 75, 115, 155, 27, 67, 107, 147, 18, 58, 98, 138, 9, 49, 89, 129, 16, 56, 96, 136)(11, 51, 91, 131, 20, 60, 100, 140, 29, 69, 109, 149, 36, 76, 116, 156, 40, 80, 120, 160, 38, 78, 118, 158, 31, 71, 111, 151, 23, 63, 103, 143, 13, 53, 93, 133, 21, 61, 101, 141)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 51)(6, 53)(7, 43)(8, 52)(9, 44)(10, 54)(11, 45)(12, 48)(13, 46)(14, 50)(15, 60)(16, 61)(17, 65)(18, 63)(19, 67)(20, 55)(21, 56)(22, 69)(23, 58)(24, 71)(25, 57)(26, 70)(27, 59)(28, 72)(29, 62)(30, 66)(31, 64)(32, 68)(33, 76)(34, 79)(35, 78)(36, 73)(37, 80)(38, 75)(39, 74)(40, 77)(81, 122)(82, 121)(83, 127)(84, 129)(85, 131)(86, 133)(87, 123)(88, 132)(89, 124)(90, 134)(91, 125)(92, 128)(93, 126)(94, 130)(95, 140)(96, 141)(97, 145)(98, 143)(99, 147)(100, 135)(101, 136)(102, 149)(103, 138)(104, 151)(105, 137)(106, 150)(107, 139)(108, 152)(109, 142)(110, 146)(111, 144)(112, 148)(113, 156)(114, 159)(115, 158)(116, 153)(117, 160)(118, 155)(119, 154)(120, 157)
	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 E17.638
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.647 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-2 * Y2 * Y3^-2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, Y3^10 ]
Map::
	R = (1, 41, 81, 121, 3, 43, 83, 123, 8, 48, 88, 128, 17, 57, 97, 137, 26, 66, 106, 146, 34, 74, 114, 154, 28, 68, 108, 148, 19, 59, 99, 139, 10, 50, 90, 130, 4, 44, 84, 124)(2, 42, 82, 122, 5, 45, 85, 125, 12, 52, 92, 132, 22, 62, 102, 142, 30, 70, 110, 150, 37, 77, 117, 157, 32, 72, 112, 152, 24, 64, 104, 144, 14, 54, 94, 134, 6, 46, 86, 126)(7, 47, 87, 127, 15, 55, 95, 135, 9, 49, 89, 129, 18, 58, 98, 138, 27, 67, 107, 147, 35, 75, 115, 155, 39, 79, 119, 159, 33, 73, 113, 153, 25, 65, 105, 145, 16, 56, 96, 136)(11, 51, 91, 131, 20, 60, 100, 140, 13, 53, 93, 133, 23, 63, 103, 143, 31, 71, 111, 151, 38, 78, 118, 158, 40, 80, 120, 160, 36, 76, 116, 156, 29, 69, 109, 149, 21, 61, 101, 141)
	L = (1, 42)(2, 41)(3, 47)(4, 49)(5, 51)(6, 53)(7, 43)(8, 54)(9, 44)(10, 52)(11, 45)(12, 50)(13, 46)(14, 48)(15, 60)(16, 63)(17, 65)(18, 61)(19, 67)(20, 55)(21, 58)(22, 69)(23, 56)(24, 71)(25, 57)(26, 72)(27, 59)(28, 70)(29, 62)(30, 68)(31, 64)(32, 66)(33, 78)(34, 79)(35, 76)(36, 75)(37, 80)(38, 73)(39, 74)(40, 77)(81, 122)(82, 121)(83, 127)(84, 129)(85, 131)(86, 133)(87, 123)(88, 134)(89, 124)(90, 132)(91, 125)(92, 130)(93, 126)(94, 128)(95, 140)(96, 143)(97, 145)(98, 141)(99, 147)(100, 135)(101, 138)(102, 149)(103, 136)(104, 151)(105, 137)(106, 152)(107, 139)(108, 150)(109, 142)(110, 148)(111, 144)(112, 146)(113, 158)(114, 159)(115, 156)(116, 155)(117, 160)(118, 153)(119, 154)(120, 157)
	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 E17.639
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.648 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y1 * Y3^-3, (Y3 * Y2 * Y1)^2, (Y3^2 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 14, 54, 94, 134, 27, 67, 107, 147, 9, 49, 89, 129, 20, 60, 100, 140, 6, 46, 86, 126, 19, 59, 99, 139, 17, 57, 97, 137, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 23, 63, 103, 143, 34, 74, 114, 154, 18, 58, 98, 138, 11, 51, 91, 131, 3, 43, 83, 123, 10, 50, 90, 130, 26, 66, 106, 146, 8, 48, 88, 128)(12, 52, 92, 132, 29, 69, 109, 149, 15, 55, 95, 135, 33, 73, 113, 153, 35, 75, 115, 155, 32, 72, 112, 152, 13, 53, 93, 133, 31, 71, 111, 151, 16, 56, 96, 136, 30, 70, 110, 150)(21, 61, 101, 141, 36, 76, 116, 156, 24, 64, 104, 144, 40, 80, 120, 160, 28, 68, 108, 148, 39, 79, 119, 159, 22, 62, 102, 142, 38, 78, 118, 158, 25, 65, 105, 145, 37, 77, 117, 157)
	L = (1, 42)(2, 41)(3, 49)(4, 52)(5, 55)(6, 58)(7, 61)(8, 64)(9, 43)(10, 68)(11, 62)(12, 44)(13, 60)(14, 66)(15, 45)(16, 67)(17, 63)(18, 46)(19, 75)(20, 53)(21, 47)(22, 51)(23, 57)(24, 48)(25, 74)(26, 54)(27, 56)(28, 50)(29, 76)(30, 80)(31, 79)(32, 78)(33, 77)(34, 65)(35, 59)(36, 69)(37, 73)(38, 72)(39, 71)(40, 70)(81, 123)(82, 126)(83, 121)(84, 133)(85, 136)(86, 122)(87, 142)(88, 145)(89, 143)(90, 141)(91, 144)(92, 139)(93, 124)(94, 138)(95, 140)(96, 125)(97, 146)(98, 134)(99, 132)(100, 135)(101, 130)(102, 127)(103, 129)(104, 131)(105, 128)(106, 137)(107, 155)(108, 154)(109, 158)(110, 157)(111, 156)(112, 160)(113, 159)(114, 148)(115, 147)(116, 151)(117, 150)(118, 149)(119, 153)(120, 152)
	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 E17.641
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.649 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3, Y3^-2 * Y2 * Y3^6 * Y1 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 6, 46, 86, 126, 15, 55, 95, 135, 26, 66, 106, 146, 38, 78, 118, 158, 33, 73, 113, 153, 20, 60, 100, 140, 9, 49, 89, 129, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 3, 43, 83, 123, 10, 50, 90, 130, 19, 59, 99, 139, 34, 74, 114, 154, 37, 77, 117, 157, 27, 67, 107, 147, 14, 54, 94, 134, 8, 48, 88, 128)(11, 51, 91, 131, 22, 62, 102, 142, 12, 52, 92, 132, 24, 64, 104, 144, 13, 53, 93, 133, 25, 65, 105, 145, 35, 75, 115, 155, 40, 80, 120, 160, 28, 68, 108, 148, 23, 63, 103, 143)(16, 56, 96, 136, 29, 69, 109, 149, 17, 57, 97, 137, 31, 71, 111, 151, 18, 58, 98, 138, 32, 72, 112, 152, 39, 79, 119, 159, 36, 76, 116, 156, 21, 61, 101, 141, 30, 70, 110, 150)
	L = (1, 42)(2, 41)(3, 49)(4, 51)(5, 52)(6, 54)(7, 56)(8, 57)(9, 43)(10, 61)(11, 44)(12, 45)(13, 60)(14, 46)(15, 68)(16, 47)(17, 48)(18, 67)(19, 73)(20, 53)(21, 50)(22, 69)(23, 71)(24, 70)(25, 76)(26, 77)(27, 58)(28, 55)(29, 62)(30, 64)(31, 63)(32, 80)(33, 59)(34, 79)(35, 78)(36, 65)(37, 66)(38, 75)(39, 74)(40, 72)(81, 123)(82, 126)(83, 121)(84, 132)(85, 133)(86, 122)(87, 137)(88, 138)(89, 139)(90, 136)(91, 135)(92, 124)(93, 125)(94, 146)(95, 131)(96, 130)(97, 127)(98, 128)(99, 129)(100, 155)(101, 154)(102, 151)(103, 152)(104, 149)(105, 150)(106, 134)(107, 159)(108, 158)(109, 144)(110, 145)(111, 142)(112, 143)(113, 157)(114, 141)(115, 140)(116, 160)(117, 153)(118, 148)(119, 147)(120, 156)
	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 E17.640
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.650 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2 * Y1 * Y2, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2, (Y1 * Y2)^5 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 9, 49, 89, 129, 20, 60, 100, 140, 33, 73, 113, 153, 38, 78, 118, 158, 26, 66, 106, 146, 15, 55, 95, 135, 6, 46, 86, 126, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 14, 54, 94, 134, 27, 67, 107, 147, 37, 77, 117, 157, 34, 74, 114, 154, 19, 59, 99, 139, 10, 50, 90, 130, 3, 43, 83, 123, 8, 48, 88, 128)(11, 51, 91, 131, 22, 62, 102, 142, 13, 53, 93, 133, 25, 65, 105, 145, 28, 68, 108, 148, 40, 80, 120, 160, 35, 75, 115, 155, 24, 64, 104, 144, 12, 52, 92, 132, 23, 63, 103, 143)(16, 56, 96, 136, 29, 69, 109, 149, 18, 58, 98, 138, 32, 72, 112, 152, 21, 61, 101, 141, 36, 76, 116, 156, 39, 79, 119, 159, 31, 71, 111, 151, 17, 57, 97, 137, 30, 70, 110, 150)
	L = (1, 42)(2, 41)(3, 49)(4, 51)(5, 53)(6, 54)(7, 56)(8, 58)(9, 43)(10, 61)(11, 44)(12, 60)(13, 45)(14, 46)(15, 68)(16, 47)(17, 67)(18, 48)(19, 73)(20, 52)(21, 50)(22, 69)(23, 72)(24, 76)(25, 70)(26, 77)(27, 57)(28, 55)(29, 62)(30, 65)(31, 80)(32, 63)(33, 59)(34, 79)(35, 78)(36, 64)(37, 66)(38, 75)(39, 74)(40, 71)(81, 123)(82, 126)(83, 121)(84, 132)(85, 131)(86, 122)(87, 137)(88, 136)(89, 139)(90, 138)(91, 125)(92, 124)(93, 135)(94, 146)(95, 133)(96, 128)(97, 127)(98, 130)(99, 129)(100, 155)(101, 154)(102, 150)(103, 149)(104, 152)(105, 151)(106, 134)(107, 159)(108, 158)(109, 143)(110, 142)(111, 145)(112, 144)(113, 157)(114, 141)(115, 140)(116, 160)(117, 153)(118, 148)(119, 147)(120, 156)
	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 E17.642
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.651 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2^-1, Y1^-1), (Y3 * Y2^-1)^2, (Y3 * Y1 * Y2^-1)^2, Y1^10, Y2^10 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 12, 52, 92, 132)(5, 45, 85, 125, 14, 54, 94, 134)(6, 46, 86, 126, 15, 55, 95, 135)(7, 47, 87, 127, 17, 57, 97, 137)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 20, 60, 100, 140)(11, 51, 91, 131, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(16, 56, 96, 136, 26, 66, 106, 146)(18, 58, 98, 138, 28, 68, 108, 148)(21, 61, 101, 141, 30, 70, 110, 150)(23, 63, 103, 143, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 37, 77, 117, 157)(31, 71, 111, 151, 38, 78, 118, 158)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 48)(4, 54)(5, 41)(6, 50)(7, 56)(8, 46)(9, 44)(10, 58)(11, 45)(12, 64)(13, 43)(14, 62)(15, 59)(16, 65)(17, 49)(18, 67)(19, 52)(20, 55)(21, 53)(22, 72)(23, 51)(24, 70)(25, 73)(26, 57)(27, 75)(28, 60)(29, 63)(30, 78)(31, 61)(32, 77)(33, 69)(34, 66)(35, 71)(36, 68)(37, 79)(38, 80)(39, 74)(40, 76)(81, 123)(82, 128)(83, 131)(84, 135)(85, 133)(86, 121)(87, 126)(88, 125)(89, 140)(90, 122)(91, 141)(92, 124)(93, 143)(94, 139)(95, 137)(96, 130)(97, 148)(98, 127)(99, 129)(100, 146)(101, 149)(102, 132)(103, 151)(104, 134)(105, 138)(106, 156)(107, 136)(108, 154)(109, 155)(110, 142)(111, 153)(112, 144)(113, 147)(114, 160)(115, 145)(116, 159)(117, 150)(118, 152)(119, 158)(120, 157)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.643
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.652 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1^-1), Y1^-1 * Y2^-2 * Y1^-1, R * Y2 * R * Y1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, Y2^-1 * Y3 * Y1 * Y3, Y1^-2 * Y2^8, Y2^-2 * Y1^8 ]
Map:: polytopal non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 9, 49, 89, 129)(3, 43, 83, 123, 12, 52, 92, 132)(5, 45, 85, 125, 15, 55, 95, 135)(6, 46, 86, 126, 14, 54, 94, 134)(7, 47, 87, 127, 17, 57, 97, 137)(8, 48, 88, 128, 19, 59, 99, 139)(10, 50, 90, 130, 20, 60, 100, 140)(11, 51, 91, 131, 22, 62, 102, 142)(13, 53, 93, 133, 24, 64, 104, 144)(16, 56, 96, 136, 26, 66, 106, 146)(18, 58, 98, 138, 28, 68, 108, 148)(21, 61, 101, 141, 30, 70, 110, 150)(23, 63, 103, 143, 32, 72, 112, 152)(25, 65, 105, 145, 34, 74, 114, 154)(27, 67, 107, 147, 36, 76, 116, 156)(29, 69, 109, 149, 37, 77, 117, 157)(31, 71, 111, 151, 38, 78, 118, 158)(33, 73, 113, 153, 39, 79, 119, 159)(35, 75, 115, 155, 40, 80, 120, 160)
	L = (1, 42)(2, 47)(3, 48)(4, 52)(5, 41)(6, 50)(7, 56)(8, 46)(9, 59)(10, 58)(11, 45)(12, 62)(13, 43)(14, 44)(15, 64)(16, 65)(17, 54)(18, 67)(19, 55)(20, 49)(21, 53)(22, 70)(23, 51)(24, 72)(25, 73)(26, 60)(27, 75)(28, 57)(29, 63)(30, 77)(31, 61)(32, 78)(33, 69)(34, 68)(35, 71)(36, 66)(37, 80)(38, 79)(39, 76)(40, 74)(81, 123)(82, 128)(83, 131)(84, 129)(85, 133)(86, 121)(87, 126)(88, 125)(89, 137)(90, 122)(91, 141)(92, 139)(93, 143)(94, 140)(95, 124)(96, 130)(97, 146)(98, 127)(99, 134)(100, 148)(101, 149)(102, 135)(103, 151)(104, 132)(105, 138)(106, 154)(107, 136)(108, 156)(109, 155)(110, 144)(111, 153)(112, 142)(113, 147)(114, 159)(115, 145)(116, 160)(117, 152)(118, 150)(119, 157)(120, 158)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.644
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.653 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^2 * Y3 * Y1^-2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 8, 48, 88, 128)(5, 45, 85, 125, 12, 52, 92, 132)(7, 47, 87, 127, 16, 56, 96, 136)(9, 49, 89, 129, 18, 58, 98, 138)(10, 50, 90, 130, 19, 59, 99, 139)(11, 51, 91, 131, 21, 61, 101, 141)(13, 53, 93, 133, 23, 63, 103, 143)(14, 54, 94, 134, 24, 64, 104, 144)(15, 55, 95, 135, 26, 66, 106, 146)(17, 57, 97, 137, 28, 68, 108, 148)(20, 60, 100, 140, 30, 70, 110, 150)(22, 62, 102, 142, 32, 72, 112, 152)(25, 65, 105, 145, 33, 73, 113, 153)(27, 67, 107, 147, 35, 75, 115, 155)(29, 69, 109, 149, 36, 76, 116, 156)(31, 71, 111, 151, 38, 78, 118, 158)(34, 74, 114, 154, 39, 79, 119, 159)(37, 77, 117, 157, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 49)(5, 51)(6, 53)(7, 43)(8, 57)(9, 56)(10, 44)(11, 60)(12, 50)(13, 48)(14, 46)(15, 47)(16, 67)(17, 66)(18, 63)(19, 64)(20, 69)(21, 54)(22, 52)(23, 59)(24, 72)(25, 55)(26, 74)(27, 73)(28, 58)(29, 65)(30, 62)(31, 61)(32, 78)(33, 77)(34, 76)(35, 68)(36, 71)(37, 70)(38, 80)(39, 75)(40, 79)(81, 123)(82, 121)(83, 127)(84, 130)(85, 122)(86, 134)(87, 135)(88, 133)(89, 124)(90, 132)(91, 125)(92, 142)(93, 126)(94, 141)(95, 145)(96, 129)(97, 128)(98, 148)(99, 143)(100, 131)(101, 151)(102, 150)(103, 138)(104, 139)(105, 149)(106, 137)(107, 136)(108, 155)(109, 140)(110, 157)(111, 156)(112, 144)(113, 147)(114, 146)(115, 159)(116, 154)(117, 153)(118, 152)(119, 160)(120, 158)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.645
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 12, 52)(10, 50, 14, 54)(15, 55, 20, 60)(16, 56, 21, 61)(17, 57, 25, 65)(18, 58, 23, 63)(19, 59, 27, 67)(22, 62, 29, 69)(24, 64, 31, 71)(26, 66, 30, 70)(28, 68, 32, 72)(33, 73, 36, 76)(34, 74, 39, 79)(35, 75, 38, 78)(37, 77, 40, 80)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 117, 157, 112, 152, 104, 144, 94, 134, 86, 126)(87, 127, 95, 135, 105, 145, 113, 153, 119, 159, 115, 155, 107, 147, 98, 138, 89, 129, 96, 136)(91, 131, 100, 140, 109, 149, 116, 156, 120, 160, 118, 158, 111, 151, 103, 143, 93, 133, 101, 141)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.655 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, (Y2 * Y1)^4, Y2^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42)(3, 43, 7, 47)(4, 44, 9, 49)(5, 45, 11, 51)(6, 46, 13, 53)(8, 48, 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, 38, 78)(34, 74, 39, 79)(35, 75, 36, 76)(37, 77, 40, 80)(81, 121, 83, 123, 88, 128, 97, 137, 106, 146, 114, 154, 108, 148, 99, 139, 90, 130, 84, 124)(82, 122, 85, 125, 92, 132, 102, 142, 110, 150, 117, 157, 112, 152, 104, 144, 94, 134, 86, 126)(87, 127, 95, 135, 89, 129, 98, 138, 107, 147, 115, 155, 119, 159, 113, 153, 105, 145, 96, 136)(91, 131, 100, 140, 93, 133, 103, 143, 111, 151, 118, 158, 120, 160, 116, 156, 109, 149, 101, 141)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.656 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y3 * Y1, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 13, 53)(6, 46, 11, 51)(8, 48, 12, 52)(10, 50, 15, 55)(14, 54, 16, 56)(17, 57, 19, 59)(18, 58, 25, 65)(20, 60, 21, 61)(22, 62, 29, 69)(23, 63, 27, 67)(24, 64, 28, 68)(26, 66, 31, 71)(30, 70, 32, 72)(33, 73, 35, 75)(34, 74, 39, 79)(36, 76, 37, 77)(38, 78, 40, 80)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 110, 150, 102, 142, 94, 134, 85, 125)(82, 122, 86, 126, 95, 135, 103, 143, 111, 151, 118, 158, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 120, 160, 116, 156, 108, 148, 100, 140, 92, 132)(87, 127, 89, 129, 97, 137, 105, 145, 113, 153, 119, 159, 117, 157, 109, 149, 101, 141, 93, 133)
	L = (1, 84)(2, 87)(3, 91)(4, 81)(5, 92)(6, 89)(7, 82)(8, 93)(9, 86)(10, 99)(11, 83)(12, 85)(13, 88)(14, 100)(15, 97)(16, 101)(17, 95)(18, 107)(19, 90)(20, 94)(21, 96)(22, 108)(23, 105)(24, 109)(25, 103)(26, 115)(27, 98)(28, 102)(29, 104)(30, 116)(31, 113)(32, 117)(33, 111)(34, 120)(35, 106)(36, 110)(37, 112)(38, 119)(39, 118)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.657 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 7, 47)(5, 45, 13, 53)(6, 46, 12, 52)(8, 48, 11, 51)(10, 50, 16, 56)(14, 54, 15, 55)(17, 57, 19, 59)(18, 58, 25, 65)(20, 60, 21, 61)(22, 62, 29, 69)(23, 63, 28, 68)(24, 64, 27, 67)(26, 66, 32, 72)(30, 70, 31, 71)(33, 73, 35, 75)(34, 74, 39, 79)(36, 76, 37, 77)(38, 78, 40, 80)(81, 121, 83, 123, 90, 130, 98, 138, 106, 146, 114, 154, 110, 150, 102, 142, 94, 134, 85, 125)(82, 122, 86, 126, 95, 135, 103, 143, 111, 151, 118, 158, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 91, 131, 99, 139, 107, 147, 115, 155, 120, 160, 116, 156, 108, 148, 100, 140, 92, 132)(87, 127, 93, 133, 101, 141, 109, 149, 117, 157, 119, 159, 113, 153, 105, 145, 97, 137, 89, 129)
	L = (1, 84)(2, 87)(3, 91)(4, 81)(5, 92)(6, 93)(7, 82)(8, 89)(9, 88)(10, 99)(11, 83)(12, 85)(13, 86)(14, 100)(15, 101)(16, 97)(17, 96)(18, 107)(19, 90)(20, 94)(21, 95)(22, 108)(23, 109)(24, 105)(25, 104)(26, 115)(27, 98)(28, 102)(29, 103)(30, 116)(31, 117)(32, 113)(33, 112)(34, 120)(35, 106)(36, 110)(37, 111)(38, 119)(39, 118)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 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:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.658 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2^-1 * Y3, (Y1 * Y3)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3^2 * Y1 * Y2 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y1 * Y2^3 * Y3 * Y2^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 20, 60)(9, 49, 26, 66)(12, 52, 21, 61)(13, 53, 22, 62)(14, 54, 23, 63)(15, 55, 24, 64)(16, 56, 25, 65)(18, 58, 27, 67)(19, 59, 28, 68)(29, 69, 37, 77)(30, 70, 33, 73)(31, 71, 36, 76)(32, 72, 38, 78)(34, 74, 40, 80)(35, 75, 39, 79)(81, 121, 83, 123, 92, 132, 110, 150, 107, 147, 90, 130, 102, 142, 116, 156, 99, 139, 85, 125)(82, 122, 87, 127, 101, 141, 115, 155, 98, 138, 86, 126, 93, 133, 112, 152, 108, 148, 89, 129)(84, 124, 94, 134, 111, 151, 114, 154, 97, 137, 104, 144, 91, 131, 109, 149, 113, 153, 96, 136)(88, 128, 103, 143, 118, 158, 120, 160, 106, 146, 95, 135, 100, 140, 117, 157, 119, 159, 105, 145)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 98)(6, 81)(7, 102)(8, 104)(9, 107)(10, 82)(11, 103)(12, 111)(13, 100)(14, 83)(15, 86)(16, 85)(17, 105)(18, 106)(19, 113)(20, 94)(21, 118)(22, 91)(23, 87)(24, 90)(25, 89)(26, 96)(27, 97)(28, 119)(29, 116)(30, 108)(31, 117)(32, 92)(33, 120)(34, 110)(35, 99)(36, 101)(37, 112)(38, 109)(39, 114)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.659 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y3^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y1, Y3^-1 * Y2^4 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 20, 60)(9, 49, 26, 66)(12, 52, 21, 61)(13, 53, 22, 62)(14, 54, 23, 63)(15, 55, 24, 64)(16, 56, 25, 65)(18, 58, 27, 67)(19, 59, 28, 68)(29, 69, 37, 77)(30, 70, 35, 75)(31, 71, 38, 78)(32, 72, 36, 76)(33, 73, 40, 80)(34, 74, 39, 79)(81, 121, 83, 123, 92, 132, 110, 150, 105, 145, 88, 128, 103, 143, 116, 156, 99, 139, 85, 125)(82, 122, 87, 127, 101, 141, 113, 153, 96, 136, 84, 124, 94, 134, 111, 151, 108, 148, 89, 129)(86, 126, 93, 133, 112, 152, 114, 154, 97, 137, 104, 144, 91, 131, 109, 149, 115, 155, 98, 138)(90, 130, 102, 142, 118, 158, 119, 159, 106, 146, 95, 135, 100, 140, 117, 157, 120, 160, 107, 147)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 98)(6, 81)(7, 102)(8, 104)(9, 107)(10, 82)(11, 103)(12, 111)(13, 100)(14, 83)(15, 86)(16, 85)(17, 105)(18, 106)(19, 113)(20, 94)(21, 116)(22, 91)(23, 87)(24, 90)(25, 89)(26, 96)(27, 97)(28, 110)(29, 118)(30, 114)(31, 117)(32, 92)(33, 119)(34, 120)(35, 99)(36, 109)(37, 112)(38, 101)(39, 115)(40, 108)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.660 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1 * Y3^-1)^2, (R * Y2)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y3^-1 * Y2^2, (Y2 * Y1 * Y2)^2, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 18, 58)(9, 49, 24, 64)(12, 52, 22, 62)(13, 53, 28, 68)(14, 54, 26, 66)(15, 55, 19, 59)(16, 56, 29, 69)(20, 60, 34, 74)(21, 61, 32, 72)(23, 63, 35, 75)(25, 65, 31, 71)(27, 67, 36, 76)(30, 70, 33, 73)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 92, 132, 96, 136, 84, 124, 93, 133, 86, 126, 94, 134, 95, 135, 85, 125)(82, 122, 87, 127, 99, 139, 103, 143, 88, 128, 100, 140, 90, 130, 101, 141, 102, 142, 89, 129)(91, 131, 105, 145, 97, 137, 110, 150, 106, 146, 117, 157, 108, 148, 118, 158, 109, 149, 107, 147)(98, 138, 111, 151, 104, 144, 116, 156, 112, 152, 119, 159, 114, 154, 120, 160, 115, 155, 113, 153)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 106)(12, 86)(13, 85)(14, 83)(15, 92)(16, 94)(17, 108)(18, 112)(19, 90)(20, 89)(21, 87)(22, 99)(23, 101)(24, 114)(25, 117)(26, 109)(27, 110)(28, 91)(29, 97)(30, 118)(31, 119)(32, 115)(33, 116)(34, 98)(35, 104)(36, 120)(37, 107)(38, 105)(39, 113)(40, 111)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.662
Graph:: bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3^5, R * Y1 * Y2 * R * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 14, 54)(6, 46, 8, 48)(7, 47, 17, 57)(9, 49, 20, 60)(12, 52, 25, 65)(13, 53, 22, 62)(15, 55, 28, 68)(16, 56, 19, 59)(18, 58, 31, 71)(21, 61, 34, 74)(23, 63, 29, 69)(24, 64, 33, 73)(26, 66, 36, 76)(27, 67, 30, 70)(32, 72, 39, 79)(35, 75, 40, 80)(37, 77, 38, 78)(81, 121, 83, 123, 84, 124, 92, 132, 93, 133, 106, 146, 96, 136, 95, 135, 86, 126, 85, 125)(82, 122, 87, 127, 88, 128, 98, 138, 99, 139, 112, 152, 102, 142, 101, 141, 90, 130, 89, 129)(91, 131, 103, 143, 94, 134, 107, 147, 108, 148, 117, 157, 116, 156, 115, 155, 105, 145, 104, 144)(97, 137, 109, 149, 100, 140, 113, 153, 114, 154, 120, 160, 119, 159, 118, 158, 111, 151, 110, 150)
	L = (1, 84)(2, 88)(3, 92)(4, 93)(5, 83)(6, 81)(7, 98)(8, 99)(9, 87)(10, 82)(11, 94)(12, 106)(13, 96)(14, 108)(15, 85)(16, 86)(17, 100)(18, 112)(19, 102)(20, 114)(21, 89)(22, 90)(23, 107)(24, 103)(25, 91)(26, 95)(27, 117)(28, 116)(29, 113)(30, 109)(31, 97)(32, 101)(33, 120)(34, 119)(35, 104)(36, 105)(37, 115)(38, 110)(39, 111)(40, 118)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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 = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2, (R * Y1)^2, (Y1 * Y3)^2, (R * Y2)^2, (R * Y3)^2, Y3^5, (Y3^2 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 15, 55)(6, 46, 8, 48)(7, 47, 17, 57)(9, 49, 21, 61)(12, 52, 24, 64)(13, 53, 22, 62)(14, 54, 27, 67)(16, 56, 19, 59)(18, 58, 30, 70)(20, 60, 33, 73)(23, 63, 29, 69)(25, 65, 34, 74)(26, 66, 35, 75)(28, 68, 31, 71)(32, 72, 38, 78)(36, 76, 40, 80)(37, 77, 39, 79)(81, 121, 83, 123, 86, 126, 92, 132, 96, 136, 106, 146, 93, 133, 94, 134, 84, 124, 85, 125)(82, 122, 87, 127, 90, 130, 98, 138, 102, 142, 112, 152, 99, 139, 100, 140, 88, 128, 89, 129)(91, 131, 103, 143, 95, 135, 108, 148, 107, 147, 117, 157, 115, 155, 116, 156, 104, 144, 105, 145)(97, 137, 109, 149, 101, 141, 114, 154, 113, 153, 120, 160, 118, 158, 119, 159, 110, 150, 111, 151)
	L = (1, 84)(2, 88)(3, 85)(4, 93)(5, 94)(6, 81)(7, 89)(8, 99)(9, 100)(10, 82)(11, 104)(12, 83)(13, 96)(14, 106)(15, 91)(16, 86)(17, 110)(18, 87)(19, 102)(20, 112)(21, 97)(22, 90)(23, 105)(24, 115)(25, 116)(26, 92)(27, 95)(28, 103)(29, 111)(30, 118)(31, 119)(32, 98)(33, 101)(34, 109)(35, 107)(36, 117)(37, 108)(38, 113)(39, 120)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.660
Graph:: bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y2)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, Y1 * Y2 * Y3^-3 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y3^3, Y3^-2 * Y2^8, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 18, 58)(9, 49, 24, 64)(12, 52, 22, 62)(13, 53, 28, 68)(14, 54, 26, 66)(15, 55, 19, 59)(16, 56, 33, 73)(20, 60, 36, 76)(21, 61, 29, 69)(23, 63, 32, 72)(25, 65, 35, 75)(27, 67, 31, 71)(30, 70, 34, 74)(37, 77, 40, 80)(38, 78, 39, 79)(81, 121, 83, 123, 92, 132, 109, 149, 119, 159, 116, 156, 120, 160, 112, 152, 95, 135, 85, 125)(82, 122, 87, 127, 99, 139, 106, 146, 117, 157, 108, 148, 118, 158, 113, 153, 102, 142, 89, 129)(84, 124, 93, 133, 86, 126, 94, 134, 110, 150, 98, 138, 115, 155, 104, 144, 111, 151, 96, 136)(88, 128, 100, 140, 90, 130, 101, 141, 107, 147, 91, 131, 105, 145, 97, 137, 114, 154, 103, 143)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 106)(12, 86)(13, 85)(14, 83)(15, 111)(16, 112)(17, 108)(18, 109)(19, 90)(20, 89)(21, 87)(22, 114)(23, 113)(24, 116)(25, 117)(26, 101)(27, 99)(28, 91)(29, 94)(30, 92)(31, 120)(32, 104)(33, 97)(34, 118)(35, 119)(36, 98)(37, 107)(38, 105)(39, 110)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.664
Graph:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y2^-2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 13, 53)(9, 49, 19, 59)(12, 52, 25, 65)(14, 54, 28, 68)(15, 55, 26, 66)(16, 56, 34, 74)(18, 58, 21, 61)(20, 60, 23, 63)(22, 62, 32, 72)(24, 64, 29, 69)(27, 67, 30, 70)(31, 71, 38, 78)(33, 73, 39, 79)(35, 75, 36, 76)(37, 77, 40, 80)(81, 121, 83, 123, 92, 132, 109, 149, 100, 140, 113, 153, 95, 135, 112, 152, 98, 138, 85, 125)(82, 122, 87, 127, 101, 141, 114, 154, 106, 146, 117, 157, 103, 143, 108, 148, 105, 145, 89, 129)(84, 124, 93, 133, 110, 150, 99, 139, 86, 126, 94, 134, 111, 151, 120, 160, 115, 155, 96, 136)(88, 128, 91, 131, 107, 147, 97, 137, 90, 130, 102, 142, 116, 156, 119, 159, 118, 158, 104, 144)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 91)(8, 103)(9, 104)(10, 82)(11, 108)(12, 110)(13, 112)(14, 83)(15, 111)(16, 113)(17, 89)(18, 115)(19, 85)(20, 86)(21, 107)(22, 87)(23, 116)(24, 117)(25, 118)(26, 90)(27, 105)(28, 119)(29, 99)(30, 98)(31, 92)(32, 120)(33, 94)(34, 97)(35, 100)(36, 101)(37, 102)(38, 106)(39, 114)(40, 109)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.663
Graph:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = (C10 x C2) : C2 (small group id <40, 8>)
Aut   = D8 x D10 (small group id <80, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1, Y2^-1), (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2, Y3^-2 * Y2^4, (Y2^-1 * Y3 * Y2^-1)^2, Y3^-1 * Y2^-2 * Y3^-3, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 11, 51)(4, 44, 10, 50)(5, 45, 17, 57)(6, 46, 8, 48)(7, 47, 14, 54)(9, 49, 16, 56)(12, 52, 24, 64)(13, 53, 28, 68)(15, 55, 26, 66)(18, 58, 21, 61)(19, 59, 35, 75)(20, 60, 23, 63)(22, 62, 33, 73)(25, 65, 29, 69)(27, 67, 31, 71)(30, 70, 38, 78)(32, 72, 39, 79)(34, 74, 36, 76)(37, 77, 40, 80)(81, 121, 83, 123, 92, 132, 109, 149, 95, 135, 112, 152, 100, 140, 113, 153, 98, 138, 85, 125)(82, 122, 87, 127, 101, 141, 115, 155, 103, 143, 117, 157, 106, 146, 108, 148, 104, 144, 89, 129)(84, 124, 93, 133, 110, 150, 120, 160, 114, 154, 99, 139, 86, 126, 94, 134, 111, 151, 96, 136)(88, 128, 102, 142, 116, 156, 119, 159, 118, 158, 105, 145, 90, 130, 91, 131, 107, 147, 97, 137)
	L = (1, 84)(2, 88)(3, 93)(4, 95)(5, 96)(6, 81)(7, 102)(8, 103)(9, 97)(10, 82)(11, 87)(12, 110)(13, 112)(14, 83)(15, 114)(16, 109)(17, 115)(18, 111)(19, 85)(20, 86)(21, 116)(22, 117)(23, 118)(24, 107)(25, 89)(26, 90)(27, 101)(28, 91)(29, 120)(30, 100)(31, 92)(32, 99)(33, 94)(34, 98)(35, 119)(36, 106)(37, 105)(38, 104)(39, 108)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.666 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = C10 x D8 (small group id <80, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 4, 44)(2, 42, 6, 46)(3, 43, 8, 48)(5, 45, 12, 52)(7, 47, 16, 56)(9, 49, 18, 58)(10, 50, 19, 59)(11, 51, 21, 61)(13, 53, 23, 63)(14, 54, 24, 64)(15, 55, 26, 66)(17, 57, 28, 68)(20, 60, 30, 70)(22, 62, 32, 72)(25, 65, 33, 73)(27, 67, 35, 75)(29, 69, 36, 76)(31, 71, 38, 78)(34, 74, 39, 79)(37, 77, 40, 80)(81, 82, 85, 91, 100, 109, 105, 95, 87, 83)(84, 89, 92, 102, 110, 117, 113, 107, 96, 90)(86, 93, 101, 111, 116, 114, 106, 97, 88, 94)(98, 103, 112, 118, 120, 119, 115, 108, 99, 104)(121, 123, 127, 135, 145, 149, 140, 131, 125, 122)(124, 130, 136, 147, 153, 157, 150, 142, 132, 129)(126, 134, 128, 137, 146, 154, 156, 151, 141, 133)(138, 144, 139, 148, 155, 159, 160, 158, 152, 143)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.667
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.667 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C5 x D8 (small group id <40, 10>)
Aut   = C10 x D8 (small group id <80, 46>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y3 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1, Y2^10, Y1^10 ]
Map:: non-degenerate
	R = (1, 41, 81, 121, 4, 44, 84, 124)(2, 42, 82, 122, 6, 46, 86, 126)(3, 43, 83, 123, 8, 48, 88, 128)(5, 45, 85, 125, 12, 52, 92, 132)(7, 47, 87, 127, 16, 56, 96, 136)(9, 49, 89, 129, 18, 58, 98, 138)(10, 50, 90, 130, 19, 59, 99, 139)(11, 51, 91, 131, 21, 61, 101, 141)(13, 53, 93, 133, 23, 63, 103, 143)(14, 54, 94, 134, 24, 64, 104, 144)(15, 55, 95, 135, 26, 66, 106, 146)(17, 57, 97, 137, 28, 68, 108, 148)(20, 60, 100, 140, 30, 70, 110, 150)(22, 62, 102, 142, 32, 72, 112, 152)(25, 65, 105, 145, 33, 73, 113, 153)(27, 67, 107, 147, 35, 75, 115, 155)(29, 69, 109, 149, 36, 76, 116, 156)(31, 71, 111, 151, 38, 78, 118, 158)(34, 74, 114, 154, 39, 79, 119, 159)(37, 77, 117, 157, 40, 80, 120, 160)
	L = (1, 42)(2, 45)(3, 41)(4, 49)(5, 51)(6, 53)(7, 43)(8, 54)(9, 52)(10, 44)(11, 60)(12, 62)(13, 61)(14, 46)(15, 47)(16, 50)(17, 48)(18, 63)(19, 64)(20, 69)(21, 71)(22, 70)(23, 72)(24, 58)(25, 55)(26, 57)(27, 56)(28, 59)(29, 65)(30, 77)(31, 76)(32, 78)(33, 67)(34, 66)(35, 68)(36, 74)(37, 73)(38, 80)(39, 75)(40, 79)(81, 123)(82, 121)(83, 127)(84, 130)(85, 122)(86, 134)(87, 135)(88, 137)(89, 124)(90, 136)(91, 125)(92, 129)(93, 126)(94, 128)(95, 145)(96, 147)(97, 146)(98, 144)(99, 148)(100, 131)(101, 133)(102, 132)(103, 138)(104, 139)(105, 149)(106, 154)(107, 153)(108, 155)(109, 140)(110, 142)(111, 141)(112, 143)(113, 157)(114, 156)(115, 159)(116, 151)(117, 150)(118, 152)(119, 160)(120, 158)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.666
Transitivity :: VT+
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.668 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y3 * Y2)^2, Y1^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 53, 13, 61, 21, 69, 29, 68, 28, 60, 20, 52, 12, 45, 5, 41)(3, 49, 9, 57, 17, 65, 25, 73, 33, 76, 36, 70, 30, 62, 22, 54, 14, 47, 7, 43)(4, 51, 11, 59, 19, 67, 27, 75, 35, 77, 37, 71, 31, 63, 23, 55, 15, 48, 8, 44)(10, 56, 16, 64, 24, 72, 32, 78, 38, 80, 40, 79, 39, 74, 34, 66, 26, 58, 18, 50)
	L = (1, 3)(2, 7)(4, 10)(5, 9)(6, 14)(8, 16)(11, 18)(12, 17)(13, 22)(15, 24)(19, 26)(20, 25)(21, 30)(23, 32)(27, 34)(28, 33)(29, 36)(31, 38)(35, 39)(37, 40)(41, 44)(42, 48)(43, 50)(45, 51)(46, 55)(47, 56)(49, 58)(52, 59)(53, 63)(54, 64)(57, 66)(60, 67)(61, 71)(62, 72)(65, 74)(68, 75)(69, 77)(70, 78)(73, 79)(76, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.669 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: halfedge^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y1^-1)^2, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-1)^2, Y3 * Y1^2 * Y2 * Y3 * Y2, Y1^10, (Y2 * Y1 * Y3)^10 ]
Map:: non-degenerate
	R = (1, 42, 2, 46, 6, 54, 14, 63, 23, 71, 31, 70, 30, 62, 22, 53, 13, 45, 5, 41)(3, 49, 9, 59, 19, 67, 27, 75, 35, 78, 38, 72, 32, 64, 24, 55, 15, 47, 7, 43)(4, 51, 11, 61, 21, 69, 29, 77, 37, 79, 39, 73, 33, 65, 25, 56, 16, 48, 8, 44)(10, 57, 17, 52, 12, 58, 18, 66, 26, 74, 34, 80, 40, 76, 36, 68, 28, 60, 20, 50)
	L = (1, 3)(2, 7)(4, 12)(5, 9)(6, 15)(8, 18)(10, 21)(11, 17)(13, 19)(14, 24)(16, 26)(20, 29)(22, 27)(23, 32)(25, 34)(28, 37)(30, 35)(31, 38)(33, 40)(36, 39)(41, 44)(42, 48)(43, 50)(45, 51)(46, 56)(47, 57)(49, 60)(52, 55)(53, 61)(54, 65)(58, 64)(59, 68)(62, 69)(63, 73)(66, 72)(67, 76)(70, 77)(71, 79)(74, 78)(75, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.670 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^10, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 41, 4, 44, 11, 51, 19, 59, 27, 67, 35, 75, 28, 68, 20, 60, 12, 52, 5, 45)(2, 42, 7, 47, 15, 55, 23, 63, 31, 71, 38, 78, 32, 72, 24, 64, 16, 56, 8, 48)(3, 43, 9, 49, 17, 57, 25, 65, 33, 73, 39, 79, 34, 74, 26, 66, 18, 58, 10, 50)(6, 46, 13, 53, 21, 61, 29, 69, 36, 76, 40, 80, 37, 77, 30, 70, 22, 62, 14, 54)(81, 82)(83, 86)(84, 88)(85, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 104)(100, 103)(105, 110)(106, 109)(107, 112)(108, 111)(113, 117)(114, 116)(115, 118)(119, 120)(121, 123)(122, 126)(124, 130)(125, 129)(127, 134)(128, 133)(131, 138)(132, 137)(135, 142)(136, 141)(139, 146)(140, 145)(143, 150)(144, 149)(147, 154)(148, 153)(151, 157)(152, 156)(155, 159)(158, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.672
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.671 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 10, 10})
Quotient :: edge^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^10, (Y3^-4 * Y2 * Y1)^2, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 41, 4, 44, 12, 52, 21, 61, 29, 69, 37, 77, 30, 70, 22, 62, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 25, 65, 33, 73, 40, 80, 34, 74, 26, 66, 18, 58, 8, 48)(3, 43, 10, 50, 20, 60, 28, 68, 36, 76, 38, 78, 31, 71, 23, 63, 14, 54, 11, 51)(6, 46, 15, 55, 24, 64, 32, 72, 39, 79, 35, 75, 27, 67, 19, 59, 9, 49, 16, 56)(81, 82)(83, 89)(84, 88)(85, 87)(86, 94)(90, 99)(91, 96)(92, 98)(93, 97)(95, 103)(100, 107)(101, 106)(102, 105)(104, 111)(108, 115)(109, 114)(110, 113)(112, 118)(116, 119)(117, 120)(121, 123)(122, 126)(124, 131)(125, 130)(127, 136)(128, 135)(129, 137)(132, 134)(133, 140)(138, 144)(139, 145)(141, 143)(142, 148)(146, 152)(147, 153)(149, 151)(150, 156)(154, 159)(155, 160)(157, 158)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.673
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.672 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y2)^2, (Y3 * Y1)^2, Y3^10, Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 11, 51, 91, 131, 19, 59, 99, 139, 27, 67, 107, 147, 35, 75, 115, 155, 28, 68, 108, 148, 20, 60, 100, 140, 12, 52, 92, 132, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 15, 55, 95, 135, 23, 63, 103, 143, 31, 71, 111, 151, 38, 78, 118, 158, 32, 72, 112, 152, 24, 64, 104, 144, 16, 56, 96, 136, 8, 48, 88, 128)(3, 43, 83, 123, 9, 49, 89, 129, 17, 57, 97, 137, 25, 65, 105, 145, 33, 73, 113, 153, 39, 79, 119, 159, 34, 74, 114, 154, 26, 66, 106, 146, 18, 58, 98, 138, 10, 50, 90, 130)(6, 46, 86, 126, 13, 53, 93, 133, 21, 61, 101, 141, 29, 69, 109, 149, 36, 76, 116, 156, 40, 80, 120, 160, 37, 77, 117, 157, 30, 70, 110, 150, 22, 62, 102, 142, 14, 54, 94, 134)
	L = (1, 42)(2, 41)(3, 46)(4, 48)(5, 47)(6, 43)(7, 45)(8, 44)(9, 54)(10, 53)(11, 56)(12, 55)(13, 50)(14, 49)(15, 52)(16, 51)(17, 62)(18, 61)(19, 64)(20, 63)(21, 58)(22, 57)(23, 60)(24, 59)(25, 70)(26, 69)(27, 72)(28, 71)(29, 66)(30, 65)(31, 68)(32, 67)(33, 77)(34, 76)(35, 78)(36, 74)(37, 73)(38, 75)(39, 80)(40, 79)(81, 123)(82, 126)(83, 121)(84, 130)(85, 129)(86, 122)(87, 134)(88, 133)(89, 125)(90, 124)(91, 138)(92, 137)(93, 128)(94, 127)(95, 142)(96, 141)(97, 132)(98, 131)(99, 146)(100, 145)(101, 136)(102, 135)(103, 150)(104, 149)(105, 140)(106, 139)(107, 154)(108, 153)(109, 144)(110, 143)(111, 157)(112, 156)(113, 148)(114, 147)(115, 159)(116, 152)(117, 151)(118, 160)(119, 155)(120, 158)
	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 E17.670
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.673 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 10, 10})
Quotient :: loop^2
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3^10, (Y3^-4 * Y2 * Y1)^2, Y3^4 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 41, 81, 121, 4, 44, 84, 124, 12, 52, 92, 132, 21, 61, 101, 141, 29, 69, 109, 149, 37, 77, 117, 157, 30, 70, 110, 150, 22, 62, 102, 142, 13, 53, 93, 133, 5, 45, 85, 125)(2, 42, 82, 122, 7, 47, 87, 127, 17, 57, 97, 137, 25, 65, 105, 145, 33, 73, 113, 153, 40, 80, 120, 160, 34, 74, 114, 154, 26, 66, 106, 146, 18, 58, 98, 138, 8, 48, 88, 128)(3, 43, 83, 123, 10, 50, 90, 130, 20, 60, 100, 140, 28, 68, 108, 148, 36, 76, 116, 156, 38, 78, 118, 158, 31, 71, 111, 151, 23, 63, 103, 143, 14, 54, 94, 134, 11, 51, 91, 131)(6, 46, 86, 126, 15, 55, 95, 135, 24, 64, 104, 144, 32, 72, 112, 152, 39, 79, 119, 159, 35, 75, 115, 155, 27, 67, 107, 147, 19, 59, 99, 139, 9, 49, 89, 129, 16, 56, 96, 136)
	L = (1, 42)(2, 41)(3, 49)(4, 48)(5, 47)(6, 54)(7, 45)(8, 44)(9, 43)(10, 59)(11, 56)(12, 58)(13, 57)(14, 46)(15, 63)(16, 51)(17, 53)(18, 52)(19, 50)(20, 67)(21, 66)(22, 65)(23, 55)(24, 71)(25, 62)(26, 61)(27, 60)(28, 75)(29, 74)(30, 73)(31, 64)(32, 78)(33, 70)(34, 69)(35, 68)(36, 79)(37, 80)(38, 72)(39, 76)(40, 77)(81, 123)(82, 126)(83, 121)(84, 131)(85, 130)(86, 122)(87, 136)(88, 135)(89, 137)(90, 125)(91, 124)(92, 134)(93, 140)(94, 132)(95, 128)(96, 127)(97, 129)(98, 144)(99, 145)(100, 133)(101, 143)(102, 148)(103, 141)(104, 138)(105, 139)(106, 152)(107, 153)(108, 142)(109, 151)(110, 156)(111, 149)(112, 146)(113, 147)(114, 159)(115, 160)(116, 150)(117, 158)(118, 157)(119, 154)(120, 155)
	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 E17.671
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C10 x C2 x C2 (small group id <40, 14>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 6, 46)(4, 44, 7, 47)(5, 45, 8, 48)(9, 49, 13, 53)(10, 50, 14, 54)(11, 51, 15, 55)(12, 52, 16, 56)(17, 57, 21, 61)(18, 58, 22, 62)(19, 59, 23, 63)(20, 60, 24, 64)(25, 65, 29, 69)(26, 66, 30, 70)(27, 67, 31, 71)(28, 68, 32, 72)(33, 73, 36, 76)(34, 74, 37, 77)(35, 75, 38, 78)(39, 79, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 86, 126, 93, 133, 101, 141, 109, 149, 116, 156, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131)(87, 127, 94, 134, 102, 142, 110, 150, 117, 157, 120, 160, 118, 158, 111, 151, 103, 143, 95, 135)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 91)(6, 94)(7, 82)(8, 95)(9, 98)(10, 83)(11, 85)(12, 99)(13, 102)(14, 86)(15, 88)(16, 103)(17, 106)(18, 89)(19, 92)(20, 107)(21, 110)(22, 93)(23, 96)(24, 111)(25, 114)(26, 97)(27, 100)(28, 115)(29, 117)(30, 101)(31, 104)(32, 118)(33, 119)(34, 105)(35, 108)(36, 120)(37, 109)(38, 112)(39, 113)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 8, 48)(4, 44, 7, 47)(5, 45, 6, 46)(9, 49, 16, 56)(10, 50, 15, 55)(11, 51, 14, 54)(12, 52, 13, 53)(17, 57, 24, 64)(18, 58, 23, 63)(19, 59, 22, 62)(20, 60, 21, 61)(25, 65, 32, 72)(26, 66, 31, 71)(27, 67, 30, 70)(28, 68, 29, 69)(33, 73, 36, 76)(34, 74, 38, 78)(35, 75, 37, 77)(39, 79, 40, 80)(81, 121, 83, 123, 89, 129, 97, 137, 105, 145, 113, 153, 108, 148, 100, 140, 92, 132, 85, 125)(82, 122, 86, 126, 93, 133, 101, 141, 109, 149, 116, 156, 112, 152, 104, 144, 96, 136, 88, 128)(84, 124, 90, 130, 98, 138, 106, 146, 114, 154, 119, 159, 115, 155, 107, 147, 99, 139, 91, 131)(87, 127, 94, 134, 102, 142, 110, 150, 117, 157, 120, 160, 118, 158, 111, 151, 103, 143, 95, 135)
	L = (1, 84)(2, 87)(3, 90)(4, 81)(5, 91)(6, 94)(7, 82)(8, 95)(9, 98)(10, 83)(11, 85)(12, 99)(13, 102)(14, 86)(15, 88)(16, 103)(17, 106)(18, 89)(19, 92)(20, 107)(21, 110)(22, 93)(23, 96)(24, 111)(25, 114)(26, 97)(27, 100)(28, 115)(29, 117)(30, 101)(31, 104)(32, 118)(33, 119)(34, 105)(35, 108)(36, 120)(37, 109)(38, 112)(39, 113)(40, 116)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 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:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, Y3^2 * Y2^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2^8, (Y3 * Y2^-1)^10 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 19, 59)(12, 52, 17, 57)(13, 53, 20, 60)(14, 54, 16, 56)(15, 55, 18, 58)(21, 61, 28, 68)(22, 62, 27, 67)(23, 63, 26, 66)(24, 64, 25, 65)(29, 69, 35, 75)(30, 70, 36, 76)(31, 71, 33, 73)(32, 72, 34, 74)(37, 77, 39, 79)(38, 78, 40, 80)(81, 121, 83, 123, 91, 131, 101, 141, 109, 149, 117, 157, 111, 151, 104, 144, 94, 134, 85, 125)(82, 122, 87, 127, 96, 136, 105, 145, 113, 153, 119, 159, 115, 155, 108, 148, 99, 139, 89, 129)(84, 124, 92, 132, 86, 126, 93, 133, 102, 142, 110, 150, 118, 158, 112, 152, 103, 143, 95, 135)(88, 128, 97, 137, 90, 130, 98, 138, 106, 146, 114, 154, 120, 160, 116, 156, 107, 147, 100, 140)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 97)(8, 99)(9, 100)(10, 82)(11, 86)(12, 85)(13, 83)(14, 103)(15, 104)(16, 90)(17, 89)(18, 87)(19, 107)(20, 108)(21, 93)(22, 91)(23, 111)(24, 112)(25, 98)(26, 96)(27, 115)(28, 116)(29, 102)(30, 101)(31, 118)(32, 117)(33, 106)(34, 105)(35, 120)(36, 119)(37, 110)(38, 109)(39, 114)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.677
Graph:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2), (Y2 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3 * Y2^-1 * Y3^3 * Y2^-1, (Y3^-1 * Y2^-2)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 24, 64)(12, 52, 25, 65)(13, 53, 23, 63)(14, 54, 26, 66)(15, 55, 21, 61)(16, 56, 19, 59)(17, 57, 20, 60)(18, 58, 22, 62)(27, 67, 36, 76)(28, 68, 34, 74)(29, 69, 38, 78)(30, 70, 33, 73)(31, 71, 37, 77)(32, 72, 35, 75)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 107, 147, 98, 138, 111, 151, 94, 134, 110, 150, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 113, 153, 106, 146, 117, 157, 102, 142, 116, 156, 104, 144, 89, 129)(84, 124, 92, 132, 108, 148, 97, 137, 86, 126, 93, 133, 109, 149, 119, 159, 112, 152, 95, 135)(88, 128, 100, 140, 114, 154, 105, 145, 90, 130, 101, 141, 115, 155, 120, 160, 118, 158, 103, 143)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 108)(12, 110)(13, 83)(14, 109)(15, 111)(16, 112)(17, 85)(18, 86)(19, 114)(20, 116)(21, 87)(22, 115)(23, 117)(24, 118)(25, 89)(26, 90)(27, 97)(28, 96)(29, 91)(30, 119)(31, 93)(32, 98)(33, 105)(34, 104)(35, 99)(36, 120)(37, 101)(38, 106)(39, 107)(40, 113)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.676
Graph:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 10, 10})
Quotient :: dipole
Aut^+ = C2 x C2 x D10 (small group id <40, 13>)
Aut   = C2 x C2 x C2 x D10 (small group id <80, 51>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1, Y3), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, Y2^-1 * Y3 * Y2^-3 * Y3, Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 41, 2, 42)(3, 43, 9, 49)(4, 44, 10, 50)(5, 45, 7, 47)(6, 46, 8, 48)(11, 51, 24, 64)(12, 52, 25, 65)(13, 53, 23, 63)(14, 54, 26, 66)(15, 55, 21, 61)(16, 56, 19, 59)(17, 57, 20, 60)(18, 58, 22, 62)(27, 67, 37, 77)(28, 68, 38, 78)(29, 69, 35, 75)(30, 70, 36, 76)(31, 71, 33, 73)(32, 72, 34, 74)(39, 79, 40, 80)(81, 121, 83, 123, 91, 131, 107, 147, 94, 134, 110, 150, 98, 138, 111, 151, 96, 136, 85, 125)(82, 122, 87, 127, 99, 139, 113, 153, 102, 142, 116, 156, 106, 146, 117, 157, 104, 144, 89, 129)(84, 124, 92, 132, 108, 148, 119, 159, 112, 152, 97, 137, 86, 126, 93, 133, 109, 149, 95, 135)(88, 128, 100, 140, 114, 154, 120, 160, 118, 158, 105, 145, 90, 130, 101, 141, 115, 155, 103, 143)
	L = (1, 84)(2, 88)(3, 92)(4, 94)(5, 95)(6, 81)(7, 100)(8, 102)(9, 103)(10, 82)(11, 108)(12, 110)(13, 83)(14, 112)(15, 107)(16, 109)(17, 85)(18, 86)(19, 114)(20, 116)(21, 87)(22, 118)(23, 113)(24, 115)(25, 89)(26, 90)(27, 119)(28, 98)(29, 91)(30, 97)(31, 93)(32, 96)(33, 120)(34, 106)(35, 99)(36, 105)(37, 101)(38, 104)(39, 111)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 4, 20, 4, 20 ), ( 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:: simple bipartite
	v = 24 e = 80 f = 24
	degree seq :: [ 4^20, 20^4 ]

E17.679 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^-4 * T1^4, T2^-4 * T1^-6, T1^-2 * T2^12, T2^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 26, 38, 35, 23, 11, 21, 30, 16, 6, 15, 29, 40, 33, 25, 13, 5)(2, 7, 17, 31, 37, 36, 24, 12, 4, 10, 20, 28, 14, 27, 39, 34, 22, 32, 18, 8)(41, 42, 46, 54, 66, 77, 73, 62, 51, 44)(43, 47, 55, 67, 78, 76, 65, 72, 61, 50)(45, 48, 56, 68, 59, 71, 80, 74, 63, 52)(49, 57, 69, 79, 75, 64, 53, 58, 70, 60)
	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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.684
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.680 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T1^-10, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 6, 15, 26, 33, 23, 32, 40, 36, 28, 35, 30, 21, 11, 19, 13, 5)(2, 7, 17, 25, 14, 24, 34, 39, 31, 38, 37, 29, 20, 27, 22, 12, 4, 10, 18, 8)(41, 42, 46, 54, 63, 71, 68, 60, 51, 44)(43, 47, 55, 64, 72, 78, 75, 67, 59, 50)(45, 48, 56, 65, 73, 79, 76, 69, 61, 52)(49, 57, 66, 74, 80, 77, 70, 62, 53, 58)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.683
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.681 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-2 * T2^-4, T1^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 11, 21, 28, 35, 30, 37, 40, 33, 23, 32, 26, 16, 6, 15, 13, 5)(2, 7, 17, 12, 4, 10, 20, 27, 22, 29, 36, 39, 31, 38, 34, 25, 14, 24, 18, 8)(41, 42, 46, 54, 63, 71, 70, 62, 51, 44)(43, 47, 55, 64, 72, 78, 77, 69, 61, 50)(45, 48, 56, 65, 73, 79, 75, 67, 59, 52)(49, 57, 53, 58, 66, 74, 80, 76, 68, 60)
	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) :: { ( 40^10 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.685
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 10^4, 20^2 ]

E17.682 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {10, 20, 20})
Quotient :: edge
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2 * T1^-5, T2^-1 * T1^-1 * T2^-4 * T1^-1 * T2^-1, (T1^-1 * T2^-1)^10 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 23, 11, 21, 26, 36, 40, 38, 30, 16, 6, 15, 29, 25, 13, 5)(2, 7, 17, 31, 24, 12, 4, 10, 20, 34, 39, 35, 22, 28, 14, 27, 37, 32, 18, 8)(41, 42, 46, 54, 66, 60, 49, 57, 69, 77, 80, 79, 73, 64, 53, 58, 70, 62, 51, 44)(43, 47, 55, 67, 76, 74, 59, 71, 65, 72, 78, 75, 63, 52, 45, 48, 56, 68, 61, 50)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.686
Transitivity :: ET+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.683 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T2^-4 * T1^4, T2^-4 * T1^-6, T1^-2 * T2^12, T2^20 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 26, 66, 38, 78, 35, 75, 23, 63, 11, 51, 21, 61, 30, 70, 16, 56, 6, 46, 15, 55, 29, 69, 40, 80, 33, 73, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 37, 77, 36, 76, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 28, 68, 14, 54, 27, 67, 39, 79, 34, 74, 22, 62, 32, 72, 18, 58, 8, 48)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 72)(26, 77)(27, 78)(28, 59)(29, 79)(30, 60)(31, 80)(32, 61)(33, 62)(34, 63)(35, 64)(36, 65)(37, 73)(38, 76)(39, 75)(40, 74)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.680
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.684 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (T2^-1, T1^-1), (F * T1)^2, (F * T2)^2, T2^-4 * T1^2, T1^-10, T1^10 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 16, 56, 6, 46, 15, 55, 26, 66, 33, 73, 23, 63, 32, 72, 40, 80, 36, 76, 28, 68, 35, 75, 30, 70, 21, 61, 11, 51, 19, 59, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 25, 65, 14, 54, 24, 64, 34, 74, 39, 79, 31, 71, 38, 78, 37, 77, 29, 69, 20, 60, 27, 67, 22, 62, 12, 52, 4, 44, 10, 50, 18, 58, 8, 48)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 63)(15, 64)(16, 65)(17, 66)(18, 49)(19, 50)(20, 51)(21, 52)(22, 53)(23, 71)(24, 72)(25, 73)(26, 74)(27, 59)(28, 60)(29, 61)(30, 62)(31, 68)(32, 78)(33, 79)(34, 80)(35, 67)(36, 69)(37, 70)(38, 75)(39, 76)(40, 77)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.679
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.685 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (T1, T2), (F * T1)^2, (F * T2)^2, T1^-2 * T2^-4, T1^10 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 11, 51, 21, 61, 28, 68, 35, 75, 30, 70, 37, 77, 40, 80, 33, 73, 23, 63, 32, 72, 26, 66, 16, 56, 6, 46, 15, 55, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 12, 52, 4, 44, 10, 50, 20, 60, 27, 67, 22, 62, 29, 69, 36, 76, 39, 79, 31, 71, 38, 78, 34, 74, 25, 65, 14, 54, 24, 64, 18, 58, 8, 48)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 63)(15, 64)(16, 65)(17, 53)(18, 66)(19, 52)(20, 49)(21, 50)(22, 51)(23, 71)(24, 72)(25, 73)(26, 74)(27, 59)(28, 60)(29, 61)(30, 62)(31, 70)(32, 78)(33, 79)(34, 80)(35, 67)(36, 68)(37, 69)(38, 77)(39, 75)(40, 76)
	local type(s) :: { ( 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.681
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.686 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {10, 20, 20})
Quotient :: loop
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1), T1^4 * T2^-4, T2^-2 * T1^-8, T2^10 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 26, 66, 38, 78, 33, 73, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 37, 77, 34, 74, 22, 62, 32, 72, 18, 58, 8, 48)(4, 44, 10, 50, 20, 60, 28, 68, 14, 54, 27, 67, 39, 79, 36, 76, 24, 64, 12, 52)(6, 46, 15, 55, 29, 69, 40, 80, 35, 75, 23, 63, 11, 51, 21, 61, 30, 70, 16, 56)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 72)(26, 77)(27, 78)(28, 59)(29, 79)(30, 60)(31, 80)(32, 61)(33, 62)(34, 63)(35, 64)(36, 65)(37, 75)(38, 74)(39, 73)(40, 76)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible
Dual of E17.682
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y2^-1, Y3^-1), (Y2^-1, Y1^-1), Y3^2 * Y2 * Y1^2 * Y2^-1, Y3 * Y2^4 * Y1^-3, Y3^2 * Y2^-1 * Y3 * Y2^-3 * Y3 * Y1^-2, Y1^10, (Y3^-1 * Y1^3)^5, (Y2^-1 * Y3)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 37, 77, 33, 73, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 38, 78, 36, 76, 25, 65, 32, 72, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 28, 68, 19, 59, 31, 71, 40, 80, 34, 74, 23, 63, 12, 52)(9, 49, 17, 57, 29, 69, 39, 79, 35, 75, 24, 64, 13, 53, 18, 58, 30, 70, 20, 60)(81, 121, 83, 123, 89, 129, 99, 139, 106, 146, 118, 158, 115, 155, 103, 143, 91, 131, 101, 141, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 120, 160, 113, 153, 105, 145, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 111, 151, 117, 157, 116, 156, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 108, 148, 94, 134, 107, 147, 119, 159, 114, 154, 102, 142, 112, 152, 98, 138, 88, 128)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 103)(13, 104)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 108)(20, 110)(21, 112)(22, 113)(23, 114)(24, 115)(25, 116)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 105)(33, 117)(34, 120)(35, 119)(36, 118)(37, 106)(38, 107)(39, 109)(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) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.693
Graph:: bipartite
	v = 6 e = 80 f = 42
	degree seq :: [ 20^4, 40^2 ]

E17.688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-4 * Y1^2, Y3^10, Y1^10, Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 23, 63, 31, 71, 28, 68, 20, 60, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 24, 64, 32, 72, 38, 78, 35, 75, 27, 67, 19, 59, 10, 50)(5, 45, 8, 48, 16, 56, 25, 65, 33, 73, 39, 79, 36, 76, 29, 69, 21, 61, 12, 52)(9, 49, 17, 57, 26, 66, 34, 74, 40, 80, 37, 77, 30, 70, 22, 62, 13, 53, 18, 58)(81, 121, 83, 123, 89, 129, 96, 136, 86, 126, 95, 135, 106, 146, 113, 153, 103, 143, 112, 152, 120, 160, 116, 156, 108, 148, 115, 155, 110, 150, 101, 141, 91, 131, 99, 139, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 105, 145, 94, 134, 104, 144, 114, 154, 119, 159, 111, 151, 118, 158, 117, 157, 109, 149, 100, 140, 107, 147, 102, 142, 92, 132, 84, 124, 90, 130, 98, 138, 88, 128)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 98)(10, 99)(11, 100)(12, 101)(13, 102)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 107)(20, 108)(21, 109)(22, 110)(23, 94)(24, 95)(25, 96)(26, 97)(27, 115)(28, 111)(29, 116)(30, 117)(31, 103)(32, 104)(33, 105)(34, 106)(35, 118)(36, 119)(37, 120)(38, 112)(39, 113)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.692
Graph:: bipartite
	v = 6 e = 80 f = 42
	degree seq :: [ 20^4, 40^2 ]

E17.689 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^-4 * Y1^-2, Y1^10, Y3^10, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 23, 63, 31, 71, 30, 70, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 24, 64, 32, 72, 38, 78, 37, 77, 29, 69, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 25, 65, 33, 73, 39, 79, 35, 75, 27, 67, 19, 59, 12, 52)(9, 49, 17, 57, 13, 53, 18, 58, 26, 66, 34, 74, 40, 80, 36, 76, 28, 68, 20, 60)(81, 121, 83, 123, 89, 129, 99, 139, 91, 131, 101, 141, 108, 148, 115, 155, 110, 150, 117, 157, 120, 160, 113, 153, 103, 143, 112, 152, 106, 146, 96, 136, 86, 126, 95, 135, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 92, 132, 84, 124, 90, 130, 100, 140, 107, 147, 102, 142, 109, 149, 116, 156, 119, 159, 111, 151, 118, 158, 114, 154, 105, 145, 94, 134, 104, 144, 98, 138, 88, 128)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 99)(13, 97)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 107)(20, 108)(21, 109)(22, 110)(23, 94)(24, 95)(25, 96)(26, 98)(27, 115)(28, 116)(29, 117)(30, 111)(31, 103)(32, 104)(33, 105)(34, 106)(35, 119)(36, 120)(37, 118)(38, 112)(39, 113)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.694
Graph:: bipartite
	v = 6 e = 80 f = 42
	degree seq :: [ 20^4, 40^2 ]

E17.690 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1, Y1), (R * Y1)^2, Y1^-1 * Y2^5 * Y1^-1 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-5, (Y1 * Y2^-1 * Y1)^4, (Y3^-1 * Y1^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 24, 64, 13, 53, 18, 58, 30, 70, 37, 77, 40, 80, 39, 79, 33, 73, 20, 60, 9, 49, 17, 57, 29, 69, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 36, 76, 35, 75, 25, 65, 32, 72, 19, 59, 31, 71, 38, 78, 34, 74, 21, 61, 10, 50)(81, 121, 83, 123, 89, 129, 99, 139, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 118, 158, 120, 160, 116, 156, 106, 146, 103, 143, 91, 131, 101, 141, 113, 153, 105, 145, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 111, 151, 117, 157, 108, 148, 94, 134, 107, 147, 102, 142, 114, 154, 119, 159, 115, 155, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 112, 152, 98, 138, 88, 128)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 110)(20, 112)(21, 113)(22, 114)(23, 91)(24, 92)(25, 93)(26, 103)(27, 102)(28, 94)(29, 118)(30, 96)(31, 117)(32, 98)(33, 105)(34, 119)(35, 104)(36, 106)(37, 108)(38, 120)(39, 115)(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, 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 E17.691
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.691 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3), Y2^-1 * Y3^2 * Y2^2 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-2 * Y3^-1 * Y2^-1 * Y3^-3 * Y2^-1, Y3^6 * Y2^-1 * Y3 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3^2 * Y2^-5 * Y3, Y3^-4 * Y2^-1 * Y3^-5 * Y2^-1 * Y3^-5 * Y2^-1 * Y3^-5 * Y2^-1 * Y3^-5 * Y2^-1 * Y3^-4 * Y2^-3, (Y3^-1 * Y1^-1)^20 ]
Map::
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122, 86, 126, 94, 134, 106, 146, 117, 157, 113, 153, 102, 142, 91, 131, 84, 124)(83, 123, 87, 127, 95, 135, 107, 147, 105, 145, 112, 152, 120, 160, 116, 156, 101, 141, 90, 130)(85, 125, 88, 128, 96, 136, 108, 148, 118, 158, 114, 154, 99, 139, 111, 151, 103, 143, 92, 132)(89, 129, 97, 137, 109, 149, 104, 144, 93, 133, 98, 138, 110, 150, 119, 159, 115, 155, 100, 140)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 113)(20, 114)(21, 115)(22, 116)(23, 91)(24, 92)(25, 93)(26, 105)(27, 104)(28, 94)(29, 103)(30, 96)(31, 102)(32, 98)(33, 120)(34, 117)(35, 118)(36, 119)(37, 112)(38, 106)(39, 108)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.690
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.692 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1, Y1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^2 * Y1^-3, Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-4, Y1^-1 * Y3^-2 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1^-1 * Y3^4 * Y1 * Y3^5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 37, 77, 35, 75, 24, 64, 13, 53, 18, 58, 30, 70, 20, 60, 9, 49, 17, 57, 29, 69, 39, 79, 33, 73, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 38, 78, 34, 74, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 19, 59, 31, 71, 40, 80, 36, 76, 25, 65, 32, 72, 21, 61, 10, 50)(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, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 106)(20, 108)(21, 110)(22, 112)(23, 91)(24, 92)(25, 93)(26, 118)(27, 119)(28, 94)(29, 120)(30, 96)(31, 117)(32, 98)(33, 105)(34, 102)(35, 103)(36, 104)(37, 114)(38, 113)(39, 116)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.688
Graph:: simple bipartite
	v = 42 e = 80 f = 6
	degree seq :: [ 2^40, 40^2 ]

E17.693 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, Y3^2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-10, Y3^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 9, 49, 17, 57, 24, 64, 31, 71, 27, 67, 33, 73, 39, 79, 37, 77, 30, 70, 34, 74, 28, 68, 21, 61, 13, 53, 18, 58, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 23, 63, 19, 59, 25, 65, 32, 72, 38, 78, 35, 75, 40, 80, 36, 76, 29, 69, 22, 62, 26, 66, 20, 60, 12, 52, 5, 45, 8, 48, 16, 56, 10, 50)(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, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 94)(11, 96)(12, 84)(13, 85)(14, 103)(15, 104)(16, 86)(17, 105)(18, 88)(19, 107)(20, 91)(21, 92)(22, 93)(23, 111)(24, 112)(25, 113)(26, 98)(27, 115)(28, 100)(29, 101)(30, 102)(31, 118)(32, 119)(33, 120)(34, 106)(35, 110)(36, 108)(37, 109)(38, 117)(39, 116)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.687
Graph:: simple bipartite
	v = 42 e = 80 f = 6
	degree seq :: [ 2^40, 40^2 ]

E17.694 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {10, 20, 20})
Quotient :: dipole
Aut^+ = C20 x C2 (small group id <40, 9>)
Aut   = C2 x D40 (small group id <80, 37>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3, Y1), (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y1^-4, (R * Y2 * Y3^-1)^2, Y3^-10, Y3^10, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 13, 53, 18, 58, 24, 64, 31, 71, 30, 70, 34, 74, 39, 79, 36, 76, 27, 67, 33, 73, 29, 69, 20, 60, 9, 49, 17, 57, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 12, 52, 5, 45, 8, 48, 16, 56, 23, 63, 22, 62, 26, 66, 32, 72, 38, 78, 35, 75, 40, 80, 37, 77, 28, 68, 19, 59, 25, 65, 21, 61, 10, 50)(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, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 92)(15, 91)(16, 86)(17, 105)(18, 88)(19, 107)(20, 108)(21, 109)(22, 93)(23, 94)(24, 96)(25, 113)(26, 98)(27, 115)(28, 116)(29, 117)(30, 102)(31, 103)(32, 104)(33, 120)(34, 106)(35, 110)(36, 118)(37, 119)(38, 111)(39, 112)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20, 40 ), ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.689
Graph:: simple bipartite
	v = 42 e = 80 f = 6
	degree seq :: [ 2^40, 40^2 ]

E17.695 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 20, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^5 * T1^-2, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 16, 6, 15, 29, 38, 36, 26, 35, 40, 33, 23, 11, 21, 25, 13, 5)(2, 7, 17, 30, 28, 14, 27, 37, 39, 32, 22, 31, 34, 24, 12, 4, 10, 20, 18, 8)(41, 42, 46, 54, 66, 62, 51, 44)(43, 47, 55, 67, 75, 71, 61, 50)(45, 48, 56, 68, 76, 72, 63, 52)(49, 57, 69, 77, 80, 74, 65, 60)(53, 58, 59, 70, 78, 79, 73, 64)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 80^8 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E17.704
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 40 f = 1
	degree seq :: [ 8^5, 20^2 ]

E17.696 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 20, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^5 * T1^2, T1^-8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 23, 11, 21, 32, 39, 36, 26, 35, 38, 29, 16, 6, 15, 25, 13, 5)(2, 7, 17, 24, 12, 4, 10, 20, 31, 34, 22, 33, 40, 37, 28, 14, 27, 30, 18, 8)(41, 42, 46, 54, 66, 62, 51, 44)(43, 47, 55, 67, 75, 73, 61, 50)(45, 48, 56, 68, 76, 74, 63, 52)(49, 57, 65, 70, 78, 80, 72, 60)(53, 58, 69, 77, 79, 71, 59, 64)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 80^8 ), ( 80^20 ) }
Outer automorphisms :: reflexible
Dual of E17.703
Transitivity :: ET+
Graph:: bipartite
	v = 7 e = 40 f = 1
	degree seq :: [ 8^5, 20^2 ]

E17.697 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 20, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^11, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 16, 22, 28, 34, 40, 35, 29, 23, 17, 11, 8, 2, 7, 15, 21, 27, 33, 39, 36, 30, 24, 18, 12, 4, 10, 6, 14, 20, 26, 32, 38, 37, 31, 25, 19, 13, 5)(41, 42, 46, 49, 55, 60, 62, 67, 72, 74, 79, 77, 75, 70, 65, 63, 58, 53, 51, 44)(43, 47, 54, 56, 61, 66, 68, 73, 78, 80, 76, 71, 69, 64, 59, 57, 52, 45, 48, 50)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 16^20 ), ( 16^40 ) }
Outer automorphisms :: reflexible
Dual of E17.705
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.698 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 20, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-4 * T1^-1 * T2^-2, T1^-5 * T2^-2 * T1^-2, T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-4, T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 24, 12, 4, 10, 20, 32, 37, 23, 11, 21, 33, 38, 26, 36, 22, 34, 39, 28, 14, 27, 35, 40, 30, 16, 6, 15, 29, 31, 18, 8, 2, 7, 17, 25, 13, 5)(41, 42, 46, 54, 66, 77, 64, 53, 58, 70, 79, 73, 60, 49, 57, 69, 75, 62, 51, 44)(43, 47, 55, 67, 76, 63, 52, 45, 48, 56, 68, 78, 72, 59, 65, 71, 80, 74, 61, 50)
	L = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)
	local type(s) :: { ( 16^20 ), ( 16^40 ) }
Outer automorphisms :: reflexible
Dual of E17.706
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 40 f = 5
	degree seq :: [ 20^2, 40 ]

E17.699 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 20, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2), T1^-5 * T2^-3, T2^8, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-3 * T2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 25, 13, 5)(2, 7, 17, 31, 40, 32, 18, 8)(4, 10, 20, 34, 37, 26, 24, 12)(6, 15, 29, 22, 36, 39, 30, 16)(11, 21, 35, 38, 28, 14, 27, 23)(41, 42, 46, 54, 66, 65, 72, 79, 75, 60, 49, 57, 69, 63, 52, 45, 48, 56, 68, 77, 73, 80, 76, 61, 50, 43, 47, 55, 67, 64, 53, 58, 70, 78, 74, 59, 71, 62, 51, 44)
	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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.702
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.700 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 20, 40})
Quotient :: edge
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-5, T2^8, (T1^-1 * T2^-1)^20 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 29, 23, 13, 5)(2, 7, 17, 27, 36, 28, 18, 8)(4, 10, 20, 30, 37, 32, 22, 12)(6, 15, 25, 34, 40, 35, 26, 16)(11, 14, 24, 33, 39, 38, 31, 21)(41, 42, 46, 54, 50, 43, 47, 55, 64, 60, 49, 57, 65, 73, 70, 59, 67, 74, 79, 77, 69, 76, 80, 78, 72, 63, 68, 75, 71, 62, 53, 58, 66, 61, 52, 45, 48, 56, 51, 44)
	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) :: { ( 40^8 ), ( 40^40 ) }
Outer automorphisms :: reflexible
Dual of E17.701
Transitivity :: ET+
Graph:: bipartite
	v = 6 e = 40 f = 2
	degree seq :: [ 8^5, 40 ]

E17.701 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 20, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^5 * T1^-2, T1^8 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 16, 56, 6, 46, 15, 55, 29, 69, 38, 78, 36, 76, 26, 66, 35, 75, 40, 80, 33, 73, 23, 63, 11, 51, 21, 61, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 30, 70, 28, 68, 14, 54, 27, 67, 37, 77, 39, 79, 32, 72, 22, 62, 31, 71, 34, 74, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 18, 58, 8, 48)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 68)(17, 69)(18, 59)(19, 70)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 60)(26, 62)(27, 75)(28, 76)(29, 77)(30, 78)(31, 61)(32, 63)(33, 64)(34, 65)(35, 71)(36, 72)(37, 80)(38, 79)(39, 73)(40, 74)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.700
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.702 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 20, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^5 * T1^2, T1^-8 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 23, 63, 11, 51, 21, 61, 32, 72, 39, 79, 36, 76, 26, 66, 35, 75, 38, 78, 29, 69, 16, 56, 6, 46, 15, 55, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 31, 71, 34, 74, 22, 62, 33, 73, 40, 80, 37, 77, 28, 68, 14, 54, 27, 67, 30, 70, 18, 58, 8, 48)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 68)(17, 65)(18, 69)(19, 64)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 70)(26, 62)(27, 75)(28, 76)(29, 77)(30, 78)(31, 59)(32, 60)(33, 61)(34, 63)(35, 73)(36, 74)(37, 79)(38, 80)(39, 71)(40, 72)
	local type(s) :: { ( 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.699
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 40 f = 6
	degree seq :: [ 40^2 ]

E17.703 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 20, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1 * T2^-1 * T1 * T2^-1 * T1, T1 * T2 * T1 * T2^11, (T1^-1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 16, 56, 22, 62, 28, 68, 34, 74, 40, 80, 35, 75, 29, 69, 23, 63, 17, 57, 11, 51, 8, 48, 2, 42, 7, 47, 15, 55, 21, 61, 27, 67, 33, 73, 39, 79, 36, 76, 30, 70, 24, 64, 18, 58, 12, 52, 4, 44, 10, 50, 6, 46, 14, 54, 20, 60, 26, 66, 32, 72, 38, 78, 37, 77, 31, 71, 25, 65, 19, 59, 13, 53, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 49)(7, 54)(8, 50)(9, 55)(10, 43)(11, 44)(12, 45)(13, 51)(14, 56)(15, 60)(16, 61)(17, 52)(18, 53)(19, 57)(20, 62)(21, 66)(22, 67)(23, 58)(24, 59)(25, 63)(26, 68)(27, 72)(28, 73)(29, 64)(30, 65)(31, 69)(32, 74)(33, 78)(34, 79)(35, 70)(36, 71)(37, 75)(38, 80)(39, 77)(40, 76)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.696
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 7
	degree seq :: [ 80 ]

E17.704 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 20, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-4 * T1^-1 * T2^-2, T1^-5 * T2^-2 * T1^-2, T2^2 * T1^-1 * T2 * T1^-1 * T2 * T1^-4, T1^-3 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 24, 64, 12, 52, 4, 44, 10, 50, 20, 60, 32, 72, 37, 77, 23, 63, 11, 51, 21, 61, 33, 73, 38, 78, 26, 66, 36, 76, 22, 62, 34, 74, 39, 79, 28, 68, 14, 54, 27, 67, 35, 75, 40, 80, 30, 70, 16, 56, 6, 46, 15, 55, 29, 69, 31, 71, 18, 58, 8, 48, 2, 42, 7, 47, 17, 57, 25, 65, 13, 53, 5, 45)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 65)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 71)(26, 77)(27, 76)(28, 78)(29, 75)(30, 79)(31, 80)(32, 59)(33, 60)(34, 61)(35, 62)(36, 63)(37, 64)(38, 72)(39, 73)(40, 74)
	local type(s) :: { ( 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.695
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 40 f = 7
	degree seq :: [ 80 ]

E17.705 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 20, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1, T2), T1^-5 * T2^-3, T2^8, T2 * T1^-1 * T2 * T1^-1 * T2^2 * T1^-3 * T2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 33, 73, 25, 65, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 31, 71, 40, 80, 32, 72, 18, 58, 8, 48)(4, 44, 10, 50, 20, 60, 34, 74, 37, 77, 26, 66, 24, 64, 12, 52)(6, 46, 15, 55, 29, 69, 22, 62, 36, 76, 39, 79, 30, 70, 16, 56)(11, 51, 21, 61, 35, 75, 38, 78, 28, 68, 14, 54, 27, 67, 23, 63)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 66)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 49)(21, 50)(22, 51)(23, 52)(24, 53)(25, 72)(26, 65)(27, 64)(28, 77)(29, 63)(30, 78)(31, 62)(32, 79)(33, 80)(34, 59)(35, 60)(36, 61)(37, 73)(38, 74)(39, 75)(40, 76)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.697
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 40 f = 3
	degree seq :: [ 16^5 ]

E17.706 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 20, 40})
Quotient :: loop
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2 * T1^-5, T2^8, (T1^-1 * T2^-1)^20 ]
Map:: non-degenerate
	R = (1, 41, 3, 43, 9, 49, 19, 59, 29, 69, 23, 63, 13, 53, 5, 45)(2, 42, 7, 47, 17, 57, 27, 67, 36, 76, 28, 68, 18, 58, 8, 48)(4, 44, 10, 50, 20, 60, 30, 70, 37, 77, 32, 72, 22, 62, 12, 52)(6, 46, 15, 55, 25, 65, 34, 74, 40, 80, 35, 75, 26, 66, 16, 56)(11, 51, 14, 54, 24, 64, 33, 73, 39, 79, 38, 78, 31, 71, 21, 61)
	L = (1, 42)(2, 46)(3, 47)(4, 41)(5, 48)(6, 54)(7, 55)(8, 56)(9, 57)(10, 43)(11, 44)(12, 45)(13, 58)(14, 50)(15, 64)(16, 51)(17, 65)(18, 66)(19, 67)(20, 49)(21, 52)(22, 53)(23, 68)(24, 60)(25, 73)(26, 61)(27, 74)(28, 75)(29, 76)(30, 59)(31, 62)(32, 63)(33, 70)(34, 79)(35, 71)(36, 80)(37, 69)(38, 72)(39, 77)(40, 78)
	local type(s) :: { ( 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40, 20, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.698
Transitivity :: ET+ VT+ AT
Graph::
	v = 5 e = 40 f = 3
	degree seq :: [ 16^5 ]

E17.707 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), (R * Y2)^2, (R * Y1)^2, Y3^-2 * Y2^5, Y3^-8, Y1^8, Y3^8 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 35, 75, 33, 73, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 28, 68, 36, 76, 34, 74, 23, 63, 12, 52)(9, 49, 17, 57, 25, 65, 30, 70, 38, 78, 40, 80, 32, 72, 20, 60)(13, 53, 18, 58, 29, 69, 37, 77, 39, 79, 31, 71, 19, 59, 24, 64)(81, 121, 83, 123, 89, 129, 99, 139, 103, 143, 91, 131, 101, 141, 112, 152, 119, 159, 116, 156, 106, 146, 115, 155, 118, 158, 109, 149, 96, 136, 86, 126, 95, 135, 105, 145, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 111, 151, 114, 154, 102, 142, 113, 153, 120, 160, 117, 157, 108, 148, 94, 134, 107, 147, 110, 150, 98, 138, 88, 128)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 103)(13, 104)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 111)(20, 112)(21, 113)(22, 106)(23, 114)(24, 99)(25, 97)(26, 94)(27, 95)(28, 96)(29, 98)(30, 105)(31, 119)(32, 120)(33, 115)(34, 116)(35, 107)(36, 108)(37, 109)(38, 110)(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, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E17.713
Graph:: bipartite
	v = 7 e = 80 f = 41
	degree seq :: [ 16^5, 40^2 ]

E17.708 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y2, Y1^-1), (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), Y3^2 * Y2^5, Y3^8 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 35, 75, 31, 71, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 28, 68, 36, 76, 32, 72, 23, 63, 12, 52)(9, 49, 17, 57, 29, 69, 37, 77, 40, 80, 34, 74, 25, 65, 20, 60)(13, 53, 18, 58, 19, 59, 30, 70, 38, 78, 39, 79, 33, 73, 24, 64)(81, 121, 83, 123, 89, 129, 99, 139, 96, 136, 86, 126, 95, 135, 109, 149, 118, 158, 116, 156, 106, 146, 115, 155, 120, 160, 113, 153, 103, 143, 91, 131, 101, 141, 105, 145, 93, 133, 85, 125)(82, 122, 87, 127, 97, 137, 110, 150, 108, 148, 94, 134, 107, 147, 117, 157, 119, 159, 112, 152, 102, 142, 111, 151, 114, 154, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 98, 138, 88, 128)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 103)(13, 104)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 98)(20, 105)(21, 111)(22, 106)(23, 112)(24, 113)(25, 114)(26, 94)(27, 95)(28, 96)(29, 97)(30, 99)(31, 115)(32, 116)(33, 119)(34, 120)(35, 107)(36, 108)(37, 109)(38, 110)(39, 118)(40, 117)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ), ( 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80, 2, 80 ) }
Outer automorphisms :: reflexible
Dual of E17.714
Graph:: bipartite
	v = 7 e = 80 f = 41
	degree seq :: [ 16^5, 40^2 ]

E17.709 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1, Y1), R * Y2 * R * Y3, (R * Y1)^2, Y2^-4 * Y1^-1 * Y2^-2, Y1^-5 * Y2^-2 * Y1^-2, Y1^-1 * Y2 * Y1^-2 * Y2^3 * Y1^-3, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 37, 77, 24, 64, 13, 53, 18, 58, 30, 70, 39, 79, 33, 73, 20, 60, 9, 49, 17, 57, 29, 69, 35, 75, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 36, 76, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 38, 78, 32, 72, 19, 59, 25, 65, 31, 71, 40, 80, 34, 74, 21, 61, 10, 50)(81, 121, 83, 123, 89, 129, 99, 139, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 112, 152, 117, 157, 103, 143, 91, 131, 101, 141, 113, 153, 118, 158, 106, 146, 116, 156, 102, 142, 114, 154, 119, 159, 108, 148, 94, 134, 107, 147, 115, 155, 120, 160, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 111, 151, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 105, 145, 93, 133, 85, 125)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 105)(18, 88)(19, 104)(20, 112)(21, 113)(22, 114)(23, 91)(24, 92)(25, 93)(26, 116)(27, 115)(28, 94)(29, 111)(30, 96)(31, 98)(32, 117)(33, 118)(34, 119)(35, 120)(36, 102)(37, 103)(38, 106)(39, 108)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.712
Graph:: bipartite
	v = 3 e = 80 f = 45
	degree seq :: [ 40^2, 80 ]

E17.710 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, R * Y2 * R * Y3, (R * Y1)^2, (Y2^-1, Y1^-1), Y2^-2 * Y1^3, Y2^-12 * Y1^-2, Y1^2 * Y2^12, (Y3^-1 * Y1^-1)^8, Y2^40 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 9, 49, 15, 55, 20, 60, 22, 62, 27, 67, 32, 72, 34, 74, 39, 79, 37, 77, 35, 75, 30, 70, 25, 65, 23, 63, 18, 58, 13, 53, 11, 51, 4, 44)(3, 43, 7, 47, 14, 54, 16, 56, 21, 61, 26, 66, 28, 68, 33, 73, 38, 78, 40, 80, 36, 76, 31, 71, 29, 69, 24, 64, 19, 59, 17, 57, 12, 52, 5, 45, 8, 48, 10, 50)(81, 121, 83, 123, 89, 129, 96, 136, 102, 142, 108, 148, 114, 154, 120, 160, 115, 155, 109, 149, 103, 143, 97, 137, 91, 131, 88, 128, 82, 122, 87, 127, 95, 135, 101, 141, 107, 147, 113, 153, 119, 159, 116, 156, 110, 150, 104, 144, 98, 138, 92, 132, 84, 124, 90, 130, 86, 126, 94, 134, 100, 140, 106, 146, 112, 152, 118, 158, 117, 157, 111, 151, 105, 145, 99, 139, 93, 133, 85, 125)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 94)(7, 95)(8, 82)(9, 96)(10, 86)(11, 88)(12, 84)(13, 85)(14, 100)(15, 101)(16, 102)(17, 91)(18, 92)(19, 93)(20, 106)(21, 107)(22, 108)(23, 97)(24, 98)(25, 99)(26, 112)(27, 113)(28, 114)(29, 103)(30, 104)(31, 105)(32, 118)(33, 119)(34, 120)(35, 109)(36, 110)(37, 111)(38, 117)(39, 116)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.711
Graph:: bipartite
	v = 3 e = 80 f = 45
	degree seq :: [ 40^2, 80 ]

E17.711 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1, Y2), Y3^5 * Y2^-3, Y2^8, (Y2^-1 * Y3)^20, (Y3^-1 * Y1^-1)^40 ]
Map::
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122, 86, 126, 94, 134, 106, 146, 102, 142, 91, 131, 84, 124)(83, 123, 87, 127, 95, 135, 107, 147, 117, 157, 113, 153, 101, 141, 90, 130)(85, 125, 88, 128, 96, 136, 108, 148, 118, 158, 114, 154, 103, 143, 92, 132)(89, 129, 97, 137, 109, 149, 119, 159, 116, 156, 105, 145, 112, 152, 100, 140)(93, 133, 98, 138, 110, 150, 99, 139, 111, 151, 120, 160, 115, 155, 104, 144)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 108)(20, 110)(21, 112)(22, 113)(23, 91)(24, 92)(25, 93)(26, 117)(27, 119)(28, 94)(29, 120)(30, 96)(31, 118)(32, 98)(33, 105)(34, 102)(35, 103)(36, 104)(37, 116)(38, 106)(39, 115)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E17.710
Graph:: simple bipartite
	v = 45 e = 80 f = 3
	degree seq :: [ 2^40, 16^5 ]

E17.712 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2, Y3^-1), Y2^-1 * Y3^-5, Y2^8, Y2^-3 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^40 ]
Map::
	R = (1, 41)(2, 42)(3, 43)(4, 44)(5, 45)(6, 46)(7, 47)(8, 48)(9, 49)(10, 50)(11, 51)(12, 52)(13, 53)(14, 54)(15, 55)(16, 56)(17, 57)(18, 58)(19, 59)(20, 60)(21, 61)(22, 62)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 71)(32, 72)(33, 73)(34, 74)(35, 75)(36, 76)(37, 77)(38, 78)(39, 79)(40, 80)(81, 121, 82, 122, 86, 126, 94, 134, 104, 144, 102, 142, 91, 131, 84, 124)(83, 123, 87, 127, 95, 135, 105, 145, 113, 153, 111, 151, 101, 141, 90, 130)(85, 125, 88, 128, 96, 136, 106, 146, 114, 154, 112, 152, 103, 143, 92, 132)(89, 129, 97, 137, 107, 147, 115, 155, 119, 159, 118, 158, 110, 150, 100, 140)(93, 133, 98, 138, 108, 148, 116, 156, 120, 160, 117, 157, 109, 149, 99, 139)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 105)(15, 107)(16, 86)(17, 93)(18, 88)(19, 92)(20, 109)(21, 110)(22, 111)(23, 91)(24, 113)(25, 115)(26, 94)(27, 98)(28, 96)(29, 103)(30, 117)(31, 118)(32, 102)(33, 119)(34, 104)(35, 108)(36, 106)(37, 112)(38, 120)(39, 116)(40, 114)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 80 ), ( 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80, 40, 80 ) }
Outer automorphisms :: reflexible
Dual of E17.709
Graph:: simple bipartite
	v = 45 e = 80 f = 3
	degree seq :: [ 2^40, 16^5 ]

E17.713 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, Y3^8, Y3^-3 * Y1^-5, (Y1 * Y3^-1)^5, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 25, 65, 32, 72, 39, 79, 35, 75, 20, 60, 9, 49, 17, 57, 29, 69, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 37, 77, 33, 73, 40, 80, 36, 76, 21, 61, 10, 50, 3, 43, 7, 47, 15, 55, 27, 67, 24, 64, 13, 53, 18, 58, 30, 70, 38, 78, 34, 74, 19, 59, 31, 71, 22, 62, 11, 51, 4, 44)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 111)(18, 88)(19, 113)(20, 114)(21, 115)(22, 116)(23, 91)(24, 92)(25, 93)(26, 104)(27, 103)(28, 94)(29, 102)(30, 96)(31, 120)(32, 98)(33, 105)(34, 117)(35, 118)(36, 119)(37, 106)(38, 108)(39, 110)(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) :: { ( 16, 40 ), ( 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.707
Graph:: bipartite
	v = 41 e = 80 f = 7
	degree seq :: [ 2^40, 80 ]

E17.714 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), Y1^-5 * Y3, (R * Y2 * Y3^-1)^2, Y3^8, (Y3 * Y2^-1)^8, (Y1^-1 * Y3^-1)^20 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 10, 50, 3, 43, 7, 47, 15, 55, 24, 64, 20, 60, 9, 49, 17, 57, 25, 65, 33, 73, 30, 70, 19, 59, 27, 67, 34, 74, 39, 79, 37, 77, 29, 69, 36, 76, 40, 80, 38, 78, 32, 72, 23, 63, 28, 68, 35, 75, 31, 71, 22, 62, 13, 53, 18, 58, 26, 66, 21, 61, 12, 52, 5, 45, 8, 48, 16, 56, 11, 51, 4, 44)(81, 121)(82, 122)(83, 123)(84, 124)(85, 125)(86, 126)(87, 127)(88, 128)(89, 129)(90, 130)(91, 131)(92, 132)(93, 133)(94, 134)(95, 135)(96, 136)(97, 137)(98, 138)(99, 139)(100, 140)(101, 141)(102, 142)(103, 143)(104, 144)(105, 145)(106, 146)(107, 147)(108, 148)(109, 149)(110, 150)(111, 151)(112, 152)(113, 153)(114, 154)(115, 155)(116, 156)(117, 157)(118, 158)(119, 159)(120, 160)
	L = (1, 83)(2, 87)(3, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 94)(12, 84)(13, 85)(14, 104)(15, 105)(16, 86)(17, 107)(18, 88)(19, 109)(20, 110)(21, 91)(22, 92)(23, 93)(24, 113)(25, 114)(26, 96)(27, 116)(28, 98)(29, 103)(30, 117)(31, 101)(32, 102)(33, 119)(34, 120)(35, 106)(36, 108)(37, 112)(38, 111)(39, 118)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16, 40 ), ( 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40, 16, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.708
Graph:: bipartite
	v = 41 e = 80 f = 7
	degree seq :: [ 2^40, 80 ]

E17.715 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3^-1 * Y1^-1, Y1^-1 * Y3^-1, Y2 * Y3 * Y2^-1 * Y1, (R * Y3)^2, Y3 * Y2 * Y1 * Y2^-1, (R * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-3 * Y1^-1, Y1^8, Y2^2 * Y3 * Y2^3 * Y1^4, Y3^24, Y2^2 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^2 * Y3 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 37, 77, 36, 76, 21, 61, 10, 50)(5, 45, 8, 48, 16, 56, 28, 68, 38, 78, 33, 73, 23, 63, 12, 52)(9, 49, 17, 57, 29, 69, 25, 65, 32, 72, 40, 80, 35, 75, 20, 60)(13, 53, 18, 58, 30, 70, 39, 79, 34, 74, 19, 59, 31, 71, 24, 64)(81, 121, 83, 123, 89, 129, 99, 139, 113, 153, 102, 142, 116, 156, 120, 160, 110, 150, 96, 136, 86, 126, 95, 135, 109, 149, 104, 144, 92, 132, 84, 124, 90, 130, 100, 140, 114, 154, 118, 158, 106, 146, 117, 157, 112, 152, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 111, 151, 103, 143, 91, 131, 101, 141, 115, 155, 119, 159, 108, 148, 94, 134, 107, 147, 105, 145, 93, 133, 85, 125)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 100)(10, 101)(11, 102)(12, 103)(13, 104)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 114)(20, 115)(21, 116)(22, 106)(23, 113)(24, 111)(25, 109)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 105)(33, 118)(34, 119)(35, 120)(36, 117)(37, 107)(38, 108)(39, 110)(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, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.718
Graph:: bipartite
	v = 6 e = 80 f = 42
	degree seq :: [ 16^5, 80 ]

E17.716 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3^-1, Y2^-1), (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1, Y1^-1), Y2^5 * Y1^-1, Y1^8, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 24, 64, 21, 61, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 25, 65, 33, 73, 30, 70, 20, 60, 10, 50)(5, 45, 8, 48, 16, 56, 26, 66, 34, 74, 31, 71, 22, 62, 12, 52)(9, 49, 17, 57, 27, 67, 35, 75, 39, 79, 37, 77, 29, 69, 19, 59)(13, 53, 18, 58, 28, 68, 36, 76, 40, 80, 38, 78, 32, 72, 23, 63)(81, 121, 83, 123, 89, 129, 98, 138, 88, 128, 82, 122, 87, 127, 97, 137, 108, 148, 96, 136, 86, 126, 95, 135, 107, 147, 116, 156, 106, 146, 94, 134, 105, 145, 115, 155, 120, 160, 114, 154, 104, 144, 113, 153, 119, 159, 118, 158, 111, 151, 101, 141, 110, 150, 117, 157, 112, 152, 102, 142, 91, 131, 100, 140, 109, 149, 103, 143, 92, 132, 84, 124, 90, 130, 99, 139, 93, 133, 85, 125)
	L = (1, 84)(2, 81)(3, 90)(4, 91)(5, 92)(6, 82)(7, 83)(8, 85)(9, 99)(10, 100)(11, 101)(12, 102)(13, 103)(14, 86)(15, 87)(16, 88)(17, 89)(18, 93)(19, 109)(20, 110)(21, 104)(22, 111)(23, 112)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 117)(30, 113)(31, 114)(32, 118)(33, 105)(34, 106)(35, 107)(36, 108)(37, 119)(38, 120)(39, 115)(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, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.717
Graph:: bipartite
	v = 6 e = 80 f = 42
	degree seq :: [ 16^5, 80 ]

E17.717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^5, Y1^4 * Y3 * Y1 * Y3 * Y1^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^3 * Y3^-2 * Y1, Y3^-1 * Y1^4 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^4, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 14, 54, 26, 66, 37, 77, 24, 64, 13, 53, 18, 58, 30, 70, 39, 79, 33, 73, 20, 60, 9, 49, 17, 57, 29, 69, 35, 75, 22, 62, 11, 51, 4, 44)(3, 43, 7, 47, 15, 55, 27, 67, 36, 76, 23, 63, 12, 52, 5, 45, 8, 48, 16, 56, 28, 68, 38, 78, 32, 72, 19, 59, 25, 65, 31, 71, 40, 80, 34, 74, 21, 61, 10, 50)(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, 89)(4, 90)(5, 81)(6, 95)(7, 97)(8, 82)(9, 99)(10, 100)(11, 101)(12, 84)(13, 85)(14, 107)(15, 109)(16, 86)(17, 105)(18, 88)(19, 104)(20, 112)(21, 113)(22, 114)(23, 91)(24, 92)(25, 93)(26, 116)(27, 115)(28, 94)(29, 111)(30, 96)(31, 98)(32, 117)(33, 118)(34, 119)(35, 120)(36, 102)(37, 103)(38, 106)(39, 108)(40, 110)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16, 80 ), ( 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80 ) }
Outer automorphisms :: reflexible
Dual of E17.716
Graph:: simple bipartite
	v = 42 e = 80 f = 6
	degree seq :: [ 2^40, 40^2 ]

E17.718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 20, 40})
Quotient :: dipole
Aut^+ = C40 (small group id <40, 2>)
Aut   = D80 (small group id <80, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), Y3^-2 * Y1^3, (R * Y2 * Y3^-1)^2, Y3^-12 * Y1^-2, Y1^2 * Y3^12, (Y1^-1 * Y3^-1)^8, (Y3 * Y2^-1)^40 ]
Map::
	R = (1, 41, 2, 42, 6, 46, 9, 49, 15, 55, 20, 60, 22, 62, 27, 67, 32, 72, 34, 74, 39, 79, 37, 77, 35, 75, 30, 70, 25, 65, 23, 63, 18, 58, 13, 53, 11, 51, 4, 44)(3, 43, 7, 47, 14, 54, 16, 56, 21, 61, 26, 66, 28, 68, 33, 73, 38, 78, 40, 80, 36, 76, 31, 71, 29, 69, 24, 64, 19, 59, 17, 57, 12, 52, 5, 45, 8, 48, 10, 50)(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, 89)(4, 90)(5, 81)(6, 94)(7, 95)(8, 82)(9, 96)(10, 86)(11, 88)(12, 84)(13, 85)(14, 100)(15, 101)(16, 102)(17, 91)(18, 92)(19, 93)(20, 106)(21, 107)(22, 108)(23, 97)(24, 98)(25, 99)(26, 112)(27, 113)(28, 114)(29, 103)(30, 104)(31, 105)(32, 118)(33, 119)(34, 120)(35, 109)(36, 110)(37, 111)(38, 117)(39, 116)(40, 115)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 16, 80 ), ( 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80, 16, 80 ) }
Outer automorphisms :: reflexible
Dual of E17.715
Graph:: simple bipartite
	v = 42 e = 80 f = 6
	degree seq :: [ 2^40, 40^2 ]

E17.719 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y3)^2, Y2 * Y1^-1 * Y3^2 * Y1^-1, Y1^-1 * Y2 * Y3^-2 * Y2, Y2 * Y1 * Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46, 18, 60, 42, 84, 21, 63, 33, 75, 8, 50, 31, 73, 25, 67, 35, 77, 12, 54, 38, 80, 29, 71, 7, 49)(2, 44, 9, 51, 34, 76, 26, 68, 6, 48, 24, 66, 20, 62, 28, 70, 36, 78, 41, 83, 30, 72, 16, 58, 14, 56, 11, 53)(3, 45, 13, 55, 39, 81, 19, 61, 40, 82, 27, 69, 32, 74, 22, 64, 5, 47, 17, 59, 23, 65, 37, 79, 10, 52, 15, 57)(85, 86, 89)(87, 96, 98)(88, 100, 103)(90, 107, 109)(91, 110, 99)(92, 114, 116)(93, 111, 119)(94, 102, 120)(95, 121, 117)(97, 115, 112)(101, 122, 125)(104, 124, 113)(105, 118, 123)(106, 126, 108)(127, 129, 132)(128, 134, 136)(130, 143, 135)(131, 146, 147)(133, 153, 154)(137, 164, 139)(138, 158, 160)(140, 144, 166)(141, 167, 168)(142, 157, 148)(145, 152, 159)(149, 156, 155)(150, 161, 163)(151, 165, 162)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 8^3 ), ( 8^28 ) }
Outer automorphisms :: reflexible
Dual of E17.722
Graph:: simple bipartite
	v = 31 e = 84 f = 21
	degree seq :: [ 3^28, 28^3 ]

E17.720 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 3, 3, 14})
Quotient :: edge^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1)^3, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 4, 46)(2, 44, 8, 50)(3, 45, 11, 53)(5, 47, 13, 55)(6, 48, 14, 56)(7, 49, 20, 62)(9, 51, 22, 64)(10, 52, 25, 67)(12, 54, 27, 69)(15, 57, 29, 71)(16, 58, 30, 72)(17, 59, 31, 73)(18, 60, 32, 74)(19, 61, 35, 77)(21, 63, 36, 78)(23, 65, 37, 79)(24, 66, 38, 80)(26, 68, 39, 81)(28, 70, 40, 82)(33, 75, 41, 83)(34, 76, 42, 84)(85, 86, 89)(87, 94, 96)(88, 92, 97)(90, 101, 102)(91, 103, 105)(93, 107, 108)(95, 109, 111)(98, 115, 116)(99, 112, 117)(100, 110, 118)(104, 119, 120)(106, 121, 122)(113, 124, 125)(114, 123, 126)(127, 129, 132)(128, 133, 135)(130, 137, 140)(131, 141, 142)(134, 146, 148)(136, 147, 152)(138, 149, 154)(139, 155, 156)(143, 145, 159)(144, 160, 150)(151, 162, 165)(153, 163, 166)(157, 161, 167)(158, 168, 164)
	L = (1, 85)(2, 86)(3, 87)(4, 88)(5, 89)(6, 90)(7, 91)(8, 92)(9, 93)(10, 94)(11, 95)(12, 96)(13, 97)(14, 98)(15, 99)(16, 100)(17, 101)(18, 102)(19, 103)(20, 104)(21, 105)(22, 106)(23, 107)(24, 108)(25, 109)(26, 110)(27, 111)(28, 112)(29, 113)(30, 114)(31, 115)(32, 116)(33, 117)(34, 118)(35, 119)(36, 120)(37, 121)(38, 122)(39, 123)(40, 124)(41, 125)(42, 126)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 56^3 ), ( 56^4 ) }
Outer automorphisms :: reflexible
Dual of E17.721
Graph:: simple bipartite
	v = 49 e = 84 f = 3
	degree seq :: [ 3^28, 4^21 ]

E17.721 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, R * Y1 * R * Y2, Y2^-1 * Y3^-1 * Y1^-1 * Y3, (R * Y3)^2, Y2 * Y1^-1 * Y3^2 * Y1^-1, Y1^-1 * Y2 * Y3^-2 * Y2, Y2 * Y1 * Y2^-1 * Y3^-2 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y3^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130, 18, 60, 102, 144, 42, 84, 126, 168, 21, 63, 105, 147, 33, 75, 117, 159, 8, 50, 92, 134, 31, 73, 115, 157, 25, 67, 109, 151, 35, 77, 119, 161, 12, 54, 96, 138, 38, 80, 122, 164, 29, 71, 113, 155, 7, 49, 91, 133)(2, 44, 86, 128, 9, 51, 93, 135, 34, 76, 118, 160, 26, 68, 110, 152, 6, 48, 90, 132, 24, 66, 108, 150, 20, 62, 104, 146, 28, 70, 112, 154, 36, 78, 120, 162, 41, 83, 125, 167, 30, 72, 114, 156, 16, 58, 100, 142, 14, 56, 98, 140, 11, 53, 95, 137)(3, 45, 87, 129, 13, 55, 97, 139, 39, 81, 123, 165, 19, 61, 103, 145, 40, 82, 124, 166, 27, 69, 111, 153, 32, 74, 116, 158, 22, 64, 106, 148, 5, 47, 89, 131, 17, 59, 101, 143, 23, 65, 107, 149, 37, 79, 121, 163, 10, 52, 94, 136, 15, 57, 99, 141)
	L = (1, 44)(2, 47)(3, 54)(4, 58)(5, 43)(6, 65)(7, 68)(8, 72)(9, 69)(10, 60)(11, 79)(12, 56)(13, 73)(14, 45)(15, 49)(16, 61)(17, 80)(18, 78)(19, 46)(20, 82)(21, 76)(22, 84)(23, 67)(24, 64)(25, 48)(26, 57)(27, 77)(28, 55)(29, 62)(30, 74)(31, 70)(32, 50)(33, 53)(34, 81)(35, 51)(36, 52)(37, 75)(38, 83)(39, 63)(40, 71)(41, 59)(42, 66)(85, 129)(86, 134)(87, 132)(88, 143)(89, 146)(90, 127)(91, 153)(92, 136)(93, 130)(94, 128)(95, 164)(96, 158)(97, 137)(98, 144)(99, 167)(100, 157)(101, 135)(102, 166)(103, 152)(104, 147)(105, 131)(106, 142)(107, 156)(108, 161)(109, 165)(110, 159)(111, 154)(112, 133)(113, 149)(114, 155)(115, 148)(116, 160)(117, 145)(118, 138)(119, 163)(120, 151)(121, 150)(122, 139)(123, 162)(124, 140)(125, 168)(126, 141)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.720
Transitivity :: VT+
Graph::
	v = 3 e = 84 f = 49
	degree seq :: [ 56^3 ]

E17.722 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 3, 3, 14})
Quotient :: loop^2
Aut^+ = C2 x (C7 : C3) (small group id <42, 2>)
Aut   = C2 x ((C7 : C3) : C2) (small group id <84, 7>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, R * Y1 * R * Y2, (R * Y3)^2, Y1^-1 * Y3 * Y1 * Y3, Y3 * Y2 * Y3 * Y2^-1, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1)^3, (Y3 * Y1^-1 * Y2^-1)^14 ]
Map:: non-degenerate
	R = (1, 43, 85, 127, 4, 46, 88, 130)(2, 44, 86, 128, 8, 50, 92, 134)(3, 45, 87, 129, 11, 53, 95, 137)(5, 47, 89, 131, 13, 55, 97, 139)(6, 48, 90, 132, 14, 56, 98, 140)(7, 49, 91, 133, 20, 62, 104, 146)(9, 51, 93, 135, 22, 64, 106, 148)(10, 52, 94, 136, 25, 67, 109, 151)(12, 54, 96, 138, 27, 69, 111, 153)(15, 57, 99, 141, 29, 71, 113, 155)(16, 58, 100, 142, 30, 72, 114, 156)(17, 59, 101, 143, 31, 73, 115, 157)(18, 60, 102, 144, 32, 74, 116, 158)(19, 61, 103, 145, 35, 77, 119, 161)(21, 63, 105, 147, 36, 78, 120, 162)(23, 65, 107, 149, 37, 79, 121, 163)(24, 66, 108, 150, 38, 80, 122, 164)(26, 68, 110, 152, 39, 81, 123, 165)(28, 70, 112, 154, 40, 82, 124, 166)(33, 75, 117, 159, 41, 83, 125, 167)(34, 76, 118, 160, 42, 84, 126, 168)
	L = (1, 44)(2, 47)(3, 52)(4, 50)(5, 43)(6, 59)(7, 61)(8, 55)(9, 65)(10, 54)(11, 67)(12, 45)(13, 46)(14, 73)(15, 70)(16, 68)(17, 60)(18, 48)(19, 63)(20, 77)(21, 49)(22, 79)(23, 66)(24, 51)(25, 69)(26, 76)(27, 53)(28, 75)(29, 82)(30, 81)(31, 74)(32, 56)(33, 57)(34, 58)(35, 78)(36, 62)(37, 80)(38, 64)(39, 84)(40, 83)(41, 71)(42, 72)(85, 129)(86, 133)(87, 132)(88, 137)(89, 141)(90, 127)(91, 135)(92, 146)(93, 128)(94, 147)(95, 140)(96, 149)(97, 155)(98, 130)(99, 142)(100, 131)(101, 145)(102, 160)(103, 159)(104, 148)(105, 152)(106, 134)(107, 154)(108, 144)(109, 162)(110, 136)(111, 163)(112, 138)(113, 156)(114, 139)(115, 161)(116, 168)(117, 143)(118, 150)(119, 167)(120, 165)(121, 166)(122, 158)(123, 151)(124, 153)(125, 157)(126, 164)
	local type(s) :: { ( 3, 28, 3, 28, 3, 28, 3, 28 ) }
Outer automorphisms :: reflexible
Dual of E17.719
Transitivity :: VT+
Graph::
	v = 21 e = 84 f = 31
	degree seq :: [ 8^21 ]

E17.723 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-6, T2^7 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 34, 22, 11, 21, 33, 42, 39, 28, 16, 6, 15, 27, 36, 24, 13, 5)(2, 7, 17, 29, 35, 23, 12, 4, 10, 20, 32, 41, 38, 26, 14, 25, 37, 40, 30, 18, 8)(43, 44, 48, 56, 53, 46)(45, 49, 57, 67, 63, 52)(47, 50, 58, 68, 64, 54)(51, 59, 69, 79, 75, 62)(55, 60, 70, 80, 76, 65)(61, 71, 78, 82, 84, 74)(66, 72, 81, 83, 73, 77)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 84^6 ), ( 84^21 ) }
Outer automorphisms :: reflexible
Dual of E17.727
Transitivity :: ET+
Graph:: bipartite
	v = 9 e = 42 f = 1
	degree seq :: [ 6^7, 21^2 ]

E17.724 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-2 * T1^5, T2 * T1 * T2^7, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 34, 24, 12, 4, 10, 20, 31, 39, 41, 33, 23, 11, 21, 14, 26, 36, 42, 40, 32, 22, 16, 6, 15, 27, 37, 38, 29, 18, 8, 2, 7, 17, 28, 35, 25, 13, 5)(43, 44, 48, 56, 62, 51, 59, 69, 78, 81, 72, 77, 80, 82, 75, 66, 55, 60, 64, 53, 46)(45, 49, 57, 68, 73, 61, 70, 79, 84, 83, 76, 67, 71, 74, 65, 54, 47, 50, 58, 63, 52)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 12^21 ), ( 12^42 ) }
Outer automorphisms :: reflexible
Dual of E17.728
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 42 f = 7
	degree seq :: [ 21^2, 42 ]

E17.725 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 21, 42})
Quotient :: edge
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^6, T2 * T1^-7, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 30, 18, 8)(4, 10, 20, 31, 24, 12)(6, 15, 28, 38, 29, 16)(11, 21, 32, 39, 34, 23)(14, 26, 36, 42, 37, 27)(22, 25, 35, 41, 40, 33)(43, 44, 48, 56, 67, 63, 52, 45, 49, 57, 68, 77, 74, 62, 51, 59, 70, 78, 83, 81, 73, 61, 72, 80, 84, 82, 76, 66, 55, 60, 71, 79, 75, 65, 54, 47, 50, 58, 69, 64, 53, 46)
	L = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)
	local type(s) :: { ( 42^6 ), ( 42^42 ) }
Outer automorphisms :: reflexible
Dual of E17.726
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 42 f = 2
	degree seq :: [ 6^7, 42 ]

E17.726 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^-6, T2^7 * T1^2 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 31, 73, 34, 76, 22, 64, 11, 53, 21, 63, 33, 75, 42, 84, 39, 81, 28, 70, 16, 58, 6, 48, 15, 57, 27, 69, 36, 78, 24, 66, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 29, 71, 35, 77, 23, 65, 12, 54, 4, 46, 10, 52, 20, 62, 32, 74, 41, 83, 38, 80, 26, 68, 14, 56, 25, 67, 37, 79, 40, 82, 30, 72, 18, 60, 8, 50)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 53)(15, 67)(16, 68)(17, 69)(18, 70)(19, 71)(20, 51)(21, 52)(22, 54)(23, 55)(24, 72)(25, 63)(26, 64)(27, 79)(28, 80)(29, 78)(30, 81)(31, 77)(32, 61)(33, 62)(34, 65)(35, 66)(36, 82)(37, 75)(38, 76)(39, 83)(40, 84)(41, 73)(42, 74)
	local type(s) :: { ( 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42, 6, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.725
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 42 f = 8
	degree seq :: [ 42^2 ]

E17.727 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-2 * T1^5, T2 * T1 * T2^7, (T1^-1 * T2^-1)^6 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 30, 72, 34, 76, 24, 66, 12, 54, 4, 46, 10, 52, 20, 62, 31, 73, 39, 81, 41, 83, 33, 75, 23, 65, 11, 53, 21, 63, 14, 56, 26, 68, 36, 78, 42, 84, 40, 82, 32, 74, 22, 64, 16, 58, 6, 48, 15, 57, 27, 69, 37, 79, 38, 80, 29, 71, 18, 60, 8, 50, 2, 44, 7, 49, 17, 59, 28, 70, 35, 77, 25, 67, 13, 55, 5, 47)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 62)(15, 68)(16, 63)(17, 69)(18, 64)(19, 70)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 71)(26, 73)(27, 78)(28, 79)(29, 74)(30, 77)(31, 61)(32, 65)(33, 66)(34, 67)(35, 80)(36, 81)(37, 84)(38, 82)(39, 72)(40, 75)(41, 76)(42, 83)
	local type(s) :: { ( 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21, 6, 21 ) }
Outer automorphisms :: reflexible
Dual of E17.723
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 42 f = 9
	degree seq :: [ 84 ]

E17.728 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 21, 42})
Quotient :: loop
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^6, T2 * T1^-7, (T1^-1 * T2^-1)^21 ]
Map:: non-degenerate
	R = (1, 43, 3, 45, 9, 51, 19, 61, 13, 55, 5, 47)(2, 44, 7, 49, 17, 59, 30, 72, 18, 60, 8, 50)(4, 46, 10, 52, 20, 62, 31, 73, 24, 66, 12, 54)(6, 48, 15, 57, 28, 70, 38, 80, 29, 71, 16, 58)(11, 53, 21, 63, 32, 74, 39, 81, 34, 76, 23, 65)(14, 56, 26, 68, 36, 78, 42, 84, 37, 79, 27, 69)(22, 64, 25, 67, 35, 77, 41, 83, 40, 82, 33, 75)
	L = (1, 44)(2, 48)(3, 49)(4, 43)(5, 50)(6, 56)(7, 57)(8, 58)(9, 59)(10, 45)(11, 46)(12, 47)(13, 60)(14, 67)(15, 68)(16, 69)(17, 70)(18, 71)(19, 72)(20, 51)(21, 52)(22, 53)(23, 54)(24, 55)(25, 63)(26, 77)(27, 64)(28, 78)(29, 79)(30, 80)(31, 61)(32, 62)(33, 65)(34, 66)(35, 74)(36, 83)(37, 75)(38, 84)(39, 73)(40, 76)(41, 81)(42, 82)
	local type(s) :: { ( 21, 42, 21, 42, 21, 42, 21, 42, 21, 42, 21, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.724
Transitivity :: ET+ VT+ AT
Graph::
	v = 7 e = 42 f = 3
	degree seq :: [ 12^7 ]

E17.729 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y1^6, Y2^7 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 25, 67, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 26, 68, 22, 64, 12, 54)(9, 51, 17, 59, 27, 69, 37, 79, 33, 75, 20, 62)(13, 55, 18, 60, 28, 70, 38, 80, 34, 76, 23, 65)(19, 61, 29, 71, 36, 78, 40, 82, 42, 84, 32, 74)(24, 66, 30, 72, 39, 81, 41, 83, 31, 73, 35, 77)(85, 127, 87, 129, 93, 135, 103, 145, 115, 157, 118, 160, 106, 148, 95, 137, 105, 147, 117, 159, 126, 168, 123, 165, 112, 154, 100, 142, 90, 132, 99, 141, 111, 153, 120, 162, 108, 150, 97, 139, 89, 131)(86, 128, 91, 133, 101, 143, 113, 155, 119, 161, 107, 149, 96, 138, 88, 130, 94, 136, 104, 146, 116, 158, 125, 167, 122, 164, 110, 152, 98, 140, 109, 151, 121, 163, 124, 166, 114, 156, 102, 144, 92, 134)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 98)(12, 106)(13, 107)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 116)(20, 117)(21, 109)(22, 110)(23, 118)(24, 119)(25, 99)(26, 100)(27, 101)(28, 102)(29, 103)(30, 108)(31, 125)(32, 126)(33, 121)(34, 122)(35, 115)(36, 113)(37, 111)(38, 112)(39, 114)(40, 120)(41, 123)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ), ( 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84, 2, 84 ) }
Outer automorphisms :: reflexible
Dual of E17.732
Graph:: bipartite
	v = 9 e = 84 f = 43
	degree seq :: [ 12^7, 42^2 ]

E17.730 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, (Y2, Y1), Y2^-2 * Y1^5, Y2 * Y1 * Y2^7, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 20, 62, 9, 51, 17, 59, 27, 69, 36, 78, 39, 81, 30, 72, 35, 77, 38, 80, 40, 82, 33, 75, 24, 66, 13, 55, 18, 60, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 31, 73, 19, 61, 28, 70, 37, 79, 42, 84, 41, 83, 34, 76, 25, 67, 29, 71, 32, 74, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 21, 63, 10, 52)(85, 127, 87, 129, 93, 135, 103, 145, 114, 156, 118, 160, 108, 150, 96, 138, 88, 130, 94, 136, 104, 146, 115, 157, 123, 165, 125, 167, 117, 159, 107, 149, 95, 137, 105, 147, 98, 140, 110, 152, 120, 162, 126, 168, 124, 166, 116, 158, 106, 148, 100, 142, 90, 132, 99, 141, 111, 153, 121, 163, 122, 164, 113, 155, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 112, 154, 119, 161, 109, 151, 97, 139, 89, 131)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 110)(15, 111)(16, 90)(17, 112)(18, 92)(19, 114)(20, 115)(21, 98)(22, 100)(23, 95)(24, 96)(25, 97)(26, 120)(27, 121)(28, 119)(29, 102)(30, 118)(31, 123)(32, 106)(33, 107)(34, 108)(35, 109)(36, 126)(37, 122)(38, 113)(39, 125)(40, 116)(41, 117)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.731
Graph:: bipartite
	v = 3 e = 84 f = 49
	degree seq :: [ 42^2, 84 ]

E17.731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^6, Y2^-1 * Y3^-7, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^42 ]
Map::
	R = (1, 43)(2, 44)(3, 45)(4, 46)(5, 47)(6, 48)(7, 49)(8, 50)(9, 51)(10, 52)(11, 53)(12, 54)(13, 55)(14, 56)(15, 57)(16, 58)(17, 59)(18, 60)(19, 61)(20, 62)(21, 63)(22, 64)(23, 65)(24, 66)(25, 67)(26, 68)(27, 69)(28, 70)(29, 71)(30, 72)(31, 73)(32, 74)(33, 75)(34, 76)(35, 77)(36, 78)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(85, 127, 86, 128, 90, 132, 98, 140, 95, 137, 88, 130)(87, 129, 91, 133, 99, 141, 109, 151, 105, 147, 94, 136)(89, 131, 92, 134, 100, 142, 110, 152, 106, 148, 96, 138)(93, 135, 101, 143, 111, 153, 119, 161, 117, 159, 104, 146)(97, 139, 102, 144, 112, 154, 120, 162, 118, 160, 107, 149)(103, 145, 113, 155, 121, 163, 125, 167, 124, 166, 116, 158)(108, 150, 114, 156, 122, 164, 126, 168, 123, 165, 115, 157)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 109)(15, 111)(16, 90)(17, 113)(18, 92)(19, 115)(20, 116)(21, 117)(22, 95)(23, 96)(24, 97)(25, 119)(26, 98)(27, 121)(28, 100)(29, 108)(30, 102)(31, 107)(32, 123)(33, 124)(34, 106)(35, 125)(36, 110)(37, 114)(38, 112)(39, 118)(40, 126)(41, 122)(42, 120)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 42, 84 ), ( 42, 84, 42, 84, 42, 84, 42, 84, 42, 84, 42, 84 ) }
Outer automorphisms :: reflexible
Dual of E17.730
Graph:: simple bipartite
	v = 49 e = 84 f = 3
	degree seq :: [ 2^42, 12^7 ]

E17.732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^6, Y1^-7 * Y3, (Y3 * Y2^-1)^6, (Y1^-1 * Y3^-1)^21 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 25, 67, 21, 63, 10, 52, 3, 45, 7, 49, 15, 57, 26, 68, 35, 77, 32, 74, 20, 62, 9, 51, 17, 59, 28, 70, 36, 78, 41, 83, 39, 81, 31, 73, 19, 61, 30, 72, 38, 80, 42, 84, 40, 82, 34, 76, 24, 66, 13, 55, 18, 60, 29, 71, 37, 79, 33, 75, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 27, 69, 22, 64, 11, 53, 4, 46)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 110)(15, 112)(16, 90)(17, 114)(18, 92)(19, 97)(20, 115)(21, 116)(22, 109)(23, 95)(24, 96)(25, 119)(26, 120)(27, 98)(28, 122)(29, 100)(30, 102)(31, 108)(32, 123)(33, 106)(34, 107)(35, 125)(36, 126)(37, 111)(38, 113)(39, 118)(40, 117)(41, 124)(42, 121)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 42 ), ( 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42, 12, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.729
Graph:: bipartite
	v = 43 e = 84 f = 9
	degree seq :: [ 2^42, 84 ]

E17.733 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^6, Y2^7 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 25, 67, 21, 63, 10, 52)(5, 47, 8, 50, 16, 58, 26, 68, 22, 64, 12, 54)(9, 51, 17, 59, 27, 69, 35, 77, 32, 74, 20, 62)(13, 55, 18, 60, 28, 70, 36, 78, 33, 75, 23, 65)(19, 61, 29, 71, 37, 79, 41, 83, 39, 81, 31, 73)(24, 66, 30, 72, 38, 80, 42, 84, 40, 82, 34, 76)(85, 127, 87, 129, 93, 135, 103, 145, 114, 156, 102, 144, 92, 134, 86, 128, 91, 133, 101, 143, 113, 155, 122, 164, 112, 154, 100, 142, 90, 132, 99, 141, 111, 153, 121, 163, 126, 168, 120, 162, 110, 152, 98, 140, 109, 151, 119, 161, 125, 167, 124, 166, 117, 159, 106, 148, 95, 137, 105, 147, 116, 158, 123, 165, 118, 160, 107, 149, 96, 138, 88, 130, 94, 136, 104, 146, 115, 157, 108, 150, 97, 139, 89, 131)
	L = (1, 88)(2, 85)(3, 94)(4, 95)(5, 96)(6, 86)(7, 87)(8, 89)(9, 104)(10, 105)(11, 98)(12, 106)(13, 107)(14, 90)(15, 91)(16, 92)(17, 93)(18, 97)(19, 115)(20, 116)(21, 109)(22, 110)(23, 117)(24, 118)(25, 99)(26, 100)(27, 101)(28, 102)(29, 103)(30, 108)(31, 123)(32, 119)(33, 120)(34, 124)(35, 111)(36, 112)(37, 113)(38, 114)(39, 125)(40, 126)(41, 121)(42, 122)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ), ( 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42, 2, 42 ) }
Outer automorphisms :: reflexible
Dual of E17.734
Graph:: bipartite
	v = 8 e = 84 f = 44
	degree seq :: [ 12^7, 84 ]

E17.734 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 21, 42})
Quotient :: dipole
Aut^+ = C42 (small group id <42, 6>)
Aut   = D84 (small group id <84, 14>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^5, Y3 * Y1 * Y3^7, (Y1^-1 * Y3^-1)^6, (Y3 * Y2^-1)^42 ]
Map::
	R = (1, 43, 2, 44, 6, 48, 14, 56, 20, 62, 9, 51, 17, 59, 27, 69, 36, 78, 39, 81, 30, 72, 35, 77, 38, 80, 40, 82, 33, 75, 24, 66, 13, 55, 18, 60, 22, 64, 11, 53, 4, 46)(3, 45, 7, 49, 15, 57, 26, 68, 31, 73, 19, 61, 28, 70, 37, 79, 42, 84, 41, 83, 34, 76, 25, 67, 29, 71, 32, 74, 23, 65, 12, 54, 5, 47, 8, 50, 16, 58, 21, 63, 10, 52)(85, 127)(86, 128)(87, 129)(88, 130)(89, 131)(90, 132)(91, 133)(92, 134)(93, 135)(94, 136)(95, 137)(96, 138)(97, 139)(98, 140)(99, 141)(100, 142)(101, 143)(102, 144)(103, 145)(104, 146)(105, 147)(106, 148)(107, 149)(108, 150)(109, 151)(110, 152)(111, 153)(112, 154)(113, 155)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 166)(125, 167)(126, 168)
	L = (1, 87)(2, 91)(3, 93)(4, 94)(5, 85)(6, 99)(7, 101)(8, 86)(9, 103)(10, 104)(11, 105)(12, 88)(13, 89)(14, 110)(15, 111)(16, 90)(17, 112)(18, 92)(19, 114)(20, 115)(21, 98)(22, 100)(23, 95)(24, 96)(25, 97)(26, 120)(27, 121)(28, 119)(29, 102)(30, 118)(31, 123)(32, 106)(33, 107)(34, 108)(35, 109)(36, 126)(37, 122)(38, 113)(39, 125)(40, 116)(41, 117)(42, 124)(43, 127)(44, 128)(45, 129)(46, 130)(47, 131)(48, 132)(49, 133)(50, 134)(51, 135)(52, 136)(53, 137)(54, 138)(55, 139)(56, 140)(57, 141)(58, 142)(59, 143)(60, 144)(61, 145)(62, 146)(63, 147)(64, 148)(65, 149)(66, 150)(67, 151)(68, 152)(69, 153)(70, 154)(71, 155)(72, 156)(73, 157)(74, 158)(75, 159)(76, 160)(77, 161)(78, 162)(79, 163)(80, 164)(81, 165)(82, 166)(83, 167)(84, 168)
	local type(s) :: { ( 12, 84 ), ( 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84, 12, 84 ) }
Outer automorphisms :: reflexible
Dual of E17.733
Graph:: simple bipartite
	v = 44 e = 84 f = 8
	degree seq :: [ 2^42, 42^2 ]

E17.735 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y3^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-1 * Y2 * Y3, Y3 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2)^3, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 9, 57, 11, 59)(3, 51, 13, 61, 15, 63)(5, 53, 20, 68, 22, 70)(6, 54, 17, 65, 25, 73)(8, 56, 29, 77, 31, 79)(10, 58, 32, 80, 36, 84)(12, 60, 18, 66, 27, 75)(14, 62, 41, 89, 30, 78)(16, 64, 26, 74, 21, 69)(19, 67, 45, 93, 40, 88)(23, 71, 35, 83, 44, 92)(24, 72, 48, 96, 47, 95)(28, 76, 33, 81, 37, 85)(34, 82, 38, 86, 46, 94)(39, 87, 43, 91, 42, 90)(97, 98, 101)(99, 108, 110)(100, 109, 113)(102, 119, 120)(103, 122, 123)(104, 124, 126)(105, 125, 128)(106, 130, 131)(107, 121, 133)(111, 139, 140)(112, 116, 141)(114, 142, 127)(115, 135, 137)(117, 143, 134)(118, 132, 138)(129, 144, 136)(145, 147, 150)(146, 152, 154)(148, 160, 162)(149, 163, 165)(151, 155, 166)(153, 161, 177)(156, 182, 173)(157, 183, 179)(158, 184, 186)(159, 171, 174)(164, 176, 187)(167, 180, 190)(168, 189, 172)(169, 188, 191)(170, 192, 178)(175, 181, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.737
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 3^32, 6^16 ]

E17.736 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {3, 3, 3, 3})
Quotient :: edge^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52, 7, 55)(2, 50, 8, 56, 10, 58)(3, 51, 12, 60, 5, 53)(6, 54, 18, 66, 13, 61)(9, 57, 23, 71, 15, 63)(11, 59, 25, 73, 27, 75)(14, 62, 30, 78, 31, 79)(16, 64, 33, 81, 21, 69)(17, 65, 19, 67, 35, 83)(20, 68, 38, 86, 39, 87)(22, 70, 24, 72, 42, 90)(26, 74, 46, 94, 28, 76)(29, 77, 43, 91, 41, 89)(32, 80, 48, 96, 47, 95)(34, 82, 40, 88, 36, 84)(37, 85, 45, 93, 44, 92)(97, 98, 101)(99, 107, 109)(100, 110, 111)(102, 113, 103)(104, 116, 117)(105, 118, 106)(108, 112, 124)(114, 125, 132)(115, 133, 127)(119, 128, 139)(120, 140, 135)(121, 138, 137)(122, 141, 123)(126, 142, 143)(129, 136, 144)(130, 134, 131)(145, 147, 150)(146, 148, 153)(149, 152, 160)(151, 163, 158)(154, 168, 164)(155, 156, 170)(157, 169, 173)(159, 174, 176)(161, 162, 178)(165, 182, 184)(166, 167, 185)(171, 188, 186)(172, 177, 191)(175, 189, 190)(179, 183, 181)(180, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.738
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 3^32, 6^16 ]

E17.737 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2^3, Y3^3, Y1^3, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3^-1 * Y2 * Y3, Y3 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2)^3, Y2 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 9, 57, 105, 153, 11, 59, 107, 155)(3, 51, 99, 147, 13, 61, 109, 157, 15, 63, 111, 159)(5, 53, 101, 149, 20, 68, 116, 164, 22, 70, 118, 166)(6, 54, 102, 150, 17, 65, 113, 161, 25, 73, 121, 169)(8, 56, 104, 152, 29, 77, 125, 173, 31, 79, 127, 175)(10, 58, 106, 154, 32, 80, 128, 176, 36, 84, 132, 180)(12, 60, 108, 156, 18, 66, 114, 162, 27, 75, 123, 171)(14, 62, 110, 158, 41, 89, 137, 185, 30, 78, 126, 174)(16, 64, 112, 160, 26, 74, 122, 170, 21, 69, 117, 165)(19, 67, 115, 163, 45, 93, 141, 189, 40, 88, 136, 184)(23, 71, 119, 167, 35, 83, 131, 179, 44, 92, 140, 188)(24, 72, 120, 168, 48, 96, 144, 192, 47, 95, 143, 191)(28, 76, 124, 172, 33, 81, 129, 177, 37, 85, 133, 181)(34, 82, 130, 178, 38, 86, 134, 182, 46, 94, 142, 190)(39, 87, 135, 183, 43, 91, 139, 187, 42, 90, 138, 186)
	L = (1, 50)(2, 53)(3, 60)(4, 61)(5, 49)(6, 71)(7, 74)(8, 76)(9, 77)(10, 82)(11, 73)(12, 62)(13, 65)(14, 51)(15, 91)(16, 68)(17, 52)(18, 94)(19, 87)(20, 93)(21, 95)(22, 84)(23, 72)(24, 54)(25, 85)(26, 75)(27, 55)(28, 78)(29, 80)(30, 56)(31, 66)(32, 57)(33, 96)(34, 83)(35, 58)(36, 90)(37, 59)(38, 69)(39, 89)(40, 81)(41, 67)(42, 70)(43, 92)(44, 63)(45, 64)(46, 79)(47, 86)(48, 88)(97, 147)(98, 152)(99, 150)(100, 160)(101, 163)(102, 145)(103, 155)(104, 154)(105, 161)(106, 146)(107, 166)(108, 182)(109, 183)(110, 184)(111, 171)(112, 162)(113, 177)(114, 148)(115, 165)(116, 176)(117, 149)(118, 151)(119, 180)(120, 189)(121, 188)(122, 192)(123, 174)(124, 168)(125, 156)(126, 159)(127, 181)(128, 187)(129, 153)(130, 170)(131, 157)(132, 190)(133, 185)(134, 173)(135, 179)(136, 186)(137, 175)(138, 158)(139, 164)(140, 191)(141, 172)(142, 167)(143, 169)(144, 178)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.735
Transitivity :: VT+
Graph::
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.738 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {3, 3, 3, 3})
Quotient :: loop^2
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y3^3, Y2^-1 * Y1^-1 * Y3, Y1^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148, 7, 55, 103, 151)(2, 50, 98, 146, 8, 56, 104, 152, 10, 58, 106, 154)(3, 51, 99, 147, 12, 60, 108, 156, 5, 53, 101, 149)(6, 54, 102, 150, 18, 66, 114, 162, 13, 61, 109, 157)(9, 57, 105, 153, 23, 71, 119, 167, 15, 63, 111, 159)(11, 59, 107, 155, 25, 73, 121, 169, 27, 75, 123, 171)(14, 62, 110, 158, 30, 78, 126, 174, 31, 79, 127, 175)(16, 64, 112, 160, 33, 81, 129, 177, 21, 69, 117, 165)(17, 65, 113, 161, 19, 67, 115, 163, 35, 83, 131, 179)(20, 68, 116, 164, 38, 86, 134, 182, 39, 87, 135, 183)(22, 70, 118, 166, 24, 72, 120, 168, 42, 90, 138, 186)(26, 74, 122, 170, 46, 94, 142, 190, 28, 76, 124, 172)(29, 77, 125, 173, 43, 91, 139, 187, 41, 89, 137, 185)(32, 80, 128, 176, 48, 96, 144, 192, 47, 95, 143, 191)(34, 82, 130, 178, 40, 88, 136, 184, 36, 84, 132, 180)(37, 85, 133, 181, 45, 93, 141, 189, 44, 92, 140, 188)
	L = (1, 50)(2, 53)(3, 59)(4, 62)(5, 49)(6, 65)(7, 54)(8, 68)(9, 70)(10, 57)(11, 61)(12, 64)(13, 51)(14, 63)(15, 52)(16, 76)(17, 55)(18, 77)(19, 85)(20, 69)(21, 56)(22, 58)(23, 80)(24, 92)(25, 90)(26, 93)(27, 74)(28, 60)(29, 84)(30, 94)(31, 67)(32, 91)(33, 88)(34, 86)(35, 82)(36, 66)(37, 79)(38, 83)(39, 72)(40, 96)(41, 73)(42, 89)(43, 71)(44, 87)(45, 75)(46, 95)(47, 78)(48, 81)(97, 147)(98, 148)(99, 150)(100, 153)(101, 152)(102, 145)(103, 163)(104, 160)(105, 146)(106, 168)(107, 156)(108, 170)(109, 169)(110, 151)(111, 174)(112, 149)(113, 162)(114, 178)(115, 158)(116, 154)(117, 182)(118, 167)(119, 185)(120, 164)(121, 173)(122, 155)(123, 188)(124, 177)(125, 157)(126, 176)(127, 189)(128, 159)(129, 191)(130, 161)(131, 183)(132, 187)(133, 179)(134, 184)(135, 181)(136, 165)(137, 166)(138, 171)(139, 192)(140, 186)(141, 190)(142, 175)(143, 172)(144, 180)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.736
Transitivity :: VT+
Graph::
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.739 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2, Y1^3, Y2^2 * Y3^-1, R * Y2 * R * Y3^-1, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 8, 56, 9, 57)(4, 52, 10, 58, 11, 59)(6, 54, 14, 62, 15, 63)(7, 55, 16, 64, 17, 65)(12, 60, 25, 73, 22, 70)(13, 61, 26, 74, 27, 75)(18, 66, 33, 81, 34, 82)(19, 67, 23, 71, 35, 83)(20, 68, 36, 84, 37, 85)(21, 69, 38, 86, 39, 87)(24, 72, 40, 88, 28, 76)(29, 77, 31, 79, 44, 92)(30, 78, 45, 93, 46, 94)(32, 80, 47, 95, 41, 89)(42, 90, 43, 91, 48, 96)(97, 145, 99, 147, 100, 148)(98, 146, 102, 150, 103, 151)(101, 149, 108, 156, 109, 157)(104, 152, 114, 162, 115, 163)(105, 153, 112, 160, 116, 164)(106, 154, 117, 165, 118, 166)(107, 155, 119, 167, 120, 168)(110, 158, 124, 172, 125, 173)(111, 159, 122, 170, 126, 174)(113, 161, 127, 175, 128, 176)(121, 169, 137, 185, 138, 186)(123, 171, 139, 187, 129, 177)(130, 178, 132, 180, 142, 190)(131, 179, 144, 192, 140, 188)(133, 181, 143, 191, 134, 182)(135, 183, 136, 184, 141, 189)
	L = (1, 100)(2, 103)(3, 97)(4, 99)(5, 109)(6, 98)(7, 102)(8, 115)(9, 116)(10, 118)(11, 120)(12, 101)(13, 108)(14, 125)(15, 126)(16, 105)(17, 128)(18, 104)(19, 114)(20, 112)(21, 106)(22, 117)(23, 107)(24, 119)(25, 138)(26, 111)(27, 129)(28, 110)(29, 124)(30, 122)(31, 113)(32, 127)(33, 139)(34, 142)(35, 140)(36, 130)(37, 134)(38, 143)(39, 141)(40, 135)(41, 121)(42, 137)(43, 123)(44, 144)(45, 136)(46, 132)(47, 133)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.740 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^3, Y3^3, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y3 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1^-1 * Y2, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1, Y1^-1 * Y2 * R * Y2^-1 * R, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 11, 59)(6, 54, 23, 71, 25, 73)(7, 55, 20, 68, 28, 76)(8, 56, 30, 78, 24, 72)(9, 57, 33, 81, 22, 70)(10, 58, 35, 83, 27, 75)(13, 61, 42, 90, 41, 89)(15, 63, 43, 91, 29, 77)(17, 65, 31, 79, 44, 92)(18, 66, 46, 94, 34, 82)(19, 67, 47, 95, 36, 84)(21, 69, 40, 88, 38, 86)(26, 74, 39, 87, 32, 80)(37, 85, 48, 96, 45, 93)(97, 145, 99, 147, 102, 150)(98, 146, 104, 152, 106, 154)(100, 148, 113, 161, 114, 162)(101, 149, 115, 163, 117, 165)(103, 151, 123, 171, 125, 173)(105, 153, 130, 178, 109, 157)(107, 155, 134, 182, 135, 183)(108, 156, 112, 160, 133, 181)(110, 158, 131, 179, 140, 188)(111, 159, 141, 189, 128, 176)(116, 164, 137, 185, 127, 175)(118, 166, 121, 169, 144, 192)(119, 167, 138, 186, 132, 180)(120, 168, 136, 184, 142, 190)(122, 170, 143, 191, 124, 172)(126, 174, 129, 177, 139, 187)
	L = (1, 100)(2, 105)(3, 109)(4, 103)(5, 116)(6, 120)(7, 97)(8, 127)(9, 107)(10, 132)(11, 98)(12, 136)(13, 111)(14, 139)(15, 99)(16, 129)(17, 126)(18, 141)(19, 114)(20, 118)(21, 110)(22, 101)(23, 113)(24, 122)(25, 135)(26, 102)(27, 144)(28, 112)(29, 138)(30, 119)(31, 128)(32, 104)(33, 124)(34, 143)(35, 130)(36, 133)(37, 106)(38, 125)(39, 140)(40, 137)(41, 108)(42, 134)(43, 117)(44, 121)(45, 115)(46, 123)(47, 131)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.741 :: Family: { 5P } :: Oriented family(ies): { E5b }
Signature :: (0; {3, 3, 3, 3})
Quotient :: dipole
Aut^+ = (C4 x C4) : C3 (small group id <48, 3>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 4
Presentation :: [ Y3^2, Y3 * R^2, Y1^3, Y2^3, Y2 * R^-1 * Y1 * R, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * R * Y1 * Y2^-1 * R * Y1^-1, (Y3 * Y1^-1)^3, (Y2 * Y1^-1)^3, (Y3 * Y2^-1)^3, Y3 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 12, 60)(4, 52, 13, 61, 15, 63)(6, 54, 20, 68, 22, 70)(7, 55, 21, 69, 24, 72)(8, 56, 25, 73, 26, 74)(9, 57, 28, 76, 30, 78)(11, 59, 32, 80, 34, 82)(14, 62, 19, 67, 41, 89)(16, 64, 42, 90, 43, 91)(17, 65, 29, 77, 45, 93)(18, 66, 35, 83, 38, 86)(23, 71, 33, 81, 37, 85)(27, 75, 48, 96, 31, 79)(36, 84, 40, 88, 46, 94)(39, 87, 47, 95, 44, 92)(97, 145, 99, 147, 102, 150)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 112, 160)(101, 149, 113, 161, 115, 163)(104, 152, 118, 166, 123, 171)(106, 154, 111, 159, 127, 175)(107, 155, 129, 177, 131, 179)(108, 156, 124, 172, 133, 181)(109, 157, 119, 167, 135, 183)(114, 162, 126, 174, 142, 190)(116, 164, 130, 178, 141, 189)(117, 165, 122, 170, 136, 184)(120, 168, 137, 185, 143, 191)(121, 169, 140, 188, 128, 176)(125, 173, 134, 182, 139, 187)(132, 180, 144, 192, 138, 186)
	L = (1, 100)(2, 104)(3, 107)(4, 97)(5, 114)(6, 117)(7, 119)(8, 98)(9, 125)(10, 115)(11, 99)(12, 132)(13, 134)(14, 136)(15, 121)(16, 129)(17, 140)(18, 101)(19, 106)(20, 133)(21, 102)(22, 139)(23, 103)(24, 138)(25, 111)(26, 131)(27, 135)(28, 143)(29, 105)(30, 127)(31, 126)(32, 142)(33, 112)(34, 137)(35, 122)(36, 108)(37, 116)(38, 109)(39, 123)(40, 110)(41, 130)(42, 120)(43, 118)(44, 113)(45, 144)(46, 128)(47, 124)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, Y2^3, Y3^4, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 13, 61)(5, 53, 7, 55)(6, 54, 17, 65)(8, 56, 20, 68)(10, 58, 24, 72)(11, 59, 25, 73)(12, 60, 27, 75)(14, 62, 29, 77)(15, 63, 22, 70)(16, 64, 32, 80)(18, 66, 33, 81)(19, 67, 35, 83)(21, 69, 37, 85)(23, 71, 40, 88)(26, 74, 39, 87)(28, 76, 36, 84)(30, 78, 38, 86)(31, 79, 34, 82)(41, 89, 47, 95)(42, 90, 48, 96)(43, 91, 45, 93)(44, 92, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 107, 155)(102, 150, 112, 160, 108, 156)(104, 152, 117, 165, 114, 162)(106, 154, 119, 167, 115, 163)(109, 157, 121, 169, 125, 173)(111, 159, 122, 170, 127, 175)(113, 161, 123, 171, 128, 176)(116, 164, 129, 177, 133, 181)(118, 166, 130, 178, 135, 183)(120, 168, 131, 179, 136, 184)(124, 172, 139, 187, 137, 185)(126, 174, 140, 188, 138, 186)(132, 180, 143, 191, 141, 189)(134, 182, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 107)(4, 111)(5, 110)(6, 97)(7, 114)(8, 118)(9, 117)(10, 98)(11, 122)(12, 99)(13, 124)(14, 127)(15, 102)(16, 101)(17, 126)(18, 130)(19, 103)(20, 132)(21, 135)(22, 106)(23, 105)(24, 134)(25, 137)(26, 108)(27, 138)(28, 113)(29, 139)(30, 109)(31, 112)(32, 140)(33, 141)(34, 115)(35, 142)(36, 120)(37, 143)(38, 116)(39, 119)(40, 144)(41, 123)(42, 121)(43, 128)(44, 125)(45, 131)(46, 129)(47, 136)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.749
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.743 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, Y3^2, Y1^3, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 10, 58, 7, 55)(4, 52, 13, 61, 8, 56)(6, 54, 16, 64, 9, 57)(11, 59, 18, 66, 23, 71)(12, 60, 19, 67, 24, 72)(14, 62, 20, 68, 28, 76)(15, 63, 21, 69, 29, 77)(17, 65, 22, 70, 32, 80)(25, 73, 38, 86, 33, 81)(26, 74, 39, 87, 34, 82)(27, 75, 40, 88, 35, 83)(30, 78, 43, 91, 36, 84)(31, 79, 44, 92, 37, 85)(41, 89, 45, 93, 47, 95)(42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 102, 150)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 121, 169, 111, 159)(101, 149, 106, 154, 119, 167, 112, 160)(104, 152, 116, 164, 129, 177, 117, 165)(108, 156, 122, 170, 113, 161, 123, 171)(109, 157, 124, 172, 134, 182, 125, 173)(115, 163, 130, 178, 118, 166, 131, 179)(120, 168, 135, 183, 128, 176, 136, 184)(126, 174, 137, 185, 127, 175, 138, 186)(132, 180, 141, 189, 133, 181, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 97)(5, 109)(6, 113)(7, 115)(8, 98)(9, 118)(10, 120)(11, 121)(12, 99)(13, 101)(14, 126)(15, 127)(16, 128)(17, 102)(18, 129)(19, 103)(20, 132)(21, 133)(22, 105)(23, 134)(24, 106)(25, 107)(26, 137)(27, 138)(28, 139)(29, 140)(30, 110)(31, 111)(32, 112)(33, 114)(34, 141)(35, 142)(36, 116)(37, 117)(38, 119)(39, 143)(40, 144)(41, 122)(42, 123)(43, 124)(44, 125)(45, 130)(46, 131)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.746
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.744 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^3, (Y2^-1, Y1^-1), (Y3 * Y1^-1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 7, 55, 12, 60)(4, 52, 13, 61, 8, 56)(6, 54, 9, 57, 16, 64)(10, 58, 18, 66, 24, 72)(11, 59, 25, 73, 19, 67)(14, 62, 28, 76, 20, 68)(15, 63, 29, 77, 21, 69)(17, 65, 32, 80, 22, 70)(23, 71, 38, 86, 33, 81)(26, 74, 39, 87, 34, 82)(27, 75, 40, 88, 35, 83)(30, 78, 36, 84, 43, 91)(31, 79, 37, 85, 44, 92)(41, 89, 45, 93, 47, 95)(42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 102, 150)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 119, 167, 111, 159)(101, 149, 108, 156, 120, 168, 112, 160)(104, 152, 116, 164, 129, 177, 117, 165)(107, 155, 122, 170, 113, 161, 123, 171)(109, 157, 124, 172, 134, 182, 125, 173)(115, 163, 130, 178, 118, 166, 131, 179)(121, 169, 135, 183, 128, 176, 136, 184)(126, 174, 137, 185, 127, 175, 138, 186)(132, 180, 141, 189, 133, 181, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 97)(5, 109)(6, 113)(7, 115)(8, 98)(9, 118)(10, 119)(11, 99)(12, 121)(13, 101)(14, 126)(15, 127)(16, 128)(17, 102)(18, 129)(19, 103)(20, 132)(21, 133)(22, 105)(23, 106)(24, 134)(25, 108)(26, 137)(27, 138)(28, 139)(29, 140)(30, 110)(31, 111)(32, 112)(33, 114)(34, 141)(35, 142)(36, 116)(37, 117)(38, 120)(39, 143)(40, 144)(41, 122)(42, 123)(43, 124)(44, 125)(45, 130)(46, 131)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.748
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.745 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^4, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 8, 56)(4, 52, 9, 57, 7, 55)(6, 54, 17, 65, 10, 58)(12, 60, 22, 70, 27, 75)(13, 61, 23, 71, 14, 62)(15, 63, 20, 68, 24, 72)(16, 64, 21, 69, 25, 73)(18, 66, 26, 74, 19, 67)(28, 76, 40, 88, 29, 77)(30, 78, 32, 80, 41, 89)(31, 79, 33, 81, 42, 90)(34, 82, 38, 86, 35, 83)(36, 84, 39, 87, 37, 85)(43, 91, 47, 95, 44, 92)(45, 93, 48, 96, 46, 94)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 118, 166, 106, 154)(100, 148, 111, 159, 124, 172, 112, 160)(101, 149, 107, 155, 123, 171, 113, 161)(103, 151, 116, 164, 125, 173, 117, 165)(105, 153, 120, 168, 136, 184, 121, 169)(109, 157, 126, 174, 114, 162, 127, 175)(110, 158, 128, 176, 115, 163, 129, 177)(119, 167, 137, 185, 122, 170, 138, 186)(130, 178, 139, 187, 132, 180, 141, 189)(131, 179, 143, 191, 133, 181, 144, 192)(134, 182, 140, 188, 135, 183, 142, 190)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 114)(7, 97)(8, 110)(9, 101)(10, 115)(11, 119)(12, 124)(13, 107)(14, 99)(15, 130)(16, 132)(17, 122)(18, 113)(19, 102)(20, 134)(21, 135)(22, 136)(23, 104)(24, 131)(25, 133)(26, 106)(27, 125)(28, 118)(29, 108)(30, 139)(31, 141)(32, 143)(33, 144)(34, 116)(35, 111)(36, 117)(37, 112)(38, 120)(39, 121)(40, 123)(41, 140)(42, 142)(43, 128)(44, 126)(45, 129)(46, 127)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.747
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.746 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, Y2^2, Y3^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-2)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 17, 65, 11, 59)(4, 52, 12, 60, 18, 66, 14, 62)(7, 55, 19, 67, 15, 63, 21, 69)(8, 56, 22, 70, 16, 64, 24, 72)(10, 58, 20, 68, 34, 82, 28, 76)(13, 61, 23, 71, 35, 83, 32, 80)(25, 73, 36, 84, 29, 77, 39, 87)(26, 74, 37, 85, 30, 78, 40, 88)(27, 75, 43, 91, 46, 94, 44, 92)(31, 79, 41, 89, 33, 81, 42, 90)(38, 86, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 113, 161)(104, 152, 119, 167)(105, 153, 121, 169)(106, 154, 123, 171)(107, 155, 125, 173)(108, 156, 127, 175)(110, 158, 129, 177)(112, 160, 128, 176)(114, 162, 131, 179)(115, 163, 132, 180)(116, 164, 134, 182)(117, 165, 135, 183)(118, 166, 137, 185)(120, 168, 138, 186)(122, 170, 139, 187)(124, 172, 141, 189)(126, 174, 140, 188)(130, 178, 142, 190)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 114)(7, 116)(8, 98)(9, 122)(10, 99)(11, 126)(12, 121)(13, 123)(14, 125)(15, 124)(16, 101)(17, 130)(18, 102)(19, 133)(20, 103)(21, 136)(22, 132)(23, 134)(24, 135)(25, 108)(26, 105)(27, 109)(28, 111)(29, 110)(30, 107)(31, 139)(32, 141)(33, 140)(34, 113)(35, 142)(36, 118)(37, 115)(38, 119)(39, 120)(40, 117)(41, 143)(42, 144)(43, 127)(44, 129)(45, 128)(46, 131)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.743
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.747 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 19>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-3 * Y2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y2 * Y1^-2)^2, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 22, 70, 13, 61)(4, 52, 15, 63, 23, 71, 16, 64)(6, 54, 20, 68, 24, 72, 21, 69)(8, 56, 25, 73, 17, 65, 27, 75)(9, 57, 29, 77, 18, 66, 30, 78)(10, 58, 31, 79, 19, 67, 32, 80)(12, 60, 28, 76, 41, 89, 36, 84)(14, 62, 26, 74, 42, 90, 40, 88)(33, 81, 43, 91, 37, 85, 46, 94)(34, 82, 45, 93, 38, 86, 48, 96)(35, 83, 44, 92, 39, 87, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 108, 156)(101, 149, 113, 161)(102, 150, 110, 158)(103, 151, 118, 166)(105, 153, 122, 170)(106, 154, 124, 172)(107, 155, 129, 177)(109, 157, 133, 181)(111, 159, 131, 179)(112, 160, 135, 183)(114, 162, 136, 184)(115, 163, 132, 180)(116, 164, 130, 178)(117, 165, 134, 182)(119, 167, 137, 185)(120, 168, 138, 186)(121, 169, 139, 187)(123, 171, 142, 190)(125, 173, 141, 189)(126, 174, 144, 192)(127, 175, 140, 188)(128, 176, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 114)(6, 97)(7, 119)(8, 122)(9, 124)(10, 98)(11, 130)(12, 102)(13, 134)(14, 99)(15, 129)(16, 133)(17, 136)(18, 132)(19, 101)(20, 131)(21, 135)(22, 137)(23, 138)(24, 103)(25, 140)(26, 106)(27, 143)(28, 104)(29, 139)(30, 142)(31, 141)(32, 144)(33, 116)(34, 111)(35, 107)(36, 113)(37, 117)(38, 112)(39, 109)(40, 115)(41, 120)(42, 118)(43, 127)(44, 125)(45, 121)(46, 128)(47, 126)(48, 123)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.745
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.748 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, 144>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, (Y3 * Y2)^3, (Y3 * Y1)^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 17, 65, 11, 59)(4, 52, 12, 60, 18, 66, 14, 62)(7, 55, 19, 67, 15, 63, 21, 69)(8, 56, 22, 70, 16, 64, 24, 72)(10, 58, 23, 71, 34, 82, 28, 76)(13, 61, 20, 68, 35, 83, 32, 80)(25, 73, 37, 85, 29, 77, 40, 88)(26, 74, 36, 84, 30, 78, 39, 87)(27, 75, 43, 91, 46, 94, 44, 92)(31, 79, 41, 89, 33, 81, 42, 90)(38, 86, 47, 95, 45, 93, 48, 96)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 109, 157)(101, 149, 111, 159)(102, 150, 113, 161)(104, 152, 119, 167)(105, 153, 121, 169)(106, 154, 123, 171)(107, 155, 125, 173)(108, 156, 122, 170)(110, 158, 126, 174)(112, 160, 124, 172)(114, 162, 131, 179)(115, 163, 132, 180)(116, 164, 134, 182)(117, 165, 135, 183)(118, 166, 133, 181)(120, 168, 136, 184)(127, 175, 139, 187)(128, 176, 141, 189)(129, 177, 140, 188)(130, 178, 142, 190)(137, 185, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 112)(6, 114)(7, 116)(8, 98)(9, 122)(10, 99)(11, 126)(12, 127)(13, 123)(14, 129)(15, 128)(16, 101)(17, 130)(18, 102)(19, 133)(20, 103)(21, 136)(22, 137)(23, 134)(24, 138)(25, 139)(26, 105)(27, 109)(28, 141)(29, 140)(30, 107)(31, 108)(32, 111)(33, 110)(34, 113)(35, 142)(36, 143)(37, 115)(38, 119)(39, 144)(40, 117)(41, 118)(42, 120)(43, 121)(44, 125)(45, 124)(46, 131)(47, 132)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.744
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
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, Y1^2 * Y3^-2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y3)^2, Y1^4, Y2^4, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y3^-1)^2, (Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y2^-1 * Y1^2 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 22, 70, 11, 59)(4, 52, 17, 65, 7, 55, 19, 67)(6, 54, 20, 68, 23, 71, 9, 57)(10, 58, 27, 75, 12, 60, 29, 77)(14, 62, 24, 72, 38, 86, 31, 79)(15, 63, 34, 82, 16, 64, 35, 83)(18, 66, 37, 85, 21, 69, 36, 84)(25, 73, 41, 89, 26, 74, 42, 90)(28, 76, 44, 92, 30, 78, 43, 91)(32, 80, 45, 93, 33, 81, 46, 94)(39, 87, 47, 95, 40, 88, 48, 96)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 120, 168, 107, 155)(100, 148, 114, 162, 128, 176, 112, 160)(101, 149, 116, 164, 127, 175, 109, 157)(103, 151, 117, 165, 129, 177, 111, 159)(104, 152, 118, 166, 134, 182, 119, 167)(106, 154, 124, 172, 135, 183, 122, 170)(108, 156, 126, 174, 136, 184, 121, 169)(113, 161, 130, 178, 141, 189, 132, 180)(115, 163, 131, 179, 142, 190, 133, 181)(123, 171, 137, 185, 143, 191, 139, 187)(125, 173, 138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 117)(7, 97)(8, 103)(9, 121)(10, 101)(11, 126)(12, 98)(13, 124)(14, 128)(15, 118)(16, 99)(17, 125)(18, 102)(19, 123)(20, 122)(21, 119)(22, 112)(23, 114)(24, 135)(25, 116)(26, 105)(27, 113)(28, 107)(29, 115)(30, 109)(31, 136)(32, 134)(33, 110)(34, 139)(35, 140)(36, 137)(37, 138)(38, 129)(39, 127)(40, 120)(41, 133)(42, 132)(43, 131)(44, 130)(45, 144)(46, 143)(47, 141)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.742
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y2 * Y3 * Y2 * Y3^-1, Y3^4, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y2^-1 * Y1)^3, Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 23, 71)(9, 57, 26, 74)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 22, 70)(15, 63, 37, 85)(16, 64, 25, 73)(18, 66, 40, 88)(24, 72, 33, 81)(27, 75, 39, 87)(29, 77, 35, 83)(30, 78, 36, 84)(31, 79, 41, 89)(32, 80, 45, 93)(34, 82, 43, 91)(38, 86, 46, 94)(42, 90, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 108, 156)(102, 150, 114, 162, 109, 157)(104, 152, 120, 168, 117, 165)(106, 154, 123, 171, 118, 166)(107, 155, 122, 170, 126, 174)(110, 158, 129, 177, 131, 179)(112, 160, 128, 176, 134, 182)(113, 161, 132, 180, 116, 164)(115, 163, 135, 183, 137, 185)(119, 167, 133, 181, 125, 173)(121, 169, 138, 186, 140, 188)(124, 172, 136, 184, 127, 175)(130, 178, 143, 191, 142, 190)(139, 187, 141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 125)(12, 128)(13, 99)(14, 130)(15, 134)(16, 102)(17, 129)(18, 101)(19, 132)(20, 131)(21, 138)(22, 103)(23, 139)(24, 140)(25, 106)(26, 133)(27, 105)(28, 126)(29, 141)(30, 119)(31, 107)(32, 109)(33, 142)(34, 115)(35, 143)(36, 110)(37, 144)(38, 114)(39, 113)(40, 122)(41, 116)(42, 118)(43, 124)(44, 123)(45, 127)(46, 135)(47, 137)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.785
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3 * Y2 * Y3^-1 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^4, R * Y2 * R * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y1)^3, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1, (Y3^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 23, 71)(9, 57, 26, 74)(10, 58, 28, 76)(12, 60, 32, 80)(13, 61, 34, 82)(15, 63, 24, 72)(16, 64, 25, 73)(18, 66, 27, 75)(21, 69, 29, 77)(22, 70, 31, 79)(30, 78, 38, 86)(33, 81, 45, 93)(35, 83, 39, 87)(36, 84, 43, 91)(37, 85, 48, 96)(40, 88, 41, 89)(42, 90, 46, 94)(44, 92, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 108, 156)(102, 150, 114, 162, 109, 157)(104, 152, 120, 168, 117, 165)(106, 154, 123, 171, 118, 166)(107, 155, 122, 170, 126, 174)(110, 158, 131, 179, 125, 173)(112, 160, 129, 177, 133, 181)(113, 161, 134, 182, 116, 164)(115, 163, 137, 185, 127, 175)(119, 167, 135, 183, 128, 176)(121, 169, 138, 186, 140, 188)(124, 172, 136, 184, 130, 178)(132, 180, 141, 189, 143, 191)(139, 187, 142, 190, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 125)(12, 129)(13, 99)(14, 132)(15, 133)(16, 102)(17, 135)(18, 101)(19, 126)(20, 128)(21, 138)(22, 103)(23, 139)(24, 140)(25, 106)(26, 131)(27, 105)(28, 134)(29, 141)(30, 110)(31, 107)(32, 142)(33, 109)(34, 116)(35, 143)(36, 115)(37, 114)(38, 119)(39, 144)(40, 113)(41, 122)(42, 118)(43, 124)(44, 123)(45, 127)(46, 130)(47, 137)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.789
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3 * Y2^-1 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, Y3^-1 * Y1 * Y3 * Y1, (Y1 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 16, 64)(6, 54, 10, 58)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 25, 73)(13, 61, 27, 75)(14, 62, 29, 77)(15, 63, 22, 70)(17, 65, 32, 80)(19, 67, 33, 81)(20, 68, 34, 82)(21, 69, 36, 84)(24, 72, 38, 86)(26, 74, 31, 79)(28, 76, 40, 88)(30, 78, 42, 90)(35, 83, 45, 93)(37, 85, 46, 94)(39, 87, 43, 91)(41, 89, 44, 92)(47, 95, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 108, 156)(102, 150, 113, 161, 109, 157)(104, 152, 117, 165, 115, 163)(106, 154, 120, 168, 116, 164)(107, 155, 119, 167, 122, 170)(111, 159, 124, 172, 126, 174)(112, 160, 127, 175, 114, 162)(118, 166, 131, 179, 133, 181)(121, 169, 135, 183, 132, 180)(123, 171, 137, 185, 134, 182)(125, 173, 129, 177, 139, 187)(128, 176, 130, 178, 140, 188)(136, 184, 142, 190, 143, 191)(138, 186, 144, 192, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 110)(6, 97)(7, 115)(8, 118)(9, 117)(10, 98)(11, 121)(12, 124)(13, 99)(14, 126)(15, 102)(16, 125)(17, 101)(18, 129)(19, 131)(20, 103)(21, 133)(22, 106)(23, 132)(24, 105)(25, 136)(26, 135)(27, 107)(28, 109)(29, 138)(30, 113)(31, 139)(32, 112)(33, 141)(34, 114)(35, 116)(36, 142)(37, 120)(38, 119)(39, 143)(40, 123)(41, 122)(42, 128)(43, 144)(44, 127)(45, 130)(46, 134)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.784
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3^4, Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2^-1, (Y3^-2 * Y1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 23, 71)(9, 57, 26, 74)(10, 58, 28, 76)(12, 60, 21, 69)(13, 61, 22, 70)(15, 63, 38, 86)(16, 64, 25, 73)(18, 66, 42, 90)(24, 72, 41, 89)(27, 75, 34, 82)(29, 77, 47, 95)(30, 78, 43, 91)(31, 79, 35, 83)(32, 80, 36, 84)(33, 81, 48, 96)(37, 85, 46, 94)(39, 87, 44, 92)(40, 88, 45, 93)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 108, 156)(102, 150, 114, 162, 109, 157)(104, 152, 120, 168, 117, 165)(106, 154, 123, 171, 118, 166)(107, 155, 125, 173, 127, 175)(110, 158, 130, 178, 132, 180)(112, 160, 129, 177, 135, 183)(113, 161, 133, 181, 136, 184)(115, 163, 137, 185, 139, 187)(116, 164, 140, 188, 131, 179)(119, 167, 138, 186, 128, 176)(121, 169, 141, 189, 143, 191)(122, 170, 142, 190, 144, 192)(124, 172, 134, 182, 126, 174)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 126)(12, 129)(13, 99)(14, 131)(15, 135)(16, 102)(17, 130)(18, 101)(19, 133)(20, 139)(21, 141)(22, 103)(23, 127)(24, 143)(25, 106)(26, 138)(27, 105)(28, 142)(29, 134)(30, 144)(31, 124)(32, 107)(33, 109)(34, 140)(35, 115)(36, 116)(37, 110)(38, 122)(39, 114)(40, 132)(41, 113)(42, 125)(43, 136)(44, 137)(45, 118)(46, 119)(47, 123)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.787
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3^-1 * Y2^-1 * Y3 * Y2^-1, (R * Y3)^2, Y3^4, R * Y2 * R * Y2^-1, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2^-1, (Y3^-2 * Y1)^2, Y1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 17, 65)(6, 54, 19, 67)(7, 55, 20, 68)(8, 56, 23, 71)(9, 57, 26, 74)(10, 58, 28, 76)(12, 60, 33, 81)(13, 61, 35, 83)(15, 63, 24, 72)(16, 64, 25, 73)(18, 66, 27, 75)(21, 69, 32, 80)(22, 70, 30, 78)(29, 77, 47, 95)(31, 79, 45, 93)(34, 82, 48, 96)(36, 84, 42, 90)(37, 85, 39, 87)(38, 86, 44, 92)(40, 88, 43, 91)(41, 89, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 108, 156)(102, 150, 114, 162, 109, 157)(104, 152, 120, 168, 117, 165)(106, 154, 123, 171, 118, 166)(107, 155, 125, 173, 127, 175)(110, 158, 132, 180, 126, 174)(112, 160, 130, 178, 134, 182)(113, 161, 135, 183, 137, 185)(115, 163, 139, 187, 128, 176)(116, 164, 140, 188, 141, 189)(119, 167, 138, 186, 131, 179)(121, 169, 142, 190, 143, 191)(122, 170, 133, 181, 144, 192)(124, 172, 136, 184, 129, 177)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 111)(6, 97)(7, 117)(8, 121)(9, 120)(10, 98)(11, 126)(12, 130)(13, 99)(14, 133)(15, 134)(16, 102)(17, 136)(18, 101)(19, 127)(20, 131)(21, 142)(22, 103)(23, 135)(24, 143)(25, 106)(26, 139)(27, 105)(28, 141)(29, 132)(30, 144)(31, 110)(32, 107)(33, 116)(34, 109)(35, 137)(36, 122)(37, 115)(38, 114)(39, 124)(40, 140)(41, 129)(42, 113)(43, 125)(44, 138)(45, 119)(46, 118)(47, 123)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.790
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.755 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y2 * Y3 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y3^-1 * Y1 * Y3 * Y1, Y3^4, (Y2 * Y1 * Y2^-1 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 8, 56)(5, 53, 16, 64)(6, 54, 10, 58)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 26, 74)(13, 61, 28, 76)(14, 62, 30, 78)(15, 63, 22, 70)(17, 65, 34, 82)(19, 67, 36, 84)(20, 68, 38, 86)(21, 69, 40, 88)(24, 72, 44, 92)(25, 73, 41, 89)(27, 75, 37, 85)(29, 77, 43, 91)(31, 79, 35, 83)(32, 80, 42, 90)(33, 81, 39, 87)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 110, 158, 108, 156)(102, 150, 113, 161, 109, 157)(104, 152, 117, 165, 115, 163)(106, 154, 120, 168, 116, 164)(107, 155, 121, 169, 123, 171)(111, 159, 125, 173, 127, 175)(112, 160, 128, 176, 129, 177)(114, 162, 131, 179, 133, 181)(118, 166, 135, 183, 137, 185)(119, 167, 138, 186, 139, 187)(122, 170, 141, 189, 140, 188)(124, 172, 142, 190, 136, 184)(126, 174, 134, 182, 143, 191)(130, 178, 132, 180, 144, 192)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 110)(6, 97)(7, 115)(8, 118)(9, 117)(10, 98)(11, 122)(12, 125)(13, 99)(14, 127)(15, 102)(16, 126)(17, 101)(18, 132)(19, 135)(20, 103)(21, 137)(22, 106)(23, 136)(24, 105)(25, 140)(26, 139)(27, 141)(28, 107)(29, 109)(30, 131)(31, 113)(32, 143)(33, 134)(34, 112)(35, 130)(36, 129)(37, 144)(38, 114)(39, 116)(40, 121)(41, 120)(42, 142)(43, 124)(44, 119)(45, 138)(46, 123)(47, 133)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.786
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.756 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3 * Y1 * Y3, (R * Y3^-1)^2, Y1 * Y2 * Y1 * Y2^-1, (R * Y1)^2, Y3 * Y2^-1 * Y3^-1 * R * Y2^-1 * R, (Y2^-1 * R * Y2 * R)^2, (Y3 * Y2^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 6, 54)(5, 53, 8, 56)(9, 57, 10, 58)(11, 59, 15, 63)(12, 60, 16, 64)(13, 61, 14, 62)(17, 65, 19, 67)(18, 66, 20, 68)(21, 69, 22, 70)(23, 71, 24, 72)(25, 73, 27, 75)(26, 74, 28, 76)(29, 77, 30, 78)(31, 79, 32, 80)(33, 81, 35, 83)(34, 82, 36, 84)(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, 99, 147, 101, 149)(98, 146, 103, 151, 104, 152)(100, 148, 107, 155, 108, 156)(102, 150, 111, 159, 112, 160)(105, 153, 113, 161, 114, 162)(106, 154, 115, 163, 116, 164)(109, 157, 121, 169, 122, 170)(110, 158, 123, 171, 124, 172)(117, 165, 129, 177, 130, 178)(118, 166, 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, 100)(2, 102)(3, 105)(4, 98)(5, 109)(6, 97)(7, 106)(8, 110)(9, 103)(10, 99)(11, 117)(12, 119)(13, 104)(14, 101)(15, 118)(16, 120)(17, 125)(18, 127)(19, 126)(20, 128)(21, 111)(22, 107)(23, 112)(24, 108)(25, 135)(26, 129)(27, 136)(28, 131)(29, 115)(30, 113)(31, 116)(32, 114)(33, 124)(34, 139)(35, 122)(36, 140)(37, 141)(38, 142)(39, 123)(40, 121)(41, 143)(42, 144)(43, 132)(44, 130)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.783
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.757 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, Y3^4, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y3 * Y1 * Y2 * Y3^-1 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y3, Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2, (Y2^-1 * Y1)^3, (Y3^-2 * Y1)^2, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 25, 73)(9, 57, 28, 76)(10, 58, 31, 79)(12, 60, 17, 65)(13, 61, 23, 71)(15, 63, 29, 77)(16, 64, 27, 75)(19, 67, 26, 74)(20, 68, 32, 80)(22, 70, 30, 78)(33, 81, 42, 90)(34, 82, 38, 86)(35, 83, 43, 91)(36, 84, 47, 95)(37, 85, 44, 92)(39, 87, 40, 88)(41, 89, 48, 96)(45, 93, 46, 94)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 122, 170, 108, 156)(106, 154, 128, 176, 109, 157)(107, 155, 124, 172, 130, 178)(110, 158, 115, 163, 129, 177)(112, 160, 132, 180, 136, 184)(114, 162, 134, 182, 120, 168)(116, 164, 131, 179, 117, 165)(121, 169, 125, 173, 138, 186)(123, 171, 137, 185, 142, 190)(126, 174, 139, 187, 127, 175)(133, 181, 144, 192, 135, 183)(140, 188, 143, 191, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 113)(8, 123)(9, 125)(10, 98)(11, 129)(12, 132)(13, 99)(14, 133)(15, 135)(16, 102)(17, 137)(18, 111)(19, 136)(20, 101)(21, 134)(22, 114)(23, 103)(24, 138)(25, 140)(26, 141)(27, 106)(28, 122)(29, 142)(30, 105)(31, 130)(32, 124)(33, 143)(34, 121)(35, 107)(36, 109)(37, 117)(38, 110)(39, 118)(40, 116)(41, 119)(42, 144)(43, 120)(44, 127)(45, 128)(46, 126)(47, 131)(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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.792
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, (R * Y1)^2, Y3^4, (R * Y3)^2, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y2 * Y3 * Y2, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, R * Y1 * Y2 * Y1 * Y2 * R * Y2, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 25, 73)(9, 57, 28, 76)(10, 58, 31, 79)(12, 60, 23, 71)(13, 61, 17, 65)(15, 63, 29, 77)(16, 64, 27, 75)(19, 67, 26, 74)(20, 68, 32, 80)(22, 70, 30, 78)(33, 81, 47, 95)(34, 82, 44, 92)(35, 83, 38, 86)(36, 84, 45, 93)(37, 85, 48, 96)(39, 87, 46, 94)(40, 88, 41, 89)(42, 90, 43, 91)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 122, 170, 109, 157)(106, 154, 128, 176, 108, 156)(107, 155, 129, 177, 131, 179)(110, 158, 116, 164, 130, 178)(112, 160, 133, 181, 137, 185)(114, 162, 135, 183, 139, 187)(115, 163, 132, 180, 117, 165)(120, 168, 136, 184, 134, 182)(121, 169, 126, 174, 140, 188)(123, 171, 138, 186, 143, 191)(124, 172, 142, 190, 144, 192)(125, 173, 141, 189, 127, 175)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 119)(8, 123)(9, 125)(10, 98)(11, 130)(12, 133)(13, 99)(14, 134)(15, 114)(16, 102)(17, 103)(18, 118)(19, 137)(20, 101)(21, 135)(22, 136)(23, 138)(24, 140)(25, 131)(26, 124)(27, 106)(28, 128)(29, 143)(30, 105)(31, 142)(32, 129)(33, 122)(34, 144)(35, 127)(36, 107)(37, 109)(38, 117)(39, 110)(40, 111)(41, 116)(42, 113)(43, 141)(44, 139)(45, 120)(46, 121)(47, 126)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.793
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, Y3^4, (R * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1, Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3, (Y2 * Y1)^3, Y3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 27, 75)(9, 57, 30, 78)(10, 58, 32, 80)(12, 60, 25, 73)(13, 61, 26, 74)(15, 63, 37, 85)(16, 64, 28, 76)(17, 65, 29, 77)(19, 67, 38, 86)(20, 68, 22, 70)(23, 71, 34, 82)(31, 79, 33, 81)(35, 83, 40, 88)(36, 84, 44, 92)(39, 87, 48, 96)(41, 89, 46, 94)(42, 90, 47, 95)(43, 91, 45, 93)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 115, 163, 125, 173)(106, 154, 129, 177, 130, 178)(107, 155, 126, 174, 131, 179)(108, 156, 123, 171, 133, 181)(109, 157, 117, 165, 127, 175)(110, 158, 134, 182, 121, 169)(112, 160, 138, 186, 139, 187)(114, 162, 136, 184, 120, 168)(116, 164, 122, 170, 128, 176)(124, 172, 132, 180, 142, 190)(135, 183, 140, 188, 141, 189)(137, 185, 144, 192, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 121)(8, 124)(9, 111)(10, 98)(11, 113)(12, 132)(13, 99)(14, 135)(15, 137)(16, 102)(17, 140)(18, 133)(19, 141)(20, 101)(21, 136)(22, 126)(23, 120)(24, 125)(25, 138)(26, 103)(27, 144)(28, 106)(29, 143)(30, 134)(31, 105)(32, 131)(33, 114)(34, 107)(35, 123)(36, 109)(37, 139)(38, 142)(39, 117)(40, 110)(41, 127)(42, 122)(43, 129)(44, 130)(45, 116)(46, 118)(47, 119)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.788
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.760 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2 * Y1 * Y2^-1 * Y3^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1, R * Y2 * R * Y2 * Y3^-1 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 14, 62)(5, 53, 18, 66)(6, 54, 21, 69)(7, 55, 24, 72)(8, 56, 26, 74)(9, 57, 29, 77)(10, 58, 30, 78)(12, 60, 25, 73)(13, 61, 17, 65)(15, 63, 22, 70)(16, 64, 28, 76)(19, 67, 37, 85)(20, 68, 36, 84)(23, 71, 32, 80)(27, 75, 31, 79)(33, 81, 41, 89)(34, 82, 43, 91)(35, 83, 48, 96)(38, 86, 46, 94)(39, 87, 47, 95)(40, 88, 45, 93)(42, 90, 44, 92)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 111, 159, 113, 161)(102, 150, 118, 166, 119, 167)(104, 152, 123, 171, 109, 157)(106, 154, 127, 175, 128, 176)(107, 155, 129, 177, 112, 160)(108, 156, 122, 170, 132, 180)(110, 158, 133, 181, 121, 169)(114, 162, 135, 183, 131, 179)(115, 163, 139, 187, 117, 165)(116, 164, 130, 178, 126, 174)(120, 168, 141, 189, 124, 172)(125, 173, 143, 191, 138, 186)(134, 182, 144, 192, 137, 185)(136, 184, 142, 190, 140, 188)
	L = (1, 100)(2, 104)(3, 108)(4, 112)(5, 115)(6, 97)(7, 121)(8, 124)(9, 116)(10, 98)(11, 130)(12, 131)(13, 99)(14, 134)(15, 136)(16, 102)(17, 103)(18, 118)(19, 105)(20, 101)(21, 135)(22, 125)(23, 120)(24, 139)(25, 138)(26, 142)(27, 137)(28, 106)(29, 127)(30, 143)(31, 114)(32, 107)(33, 133)(34, 144)(35, 109)(36, 129)(37, 141)(38, 117)(39, 110)(40, 123)(41, 111)(42, 113)(43, 140)(44, 119)(45, 132)(46, 126)(47, 122)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.791
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.761 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^3, Y3^3, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y2, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2 * Y3 * Y1^2 * Y2^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 18, 66)(6, 54, 23, 71, 25, 73)(7, 55, 26, 74, 9, 57)(8, 56, 27, 75, 29, 77)(10, 58, 32, 80, 33, 81)(11, 59, 34, 82, 21, 69)(13, 61, 28, 76, 37, 85)(14, 62, 39, 87, 20, 68)(16, 64, 41, 89, 30, 78)(19, 67, 42, 90, 31, 79)(22, 70, 24, 72, 43, 91)(35, 83, 47, 95, 48, 96)(36, 84, 44, 92, 40, 88)(38, 86, 46, 94, 45, 93)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 112, 160, 132, 180, 115, 163)(101, 149, 116, 164, 133, 181, 118, 166)(103, 151, 110, 158, 134, 182, 120, 168)(105, 153, 126, 174, 141, 189, 127, 175)(107, 155, 108, 156, 131, 179, 119, 167)(111, 159, 136, 184, 121, 169, 114, 162)(113, 161, 123, 171, 140, 188, 128, 176)(117, 165, 137, 185, 144, 192, 138, 186)(122, 170, 125, 173, 142, 190, 129, 177)(130, 178, 135, 183, 143, 191, 139, 187)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 117)(6, 120)(7, 97)(8, 108)(9, 107)(10, 119)(11, 98)(12, 126)(13, 132)(14, 112)(15, 125)(16, 99)(17, 101)(18, 130)(19, 102)(20, 123)(21, 113)(22, 128)(23, 127)(24, 115)(25, 129)(26, 114)(27, 137)(28, 141)(29, 135)(30, 104)(31, 106)(32, 138)(33, 139)(34, 122)(35, 124)(36, 134)(37, 144)(38, 109)(39, 111)(40, 143)(41, 116)(42, 118)(43, 121)(44, 133)(45, 131)(46, 136)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.775
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.762 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^3, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1, Y1^-1 * R * Y2 * R * Y2, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 18, 66)(6, 54, 21, 69, 10, 58)(7, 55, 24, 72, 9, 57)(11, 59, 32, 80, 20, 68)(13, 61, 27, 75, 35, 83)(14, 62, 28, 76, 33, 81)(15, 63, 25, 73, 29, 77)(17, 65, 36, 84, 41, 89)(19, 67, 43, 91, 42, 90)(22, 70, 31, 79, 34, 82)(23, 71, 26, 74, 30, 78)(37, 85, 47, 95, 48, 96)(38, 86, 40, 88, 44, 92)(39, 87, 45, 93, 46, 94)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 113, 161, 133, 181, 115, 163)(101, 149, 108, 156, 131, 179, 117, 165)(103, 151, 121, 169, 134, 182, 122, 170)(105, 153, 125, 173, 140, 188, 126, 174)(107, 155, 129, 177, 141, 189, 130, 178)(110, 158, 135, 183, 118, 166, 116, 164)(111, 159, 136, 184, 119, 167, 120, 168)(112, 160, 137, 185, 143, 191, 138, 186)(114, 162, 132, 180, 144, 192, 139, 187)(124, 172, 142, 190, 127, 175, 128, 176)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 116)(6, 118)(7, 97)(8, 113)(9, 107)(10, 115)(11, 98)(12, 125)(13, 133)(14, 111)(15, 99)(16, 101)(17, 124)(18, 128)(19, 127)(20, 112)(21, 126)(22, 119)(23, 102)(24, 114)(25, 129)(26, 130)(27, 140)(28, 104)(29, 132)(30, 139)(31, 106)(32, 120)(33, 137)(34, 138)(35, 135)(36, 108)(37, 134)(38, 109)(39, 143)(40, 144)(41, 121)(42, 122)(43, 117)(44, 141)(45, 123)(46, 136)(47, 131)(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, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.778
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^3, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-2 * Y2^2 * Y3^-1, R * Y2 * Y3 * R * Y2^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, (Y3^2 * Y1^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 19, 67)(6, 54, 24, 72, 26, 74)(7, 55, 27, 75, 9, 57)(8, 56, 29, 77, 31, 79)(10, 58, 35, 83, 36, 84)(11, 59, 37, 85, 22, 70)(13, 61, 30, 78, 39, 87)(14, 62, 40, 88, 23, 71)(16, 64, 42, 90, 32, 80)(18, 66, 44, 92, 38, 86)(20, 68, 46, 94, 34, 82)(21, 69, 25, 73, 47, 95)(28, 76, 48, 96, 41, 89)(33, 81, 45, 93, 43, 91)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 126, 174, 106, 154)(100, 148, 112, 160, 124, 172, 116, 164)(101, 149, 117, 165, 135, 183, 119, 167)(103, 151, 110, 158, 114, 162, 121, 169)(105, 153, 128, 176, 134, 182, 130, 178)(107, 155, 120, 168, 129, 177, 108, 156)(111, 159, 115, 163, 122, 170, 137, 185)(113, 161, 131, 179, 144, 192, 125, 173)(118, 166, 138, 186, 139, 187, 142, 190)(123, 171, 132, 180, 140, 188, 127, 175)(133, 181, 136, 184, 141, 189, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 118)(6, 121)(7, 97)(8, 120)(9, 129)(10, 108)(11, 98)(12, 128)(13, 124)(14, 116)(15, 132)(16, 99)(17, 101)(18, 109)(19, 141)(20, 102)(21, 131)(22, 144)(23, 125)(24, 130)(25, 112)(26, 127)(27, 137)(28, 103)(29, 138)(30, 134)(31, 136)(32, 104)(33, 126)(34, 106)(35, 142)(36, 143)(37, 140)(38, 107)(39, 139)(40, 111)(41, 133)(42, 117)(43, 113)(44, 115)(45, 123)(46, 119)(47, 122)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.779
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^3, Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y1^-1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3, Y2^-1 * Y3^3 * Y2^-1, R * Y2 * Y1^-1 * R * Y2, Y1^-1 * Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, (Y3^2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 8, 56)(4, 52, 16, 64, 19, 67)(6, 54, 22, 70, 10, 58)(7, 55, 25, 73, 9, 57)(11, 59, 35, 83, 21, 69)(13, 61, 29, 77, 39, 87)(14, 62, 30, 78, 36, 84)(15, 63, 26, 74, 31, 79)(17, 65, 40, 88, 43, 91)(18, 66, 42, 90, 38, 86)(20, 68, 46, 94, 44, 92)(23, 71, 34, 82, 37, 85)(24, 72, 27, 75, 33, 81)(28, 76, 47, 95, 48, 96)(32, 80, 45, 93, 41, 89)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 125, 173, 106, 154)(100, 148, 113, 161, 124, 172, 116, 164)(101, 149, 108, 156, 135, 183, 118, 166)(103, 151, 122, 170, 114, 162, 123, 171)(105, 153, 127, 175, 134, 182, 129, 177)(107, 155, 132, 180, 128, 176, 133, 181)(110, 158, 137, 185, 119, 167, 117, 165)(111, 159, 138, 186, 120, 168, 121, 169)(112, 160, 139, 187, 143, 191, 140, 188)(115, 163, 136, 184, 144, 192, 142, 190)(126, 174, 141, 189, 130, 178, 131, 179)
	L = (1, 100)(2, 105)(3, 110)(4, 114)(5, 117)(6, 119)(7, 97)(8, 113)(9, 128)(10, 116)(11, 98)(12, 127)(13, 124)(14, 120)(15, 99)(16, 101)(17, 130)(18, 109)(19, 141)(20, 126)(21, 143)(22, 129)(23, 111)(24, 102)(25, 144)(26, 133)(27, 132)(28, 103)(29, 134)(30, 104)(31, 142)(32, 125)(33, 136)(34, 106)(35, 138)(36, 140)(37, 139)(38, 107)(39, 137)(40, 108)(41, 112)(42, 115)(43, 123)(44, 122)(45, 121)(46, 118)(47, 135)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.782
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.765 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1 * Y3^-2, Y1^3, Y2^-2 * Y1 * Y3, (R * Y1)^2, Y3 * Y1 * Y2^2, Y2^-2 * Y3^-1 * Y1^-1, Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 14, 62, 12, 60)(8, 56, 17, 65, 19, 67)(10, 58, 20, 68, 18, 66)(15, 63, 25, 73, 27, 75)(16, 64, 28, 76, 26, 74)(21, 69, 33, 81, 35, 83)(22, 70, 36, 84, 34, 82)(23, 71, 37, 85, 30, 78)(24, 72, 38, 86, 29, 77)(31, 79, 41, 89, 39, 87)(32, 80, 42, 90, 40, 88)(43, 91, 47, 95, 45, 93)(44, 92, 48, 96, 46, 94)(97, 145, 99, 147, 105, 153, 102, 150)(98, 146, 104, 152, 103, 151, 106, 154)(100, 148, 111, 159, 101, 149, 112, 160)(107, 155, 117, 165, 110, 158, 118, 166)(108, 156, 119, 167, 109, 157, 120, 168)(113, 161, 125, 173, 116, 164, 126, 174)(114, 162, 127, 175, 115, 163, 128, 176)(121, 169, 135, 183, 124, 172, 136, 184)(122, 170, 129, 177, 123, 171, 132, 180)(130, 178, 139, 187, 131, 179, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 98)(5, 103)(6, 109)(7, 97)(8, 114)(9, 101)(10, 115)(11, 102)(12, 107)(13, 110)(14, 99)(15, 122)(16, 123)(17, 106)(18, 113)(19, 116)(20, 104)(21, 130)(22, 131)(23, 125)(24, 126)(25, 112)(26, 121)(27, 124)(28, 111)(29, 133)(30, 134)(31, 136)(32, 135)(33, 118)(34, 129)(35, 132)(36, 117)(37, 120)(38, 119)(39, 138)(40, 137)(41, 128)(42, 127)(43, 142)(44, 141)(45, 144)(46, 143)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.773
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.766 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^3, Y1^3, (Y3 * Y1)^2, Y2^-1 * Y3 * Y2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3 * Y1)^2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 18, 66)(6, 54, 23, 71, 24, 72)(7, 55, 25, 73, 9, 57)(8, 56, 27, 75, 16, 64)(10, 58, 32, 80, 19, 67)(11, 59, 33, 81, 21, 69)(13, 61, 37, 85, 39, 87)(14, 62, 41, 89, 29, 77)(20, 68, 36, 84, 30, 78)(22, 70, 44, 92, 31, 79)(26, 74, 43, 91, 34, 82)(28, 76, 38, 86, 48, 96)(35, 83, 46, 94, 40, 88)(42, 90, 45, 93, 47, 95)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 108, 156, 131, 179, 115, 163)(101, 149, 116, 164, 141, 189, 118, 166)(103, 151, 111, 159, 138, 186, 122, 170)(105, 153, 123, 171, 142, 190, 127, 175)(107, 155, 112, 160, 135, 183, 130, 178)(110, 158, 133, 181, 140, 188, 114, 162)(113, 161, 126, 174, 144, 192, 139, 187)(117, 165, 132, 180, 136, 184, 120, 168)(119, 167, 121, 169, 125, 173, 134, 182)(128, 176, 129, 177, 137, 185, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 103)(5, 117)(6, 106)(7, 97)(8, 125)(9, 107)(10, 118)(11, 98)(12, 123)(13, 134)(14, 112)(15, 116)(16, 99)(17, 101)(18, 129)(19, 139)(20, 137)(21, 113)(22, 102)(23, 127)(24, 130)(25, 114)(26, 119)(27, 132)(28, 143)(29, 126)(30, 104)(31, 122)(32, 120)(33, 121)(34, 128)(35, 124)(36, 108)(37, 142)(38, 136)(39, 138)(40, 109)(41, 111)(42, 144)(43, 140)(44, 115)(45, 133)(46, 141)(47, 131)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.777
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.767 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^3, Y1^3, (Y3 * Y1)^2, Y1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 18, 66)(6, 54, 19, 67, 23, 71)(7, 55, 25, 73, 9, 57)(8, 56, 27, 75, 17, 65)(10, 58, 30, 78, 24, 72)(11, 59, 33, 81, 20, 68)(13, 61, 36, 84, 37, 85)(15, 63, 39, 87, 29, 77)(21, 69, 43, 91, 32, 80)(22, 70, 44, 92, 31, 79)(26, 74, 41, 89, 34, 82)(28, 76, 35, 83, 47, 95)(38, 86, 42, 90, 48, 96)(40, 88, 46, 94, 45, 93)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 124, 172, 106, 154)(100, 148, 113, 161, 138, 186, 115, 163)(101, 149, 111, 159, 136, 184, 117, 165)(103, 151, 122, 170, 141, 189, 119, 167)(105, 153, 125, 173, 144, 192, 126, 174)(107, 155, 130, 178, 133, 181, 120, 168)(108, 156, 131, 179, 127, 175, 121, 169)(110, 158, 134, 182, 139, 187, 116, 164)(112, 160, 137, 185, 143, 191, 128, 176)(114, 162, 135, 183, 132, 180, 118, 166)(123, 171, 142, 190, 140, 188, 129, 177)
	L = (1, 100)(2, 105)(3, 104)(4, 103)(5, 116)(6, 118)(7, 97)(8, 111)(9, 107)(10, 127)(11, 98)(12, 125)(13, 131)(14, 130)(15, 99)(16, 101)(17, 137)(18, 129)(19, 126)(20, 112)(21, 140)(22, 120)(23, 117)(24, 102)(25, 114)(26, 108)(27, 110)(28, 142)(29, 122)(30, 139)(31, 128)(32, 106)(33, 121)(34, 123)(35, 134)(36, 144)(37, 141)(38, 109)(39, 113)(40, 132)(41, 135)(42, 124)(43, 115)(44, 119)(45, 143)(46, 138)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.776
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-2 * Y1, Y1^3, Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1^-1 * Y2 * Y3, Y3^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 13, 61)(4, 52, 9, 57, 7, 55)(6, 54, 15, 63, 20, 68)(8, 56, 22, 70, 16, 64)(10, 58, 25, 73, 14, 62)(12, 60, 29, 77, 30, 78)(17, 65, 19, 67, 26, 74)(18, 66, 21, 69, 24, 72)(23, 71, 27, 75, 40, 88)(28, 76, 42, 90, 31, 79)(32, 80, 33, 81, 39, 87)(34, 82, 41, 89, 36, 84)(35, 83, 38, 86, 37, 85)(43, 91, 44, 92, 47, 95)(45, 93, 46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 130, 178, 112, 160)(101, 149, 113, 161, 131, 179, 114, 162)(103, 151, 117, 165, 128, 176, 109, 157)(105, 153, 121, 169, 138, 186, 122, 170)(107, 155, 123, 171, 139, 187, 124, 172)(110, 158, 129, 177, 141, 189, 126, 174)(115, 163, 125, 173, 140, 188, 132, 180)(116, 164, 127, 175, 142, 190, 133, 181)(118, 166, 134, 182, 143, 191, 135, 183)(120, 168, 137, 185, 144, 192, 136, 184)
	L = (1, 100)(2, 105)(3, 106)(4, 98)(5, 103)(6, 115)(7, 97)(8, 114)(9, 101)(10, 107)(11, 121)(12, 124)(13, 110)(14, 99)(15, 122)(16, 120)(17, 102)(18, 118)(19, 111)(20, 113)(21, 112)(22, 117)(23, 135)(24, 104)(25, 109)(26, 116)(27, 128)(28, 125)(29, 138)(30, 127)(31, 108)(32, 136)(33, 119)(34, 133)(35, 132)(36, 134)(37, 137)(38, 130)(39, 123)(40, 129)(41, 131)(42, 126)(43, 144)(44, 141)(45, 143)(46, 139)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.774
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^3, Y1^3, (Y1 * Y3)^2, Y2^2 * Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2^-1 * Y1 * Y3^-1 * Y2 * Y3, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y1, Y3^6, (Y3^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 19, 67)(6, 54, 15, 63, 23, 71)(7, 55, 24, 72, 9, 57)(8, 56, 28, 76, 30, 78)(10, 58, 31, 79, 33, 81)(11, 59, 34, 82, 21, 69)(13, 61, 38, 86, 29, 77)(17, 65, 25, 73, 42, 90)(18, 66, 39, 87, 36, 84)(20, 68, 22, 70, 45, 93)(26, 74, 40, 88, 35, 83)(27, 75, 46, 94, 48, 96)(32, 80, 44, 92, 41, 89)(37, 85, 43, 91, 47, 95)(97, 145, 99, 147, 105, 153, 102, 150)(98, 146, 104, 152, 117, 165, 106, 154)(100, 148, 113, 161, 101, 149, 116, 164)(103, 151, 121, 169, 144, 192, 122, 170)(107, 155, 111, 159, 135, 183, 131, 179)(108, 156, 133, 181, 129, 177, 123, 171)(109, 157, 114, 162, 110, 158, 115, 163)(112, 160, 127, 175, 140, 188, 136, 184)(118, 166, 143, 191, 119, 167, 137, 185)(120, 168, 125, 173, 128, 176, 126, 174)(124, 172, 139, 187, 138, 186, 132, 180)(130, 178, 134, 182, 142, 190, 141, 189)
	L = (1, 100)(2, 105)(3, 109)(4, 114)(5, 117)(6, 118)(7, 97)(8, 125)(9, 128)(10, 108)(11, 98)(12, 102)(13, 126)(14, 129)(15, 99)(16, 101)(17, 124)(18, 139)(19, 140)(20, 134)(21, 142)(22, 113)(23, 131)(24, 144)(25, 116)(26, 111)(27, 103)(28, 106)(29, 141)(30, 138)(31, 104)(32, 143)(33, 136)(34, 135)(35, 127)(36, 107)(37, 137)(38, 110)(39, 115)(40, 121)(41, 112)(42, 122)(43, 123)(44, 120)(45, 119)(46, 133)(47, 132)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.781
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.770 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1 * Y3^-2, Y1^3, Y2^-1 * Y1^-1 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2 * Y3^-1, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2^-3 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 14, 62)(4, 52, 9, 57, 7, 55)(6, 54, 18, 66, 19, 67)(8, 56, 22, 70, 20, 68)(10, 58, 25, 73, 16, 64)(12, 60, 28, 76, 30, 78)(13, 61, 24, 72, 15, 63)(17, 65, 21, 69, 26, 74)(23, 71, 35, 83, 40, 88)(27, 75, 42, 90, 32, 80)(29, 77, 38, 86, 31, 79)(33, 81, 34, 82, 41, 89)(36, 84, 37, 85, 39, 87)(43, 91, 47, 95, 44, 92)(45, 93, 46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 112, 160, 123, 171, 107, 155)(101, 149, 113, 161, 130, 178, 111, 159)(103, 151, 115, 163, 132, 180, 117, 165)(105, 153, 120, 168, 134, 182, 118, 166)(109, 157, 128, 176, 139, 187, 124, 172)(110, 158, 129, 177, 142, 190, 127, 175)(114, 162, 125, 173, 140, 188, 131, 179)(116, 164, 126, 174, 141, 189, 133, 181)(121, 169, 135, 183, 143, 191, 137, 185)(122, 170, 136, 184, 144, 192, 138, 186)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 104)(7, 97)(8, 114)(9, 101)(10, 113)(11, 120)(12, 125)(13, 107)(14, 111)(15, 99)(16, 122)(17, 121)(18, 118)(19, 116)(20, 102)(21, 112)(22, 115)(23, 135)(24, 110)(25, 117)(26, 106)(27, 129)(28, 134)(29, 124)(30, 127)(31, 108)(32, 137)(33, 138)(34, 128)(35, 132)(36, 136)(37, 119)(38, 126)(39, 131)(40, 133)(41, 123)(42, 130)(43, 141)(44, 144)(45, 143)(46, 140)(47, 142)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.772
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.771 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^3, (Y3^-1 * Y1^-1)^2, Y2^4, Y3^-1 * Y1^-1 * Y2^2, Y2^-1 * Y3^-1 * Y1^-1 * Y2^-1, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2^-1 * Y3^-2 * Y2^-1 * Y3, (R * Y2 * Y3^-1)^2, Y3^6, Y2^-1 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, (Y3^2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 14, 62)(4, 52, 16, 64, 19, 67)(6, 54, 15, 63, 23, 71)(7, 55, 24, 72, 9, 57)(8, 56, 28, 76, 29, 77)(10, 58, 30, 78, 33, 81)(11, 59, 34, 82, 21, 69)(13, 61, 38, 86, 17, 65)(18, 66, 37, 85, 36, 84)(20, 68, 26, 74, 46, 94)(22, 70, 43, 91, 32, 80)(25, 73, 42, 90, 35, 83)(27, 75, 47, 95, 48, 96)(31, 79, 45, 93, 39, 87)(40, 88, 41, 89, 44, 92)(97, 145, 99, 147, 105, 153, 102, 150)(98, 146, 104, 152, 117, 165, 106, 154)(100, 148, 113, 161, 101, 149, 116, 164)(103, 151, 121, 169, 144, 192, 122, 170)(107, 155, 131, 179, 133, 181, 108, 156)(109, 157, 135, 183, 110, 158, 136, 184)(111, 159, 123, 171, 125, 173, 137, 185)(112, 160, 138, 186, 141, 189, 124, 172)(114, 162, 118, 166, 115, 163, 119, 167)(120, 168, 129, 177, 127, 175, 128, 176)(126, 174, 132, 180, 142, 190, 140, 188)(130, 178, 134, 182, 143, 191, 139, 187)
	L = (1, 100)(2, 105)(3, 109)(4, 114)(5, 117)(6, 118)(7, 97)(8, 111)(9, 127)(10, 128)(11, 98)(12, 102)(13, 116)(14, 131)(15, 99)(16, 101)(17, 139)(18, 140)(19, 141)(20, 126)(21, 143)(22, 129)(23, 125)(24, 144)(25, 108)(26, 113)(27, 103)(28, 106)(29, 138)(30, 104)(31, 136)(32, 134)(33, 142)(34, 133)(35, 124)(36, 107)(37, 115)(38, 110)(39, 112)(40, 132)(41, 135)(42, 122)(43, 119)(44, 123)(45, 120)(46, 121)(47, 137)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.780
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.772 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y1 * Y2 * Y1, Y3^-3 * Y2, Y3^-1 * Y2 * Y3 * Y2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 3, 51, 5, 53)(4, 52, 11, 59, 9, 57, 12, 60)(6, 54, 15, 63, 10, 58, 16, 64)(7, 55, 17, 65, 13, 61, 18, 66)(8, 56, 19, 67, 14, 62, 20, 68)(21, 69, 34, 82, 23, 71, 36, 84)(22, 70, 37, 85, 24, 72, 38, 86)(25, 73, 39, 87, 27, 75, 40, 88)(26, 74, 29, 77, 28, 76, 31, 79)(30, 78, 41, 89, 32, 80, 42, 90)(33, 81, 43, 91, 35, 83, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 105, 153)(102, 150, 106, 154)(103, 151, 109, 157)(104, 152, 110, 158)(107, 155, 108, 156)(111, 159, 112, 160)(113, 161, 114, 162)(115, 163, 116, 164)(117, 165, 119, 167)(118, 166, 120, 168)(121, 169, 123, 171)(122, 170, 124, 172)(125, 173, 127, 175)(126, 174, 128, 176)(129, 177, 131, 179)(130, 178, 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, 100)(2, 103)(3, 105)(4, 106)(5, 109)(6, 97)(7, 110)(8, 98)(9, 102)(10, 99)(11, 117)(12, 119)(13, 104)(14, 101)(15, 121)(16, 123)(17, 125)(18, 127)(19, 129)(20, 131)(21, 120)(22, 107)(23, 118)(24, 108)(25, 124)(26, 111)(27, 122)(28, 112)(29, 128)(30, 113)(31, 126)(32, 114)(33, 132)(34, 115)(35, 130)(36, 116)(37, 141)(38, 142)(39, 134)(40, 133)(41, 143)(42, 144)(43, 138)(44, 137)(45, 135)(46, 136)(47, 139)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.770
Graph:: bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.773 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^-3 * Y2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y1^4, Y1^-1 * Y2 * Y1 * Y2, Y1 * Y3^-2 * Y1 * Y3, (Y3 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 20, 68, 12, 60)(4, 52, 14, 62, 30, 78, 15, 63)(6, 54, 18, 66, 35, 83, 19, 67)(9, 57, 13, 61, 29, 77, 24, 72)(10, 58, 25, 73, 41, 89, 26, 74)(11, 59, 17, 65, 34, 82, 27, 75)(16, 64, 32, 80, 46, 94, 33, 81)(21, 69, 23, 71, 39, 87, 37, 85)(22, 70, 38, 86, 43, 91, 28, 76)(31, 79, 45, 93, 47, 95, 42, 90)(36, 84, 44, 92, 48, 96, 40, 88)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 116, 164)(105, 153, 115, 163)(106, 154, 119, 167)(110, 158, 113, 161)(111, 159, 123, 171)(112, 160, 124, 172)(114, 162, 125, 173)(117, 165, 122, 170)(118, 166, 128, 176)(120, 168, 131, 179)(121, 169, 135, 183)(126, 174, 130, 178)(127, 175, 132, 180)(129, 177, 139, 187)(133, 181, 137, 185)(134, 182, 142, 190)(136, 184, 138, 186)(140, 188, 141, 189)(143, 191, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 117)(8, 115)(9, 119)(10, 98)(11, 102)(12, 124)(13, 99)(14, 108)(15, 127)(16, 110)(17, 101)(18, 111)(19, 106)(20, 122)(21, 128)(22, 103)(23, 104)(24, 136)(25, 120)(26, 118)(27, 132)(28, 113)(29, 123)(30, 139)(31, 125)(32, 116)(33, 140)(34, 129)(35, 138)(36, 114)(37, 143)(38, 133)(39, 131)(40, 135)(41, 144)(42, 121)(43, 141)(44, 126)(45, 130)(46, 137)(47, 142)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.765
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.774 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^-1 * Y2 * Y3 * Y2, Y3^-3 * Y2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y1^4, Y1^-1 * Y2 * Y1 * Y2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 20, 68, 12, 60)(4, 52, 14, 62, 30, 78, 15, 63)(6, 54, 18, 66, 35, 83, 19, 67)(9, 57, 24, 72, 40, 88, 25, 73)(10, 58, 11, 59, 27, 75, 26, 74)(13, 61, 16, 64, 32, 80, 29, 77)(17, 65, 33, 81, 46, 94, 34, 82)(21, 69, 37, 85, 43, 91, 28, 76)(22, 70, 23, 71, 39, 87, 38, 86)(31, 79, 44, 92, 47, 95, 42, 90)(36, 84, 45, 93, 48, 96, 41, 89)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 111, 159)(110, 158, 123, 171)(112, 160, 114, 162)(113, 161, 124, 172)(115, 163, 125, 173)(117, 165, 129, 177)(118, 166, 121, 169)(120, 168, 135, 183)(122, 170, 126, 174)(127, 175, 132, 180)(128, 176, 131, 179)(130, 178, 139, 187)(133, 181, 142, 190)(134, 182, 136, 184)(137, 185, 138, 186)(140, 188, 141, 189)(143, 191, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 112)(6, 97)(7, 117)(8, 119)(9, 111)(10, 98)(11, 102)(12, 114)(13, 99)(14, 127)(15, 104)(16, 124)(17, 101)(18, 113)(19, 110)(20, 129)(21, 121)(22, 103)(23, 106)(24, 137)(25, 116)(26, 120)(27, 132)(28, 108)(29, 123)(30, 135)(31, 125)(32, 141)(33, 118)(34, 128)(35, 140)(36, 115)(37, 143)(38, 133)(39, 138)(40, 142)(41, 126)(42, 122)(43, 131)(44, 130)(45, 139)(46, 144)(47, 136)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.768
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.775 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^3, Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y3, (Y2 * Y3^-1)^3, Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, (Y2 * Y1^-2)^2, (Y3 * Y2)^3, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 20, 68, 13, 61)(4, 52, 10, 58, 21, 69, 16, 64)(6, 54, 9, 57, 22, 70, 18, 66)(8, 56, 23, 71, 17, 65, 25, 73)(12, 60, 30, 78, 42, 90, 32, 80)(14, 62, 27, 75, 43, 91, 34, 82)(15, 63, 26, 74, 44, 92, 36, 84)(19, 67, 39, 87, 45, 93, 41, 89)(24, 72, 47, 95, 38, 86, 35, 83)(28, 76, 48, 96, 37, 85, 31, 79)(29, 77, 46, 94, 33, 81, 40, 88)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 113, 161)(102, 150, 115, 163)(103, 151, 116, 164)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 125, 173)(108, 156, 127, 175)(109, 157, 129, 177)(110, 158, 131, 179)(112, 160, 133, 181)(114, 162, 130, 178)(117, 165, 140, 188)(118, 166, 141, 189)(119, 167, 142, 190)(120, 168, 135, 183)(121, 169, 136, 184)(122, 170, 126, 174)(128, 176, 132, 180)(134, 182, 137, 185)(138, 186, 144, 192)(139, 187, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 114)(6, 97)(7, 117)(8, 120)(9, 106)(10, 98)(11, 123)(12, 110)(13, 130)(14, 99)(15, 131)(16, 101)(17, 134)(18, 112)(19, 136)(20, 138)(21, 118)(22, 103)(23, 140)(24, 122)(25, 111)(26, 104)(27, 126)(28, 125)(29, 135)(30, 107)(31, 115)(32, 109)(33, 137)(34, 128)(35, 121)(36, 113)(37, 129)(38, 132)(39, 124)(40, 127)(41, 133)(42, 139)(43, 116)(44, 143)(45, 142)(46, 144)(47, 119)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.761
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.776 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * R * Y2)^2, (Y3 * Y2)^3, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 24, 72, 13, 61)(4, 52, 15, 63, 25, 73, 17, 65)(6, 54, 21, 69, 26, 74, 23, 71)(8, 56, 27, 75, 18, 66, 29, 77)(9, 57, 30, 78, 19, 67, 14, 62)(10, 58, 31, 79, 20, 68, 16, 64)(12, 60, 32, 80, 42, 90, 36, 84)(22, 70, 28, 76, 43, 91, 40, 88)(33, 81, 44, 92, 37, 85, 41, 89)(34, 82, 47, 95, 38, 86, 35, 83)(39, 87, 46, 94, 45, 93, 48, 96)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 118, 166)(103, 151, 120, 168)(105, 153, 117, 165)(106, 154, 128, 176)(107, 155, 129, 177)(108, 156, 131, 179)(109, 157, 133, 181)(110, 158, 135, 183)(111, 159, 130, 178)(113, 161, 134, 182)(115, 163, 119, 167)(116, 164, 132, 180)(121, 169, 127, 175)(122, 170, 139, 187)(123, 171, 140, 188)(124, 172, 142, 190)(125, 173, 137, 185)(126, 174, 141, 189)(136, 184, 144, 192)(138, 186, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 115)(6, 97)(7, 121)(8, 124)(9, 106)(10, 98)(11, 117)(12, 110)(13, 119)(14, 99)(15, 104)(16, 135)(17, 114)(18, 136)(19, 116)(20, 101)(21, 130)(22, 137)(23, 134)(24, 138)(25, 122)(26, 103)(27, 127)(28, 111)(29, 112)(30, 120)(31, 141)(32, 129)(33, 142)(34, 107)(35, 118)(36, 133)(37, 144)(38, 109)(39, 125)(40, 113)(41, 131)(42, 126)(43, 140)(44, 143)(45, 123)(46, 128)(47, 139)(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, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.767
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.777 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^3, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y2 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, (Y1^2 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y2 * Y3 * Y1^-1 * Y3^-1, (Y3 * Y2)^3, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y1^-1 * R * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 24, 72, 13, 61)(4, 52, 15, 63, 43, 91, 17, 65)(6, 54, 21, 69, 46, 94, 23, 71)(8, 56, 27, 75, 18, 66, 29, 77)(9, 57, 31, 79, 39, 87, 22, 70)(10, 58, 33, 81, 37, 85, 12, 60)(14, 62, 28, 76, 26, 74, 42, 90)(16, 64, 34, 82, 25, 73, 40, 88)(19, 67, 41, 89, 32, 80, 44, 92)(20, 68, 36, 84, 30, 78, 45, 93)(35, 83, 48, 96, 38, 86, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 118, 166)(103, 151, 120, 168)(105, 153, 128, 176)(106, 154, 130, 178)(107, 155, 131, 179)(108, 156, 132, 180)(109, 157, 134, 182)(110, 158, 137, 185)(111, 159, 126, 174)(113, 161, 116, 164)(115, 163, 135, 183)(117, 165, 124, 172)(119, 167, 138, 186)(121, 169, 139, 187)(122, 170, 140, 188)(123, 171, 144, 192)(125, 173, 143, 191)(127, 175, 142, 190)(129, 177, 141, 189)(133, 181, 136, 184)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 115)(6, 97)(7, 121)(8, 124)(9, 106)(10, 98)(11, 128)(12, 110)(13, 135)(14, 99)(15, 107)(16, 137)(17, 134)(18, 119)(19, 116)(20, 101)(21, 130)(22, 143)(23, 133)(24, 141)(25, 122)(26, 103)(27, 139)(28, 126)(29, 112)(30, 104)(31, 123)(32, 111)(33, 140)(34, 131)(35, 117)(36, 118)(37, 114)(38, 138)(39, 136)(40, 109)(41, 125)(42, 113)(43, 127)(44, 144)(45, 142)(46, 120)(47, 132)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.766
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^3, (R * Y1)^2, (R * Y3)^2, Y1^4, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y1^-1 * R * Y2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y2 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y3 * Y2)^3, Y1^-2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y3, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 24, 72, 13, 61)(4, 52, 15, 63, 41, 89, 17, 65)(6, 54, 21, 69, 46, 94, 23, 71)(8, 56, 27, 75, 18, 66, 28, 76)(9, 57, 30, 78, 38, 86, 32, 80)(10, 58, 33, 81, 43, 91, 34, 82)(12, 60, 29, 77, 45, 93, 20, 68)(14, 62, 39, 87, 26, 74, 40, 88)(16, 64, 36, 84, 25, 73, 42, 90)(19, 67, 22, 70, 31, 79, 44, 92)(35, 83, 48, 96, 37, 85, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 114, 162)(102, 150, 118, 166)(103, 151, 120, 168)(105, 153, 127, 175)(106, 154, 111, 159)(107, 155, 131, 179)(108, 156, 130, 178)(109, 157, 133, 181)(110, 158, 128, 176)(113, 161, 139, 187)(115, 163, 134, 182)(116, 164, 138, 186)(117, 165, 135, 183)(119, 167, 136, 184)(121, 169, 137, 185)(122, 170, 126, 174)(123, 171, 144, 192)(124, 172, 143, 191)(125, 173, 132, 180)(129, 177, 141, 189)(140, 188, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 115)(6, 97)(7, 121)(8, 117)(9, 106)(10, 98)(11, 127)(12, 110)(13, 134)(14, 99)(15, 131)(16, 128)(17, 109)(18, 136)(19, 116)(20, 101)(21, 125)(22, 143)(23, 138)(24, 129)(25, 122)(26, 103)(27, 137)(28, 112)(29, 104)(30, 144)(31, 132)(32, 124)(33, 142)(34, 118)(35, 135)(36, 107)(37, 119)(38, 113)(39, 111)(40, 139)(41, 140)(42, 133)(43, 114)(44, 123)(45, 126)(46, 120)(47, 130)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.762
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y1^4, Y1 * Y3 * Y1^-1 * Y3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3, Y3^-2 * Y1^2 * Y3^-1, (Y1^-2 * Y2)^2, Y1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, (Y3 * Y2)^3, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 22, 70, 13, 61)(4, 52, 10, 58, 21, 69, 17, 65)(6, 54, 9, 57, 16, 64, 19, 67)(8, 56, 23, 71, 18, 66, 25, 73)(12, 60, 30, 78, 37, 85, 33, 81)(14, 62, 27, 75, 32, 80, 35, 83)(15, 63, 26, 74, 45, 93, 38, 86)(20, 68, 42, 90, 39, 87, 44, 92)(24, 72, 36, 84, 41, 89, 46, 94)(28, 76, 31, 79, 40, 88, 48, 96)(29, 77, 43, 91, 34, 82, 47, 95)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 114, 162)(102, 150, 116, 164)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 124, 172)(107, 155, 125, 173)(108, 156, 127, 175)(109, 157, 130, 178)(110, 158, 132, 180)(112, 160, 135, 183)(113, 161, 136, 184)(115, 163, 131, 179)(117, 165, 141, 189)(119, 167, 139, 187)(120, 168, 140, 188)(121, 169, 143, 191)(122, 170, 129, 177)(126, 174, 134, 182)(128, 176, 142, 190)(133, 181, 144, 192)(137, 185, 138, 186)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 117)(8, 120)(9, 113)(10, 98)(11, 123)(12, 128)(13, 131)(14, 99)(15, 132)(16, 103)(17, 101)(18, 137)(19, 106)(20, 139)(21, 102)(22, 133)(23, 141)(24, 134)(25, 111)(26, 104)(27, 129)(28, 130)(29, 140)(30, 107)(31, 116)(32, 118)(33, 109)(34, 138)(35, 126)(36, 119)(37, 110)(38, 114)(39, 143)(40, 125)(41, 122)(42, 136)(43, 144)(44, 124)(45, 142)(46, 121)(47, 127)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.763
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-3 * Y1^-1, Y1 * Y3 * Y1 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y1^-1 * R * Y2)^2, Y1^-2 * Y2 * Y1^2 * Y2, (Y3 * Y2)^3, (Y2 * Y1^-1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 26, 74, 13, 61)(4, 52, 15, 63, 25, 73, 18, 66)(6, 54, 22, 70, 17, 65, 24, 72)(8, 56, 27, 75, 19, 67, 29, 77)(9, 57, 14, 62, 20, 68, 30, 78)(10, 58, 16, 64, 21, 69, 32, 80)(12, 60, 31, 79, 40, 88, 36, 84)(23, 71, 28, 76, 41, 89, 42, 90)(33, 81, 43, 91, 37, 85, 45, 93)(34, 82, 35, 83, 38, 86, 47, 95)(39, 87, 44, 92, 46, 94, 48, 96)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 119, 167)(103, 151, 122, 170)(105, 153, 120, 168)(106, 154, 127, 175)(107, 155, 129, 177)(108, 156, 131, 179)(109, 157, 133, 181)(110, 158, 135, 183)(111, 159, 130, 178)(113, 161, 137, 185)(114, 162, 134, 182)(116, 164, 118, 166)(117, 165, 132, 180)(121, 169, 128, 176)(123, 171, 139, 187)(124, 172, 140, 188)(125, 173, 141, 189)(126, 174, 142, 190)(136, 184, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 121)(8, 124)(9, 117)(10, 98)(11, 120)(12, 126)(13, 118)(14, 99)(15, 115)(16, 135)(17, 103)(18, 104)(19, 138)(20, 106)(21, 101)(22, 130)(23, 139)(24, 134)(25, 102)(26, 136)(27, 128)(28, 111)(29, 112)(30, 122)(31, 133)(32, 142)(33, 140)(34, 107)(35, 119)(36, 129)(37, 144)(38, 109)(39, 123)(40, 110)(41, 141)(42, 114)(43, 143)(44, 127)(45, 131)(46, 125)(47, 137)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.771
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y3 * Y1^-2 * Y3^-1, Y3 * Y1 * Y3 * Y2 * Y1, Y1 * Y3^2 * Y1 * Y3^-1, (Y3 * Y2)^3, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, (Y1^-1 * R * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 26, 74, 13, 61)(4, 52, 15, 63, 12, 60, 18, 66)(6, 54, 22, 70, 46, 94, 24, 72)(8, 56, 28, 76, 19, 67, 30, 78)(9, 57, 14, 62, 29, 77, 32, 80)(10, 58, 25, 73, 36, 84, 33, 81)(16, 64, 21, 69, 37, 85, 41, 89)(17, 65, 20, 68, 42, 90, 44, 92)(23, 71, 34, 82, 38, 86, 40, 88)(27, 75, 31, 79, 47, 95, 45, 93)(35, 83, 43, 91, 39, 87, 48, 96)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 119, 167)(103, 151, 122, 170)(105, 153, 120, 168)(106, 154, 117, 165)(107, 155, 131, 179)(108, 156, 133, 181)(109, 157, 135, 183)(110, 158, 138, 186)(111, 159, 127, 175)(113, 161, 128, 176)(114, 162, 141, 189)(116, 164, 136, 184)(118, 166, 125, 173)(121, 169, 143, 191)(123, 171, 129, 177)(124, 172, 139, 187)(126, 174, 144, 192)(130, 178, 140, 188)(132, 180, 137, 185)(134, 182, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 123)(8, 125)(9, 114)(10, 98)(11, 120)(12, 134)(13, 136)(14, 99)(15, 115)(16, 138)(17, 139)(18, 135)(19, 140)(20, 141)(21, 101)(22, 117)(23, 103)(24, 111)(25, 102)(26, 143)(27, 128)(28, 129)(29, 137)(30, 112)(31, 104)(32, 144)(33, 110)(34, 106)(35, 118)(36, 107)(37, 119)(38, 124)(39, 130)(40, 127)(41, 109)(42, 122)(43, 121)(44, 132)(45, 131)(46, 126)(47, 142)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.769
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y2 * Y3 * Y1^-2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y3^-2, (Y1^-1 * R * Y2)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, (Y3 * Y2)^3, Y3^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 26, 74, 13, 61)(4, 52, 15, 63, 12, 60, 18, 66)(6, 54, 22, 70, 46, 94, 24, 72)(8, 56, 28, 76, 19, 67, 30, 78)(9, 57, 17, 65, 29, 77, 33, 81)(10, 58, 16, 64, 36, 84, 34, 82)(14, 62, 20, 68, 42, 90, 40, 88)(21, 69, 41, 89, 39, 87, 25, 73)(23, 71, 31, 79, 37, 85, 45, 93)(27, 75, 32, 80, 47, 95, 44, 92)(35, 83, 43, 91, 38, 86, 48, 96)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 112, 160)(101, 149, 115, 163)(102, 150, 119, 167)(103, 151, 122, 170)(105, 153, 127, 175)(106, 154, 117, 165)(107, 155, 131, 179)(108, 156, 130, 178)(109, 157, 134, 182)(110, 158, 129, 177)(111, 159, 128, 176)(113, 161, 138, 186)(114, 162, 140, 188)(116, 164, 118, 166)(120, 168, 136, 184)(121, 169, 143, 191)(123, 171, 137, 185)(124, 172, 139, 187)(125, 173, 141, 189)(126, 174, 144, 192)(132, 180, 135, 183)(133, 181, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 113)(5, 116)(6, 97)(7, 123)(8, 125)(9, 128)(10, 98)(11, 127)(12, 133)(13, 118)(14, 99)(15, 131)(16, 129)(17, 139)(18, 104)(19, 136)(20, 111)(21, 101)(22, 114)(23, 103)(24, 106)(25, 102)(26, 143)(27, 138)(28, 137)(29, 135)(30, 112)(31, 140)(32, 134)(33, 122)(34, 119)(35, 141)(36, 107)(37, 124)(38, 120)(39, 109)(40, 132)(41, 110)(42, 144)(43, 121)(44, 115)(45, 117)(46, 126)(47, 142)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.764
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^4, (Y3 * Y2^-1)^2, Y2^4, (R * Y1)^2, R * Y2 * R * Y3^-1, Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y3^-2 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 5, 53)(3, 51, 9, 57, 23, 71, 11, 59)(4, 52, 12, 60, 27, 75, 13, 61)(7, 55, 18, 66, 35, 83, 20, 68)(8, 56, 21, 69, 36, 84, 22, 70)(10, 58, 19, 67, 31, 79, 26, 74)(14, 62, 28, 76, 39, 87, 24, 72)(15, 63, 29, 77, 40, 88, 25, 73)(16, 64, 30, 78, 41, 89, 32, 80)(17, 65, 33, 81, 42, 90, 34, 82)(37, 85, 45, 93, 47, 95, 44, 92)(38, 86, 46, 94, 48, 96, 43, 91)(97, 145, 99, 147, 106, 154, 100, 148)(98, 146, 103, 151, 115, 163, 104, 152)(101, 149, 110, 158, 122, 170, 111, 159)(102, 150, 112, 160, 127, 175, 113, 161)(105, 153, 120, 168, 108, 156, 121, 169)(107, 155, 117, 165, 109, 157, 114, 162)(116, 164, 129, 177, 118, 166, 126, 174)(119, 167, 133, 181, 123, 171, 134, 182)(124, 172, 128, 176, 125, 173, 130, 178)(131, 179, 139, 187, 132, 180, 140, 188)(135, 183, 142, 190, 136, 184, 141, 189)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 104)(3, 97)(4, 106)(5, 111)(6, 113)(7, 98)(8, 115)(9, 121)(10, 99)(11, 114)(12, 120)(13, 117)(14, 101)(15, 122)(16, 102)(17, 127)(18, 109)(19, 103)(20, 126)(21, 107)(22, 129)(23, 134)(24, 105)(25, 108)(26, 110)(27, 133)(28, 130)(29, 128)(30, 118)(31, 112)(32, 124)(33, 116)(34, 125)(35, 140)(36, 139)(37, 119)(38, 123)(39, 141)(40, 142)(41, 144)(42, 143)(43, 131)(44, 132)(45, 136)(46, 135)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.756
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.784 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^2 * Y2^2, Y1^4, Y2^4, (R * Y1)^2, Y3^-1 * Y2^2 * Y3^-1, Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1^2 * Y2^-1, (Y3 * Y2^-1)^2, (Y1^-1 * Y2^-1)^3, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 17, 65, 7, 55, 18, 66)(9, 57, 19, 67, 11, 59, 21, 69)(10, 58, 23, 71, 12, 60, 24, 72)(14, 62, 27, 75, 16, 64, 28, 76)(20, 68, 33, 81, 22, 70, 34, 82)(25, 73, 37, 85, 26, 74, 38, 86)(29, 77, 40, 88, 30, 78, 39, 87)(31, 79, 41, 89, 32, 80, 42, 90)(35, 83, 44, 92, 36, 84, 43, 91)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 110, 158, 103, 151, 112, 160)(106, 154, 116, 164, 108, 156, 118, 166)(109, 157, 117, 165, 111, 159, 115, 163)(113, 161, 125, 173, 114, 162, 126, 174)(119, 167, 131, 179, 120, 168, 132, 180)(121, 169, 128, 176, 122, 170, 127, 175)(123, 171, 135, 183, 124, 172, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 116)(10, 101)(11, 118)(12, 98)(13, 121)(14, 102)(15, 122)(16, 99)(17, 120)(18, 119)(19, 127)(20, 107)(21, 128)(22, 105)(23, 113)(24, 114)(25, 111)(26, 109)(27, 134)(28, 133)(29, 132)(30, 131)(31, 117)(32, 115)(33, 138)(34, 137)(35, 125)(36, 126)(37, 123)(38, 124)(39, 142)(40, 141)(41, 129)(42, 130)(43, 144)(44, 143)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.752
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.785 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^4, Y1^4, (Y3, Y2^-1), Y3^-2 * Y2^2, (R * Y3)^2, Y2^-1 * Y3^-2 * Y2^-1, (Y3 * Y2^-1)^2, Y1^4, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y2 * R)^2, Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y2^-1 * Y1^-2, Y2 * Y1^-2 * Y3^-1 * Y1^-2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 29, 77, 16, 64)(4, 52, 18, 66, 28, 76, 19, 67)(6, 54, 24, 72, 31, 79, 25, 73)(7, 55, 26, 74, 30, 78, 27, 75)(9, 57, 32, 80, 21, 69, 35, 83)(10, 58, 37, 85, 20, 68, 38, 86)(11, 59, 39, 87, 23, 71, 40, 88)(12, 60, 41, 89, 22, 70, 42, 90)(14, 62, 33, 81, 46, 94, 43, 91)(15, 63, 44, 92, 47, 95, 36, 84)(17, 65, 45, 93, 48, 96, 34, 82)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 129, 177, 107, 155)(100, 148, 111, 159, 103, 151, 113, 161)(101, 149, 116, 164, 139, 187, 118, 166)(104, 152, 124, 172, 142, 190, 126, 174)(106, 154, 130, 178, 108, 156, 132, 180)(109, 157, 137, 185, 120, 168, 133, 181)(112, 160, 128, 176, 121, 169, 135, 183)(114, 162, 134, 182, 122, 170, 138, 186)(115, 163, 136, 184, 123, 171, 131, 179)(117, 165, 141, 189, 119, 167, 140, 188)(125, 173, 143, 191, 127, 175, 144, 192)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 113)(7, 97)(8, 125)(9, 130)(10, 129)(11, 132)(12, 98)(13, 131)(14, 103)(15, 102)(16, 138)(17, 99)(18, 135)(19, 133)(20, 141)(21, 139)(22, 140)(23, 101)(24, 136)(25, 134)(26, 128)(27, 137)(28, 143)(29, 142)(30, 144)(31, 104)(32, 114)(33, 108)(34, 107)(35, 120)(36, 105)(37, 123)(38, 112)(39, 122)(40, 109)(41, 115)(42, 121)(43, 119)(44, 116)(45, 118)(46, 127)(47, 126)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.750
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.786 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-2 * Y2^2, Y3^2 * Y2^2, Y1^2 * Y2^2, Y2^4, Y1^2 * Y2^-2, (R * Y2)^2, (R * Y1)^2, (Y3, Y2^-1), (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 6, 54, 15, 63)(4, 52, 17, 65, 7, 55, 18, 66)(9, 57, 19, 67, 11, 59, 21, 69)(10, 58, 23, 71, 12, 60, 24, 72)(14, 62, 27, 75, 16, 64, 28, 76)(20, 68, 33, 81, 22, 70, 34, 82)(25, 73, 37, 85, 26, 74, 38, 86)(29, 77, 39, 87, 30, 78, 40, 88)(31, 79, 41, 89, 32, 80, 42, 90)(35, 83, 43, 91, 36, 84, 44, 92)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 104, 152, 102, 150)(98, 146, 105, 153, 101, 149, 107, 155)(100, 148, 110, 158, 103, 151, 112, 160)(106, 154, 116, 164, 108, 156, 118, 166)(109, 157, 115, 163, 111, 159, 117, 165)(113, 161, 125, 173, 114, 162, 126, 174)(119, 167, 131, 179, 120, 168, 132, 180)(121, 169, 127, 175, 122, 170, 128, 176)(123, 171, 135, 183, 124, 172, 136, 184)(129, 177, 139, 187, 130, 178, 140, 188)(133, 181, 141, 189, 134, 182, 142, 190)(137, 185, 143, 191, 138, 186, 144, 192)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 112)(7, 97)(8, 103)(9, 116)(10, 101)(11, 118)(12, 98)(13, 121)(14, 102)(15, 122)(16, 99)(17, 120)(18, 119)(19, 127)(20, 107)(21, 128)(22, 105)(23, 113)(24, 114)(25, 111)(26, 109)(27, 134)(28, 133)(29, 132)(30, 131)(31, 117)(32, 115)(33, 138)(34, 137)(35, 125)(36, 126)(37, 123)(38, 124)(39, 142)(40, 141)(41, 129)(42, 130)(43, 144)(44, 143)(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) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.755
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.787 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-2 * Y2^2, Y3^2 * Y2^2, Y1^4, (R * Y1)^2, (Y3, Y2^-1), (Y2 * R)^2, Y2^4, (R * Y3)^2, Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^-2 * Y3^-1 * Y1^-1, (Y2 * Y1^-1)^3, Y1 * Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 31, 79, 16, 64)(4, 52, 18, 66, 30, 78, 19, 67)(6, 54, 24, 72, 29, 77, 25, 73)(7, 55, 26, 74, 28, 76, 27, 75)(9, 57, 32, 80, 23, 71, 35, 83)(10, 58, 37, 85, 22, 70, 38, 86)(11, 59, 39, 87, 21, 69, 40, 88)(12, 60, 41, 89, 20, 68, 42, 90)(14, 62, 33, 81, 46, 94, 43, 91)(15, 63, 44, 92, 47, 95, 36, 84)(17, 65, 45, 93, 48, 96, 34, 82)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 129, 177, 107, 155)(100, 148, 111, 159, 103, 151, 113, 161)(101, 149, 116, 164, 139, 187, 118, 166)(104, 152, 124, 172, 142, 190, 126, 174)(106, 154, 130, 178, 108, 156, 132, 180)(109, 157, 137, 185, 120, 168, 133, 181)(112, 160, 135, 183, 121, 169, 128, 176)(114, 162, 138, 186, 122, 170, 134, 182)(115, 163, 136, 184, 123, 171, 131, 179)(117, 165, 141, 189, 119, 167, 140, 188)(125, 173, 143, 191, 127, 175, 144, 192)
	L = (1, 100)(2, 106)(3, 111)(4, 110)(5, 117)(6, 113)(7, 97)(8, 125)(9, 130)(10, 129)(11, 132)(12, 98)(13, 131)(14, 103)(15, 102)(16, 134)(17, 99)(18, 128)(19, 133)(20, 141)(21, 139)(22, 140)(23, 101)(24, 136)(25, 138)(26, 135)(27, 137)(28, 143)(29, 142)(30, 144)(31, 104)(32, 122)(33, 108)(34, 107)(35, 120)(36, 105)(37, 123)(38, 121)(39, 114)(40, 109)(41, 115)(42, 112)(43, 119)(44, 116)(45, 118)(46, 127)(47, 126)(48, 124)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.753
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.788 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^-1 * Y3^-1 * Y1^2, (Y2 * Y3)^2, Y3^-1 * Y1^-2 * Y2^-1, Y2^4, (R * Y3)^2, Y3^4, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y3 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 7, 55, 16, 64)(4, 52, 18, 66, 41, 89, 20, 68)(6, 54, 23, 71, 40, 88, 25, 73)(9, 57, 28, 76, 12, 60, 31, 79)(10, 58, 33, 81, 48, 96, 35, 83)(11, 59, 36, 84, 47, 95, 38, 86)(14, 62, 29, 77, 17, 65, 32, 80)(15, 63, 34, 82, 45, 93, 37, 85)(19, 67, 30, 78, 24, 72, 43, 91)(21, 69, 42, 90, 22, 70, 39, 87)(26, 74, 44, 92, 27, 75, 46, 94)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 104, 152, 122, 170, 113, 161)(101, 149, 117, 165, 128, 176, 106, 154)(103, 151, 120, 168, 136, 184, 111, 159)(108, 156, 133, 181, 143, 191, 126, 174)(109, 157, 131, 179, 119, 167, 135, 183)(112, 160, 124, 172, 121, 169, 132, 180)(114, 162, 127, 175, 140, 188, 134, 182)(115, 163, 137, 185, 141, 189, 123, 171)(116, 164, 129, 177, 142, 190, 138, 186)(118, 166, 130, 178, 144, 192, 139, 187)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 107)(6, 120)(7, 97)(8, 102)(9, 126)(10, 130)(11, 133)(12, 98)(13, 132)(14, 122)(15, 137)(16, 135)(17, 99)(18, 138)(19, 103)(20, 134)(21, 139)(22, 101)(23, 124)(24, 123)(25, 131)(26, 141)(27, 104)(28, 114)(29, 117)(30, 144)(31, 112)(32, 105)(33, 109)(34, 108)(35, 116)(36, 140)(37, 118)(38, 121)(39, 142)(40, 110)(41, 113)(42, 119)(43, 143)(44, 129)(45, 136)(46, 127)(47, 125)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.759
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.789 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 * Y2^-1 * Y1^-2, Y3^4, (R * Y1)^2, Y1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2)^2, (R * Y3)^2, Y2^4, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 15, 63)(4, 52, 17, 65, 6, 54, 20, 68)(7, 55, 24, 72, 42, 90, 25, 73)(9, 57, 28, 76, 47, 95, 30, 78)(10, 58, 32, 80, 11, 59, 35, 83)(12, 60, 37, 85, 48, 96, 38, 86)(14, 62, 29, 77, 23, 71, 36, 84)(16, 64, 41, 89, 19, 67, 33, 81)(18, 66, 34, 82, 45, 93, 31, 79)(21, 69, 40, 88, 22, 70, 43, 91)(26, 74, 44, 92, 27, 75, 46, 94)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 114, 162, 135, 183, 112, 160)(101, 149, 108, 156, 132, 180, 118, 166)(103, 151, 119, 167, 123, 171, 104, 152)(106, 154, 129, 177, 143, 191, 127, 175)(109, 157, 136, 184, 116, 164, 134, 182)(111, 159, 124, 172, 113, 161, 131, 179)(115, 163, 122, 170, 141, 189, 138, 186)(117, 165, 137, 185, 144, 192, 130, 178)(120, 168, 128, 176, 142, 190, 126, 174)(121, 169, 133, 181, 140, 188, 139, 187)
	L = (1, 100)(2, 106)(3, 104)(4, 115)(5, 117)(6, 119)(7, 97)(8, 122)(9, 101)(10, 130)(11, 132)(12, 98)(13, 133)(14, 135)(15, 128)(16, 99)(17, 126)(18, 102)(19, 103)(20, 139)(21, 127)(22, 125)(23, 138)(24, 124)(25, 136)(26, 112)(27, 110)(28, 109)(29, 143)(30, 140)(31, 105)(32, 121)(33, 107)(34, 108)(35, 116)(36, 144)(37, 120)(38, 113)(39, 141)(40, 111)(41, 118)(42, 114)(43, 142)(44, 134)(45, 123)(46, 131)(47, 137)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.751
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.790 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^-1 * Y3 * Y1^-2, Y1^4, Y3 * Y1^-2 * Y2^-1, (Y3 * Y2^-1)^2, Y3^-1 * Y2 * Y1^-2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3^4, (Y3^-1 * Y2^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * R * Y2^-1 * R * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y1)^3, Y2^-1 * Y1 * Y3^-2 * Y1^-1 * Y3, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 4, 52, 16, 64)(6, 54, 22, 70, 41, 89, 23, 71)(7, 55, 24, 72, 42, 90, 25, 73)(9, 57, 28, 76, 10, 58, 31, 79)(11, 59, 35, 83, 47, 95, 36, 84)(12, 60, 37, 85, 48, 96, 38, 86)(14, 62, 29, 77, 15, 63, 30, 78)(17, 65, 34, 82, 46, 94, 33, 81)(18, 66, 43, 91, 19, 67, 32, 80)(20, 68, 40, 88, 21, 69, 39, 87)(26, 74, 44, 92, 27, 75, 45, 93)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 114, 162, 137, 185, 113, 161)(101, 149, 116, 164, 126, 174, 108, 156)(103, 151, 104, 152, 122, 170, 111, 159)(106, 154, 129, 177, 143, 191, 128, 176)(109, 157, 135, 183, 118, 166, 134, 182)(112, 160, 131, 179, 119, 167, 124, 172)(115, 163, 138, 186, 142, 190, 123, 171)(117, 165, 130, 178, 144, 192, 139, 187)(120, 168, 132, 180, 140, 188, 127, 175)(121, 169, 136, 184, 141, 189, 133, 181)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 117)(6, 104)(7, 97)(8, 123)(9, 126)(10, 130)(11, 101)(12, 98)(13, 136)(14, 137)(15, 138)(16, 132)(17, 99)(18, 102)(19, 103)(20, 125)(21, 129)(22, 133)(23, 127)(24, 131)(25, 135)(26, 110)(27, 114)(28, 109)(29, 143)(30, 144)(31, 121)(32, 105)(33, 107)(34, 108)(35, 118)(36, 141)(37, 120)(38, 112)(39, 119)(40, 140)(41, 142)(42, 113)(43, 116)(44, 124)(45, 134)(46, 122)(47, 139)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.754
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.791 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^-1 * Y1^2 * Y3, (Y3^-1 * Y2^-1)^2, Y2^-1 * Y1^-2 * Y3, Y1^4, (Y3^-1 * Y2)^2, (R * Y1)^2, Y2^4, Y3^4, (R * Y3)^2, Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 16, 64)(4, 52, 17, 65, 43, 91, 20, 68)(6, 54, 23, 71, 7, 55, 25, 73)(9, 57, 28, 76, 47, 95, 31, 79)(10, 58, 32, 80, 48, 96, 35, 83)(11, 59, 36, 84, 12, 60, 38, 86)(14, 62, 29, 77, 18, 66, 33, 81)(15, 63, 42, 90, 19, 67, 37, 85)(21, 69, 41, 89, 22, 70, 40, 88)(24, 72, 34, 82, 45, 93, 30, 78)(26, 74, 44, 92, 27, 75, 46, 94)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 114, 162, 122, 170, 104, 152)(101, 149, 106, 154, 129, 177, 117, 165)(103, 151, 120, 168, 135, 183, 111, 159)(108, 156, 133, 181, 143, 191, 126, 174)(109, 157, 131, 179, 119, 167, 136, 184)(112, 160, 132, 180, 121, 169, 124, 172)(113, 161, 127, 175, 140, 188, 134, 182)(115, 163, 123, 171, 141, 189, 139, 187)(116, 164, 137, 185, 142, 190, 128, 176)(118, 166, 138, 186, 144, 192, 130, 178)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 105)(6, 120)(7, 97)(8, 99)(9, 126)(10, 130)(11, 133)(12, 98)(13, 132)(14, 122)(15, 123)(16, 131)(17, 137)(18, 102)(19, 103)(20, 127)(21, 138)(22, 101)(23, 124)(24, 139)(25, 136)(26, 141)(27, 104)(28, 140)(29, 117)(30, 118)(31, 112)(32, 119)(33, 107)(34, 108)(35, 116)(36, 113)(37, 144)(38, 121)(39, 110)(40, 142)(41, 109)(42, 143)(43, 114)(44, 128)(45, 135)(46, 134)(47, 125)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.760
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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^-2 * Y2, Y1 * Y2 * Y3 * Y1, (R * Y1)^2, Y3^4, Y2^4, (Y2^-1 * Y3^-1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1, (Y2^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 15, 63)(4, 52, 17, 65, 6, 54, 20, 68)(7, 55, 24, 72, 43, 91, 25, 73)(9, 57, 28, 76, 47, 95, 30, 78)(10, 58, 32, 80, 11, 59, 35, 83)(12, 60, 37, 85, 48, 96, 38, 86)(14, 62, 33, 81, 23, 71, 41, 89)(16, 64, 31, 79, 19, 67, 34, 82)(18, 66, 29, 77, 45, 93, 36, 84)(21, 69, 40, 88, 22, 70, 42, 90)(26, 74, 44, 92, 27, 75, 46, 94)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 114, 162, 135, 183, 112, 160)(101, 149, 108, 156, 132, 180, 118, 166)(103, 151, 119, 167, 123, 171, 104, 152)(106, 154, 129, 177, 143, 191, 127, 175)(109, 157, 136, 184, 120, 168, 128, 176)(111, 159, 134, 182, 121, 169, 126, 174)(113, 161, 133, 181, 140, 188, 124, 172)(115, 163, 122, 170, 141, 189, 139, 187)(116, 164, 138, 186, 142, 190, 131, 179)(117, 165, 137, 185, 144, 192, 130, 178)
	L = (1, 100)(2, 106)(3, 104)(4, 115)(5, 117)(6, 119)(7, 97)(8, 122)(9, 101)(10, 130)(11, 132)(12, 98)(13, 131)(14, 135)(15, 124)(16, 99)(17, 126)(18, 102)(19, 103)(20, 128)(21, 127)(22, 125)(23, 139)(24, 138)(25, 133)(26, 112)(27, 110)(28, 142)(29, 143)(30, 120)(31, 105)(32, 121)(33, 107)(34, 108)(35, 140)(36, 144)(37, 116)(38, 109)(39, 141)(40, 111)(41, 118)(42, 113)(43, 114)(44, 134)(45, 123)(46, 136)(47, 137)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.757
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1 * Y3 * Y2^-1 * Y1, (Y3 * Y2^-1)^2, Y2^4, Y2 * Y3^-1 * Y1^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, Y3^4, (R * Y1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y2^-1 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 39, 87, 16, 64)(4, 52, 17, 65, 43, 91, 20, 68)(6, 54, 23, 71, 7, 55, 25, 73)(9, 57, 28, 76, 47, 95, 31, 79)(10, 58, 32, 80, 48, 96, 35, 83)(11, 59, 36, 84, 12, 60, 38, 86)(14, 62, 37, 85, 18, 66, 40, 88)(15, 63, 30, 78, 19, 67, 34, 82)(21, 69, 41, 89, 22, 70, 42, 90)(24, 72, 29, 77, 45, 93, 33, 81)(26, 74, 44, 92, 27, 75, 46, 94)(97, 145, 99, 147, 110, 158, 102, 150)(98, 146, 105, 153, 125, 173, 107, 155)(100, 148, 114, 162, 122, 170, 104, 152)(101, 149, 106, 154, 129, 177, 117, 165)(103, 151, 120, 168, 135, 183, 111, 159)(108, 156, 133, 181, 143, 191, 126, 174)(109, 157, 124, 172, 113, 161, 128, 176)(112, 160, 132, 180, 116, 164, 137, 185)(115, 163, 123, 171, 141, 189, 139, 187)(118, 166, 136, 184, 144, 192, 130, 178)(119, 167, 127, 175, 140, 188, 131, 179)(121, 169, 134, 182, 142, 190, 138, 186)
	L = (1, 100)(2, 106)(3, 111)(4, 115)(5, 105)(6, 120)(7, 97)(8, 99)(9, 126)(10, 130)(11, 133)(12, 98)(13, 132)(14, 122)(15, 123)(16, 124)(17, 137)(18, 102)(19, 103)(20, 128)(21, 136)(22, 101)(23, 134)(24, 139)(25, 127)(26, 141)(27, 104)(28, 140)(29, 117)(30, 118)(31, 113)(32, 119)(33, 107)(34, 108)(35, 109)(36, 142)(37, 144)(38, 116)(39, 110)(40, 143)(41, 121)(42, 112)(43, 114)(44, 138)(45, 135)(46, 131)(47, 125)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.758
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2^-1 * Y1 * Y2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y2^-1)^2, Y2 * R * Y1 * Y2 * Y1 * Y2 * R, Y2 * R * Y3 * Y1 * Y3 * R * Y2^-1 * Y1, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y2 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 11, 59)(5, 53, 14, 62)(6, 54, 16, 64)(7, 55, 18, 66)(8, 56, 21, 69)(10, 58, 17, 65)(12, 60, 22, 70)(13, 61, 20, 68)(15, 63, 19, 67)(23, 71, 45, 93)(24, 72, 36, 84)(25, 73, 37, 85)(26, 74, 44, 92)(27, 75, 28, 76)(29, 77, 40, 88)(30, 78, 47, 95)(31, 79, 33, 81)(32, 80, 39, 87)(34, 82, 43, 91)(35, 83, 38, 86)(41, 89, 42, 90)(46, 94, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 102, 150, 104, 152)(100, 148, 108, 156, 109, 157)(103, 151, 115, 163, 116, 164)(105, 153, 119, 167, 121, 169)(106, 154, 122, 170, 123, 171)(107, 155, 124, 172, 120, 168)(110, 158, 125, 173, 129, 177)(111, 159, 130, 178, 131, 179)(112, 160, 126, 174, 133, 181)(113, 161, 134, 182, 128, 176)(114, 162, 135, 183, 132, 180)(117, 165, 136, 184, 138, 186)(118, 166, 139, 187, 140, 188)(127, 175, 141, 189, 142, 190)(137, 185, 143, 191, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 111)(6, 113)(7, 98)(8, 118)(9, 120)(10, 99)(11, 125)(12, 126)(13, 127)(14, 128)(15, 101)(16, 132)(17, 102)(18, 136)(19, 119)(20, 137)(21, 123)(22, 104)(23, 115)(24, 105)(25, 140)(26, 142)(27, 117)(28, 143)(29, 107)(30, 108)(31, 109)(32, 110)(33, 139)(34, 138)(35, 133)(36, 112)(37, 131)(38, 144)(39, 141)(40, 114)(41, 116)(42, 130)(43, 129)(44, 121)(45, 135)(46, 122)(47, 124)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.799
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y1 * Y3^-2, (R * Y3)^2, (Y2 * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1 * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 11, 59, 10, 58)(4, 52, 9, 57, 7, 55)(6, 54, 17, 65, 20, 68)(8, 56, 22, 70, 18, 66)(12, 60, 29, 77, 28, 76)(13, 61, 25, 73, 14, 62)(15, 63, 19, 67, 26, 74)(16, 64, 21, 69, 24, 72)(23, 71, 27, 75, 39, 87)(30, 78, 42, 90, 31, 79)(32, 80, 33, 81, 40, 88)(34, 82, 41, 89, 36, 84)(35, 83, 38, 86, 37, 85)(43, 91, 44, 92, 47, 95)(45, 93, 46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 119, 167, 106, 154)(100, 148, 111, 159, 130, 178, 112, 160)(101, 149, 113, 161, 131, 179, 114, 162)(103, 151, 117, 165, 128, 176, 109, 157)(105, 153, 121, 169, 138, 186, 122, 170)(107, 155, 123, 171, 139, 187, 124, 172)(110, 158, 129, 177, 141, 189, 126, 174)(115, 163, 127, 175, 142, 190, 132, 180)(116, 164, 125, 173, 140, 188, 133, 181)(118, 166, 134, 182, 143, 191, 135, 183)(120, 168, 137, 185, 144, 192, 136, 184)
	L = (1, 100)(2, 105)(3, 109)(4, 98)(5, 103)(6, 115)(7, 97)(8, 112)(9, 101)(10, 110)(11, 121)(12, 126)(13, 107)(14, 99)(15, 102)(16, 118)(17, 122)(18, 120)(19, 113)(20, 111)(21, 114)(22, 117)(23, 136)(24, 104)(25, 106)(26, 116)(27, 128)(28, 127)(29, 138)(30, 125)(31, 108)(32, 135)(33, 119)(34, 133)(35, 132)(36, 134)(37, 137)(38, 130)(39, 129)(40, 123)(41, 131)(42, 124)(43, 144)(44, 141)(45, 143)(46, 139)(47, 142)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.797
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y1^3, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, Y2^4, Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y3^-2 * Y2^-2 * Y1, Y1^-1 * R * Y2^-1 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 20, 68)(6, 54, 24, 72, 8, 56)(7, 55, 26, 74, 9, 57)(10, 58, 35, 83, 22, 70)(11, 59, 36, 84, 23, 71)(13, 61, 19, 67, 37, 85)(14, 62, 39, 87, 30, 78)(16, 64, 41, 89, 32, 80)(18, 66, 27, 75, 34, 82)(21, 69, 25, 73, 31, 79)(28, 76, 47, 95, 40, 88)(29, 77, 33, 81, 45, 93)(38, 86, 43, 91, 44, 92)(42, 90, 46, 94, 48, 96)(97, 145, 99, 147, 109, 157, 102, 150)(98, 146, 104, 152, 125, 173, 106, 154)(100, 148, 114, 162, 139, 187, 117, 165)(101, 149, 118, 166, 124, 172, 108, 156)(103, 151, 123, 171, 116, 164, 110, 158)(105, 153, 128, 176, 140, 188, 130, 178)(107, 155, 112, 160, 122, 170, 126, 174)(111, 159, 136, 184, 138, 186, 115, 163)(113, 161, 127, 175, 132, 180, 135, 183)(119, 167, 121, 169, 134, 182, 137, 185)(120, 168, 133, 181, 144, 192, 129, 177)(131, 179, 141, 189, 142, 190, 143, 191)
	L = (1, 100)(2, 105)(3, 110)(4, 115)(5, 119)(6, 121)(7, 97)(8, 126)(9, 129)(10, 114)(11, 98)(12, 128)(13, 107)(14, 120)(15, 117)(16, 99)(17, 101)(18, 102)(19, 140)(20, 141)(21, 142)(22, 135)(23, 143)(24, 130)(25, 108)(26, 136)(27, 118)(28, 103)(29, 113)(30, 131)(31, 104)(32, 106)(33, 134)(34, 138)(35, 137)(36, 133)(37, 116)(38, 109)(39, 111)(40, 132)(41, 144)(42, 112)(43, 125)(44, 124)(45, 122)(46, 123)(47, 139)(48, 127)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.798
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 6^16, 8^12 ]

E17.797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3 * Y2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1^-1, Y1^4, Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3, (Y3^-1 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 8, 56, 18, 66, 12, 60)(4, 52, 14, 62, 24, 72, 10, 58)(6, 54, 15, 63, 30, 78, 17, 65)(9, 57, 23, 71, 35, 83, 20, 68)(11, 59, 25, 73, 37, 85, 22, 70)(13, 61, 26, 74, 40, 88, 28, 76)(16, 64, 19, 67, 34, 82, 31, 79)(21, 69, 36, 84, 44, 92, 33, 81)(27, 75, 32, 80, 43, 91, 41, 89)(29, 77, 42, 90, 45, 93, 38, 86)(39, 87, 47, 95, 48, 96, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 107, 155)(101, 149, 108, 156)(102, 150, 109, 157)(103, 151, 114, 162)(105, 153, 117, 165)(106, 154, 118, 166)(110, 158, 121, 169)(111, 159, 122, 170)(112, 160, 123, 171)(113, 161, 124, 172)(115, 163, 128, 176)(116, 164, 129, 177)(119, 167, 132, 180)(120, 168, 133, 181)(125, 173, 135, 183)(126, 174, 136, 184)(127, 175, 137, 185)(130, 178, 139, 187)(131, 179, 140, 188)(134, 182, 142, 190)(138, 186, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 109)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 102)(12, 122)(13, 99)(14, 125)(15, 123)(16, 101)(17, 121)(18, 128)(19, 129)(20, 103)(21, 106)(22, 104)(23, 134)(24, 132)(25, 135)(26, 112)(27, 108)(28, 110)(29, 113)(30, 138)(31, 136)(32, 116)(33, 114)(34, 141)(35, 139)(36, 142)(37, 119)(38, 120)(39, 124)(40, 143)(41, 126)(42, 127)(43, 144)(44, 130)(45, 131)(46, 133)(47, 137)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.795
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.798 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, (R * Y3)^2, Y1^4, (Y1 * Y2)^2, (R * Y1)^2, Y1^-1 * R * Y2 * R * Y2 * Y1^-1, Y2 * Y3^2 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3^-2 * Y1^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1 * Y3^-1)^2, (Y3 * Y2 * Y1^-1)^2, Y3^6, (Y3 * Y2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 22, 70, 8, 56)(4, 52, 14, 62, 31, 79, 10, 58)(6, 54, 17, 65, 34, 82, 20, 68)(9, 57, 27, 75, 42, 90, 24, 72)(12, 60, 29, 77, 21, 69, 33, 81)(13, 61, 25, 73, 19, 67, 32, 80)(15, 63, 30, 78, 43, 91, 26, 74)(16, 64, 36, 84, 40, 88, 28, 76)(18, 66, 23, 71, 41, 89, 38, 86)(35, 83, 47, 95, 48, 96, 44, 92)(37, 85, 45, 93, 39, 87, 46, 94)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 111, 159)(101, 149, 107, 155)(102, 150, 115, 163)(103, 151, 118, 166)(105, 153, 124, 172)(106, 154, 126, 174)(108, 156, 119, 167)(109, 157, 130, 178)(110, 158, 122, 170)(112, 160, 120, 168)(113, 161, 121, 169)(114, 162, 125, 173)(116, 164, 128, 176)(117, 165, 134, 182)(123, 171, 136, 184)(127, 175, 139, 187)(129, 177, 137, 185)(131, 179, 142, 190)(132, 180, 138, 186)(133, 181, 140, 188)(135, 183, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 113)(6, 97)(7, 119)(8, 121)(9, 125)(10, 98)(11, 124)(12, 123)(13, 99)(14, 131)(15, 130)(16, 133)(17, 126)(18, 101)(19, 135)(20, 129)(21, 102)(22, 111)(23, 115)(24, 103)(25, 137)(26, 104)(27, 140)(28, 110)(29, 141)(30, 142)(31, 109)(32, 106)(33, 107)(34, 143)(35, 116)(36, 114)(37, 117)(38, 136)(39, 139)(40, 118)(41, 144)(42, 122)(43, 120)(44, 127)(45, 128)(46, 132)(47, 134)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 8, 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.796
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.799 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 4, 4})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y1^4, (R * Y1)^2, Y2 * R * Y2^-1 * R, (R * Y3)^2, (Y2^-1 * Y3)^2, Y2^4, Y3 * Y2 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-2)^2, (Y2^-2 * Y1^-1)^2, (Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 25, 73, 14, 62)(4, 52, 15, 63, 40, 88, 17, 65)(6, 54, 21, 69, 23, 71, 22, 70)(8, 56, 26, 74, 20, 68, 29, 77)(9, 57, 30, 78, 48, 96, 32, 80)(10, 58, 33, 81, 18, 66, 34, 82)(12, 60, 36, 84, 42, 90, 27, 75)(13, 61, 28, 76, 43, 91, 38, 86)(16, 64, 41, 89, 45, 93, 31, 79)(19, 67, 35, 83, 47, 95, 39, 87)(24, 72, 44, 92, 37, 85, 46, 94)(97, 145, 99, 147, 108, 156, 102, 150)(98, 146, 104, 152, 123, 171, 106, 154)(100, 148, 112, 160, 133, 181, 109, 157)(101, 149, 114, 162, 132, 180, 116, 164)(103, 151, 119, 167, 138, 186, 121, 169)(105, 153, 127, 175, 143, 191, 124, 172)(107, 155, 131, 179, 118, 166, 126, 174)(110, 158, 128, 176, 117, 165, 135, 183)(111, 159, 130, 178, 140, 188, 122, 170)(113, 161, 125, 173, 142, 190, 129, 177)(115, 163, 137, 185, 144, 192, 134, 182)(120, 168, 141, 189, 136, 184, 139, 187)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 115)(6, 112)(7, 120)(8, 124)(9, 98)(10, 127)(11, 129)(12, 133)(13, 99)(14, 122)(15, 135)(16, 102)(17, 126)(18, 134)(19, 101)(20, 137)(21, 130)(22, 125)(23, 139)(24, 103)(25, 141)(26, 110)(27, 143)(28, 104)(29, 118)(30, 113)(31, 106)(32, 140)(33, 107)(34, 117)(35, 142)(36, 144)(37, 108)(38, 114)(39, 111)(40, 138)(41, 116)(42, 136)(43, 119)(44, 128)(45, 121)(46, 131)(47, 123)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.794
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.800 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * Y3 * Y1, Y3 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * R * Y2^-1 * R, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, Y3^6, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 8, 56)(5, 53, 9, 57)(6, 54, 10, 58)(11, 59, 21, 69)(12, 60, 22, 70)(13, 61, 23, 71)(14, 62, 24, 72)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 28, 76)(19, 67, 29, 77)(20, 68, 30, 78)(31, 79, 40, 88)(32, 80, 41, 89)(33, 81, 42, 90)(34, 82, 43, 91)(35, 83, 44, 92)(36, 84, 45, 93)(37, 85, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 145, 99, 147, 101, 149)(98, 146, 103, 151, 105, 153)(100, 148, 109, 157, 111, 159)(102, 150, 114, 162, 115, 163)(104, 152, 119, 167, 121, 169)(106, 154, 124, 172, 125, 173)(107, 155, 110, 158, 128, 176)(108, 156, 129, 177, 130, 178)(112, 160, 127, 175, 133, 181)(113, 161, 134, 182, 116, 164)(117, 165, 120, 168, 137, 185)(118, 166, 138, 186, 139, 187)(122, 170, 136, 184, 142, 190)(123, 171, 143, 191, 126, 174)(131, 179, 132, 180, 135, 183)(140, 188, 141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 107)(4, 110)(5, 112)(6, 97)(7, 117)(8, 120)(9, 122)(10, 98)(11, 127)(12, 99)(13, 131)(14, 132)(15, 129)(16, 109)(17, 101)(18, 111)(19, 108)(20, 102)(21, 136)(22, 103)(23, 140)(24, 141)(25, 138)(26, 119)(27, 105)(28, 121)(29, 118)(30, 106)(31, 135)(32, 134)(33, 128)(34, 113)(35, 130)(36, 116)(37, 114)(38, 133)(39, 115)(40, 144)(41, 143)(42, 137)(43, 123)(44, 139)(45, 126)(46, 124)(47, 142)(48, 125)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6, 12, 6, 12 ), ( 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.801
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.801 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 3, 6})
Quotient :: dipole
Aut^+ = C2 x SL(2,3) (small group id <48, 32>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y1^3, Y2^-2 * Y3^2, (R * Y1)^2, (Y2, Y3), (R * Y3)^2, (R * Y2)^2, Y3^-1 * Y1 * Y3^2 * Y1, Y2^-1 * Y1 * Y2 * Y3 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y3 * Y2^-1, Y2^6, Y3^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2, (Y3^-1 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 5, 53)(3, 51, 12, 60, 15, 63)(4, 52, 17, 65, 18, 66)(6, 54, 23, 71, 24, 72)(7, 55, 27, 75, 28, 76)(8, 56, 29, 77, 30, 78)(9, 57, 32, 80, 33, 81)(10, 58, 26, 74, 34, 82)(11, 59, 25, 73, 37, 85)(13, 61, 20, 68, 42, 90)(14, 62, 19, 67, 43, 91)(16, 64, 31, 79, 46, 94)(21, 69, 36, 84, 39, 87)(22, 70, 35, 83, 38, 86)(40, 88, 45, 93, 48, 96)(41, 89, 44, 92, 47, 95)(97, 145, 99, 147, 109, 157, 136, 184, 121, 169, 102, 150)(98, 146, 104, 152, 114, 162, 141, 189, 131, 179, 106, 154)(100, 148, 110, 158, 137, 185, 122, 170, 103, 151, 112, 160)(101, 149, 115, 163, 129, 177, 144, 192, 123, 171, 117, 165)(105, 153, 111, 159, 140, 188, 132, 180, 107, 155, 127, 175)(108, 156, 134, 182, 139, 187, 133, 181, 125, 173, 124, 172)(113, 161, 135, 183, 138, 186, 130, 178, 128, 176, 120, 168)(116, 164, 126, 174, 143, 191, 119, 167, 118, 166, 142, 190)
	L = (1, 100)(2, 105)(3, 110)(4, 109)(5, 116)(6, 112)(7, 97)(8, 111)(9, 114)(10, 127)(11, 98)(12, 135)(13, 137)(14, 136)(15, 141)(16, 99)(17, 134)(18, 140)(19, 126)(20, 129)(21, 142)(22, 101)(23, 117)(24, 108)(25, 103)(26, 102)(27, 118)(28, 113)(29, 120)(30, 144)(31, 104)(32, 124)(33, 143)(34, 125)(35, 107)(36, 106)(37, 128)(38, 138)(39, 139)(40, 122)(41, 121)(42, 133)(43, 130)(44, 131)(45, 132)(46, 115)(47, 123)(48, 119)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.800
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 6^16, 12^8 ]

E17.802 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 58, 10, 52, 4, 49)(3, 55, 7, 60, 12, 68, 20, 65, 17, 56, 8, 51)(6, 61, 13, 67, 19, 66, 18, 57, 9, 62, 14, 54)(15, 71, 23, 75, 27, 73, 25, 64, 16, 72, 24, 63)(21, 76, 28, 74, 26, 78, 30, 70, 22, 77, 29, 69)(31, 85, 37, 81, 33, 87, 39, 80, 32, 86, 38, 79)(34, 88, 40, 84, 36, 90, 42, 83, 35, 89, 41, 82)(43, 94, 46, 93, 45, 96, 48, 92, 44, 95, 47, 91)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 63)(56, 64)(58, 65)(59, 67)(61, 69)(62, 70)(66, 74)(68, 75)(71, 79)(72, 80)(73, 81)(76, 82)(77, 83)(78, 84)(85, 91)(86, 92)(87, 93)(88, 94)(89, 95)(90, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.803 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y2 * R * Y3, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 68, 20, 60, 12, 56, 8, 51)(6, 61, 13, 57, 9, 66, 18, 67, 19, 62, 14, 54)(16, 71, 23, 65, 17, 73, 25, 75, 27, 72, 24, 64)(21, 76, 28, 70, 22, 78, 30, 74, 26, 77, 29, 69)(31, 85, 37, 80, 32, 87, 39, 81, 33, 86, 38, 79)(34, 88, 40, 83, 35, 90, 42, 84, 36, 89, 41, 82)(43, 94, 46, 92, 44, 95, 47, 93, 45, 96, 48, 91)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 63)(59, 67)(61, 69)(62, 70)(66, 74)(68, 75)(71, 79)(72, 80)(73, 81)(76, 82)(77, 83)(78, 84)(85, 91)(86, 92)(87, 93)(88, 94)(89, 95)(90, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.804 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2 * Y1^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 60, 12, 53, 5, 49)(3, 57, 9, 52, 4, 59, 11, 63, 15, 58, 10, 51)(7, 64, 16, 56, 8, 66, 18, 61, 13, 65, 17, 55)(19, 73, 25, 68, 20, 75, 27, 69, 21, 74, 26, 67)(22, 76, 28, 71, 23, 78, 30, 72, 24, 77, 29, 70)(31, 85, 37, 80, 32, 87, 39, 81, 33, 86, 38, 79)(34, 88, 40, 83, 35, 90, 42, 84, 36, 89, 41, 82)(43, 94, 46, 92, 44, 95, 47, 93, 45, 96, 48, 91)
	L = (1, 3)(2, 7)(4, 12)(5, 8)(6, 15)(9, 19)(10, 20)(11, 21)(13, 14)(16, 22)(17, 23)(18, 24)(25, 31)(26, 32)(27, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 52)(50, 56)(51, 54)(53, 61)(55, 62)(57, 68)(58, 69)(59, 67)(60, 63)(64, 71)(65, 72)(66, 70)(73, 80)(74, 81)(75, 79)(76, 83)(77, 84)(78, 82)(85, 92)(86, 93)(87, 91)(88, 95)(89, 96)(90, 94)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.805 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^-2 * Y3 * Y1^2 * Y3, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y1^6, Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 64, 16, 53, 5, 49)(3, 57, 9, 66, 18, 84, 36, 78, 30, 59, 11, 51)(4, 60, 12, 67, 19, 86, 38, 79, 31, 61, 13, 52)(7, 68, 20, 82, 34, 80, 32, 62, 14, 70, 22, 55)(8, 71, 23, 83, 35, 81, 33, 63, 15, 72, 24, 56)(10, 69, 21, 85, 37, 94, 46, 91, 43, 75, 27, 58)(25, 88, 40, 95, 47, 92, 44, 76, 28, 90, 42, 73)(26, 87, 39, 96, 48, 93, 45, 77, 29, 89, 41, 74)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 25)(11, 28)(12, 26)(13, 29)(15, 27)(16, 30)(17, 34)(19, 37)(20, 39)(22, 41)(23, 40)(24, 42)(31, 43)(32, 45)(33, 44)(35, 46)(36, 47)(38, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 74)(59, 77)(60, 73)(61, 76)(62, 75)(64, 79)(65, 83)(66, 85)(68, 88)(70, 90)(71, 87)(72, 89)(78, 91)(80, 92)(81, 93)(82, 94)(84, 96)(86, 95)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.806 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y3 * Y1^-2)^2, (Y2 * Y1^-2)^2, Y1^6, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 64, 16, 53, 5, 49)(3, 57, 9, 73, 25, 85, 37, 66, 18, 59, 11, 51)(4, 60, 12, 79, 31, 86, 38, 67, 19, 61, 13, 52)(7, 68, 20, 62, 14, 80, 32, 82, 34, 70, 22, 55)(8, 71, 23, 63, 15, 81, 33, 83, 35, 72, 24, 56)(10, 69, 21, 84, 36, 94, 46, 91, 43, 76, 28, 58)(26, 88, 40, 77, 29, 90, 42, 95, 47, 92, 44, 74)(27, 87, 39, 78, 30, 89, 41, 96, 48, 93, 45, 75)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 25)(17, 34)(19, 36)(20, 39)(22, 41)(23, 40)(24, 42)(31, 43)(32, 45)(33, 44)(35, 46)(37, 47)(38, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 75)(59, 78)(60, 74)(61, 77)(62, 76)(64, 79)(65, 83)(66, 84)(68, 88)(70, 90)(71, 87)(72, 89)(73, 91)(80, 92)(81, 93)(82, 94)(85, 96)(86, 95)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.807 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3, Y3 * Y2 * Y3 * Y2 * Y1^-2, (Y2 * Y1^-2)^2, Y1^6, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 65, 17, 53, 5, 49)(3, 57, 9, 75, 27, 87, 39, 67, 19, 59, 11, 51)(4, 60, 12, 78, 30, 89, 41, 68, 20, 62, 14, 52)(7, 69, 21, 63, 15, 83, 35, 85, 37, 71, 23, 55)(8, 72, 24, 64, 16, 84, 36, 86, 38, 74, 26, 56)(10, 70, 22, 61, 13, 73, 25, 88, 40, 79, 31, 58)(28, 94, 46, 80, 32, 91, 43, 96, 48, 93, 45, 76)(29, 92, 44, 81, 33, 95, 47, 82, 34, 90, 42, 77)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 30)(11, 32)(12, 33)(14, 34)(16, 22)(17, 27)(18, 37)(20, 40)(21, 42)(23, 44)(24, 45)(26, 46)(29, 41)(31, 38)(35, 47)(36, 43)(39, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 77)(59, 81)(60, 76)(61, 67)(62, 80)(63, 79)(65, 78)(66, 86)(69, 91)(71, 93)(72, 90)(73, 85)(74, 92)(75, 88)(82, 87)(83, 94)(84, 95)(89, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.808 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 21, 69, 14, 62, 6, 54)(7, 55, 15, 63, 24, 72, 18, 66, 9, 57, 16, 64)(11, 59, 19, 67, 28, 76, 22, 70, 13, 61, 20, 68)(23, 71, 31, 79, 26, 74, 33, 81, 25, 73, 32, 80)(27, 75, 34, 82, 30, 78, 36, 84, 29, 77, 35, 83)(37, 85, 43, 91, 39, 87, 45, 93, 38, 86, 44, 92)(40, 88, 46, 94, 42, 90, 48, 96, 41, 89, 47, 95)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 119)(112, 121)(113, 120)(114, 122)(115, 123)(116, 125)(117, 124)(118, 126)(127, 133)(128, 134)(129, 135)(130, 136)(131, 137)(132, 138)(139, 142)(140, 143)(141, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 156)(154, 158)(159, 167)(160, 169)(161, 168)(162, 170)(163, 171)(164, 173)(165, 172)(166, 174)(175, 181)(176, 182)(177, 183)(178, 184)(179, 185)(180, 186)(187, 190)(188, 191)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.818
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.809 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 3, 51, 8, 56, 17, 65, 10, 58, 4, 52)(2, 50, 5, 53, 12, 60, 21, 69, 14, 62, 6, 54)(7, 55, 15, 63, 9, 57, 18, 66, 25, 73, 16, 64)(11, 59, 19, 67, 13, 61, 22, 70, 29, 77, 20, 68)(23, 71, 31, 79, 24, 72, 33, 81, 26, 74, 32, 80)(27, 75, 34, 82, 28, 76, 36, 84, 30, 78, 35, 83)(37, 85, 43, 91, 38, 86, 45, 93, 39, 87, 44, 92)(40, 88, 46, 94, 41, 89, 48, 96, 42, 90, 47, 95)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 119)(112, 120)(113, 121)(114, 122)(115, 123)(116, 124)(117, 125)(118, 126)(127, 133)(128, 134)(129, 135)(130, 136)(131, 137)(132, 138)(139, 142)(140, 144)(141, 143)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 158)(154, 156)(159, 167)(160, 168)(161, 169)(162, 170)(163, 171)(164, 172)(165, 173)(166, 174)(175, 181)(176, 182)(177, 183)(178, 184)(179, 185)(180, 186)(187, 190)(188, 192)(189, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.819
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.810 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^4 * Y2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 9, 57, 15, 63, 6, 54, 5, 53)(2, 50, 7, 55, 14, 62, 10, 58, 3, 51, 8, 56)(11, 59, 19, 67, 13, 61, 21, 69, 12, 60, 20, 68)(16, 64, 22, 70, 18, 66, 24, 72, 17, 65, 23, 71)(25, 73, 31, 79, 27, 75, 33, 81, 26, 74, 32, 80)(28, 76, 34, 82, 30, 78, 36, 84, 29, 77, 35, 83)(37, 85, 43, 91, 39, 87, 45, 93, 38, 86, 44, 92)(40, 88, 46, 94, 42, 90, 48, 96, 41, 89, 47, 95)(97, 98)(99, 105)(100, 107)(101, 109)(102, 110)(103, 112)(104, 114)(106, 113)(108, 111)(115, 121)(116, 123)(117, 122)(118, 124)(119, 126)(120, 125)(127, 133)(128, 135)(129, 134)(130, 136)(131, 138)(132, 137)(139, 142)(140, 144)(141, 143)(145, 147)(146, 150)(148, 156)(149, 155)(151, 161)(152, 160)(153, 158)(154, 162)(157, 159)(163, 170)(164, 169)(165, 171)(166, 173)(167, 172)(168, 174)(175, 182)(176, 181)(177, 183)(178, 185)(179, 184)(180, 186)(187, 191)(188, 190)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.820
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.811 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3^2 * Y2 * Y3^-2 * Y2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 40, 88, 24, 72, 8, 56)(3, 51, 9, 57, 25, 73, 43, 91, 26, 74, 10, 58)(6, 54, 17, 65, 34, 82, 46, 94, 35, 83, 18, 66)(11, 59, 27, 75, 44, 92, 32, 80, 14, 62, 28, 76)(12, 60, 29, 77, 45, 93, 33, 81, 15, 63, 30, 78)(19, 67, 36, 84, 47, 95, 41, 89, 22, 70, 37, 85)(20, 68, 38, 86, 48, 96, 42, 90, 23, 71, 39, 87)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 117)(111, 114)(112, 120)(121, 130)(122, 131)(123, 134)(124, 135)(125, 132)(126, 133)(127, 140)(128, 138)(129, 137)(136, 143)(139, 144)(141, 142)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 169)(158, 162)(160, 170)(165, 178)(168, 179)(171, 180)(172, 181)(173, 182)(174, 183)(175, 189)(176, 185)(177, 186)(184, 192)(187, 191)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.821
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.812 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 40, 88, 24, 72, 8, 56)(3, 51, 9, 57, 25, 73, 43, 91, 26, 74, 10, 58)(6, 54, 17, 65, 34, 82, 46, 94, 35, 83, 18, 66)(11, 59, 27, 75, 14, 62, 32, 80, 44, 92, 28, 76)(12, 60, 29, 77, 15, 63, 33, 81, 45, 93, 30, 78)(19, 67, 36, 84, 22, 70, 41, 89, 47, 95, 37, 85)(20, 68, 38, 86, 23, 71, 42, 90, 48, 96, 39, 87)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 131)(122, 130)(123, 134)(124, 138)(125, 132)(126, 137)(127, 140)(128, 135)(129, 133)(136, 143)(139, 144)(141, 142)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 170)(158, 162)(160, 169)(165, 179)(168, 178)(171, 180)(172, 185)(173, 182)(174, 186)(175, 189)(176, 181)(177, 183)(184, 192)(187, 191)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.822
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.813 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y1, (Y3^-2 * Y1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1, (Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y3)^2, Y3^6, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-2 * Y2 * Y1)^2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 34, 82, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 44, 92, 26, 74, 8, 56)(3, 51, 10, 58, 29, 77, 37, 85, 18, 66, 11, 59)(6, 54, 19, 67, 39, 87, 27, 75, 9, 57, 20, 68)(12, 60, 30, 78, 15, 63, 35, 83, 47, 95, 31, 79)(13, 61, 32, 80, 16, 64, 36, 84, 38, 86, 33, 81)(21, 69, 40, 88, 24, 72, 45, 93, 48, 96, 41, 89)(22, 70, 42, 90, 25, 73, 46, 94, 28, 76, 43, 91)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 124)(107, 118)(109, 116)(110, 122)(112, 123)(113, 119)(115, 134)(121, 133)(125, 135)(126, 142)(127, 139)(128, 141)(129, 137)(130, 143)(131, 138)(132, 136)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 167)(154, 165)(155, 168)(156, 163)(158, 162)(159, 164)(161, 173)(170, 183)(171, 191)(172, 188)(174, 185)(175, 184)(176, 190)(177, 187)(178, 182)(179, 189)(180, 186)(181, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.823
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.814 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 3, 51)(2, 50, 6, 54)(4, 52, 9, 57)(5, 53, 12, 60)(7, 55, 16, 64)(8, 56, 17, 65)(10, 58, 15, 63)(11, 59, 19, 67)(13, 61, 21, 69)(14, 62, 22, 70)(18, 66, 26, 74)(20, 68, 27, 75)(23, 71, 31, 79)(24, 72, 32, 80)(25, 73, 33, 81)(28, 76, 34, 82)(29, 77, 35, 83)(30, 78, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 98, 101, 107, 106, 100)(99, 103, 111, 116, 108, 104)(102, 109, 105, 114, 115, 110)(112, 119, 113, 121, 123, 120)(117, 124, 118, 126, 122, 125)(127, 133, 128, 135, 129, 134)(130, 136, 131, 138, 132, 137)(139, 142, 140, 143, 141, 144)(145, 146, 149, 155, 154, 148)(147, 151, 159, 164, 156, 152)(150, 157, 153, 162, 163, 158)(160, 167, 161, 169, 171, 168)(165, 172, 166, 174, 170, 173)(175, 181, 176, 183, 177, 182)(178, 184, 179, 186, 180, 185)(187, 190, 188, 191, 189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.824
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.815 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-2)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4 * Y1^-2, Y1^6, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 13, 61)(5, 53, 20, 68)(6, 54, 22, 70)(7, 55, 24, 72)(8, 56, 27, 75)(10, 58, 34, 82)(11, 59, 29, 77)(12, 60, 37, 85)(14, 62, 41, 89)(15, 63, 28, 76)(16, 64, 36, 84)(17, 65, 26, 74)(18, 66, 35, 83)(19, 67, 39, 87)(21, 69, 31, 79)(23, 71, 42, 90)(25, 73, 45, 93)(30, 78, 47, 95)(32, 80, 46, 94)(33, 81, 44, 92)(38, 86, 48, 96)(40, 88, 43, 91)(97, 98, 103, 119, 108, 101)(99, 107, 102, 117, 121, 110)(100, 111, 133, 140, 120, 113)(104, 122, 106, 129, 115, 124)(105, 125, 116, 137, 138, 127)(109, 134, 141, 126, 118, 128)(112, 123, 114, 135, 139, 130)(131, 142, 132, 143, 136, 144)(145, 147, 156, 169, 151, 150)(146, 152, 149, 163, 167, 154)(148, 160, 168, 187, 181, 162)(153, 174, 186, 182, 164, 176)(155, 179, 158, 184, 165, 180)(157, 171, 166, 178, 189, 183)(159, 173, 161, 175, 188, 185)(170, 190, 172, 192, 177, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.825
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.816 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1^3 * Y2^-3, Y3 * Y2^2 * Y3 * Y1^-2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 17, 65)(10, 58, 18, 66)(11, 59, 19, 67)(13, 61, 21, 69)(14, 62, 22, 70)(16, 64, 23, 71)(20, 68, 27, 75)(24, 72, 31, 79)(25, 73, 32, 80)(26, 74, 33, 81)(28, 76, 34, 82)(29, 77, 35, 83)(30, 78, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 98, 101, 107, 103, 99)(100, 105, 111, 116, 108, 106)(102, 109, 104, 112, 115, 110)(113, 120, 114, 122, 123, 121)(117, 124, 118, 126, 119, 125)(127, 133, 128, 135, 129, 134)(130, 136, 131, 138, 132, 137)(139, 142, 140, 143, 141, 144)(145, 147, 151, 155, 149, 146)(148, 154, 156, 164, 159, 153)(150, 158, 163, 160, 152, 157)(161, 169, 171, 170, 162, 168)(165, 173, 167, 174, 166, 172)(175, 182, 177, 183, 176, 181)(178, 185, 180, 186, 179, 184)(187, 192, 189, 191, 188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.826
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.817 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y1^-1, Y2), R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1^6, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 107, 101)(99, 104, 102, 106, 118, 109)(100, 110, 125, 135, 117, 112)(105, 120, 114, 127, 133, 122)(108, 126, 136, 121, 115, 123)(111, 119, 113, 128, 134, 124)(129, 140, 131, 138, 144, 141)(130, 139, 143, 142, 132, 137)(145, 147, 155, 166, 151, 150)(146, 152, 149, 157, 164, 154)(148, 159, 165, 182, 173, 161)(153, 169, 181, 174, 162, 171)(156, 168, 163, 170, 184, 175)(158, 167, 160, 172, 183, 176)(177, 190, 192, 187, 179, 185)(178, 188, 180, 189, 191, 186)
	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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.827
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.818 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 21, 69, 117, 165, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 24, 72, 120, 168, 18, 66, 114, 162, 9, 57, 105, 153, 16, 64, 112, 160)(11, 59, 107, 155, 19, 67, 115, 163, 28, 76, 124, 172, 22, 70, 118, 166, 13, 61, 109, 157, 20, 68, 116, 164)(23, 71, 119, 167, 31, 79, 127, 175, 26, 74, 122, 170, 33, 81, 129, 177, 25, 73, 121, 169, 32, 80, 128, 176)(27, 75, 123, 171, 34, 82, 130, 178, 30, 78, 126, 174, 36, 84, 132, 180, 29, 77, 125, 173, 35, 83, 131, 179)(37, 85, 133, 181, 43, 91, 139, 187, 39, 87, 135, 183, 45, 93, 141, 189, 38, 86, 134, 182, 44, 92, 140, 188)(40, 88, 136, 184, 46, 94, 142, 190, 42, 90, 138, 186, 48, 96, 144, 192, 41, 89, 137, 185, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 60)(9, 52)(10, 62)(11, 53)(12, 56)(13, 54)(14, 58)(15, 71)(16, 73)(17, 72)(18, 74)(19, 75)(20, 77)(21, 76)(22, 78)(23, 63)(24, 65)(25, 64)(26, 66)(27, 67)(28, 69)(29, 68)(30, 70)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(43, 94)(44, 95)(45, 96)(46, 91)(47, 92)(48, 93)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 156)(105, 148)(106, 158)(107, 149)(108, 152)(109, 150)(110, 154)(111, 167)(112, 169)(113, 168)(114, 170)(115, 171)(116, 173)(117, 172)(118, 174)(119, 159)(120, 161)(121, 160)(122, 162)(123, 163)(124, 165)(125, 164)(126, 166)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 175)(134, 176)(135, 177)(136, 178)(137, 179)(138, 180)(139, 190)(140, 191)(141, 192)(142, 187)(143, 188)(144, 189)
	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 E17.808
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.819 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 17, 65, 113, 161, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 21, 69, 117, 165, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 9, 57, 105, 153, 18, 66, 114, 162, 25, 73, 121, 169, 16, 64, 112, 160)(11, 59, 107, 155, 19, 67, 115, 163, 13, 61, 109, 157, 22, 70, 118, 166, 29, 77, 125, 173, 20, 68, 116, 164)(23, 71, 119, 167, 31, 79, 127, 175, 24, 72, 120, 168, 33, 81, 129, 177, 26, 74, 122, 170, 32, 80, 128, 176)(27, 75, 123, 171, 34, 82, 130, 178, 28, 76, 124, 172, 36, 84, 132, 180, 30, 78, 126, 174, 35, 83, 131, 179)(37, 85, 133, 181, 43, 91, 139, 187, 38, 86, 134, 182, 45, 93, 141, 189, 39, 87, 135, 183, 44, 92, 140, 188)(40, 88, 136, 184, 46, 94, 142, 190, 41, 89, 137, 185, 48, 96, 144, 192, 42, 90, 138, 186, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 55)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 52)(10, 60)(11, 53)(12, 58)(13, 54)(14, 56)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 63)(24, 64)(25, 65)(26, 66)(27, 67)(28, 68)(29, 69)(30, 70)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 79)(38, 80)(39, 81)(40, 82)(41, 83)(42, 84)(43, 94)(44, 96)(45, 95)(46, 91)(47, 93)(48, 92)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 158)(105, 148)(106, 156)(107, 149)(108, 154)(109, 150)(110, 152)(111, 167)(112, 168)(113, 169)(114, 170)(115, 171)(116, 172)(117, 173)(118, 174)(119, 159)(120, 160)(121, 161)(122, 162)(123, 163)(124, 164)(125, 165)(126, 166)(127, 181)(128, 182)(129, 183)(130, 184)(131, 185)(132, 186)(133, 175)(134, 176)(135, 177)(136, 178)(137, 179)(138, 180)(139, 190)(140, 192)(141, 191)(142, 187)(143, 189)(144, 188)
	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 E17.809
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.820 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^-2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^4 * Y2, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 9, 57, 105, 153, 15, 63, 111, 159, 6, 54, 102, 150, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 14, 62, 110, 158, 10, 58, 106, 154, 3, 51, 99, 147, 8, 56, 104, 152)(11, 59, 107, 155, 19, 67, 115, 163, 13, 61, 109, 157, 21, 69, 117, 165, 12, 60, 108, 156, 20, 68, 116, 164)(16, 64, 112, 160, 22, 70, 118, 166, 18, 66, 114, 162, 24, 72, 120, 168, 17, 65, 113, 161, 23, 71, 119, 167)(25, 73, 121, 169, 31, 79, 127, 175, 27, 75, 123, 171, 33, 81, 129, 177, 26, 74, 122, 170, 32, 80, 128, 176)(28, 76, 124, 172, 34, 82, 130, 178, 30, 78, 126, 174, 36, 84, 132, 180, 29, 77, 125, 173, 35, 83, 131, 179)(37, 85, 133, 181, 43, 91, 139, 187, 39, 87, 135, 183, 45, 93, 141, 189, 38, 86, 134, 182, 44, 92, 140, 188)(40, 88, 136, 184, 46, 94, 142, 190, 42, 90, 138, 186, 48, 96, 144, 192, 41, 89, 137, 185, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 61)(6, 62)(7, 64)(8, 66)(9, 51)(10, 65)(11, 52)(12, 63)(13, 53)(14, 54)(15, 60)(16, 55)(17, 58)(18, 56)(19, 73)(20, 75)(21, 74)(22, 76)(23, 78)(24, 77)(25, 67)(26, 69)(27, 68)(28, 70)(29, 72)(30, 71)(31, 85)(32, 87)(33, 86)(34, 88)(35, 90)(36, 89)(37, 79)(38, 81)(39, 80)(40, 82)(41, 84)(42, 83)(43, 94)(44, 96)(45, 95)(46, 91)(47, 93)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 155)(102, 146)(103, 161)(104, 160)(105, 158)(106, 162)(107, 149)(108, 148)(109, 159)(110, 153)(111, 157)(112, 152)(113, 151)(114, 154)(115, 170)(116, 169)(117, 171)(118, 173)(119, 172)(120, 174)(121, 164)(122, 163)(123, 165)(124, 167)(125, 166)(126, 168)(127, 182)(128, 181)(129, 183)(130, 185)(131, 184)(132, 186)(133, 176)(134, 175)(135, 177)(136, 179)(137, 178)(138, 180)(139, 191)(140, 190)(141, 192)(142, 188)(143, 187)(144, 189)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.810
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.821 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y1 * Y2)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, Y3^6, Y3^2 * Y2 * Y3^-2 * Y2, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 40, 88, 136, 184, 24, 72, 120, 168, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 43, 91, 139, 187, 26, 74, 122, 170, 10, 58, 106, 154)(6, 54, 102, 150, 17, 65, 113, 161, 34, 82, 130, 178, 46, 94, 142, 190, 35, 83, 131, 179, 18, 66, 114, 162)(11, 59, 107, 155, 27, 75, 123, 171, 44, 92, 140, 188, 32, 80, 128, 176, 14, 62, 110, 158, 28, 76, 124, 172)(12, 60, 108, 156, 29, 77, 125, 173, 45, 93, 141, 189, 33, 81, 129, 177, 15, 63, 111, 159, 30, 78, 126, 174)(19, 67, 115, 163, 36, 84, 132, 180, 47, 95, 143, 191, 41, 89, 137, 185, 22, 70, 118, 166, 37, 85, 133, 181)(20, 68, 116, 164, 38, 86, 134, 182, 48, 96, 144, 192, 42, 90, 138, 186, 23, 71, 119, 167, 39, 87, 135, 183)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 69)(14, 53)(15, 66)(16, 72)(17, 60)(18, 63)(19, 55)(20, 57)(21, 61)(22, 56)(23, 58)(24, 64)(25, 82)(26, 83)(27, 86)(28, 87)(29, 84)(30, 85)(31, 92)(32, 90)(33, 89)(34, 73)(35, 74)(36, 77)(37, 78)(38, 75)(39, 76)(40, 95)(41, 81)(42, 80)(43, 96)(44, 79)(45, 94)(46, 93)(47, 88)(48, 91)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 169)(110, 162)(111, 149)(112, 170)(113, 155)(114, 158)(115, 153)(116, 151)(117, 178)(118, 154)(119, 152)(120, 179)(121, 157)(122, 160)(123, 180)(124, 181)(125, 182)(126, 183)(127, 189)(128, 185)(129, 186)(130, 165)(131, 168)(132, 171)(133, 172)(134, 173)(135, 174)(136, 192)(137, 176)(138, 177)(139, 191)(140, 190)(141, 175)(142, 188)(143, 187)(144, 184)
	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 E17.811
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.822 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 40, 88, 136, 184, 24, 72, 120, 168, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 43, 91, 139, 187, 26, 74, 122, 170, 10, 58, 106, 154)(6, 54, 102, 150, 17, 65, 113, 161, 34, 82, 130, 178, 46, 94, 142, 190, 35, 83, 131, 179, 18, 66, 114, 162)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 32, 80, 128, 176, 44, 92, 140, 188, 28, 76, 124, 172)(12, 60, 108, 156, 29, 77, 125, 173, 15, 63, 111, 159, 33, 81, 129, 177, 45, 93, 141, 189, 30, 78, 126, 174)(19, 67, 115, 163, 36, 84, 132, 180, 22, 70, 118, 166, 41, 89, 137, 185, 47, 95, 143, 191, 37, 85, 133, 181)(20, 68, 116, 164, 38, 86, 134, 182, 23, 71, 119, 167, 42, 90, 138, 186, 48, 96, 144, 192, 39, 87, 135, 183)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 83)(26, 82)(27, 86)(28, 90)(29, 84)(30, 89)(31, 92)(32, 87)(33, 85)(34, 74)(35, 73)(36, 77)(37, 81)(38, 75)(39, 80)(40, 95)(41, 78)(42, 76)(43, 96)(44, 79)(45, 94)(46, 93)(47, 88)(48, 91)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 170)(110, 162)(111, 149)(112, 169)(113, 155)(114, 158)(115, 153)(116, 151)(117, 179)(118, 154)(119, 152)(120, 178)(121, 160)(122, 157)(123, 180)(124, 185)(125, 182)(126, 186)(127, 189)(128, 181)(129, 183)(130, 168)(131, 165)(132, 171)(133, 176)(134, 173)(135, 177)(136, 192)(137, 172)(138, 174)(139, 191)(140, 190)(141, 175)(142, 188)(143, 187)(144, 184)
	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 E17.812
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.823 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y1, (Y3^-2 * Y1)^2, Y3^2 * Y2 * Y1 * Y2 * Y1, (Y1 * Y3 * Y2)^2, (Y3 * Y2 * Y3)^2, Y3^6, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y1, (Y3^-2 * Y2 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 34, 82, 130, 178, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 44, 92, 140, 188, 26, 74, 122, 170, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 29, 77, 125, 173, 37, 85, 133, 181, 18, 66, 114, 162, 11, 59, 107, 155)(6, 54, 102, 150, 19, 67, 115, 163, 39, 87, 135, 183, 27, 75, 123, 171, 9, 57, 105, 153, 20, 68, 116, 164)(12, 60, 108, 156, 30, 78, 126, 174, 15, 63, 111, 159, 35, 83, 131, 179, 47, 95, 143, 191, 31, 79, 127, 175)(13, 61, 109, 157, 32, 80, 128, 176, 16, 64, 112, 160, 36, 84, 132, 180, 38, 86, 134, 182, 33, 81, 129, 177)(21, 69, 117, 165, 40, 88, 136, 184, 24, 72, 120, 168, 45, 93, 141, 189, 48, 96, 144, 192, 41, 89, 137, 185)(22, 70, 118, 166, 42, 90, 138, 186, 25, 73, 121, 169, 46, 94, 142, 190, 28, 76, 124, 172, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 76)(11, 70)(12, 52)(13, 68)(14, 74)(15, 53)(16, 75)(17, 71)(18, 54)(19, 86)(20, 61)(21, 55)(22, 59)(23, 65)(24, 56)(25, 85)(26, 62)(27, 64)(28, 58)(29, 87)(30, 94)(31, 91)(32, 93)(33, 89)(34, 95)(35, 90)(36, 88)(37, 73)(38, 67)(39, 77)(40, 84)(41, 81)(42, 83)(43, 79)(44, 96)(45, 80)(46, 78)(47, 82)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 167)(106, 165)(107, 168)(108, 163)(109, 148)(110, 162)(111, 164)(112, 149)(113, 173)(114, 158)(115, 156)(116, 159)(117, 154)(118, 151)(119, 153)(120, 155)(121, 152)(122, 183)(123, 191)(124, 188)(125, 161)(126, 185)(127, 184)(128, 190)(129, 187)(130, 182)(131, 189)(132, 186)(133, 192)(134, 178)(135, 170)(136, 175)(137, 174)(138, 180)(139, 177)(140, 172)(141, 179)(142, 176)(143, 171)(144, 181)
	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 E17.813
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.824 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3^2, R^2, Y2^-1 * Y1, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2^-1)^2, Y1^6, Y2^6, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 3, 51, 99, 147)(2, 50, 98, 146, 6, 54, 102, 150)(4, 52, 100, 148, 9, 57, 105, 153)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 16, 64, 112, 160)(8, 56, 104, 152, 17, 65, 113, 161)(10, 58, 106, 154, 15, 63, 111, 159)(11, 59, 107, 155, 19, 67, 115, 163)(13, 61, 109, 157, 21, 69, 117, 165)(14, 62, 110, 158, 22, 70, 118, 166)(18, 66, 114, 162, 26, 74, 122, 170)(20, 68, 116, 164, 27, 75, 123, 171)(23, 71, 119, 167, 31, 79, 127, 175)(24, 72, 120, 168, 32, 80, 128, 176)(25, 73, 121, 169, 33, 81, 129, 177)(28, 76, 124, 172, 34, 82, 130, 178)(29, 77, 125, 173, 35, 83, 131, 179)(30, 78, 126, 174, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187)(38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 55)(4, 49)(5, 59)(6, 61)(7, 63)(8, 51)(9, 66)(10, 52)(11, 58)(12, 56)(13, 57)(14, 54)(15, 68)(16, 71)(17, 73)(18, 67)(19, 62)(20, 60)(21, 76)(22, 78)(23, 65)(24, 64)(25, 75)(26, 77)(27, 72)(28, 70)(29, 69)(30, 74)(31, 85)(32, 87)(33, 86)(34, 88)(35, 90)(36, 89)(37, 80)(38, 79)(39, 81)(40, 83)(41, 82)(42, 84)(43, 94)(44, 95)(45, 96)(46, 92)(47, 93)(48, 91)(97, 146)(98, 149)(99, 151)(100, 145)(101, 155)(102, 157)(103, 159)(104, 147)(105, 162)(106, 148)(107, 154)(108, 152)(109, 153)(110, 150)(111, 164)(112, 167)(113, 169)(114, 163)(115, 158)(116, 156)(117, 172)(118, 174)(119, 161)(120, 160)(121, 171)(122, 173)(123, 168)(124, 166)(125, 165)(126, 170)(127, 181)(128, 183)(129, 182)(130, 184)(131, 186)(132, 185)(133, 176)(134, 175)(135, 177)(136, 179)(137, 178)(138, 180)(139, 190)(140, 191)(141, 192)(142, 188)(143, 189)(144, 187)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.814
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.825 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (D8 x S3) : C2 (small group id <96, 118>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1^-2)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y2^4 * Y1^-2, Y1^6, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 13, 61, 109, 157)(5, 53, 101, 149, 20, 68, 116, 164)(6, 54, 102, 150, 22, 70, 118, 166)(7, 55, 103, 151, 24, 72, 120, 168)(8, 56, 104, 152, 27, 75, 123, 171)(10, 58, 106, 154, 34, 82, 130, 178)(11, 59, 107, 155, 29, 77, 125, 173)(12, 60, 108, 156, 37, 85, 133, 181)(14, 62, 110, 158, 41, 89, 137, 185)(15, 63, 111, 159, 28, 76, 124, 172)(16, 64, 112, 160, 36, 84, 132, 180)(17, 65, 113, 161, 26, 74, 122, 170)(18, 66, 114, 162, 35, 83, 131, 179)(19, 67, 115, 163, 39, 87, 135, 183)(21, 69, 117, 165, 31, 79, 127, 175)(23, 71, 119, 167, 42, 90, 138, 186)(25, 73, 121, 169, 45, 93, 141, 189)(30, 78, 126, 174, 47, 95, 143, 191)(32, 80, 128, 176, 46, 94, 142, 190)(33, 81, 129, 177, 44, 92, 140, 188)(38, 86, 134, 182, 48, 96, 144, 192)(40, 88, 136, 184, 43, 91, 139, 187)
	L = (1, 50)(2, 55)(3, 59)(4, 63)(5, 49)(6, 69)(7, 71)(8, 74)(9, 77)(10, 81)(11, 54)(12, 53)(13, 86)(14, 51)(15, 85)(16, 75)(17, 52)(18, 87)(19, 76)(20, 89)(21, 73)(22, 80)(23, 60)(24, 65)(25, 62)(26, 58)(27, 66)(28, 56)(29, 68)(30, 70)(31, 57)(32, 61)(33, 67)(34, 64)(35, 94)(36, 95)(37, 92)(38, 93)(39, 91)(40, 96)(41, 90)(42, 79)(43, 82)(44, 72)(45, 78)(46, 84)(47, 88)(48, 83)(97, 147)(98, 152)(99, 156)(100, 160)(101, 163)(102, 145)(103, 150)(104, 149)(105, 174)(106, 146)(107, 179)(108, 169)(109, 171)(110, 184)(111, 173)(112, 168)(113, 175)(114, 148)(115, 167)(116, 176)(117, 180)(118, 178)(119, 154)(120, 187)(121, 151)(122, 190)(123, 166)(124, 192)(125, 161)(126, 186)(127, 188)(128, 153)(129, 191)(130, 189)(131, 158)(132, 155)(133, 162)(134, 164)(135, 157)(136, 165)(137, 159)(138, 182)(139, 181)(140, 185)(141, 183)(142, 172)(143, 170)(144, 177)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.815
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.826 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1^3 * Y2^-3, Y3 * Y2^2 * Y3 * Y1^-2, Y1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 15, 63, 111, 159)(9, 57, 105, 153, 17, 65, 113, 161)(10, 58, 106, 154, 18, 66, 114, 162)(11, 59, 107, 155, 19, 67, 115, 163)(13, 61, 109, 157, 21, 69, 117, 165)(14, 62, 110, 158, 22, 70, 118, 166)(16, 64, 112, 160, 23, 71, 119, 167)(20, 68, 116, 164, 27, 75, 123, 171)(24, 72, 120, 168, 31, 79, 127, 175)(25, 73, 121, 169, 32, 80, 128, 176)(26, 74, 122, 170, 33, 81, 129, 177)(28, 76, 124, 172, 34, 82, 130, 178)(29, 77, 125, 173, 35, 83, 131, 179)(30, 78, 126, 174, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187)(38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 63)(10, 52)(11, 55)(12, 58)(13, 56)(14, 54)(15, 68)(16, 67)(17, 72)(18, 74)(19, 62)(20, 60)(21, 76)(22, 78)(23, 77)(24, 66)(25, 65)(26, 75)(27, 73)(28, 70)(29, 69)(30, 71)(31, 85)(32, 87)(33, 86)(34, 88)(35, 90)(36, 89)(37, 80)(38, 79)(39, 81)(40, 83)(41, 82)(42, 84)(43, 94)(44, 95)(45, 96)(46, 92)(47, 93)(48, 91)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 155)(104, 157)(105, 148)(106, 156)(107, 149)(108, 164)(109, 150)(110, 163)(111, 153)(112, 152)(113, 169)(114, 168)(115, 160)(116, 159)(117, 173)(118, 172)(119, 174)(120, 161)(121, 171)(122, 162)(123, 170)(124, 165)(125, 167)(126, 166)(127, 182)(128, 181)(129, 183)(130, 185)(131, 184)(132, 186)(133, 175)(134, 177)(135, 176)(136, 178)(137, 180)(138, 179)(139, 192)(140, 190)(141, 191)(142, 187)(143, 188)(144, 189)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.816
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.827 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (Y1^-1, Y2), R * Y1 * R * Y2, (R * Y3)^2, Y2^6, Y1^6, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 77)(15, 71)(16, 52)(17, 80)(18, 79)(19, 75)(20, 59)(21, 64)(22, 61)(23, 65)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 87)(30, 88)(31, 85)(32, 86)(33, 92)(34, 91)(35, 90)(36, 89)(37, 74)(38, 76)(39, 69)(40, 73)(41, 82)(42, 96)(43, 95)(44, 83)(45, 81)(46, 84)(47, 94)(48, 93)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 166)(108, 168)(109, 164)(110, 167)(111, 165)(112, 172)(113, 148)(114, 171)(115, 170)(116, 154)(117, 182)(118, 151)(119, 160)(120, 163)(121, 181)(122, 184)(123, 153)(124, 183)(125, 161)(126, 162)(127, 156)(128, 158)(129, 190)(130, 188)(131, 185)(132, 189)(133, 174)(134, 173)(135, 176)(136, 175)(137, 177)(138, 178)(139, 179)(140, 180)(141, 191)(142, 192)(143, 186)(144, 187)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.817
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.828 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, (Y3 * Y2^-1)^6, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 23, 71)(16, 64, 25, 73)(17, 65, 24, 72)(18, 66, 26, 74)(19, 67, 27, 75)(20, 68, 29, 77)(21, 69, 28, 76)(22, 70, 30, 78)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 104, 152, 113, 161, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 117, 165, 110, 158, 102, 150)(103, 151, 111, 159, 120, 168, 114, 162, 105, 153, 112, 160)(107, 155, 115, 163, 124, 172, 118, 166, 109, 157, 116, 164)(119, 167, 127, 175, 122, 170, 129, 177, 121, 169, 128, 176)(123, 171, 130, 178, 126, 174, 132, 180, 125, 173, 131, 179)(133, 181, 139, 187, 135, 183, 141, 189, 134, 182, 140, 188)(136, 184, 142, 190, 138, 186, 144, 192, 137, 185, 143, 191)
	L = (1, 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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.829 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, (Y3 * Y2^-1)^6, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 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, 23, 71)(16, 64, 24, 72)(17, 65, 25, 73)(18, 66, 26, 74)(19, 67, 27, 75)(20, 68, 28, 76)(21, 69, 29, 77)(22, 70, 30, 78)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 42, 90)(43, 91, 46, 94)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 104, 152, 113, 161, 106, 154, 100, 148)(98, 146, 101, 149, 108, 156, 117, 165, 110, 158, 102, 150)(103, 151, 111, 159, 105, 153, 114, 162, 121, 169, 112, 160)(107, 155, 115, 163, 109, 157, 118, 166, 125, 173, 116, 164)(119, 167, 127, 175, 120, 168, 129, 177, 122, 170, 128, 176)(123, 171, 130, 178, 124, 172, 132, 180, 126, 174, 131, 179)(133, 181, 139, 187, 134, 182, 141, 189, 135, 183, 140, 188)(136, 184, 142, 190, 137, 185, 144, 192, 138, 186, 143, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.830 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 20, 68)(17, 65, 30, 78)(18, 66, 34, 82)(21, 69, 37, 85)(23, 71, 41, 89)(24, 72, 38, 86)(25, 73, 33, 81)(27, 75, 35, 83)(28, 76, 44, 92)(29, 77, 39, 87)(31, 79, 40, 88)(32, 80, 45, 93)(36, 84, 43, 91)(42, 90, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 120, 168, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 138, 186, 123, 171, 108, 156)(103, 151, 113, 161, 129, 177, 142, 190, 131, 179, 114, 162)(105, 153, 117, 165, 134, 182, 124, 172, 109, 157, 119, 167)(111, 159, 125, 173, 141, 189, 132, 180, 115, 163, 127, 175)(118, 166, 135, 183, 144, 192, 139, 187, 122, 170, 136, 184)(126, 174, 133, 181, 143, 191, 140, 188, 130, 178, 137, 185)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 126)(16, 129)(17, 102)(18, 104)(19, 130)(20, 131)(21, 135)(22, 105)(23, 136)(24, 138)(25, 106)(26, 109)(27, 110)(28, 139)(29, 133)(30, 111)(31, 137)(32, 142)(33, 112)(34, 115)(35, 116)(36, 140)(37, 125)(38, 144)(39, 117)(40, 119)(41, 127)(42, 120)(43, 124)(44, 132)(45, 143)(46, 128)(47, 141)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.831 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, (Y1 * Y2^-2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 16, 64)(17, 65, 30, 78)(18, 66, 34, 82)(21, 69, 37, 85)(23, 71, 40, 88)(24, 72, 41, 89)(25, 73, 35, 83)(27, 75, 33, 81)(28, 76, 44, 92)(29, 77, 38, 86)(31, 79, 43, 91)(32, 80, 45, 93)(36, 84, 39, 87)(42, 90, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 120, 168, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 138, 186, 123, 171, 108, 156)(103, 151, 113, 161, 129, 177, 142, 190, 131, 179, 114, 162)(105, 153, 117, 165, 109, 157, 124, 172, 137, 185, 119, 167)(111, 159, 125, 173, 115, 163, 132, 180, 141, 189, 127, 175)(118, 166, 134, 182, 122, 170, 139, 187, 143, 191, 135, 183)(126, 174, 133, 181, 130, 178, 136, 184, 144, 192, 140, 188)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 126)(16, 129)(17, 102)(18, 104)(19, 130)(20, 131)(21, 134)(22, 105)(23, 135)(24, 138)(25, 106)(26, 109)(27, 110)(28, 139)(29, 133)(30, 111)(31, 140)(32, 142)(33, 112)(34, 115)(35, 116)(36, 136)(37, 125)(38, 117)(39, 119)(40, 132)(41, 143)(42, 120)(43, 124)(44, 127)(45, 144)(46, 128)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2, Y3^3, (R * Y1)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 13, 61)(6, 54, 8, 56)(7, 55, 14, 62)(9, 57, 16, 64)(12, 60, 19, 67)(15, 63, 23, 71)(17, 65, 25, 73)(18, 66, 26, 74)(20, 68, 27, 75)(21, 69, 28, 76)(22, 70, 29, 77)(24, 72, 30, 78)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(35, 83, 41, 89)(36, 84, 42, 90)(43, 91, 46, 94)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 100, 148, 108, 156, 102, 150, 101, 149)(98, 146, 103, 151, 104, 152, 111, 159, 106, 154, 105, 153)(107, 155, 113, 161, 109, 157, 116, 164, 115, 163, 114, 162)(110, 158, 117, 165, 112, 160, 120, 168, 119, 167, 118, 166)(121, 169, 127, 175, 122, 170, 129, 177, 123, 171, 128, 176)(124, 172, 130, 178, 125, 173, 132, 180, 126, 174, 131, 179)(133, 181, 139, 187, 134, 182, 141, 189, 135, 183, 140, 188)(136, 184, 142, 190, 137, 185, 144, 192, 138, 186, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 102)(5, 99)(6, 97)(7, 111)(8, 106)(9, 103)(10, 98)(11, 109)(12, 101)(13, 115)(14, 112)(15, 105)(16, 119)(17, 116)(18, 113)(19, 107)(20, 114)(21, 120)(22, 117)(23, 110)(24, 118)(25, 122)(26, 123)(27, 121)(28, 125)(29, 126)(30, 124)(31, 129)(32, 127)(33, 128)(34, 132)(35, 130)(36, 131)(37, 134)(38, 135)(39, 133)(40, 137)(41, 138)(42, 136)(43, 141)(44, 139)(45, 140)(46, 144)(47, 142)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = (C3 x D8) : C2 (small group id <48, 15>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-2 * Y2^-1, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3^-1 * Y1)^2, Y3^-2 * Y2^4, Y3 * Y2^-1 * Y1 * Y3^-3 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 24, 72)(12, 60, 22, 70)(13, 61, 28, 76)(14, 62, 26, 74)(15, 63, 19, 67)(16, 64, 31, 79)(20, 68, 36, 84)(21, 69, 34, 82)(23, 71, 39, 87)(25, 73, 41, 89)(27, 75, 46, 94)(29, 77, 44, 92)(30, 78, 38, 86)(32, 80, 47, 95)(33, 81, 45, 93)(35, 83, 42, 90)(37, 85, 48, 96)(40, 88, 43, 91)(97, 145, 99, 147, 108, 156, 125, 173, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 133, 181, 118, 166, 105, 153)(100, 148, 109, 157, 102, 150, 110, 158, 126, 174, 112, 160)(104, 152, 116, 164, 106, 154, 117, 165, 134, 182, 119, 167)(107, 155, 121, 169, 113, 161, 128, 176, 140, 188, 123, 171)(114, 162, 129, 177, 120, 168, 136, 184, 144, 192, 131, 179)(122, 170, 138, 186, 124, 172, 139, 187, 127, 175, 141, 189)(130, 178, 142, 190, 132, 180, 143, 191, 135, 183, 137, 185)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 122)(12, 102)(13, 101)(14, 99)(15, 126)(16, 125)(17, 124)(18, 130)(19, 106)(20, 105)(21, 103)(22, 134)(23, 133)(24, 132)(25, 138)(26, 140)(27, 141)(28, 107)(29, 110)(30, 108)(31, 113)(32, 139)(33, 142)(34, 144)(35, 137)(36, 114)(37, 117)(38, 115)(39, 120)(40, 143)(41, 136)(42, 123)(43, 121)(44, 127)(45, 128)(46, 131)(47, 129)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 24, 72)(12, 60, 16, 64)(13, 61, 27, 75)(14, 62, 19, 67)(15, 63, 26, 74)(18, 66, 30, 78)(20, 68, 23, 71)(22, 70, 33, 81)(25, 73, 36, 84)(28, 76, 39, 87)(29, 77, 38, 86)(31, 79, 42, 90)(32, 80, 35, 83)(34, 82, 44, 92)(37, 85, 47, 95)(40, 88, 45, 93)(41, 89, 46, 94)(43, 91, 48, 96)(97, 145, 99, 147, 108, 156, 104, 152, 115, 163, 101, 149)(98, 146, 103, 151, 112, 160, 100, 148, 110, 158, 105, 153)(102, 150, 109, 157, 113, 161, 119, 167, 107, 155, 114, 162)(106, 154, 118, 166, 120, 168, 111, 159, 117, 165, 121, 169)(116, 164, 124, 172, 126, 174, 131, 179, 123, 171, 127, 175)(122, 170, 130, 178, 132, 180, 125, 173, 129, 177, 133, 181)(128, 176, 136, 184, 138, 186, 142, 190, 135, 183, 139, 187)(134, 182, 141, 189, 143, 191, 137, 185, 140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 119)(9, 121)(10, 98)(11, 115)(12, 105)(13, 124)(14, 99)(15, 125)(16, 101)(17, 108)(18, 127)(19, 103)(20, 102)(21, 110)(22, 130)(23, 131)(24, 112)(25, 133)(26, 106)(27, 107)(28, 136)(29, 137)(30, 113)(31, 139)(32, 116)(33, 117)(34, 141)(35, 142)(36, 120)(37, 144)(38, 122)(39, 123)(40, 140)(41, 128)(42, 126)(43, 143)(44, 129)(45, 135)(46, 134)(47, 132)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = D16 x S3 (small group id <96, 117>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y2^6, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^2 * Y3^-3 * Y2, Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 21, 69)(9, 57, 27, 75)(12, 60, 22, 70)(13, 61, 32, 80)(14, 62, 24, 72)(15, 63, 30, 78)(16, 64, 26, 74)(18, 66, 40, 88)(19, 67, 29, 77)(20, 68, 25, 73)(23, 71, 39, 87)(28, 76, 31, 79)(33, 81, 37, 85)(34, 82, 41, 89)(35, 83, 44, 92)(36, 84, 38, 86)(42, 90, 46, 94)(43, 91, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 129, 177, 115, 163, 101, 149)(98, 146, 103, 151, 118, 166, 139, 187, 125, 173, 105, 153)(100, 148, 110, 158, 130, 178, 143, 191, 134, 182, 112, 160)(102, 150, 109, 157, 131, 179, 126, 174, 138, 186, 114, 162)(104, 152, 120, 168, 140, 188, 144, 192, 142, 190, 122, 170)(106, 154, 119, 167, 137, 185, 116, 164, 132, 180, 124, 172)(107, 155, 127, 175, 133, 181, 135, 183, 113, 161, 121, 169)(111, 159, 117, 165, 136, 184, 141, 189, 128, 176, 123, 171)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 119)(8, 121)(9, 124)(10, 98)(11, 120)(12, 130)(13, 132)(14, 99)(15, 133)(16, 101)(17, 122)(18, 137)(19, 134)(20, 102)(21, 110)(22, 140)(23, 138)(24, 103)(25, 141)(26, 105)(27, 112)(28, 131)(29, 142)(30, 106)(31, 123)(32, 107)(33, 126)(34, 136)(35, 108)(36, 125)(37, 144)(38, 128)(39, 117)(40, 113)(41, 118)(42, 115)(43, 116)(44, 127)(45, 143)(46, 135)(47, 129)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.836 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = C6 x D16 (small group id <96, 179>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2, Y2^6, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 17, 65)(10, 58, 18, 66)(11, 59, 19, 67)(13, 61, 21, 69)(14, 62, 22, 70)(16, 64, 23, 71)(20, 68, 27, 75)(24, 72, 31, 79)(25, 73, 32, 80)(26, 74, 33, 81)(28, 76, 34, 82)(29, 77, 35, 83)(30, 78, 36, 84)(37, 85, 43, 91)(38, 86, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 98, 101, 107, 103, 99)(100, 105, 108, 116, 111, 106)(102, 109, 115, 112, 104, 110)(113, 120, 123, 122, 114, 121)(117, 124, 119, 126, 118, 125)(127, 133, 129, 135, 128, 134)(130, 136, 132, 138, 131, 137)(139, 142, 141, 144, 140, 143)(145, 147, 151, 155, 149, 146)(148, 154, 159, 164, 156, 153)(150, 158, 152, 160, 163, 157)(161, 169, 162, 170, 171, 168)(165, 173, 166, 174, 167, 172)(175, 182, 176, 183, 177, 181)(178, 185, 179, 186, 180, 184)(187, 191, 188, 192, 189, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.838
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.837 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = C3 x ((C2 x D8) : C2) (small group id <96, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, Y1^-2 * Y2^-2, (R * Y3)^2, Y2^-2 * Y1^4, (Y3 * Y2^-1 * Y1^-1)^2, Y1 * Y3 * Y2^2 * Y3 * Y1, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 107, 101)(99, 104, 102, 106, 118, 109)(100, 110, 117, 134, 125, 112)(105, 120, 133, 126, 114, 122)(108, 121, 115, 123, 136, 127)(111, 119, 113, 124, 135, 128)(129, 140, 143, 142, 131, 138)(130, 139, 132, 137, 144, 141)(145, 147, 155, 166, 151, 150)(146, 152, 149, 157, 164, 154)(148, 159, 173, 183, 165, 161)(153, 169, 162, 175, 181, 171)(156, 174, 184, 168, 163, 170)(158, 167, 160, 176, 182, 172)(177, 187, 179, 189, 191, 185)(178, 190, 192, 188, 180, 186)
	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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.839
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.838 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = C6 x D16 (small group id <96, 179>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y2, Y2^6, Y1^6, Y3 * Y1^2 * Y3 * Y1^-2, Y3 * Y2^2 * Y3 * Y2^-2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 15, 63, 111, 159)(9, 57, 105, 153, 17, 65, 113, 161)(10, 58, 106, 154, 18, 66, 114, 162)(11, 59, 107, 155, 19, 67, 115, 163)(13, 61, 109, 157, 21, 69, 117, 165)(14, 62, 110, 158, 22, 70, 118, 166)(16, 64, 112, 160, 23, 71, 119, 167)(20, 68, 116, 164, 27, 75, 123, 171)(24, 72, 120, 168, 31, 79, 127, 175)(25, 73, 121, 169, 32, 80, 128, 176)(26, 74, 122, 170, 33, 81, 129, 177)(28, 76, 124, 172, 34, 82, 130, 178)(29, 77, 125, 173, 35, 83, 131, 179)(30, 78, 126, 174, 36, 84, 132, 180)(37, 85, 133, 181, 43, 91, 139, 187)(38, 86, 134, 182, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 62)(9, 60)(10, 52)(11, 55)(12, 68)(13, 67)(14, 54)(15, 58)(16, 56)(17, 72)(18, 73)(19, 64)(20, 63)(21, 76)(22, 77)(23, 78)(24, 75)(25, 65)(26, 66)(27, 74)(28, 71)(29, 69)(30, 70)(31, 85)(32, 86)(33, 87)(34, 88)(35, 89)(36, 90)(37, 81)(38, 79)(39, 80)(40, 84)(41, 82)(42, 83)(43, 94)(44, 95)(45, 96)(46, 93)(47, 91)(48, 92)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 155)(104, 160)(105, 148)(106, 159)(107, 149)(108, 153)(109, 150)(110, 152)(111, 164)(112, 163)(113, 169)(114, 170)(115, 157)(116, 156)(117, 173)(118, 174)(119, 172)(120, 161)(121, 162)(122, 171)(123, 168)(124, 165)(125, 166)(126, 167)(127, 182)(128, 183)(129, 181)(130, 185)(131, 186)(132, 184)(133, 175)(134, 176)(135, 177)(136, 178)(137, 179)(138, 180)(139, 191)(140, 192)(141, 190)(142, 187)(143, 188)(144, 189)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.836
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.839 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C3 x D16 (small group id <48, 25>)
Aut   = C3 x ((C2 x D8) : C2) (small group id <96, 183>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, R * Y1 * R * Y2, Y1^-2 * Y2^-2, (R * Y3)^2, Y2^-2 * Y1^4, (Y3 * Y2^-1 * Y1^-1)^2, Y1 * Y3 * Y2^2 * Y3 * Y1, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 73)(13, 51)(14, 69)(15, 71)(16, 52)(17, 76)(18, 74)(19, 75)(20, 59)(21, 86)(22, 61)(23, 65)(24, 85)(25, 67)(26, 57)(27, 88)(28, 87)(29, 64)(30, 66)(31, 60)(32, 63)(33, 92)(34, 91)(35, 90)(36, 89)(37, 78)(38, 77)(39, 80)(40, 79)(41, 96)(42, 81)(43, 84)(44, 95)(45, 82)(46, 83)(47, 94)(48, 93)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 166)(108, 174)(109, 164)(110, 167)(111, 173)(112, 176)(113, 148)(114, 175)(115, 170)(116, 154)(117, 161)(118, 151)(119, 160)(120, 163)(121, 162)(122, 156)(123, 153)(124, 158)(125, 183)(126, 184)(127, 181)(128, 182)(129, 187)(130, 190)(131, 189)(132, 186)(133, 171)(134, 172)(135, 165)(136, 168)(137, 177)(138, 178)(139, 179)(140, 180)(141, 191)(142, 192)(143, 185)(144, 188)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.837
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.840 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y1^-1 * Y2 * Y1, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y1^6, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y2, Y1^-3 * Y3 * Y2 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 50, 2, 54, 6, 64, 16, 63, 15, 53, 5, 49)(3, 56, 8, 69, 21, 78, 30, 75, 27, 58, 10, 51)(4, 59, 11, 65, 17, 72, 24, 81, 33, 61, 13, 52)(7, 66, 18, 84, 36, 83, 35, 62, 14, 68, 20, 55)(9, 71, 23, 79, 31, 60, 12, 77, 29, 73, 25, 57)(19, 74, 26, 88, 40, 70, 22, 87, 39, 85, 37, 67)(28, 82, 34, 86, 38, 94, 46, 80, 32, 92, 44, 76)(41, 91, 43, 96, 48, 93, 45, 90, 42, 95, 47, 89)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 17)(8, 22)(9, 24)(10, 25)(11, 28)(14, 34)(15, 35)(16, 30)(18, 32)(19, 27)(20, 37)(21, 31)(23, 41)(26, 43)(29, 45)(33, 46)(36, 40)(38, 48)(39, 42)(44, 47)(49, 52)(50, 56)(51, 57)(53, 62)(54, 66)(55, 67)(58, 74)(59, 77)(60, 78)(61, 80)(63, 75)(64, 72)(65, 82)(68, 86)(69, 87)(70, 83)(71, 81)(73, 90)(76, 89)(79, 91)(84, 92)(85, 95)(88, 96)(93, 94)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.841 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, (Y2 * Y1^-3)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-2 * Y2 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 70, 22, 66, 18, 56, 8, 51)(6, 61, 13, 73, 25, 69, 21, 76, 28, 62, 14, 54)(9, 67, 19, 72, 24, 60, 12, 71, 23, 68, 20, 57)(16, 78, 30, 89, 41, 82, 34, 84, 36, 79, 31, 64)(17, 80, 32, 74, 26, 77, 29, 88, 40, 81, 33, 65)(27, 87, 39, 85, 37, 86, 38, 92, 44, 83, 35, 75)(42, 96, 48, 94, 46, 95, 47, 93, 45, 91, 43, 90)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 34)(19, 35)(20, 36)(23, 37)(24, 30)(25, 38)(28, 33)(31, 42)(32, 43)(39, 45)(40, 46)(41, 47)(44, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 69)(59, 70)(61, 74)(62, 75)(63, 77)(66, 82)(67, 83)(68, 84)(71, 85)(72, 78)(73, 86)(76, 81)(79, 90)(80, 91)(87, 93)(88, 94)(89, 95)(92, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.842 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y1 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^6, Y2 * Y1 * Y2 * Y3^2 * Y2 * Y3 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 33, 81, 15, 63, 5, 53)(2, 50, 7, 55, 20, 68, 23, 71, 22, 70, 8, 56)(3, 51, 10, 58, 27, 75, 16, 64, 29, 77, 11, 59)(6, 54, 17, 65, 25, 73, 9, 57, 24, 72, 18, 66)(12, 60, 31, 79, 45, 93, 35, 83, 14, 62, 32, 80)(19, 67, 34, 82, 46, 94, 40, 88, 21, 69, 39, 87)(26, 74, 42, 90, 44, 92, 30, 78, 28, 76, 43, 91)(36, 84, 41, 89, 48, 96, 38, 86, 37, 85, 47, 95)(97, 98)(99, 105)(100, 106)(101, 110)(102, 112)(103, 113)(104, 117)(107, 124)(108, 126)(109, 127)(111, 125)(114, 133)(115, 134)(116, 130)(118, 120)(119, 129)(121, 137)(122, 131)(123, 138)(128, 142)(132, 136)(135, 141)(139, 143)(140, 144)(145, 147)(146, 150)(148, 156)(149, 152)(151, 163)(153, 167)(154, 170)(155, 169)(157, 164)(158, 178)(159, 179)(160, 177)(161, 180)(162, 171)(165, 175)(166, 184)(168, 182)(172, 181)(173, 174)(176, 188)(183, 192)(185, 186)(187, 189)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.845
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.843 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y3 * Y1 * Y3^-3 * Y1 * Y3^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 ]
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, 32, 80, 16, 64)(9, 57, 19, 67, 34, 82, 17, 65, 33, 81, 20, 68)(11, 59, 22, 70, 37, 85, 28, 76, 36, 84, 23, 71)(13, 61, 26, 74, 29, 77, 24, 72, 39, 87, 27, 75)(31, 79, 42, 90, 43, 91, 41, 89, 44, 92, 35, 83)(38, 86, 46, 94, 47, 95, 45, 93, 48, 96, 40, 88)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 125)(112, 127)(114, 121)(115, 131)(116, 132)(118, 130)(119, 134)(122, 136)(123, 128)(126, 137)(129, 139)(133, 141)(135, 143)(138, 144)(140, 142)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 168)(158, 172)(159, 173)(160, 175)(162, 169)(163, 179)(164, 180)(166, 178)(167, 182)(170, 184)(171, 176)(174, 185)(177, 187)(181, 189)(183, 191)(186, 192)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.846
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.844 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y2^6, Y1^6, (Y3 * Y1^-3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 19, 67)(10, 58, 21, 69)(11, 59, 22, 70)(13, 61, 26, 74)(14, 62, 28, 76)(16, 64, 29, 77)(17, 65, 30, 78)(18, 66, 31, 79)(20, 68, 34, 82)(23, 71, 37, 85)(24, 72, 32, 80)(25, 73, 38, 86)(27, 75, 36, 84)(33, 81, 43, 91)(35, 83, 44, 92)(39, 87, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(42, 90, 48, 96)(97, 98, 101, 107, 103, 99)(100, 105, 114, 118, 116, 106)(102, 109, 121, 111, 123, 110)(104, 112, 120, 108, 119, 113)(115, 128, 138, 130, 126, 129)(117, 131, 122, 127, 137, 132)(124, 135, 133, 134, 136, 125)(139, 142, 143, 144, 141, 140)(145, 147, 151, 155, 149, 146)(148, 154, 164, 166, 162, 153)(150, 158, 171, 159, 169, 157)(152, 161, 167, 156, 168, 160)(163, 177, 174, 178, 186, 176)(165, 180, 185, 175, 170, 179)(172, 173, 184, 182, 181, 183)(187, 188, 189, 192, 191, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.847
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.845 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3 * Y1 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1, Y3^6, Y2 * Y1 * Y2 * Y3^2 * Y2 * Y3 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 33, 81, 129, 177, 15, 63, 111, 159, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 20, 68, 116, 164, 23, 71, 119, 167, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 27, 75, 123, 171, 16, 64, 112, 160, 29, 77, 125, 173, 11, 59, 107, 155)(6, 54, 102, 150, 17, 65, 113, 161, 25, 73, 121, 169, 9, 57, 105, 153, 24, 72, 120, 168, 18, 66, 114, 162)(12, 60, 108, 156, 31, 79, 127, 175, 45, 93, 141, 189, 35, 83, 131, 179, 14, 62, 110, 158, 32, 80, 128, 176)(19, 67, 115, 163, 34, 82, 130, 178, 46, 94, 142, 190, 40, 88, 136, 184, 21, 69, 117, 165, 39, 87, 135, 183)(26, 74, 122, 170, 42, 90, 138, 186, 44, 92, 140, 188, 30, 78, 126, 174, 28, 76, 124, 172, 43, 91, 139, 187)(36, 84, 132, 180, 41, 89, 137, 185, 48, 96, 144, 192, 38, 86, 134, 182, 37, 85, 133, 181, 47, 95, 143, 191)
	L = (1, 50)(2, 49)(3, 57)(4, 58)(5, 62)(6, 64)(7, 65)(8, 69)(9, 51)(10, 52)(11, 76)(12, 78)(13, 79)(14, 53)(15, 77)(16, 54)(17, 55)(18, 85)(19, 86)(20, 82)(21, 56)(22, 72)(23, 81)(24, 70)(25, 89)(26, 83)(27, 90)(28, 59)(29, 63)(30, 60)(31, 61)(32, 94)(33, 71)(34, 68)(35, 74)(36, 88)(37, 66)(38, 67)(39, 93)(40, 84)(41, 73)(42, 75)(43, 95)(44, 96)(45, 87)(46, 80)(47, 91)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 152)(102, 146)(103, 163)(104, 149)(105, 167)(106, 170)(107, 169)(108, 148)(109, 164)(110, 178)(111, 179)(112, 177)(113, 180)(114, 171)(115, 151)(116, 157)(117, 175)(118, 184)(119, 153)(120, 182)(121, 155)(122, 154)(123, 162)(124, 181)(125, 174)(126, 173)(127, 165)(128, 188)(129, 160)(130, 158)(131, 159)(132, 161)(133, 172)(134, 168)(135, 192)(136, 166)(137, 186)(138, 185)(139, 189)(140, 176)(141, 187)(142, 191)(143, 190)(144, 183)
	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 E17.842
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.846 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y3^6, Y3 * Y1 * Y3^-3 * Y1 * Y3^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 18, 66, 114, 162, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 25, 73, 121, 169, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 30, 78, 126, 174, 21, 69, 117, 165, 32, 80, 128, 176, 16, 64, 112, 160)(9, 57, 105, 153, 19, 67, 115, 163, 34, 82, 130, 178, 17, 65, 113, 161, 33, 81, 129, 177, 20, 68, 116, 164)(11, 59, 107, 155, 22, 70, 118, 166, 37, 85, 133, 181, 28, 76, 124, 172, 36, 84, 132, 180, 23, 71, 119, 167)(13, 61, 109, 157, 26, 74, 122, 170, 29, 77, 125, 173, 24, 72, 120, 168, 39, 87, 135, 183, 27, 75, 123, 171)(31, 79, 127, 175, 42, 90, 138, 186, 43, 91, 139, 187, 41, 89, 137, 185, 44, 92, 140, 188, 35, 83, 131, 179)(38, 86, 134, 182, 46, 94, 142, 190, 47, 95, 143, 191, 45, 93, 141, 189, 48, 96, 144, 192, 40, 88, 136, 184)
	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, 79)(17, 56)(18, 73)(19, 83)(20, 84)(21, 58)(22, 82)(23, 86)(24, 60)(25, 66)(26, 88)(27, 80)(28, 62)(29, 63)(30, 89)(31, 64)(32, 75)(33, 91)(34, 70)(35, 67)(36, 68)(37, 93)(38, 71)(39, 95)(40, 74)(41, 78)(42, 96)(43, 81)(44, 94)(45, 85)(46, 92)(47, 87)(48, 90)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 161)(105, 148)(106, 165)(107, 149)(108, 168)(109, 150)(110, 172)(111, 173)(112, 175)(113, 152)(114, 169)(115, 179)(116, 180)(117, 154)(118, 178)(119, 182)(120, 156)(121, 162)(122, 184)(123, 176)(124, 158)(125, 159)(126, 185)(127, 160)(128, 171)(129, 187)(130, 166)(131, 163)(132, 164)(133, 189)(134, 167)(135, 191)(136, 170)(137, 174)(138, 192)(139, 177)(140, 190)(141, 181)(142, 188)(143, 183)(144, 186)
	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 E17.843
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.847 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1, (R * Y3)^2, R * Y2 * R * Y1, Y2^6, Y1^6, (Y3 * Y1^-3)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 15, 63, 111, 159)(9, 57, 105, 153, 19, 67, 115, 163)(10, 58, 106, 154, 21, 69, 117, 165)(11, 59, 107, 155, 22, 70, 118, 166)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 28, 76, 124, 172)(16, 64, 112, 160, 29, 77, 125, 173)(17, 65, 113, 161, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175)(20, 68, 116, 164, 34, 82, 130, 178)(23, 71, 119, 167, 37, 85, 133, 181)(24, 72, 120, 168, 32, 80, 128, 176)(25, 73, 121, 169, 38, 86, 134, 182)(27, 75, 123, 171, 36, 84, 132, 180)(33, 81, 129, 177, 43, 91, 139, 187)(35, 83, 131, 179, 44, 92, 140, 188)(39, 87, 135, 183, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(42, 90, 138, 186, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 66)(10, 52)(11, 55)(12, 71)(13, 73)(14, 54)(15, 75)(16, 72)(17, 56)(18, 70)(19, 80)(20, 58)(21, 83)(22, 68)(23, 65)(24, 60)(25, 63)(26, 79)(27, 62)(28, 87)(29, 76)(30, 81)(31, 89)(32, 90)(33, 67)(34, 78)(35, 74)(36, 69)(37, 86)(38, 88)(39, 85)(40, 77)(41, 84)(42, 82)(43, 94)(44, 91)(45, 92)(46, 95)(47, 96)(48, 93)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 155)(104, 161)(105, 148)(106, 164)(107, 149)(108, 168)(109, 150)(110, 171)(111, 169)(112, 152)(113, 167)(114, 153)(115, 177)(116, 166)(117, 180)(118, 162)(119, 156)(120, 160)(121, 157)(122, 179)(123, 159)(124, 173)(125, 184)(126, 178)(127, 170)(128, 163)(129, 174)(130, 186)(131, 165)(132, 185)(133, 183)(134, 181)(135, 172)(136, 182)(137, 175)(138, 176)(139, 188)(140, 189)(141, 192)(142, 187)(143, 190)(144, 191)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.844
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y3^-1 * Y2^-3 * Y3^-1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, (Y3^-1 * Y2^-1)^3, Y2^2 * Y1 * Y2 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 24, 72)(9, 57, 31, 79)(12, 60, 38, 86)(13, 61, 36, 84)(14, 62, 30, 78)(15, 63, 34, 82)(16, 64, 29, 77)(17, 65, 27, 75)(19, 67, 35, 83)(20, 68, 45, 93)(21, 69, 28, 76)(22, 70, 32, 80)(23, 71, 26, 74)(25, 73, 42, 90)(33, 81, 39, 87)(37, 85, 44, 92)(40, 88, 48, 96)(41, 89, 43, 91)(46, 94, 47, 95)(97, 145, 99, 147, 108, 156, 112, 160, 116, 164, 101, 149)(98, 146, 103, 151, 121, 169, 125, 173, 129, 177, 105, 153)(100, 148, 111, 159, 119, 167, 102, 150, 118, 166, 113, 161)(104, 152, 124, 172, 132, 180, 106, 154, 131, 179, 126, 174)(107, 155, 133, 181, 122, 170, 141, 189, 143, 191, 123, 171)(109, 157, 135, 183, 137, 185, 110, 158, 120, 168, 136, 184)(114, 162, 128, 176, 144, 192, 134, 182, 130, 178, 139, 187)(115, 163, 140, 188, 138, 186, 117, 165, 142, 190, 127, 175)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 128)(10, 98)(11, 126)(12, 117)(13, 116)(14, 99)(15, 138)(16, 102)(17, 135)(18, 124)(19, 108)(20, 110)(21, 101)(22, 127)(23, 120)(24, 113)(25, 130)(26, 129)(27, 103)(28, 134)(29, 106)(30, 141)(31, 111)(32, 121)(33, 123)(34, 105)(35, 114)(36, 107)(37, 139)(38, 131)(39, 119)(40, 142)(41, 140)(42, 118)(43, 143)(44, 136)(45, 132)(46, 137)(47, 144)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = C2 x GL(2,3) (small group id <96, 189>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2 * R * Y2^-1 * R, Y3 * Y2^-2 * Y3 * Y2, Y2^-1 * Y3^-1 * Y2^-1 * Y3^2, Y2^6, Y1 * Y2^2 * Y3 * Y1 * Y2^-2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 22, 70)(9, 57, 19, 67)(12, 60, 36, 84)(13, 61, 35, 83)(14, 62, 30, 78)(15, 63, 32, 80)(16, 64, 34, 82)(17, 65, 27, 75)(20, 68, 45, 93)(21, 69, 28, 76)(23, 71, 44, 92)(24, 72, 29, 77)(25, 73, 38, 86)(26, 74, 40, 88)(31, 79, 42, 90)(33, 81, 43, 91)(37, 85, 46, 94)(39, 87, 48, 96)(41, 89, 47, 95)(97, 145, 99, 147, 108, 156, 133, 181, 116, 164, 101, 149)(98, 146, 103, 151, 121, 169, 142, 190, 127, 175, 105, 153)(100, 148, 111, 159, 137, 185, 120, 168, 117, 165, 113, 161)(102, 150, 118, 166, 109, 157, 112, 160, 138, 186, 119, 167)(104, 152, 124, 172, 144, 192, 130, 178, 128, 176, 126, 174)(106, 154, 107, 155, 122, 170, 125, 173, 141, 189, 129, 177)(110, 158, 136, 184, 134, 182, 135, 183, 139, 187, 115, 163)(114, 162, 123, 171, 131, 179, 132, 180, 143, 191, 140, 188)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 122)(8, 125)(9, 114)(10, 98)(11, 126)(12, 134)(13, 135)(14, 99)(15, 108)(16, 133)(17, 139)(18, 124)(19, 111)(20, 119)(21, 101)(22, 113)(23, 110)(24, 102)(25, 132)(26, 143)(27, 103)(28, 121)(29, 142)(30, 140)(31, 129)(32, 105)(33, 123)(34, 106)(35, 107)(36, 128)(37, 120)(38, 117)(39, 116)(40, 118)(41, 136)(42, 137)(43, 138)(44, 141)(45, 144)(46, 130)(47, 127)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.850 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-2 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, (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, 31, 79)(18, 66, 25, 73)(19, 67, 35, 83)(20, 68, 36, 84)(22, 70, 37, 85)(23, 71, 30, 78)(26, 74, 33, 81)(27, 75, 40, 88)(32, 80, 42, 90)(34, 82, 43, 91)(38, 86, 46, 94)(39, 87, 47, 95)(41, 89, 45, 93)(44, 92, 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, 128, 176, 112, 160)(105, 153, 115, 163, 130, 178, 113, 161, 129, 177, 116, 164)(107, 155, 118, 166, 127, 175, 124, 172, 134, 182, 119, 167)(109, 157, 122, 170, 135, 183, 120, 168, 131, 179, 123, 171)(125, 173, 137, 185, 139, 187, 138, 186, 140, 188, 132, 180)(133, 181, 141, 189, 143, 191, 142, 190, 144, 192, 136, 184)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.851 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2 * Y1 * Y2^-3 * Y1 * Y2^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1, (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, 31, 79)(18, 66, 25, 73)(19, 67, 35, 83)(20, 68, 36, 84)(22, 70, 34, 82)(23, 71, 38, 86)(26, 74, 40, 88)(27, 75, 32, 80)(30, 78, 41, 89)(33, 81, 43, 91)(37, 85, 45, 93)(39, 87, 47, 95)(42, 90, 48, 96)(44, 92, 46, 94)(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, 128, 176, 112, 160)(105, 153, 115, 163, 130, 178, 113, 161, 129, 177, 116, 164)(107, 155, 118, 166, 133, 181, 124, 172, 132, 180, 119, 167)(109, 157, 122, 170, 125, 173, 120, 168, 135, 183, 123, 171)(127, 175, 138, 186, 139, 187, 137, 185, 140, 188, 131, 179)(134, 182, 142, 190, 143, 191, 141, 189, 144, 192, 136, 184)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.852 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = GL(2,3) (small group id <48, 29>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y3^4, Y2^3 * Y3^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 29, 77)(12, 60, 30, 78)(13, 61, 28, 76)(14, 62, 32, 80)(15, 63, 26, 74)(16, 64, 31, 79)(17, 65, 24, 72)(18, 66, 22, 70)(19, 67, 23, 71)(20, 68, 27, 75)(21, 69, 25, 73)(33, 81, 45, 93)(34, 82, 48, 96)(35, 83, 46, 94)(36, 84, 47, 95)(37, 85, 41, 89)(38, 86, 43, 91)(39, 87, 44, 92)(40, 88, 42, 90)(97, 145, 99, 147, 107, 155, 111, 159, 114, 162, 101, 149)(98, 146, 103, 151, 118, 166, 122, 170, 125, 173, 105, 153)(100, 148, 110, 158, 117, 165, 102, 150, 116, 164, 112, 160)(104, 152, 121, 169, 128, 176, 106, 154, 127, 175, 123, 171)(108, 156, 129, 177, 132, 180, 109, 157, 131, 179, 130, 178)(113, 161, 135, 183, 133, 181, 115, 163, 136, 184, 134, 182)(119, 167, 137, 185, 140, 188, 120, 168, 139, 187, 138, 186)(124, 172, 143, 191, 141, 189, 126, 174, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 119)(8, 122)(9, 124)(10, 98)(11, 115)(12, 114)(13, 99)(14, 133)(15, 102)(16, 129)(17, 107)(18, 109)(19, 101)(20, 134)(21, 131)(22, 126)(23, 125)(24, 103)(25, 141)(26, 106)(27, 137)(28, 118)(29, 120)(30, 105)(31, 142)(32, 139)(33, 117)(34, 136)(35, 112)(36, 135)(37, 116)(38, 110)(39, 130)(40, 132)(41, 128)(42, 144)(43, 123)(44, 143)(45, 127)(46, 121)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.853 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y1^-1 * Y2^-1, Y2^2 * Y1^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2^-4 * Y1, Y1^6, (Y3 * Y1^-3)^2, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y2^2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-2 * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 19, 67)(10, 58, 21, 69)(11, 59, 22, 70)(13, 61, 26, 74)(14, 62, 28, 76)(16, 64, 29, 77)(17, 65, 30, 78)(18, 66, 31, 79)(20, 68, 34, 82)(23, 71, 35, 83)(24, 72, 37, 85)(25, 73, 33, 81)(27, 75, 39, 87)(32, 80, 42, 90)(36, 84, 44, 92)(38, 86, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(43, 91, 48, 96)(97, 98, 101, 107, 103, 99)(100, 105, 114, 118, 116, 106)(102, 109, 121, 111, 123, 110)(104, 112, 120, 108, 119, 113)(115, 128, 124, 130, 139, 129)(117, 131, 137, 127, 125, 132)(122, 134, 133, 135, 136, 126)(138, 141, 143, 144, 142, 140)(145, 147, 151, 155, 149, 146)(148, 154, 164, 166, 162, 153)(150, 158, 171, 159, 169, 157)(152, 161, 167, 156, 168, 160)(163, 177, 187, 178, 172, 176)(165, 180, 173, 175, 185, 179)(170, 174, 184, 183, 181, 182)(186, 188, 190, 192, 191, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.854
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.854 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = C2 x (SL(2,3) : C2) (small group id <96, 200>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1 * Y2, Y1^-1 * Y2^-1, Y2^2 * Y1^2, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2^-4 * Y1, Y1^6, (Y3 * Y1^-3)^2, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y2^2 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-2 * Y3, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 15, 63, 111, 159)(9, 57, 105, 153, 19, 67, 115, 163)(10, 58, 106, 154, 21, 69, 117, 165)(11, 59, 107, 155, 22, 70, 118, 166)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 28, 76, 124, 172)(16, 64, 112, 160, 29, 77, 125, 173)(17, 65, 113, 161, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175)(20, 68, 116, 164, 34, 82, 130, 178)(23, 71, 119, 167, 35, 83, 131, 179)(24, 72, 120, 168, 37, 85, 133, 181)(25, 73, 121, 169, 33, 81, 129, 177)(27, 75, 123, 171, 39, 87, 135, 183)(32, 80, 128, 176, 42, 90, 138, 186)(36, 84, 132, 180, 44, 92, 140, 188)(38, 86, 134, 182, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(43, 91, 139, 187, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 66)(10, 52)(11, 55)(12, 71)(13, 73)(14, 54)(15, 75)(16, 72)(17, 56)(18, 70)(19, 80)(20, 58)(21, 83)(22, 68)(23, 65)(24, 60)(25, 63)(26, 86)(27, 62)(28, 82)(29, 84)(30, 74)(31, 77)(32, 76)(33, 67)(34, 91)(35, 89)(36, 69)(37, 87)(38, 85)(39, 88)(40, 78)(41, 79)(42, 93)(43, 81)(44, 90)(45, 95)(46, 92)(47, 96)(48, 94)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 155)(104, 161)(105, 148)(106, 164)(107, 149)(108, 168)(109, 150)(110, 171)(111, 169)(112, 152)(113, 167)(114, 153)(115, 177)(116, 166)(117, 180)(118, 162)(119, 156)(120, 160)(121, 157)(122, 174)(123, 159)(124, 176)(125, 175)(126, 184)(127, 185)(128, 163)(129, 187)(130, 172)(131, 165)(132, 173)(133, 182)(134, 170)(135, 181)(136, 183)(137, 179)(138, 188)(139, 178)(140, 190)(141, 186)(142, 192)(143, 189)(144, 191)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.853
Transitivity :: VT+
Graph::
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.855 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 16, 64)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 20, 68)(17, 65, 30, 78)(18, 66, 34, 82)(21, 69, 29, 77)(23, 71, 31, 79)(24, 72, 37, 85)(25, 73, 33, 81)(27, 75, 35, 83)(28, 76, 36, 84)(32, 80, 42, 90)(38, 86, 43, 91)(39, 87, 44, 92)(40, 88, 47, 95)(41, 89, 46, 94)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 120, 168, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 136, 184, 123, 171, 108, 156)(103, 151, 113, 161, 129, 177, 141, 189, 131, 179, 114, 162)(105, 153, 117, 165, 133, 181, 124, 172, 109, 157, 119, 167)(111, 159, 125, 173, 138, 186, 132, 180, 115, 163, 127, 175)(118, 166, 134, 182, 143, 191, 137, 185, 122, 170, 135, 183)(126, 174, 139, 187, 144, 192, 142, 190, 130, 178, 140, 188)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 126)(16, 129)(17, 102)(18, 104)(19, 130)(20, 131)(21, 134)(22, 105)(23, 135)(24, 136)(25, 106)(26, 109)(27, 110)(28, 137)(29, 139)(30, 111)(31, 140)(32, 141)(33, 112)(34, 115)(35, 116)(36, 142)(37, 143)(38, 117)(39, 119)(40, 120)(41, 124)(42, 144)(43, 125)(44, 127)(45, 128)(46, 132)(47, 133)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 20, 68)(11, 59, 22, 70)(12, 60, 26, 74)(14, 62, 16, 64)(17, 65, 30, 78)(18, 66, 34, 82)(21, 69, 29, 77)(23, 71, 36, 84)(24, 72, 39, 87)(25, 73, 35, 83)(27, 75, 33, 81)(28, 76, 31, 79)(32, 80, 44, 92)(37, 85, 42, 90)(38, 86, 46, 94)(40, 88, 47, 95)(41, 89, 43, 91)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 120, 168, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 136, 184, 123, 171, 108, 156)(103, 151, 113, 161, 129, 177, 141, 189, 131, 179, 114, 162)(105, 153, 117, 165, 109, 157, 124, 172, 135, 183, 119, 167)(111, 159, 125, 173, 115, 163, 132, 180, 140, 188, 127, 175)(118, 166, 133, 181, 122, 170, 137, 185, 143, 191, 134, 182)(126, 174, 138, 186, 130, 178, 142, 190, 144, 192, 139, 187)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 126)(16, 129)(17, 102)(18, 104)(19, 130)(20, 131)(21, 133)(22, 105)(23, 134)(24, 136)(25, 106)(26, 109)(27, 110)(28, 137)(29, 138)(30, 111)(31, 139)(32, 141)(33, 112)(34, 115)(35, 116)(36, 142)(37, 117)(38, 119)(39, 143)(40, 120)(41, 124)(42, 125)(43, 127)(44, 144)(45, 128)(46, 132)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^6, Y2^-2 * Y1 * Y2^2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 22, 70)(14, 62, 23, 71)(15, 63, 24, 72)(16, 64, 25, 73)(18, 66, 27, 75)(19, 67, 28, 76)(29, 77, 36, 84)(30, 78, 43, 91)(31, 79, 39, 87)(32, 80, 38, 86)(33, 81, 42, 90)(34, 82, 41, 89)(35, 83, 40, 88)(37, 85, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 126, 174, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 133, 181, 124, 172, 105, 153)(100, 148, 110, 158, 127, 175, 141, 189, 129, 177, 112, 160)(102, 150, 109, 157, 128, 176, 140, 188, 131, 179, 114, 162)(104, 152, 119, 167, 134, 182, 144, 192, 136, 184, 121, 169)(106, 154, 118, 166, 135, 183, 143, 191, 138, 186, 123, 171)(107, 155, 125, 173, 139, 187, 130, 178, 113, 161, 120, 168)(111, 159, 116, 164, 132, 180, 142, 190, 137, 185, 122, 170)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 119)(12, 127)(13, 116)(14, 99)(15, 102)(16, 101)(17, 121)(18, 122)(19, 129)(20, 110)(21, 134)(22, 107)(23, 103)(24, 106)(25, 105)(26, 112)(27, 113)(28, 136)(29, 135)(30, 140)(31, 132)(32, 108)(33, 137)(34, 138)(35, 115)(36, 128)(37, 143)(38, 125)(39, 117)(40, 130)(41, 131)(42, 124)(43, 144)(44, 142)(45, 126)(46, 141)(47, 139)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3 * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, (Y2^-1 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 28, 76)(13, 61, 27, 75)(14, 62, 25, 73)(15, 63, 24, 72)(16, 64, 23, 71)(18, 66, 22, 70)(19, 67, 21, 69)(29, 77, 41, 89)(30, 78, 43, 91)(31, 79, 42, 90)(32, 80, 40, 88)(33, 81, 39, 87)(34, 82, 36, 84)(35, 83, 38, 86)(37, 85, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 108, 156, 126, 174, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 133, 181, 124, 172, 105, 153)(100, 148, 110, 158, 127, 175, 141, 189, 129, 177, 112, 160)(102, 150, 109, 157, 128, 176, 140, 188, 131, 179, 114, 162)(104, 152, 119, 167, 134, 182, 144, 192, 136, 184, 121, 169)(106, 154, 118, 166, 135, 183, 143, 191, 138, 186, 123, 171)(107, 155, 120, 168, 113, 161, 130, 178, 139, 187, 125, 173)(111, 159, 122, 170, 137, 185, 142, 190, 132, 180, 116, 164)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 114)(6, 97)(7, 118)(8, 120)(9, 123)(10, 98)(11, 121)(12, 127)(13, 122)(14, 99)(15, 102)(16, 101)(17, 119)(18, 116)(19, 129)(20, 112)(21, 134)(22, 113)(23, 103)(24, 106)(25, 105)(26, 110)(27, 107)(28, 136)(29, 138)(30, 140)(31, 137)(32, 108)(33, 132)(34, 135)(35, 115)(36, 131)(37, 143)(38, 130)(39, 117)(40, 125)(41, 128)(42, 124)(43, 144)(44, 142)(45, 126)(46, 141)(47, 139)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2, Y3^-1), Y2^-2 * Y3^-2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^-2 * Y3^4, (Y2^-1 * Y1 * Y2^-1)^2, Y2^6, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 24, 72)(12, 60, 22, 70)(13, 61, 28, 76)(14, 62, 26, 74)(15, 63, 19, 67)(16, 64, 31, 79)(20, 68, 36, 84)(21, 69, 34, 82)(23, 71, 39, 87)(25, 73, 33, 81)(27, 75, 40, 88)(29, 77, 43, 91)(30, 78, 38, 86)(32, 80, 35, 83)(37, 85, 47, 95)(41, 89, 46, 94)(42, 90, 45, 93)(44, 92, 48, 96)(97, 145, 99, 147, 108, 156, 125, 173, 111, 159, 101, 149)(98, 146, 103, 151, 115, 163, 133, 181, 118, 166, 105, 153)(100, 148, 109, 157, 102, 150, 110, 158, 126, 174, 112, 160)(104, 152, 116, 164, 106, 154, 117, 165, 134, 182, 119, 167)(107, 155, 121, 169, 113, 161, 128, 176, 139, 187, 123, 171)(114, 162, 129, 177, 120, 168, 136, 184, 143, 191, 131, 179)(122, 170, 137, 185, 124, 172, 138, 186, 127, 175, 140, 188)(130, 178, 141, 189, 132, 180, 142, 190, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 116)(8, 118)(9, 119)(10, 98)(11, 122)(12, 102)(13, 101)(14, 99)(15, 126)(16, 125)(17, 124)(18, 130)(19, 106)(20, 105)(21, 103)(22, 134)(23, 133)(24, 132)(25, 137)(26, 139)(27, 140)(28, 107)(29, 110)(30, 108)(31, 113)(32, 138)(33, 141)(34, 143)(35, 144)(36, 114)(37, 117)(38, 115)(39, 120)(40, 142)(41, 123)(42, 121)(43, 127)(44, 128)(45, 131)(46, 129)(47, 135)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.860 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, Y2^6, Y3^-1 * Y2 * Y3^-1 * Y2^3, (Y3^-2 * Y2)^2, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, Y3^2 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^4 * Y2^-1, (Y2^2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 18, 66)(6, 54, 8, 56)(7, 55, 23, 71)(9, 57, 30, 78)(12, 60, 32, 80)(13, 61, 25, 73)(14, 62, 29, 77)(15, 63, 27, 75)(16, 64, 34, 82)(17, 65, 26, 74)(19, 67, 33, 81)(20, 68, 24, 72)(21, 69, 31, 79)(22, 70, 28, 76)(35, 83, 42, 90)(36, 84, 48, 96)(37, 85, 46, 94)(38, 86, 47, 95)(39, 87, 44, 92)(40, 88, 45, 93)(41, 89, 43, 91)(97, 145, 99, 147, 108, 156, 132, 180, 116, 164, 101, 149)(98, 146, 103, 151, 120, 168, 139, 187, 128, 176, 105, 153)(100, 148, 111, 159, 133, 181, 110, 158, 136, 184, 113, 161)(102, 150, 117, 165, 134, 182, 115, 163, 135, 183, 109, 157)(104, 152, 123, 171, 140, 188, 122, 170, 143, 191, 125, 173)(106, 154, 129, 177, 141, 189, 127, 175, 142, 190, 121, 169)(107, 155, 131, 179, 114, 162, 130, 178, 144, 192, 124, 172)(112, 160, 119, 167, 138, 186, 126, 174, 118, 166, 137, 185)
	L = (1, 100)(2, 104)(3, 109)(4, 112)(5, 115)(6, 97)(7, 121)(8, 124)(9, 127)(10, 98)(11, 125)(12, 133)(13, 119)(14, 99)(15, 101)(16, 134)(17, 132)(18, 123)(19, 137)(20, 136)(21, 126)(22, 102)(23, 113)(24, 140)(25, 107)(26, 103)(27, 105)(28, 141)(29, 139)(30, 111)(31, 144)(32, 143)(33, 114)(34, 106)(35, 142)(36, 117)(37, 138)(38, 108)(39, 116)(40, 118)(41, 110)(42, 135)(43, 129)(44, 131)(45, 120)(46, 128)(47, 130)(48, 122)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.861 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C6 x D8 (small group id <48, 45>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 20, 68)(13, 61, 19, 67)(14, 62, 21, 69)(15, 63, 23, 71)(16, 64, 22, 70)(17, 65, 24, 72)(25, 73, 32, 80)(26, 74, 34, 82)(27, 75, 33, 81)(28, 76, 35, 83)(29, 77, 36, 84)(30, 78, 38, 86)(31, 79, 37, 85)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 113, 161, 101, 149)(98, 146, 103, 151, 114, 162, 128, 176, 120, 168, 105, 153)(100, 148, 109, 157, 122, 170, 136, 184, 126, 174, 111, 159)(102, 150, 108, 156, 123, 171, 135, 183, 127, 175, 112, 160)(104, 152, 116, 164, 129, 177, 140, 188, 133, 181, 118, 166)(106, 154, 115, 163, 130, 178, 139, 187, 134, 182, 119, 167)(110, 158, 124, 172, 137, 185, 143, 191, 138, 186, 125, 173)(117, 165, 131, 179, 141, 189, 144, 192, 142, 190, 132, 180)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 115)(8, 117)(9, 119)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 101)(16, 125)(17, 126)(18, 129)(19, 131)(20, 103)(21, 106)(22, 105)(23, 132)(24, 133)(25, 135)(26, 137)(27, 107)(28, 109)(29, 111)(30, 138)(31, 113)(32, 139)(33, 141)(34, 114)(35, 116)(36, 118)(37, 142)(38, 120)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 130)(46, 134)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.862 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2 * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 24, 72)(12, 60, 22, 70)(13, 61, 23, 71)(14, 62, 21, 69)(15, 63, 19, 67)(16, 64, 20, 68)(17, 65, 18, 66)(25, 73, 32, 80)(26, 74, 38, 86)(27, 75, 37, 85)(28, 76, 36, 84)(29, 77, 35, 83)(30, 78, 34, 82)(31, 79, 33, 81)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 113, 161, 101, 149)(98, 146, 103, 151, 114, 162, 128, 176, 120, 168, 105, 153)(100, 148, 109, 157, 122, 170, 136, 184, 126, 174, 111, 159)(102, 150, 108, 156, 123, 171, 135, 183, 127, 175, 112, 160)(104, 152, 116, 164, 129, 177, 140, 188, 133, 181, 118, 166)(106, 154, 115, 163, 130, 178, 139, 187, 134, 182, 119, 167)(110, 158, 124, 172, 137, 185, 143, 191, 138, 186, 125, 173)(117, 165, 131, 179, 141, 189, 144, 192, 142, 190, 132, 180)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 112)(6, 97)(7, 115)(8, 117)(9, 119)(10, 98)(11, 122)(12, 124)(13, 99)(14, 102)(15, 101)(16, 125)(17, 126)(18, 129)(19, 131)(20, 103)(21, 106)(22, 105)(23, 132)(24, 133)(25, 135)(26, 137)(27, 107)(28, 109)(29, 111)(30, 138)(31, 113)(32, 139)(33, 141)(34, 114)(35, 116)(36, 118)(37, 142)(38, 120)(39, 143)(40, 121)(41, 123)(42, 127)(43, 144)(44, 128)(45, 130)(46, 134)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.863 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y2^-1)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, (Y2^-1 * Y3^2)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y2^3, Y3 * Y2^-1 * Y3 * Y2^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 28, 76)(12, 60, 24, 72)(13, 61, 27, 75)(14, 62, 22, 70)(15, 63, 30, 78)(16, 64, 29, 77)(17, 65, 23, 71)(18, 66, 21, 69)(19, 67, 26, 74)(20, 68, 25, 73)(31, 79, 39, 87)(32, 80, 43, 91)(33, 81, 44, 92)(34, 82, 46, 94)(35, 83, 40, 88)(36, 84, 41, 89)(37, 85, 45, 93)(38, 86, 42, 90)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 127, 175, 114, 162, 101, 149)(98, 146, 103, 151, 117, 165, 135, 183, 124, 172, 105, 153)(100, 148, 110, 158, 128, 176, 109, 157, 132, 180, 112, 160)(102, 150, 115, 163, 129, 177, 113, 161, 131, 179, 108, 156)(104, 152, 120, 168, 136, 184, 119, 167, 140, 188, 122, 170)(106, 154, 125, 173, 137, 185, 123, 171, 139, 187, 118, 166)(111, 159, 130, 178, 143, 191, 134, 182, 116, 164, 133, 181)(121, 169, 138, 186, 144, 192, 142, 190, 126, 174, 141, 189)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 113)(6, 97)(7, 118)(8, 121)(9, 123)(10, 98)(11, 128)(12, 130)(13, 99)(14, 101)(15, 129)(16, 127)(17, 133)(18, 132)(19, 134)(20, 102)(21, 136)(22, 138)(23, 103)(24, 105)(25, 137)(26, 135)(27, 141)(28, 140)(29, 142)(30, 106)(31, 115)(32, 143)(33, 107)(34, 112)(35, 114)(36, 116)(37, 109)(38, 110)(39, 125)(40, 144)(41, 117)(42, 122)(43, 124)(44, 126)(45, 119)(46, 120)(47, 131)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.864 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y1^-1 * Y2, Y1^6, (Y1^-1 * Y2 * Y1^-1)^2, (Y3 * Y1^-2)^2, (Y3 * Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 65, 17, 64, 16, 53, 5, 49)(3, 57, 9, 73, 25, 85, 37, 66, 18, 59, 11, 51)(4, 60, 12, 79, 31, 86, 38, 67, 19, 61, 13, 52)(7, 68, 20, 62, 14, 80, 32, 82, 34, 70, 22, 55)(8, 71, 23, 63, 15, 81, 33, 83, 35, 72, 24, 56)(10, 69, 21, 84, 36, 94, 46, 91, 43, 76, 28, 58)(26, 87, 39, 77, 29, 89, 41, 95, 47, 92, 44, 74)(27, 88, 40, 78, 30, 90, 42, 96, 48, 93, 45, 75)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 18)(8, 21)(9, 26)(11, 29)(12, 27)(13, 30)(15, 28)(16, 25)(17, 34)(19, 36)(20, 39)(22, 41)(23, 40)(24, 42)(31, 43)(32, 44)(33, 45)(35, 46)(37, 47)(38, 48)(49, 52)(50, 56)(51, 58)(53, 63)(54, 67)(55, 69)(57, 75)(59, 78)(60, 74)(61, 77)(62, 76)(64, 79)(65, 83)(66, 84)(68, 88)(70, 90)(71, 87)(72, 89)(73, 91)(80, 93)(81, 92)(82, 94)(85, 96)(86, 95)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.865 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^6, (Y3^2 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 4, 52, 13, 61, 31, 79, 16, 64, 5, 53)(2, 50, 7, 55, 21, 69, 40, 88, 24, 72, 8, 56)(3, 51, 9, 57, 25, 73, 43, 91, 26, 74, 10, 58)(6, 54, 17, 65, 34, 82, 46, 94, 35, 83, 18, 66)(11, 59, 27, 75, 14, 62, 32, 80, 44, 92, 28, 76)(12, 60, 29, 77, 15, 63, 33, 81, 45, 93, 30, 78)(19, 67, 36, 84, 22, 70, 41, 89, 47, 95, 37, 85)(20, 68, 38, 86, 23, 71, 42, 90, 48, 96, 39, 87)(97, 98)(99, 102)(100, 107)(101, 110)(103, 115)(104, 118)(105, 116)(106, 119)(108, 113)(109, 120)(111, 114)(112, 117)(121, 131)(122, 130)(123, 132)(124, 137)(125, 134)(126, 138)(127, 140)(128, 133)(129, 135)(136, 143)(139, 144)(141, 142)(145, 147)(146, 150)(148, 156)(149, 159)(151, 164)(152, 167)(153, 163)(154, 166)(155, 161)(157, 170)(158, 162)(160, 169)(165, 179)(168, 178)(171, 182)(172, 186)(173, 180)(174, 185)(175, 189)(176, 183)(177, 181)(184, 192)(187, 191)(188, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.867
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.866 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y1^2, (Y1 * Y2)^2, (Y1 * Y3 * Y2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (Y3 * Y2^-2)^2, Y2^-2 * Y1^4, (Y3 * Y1^-2)^2, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 32, 80)(14, 62, 33, 81)(15, 63, 34, 82)(16, 64, 35, 83)(17, 65, 36, 84)(20, 68, 37, 85)(22, 70, 40, 88)(24, 72, 41, 89)(25, 73, 42, 90)(26, 74, 43, 91)(27, 75, 44, 92)(30, 78, 45, 93)(31, 79, 46, 94)(38, 86, 47, 95)(39, 87, 48, 96)(97, 98, 103, 116, 107, 101)(99, 104, 102, 106, 118, 109)(100, 110, 125, 135, 117, 112)(105, 120, 114, 127, 133, 122)(108, 126, 136, 121, 115, 123)(111, 119, 113, 128, 134, 124)(129, 137, 131, 139, 144, 142)(130, 138, 143, 141, 132, 140)(145, 147, 155, 166, 151, 150)(146, 152, 149, 157, 164, 154)(148, 159, 165, 182, 173, 161)(153, 169, 181, 174, 162, 171)(156, 168, 163, 170, 184, 175)(158, 167, 160, 172, 183, 176)(177, 189, 192, 186, 179, 188)(178, 185, 180, 190, 191, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.868
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.867 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y3^6, (Y3^2 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 13, 61, 109, 157, 31, 79, 127, 175, 16, 64, 112, 160, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 21, 69, 117, 165, 40, 88, 136, 184, 24, 72, 120, 168, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 25, 73, 121, 169, 43, 91, 139, 187, 26, 74, 122, 170, 10, 58, 106, 154)(6, 54, 102, 150, 17, 65, 113, 161, 34, 82, 130, 178, 46, 94, 142, 190, 35, 83, 131, 179, 18, 66, 114, 162)(11, 59, 107, 155, 27, 75, 123, 171, 14, 62, 110, 158, 32, 80, 128, 176, 44, 92, 140, 188, 28, 76, 124, 172)(12, 60, 108, 156, 29, 77, 125, 173, 15, 63, 111, 159, 33, 81, 129, 177, 45, 93, 141, 189, 30, 78, 126, 174)(19, 67, 115, 163, 36, 84, 132, 180, 22, 70, 118, 166, 41, 89, 137, 185, 47, 95, 143, 191, 37, 85, 133, 181)(20, 68, 116, 164, 38, 86, 134, 182, 23, 71, 119, 167, 42, 90, 138, 186, 48, 96, 144, 192, 39, 87, 135, 183)
	L = (1, 50)(2, 49)(3, 54)(4, 59)(5, 62)(6, 51)(7, 67)(8, 70)(9, 68)(10, 71)(11, 52)(12, 65)(13, 72)(14, 53)(15, 66)(16, 69)(17, 60)(18, 63)(19, 55)(20, 57)(21, 64)(22, 56)(23, 58)(24, 61)(25, 83)(26, 82)(27, 84)(28, 89)(29, 86)(30, 90)(31, 92)(32, 85)(33, 87)(34, 74)(35, 73)(36, 75)(37, 80)(38, 77)(39, 81)(40, 95)(41, 76)(42, 78)(43, 96)(44, 79)(45, 94)(46, 93)(47, 88)(48, 91)(97, 147)(98, 150)(99, 145)(100, 156)(101, 159)(102, 146)(103, 164)(104, 167)(105, 163)(106, 166)(107, 161)(108, 148)(109, 170)(110, 162)(111, 149)(112, 169)(113, 155)(114, 158)(115, 153)(116, 151)(117, 179)(118, 154)(119, 152)(120, 178)(121, 160)(122, 157)(123, 182)(124, 186)(125, 180)(126, 185)(127, 189)(128, 183)(129, 181)(130, 168)(131, 165)(132, 173)(133, 177)(134, 171)(135, 176)(136, 192)(137, 174)(138, 172)(139, 191)(140, 190)(141, 175)(142, 188)(143, 187)(144, 184)
	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 E17.865
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.868 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C6 x C2) : C2) (small group id <48, 43>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 144>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), (R * Y3)^2, R * Y1 * R * Y2, Y2^2 * Y1^2, (Y1 * Y2)^2, (Y1 * Y3 * Y2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y1 * Y2^-1, (Y3 * Y2^-2)^2, Y2^-2 * Y1^4, (Y3 * Y1^-2)^2, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 32, 80, 128, 176)(14, 62, 110, 158, 33, 81, 129, 177)(15, 63, 111, 159, 34, 82, 130, 178)(16, 64, 112, 160, 35, 83, 131, 179)(17, 65, 113, 161, 36, 84, 132, 180)(20, 68, 116, 164, 37, 85, 133, 181)(22, 70, 118, 166, 40, 88, 136, 184)(24, 72, 120, 168, 41, 89, 137, 185)(25, 73, 121, 169, 42, 90, 138, 186)(26, 74, 122, 170, 43, 91, 139, 187)(27, 75, 123, 171, 44, 92, 140, 188)(30, 78, 126, 174, 45, 93, 141, 189)(31, 79, 127, 175, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191)(39, 87, 135, 183, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 77)(15, 71)(16, 52)(17, 80)(18, 79)(19, 75)(20, 59)(21, 64)(22, 61)(23, 65)(24, 66)(25, 67)(26, 57)(27, 60)(28, 63)(29, 87)(30, 88)(31, 85)(32, 86)(33, 89)(34, 90)(35, 91)(36, 92)(37, 74)(38, 76)(39, 69)(40, 73)(41, 83)(42, 95)(43, 96)(44, 82)(45, 84)(46, 81)(47, 93)(48, 94)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 166)(108, 168)(109, 164)(110, 167)(111, 165)(112, 172)(113, 148)(114, 171)(115, 170)(116, 154)(117, 182)(118, 151)(119, 160)(120, 163)(121, 181)(122, 184)(123, 153)(124, 183)(125, 161)(126, 162)(127, 156)(128, 158)(129, 189)(130, 185)(131, 188)(132, 190)(133, 174)(134, 173)(135, 176)(136, 175)(137, 180)(138, 179)(139, 178)(140, 177)(141, 192)(142, 191)(143, 187)(144, 186)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.866
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.869 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
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 :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, (Y3 * Y2)^2, Y1 * Y2 * Y1^-2 * Y3 * Y1, Y1^6, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^2 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 50, 2, 54, 6, 63, 15, 62, 14, 53, 5, 49)(3, 56, 8, 68, 20, 77, 29, 72, 24, 58, 10, 51)(4, 59, 11, 64, 16, 78, 30, 75, 27, 60, 12, 52)(7, 65, 17, 80, 32, 76, 28, 61, 13, 67, 19, 55)(9, 69, 21, 84, 36, 90, 42, 87, 39, 70, 22, 57)(18, 81, 33, 92, 44, 88, 40, 71, 23, 82, 34, 66)(25, 79, 31, 91, 43, 89, 41, 74, 26, 83, 35, 73)(37, 93, 45, 96, 48, 95, 47, 86, 38, 94, 46, 85)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 16)(8, 18)(10, 22)(11, 25)(13, 26)(14, 28)(15, 29)(17, 31)(19, 34)(20, 36)(21, 37)(23, 38)(24, 40)(27, 41)(30, 42)(32, 44)(33, 45)(35, 46)(39, 47)(43, 48)(49, 52)(50, 56)(51, 57)(53, 61)(54, 65)(55, 66)(58, 71)(59, 69)(60, 74)(62, 72)(63, 78)(64, 79)(67, 83)(68, 81)(70, 86)(73, 85)(75, 87)(76, 88)(77, 90)(80, 91)(82, 94)(84, 93)(89, 95)(92, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.870 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: halfedge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, (Y1 * Y2 * Y1^2)^2, (Y2 * Y1^-1)^4, (Y2 * Y1^2 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 50, 2, 53, 5, 59, 11, 58, 10, 52, 4, 49)(3, 55, 7, 63, 15, 70, 22, 66, 18, 56, 8, 51)(6, 61, 13, 73, 25, 69, 21, 76, 28, 62, 14, 54)(9, 67, 19, 72, 24, 60, 12, 71, 23, 68, 20, 57)(16, 78, 30, 89, 41, 81, 33, 84, 36, 79, 31, 64)(17, 80, 32, 88, 40, 77, 29, 86, 38, 74, 26, 65)(27, 87, 39, 82, 34, 85, 37, 92, 44, 83, 35, 75)(42, 94, 46, 91, 43, 95, 47, 96, 48, 93, 45, 90)
	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, 34)(20, 30)(23, 35)(24, 36)(25, 37)(28, 40)(31, 42)(32, 43)(38, 45)(39, 46)(41, 47)(44, 48)(49, 51)(50, 54)(52, 57)(53, 60)(55, 64)(56, 65)(58, 69)(59, 70)(61, 74)(62, 75)(63, 77)(66, 81)(67, 82)(68, 78)(71, 83)(72, 84)(73, 85)(76, 88)(79, 90)(80, 91)(86, 93)(87, 94)(89, 95)(92, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.871 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1, (Y2 * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y1, Y3^6 ]
Map::
	R = (1, 49, 4, 52, 12, 60, 27, 75, 14, 62, 5, 53)(2, 50, 7, 55, 18, 66, 35, 83, 20, 68, 8, 56)(3, 51, 9, 57, 22, 70, 39, 87, 24, 72, 10, 58)(6, 54, 15, 63, 30, 78, 44, 92, 32, 80, 16, 64)(11, 59, 25, 73, 41, 89, 28, 76, 13, 61, 26, 74)(17, 65, 33, 81, 46, 94, 36, 84, 19, 67, 34, 82)(21, 69, 37, 85, 47, 95, 40, 88, 23, 71, 38, 86)(29, 77, 42, 90, 48, 96, 45, 93, 31, 79, 43, 91)(97, 98)(99, 102)(100, 105)(101, 109)(103, 111)(104, 115)(106, 119)(107, 117)(108, 121)(110, 120)(112, 127)(113, 125)(114, 129)(116, 128)(118, 133)(122, 130)(123, 131)(124, 136)(126, 138)(132, 141)(134, 139)(135, 140)(137, 142)(143, 144)(145, 147)(146, 150)(148, 155)(149, 152)(151, 161)(153, 165)(154, 160)(156, 162)(157, 163)(158, 172)(159, 173)(164, 180)(166, 174)(167, 175)(168, 184)(169, 177)(170, 182)(171, 183)(176, 189)(178, 187)(179, 188)(181, 186)(185, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.874
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.872 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^6, Y3^-2 * Y2 * Y3^3 * Y1 * Y3^-1, (Y3 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
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, 29, 77, 21, 69, 31, 79, 16, 64)(9, 57, 19, 67, 33, 81, 17, 65, 32, 80, 20, 68)(11, 59, 22, 70, 35, 83, 28, 76, 37, 85, 23, 71)(13, 61, 26, 74, 39, 87, 24, 72, 38, 86, 27, 75)(30, 78, 42, 90, 34, 82, 41, 89, 47, 95, 43, 91)(36, 84, 45, 93, 40, 88, 44, 92, 48, 96, 46, 94)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 120)(110, 124)(111, 123)(112, 126)(114, 121)(115, 130)(116, 118)(119, 132)(122, 136)(125, 137)(127, 135)(128, 139)(129, 133)(131, 140)(134, 142)(138, 141)(143, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 165)(156, 168)(158, 172)(159, 171)(160, 174)(162, 169)(163, 178)(164, 166)(167, 180)(170, 184)(173, 185)(175, 183)(176, 187)(177, 181)(179, 188)(182, 190)(186, 189)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.875
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.873 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
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, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2 * Y1^-3 * Y2^2, Y1^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y2 * Y1^-2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2^2 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2^3 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 19, 67)(10, 58, 21, 69)(11, 59, 22, 70)(13, 61, 26, 74)(14, 62, 28, 76)(16, 64, 29, 77)(17, 65, 30, 78)(18, 66, 31, 79)(20, 68, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(25, 73, 37, 85)(27, 75, 39, 87)(32, 80, 42, 90)(34, 82, 43, 91)(38, 86, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(44, 92, 48, 96)(97, 98, 101, 107, 103, 99)(100, 105, 114, 118, 116, 106)(102, 109, 121, 111, 123, 110)(104, 112, 120, 108, 119, 113)(115, 126, 137, 129, 132, 128)(117, 130, 135, 127, 134, 122)(124, 136, 125, 133, 140, 131)(138, 142, 139, 143, 144, 141)(145, 147, 151, 155, 149, 146)(148, 154, 164, 166, 162, 153)(150, 158, 171, 159, 169, 157)(152, 161, 167, 156, 168, 160)(163, 176, 180, 177, 185, 174)(165, 170, 182, 175, 183, 178)(172, 179, 188, 181, 173, 184)(186, 189, 192, 191, 187, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.876
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.874 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y1, (Y2 * Y1)^2, Y3^2 * Y2 * Y3^-2 * Y1, Y3^6 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 12, 60, 108, 156, 27, 75, 123, 171, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 18, 66, 114, 162, 35, 83, 131, 179, 20, 68, 116, 164, 8, 56, 104, 152)(3, 51, 99, 147, 9, 57, 105, 153, 22, 70, 118, 166, 39, 87, 135, 183, 24, 72, 120, 168, 10, 58, 106, 154)(6, 54, 102, 150, 15, 63, 111, 159, 30, 78, 126, 174, 44, 92, 140, 188, 32, 80, 128, 176, 16, 64, 112, 160)(11, 59, 107, 155, 25, 73, 121, 169, 41, 89, 137, 185, 28, 76, 124, 172, 13, 61, 109, 157, 26, 74, 122, 170)(17, 65, 113, 161, 33, 81, 129, 177, 46, 94, 142, 190, 36, 84, 132, 180, 19, 67, 115, 163, 34, 82, 130, 178)(21, 69, 117, 165, 37, 85, 133, 181, 47, 95, 143, 191, 40, 88, 136, 184, 23, 71, 119, 167, 38, 86, 134, 182)(29, 77, 125, 173, 42, 90, 138, 186, 48, 96, 144, 192, 45, 93, 141, 189, 31, 79, 127, 175, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 54)(4, 57)(5, 61)(6, 51)(7, 63)(8, 67)(9, 52)(10, 71)(11, 69)(12, 73)(13, 53)(14, 72)(15, 55)(16, 79)(17, 77)(18, 81)(19, 56)(20, 80)(21, 59)(22, 85)(23, 58)(24, 62)(25, 60)(26, 82)(27, 83)(28, 88)(29, 65)(30, 90)(31, 64)(32, 68)(33, 66)(34, 74)(35, 75)(36, 93)(37, 70)(38, 91)(39, 92)(40, 76)(41, 94)(42, 78)(43, 86)(44, 87)(45, 84)(46, 89)(47, 96)(48, 95)(97, 147)(98, 150)(99, 145)(100, 155)(101, 152)(102, 146)(103, 161)(104, 149)(105, 165)(106, 160)(107, 148)(108, 162)(109, 163)(110, 172)(111, 173)(112, 154)(113, 151)(114, 156)(115, 157)(116, 180)(117, 153)(118, 174)(119, 175)(120, 184)(121, 177)(122, 182)(123, 183)(124, 158)(125, 159)(126, 166)(127, 167)(128, 189)(129, 169)(130, 187)(131, 188)(132, 164)(133, 186)(134, 170)(135, 171)(136, 168)(137, 191)(138, 181)(139, 178)(140, 179)(141, 176)(142, 192)(143, 185)(144, 190)
	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 E17.871
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.875 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^6, Y3^-2 * Y2 * Y3^3 * Y1 * Y3^-1, (Y3 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-2 * Y1 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-2 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 3, 51, 99, 147, 8, 56, 104, 152, 18, 66, 114, 162, 10, 58, 106, 154, 4, 52, 100, 148)(2, 50, 98, 146, 5, 53, 101, 149, 12, 60, 108, 156, 25, 73, 121, 169, 14, 62, 110, 158, 6, 54, 102, 150)(7, 55, 103, 151, 15, 63, 111, 159, 29, 77, 125, 173, 21, 69, 117, 165, 31, 79, 127, 175, 16, 64, 112, 160)(9, 57, 105, 153, 19, 67, 115, 163, 33, 81, 129, 177, 17, 65, 113, 161, 32, 80, 128, 176, 20, 68, 116, 164)(11, 59, 107, 155, 22, 70, 118, 166, 35, 83, 131, 179, 28, 76, 124, 172, 37, 85, 133, 181, 23, 71, 119, 167)(13, 61, 109, 157, 26, 74, 122, 170, 39, 87, 135, 183, 24, 72, 120, 168, 38, 86, 134, 182, 27, 75, 123, 171)(30, 78, 126, 174, 42, 90, 138, 186, 34, 82, 130, 178, 41, 89, 137, 185, 47, 95, 143, 191, 43, 91, 139, 187)(36, 84, 132, 180, 45, 93, 141, 189, 40, 88, 136, 184, 44, 92, 140, 188, 48, 96, 144, 192, 46, 94, 142, 190)
	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, 75)(16, 78)(17, 56)(18, 73)(19, 82)(20, 70)(21, 58)(22, 68)(23, 84)(24, 60)(25, 66)(26, 88)(27, 63)(28, 62)(29, 89)(30, 64)(31, 87)(32, 91)(33, 85)(34, 67)(35, 92)(36, 71)(37, 81)(38, 94)(39, 79)(40, 74)(41, 77)(42, 93)(43, 80)(44, 83)(45, 90)(46, 86)(47, 96)(48, 95)(97, 146)(98, 145)(99, 151)(100, 153)(101, 155)(102, 157)(103, 147)(104, 161)(105, 148)(106, 165)(107, 149)(108, 168)(109, 150)(110, 172)(111, 171)(112, 174)(113, 152)(114, 169)(115, 178)(116, 166)(117, 154)(118, 164)(119, 180)(120, 156)(121, 162)(122, 184)(123, 159)(124, 158)(125, 185)(126, 160)(127, 183)(128, 187)(129, 181)(130, 163)(131, 188)(132, 167)(133, 177)(134, 190)(135, 175)(136, 170)(137, 173)(138, 189)(139, 176)(140, 179)(141, 186)(142, 182)(143, 192)(144, 191)
	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 E17.872
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.876 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
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, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1^-1)^3, Y2 * Y1^-3 * Y2^2, Y1^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^2 * Y3 * Y2 * Y1^-2 * Y3 * Y2^-1, Y2^-1 * Y1 * Y3 * Y2^2 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2^3 * Y3 * Y1^-3, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 15, 63, 111, 159)(9, 57, 105, 153, 19, 67, 115, 163)(10, 58, 106, 154, 21, 69, 117, 165)(11, 59, 107, 155, 22, 70, 118, 166)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 28, 76, 124, 172)(16, 64, 112, 160, 29, 77, 125, 173)(17, 65, 113, 161, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175)(20, 68, 116, 164, 33, 81, 129, 177)(23, 71, 119, 167, 35, 83, 131, 179)(24, 72, 120, 168, 36, 84, 132, 180)(25, 73, 121, 169, 37, 85, 133, 181)(27, 75, 123, 171, 39, 87, 135, 183)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 43, 91, 139, 187)(38, 86, 134, 182, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 66)(10, 52)(11, 55)(12, 71)(13, 73)(14, 54)(15, 75)(16, 72)(17, 56)(18, 70)(19, 78)(20, 58)(21, 82)(22, 68)(23, 65)(24, 60)(25, 63)(26, 69)(27, 62)(28, 88)(29, 85)(30, 89)(31, 86)(32, 67)(33, 84)(34, 87)(35, 76)(36, 80)(37, 92)(38, 74)(39, 79)(40, 77)(41, 81)(42, 94)(43, 95)(44, 83)(45, 90)(46, 91)(47, 96)(48, 93)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 155)(104, 161)(105, 148)(106, 164)(107, 149)(108, 168)(109, 150)(110, 171)(111, 169)(112, 152)(113, 167)(114, 153)(115, 176)(116, 166)(117, 170)(118, 162)(119, 156)(120, 160)(121, 157)(122, 182)(123, 159)(124, 179)(125, 184)(126, 163)(127, 183)(128, 180)(129, 185)(130, 165)(131, 188)(132, 177)(133, 173)(134, 175)(135, 178)(136, 172)(137, 174)(138, 189)(139, 190)(140, 181)(141, 192)(142, 186)(143, 187)(144, 191)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.873
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.877 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (Y1 * Y3^-1 * Y1 * Y3)^2, (Y3^-1 * Y1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 12, 60)(7, 55, 15, 63)(8, 56, 16, 64)(9, 57, 17, 65)(10, 58, 18, 66)(13, 61, 23, 71)(14, 62, 24, 72)(19, 67, 33, 81)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 34, 82)(25, 73, 39, 87)(28, 76, 40, 88)(29, 77, 41, 89)(30, 78, 36, 84)(31, 79, 37, 85)(32, 80, 42, 90)(35, 83, 44, 92)(38, 86, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 109, 157)(104, 152, 110, 158)(107, 155, 113, 161)(108, 156, 114, 162)(111, 159, 119, 167)(112, 160, 120, 168)(115, 163, 125, 173)(116, 164, 126, 174)(117, 165, 127, 175)(118, 166, 128, 176)(121, 169, 131, 179)(122, 170, 132, 180)(123, 171, 133, 181)(124, 172, 134, 182)(129, 177, 137, 185)(130, 178, 138, 186)(135, 183, 140, 188)(136, 184, 141, 189)(139, 187, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 101)(5, 97)(6, 109)(7, 104)(8, 98)(9, 106)(10, 99)(11, 115)(12, 117)(13, 110)(14, 102)(15, 121)(16, 123)(17, 125)(18, 127)(19, 116)(20, 107)(21, 118)(22, 108)(23, 131)(24, 133)(25, 122)(26, 111)(27, 124)(28, 112)(29, 126)(30, 113)(31, 128)(32, 114)(33, 139)(34, 129)(35, 132)(36, 119)(37, 134)(38, 120)(39, 142)(40, 135)(41, 143)(42, 137)(43, 130)(44, 144)(45, 140)(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) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.895
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.878 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y2^6, Y2^6, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y2 * Y1 * Y2^-1 * 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, 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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.879 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1 * Y2)^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, 27, 75)(16, 64, 30, 78)(18, 66, 25, 73)(19, 67, 34, 82)(20, 68, 22, 70)(23, 71, 36, 84)(26, 74, 40, 88)(29, 77, 41, 89)(31, 79, 39, 87)(32, 80, 43, 91)(33, 81, 37, 85)(35, 83, 44, 92)(38, 86, 46, 94)(42, 90, 45, 93)(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, 125, 173, 117, 165, 127, 175, 112, 160)(105, 153, 115, 163, 129, 177, 113, 161, 128, 176, 116, 164)(107, 155, 118, 166, 131, 179, 124, 172, 133, 181, 119, 167)(109, 157, 122, 170, 135, 183, 120, 168, 134, 182, 123, 171)(126, 174, 138, 186, 130, 178, 137, 185, 143, 191, 139, 187)(132, 180, 141, 189, 136, 184, 140, 188, 144, 192, 142, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.880 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(14, 62, 31, 79)(16, 64, 21, 69)(17, 65, 32, 80)(18, 66, 35, 83)(20, 68, 30, 78)(23, 71, 29, 77)(25, 73, 33, 81)(26, 74, 41, 89)(28, 76, 45, 93)(34, 82, 38, 86)(36, 84, 44, 92)(37, 85, 40, 88)(39, 87, 43, 91)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 121, 169, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 116, 164, 104, 152)(100, 148, 107, 155, 122, 170, 138, 186, 124, 172, 108, 156)(103, 151, 113, 161, 130, 178, 142, 190, 132, 180, 114, 162)(105, 153, 117, 165, 133, 181, 127, 175, 115, 163, 119, 167)(109, 157, 125, 173, 111, 159, 120, 168, 136, 184, 126, 174)(118, 166, 134, 182, 143, 191, 141, 189, 131, 179, 135, 183)(123, 171, 139, 187, 128, 176, 137, 185, 144, 192, 140, 188)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 122)(11, 99)(12, 101)(13, 123)(14, 124)(15, 128)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 134)(22, 105)(23, 135)(24, 137)(25, 138)(26, 106)(27, 109)(28, 110)(29, 139)(30, 140)(31, 141)(32, 111)(33, 142)(34, 112)(35, 115)(36, 116)(37, 143)(38, 117)(39, 119)(40, 144)(41, 120)(42, 121)(43, 125)(44, 126)(45, 127)(46, 129)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.882
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.881 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^6, (Y2^-1 * Y1)^3, (Y2^-3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 23, 71)(11, 59, 21, 69)(12, 60, 26, 74)(14, 62, 29, 77)(16, 64, 32, 80)(17, 65, 30, 78)(18, 66, 35, 83)(20, 68, 38, 86)(22, 70, 31, 79)(24, 72, 33, 81)(25, 73, 40, 88)(27, 75, 43, 91)(28, 76, 37, 85)(34, 82, 45, 93)(36, 84, 48, 96)(39, 87, 44, 92)(41, 89, 46, 94)(42, 90, 47, 95)(97, 145, 99, 147, 106, 154, 120, 168, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 129, 177, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 137, 185, 123, 171, 108, 156)(103, 151, 113, 161, 130, 178, 142, 190, 132, 180, 114, 162)(105, 153, 115, 163, 133, 181, 125, 173, 128, 176, 118, 166)(109, 157, 124, 172, 134, 182, 119, 167, 127, 175, 111, 159)(117, 165, 131, 179, 143, 191, 139, 187, 141, 189, 135, 183)(122, 170, 138, 186, 144, 192, 136, 184, 140, 188, 126, 174)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 117)(10, 121)(11, 99)(12, 101)(13, 122)(14, 123)(15, 126)(16, 130)(17, 102)(18, 104)(19, 131)(20, 132)(21, 105)(22, 135)(23, 136)(24, 137)(25, 106)(26, 109)(27, 110)(28, 138)(29, 139)(30, 111)(31, 140)(32, 141)(33, 142)(34, 112)(35, 115)(36, 116)(37, 143)(38, 144)(39, 118)(40, 119)(41, 120)(42, 124)(43, 125)(44, 127)(45, 128)(46, 129)(47, 133)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.882 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, Y2^6, (Y2^-3 * Y1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(14, 62, 31, 79)(16, 64, 35, 83)(17, 65, 33, 81)(18, 66, 38, 86)(20, 68, 42, 90)(21, 69, 37, 85)(23, 71, 34, 82)(25, 73, 36, 84)(26, 74, 32, 80)(28, 76, 41, 89)(29, 77, 40, 88)(30, 78, 39, 87)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 121, 169, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 132, 180, 116, 164, 104, 152)(100, 148, 107, 155, 122, 170, 141, 189, 124, 172, 108, 156)(103, 151, 113, 161, 133, 181, 144, 192, 135, 183, 114, 162)(105, 153, 117, 165, 139, 187, 127, 175, 134, 182, 119, 167)(109, 157, 125, 173, 129, 177, 120, 168, 140, 188, 126, 174)(111, 159, 128, 176, 142, 190, 138, 186, 123, 171, 130, 178)(115, 163, 136, 184, 118, 166, 131, 179, 143, 191, 137, 185)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 122)(11, 99)(12, 101)(13, 123)(14, 124)(15, 129)(16, 133)(17, 102)(18, 104)(19, 134)(20, 135)(21, 131)(22, 105)(23, 136)(24, 128)(25, 141)(26, 106)(27, 109)(28, 110)(29, 130)(30, 138)(31, 137)(32, 120)(33, 111)(34, 125)(35, 117)(36, 144)(37, 112)(38, 115)(39, 116)(40, 119)(41, 127)(42, 126)(43, 143)(44, 142)(45, 121)(46, 140)(47, 139)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.880
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.883 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y1 * Y3)^2, Y2 * Y3 * Y2^-1 * Y3, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y2^6, Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2^2 * Y1 * Y2^-3 * Y1 * Y2, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 13, 61)(6, 54, 15, 63)(8, 56, 19, 67)(10, 58, 24, 72)(11, 59, 22, 70)(12, 60, 27, 75)(14, 62, 31, 79)(16, 64, 33, 81)(17, 65, 30, 78)(18, 66, 21, 69)(20, 68, 38, 86)(23, 71, 32, 80)(25, 73, 34, 82)(26, 74, 43, 91)(28, 76, 47, 95)(29, 77, 37, 85)(35, 83, 41, 89)(36, 84, 44, 92)(39, 87, 46, 94)(40, 88, 42, 90)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 121, 169, 110, 158, 101, 149)(98, 146, 102, 150, 112, 160, 130, 178, 116, 164, 104, 152)(100, 148, 107, 155, 122, 170, 141, 189, 124, 172, 108, 156)(103, 151, 113, 161, 131, 179, 144, 192, 132, 180, 114, 162)(105, 153, 117, 165, 135, 183, 127, 175, 137, 185, 119, 167)(109, 157, 125, 173, 140, 188, 120, 168, 138, 186, 126, 174)(111, 159, 123, 171, 142, 190, 134, 182, 139, 187, 128, 176)(115, 163, 133, 181, 143, 191, 129, 177, 136, 184, 118, 166)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 108)(6, 113)(7, 98)(8, 114)(9, 118)(10, 122)(11, 99)(12, 101)(13, 123)(14, 124)(15, 126)(16, 131)(17, 102)(18, 104)(19, 117)(20, 132)(21, 115)(22, 105)(23, 136)(24, 139)(25, 141)(26, 106)(27, 109)(28, 110)(29, 142)(30, 111)(31, 143)(32, 138)(33, 137)(34, 144)(35, 112)(36, 116)(37, 135)(38, 140)(39, 133)(40, 119)(41, 129)(42, 128)(43, 120)(44, 134)(45, 121)(46, 125)(47, 127)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.884 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^6, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 34, 82)(24, 72, 35, 83)(25, 73, 36, 84)(26, 74, 37, 85)(27, 75, 38, 86)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 139, 187, 124, 172, 108, 156)(103, 151, 113, 161, 132, 180, 142, 190, 135, 183, 114, 162)(106, 154, 119, 167, 141, 189, 127, 175, 123, 171, 120, 168)(109, 157, 125, 173, 122, 170, 118, 166, 140, 188, 126, 174)(112, 160, 130, 178, 144, 192, 138, 186, 134, 182, 131, 179)(115, 163, 136, 184, 133, 181, 129, 177, 143, 191, 137, 185)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 102)(17, 133)(18, 134)(19, 104)(20, 138)(21, 139)(22, 105)(23, 121)(24, 125)(25, 119)(26, 107)(27, 108)(28, 126)(29, 120)(30, 124)(31, 110)(32, 142)(33, 111)(34, 132)(35, 136)(36, 130)(37, 113)(38, 114)(39, 137)(40, 131)(41, 135)(42, 116)(43, 117)(44, 141)(45, 140)(46, 128)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.885
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.885 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, Y2^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-2, (Y1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 38, 86)(18, 66, 30, 78)(24, 72, 37, 85)(25, 73, 32, 80)(26, 74, 36, 84)(28, 76, 40, 88)(29, 77, 41, 89)(31, 79, 34, 82)(33, 81, 35, 83)(39, 87, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 124, 172, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 136, 184, 120, 168, 104, 152)(100, 148, 108, 156, 128, 176, 141, 189, 129, 177, 109, 157)(103, 151, 116, 164, 137, 185, 144, 192, 138, 186, 117, 165)(105, 153, 121, 169, 139, 187, 134, 182, 119, 167, 122, 170)(107, 155, 126, 174, 143, 191, 135, 183, 118, 166, 127, 175)(110, 158, 130, 178, 115, 163, 123, 171, 140, 188, 131, 179)(111, 159, 132, 180, 113, 161, 125, 173, 142, 190, 133, 181)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 125)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 135)(17, 108)(18, 121)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 131)(25, 114)(26, 130)(27, 137)(28, 141)(29, 106)(30, 128)(31, 132)(32, 126)(33, 133)(34, 122)(35, 120)(36, 127)(37, 129)(38, 138)(39, 112)(40, 144)(41, 123)(42, 134)(43, 140)(44, 139)(45, 124)(46, 143)(47, 142)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.884
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.886 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, (R * Y2 * Y3)^2, Y2^6, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 7, 55)(5, 53, 6, 54)(9, 57, 20, 68)(10, 58, 19, 67)(11, 59, 18, 66)(12, 60, 17, 65)(13, 61, 16, 64)(14, 62, 15, 63)(21, 69, 32, 80)(22, 70, 42, 90)(23, 71, 41, 89)(24, 72, 40, 88)(25, 73, 39, 87)(26, 74, 38, 86)(27, 75, 37, 85)(28, 76, 36, 84)(29, 77, 35, 83)(30, 78, 34, 82)(31, 79, 33, 81)(43, 91, 46, 94)(44, 92, 48, 96)(45, 93, 47, 95)(97, 145, 99, 147, 105, 153, 117, 165, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 139, 187, 124, 172, 108, 156)(103, 151, 113, 161, 132, 180, 142, 190, 135, 183, 114, 162)(106, 154, 119, 167, 141, 189, 127, 175, 123, 171, 120, 168)(109, 157, 125, 173, 122, 170, 118, 166, 140, 188, 126, 174)(112, 160, 130, 178, 144, 192, 138, 186, 134, 182, 131, 179)(115, 163, 136, 184, 133, 181, 129, 177, 143, 191, 137, 185)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 102)(17, 133)(18, 134)(19, 104)(20, 138)(21, 139)(22, 105)(23, 121)(24, 125)(25, 119)(26, 107)(27, 108)(28, 126)(29, 120)(30, 124)(31, 110)(32, 142)(33, 111)(34, 132)(35, 136)(36, 130)(37, 113)(38, 114)(39, 137)(40, 131)(41, 135)(42, 116)(43, 117)(44, 141)(45, 140)(46, 128)(47, 144)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.887 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2^6, Y3 * Y2^-1 * Y3 * Y2^2 * Y3 * Y2^-1, (Y2^-2 * Y3 * Y2^-1)^2, (Y2^-3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 27, 75)(11, 59, 21, 69)(12, 60, 23, 71)(13, 61, 19, 67)(15, 63, 20, 68)(16, 64, 38, 86)(18, 66, 37, 85)(24, 72, 30, 78)(25, 73, 36, 84)(26, 74, 32, 80)(28, 76, 40, 88)(29, 77, 42, 90)(31, 79, 35, 83)(33, 81, 34, 82)(39, 87, 41, 89)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 106, 154, 124, 172, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 136, 184, 120, 168, 104, 152)(100, 148, 108, 156, 128, 176, 141, 189, 129, 177, 109, 157)(103, 151, 116, 164, 137, 185, 144, 192, 138, 186, 117, 165)(105, 153, 121, 169, 115, 163, 134, 182, 139, 187, 122, 170)(107, 155, 126, 174, 143, 191, 135, 183, 113, 161, 127, 175)(110, 158, 130, 178, 140, 188, 123, 171, 119, 167, 131, 179)(111, 159, 132, 180, 118, 166, 125, 173, 142, 190, 133, 181)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 117)(10, 125)(11, 99)(12, 118)(13, 113)(14, 116)(15, 101)(16, 135)(17, 109)(18, 130)(19, 102)(20, 110)(21, 105)(22, 108)(23, 104)(24, 122)(25, 131)(26, 120)(27, 138)(28, 141)(29, 106)(30, 128)(31, 132)(32, 126)(33, 133)(34, 114)(35, 121)(36, 127)(37, 129)(38, 137)(39, 112)(40, 144)(41, 134)(42, 123)(43, 140)(44, 139)(45, 124)(46, 143)(47, 142)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, Y2^-1 * Y1 * Y2 * Y1, Y2^3 * Y1, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2 * Y3)^2, (Y3 * Y2^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 13, 61)(10, 58, 14, 62)(11, 59, 15, 63)(12, 60, 16, 64)(17, 65, 23, 71)(18, 66, 24, 72)(19, 67, 25, 73)(20, 68, 26, 74)(21, 69, 27, 75)(22, 70, 28, 76)(29, 77, 35, 83)(30, 78, 36, 84)(31, 79, 37, 85)(32, 80, 38, 86)(33, 81, 39, 87)(34, 82, 40, 88)(41, 89, 44, 92)(42, 90, 45, 93)(43, 91, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 104, 152, 98, 146, 102, 150, 101, 149)(100, 148, 106, 154, 111, 159, 103, 151, 110, 158, 107, 155)(105, 153, 113, 161, 120, 168, 109, 157, 119, 167, 114, 162)(108, 156, 117, 165, 124, 172, 112, 160, 123, 171, 118, 166)(115, 163, 127, 175, 132, 180, 121, 169, 133, 181, 126, 174)(116, 164, 128, 176, 135, 183, 122, 170, 134, 182, 129, 177)(125, 173, 137, 185, 130, 178, 131, 179, 140, 188, 136, 184)(138, 186, 143, 191, 139, 187, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 103)(3, 105)(4, 97)(5, 108)(6, 109)(7, 98)(8, 112)(9, 99)(10, 115)(11, 116)(12, 101)(13, 102)(14, 121)(15, 122)(16, 104)(17, 125)(18, 126)(19, 106)(20, 107)(21, 128)(22, 130)(23, 131)(24, 132)(25, 110)(26, 111)(27, 134)(28, 136)(29, 113)(30, 114)(31, 138)(32, 117)(33, 139)(34, 118)(35, 119)(36, 120)(37, 141)(38, 123)(39, 142)(40, 124)(41, 143)(42, 127)(43, 129)(44, 144)(45, 133)(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, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.892
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^6, (Y3 * Y2^-3)^2, Y1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 34, 82)(24, 72, 35, 83)(25, 73, 36, 84)(26, 74, 37, 85)(27, 75, 38, 86)(28, 76, 39, 87)(29, 77, 40, 88)(30, 78, 41, 89)(31, 79, 42, 90)(43, 91, 46, 94)(44, 92, 47, 95)(45, 93, 48, 96)(97, 145, 99, 147, 105, 153, 117, 165, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 139, 187, 124, 172, 108, 156)(103, 151, 113, 161, 132, 180, 142, 190, 135, 183, 114, 162)(106, 154, 119, 167, 141, 189, 127, 175, 134, 182, 120, 168)(109, 157, 125, 173, 133, 181, 118, 166, 140, 188, 126, 174)(112, 160, 130, 178, 144, 192, 138, 186, 123, 171, 131, 179)(115, 163, 136, 184, 122, 170, 129, 177, 143, 191, 137, 185)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 102)(17, 133)(18, 134)(19, 104)(20, 138)(21, 139)(22, 105)(23, 132)(24, 136)(25, 130)(26, 107)(27, 108)(28, 137)(29, 131)(30, 135)(31, 110)(32, 142)(33, 111)(34, 121)(35, 125)(36, 119)(37, 113)(38, 114)(39, 126)(40, 120)(41, 124)(42, 116)(43, 117)(44, 144)(45, 143)(46, 128)(47, 141)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.891
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2^6, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2^-2 * R * Y2^-1)^2, Y2^-2 * Y3 * Y2^3 * Y3 * Y2^-1, (Y2 * Y3 * Y2^-1 * Y3)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 15, 63)(10, 58, 16, 64)(11, 59, 17, 65)(12, 60, 18, 66)(13, 61, 19, 67)(14, 62, 20, 68)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 27, 75)(24, 72, 34, 82)(25, 73, 35, 83)(26, 74, 30, 78)(28, 76, 36, 84)(29, 77, 37, 85)(31, 79, 38, 86)(39, 87, 48, 96)(40, 88, 43, 91)(41, 89, 47, 95)(42, 90, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 105, 153, 117, 165, 110, 158, 101, 149)(98, 146, 102, 150, 111, 159, 128, 176, 116, 164, 104, 152)(100, 148, 107, 155, 121, 169, 135, 183, 124, 172, 108, 156)(103, 151, 113, 161, 131, 179, 144, 192, 132, 180, 114, 162)(106, 154, 119, 167, 138, 186, 127, 175, 140, 188, 120, 168)(109, 157, 125, 173, 137, 185, 118, 166, 136, 184, 126, 174)(112, 160, 123, 171, 142, 190, 134, 182, 141, 189, 130, 178)(115, 163, 133, 181, 143, 191, 129, 177, 139, 187, 122, 170)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 112)(7, 98)(8, 115)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 127)(15, 129)(16, 102)(17, 126)(18, 119)(19, 104)(20, 134)(21, 135)(22, 105)(23, 114)(24, 139)(25, 141)(26, 107)(27, 108)(28, 143)(29, 142)(30, 113)(31, 110)(32, 144)(33, 111)(34, 136)(35, 140)(36, 137)(37, 138)(38, 116)(39, 117)(40, 130)(41, 132)(42, 133)(43, 120)(44, 131)(45, 121)(46, 125)(47, 124)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.893
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2^6, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-2, Y1 * Y2^2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 27, 75)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 38, 86)(18, 66, 25, 73)(24, 72, 35, 83)(26, 74, 34, 82)(28, 76, 40, 88)(29, 77, 41, 89)(30, 78, 32, 80)(31, 79, 36, 84)(33, 81, 37, 85)(39, 87, 42, 90)(43, 91, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 106, 154, 124, 172, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 136, 184, 120, 168, 104, 152)(100, 148, 108, 156, 128, 176, 141, 189, 129, 177, 109, 157)(103, 151, 116, 164, 137, 185, 144, 192, 138, 186, 117, 165)(105, 153, 121, 169, 139, 187, 134, 182, 118, 166, 122, 170)(107, 155, 126, 174, 143, 191, 135, 183, 119, 167, 127, 175)(110, 158, 130, 178, 113, 161, 123, 171, 140, 188, 131, 179)(111, 159, 132, 180, 115, 163, 125, 173, 142, 190, 133, 181)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 125)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 135)(17, 108)(18, 126)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 133)(25, 128)(26, 132)(27, 137)(28, 141)(29, 106)(30, 114)(31, 130)(32, 121)(33, 131)(34, 127)(35, 129)(36, 122)(37, 120)(38, 138)(39, 112)(40, 144)(41, 123)(42, 134)(43, 142)(44, 143)(45, 124)(46, 139)(47, 140)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.889
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3)^2, Y2^6, (Y3 * Y2^-3)^2, (Y2^-3 * Y1)^2, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 22, 70)(10, 58, 26, 74)(11, 59, 20, 68)(12, 60, 19, 67)(13, 61, 23, 71)(15, 63, 21, 69)(16, 64, 34, 82)(18, 66, 37, 85)(24, 72, 45, 93)(25, 73, 36, 84)(27, 75, 38, 86)(28, 76, 41, 89)(29, 77, 40, 88)(30, 78, 39, 87)(31, 79, 46, 94)(32, 80, 43, 91)(33, 81, 44, 92)(35, 83, 42, 90)(47, 95, 48, 96)(97, 145, 99, 147, 106, 154, 123, 171, 112, 160, 101, 149)(98, 146, 102, 150, 114, 162, 134, 182, 120, 168, 104, 152)(100, 148, 108, 156, 126, 174, 143, 191, 127, 175, 109, 157)(103, 151, 116, 164, 137, 185, 144, 192, 138, 186, 117, 165)(105, 153, 118, 166, 139, 187, 130, 178, 133, 181, 121, 169)(107, 155, 119, 167, 140, 188, 131, 179, 135, 183, 125, 173)(110, 158, 128, 176, 141, 189, 122, 170, 132, 180, 113, 161)(111, 159, 129, 177, 142, 190, 124, 172, 136, 184, 115, 163)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 115)(7, 98)(8, 119)(9, 116)(10, 124)(11, 99)(12, 113)(13, 118)(14, 117)(15, 101)(16, 131)(17, 108)(18, 135)(19, 102)(20, 105)(21, 110)(22, 109)(23, 104)(24, 142)(25, 136)(26, 137)(27, 143)(28, 106)(29, 132)(30, 133)(31, 141)(32, 140)(33, 139)(34, 138)(35, 112)(36, 125)(37, 126)(38, 144)(39, 114)(40, 121)(41, 122)(42, 130)(43, 129)(44, 128)(45, 127)(46, 120)(47, 123)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.888
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y3 * Y2^3 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y1 * Y2 * Y3)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-1 * Y3 * Y2 * Y1)^2, (Y3 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 17, 65)(8, 56, 19, 67)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 18, 66)(13, 61, 20, 68)(21, 69, 37, 85)(22, 70, 30, 78)(23, 71, 38, 86)(24, 72, 32, 80)(25, 73, 33, 81)(26, 74, 39, 87)(27, 75, 35, 83)(28, 76, 40, 88)(29, 77, 41, 89)(31, 79, 42, 90)(34, 82, 43, 91)(36, 84, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 106, 154, 103, 151, 112, 160, 101, 149)(98, 146, 102, 150, 109, 157, 100, 148, 108, 156, 104, 152)(105, 153, 117, 165, 120, 168, 107, 155, 119, 167, 118, 166)(110, 158, 121, 169, 124, 172, 111, 159, 123, 171, 122, 170)(113, 161, 125, 173, 128, 176, 114, 162, 127, 175, 126, 174)(115, 163, 129, 177, 132, 180, 116, 164, 131, 179, 130, 178)(133, 181, 141, 189, 135, 183, 134, 182, 142, 190, 136, 184)(137, 185, 143, 191, 139, 187, 138, 186, 144, 192, 140, 188)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 114)(7, 98)(8, 116)(9, 112)(10, 110)(11, 99)(12, 113)(13, 115)(14, 106)(15, 101)(16, 105)(17, 108)(18, 102)(19, 109)(20, 104)(21, 134)(22, 128)(23, 133)(24, 126)(25, 131)(26, 136)(27, 129)(28, 135)(29, 138)(30, 120)(31, 137)(32, 118)(33, 123)(34, 140)(35, 121)(36, 139)(37, 119)(38, 117)(39, 124)(40, 122)(41, 127)(42, 125)(43, 132)(44, 130)(45, 144)(46, 143)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.890
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x S4 (small group id <48, 48>)
Aut   = C2 x C2 x S4 (small group id <96, 226>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, (Y1 * Y3^-1)^2, (R * Y3)^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, (Y3 * Y2^-2)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 18, 66)(12, 60, 29, 77)(13, 61, 28, 76)(14, 62, 25, 73)(15, 63, 24, 72)(16, 64, 23, 71)(19, 67, 40, 88)(21, 69, 31, 79)(22, 70, 36, 84)(26, 74, 33, 81)(27, 75, 34, 82)(30, 78, 42, 90)(32, 80, 43, 91)(35, 83, 37, 85)(38, 86, 41, 89)(39, 87, 44, 92)(45, 93, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 108, 156, 126, 174, 115, 163, 101, 149)(98, 146, 103, 151, 117, 165, 138, 186, 122, 170, 105, 153)(100, 148, 111, 159, 131, 179, 142, 190, 128, 176, 112, 160)(102, 150, 116, 164, 137, 185, 143, 191, 129, 177, 109, 157)(104, 152, 120, 168, 140, 188, 144, 192, 139, 187, 121, 169)(106, 154, 107, 155, 123, 171, 141, 189, 136, 184, 118, 166)(110, 158, 130, 178, 114, 162, 135, 183, 132, 180, 127, 175)(113, 161, 133, 181, 124, 172, 125, 173, 119, 167, 134, 182)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 114)(6, 97)(7, 118)(8, 106)(9, 113)(10, 98)(11, 121)(12, 127)(13, 110)(14, 99)(15, 101)(16, 132)(17, 120)(18, 111)(19, 137)(20, 112)(21, 125)(22, 119)(23, 103)(24, 105)(25, 124)(26, 123)(27, 133)(28, 107)(29, 139)(30, 142)(31, 128)(32, 108)(33, 131)(34, 129)(35, 130)(36, 116)(37, 122)(38, 136)(39, 115)(40, 140)(41, 135)(42, 144)(43, 117)(44, 134)(45, 138)(46, 143)(47, 126)(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, 12, 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ R^2, Y3^3, Y2 * Y3 * Y2, (Y1^-1 * Y3^-1)^2, (Y1 * Y3)^2, (Y1 * Y2)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1^6, (Y2 * Y1^-2)^2, (Y3 * Y1^-2)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 23, 71, 20, 68, 5, 53)(3, 51, 13, 61, 33, 81, 42, 90, 26, 74, 14, 62)(4, 52, 16, 64, 37, 85, 43, 91, 27, 75, 17, 65)(6, 54, 21, 69, 40, 88, 44, 92, 28, 76, 9, 57)(7, 55, 22, 70, 41, 89, 45, 93, 30, 78, 10, 58)(11, 59, 31, 79, 18, 66, 38, 86, 36, 84, 24, 72)(12, 60, 32, 80, 19, 67, 39, 87, 35, 83, 25, 73)(15, 63, 29, 77, 46, 94, 48, 96, 47, 95, 34, 82)(97, 145, 99, 147, 103, 151, 111, 159, 100, 148, 102, 150)(98, 146, 105, 153, 108, 156, 125, 173, 106, 154, 107, 155)(101, 149, 114, 162, 112, 160, 130, 178, 115, 163, 109, 157)(104, 152, 120, 168, 123, 171, 142, 190, 121, 169, 122, 170)(110, 158, 131, 179, 117, 165, 113, 161, 132, 180, 118, 166)(116, 164, 136, 184, 135, 183, 143, 191, 137, 185, 134, 182)(119, 167, 138, 186, 141, 189, 144, 192, 139, 187, 140, 188)(124, 172, 133, 181, 127, 175, 126, 174, 129, 177, 128, 176)
	L = (1, 100)(2, 106)(3, 102)(4, 103)(5, 115)(6, 111)(7, 97)(8, 121)(9, 107)(10, 108)(11, 125)(12, 98)(13, 130)(14, 132)(15, 99)(16, 101)(17, 131)(18, 109)(19, 112)(20, 137)(21, 110)(22, 113)(23, 139)(24, 122)(25, 123)(26, 142)(27, 104)(28, 129)(29, 105)(30, 133)(31, 124)(32, 126)(33, 127)(34, 114)(35, 118)(36, 117)(37, 128)(38, 143)(39, 116)(40, 134)(41, 135)(42, 140)(43, 141)(44, 144)(45, 119)(46, 120)(47, 136)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.877
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.896 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (R * Y3)^2, (Y2, Y1), R * Y1 * R * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y2^6, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y2^2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 34, 82)(14, 62, 36, 84)(15, 63, 39, 87)(16, 64, 41, 89)(17, 65, 42, 90)(20, 68, 43, 91)(22, 70, 46, 94)(24, 72, 35, 83)(25, 73, 30, 78)(26, 74, 33, 81)(27, 75, 37, 85)(31, 79, 38, 86)(32, 80, 40, 88)(44, 92, 47, 95)(45, 93, 48, 96)(97, 98, 103, 116, 107, 101)(99, 104, 102, 106, 118, 109)(100, 110, 131, 139, 134, 112)(105, 120, 143, 125, 137, 122)(108, 126, 138, 124, 141, 128)(111, 119, 113, 133, 142, 136)(114, 129, 132, 117, 140, 127)(115, 123, 144, 130, 135, 121)(145, 147, 155, 166, 151, 150)(146, 152, 149, 157, 164, 154)(148, 159, 182, 190, 179, 161)(153, 169, 185, 178, 191, 171)(156, 175, 189, 165, 186, 177)(158, 167, 160, 184, 187, 181)(162, 176, 188, 172, 180, 174)(163, 170, 183, 173, 192, 168)
	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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.900
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.897 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y2^6, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 4, 52)(2, 50, 9, 57)(3, 51, 12, 60)(5, 53, 18, 66)(6, 54, 19, 67)(7, 55, 21, 69)(8, 56, 23, 71)(10, 58, 28, 76)(11, 59, 29, 77)(13, 61, 34, 82)(14, 62, 36, 84)(15, 63, 39, 87)(16, 64, 41, 89)(17, 65, 42, 90)(20, 68, 43, 91)(22, 70, 46, 94)(24, 72, 37, 85)(25, 73, 33, 81)(26, 74, 30, 78)(27, 75, 35, 83)(31, 79, 40, 88)(32, 80, 38, 86)(44, 92, 48, 96)(45, 93, 47, 95)(97, 98, 103, 116, 107, 101)(99, 104, 102, 106, 118, 109)(100, 110, 131, 139, 134, 112)(105, 120, 143, 125, 135, 122)(108, 126, 132, 124, 141, 128)(111, 119, 113, 133, 142, 136)(114, 129, 138, 117, 140, 127)(115, 123, 144, 130, 137, 121)(145, 147, 155, 166, 151, 150)(146, 152, 149, 157, 164, 154)(148, 159, 182, 190, 179, 161)(153, 169, 183, 178, 191, 171)(156, 175, 189, 165, 180, 177)(158, 167, 160, 184, 187, 181)(162, 176, 188, 172, 186, 174)(163, 170, 185, 173, 192, 168)
	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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.899
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.898 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 6, 6})
Quotient :: edge^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x C2 x A4 (small group id <96, 228>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^6, Y1^6, (Y3 * Y1^-3)^2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 4, 52)(2, 50, 6, 54)(3, 51, 8, 56)(5, 53, 12, 60)(7, 55, 15, 63)(9, 57, 19, 67)(10, 58, 21, 69)(11, 59, 22, 70)(13, 61, 26, 74)(14, 62, 28, 76)(16, 64, 29, 77)(17, 65, 30, 78)(18, 66, 31, 79)(20, 68, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(25, 73, 37, 85)(27, 75, 39, 87)(32, 80, 42, 90)(34, 82, 43, 91)(38, 86, 45, 93)(40, 88, 46, 94)(41, 89, 47, 95)(44, 92, 48, 96)(97, 98, 101, 107, 103, 99)(100, 105, 114, 118, 116, 106)(102, 109, 121, 111, 123, 110)(104, 112, 120, 108, 119, 113)(115, 128, 133, 129, 136, 124)(117, 125, 137, 127, 131, 130)(122, 134, 126, 135, 140, 132)(138, 141, 139, 142, 144, 143)(145, 147, 151, 155, 149, 146)(148, 154, 164, 166, 162, 153)(150, 158, 171, 159, 169, 157)(152, 161, 167, 156, 168, 160)(163, 172, 184, 177, 181, 176)(165, 178, 179, 175, 185, 173)(170, 180, 188, 183, 174, 182)(186, 191, 192, 190, 187, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.901
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.899 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-2 * Y1^-2, (R * Y3)^2, (Y2, Y1), R * Y1 * R * Y2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y2^6, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y3, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1, Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3, Y2 * Y3 * Y2 * Y3 * Y2^-2 * Y3, Y2^2 * Y3 * Y2 * Y1^-2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 34, 82, 130, 178)(14, 62, 110, 158, 36, 84, 132, 180)(15, 63, 111, 159, 39, 87, 135, 183)(16, 64, 112, 160, 41, 89, 137, 185)(17, 65, 113, 161, 42, 90, 138, 186)(20, 68, 116, 164, 43, 91, 139, 187)(22, 70, 118, 166, 46, 94, 142, 190)(24, 72, 120, 168, 35, 83, 131, 179)(25, 73, 121, 169, 30, 78, 126, 174)(26, 74, 122, 170, 33, 81, 129, 177)(27, 75, 123, 171, 37, 85, 133, 181)(31, 79, 127, 175, 38, 86, 134, 182)(32, 80, 128, 176, 40, 88, 136, 184)(44, 92, 140, 188, 47, 95, 143, 191)(45, 93, 141, 189, 48, 96, 144, 192)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 83)(15, 71)(16, 52)(17, 85)(18, 81)(19, 75)(20, 59)(21, 92)(22, 61)(23, 65)(24, 95)(25, 67)(26, 57)(27, 96)(28, 93)(29, 89)(30, 90)(31, 66)(32, 60)(33, 84)(34, 87)(35, 91)(36, 69)(37, 94)(38, 64)(39, 73)(40, 63)(41, 74)(42, 76)(43, 86)(44, 79)(45, 80)(46, 88)(47, 77)(48, 82)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 166)(108, 175)(109, 164)(110, 167)(111, 182)(112, 184)(113, 148)(114, 176)(115, 170)(116, 154)(117, 186)(118, 151)(119, 160)(120, 163)(121, 185)(122, 183)(123, 153)(124, 180)(125, 192)(126, 162)(127, 189)(128, 188)(129, 156)(130, 191)(131, 161)(132, 174)(133, 158)(134, 190)(135, 173)(136, 187)(137, 178)(138, 177)(139, 181)(140, 172)(141, 165)(142, 179)(143, 171)(144, 168)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.897
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.900 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = D8 x A4 (small group id <96, 197>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, (Y1, Y2^-1), (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y2^6, Y1^6, Y1^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1 * Y3, Y2 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3, Y2^2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 9, 57, 105, 153)(3, 51, 99, 147, 12, 60, 108, 156)(5, 53, 101, 149, 18, 66, 114, 162)(6, 54, 102, 150, 19, 67, 115, 163)(7, 55, 103, 151, 21, 69, 117, 165)(8, 56, 104, 152, 23, 71, 119, 167)(10, 58, 106, 154, 28, 76, 124, 172)(11, 59, 107, 155, 29, 77, 125, 173)(13, 61, 109, 157, 34, 82, 130, 178)(14, 62, 110, 158, 36, 84, 132, 180)(15, 63, 111, 159, 39, 87, 135, 183)(16, 64, 112, 160, 41, 89, 137, 185)(17, 65, 113, 161, 42, 90, 138, 186)(20, 68, 116, 164, 43, 91, 139, 187)(22, 70, 118, 166, 46, 94, 142, 190)(24, 72, 120, 168, 37, 85, 133, 181)(25, 73, 121, 169, 33, 81, 129, 177)(26, 74, 122, 170, 30, 78, 126, 174)(27, 75, 123, 171, 35, 83, 131, 179)(31, 79, 127, 175, 40, 88, 136, 184)(32, 80, 128, 176, 38, 86, 134, 182)(44, 92, 140, 188, 48, 96, 144, 192)(45, 93, 141, 189, 47, 95, 143, 191)
	L = (1, 50)(2, 55)(3, 56)(4, 62)(5, 49)(6, 58)(7, 68)(8, 54)(9, 72)(10, 70)(11, 53)(12, 78)(13, 51)(14, 83)(15, 71)(16, 52)(17, 85)(18, 81)(19, 75)(20, 59)(21, 92)(22, 61)(23, 65)(24, 95)(25, 67)(26, 57)(27, 96)(28, 93)(29, 87)(30, 84)(31, 66)(32, 60)(33, 90)(34, 89)(35, 91)(36, 76)(37, 94)(38, 64)(39, 74)(40, 63)(41, 73)(42, 69)(43, 86)(44, 79)(45, 80)(46, 88)(47, 77)(48, 82)(97, 147)(98, 152)(99, 155)(100, 159)(101, 157)(102, 145)(103, 150)(104, 149)(105, 169)(106, 146)(107, 166)(108, 175)(109, 164)(110, 167)(111, 182)(112, 184)(113, 148)(114, 176)(115, 170)(116, 154)(117, 180)(118, 151)(119, 160)(120, 163)(121, 183)(122, 185)(123, 153)(124, 186)(125, 192)(126, 162)(127, 189)(128, 188)(129, 156)(130, 191)(131, 161)(132, 177)(133, 158)(134, 190)(135, 178)(136, 187)(137, 173)(138, 174)(139, 181)(140, 172)(141, 165)(142, 179)(143, 171)(144, 168)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.896
Transitivity :: VT+
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.901 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 6, 6})
Quotient :: loop^2
Aut^+ = C2 x C2 x A4 (small group id <48, 49>)
Aut   = C2 x C2 x C2 x A4 (small group id <96, 228>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^-1, (R * Y3)^2, R * Y1 * R * Y2, Y2^6, Y1^6, (Y3 * Y1^-3)^2, Y2^2 * Y3 * Y1 * Y2^-2 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y1 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2^-1, Y2 * Y3 * Y1^2 * Y2^-1 * Y3 * Y1^-2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 97, 145, 4, 52, 100, 148)(2, 50, 98, 146, 6, 54, 102, 150)(3, 51, 99, 147, 8, 56, 104, 152)(5, 53, 101, 149, 12, 60, 108, 156)(7, 55, 103, 151, 15, 63, 111, 159)(9, 57, 105, 153, 19, 67, 115, 163)(10, 58, 106, 154, 21, 69, 117, 165)(11, 59, 107, 155, 22, 70, 118, 166)(13, 61, 109, 157, 26, 74, 122, 170)(14, 62, 110, 158, 28, 76, 124, 172)(16, 64, 112, 160, 29, 77, 125, 173)(17, 65, 113, 161, 30, 78, 126, 174)(18, 66, 114, 162, 31, 79, 127, 175)(20, 68, 116, 164, 33, 81, 129, 177)(23, 71, 119, 167, 35, 83, 131, 179)(24, 72, 120, 168, 36, 84, 132, 180)(25, 73, 121, 169, 37, 85, 133, 181)(27, 75, 123, 171, 39, 87, 135, 183)(32, 80, 128, 176, 42, 90, 138, 186)(34, 82, 130, 178, 43, 91, 139, 187)(38, 86, 134, 182, 45, 93, 141, 189)(40, 88, 136, 184, 46, 94, 142, 190)(41, 89, 137, 185, 47, 95, 143, 191)(44, 92, 140, 188, 48, 96, 144, 192)
	L = (1, 50)(2, 53)(3, 49)(4, 57)(5, 59)(6, 61)(7, 51)(8, 64)(9, 66)(10, 52)(11, 55)(12, 71)(13, 73)(14, 54)(15, 75)(16, 72)(17, 56)(18, 70)(19, 80)(20, 58)(21, 77)(22, 68)(23, 65)(24, 60)(25, 63)(26, 86)(27, 62)(28, 67)(29, 89)(30, 87)(31, 83)(32, 85)(33, 88)(34, 69)(35, 82)(36, 74)(37, 81)(38, 78)(39, 92)(40, 76)(41, 79)(42, 93)(43, 94)(44, 84)(45, 91)(46, 96)(47, 90)(48, 95)(97, 147)(98, 145)(99, 151)(100, 154)(101, 146)(102, 158)(103, 155)(104, 161)(105, 148)(106, 164)(107, 149)(108, 168)(109, 150)(110, 171)(111, 169)(112, 152)(113, 167)(114, 153)(115, 172)(116, 166)(117, 178)(118, 162)(119, 156)(120, 160)(121, 157)(122, 180)(123, 159)(124, 184)(125, 165)(126, 182)(127, 185)(128, 163)(129, 181)(130, 179)(131, 175)(132, 188)(133, 176)(134, 170)(135, 174)(136, 177)(137, 173)(138, 191)(139, 189)(140, 183)(141, 186)(142, 187)(143, 192)(144, 190)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.898
Transitivity :: VT+
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.902 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
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, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y2)^3, Y2 * Y1^2 * Y3 * Y1^-2, Y1 * Y3 * Y2 * Y1^3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y1^-2 * Y3 * Y1^2, (Y2 * Y1)^4, (Y3 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 58, 10, 70, 22, 86, 38, 82, 34, 61, 13, 73, 25, 65, 17, 53, 5, 49)(3, 57, 9, 68, 20, 62, 14, 52, 4, 60, 12, 80, 32, 95, 47, 77, 29, 87, 39, 67, 19, 59, 11, 51)(7, 69, 21, 63, 15, 74, 26, 56, 8, 72, 24, 64, 16, 84, 36, 90, 42, 96, 48, 85, 37, 71, 23, 55)(27, 88, 40, 78, 30, 91, 43, 76, 28, 89, 41, 79, 31, 92, 44, 81, 33, 93, 45, 83, 35, 94, 46, 75)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 30)(12, 33)(14, 35)(16, 34)(17, 20)(18, 37)(21, 40)(22, 42)(23, 43)(24, 45)(26, 46)(28, 39)(31, 47)(32, 38)(36, 44)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 79)(60, 75)(61, 77)(62, 78)(63, 66)(65, 80)(67, 86)(69, 89)(71, 92)(72, 88)(73, 90)(74, 91)(81, 87)(82, 85)(83, 95)(84, 94)(93, 96)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.904
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.903 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 85, 37, 93, 45, 91, 43, 82, 34, 70, 22, 58, 10, 53, 5, 49)(3, 57, 9, 67, 19, 81, 33, 89, 41, 95, 47, 86, 38, 76, 28, 63, 15, 60, 12, 52, 4, 59, 11, 51)(7, 64, 16, 61, 13, 73, 25, 84, 36, 92, 44, 94, 46, 87, 39, 75, 27, 66, 18, 56, 8, 65, 17, 55)(20, 77, 29, 71, 23, 79, 31, 72, 24, 80, 32, 88, 40, 96, 48, 90, 42, 83, 35, 69, 21, 78, 30, 68)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 20)(10, 19)(11, 23)(12, 24)(15, 26)(16, 29)(17, 31)(18, 32)(21, 33)(22, 36)(25, 30)(27, 37)(28, 40)(34, 41)(35, 44)(38, 45)(39, 48)(42, 47)(43, 46)(49, 52)(50, 56)(51, 58)(53, 55)(54, 63)(57, 69)(59, 68)(60, 71)(61, 70)(62, 75)(64, 78)(65, 77)(66, 79)(67, 82)(72, 76)(73, 83)(74, 86)(80, 87)(81, 90)(84, 91)(85, 94)(88, 95)(89, 93)(92, 96)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.905
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.904 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
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, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y2)^3, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1 * Y3)^2, Y1^-2 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 65, 17, 59, 11, 51)(4, 60, 12, 66, 18, 62, 14, 52)(7, 67, 19, 63, 15, 69, 21, 55)(8, 70, 22, 64, 16, 72, 24, 56)(10, 68, 20, 82, 34, 76, 28, 58)(13, 71, 23, 83, 35, 80, 32, 61)(25, 84, 36, 77, 29, 87, 39, 73)(26, 85, 37, 78, 30, 88, 40, 74)(27, 91, 43, 94, 46, 92, 44, 75)(31, 89, 41, 81, 33, 90, 42, 79)(38, 95, 47, 93, 45, 96, 48, 86)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 33)(16, 32)(18, 35)(19, 36)(20, 38)(21, 39)(22, 41)(24, 42)(26, 43)(28, 45)(30, 44)(34, 46)(37, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 66)(55, 68)(57, 74)(59, 78)(60, 73)(61, 75)(62, 77)(63, 76)(65, 82)(67, 85)(69, 88)(70, 84)(71, 86)(72, 87)(79, 91)(80, 93)(81, 92)(83, 94)(89, 95)(90, 96)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.902
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.905 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (Y1 * Y2 * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1 * Y3)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2, Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y3 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 65, 17, 59, 11, 51)(4, 60, 12, 66, 18, 62, 14, 52)(7, 67, 19, 63, 15, 69, 21, 55)(8, 70, 22, 64, 16, 72, 24, 56)(10, 68, 20, 83, 35, 76, 28, 58)(13, 71, 23, 84, 36, 81, 33, 61)(25, 85, 37, 77, 29, 88, 40, 73)(26, 86, 38, 78, 30, 89, 41, 74)(27, 93, 45, 80, 32, 94, 46, 75)(31, 90, 42, 82, 34, 92, 44, 79)(39, 95, 47, 91, 43, 96, 48, 87)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 34)(16, 33)(18, 36)(19, 37)(20, 39)(21, 40)(22, 42)(24, 44)(26, 45)(28, 43)(30, 46)(32, 35)(38, 47)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 66)(55, 68)(57, 74)(59, 78)(60, 73)(61, 80)(62, 77)(63, 76)(65, 83)(67, 86)(69, 89)(70, 85)(71, 91)(72, 88)(75, 84)(79, 94)(81, 87)(82, 93)(90, 96)(92, 95)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.903
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.906 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
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, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 5, 53)(2, 50, 7, 55, 22, 70, 8, 56)(3, 51, 10, 58, 28, 76, 11, 59)(6, 54, 18, 66, 37, 85, 19, 67)(9, 57, 25, 73, 43, 91, 26, 74)(12, 60, 30, 78, 15, 63, 31, 79)(13, 61, 32, 80, 16, 64, 33, 81)(17, 65, 34, 82, 46, 94, 35, 83)(20, 68, 39, 87, 23, 71, 40, 88)(21, 69, 41, 89, 24, 72, 42, 90)(27, 75, 44, 92, 29, 77, 45, 93)(36, 84, 47, 95, 38, 86, 48, 96)(97, 98)(99, 105)(100, 108)(101, 111)(102, 113)(103, 116)(104, 119)(106, 123)(107, 125)(109, 121)(110, 118)(112, 122)(114, 132)(115, 134)(117, 130)(120, 131)(124, 139)(126, 135)(127, 136)(128, 140)(129, 141)(133, 142)(137, 143)(138, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 165)(152, 168)(153, 161)(154, 164)(155, 167)(156, 162)(158, 172)(159, 163)(166, 181)(169, 180)(170, 182)(171, 178)(173, 179)(174, 185)(175, 186)(176, 183)(177, 184)(187, 190)(188, 191)(189, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.912
Graph:: simple bipartite
	v = 60 e = 96 f = 4
	degree seq :: [ 2^48, 8^12 ]

E17.907 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 5, 53)(2, 50, 7, 55, 22, 70, 8, 56)(3, 51, 10, 58, 29, 77, 11, 59)(6, 54, 18, 66, 39, 87, 19, 67)(9, 57, 26, 74, 35, 83, 27, 75)(12, 60, 31, 79, 15, 63, 32, 80)(13, 61, 33, 81, 16, 64, 34, 82)(17, 65, 36, 84, 25, 73, 37, 85)(20, 68, 41, 89, 23, 71, 42, 90)(21, 69, 43, 91, 24, 72, 44, 92)(28, 76, 45, 93, 30, 78, 46, 94)(38, 86, 47, 95, 40, 88, 48, 96)(97, 98)(99, 105)(100, 108)(101, 111)(102, 113)(103, 116)(104, 119)(106, 124)(107, 126)(109, 122)(110, 118)(112, 123)(114, 134)(115, 136)(117, 132)(120, 133)(121, 135)(125, 131)(127, 137)(128, 138)(129, 141)(130, 142)(139, 143)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 165)(152, 168)(153, 169)(154, 164)(155, 167)(156, 162)(158, 173)(159, 163)(161, 179)(166, 183)(170, 184)(171, 182)(172, 181)(174, 180)(175, 187)(176, 188)(177, 185)(178, 186)(189, 192)(190, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.913
Graph:: simple bipartite
	v = 60 e = 96 f = 4
	degree seq :: [ 2^48, 8^12 ]

E17.908 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^-3 * Y2 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y3^3 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 28, 76, 9, 57, 27, 75, 41, 89, 20, 68, 6, 54, 19, 67, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 38, 86, 18, 66, 37, 85, 31, 79, 11, 59, 3, 51, 10, 58, 26, 74, 8, 56)(12, 60, 32, 80, 15, 63, 36, 84, 39, 87, 48, 96, 40, 88, 35, 83, 13, 61, 34, 82, 16, 64, 33, 81)(21, 69, 42, 90, 24, 72, 46, 94, 29, 77, 47, 95, 30, 78, 45, 93, 22, 70, 44, 92, 25, 73, 43, 91)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 126)(109, 123)(110, 122)(112, 124)(113, 119)(115, 135)(116, 136)(118, 133)(121, 134)(127, 137)(128, 138)(129, 142)(130, 143)(131, 141)(132, 139)(140, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 175)(159, 164)(161, 170)(167, 185)(171, 183)(172, 184)(173, 181)(174, 182)(176, 188)(177, 187)(178, 186)(179, 190)(180, 189)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.910
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.909 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y3^-3 * Y2 * Y3^2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 15, 63, 26, 74, 38, 86, 45, 93, 42, 90, 33, 81, 20, 68, 9, 57, 5, 53)(2, 50, 7, 55, 3, 51, 10, 58, 19, 67, 34, 82, 41, 89, 46, 94, 37, 85, 27, 75, 14, 62, 8, 56)(11, 59, 22, 70, 12, 60, 24, 72, 13, 61, 25, 73, 35, 83, 44, 92, 47, 95, 40, 88, 28, 76, 23, 71)(16, 64, 29, 77, 17, 65, 31, 79, 18, 66, 32, 80, 39, 87, 48, 96, 43, 91, 36, 84, 21, 69, 30, 78)(97, 98)(99, 105)(100, 107)(101, 108)(102, 110)(103, 112)(104, 113)(106, 117)(109, 116)(111, 124)(114, 123)(115, 129)(118, 125)(119, 127)(120, 126)(121, 132)(122, 133)(128, 136)(130, 139)(131, 138)(134, 143)(135, 142)(137, 141)(140, 144)(145, 147)(146, 150)(148, 156)(149, 157)(151, 161)(152, 162)(153, 163)(154, 160)(155, 159)(158, 170)(164, 179)(165, 178)(166, 175)(167, 176)(168, 173)(169, 174)(171, 183)(172, 182)(177, 185)(180, 188)(181, 189)(184, 192)(186, 191)(187, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.911
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.910 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
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, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, (Y2 * Y1)^3, Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 28, 76, 124, 172, 11, 59, 107, 155)(6, 54, 102, 150, 18, 66, 114, 162, 37, 85, 133, 181, 19, 67, 115, 163)(9, 57, 105, 153, 25, 73, 121, 169, 43, 91, 139, 187, 26, 74, 122, 170)(12, 60, 108, 156, 30, 78, 126, 174, 15, 63, 111, 159, 31, 79, 127, 175)(13, 61, 109, 157, 32, 80, 128, 176, 16, 64, 112, 160, 33, 81, 129, 177)(17, 65, 113, 161, 34, 82, 130, 178, 46, 94, 142, 190, 35, 83, 131, 179)(20, 68, 116, 164, 39, 87, 135, 183, 23, 71, 119, 167, 40, 88, 136, 184)(21, 69, 117, 165, 41, 89, 137, 185, 24, 72, 120, 168, 42, 90, 138, 186)(27, 75, 123, 171, 44, 92, 140, 188, 29, 77, 125, 173, 45, 93, 141, 189)(36, 84, 132, 180, 47, 95, 143, 191, 38, 86, 134, 182, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 65)(7, 68)(8, 71)(9, 51)(10, 75)(11, 77)(12, 52)(13, 73)(14, 70)(15, 53)(16, 74)(17, 54)(18, 84)(19, 86)(20, 55)(21, 82)(22, 62)(23, 56)(24, 83)(25, 61)(26, 64)(27, 58)(28, 91)(29, 59)(30, 87)(31, 88)(32, 92)(33, 93)(34, 69)(35, 72)(36, 66)(37, 94)(38, 67)(39, 78)(40, 79)(41, 95)(42, 96)(43, 76)(44, 80)(45, 81)(46, 85)(47, 89)(48, 90)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 165)(104, 168)(105, 161)(106, 164)(107, 167)(108, 162)(109, 148)(110, 172)(111, 163)(112, 149)(113, 153)(114, 156)(115, 159)(116, 154)(117, 151)(118, 181)(119, 155)(120, 152)(121, 180)(122, 182)(123, 178)(124, 158)(125, 179)(126, 185)(127, 186)(128, 183)(129, 184)(130, 171)(131, 173)(132, 169)(133, 166)(134, 170)(135, 176)(136, 177)(137, 174)(138, 175)(139, 190)(140, 191)(141, 192)(142, 187)(143, 188)(144, 189)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.908
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 16^12 ]

E17.911 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 29, 77, 125, 173, 11, 59, 107, 155)(6, 54, 102, 150, 18, 66, 114, 162, 39, 87, 135, 183, 19, 67, 115, 163)(9, 57, 105, 153, 26, 74, 122, 170, 35, 83, 131, 179, 27, 75, 123, 171)(12, 60, 108, 156, 31, 79, 127, 175, 15, 63, 111, 159, 32, 80, 128, 176)(13, 61, 109, 157, 33, 81, 129, 177, 16, 64, 112, 160, 34, 82, 130, 178)(17, 65, 113, 161, 36, 84, 132, 180, 25, 73, 121, 169, 37, 85, 133, 181)(20, 68, 116, 164, 41, 89, 137, 185, 23, 71, 119, 167, 42, 90, 138, 186)(21, 69, 117, 165, 43, 91, 139, 187, 24, 72, 120, 168, 44, 92, 140, 188)(28, 76, 124, 172, 45, 93, 141, 189, 30, 78, 126, 174, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191, 40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 65)(7, 68)(8, 71)(9, 51)(10, 76)(11, 78)(12, 52)(13, 74)(14, 70)(15, 53)(16, 75)(17, 54)(18, 86)(19, 88)(20, 55)(21, 84)(22, 62)(23, 56)(24, 85)(25, 87)(26, 61)(27, 64)(28, 58)(29, 83)(30, 59)(31, 89)(32, 90)(33, 93)(34, 94)(35, 77)(36, 69)(37, 72)(38, 66)(39, 73)(40, 67)(41, 79)(42, 80)(43, 95)(44, 96)(45, 81)(46, 82)(47, 91)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 165)(104, 168)(105, 169)(106, 164)(107, 167)(108, 162)(109, 148)(110, 173)(111, 163)(112, 149)(113, 179)(114, 156)(115, 159)(116, 154)(117, 151)(118, 183)(119, 155)(120, 152)(121, 153)(122, 184)(123, 182)(124, 181)(125, 158)(126, 180)(127, 187)(128, 188)(129, 185)(130, 186)(131, 161)(132, 174)(133, 172)(134, 171)(135, 166)(136, 170)(137, 177)(138, 178)(139, 175)(140, 176)(141, 192)(142, 191)(143, 190)(144, 189)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.909
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 16^12 ]

E17.912 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, Y3^-3 * Y2 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3^-1)^2, (Y2 * Y1)^3, Y3^3 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 28, 76, 124, 172, 9, 57, 105, 153, 27, 75, 123, 171, 41, 89, 137, 185, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 38, 86, 134, 182, 18, 66, 114, 162, 37, 85, 133, 181, 31, 79, 127, 175, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 26, 74, 122, 170, 8, 56, 104, 152)(12, 60, 108, 156, 32, 80, 128, 176, 15, 63, 111, 159, 36, 84, 132, 180, 39, 87, 135, 183, 48, 96, 144, 192, 40, 88, 136, 184, 35, 83, 131, 179, 13, 61, 109, 157, 34, 82, 130, 178, 16, 64, 112, 160, 33, 81, 129, 177)(21, 69, 117, 165, 42, 90, 138, 186, 24, 72, 120, 168, 46, 94, 142, 190, 29, 77, 125, 173, 47, 95, 143, 191, 30, 78, 126, 174, 45, 93, 141, 189, 22, 70, 118, 166, 44, 92, 140, 188, 25, 73, 121, 169, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 78)(12, 52)(13, 75)(14, 74)(15, 53)(16, 76)(17, 71)(18, 54)(19, 87)(20, 88)(21, 55)(22, 85)(23, 65)(24, 56)(25, 86)(26, 62)(27, 61)(28, 64)(29, 58)(30, 59)(31, 89)(32, 90)(33, 94)(34, 95)(35, 93)(36, 91)(37, 70)(38, 73)(39, 67)(40, 68)(41, 79)(42, 80)(43, 84)(44, 96)(45, 83)(46, 81)(47, 82)(48, 92)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 175)(111, 164)(112, 149)(113, 170)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 185)(120, 155)(121, 152)(122, 161)(123, 183)(124, 184)(125, 181)(126, 182)(127, 158)(128, 188)(129, 187)(130, 186)(131, 190)(132, 189)(133, 173)(134, 174)(135, 171)(136, 172)(137, 167)(138, 178)(139, 177)(140, 176)(141, 180)(142, 179)(143, 192)(144, 191)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.906
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 60
	degree seq :: [ 48^4 ]

E17.913 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = (C12 x C2) : C2 (small group id <48, 14>)
Aut   = (C2 x C4 x S3) : C2 (small group id <96, 102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y2 * Y3^-1, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3^-2 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y1 * Y3^-3 * Y2 * Y3^2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 15, 63, 111, 159, 26, 74, 122, 170, 38, 86, 134, 182, 45, 93, 141, 189, 42, 90, 138, 186, 33, 81, 129, 177, 20, 68, 116, 164, 9, 57, 105, 153, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 10, 58, 106, 154, 19, 67, 115, 163, 34, 82, 130, 178, 41, 89, 137, 185, 46, 94, 142, 190, 37, 85, 133, 181, 27, 75, 123, 171, 14, 62, 110, 158, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 12, 60, 108, 156, 24, 72, 120, 168, 13, 61, 109, 157, 25, 73, 121, 169, 35, 83, 131, 179, 44, 92, 140, 188, 47, 95, 143, 191, 40, 88, 136, 184, 28, 76, 124, 172, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 17, 65, 113, 161, 31, 79, 127, 175, 18, 66, 114, 162, 32, 80, 128, 176, 39, 87, 135, 183, 48, 96, 144, 192, 43, 91, 139, 187, 36, 84, 132, 180, 21, 69, 117, 165, 30, 78, 126, 174)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 60)(6, 62)(7, 64)(8, 65)(9, 51)(10, 69)(11, 52)(12, 53)(13, 68)(14, 54)(15, 76)(16, 55)(17, 56)(18, 75)(19, 81)(20, 61)(21, 58)(22, 77)(23, 79)(24, 78)(25, 84)(26, 85)(27, 66)(28, 63)(29, 70)(30, 72)(31, 71)(32, 88)(33, 67)(34, 91)(35, 90)(36, 73)(37, 74)(38, 95)(39, 94)(40, 80)(41, 93)(42, 83)(43, 82)(44, 96)(45, 89)(46, 87)(47, 86)(48, 92)(97, 147)(98, 150)(99, 145)(100, 156)(101, 157)(102, 146)(103, 161)(104, 162)(105, 163)(106, 160)(107, 159)(108, 148)(109, 149)(110, 170)(111, 155)(112, 154)(113, 151)(114, 152)(115, 153)(116, 179)(117, 178)(118, 175)(119, 176)(120, 173)(121, 174)(122, 158)(123, 183)(124, 182)(125, 168)(126, 169)(127, 166)(128, 167)(129, 185)(130, 165)(131, 164)(132, 188)(133, 189)(134, 172)(135, 171)(136, 192)(137, 177)(138, 191)(139, 190)(140, 180)(141, 181)(142, 187)(143, 186)(144, 184)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.907
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 60
	degree seq :: [ 48^4 ]

E17.914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (Y1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 16, 64)(8, 56, 18, 66)(9, 57, 19, 67)(10, 58, 21, 69)(12, 60, 17, 65)(14, 62, 24, 72)(15, 63, 26, 74)(20, 68, 25, 73)(22, 70, 31, 79)(23, 71, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 47, 95)(40, 88, 48, 96)(43, 91, 45, 93)(44, 92, 46, 94)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 110, 158)(104, 152, 111, 159)(107, 155, 115, 163)(108, 156, 116, 164)(109, 157, 117, 165)(112, 160, 120, 168)(113, 161, 121, 169)(114, 162, 122, 170)(118, 166, 125, 173)(119, 167, 126, 174)(123, 171, 129, 177)(124, 172, 130, 178)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 141, 189)(136, 184, 142, 190)(139, 187, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 110)(7, 113)(8, 98)(9, 116)(10, 99)(11, 118)(12, 101)(13, 119)(14, 121)(15, 102)(16, 123)(17, 104)(18, 124)(19, 125)(20, 106)(21, 126)(22, 109)(23, 107)(24, 129)(25, 111)(26, 130)(27, 114)(28, 112)(29, 117)(30, 115)(31, 135)(32, 136)(33, 122)(34, 120)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.938
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (Y1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y1 * Y3 * Y2 * Y1)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 16, 64)(8, 56, 18, 66)(9, 57, 19, 67)(10, 58, 21, 69)(12, 60, 17, 65)(14, 62, 24, 72)(15, 63, 26, 74)(20, 68, 25, 73)(22, 70, 31, 79)(23, 71, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 47, 95)(40, 88, 48, 96)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 110, 158)(104, 152, 111, 159)(107, 155, 115, 163)(108, 156, 116, 164)(109, 157, 117, 165)(112, 160, 120, 168)(113, 161, 121, 169)(114, 162, 122, 170)(118, 166, 125, 173)(119, 167, 126, 174)(123, 171, 129, 177)(124, 172, 130, 178)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 141, 189)(136, 184, 142, 190)(139, 187, 144, 192)(140, 188, 143, 191)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 110)(7, 113)(8, 98)(9, 116)(10, 99)(11, 118)(12, 101)(13, 119)(14, 121)(15, 102)(16, 123)(17, 104)(18, 124)(19, 125)(20, 106)(21, 126)(22, 109)(23, 107)(24, 129)(25, 111)(26, 130)(27, 114)(28, 112)(29, 117)(30, 115)(31, 135)(32, 136)(33, 122)(34, 120)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 144)(42, 143)(43, 132)(44, 131)(45, 134)(46, 133)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.939
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, R^2, Y2 * Y3^-2, (Y1 * Y2)^2, (R * Y3)^2, (R * Y2)^2, (R * Y1)^2, (Y3^-1 * Y1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 9, 57)(5, 53, 10, 58)(7, 55, 11, 59)(8, 56, 12, 60)(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)(98, 146, 102, 150)(100, 148, 101, 149)(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, 100)(2, 103)(3, 101)(4, 99)(5, 97)(6, 104)(7, 102)(8, 98)(9, 109)(10, 110)(11, 111)(12, 112)(13, 106)(14, 105)(15, 108)(16, 107)(17, 117)(18, 118)(19, 119)(20, 120)(21, 114)(22, 113)(23, 116)(24, 115)(25, 125)(26, 126)(27, 127)(28, 128)(29, 122)(30, 121)(31, 124)(32, 123)(33, 133)(34, 134)(35, 135)(36, 136)(37, 130)(38, 129)(39, 132)(40, 131)(41, 141)(42, 142)(43, 143)(44, 144)(45, 138)(46, 137)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.937
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^3, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 19, 67)(13, 61, 28, 76)(14, 62, 26, 74)(15, 63, 31, 79)(17, 65, 32, 80)(20, 68, 36, 84)(21, 69, 34, 82)(22, 70, 39, 87)(24, 72, 40, 88)(25, 73, 33, 81)(27, 75, 35, 83)(29, 77, 38, 86)(30, 78, 37, 85)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 109, 157, 125, 173, 111, 159)(102, 150, 110, 158, 126, 174, 113, 161)(104, 152, 116, 164, 133, 181, 118, 166)(106, 154, 117, 165, 134, 182, 120, 168)(107, 155, 121, 169, 112, 160, 123, 171)(114, 162, 129, 177, 119, 167, 131, 179)(122, 170, 137, 185, 128, 176, 139, 187)(124, 172, 138, 186, 127, 175, 140, 188)(130, 178, 141, 189, 136, 184, 143, 191)(132, 180, 142, 190, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 111)(6, 97)(7, 116)(8, 106)(9, 118)(10, 98)(11, 122)(12, 125)(13, 110)(14, 99)(15, 113)(16, 128)(17, 101)(18, 130)(19, 133)(20, 117)(21, 103)(22, 120)(23, 136)(24, 105)(25, 137)(26, 124)(27, 139)(28, 107)(29, 126)(30, 108)(31, 112)(32, 127)(33, 141)(34, 132)(35, 143)(36, 114)(37, 134)(38, 115)(39, 119)(40, 135)(41, 138)(42, 121)(43, 140)(44, 123)(45, 142)(46, 129)(47, 144)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.933
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.918 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3^3 * Y2^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 32, 80)(14, 62, 30, 78)(15, 63, 28, 76)(16, 64, 33, 81)(18, 66, 34, 82)(19, 67, 24, 72)(22, 70, 38, 86)(23, 71, 36, 84)(25, 73, 39, 87)(27, 75, 40, 88)(29, 77, 35, 83)(31, 79, 37, 85)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 115, 163, 112, 160)(102, 150, 110, 158, 111, 159, 114, 162)(104, 152, 118, 166, 124, 172, 121, 169)(106, 154, 119, 167, 120, 168, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(116, 164, 131, 179, 122, 170, 133, 181)(126, 174, 137, 185, 130, 178, 139, 187)(128, 176, 138, 186, 129, 177, 140, 188)(132, 180, 141, 189, 136, 184, 143, 191)(134, 182, 142, 190, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 120)(9, 121)(10, 98)(11, 126)(12, 115)(13, 114)(14, 99)(15, 108)(16, 110)(17, 130)(18, 101)(19, 102)(20, 132)(21, 124)(22, 123)(23, 103)(24, 117)(25, 119)(26, 136)(27, 105)(28, 106)(29, 137)(30, 129)(31, 139)(32, 107)(33, 113)(34, 128)(35, 141)(36, 135)(37, 143)(38, 116)(39, 122)(40, 134)(41, 140)(42, 125)(43, 138)(44, 127)(45, 144)(46, 131)(47, 142)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.936
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.919 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, (Y2, Y3^-1), (R * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3^6, (Y2^-1 * Y1 * Y2^-1)^2, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-2 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1 * Y3^2 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 32, 80)(14, 62, 30, 78)(15, 63, 28, 76)(16, 64, 39, 87)(18, 66, 40, 88)(19, 67, 24, 72)(22, 70, 38, 86)(23, 71, 41, 89)(25, 73, 35, 83)(27, 75, 36, 84)(29, 77, 37, 85)(31, 79, 42, 90)(33, 81, 44, 92)(34, 82, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 129, 177, 112, 160)(102, 150, 110, 158, 130, 178, 114, 162)(104, 152, 118, 166, 139, 187, 121, 169)(106, 154, 119, 167, 140, 188, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 131, 179, 143, 191, 134, 182)(115, 163, 132, 180, 144, 192, 137, 185)(116, 164, 133, 181, 122, 170, 138, 186)(120, 168, 135, 183, 142, 190, 128, 176)(124, 172, 136, 184, 141, 189, 126, 174)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 120)(9, 121)(10, 98)(11, 126)(12, 129)(13, 131)(14, 99)(15, 133)(16, 134)(17, 136)(18, 101)(19, 102)(20, 137)(21, 139)(22, 135)(23, 103)(24, 125)(25, 128)(26, 132)(27, 105)(28, 106)(29, 124)(30, 123)(31, 141)(32, 107)(33, 143)(34, 108)(35, 122)(36, 110)(37, 115)(38, 116)(39, 113)(40, 119)(41, 114)(42, 144)(43, 142)(44, 117)(45, 140)(46, 127)(47, 138)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.935
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.920 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2), (Y1 * Y3^-1)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-2 * Y1)^2, Y3^6, Y3^2 * Y1 * Y2 * Y3^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 32, 80)(14, 62, 30, 78)(15, 63, 28, 76)(16, 64, 39, 87)(18, 66, 40, 88)(19, 67, 24, 72)(22, 70, 35, 83)(23, 71, 36, 84)(25, 73, 38, 86)(27, 75, 41, 89)(29, 77, 42, 90)(31, 79, 37, 85)(33, 81, 44, 92)(34, 82, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 129, 177, 112, 160)(102, 150, 110, 158, 130, 178, 114, 162)(104, 152, 118, 166, 139, 187, 121, 169)(106, 154, 119, 167, 140, 188, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(111, 159, 131, 179, 143, 191, 134, 182)(115, 163, 132, 180, 144, 192, 137, 185)(116, 164, 138, 186, 122, 170, 133, 181)(120, 168, 128, 176, 142, 190, 135, 183)(124, 172, 126, 174, 141, 189, 136, 184)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 120)(9, 121)(10, 98)(11, 126)(12, 129)(13, 131)(14, 99)(15, 133)(16, 134)(17, 136)(18, 101)(19, 102)(20, 132)(21, 139)(22, 128)(23, 103)(24, 127)(25, 135)(26, 137)(27, 105)(28, 106)(29, 141)(30, 119)(31, 124)(32, 107)(33, 143)(34, 108)(35, 116)(36, 110)(37, 115)(38, 122)(39, 113)(40, 123)(41, 114)(42, 144)(43, 142)(44, 117)(45, 140)(46, 125)(47, 138)(48, 130)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.934
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.921 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, (Y2 * Y3 * Y2^-1 * Y3 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 17, 65)(13, 61, 18, 66)(19, 67, 24, 72)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 27, 75)(23, 71, 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, 105, 153, 101, 149)(98, 146, 102, 150, 110, 158, 104, 152)(100, 148, 107, 155, 115, 163, 108, 156)(103, 151, 112, 160, 120, 168, 113, 161)(106, 154, 116, 164, 109, 157, 117, 165)(111, 159, 121, 169, 114, 162, 122, 170)(118, 166, 127, 175, 119, 167, 128, 176)(123, 171, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 126, 174, 134, 182)(129, 177, 137, 185, 130, 178, 138, 186)(135, 183, 143, 191, 136, 184, 144, 192)(139, 187, 141, 189, 140, 188, 142, 190)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 111)(7, 98)(8, 114)(9, 115)(10, 99)(11, 118)(12, 119)(13, 101)(14, 120)(15, 102)(16, 123)(17, 124)(18, 104)(19, 105)(20, 125)(21, 126)(22, 107)(23, 108)(24, 110)(25, 129)(26, 130)(27, 112)(28, 113)(29, 116)(30, 117)(31, 135)(32, 136)(33, 121)(34, 122)(35, 139)(36, 140)(37, 141)(38, 142)(39, 127)(40, 128)(41, 143)(42, 144)(43, 131)(44, 132)(45, 133)(46, 134)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.930
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.922 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, Y2 * Y1 * Y2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 6, 54)(7, 55, 10, 58)(8, 56, 9, 57)(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, 99, 147, 98, 146, 101, 149)(100, 148, 104, 152, 102, 150, 105, 153)(103, 151, 107, 155, 106, 154, 108, 156)(109, 157, 113, 161, 110, 158, 114, 162)(111, 159, 115, 163, 112, 160, 116, 164)(117, 165, 121, 169, 118, 166, 122, 170)(119, 167, 123, 171, 120, 168, 124, 172)(125, 173, 129, 177, 126, 174, 130, 178)(127, 175, 131, 179, 128, 176, 132, 180)(133, 181, 137, 185, 134, 182, 138, 186)(135, 183, 139, 187, 136, 184, 140, 188)(141, 189, 143, 191, 142, 190, 144, 192)
	L = (1, 100)(2, 102)(3, 103)(4, 97)(5, 106)(6, 98)(7, 99)(8, 109)(9, 110)(10, 101)(11, 111)(12, 112)(13, 104)(14, 105)(15, 107)(16, 108)(17, 117)(18, 118)(19, 119)(20, 120)(21, 113)(22, 114)(23, 115)(24, 116)(25, 125)(26, 126)(27, 127)(28, 128)(29, 121)(30, 122)(31, 123)(32, 124)(33, 133)(34, 134)(35, 135)(36, 136)(37, 129)(38, 130)(39, 131)(40, 132)(41, 141)(42, 142)(43, 143)(44, 144)(45, 137)(46, 138)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.931
Graph:: bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.923 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 17, 65)(13, 61, 18, 66)(19, 67, 24, 72)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 27, 75)(23, 71, 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, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 110, 158, 104, 152)(100, 148, 107, 155, 115, 163, 108, 156)(103, 151, 112, 160, 120, 168, 113, 161)(106, 154, 116, 164, 109, 157, 117, 165)(111, 159, 121, 169, 114, 162, 122, 170)(118, 166, 127, 175, 119, 167, 128, 176)(123, 171, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 126, 174, 134, 182)(129, 177, 137, 185, 130, 178, 138, 186)(135, 183, 143, 191, 136, 184, 144, 192)(139, 187, 142, 190, 140, 188, 141, 189)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 111)(7, 98)(8, 114)(9, 115)(10, 99)(11, 118)(12, 119)(13, 101)(14, 120)(15, 102)(16, 123)(17, 124)(18, 104)(19, 105)(20, 125)(21, 126)(22, 107)(23, 108)(24, 110)(25, 129)(26, 130)(27, 112)(28, 113)(29, 116)(30, 117)(31, 135)(32, 136)(33, 121)(34, 122)(35, 139)(36, 140)(37, 141)(38, 142)(39, 127)(40, 128)(41, 144)(42, 143)(43, 131)(44, 132)(45, 133)(46, 134)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.932
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.924 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 16, 64)(8, 56, 21, 69)(10, 58, 17, 65)(11, 59, 19, 67)(12, 60, 18, 66)(13, 61, 22, 70)(15, 63, 20, 68)(23, 71, 33, 81)(24, 72, 35, 83)(25, 73, 30, 78)(26, 74, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 39, 87)(31, 79, 38, 86)(32, 80, 40, 88)(41, 89, 47, 95)(42, 90, 48, 96)(43, 91, 45, 93)(44, 92, 46, 94)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 113, 161, 104, 152)(100, 148, 108, 156, 121, 169, 109, 157)(103, 151, 115, 163, 126, 174, 116, 164)(105, 153, 119, 167, 110, 158, 120, 168)(107, 155, 122, 170, 111, 159, 123, 171)(112, 160, 124, 172, 117, 165, 125, 173)(114, 162, 127, 175, 118, 166, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 114)(7, 98)(8, 118)(9, 115)(10, 121)(11, 99)(12, 112)(13, 117)(14, 116)(15, 101)(16, 108)(17, 126)(18, 102)(19, 105)(20, 110)(21, 109)(22, 104)(23, 130)(24, 132)(25, 106)(26, 129)(27, 131)(28, 134)(29, 136)(30, 113)(31, 133)(32, 135)(33, 122)(34, 119)(35, 123)(36, 120)(37, 127)(38, 124)(39, 128)(40, 125)(41, 141)(42, 142)(43, 143)(44, 144)(45, 137)(46, 138)(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) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.927
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.925 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y3 * Y1)^2, Y2^-2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 10, 58)(6, 54, 11, 59)(8, 56, 12, 60)(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, 103, 151, 101, 149)(98, 146, 102, 150, 100, 148, 104, 152)(105, 153, 109, 157, 106, 154, 110, 158)(107, 155, 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, 100)(2, 103)(3, 106)(4, 97)(5, 105)(6, 108)(7, 98)(8, 107)(9, 101)(10, 99)(11, 104)(12, 102)(13, 114)(14, 113)(15, 116)(16, 115)(17, 110)(18, 109)(19, 112)(20, 111)(21, 122)(22, 121)(23, 124)(24, 123)(25, 118)(26, 117)(27, 120)(28, 119)(29, 130)(30, 129)(31, 132)(32, 131)(33, 126)(34, 125)(35, 128)(36, 127)(37, 138)(38, 137)(39, 140)(40, 139)(41, 134)(42, 133)(43, 136)(44, 135)(45, 144)(46, 143)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.929
Graph:: bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.926 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^2, R^2, (Y1 * Y3)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 16, 64)(8, 56, 21, 69)(10, 58, 17, 65)(11, 59, 19, 67)(12, 60, 18, 66)(13, 61, 22, 70)(15, 63, 20, 68)(23, 71, 33, 81)(24, 72, 35, 83)(25, 73, 30, 78)(26, 74, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 39, 87)(31, 79, 38, 86)(32, 80, 40, 88)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 113, 161, 104, 152)(100, 148, 108, 156, 121, 169, 109, 157)(103, 151, 115, 163, 126, 174, 116, 164)(105, 153, 119, 167, 110, 158, 120, 168)(107, 155, 122, 170, 111, 159, 123, 171)(112, 160, 124, 172, 117, 165, 125, 173)(114, 162, 127, 175, 118, 166, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 114)(7, 98)(8, 118)(9, 115)(10, 121)(11, 99)(12, 112)(13, 117)(14, 116)(15, 101)(16, 108)(17, 126)(18, 102)(19, 105)(20, 110)(21, 109)(22, 104)(23, 130)(24, 132)(25, 106)(26, 129)(27, 131)(28, 134)(29, 136)(30, 113)(31, 133)(32, 135)(33, 122)(34, 119)(35, 123)(36, 120)(37, 127)(38, 124)(39, 128)(40, 125)(41, 142)(42, 141)(43, 144)(44, 143)(45, 138)(46, 137)(47, 140)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.928
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.927 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (Y1^-2 * Y3)^2, (Y3 * Y1)^4, Y1 * Y2 * Y1 * Y3 * Y1^-3 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 40, 88, 48, 96, 41, 89, 47, 95, 29, 77, 14, 62, 5, 53)(3, 51, 7, 55, 16, 64, 31, 79, 45, 93, 26, 74, 37, 85, 27, 75, 38, 86, 43, 91, 24, 72, 10, 58)(4, 52, 11, 59, 25, 73, 44, 92, 36, 84, 18, 66, 35, 83, 23, 71, 42, 90, 34, 82, 17, 65, 12, 60)(8, 56, 19, 67, 13, 61, 28, 76, 46, 94, 33, 81, 22, 70, 9, 57, 21, 69, 39, 87, 32, 80, 20, 68)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 127, 175)(113, 161, 129, 177)(115, 163, 131, 179)(116, 164, 132, 180)(121, 169, 135, 183)(122, 170, 136, 184)(123, 171, 137, 185)(124, 172, 138, 186)(125, 173, 139, 187)(126, 174, 141, 189)(128, 176, 140, 188)(130, 178, 142, 190)(133, 181, 144, 192)(134, 182, 143, 191)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 122)(12, 123)(13, 101)(14, 121)(15, 128)(16, 129)(17, 102)(18, 103)(19, 133)(20, 134)(21, 136)(22, 137)(23, 106)(24, 135)(25, 110)(26, 107)(27, 108)(28, 141)(29, 142)(30, 138)(31, 140)(32, 111)(33, 112)(34, 139)(35, 144)(36, 143)(37, 115)(38, 116)(39, 120)(40, 117)(41, 118)(42, 126)(43, 130)(44, 127)(45, 124)(46, 125)(47, 132)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.924
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.928 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y3)^2, (Y1^-2 * Y3)^2, Y2 * Y1^6, (Y3 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 24, 72, 10, 58, 3, 51, 7, 55, 16, 64, 29, 77, 14, 62, 5, 53)(4, 52, 11, 59, 25, 73, 41, 89, 31, 79, 22, 70, 9, 57, 21, 69, 37, 85, 32, 80, 17, 65, 12, 60)(8, 56, 19, 67, 13, 61, 28, 76, 43, 91, 34, 82, 18, 66, 33, 81, 23, 71, 40, 88, 30, 78, 20, 68)(26, 74, 35, 83, 27, 75, 36, 84, 44, 92, 47, 95, 38, 86, 45, 93, 39, 87, 46, 94, 48, 96, 42, 90)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 125, 173)(113, 161, 127, 175)(115, 163, 129, 177)(116, 164, 130, 178)(121, 169, 133, 181)(122, 170, 134, 182)(123, 171, 135, 183)(124, 172, 136, 184)(126, 174, 139, 187)(128, 176, 137, 185)(131, 179, 141, 189)(132, 180, 142, 190)(138, 186, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 122)(12, 123)(13, 101)(14, 121)(15, 126)(16, 127)(17, 102)(18, 103)(19, 131)(20, 132)(21, 134)(22, 135)(23, 106)(24, 133)(25, 110)(26, 107)(27, 108)(28, 138)(29, 139)(30, 111)(31, 112)(32, 140)(33, 141)(34, 142)(35, 115)(36, 116)(37, 120)(38, 117)(39, 118)(40, 143)(41, 144)(42, 124)(43, 125)(44, 128)(45, 129)(46, 130)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.926
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.929 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y2 * Y1 * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y1, Y1^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 23, 71, 31, 79, 39, 87, 38, 86, 30, 78, 22, 70, 14, 62, 5, 53)(3, 51, 7, 55, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 43, 91, 35, 83, 27, 75, 19, 67, 10, 58)(4, 52, 11, 59, 20, 68, 28, 76, 36, 84, 44, 92, 47, 95, 42, 90, 33, 81, 26, 74, 17, 65, 12, 60)(8, 56, 9, 57, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 48, 96, 41, 89, 34, 82, 25, 73, 18, 66)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 108, 156)(107, 155, 109, 157)(110, 158, 115, 163)(111, 159, 120, 168)(113, 161, 114, 162)(116, 164, 117, 165)(118, 166, 123, 171)(119, 167, 128, 176)(121, 169, 122, 170)(124, 172, 125, 173)(126, 174, 131, 179)(127, 175, 136, 184)(129, 177, 130, 178)(132, 180, 133, 181)(134, 182, 139, 187)(135, 183, 142, 190)(137, 185, 138, 186)(140, 188, 141, 189)(143, 191, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 108)(8, 98)(9, 99)(10, 107)(11, 106)(12, 103)(13, 101)(14, 116)(15, 121)(16, 114)(17, 102)(18, 112)(19, 117)(20, 110)(21, 115)(22, 125)(23, 129)(24, 122)(25, 111)(26, 120)(27, 124)(28, 123)(29, 118)(30, 132)(31, 137)(32, 130)(33, 119)(34, 128)(35, 133)(36, 126)(37, 131)(38, 141)(39, 143)(40, 138)(41, 127)(42, 136)(43, 140)(44, 139)(45, 134)(46, 144)(47, 135)(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, 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 E17.925
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-2 * Y2)^2, (Y3 * Y1^-2)^2, Y1^-2 * Y3 * Y1 * Y2 * Y1^-3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y2 * Y1^3 * Y3 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 27, 75, 42, 90, 30, 78, 44, 92, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 37, 85, 24, 72, 8, 56, 23, 71, 15, 63, 33, 81, 39, 87, 18, 66, 11, 59)(4, 52, 12, 60, 31, 79, 36, 84, 22, 70, 7, 55, 20, 68, 14, 62, 32, 80, 40, 88, 19, 67, 13, 61)(10, 58, 21, 69, 38, 86, 47, 95, 46, 94, 26, 74, 41, 89, 29, 77, 43, 91, 48, 96, 45, 93, 28, 76)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 125, 173)(108, 156, 123, 171)(109, 157, 126, 174)(111, 159, 124, 172)(112, 160, 121, 169)(113, 161, 132, 180)(115, 163, 134, 182)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(127, 175, 141, 189)(128, 176, 142, 190)(129, 177, 131, 179)(130, 178, 136, 184)(133, 181, 143, 191)(135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 126)(12, 122)(13, 125)(14, 124)(15, 101)(16, 127)(17, 133)(18, 134)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 141)(26, 108)(27, 105)(28, 110)(29, 109)(30, 107)(31, 112)(32, 131)(33, 142)(34, 135)(35, 128)(36, 143)(37, 113)(38, 114)(39, 130)(40, 144)(41, 119)(42, 116)(43, 120)(44, 118)(45, 121)(46, 129)(47, 132)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.921
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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 :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, Y1^-1 * Y2 * Y1^-1 * Y3, (R * Y3)^2, (R * Y1)^2, Y1^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 44, 92, 39, 87, 30, 78, 23, 71, 14, 62, 8, 56)(4, 52, 11, 59, 19, 67, 27, 75, 35, 83, 43, 91, 45, 93, 38, 86, 31, 79, 22, 70, 15, 63, 7, 55)(10, 58, 16, 64, 24, 72, 32, 80, 40, 88, 46, 94, 48, 96, 47, 95, 42, 90, 34, 82, 26, 74, 18, 66)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 107, 155)(102, 150, 110, 158)(104, 152, 112, 160)(105, 153, 114, 162)(108, 156, 113, 161)(109, 157, 118, 166)(111, 159, 120, 168)(115, 163, 122, 170)(116, 164, 123, 171)(117, 165, 126, 174)(119, 167, 128, 176)(121, 169, 130, 178)(124, 172, 129, 177)(125, 173, 134, 182)(127, 175, 136, 184)(131, 179, 138, 186)(132, 180, 139, 187)(133, 181, 140, 188)(135, 183, 142, 190)(137, 185, 143, 191)(141, 189, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 105)(6, 111)(7, 112)(8, 98)(9, 101)(10, 99)(11, 114)(12, 115)(13, 119)(14, 120)(15, 102)(16, 103)(17, 122)(18, 107)(19, 108)(20, 121)(21, 127)(22, 128)(23, 109)(24, 110)(25, 116)(26, 113)(27, 130)(28, 131)(29, 135)(30, 136)(31, 117)(32, 118)(33, 138)(34, 123)(35, 124)(36, 137)(37, 141)(38, 142)(39, 125)(40, 126)(41, 132)(42, 129)(43, 143)(44, 144)(45, 133)(46, 134)(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) :: { ( 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 E17.922
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-1 * Y2 * Y1^-1)^2, (Y3 * Y1^-2)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 28, 76, 10, 58, 21, 69, 38, 86, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 40, 88, 19, 67, 13, 61, 4, 52, 12, 60, 31, 79, 39, 87, 18, 66, 11, 59)(7, 55, 20, 68, 14, 62, 32, 80, 37, 85, 24, 72, 8, 56, 23, 71, 15, 63, 33, 81, 36, 84, 22, 70)(26, 74, 41, 89, 29, 77, 43, 91, 47, 95, 46, 94, 27, 75, 42, 90, 30, 78, 44, 92, 48, 96, 45, 93)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 125, 173)(108, 156, 123, 171)(109, 157, 126, 174)(111, 159, 124, 172)(112, 160, 121, 169)(113, 161, 132, 180)(115, 163, 134, 182)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(127, 175, 131, 179)(128, 176, 141, 189)(129, 177, 142, 190)(130, 178, 133, 181)(135, 183, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 126)(12, 122)(13, 125)(14, 124)(15, 101)(16, 127)(17, 133)(18, 134)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 131)(26, 108)(27, 105)(28, 110)(29, 109)(30, 107)(31, 112)(32, 142)(33, 141)(34, 132)(35, 121)(36, 130)(37, 113)(38, 114)(39, 144)(40, 143)(41, 119)(42, 116)(43, 120)(44, 118)(45, 129)(46, 128)(47, 136)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.923
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y3^3, (R * Y3)^2, (Y3, Y1^-1), (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 6, 54, 10, 58, 20, 68, 15, 63, 4, 52, 9, 57, 17, 65, 5, 53)(3, 51, 11, 59, 25, 73, 31, 79, 14, 62, 28, 76, 35, 83, 29, 77, 12, 60, 27, 75, 19, 67, 13, 61)(8, 56, 21, 69, 16, 64, 33, 81, 24, 72, 38, 86, 32, 80, 39, 87, 22, 70, 37, 85, 34, 82, 23, 71)(26, 74, 36, 84, 30, 78, 40, 88, 43, 91, 47, 95, 44, 92, 48, 96, 41, 89, 46, 94, 45, 93, 42, 90)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 112, 160)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 120, 168)(106, 154, 118, 166)(107, 155, 122, 170)(109, 157, 126, 174)(111, 159, 128, 176)(113, 161, 121, 169)(114, 162, 130, 178)(116, 164, 131, 179)(117, 165, 132, 180)(119, 167, 136, 184)(123, 171, 139, 187)(124, 172, 137, 185)(125, 173, 140, 188)(127, 175, 141, 189)(129, 177, 138, 186)(133, 181, 143, 191)(134, 182, 142, 190)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 111)(6, 97)(7, 113)(8, 118)(9, 106)(10, 98)(11, 123)(12, 110)(13, 125)(14, 99)(15, 114)(16, 130)(17, 116)(18, 101)(19, 131)(20, 103)(21, 133)(22, 120)(23, 135)(24, 104)(25, 115)(26, 137)(27, 124)(28, 107)(29, 127)(30, 141)(31, 109)(32, 112)(33, 119)(34, 128)(35, 121)(36, 142)(37, 134)(38, 117)(39, 129)(40, 138)(41, 139)(42, 144)(43, 122)(44, 126)(45, 140)(46, 143)(47, 132)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.917
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, (Y3 * Y2)^2, (Y3, Y1), (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y3 * Y1^-1 * Y2, Y3^2 * Y1^-4, (Y2 * Y1^2)^2, (R * Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 15, 63, 27, 75, 40, 88, 37, 85, 20, 68, 28, 76, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 35, 83, 31, 79, 44, 92, 48, 96, 46, 94, 33, 81, 26, 74, 22, 70, 13, 61)(4, 52, 9, 57, 23, 71, 38, 86, 34, 82, 42, 90, 36, 84, 19, 67, 6, 54, 10, 58, 24, 72, 16, 64)(8, 56, 25, 73, 17, 65, 12, 60, 30, 78, 43, 91, 47, 95, 45, 93, 41, 89, 39, 87, 32, 80, 14, 62)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 122, 170)(106, 154, 107, 155)(109, 157, 112, 160)(111, 159, 129, 177)(114, 162, 125, 173)(115, 163, 131, 179)(116, 164, 127, 175)(117, 165, 128, 176)(119, 167, 135, 183)(120, 168, 121, 169)(123, 171, 137, 185)(124, 172, 126, 174)(130, 178, 141, 189)(132, 180, 139, 187)(133, 181, 143, 191)(134, 182, 142, 190)(136, 184, 144, 192)(138, 186, 140, 188)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 107)(9, 123)(10, 98)(11, 126)(12, 127)(13, 113)(14, 99)(15, 130)(16, 117)(17, 131)(18, 120)(19, 101)(20, 102)(21, 134)(22, 121)(23, 136)(24, 103)(25, 125)(26, 104)(27, 138)(28, 106)(29, 139)(30, 140)(31, 141)(32, 109)(33, 110)(34, 116)(35, 143)(36, 114)(37, 115)(38, 133)(39, 118)(40, 132)(41, 122)(42, 124)(43, 144)(44, 137)(45, 129)(46, 128)(47, 142)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.920
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, (Y3^-1, Y1), (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1^-4, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y3^6, Y1 * Y3 * Y2 * Y1 * Y3^-2 * Y2, Y1 * Y3^3 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 15, 63, 29, 77, 47, 95, 45, 93, 20, 68, 30, 78, 18, 66, 5, 53)(3, 51, 11, 59, 31, 79, 28, 76, 35, 83, 41, 89, 48, 96, 26, 74, 39, 87, 43, 91, 22, 70, 13, 61)(4, 52, 9, 57, 23, 71, 32, 80, 40, 88, 37, 85, 44, 92, 19, 67, 6, 54, 10, 58, 24, 72, 16, 64)(8, 56, 25, 73, 17, 65, 42, 90, 38, 86, 14, 62, 34, 82, 46, 94, 36, 84, 12, 60, 33, 81, 27, 75)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 124, 172)(106, 154, 122, 170)(107, 155, 128, 176)(109, 157, 133, 181)(111, 159, 135, 183)(112, 160, 137, 185)(114, 162, 127, 175)(115, 163, 139, 187)(116, 164, 131, 179)(117, 165, 129, 177)(119, 167, 138, 186)(120, 168, 142, 190)(121, 169, 136, 184)(123, 171, 140, 188)(125, 173, 132, 180)(126, 174, 134, 182)(130, 178, 141, 189)(143, 191, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 129)(12, 131)(13, 132)(14, 99)(15, 136)(16, 117)(17, 139)(18, 120)(19, 101)(20, 102)(21, 128)(22, 142)(23, 143)(24, 103)(25, 135)(26, 134)(27, 144)(28, 104)(29, 133)(30, 106)(31, 123)(32, 141)(33, 137)(34, 107)(35, 121)(36, 124)(37, 126)(38, 109)(39, 110)(40, 116)(41, 113)(42, 118)(43, 130)(44, 114)(45, 115)(46, 127)(47, 140)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E17.919
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.936 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y2^2, Y1 * Y3^-1 * Y1, (R * Y1)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, Y2 * Y3^-1 * R * Y3 * Y2 * R, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1^-1)^4, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 8, 56, 13, 61, 20, 68, 27, 75, 30, 78, 16, 64, 15, 63, 6, 54, 5, 53)(3, 51, 9, 57, 10, 58, 22, 70, 23, 71, 37, 85, 38, 86, 40, 88, 26, 74, 25, 73, 12, 60, 11, 59)(7, 55, 17, 65, 14, 62, 28, 76, 29, 77, 41, 89, 42, 90, 44, 92, 34, 82, 33, 81, 19, 67, 18, 66)(21, 69, 31, 79, 24, 72, 32, 80, 39, 87, 43, 91, 47, 95, 48, 96, 46, 94, 45, 93, 36, 84, 35, 83)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 110, 158)(102, 150, 106, 154)(104, 152, 115, 163)(105, 153, 117, 165)(107, 155, 120, 168)(109, 157, 122, 170)(111, 159, 125, 173)(112, 160, 119, 167)(113, 161, 127, 175)(114, 162, 128, 176)(116, 164, 130, 178)(118, 166, 132, 180)(121, 169, 135, 183)(123, 171, 134, 182)(124, 172, 131, 179)(126, 174, 138, 186)(129, 177, 139, 187)(133, 181, 142, 190)(136, 184, 143, 191)(137, 185, 141, 189)(140, 188, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 109)(5, 98)(6, 97)(7, 110)(8, 116)(9, 118)(10, 119)(11, 105)(12, 99)(13, 123)(14, 125)(15, 101)(16, 102)(17, 124)(18, 113)(19, 103)(20, 126)(21, 120)(22, 133)(23, 134)(24, 135)(25, 107)(26, 108)(27, 112)(28, 137)(29, 138)(30, 111)(31, 128)(32, 139)(33, 114)(34, 115)(35, 127)(36, 117)(37, 136)(38, 122)(39, 143)(40, 121)(41, 140)(42, 130)(43, 144)(44, 129)(45, 131)(46, 132)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.918
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.937 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y3^-1 * Y1, (Y3 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^12 ]
Map:: non-degenerate
	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, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 100)(7, 101)(8, 99)(9, 109)(10, 112)(11, 110)(12, 111)(13, 104)(14, 103)(15, 118)(16, 117)(17, 106)(18, 121)(19, 108)(20, 123)(21, 113)(22, 115)(23, 116)(24, 114)(25, 125)(26, 128)(27, 126)(28, 127)(29, 120)(30, 119)(31, 134)(32, 133)(33, 122)(34, 137)(35, 124)(36, 139)(37, 129)(38, 131)(39, 132)(40, 130)(41, 140)(42, 142)(43, 141)(44, 136)(45, 135)(46, 144)(47, 138)(48, 143)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.916
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.938 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, Y1^-1 * Y3^-2 * Y1^-1, Y1^4, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2^-2 * Y1^-1 * Y2 * Y3^-1 * Y2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 21, 69, 11, 59)(4, 52, 10, 58, 7, 55, 12, 60)(6, 54, 18, 66, 22, 70, 9, 57)(14, 62, 28, 76, 37, 85, 29, 77)(15, 63, 26, 74, 16, 64, 27, 75)(17, 65, 24, 72, 19, 67, 25, 73)(20, 68, 23, 71, 38, 86, 34, 82)(30, 78, 45, 93, 47, 95, 44, 92)(31, 79, 42, 90, 32, 80, 43, 91)(33, 81, 40, 88, 35, 83, 41, 89)(36, 84, 46, 94, 48, 96, 39, 87)(97, 145, 99, 147, 110, 158, 126, 174, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 127, 175, 112, 160, 100, 148, 113, 161, 129, 177, 140, 188, 124, 172, 107, 155)(101, 149, 114, 162, 130, 178, 142, 190, 128, 176, 111, 159, 103, 151, 115, 163, 131, 179, 141, 189, 125, 173, 109, 157)(104, 152, 117, 165, 133, 181, 143, 191, 136, 184, 121, 169, 106, 154, 122, 170, 138, 186, 144, 192, 134, 182, 118, 166)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 122)(14, 127)(15, 117)(16, 99)(17, 102)(18, 121)(19, 118)(20, 129)(21, 112)(22, 113)(23, 136)(24, 114)(25, 105)(26, 107)(27, 109)(28, 138)(29, 139)(30, 142)(31, 133)(32, 110)(33, 134)(34, 137)(35, 116)(36, 141)(37, 128)(38, 131)(39, 126)(40, 130)(41, 119)(42, 125)(43, 124)(44, 132)(45, 144)(46, 143)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.914
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.939 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 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, (Y3, Y1), Y3^-2 * Y1^2, (R * Y3)^2, Y3^2 * Y1^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^4, (Y2 * Y1^-1)^2, (Y2^-1 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^4 * Y1^-1 * Y2^-1, Y2^3 * Y3 * Y2^-3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 21, 69, 11, 59)(4, 52, 10, 58, 7, 55, 12, 60)(6, 54, 18, 66, 22, 70, 9, 57)(14, 62, 28, 76, 37, 85, 29, 77)(15, 63, 26, 74, 16, 64, 27, 75)(17, 65, 24, 72, 19, 67, 25, 73)(20, 68, 23, 71, 38, 86, 34, 82)(30, 78, 45, 93, 47, 95, 44, 92)(31, 79, 42, 90, 32, 80, 43, 91)(33, 81, 40, 88, 35, 83, 41, 89)(36, 84, 46, 94, 48, 96, 39, 87)(97, 145, 99, 147, 110, 158, 126, 174, 136, 184, 121, 169, 106, 154, 122, 170, 138, 186, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 128, 176, 111, 159, 103, 151, 115, 163, 131, 179, 140, 188, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 125, 173, 109, 157, 101, 149, 114, 162, 130, 178, 142, 190, 127, 175, 112, 160)(104, 152, 117, 165, 133, 181, 143, 191, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 144, 192, 134, 182, 118, 166)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 122)(14, 127)(15, 117)(16, 99)(17, 102)(18, 121)(19, 118)(20, 129)(21, 112)(22, 113)(23, 136)(24, 114)(25, 105)(26, 107)(27, 109)(28, 138)(29, 139)(30, 135)(31, 133)(32, 110)(33, 134)(34, 137)(35, 116)(36, 140)(37, 128)(38, 131)(39, 143)(40, 130)(41, 119)(42, 125)(43, 124)(44, 144)(45, 132)(46, 126)(47, 142)(48, 141)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.915
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.940 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1, (Y3 * Y2)^3, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y3 * Y1^-4, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 66, 18, 58, 10, 70, 22, 86, 38, 82, 34, 61, 13, 73, 25, 65, 17, 53, 5, 49)(3, 57, 9, 68, 20, 62, 14, 52, 4, 60, 12, 80, 32, 95, 47, 77, 29, 87, 39, 67, 19, 59, 11, 51)(7, 69, 21, 63, 15, 74, 26, 56, 8, 72, 24, 64, 16, 84, 36, 90, 42, 96, 48, 85, 37, 71, 23, 55)(27, 92, 44, 78, 30, 93, 45, 76, 28, 94, 46, 79, 31, 88, 40, 81, 33, 91, 43, 83, 35, 89, 41, 75)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 29)(11, 30)(12, 33)(14, 35)(16, 34)(17, 20)(18, 37)(21, 40)(22, 42)(23, 43)(24, 45)(26, 46)(28, 39)(31, 47)(32, 38)(36, 44)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 68)(55, 70)(57, 76)(59, 79)(60, 75)(61, 77)(62, 78)(63, 66)(65, 80)(67, 86)(69, 89)(71, 92)(72, 88)(73, 90)(74, 91)(81, 87)(82, 85)(83, 95)(84, 94)(93, 96)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.942
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.941 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y2 * Y1^-1, (R * Y1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y2 * Y1^10 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 62, 14, 74, 26, 86, 38, 94, 46, 92, 44, 82, 34, 70, 22, 58, 10, 53, 5, 49)(3, 57, 9, 67, 19, 81, 33, 91, 43, 96, 48, 87, 39, 76, 28, 63, 15, 60, 12, 52, 4, 59, 11, 51)(7, 64, 16, 61, 13, 73, 25, 84, 36, 93, 45, 95, 47, 88, 40, 75, 27, 66, 18, 56, 8, 65, 17, 55)(20, 83, 35, 71, 23, 85, 37, 72, 24, 78, 30, 89, 41, 77, 29, 90, 42, 79, 31, 69, 21, 80, 32, 68)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 20)(10, 19)(11, 23)(12, 24)(15, 26)(16, 29)(17, 31)(18, 32)(21, 33)(22, 36)(25, 30)(27, 38)(28, 41)(34, 43)(35, 40)(37, 45)(39, 46)(42, 48)(44, 47)(49, 52)(50, 56)(51, 58)(53, 55)(54, 63)(57, 69)(59, 68)(60, 71)(61, 70)(62, 75)(64, 78)(65, 77)(66, 79)(67, 82)(72, 76)(73, 85)(74, 87)(80, 88)(81, 90)(83, 93)(84, 92)(86, 95)(89, 96)(91, 94)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.943
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.942 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y3 * Y2)^3, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y3 * Y1^-1)^12 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 65, 17, 59, 11, 51)(4, 60, 12, 66, 18, 62, 14, 52)(7, 67, 19, 63, 15, 69, 21, 55)(8, 70, 22, 64, 16, 72, 24, 56)(10, 68, 20, 82, 34, 76, 28, 58)(13, 71, 23, 83, 35, 80, 32, 61)(25, 87, 39, 77, 29, 84, 36, 73)(26, 88, 40, 78, 30, 85, 37, 74)(27, 91, 43, 94, 46, 92, 44, 75)(31, 90, 42, 81, 33, 89, 41, 79)(38, 95, 47, 93, 45, 96, 48, 86)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 33)(16, 32)(18, 35)(19, 36)(20, 38)(21, 39)(22, 41)(24, 42)(26, 43)(28, 45)(30, 44)(34, 46)(37, 47)(40, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 66)(55, 68)(57, 74)(59, 78)(60, 73)(61, 75)(62, 77)(63, 76)(65, 82)(67, 85)(69, 88)(70, 84)(71, 86)(72, 87)(79, 91)(80, 93)(81, 92)(83, 94)(89, 95)(90, 96)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.940
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.943 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: halfedge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-2 * Y3, Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 50, 2, 54, 6, 53, 5, 49)(3, 57, 9, 65, 17, 59, 11, 51)(4, 60, 12, 66, 18, 62, 14, 52)(7, 67, 19, 63, 15, 69, 21, 55)(8, 70, 22, 64, 16, 72, 24, 56)(10, 68, 20, 83, 35, 76, 28, 58)(13, 71, 23, 84, 36, 81, 33, 61)(25, 88, 40, 77, 29, 85, 37, 73)(26, 89, 41, 78, 30, 86, 38, 74)(27, 93, 45, 80, 32, 94, 46, 75)(31, 92, 44, 82, 34, 90, 42, 79)(39, 95, 47, 91, 43, 96, 48, 87)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 34)(16, 33)(18, 36)(19, 37)(20, 39)(21, 40)(22, 42)(24, 44)(26, 45)(28, 43)(30, 46)(32, 35)(38, 47)(41, 48)(49, 52)(50, 56)(51, 58)(53, 64)(54, 66)(55, 68)(57, 74)(59, 78)(60, 73)(61, 80)(62, 77)(63, 76)(65, 83)(67, 86)(69, 89)(70, 85)(71, 91)(72, 88)(75, 84)(79, 94)(81, 87)(82, 93)(90, 96)(92, 95)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.941
Transitivity :: VT+ AT
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.944 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 5, 53)(2, 50, 7, 55, 22, 70, 8, 56)(3, 51, 10, 58, 28, 76, 11, 59)(6, 54, 18, 66, 37, 85, 19, 67)(9, 57, 25, 73, 43, 91, 26, 74)(12, 60, 30, 78, 15, 63, 31, 79)(13, 61, 32, 80, 16, 64, 33, 81)(17, 65, 34, 82, 46, 94, 35, 83)(20, 68, 39, 87, 23, 71, 40, 88)(21, 69, 41, 89, 24, 72, 42, 90)(27, 75, 44, 92, 29, 77, 45, 93)(36, 84, 47, 95, 38, 86, 48, 96)(97, 98)(99, 105)(100, 108)(101, 111)(102, 113)(103, 116)(104, 119)(106, 123)(107, 125)(109, 121)(110, 118)(112, 122)(114, 132)(115, 134)(117, 130)(120, 131)(124, 139)(126, 136)(127, 135)(128, 141)(129, 140)(133, 142)(137, 144)(138, 143)(145, 147)(146, 150)(148, 157)(149, 160)(151, 165)(152, 168)(153, 161)(154, 164)(155, 167)(156, 162)(158, 172)(159, 163)(166, 181)(169, 180)(170, 182)(171, 178)(173, 179)(174, 186)(175, 185)(176, 184)(177, 183)(187, 190)(188, 192)(189, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.950
Graph:: simple bipartite
	v = 60 e = 96 f = 4
	degree seq :: [ 2^48, 8^12 ]

E17.945 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 5, 53)(2, 50, 7, 55, 22, 70, 8, 56)(3, 51, 10, 58, 29, 77, 11, 59)(6, 54, 18, 66, 39, 87, 19, 67)(9, 57, 26, 74, 35, 83, 27, 75)(12, 60, 31, 79, 15, 63, 32, 80)(13, 61, 33, 81, 16, 64, 34, 82)(17, 65, 36, 84, 25, 73, 37, 85)(20, 68, 41, 89, 23, 71, 42, 90)(21, 69, 43, 91, 24, 72, 44, 92)(28, 76, 45, 93, 30, 78, 46, 94)(38, 86, 47, 95, 40, 88, 48, 96)(97, 98)(99, 105)(100, 108)(101, 111)(102, 113)(103, 116)(104, 119)(106, 124)(107, 126)(109, 122)(110, 118)(112, 123)(114, 134)(115, 136)(117, 132)(120, 133)(121, 135)(125, 131)(127, 138)(128, 137)(129, 142)(130, 141)(139, 144)(140, 143)(145, 147)(146, 150)(148, 157)(149, 160)(151, 165)(152, 168)(153, 169)(154, 164)(155, 167)(156, 162)(158, 173)(159, 163)(161, 179)(166, 183)(170, 184)(171, 182)(172, 181)(174, 180)(175, 188)(176, 187)(177, 186)(178, 185)(189, 191)(190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.951
Graph:: simple bipartite
	v = 60 e = 96 f = 4
	degree seq :: [ 2^48, 8^12 ]

E17.946 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^4 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y2 * Y1)^3, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 4, 52, 14, 62, 28, 76, 9, 57, 27, 75, 41, 89, 20, 68, 6, 54, 19, 67, 17, 65, 5, 53)(2, 50, 7, 55, 23, 71, 38, 86, 18, 66, 37, 85, 31, 79, 11, 59, 3, 51, 10, 58, 26, 74, 8, 56)(12, 60, 32, 80, 15, 63, 36, 84, 39, 87, 48, 96, 40, 88, 35, 83, 13, 61, 34, 82, 16, 64, 33, 81)(21, 69, 42, 90, 24, 72, 46, 94, 29, 77, 47, 95, 30, 78, 45, 93, 22, 70, 44, 92, 25, 73, 43, 91)(97, 98)(99, 105)(100, 108)(101, 111)(102, 114)(103, 117)(104, 120)(106, 125)(107, 126)(109, 123)(110, 122)(112, 124)(113, 119)(115, 135)(116, 136)(118, 133)(121, 134)(127, 137)(128, 141)(129, 140)(130, 139)(131, 138)(132, 143)(142, 144)(145, 147)(146, 150)(148, 157)(149, 160)(151, 166)(152, 169)(153, 162)(154, 165)(155, 168)(156, 163)(158, 175)(159, 164)(161, 170)(167, 185)(171, 183)(172, 184)(173, 181)(174, 182)(176, 190)(177, 191)(178, 189)(179, 188)(180, 186)(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) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.948
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.947 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 12})
Quotient :: edge^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y1 * Y3^-10 * Y2, (Y1 * Y2)^6 ]
Map::
	R = (1, 49, 4, 52, 6, 54, 15, 63, 26, 74, 39, 87, 46, 94, 44, 92, 33, 81, 20, 68, 9, 57, 5, 53)(2, 50, 7, 55, 3, 51, 10, 58, 19, 67, 34, 82, 43, 91, 47, 95, 38, 86, 27, 75, 14, 62, 8, 56)(11, 59, 22, 70, 12, 60, 24, 72, 13, 61, 25, 73, 35, 83, 42, 90, 48, 96, 41, 89, 28, 76, 23, 71)(16, 64, 29, 77, 17, 65, 31, 79, 18, 66, 32, 80, 40, 88, 37, 85, 45, 93, 36, 84, 21, 69, 30, 78)(97, 98)(99, 105)(100, 107)(101, 108)(102, 110)(103, 112)(104, 113)(106, 117)(109, 116)(111, 124)(114, 123)(115, 129)(118, 133)(119, 132)(120, 128)(121, 127)(122, 134)(125, 138)(126, 137)(130, 141)(131, 140)(135, 144)(136, 143)(139, 142)(145, 147)(146, 150)(148, 156)(149, 157)(151, 161)(152, 162)(153, 163)(154, 160)(155, 159)(158, 170)(164, 179)(165, 178)(166, 180)(167, 174)(168, 181)(169, 176)(171, 184)(172, 183)(173, 185)(175, 186)(177, 187)(182, 190)(188, 192)(189, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.949
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.948 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-2 * Y1)^2, (Y3 * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y2 * Y1)^3, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 28, 76, 124, 172, 11, 59, 107, 155)(6, 54, 102, 150, 18, 66, 114, 162, 37, 85, 133, 181, 19, 67, 115, 163)(9, 57, 105, 153, 25, 73, 121, 169, 43, 91, 139, 187, 26, 74, 122, 170)(12, 60, 108, 156, 30, 78, 126, 174, 15, 63, 111, 159, 31, 79, 127, 175)(13, 61, 109, 157, 32, 80, 128, 176, 16, 64, 112, 160, 33, 81, 129, 177)(17, 65, 113, 161, 34, 82, 130, 178, 46, 94, 142, 190, 35, 83, 131, 179)(20, 68, 116, 164, 39, 87, 135, 183, 23, 71, 119, 167, 40, 88, 136, 184)(21, 69, 117, 165, 41, 89, 137, 185, 24, 72, 120, 168, 42, 90, 138, 186)(27, 75, 123, 171, 44, 92, 140, 188, 29, 77, 125, 173, 45, 93, 141, 189)(36, 84, 132, 180, 47, 95, 143, 191, 38, 86, 134, 182, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 65)(7, 68)(8, 71)(9, 51)(10, 75)(11, 77)(12, 52)(13, 73)(14, 70)(15, 53)(16, 74)(17, 54)(18, 84)(19, 86)(20, 55)(21, 82)(22, 62)(23, 56)(24, 83)(25, 61)(26, 64)(27, 58)(28, 91)(29, 59)(30, 88)(31, 87)(32, 93)(33, 92)(34, 69)(35, 72)(36, 66)(37, 94)(38, 67)(39, 79)(40, 78)(41, 96)(42, 95)(43, 76)(44, 81)(45, 80)(46, 85)(47, 90)(48, 89)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 165)(104, 168)(105, 161)(106, 164)(107, 167)(108, 162)(109, 148)(110, 172)(111, 163)(112, 149)(113, 153)(114, 156)(115, 159)(116, 154)(117, 151)(118, 181)(119, 155)(120, 152)(121, 180)(122, 182)(123, 178)(124, 158)(125, 179)(126, 186)(127, 185)(128, 184)(129, 183)(130, 171)(131, 173)(132, 169)(133, 166)(134, 170)(135, 177)(136, 176)(137, 175)(138, 174)(139, 190)(140, 192)(141, 191)(142, 187)(143, 189)(144, 188)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.946
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 16^12 ]

E17.949 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-2 * Y2)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 22, 70, 118, 166, 8, 56, 104, 152)(3, 51, 99, 147, 10, 58, 106, 154, 29, 77, 125, 173, 11, 59, 107, 155)(6, 54, 102, 150, 18, 66, 114, 162, 39, 87, 135, 183, 19, 67, 115, 163)(9, 57, 105, 153, 26, 74, 122, 170, 35, 83, 131, 179, 27, 75, 123, 171)(12, 60, 108, 156, 31, 79, 127, 175, 15, 63, 111, 159, 32, 80, 128, 176)(13, 61, 109, 157, 33, 81, 129, 177, 16, 64, 112, 160, 34, 82, 130, 178)(17, 65, 113, 161, 36, 84, 132, 180, 25, 73, 121, 169, 37, 85, 133, 181)(20, 68, 116, 164, 41, 89, 137, 185, 23, 71, 119, 167, 42, 90, 138, 186)(21, 69, 117, 165, 43, 91, 139, 187, 24, 72, 120, 168, 44, 92, 140, 188)(28, 76, 124, 172, 45, 93, 141, 189, 30, 78, 126, 174, 46, 94, 142, 190)(38, 86, 134, 182, 47, 95, 143, 191, 40, 88, 136, 184, 48, 96, 144, 192)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 65)(7, 68)(8, 71)(9, 51)(10, 76)(11, 78)(12, 52)(13, 74)(14, 70)(15, 53)(16, 75)(17, 54)(18, 86)(19, 88)(20, 55)(21, 84)(22, 62)(23, 56)(24, 85)(25, 87)(26, 61)(27, 64)(28, 58)(29, 83)(30, 59)(31, 90)(32, 89)(33, 94)(34, 93)(35, 77)(36, 69)(37, 72)(38, 66)(39, 73)(40, 67)(41, 80)(42, 79)(43, 96)(44, 95)(45, 82)(46, 81)(47, 92)(48, 91)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 165)(104, 168)(105, 169)(106, 164)(107, 167)(108, 162)(109, 148)(110, 173)(111, 163)(112, 149)(113, 179)(114, 156)(115, 159)(116, 154)(117, 151)(118, 183)(119, 155)(120, 152)(121, 153)(122, 184)(123, 182)(124, 181)(125, 158)(126, 180)(127, 188)(128, 187)(129, 186)(130, 185)(131, 161)(132, 174)(133, 172)(134, 171)(135, 166)(136, 170)(137, 178)(138, 177)(139, 176)(140, 175)(141, 191)(142, 192)(143, 189)(144, 190)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.947
Transitivity :: VT+
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 16^12 ]

E17.950 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^4 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-1, (Y2 * Y1)^3, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^2 * Y2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 14, 62, 110, 158, 28, 76, 124, 172, 9, 57, 105, 153, 27, 75, 123, 171, 41, 89, 137, 185, 20, 68, 116, 164, 6, 54, 102, 150, 19, 67, 115, 163, 17, 65, 113, 161, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 23, 71, 119, 167, 38, 86, 134, 182, 18, 66, 114, 162, 37, 85, 133, 181, 31, 79, 127, 175, 11, 59, 107, 155, 3, 51, 99, 147, 10, 58, 106, 154, 26, 74, 122, 170, 8, 56, 104, 152)(12, 60, 108, 156, 32, 80, 128, 176, 15, 63, 111, 159, 36, 84, 132, 180, 39, 87, 135, 183, 48, 96, 144, 192, 40, 88, 136, 184, 35, 83, 131, 179, 13, 61, 109, 157, 34, 82, 130, 178, 16, 64, 112, 160, 33, 81, 129, 177)(21, 69, 117, 165, 42, 90, 138, 186, 24, 72, 120, 168, 46, 94, 142, 190, 29, 77, 125, 173, 47, 95, 143, 191, 30, 78, 126, 174, 45, 93, 141, 189, 22, 70, 118, 166, 44, 92, 140, 188, 25, 73, 121, 169, 43, 91, 139, 187)
	L = (1, 50)(2, 49)(3, 57)(4, 60)(5, 63)(6, 66)(7, 69)(8, 72)(9, 51)(10, 77)(11, 78)(12, 52)(13, 75)(14, 74)(15, 53)(16, 76)(17, 71)(18, 54)(19, 87)(20, 88)(21, 55)(22, 85)(23, 65)(24, 56)(25, 86)(26, 62)(27, 61)(28, 64)(29, 58)(30, 59)(31, 89)(32, 93)(33, 92)(34, 91)(35, 90)(36, 95)(37, 70)(38, 73)(39, 67)(40, 68)(41, 79)(42, 83)(43, 82)(44, 81)(45, 80)(46, 96)(47, 84)(48, 94)(97, 147)(98, 150)(99, 145)(100, 157)(101, 160)(102, 146)(103, 166)(104, 169)(105, 162)(106, 165)(107, 168)(108, 163)(109, 148)(110, 175)(111, 164)(112, 149)(113, 170)(114, 153)(115, 156)(116, 159)(117, 154)(118, 151)(119, 185)(120, 155)(121, 152)(122, 161)(123, 183)(124, 184)(125, 181)(126, 182)(127, 158)(128, 190)(129, 191)(130, 189)(131, 188)(132, 186)(133, 173)(134, 174)(135, 171)(136, 172)(137, 167)(138, 180)(139, 192)(140, 179)(141, 178)(142, 176)(143, 177)(144, 187)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.944
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 60
	degree seq :: [ 48^4 ]

E17.951 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 12})
Quotient :: loop^2
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (C8 x S3) : C2 (small group id <96, 126>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y1 * Y3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2, Y1 * Y3^-10 * Y2, (Y1 * Y2)^6 ]
Map::
	R = (1, 49, 97, 145, 4, 52, 100, 148, 6, 54, 102, 150, 15, 63, 111, 159, 26, 74, 122, 170, 39, 87, 135, 183, 46, 94, 142, 190, 44, 92, 140, 188, 33, 81, 129, 177, 20, 68, 116, 164, 9, 57, 105, 153, 5, 53, 101, 149)(2, 50, 98, 146, 7, 55, 103, 151, 3, 51, 99, 147, 10, 58, 106, 154, 19, 67, 115, 163, 34, 82, 130, 178, 43, 91, 139, 187, 47, 95, 143, 191, 38, 86, 134, 182, 27, 75, 123, 171, 14, 62, 110, 158, 8, 56, 104, 152)(11, 59, 107, 155, 22, 70, 118, 166, 12, 60, 108, 156, 24, 72, 120, 168, 13, 61, 109, 157, 25, 73, 121, 169, 35, 83, 131, 179, 42, 90, 138, 186, 48, 96, 144, 192, 41, 89, 137, 185, 28, 76, 124, 172, 23, 71, 119, 167)(16, 64, 112, 160, 29, 77, 125, 173, 17, 65, 113, 161, 31, 79, 127, 175, 18, 66, 114, 162, 32, 80, 128, 176, 40, 88, 136, 184, 37, 85, 133, 181, 45, 93, 141, 189, 36, 84, 132, 180, 21, 69, 117, 165, 30, 78, 126, 174)
	L = (1, 50)(2, 49)(3, 57)(4, 59)(5, 60)(6, 62)(7, 64)(8, 65)(9, 51)(10, 69)(11, 52)(12, 53)(13, 68)(14, 54)(15, 76)(16, 55)(17, 56)(18, 75)(19, 81)(20, 61)(21, 58)(22, 85)(23, 84)(24, 80)(25, 79)(26, 86)(27, 66)(28, 63)(29, 90)(30, 89)(31, 73)(32, 72)(33, 67)(34, 93)(35, 92)(36, 71)(37, 70)(38, 74)(39, 96)(40, 95)(41, 78)(42, 77)(43, 94)(44, 83)(45, 82)(46, 91)(47, 88)(48, 87)(97, 147)(98, 150)(99, 145)(100, 156)(101, 157)(102, 146)(103, 161)(104, 162)(105, 163)(106, 160)(107, 159)(108, 148)(109, 149)(110, 170)(111, 155)(112, 154)(113, 151)(114, 152)(115, 153)(116, 179)(117, 178)(118, 180)(119, 174)(120, 181)(121, 176)(122, 158)(123, 184)(124, 183)(125, 185)(126, 167)(127, 186)(128, 169)(129, 187)(130, 165)(131, 164)(132, 166)(133, 168)(134, 190)(135, 172)(136, 171)(137, 173)(138, 175)(139, 177)(140, 192)(141, 191)(142, 182)(143, 189)(144, 188)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.945
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 96 f = 60
	degree seq :: [ 48^4 ]

E17.952 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^4, (Y3^-1, Y2^-1), (Y3^-1 * Y1)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 16, 64)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 23, 71)(12, 60, 19, 67)(13, 61, 28, 76)(14, 62, 26, 74)(15, 63, 31, 79)(17, 65, 32, 80)(20, 68, 36, 84)(21, 69, 34, 82)(22, 70, 39, 87)(24, 72, 40, 88)(25, 73, 35, 83)(27, 75, 33, 81)(29, 77, 38, 86)(30, 78, 37, 85)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 109, 157, 125, 173, 111, 159)(102, 150, 110, 158, 126, 174, 113, 161)(104, 152, 116, 164, 133, 181, 118, 166)(106, 154, 117, 165, 134, 182, 120, 168)(107, 155, 121, 169, 112, 160, 123, 171)(114, 162, 129, 177, 119, 167, 131, 179)(122, 170, 137, 185, 128, 176, 139, 187)(124, 172, 138, 186, 127, 175, 140, 188)(130, 178, 141, 189, 136, 184, 143, 191)(132, 180, 142, 190, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 102)(5, 111)(6, 97)(7, 116)(8, 106)(9, 118)(10, 98)(11, 122)(12, 125)(13, 110)(14, 99)(15, 113)(16, 128)(17, 101)(18, 130)(19, 133)(20, 117)(21, 103)(22, 120)(23, 136)(24, 105)(25, 137)(26, 124)(27, 139)(28, 107)(29, 126)(30, 108)(31, 112)(32, 127)(33, 141)(34, 132)(35, 143)(36, 114)(37, 134)(38, 115)(39, 119)(40, 135)(41, 138)(42, 121)(43, 140)(44, 123)(45, 142)(46, 129)(47, 144)(48, 131)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.954
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.953 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3, Y2), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3^3 * Y2^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 20, 68)(9, 57, 26, 74)(12, 60, 21, 69)(13, 61, 32, 80)(14, 62, 30, 78)(15, 63, 28, 76)(16, 64, 33, 81)(18, 66, 34, 82)(19, 67, 24, 72)(22, 70, 38, 86)(23, 71, 36, 84)(25, 73, 39, 87)(27, 75, 40, 88)(29, 77, 37, 85)(31, 79, 35, 83)(41, 89, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(44, 92, 45, 93)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 117, 165, 105, 153)(100, 148, 109, 157, 115, 163, 112, 160)(102, 150, 110, 158, 111, 159, 114, 162)(104, 152, 118, 166, 124, 172, 121, 169)(106, 154, 119, 167, 120, 168, 123, 171)(107, 155, 125, 173, 113, 161, 127, 175)(116, 164, 131, 179, 122, 170, 133, 181)(126, 174, 137, 185, 130, 178, 139, 187)(128, 176, 138, 186, 129, 177, 140, 188)(132, 180, 141, 189, 136, 184, 143, 191)(134, 182, 142, 190, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 111)(5, 112)(6, 97)(7, 118)(8, 120)(9, 121)(10, 98)(11, 126)(12, 115)(13, 114)(14, 99)(15, 108)(16, 110)(17, 130)(18, 101)(19, 102)(20, 132)(21, 124)(22, 123)(23, 103)(24, 117)(25, 119)(26, 136)(27, 105)(28, 106)(29, 137)(30, 129)(31, 139)(32, 107)(33, 113)(34, 128)(35, 141)(36, 135)(37, 143)(38, 116)(39, 122)(40, 134)(41, 140)(42, 125)(43, 138)(44, 127)(45, 144)(46, 131)(47, 142)(48, 133)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.955
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.954 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, (R * Y3)^2, (Y3 * Y2)^2, (Y3, Y1^-1), (R * Y1)^2, Y3 * Y1^4, (Y2 * Y1^2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 6, 54, 10, 58, 20, 68, 15, 63, 4, 52, 9, 57, 17, 65, 5, 53)(3, 51, 11, 59, 25, 73, 31, 79, 14, 62, 28, 76, 35, 83, 29, 77, 12, 60, 27, 75, 19, 67, 13, 61)(8, 56, 21, 69, 16, 64, 33, 81, 24, 72, 38, 86, 32, 80, 39, 87, 22, 70, 37, 85, 34, 82, 23, 71)(26, 74, 41, 89, 30, 78, 46, 94, 44, 92, 48, 96, 45, 93, 36, 84, 42, 90, 40, 88, 47, 95, 43, 91)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 112, 160)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 120, 168)(106, 154, 118, 166)(107, 155, 122, 170)(109, 157, 126, 174)(111, 159, 128, 176)(113, 161, 121, 169)(114, 162, 130, 178)(116, 164, 131, 179)(117, 165, 132, 180)(119, 167, 136, 184)(123, 171, 140, 188)(124, 172, 138, 186)(125, 173, 141, 189)(127, 175, 143, 191)(129, 177, 144, 192)(133, 181, 139, 187)(134, 182, 142, 190)(135, 183, 137, 185)
	L = (1, 100)(2, 105)(3, 108)(4, 102)(5, 111)(6, 97)(7, 113)(8, 118)(9, 106)(10, 98)(11, 123)(12, 110)(13, 125)(14, 99)(15, 114)(16, 130)(17, 116)(18, 101)(19, 131)(20, 103)(21, 133)(22, 120)(23, 135)(24, 104)(25, 115)(26, 138)(27, 124)(28, 107)(29, 127)(30, 143)(31, 109)(32, 112)(33, 119)(34, 128)(35, 121)(36, 142)(37, 134)(38, 117)(39, 129)(40, 144)(41, 136)(42, 140)(43, 132)(44, 122)(45, 126)(46, 139)(47, 141)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.952
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.955 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x Q8) : C2 (small group id <48, 17>)
Aut   = (D8 x S3) : C2 (small group id <96, 121>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1 * Y3^-1 * Y1, (Y2 * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-1 * Y1^-1)^4, Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1^-1 * Y2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 4, 52, 8, 56, 13, 61, 20, 68, 27, 75, 30, 78, 16, 64, 15, 63, 6, 54, 5, 53)(3, 51, 9, 57, 10, 58, 22, 70, 23, 71, 38, 86, 39, 87, 42, 90, 26, 74, 25, 73, 12, 60, 11, 59)(7, 55, 17, 65, 14, 62, 28, 76, 29, 77, 44, 92, 45, 93, 48, 96, 34, 82, 33, 81, 19, 67, 18, 66)(21, 69, 35, 83, 24, 72, 40, 88, 41, 89, 43, 91, 47, 95, 31, 79, 46, 94, 32, 80, 37, 85, 36, 84)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 108, 156)(101, 149, 110, 158)(102, 150, 106, 154)(104, 152, 115, 163)(105, 153, 117, 165)(107, 155, 120, 168)(109, 157, 122, 170)(111, 159, 125, 173)(112, 160, 119, 167)(113, 161, 127, 175)(114, 162, 128, 176)(116, 164, 130, 178)(118, 166, 133, 181)(121, 169, 137, 185)(123, 171, 135, 183)(124, 172, 139, 187)(126, 174, 141, 189)(129, 177, 132, 180)(131, 179, 144, 192)(134, 182, 142, 190)(136, 184, 140, 188)(138, 186, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 109)(5, 98)(6, 97)(7, 110)(8, 116)(9, 118)(10, 119)(11, 105)(12, 99)(13, 123)(14, 125)(15, 101)(16, 102)(17, 124)(18, 113)(19, 103)(20, 126)(21, 120)(22, 134)(23, 135)(24, 137)(25, 107)(26, 108)(27, 112)(28, 140)(29, 141)(30, 111)(31, 128)(32, 132)(33, 114)(34, 115)(35, 136)(36, 131)(37, 117)(38, 138)(39, 122)(40, 139)(41, 143)(42, 121)(43, 127)(44, 144)(45, 130)(46, 133)(47, 142)(48, 129)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.953
Graph:: bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.956 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y1 * Y3)^3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 11, 59)(5, 53, 13, 61)(7, 55, 16, 64)(8, 56, 18, 66)(9, 57, 19, 67)(10, 58, 21, 69)(12, 60, 17, 65)(14, 62, 24, 72)(15, 63, 26, 74)(20, 68, 25, 73)(22, 70, 31, 79)(23, 71, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 105, 153)(101, 149, 106, 154)(103, 151, 110, 158)(104, 152, 111, 159)(107, 155, 115, 163)(108, 156, 116, 164)(109, 157, 117, 165)(112, 160, 120, 168)(113, 161, 121, 169)(114, 162, 122, 170)(118, 166, 125, 173)(119, 167, 126, 174)(123, 171, 129, 177)(124, 172, 130, 178)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 141, 189)(136, 184, 142, 190)(139, 187, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 105)(4, 108)(5, 97)(6, 110)(7, 113)(8, 98)(9, 116)(10, 99)(11, 118)(12, 101)(13, 119)(14, 121)(15, 102)(16, 123)(17, 104)(18, 124)(19, 125)(20, 106)(21, 126)(22, 109)(23, 107)(24, 129)(25, 111)(26, 130)(27, 114)(28, 112)(29, 117)(30, 115)(31, 135)(32, 136)(33, 122)(34, 120)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.973
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.957 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 208>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y3^-1, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3^-1 * Y2^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 24, 72)(12, 60, 19, 67)(13, 61, 22, 70)(14, 62, 23, 71)(15, 63, 20, 68)(16, 64, 21, 69)(25, 73, 33, 81)(26, 74, 36, 84)(27, 75, 34, 82)(28, 76, 35, 83)(29, 77, 37, 85)(30, 78, 40, 88)(31, 79, 38, 86)(32, 80, 39, 87)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 111, 159, 102, 150, 112, 160)(104, 152, 118, 166, 106, 154, 119, 167)(107, 155, 121, 169, 113, 161, 122, 170)(109, 157, 123, 171, 110, 158, 124, 172)(114, 162, 125, 173, 120, 168, 126, 174)(116, 164, 127, 175, 117, 165, 128, 176)(129, 177, 137, 185, 132, 180, 138, 186)(130, 178, 139, 187, 131, 179, 140, 188)(133, 181, 141, 189, 136, 184, 142, 190)(134, 182, 143, 191, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 116)(8, 115)(9, 117)(10, 98)(11, 119)(12, 102)(13, 101)(14, 99)(15, 114)(16, 120)(17, 118)(18, 112)(19, 106)(20, 105)(21, 103)(22, 107)(23, 113)(24, 111)(25, 130)(26, 131)(27, 129)(28, 132)(29, 134)(30, 135)(31, 133)(32, 136)(33, 124)(34, 122)(35, 121)(36, 123)(37, 128)(38, 126)(39, 125)(40, 127)(41, 144)(42, 143)(43, 141)(44, 142)(45, 140)(46, 139)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.965
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, Y2^4, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 20, 68)(13, 61, 19, 67)(14, 62, 24, 72)(15, 63, 23, 71)(16, 64, 22, 70)(17, 65, 21, 69)(25, 73, 33, 81)(26, 74, 32, 80)(27, 75, 35, 83)(28, 76, 34, 82)(29, 77, 36, 84)(30, 78, 38, 86)(31, 79, 37, 85)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 45, 93)(42, 90, 46, 94)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 111, 159)(102, 150, 109, 157, 122, 170, 112, 160)(104, 152, 115, 163, 128, 176, 118, 166)(106, 154, 116, 164, 129, 177, 119, 167)(110, 158, 123, 171, 135, 183, 126, 174)(113, 161, 124, 172, 136, 184, 127, 175)(117, 165, 130, 178, 139, 187, 133, 181)(120, 168, 131, 179, 140, 188, 134, 182)(125, 173, 137, 185, 143, 191, 138, 186)(132, 180, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 126)(16, 101)(17, 102)(18, 128)(19, 130)(20, 103)(21, 132)(22, 133)(23, 105)(24, 106)(25, 135)(26, 107)(27, 137)(28, 109)(29, 113)(30, 138)(31, 112)(32, 139)(33, 114)(34, 141)(35, 116)(36, 120)(37, 142)(38, 119)(39, 143)(40, 122)(41, 124)(42, 127)(43, 144)(44, 129)(45, 131)(46, 134)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.969
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2^4, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 6, 54)(4, 52, 7, 55)(5, 53, 8, 56)(9, 57, 14, 62)(10, 58, 15, 63)(11, 59, 16, 64)(12, 60, 17, 65)(13, 61, 18, 66)(19, 67, 24, 72)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 27, 75)(23, 71, 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, 105, 153, 101, 149)(98, 146, 102, 150, 110, 158, 104, 152)(100, 148, 107, 155, 115, 163, 108, 156)(103, 151, 112, 160, 120, 168, 113, 161)(106, 154, 116, 164, 109, 157, 117, 165)(111, 159, 121, 169, 114, 162, 122, 170)(118, 166, 127, 175, 119, 167, 128, 176)(123, 171, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 126, 174, 134, 182)(129, 177, 137, 185, 130, 178, 138, 186)(135, 183, 141, 189, 136, 184, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 111)(7, 98)(8, 114)(9, 115)(10, 99)(11, 118)(12, 119)(13, 101)(14, 120)(15, 102)(16, 123)(17, 124)(18, 104)(19, 105)(20, 125)(21, 126)(22, 107)(23, 108)(24, 110)(25, 129)(26, 130)(27, 112)(28, 113)(29, 116)(30, 117)(31, 135)(32, 136)(33, 121)(34, 122)(35, 139)(36, 140)(37, 141)(38, 142)(39, 127)(40, 128)(41, 143)(42, 144)(43, 131)(44, 132)(45, 133)(46, 134)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.968
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (Y2 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 8, 56)(4, 52, 7, 55)(5, 53, 6, 54)(9, 57, 14, 62)(10, 58, 18, 66)(11, 59, 17, 65)(12, 60, 16, 64)(13, 61, 15, 63)(19, 67, 24, 72)(20, 68, 25, 73)(21, 69, 26, 74)(22, 70, 28, 76)(23, 71, 27, 75)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 42, 90)(38, 86, 41, 89)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 105, 153, 101, 149)(98, 146, 102, 150, 110, 158, 104, 152)(100, 148, 107, 155, 115, 163, 108, 156)(103, 151, 112, 160, 120, 168, 113, 161)(106, 154, 116, 164, 109, 157, 117, 165)(111, 159, 121, 169, 114, 162, 122, 170)(118, 166, 127, 175, 119, 167, 128, 176)(123, 171, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 126, 174, 134, 182)(129, 177, 137, 185, 130, 178, 138, 186)(135, 183, 141, 189, 136, 184, 142, 190)(139, 187, 143, 191, 140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 97)(5, 109)(6, 111)(7, 98)(8, 114)(9, 115)(10, 99)(11, 118)(12, 119)(13, 101)(14, 120)(15, 102)(16, 123)(17, 124)(18, 104)(19, 105)(20, 125)(21, 126)(22, 107)(23, 108)(24, 110)(25, 129)(26, 130)(27, 112)(28, 113)(29, 116)(30, 117)(31, 135)(32, 136)(33, 121)(34, 122)(35, 139)(36, 140)(37, 141)(38, 142)(39, 127)(40, 128)(41, 143)(42, 144)(43, 131)(44, 132)(45, 133)(46, 134)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.970
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 16, 64)(8, 56, 21, 69)(10, 58, 17, 65)(11, 59, 19, 67)(12, 60, 18, 66)(13, 61, 22, 70)(15, 63, 20, 68)(23, 71, 33, 81)(24, 72, 35, 83)(25, 73, 30, 78)(26, 74, 34, 82)(27, 75, 36, 84)(28, 76, 37, 85)(29, 77, 39, 87)(31, 79, 38, 86)(32, 80, 40, 88)(41, 89, 45, 93)(42, 90, 46, 94)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 113, 161, 104, 152)(100, 148, 108, 156, 121, 169, 109, 157)(103, 151, 115, 163, 126, 174, 116, 164)(105, 153, 119, 167, 110, 158, 120, 168)(107, 155, 122, 170, 111, 159, 123, 171)(112, 160, 124, 172, 117, 165, 125, 173)(114, 162, 127, 175, 118, 166, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 114)(7, 98)(8, 118)(9, 115)(10, 121)(11, 99)(12, 112)(13, 117)(14, 116)(15, 101)(16, 108)(17, 126)(18, 102)(19, 105)(20, 110)(21, 109)(22, 104)(23, 130)(24, 132)(25, 106)(26, 129)(27, 131)(28, 134)(29, 136)(30, 113)(31, 133)(32, 135)(33, 122)(34, 119)(35, 123)(36, 120)(37, 127)(38, 124)(39, 128)(40, 125)(41, 143)(42, 144)(43, 141)(44, 142)(45, 139)(46, 140)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.966
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.962 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y1 * Y2 * Y1 * Y2^-1)^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 7, 55)(5, 53, 14, 62)(6, 54, 16, 64)(8, 56, 21, 69)(10, 58, 17, 65)(11, 59, 20, 68)(12, 60, 22, 70)(13, 61, 18, 66)(15, 63, 19, 67)(23, 71, 33, 81)(24, 72, 35, 83)(25, 73, 30, 78)(26, 74, 36, 84)(27, 75, 34, 82)(28, 76, 37, 85)(29, 77, 39, 87)(31, 79, 40, 88)(32, 80, 38, 86)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 101, 149)(98, 146, 102, 150, 113, 161, 104, 152)(100, 148, 108, 156, 121, 169, 109, 157)(103, 151, 115, 163, 126, 174, 116, 164)(105, 153, 119, 167, 110, 158, 120, 168)(107, 155, 122, 170, 111, 159, 123, 171)(112, 160, 124, 172, 117, 165, 125, 173)(114, 162, 127, 175, 118, 166, 128, 176)(129, 177, 137, 185, 131, 179, 138, 186)(130, 178, 139, 187, 132, 180, 140, 188)(133, 181, 141, 189, 135, 183, 142, 190)(134, 182, 143, 191, 136, 184, 144, 192)
	L = (1, 100)(2, 103)(3, 107)(4, 97)(5, 111)(6, 114)(7, 98)(8, 118)(9, 116)(10, 121)(11, 99)(12, 117)(13, 112)(14, 115)(15, 101)(16, 109)(17, 126)(18, 102)(19, 110)(20, 105)(21, 108)(22, 104)(23, 130)(24, 132)(25, 106)(26, 131)(27, 129)(28, 134)(29, 136)(30, 113)(31, 135)(32, 133)(33, 123)(34, 119)(35, 122)(36, 120)(37, 128)(38, 124)(39, 127)(40, 125)(41, 143)(42, 144)(43, 141)(44, 142)(45, 139)(46, 140)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.967
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.963 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = C2 x ((C4 x S3) : C2) (small group id <96, 213>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y3)^2, Y2^4, Y3^2 * Y2^-1 * Y3^4 * Y2^-1, (Y2 * Y3^-2 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 20, 68)(13, 61, 19, 67)(14, 62, 23, 71)(15, 63, 24, 72)(16, 64, 21, 69)(17, 65, 22, 70)(25, 73, 34, 82)(26, 74, 33, 81)(27, 75, 36, 84)(28, 76, 35, 83)(29, 77, 39, 87)(30, 78, 40, 88)(31, 79, 37, 85)(32, 80, 38, 86)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 48, 96)(44, 92, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 121, 169, 108, 156)(102, 150, 112, 160, 122, 170, 109, 157)(104, 152, 117, 165, 129, 177, 115, 163)(106, 154, 119, 167, 130, 178, 116, 164)(111, 159, 123, 171, 137, 185, 125, 173)(113, 161, 124, 172, 138, 186, 127, 175)(118, 166, 131, 179, 141, 189, 133, 181)(120, 168, 132, 180, 142, 190, 135, 183)(126, 174, 140, 188, 128, 176, 139, 187)(134, 182, 144, 192, 136, 184, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 110)(6, 97)(7, 115)(8, 118)(9, 117)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 126)(16, 101)(17, 102)(18, 129)(19, 131)(20, 103)(21, 133)(22, 134)(23, 105)(24, 106)(25, 137)(26, 107)(27, 139)(28, 109)(29, 140)(30, 138)(31, 112)(32, 113)(33, 141)(34, 114)(35, 143)(36, 116)(37, 144)(38, 142)(39, 119)(40, 120)(41, 128)(42, 122)(43, 127)(44, 124)(45, 136)(46, 130)(47, 135)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.971
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.964 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3 * Y2^2 * Y3, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 10, 58)(5, 53, 9, 57)(6, 54, 8, 56)(11, 59, 16, 64)(12, 60, 18, 66)(13, 61, 17, 65)(14, 62, 20, 68)(15, 63, 19, 67)(21, 69, 26, 74)(22, 70, 25, 73)(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, 44, 92)(40, 88, 43, 91)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 112, 160, 105, 153)(100, 148, 110, 158, 102, 150, 111, 159)(104, 152, 115, 163, 106, 154, 116, 164)(108, 156, 117, 165, 109, 157, 118, 166)(113, 161, 121, 169, 114, 162, 122, 170)(119, 167, 127, 175, 120, 168, 128, 176)(123, 171, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 126, 174, 134, 182)(129, 177, 137, 185, 130, 178, 138, 186)(135, 183, 142, 190, 136, 184, 141, 189)(139, 187, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 107)(5, 109)(6, 97)(7, 113)(8, 112)(9, 114)(10, 98)(11, 102)(12, 101)(13, 99)(14, 119)(15, 120)(16, 106)(17, 105)(18, 103)(19, 123)(20, 124)(21, 125)(22, 126)(23, 111)(24, 110)(25, 129)(26, 130)(27, 116)(28, 115)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.972
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.965 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = C2 x ((C12 x C2) : C2) (small group id <96, 208>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y3^4, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^6, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 33, 81, 30, 78, 15, 63, 24, 72, 39, 87, 31, 79, 16, 64, 5, 53)(3, 51, 8, 56, 19, 67, 34, 82, 45, 93, 42, 90, 26, 74, 40, 88, 48, 96, 43, 91, 27, 75, 12, 60)(4, 52, 14, 62, 29, 77, 36, 84, 21, 69, 10, 58, 6, 54, 17, 65, 32, 80, 35, 83, 20, 68, 9, 57)(11, 59, 25, 73, 41, 89, 47, 95, 38, 86, 23, 71, 13, 61, 28, 76, 44, 92, 46, 94, 37, 85, 22, 70)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 108, 156)(102, 150, 107, 155)(103, 151, 115, 163)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 124, 172)(111, 159, 122, 170)(112, 160, 123, 171)(113, 161, 121, 169)(114, 162, 130, 178)(116, 164, 134, 182)(117, 165, 133, 181)(120, 168, 136, 184)(125, 173, 140, 188)(126, 174, 138, 186)(127, 175, 139, 187)(128, 176, 137, 185)(129, 177, 141, 189)(131, 179, 143, 191)(132, 180, 142, 190)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 107)(4, 111)(5, 110)(6, 97)(7, 116)(8, 118)(9, 120)(10, 98)(11, 122)(12, 121)(13, 99)(14, 126)(15, 102)(16, 125)(17, 101)(18, 131)(19, 133)(20, 135)(21, 103)(22, 136)(23, 104)(24, 106)(25, 138)(26, 109)(27, 137)(28, 108)(29, 129)(30, 113)(31, 132)(32, 112)(33, 128)(34, 142)(35, 127)(36, 114)(37, 144)(38, 115)(39, 117)(40, 119)(41, 141)(42, 124)(43, 143)(44, 123)(45, 140)(46, 139)(47, 130)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.957
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y1^2 * Y3)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 26, 74, 37, 85, 27, 75, 38, 86, 29, 77, 14, 62, 5, 53)(3, 51, 7, 55, 16, 64, 31, 79, 44, 92, 40, 88, 47, 95, 41, 89, 48, 96, 43, 91, 24, 72, 10, 58)(4, 52, 11, 59, 25, 73, 32, 80, 20, 68, 8, 56, 19, 67, 13, 61, 28, 76, 34, 82, 17, 65, 12, 60)(9, 57, 21, 69, 39, 87, 45, 93, 36, 84, 18, 66, 35, 83, 23, 71, 42, 90, 46, 94, 33, 81, 22, 70)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 105, 153)(101, 149, 106, 154)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 117, 165)(108, 156, 118, 166)(109, 157, 119, 167)(110, 158, 120, 168)(111, 159, 127, 175)(113, 161, 129, 177)(115, 163, 131, 179)(116, 164, 132, 180)(121, 169, 135, 183)(122, 170, 136, 184)(123, 171, 137, 185)(124, 172, 138, 186)(125, 173, 139, 187)(126, 174, 140, 188)(128, 176, 141, 189)(130, 178, 142, 190)(133, 181, 143, 191)(134, 182, 144, 192)
	L = (1, 100)(2, 104)(3, 105)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 99)(10, 119)(11, 122)(12, 123)(13, 101)(14, 121)(15, 128)(16, 129)(17, 102)(18, 103)(19, 133)(20, 134)(21, 136)(22, 137)(23, 106)(24, 135)(25, 110)(26, 107)(27, 108)(28, 126)(29, 130)(30, 124)(31, 141)(32, 111)(33, 112)(34, 125)(35, 143)(36, 144)(37, 115)(38, 116)(39, 120)(40, 117)(41, 118)(42, 140)(43, 142)(44, 138)(45, 127)(46, 139)(47, 131)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.961
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2 * Y1^-1)^2, Y1^2 * Y2 * Y1^-2 * Y2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1 * Y3 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 28, 76, 43, 91, 25, 73, 41, 89, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 18, 66, 38, 86, 32, 80, 14, 62, 22, 70, 7, 55, 20, 68, 36, 84, 30, 78, 11, 59)(4, 52, 12, 60, 31, 79, 37, 85, 24, 72, 8, 56, 23, 71, 15, 63, 33, 81, 40, 88, 19, 67, 13, 61)(10, 58, 27, 75, 45, 93, 48, 96, 42, 90, 26, 74, 44, 92, 29, 77, 46, 94, 47, 95, 39, 87, 21, 69)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 121, 169)(107, 155, 124, 172)(108, 156, 125, 173)(109, 157, 122, 170)(111, 159, 123, 171)(112, 160, 126, 174)(113, 161, 132, 180)(115, 163, 135, 183)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 140, 188)(120, 168, 138, 186)(127, 175, 141, 189)(128, 176, 131, 179)(129, 177, 142, 190)(130, 178, 134, 182)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 122)(10, 99)(11, 125)(12, 124)(13, 121)(14, 123)(15, 101)(16, 127)(17, 133)(18, 135)(19, 102)(20, 138)(21, 103)(22, 140)(23, 139)(24, 137)(25, 109)(26, 105)(27, 110)(28, 108)(29, 107)(30, 141)(31, 112)(32, 142)(33, 131)(34, 136)(35, 129)(36, 143)(37, 113)(38, 144)(39, 114)(40, 130)(41, 120)(42, 116)(43, 119)(44, 118)(45, 126)(46, 128)(47, 132)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.962
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, (Y3 * Y1^-2)^2, (Y1^2 * Y2)^2, Y3 * Y1^-3 * Y3 * Y1^3, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 17, 65, 35, 83, 26, 74, 41, 89, 29, 77, 43, 91, 34, 82, 16, 64, 5, 53)(3, 51, 9, 57, 25, 73, 36, 84, 22, 70, 7, 55, 20, 68, 14, 62, 32, 80, 39, 87, 18, 66, 11, 59)(4, 52, 12, 60, 31, 79, 37, 85, 24, 72, 8, 56, 23, 71, 15, 63, 33, 81, 40, 88, 19, 67, 13, 61)(10, 58, 21, 69, 38, 86, 47, 95, 46, 94, 27, 75, 42, 90, 30, 78, 44, 92, 48, 96, 45, 93, 28, 76)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 110, 158)(102, 150, 114, 162)(104, 152, 117, 165)(105, 153, 122, 170)(107, 155, 125, 173)(108, 156, 123, 171)(109, 157, 126, 174)(111, 159, 124, 172)(112, 160, 121, 169)(113, 161, 132, 180)(115, 163, 134, 182)(116, 164, 137, 185)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(127, 175, 141, 189)(128, 176, 131, 179)(129, 177, 142, 190)(130, 178, 135, 183)(133, 181, 143, 191)(136, 184, 144, 192)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 111)(6, 115)(7, 117)(8, 98)(9, 123)(10, 99)(11, 126)(12, 122)(13, 125)(14, 124)(15, 101)(16, 127)(17, 133)(18, 134)(19, 102)(20, 138)(21, 103)(22, 140)(23, 137)(24, 139)(25, 141)(26, 108)(27, 105)(28, 110)(29, 109)(30, 107)(31, 112)(32, 142)(33, 131)(34, 136)(35, 129)(36, 143)(37, 113)(38, 114)(39, 144)(40, 130)(41, 119)(42, 116)(43, 120)(44, 118)(45, 121)(46, 128)(47, 132)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.959
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y3, Y1^-1), (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3^2 * Y1^-4, (Y2 * Y1^-2)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 15, 63, 29, 77, 45, 93, 34, 82, 20, 68, 30, 78, 18, 66, 5, 53)(3, 51, 11, 59, 31, 79, 40, 88, 27, 75, 8, 56, 25, 73, 17, 65, 36, 84, 43, 91, 22, 70, 13, 61)(4, 52, 9, 57, 23, 71, 41, 89, 37, 85, 48, 96, 39, 87, 19, 67, 6, 54, 10, 58, 24, 72, 16, 64)(12, 60, 28, 76, 46, 94, 38, 86, 47, 95, 26, 74, 44, 92, 35, 83, 14, 62, 32, 80, 42, 90, 33, 81)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 124, 172)(106, 154, 122, 170)(107, 155, 125, 173)(109, 157, 130, 178)(111, 159, 132, 180)(112, 160, 134, 182)(114, 162, 127, 175)(115, 163, 131, 179)(116, 164, 123, 171)(117, 165, 136, 184)(119, 167, 140, 188)(120, 168, 138, 186)(121, 169, 141, 189)(126, 174, 139, 187)(128, 176, 144, 192)(129, 177, 137, 185)(133, 181, 143, 191)(135, 183, 142, 190)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 112)(6, 97)(7, 119)(8, 122)(9, 125)(10, 98)(11, 124)(12, 123)(13, 129)(14, 99)(15, 133)(16, 117)(17, 131)(18, 120)(19, 101)(20, 102)(21, 137)(22, 138)(23, 141)(24, 103)(25, 140)(26, 139)(27, 143)(28, 104)(29, 144)(30, 106)(31, 142)(32, 107)(33, 136)(34, 115)(35, 109)(36, 110)(37, 116)(38, 113)(39, 114)(40, 134)(41, 130)(42, 127)(43, 128)(44, 118)(45, 135)(46, 121)(47, 132)(48, 126)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E17.958
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.970 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y1^2 * Y3)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1^-3, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 6, 54, 15, 63, 30, 78, 26, 74, 37, 85, 27, 75, 38, 86, 29, 77, 14, 62, 5, 53)(3, 51, 9, 57, 21, 69, 39, 87, 47, 95, 42, 90, 48, 96, 43, 91, 44, 92, 31, 79, 16, 64, 7, 55)(4, 52, 11, 59, 25, 73, 32, 80, 20, 68, 8, 56, 19, 67, 13, 61, 28, 76, 34, 82, 17, 65, 12, 60)(10, 58, 23, 71, 33, 81, 46, 94, 41, 89, 22, 70, 36, 84, 18, 66, 35, 83, 45, 93, 40, 88, 24, 72)(97, 145, 99, 147)(98, 146, 103, 151)(100, 148, 106, 154)(101, 149, 105, 153)(102, 150, 112, 160)(104, 152, 114, 162)(107, 155, 120, 168)(108, 156, 119, 167)(109, 157, 118, 166)(110, 158, 117, 165)(111, 159, 127, 175)(113, 161, 129, 177)(115, 163, 132, 180)(116, 164, 131, 179)(121, 169, 136, 184)(122, 170, 139, 187)(123, 171, 138, 186)(124, 172, 137, 185)(125, 173, 135, 183)(126, 174, 140, 188)(128, 176, 141, 189)(130, 178, 142, 190)(133, 181, 144, 192)(134, 182, 143, 191)
	L = (1, 100)(2, 104)(3, 106)(4, 97)(5, 109)(6, 113)(7, 114)(8, 98)(9, 118)(10, 99)(11, 122)(12, 123)(13, 101)(14, 121)(15, 128)(16, 129)(17, 102)(18, 103)(19, 133)(20, 134)(21, 136)(22, 105)(23, 138)(24, 139)(25, 110)(26, 107)(27, 108)(28, 126)(29, 130)(30, 124)(31, 141)(32, 111)(33, 112)(34, 125)(35, 143)(36, 144)(37, 115)(38, 116)(39, 142)(40, 117)(41, 140)(42, 119)(43, 120)(44, 137)(45, 127)(46, 135)(47, 131)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.960
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.971 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = C2 x ((C4 x S3) : C2) (small group id <96, 213>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y3^-1 * Y2 * Y1^-1)^2, (Y3^-1 * Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y1^-1 * Y3^3, Y1^-1 * Y3^-1 * Y1^5 * Y3^-1, Y3^2 * Y2 * Y1 * Y2 * Y1^-3, Y3^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 21, 69, 40, 88, 32, 80, 44, 92, 35, 83, 47, 95, 38, 86, 16, 64, 5, 53)(3, 51, 11, 59, 31, 79, 41, 89, 26, 74, 8, 56, 24, 72, 18, 66, 39, 87, 43, 91, 22, 70, 13, 61)(4, 52, 15, 63, 6, 54, 20, 68, 23, 71, 19, 67, 29, 77, 9, 57, 28, 76, 10, 58, 30, 78, 17, 65)(12, 60, 27, 75, 14, 62, 37, 85, 48, 96, 36, 84, 45, 93, 33, 81, 46, 94, 34, 82, 42, 90, 25, 73)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 114, 162)(102, 150, 108, 156)(103, 151, 118, 166)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 128, 176)(109, 157, 131, 179)(111, 159, 129, 177)(112, 160, 127, 175)(113, 161, 130, 178)(115, 163, 133, 181)(116, 164, 132, 180)(117, 165, 137, 185)(119, 167, 138, 186)(120, 168, 140, 188)(122, 170, 143, 191)(124, 172, 141, 189)(125, 173, 142, 190)(126, 174, 144, 192)(134, 182, 139, 187)(135, 183, 136, 184)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 115)(6, 97)(7, 102)(8, 121)(9, 101)(10, 98)(11, 129)(12, 118)(13, 132)(14, 99)(15, 128)(16, 126)(17, 117)(18, 123)(19, 134)(20, 131)(21, 106)(22, 138)(23, 103)(24, 141)(25, 137)(26, 144)(27, 104)(28, 140)(29, 136)(30, 143)(31, 110)(32, 113)(33, 109)(34, 107)(35, 111)(36, 139)(37, 114)(38, 116)(39, 142)(40, 119)(41, 130)(42, 135)(43, 133)(44, 125)(45, 122)(46, 120)(47, 124)(48, 127)(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, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.963
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.972 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = ((C4 x C2) : C2) x S3 (small group id <96, 215>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y3^4, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y2 * Y1 * R * Y2 * R * Y1, Y1^-2 * Y2 * Y1 * Y2 * Y1^-3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 37, 85, 30, 78, 16, 64, 28, 76, 44, 92, 35, 83, 18, 66, 5, 53)(3, 51, 11, 59, 29, 77, 38, 86, 26, 74, 8, 56, 24, 72, 17, 65, 34, 82, 42, 90, 21, 69, 13, 61)(4, 52, 15, 63, 33, 81, 40, 88, 23, 71, 10, 58, 6, 54, 19, 67, 36, 84, 39, 87, 22, 70, 9, 57)(12, 60, 27, 75, 41, 89, 48, 96, 46, 94, 32, 80, 14, 62, 25, 73, 43, 91, 47, 95, 45, 93, 31, 79)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 126, 174)(109, 157, 124, 172)(111, 159, 127, 175)(112, 160, 120, 168)(114, 162, 125, 173)(115, 163, 128, 176)(116, 164, 134, 182)(118, 166, 139, 187)(119, 167, 137, 185)(122, 170, 140, 188)(129, 177, 142, 190)(130, 178, 133, 181)(131, 179, 138, 186)(132, 180, 141, 189)(135, 183, 144, 192)(136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 111)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 127)(12, 120)(13, 123)(14, 99)(15, 126)(16, 102)(17, 128)(18, 129)(19, 101)(20, 135)(21, 137)(22, 140)(23, 103)(24, 110)(25, 109)(26, 139)(27, 104)(28, 106)(29, 141)(30, 115)(31, 113)(32, 107)(33, 133)(34, 142)(35, 136)(36, 114)(37, 132)(38, 143)(39, 131)(40, 116)(41, 122)(42, 144)(43, 117)(44, 119)(45, 130)(46, 125)(47, 138)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.964
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.973 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x S3 (small group id <48, 35>)
Aut   = C2 x D8 x S3 (small group id <96, 209>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (Y3, Y1), Y1^4, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y2 * Y1^-1)^2, (Y2^-1 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1, Y2^5 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 13, 61, 21, 69, 11, 59)(4, 52, 10, 58, 7, 55, 12, 60)(6, 54, 18, 66, 22, 70, 9, 57)(14, 62, 28, 76, 37, 85, 29, 77)(15, 63, 26, 74, 16, 64, 27, 75)(17, 65, 24, 72, 19, 67, 25, 73)(20, 68, 23, 71, 38, 86, 34, 82)(30, 78, 39, 87, 36, 84, 44, 92)(31, 79, 42, 90, 32, 80, 43, 91)(33, 81, 40, 88, 35, 83, 41, 89)(45, 93, 47, 95, 46, 94, 48, 96)(97, 145, 99, 147, 110, 158, 126, 174, 134, 182, 118, 166, 104, 152, 117, 165, 133, 181, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 125, 173, 109, 157, 101, 149, 114, 162, 130, 178, 140, 188, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 128, 176, 111, 159, 103, 151, 115, 163, 131, 179, 142, 190, 127, 175, 112, 160)(106, 154, 122, 170, 138, 186, 143, 191, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 144, 192, 136, 184, 121, 169)
	L = (1, 100)(2, 106)(3, 111)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 122)(14, 127)(15, 117)(16, 99)(17, 102)(18, 121)(19, 118)(20, 129)(21, 112)(22, 113)(23, 136)(24, 114)(25, 105)(26, 107)(27, 109)(28, 138)(29, 139)(30, 141)(31, 133)(32, 110)(33, 134)(34, 137)(35, 116)(36, 142)(37, 128)(38, 131)(39, 143)(40, 130)(41, 119)(42, 125)(43, 124)(44, 144)(45, 132)(46, 126)(47, 140)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.956
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.974 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y2)^4, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 5, 53)(4, 52, 8, 56)(6, 54, 11, 59)(7, 55, 13, 61)(9, 57, 15, 63)(10, 58, 18, 66)(12, 60, 20, 68)(14, 62, 23, 71)(16, 64, 27, 75)(17, 65, 22, 70)(19, 67, 28, 76)(21, 69, 32, 80)(24, 72, 34, 82)(25, 73, 30, 78)(26, 74, 35, 83)(29, 77, 38, 86)(31, 79, 39, 87)(33, 81, 41, 89)(36, 84, 44, 92)(37, 85, 45, 93)(40, 88, 48, 96)(42, 90, 47, 95)(43, 91, 46, 94)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 105, 153)(102, 150, 108, 156)(103, 151, 110, 158)(104, 152, 111, 159)(106, 154, 115, 163)(107, 155, 116, 164)(109, 157, 119, 167)(112, 160, 120, 168)(113, 161, 121, 169)(114, 162, 124, 172)(117, 165, 125, 173)(118, 166, 126, 174)(122, 170, 129, 177)(123, 171, 130, 178)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 139, 187)(135, 183, 141, 189)(136, 184, 143, 191)(138, 186, 144, 192)(140, 188, 142, 190)
	L = (1, 100)(2, 102)(3, 103)(4, 97)(5, 106)(6, 98)(7, 99)(8, 112)(9, 113)(10, 101)(11, 117)(12, 118)(13, 120)(14, 121)(15, 122)(16, 104)(17, 105)(18, 125)(19, 126)(20, 127)(21, 107)(22, 108)(23, 129)(24, 109)(25, 110)(26, 111)(27, 132)(28, 133)(29, 114)(30, 115)(31, 116)(32, 136)(33, 119)(34, 138)(35, 139)(36, 123)(37, 124)(38, 142)(39, 143)(40, 128)(41, 144)(42, 130)(43, 131)(44, 141)(45, 140)(46, 134)(47, 135)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.985
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.975 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2, (Y1 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 16, 64)(10, 58, 19, 67)(12, 60, 21, 69)(14, 62, 24, 72)(15, 63, 20, 68)(17, 65, 26, 74)(18, 66, 27, 75)(22, 70, 30, 78)(23, 71, 31, 79)(25, 73, 33, 81)(28, 76, 36, 84)(29, 77, 37, 85)(32, 80, 40, 88)(34, 82, 42, 90)(35, 83, 43, 91)(38, 86, 46, 94)(39, 87, 47, 95)(41, 89, 45, 93)(44, 92, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 106, 154)(102, 150, 110, 158)(103, 151, 111, 159)(104, 152, 113, 161)(105, 153, 112, 160)(107, 155, 116, 164)(108, 156, 118, 166)(109, 157, 117, 165)(114, 162, 124, 172)(115, 163, 122, 170)(119, 167, 128, 176)(120, 168, 126, 174)(121, 169, 130, 178)(123, 171, 129, 177)(125, 173, 134, 182)(127, 175, 133, 181)(131, 179, 140, 188)(132, 180, 138, 186)(135, 183, 144, 192)(136, 184, 142, 190)(137, 185, 143, 191)(139, 187, 141, 189)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 108)(6, 98)(7, 110)(8, 99)(9, 114)(10, 107)(11, 106)(12, 101)(13, 119)(14, 103)(15, 118)(16, 121)(17, 116)(18, 105)(19, 124)(20, 113)(21, 125)(22, 111)(23, 109)(24, 128)(25, 112)(26, 130)(27, 131)(28, 115)(29, 117)(30, 134)(31, 135)(32, 120)(33, 137)(34, 122)(35, 123)(36, 140)(37, 141)(38, 126)(39, 127)(40, 144)(41, 129)(42, 143)(43, 142)(44, 132)(45, 133)(46, 139)(47, 138)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.983
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.976 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * R * Y3 * Y1 * Y3 * R * Y2 * Y1, (Y3 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 7, 55)(4, 52, 9, 57)(5, 53, 11, 59)(6, 54, 13, 61)(8, 56, 12, 60)(10, 58, 14, 62)(15, 63, 25, 73)(16, 64, 26, 74)(17, 65, 27, 75)(18, 66, 29, 77)(19, 67, 30, 78)(20, 68, 31, 79)(21, 69, 32, 80)(22, 70, 33, 81)(23, 71, 35, 83)(24, 72, 36, 84)(28, 76, 34, 82)(37, 85, 46, 94)(38, 86, 44, 92)(39, 87, 43, 91)(40, 88, 47, 95)(41, 89, 42, 90)(45, 93, 48, 96)(97, 145, 99, 147)(98, 146, 101, 149)(100, 148, 106, 154)(102, 150, 110, 158)(103, 151, 111, 159)(104, 152, 113, 161)(105, 153, 114, 162)(107, 155, 116, 164)(108, 156, 118, 166)(109, 157, 119, 167)(112, 160, 123, 171)(115, 163, 124, 172)(117, 165, 129, 177)(120, 168, 130, 178)(121, 169, 133, 181)(122, 170, 135, 183)(125, 173, 134, 182)(126, 174, 136, 184)(127, 175, 138, 186)(128, 176, 140, 188)(131, 179, 139, 187)(132, 180, 141, 189)(137, 185, 143, 191)(142, 190, 144, 192)
	L = (1, 100)(2, 102)(3, 104)(4, 97)(5, 108)(6, 98)(7, 112)(8, 99)(9, 111)(10, 115)(11, 117)(12, 101)(13, 116)(14, 120)(15, 105)(16, 103)(17, 124)(18, 126)(19, 106)(20, 109)(21, 107)(22, 130)(23, 132)(24, 110)(25, 134)(26, 133)(27, 136)(28, 113)(29, 137)(30, 114)(31, 139)(32, 138)(33, 141)(34, 118)(35, 142)(36, 119)(37, 122)(38, 121)(39, 143)(40, 123)(41, 125)(42, 128)(43, 127)(44, 144)(45, 129)(46, 131)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.984
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.977 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y2)^2, (Y2, Y3^-1), (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^4, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 23, 71)(13, 61, 22, 70)(14, 62, 24, 72)(15, 63, 20, 68)(16, 64, 19, 67)(17, 65, 21, 69)(25, 73, 33, 81)(26, 74, 32, 80)(27, 75, 38, 86)(28, 76, 37, 85)(29, 77, 36, 84)(30, 78, 35, 83)(31, 79, 34, 82)(39, 87, 44, 92)(40, 88, 43, 91)(41, 89, 46, 94)(42, 90, 45, 93)(47, 95, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 108, 156, 121, 169, 111, 159)(102, 150, 109, 157, 122, 170, 112, 160)(104, 152, 115, 163, 128, 176, 118, 166)(106, 154, 116, 164, 129, 177, 119, 167)(110, 158, 123, 171, 135, 183, 126, 174)(113, 161, 124, 172, 136, 184, 127, 175)(117, 165, 130, 178, 139, 187, 133, 181)(120, 168, 131, 179, 140, 188, 134, 182)(125, 173, 137, 185, 143, 191, 138, 186)(132, 180, 141, 189, 144, 192, 142, 190)
	L = (1, 100)(2, 104)(3, 108)(4, 110)(5, 111)(6, 97)(7, 115)(8, 117)(9, 118)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 126)(16, 101)(17, 102)(18, 128)(19, 130)(20, 103)(21, 132)(22, 133)(23, 105)(24, 106)(25, 135)(26, 107)(27, 137)(28, 109)(29, 113)(30, 138)(31, 112)(32, 139)(33, 114)(34, 141)(35, 116)(36, 120)(37, 142)(38, 119)(39, 143)(40, 122)(41, 124)(42, 127)(43, 144)(44, 129)(45, 131)(46, 134)(47, 136)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.980
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.978 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3 * Y2^-1 * Y3^-1, R * Y2 * R * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1)^2, (R * Y3)^2, Y2^4, Y3^2 * Y2^-1 * Y3^4 * Y2^-1, (Y2 * Y3^-2 * Y2)^3 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 18, 66)(12, 60, 23, 71)(13, 61, 21, 69)(14, 62, 20, 68)(15, 63, 24, 72)(16, 64, 19, 67)(17, 65, 22, 70)(25, 73, 34, 82)(26, 74, 33, 81)(27, 75, 39, 87)(28, 76, 37, 85)(29, 77, 36, 84)(30, 78, 40, 88)(31, 79, 35, 83)(32, 80, 38, 86)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 114, 162, 105, 153)(100, 148, 110, 158, 121, 169, 108, 156)(102, 150, 112, 160, 122, 170, 109, 157)(104, 152, 117, 165, 129, 177, 115, 163)(106, 154, 119, 167, 130, 178, 116, 164)(111, 159, 123, 171, 137, 185, 125, 173)(113, 161, 124, 172, 138, 186, 127, 175)(118, 166, 131, 179, 141, 189, 133, 181)(120, 168, 132, 180, 142, 190, 135, 183)(126, 174, 140, 188, 128, 176, 139, 187)(134, 182, 144, 192, 136, 184, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 111)(5, 110)(6, 97)(7, 115)(8, 118)(9, 117)(10, 98)(11, 121)(12, 123)(13, 99)(14, 125)(15, 126)(16, 101)(17, 102)(18, 129)(19, 131)(20, 103)(21, 133)(22, 134)(23, 105)(24, 106)(25, 137)(26, 107)(27, 139)(28, 109)(29, 140)(30, 138)(31, 112)(32, 113)(33, 141)(34, 114)(35, 143)(36, 116)(37, 144)(38, 142)(39, 119)(40, 120)(41, 128)(42, 122)(43, 127)(44, 124)(45, 136)(46, 130)(47, 135)(48, 132)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.982
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.979 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^2 * Y3^-2, Y3^4, Y3 * Y2^2 * Y3, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 10, 58)(5, 53, 7, 55)(6, 54, 8, 56)(11, 59, 16, 64)(12, 60, 17, 65)(13, 61, 18, 66)(14, 62, 19, 67)(15, 63, 20, 68)(21, 69, 26, 74)(22, 70, 25, 73)(23, 71, 28, 76)(24, 72, 27, 75)(29, 77, 33, 81)(30, 78, 34, 82)(31, 79, 35, 83)(32, 80, 36, 84)(37, 85, 42, 90)(38, 86, 41, 89)(39, 87, 44, 92)(40, 88, 43, 91)(45, 93, 47, 95)(46, 94, 48, 96)(97, 145, 99, 147, 107, 155, 101, 149)(98, 146, 103, 151, 112, 160, 105, 153)(100, 148, 110, 158, 102, 150, 111, 159)(104, 152, 115, 163, 106, 154, 116, 164)(108, 156, 117, 165, 109, 157, 118, 166)(113, 161, 121, 169, 114, 162, 122, 170)(119, 167, 127, 175, 120, 168, 128, 176)(123, 171, 131, 179, 124, 172, 132, 180)(125, 173, 133, 181, 126, 174, 134, 182)(129, 177, 137, 185, 130, 178, 138, 186)(135, 183, 142, 190, 136, 184, 141, 189)(139, 187, 144, 192, 140, 188, 143, 191)
	L = (1, 100)(2, 104)(3, 108)(4, 107)(5, 109)(6, 97)(7, 113)(8, 112)(9, 114)(10, 98)(11, 102)(12, 101)(13, 99)(14, 119)(15, 120)(16, 106)(17, 105)(18, 103)(19, 123)(20, 124)(21, 125)(22, 126)(23, 111)(24, 110)(25, 129)(26, 130)(27, 116)(28, 115)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.981
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = C2 x D24 (small group id <48, 36>)
Aut   = C2 x C2 x D24 (small group id <96, 207>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1, Y3^-1), (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^4 * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^6 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 14, 62, 25, 73, 39, 87, 34, 82, 18, 66, 26, 74, 16, 64, 5, 53)(3, 51, 11, 59, 27, 75, 40, 88, 30, 78, 44, 92, 47, 95, 41, 89, 31, 79, 35, 83, 20, 68, 8, 56)(4, 52, 9, 57, 21, 69, 36, 84, 32, 80, 42, 90, 33, 81, 17, 65, 6, 54, 10, 58, 22, 70, 15, 63)(12, 60, 28, 76, 43, 91, 48, 96, 45, 93, 46, 94, 38, 86, 24, 72, 13, 61, 29, 77, 37, 85, 23, 71)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 120, 168)(106, 154, 119, 167)(110, 158, 127, 175)(111, 159, 125, 173)(112, 160, 123, 171)(113, 161, 124, 172)(114, 162, 126, 174)(115, 163, 131, 179)(117, 165, 134, 182)(118, 166, 133, 181)(121, 169, 137, 185)(122, 170, 136, 184)(128, 176, 141, 189)(129, 177, 139, 187)(130, 178, 140, 188)(132, 180, 142, 190)(135, 183, 143, 191)(138, 186, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 110)(5, 111)(6, 97)(7, 117)(8, 119)(9, 121)(10, 98)(11, 124)(12, 126)(13, 99)(14, 128)(15, 115)(16, 118)(17, 101)(18, 102)(19, 132)(20, 133)(21, 135)(22, 103)(23, 136)(24, 104)(25, 138)(26, 106)(27, 139)(28, 140)(29, 107)(30, 141)(31, 109)(32, 114)(33, 112)(34, 113)(35, 125)(36, 130)(37, 123)(38, 116)(39, 129)(40, 144)(41, 120)(42, 122)(43, 143)(44, 142)(45, 127)(46, 131)(47, 134)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.977
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^-1 * Y1^-1, (R * Y1)^2, Y3^4, (Y1^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-3, Y3^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 18, 66, 33, 81, 30, 78, 15, 63, 24, 72, 39, 87, 31, 79, 16, 64, 5, 53)(3, 51, 11, 59, 25, 73, 41, 89, 48, 96, 40, 88, 28, 76, 44, 92, 45, 93, 34, 82, 19, 67, 8, 56)(4, 52, 14, 62, 29, 77, 36, 84, 21, 69, 10, 58, 6, 54, 17, 65, 32, 80, 35, 83, 20, 68, 9, 57)(12, 60, 22, 70, 37, 85, 46, 94, 43, 91, 27, 75, 13, 61, 23, 71, 38, 86, 47, 95, 42, 90, 26, 74)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 115, 163)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 123, 171)(111, 159, 124, 172)(112, 160, 121, 169)(113, 161, 122, 170)(114, 162, 130, 178)(116, 164, 134, 182)(117, 165, 133, 181)(120, 168, 136, 184)(125, 173, 139, 187)(126, 174, 140, 188)(127, 175, 137, 185)(128, 176, 138, 186)(129, 177, 141, 189)(131, 179, 143, 191)(132, 180, 142, 190)(135, 183, 144, 192)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 110)(6, 97)(7, 116)(8, 118)(9, 120)(10, 98)(11, 122)(12, 124)(13, 99)(14, 126)(15, 102)(16, 125)(17, 101)(18, 131)(19, 133)(20, 135)(21, 103)(22, 136)(23, 104)(24, 106)(25, 138)(26, 140)(27, 107)(28, 109)(29, 129)(30, 113)(31, 132)(32, 112)(33, 128)(34, 142)(35, 127)(36, 114)(37, 144)(38, 115)(39, 117)(40, 119)(41, 143)(42, 141)(43, 121)(44, 123)(45, 139)(46, 137)(47, 130)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.979
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.982 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y2 * Y1^-1)^2, Y3^-1 * Y1^-2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y1^-1 * Y3^3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^5 * Y3^-1, (Y3 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 19, 67, 35, 83, 32, 80, 41, 89, 33, 81, 42, 90, 34, 82, 15, 63, 5, 53)(3, 51, 11, 59, 27, 75, 43, 91, 47, 95, 44, 92, 48, 96, 45, 93, 46, 94, 36, 84, 20, 68, 8, 56)(4, 52, 14, 62, 6, 54, 18, 66, 21, 69, 17, 65, 25, 73, 9, 57, 24, 72, 10, 58, 26, 74, 16, 64)(12, 60, 29, 77, 13, 61, 31, 79, 39, 87, 22, 70, 38, 86, 23, 71, 40, 88, 28, 76, 37, 85, 30, 78)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 109, 157)(101, 149, 107, 155)(102, 150, 108, 156)(103, 151, 116, 164)(105, 153, 119, 167)(106, 154, 118, 166)(110, 158, 125, 173)(111, 159, 123, 171)(112, 160, 127, 175)(113, 161, 124, 172)(114, 162, 126, 174)(115, 163, 132, 180)(117, 165, 133, 181)(120, 168, 134, 182)(121, 169, 136, 184)(122, 170, 135, 183)(128, 176, 141, 189)(129, 177, 140, 188)(130, 178, 139, 187)(131, 179, 142, 190)(137, 185, 144, 192)(138, 186, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 111)(5, 113)(6, 97)(7, 102)(8, 118)(9, 101)(10, 98)(11, 119)(12, 116)(13, 99)(14, 128)(15, 122)(16, 115)(17, 130)(18, 129)(19, 106)(20, 133)(21, 103)(22, 132)(23, 104)(24, 137)(25, 131)(26, 138)(27, 109)(28, 107)(29, 140)(30, 139)(31, 141)(32, 112)(33, 110)(34, 114)(35, 117)(36, 127)(37, 142)(38, 143)(39, 123)(40, 144)(41, 121)(42, 120)(43, 124)(44, 126)(45, 125)(46, 136)(47, 135)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.978
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.983 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C12 x C2) : C2 (small group id <48, 37>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, Y1^4, (Y2^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-1, (Y3 * Y1^-1)^2, Y2^5 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 10, 58, 18, 66, 13, 61)(4, 52, 14, 62, 19, 67, 9, 57)(6, 54, 8, 56, 20, 68, 16, 64)(11, 59, 24, 72, 33, 81, 27, 75)(12, 60, 28, 76, 34, 82, 23, 71)(15, 63, 29, 77, 35, 83, 22, 70)(17, 65, 21, 69, 36, 84, 31, 79)(25, 73, 40, 88, 32, 80, 37, 85)(26, 74, 42, 90, 45, 93, 39, 87)(30, 78, 43, 91, 46, 94, 38, 86)(41, 89, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 107, 155, 121, 169, 132, 180, 116, 164, 103, 151, 114, 162, 129, 177, 128, 176, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 133, 181, 123, 171, 109, 157, 101, 149, 112, 160, 127, 175, 136, 184, 120, 168, 106, 154)(100, 148, 111, 159, 126, 174, 140, 188, 141, 189, 130, 178, 115, 163, 131, 179, 142, 190, 137, 185, 122, 170, 108, 156)(105, 153, 119, 167, 135, 183, 144, 192, 139, 187, 125, 173, 110, 158, 124, 172, 138, 186, 143, 191, 134, 182, 118, 166)
	L = (1, 100)(2, 105)(3, 108)(4, 97)(5, 110)(6, 111)(7, 115)(8, 118)(9, 98)(10, 119)(11, 122)(12, 99)(13, 124)(14, 101)(15, 102)(16, 125)(17, 126)(18, 130)(19, 103)(20, 131)(21, 134)(22, 104)(23, 106)(24, 135)(25, 137)(26, 107)(27, 138)(28, 109)(29, 112)(30, 113)(31, 139)(32, 140)(33, 141)(34, 114)(35, 116)(36, 142)(37, 143)(38, 117)(39, 120)(40, 144)(41, 121)(42, 123)(43, 127)(44, 128)(45, 129)(46, 132)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.975
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.984 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C4 x S3) : C2 (small group id <48, 41>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^-1 * Y1^-1 * Y2 * Y1^-1, (R * Y3)^2, Y2^5 * Y1^2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 18, 66, 8, 56)(4, 52, 14, 62, 19, 67, 9, 57)(6, 54, 16, 64, 20, 68, 10, 58)(12, 60, 21, 69, 33, 81, 25, 73)(13, 61, 22, 70, 34, 82, 26, 74)(15, 63, 23, 71, 35, 83, 29, 77)(17, 65, 24, 72, 36, 84, 31, 79)(27, 75, 40, 88, 32, 80, 37, 85)(28, 76, 41, 89, 45, 93, 38, 86)(30, 78, 43, 91, 46, 94, 39, 87)(42, 90, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 108, 156, 123, 171, 132, 180, 116, 164, 103, 151, 114, 162, 129, 177, 128, 176, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 133, 181, 127, 175, 112, 160, 101, 149, 107, 155, 121, 169, 136, 184, 120, 168, 106, 154)(100, 148, 111, 159, 126, 174, 140, 188, 141, 189, 130, 178, 115, 163, 131, 179, 142, 190, 138, 186, 124, 172, 109, 157)(105, 153, 119, 167, 135, 183, 144, 192, 137, 185, 122, 170, 110, 158, 125, 173, 139, 187, 143, 191, 134, 182, 118, 166)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 111)(7, 115)(8, 118)(9, 98)(10, 119)(11, 122)(12, 124)(13, 99)(14, 101)(15, 102)(16, 125)(17, 126)(18, 130)(19, 103)(20, 131)(21, 134)(22, 104)(23, 106)(24, 135)(25, 137)(26, 107)(27, 138)(28, 108)(29, 112)(30, 113)(31, 139)(32, 140)(33, 141)(34, 114)(35, 116)(36, 142)(37, 143)(38, 117)(39, 120)(40, 144)(41, 121)(42, 123)(43, 127)(44, 128)(45, 129)(46, 132)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.976
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.985 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = D8 x S3 (small group id <48, 38>)
Aut   = (D8 x S3) : C2 (small group id <96, 216>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, R * Y2 * R * Y2^-1, Y1^4, (Y2^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, Y2^5 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 7, 55, 5, 53)(3, 51, 11, 59, 18, 66, 10, 58)(4, 52, 14, 62, 19, 67, 9, 57)(6, 54, 16, 64, 20, 68, 8, 56)(12, 60, 24, 72, 33, 81, 26, 74)(13, 61, 23, 71, 34, 82, 25, 73)(15, 63, 22, 70, 35, 83, 29, 77)(17, 65, 21, 69, 36, 84, 31, 79)(27, 75, 37, 85, 32, 80, 40, 88)(28, 76, 41, 89, 45, 93, 39, 87)(30, 78, 43, 91, 46, 94, 38, 86)(42, 90, 48, 96, 44, 92, 47, 95)(97, 145, 99, 147, 108, 156, 123, 171, 132, 180, 116, 164, 103, 151, 114, 162, 129, 177, 128, 176, 113, 161, 102, 150)(98, 146, 104, 152, 117, 165, 133, 181, 122, 170, 107, 155, 101, 149, 112, 160, 127, 175, 136, 184, 120, 168, 106, 154)(100, 148, 111, 159, 126, 174, 140, 188, 141, 189, 130, 178, 115, 163, 131, 179, 142, 190, 138, 186, 124, 172, 109, 157)(105, 153, 119, 167, 135, 183, 144, 192, 139, 187, 125, 173, 110, 158, 121, 169, 137, 185, 143, 191, 134, 182, 118, 166)
	L = (1, 100)(2, 105)(3, 109)(4, 97)(5, 110)(6, 111)(7, 115)(8, 118)(9, 98)(10, 119)(11, 121)(12, 124)(13, 99)(14, 101)(15, 102)(16, 125)(17, 126)(18, 130)(19, 103)(20, 131)(21, 134)(22, 104)(23, 106)(24, 135)(25, 107)(26, 137)(27, 138)(28, 108)(29, 112)(30, 113)(31, 139)(32, 140)(33, 141)(34, 114)(35, 116)(36, 142)(37, 143)(38, 117)(39, 120)(40, 144)(41, 122)(42, 123)(43, 127)(44, 128)(45, 129)(46, 132)(47, 133)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.974
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.986 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y2 * Y3^-1 * Y2 * Y3, (R * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y1 * Y2 * Y3^2 * Y1 * Y2, (Y1 * Y3^-1 * Y1 * Y3)^3, Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50)(3, 51, 9, 57)(4, 52, 12, 60)(5, 53, 14, 62)(6, 54, 15, 63)(7, 55, 18, 66)(8, 56, 20, 68)(10, 58, 21, 69)(11, 59, 22, 70)(13, 61, 19, 67)(16, 64, 25, 73)(17, 65, 26, 74)(23, 71, 31, 79)(24, 72, 32, 80)(27, 75, 35, 83)(28, 76, 36, 84)(29, 77, 37, 85)(30, 78, 38, 86)(33, 81, 41, 89)(34, 82, 42, 90)(39, 87, 43, 91)(40, 88, 44, 92)(45, 93, 48, 96)(46, 94, 47, 95)(97, 145, 99, 147)(98, 146, 102, 150)(100, 148, 106, 154)(101, 149, 107, 155)(103, 151, 112, 160)(104, 152, 113, 161)(105, 153, 115, 163)(108, 156, 118, 166)(109, 157, 111, 159)(110, 158, 117, 165)(114, 162, 122, 170)(116, 164, 121, 169)(119, 167, 126, 174)(120, 168, 125, 173)(123, 171, 130, 178)(124, 172, 129, 177)(127, 175, 133, 181)(128, 176, 134, 182)(131, 179, 137, 185)(132, 180, 138, 186)(135, 183, 141, 189)(136, 184, 142, 190)(139, 187, 143, 191)(140, 188, 144, 192)
	L = (1, 100)(2, 103)(3, 106)(4, 109)(5, 97)(6, 112)(7, 115)(8, 98)(9, 113)(10, 111)(11, 99)(12, 119)(13, 101)(14, 120)(15, 107)(16, 105)(17, 102)(18, 123)(19, 104)(20, 124)(21, 125)(22, 126)(23, 110)(24, 108)(25, 129)(26, 130)(27, 116)(28, 114)(29, 118)(30, 117)(31, 135)(32, 136)(33, 122)(34, 121)(35, 139)(36, 140)(37, 141)(38, 142)(39, 128)(40, 127)(41, 143)(42, 144)(43, 132)(44, 131)(45, 134)(46, 133)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.989
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.987 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 49, 2, 50)(3, 51, 11, 59)(4, 52, 10, 58)(5, 53, 17, 65)(6, 54, 8, 56)(7, 55, 18, 66)(9, 57, 24, 72)(12, 60, 19, 67)(13, 61, 23, 71)(14, 62, 22, 70)(15, 63, 21, 69)(16, 64, 20, 68)(25, 73, 33, 81)(26, 74, 36, 84)(27, 75, 35, 83)(28, 76, 34, 82)(29, 77, 37, 85)(30, 78, 40, 88)(31, 79, 39, 87)(32, 80, 38, 86)(41, 89, 46, 94)(42, 90, 45, 93)(43, 91, 47, 95)(44, 92, 48, 96)(97, 145, 99, 147, 108, 156, 101, 149)(98, 146, 103, 151, 115, 163, 105, 153)(100, 148, 111, 159, 102, 150, 112, 160)(104, 152, 118, 166, 106, 154, 119, 167)(107, 155, 121, 169, 113, 161, 122, 170)(109, 157, 123, 171, 110, 158, 124, 172)(114, 162, 125, 173, 120, 168, 126, 174)(116, 164, 127, 175, 117, 165, 128, 176)(129, 177, 137, 185, 132, 180, 138, 186)(130, 178, 139, 187, 131, 179, 140, 188)(133, 181, 141, 189, 136, 184, 142, 190)(134, 182, 143, 191, 135, 183, 144, 192)
	L = (1, 100)(2, 104)(3, 109)(4, 108)(5, 110)(6, 97)(7, 116)(8, 115)(9, 117)(10, 98)(11, 118)(12, 102)(13, 101)(14, 99)(15, 120)(16, 114)(17, 119)(18, 111)(19, 106)(20, 105)(21, 103)(22, 113)(23, 107)(24, 112)(25, 130)(26, 131)(27, 132)(28, 129)(29, 134)(30, 135)(31, 136)(32, 133)(33, 123)(34, 122)(35, 121)(36, 124)(37, 127)(38, 126)(39, 125)(40, 128)(41, 144)(42, 143)(43, 141)(44, 142)(45, 140)(46, 139)(47, 137)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 24, 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.988
Graph:: simple bipartite
	v = 36 e = 96 f = 28
	degree seq :: [ 4^24, 8^12 ]

E17.988 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^-1 * Y1 * Y3 * Y1, (Y3 * Y2)^2, (R * Y3)^2, Y1^-1 * Y3 * Y1^-1 * Y3^-1, (R * Y1)^2, Y3^4, Y1 * Y3 * Y2 * Y1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 49, 2, 50, 7, 55, 20, 68, 37, 85, 30, 78, 16, 64, 28, 76, 44, 92, 35, 83, 18, 66, 5, 53)(3, 51, 11, 59, 21, 69, 41, 89, 34, 82, 17, 65, 26, 74, 8, 56, 24, 72, 38, 86, 31, 79, 13, 61)(4, 52, 15, 63, 33, 81, 40, 88, 23, 71, 10, 58, 6, 54, 19, 67, 36, 84, 39, 87, 22, 70, 9, 57)(12, 60, 29, 77, 45, 93, 47, 95, 43, 91, 25, 73, 14, 62, 32, 80, 46, 94, 48, 96, 42, 90, 27, 75)(97, 145, 99, 147)(98, 146, 104, 152)(100, 148, 110, 158)(101, 149, 113, 161)(102, 150, 108, 156)(103, 151, 117, 165)(105, 153, 123, 171)(106, 154, 121, 169)(107, 155, 124, 172)(109, 157, 126, 174)(111, 159, 125, 173)(112, 160, 122, 170)(114, 162, 127, 175)(115, 163, 128, 176)(116, 164, 134, 182)(118, 166, 139, 187)(119, 167, 138, 186)(120, 168, 140, 188)(129, 177, 142, 190)(130, 178, 133, 181)(131, 179, 137, 185)(132, 180, 141, 189)(135, 183, 144, 192)(136, 184, 143, 191)
	L = (1, 100)(2, 105)(3, 108)(4, 112)(5, 111)(6, 97)(7, 118)(8, 121)(9, 124)(10, 98)(11, 123)(12, 122)(13, 125)(14, 99)(15, 126)(16, 102)(17, 128)(18, 129)(19, 101)(20, 135)(21, 138)(22, 140)(23, 103)(24, 139)(25, 107)(26, 110)(27, 104)(28, 106)(29, 113)(30, 115)(31, 141)(32, 109)(33, 133)(34, 142)(35, 136)(36, 114)(37, 132)(38, 143)(39, 131)(40, 116)(41, 144)(42, 120)(43, 117)(44, 119)(45, 130)(46, 127)(47, 137)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4, 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 E17.987
Graph:: simple bipartite
	v = 28 e = 96 f = 36
	degree seq :: [ 4^24, 24^4 ]

E17.989 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x (C3 : C4)) : C2 (small group id <48, 39>)
Aut   = (C6 x D8) : C2 (small group id <96, 211>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (R * Y3)^2, (Y3^-1, Y1^-1), Y1^4, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1, (Y3 * Y2^-1)^2, Y2 * Y3^-1 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3^-1 * Y2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 49, 2, 50, 8, 56, 5, 53)(3, 51, 11, 59, 21, 69, 15, 63)(4, 52, 10, 58, 7, 55, 12, 60)(6, 54, 9, 57, 22, 70, 18, 66)(13, 61, 28, 76, 37, 85, 31, 79)(14, 62, 27, 75, 16, 64, 26, 74)(17, 65, 25, 73, 19, 67, 24, 72)(20, 68, 23, 71, 38, 86, 34, 82)(29, 77, 44, 92, 36, 84, 39, 87)(30, 78, 42, 90, 32, 80, 43, 91)(33, 81, 40, 88, 35, 83, 41, 89)(45, 93, 48, 96, 46, 94, 47, 95)(97, 145, 99, 147, 109, 157, 125, 173, 134, 182, 118, 166, 104, 152, 117, 165, 133, 181, 132, 180, 116, 164, 102, 150)(98, 146, 105, 153, 119, 167, 135, 183, 127, 175, 111, 159, 101, 149, 114, 162, 130, 178, 140, 188, 124, 172, 107, 155)(100, 148, 113, 161, 129, 177, 141, 189, 128, 176, 110, 158, 103, 151, 115, 163, 131, 179, 142, 190, 126, 174, 112, 160)(106, 154, 122, 170, 138, 186, 143, 191, 137, 185, 120, 168, 108, 156, 123, 171, 139, 187, 144, 192, 136, 184, 121, 169)
	L = (1, 100)(2, 106)(3, 110)(4, 104)(5, 108)(6, 115)(7, 97)(8, 103)(9, 120)(10, 101)(11, 123)(12, 98)(13, 126)(14, 117)(15, 122)(16, 99)(17, 102)(18, 121)(19, 118)(20, 129)(21, 112)(22, 113)(23, 136)(24, 114)(25, 105)(26, 107)(27, 111)(28, 138)(29, 141)(30, 133)(31, 139)(32, 109)(33, 134)(34, 137)(35, 116)(36, 142)(37, 128)(38, 131)(39, 143)(40, 130)(41, 119)(42, 127)(43, 124)(44, 144)(45, 132)(46, 125)(47, 140)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.986
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.990 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 12})
Quotient :: edge
Aut^+ = C2 x (C3 : C8) (small group id <48, 9>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1 * T2^-1 * T1^3, T1^-1 * T2^-1 * T1^-3 * T2^-1, T2^2 * T1 * T2^2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, T2^3 * T1 * T2^-3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 41, 23, 36, 25, 43, 35, 17, 5)(2, 7, 22, 40, 28, 9, 27, 15, 33, 44, 26, 8)(4, 12, 32, 45, 31, 11, 18, 16, 34, 46, 30, 14)(6, 19, 37, 47, 39, 21, 13, 24, 42, 48, 38, 20)(49, 50, 54, 66, 84, 75, 61, 52)(51, 57, 67, 62, 73, 56, 72, 59)(53, 63, 68, 60, 71, 55, 69, 64)(58, 74, 85, 79, 91, 76, 90, 78)(65, 70, 86, 82, 89, 81, 87, 80)(77, 88, 95, 94, 83, 92, 96, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.991
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.991 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 12})
Quotient :: loop
Aut^+ = C2 x (C3 : C8) (small group id <48, 9>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ F^2, T2^2 * T1^-2, (F * T1)^2, (F * T2)^2, T1^8, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 6, 54, 15, 63, 26, 74, 23, 71, 11, 59, 5, 53)(2, 50, 7, 55, 14, 62, 27, 75, 22, 70, 12, 60, 4, 52, 8, 56)(9, 57, 19, 67, 28, 76, 25, 73, 13, 61, 21, 69, 10, 58, 20, 68)(16, 64, 29, 77, 24, 72, 32, 80, 18, 66, 31, 79, 17, 65, 30, 78)(33, 81, 41, 89, 36, 84, 44, 92, 35, 83, 43, 91, 34, 82, 42, 90)(37, 85, 45, 93, 40, 88, 48, 96, 39, 87, 47, 95, 38, 86, 46, 94)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 58)(6, 62)(7, 64)(8, 65)(9, 63)(10, 51)(11, 52)(12, 66)(13, 53)(14, 74)(15, 76)(16, 75)(17, 55)(18, 56)(19, 81)(20, 82)(21, 83)(22, 59)(23, 61)(24, 60)(25, 84)(26, 70)(27, 72)(28, 71)(29, 85)(30, 86)(31, 87)(32, 88)(33, 73)(34, 67)(35, 68)(36, 69)(37, 80)(38, 77)(39, 78)(40, 79)(41, 93)(42, 94)(43, 95)(44, 96)(45, 92)(46, 89)(47, 90)(48, 91)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.990
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = C2 x (C3 : C8) (small group id <48, 9>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^2, Y1 * Y2 * Y1 * Y2 * Y1^2, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-2, Y2^3 * Y1 * Y2^-3 * Y1^-1, (Y2^-1 * Y1 * Y2^2 * Y1)^2, Y2^12, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 27, 75, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 14, 62, 25, 73, 8, 56, 24, 72, 11, 59)(5, 53, 15, 63, 20, 68, 12, 60, 23, 71, 7, 55, 21, 69, 16, 64)(10, 58, 26, 74, 37, 85, 31, 79, 43, 91, 28, 76, 42, 90, 30, 78)(17, 65, 22, 70, 38, 86, 34, 82, 41, 89, 33, 81, 39, 87, 32, 80)(29, 77, 40, 88, 47, 95, 46, 94, 35, 83, 44, 92, 48, 96, 45, 93)(97, 145, 99, 147, 106, 154, 125, 173, 137, 185, 119, 167, 132, 180, 121, 169, 139, 187, 131, 179, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 124, 172, 105, 153, 123, 171, 111, 159, 129, 177, 140, 188, 122, 170, 104, 152)(100, 148, 108, 156, 128, 176, 141, 189, 127, 175, 107, 155, 114, 162, 112, 160, 130, 178, 142, 190, 126, 174, 110, 158)(102, 150, 115, 163, 133, 181, 143, 191, 135, 183, 117, 165, 109, 157, 120, 168, 138, 186, 144, 192, 134, 182, 116, 164)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 114)(12, 128)(13, 120)(14, 100)(15, 129)(16, 130)(17, 101)(18, 112)(19, 133)(20, 102)(21, 109)(22, 136)(23, 132)(24, 138)(25, 139)(26, 104)(27, 111)(28, 105)(29, 137)(30, 110)(31, 107)(32, 141)(33, 140)(34, 142)(35, 113)(36, 121)(37, 143)(38, 116)(39, 117)(40, 124)(41, 119)(42, 144)(43, 131)(44, 122)(45, 127)(46, 126)(47, 135)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.993
Graph:: bipartite
	v = 10 e = 96 f = 54
	degree seq :: [ 16^6, 24^4 ]

E17.993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = C2 x (C3 : C8) (small group id <48, 9>)
Aut   = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-3, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-3 * Y3^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^5 * Y2 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 132, 180, 123, 171, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 110, 158, 121, 169, 104, 152, 120, 168, 107, 155)(101, 149, 111, 159, 116, 164, 108, 156, 119, 167, 103, 151, 117, 165, 112, 160)(106, 154, 122, 170, 133, 181, 127, 175, 139, 187, 124, 172, 138, 186, 126, 174)(113, 161, 118, 166, 134, 182, 130, 178, 137, 185, 129, 177, 135, 183, 128, 176)(125, 173, 136, 184, 143, 191, 142, 190, 131, 179, 140, 188, 144, 192, 141, 189)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 114)(12, 128)(13, 120)(14, 100)(15, 129)(16, 130)(17, 101)(18, 112)(19, 133)(20, 102)(21, 109)(22, 136)(23, 132)(24, 138)(25, 139)(26, 104)(27, 111)(28, 105)(29, 137)(30, 110)(31, 107)(32, 141)(33, 140)(34, 142)(35, 113)(36, 121)(37, 143)(38, 116)(39, 117)(40, 124)(41, 119)(42, 144)(43, 131)(44, 122)(45, 127)(46, 126)(47, 135)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.992
Graph:: simple bipartite
	v = 54 e = 96 f = 10
	degree seq :: [ 2^48, 16^6 ]

E17.994 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {8, 8, 12})
Quotient :: edge
Aut^+ = (C3 : C8) : C2 (small group id <48, 10>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2^2 * T1^2 * T2^-2 * T1^-2, T1^8, T2 * T1^-1 * T2^-2 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-1, T1^-1 * T2^-2 * T1^-2 * T2^-4 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 33, 42, 26, 41, 40, 25, 13, 5)(2, 7, 17, 31, 47, 36, 24, 39, 48, 32, 18, 8)(4, 11, 22, 37, 44, 28, 14, 27, 43, 34, 20, 10)(6, 15, 29, 45, 38, 23, 12, 21, 35, 46, 30, 16)(49, 50, 54, 62, 74, 72, 60, 52)(51, 56, 63, 76, 89, 84, 69, 58)(53, 55, 64, 75, 90, 87, 71, 59)(57, 66, 77, 92, 88, 95, 83, 68)(61, 65, 78, 91, 81, 96, 86, 70)(67, 80, 93, 85, 73, 79, 94, 82)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^8 ), ( 16^12 ) }
Outer automorphisms :: reflexible
Dual of E17.995
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 8^6, 12^4 ]

E17.995 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {8, 8, 12})
Quotient :: loop
Aut^+ = (C3 : C8) : C2 (small group id <48, 10>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2^-2, T1^-2 * T2^6, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2 * T1 * T2 * T1 * T2^-1, T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 21, 69, 26, 74, 15, 63, 6, 54, 5, 53)(2, 50, 7, 55, 4, 52, 12, 60, 22, 70, 27, 75, 14, 62, 8, 56)(9, 57, 19, 67, 11, 59, 23, 71, 28, 76, 25, 73, 13, 61, 20, 68)(16, 64, 29, 77, 17, 65, 31, 79, 24, 72, 32, 80, 18, 66, 30, 78)(33, 81, 41, 89, 34, 82, 43, 91, 36, 84, 44, 92, 35, 83, 42, 90)(37, 85, 45, 93, 38, 86, 47, 95, 40, 88, 48, 96, 39, 87, 46, 94)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 61)(6, 62)(7, 64)(8, 66)(9, 53)(10, 52)(11, 51)(12, 65)(13, 63)(14, 74)(15, 76)(16, 56)(17, 55)(18, 75)(19, 81)(20, 83)(21, 59)(22, 58)(23, 82)(24, 60)(25, 84)(26, 70)(27, 72)(28, 69)(29, 85)(30, 87)(31, 86)(32, 88)(33, 68)(34, 67)(35, 73)(36, 71)(37, 78)(38, 77)(39, 80)(40, 79)(41, 96)(42, 95)(43, 94)(44, 93)(45, 91)(46, 89)(47, 92)(48, 90)
	local type(s) :: { ( 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.994
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.996 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 10>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1, Y1^8, Y2 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-4 * Y1^-1, Y2^2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-2, Y2^3 * Y1^2 * Y2^-3 * Y1^-2, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 24, 72, 12, 60, 4, 52)(3, 51, 8, 56, 15, 63, 28, 76, 41, 89, 36, 84, 21, 69, 10, 58)(5, 53, 7, 55, 16, 64, 27, 75, 42, 90, 39, 87, 23, 71, 11, 59)(9, 57, 18, 66, 29, 77, 44, 92, 40, 88, 47, 95, 35, 83, 20, 68)(13, 61, 17, 65, 30, 78, 43, 91, 33, 81, 48, 96, 38, 86, 22, 70)(19, 67, 32, 80, 45, 93, 37, 85, 25, 73, 31, 79, 46, 94, 34, 82)(97, 145, 99, 147, 105, 153, 115, 163, 129, 177, 138, 186, 122, 170, 137, 185, 136, 184, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 143, 191, 132, 180, 120, 168, 135, 183, 144, 192, 128, 176, 114, 162, 104, 152)(100, 148, 107, 155, 118, 166, 133, 181, 140, 188, 124, 172, 110, 158, 123, 171, 139, 187, 130, 178, 116, 164, 106, 154)(102, 150, 111, 159, 125, 173, 141, 189, 134, 182, 119, 167, 108, 156, 117, 165, 131, 179, 142, 190, 126, 174, 112, 160)
	L = (1, 99)(2, 103)(3, 105)(4, 107)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 100)(11, 118)(12, 117)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 106)(21, 131)(22, 133)(23, 108)(24, 135)(25, 109)(26, 137)(27, 139)(28, 110)(29, 141)(30, 112)(31, 143)(32, 114)(33, 138)(34, 116)(35, 142)(36, 120)(37, 140)(38, 119)(39, 144)(40, 121)(41, 136)(42, 122)(43, 130)(44, 124)(45, 134)(46, 126)(47, 132)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.997
Graph:: bipartite
	v = 10 e = 96 f = 54
	degree seq :: [ 16^6, 24^4 ]

E17.997 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {8, 8, 12})
Quotient :: dipole
Aut^+ = (C3 : C8) : C2 (small group id <48, 10>)
Aut   = (C2 x D24) : C2 (small group id <96, 156>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^8, Y3 * Y2^-1 * Y3^-1 * Y2^-2 * Y3^-4 * Y2^-1, Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^3 * Y2^-2, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 110, 158, 122, 170, 120, 168, 108, 156, 100, 148)(99, 147, 104, 152, 111, 159, 124, 172, 137, 185, 132, 180, 117, 165, 106, 154)(101, 149, 103, 151, 112, 160, 123, 171, 138, 186, 135, 183, 119, 167, 107, 155)(105, 153, 114, 162, 125, 173, 140, 188, 136, 184, 143, 191, 131, 179, 116, 164)(109, 157, 113, 161, 126, 174, 139, 187, 129, 177, 144, 192, 134, 182, 118, 166)(115, 163, 128, 176, 141, 189, 133, 181, 121, 169, 127, 175, 142, 190, 130, 178)
	L = (1, 99)(2, 103)(3, 105)(4, 107)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 100)(11, 118)(12, 117)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 129)(20, 106)(21, 131)(22, 133)(23, 108)(24, 135)(25, 109)(26, 137)(27, 139)(28, 110)(29, 141)(30, 112)(31, 143)(32, 114)(33, 138)(34, 116)(35, 142)(36, 120)(37, 140)(38, 119)(39, 144)(40, 121)(41, 136)(42, 122)(43, 130)(44, 124)(45, 134)(46, 126)(47, 132)(48, 128)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 24 ), ( 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24, 16, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.996
Graph:: simple bipartite
	v = 54 e = 96 f = 10
	degree seq :: [ 2^48, 16^6 ]

E17.998 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-2 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, (T2 * T1^-1)^4, T2^3 * T1^-2 * T2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 13, 32, 41, 20, 6, 19, 17, 5)(2, 7, 22, 14, 4, 12, 30, 38, 18, 37, 26, 8)(9, 27, 16, 33, 11, 31, 40, 48, 39, 36, 15, 28)(21, 42, 25, 45, 23, 44, 35, 47, 34, 46, 24, 43)(49, 50, 54, 66, 61, 52)(51, 57, 67, 87, 80, 59)(53, 63, 68, 88, 77, 64)(55, 69, 85, 82, 60, 71)(56, 72, 86, 83, 62, 73)(58, 70, 65, 74, 89, 78)(75, 90, 84, 94, 79, 92)(76, 91, 96, 95, 81, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.999
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.999 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-2 * T1^-1)^2, T2^2 * T1 * T2^-2 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, (T2 * T1^-1)^4, T2^3 * T1^-2 * T2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 13, 61, 32, 80, 41, 89, 20, 68, 6, 54, 19, 67, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 14, 62, 4, 52, 12, 60, 30, 78, 38, 86, 18, 66, 37, 85, 26, 74, 8, 56)(9, 57, 27, 75, 16, 64, 33, 81, 11, 59, 31, 79, 40, 88, 48, 96, 39, 87, 36, 84, 15, 63, 28, 76)(21, 69, 42, 90, 25, 73, 45, 93, 23, 71, 44, 92, 35, 83, 47, 95, 34, 82, 46, 94, 24, 72, 43, 91)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 61)(19, 87)(20, 88)(21, 85)(22, 65)(23, 55)(24, 86)(25, 56)(26, 89)(27, 90)(28, 91)(29, 64)(30, 58)(31, 92)(32, 59)(33, 93)(34, 60)(35, 62)(36, 94)(37, 82)(38, 83)(39, 80)(40, 77)(41, 78)(42, 84)(43, 96)(44, 75)(45, 76)(46, 79)(47, 81)(48, 95)
	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 E17.998
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.1000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y2^-4 * Y1^-1 * Y3, Y2 * Y1 * Y2^2 * Y3^-1 * Y2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1^-1, Y1^6, (Y1^-1 * Y3)^3, Y2^2 * Y3 * Y2^2 * Y1^-2 * Y3, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2^2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^2 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 32, 80, 11, 59)(5, 53, 15, 63, 20, 68, 40, 88, 29, 77, 16, 64)(7, 55, 21, 69, 37, 85, 34, 82, 12, 60, 23, 71)(8, 56, 24, 72, 38, 86, 35, 83, 14, 62, 25, 73)(10, 58, 22, 70, 17, 65, 26, 74, 41, 89, 30, 78)(27, 75, 42, 90, 36, 84, 46, 94, 31, 79, 44, 92)(28, 76, 43, 91, 48, 96, 47, 95, 33, 81, 45, 93)(97, 145, 99, 147, 106, 154, 125, 173, 109, 157, 128, 176, 137, 185, 116, 164, 102, 150, 115, 163, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 110, 158, 100, 148, 108, 156, 126, 174, 134, 182, 114, 162, 133, 181, 122, 170, 104, 152)(105, 153, 123, 171, 112, 160, 129, 177, 107, 155, 127, 175, 136, 184, 144, 192, 135, 183, 132, 180, 111, 159, 124, 172)(117, 165, 138, 186, 121, 169, 141, 189, 119, 167, 140, 188, 131, 179, 143, 191, 130, 178, 142, 190, 120, 168, 139, 187)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 126)(11, 128)(12, 130)(13, 114)(14, 131)(15, 101)(16, 125)(17, 118)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 140)(28, 141)(29, 136)(30, 137)(31, 142)(32, 135)(33, 143)(34, 133)(35, 134)(36, 138)(37, 117)(38, 120)(39, 115)(40, 116)(41, 122)(42, 123)(43, 124)(44, 127)(45, 129)(46, 132)(47, 144)(48, 139)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 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 E17.1001
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 12^8, 24^4 ]

E17.1001 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C3 x ((C4 x C2) : C2) (small group id <48, 21>)
Aut   = (C2 x C2 x C2 x S3) : C2 (small group id <96, 89>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^-3 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^6, (Y3^-1 * Y1)^4, (Y3, Y1^-1)^2, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y3 * Y2^-1)^6, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 17, 65, 26, 74, 39, 87, 30, 78, 10, 58, 22, 70, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 16, 64, 5, 53, 15, 63, 20, 68, 38, 86, 29, 77, 47, 95, 32, 80, 11, 59)(7, 55, 21, 69, 14, 62, 25, 73, 8, 56, 24, 72, 37, 85, 48, 96, 42, 90, 34, 82, 12, 60, 23, 71)(27, 75, 40, 88, 33, 81, 44, 92, 28, 76, 41, 89, 36, 84, 46, 94, 35, 83, 45, 93, 31, 79, 43, 91)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 128)(14, 100)(15, 124)(16, 129)(17, 101)(18, 110)(19, 109)(20, 102)(21, 136)(22, 138)(23, 139)(24, 137)(25, 140)(26, 104)(27, 143)(28, 105)(29, 113)(30, 133)(31, 134)(32, 135)(33, 107)(34, 141)(35, 111)(36, 112)(37, 114)(38, 132)(39, 116)(40, 130)(41, 117)(42, 122)(43, 144)(44, 119)(45, 120)(46, 121)(47, 131)(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) :: { ( 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 E17.1000
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.1002 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2, (T2^2 * T1)^2, T1^6, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-3, (T2^2 * T1^-2)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 32, 18, 22, 42, 39, 17, 5)(2, 7, 21, 41, 30, 11, 13, 33, 48, 44, 23, 8)(4, 12, 31, 47, 40, 19, 6, 15, 36, 45, 26, 14)(9, 24, 16, 37, 34, 28, 29, 43, 35, 38, 20, 25)(49, 50, 54, 66, 61, 52)(51, 57, 56, 70, 77, 59)(53, 63, 83, 80, 60, 64)(55, 68, 67, 81, 82, 62)(58, 74, 73, 90, 88, 76)(65, 86, 96, 94, 85, 69)(71, 91, 79, 78, 72, 84)(75, 89, 93, 87, 92, 95)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1003
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.1003 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^2 * T2 * T1^-1 * T2, (T2^2 * T1)^2, T1^6, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-3, (T2^2 * T1^-2)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 46, 94, 32, 80, 18, 66, 22, 70, 42, 90, 39, 87, 17, 65, 5, 53)(2, 50, 7, 55, 21, 69, 41, 89, 30, 78, 11, 59, 13, 61, 33, 81, 48, 96, 44, 92, 23, 71, 8, 56)(4, 52, 12, 60, 31, 79, 47, 95, 40, 88, 19, 67, 6, 54, 15, 63, 36, 84, 45, 93, 26, 74, 14, 62)(9, 57, 24, 72, 16, 64, 37, 85, 34, 82, 28, 76, 29, 77, 43, 91, 35, 83, 38, 86, 20, 68, 25, 73)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 68)(8, 70)(9, 56)(10, 74)(11, 51)(12, 64)(13, 52)(14, 55)(15, 83)(16, 53)(17, 86)(18, 61)(19, 81)(20, 67)(21, 65)(22, 77)(23, 91)(24, 84)(25, 90)(26, 73)(27, 89)(28, 58)(29, 59)(30, 72)(31, 78)(32, 60)(33, 82)(34, 62)(35, 80)(36, 71)(37, 69)(38, 96)(39, 92)(40, 76)(41, 93)(42, 88)(43, 79)(44, 95)(45, 87)(46, 85)(47, 75)(48, 94)
	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 E17.1002
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.1004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * R * Y2^-1 * R, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2 * Y3^-1, Y2^2 * Y1 * Y2^2 * Y3^-1, Y1^6, Y1^-1 * Y3^3 * Y1^-1 * Y3, Y1 * Y2^-1 * R * Y2^-2 * R * Y2, Y2^-1 * Y3 * Y2^3 * Y1 * Y2^-2, Y2 * Y3 * Y2^-5 * Y1^-1, Y2^2 * Y3^2 * Y2^2 * Y1^-2, Y3 * Y2 * Y3 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 8, 56, 22, 70, 29, 77, 11, 59)(5, 53, 15, 63, 35, 83, 32, 80, 12, 60, 16, 64)(7, 55, 20, 68, 19, 67, 33, 81, 34, 82, 14, 62)(10, 58, 26, 74, 25, 73, 42, 90, 40, 88, 28, 76)(17, 65, 38, 86, 48, 96, 46, 94, 37, 85, 21, 69)(23, 71, 43, 91, 31, 79, 30, 78, 24, 72, 36, 84)(27, 75, 41, 89, 45, 93, 39, 87, 44, 92, 47, 95)(97, 145, 99, 147, 106, 154, 123, 171, 142, 190, 128, 176, 114, 162, 118, 166, 138, 186, 135, 183, 113, 161, 101, 149)(98, 146, 103, 151, 117, 165, 137, 185, 126, 174, 107, 155, 109, 157, 129, 177, 144, 192, 140, 188, 119, 167, 104, 152)(100, 148, 108, 156, 127, 175, 143, 191, 136, 184, 115, 163, 102, 150, 111, 159, 132, 180, 141, 189, 122, 170, 110, 158)(105, 153, 120, 168, 112, 160, 133, 181, 130, 178, 124, 172, 125, 173, 139, 187, 131, 179, 134, 182, 116, 164, 121, 169)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 110)(8, 105)(9, 99)(10, 124)(11, 125)(12, 128)(13, 114)(14, 130)(15, 101)(16, 108)(17, 117)(18, 102)(19, 116)(20, 103)(21, 133)(22, 104)(23, 132)(24, 126)(25, 122)(26, 106)(27, 143)(28, 136)(29, 118)(30, 127)(31, 139)(32, 131)(33, 115)(34, 129)(35, 111)(36, 120)(37, 142)(38, 113)(39, 141)(40, 138)(41, 123)(42, 121)(43, 119)(44, 135)(45, 137)(46, 144)(47, 140)(48, 134)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E17.1005
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 12^8, 24^4 ]

E17.1005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = C4 x A4 (small group id <48, 31>)
Aut   = (C2 x S4) : C2 (small group id <96, 187>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1 * Y3^-1 * Y1, (Y1^2 * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3)^2, Y3^6, Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-3, (Y3^2 * Y1^-2)^2, (Y3 * Y2^-1)^6, Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 40, 88, 37, 85, 27, 75, 29, 77, 45, 93, 34, 82, 13, 61, 4, 52)(3, 51, 9, 57, 25, 73, 41, 89, 23, 71, 8, 56, 17, 65, 39, 87, 48, 96, 47, 95, 30, 78, 11, 59)(5, 53, 15, 63, 36, 84, 42, 90, 44, 92, 28, 76, 10, 58, 12, 60, 31, 79, 43, 91, 19, 67, 16, 64)(7, 55, 21, 69, 14, 62, 35, 83, 38, 86, 20, 68, 24, 72, 46, 94, 32, 80, 33, 81, 26, 74, 22, 70)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 107)(8, 98)(9, 122)(10, 123)(11, 125)(12, 128)(13, 129)(14, 100)(15, 110)(16, 105)(17, 101)(18, 137)(19, 118)(20, 102)(21, 127)(22, 141)(23, 117)(24, 104)(25, 109)(26, 124)(27, 113)(28, 135)(29, 120)(30, 142)(31, 126)(32, 133)(33, 144)(34, 143)(35, 121)(36, 119)(37, 111)(38, 112)(39, 134)(40, 131)(41, 139)(42, 114)(43, 130)(44, 116)(45, 140)(46, 132)(47, 138)(48, 136)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E17.1004
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.1006 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 12, 12})
Quotient :: edge
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2)^2, (T1^-1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1^-2)^2, T2 * T1^-2 * T2^2 * T1 * T2, T2^12 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 40, 37, 16, 36, 47, 35, 15, 5)(2, 7, 20, 41, 44, 23, 12, 30, 34, 43, 22, 8)(4, 11, 29, 45, 26, 18, 6, 17, 38, 48, 31, 13)(9, 24, 28, 46, 39, 42, 21, 33, 14, 32, 19, 25)(49, 50, 54, 64, 60, 52)(51, 57, 71, 84, 69, 56)(53, 59, 76, 85, 65, 62)(55, 67, 61, 78, 87, 66)(58, 74, 90, 95, 79, 73)(63, 80, 68, 88, 94, 82)(70, 81, 86, 92, 72, 77)(75, 89, 96, 83, 91, 93)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 24^6 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1007
Transitivity :: ET+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 6^8, 12^4 ]

E17.1007 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 12, 12})
Quotient :: loop
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2)^2, (T1^-1 * T2)^2, (F * T1)^2, (F * T2)^2, T1^6, (T2^-1 * T1^-2)^2, T2 * T1^-2 * T2^2 * T1 * T2, T2^12 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 27, 75, 40, 88, 37, 85, 16, 64, 36, 84, 47, 95, 35, 83, 15, 63, 5, 53)(2, 50, 7, 55, 20, 68, 41, 89, 44, 92, 23, 71, 12, 60, 30, 78, 34, 82, 43, 91, 22, 70, 8, 56)(4, 52, 11, 59, 29, 77, 45, 93, 26, 74, 18, 66, 6, 54, 17, 65, 38, 86, 48, 96, 31, 79, 13, 61)(9, 57, 24, 72, 28, 76, 46, 94, 39, 87, 42, 90, 21, 69, 33, 81, 14, 62, 32, 80, 19, 67, 25, 73)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 64)(7, 67)(8, 51)(9, 71)(10, 74)(11, 76)(12, 52)(13, 78)(14, 53)(15, 80)(16, 60)(17, 62)(18, 55)(19, 61)(20, 88)(21, 56)(22, 81)(23, 84)(24, 77)(25, 58)(26, 90)(27, 89)(28, 85)(29, 70)(30, 87)(31, 73)(32, 68)(33, 86)(34, 63)(35, 91)(36, 69)(37, 65)(38, 92)(39, 66)(40, 94)(41, 96)(42, 95)(43, 93)(44, 72)(45, 75)(46, 82)(47, 79)(48, 83)
	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 E17.1006
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.1008 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^6, Y2^-1 * Y3^2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-2, Y2 * Y1^-1 * R * Y2^-2 * R * Y2, Y2^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 36, 84, 21, 69, 8, 56)(5, 53, 11, 59, 28, 76, 37, 85, 17, 65, 14, 62)(7, 55, 19, 67, 13, 61, 30, 78, 39, 87, 18, 66)(10, 58, 26, 74, 42, 90, 47, 95, 31, 79, 25, 73)(15, 63, 32, 80, 20, 68, 40, 88, 46, 94, 34, 82)(22, 70, 33, 81, 38, 86, 44, 92, 24, 72, 29, 77)(27, 75, 41, 89, 48, 96, 35, 83, 43, 91, 45, 93)(97, 145, 99, 147, 106, 154, 123, 171, 136, 184, 133, 181, 112, 160, 132, 180, 143, 191, 131, 179, 111, 159, 101, 149)(98, 146, 103, 151, 116, 164, 137, 185, 140, 188, 119, 167, 108, 156, 126, 174, 130, 178, 139, 187, 118, 166, 104, 152)(100, 148, 107, 155, 125, 173, 141, 189, 122, 170, 114, 162, 102, 150, 113, 161, 134, 182, 144, 192, 127, 175, 109, 157)(105, 153, 120, 168, 124, 172, 142, 190, 135, 183, 138, 186, 117, 165, 129, 177, 110, 158, 128, 176, 115, 163, 121, 169)
	L = (1, 100)(2, 97)(3, 104)(4, 108)(5, 110)(6, 98)(7, 114)(8, 117)(9, 99)(10, 121)(11, 101)(12, 112)(13, 115)(14, 113)(15, 130)(16, 102)(17, 133)(18, 135)(19, 103)(20, 128)(21, 132)(22, 125)(23, 105)(24, 140)(25, 127)(26, 106)(27, 141)(28, 107)(29, 120)(30, 109)(31, 143)(32, 111)(33, 118)(34, 142)(35, 144)(36, 119)(37, 124)(38, 129)(39, 126)(40, 116)(41, 123)(42, 122)(43, 131)(44, 134)(45, 139)(46, 136)(47, 138)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 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 E17.1009
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 12^8, 24^4 ]

E17.1009 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 12, 12})
Quotient :: dipole
Aut^+ = SL(2,3) : C2 (small group id <48, 33>)
Aut   = (SL(2,3) : C2) : C2 (small group id <96, 193>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y1^-1 * Y3^-2)^2, Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y1^2 * Y3^-2 * Y1^-1 * Y3 * Y1^3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 16, 64, 36, 84, 45, 93, 27, 75, 41, 89, 47, 95, 31, 79, 12, 60, 4, 52)(3, 51, 9, 57, 23, 71, 37, 85, 40, 88, 20, 68, 15, 63, 34, 82, 32, 80, 42, 90, 21, 69, 8, 56)(5, 53, 11, 59, 28, 76, 38, 86, 17, 65, 25, 73, 10, 58, 26, 74, 44, 92, 48, 96, 35, 83, 14, 62)(7, 55, 19, 67, 29, 77, 46, 94, 43, 91, 39, 87, 22, 70, 33, 81, 13, 61, 30, 78, 24, 72, 18, 66)(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, 113)(7, 116)(8, 98)(9, 120)(10, 123)(11, 125)(12, 126)(13, 100)(14, 130)(15, 101)(16, 133)(17, 135)(18, 102)(19, 124)(20, 137)(21, 129)(22, 104)(23, 132)(24, 110)(25, 105)(26, 109)(27, 111)(28, 117)(29, 141)(30, 119)(31, 138)(32, 108)(33, 140)(34, 139)(35, 114)(36, 142)(37, 144)(38, 112)(39, 143)(40, 115)(41, 118)(42, 134)(43, 121)(44, 136)(45, 122)(46, 128)(47, 131)(48, 127)(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, 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 E17.1008
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.1010 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^6, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 31, 24, 13, 5)(2, 7, 17, 29, 40, 30, 18, 8)(4, 10, 20, 32, 41, 35, 23, 12)(6, 15, 27, 38, 46, 39, 28, 16)(11, 21, 33, 42, 47, 43, 34, 22)(14, 25, 36, 44, 48, 45, 37, 26)(49, 50, 54, 62, 59, 52)(51, 55, 63, 73, 69, 58)(53, 56, 64, 74, 70, 60)(57, 65, 75, 84, 81, 68)(61, 66, 76, 85, 82, 71)(67, 77, 86, 92, 90, 80)(72, 78, 87, 93, 91, 83)(79, 88, 94, 96, 95, 89)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1014
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 6^8, 8^6 ]

E17.1011 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-2 * T2^6, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 30, 16, 6, 15, 29, 42, 47, 39, 26, 38, 46, 45, 36, 23, 11, 21, 33, 25, 13, 5)(2, 7, 17, 31, 41, 28, 14, 27, 40, 48, 44, 35, 22, 34, 43, 37, 24, 12, 4, 10, 20, 32, 18, 8)(49, 50, 54, 62, 74, 70, 59, 52)(51, 55, 63, 75, 86, 82, 69, 58)(53, 56, 64, 76, 87, 83, 71, 60)(57, 65, 77, 88, 94, 91, 81, 68)(61, 66, 78, 89, 95, 92, 84, 72)(67, 79, 90, 96, 93, 85, 73, 80)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^8 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1015
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.1012 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^6, T2^-2 * T1^-8 ]
Map:: non-degenerate
	R = (1, 3, 9, 19, 13, 5)(2, 7, 17, 30, 18, 8)(4, 10, 20, 31, 24, 12)(6, 15, 28, 42, 29, 16)(11, 21, 32, 43, 36, 23)(14, 26, 40, 48, 41, 27)(22, 33, 44, 46, 37, 35)(25, 38, 34, 45, 47, 39)(49, 50, 54, 62, 73, 85, 84, 72, 61, 66, 77, 89, 95, 92, 80, 68, 57, 65, 76, 88, 82, 70, 59, 52)(51, 55, 63, 74, 86, 83, 71, 60, 53, 56, 64, 75, 87, 94, 91, 79, 67, 78, 90, 96, 93, 81, 69, 58)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^6 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1013
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 6^8, 24^2 ]

E17.1013 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T1^6, T2^8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 31, 79, 24, 72, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 29, 77, 40, 88, 30, 78, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 32, 80, 41, 89, 35, 83, 23, 71, 12, 60)(6, 54, 15, 63, 27, 75, 38, 86, 46, 94, 39, 87, 28, 76, 16, 64)(11, 59, 21, 69, 33, 81, 42, 90, 47, 95, 43, 91, 34, 82, 22, 70)(14, 62, 25, 73, 36, 84, 44, 92, 48, 96, 45, 93, 37, 85, 26, 74)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 59)(15, 73)(16, 74)(17, 75)(18, 76)(19, 77)(20, 57)(21, 58)(22, 60)(23, 61)(24, 78)(25, 69)(26, 70)(27, 84)(28, 85)(29, 86)(30, 87)(31, 88)(32, 67)(33, 68)(34, 71)(35, 72)(36, 81)(37, 82)(38, 92)(39, 93)(40, 94)(41, 79)(42, 80)(43, 83)(44, 90)(45, 91)(46, 96)(47, 89)(48, 95)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1012
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.1014 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (T1, T2^-1), (F * T1)^2, (F * T2)^2, T1^-2 * T2^6, T1^8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 30, 78, 16, 64, 6, 54, 15, 63, 29, 77, 42, 90, 47, 95, 39, 87, 26, 74, 38, 86, 46, 94, 45, 93, 36, 84, 23, 71, 11, 59, 21, 69, 33, 81, 25, 73, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 31, 79, 41, 89, 28, 76, 14, 62, 27, 75, 40, 88, 48, 96, 44, 92, 35, 83, 22, 70, 34, 82, 43, 91, 37, 85, 24, 72, 12, 60, 4, 52, 10, 58, 20, 68, 32, 80, 18, 66, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 80)(26, 70)(27, 86)(28, 87)(29, 88)(30, 89)(31, 90)(32, 67)(33, 68)(34, 69)(35, 71)(36, 72)(37, 73)(38, 82)(39, 83)(40, 94)(41, 95)(42, 96)(43, 81)(44, 84)(45, 85)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1010
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.1015 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^6, T2^-2 * T1^-8 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 19, 67, 13, 61, 5, 53)(2, 50, 7, 55, 17, 65, 30, 78, 18, 66, 8, 56)(4, 52, 10, 58, 20, 68, 31, 79, 24, 72, 12, 60)(6, 54, 15, 63, 28, 76, 42, 90, 29, 77, 16, 64)(11, 59, 21, 69, 32, 80, 43, 91, 36, 84, 23, 71)(14, 62, 26, 74, 40, 88, 48, 96, 41, 89, 27, 75)(22, 70, 33, 81, 44, 92, 46, 94, 37, 85, 35, 83)(25, 73, 38, 86, 34, 82, 45, 93, 47, 95, 39, 87)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 62)(7, 63)(8, 64)(9, 65)(10, 51)(11, 52)(12, 53)(13, 66)(14, 73)(15, 74)(16, 75)(17, 76)(18, 77)(19, 78)(20, 57)(21, 58)(22, 59)(23, 60)(24, 61)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 67)(32, 68)(33, 69)(34, 70)(35, 71)(36, 72)(37, 84)(38, 83)(39, 94)(40, 82)(41, 95)(42, 96)(43, 79)(44, 80)(45, 81)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1011
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.1016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y1^6, Y2^8, Y3^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 26, 74, 22, 70, 12, 60)(9, 57, 17, 65, 27, 75, 36, 84, 33, 81, 20, 68)(13, 61, 18, 66, 28, 76, 37, 85, 34, 82, 23, 71)(19, 67, 29, 77, 38, 86, 44, 92, 42, 90, 32, 80)(24, 72, 30, 78, 39, 87, 45, 93, 43, 91, 35, 83)(31, 79, 40, 88, 46, 94, 48, 96, 47, 95, 41, 89)(97, 145, 99, 147, 105, 153, 115, 163, 127, 175, 120, 168, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 136, 184, 126, 174, 114, 162, 104, 152)(100, 148, 106, 154, 116, 164, 128, 176, 137, 185, 131, 179, 119, 167, 108, 156)(102, 150, 111, 159, 123, 171, 134, 182, 142, 190, 135, 183, 124, 172, 112, 160)(107, 155, 117, 165, 129, 177, 138, 186, 143, 191, 139, 187, 130, 178, 118, 166)(110, 158, 121, 169, 132, 180, 140, 188, 144, 192, 141, 189, 133, 181, 122, 170)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 110)(12, 118)(13, 119)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 128)(20, 129)(21, 121)(22, 122)(23, 130)(24, 131)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 120)(31, 137)(32, 138)(33, 132)(34, 133)(35, 139)(36, 123)(37, 124)(38, 125)(39, 126)(40, 127)(41, 143)(42, 140)(43, 141)(44, 134)(45, 135)(46, 136)(47, 144)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1019
Graph:: bipartite
	v = 14 e = 96 f = 50
	degree seq :: [ 12^8, 16^6 ]

E17.1017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1, Y2^-1), (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^6, Y1^8, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 38, 86, 34, 82, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 39, 87, 35, 83, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 40, 88, 46, 94, 43, 91, 33, 81, 20, 68)(13, 61, 18, 66, 30, 78, 41, 89, 47, 95, 44, 92, 36, 84, 24, 72)(19, 67, 31, 79, 42, 90, 48, 96, 45, 93, 37, 85, 25, 73, 32, 80)(97, 145, 99, 147, 105, 153, 115, 163, 126, 174, 112, 160, 102, 150, 111, 159, 125, 173, 138, 186, 143, 191, 135, 183, 122, 170, 134, 182, 142, 190, 141, 189, 132, 180, 119, 167, 107, 155, 117, 165, 129, 177, 121, 169, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 127, 175, 137, 185, 124, 172, 110, 158, 123, 171, 136, 184, 144, 192, 140, 188, 131, 179, 118, 166, 130, 178, 139, 187, 133, 181, 120, 168, 108, 156, 100, 148, 106, 154, 116, 164, 128, 176, 114, 162, 104, 152)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 126)(20, 128)(21, 129)(22, 130)(23, 107)(24, 108)(25, 109)(26, 134)(27, 136)(28, 110)(29, 138)(30, 112)(31, 137)(32, 114)(33, 121)(34, 139)(35, 118)(36, 119)(37, 120)(38, 142)(39, 122)(40, 144)(41, 124)(42, 143)(43, 133)(44, 131)(45, 132)(46, 141)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1018
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 16^6, 48^2 ]

E17.1018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y3^-1), Y2^6, Y2^-2 * Y3^8, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 110, 158, 107, 155, 100, 148)(99, 147, 103, 151, 111, 159, 121, 169, 117, 165, 106, 154)(101, 149, 104, 152, 112, 160, 122, 170, 118, 166, 108, 156)(105, 153, 113, 161, 123, 171, 133, 181, 129, 177, 116, 164)(109, 157, 114, 162, 124, 172, 134, 182, 130, 178, 119, 167)(115, 163, 125, 173, 135, 183, 142, 190, 139, 187, 128, 176)(120, 168, 126, 174, 136, 184, 143, 191, 140, 188, 131, 179)(127, 175, 137, 185, 144, 192, 141, 189, 132, 180, 138, 186)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 121)(15, 123)(16, 102)(17, 125)(18, 104)(19, 127)(20, 128)(21, 129)(22, 107)(23, 108)(24, 109)(25, 133)(26, 110)(27, 135)(28, 112)(29, 137)(30, 114)(31, 136)(32, 138)(33, 139)(34, 118)(35, 119)(36, 120)(37, 142)(38, 122)(39, 144)(40, 124)(41, 143)(42, 126)(43, 132)(44, 130)(45, 131)(46, 141)(47, 134)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1017
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.1019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y1, Y3^-1), (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-6, Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^4 * Y3^-2 * Y1, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3^2 * Y1 * Y3 * Y1^2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 25, 73, 37, 85, 36, 84, 24, 72, 13, 61, 18, 66, 29, 77, 41, 89, 47, 95, 44, 92, 32, 80, 20, 68, 9, 57, 17, 65, 28, 76, 40, 88, 34, 82, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 26, 74, 38, 86, 35, 83, 23, 71, 12, 60, 5, 53, 8, 56, 16, 64, 27, 75, 39, 87, 46, 94, 43, 91, 31, 79, 19, 67, 30, 78, 42, 90, 48, 96, 45, 93, 33, 81, 21, 69, 10, 58)(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, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 122)(15, 124)(16, 102)(17, 126)(18, 104)(19, 109)(20, 127)(21, 128)(22, 129)(23, 107)(24, 108)(25, 134)(26, 136)(27, 110)(28, 138)(29, 112)(30, 114)(31, 120)(32, 139)(33, 140)(34, 141)(35, 118)(36, 119)(37, 131)(38, 130)(39, 121)(40, 144)(41, 123)(42, 125)(43, 132)(44, 142)(45, 143)(46, 133)(47, 135)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1016
Graph:: simple bipartite
	v = 50 e = 96 f = 14
	degree seq :: [ 2^48, 48^2 ]

E17.1020 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y2, Y1^-1), (Y3^-1, Y2^-1), Y3^6, Y1^6, Y3^2 * Y2^-8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 25, 73, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 26, 74, 22, 70, 12, 60)(9, 57, 17, 65, 27, 75, 37, 85, 33, 81, 20, 68)(13, 61, 18, 66, 28, 76, 38, 86, 34, 82, 23, 71)(19, 67, 29, 77, 39, 87, 46, 94, 45, 93, 32, 80)(24, 72, 30, 78, 40, 88, 47, 95, 43, 91, 35, 83)(31, 79, 41, 89, 36, 84, 42, 90, 48, 96, 44, 92)(97, 145, 99, 147, 105, 153, 115, 163, 127, 175, 139, 187, 130, 178, 118, 166, 107, 155, 117, 165, 129, 177, 141, 189, 144, 192, 136, 184, 124, 172, 112, 160, 102, 150, 111, 159, 123, 171, 135, 183, 132, 180, 120, 168, 109, 157, 101, 149)(98, 146, 103, 151, 113, 161, 125, 173, 137, 185, 131, 179, 119, 167, 108, 156, 100, 148, 106, 154, 116, 164, 128, 176, 140, 188, 143, 191, 134, 182, 122, 170, 110, 158, 121, 169, 133, 181, 142, 190, 138, 186, 126, 174, 114, 162, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 107)(5, 108)(6, 98)(7, 99)(8, 101)(9, 116)(10, 117)(11, 110)(12, 118)(13, 119)(14, 102)(15, 103)(16, 104)(17, 105)(18, 109)(19, 128)(20, 129)(21, 121)(22, 122)(23, 130)(24, 131)(25, 111)(26, 112)(27, 113)(28, 114)(29, 115)(30, 120)(31, 140)(32, 141)(33, 133)(34, 134)(35, 139)(36, 137)(37, 123)(38, 124)(39, 125)(40, 126)(41, 127)(42, 132)(43, 143)(44, 144)(45, 142)(46, 135)(47, 136)(48, 138)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1021
Graph:: bipartite
	v = 10 e = 96 f = 54
	degree seq :: [ 12^8, 48^2 ]

E17.1021 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1, Y3^-1), (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^6, Y1^8, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 14, 62, 26, 74, 22, 70, 11, 59, 4, 52)(3, 51, 7, 55, 15, 63, 27, 75, 38, 86, 34, 82, 21, 69, 10, 58)(5, 53, 8, 56, 16, 64, 28, 76, 39, 87, 35, 83, 23, 71, 12, 60)(9, 57, 17, 65, 29, 77, 40, 88, 46, 94, 43, 91, 33, 81, 20, 68)(13, 61, 18, 66, 30, 78, 41, 89, 47, 95, 44, 92, 36, 84, 24, 72)(19, 67, 31, 79, 42, 90, 48, 96, 45, 93, 37, 85, 25, 73, 32, 80)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 105)(4, 106)(5, 97)(6, 111)(7, 113)(8, 98)(9, 115)(10, 116)(11, 117)(12, 100)(13, 101)(14, 123)(15, 125)(16, 102)(17, 127)(18, 104)(19, 126)(20, 128)(21, 129)(22, 130)(23, 107)(24, 108)(25, 109)(26, 134)(27, 136)(28, 110)(29, 138)(30, 112)(31, 137)(32, 114)(33, 121)(34, 139)(35, 118)(36, 119)(37, 120)(38, 142)(39, 122)(40, 144)(41, 124)(42, 143)(43, 133)(44, 131)(45, 132)(46, 141)(47, 135)(48, 140)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1020
Graph:: simple bipartite
	v = 54 e = 96 f = 10
	degree seq :: [ 2^48, 16^6 ]

E17.1022 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^3 * T1, T2^-1 * T1 * T2^-3 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, (T1^-1, T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 3, 10, 25, 42, 23, 17, 5)(2, 7, 22, 15, 27, 9, 26, 8)(4, 12, 28, 16, 31, 11, 29, 14)(6, 19, 38, 24, 41, 21, 40, 20)(13, 30, 43, 34, 45, 32, 44, 33)(18, 35, 46, 39, 48, 37, 47, 36)(49, 50, 54, 66, 61, 52)(51, 57, 67, 85, 78, 59)(53, 63, 68, 87, 81, 64)(55, 69, 83, 80, 60, 71)(56, 72, 84, 82, 62, 73)(58, 70, 86, 94, 91, 76)(65, 74, 88, 95, 92, 77)(75, 89, 96, 93, 79, 90)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^6 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1026
Transitivity :: ET+
Graph:: simple bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 6^8, 8^6 ]

E17.1023 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1, (T2^-1, T1^-1)^2, (T2 * T1^-1 * T2^2)^2, (T2^-1 * T1^2 * T2^-1)^3 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 42, 24, 13, 21, 39, 48, 43, 25, 36, 23, 41, 47, 38, 20, 6, 19, 37, 35, 17, 5)(2, 7, 22, 40, 32, 14, 4, 12, 30, 46, 33, 15, 28, 9, 27, 45, 34, 16, 18, 11, 31, 44, 26, 8)(49, 50, 54, 66, 84, 76, 61, 52)(51, 57, 67, 60, 71, 55, 69, 59)(53, 63, 68, 62, 73, 56, 72, 64)(58, 70, 85, 79, 89, 75, 87, 78)(65, 74, 86, 82, 91, 81, 90, 80)(77, 93, 83, 94, 95, 88, 96, 92)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 12^8 ), ( 12^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1027
Transitivity :: ET+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 8^6, 24^2 ]

E17.1024 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {6, 8, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2 * T1^-1 * T2 * T1^-3, T1 * T2^-1 * T1^-2 * T2 * T1, T2^6, T2^-2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 17, 5)(2, 7, 22, 44, 26, 8)(4, 12, 30, 39, 35, 14)(6, 19, 40, 34, 41, 20)(9, 27, 47, 32, 15, 28)(11, 18, 38, 36, 16, 31)(13, 24, 43, 21, 42, 33)(23, 37, 48, 46, 25, 45)(49, 50, 54, 66, 85, 75, 90, 83, 65, 74, 89, 79, 93, 76, 91, 78, 58, 70, 88, 84, 94, 80, 61, 52)(51, 57, 67, 87, 96, 92, 81, 64, 53, 63, 68, 60, 71, 55, 69, 86, 77, 95, 82, 62, 73, 56, 72, 59)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 16^6 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1025
Transitivity :: ET+
Graph:: bipartite
	v = 10 e = 48 f = 6
	degree seq :: [ 6^8, 24^2 ]

E17.1025 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-1 * T2^3 * T1, T2^-1 * T1 * T2^-3 * T1^-1, T1 * T2^-1 * T1^-2 * T2 * T1, T1^6, (T1^-1, T2)^2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-3 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 25, 73, 42, 90, 23, 71, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 15, 63, 27, 75, 9, 57, 26, 74, 8, 56)(4, 52, 12, 60, 28, 76, 16, 64, 31, 79, 11, 59, 29, 77, 14, 62)(6, 54, 19, 67, 38, 86, 24, 72, 41, 89, 21, 69, 40, 88, 20, 68)(13, 61, 30, 78, 43, 91, 34, 82, 45, 93, 32, 80, 44, 92, 33, 81)(18, 66, 35, 83, 46, 94, 39, 87, 48, 96, 37, 85, 47, 95, 36, 84)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 61)(19, 85)(20, 87)(21, 83)(22, 86)(23, 55)(24, 84)(25, 56)(26, 88)(27, 89)(28, 58)(29, 65)(30, 59)(31, 90)(32, 60)(33, 64)(34, 62)(35, 80)(36, 82)(37, 78)(38, 94)(39, 81)(40, 95)(41, 96)(42, 75)(43, 76)(44, 77)(45, 79)(46, 91)(47, 92)(48, 93)
	local type(s) :: { ( 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1024
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 6 e = 48 f = 10
	degree seq :: [ 16^6 ]

E17.1026 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2^-1 * T1^-2, T2^2 * T1^-1 * T2^-2 * T1, (T2^-1, T1^-1)^2, (T2 * T1^-1 * T2^2)^2, (T2^-1 * T1^2 * T2^-1)^3 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 42, 90, 24, 72, 13, 61, 21, 69, 39, 87, 48, 96, 43, 91, 25, 73, 36, 84, 23, 71, 41, 89, 47, 95, 38, 86, 20, 68, 6, 54, 19, 67, 37, 85, 35, 83, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 40, 88, 32, 80, 14, 62, 4, 52, 12, 60, 30, 78, 46, 94, 33, 81, 15, 63, 28, 76, 9, 57, 27, 75, 45, 93, 34, 82, 16, 64, 18, 66, 11, 59, 31, 79, 44, 92, 26, 74, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 84)(19, 60)(20, 62)(21, 59)(22, 85)(23, 55)(24, 64)(25, 56)(26, 86)(27, 87)(28, 61)(29, 93)(30, 58)(31, 89)(32, 65)(33, 90)(34, 91)(35, 94)(36, 76)(37, 79)(38, 82)(39, 78)(40, 96)(41, 75)(42, 80)(43, 81)(44, 77)(45, 83)(46, 95)(47, 88)(48, 92)
	local type(s) :: { ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1022
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.1027 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {6, 8, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-2 * T1^-1 * T2^2 * T1, T2 * T1^-1 * T2 * T1^-3, T1 * T2^-1 * T1^-2 * T2 * T1, T2^6, T2^-2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 29, 77, 17, 65, 5, 53)(2, 50, 7, 55, 22, 70, 44, 92, 26, 74, 8, 56)(4, 52, 12, 60, 30, 78, 39, 87, 35, 83, 14, 62)(6, 54, 19, 67, 40, 88, 34, 82, 41, 89, 20, 68)(9, 57, 27, 75, 47, 95, 32, 80, 15, 63, 28, 76)(11, 59, 18, 66, 38, 86, 36, 84, 16, 64, 31, 79)(13, 61, 24, 72, 43, 91, 21, 69, 42, 90, 33, 81)(23, 71, 37, 85, 48, 96, 46, 94, 25, 73, 45, 93)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 63)(6, 66)(7, 69)(8, 72)(9, 67)(10, 70)(11, 51)(12, 71)(13, 52)(14, 73)(15, 68)(16, 53)(17, 74)(18, 85)(19, 87)(20, 60)(21, 86)(22, 88)(23, 55)(24, 59)(25, 56)(26, 89)(27, 90)(28, 91)(29, 95)(30, 58)(31, 93)(32, 61)(33, 64)(34, 62)(35, 65)(36, 94)(37, 75)(38, 77)(39, 96)(40, 84)(41, 79)(42, 83)(43, 78)(44, 81)(45, 76)(46, 80)(47, 82)(48, 92)
	local type(s) :: { ( 8, 24, 8, 24, 8, 24, 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1023
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.1028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y3^-1 * Y2^3, Y2 * Y1^-1 * Y2^3 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y3 * Y2^-3 * Y3^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-3 * Y1^-1, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, Y3^2 * Y2 * Y3^-2 * Y2^-1, Y2 * Y1^2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y1^6, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, (Y1^-1, Y2)^2, (Y3^2 * Y2^2)^12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 37, 85, 30, 78, 11, 59)(5, 53, 15, 63, 20, 68, 39, 87, 33, 81, 16, 64)(7, 55, 21, 69, 35, 83, 32, 80, 12, 60, 23, 71)(8, 56, 24, 72, 36, 84, 34, 82, 14, 62, 25, 73)(10, 58, 22, 70, 38, 86, 46, 94, 43, 91, 28, 76)(17, 65, 26, 74, 40, 88, 47, 95, 44, 92, 29, 77)(27, 75, 41, 89, 48, 96, 45, 93, 31, 79, 42, 90)(97, 145, 99, 147, 106, 154, 121, 169, 138, 186, 119, 167, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 111, 159, 123, 171, 105, 153, 122, 170, 104, 152)(100, 148, 108, 156, 124, 172, 112, 160, 127, 175, 107, 155, 125, 173, 110, 158)(102, 150, 115, 163, 134, 182, 120, 168, 137, 185, 117, 165, 136, 184, 116, 164)(109, 157, 126, 174, 139, 187, 130, 178, 141, 189, 128, 176, 140, 188, 129, 177)(114, 162, 131, 179, 142, 190, 135, 183, 144, 192, 133, 181, 143, 191, 132, 180)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 124)(11, 126)(12, 128)(13, 114)(14, 130)(15, 101)(16, 129)(17, 125)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 138)(28, 139)(29, 140)(30, 133)(31, 141)(32, 131)(33, 135)(34, 132)(35, 117)(36, 120)(37, 115)(38, 118)(39, 116)(40, 122)(41, 123)(42, 127)(43, 142)(44, 143)(45, 144)(46, 134)(47, 136)(48, 137)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1031
Graph:: bipartite
	v = 14 e = 96 f = 50
	degree seq :: [ 12^8, 16^6 ]

E17.1029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, Y1 * Y2^-2 * Y1^-1 * Y2^2, (Y2^-1, Y1^-1)^2, (Y2^-1 * Y1 * Y2^-2)^2, (Y3^-1 * Y1^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 28, 76, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 12, 60, 23, 71, 7, 55, 21, 69, 11, 59)(5, 53, 15, 63, 20, 68, 14, 62, 25, 73, 8, 56, 24, 72, 16, 64)(10, 58, 22, 70, 37, 85, 31, 79, 41, 89, 27, 75, 39, 87, 30, 78)(17, 65, 26, 74, 38, 86, 34, 82, 43, 91, 33, 81, 42, 90, 32, 80)(29, 77, 45, 93, 35, 83, 46, 94, 47, 95, 40, 88, 48, 96, 44, 92)(97, 145, 99, 147, 106, 154, 125, 173, 138, 186, 120, 168, 109, 157, 117, 165, 135, 183, 144, 192, 139, 187, 121, 169, 132, 180, 119, 167, 137, 185, 143, 191, 134, 182, 116, 164, 102, 150, 115, 163, 133, 181, 131, 179, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 136, 184, 128, 176, 110, 158, 100, 148, 108, 156, 126, 174, 142, 190, 129, 177, 111, 159, 124, 172, 105, 153, 123, 171, 141, 189, 130, 178, 112, 160, 114, 162, 107, 155, 127, 175, 140, 188, 122, 170, 104, 152)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 117)(14, 100)(15, 124)(16, 114)(17, 101)(18, 107)(19, 133)(20, 102)(21, 135)(22, 136)(23, 137)(24, 109)(25, 132)(26, 104)(27, 141)(28, 105)(29, 138)(30, 142)(31, 140)(32, 110)(33, 111)(34, 112)(35, 113)(36, 119)(37, 131)(38, 116)(39, 144)(40, 128)(41, 143)(42, 120)(43, 121)(44, 122)(45, 130)(46, 129)(47, 134)(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, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1030
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 16^6, 48^2 ]

E17.1030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2 * Y3^-1 * Y2^-2 * Y3 * Y2, Y3^2 * Y2^-1 * Y3^-2 * Y2, Y2^6, Y2^-1 * Y3^3 * Y2^-1 * Y3 * Y2^-2, (Y3^-1 * Y1^-1)^24 ]
Map::
	R = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)(97, 145, 98, 146, 102, 150, 114, 162, 109, 157, 100, 148)(99, 147, 105, 153, 115, 163, 135, 183, 128, 176, 107, 155)(101, 149, 111, 159, 116, 164, 137, 185, 131, 179, 112, 160)(103, 151, 117, 165, 133, 181, 130, 178, 108, 156, 119, 167)(104, 152, 120, 168, 134, 182, 125, 173, 110, 158, 121, 169)(106, 154, 118, 166, 136, 184, 132, 180, 142, 190, 126, 174)(113, 161, 122, 170, 138, 186, 127, 175, 140, 188, 123, 171)(124, 172, 139, 187, 144, 192, 143, 191, 129, 177, 141, 189)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 128)(14, 100)(15, 124)(16, 129)(17, 101)(18, 133)(19, 136)(20, 102)(21, 113)(22, 112)(23, 140)(24, 139)(25, 141)(26, 104)(27, 110)(28, 105)(29, 143)(30, 137)(31, 134)(32, 142)(33, 107)(34, 138)(35, 109)(36, 111)(37, 132)(38, 114)(39, 122)(40, 121)(41, 144)(42, 116)(43, 117)(44, 131)(45, 119)(46, 120)(47, 130)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48, 16, 48, 16, 48, 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1029
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.1031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-3, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1^5 * Y3^-1 * Y1^-1 * Y3^-1, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3^-3 * Y1^-1 * Y3^-1 * Y1^-3, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 37, 85, 27, 75, 42, 90, 35, 83, 17, 65, 26, 74, 41, 89, 31, 79, 45, 93, 28, 76, 43, 91, 30, 78, 10, 58, 22, 70, 40, 88, 36, 84, 46, 94, 32, 80, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 48, 96, 44, 92, 33, 81, 16, 64, 5, 53, 15, 63, 20, 68, 12, 60, 23, 71, 7, 55, 21, 69, 38, 86, 29, 77, 47, 95, 34, 82, 14, 62, 25, 73, 8, 56, 24, 72, 11, 59)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 114)(12, 126)(13, 120)(14, 100)(15, 124)(16, 127)(17, 101)(18, 134)(19, 136)(20, 102)(21, 138)(22, 140)(23, 133)(24, 139)(25, 141)(26, 104)(27, 143)(28, 105)(29, 113)(30, 135)(31, 107)(32, 111)(33, 109)(34, 137)(35, 110)(36, 112)(37, 144)(38, 132)(39, 131)(40, 130)(41, 116)(42, 129)(43, 117)(44, 122)(45, 119)(46, 121)(47, 128)(48, 142)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12, 16 ), ( 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16, 12, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1028
Graph:: simple bipartite
	v = 50 e = 96 f = 14
	degree seq :: [ 2^48, 48^2 ]

E17.1032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, Y2 * Y1^-1 * Y2^3 * Y1^-1, Y3 * Y2^2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-3 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8, (Y1 * Y2^-1 * Y1)^8 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 39, 87, 30, 78, 11, 59)(5, 53, 15, 63, 20, 68, 41, 89, 33, 81, 16, 64)(7, 55, 21, 69, 37, 85, 32, 80, 12, 60, 23, 71)(8, 56, 24, 72, 38, 86, 34, 82, 14, 62, 25, 73)(10, 58, 22, 70, 40, 88, 36, 84, 46, 94, 29, 77)(17, 65, 26, 74, 42, 90, 27, 75, 43, 91, 35, 83)(28, 76, 44, 92, 48, 96, 47, 95, 31, 79, 45, 93)(97, 145, 99, 147, 106, 154, 120, 168, 140, 188, 117, 165, 139, 187, 129, 177, 109, 157, 126, 174, 142, 190, 121, 169, 141, 189, 119, 167, 138, 186, 116, 164, 102, 150, 115, 163, 136, 184, 130, 178, 143, 191, 128, 176, 113, 161, 101, 149)(98, 146, 103, 151, 118, 166, 137, 185, 144, 192, 135, 183, 131, 179, 110, 158, 100, 148, 108, 156, 125, 173, 111, 159, 124, 172, 105, 153, 123, 171, 134, 182, 114, 162, 133, 181, 132, 180, 112, 160, 127, 175, 107, 155, 122, 170, 104, 152)
	L = (1, 100)(2, 97)(3, 107)(4, 109)(5, 112)(6, 98)(7, 119)(8, 121)(9, 99)(10, 125)(11, 126)(12, 128)(13, 114)(14, 130)(15, 101)(16, 129)(17, 131)(18, 102)(19, 105)(20, 111)(21, 103)(22, 106)(23, 108)(24, 104)(25, 110)(26, 113)(27, 138)(28, 141)(29, 142)(30, 135)(31, 143)(32, 133)(33, 137)(34, 134)(35, 139)(36, 136)(37, 117)(38, 120)(39, 115)(40, 118)(41, 116)(42, 122)(43, 123)(44, 124)(45, 127)(46, 132)(47, 144)(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, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1033
Graph:: bipartite
	v = 10 e = 96 f = 54
	degree seq :: [ 12^8, 48^2 ]

E17.1033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {6, 8, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^2, Y3 * Y1^3 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y1 * Y3^-2 * Y1^-1 * Y3^2, (Y3^3 * Y1^-1)^2, (Y3^-2 * Y1^2)^3, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 18, 66, 36, 84, 28, 76, 13, 61, 4, 52)(3, 51, 9, 57, 19, 67, 12, 60, 23, 71, 7, 55, 21, 69, 11, 59)(5, 53, 15, 63, 20, 68, 14, 62, 25, 73, 8, 56, 24, 72, 16, 64)(10, 58, 22, 70, 37, 85, 31, 79, 41, 89, 27, 75, 39, 87, 30, 78)(17, 65, 26, 74, 38, 86, 34, 82, 43, 91, 33, 81, 42, 90, 32, 80)(29, 77, 45, 93, 35, 83, 46, 94, 47, 95, 40, 88, 48, 96, 44, 92)(97, 145)(98, 146)(99, 147)(100, 148)(101, 149)(102, 150)(103, 151)(104, 152)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 161)(114, 162)(115, 163)(116, 164)(117, 165)(118, 166)(119, 167)(120, 168)(121, 169)(122, 170)(123, 171)(124, 172)(125, 173)(126, 174)(127, 175)(128, 176)(129, 177)(130, 178)(131, 179)(132, 180)(133, 181)(134, 182)(135, 183)(136, 184)(137, 185)(138, 186)(139, 187)(140, 188)(141, 189)(142, 190)(143, 191)(144, 192)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 125)(11, 127)(12, 126)(13, 117)(14, 100)(15, 124)(16, 114)(17, 101)(18, 107)(19, 133)(20, 102)(21, 135)(22, 136)(23, 137)(24, 109)(25, 132)(26, 104)(27, 141)(28, 105)(29, 138)(30, 142)(31, 140)(32, 110)(33, 111)(34, 112)(35, 113)(36, 119)(37, 131)(38, 116)(39, 144)(40, 128)(41, 143)(42, 120)(43, 121)(44, 122)(45, 130)(46, 129)(47, 134)(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) :: { ( 12, 48 ), ( 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48, 12, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1032
Graph:: simple bipartite
	v = 54 e = 96 f = 10
	degree seq :: [ 2^48, 16^6 ]

E17.1034 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 24, 24})
Quotient :: edge
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^12 * T1^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 43, 35, 27, 19, 11, 4, 10, 18, 26, 34, 42, 48, 40, 32, 24, 16, 8)(49, 50, 54, 52)(51, 55, 61, 58)(53, 56, 62, 59)(57, 63, 69, 66)(60, 64, 70, 67)(65, 71, 77, 74)(68, 72, 78, 75)(73, 79, 85, 82)(76, 80, 86, 83)(81, 87, 93, 90)(84, 88, 94, 91)(89, 95, 92, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1035
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.1035 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 24, 24})
Quotient :: loop
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ F^2, T1^4, (T2^-1, T1), (F * T2)^2, (F * T1)^2, T2^12 * T1^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 46, 94, 38, 86, 30, 78, 22, 70, 14, 62, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 47, 95, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 48, 96, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)
	L = (1, 50)(2, 54)(3, 55)(4, 49)(5, 56)(6, 52)(7, 61)(8, 62)(9, 63)(10, 51)(11, 53)(12, 64)(13, 58)(14, 59)(15, 69)(16, 70)(17, 71)(18, 57)(19, 60)(20, 72)(21, 66)(22, 67)(23, 77)(24, 78)(25, 79)(26, 65)(27, 68)(28, 80)(29, 74)(30, 75)(31, 85)(32, 86)(33, 87)(34, 73)(35, 76)(36, 88)(37, 82)(38, 83)(39, 93)(40, 94)(41, 95)(42, 81)(43, 84)(44, 96)(45, 90)(46, 91)(47, 92)(48, 89)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1034
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.1036 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y2^-1, Y1), (Y3^-1, Y2^-1), Y2^12 * Y1^2, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 7, 55, 13, 61, 10, 58)(5, 53, 8, 56, 14, 62, 11, 59)(9, 57, 15, 63, 21, 69, 18, 66)(12, 60, 16, 64, 22, 70, 19, 67)(17, 65, 23, 71, 29, 77, 26, 74)(20, 68, 24, 72, 30, 78, 27, 75)(25, 73, 31, 79, 37, 85, 34, 82)(28, 76, 32, 80, 38, 86, 35, 83)(33, 81, 39, 87, 45, 93, 42, 90)(36, 84, 40, 88, 46, 94, 43, 91)(41, 89, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 142, 190, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 143, 191, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155, 100, 148, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 144, 192, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)
	L = (1, 100)(2, 97)(3, 106)(4, 102)(5, 107)(6, 98)(7, 99)(8, 101)(9, 114)(10, 109)(11, 110)(12, 115)(13, 103)(14, 104)(15, 105)(16, 108)(17, 122)(18, 117)(19, 118)(20, 123)(21, 111)(22, 112)(23, 113)(24, 116)(25, 130)(26, 125)(27, 126)(28, 131)(29, 119)(30, 120)(31, 121)(32, 124)(33, 138)(34, 133)(35, 134)(36, 139)(37, 127)(38, 128)(39, 129)(40, 132)(41, 144)(42, 141)(43, 142)(44, 143)(45, 135)(46, 136)(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) :: { ( 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1037
Graph:: bipartite
	v = 14 e = 96 f = 50
	degree seq :: [ 8^12, 48^2 ]

E17.1037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 24, 24})
Quotient :: dipole
Aut^+ = C24 x C2 (small group id <48, 23>)
Aut   = C2 x D48 (small group id <96, 110>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^-2 * Y1^-12 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 41, 89, 33, 81, 25, 73, 17, 65, 9, 57, 16, 64, 24, 72, 32, 80, 40, 88, 48, 96, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52)(3, 51, 7, 55, 14, 62, 22, 70, 30, 78, 38, 86, 46, 94, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53, 8, 56, 15, 63, 23, 71, 31, 79, 39, 87, 47, 95, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58)(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, 105)(4, 106)(5, 97)(6, 110)(7, 112)(8, 98)(9, 101)(10, 113)(11, 114)(12, 100)(13, 118)(14, 120)(15, 102)(16, 104)(17, 108)(18, 121)(19, 122)(20, 107)(21, 126)(22, 128)(23, 109)(24, 111)(25, 116)(26, 129)(27, 130)(28, 115)(29, 134)(30, 136)(31, 117)(32, 119)(33, 124)(34, 137)(35, 138)(36, 123)(37, 142)(38, 144)(39, 125)(40, 127)(41, 132)(42, 141)(43, 143)(44, 131)(45, 140)(46, 139)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1036
Graph:: simple bipartite
	v = 50 e = 96 f = 14
	degree seq :: [ 2^48, 48^2 ]

E17.1038 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 24, 24})
Quotient :: edge
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, (T2^5 * T1 * T2)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 43, 35, 27, 19, 11, 4, 9, 17, 25, 33, 41, 48, 40, 32, 24, 16, 8)(49, 50, 54, 52)(51, 57, 61, 55)(53, 59, 62, 56)(58, 63, 69, 65)(60, 64, 70, 67)(66, 73, 77, 71)(68, 75, 78, 72)(74, 79, 85, 81)(76, 80, 86, 83)(82, 89, 93, 87)(84, 91, 94, 88)(90, 95, 92, 96)
	L = (1, 49)(2, 50)(3, 51)(4, 52)(5, 53)(6, 54)(7, 55)(8, 56)(9, 57)(10, 58)(11, 59)(12, 60)(13, 61)(14, 62)(15, 63)(16, 64)(17, 65)(18, 66)(19, 67)(20, 68)(21, 69)(22, 70)(23, 71)(24, 72)(25, 73)(26, 74)(27, 75)(28, 76)(29, 77)(30, 78)(31, 79)(32, 80)(33, 81)(34, 82)(35, 83)(36, 84)(37, 85)(38, 86)(39, 87)(40, 88)(41, 89)(42, 90)(43, 91)(44, 92)(45, 93)(46, 94)(47, 95)(48, 96)
	local type(s) :: { ( 48^4 ), ( 48^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1039
Transitivity :: ET+
Graph:: bipartite
	v = 14 e = 48 f = 2
	degree seq :: [ 4^12, 24^2 ]

E17.1039 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 24, 24})
Quotient :: loop
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-1 * T1^-1, (T2^5 * T1 * T2)^2 ]
Map:: non-degenerate
	R = (1, 49, 3, 51, 10, 58, 18, 66, 26, 74, 34, 82, 42, 90, 46, 94, 38, 86, 30, 78, 22, 70, 14, 62, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 5, 53)(2, 50, 7, 55, 15, 63, 23, 71, 31, 79, 39, 87, 47, 95, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 4, 52, 9, 57, 17, 65, 25, 73, 33, 81, 41, 89, 48, 96, 40, 88, 32, 80, 24, 72, 16, 64, 8, 56)
	L = (1, 50)(2, 54)(3, 57)(4, 49)(5, 59)(6, 52)(7, 51)(8, 53)(9, 61)(10, 63)(11, 62)(12, 64)(13, 55)(14, 56)(15, 69)(16, 70)(17, 58)(18, 73)(19, 60)(20, 75)(21, 65)(22, 67)(23, 66)(24, 68)(25, 77)(26, 79)(27, 78)(28, 80)(29, 71)(30, 72)(31, 85)(32, 86)(33, 74)(34, 89)(35, 76)(36, 91)(37, 81)(38, 83)(39, 82)(40, 84)(41, 93)(42, 95)(43, 94)(44, 96)(45, 87)(46, 88)(47, 92)(48, 90)
	local type(s) :: { ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1038
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 48 f = 14
	degree seq :: [ 48^2 ]

E17.1040 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y3 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^11 * Y3^-2 * Y2, (Y2^-1 * Y1)^24 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 4, 52)(3, 51, 9, 57, 13, 61, 7, 55)(5, 53, 11, 59, 14, 62, 8, 56)(10, 58, 15, 63, 21, 69, 17, 65)(12, 60, 16, 64, 22, 70, 19, 67)(18, 66, 25, 73, 29, 77, 23, 71)(20, 68, 27, 75, 30, 78, 24, 72)(26, 74, 31, 79, 37, 85, 33, 81)(28, 76, 32, 80, 38, 86, 35, 83)(34, 82, 41, 89, 45, 93, 39, 87)(36, 84, 43, 91, 46, 94, 40, 88)(42, 90, 47, 95, 44, 92, 48, 96)(97, 145, 99, 147, 106, 154, 114, 162, 122, 170, 130, 178, 138, 186, 142, 190, 134, 182, 126, 174, 118, 166, 110, 158, 102, 150, 109, 157, 117, 165, 125, 173, 133, 181, 141, 189, 140, 188, 132, 180, 124, 172, 116, 164, 108, 156, 101, 149)(98, 146, 103, 151, 111, 159, 119, 167, 127, 175, 135, 183, 143, 191, 139, 187, 131, 179, 123, 171, 115, 163, 107, 155, 100, 148, 105, 153, 113, 161, 121, 169, 129, 177, 137, 185, 144, 192, 136, 184, 128, 176, 120, 168, 112, 160, 104, 152)
	L = (1, 100)(2, 97)(3, 103)(4, 102)(5, 104)(6, 98)(7, 109)(8, 110)(9, 99)(10, 113)(11, 101)(12, 115)(13, 105)(14, 107)(15, 106)(16, 108)(17, 117)(18, 119)(19, 118)(20, 120)(21, 111)(22, 112)(23, 125)(24, 126)(25, 114)(26, 129)(27, 116)(28, 131)(29, 121)(30, 123)(31, 122)(32, 124)(33, 133)(34, 135)(35, 134)(36, 136)(37, 127)(38, 128)(39, 141)(40, 142)(41, 130)(42, 144)(43, 132)(44, 143)(45, 137)(46, 139)(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) :: { ( 2, 48, 2, 48, 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1041
Graph:: bipartite
	v = 14 e = 96 f = 50
	degree seq :: [ 8^12, 48^2 ]

E17.1041 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 24, 24})
Quotient :: dipole
Aut^+ = C3 x (C8 : C2) (small group id <48, 24>)
Aut   = (C2 x D24) : C2 (small group id <96, 115>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y1^-1 * Y3^-1 * Y1^-4 * Y3^-1 * Y1^-7, (Y3 * Y1^4 * Y3)^3 ]
Map::
	R = (1, 49, 2, 50, 6, 54, 13, 61, 21, 69, 29, 77, 37, 85, 45, 93, 41, 89, 33, 81, 25, 73, 17, 65, 9, 57, 16, 64, 24, 72, 32, 80, 40, 88, 48, 96, 44, 92, 36, 84, 28, 76, 20, 68, 12, 60, 4, 52)(3, 51, 8, 56, 14, 62, 23, 71, 30, 78, 39, 87, 46, 94, 43, 91, 35, 83, 27, 75, 19, 67, 11, 59, 5, 53, 7, 55, 15, 63, 22, 70, 31, 79, 38, 86, 47, 95, 42, 90, 34, 82, 26, 74, 18, 66, 10, 58)(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, 105)(4, 107)(5, 97)(6, 110)(7, 112)(8, 98)(9, 101)(10, 100)(11, 113)(12, 114)(13, 118)(14, 120)(15, 102)(16, 104)(17, 106)(18, 121)(19, 108)(20, 123)(21, 126)(22, 128)(23, 109)(24, 111)(25, 115)(26, 116)(27, 129)(28, 130)(29, 134)(30, 136)(31, 117)(32, 119)(33, 122)(34, 137)(35, 124)(36, 139)(37, 142)(38, 144)(39, 125)(40, 127)(41, 131)(42, 132)(43, 141)(44, 143)(45, 138)(46, 140)(47, 133)(48, 135)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8, 48 ), ( 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48, 8, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1040
Graph:: simple bipartite
	v = 50 e = 96 f = 14
	degree seq :: [ 2^48, 48^2 ]

E17.1042 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 51, 51})
Quotient :: edge
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-17 * T1^-1, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 3, 8, 14, 20, 26, 32, 38, 44, 50, 46, 40, 34, 28, 22, 16, 10, 4, 9, 15, 21, 27, 33, 39, 45, 51, 49, 43, 37, 31, 25, 19, 13, 7, 2, 6, 12, 18, 24, 30, 36, 42, 48, 47, 41, 35, 29, 23, 17, 11, 5)(52, 53, 55)(54, 57, 60)(56, 58, 61)(59, 63, 66)(62, 64, 67)(65, 69, 72)(68, 70, 73)(71, 75, 78)(74, 76, 79)(77, 81, 84)(80, 82, 85)(83, 87, 90)(86, 88, 91)(89, 93, 96)(92, 94, 97)(95, 99, 102)(98, 100, 101)
	L = (1, 52)(2, 53)(3, 54)(4, 55)(5, 56)(6, 57)(7, 58)(8, 59)(9, 60)(10, 61)(11, 62)(12, 63)(13, 64)(14, 65)(15, 66)(16, 67)(17, 68)(18, 69)(19, 70)(20, 71)(21, 72)(22, 73)(23, 74)(24, 75)(25, 76)(26, 77)(27, 78)(28, 79)(29, 80)(30, 81)(31, 82)(32, 83)(33, 84)(34, 85)(35, 86)(36, 87)(37, 88)(38, 89)(39, 90)(40, 91)(41, 92)(42, 93)(43, 94)(44, 95)(45, 96)(46, 97)(47, 98)(48, 99)(49, 100)(50, 101)(51, 102)
	local type(s) :: { ( 102^3 ), ( 102^51 ) }
Outer automorphisms :: reflexible
Dual of E17.1043
Transitivity :: ET+
Graph:: bipartite
	v = 18 e = 51 f = 1
	degree seq :: [ 3^17, 51 ]

E17.1043 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 51, 51})
Quotient :: loop
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2^-1, T1^-1), T2^-17 * T1^-1, (T1^-1 * T2^-1)^51 ]
Map:: non-degenerate
	R = (1, 52, 3, 54, 8, 59, 14, 65, 20, 71, 26, 77, 32, 83, 38, 89, 44, 95, 50, 101, 46, 97, 40, 91, 34, 85, 28, 79, 22, 73, 16, 67, 10, 61, 4, 55, 9, 60, 15, 66, 21, 72, 27, 78, 33, 84, 39, 90, 45, 96, 51, 102, 49, 100, 43, 94, 37, 88, 31, 82, 25, 76, 19, 70, 13, 64, 7, 58, 2, 53, 6, 57, 12, 63, 18, 69, 24, 75, 30, 81, 36, 87, 42, 93, 48, 99, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62, 5, 56)
	L = (1, 53)(2, 55)(3, 57)(4, 52)(5, 58)(6, 60)(7, 61)(8, 63)(9, 54)(10, 56)(11, 64)(12, 66)(13, 67)(14, 69)(15, 59)(16, 62)(17, 70)(18, 72)(19, 73)(20, 75)(21, 65)(22, 68)(23, 76)(24, 78)(25, 79)(26, 81)(27, 71)(28, 74)(29, 82)(30, 84)(31, 85)(32, 87)(33, 77)(34, 80)(35, 88)(36, 90)(37, 91)(38, 93)(39, 83)(40, 86)(41, 94)(42, 96)(43, 97)(44, 99)(45, 89)(46, 92)(47, 100)(48, 102)(49, 101)(50, 98)(51, 95)
	local type(s) :: { ( 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51, 3, 51 ) }
Outer automorphisms :: reflexible
Dual of E17.1042
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 51 f = 18
	degree seq :: [ 102 ]

E17.1044 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y3^-1, Y2^-1), (Y2, Y1^-1), Y2^-17 * Y1^-1, Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 52, 2, 53, 4, 55)(3, 54, 6, 57, 9, 60)(5, 56, 7, 58, 10, 61)(8, 59, 12, 63, 15, 66)(11, 62, 13, 64, 16, 67)(14, 65, 18, 69, 21, 72)(17, 68, 19, 70, 22, 73)(20, 71, 24, 75, 27, 78)(23, 74, 25, 76, 28, 79)(26, 77, 30, 81, 33, 84)(29, 80, 31, 82, 34, 85)(32, 83, 36, 87, 39, 90)(35, 86, 37, 88, 40, 91)(38, 89, 42, 93, 45, 96)(41, 92, 43, 94, 46, 97)(44, 95, 48, 99, 51, 102)(47, 98, 49, 100, 50, 101)(103, 154, 105, 156, 110, 161, 116, 167, 122, 173, 128, 179, 134, 185, 140, 191, 146, 197, 152, 203, 148, 199, 142, 193, 136, 187, 130, 181, 124, 175, 118, 169, 112, 163, 106, 157, 111, 162, 117, 168, 123, 174, 129, 180, 135, 186, 141, 192, 147, 198, 153, 204, 151, 202, 145, 196, 139, 190, 133, 184, 127, 178, 121, 172, 115, 166, 109, 160, 104, 155, 108, 159, 114, 165, 120, 171, 126, 177, 132, 183, 138, 189, 144, 195, 150, 201, 149, 200, 143, 194, 137, 188, 131, 182, 125, 176, 119, 170, 113, 164, 107, 158)
	L = (1, 106)(2, 103)(3, 111)(4, 104)(5, 112)(6, 105)(7, 107)(8, 117)(9, 108)(10, 109)(11, 118)(12, 110)(13, 113)(14, 123)(15, 114)(16, 115)(17, 124)(18, 116)(19, 119)(20, 129)(21, 120)(22, 121)(23, 130)(24, 122)(25, 125)(26, 135)(27, 126)(28, 127)(29, 136)(30, 128)(31, 131)(32, 141)(33, 132)(34, 133)(35, 142)(36, 134)(37, 137)(38, 147)(39, 138)(40, 139)(41, 148)(42, 140)(43, 143)(44, 153)(45, 144)(46, 145)(47, 152)(48, 146)(49, 149)(50, 151)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 2, 102, 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E17.1045
Graph:: bipartite
	v = 18 e = 102 f = 52
	degree seq :: [ 6^17, 102 ]

E17.1045 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 51, 51})
Quotient :: dipole
Aut^+ = C51 (small group id <51, 1>)
Aut   = D102 (small group id <102, 3>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3, Y1), (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^-17, (Y1^-1 * Y3^-1)^51 ]
Map::
	R = (1, 52, 2, 53, 6, 57, 12, 63, 18, 69, 24, 75, 30, 81, 36, 87, 42, 93, 48, 99, 47, 98, 41, 92, 35, 86, 29, 80, 23, 74, 17, 68, 11, 62, 5, 56, 8, 59, 14, 65, 20, 71, 26, 77, 32, 83, 38, 89, 44, 95, 50, 101, 51, 102, 45, 96, 39, 90, 33, 84, 27, 78, 21, 72, 15, 66, 9, 60, 3, 54, 7, 58, 13, 64, 19, 70, 25, 76, 31, 82, 37, 88, 43, 94, 49, 100, 46, 97, 40, 91, 34, 85, 28, 79, 22, 73, 16, 67, 10, 61, 4, 55)(103, 154)(104, 155)(105, 156)(106, 157)(107, 158)(108, 159)(109, 160)(110, 161)(111, 162)(112, 163)(113, 164)(114, 165)(115, 166)(116, 167)(117, 168)(118, 169)(119, 170)(120, 171)(121, 172)(122, 173)(123, 174)(124, 175)(125, 176)(126, 177)(127, 178)(128, 179)(129, 180)(130, 181)(131, 182)(132, 183)(133, 184)(134, 185)(135, 186)(136, 187)(137, 188)(138, 189)(139, 190)(140, 191)(141, 192)(142, 193)(143, 194)(144, 195)(145, 196)(146, 197)(147, 198)(148, 199)(149, 200)(150, 201)(151, 202)(152, 203)(153, 204)
	L = (1, 105)(2, 109)(3, 107)(4, 111)(5, 103)(6, 115)(7, 110)(8, 104)(9, 113)(10, 117)(11, 106)(12, 121)(13, 116)(14, 108)(15, 119)(16, 123)(17, 112)(18, 127)(19, 122)(20, 114)(21, 125)(22, 129)(23, 118)(24, 133)(25, 128)(26, 120)(27, 131)(28, 135)(29, 124)(30, 139)(31, 134)(32, 126)(33, 137)(34, 141)(35, 130)(36, 145)(37, 140)(38, 132)(39, 143)(40, 147)(41, 136)(42, 151)(43, 146)(44, 138)(45, 149)(46, 153)(47, 142)(48, 148)(49, 152)(50, 144)(51, 150)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 6, 102 ), ( 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102, 6, 102 ) }
Outer automorphisms :: reflexible
Dual of E17.1044
Graph:: bipartite
	v = 52 e = 102 f = 18
	degree seq :: [ 2^51, 102 ]

E17.1046 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {7, 7, 7})
Quotient :: edge
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = (C2 x C2 x C2) : C7 (small group id <56, 11>)
|r| :: 1
Presentation :: [ (X2 * X1^-2)^2, X1^-2 * X2^-2 * X1 * X2^-1, X1 * X2 * X1^-2 * X2^-1 * X1^-1 * X2, X2^7, X1^7 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 37, 13, 4)(3, 9, 27, 22, 41, 20, 11)(5, 15, 36, 54, 52, 35, 16)(7, 21, 28, 47, 51, 40, 23)(8, 24, 12, 34, 31, 10, 25)(14, 38, 53, 49, 44, 48, 39)(17, 19, 46, 33, 55, 56, 43)(26, 45, 30, 50, 29, 42, 32)(57, 59, 66, 86, 100, 73, 61)(58, 63, 78, 105, 108, 82, 64)(60, 68, 91, 102, 106, 79, 70)(62, 75, 103, 110, 87, 94, 76)(65, 84, 80, 99, 93, 109, 85)(67, 88, 69, 92, 104, 77, 89)(71, 96, 74, 101, 111, 90, 83)(72, 97, 112, 95, 81, 107, 98)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14^7 ) }
Outer automorphisms :: chiral
Dual of E17.1049
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 56 f = 8
	degree seq :: [ 7^16 ]

E17.1047 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {7, 7, 7})
Quotient :: edge
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = (C2 x C2 x C2) : C7 (small group id <56, 11>)
|r| :: 1
Presentation :: [ X2^2 * X1^-2 * X2^-1 * X1^-1, (X1^-1 * X2^-2)^2, X1 * X2^2 * X1^-1 * X2 * X1 * X2^-1, X2^7, X1^7 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 18, 38, 13, 4)(3, 9, 27, 49, 46, 33, 11)(5, 15, 41, 56, 53, 43, 16)(7, 21, 10, 30, 54, 42, 23)(8, 24, 28, 37, 31, 52, 25)(12, 35, 55, 32, 20, 48, 36)(14, 40, 44, 45, 50, 29, 26)(17, 39, 51, 47, 19, 34, 22)(57, 59, 66, 87, 100, 73, 61)(58, 63, 78, 91, 97, 82, 64)(60, 68, 83, 109, 103, 86, 70)(62, 75, 85, 65, 84, 72, 76)(67, 88, 110, 94, 112, 108, 90)(69, 93, 111, 106, 79, 105, 95)(71, 89, 96, 104, 107, 80, 98)(74, 101, 99, 77, 92, 81, 102)
	L = (1, 57)(2, 58)(3, 59)(4, 60)(5, 61)(6, 62)(7, 63)(8, 64)(9, 65)(10, 66)(11, 67)(12, 68)(13, 69)(14, 70)(15, 71)(16, 72)(17, 73)(18, 74)(19, 75)(20, 76)(21, 77)(22, 78)(23, 79)(24, 80)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 89)(34, 90)(35, 91)(36, 92)(37, 93)(38, 94)(39, 95)(40, 96)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 105)(50, 106)(51, 107)(52, 108)(53, 109)(54, 110)(55, 111)(56, 112)
	local type(s) :: { ( 14^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 56 f = 8
	degree seq :: [ 7^16 ]

E17.1048 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {7, 7, 7})
Quotient :: loop
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = (C2 x C2 x C2) : C7 (small group id <56, 11>)
|r| :: 1
Presentation :: [ (X2 * X1^-1)^2, X1^7, X2^7, X1^2 * X2 * X1 * X2^3, X1^2 * X2^2 * X1 * X2 * X1, (X2^2 * X1^-2)^2, (X2, X1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 6, 62, 16, 72, 31, 87, 12, 68, 4, 60)(3, 59, 9, 65, 23, 79, 34, 90, 45, 101, 21, 77, 8, 64)(5, 61, 11, 67, 28, 84, 49, 105, 24, 80, 36, 92, 14, 70)(7, 63, 19, 75, 38, 94, 15, 71, 35, 91, 41, 97, 18, 74)(10, 66, 26, 82, 37, 93, 48, 104, 53, 109, 42, 98, 25, 81)(13, 69, 30, 86, 51, 107, 55, 111, 50, 106, 27, 83, 33, 89)(17, 73, 39, 95, 47, 103, 22, 78, 44, 100, 29, 85, 40, 96)(20, 76, 32, 88, 46, 102, 54, 110, 56, 112, 52, 108, 43, 99)
	L = (1, 59)(2, 63)(3, 66)(4, 67)(5, 57)(6, 73)(7, 76)(8, 58)(9, 80)(10, 83)(11, 85)(12, 86)(13, 60)(14, 91)(15, 61)(16, 93)(17, 89)(18, 62)(19, 90)(20, 92)(21, 100)(22, 64)(23, 94)(24, 88)(25, 65)(26, 87)(27, 95)(28, 106)(29, 99)(30, 97)(31, 102)(32, 68)(33, 101)(34, 69)(35, 107)(36, 104)(37, 70)(38, 103)(39, 71)(40, 72)(41, 81)(42, 74)(43, 75)(44, 84)(45, 110)(46, 77)(47, 109)(48, 78)(49, 79)(50, 82)(51, 108)(52, 96)(53, 112)(54, 98)(55, 105)(56, 111)
	local type(s) :: { ( 7^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 8 e = 56 f = 16
	degree seq :: [ 14^8 ]

E17.1049 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {7, 7, 7})
Quotient :: loop
Aut^+ = (C2 x C2 x C2) : C7 (small group id <56, 11>)
Aut   = (C2 x C2 x C2) : C7 (small group id <56, 11>)
|r| :: 1
Presentation :: [ (X2 * X1^-2)^2, X1^-2 * X2^-2 * X1 * X2^-1, X1 * X2 * X1^-2 * X2^-1 * X1^-1 * X2, X2^7, X1^7 ]
Map:: polytopal non-degenerate
	R = (1, 57, 2, 58, 6, 62, 18, 74, 37, 93, 13, 69, 4, 60)(3, 59, 9, 65, 27, 83, 22, 78, 41, 97, 20, 76, 11, 67)(5, 61, 15, 71, 36, 92, 54, 110, 52, 108, 35, 91, 16, 72)(7, 63, 21, 77, 28, 84, 47, 103, 51, 107, 40, 96, 23, 79)(8, 64, 24, 80, 12, 68, 34, 90, 31, 87, 10, 66, 25, 81)(14, 70, 38, 94, 53, 109, 49, 105, 44, 100, 48, 104, 39, 95)(17, 73, 19, 75, 46, 102, 33, 89, 55, 111, 56, 112, 43, 99)(26, 82, 45, 101, 30, 86, 50, 106, 29, 85, 42, 98, 32, 88)
	L = (1, 59)(2, 63)(3, 66)(4, 68)(5, 57)(6, 75)(7, 78)(8, 58)(9, 84)(10, 86)(11, 88)(12, 91)(13, 92)(14, 60)(15, 96)(16, 97)(17, 61)(18, 101)(19, 103)(20, 62)(21, 89)(22, 105)(23, 70)(24, 99)(25, 107)(26, 64)(27, 71)(28, 80)(29, 65)(30, 100)(31, 94)(32, 69)(33, 67)(34, 83)(35, 102)(36, 104)(37, 109)(38, 76)(39, 81)(40, 74)(41, 112)(42, 72)(43, 93)(44, 73)(45, 111)(46, 106)(47, 110)(48, 77)(49, 108)(50, 79)(51, 98)(52, 82)(53, 85)(54, 87)(55, 90)(56, 95)
	local type(s) :: { ( 7^14 ) }
Outer automorphisms :: chiral
Dual of E17.1046
Transitivity :: ET+ VT+
Graph::
	v = 8 e = 56 f = 16
	degree seq :: [ 14^8 ]

E17.1050 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 15, 15})
Quotient :: edge
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-4 * T1, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^3 * T1 * T2 * T1^-1 * T2 * T1, (T2^-1, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 19, 47, 57, 42, 56, 60, 54, 31, 41, 15, 5)(2, 6, 17, 43, 32, 55, 59, 51, 40, 53, 28, 10, 27, 21, 7)(4, 11, 30, 36, 13, 35, 52, 24, 50, 58, 46, 18, 45, 34, 12)(8, 22, 49, 20, 48, 29, 44, 38, 14, 37, 16, 26, 39, 33, 23)(61, 62, 64)(63, 68, 70)(65, 73, 74)(66, 76, 78)(67, 79, 80)(69, 84, 86)(71, 89, 91)(72, 92, 93)(75, 99, 100)(77, 102, 104)(81, 98, 110)(82, 90, 111)(83, 107, 106)(85, 103, 96)(87, 105, 101)(88, 108, 95)(94, 109, 116)(97, 115, 114)(112, 117, 119)(113, 118, 120)
	L = (1, 61)(2, 62)(3, 63)(4, 64)(5, 65)(6, 66)(7, 67)(8, 68)(9, 69)(10, 70)(11, 71)(12, 72)(13, 73)(14, 74)(15, 75)(16, 76)(17, 77)(18, 78)(19, 79)(20, 80)(21, 81)(22, 82)(23, 83)(24, 84)(25, 85)(26, 86)(27, 87)(28, 88)(29, 89)(30, 90)(31, 91)(32, 92)(33, 93)(34, 94)(35, 95)(36, 96)(37, 97)(38, 98)(39, 99)(40, 100)(41, 101)(42, 102)(43, 103)(44, 104)(45, 105)(46, 106)(47, 107)(48, 108)(49, 109)(50, 110)(51, 111)(52, 112)(53, 113)(54, 114)(55, 115)(56, 116)(57, 117)(58, 118)(59, 119)(60, 120)
	local type(s) :: { ( 30^3 ), ( 30^15 ) }
Outer automorphisms :: reflexible
Dual of E17.1051
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 60 f = 4
	degree seq :: [ 3^20, 15^4 ]

E17.1051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 15, 15})
Quotient :: loop
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^-4 * T1, T2 * T1 * T2 * T1 * T2^-2 * T1, T2^3 * T1 * T2 * T1^-1 * T2 * T1, (T2^-1, T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 61, 3, 63, 9, 69, 25, 85, 19, 79, 47, 107, 57, 117, 42, 102, 56, 116, 60, 120, 54, 114, 31, 91, 41, 101, 15, 75, 5, 65)(2, 62, 6, 66, 17, 77, 43, 103, 32, 92, 55, 115, 59, 119, 51, 111, 40, 100, 53, 113, 28, 88, 10, 70, 27, 87, 21, 81, 7, 67)(4, 64, 11, 71, 30, 90, 36, 96, 13, 73, 35, 95, 52, 112, 24, 84, 50, 110, 58, 118, 46, 106, 18, 78, 45, 105, 34, 94, 12, 72)(8, 68, 22, 82, 49, 109, 20, 80, 48, 108, 29, 89, 44, 104, 38, 98, 14, 74, 37, 97, 16, 76, 26, 86, 39, 99, 33, 93, 23, 83)
	L = (1, 62)(2, 64)(3, 68)(4, 61)(5, 73)(6, 76)(7, 79)(8, 70)(9, 84)(10, 63)(11, 89)(12, 92)(13, 74)(14, 65)(15, 99)(16, 78)(17, 102)(18, 66)(19, 80)(20, 67)(21, 98)(22, 90)(23, 107)(24, 86)(25, 103)(26, 69)(27, 105)(28, 108)(29, 91)(30, 111)(31, 71)(32, 93)(33, 72)(34, 109)(35, 88)(36, 85)(37, 115)(38, 110)(39, 100)(40, 75)(41, 87)(42, 104)(43, 96)(44, 77)(45, 101)(46, 83)(47, 106)(48, 95)(49, 116)(50, 81)(51, 82)(52, 117)(53, 118)(54, 97)(55, 114)(56, 94)(57, 119)(58, 120)(59, 112)(60, 113)
	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 E17.1050
Transitivity :: ET+ VT+ AT
Graph::
	v = 4 e = 60 f = 24
	degree seq :: [ 30^4 ]

E17.1052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^2 * Y1^-1, Y1^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y1^-1 * Y2^2 * Y3 * Y2^-1, Y3 * Y2^4 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y3, (Y2^-2 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-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, 26, 86)(11, 71, 29, 89, 31, 91)(12, 72, 32, 92, 33, 93)(15, 75, 39, 99, 40, 100)(17, 77, 42, 102, 44, 104)(21, 81, 38, 98, 50, 110)(22, 82, 30, 90, 51, 111)(23, 83, 47, 107, 46, 106)(25, 85, 43, 103, 36, 96)(27, 87, 45, 105, 41, 101)(28, 88, 48, 108, 35, 95)(34, 94, 49, 109, 56, 116)(37, 97, 55, 115, 54, 114)(52, 112, 57, 117, 59, 119)(53, 113, 58, 118, 60, 120)(121, 181, 123, 183, 129, 189, 145, 205, 139, 199, 167, 227, 177, 237, 162, 222, 176, 236, 180, 240, 174, 234, 151, 211, 161, 221, 135, 195, 125, 185)(122, 182, 126, 186, 137, 197, 163, 223, 152, 212, 175, 235, 179, 239, 171, 231, 160, 220, 173, 233, 148, 208, 130, 190, 147, 207, 141, 201, 127, 187)(124, 184, 131, 191, 150, 210, 156, 216, 133, 193, 155, 215, 172, 232, 144, 204, 170, 230, 178, 238, 166, 226, 138, 198, 165, 225, 154, 214, 132, 192)(128, 188, 142, 202, 169, 229, 140, 200, 168, 228, 149, 209, 164, 224, 158, 218, 134, 194, 157, 217, 136, 196, 146, 206, 159, 219, 153, 213, 143, 203)
	L = (1, 124)(2, 121)(3, 130)(4, 122)(5, 134)(6, 138)(7, 140)(8, 123)(9, 146)(10, 128)(11, 151)(12, 153)(13, 125)(14, 133)(15, 160)(16, 126)(17, 164)(18, 136)(19, 127)(20, 139)(21, 170)(22, 171)(23, 166)(24, 129)(25, 156)(26, 144)(27, 161)(28, 155)(29, 131)(30, 142)(31, 149)(32, 132)(33, 152)(34, 176)(35, 168)(36, 163)(37, 174)(38, 141)(39, 135)(40, 159)(41, 165)(42, 137)(43, 145)(44, 162)(45, 147)(46, 167)(47, 143)(48, 148)(49, 154)(50, 158)(51, 150)(52, 179)(53, 180)(54, 175)(55, 157)(56, 169)(57, 172)(58, 173)(59, 177)(60, 178)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E17.1053
Graph:: bipartite
	v = 24 e = 120 f = 64
	degree seq :: [ 6^20, 30^4 ]

E17.1053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 15, 15})
Quotient :: dipole
Aut^+ = C5 x A4 (small group id <60, 9>)
Aut   = (C5 x A4) : C2 (small group id <120, 38>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3, Y1^4 * Y3^-1 * Y1 * Y3^-1, Y1^3 * Y3 * Y1 * Y3^-1 * Y1 * Y3, (Y3^-1, Y1^-1)^2 ]
Map::
	R = (1, 61, 2, 62, 6, 66, 16, 76, 26, 86, 47, 107, 58, 118, 52, 112, 56, 116, 60, 120, 55, 115, 38, 98, 32, 92, 12, 72, 4, 64)(3, 63, 9, 69, 23, 83, 42, 102, 39, 99, 54, 114, 59, 119, 46, 106, 33, 93, 51, 111, 22, 82, 8, 68, 21, 81, 27, 87, 10, 70)(5, 65, 14, 74, 36, 96, 30, 90, 11, 71, 29, 89, 44, 104, 17, 77, 43, 103, 57, 117, 48, 108, 25, 85, 49, 109, 40, 100, 15, 75)(7, 67, 19, 79, 45, 105, 28, 88, 50, 110, 37, 97, 53, 113, 35, 95, 13, 73, 34, 94, 24, 84, 18, 78, 31, 91, 41, 101, 20, 80)(121, 181)(122, 182)(123, 183)(124, 184)(125, 185)(126, 186)(127, 187)(128, 188)(129, 189)(130, 190)(131, 191)(132, 192)(133, 193)(134, 194)(135, 195)(136, 196)(137, 197)(138, 198)(139, 199)(140, 200)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(146, 206)(147, 207)(148, 208)(149, 209)(150, 210)(151, 211)(152, 212)(153, 213)(154, 214)(155, 215)(156, 216)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)
	L = (1, 123)(2, 127)(3, 125)(4, 131)(5, 121)(6, 137)(7, 128)(8, 122)(9, 144)(10, 146)(11, 133)(12, 151)(13, 124)(14, 157)(15, 159)(16, 162)(17, 138)(18, 126)(19, 156)(20, 167)(21, 169)(22, 170)(23, 172)(24, 145)(25, 129)(26, 148)(27, 155)(28, 130)(29, 142)(30, 136)(31, 153)(32, 141)(33, 132)(34, 174)(35, 163)(36, 166)(37, 158)(38, 134)(39, 161)(40, 165)(41, 135)(42, 150)(43, 147)(44, 178)(45, 176)(46, 139)(47, 168)(48, 140)(49, 152)(50, 149)(51, 177)(52, 173)(53, 143)(54, 175)(55, 154)(56, 160)(57, 180)(58, 179)(59, 164)(60, 171)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 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 E17.1052
Graph:: simple bipartite
	v = 64 e = 120 f = 24
	degree seq :: [ 2^60, 30^4 ]

E17.1054 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, Y1^4, Y2 * Y3 * Y1^2 * Y3 * Y2 * Y1^-2, Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1^-1, (Y3 * Y2)^4, (Y2 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 85, 21, 75, 11, 67)(4, 71, 7, 81, 17, 77, 13, 68)(8, 79, 15, 97, 33, 84, 20, 72)(10, 86, 22, 98, 34, 89, 25, 74)(12, 91, 27, 99, 35, 93, 29, 76)(14, 95, 31, 100, 36, 80, 16, 78)(18, 101, 37, 96, 32, 104, 40, 82)(19, 105, 41, 90, 26, 107, 43, 83)(23, 102, 38, 94, 30, 108, 44, 87)(24, 106, 42, 121, 57, 111, 47, 88)(28, 113, 49, 118, 54, 114, 50, 92)(39, 117, 53, 115, 51, 120, 56, 103)(45, 116, 52, 112, 48, 122, 58, 109)(46, 119, 55, 126, 62, 124, 60, 110)(59, 127, 63, 125, 61, 128, 64, 123)
	L = (1, 3)(2, 7)(4, 12)(5, 14)(6, 15)(8, 19)(9, 22)(10, 24)(11, 26)(13, 30)(16, 35)(17, 37)(18, 39)(20, 44)(21, 38)(23, 36)(25, 33)(27, 49)(28, 46)(29, 51)(31, 40)(32, 50)(34, 52)(41, 57)(42, 55)(43, 58)(45, 59)(47, 61)(48, 60)(53, 62)(54, 63)(56, 64)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 82)(73, 87)(76, 92)(77, 93)(78, 96)(79, 98)(81, 102)(83, 106)(84, 107)(85, 105)(86, 109)(88, 110)(89, 111)(90, 112)(91, 100)(94, 97)(95, 108)(99, 117)(101, 118)(103, 119)(104, 120)(113, 123)(114, 124)(115, 125)(116, 126)(121, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1055 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, Y1^4, (R * Y1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1, Y3 * Y1^-2 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1, (Y2 * Y1 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 89, 25, 75, 11, 67)(4, 76, 12, 96, 32, 78, 14, 68)(7, 83, 19, 111, 47, 85, 21, 71)(8, 86, 22, 117, 53, 88, 24, 72)(10, 92, 28, 106, 42, 93, 29, 74)(13, 90, 26, 109, 45, 99, 35, 77)(15, 101, 37, 122, 58, 102, 38, 79)(16, 98, 34, 123, 59, 104, 40, 80)(17, 105, 41, 124, 60, 107, 43, 81)(18, 108, 44, 125, 61, 110, 46, 82)(20, 114, 50, 94, 30, 115, 51, 84)(23, 112, 48, 103, 39, 119, 55, 87)(27, 113, 49, 100, 36, 120, 56, 91)(31, 116, 52, 97, 33, 118, 54, 95)(57, 126, 62, 128, 64, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 21)(11, 30)(12, 33)(14, 36)(16, 39)(18, 45)(19, 48)(20, 43)(22, 54)(24, 56)(25, 57)(27, 46)(28, 59)(29, 53)(31, 44)(32, 50)(34, 52)(35, 41)(37, 55)(38, 42)(40, 49)(47, 62)(51, 61)(58, 63)(60, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 91)(75, 95)(76, 87)(77, 98)(78, 93)(79, 94)(81, 106)(83, 113)(85, 116)(86, 109)(88, 115)(89, 112)(90, 122)(92, 110)(96, 121)(97, 107)(99, 111)(100, 105)(101, 120)(102, 118)(103, 108)(104, 114)(117, 126)(119, 124)(123, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1056 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, Y3 * Y1^-2 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y3)^4 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 89, 25, 75, 11, 67)(4, 76, 12, 96, 32, 78, 14, 68)(7, 83, 19, 111, 47, 85, 21, 71)(8, 86, 22, 117, 53, 88, 24, 72)(10, 91, 27, 106, 42, 93, 29, 74)(13, 98, 34, 109, 45, 94, 30, 77)(15, 92, 28, 123, 59, 102, 38, 79)(16, 103, 39, 122, 58, 104, 40, 80)(17, 105, 41, 124, 60, 107, 43, 81)(18, 108, 44, 125, 61, 110, 46, 82)(20, 113, 49, 101, 37, 114, 50, 84)(23, 119, 55, 100, 36, 115, 51, 87)(26, 112, 48, 99, 35, 120, 56, 90)(31, 116, 52, 97, 33, 118, 54, 95)(57, 126, 62, 128, 64, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 20)(10, 28)(11, 30)(12, 33)(14, 35)(16, 36)(18, 45)(19, 42)(21, 51)(22, 54)(24, 56)(25, 57)(26, 46)(27, 58)(29, 53)(31, 44)(32, 49)(34, 43)(37, 41)(38, 55)(39, 52)(40, 48)(47, 62)(50, 61)(59, 63)(60, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 95)(76, 91)(77, 88)(78, 100)(79, 101)(81, 106)(83, 112)(85, 116)(86, 113)(87, 110)(89, 119)(92, 120)(93, 108)(94, 111)(96, 121)(97, 107)(98, 123)(99, 105)(102, 118)(103, 114)(104, 109)(115, 124)(117, 126)(122, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1057 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1 * Y3 * Y1^-1 * Y2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1 * Y3 * Y2, Y2 * Y1^-1 * Y3 * Y2 * Y1^2 * Y2 * Y1^-1 ]
Map::
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 72, 8, 83, 19, 74, 10, 67)(4, 75, 11, 89, 25, 77, 13, 68)(7, 80, 16, 99, 35, 82, 18, 71)(9, 85, 21, 97, 33, 87, 23, 73)(12, 91, 27, 100, 36, 93, 29, 76)(14, 95, 31, 98, 34, 79, 15, 78)(17, 101, 37, 94, 30, 103, 39, 81)(20, 106, 42, 96, 32, 108, 44, 84)(22, 109, 45, 121, 57, 111, 47, 86)(24, 104, 40, 90, 26, 105, 41, 88)(28, 102, 38, 118, 54, 114, 50, 92)(43, 116, 52, 112, 48, 122, 58, 107)(46, 119, 55, 126, 62, 124, 60, 110)(49, 117, 53, 115, 51, 120, 56, 113)(59, 127, 63, 125, 61, 128, 64, 123)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 15)(8, 20)(9, 22)(10, 23)(11, 26)(14, 32)(16, 36)(17, 38)(18, 39)(19, 41)(21, 34)(24, 35)(25, 37)(27, 49)(28, 46)(29, 50)(30, 51)(31, 40)(33, 52)(42, 57)(43, 55)(44, 58)(45, 59)(47, 60)(48, 61)(53, 62)(54, 63)(56, 64)(65, 68)(66, 72)(67, 73)(69, 78)(70, 80)(71, 81)(74, 88)(75, 91)(76, 92)(77, 94)(79, 97)(82, 104)(83, 106)(84, 107)(85, 109)(86, 110)(87, 112)(89, 105)(90, 98)(93, 99)(95, 108)(96, 111)(100, 117)(101, 118)(102, 119)(103, 120)(113, 123)(114, 125)(115, 124)(116, 126)(121, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1058 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-1 * Y1 * Y3, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3^2 * Y2 * Y1 * Y3^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(3, 67, 10, 74, 25, 89, 11, 75)(6, 70, 16, 80, 37, 101, 17, 81)(9, 73, 22, 86, 48, 112, 23, 87)(12, 76, 28, 92, 43, 107, 29, 93)(14, 78, 32, 96, 36, 100, 30, 94)(15, 79, 34, 98, 55, 119, 35, 99)(18, 82, 40, 104, 31, 95, 41, 105)(20, 84, 44, 108, 24, 88, 42, 106)(21, 85, 45, 109, 59, 123, 46, 110)(26, 90, 51, 115, 27, 91, 49, 113)(33, 97, 52, 116, 62, 126, 53, 117)(38, 102, 58, 122, 39, 103, 56, 120)(47, 111, 60, 124, 50, 114, 61, 125)(54, 118, 63, 127, 57, 121, 64, 128)(129, 130)(131, 137)(132, 140)(133, 139)(134, 143)(135, 146)(136, 145)(138, 152)(141, 158)(142, 159)(144, 164)(147, 170)(148, 171)(149, 161)(150, 175)(151, 174)(153, 177)(154, 178)(155, 173)(156, 176)(157, 179)(160, 172)(162, 182)(163, 181)(165, 184)(166, 185)(167, 180)(168, 183)(169, 186)(187, 191)(188, 190)(189, 192)(193, 195)(194, 198)(196, 199)(197, 206)(200, 212)(201, 213)(202, 214)(203, 218)(204, 219)(205, 220)(207, 225)(208, 226)(209, 230)(210, 231)(211, 232)(215, 235)(216, 228)(217, 234)(221, 236)(222, 229)(223, 227)(224, 233)(237, 244)(238, 249)(239, 246)(240, 252)(241, 251)(242, 245)(243, 253)(247, 255)(248, 254)(250, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1066
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1059 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2, Y3^2 * Y1 * Y2 * Y3^-2 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^2 * Y1, (Y2 * Y1)^4, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(3, 67, 10, 74, 25, 89, 11, 75)(6, 70, 16, 80, 37, 101, 17, 81)(9, 73, 22, 86, 47, 111, 23, 87)(12, 76, 28, 92, 38, 102, 29, 93)(14, 78, 32, 96, 39, 103, 30, 94)(15, 79, 34, 98, 54, 118, 35, 99)(18, 82, 40, 104, 26, 90, 41, 105)(20, 84, 44, 108, 27, 91, 42, 106)(21, 85, 45, 109, 59, 123, 46, 110)(24, 88, 50, 114, 31, 95, 51, 115)(33, 97, 52, 116, 62, 126, 53, 117)(36, 100, 57, 121, 43, 107, 58, 122)(48, 112, 61, 125, 49, 113, 60, 124)(55, 119, 64, 128, 56, 120, 63, 127)(129, 130)(131, 137)(132, 138)(133, 142)(134, 143)(135, 144)(136, 148)(139, 154)(140, 155)(141, 156)(145, 166)(146, 167)(147, 168)(149, 161)(150, 173)(151, 176)(152, 177)(153, 178)(157, 169)(158, 175)(159, 174)(160, 179)(162, 180)(163, 183)(164, 184)(165, 185)(170, 182)(171, 181)(172, 186)(187, 191)(188, 190)(189, 192)(193, 195)(194, 198)(196, 204)(197, 200)(199, 210)(201, 213)(202, 216)(203, 215)(205, 222)(206, 223)(207, 225)(208, 228)(209, 227)(211, 234)(212, 235)(214, 231)(217, 232)(218, 230)(219, 226)(220, 229)(221, 236)(224, 233)(237, 248)(238, 245)(239, 252)(240, 247)(241, 244)(242, 251)(243, 253)(246, 255)(249, 254)(250, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1067
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1060 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y2 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y1, Y3^-2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^2 * Y1, (Y3 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 28, 92, 11, 75)(6, 70, 18, 82, 44, 108, 19, 83)(9, 73, 26, 90, 54, 118, 23, 87)(12, 76, 31, 95, 53, 117, 32, 96)(13, 77, 34, 98, 45, 109, 25, 89)(15, 79, 17, 81, 42, 106, 38, 102)(16, 80, 39, 103, 43, 107, 40, 104)(20, 84, 47, 111, 37, 101, 48, 112)(21, 85, 50, 114, 29, 93, 41, 105)(24, 88, 55, 119, 27, 91, 56, 120)(30, 94, 59, 123, 33, 97, 52, 116)(35, 99, 58, 122, 63, 127, 57, 121)(36, 100, 46, 110, 62, 126, 49, 113)(51, 115, 61, 125, 64, 128, 60, 124)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 155)(139, 157)(141, 161)(142, 163)(144, 158)(146, 171)(147, 173)(149, 177)(150, 179)(152, 174)(153, 169)(154, 185)(156, 175)(159, 172)(160, 187)(162, 184)(164, 182)(165, 186)(166, 180)(167, 183)(168, 178)(170, 188)(176, 190)(181, 189)(191, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 210)(203, 222)(204, 212)(206, 228)(207, 229)(209, 233)(211, 238)(214, 244)(215, 245)(218, 234)(219, 249)(220, 243)(221, 250)(223, 242)(224, 247)(225, 241)(226, 239)(227, 236)(230, 248)(231, 240)(232, 246)(235, 252)(237, 253)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1068
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1061 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^2 * Y2 * Y3^-1 * Y2, Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 45, 109, 19, 83)(9, 73, 20, 84, 48, 112, 26, 90)(12, 76, 32, 96, 42, 106, 17, 81)(13, 77, 33, 97, 46, 110, 34, 98)(15, 79, 37, 101, 47, 111, 38, 102)(16, 80, 25, 89, 43, 107, 40, 104)(21, 85, 49, 113, 30, 94, 50, 114)(23, 87, 53, 117, 31, 95, 54, 118)(24, 88, 41, 105, 27, 91, 56, 120)(28, 92, 52, 116, 39, 103, 59, 123)(35, 99, 57, 121, 63, 127, 58, 122)(36, 100, 55, 119, 62, 126, 44, 108)(51, 115, 60, 124, 64, 128, 61, 125)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 155)(139, 158)(141, 156)(142, 163)(144, 167)(146, 171)(147, 174)(149, 172)(150, 179)(152, 183)(153, 169)(154, 185)(157, 182)(159, 186)(160, 180)(161, 184)(162, 178)(164, 176)(165, 187)(166, 173)(168, 177)(170, 188)(175, 189)(181, 190)(191, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 211)(204, 223)(206, 228)(207, 215)(209, 233)(210, 236)(212, 239)(214, 244)(218, 234)(219, 250)(221, 243)(222, 249)(224, 241)(225, 240)(226, 245)(227, 237)(229, 242)(230, 248)(231, 247)(232, 246)(235, 253)(238, 252)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1069
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1062 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 230>$ (small group id <128, 230>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 16, 80)(6, 70, 15, 79)(7, 71, 22, 86)(8, 72, 26, 90)(10, 74, 28, 92)(11, 75, 32, 96)(12, 76, 34, 98)(14, 78, 36, 100)(17, 81, 42, 106)(18, 82, 41, 105)(19, 83, 40, 104)(20, 84, 39, 103)(21, 85, 44, 108)(23, 87, 45, 109)(24, 88, 47, 111)(25, 89, 49, 113)(27, 91, 50, 114)(29, 93, 54, 118)(30, 94, 53, 117)(31, 95, 55, 119)(33, 97, 56, 120)(35, 99, 57, 121)(37, 101, 59, 123)(38, 102, 58, 122)(43, 107, 60, 124)(46, 110, 61, 125)(48, 112, 62, 126)(51, 115, 64, 128)(52, 116, 63, 127)(129, 130, 135, 133)(131, 139, 149, 142)(132, 143, 162, 141)(134, 147, 151, 148)(136, 152, 145, 155)(137, 156, 177, 154)(138, 157, 146, 158)(140, 153, 171, 163)(144, 169, 185, 170)(150, 173, 188, 172)(159, 174, 165, 179)(160, 184, 168, 183)(161, 176, 166, 180)(164, 186, 167, 187)(175, 190, 182, 189)(178, 191, 181, 192)(193, 195, 204, 198)(194, 200, 217, 202)(196, 208, 214, 201)(197, 209, 227, 210)(199, 213, 235, 215)(203, 223, 211, 225)(205, 228, 236, 224)(206, 229, 212, 230)(207, 231, 237, 232)(216, 238, 221, 240)(218, 242, 234, 239)(219, 243, 222, 244)(220, 245, 233, 246)(226, 249, 252, 241)(247, 256, 251, 253)(248, 255, 250, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1070
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1063 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 251>$ (small group id <128, 251>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y3 * Y2^-2 * Y3 * Y1^-2, Y3 * Y2 * Y1^-2 * Y3 * Y1^-1, (Y1 * Y3 * Y2)^2, Y3 * Y2^2 * Y1 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y1^2 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 23, 87)(7, 71, 26, 90)(8, 72, 30, 94)(10, 74, 37, 101)(11, 75, 40, 104)(12, 76, 35, 99)(14, 78, 46, 110)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 27, 91)(18, 82, 42, 106)(19, 83, 32, 96)(21, 85, 34, 98)(22, 86, 43, 107)(24, 88, 44, 108)(28, 92, 50, 114)(31, 95, 55, 119)(33, 97, 48, 112)(36, 100, 52, 116)(38, 102, 53, 117)(39, 103, 57, 121)(41, 105, 60, 124)(45, 109, 58, 122)(47, 111, 59, 123)(49, 113, 61, 125)(51, 115, 64, 128)(54, 118, 62, 126)(56, 120, 63, 127)(129, 130, 135, 133)(131, 139, 153, 142)(132, 143, 163, 145)(134, 150, 155, 152)(136, 156, 147, 159)(137, 160, 144, 162)(138, 164, 149, 166)(140, 157, 176, 170)(141, 161, 151, 154)(146, 165, 148, 158)(167, 177, 173, 182)(168, 186, 171, 187)(169, 179, 175, 184)(172, 188, 174, 185)(178, 190, 180, 191)(181, 192, 183, 189)(193, 195, 204, 198)(194, 200, 221, 202)(196, 208, 218, 210)(197, 211, 234, 213)(199, 217, 240, 219)(201, 225, 212, 227)(203, 231, 214, 233)(205, 235, 207, 236)(206, 237, 216, 239)(209, 238, 215, 232)(220, 241, 228, 243)(222, 244, 224, 245)(223, 246, 230, 248)(226, 247, 229, 242)(249, 256, 250, 255)(251, 254, 252, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1071
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1064 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 242>$ (small group id <128, 242>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y3 * Y2^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 23, 87)(7, 71, 26, 90)(8, 72, 30, 94)(10, 74, 37, 101)(11, 75, 40, 104)(12, 76, 42, 106)(14, 78, 32, 96)(15, 79, 28, 92)(16, 80, 39, 103)(17, 81, 36, 100)(18, 82, 46, 110)(19, 83, 49, 113)(21, 85, 45, 109)(22, 86, 48, 112)(24, 88, 34, 98)(25, 89, 51, 115)(27, 91, 54, 118)(29, 93, 57, 121)(31, 95, 52, 116)(33, 97, 55, 119)(35, 99, 59, 123)(38, 102, 53, 117)(41, 105, 62, 126)(43, 107, 61, 125)(44, 108, 56, 120)(47, 111, 58, 122)(50, 114, 63, 127)(60, 124, 64, 128)(129, 130, 135, 133)(131, 139, 153, 142)(132, 143, 170, 145)(134, 150, 155, 152)(136, 156, 147, 159)(137, 160, 185, 162)(138, 164, 149, 166)(140, 157, 178, 171)(141, 161, 151, 172)(144, 173, 190, 177)(146, 165, 186, 158)(148, 168, 189, 176)(154, 180, 191, 181)(163, 182, 192, 179)(167, 183, 174, 187)(169, 184, 175, 188)(193, 195, 204, 198)(194, 200, 221, 202)(196, 208, 218, 210)(197, 211, 235, 213)(199, 217, 242, 219)(201, 225, 212, 227)(203, 231, 214, 233)(205, 229, 243, 237)(206, 238, 216, 239)(207, 226, 244, 240)(209, 224, 245, 232)(215, 222, 246, 241)(220, 247, 228, 248)(223, 251, 230, 252)(234, 254, 255, 250)(236, 253, 256, 249)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1072
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1065 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 239>$ (small group id <128, 239>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 23, 87)(7, 71, 26, 90)(8, 72, 30, 94)(10, 74, 37, 101)(11, 75, 34, 98)(12, 76, 41, 105)(14, 78, 46, 110)(15, 79, 38, 102)(16, 80, 47, 111)(17, 81, 31, 95)(18, 82, 40, 104)(19, 83, 43, 107)(21, 85, 49, 113)(22, 86, 32, 96)(24, 88, 48, 112)(25, 89, 51, 115)(27, 91, 54, 118)(28, 92, 53, 117)(29, 93, 57, 121)(33, 97, 60, 124)(35, 99, 56, 120)(36, 100, 52, 116)(39, 103, 58, 122)(42, 106, 62, 126)(44, 108, 59, 123)(45, 109, 61, 125)(50, 114, 63, 127)(55, 119, 64, 128)(129, 130, 135, 133)(131, 139, 153, 142)(132, 143, 169, 145)(134, 150, 155, 152)(136, 156, 147, 159)(137, 160, 185, 162)(138, 164, 149, 166)(140, 157, 178, 170)(141, 161, 151, 172)(144, 177, 189, 171)(146, 165, 186, 158)(148, 176, 190, 174)(154, 180, 191, 181)(163, 182, 192, 179)(167, 183, 173, 187)(168, 184, 175, 188)(193, 195, 204, 198)(194, 200, 221, 202)(196, 208, 218, 210)(197, 211, 234, 213)(199, 217, 242, 219)(201, 225, 212, 227)(203, 231, 214, 232)(205, 235, 243, 222)(206, 237, 216, 239)(207, 240, 244, 224)(209, 238, 245, 226)(215, 241, 246, 229)(220, 247, 228, 248)(223, 251, 230, 252)(233, 253, 255, 250)(236, 254, 256, 249)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1073
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1066 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-1 * Y1 * Y3, (R * Y3)^2, Y3^4, R * Y1 * R * Y2, Y3^2 * Y2 * Y1 * Y3^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 19, 83, 147, 211, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 25, 89, 153, 217, 11, 75, 139, 203)(6, 70, 134, 198, 16, 80, 144, 208, 37, 101, 165, 229, 17, 81, 145, 209)(9, 73, 137, 201, 22, 86, 150, 214, 48, 112, 176, 240, 23, 87, 151, 215)(12, 76, 140, 204, 28, 92, 156, 220, 43, 107, 171, 235, 29, 93, 157, 221)(14, 78, 142, 206, 32, 96, 160, 224, 36, 100, 164, 228, 30, 94, 158, 222)(15, 79, 143, 207, 34, 98, 162, 226, 55, 119, 183, 247, 35, 99, 163, 227)(18, 82, 146, 210, 40, 104, 168, 232, 31, 95, 159, 223, 41, 105, 169, 233)(20, 84, 148, 212, 44, 108, 172, 236, 24, 88, 152, 216, 42, 106, 170, 234)(21, 85, 149, 213, 45, 109, 173, 237, 59, 123, 187, 251, 46, 110, 174, 238)(26, 90, 154, 218, 51, 115, 179, 243, 27, 91, 155, 219, 49, 113, 177, 241)(33, 97, 161, 225, 52, 116, 180, 244, 62, 126, 190, 254, 53, 117, 181, 245)(38, 102, 166, 230, 58, 122, 186, 250, 39, 103, 167, 231, 56, 120, 184, 248)(47, 111, 175, 239, 60, 124, 188, 252, 50, 114, 178, 242, 61, 125, 189, 253)(54, 118, 182, 246, 63, 127, 191, 255, 57, 121, 185, 249, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 75)(6, 79)(7, 82)(8, 81)(9, 67)(10, 88)(11, 69)(12, 68)(13, 94)(14, 95)(15, 70)(16, 100)(17, 72)(18, 71)(19, 106)(20, 107)(21, 97)(22, 111)(23, 110)(24, 74)(25, 113)(26, 114)(27, 109)(28, 112)(29, 115)(30, 77)(31, 78)(32, 108)(33, 85)(34, 118)(35, 117)(36, 80)(37, 120)(38, 121)(39, 116)(40, 119)(41, 122)(42, 83)(43, 84)(44, 96)(45, 91)(46, 87)(47, 86)(48, 92)(49, 89)(50, 90)(51, 93)(52, 103)(53, 99)(54, 98)(55, 104)(56, 101)(57, 102)(58, 105)(59, 127)(60, 126)(61, 128)(62, 124)(63, 123)(64, 125)(129, 195)(130, 198)(131, 193)(132, 199)(133, 206)(134, 194)(135, 196)(136, 212)(137, 213)(138, 214)(139, 218)(140, 219)(141, 220)(142, 197)(143, 225)(144, 226)(145, 230)(146, 231)(147, 232)(148, 200)(149, 201)(150, 202)(151, 235)(152, 228)(153, 234)(154, 203)(155, 204)(156, 205)(157, 236)(158, 229)(159, 227)(160, 233)(161, 207)(162, 208)(163, 223)(164, 216)(165, 222)(166, 209)(167, 210)(168, 211)(169, 224)(170, 217)(171, 215)(172, 221)(173, 244)(174, 249)(175, 246)(176, 252)(177, 251)(178, 245)(179, 253)(180, 237)(181, 242)(182, 239)(183, 255)(184, 254)(185, 238)(186, 256)(187, 241)(188, 240)(189, 243)(190, 248)(191, 247)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1058
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1067 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-2, Y3^2 * Y1 * Y2 * Y3^-2 * Y2 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^2 * Y1, (Y2 * Y1)^4, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 19, 83, 147, 211, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 25, 89, 153, 217, 11, 75, 139, 203)(6, 70, 134, 198, 16, 80, 144, 208, 37, 101, 165, 229, 17, 81, 145, 209)(9, 73, 137, 201, 22, 86, 150, 214, 47, 111, 175, 239, 23, 87, 151, 215)(12, 76, 140, 204, 28, 92, 156, 220, 38, 102, 166, 230, 29, 93, 157, 221)(14, 78, 142, 206, 32, 96, 160, 224, 39, 103, 167, 231, 30, 94, 158, 222)(15, 79, 143, 207, 34, 98, 162, 226, 54, 118, 182, 246, 35, 99, 163, 227)(18, 82, 146, 210, 40, 104, 168, 232, 26, 90, 154, 218, 41, 105, 169, 233)(20, 84, 148, 212, 44, 108, 172, 236, 27, 91, 155, 219, 42, 106, 170, 234)(21, 85, 149, 213, 45, 109, 173, 237, 59, 123, 187, 251, 46, 110, 174, 238)(24, 88, 152, 216, 50, 114, 178, 242, 31, 95, 159, 223, 51, 115, 179, 243)(33, 97, 161, 225, 52, 116, 180, 244, 62, 126, 190, 254, 53, 117, 181, 245)(36, 100, 164, 228, 57, 121, 185, 249, 43, 107, 171, 235, 58, 122, 186, 250)(48, 112, 176, 240, 61, 125, 189, 253, 49, 113, 177, 241, 60, 124, 188, 252)(55, 119, 183, 247, 64, 128, 192, 256, 56, 120, 184, 248, 63, 127, 191, 255)
	L = (1, 66)(2, 65)(3, 73)(4, 74)(5, 78)(6, 79)(7, 80)(8, 84)(9, 67)(10, 68)(11, 90)(12, 91)(13, 92)(14, 69)(15, 70)(16, 71)(17, 102)(18, 103)(19, 104)(20, 72)(21, 97)(22, 109)(23, 112)(24, 113)(25, 114)(26, 75)(27, 76)(28, 77)(29, 105)(30, 111)(31, 110)(32, 115)(33, 85)(34, 116)(35, 119)(36, 120)(37, 121)(38, 81)(39, 82)(40, 83)(41, 93)(42, 118)(43, 117)(44, 122)(45, 86)(46, 95)(47, 94)(48, 87)(49, 88)(50, 89)(51, 96)(52, 98)(53, 107)(54, 106)(55, 99)(56, 100)(57, 101)(58, 108)(59, 127)(60, 126)(61, 128)(62, 124)(63, 123)(64, 125)(129, 195)(130, 198)(131, 193)(132, 204)(133, 200)(134, 194)(135, 210)(136, 197)(137, 213)(138, 216)(139, 215)(140, 196)(141, 222)(142, 223)(143, 225)(144, 228)(145, 227)(146, 199)(147, 234)(148, 235)(149, 201)(150, 231)(151, 203)(152, 202)(153, 232)(154, 230)(155, 226)(156, 229)(157, 236)(158, 205)(159, 206)(160, 233)(161, 207)(162, 219)(163, 209)(164, 208)(165, 220)(166, 218)(167, 214)(168, 217)(169, 224)(170, 211)(171, 212)(172, 221)(173, 248)(174, 245)(175, 252)(176, 247)(177, 244)(178, 251)(179, 253)(180, 241)(181, 238)(182, 255)(183, 240)(184, 237)(185, 254)(186, 256)(187, 242)(188, 239)(189, 243)(190, 249)(191, 246)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1059
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1068 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1, Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y2 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y1, Y3^-2 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^2 * Y1, (Y3 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 28, 92, 156, 220, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 44, 108, 172, 236, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 54, 118, 182, 246, 23, 87, 151, 215)(12, 76, 140, 204, 31, 95, 159, 223, 53, 117, 181, 245, 32, 96, 160, 224)(13, 77, 141, 205, 34, 98, 162, 226, 45, 109, 173, 237, 25, 89, 153, 217)(15, 79, 143, 207, 17, 81, 145, 209, 42, 106, 170, 234, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231, 43, 107, 171, 235, 40, 104, 168, 232)(20, 84, 148, 212, 47, 111, 175, 239, 37, 101, 165, 229, 48, 112, 176, 240)(21, 85, 149, 213, 50, 114, 178, 242, 29, 93, 157, 221, 41, 105, 169, 233)(24, 88, 152, 216, 55, 119, 183, 247, 27, 91, 155, 219, 56, 120, 184, 248)(30, 94, 158, 222, 59, 123, 187, 251, 33, 97, 161, 225, 52, 116, 180, 244)(35, 99, 163, 227, 58, 122, 186, 250, 63, 127, 191, 255, 57, 121, 185, 249)(36, 100, 164, 228, 46, 110, 174, 238, 62, 126, 190, 254, 49, 113, 177, 241)(51, 115, 179, 243, 61, 125, 189, 253, 64, 128, 192, 256, 60, 124, 188, 252)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 91)(11, 93)(12, 68)(13, 97)(14, 99)(15, 69)(16, 94)(17, 70)(18, 107)(19, 109)(20, 71)(21, 113)(22, 115)(23, 72)(24, 110)(25, 105)(26, 121)(27, 74)(28, 111)(29, 75)(30, 80)(31, 108)(32, 123)(33, 77)(34, 120)(35, 78)(36, 118)(37, 122)(38, 116)(39, 119)(40, 114)(41, 89)(42, 124)(43, 82)(44, 95)(45, 83)(46, 88)(47, 92)(48, 126)(49, 85)(50, 104)(51, 86)(52, 102)(53, 125)(54, 100)(55, 103)(56, 98)(57, 90)(58, 101)(59, 96)(60, 106)(61, 117)(62, 112)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 210)(139, 222)(140, 212)(141, 196)(142, 228)(143, 229)(144, 197)(145, 233)(146, 202)(147, 238)(148, 204)(149, 199)(150, 244)(151, 245)(152, 200)(153, 201)(154, 234)(155, 249)(156, 243)(157, 250)(158, 203)(159, 242)(160, 247)(161, 241)(162, 239)(163, 236)(164, 206)(165, 207)(166, 248)(167, 240)(168, 246)(169, 209)(170, 218)(171, 252)(172, 227)(173, 253)(174, 211)(175, 226)(176, 231)(177, 225)(178, 223)(179, 220)(180, 214)(181, 215)(182, 232)(183, 224)(184, 230)(185, 219)(186, 221)(187, 255)(188, 235)(189, 237)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1060
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1069 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3^-1 * Y2 * Y1 * Y3^2 * Y2 * Y3^-1 * Y2, Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, Y2 * Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 45, 109, 173, 237, 19, 83, 147, 211)(9, 73, 137, 201, 20, 84, 148, 212, 48, 112, 176, 240, 26, 90, 154, 218)(12, 76, 140, 204, 32, 96, 160, 224, 42, 106, 170, 234, 17, 81, 145, 209)(13, 77, 141, 205, 33, 97, 161, 225, 46, 110, 174, 238, 34, 98, 162, 226)(15, 79, 143, 207, 37, 101, 165, 229, 47, 111, 175, 239, 38, 102, 166, 230)(16, 80, 144, 208, 25, 89, 153, 217, 43, 107, 171, 235, 40, 104, 168, 232)(21, 85, 149, 213, 49, 113, 177, 241, 30, 94, 158, 222, 50, 114, 178, 242)(23, 87, 151, 215, 53, 117, 181, 245, 31, 95, 159, 223, 54, 118, 182, 246)(24, 88, 152, 216, 41, 105, 169, 233, 27, 91, 155, 219, 56, 120, 184, 248)(28, 92, 156, 220, 52, 116, 180, 244, 39, 103, 167, 231, 59, 123, 187, 251)(35, 99, 163, 227, 57, 121, 185, 249, 63, 127, 191, 255, 58, 122, 186, 250)(36, 100, 164, 228, 55, 119, 183, 247, 62, 126, 190, 254, 44, 108, 172, 236)(51, 115, 179, 243, 60, 124, 188, 252, 64, 128, 192, 256, 61, 125, 189, 253)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 91)(11, 94)(12, 68)(13, 92)(14, 99)(15, 69)(16, 103)(17, 70)(18, 107)(19, 110)(20, 71)(21, 108)(22, 115)(23, 72)(24, 119)(25, 105)(26, 121)(27, 74)(28, 77)(29, 118)(30, 75)(31, 122)(32, 116)(33, 120)(34, 114)(35, 78)(36, 112)(37, 123)(38, 109)(39, 80)(40, 113)(41, 89)(42, 124)(43, 82)(44, 85)(45, 102)(46, 83)(47, 125)(48, 100)(49, 104)(50, 98)(51, 86)(52, 96)(53, 126)(54, 93)(55, 88)(56, 97)(57, 90)(58, 95)(59, 101)(60, 106)(61, 111)(62, 117)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 211)(140, 223)(141, 196)(142, 228)(143, 215)(144, 197)(145, 233)(146, 236)(147, 203)(148, 239)(149, 199)(150, 244)(151, 207)(152, 200)(153, 201)(154, 234)(155, 250)(156, 202)(157, 243)(158, 249)(159, 204)(160, 241)(161, 240)(162, 245)(163, 237)(164, 206)(165, 242)(166, 248)(167, 247)(168, 246)(169, 209)(170, 218)(171, 253)(172, 210)(173, 227)(174, 252)(175, 212)(176, 225)(177, 224)(178, 229)(179, 221)(180, 214)(181, 226)(182, 232)(183, 231)(184, 230)(185, 222)(186, 219)(187, 255)(188, 238)(189, 235)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1061
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1070 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 230>$ (small group id <128, 230>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y3 * Y2^-1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 16, 80, 144, 208)(6, 70, 134, 198, 15, 79, 143, 207)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 26, 90, 154, 218)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 32, 96, 160, 224)(12, 76, 140, 204, 34, 98, 162, 226)(14, 78, 142, 206, 36, 100, 164, 228)(17, 81, 145, 209, 42, 106, 170, 234)(18, 82, 146, 210, 41, 105, 169, 233)(19, 83, 147, 211, 40, 104, 168, 232)(20, 84, 148, 212, 39, 103, 167, 231)(21, 85, 149, 213, 44, 108, 172, 236)(23, 87, 151, 215, 45, 109, 173, 237)(24, 88, 152, 216, 47, 111, 175, 239)(25, 89, 153, 217, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(29, 93, 157, 221, 54, 118, 182, 246)(30, 94, 158, 222, 53, 117, 181, 245)(31, 95, 159, 223, 55, 119, 183, 247)(33, 97, 161, 225, 56, 120, 184, 248)(35, 99, 163, 227, 57, 121, 185, 249)(37, 101, 165, 229, 59, 123, 187, 251)(38, 102, 166, 230, 58, 122, 186, 250)(43, 107, 171, 235, 60, 124, 188, 252)(46, 110, 174, 238, 61, 125, 189, 253)(48, 112, 176, 240, 62, 126, 190, 254)(51, 115, 179, 243, 64, 128, 192, 256)(52, 116, 180, 244, 63, 127, 191, 255)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 83)(7, 69)(8, 88)(9, 92)(10, 93)(11, 85)(12, 89)(13, 68)(14, 67)(15, 98)(16, 105)(17, 91)(18, 94)(19, 87)(20, 70)(21, 78)(22, 109)(23, 84)(24, 81)(25, 107)(26, 73)(27, 72)(28, 113)(29, 82)(30, 74)(31, 110)(32, 120)(33, 112)(34, 77)(35, 76)(36, 122)(37, 115)(38, 116)(39, 123)(40, 119)(41, 121)(42, 80)(43, 99)(44, 86)(45, 124)(46, 101)(47, 126)(48, 102)(49, 90)(50, 127)(51, 95)(52, 97)(53, 128)(54, 125)(55, 96)(56, 104)(57, 106)(58, 103)(59, 100)(60, 108)(61, 111)(62, 118)(63, 117)(64, 114)(129, 195)(130, 200)(131, 204)(132, 208)(133, 209)(134, 193)(135, 213)(136, 217)(137, 196)(138, 194)(139, 223)(140, 198)(141, 228)(142, 229)(143, 231)(144, 214)(145, 227)(146, 197)(147, 225)(148, 230)(149, 235)(150, 201)(151, 199)(152, 238)(153, 202)(154, 242)(155, 243)(156, 245)(157, 240)(158, 244)(159, 211)(160, 205)(161, 203)(162, 249)(163, 210)(164, 236)(165, 212)(166, 206)(167, 237)(168, 207)(169, 246)(170, 239)(171, 215)(172, 224)(173, 232)(174, 221)(175, 218)(176, 216)(177, 226)(178, 234)(179, 222)(180, 219)(181, 233)(182, 220)(183, 256)(184, 255)(185, 252)(186, 254)(187, 253)(188, 241)(189, 247)(190, 248)(191, 250)(192, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1062
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1071 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 251>$ (small group id <128, 251>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y3 * Y2^-2 * Y3 * Y1^-2, Y3 * Y2 * Y1^-2 * Y3 * Y1^-1, (Y1 * Y3 * Y2)^2, Y3 * Y2^2 * Y1 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y1^2 * Y2 * Y3 * Y1^-1, (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 23, 87, 151, 215)(7, 71, 135, 199, 26, 90, 154, 218)(8, 72, 136, 200, 30, 94, 158, 222)(10, 74, 138, 202, 37, 101, 165, 229)(11, 75, 139, 203, 40, 104, 168, 232)(12, 76, 140, 204, 35, 99, 163, 227)(14, 78, 142, 206, 46, 110, 174, 238)(15, 79, 143, 207, 25, 89, 153, 217)(16, 80, 144, 208, 29, 93, 157, 221)(17, 81, 145, 209, 27, 91, 155, 219)(18, 82, 146, 210, 42, 106, 170, 234)(19, 83, 147, 211, 32, 96, 160, 224)(21, 85, 149, 213, 34, 98, 162, 226)(22, 86, 150, 214, 43, 107, 171, 235)(24, 88, 152, 216, 44, 108, 172, 236)(28, 92, 156, 220, 50, 114, 178, 242)(31, 95, 159, 223, 55, 119, 183, 247)(33, 97, 161, 225, 48, 112, 176, 240)(36, 100, 164, 228, 52, 116, 180, 244)(38, 102, 166, 230, 53, 117, 181, 245)(39, 103, 167, 231, 57, 121, 185, 249)(41, 105, 169, 233, 60, 124, 188, 252)(45, 109, 173, 237, 58, 122, 186, 250)(47, 111, 175, 239, 59, 123, 187, 251)(49, 113, 177, 241, 61, 125, 189, 253)(51, 115, 179, 243, 64, 128, 192, 256)(54, 118, 182, 246, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 86)(7, 69)(8, 92)(9, 96)(10, 100)(11, 89)(12, 93)(13, 97)(14, 67)(15, 99)(16, 98)(17, 68)(18, 101)(19, 95)(20, 94)(21, 102)(22, 91)(23, 90)(24, 70)(25, 78)(26, 77)(27, 88)(28, 83)(29, 112)(30, 82)(31, 72)(32, 80)(33, 87)(34, 73)(35, 81)(36, 85)(37, 84)(38, 74)(39, 113)(40, 122)(41, 115)(42, 76)(43, 123)(44, 124)(45, 118)(46, 121)(47, 120)(48, 106)(49, 109)(50, 126)(51, 111)(52, 127)(53, 128)(54, 103)(55, 125)(56, 105)(57, 108)(58, 107)(59, 104)(60, 110)(61, 117)(62, 116)(63, 114)(64, 119)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 217)(136, 221)(137, 225)(138, 194)(139, 231)(140, 198)(141, 235)(142, 237)(143, 236)(144, 218)(145, 238)(146, 196)(147, 234)(148, 227)(149, 197)(150, 233)(151, 232)(152, 239)(153, 240)(154, 210)(155, 199)(156, 241)(157, 202)(158, 244)(159, 246)(160, 245)(161, 212)(162, 247)(163, 201)(164, 243)(165, 242)(166, 248)(167, 214)(168, 209)(169, 203)(170, 213)(171, 207)(172, 205)(173, 216)(174, 215)(175, 206)(176, 219)(177, 228)(178, 226)(179, 220)(180, 224)(181, 222)(182, 230)(183, 229)(184, 223)(185, 256)(186, 255)(187, 254)(188, 253)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1063
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1072 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 242>$ (small group id <128, 242>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, (Y1^-1 * Y3 * Y2^-1)^2, (Y2 * Y1^-1 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 23, 87, 151, 215)(7, 71, 135, 199, 26, 90, 154, 218)(8, 72, 136, 200, 30, 94, 158, 222)(10, 74, 138, 202, 37, 101, 165, 229)(11, 75, 139, 203, 40, 104, 168, 232)(12, 76, 140, 204, 42, 106, 170, 234)(14, 78, 142, 206, 32, 96, 160, 224)(15, 79, 143, 207, 28, 92, 156, 220)(16, 80, 144, 208, 39, 103, 167, 231)(17, 81, 145, 209, 36, 100, 164, 228)(18, 82, 146, 210, 46, 110, 174, 238)(19, 83, 147, 211, 49, 113, 177, 241)(21, 85, 149, 213, 45, 109, 173, 237)(22, 86, 150, 214, 48, 112, 176, 240)(24, 88, 152, 216, 34, 98, 162, 226)(25, 89, 153, 217, 51, 115, 179, 243)(27, 91, 155, 219, 54, 118, 182, 246)(29, 93, 157, 221, 57, 121, 185, 249)(31, 95, 159, 223, 52, 116, 180, 244)(33, 97, 161, 225, 55, 119, 183, 247)(35, 99, 163, 227, 59, 123, 187, 251)(38, 102, 166, 230, 53, 117, 181, 245)(41, 105, 169, 233, 62, 126, 190, 254)(43, 107, 171, 235, 61, 125, 189, 253)(44, 108, 172, 236, 56, 120, 184, 248)(47, 111, 175, 239, 58, 122, 186, 250)(50, 114, 178, 242, 63, 127, 191, 255)(60, 124, 188, 252, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 86)(7, 69)(8, 92)(9, 96)(10, 100)(11, 89)(12, 93)(13, 97)(14, 67)(15, 106)(16, 109)(17, 68)(18, 101)(19, 95)(20, 104)(21, 102)(22, 91)(23, 108)(24, 70)(25, 78)(26, 116)(27, 88)(28, 83)(29, 114)(30, 82)(31, 72)(32, 121)(33, 87)(34, 73)(35, 118)(36, 85)(37, 122)(38, 74)(39, 119)(40, 125)(41, 120)(42, 81)(43, 76)(44, 77)(45, 126)(46, 123)(47, 124)(48, 84)(49, 80)(50, 107)(51, 99)(52, 127)(53, 90)(54, 128)(55, 110)(56, 111)(57, 98)(58, 94)(59, 103)(60, 105)(61, 112)(62, 113)(63, 117)(64, 115)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 217)(136, 221)(137, 225)(138, 194)(139, 231)(140, 198)(141, 229)(142, 238)(143, 226)(144, 218)(145, 224)(146, 196)(147, 235)(148, 227)(149, 197)(150, 233)(151, 222)(152, 239)(153, 242)(154, 210)(155, 199)(156, 247)(157, 202)(158, 246)(159, 251)(160, 245)(161, 212)(162, 244)(163, 201)(164, 248)(165, 243)(166, 252)(167, 214)(168, 209)(169, 203)(170, 254)(171, 213)(172, 253)(173, 205)(174, 216)(175, 206)(176, 207)(177, 215)(178, 219)(179, 237)(180, 240)(181, 232)(182, 241)(183, 228)(184, 220)(185, 236)(186, 234)(187, 230)(188, 223)(189, 256)(190, 255)(191, 250)(192, 249)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1064
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1073 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 239>$ (small group id <128, 239>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2^-2 * Y3 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 23, 87, 151, 215)(7, 71, 135, 199, 26, 90, 154, 218)(8, 72, 136, 200, 30, 94, 158, 222)(10, 74, 138, 202, 37, 101, 165, 229)(11, 75, 139, 203, 34, 98, 162, 226)(12, 76, 140, 204, 41, 105, 169, 233)(14, 78, 142, 206, 46, 110, 174, 238)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 47, 111, 175, 239)(17, 81, 145, 209, 31, 95, 159, 223)(18, 82, 146, 210, 40, 104, 168, 232)(19, 83, 147, 211, 43, 107, 171, 235)(21, 85, 149, 213, 49, 113, 177, 241)(22, 86, 150, 214, 32, 96, 160, 224)(24, 88, 152, 216, 48, 112, 176, 240)(25, 89, 153, 217, 51, 115, 179, 243)(27, 91, 155, 219, 54, 118, 182, 246)(28, 92, 156, 220, 53, 117, 181, 245)(29, 93, 157, 221, 57, 121, 185, 249)(33, 97, 161, 225, 60, 124, 188, 252)(35, 99, 163, 227, 56, 120, 184, 248)(36, 100, 164, 228, 52, 116, 180, 244)(39, 103, 167, 231, 58, 122, 186, 250)(42, 106, 170, 234, 62, 126, 190, 254)(44, 108, 172, 236, 59, 123, 187, 251)(45, 109, 173, 237, 61, 125, 189, 253)(50, 114, 178, 242, 63, 127, 191, 255)(55, 119, 183, 247, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 86)(7, 69)(8, 92)(9, 96)(10, 100)(11, 89)(12, 93)(13, 97)(14, 67)(15, 105)(16, 113)(17, 68)(18, 101)(19, 95)(20, 112)(21, 102)(22, 91)(23, 108)(24, 70)(25, 78)(26, 116)(27, 88)(28, 83)(29, 114)(30, 82)(31, 72)(32, 121)(33, 87)(34, 73)(35, 118)(36, 85)(37, 122)(38, 74)(39, 119)(40, 120)(41, 81)(42, 76)(43, 80)(44, 77)(45, 123)(46, 84)(47, 124)(48, 126)(49, 125)(50, 106)(51, 99)(52, 127)(53, 90)(54, 128)(55, 109)(56, 111)(57, 98)(58, 94)(59, 103)(60, 104)(61, 107)(62, 110)(63, 117)(64, 115)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 217)(136, 221)(137, 225)(138, 194)(139, 231)(140, 198)(141, 235)(142, 237)(143, 240)(144, 218)(145, 238)(146, 196)(147, 234)(148, 227)(149, 197)(150, 232)(151, 241)(152, 239)(153, 242)(154, 210)(155, 199)(156, 247)(157, 202)(158, 205)(159, 251)(160, 207)(161, 212)(162, 209)(163, 201)(164, 248)(165, 215)(166, 252)(167, 214)(168, 203)(169, 253)(170, 213)(171, 243)(172, 254)(173, 216)(174, 245)(175, 206)(176, 244)(177, 246)(178, 219)(179, 222)(180, 224)(181, 226)(182, 229)(183, 228)(184, 220)(185, 236)(186, 233)(187, 230)(188, 223)(189, 255)(190, 256)(191, 250)(192, 249)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1065
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1074 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y3 * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 30, 94)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 35, 99)(21, 85, 39, 103)(23, 87, 41, 105)(25, 89, 45, 109)(26, 90, 47, 111)(27, 91, 44, 108)(29, 93, 38, 102)(31, 95, 50, 114)(33, 97, 43, 107)(34, 98, 37, 101)(36, 100, 49, 113)(40, 104, 48, 112)(42, 106, 52, 116)(46, 110, 51, 115)(53, 117, 58, 122)(54, 118, 61, 125)(55, 119, 57, 121)(56, 120, 60, 124)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 159, 223, 145, 209)(137, 201, 147, 211, 164, 228, 149, 213)(141, 205, 153, 217, 174, 238, 154, 218)(142, 206, 155, 219, 176, 240, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(148, 212, 165, 229, 182, 246, 166, 230)(150, 214, 168, 232, 184, 248, 170, 234)(152, 216, 171, 235, 187, 251, 172, 236)(156, 220, 175, 239, 183, 247, 167, 231)(158, 222, 177, 241, 188, 252, 179, 243)(160, 224, 173, 237, 181, 245, 163, 227)(169, 233, 185, 249, 191, 255, 186, 250)(178, 242, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 159)(16, 134)(17, 136)(18, 160)(19, 165)(20, 137)(21, 166)(22, 169)(23, 138)(24, 141)(25, 171)(26, 172)(27, 175)(28, 142)(29, 167)(30, 178)(31, 143)(32, 146)(33, 173)(34, 163)(35, 162)(36, 182)(37, 147)(38, 149)(39, 157)(40, 185)(41, 150)(42, 186)(43, 153)(44, 154)(45, 161)(46, 187)(47, 155)(48, 183)(49, 189)(50, 158)(51, 190)(52, 181)(53, 180)(54, 164)(55, 176)(56, 191)(57, 168)(58, 170)(59, 174)(60, 192)(61, 177)(62, 179)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1075 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1)^2, (R * Y2)^2, Y2^4, (R * Y1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 23, 87)(16, 80, 28, 92)(17, 81, 30, 94)(19, 83, 33, 97)(21, 85, 34, 98)(25, 89, 35, 99)(26, 90, 36, 100)(27, 91, 37, 101)(29, 93, 38, 102)(31, 95, 39, 103)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(57, 121, 61, 125)(58, 122, 63, 127)(59, 123, 62, 126)(60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 150, 214, 145, 209)(137, 201, 147, 211, 152, 216, 149, 213)(141, 205, 153, 217, 148, 212, 154, 218)(142, 206, 155, 219, 158, 222, 157, 221)(146, 210, 159, 223, 156, 220, 160, 224)(161, 225, 169, 233, 163, 227, 170, 234)(162, 226, 171, 235, 164, 228, 172, 236)(165, 229, 173, 237, 167, 231, 174, 238)(166, 230, 175, 239, 168, 232, 176, 240)(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, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 150)(16, 134)(17, 136)(18, 158)(19, 154)(20, 137)(21, 153)(22, 143)(23, 138)(24, 141)(25, 149)(26, 147)(27, 160)(28, 142)(29, 159)(30, 146)(31, 157)(32, 155)(33, 164)(34, 163)(35, 162)(36, 161)(37, 168)(38, 167)(39, 166)(40, 165)(41, 172)(42, 171)(43, 170)(44, 169)(45, 176)(46, 175)(47, 174)(48, 173)(49, 180)(50, 179)(51, 178)(52, 177)(53, 184)(54, 183)(55, 182)(56, 181)(57, 188)(58, 187)(59, 186)(60, 185)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1076 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, Y3 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 30, 94)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 35, 99)(21, 85, 39, 103)(23, 87, 41, 105)(25, 89, 45, 109)(26, 90, 47, 111)(27, 91, 37, 101)(29, 93, 43, 107)(31, 95, 50, 114)(33, 97, 38, 102)(34, 98, 44, 108)(36, 100, 49, 113)(40, 104, 48, 112)(42, 106, 52, 116)(46, 110, 51, 115)(53, 117, 57, 121)(54, 118, 61, 125)(55, 119, 58, 122)(56, 120, 60, 124)(59, 123, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 159, 223, 145, 209)(137, 201, 147, 211, 164, 228, 149, 213)(141, 205, 153, 217, 174, 238, 154, 218)(142, 206, 155, 219, 176, 240, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(148, 212, 165, 229, 182, 246, 166, 230)(150, 214, 168, 232, 184, 248, 170, 234)(152, 216, 171, 235, 187, 251, 172, 236)(156, 220, 163, 227, 181, 245, 173, 237)(158, 222, 177, 241, 188, 252, 179, 243)(160, 224, 167, 231, 183, 247, 175, 239)(169, 233, 185, 249, 191, 255, 186, 250)(178, 242, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 159)(16, 134)(17, 136)(18, 160)(19, 165)(20, 137)(21, 166)(22, 169)(23, 138)(24, 141)(25, 171)(26, 172)(27, 163)(28, 142)(29, 173)(30, 178)(31, 143)(32, 146)(33, 167)(34, 175)(35, 155)(36, 182)(37, 147)(38, 149)(39, 161)(40, 185)(41, 150)(42, 186)(43, 153)(44, 154)(45, 157)(46, 187)(47, 162)(48, 181)(49, 189)(50, 158)(51, 190)(52, 183)(53, 176)(54, 164)(55, 180)(56, 191)(57, 168)(58, 170)(59, 174)(60, 192)(61, 177)(62, 179)(63, 184)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1077 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 8>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
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, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1078 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (Y3 * Y2)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y2 * Y1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3 * Y2 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 87, 23, 75, 11, 67)(4, 76, 12, 94, 30, 77, 13, 68)(7, 82, 18, 109, 45, 84, 20, 71)(8, 85, 21, 116, 52, 86, 22, 72)(10, 90, 26, 118, 54, 91, 27, 74)(14, 99, 35, 121, 57, 101, 37, 78)(15, 102, 38, 123, 59, 103, 39, 79)(16, 104, 40, 125, 61, 106, 42, 80)(17, 107, 43, 127, 63, 108, 44, 81)(19, 112, 48, 92, 28, 113, 49, 83)(24, 105, 41, 98, 34, 114, 50, 88)(25, 122, 58, 126, 62, 119, 55, 89)(29, 115, 51, 95, 31, 117, 53, 93)(32, 110, 46, 100, 36, 120, 56, 96)(33, 124, 60, 128, 64, 111, 47, 97)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 28)(12, 31)(13, 33)(15, 36)(17, 41)(18, 46)(20, 50)(21, 53)(22, 55)(23, 47)(25, 57)(26, 59)(27, 40)(29, 43)(30, 48)(32, 42)(34, 52)(35, 49)(37, 54)(38, 51)(39, 58)(44, 64)(45, 62)(56, 63)(60, 61)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 89)(75, 93)(76, 96)(77, 98)(78, 100)(80, 105)(82, 111)(84, 115)(85, 118)(86, 120)(87, 110)(88, 121)(90, 108)(91, 109)(92, 107)(94, 122)(95, 106)(97, 116)(99, 124)(101, 117)(102, 114)(103, 112)(104, 126)(113, 125)(119, 127)(123, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1079 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y3 * Y1 * Y2 * Y1^-1, (R * Y1)^2, (Y2 * Y3)^2, Y1^4, (Y1^-1 * Y2 * Y1 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 83, 19, 75, 11, 67)(4, 71, 7, 80, 16, 76, 12, 68)(8, 78, 14, 90, 26, 82, 18, 72)(10, 84, 20, 99, 35, 86, 22, 74)(13, 89, 25, 92, 28, 79, 15, 77)(17, 93, 29, 108, 44, 95, 31, 81)(21, 97, 33, 105, 41, 96, 32, 85)(23, 102, 38, 112, 48, 98, 34, 87)(24, 103, 39, 107, 43, 94, 30, 88)(27, 104, 40, 116, 52, 106, 42, 91)(36, 113, 49, 120, 56, 110, 46, 100)(37, 115, 51, 122, 58, 114, 50, 101)(45, 119, 55, 125, 61, 118, 54, 109)(47, 117, 53, 124, 60, 121, 57, 111)(59, 126, 62, 128, 64, 127, 63, 123)
	L = (1, 3)(2, 7)(4, 10)(5, 13)(6, 14)(8, 17)(9, 20)(11, 23)(12, 24)(15, 27)(16, 29)(18, 32)(19, 33)(21, 36)(22, 37)(25, 38)(26, 40)(28, 43)(30, 45)(31, 46)(34, 47)(35, 49)(39, 51)(41, 53)(42, 54)(44, 55)(48, 58)(50, 59)(52, 60)(56, 62)(57, 63)(61, 64)(65, 68)(66, 72)(67, 74)(69, 75)(70, 79)(71, 81)(73, 85)(76, 86)(77, 87)(78, 91)(80, 94)(82, 95)(83, 98)(84, 100)(88, 101)(89, 103)(90, 105)(92, 106)(93, 109)(96, 110)(97, 111)(99, 114)(102, 115)(104, 117)(107, 118)(108, 120)(112, 121)(113, 123)(116, 125)(119, 126)(122, 127)(124, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1080 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, (Y3 * Y2)^2, R * Y3 * R * Y2, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1^-2, Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y2 * Y1 * Y3)^2, (Y3 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 87, 23, 75, 11, 67)(4, 76, 12, 94, 30, 77, 13, 68)(7, 82, 18, 109, 45, 84, 20, 71)(8, 85, 21, 116, 52, 86, 22, 72)(10, 90, 26, 110, 46, 91, 27, 74)(14, 99, 35, 122, 58, 101, 37, 78)(15, 102, 38, 124, 60, 103, 39, 79)(16, 104, 40, 125, 61, 106, 42, 80)(17, 107, 43, 127, 63, 108, 44, 81)(19, 112, 48, 98, 34, 113, 49, 83)(24, 118, 54, 100, 36, 114, 50, 88)(25, 111, 47, 97, 33, 119, 55, 89)(28, 120, 56, 96, 32, 105, 41, 92)(29, 123, 59, 126, 62, 117, 53, 93)(31, 121, 57, 128, 64, 115, 51, 95)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 28)(12, 31)(13, 33)(15, 36)(17, 41)(18, 46)(20, 50)(21, 53)(22, 55)(23, 57)(25, 44)(26, 42)(27, 52)(29, 45)(30, 54)(32, 60)(34, 40)(35, 56)(37, 48)(38, 59)(39, 47)(43, 64)(49, 63)(51, 61)(58, 62)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 89)(75, 93)(76, 96)(77, 98)(78, 100)(80, 105)(82, 111)(84, 115)(85, 118)(86, 120)(87, 112)(88, 108)(90, 122)(91, 107)(92, 109)(94, 117)(95, 124)(97, 104)(99, 119)(101, 121)(102, 113)(103, 110)(106, 126)(114, 125)(116, 128)(123, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1081 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y2 * Y1 * Y3, (Y3 * Y2)^2, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, (Y1^-1 * Y3 * Y1 * Y2)^2 ]
Map::
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 72, 8, 82, 18, 74, 10, 67)(4, 75, 11, 86, 22, 76, 12, 68)(7, 79, 15, 92, 28, 81, 17, 71)(9, 83, 19, 97, 33, 84, 20, 73)(13, 89, 25, 91, 27, 78, 14, 77)(16, 93, 29, 108, 44, 94, 30, 80)(21, 100, 36, 106, 42, 96, 32, 85)(23, 102, 38, 107, 43, 95, 31, 87)(24, 103, 39, 115, 51, 101, 37, 88)(26, 104, 40, 116, 52, 105, 41, 90)(34, 112, 48, 119, 55, 110, 46, 98)(35, 113, 49, 122, 58, 111, 47, 99)(45, 120, 56, 124, 60, 118, 54, 109)(50, 117, 53, 125, 61, 123, 59, 114)(57, 126, 62, 128, 64, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 9)(5, 12)(6, 14)(8, 16)(10, 20)(11, 23)(13, 24)(15, 26)(17, 30)(18, 32)(19, 34)(21, 35)(22, 37)(25, 36)(27, 41)(28, 43)(29, 45)(31, 46)(33, 47)(38, 50)(39, 49)(40, 53)(42, 54)(44, 55)(48, 57)(51, 59)(52, 60)(56, 62)(58, 63)(61, 64)(65, 68)(66, 72)(67, 73)(69, 77)(70, 79)(71, 80)(74, 85)(75, 83)(76, 88)(78, 90)(81, 95)(82, 93)(84, 99)(86, 102)(87, 98)(89, 103)(91, 106)(92, 104)(94, 110)(96, 109)(97, 112)(100, 113)(101, 114)(105, 118)(107, 117)(108, 120)(111, 121)(115, 122)(116, 125)(119, 126)(123, 127)(124, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1082 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (Y2 * Y1)^2, (R * Y3)^2, Y2 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y1 * Y3 * Y1 * Y3^2 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^-2 * Y1, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 25, 89, 10, 74)(6, 70, 16, 80, 42, 106, 17, 81)(11, 75, 29, 93, 52, 116, 30, 94)(12, 76, 31, 95, 43, 107, 32, 96)(14, 78, 36, 100, 41, 105, 37, 101)(15, 79, 38, 102, 57, 121, 39, 103)(18, 82, 46, 110, 35, 99, 47, 111)(19, 83, 48, 112, 26, 90, 49, 113)(21, 85, 53, 117, 24, 88, 54, 118)(22, 86, 55, 119, 61, 125, 56, 120)(23, 87, 50, 114, 63, 127, 58, 122)(27, 91, 60, 124, 28, 92, 51, 115)(33, 97, 59, 123, 62, 126, 40, 104)(34, 98, 44, 108, 64, 128, 45, 109)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 151)(138, 154)(140, 156)(141, 161)(143, 163)(144, 168)(145, 171)(147, 173)(148, 178)(150, 180)(152, 185)(153, 174)(155, 187)(157, 170)(158, 175)(159, 184)(160, 177)(162, 182)(164, 181)(165, 179)(166, 183)(167, 176)(169, 189)(172, 191)(186, 190)(188, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 216)(202, 219)(203, 220)(205, 226)(206, 227)(208, 233)(209, 236)(210, 237)(212, 243)(213, 244)(215, 249)(217, 248)(218, 251)(221, 240)(222, 250)(223, 238)(224, 245)(225, 246)(228, 241)(229, 242)(230, 252)(231, 234)(232, 253)(235, 255)(239, 254)(247, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1090
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1083 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y1, (Y1 * Y2)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y2, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 17, 81, 8, 72)(3, 67, 9, 73, 20, 84, 10, 74)(6, 70, 14, 78, 27, 91, 15, 79)(11, 75, 22, 86, 38, 102, 23, 87)(13, 77, 25, 89, 39, 103, 24, 88)(16, 80, 29, 93, 45, 109, 30, 94)(18, 82, 32, 96, 46, 110, 31, 95)(19, 83, 33, 97, 48, 112, 34, 98)(21, 85, 36, 100, 49, 113, 35, 99)(26, 90, 40, 104, 53, 117, 41, 105)(28, 92, 43, 107, 54, 118, 42, 106)(37, 101, 50, 114, 59, 123, 51, 115)(44, 108, 55, 119, 62, 126, 56, 120)(47, 111, 57, 121, 63, 127, 58, 122)(52, 116, 60, 124, 64, 128, 61, 125)(129, 130)(131, 134)(132, 139)(133, 138)(135, 144)(136, 143)(137, 147)(140, 152)(141, 149)(142, 154)(145, 159)(146, 156)(148, 163)(150, 165)(151, 158)(153, 160)(155, 170)(157, 172)(161, 175)(162, 169)(164, 171)(166, 176)(167, 179)(168, 180)(173, 181)(174, 184)(177, 186)(178, 185)(182, 189)(183, 188)(187, 190)(191, 192)(193, 195)(194, 198)(196, 199)(197, 205)(200, 210)(201, 206)(202, 213)(203, 208)(204, 214)(207, 220)(209, 221)(211, 218)(212, 225)(215, 226)(216, 229)(217, 228)(219, 232)(222, 233)(223, 236)(224, 235)(227, 239)(230, 242)(231, 238)(234, 244)(237, 247)(240, 249)(241, 246)(243, 248)(245, 252)(250, 253)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1091
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1084 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y1 * Y3^-2 * Y2 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 25, 89, 10, 74)(6, 70, 16, 80, 42, 106, 17, 81)(11, 75, 29, 93, 44, 108, 30, 94)(12, 76, 31, 95, 59, 123, 32, 96)(14, 78, 36, 100, 45, 109, 37, 101)(15, 79, 38, 102, 40, 104, 39, 103)(18, 82, 46, 110, 27, 91, 47, 111)(19, 83, 48, 112, 63, 127, 49, 113)(21, 85, 53, 117, 28, 92, 54, 118)(22, 86, 55, 119, 23, 87, 56, 120)(24, 88, 51, 115, 35, 99, 58, 122)(26, 90, 60, 124, 61, 125, 50, 114)(33, 97, 43, 107, 64, 128, 57, 121)(34, 98, 52, 116, 62, 126, 41, 105)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 151)(138, 154)(140, 156)(141, 161)(143, 163)(144, 168)(145, 171)(147, 173)(148, 178)(150, 180)(152, 185)(153, 182)(155, 187)(157, 179)(158, 175)(159, 184)(160, 177)(162, 174)(164, 181)(165, 170)(166, 183)(167, 176)(169, 189)(172, 191)(186, 190)(188, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 216)(202, 219)(203, 220)(205, 226)(206, 227)(208, 233)(209, 236)(210, 237)(212, 243)(213, 244)(215, 249)(217, 240)(218, 251)(221, 242)(222, 247)(223, 234)(224, 250)(225, 238)(228, 252)(229, 248)(230, 239)(231, 246)(232, 253)(235, 255)(241, 254)(245, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1092
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1085 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y1 * Y3^-1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y2 * Y1)^2, Y1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 17, 81, 8, 72)(3, 67, 9, 73, 20, 84, 10, 74)(6, 70, 14, 78, 27, 91, 15, 79)(11, 75, 22, 86, 38, 102, 23, 87)(13, 77, 25, 89, 39, 103, 24, 88)(16, 80, 29, 93, 45, 109, 30, 94)(18, 82, 32, 96, 46, 110, 31, 95)(19, 83, 33, 97, 48, 112, 34, 98)(21, 85, 36, 100, 49, 113, 35, 99)(26, 90, 40, 104, 53, 117, 41, 105)(28, 92, 43, 107, 54, 118, 42, 106)(37, 101, 50, 114, 59, 123, 51, 115)(44, 108, 55, 119, 62, 126, 56, 120)(47, 111, 57, 121, 63, 127, 58, 122)(52, 116, 60, 124, 64, 128, 61, 125)(129, 130)(131, 134)(132, 137)(133, 141)(135, 142)(136, 146)(138, 149)(139, 147)(140, 150)(143, 156)(144, 154)(145, 157)(148, 161)(151, 158)(152, 165)(153, 160)(155, 168)(159, 172)(162, 169)(163, 175)(164, 171)(166, 178)(167, 177)(170, 180)(173, 183)(174, 182)(176, 185)(179, 186)(181, 188)(184, 189)(187, 190)(191, 192)(193, 195)(194, 198)(196, 203)(197, 200)(199, 208)(201, 211)(202, 207)(204, 216)(205, 210)(206, 218)(209, 223)(212, 227)(213, 220)(214, 229)(215, 226)(217, 228)(219, 234)(221, 236)(222, 233)(224, 235)(225, 239)(230, 237)(231, 243)(232, 244)(238, 248)(240, 245)(241, 250)(242, 247)(246, 253)(249, 252)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1093
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1086 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 22, 86)(7, 71, 24, 88)(8, 72, 27, 91)(10, 74, 34, 98)(11, 75, 36, 100)(12, 76, 39, 103)(14, 78, 29, 93)(15, 79, 44, 108)(16, 80, 46, 110)(17, 81, 33, 97)(18, 82, 43, 107)(19, 83, 47, 111)(21, 85, 45, 109)(23, 87, 49, 113)(25, 89, 54, 118)(26, 90, 56, 120)(28, 92, 51, 115)(30, 94, 60, 124)(31, 95, 53, 117)(32, 96, 59, 123)(35, 99, 52, 116)(37, 101, 62, 126)(38, 102, 58, 122)(40, 104, 61, 125)(41, 105, 57, 121)(42, 106, 50, 114)(48, 112, 63, 127)(55, 119, 64, 128)(129, 130, 135, 133)(131, 139, 163, 142)(132, 143, 167, 145)(134, 149, 156, 136)(137, 157, 184, 159)(138, 161, 178, 151)(140, 166, 176, 168)(141, 158, 150, 169)(144, 164, 189, 175)(146, 162, 186, 155)(147, 153, 181, 172)(148, 170, 190, 173)(152, 179, 191, 180)(154, 183, 165, 185)(160, 182, 192, 177)(171, 187, 174, 188)(193, 195, 204, 198)(194, 200, 218, 202)(196, 208, 216, 210)(197, 211, 229, 203)(199, 215, 240, 217)(201, 222, 212, 224)(205, 226, 244, 234)(206, 235, 245, 230)(207, 219, 246, 237)(209, 221, 241, 228)(213, 232, 242, 238)(214, 223, 243, 239)(220, 251, 227, 247)(225, 249, 236, 252)(231, 254, 255, 248)(233, 253, 256, 250)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1094
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1087 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^4, Y2^4, Y3 * Y1^-1 * Y3 * Y2^-1, Y2^-2 * Y1^2 * Y2^-2 * Y1^-2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 16, 80)(6, 70, 15, 79)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 25, 89)(11, 75, 28, 92)(12, 76, 31, 95)(14, 78, 33, 97)(17, 81, 36, 100)(18, 82, 35, 99)(19, 83, 40, 104)(21, 85, 42, 106)(22, 86, 45, 109)(24, 88, 47, 111)(26, 90, 49, 113)(27, 91, 51, 115)(29, 93, 52, 116)(30, 94, 53, 117)(32, 96, 54, 118)(34, 98, 55, 119)(37, 101, 57, 121)(38, 102, 56, 120)(39, 103, 58, 122)(41, 105, 59, 123)(43, 107, 60, 124)(44, 108, 61, 125)(46, 110, 62, 126)(48, 112, 63, 127)(50, 114, 64, 128)(129, 130, 135, 133)(131, 139, 155, 142)(132, 143, 159, 141)(134, 146, 152, 136)(137, 153, 173, 151)(138, 154, 169, 147)(140, 158, 167, 160)(144, 156, 180, 164)(145, 149, 171, 165)(148, 170, 186, 168)(150, 172, 157, 174)(161, 181, 188, 183)(162, 176, 166, 178)(163, 184, 187, 182)(175, 189, 179, 191)(177, 192, 185, 190)(193, 195, 204, 198)(194, 200, 214, 202)(196, 208, 212, 201)(197, 209, 221, 203)(199, 211, 231, 213)(205, 225, 243, 220)(206, 226, 235, 222)(207, 215, 239, 227)(210, 224, 233, 230)(216, 240, 219, 236)(217, 232, 251, 241)(218, 238, 229, 242)(223, 246, 250, 245)(228, 249, 252, 234)(237, 254, 244, 253)(247, 256, 248, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1095
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1088 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y2^-2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 22, 86)(7, 71, 24, 88)(8, 72, 27, 91)(10, 74, 34, 98)(11, 75, 31, 95)(12, 76, 32, 96)(14, 78, 43, 107)(15, 79, 35, 99)(16, 80, 37, 101)(17, 81, 25, 89)(18, 82, 36, 100)(19, 83, 45, 109)(21, 85, 29, 93)(23, 87, 49, 113)(26, 90, 53, 117)(28, 92, 59, 123)(30, 94, 55, 119)(33, 97, 51, 115)(38, 102, 52, 116)(39, 103, 48, 112)(40, 104, 58, 122)(41, 105, 54, 118)(42, 106, 62, 126)(44, 108, 56, 120)(46, 110, 61, 125)(47, 111, 57, 121)(50, 114, 64, 128)(60, 124, 63, 127)(129, 130, 135, 133)(131, 139, 163, 142)(132, 143, 172, 145)(134, 149, 156, 136)(137, 157, 144, 159)(138, 161, 178, 151)(140, 165, 176, 166)(141, 167, 189, 168)(146, 171, 185, 155)(147, 153, 182, 174)(148, 169, 180, 162)(150, 152, 179, 158)(154, 183, 164, 184)(160, 187, 191, 177)(170, 186, 175, 188)(173, 181, 192, 190)(193, 195, 204, 198)(194, 200, 218, 202)(196, 208, 232, 210)(197, 211, 228, 203)(199, 215, 240, 217)(201, 222, 249, 224)(205, 221, 241, 233)(206, 234, 246, 229)(207, 219, 243, 237)(209, 226, 214, 223)(212, 236, 254, 231)(213, 230, 242, 239)(216, 244, 255, 245)(220, 250, 227, 247)(225, 248, 238, 252)(235, 253, 256, 251)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1096
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1089 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (Y1 * Y2)^2, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3 * Y1^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, (Y2 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 22, 86)(7, 71, 24, 88)(8, 72, 27, 91)(10, 74, 34, 98)(11, 75, 36, 100)(12, 76, 39, 103)(14, 78, 43, 107)(15, 79, 23, 87)(16, 80, 26, 90)(17, 81, 28, 92)(18, 82, 40, 104)(19, 83, 29, 93)(21, 85, 45, 109)(25, 89, 54, 118)(30, 94, 48, 112)(31, 95, 49, 113)(32, 96, 56, 120)(33, 97, 59, 123)(35, 99, 61, 125)(37, 101, 50, 114)(38, 102, 52, 116)(41, 105, 55, 119)(42, 106, 62, 126)(44, 108, 57, 121)(46, 110, 51, 115)(47, 111, 58, 122)(53, 117, 64, 128)(60, 124, 63, 127)(129, 130, 135, 133)(131, 139, 163, 142)(132, 143, 160, 145)(134, 149, 156, 136)(137, 157, 180, 159)(138, 161, 177, 151)(140, 166, 176, 168)(141, 169, 179, 152)(144, 164, 190, 173)(146, 171, 148, 155)(147, 153, 181, 174)(150, 172, 187, 158)(154, 183, 165, 184)(162, 186, 192, 178)(167, 182, 191, 189)(170, 185, 175, 188)(193, 195, 204, 198)(194, 200, 218, 202)(196, 208, 236, 210)(197, 211, 229, 203)(199, 215, 240, 217)(201, 222, 250, 224)(205, 221, 207, 219)(206, 234, 245, 230)(209, 226, 243, 228)(212, 231, 254, 233)(213, 232, 241, 239)(214, 223, 246, 235)(216, 242, 255, 244)(220, 249, 227, 247)(225, 248, 238, 252)(237, 253, 256, 251)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1097
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1090 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (Y2 * Y1)^2, (R * Y3)^2, Y2 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y1 * Y3 * Y1 * Y3^2 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^-2 * Y1, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 25, 89, 153, 217, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 42, 106, 170, 234, 17, 81, 145, 209)(11, 75, 139, 203, 29, 93, 157, 221, 52, 116, 180, 244, 30, 94, 158, 222)(12, 76, 140, 204, 31, 95, 159, 223, 43, 107, 171, 235, 32, 96, 160, 224)(14, 78, 142, 206, 36, 100, 164, 228, 41, 105, 169, 233, 37, 101, 165, 229)(15, 79, 143, 207, 38, 102, 166, 230, 57, 121, 185, 249, 39, 103, 167, 231)(18, 82, 146, 210, 46, 110, 174, 238, 35, 99, 163, 227, 47, 111, 175, 239)(19, 83, 147, 211, 48, 112, 176, 240, 26, 90, 154, 218, 49, 113, 177, 241)(21, 85, 149, 213, 53, 117, 181, 245, 24, 88, 152, 216, 54, 118, 182, 246)(22, 86, 150, 214, 55, 119, 183, 247, 61, 125, 189, 253, 56, 120, 184, 248)(23, 87, 151, 215, 50, 114, 178, 242, 63, 127, 191, 255, 58, 122, 186, 250)(27, 91, 155, 219, 60, 124, 188, 252, 28, 92, 156, 220, 51, 115, 179, 243)(33, 97, 161, 225, 59, 123, 187, 251, 62, 126, 190, 254, 40, 104, 168, 232)(34, 98, 162, 226, 44, 108, 172, 236, 64, 128, 192, 256, 45, 109, 173, 237)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 87)(10, 90)(11, 68)(12, 92)(13, 97)(14, 69)(15, 99)(16, 104)(17, 107)(18, 71)(19, 109)(20, 114)(21, 72)(22, 116)(23, 73)(24, 121)(25, 110)(26, 74)(27, 123)(28, 76)(29, 106)(30, 111)(31, 120)(32, 113)(33, 77)(34, 118)(35, 79)(36, 117)(37, 115)(38, 119)(39, 112)(40, 80)(41, 125)(42, 93)(43, 81)(44, 127)(45, 83)(46, 89)(47, 94)(48, 103)(49, 96)(50, 84)(51, 101)(52, 86)(53, 100)(54, 98)(55, 102)(56, 95)(57, 88)(58, 126)(59, 91)(60, 128)(61, 105)(62, 122)(63, 108)(64, 124)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 216)(138, 219)(139, 220)(140, 196)(141, 226)(142, 227)(143, 197)(144, 233)(145, 236)(146, 237)(147, 199)(148, 243)(149, 244)(150, 200)(151, 249)(152, 201)(153, 248)(154, 251)(155, 202)(156, 203)(157, 240)(158, 250)(159, 238)(160, 245)(161, 246)(162, 205)(163, 206)(164, 241)(165, 242)(166, 252)(167, 234)(168, 253)(169, 208)(170, 231)(171, 255)(172, 209)(173, 210)(174, 223)(175, 254)(176, 221)(177, 228)(178, 229)(179, 212)(180, 213)(181, 224)(182, 225)(183, 256)(184, 217)(185, 215)(186, 222)(187, 218)(188, 230)(189, 232)(190, 239)(191, 235)(192, 247)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1082
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1091 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3^-1 * Y1, (Y1 * Y2)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y2, (Y3 * Y1 * Y3^-1 * Y2)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 20, 84, 148, 212, 10, 74, 138, 202)(6, 70, 134, 198, 14, 78, 142, 206, 27, 91, 155, 219, 15, 79, 143, 207)(11, 75, 139, 203, 22, 86, 150, 214, 38, 102, 166, 230, 23, 87, 151, 215)(13, 77, 141, 205, 25, 89, 153, 217, 39, 103, 167, 231, 24, 88, 152, 216)(16, 80, 144, 208, 29, 93, 157, 221, 45, 109, 173, 237, 30, 94, 158, 222)(18, 82, 146, 210, 32, 96, 160, 224, 46, 110, 174, 238, 31, 95, 159, 223)(19, 83, 147, 211, 33, 97, 161, 225, 48, 112, 176, 240, 34, 98, 162, 226)(21, 85, 149, 213, 36, 100, 164, 228, 49, 113, 177, 241, 35, 99, 163, 227)(26, 90, 154, 218, 40, 104, 168, 232, 53, 117, 181, 245, 41, 105, 169, 233)(28, 92, 156, 220, 43, 107, 171, 235, 54, 118, 182, 246, 42, 106, 170, 234)(37, 101, 165, 229, 50, 114, 178, 242, 59, 123, 187, 251, 51, 115, 179, 243)(44, 108, 172, 236, 55, 119, 183, 247, 62, 126, 190, 254, 56, 120, 184, 248)(47, 111, 175, 239, 57, 121, 185, 249, 63, 127, 191, 255, 58, 122, 186, 250)(52, 116, 180, 244, 60, 124, 188, 252, 64, 128, 192, 256, 61, 125, 189, 253)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 74)(6, 67)(7, 80)(8, 79)(9, 83)(10, 69)(11, 68)(12, 88)(13, 85)(14, 90)(15, 72)(16, 71)(17, 95)(18, 92)(19, 73)(20, 99)(21, 77)(22, 101)(23, 94)(24, 76)(25, 96)(26, 78)(27, 106)(28, 82)(29, 108)(30, 87)(31, 81)(32, 89)(33, 111)(34, 105)(35, 84)(36, 107)(37, 86)(38, 112)(39, 115)(40, 116)(41, 98)(42, 91)(43, 100)(44, 93)(45, 117)(46, 120)(47, 97)(48, 102)(49, 122)(50, 121)(51, 103)(52, 104)(53, 109)(54, 125)(55, 124)(56, 110)(57, 114)(58, 113)(59, 126)(60, 119)(61, 118)(62, 123)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 199)(133, 205)(134, 194)(135, 196)(136, 210)(137, 206)(138, 213)(139, 208)(140, 214)(141, 197)(142, 201)(143, 220)(144, 203)(145, 221)(146, 200)(147, 218)(148, 225)(149, 202)(150, 204)(151, 226)(152, 229)(153, 228)(154, 211)(155, 232)(156, 207)(157, 209)(158, 233)(159, 236)(160, 235)(161, 212)(162, 215)(163, 239)(164, 217)(165, 216)(166, 242)(167, 238)(168, 219)(169, 222)(170, 244)(171, 224)(172, 223)(173, 247)(174, 231)(175, 227)(176, 249)(177, 246)(178, 230)(179, 248)(180, 234)(181, 252)(182, 241)(183, 237)(184, 243)(185, 240)(186, 253)(187, 255)(188, 245)(189, 250)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1083
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1092 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 931>$ (small group id <128, 931>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, Y3^4, (R * Y3)^2, Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1, Y3^-1 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3 * Y1 * Y3^-2 * Y2 * Y3 * Y1, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 25, 89, 153, 217, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 42, 106, 170, 234, 17, 81, 145, 209)(11, 75, 139, 203, 29, 93, 157, 221, 44, 108, 172, 236, 30, 94, 158, 222)(12, 76, 140, 204, 31, 95, 159, 223, 59, 123, 187, 251, 32, 96, 160, 224)(14, 78, 142, 206, 36, 100, 164, 228, 45, 109, 173, 237, 37, 101, 165, 229)(15, 79, 143, 207, 38, 102, 166, 230, 40, 104, 168, 232, 39, 103, 167, 231)(18, 82, 146, 210, 46, 110, 174, 238, 27, 91, 155, 219, 47, 111, 175, 239)(19, 83, 147, 211, 48, 112, 176, 240, 63, 127, 191, 255, 49, 113, 177, 241)(21, 85, 149, 213, 53, 117, 181, 245, 28, 92, 156, 220, 54, 118, 182, 246)(22, 86, 150, 214, 55, 119, 183, 247, 23, 87, 151, 215, 56, 120, 184, 248)(24, 88, 152, 216, 51, 115, 179, 243, 35, 99, 163, 227, 58, 122, 186, 250)(26, 90, 154, 218, 60, 124, 188, 252, 61, 125, 189, 253, 50, 114, 178, 242)(33, 97, 161, 225, 43, 107, 171, 235, 64, 128, 192, 256, 57, 121, 185, 249)(34, 98, 162, 226, 52, 116, 180, 244, 62, 126, 190, 254, 41, 105, 169, 233)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 87)(10, 90)(11, 68)(12, 92)(13, 97)(14, 69)(15, 99)(16, 104)(17, 107)(18, 71)(19, 109)(20, 114)(21, 72)(22, 116)(23, 73)(24, 121)(25, 118)(26, 74)(27, 123)(28, 76)(29, 115)(30, 111)(31, 120)(32, 113)(33, 77)(34, 110)(35, 79)(36, 117)(37, 106)(38, 119)(39, 112)(40, 80)(41, 125)(42, 101)(43, 81)(44, 127)(45, 83)(46, 98)(47, 94)(48, 103)(49, 96)(50, 84)(51, 93)(52, 86)(53, 100)(54, 89)(55, 102)(56, 95)(57, 88)(58, 126)(59, 91)(60, 128)(61, 105)(62, 122)(63, 108)(64, 124)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 216)(138, 219)(139, 220)(140, 196)(141, 226)(142, 227)(143, 197)(144, 233)(145, 236)(146, 237)(147, 199)(148, 243)(149, 244)(150, 200)(151, 249)(152, 201)(153, 240)(154, 251)(155, 202)(156, 203)(157, 242)(158, 247)(159, 234)(160, 250)(161, 238)(162, 205)(163, 206)(164, 252)(165, 248)(166, 239)(167, 246)(168, 253)(169, 208)(170, 223)(171, 255)(172, 209)(173, 210)(174, 225)(175, 230)(176, 217)(177, 254)(178, 221)(179, 212)(180, 213)(181, 256)(182, 231)(183, 222)(184, 229)(185, 215)(186, 224)(187, 218)(188, 228)(189, 232)(190, 241)(191, 235)(192, 245)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1084
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1093 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y1 * Y3^-1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y2 * Y1)^2, Y1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 17, 81, 145, 209, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 20, 84, 148, 212, 10, 74, 138, 202)(6, 70, 134, 198, 14, 78, 142, 206, 27, 91, 155, 219, 15, 79, 143, 207)(11, 75, 139, 203, 22, 86, 150, 214, 38, 102, 166, 230, 23, 87, 151, 215)(13, 77, 141, 205, 25, 89, 153, 217, 39, 103, 167, 231, 24, 88, 152, 216)(16, 80, 144, 208, 29, 93, 157, 221, 45, 109, 173, 237, 30, 94, 158, 222)(18, 82, 146, 210, 32, 96, 160, 224, 46, 110, 174, 238, 31, 95, 159, 223)(19, 83, 147, 211, 33, 97, 161, 225, 48, 112, 176, 240, 34, 98, 162, 226)(21, 85, 149, 213, 36, 100, 164, 228, 49, 113, 177, 241, 35, 99, 163, 227)(26, 90, 154, 218, 40, 104, 168, 232, 53, 117, 181, 245, 41, 105, 169, 233)(28, 92, 156, 220, 43, 107, 171, 235, 54, 118, 182, 246, 42, 106, 170, 234)(37, 101, 165, 229, 50, 114, 178, 242, 59, 123, 187, 251, 51, 115, 179, 243)(44, 108, 172, 236, 55, 119, 183, 247, 62, 126, 190, 254, 56, 120, 184, 248)(47, 111, 175, 239, 57, 121, 185, 249, 63, 127, 191, 255, 58, 122, 186, 250)(52, 116, 180, 244, 60, 124, 188, 252, 64, 128, 192, 256, 61, 125, 189, 253)
	L = (1, 66)(2, 65)(3, 70)(4, 73)(5, 77)(6, 67)(7, 78)(8, 82)(9, 68)(10, 85)(11, 83)(12, 86)(13, 69)(14, 71)(15, 92)(16, 90)(17, 93)(18, 72)(19, 75)(20, 97)(21, 74)(22, 76)(23, 94)(24, 101)(25, 96)(26, 80)(27, 104)(28, 79)(29, 81)(30, 87)(31, 108)(32, 89)(33, 84)(34, 105)(35, 111)(36, 107)(37, 88)(38, 114)(39, 113)(40, 91)(41, 98)(42, 116)(43, 100)(44, 95)(45, 119)(46, 118)(47, 99)(48, 121)(49, 103)(50, 102)(51, 122)(52, 106)(53, 124)(54, 110)(55, 109)(56, 125)(57, 112)(58, 115)(59, 126)(60, 117)(61, 120)(62, 123)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 203)(133, 200)(134, 194)(135, 208)(136, 197)(137, 211)(138, 207)(139, 196)(140, 216)(141, 210)(142, 218)(143, 202)(144, 199)(145, 223)(146, 205)(147, 201)(148, 227)(149, 220)(150, 229)(151, 226)(152, 204)(153, 228)(154, 206)(155, 234)(156, 213)(157, 236)(158, 233)(159, 209)(160, 235)(161, 239)(162, 215)(163, 212)(164, 217)(165, 214)(166, 237)(167, 243)(168, 244)(169, 222)(170, 219)(171, 224)(172, 221)(173, 230)(174, 248)(175, 225)(176, 245)(177, 250)(178, 247)(179, 231)(180, 232)(181, 240)(182, 253)(183, 242)(184, 238)(185, 252)(186, 241)(187, 255)(188, 249)(189, 246)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1085
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1094 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^4, Y2^4, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 22, 86, 150, 214)(7, 71, 135, 199, 24, 88, 152, 216)(8, 72, 136, 200, 27, 91, 155, 219)(10, 74, 138, 202, 34, 98, 162, 226)(11, 75, 139, 203, 36, 100, 164, 228)(12, 76, 140, 204, 39, 103, 167, 231)(14, 78, 142, 206, 29, 93, 157, 221)(15, 79, 143, 207, 44, 108, 172, 236)(16, 80, 144, 208, 46, 110, 174, 238)(17, 81, 145, 209, 33, 97, 161, 225)(18, 82, 146, 210, 43, 107, 171, 235)(19, 83, 147, 211, 47, 111, 175, 239)(21, 85, 149, 213, 45, 109, 173, 237)(23, 87, 151, 215, 49, 113, 177, 241)(25, 89, 153, 217, 54, 118, 182, 246)(26, 90, 154, 218, 56, 120, 184, 248)(28, 92, 156, 220, 51, 115, 179, 243)(30, 94, 158, 222, 60, 124, 188, 252)(31, 95, 159, 223, 53, 117, 181, 245)(32, 96, 160, 224, 59, 123, 187, 251)(35, 99, 163, 227, 52, 116, 180, 244)(37, 101, 165, 229, 62, 126, 190, 254)(38, 102, 166, 230, 58, 122, 186, 250)(40, 104, 168, 232, 61, 125, 189, 253)(41, 105, 169, 233, 57, 121, 185, 249)(42, 106, 170, 234, 50, 114, 178, 242)(48, 112, 176, 240, 63, 127, 191, 255)(55, 119, 183, 247, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 85)(7, 69)(8, 70)(9, 93)(10, 97)(11, 99)(12, 102)(13, 94)(14, 67)(15, 103)(16, 100)(17, 68)(18, 98)(19, 89)(20, 106)(21, 92)(22, 105)(23, 74)(24, 115)(25, 117)(26, 119)(27, 82)(28, 72)(29, 120)(30, 86)(31, 73)(32, 118)(33, 114)(34, 122)(35, 78)(36, 125)(37, 121)(38, 112)(39, 81)(40, 76)(41, 77)(42, 126)(43, 123)(44, 83)(45, 84)(46, 124)(47, 80)(48, 104)(49, 96)(50, 87)(51, 127)(52, 88)(53, 108)(54, 128)(55, 101)(56, 95)(57, 90)(58, 91)(59, 110)(60, 107)(61, 111)(62, 109)(63, 116)(64, 113)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 215)(136, 218)(137, 222)(138, 194)(139, 197)(140, 198)(141, 226)(142, 235)(143, 219)(144, 216)(145, 221)(146, 196)(147, 229)(148, 224)(149, 232)(150, 223)(151, 240)(152, 210)(153, 199)(154, 202)(155, 246)(156, 251)(157, 241)(158, 212)(159, 243)(160, 201)(161, 249)(162, 244)(163, 247)(164, 209)(165, 203)(166, 206)(167, 254)(168, 242)(169, 253)(170, 205)(171, 245)(172, 252)(173, 207)(174, 213)(175, 214)(176, 217)(177, 228)(178, 238)(179, 239)(180, 234)(181, 230)(182, 237)(183, 220)(184, 231)(185, 236)(186, 233)(187, 227)(188, 225)(189, 256)(190, 255)(191, 248)(192, 250)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1086
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1095 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, (Y1^-1 * Y2^-1)^2, Y1^4, Y2^4, Y3 * Y1^-1 * Y3 * Y2^-1, Y2^-2 * Y1^2 * Y2^-2 * Y1^-2, (Y2 * Y1^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 16, 80, 144, 208)(6, 70, 134, 198, 15, 79, 143, 207)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 23, 87, 151, 215)(10, 74, 138, 202, 25, 89, 153, 217)(11, 75, 139, 203, 28, 92, 156, 220)(12, 76, 140, 204, 31, 95, 159, 223)(14, 78, 142, 206, 33, 97, 161, 225)(17, 81, 145, 209, 36, 100, 164, 228)(18, 82, 146, 210, 35, 99, 163, 227)(19, 83, 147, 211, 40, 104, 168, 232)(21, 85, 149, 213, 42, 106, 170, 234)(22, 86, 150, 214, 45, 109, 173, 237)(24, 88, 152, 216, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(30, 94, 158, 222, 53, 117, 181, 245)(32, 96, 160, 224, 54, 118, 182, 246)(34, 98, 162, 226, 55, 119, 183, 247)(37, 101, 165, 229, 57, 121, 185, 249)(38, 102, 166, 230, 56, 120, 184, 248)(39, 103, 167, 231, 58, 122, 186, 250)(41, 105, 169, 233, 59, 123, 187, 251)(43, 107, 171, 235, 60, 124, 188, 252)(44, 108, 172, 236, 61, 125, 189, 253)(46, 110, 174, 238, 62, 126, 190, 254)(48, 112, 176, 240, 63, 127, 191, 255)(50, 114, 178, 242, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 82)(7, 69)(8, 70)(9, 89)(10, 90)(11, 91)(12, 94)(13, 68)(14, 67)(15, 95)(16, 92)(17, 85)(18, 88)(19, 74)(20, 106)(21, 107)(22, 108)(23, 73)(24, 72)(25, 109)(26, 105)(27, 78)(28, 116)(29, 110)(30, 103)(31, 77)(32, 76)(33, 117)(34, 112)(35, 120)(36, 80)(37, 81)(38, 114)(39, 96)(40, 84)(41, 83)(42, 122)(43, 101)(44, 93)(45, 87)(46, 86)(47, 125)(48, 102)(49, 128)(50, 98)(51, 127)(52, 100)(53, 124)(54, 99)(55, 97)(56, 123)(57, 126)(58, 104)(59, 118)(60, 119)(61, 115)(62, 113)(63, 111)(64, 121)(129, 195)(130, 200)(131, 204)(132, 208)(133, 209)(134, 193)(135, 211)(136, 214)(137, 196)(138, 194)(139, 197)(140, 198)(141, 225)(142, 226)(143, 215)(144, 212)(145, 221)(146, 224)(147, 231)(148, 201)(149, 199)(150, 202)(151, 239)(152, 240)(153, 232)(154, 238)(155, 236)(156, 205)(157, 203)(158, 206)(159, 246)(160, 233)(161, 243)(162, 235)(163, 207)(164, 249)(165, 242)(166, 210)(167, 213)(168, 251)(169, 230)(170, 228)(171, 222)(172, 216)(173, 254)(174, 229)(175, 227)(176, 219)(177, 217)(178, 218)(179, 220)(180, 253)(181, 223)(182, 250)(183, 256)(184, 255)(185, 252)(186, 245)(187, 241)(188, 234)(189, 237)(190, 244)(191, 247)(192, 248)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1087
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1096 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, R * Y1 * R * Y2, Y2^4, Y3 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, Y3 * Y2^-2 * Y1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y1 * Y3 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, Y2^-2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 22, 86, 150, 214)(7, 71, 135, 199, 24, 88, 152, 216)(8, 72, 136, 200, 27, 91, 155, 219)(10, 74, 138, 202, 34, 98, 162, 226)(11, 75, 139, 203, 31, 95, 159, 223)(12, 76, 140, 204, 32, 96, 160, 224)(14, 78, 142, 206, 43, 107, 171, 235)(15, 79, 143, 207, 35, 99, 163, 227)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 25, 89, 153, 217)(18, 82, 146, 210, 36, 100, 164, 228)(19, 83, 147, 211, 45, 109, 173, 237)(21, 85, 149, 213, 29, 93, 157, 221)(23, 87, 151, 215, 49, 113, 177, 241)(26, 90, 154, 218, 53, 117, 181, 245)(28, 92, 156, 220, 59, 123, 187, 251)(30, 94, 158, 222, 55, 119, 183, 247)(33, 97, 161, 225, 51, 115, 179, 243)(38, 102, 166, 230, 52, 116, 180, 244)(39, 103, 167, 231, 48, 112, 176, 240)(40, 104, 168, 232, 58, 122, 186, 250)(41, 105, 169, 233, 54, 118, 182, 246)(42, 106, 170, 234, 62, 126, 190, 254)(44, 108, 172, 236, 56, 120, 184, 248)(46, 110, 174, 238, 61, 125, 189, 253)(47, 111, 175, 239, 57, 121, 185, 249)(50, 114, 178, 242, 64, 128, 192, 256)(60, 124, 188, 252, 63, 127, 191, 255)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 85)(7, 69)(8, 70)(9, 93)(10, 97)(11, 99)(12, 101)(13, 103)(14, 67)(15, 108)(16, 95)(17, 68)(18, 107)(19, 89)(20, 105)(21, 92)(22, 88)(23, 74)(24, 115)(25, 118)(26, 119)(27, 82)(28, 72)(29, 80)(30, 86)(31, 73)(32, 123)(33, 114)(34, 84)(35, 78)(36, 120)(37, 112)(38, 76)(39, 125)(40, 77)(41, 116)(42, 122)(43, 121)(44, 81)(45, 117)(46, 83)(47, 124)(48, 102)(49, 96)(50, 87)(51, 94)(52, 98)(53, 128)(54, 110)(55, 100)(56, 90)(57, 91)(58, 111)(59, 127)(60, 106)(61, 104)(62, 109)(63, 113)(64, 126)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 215)(136, 218)(137, 222)(138, 194)(139, 197)(140, 198)(141, 221)(142, 234)(143, 219)(144, 232)(145, 226)(146, 196)(147, 228)(148, 236)(149, 230)(150, 223)(151, 240)(152, 244)(153, 199)(154, 202)(155, 243)(156, 250)(157, 241)(158, 249)(159, 209)(160, 201)(161, 248)(162, 214)(163, 247)(164, 203)(165, 206)(166, 242)(167, 212)(168, 210)(169, 205)(170, 246)(171, 253)(172, 254)(173, 207)(174, 252)(175, 213)(176, 217)(177, 233)(178, 239)(179, 237)(180, 255)(181, 216)(182, 229)(183, 220)(184, 238)(185, 224)(186, 227)(187, 235)(188, 225)(189, 256)(190, 231)(191, 245)(192, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1088
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1097 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 850>$ (small group id <128, 850>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (Y1 * Y2)^2, R * Y2 * R * Y1, Y2^4, (R * Y3)^2, Y2 * Y3 * Y1^-1 * Y3 * Y1^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-1, Y1^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y3, Y3 * Y2^-1 * Y1^-1 * Y2 * Y3 * Y2^-1, (Y2 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 22, 86, 150, 214)(7, 71, 135, 199, 24, 88, 152, 216)(8, 72, 136, 200, 27, 91, 155, 219)(10, 74, 138, 202, 34, 98, 162, 226)(11, 75, 139, 203, 36, 100, 164, 228)(12, 76, 140, 204, 39, 103, 167, 231)(14, 78, 142, 206, 43, 107, 171, 235)(15, 79, 143, 207, 23, 87, 151, 215)(16, 80, 144, 208, 26, 90, 154, 218)(17, 81, 145, 209, 28, 92, 156, 220)(18, 82, 146, 210, 40, 104, 168, 232)(19, 83, 147, 211, 29, 93, 157, 221)(21, 85, 149, 213, 45, 109, 173, 237)(25, 89, 153, 217, 54, 118, 182, 246)(30, 94, 158, 222, 48, 112, 176, 240)(31, 95, 159, 223, 49, 113, 177, 241)(32, 96, 160, 224, 56, 120, 184, 248)(33, 97, 161, 225, 59, 123, 187, 251)(35, 99, 163, 227, 61, 125, 189, 253)(37, 101, 165, 229, 50, 114, 178, 242)(38, 102, 166, 230, 52, 116, 180, 244)(41, 105, 169, 233, 55, 119, 183, 247)(42, 106, 170, 234, 62, 126, 190, 254)(44, 108, 172, 236, 57, 121, 185, 249)(46, 110, 174, 238, 51, 115, 179, 243)(47, 111, 175, 239, 58, 122, 186, 250)(53, 117, 181, 245, 64, 128, 192, 256)(60, 124, 188, 252, 63, 127, 191, 255)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 85)(7, 69)(8, 70)(9, 93)(10, 97)(11, 99)(12, 102)(13, 105)(14, 67)(15, 96)(16, 100)(17, 68)(18, 107)(19, 89)(20, 91)(21, 92)(22, 108)(23, 74)(24, 77)(25, 117)(26, 119)(27, 82)(28, 72)(29, 116)(30, 86)(31, 73)(32, 81)(33, 113)(34, 122)(35, 78)(36, 126)(37, 120)(38, 112)(39, 118)(40, 76)(41, 115)(42, 121)(43, 84)(44, 123)(45, 80)(46, 83)(47, 124)(48, 104)(49, 87)(50, 98)(51, 88)(52, 95)(53, 110)(54, 127)(55, 101)(56, 90)(57, 111)(58, 128)(59, 94)(60, 106)(61, 103)(62, 109)(63, 125)(64, 114)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 215)(136, 218)(137, 222)(138, 194)(139, 197)(140, 198)(141, 221)(142, 234)(143, 219)(144, 236)(145, 226)(146, 196)(147, 229)(148, 231)(149, 232)(150, 223)(151, 240)(152, 242)(153, 199)(154, 202)(155, 205)(156, 249)(157, 207)(158, 250)(159, 246)(160, 201)(161, 248)(162, 243)(163, 247)(164, 209)(165, 203)(166, 206)(167, 254)(168, 241)(169, 212)(170, 245)(171, 214)(172, 210)(173, 253)(174, 252)(175, 213)(176, 217)(177, 239)(178, 255)(179, 228)(180, 216)(181, 230)(182, 235)(183, 220)(184, 238)(185, 227)(186, 224)(187, 237)(188, 225)(189, 256)(190, 233)(191, 244)(192, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1089
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 30, 94)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 35, 99)(21, 85, 29, 93)(23, 87, 40, 104)(25, 89, 33, 97)(26, 90, 45, 109)(27, 91, 43, 107)(31, 95, 49, 113)(34, 98, 37, 101)(36, 100, 54, 118)(38, 102, 47, 111)(39, 103, 56, 120)(41, 105, 53, 117)(42, 106, 51, 115)(44, 108, 61, 125)(46, 110, 58, 122)(48, 112, 55, 119)(50, 114, 60, 124)(52, 116, 59, 123)(57, 121, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 159, 223, 145, 209)(137, 201, 147, 211, 164, 228, 149, 213)(141, 205, 153, 217, 172, 236, 154, 218)(142, 206, 155, 219, 174, 238, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(148, 212, 165, 229, 183, 247, 166, 230)(150, 214, 167, 231, 185, 249, 169, 233)(152, 216, 170, 234, 188, 252, 171, 235)(156, 220, 173, 237, 184, 248, 175, 239)(158, 222, 176, 240, 190, 254, 178, 242)(160, 224, 179, 243, 181, 245, 163, 227)(168, 232, 186, 250, 192, 256, 187, 251)(177, 241, 182, 246, 191, 255, 189, 253)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 159)(16, 134)(17, 136)(18, 160)(19, 165)(20, 137)(21, 166)(22, 168)(23, 138)(24, 141)(25, 170)(26, 171)(27, 173)(28, 142)(29, 175)(30, 177)(31, 143)(32, 146)(33, 179)(34, 163)(35, 162)(36, 183)(37, 147)(38, 149)(39, 186)(40, 150)(41, 187)(42, 153)(43, 154)(44, 188)(45, 155)(46, 184)(47, 157)(48, 182)(49, 158)(50, 189)(51, 161)(52, 181)(53, 180)(54, 176)(55, 164)(56, 174)(57, 192)(58, 167)(59, 169)(60, 172)(61, 178)(62, 191)(63, 190)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C8 : C2) : C2) : C2 (small group id <64, 32>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 ]
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, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1100 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y1 * Y2^-2 * Y1 * Y2^2 * Y3, (Y3 * Y2)^4, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 27, 91)(18, 82, 38, 102)(19, 83, 42, 106)(20, 84, 44, 108)(22, 86, 47, 111)(23, 87, 49, 113)(25, 89, 39, 103)(28, 92, 52, 116)(29, 93, 41, 105)(31, 95, 55, 119)(33, 97, 57, 121)(34, 98, 46, 110)(36, 100, 59, 123)(37, 101, 50, 114)(40, 104, 53, 117)(43, 107, 62, 126)(45, 109, 64, 128)(48, 112, 58, 122)(51, 115, 60, 124)(54, 118, 61, 125)(56, 120, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 154, 218, 148, 212)(137, 201, 151, 215, 163, 227, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 152, 216, 164, 228)(144, 208, 165, 229, 175, 239, 167, 231)(146, 210, 168, 232, 150, 214, 169, 233)(149, 213, 174, 238, 166, 230, 176, 240)(158, 222, 178, 242, 185, 249, 179, 243)(159, 223, 181, 245, 161, 225, 182, 246)(160, 224, 184, 248, 183, 247, 186, 250)(170, 234, 177, 241, 192, 256, 188, 252)(171, 235, 180, 244, 173, 237, 189, 253)(172, 236, 191, 255, 190, 254, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 154)(18, 134)(19, 171)(20, 173)(21, 175)(22, 136)(23, 178)(24, 137)(25, 179)(26, 145)(27, 138)(28, 181)(29, 182)(30, 183)(31, 140)(32, 185)(33, 141)(34, 184)(35, 142)(36, 186)(37, 177)(38, 144)(39, 188)(40, 180)(41, 189)(42, 190)(43, 147)(44, 192)(45, 148)(46, 191)(47, 149)(48, 187)(49, 165)(50, 151)(51, 153)(52, 168)(53, 156)(54, 157)(55, 158)(56, 162)(57, 160)(58, 164)(59, 176)(60, 167)(61, 169)(62, 170)(63, 174)(64, 172)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1101 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
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, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2, (Y3 * Y2)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 28, 92)(18, 82, 38, 102)(19, 83, 42, 106)(20, 84, 44, 108)(22, 86, 47, 111)(23, 87, 49, 113)(25, 89, 39, 103)(27, 91, 52, 116)(29, 93, 41, 105)(31, 95, 55, 119)(33, 97, 56, 120)(34, 98, 46, 110)(36, 100, 59, 123)(37, 101, 50, 114)(40, 104, 53, 117)(43, 107, 62, 126)(45, 109, 63, 127)(48, 112, 58, 122)(51, 115, 60, 124)(54, 118, 61, 125)(57, 121, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 160, 224, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 158, 222, 164, 228)(144, 208, 165, 229, 172, 236, 167, 231)(146, 210, 154, 218, 150, 214, 169, 233)(149, 213, 174, 238, 170, 234, 176, 240)(152, 216, 178, 242, 184, 248, 179, 243)(159, 223, 181, 245, 161, 225, 182, 246)(163, 227, 185, 249, 183, 247, 186, 250)(166, 230, 177, 241, 191, 255, 188, 252)(171, 235, 180, 244, 173, 237, 189, 253)(175, 239, 192, 256, 190, 254, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 168)(18, 134)(19, 171)(20, 173)(21, 175)(22, 136)(23, 164)(24, 137)(25, 162)(26, 180)(27, 138)(28, 181)(29, 182)(30, 183)(31, 140)(32, 184)(33, 141)(34, 153)(35, 142)(36, 151)(37, 176)(38, 144)(39, 174)(40, 145)(41, 189)(42, 190)(43, 147)(44, 191)(45, 148)(46, 167)(47, 149)(48, 165)(49, 187)(50, 186)(51, 185)(52, 154)(53, 156)(54, 157)(55, 158)(56, 160)(57, 179)(58, 178)(59, 177)(60, 192)(61, 169)(62, 170)(63, 172)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1102 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^4, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1, (Y3 * Y2 * Y1^2)^2, Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, (Y3 * Y1 * Y2 * Y1)^2, (Y2 * Y1^-1)^4, Y3 * Y2 * Y1^-1 * Y3 * Y1^-2 * Y2 * Y1^-1, (Y2 * Y1 * Y3 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 89, 25, 75, 11, 67)(4, 76, 12, 96, 32, 78, 14, 68)(7, 83, 19, 111, 47, 85, 21, 71)(8, 86, 22, 117, 53, 88, 24, 72)(10, 92, 28, 109, 45, 93, 29, 74)(13, 90, 26, 106, 42, 99, 35, 77)(15, 101, 37, 122, 58, 102, 38, 79)(16, 98, 34, 123, 59, 104, 40, 80)(17, 105, 41, 125, 61, 107, 43, 81)(18, 108, 44, 127, 63, 110, 46, 82)(20, 114, 50, 103, 39, 115, 51, 84)(23, 112, 48, 94, 30, 119, 55, 87)(27, 121, 57, 126, 62, 120, 56, 91)(31, 116, 52, 97, 33, 118, 54, 95)(36, 124, 60, 128, 64, 113, 49, 100)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 21)(11, 30)(12, 33)(14, 36)(16, 39)(18, 45)(19, 48)(20, 43)(22, 54)(24, 56)(25, 49)(27, 58)(28, 59)(29, 41)(31, 44)(32, 50)(34, 52)(35, 53)(37, 51)(38, 42)(40, 57)(46, 64)(47, 62)(55, 63)(60, 61)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 91)(75, 95)(76, 87)(77, 98)(78, 93)(79, 94)(81, 106)(83, 113)(85, 116)(86, 109)(88, 115)(89, 114)(90, 110)(92, 122)(96, 121)(97, 107)(99, 111)(100, 117)(101, 124)(102, 118)(103, 108)(104, 112)(105, 126)(119, 125)(120, 127)(123, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1103 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1 * Y2, (R * Y1)^2, Y1^4, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1^-1, (Y2 * Y1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2, (Y3 * Y2)^4, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2, Y2 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 85, 21, 75, 11, 67)(4, 71, 7, 81, 17, 77, 13, 68)(8, 79, 15, 97, 33, 84, 20, 72)(10, 86, 22, 99, 35, 89, 25, 74)(12, 91, 27, 98, 34, 93, 29, 76)(14, 95, 31, 100, 36, 80, 16, 78)(18, 101, 37, 90, 26, 104, 40, 82)(19, 105, 41, 96, 32, 107, 43, 83)(23, 109, 45, 118, 54, 108, 44, 87)(24, 106, 42, 126, 62, 112, 48, 88)(28, 115, 51, 122, 58, 116, 52, 92)(30, 117, 53, 121, 57, 102, 38, 94)(39, 120, 56, 113, 49, 124, 60, 103)(46, 119, 55, 114, 50, 125, 61, 110)(47, 123, 59, 128, 64, 127, 63, 111)
	L = (1, 3)(2, 7)(4, 12)(5, 14)(6, 15)(8, 19)(9, 22)(10, 24)(11, 26)(13, 30)(16, 35)(17, 37)(18, 39)(20, 44)(21, 45)(23, 46)(25, 49)(27, 51)(28, 47)(29, 33)(31, 43)(32, 52)(34, 55)(36, 57)(38, 58)(40, 61)(41, 62)(42, 59)(48, 54)(50, 63)(53, 60)(56, 64)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 82)(73, 87)(76, 92)(77, 93)(78, 96)(79, 98)(81, 102)(83, 106)(84, 107)(85, 101)(86, 100)(88, 111)(89, 112)(90, 114)(91, 110)(94, 113)(95, 117)(97, 118)(99, 120)(103, 123)(104, 124)(105, 122)(108, 125)(109, 126)(115, 121)(116, 127)(119, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1104 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y2 * Y1 * Y3 * Y1^-1, (R * Y1)^2, Y1^4, (Y1^-1 * Y2 * Y1^-1 * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y3 * Y1^-2)^2, (Y3 * Y2)^4, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2, (Y3 * Y1 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 72, 8, 83, 19, 74, 10, 67)(4, 75, 11, 89, 25, 77, 13, 68)(7, 80, 16, 99, 35, 82, 18, 71)(9, 85, 21, 100, 36, 87, 23, 73)(12, 91, 27, 97, 33, 93, 29, 76)(14, 95, 31, 98, 34, 79, 15, 78)(17, 101, 37, 96, 32, 103, 39, 81)(20, 106, 42, 94, 30, 108, 44, 84)(22, 110, 46, 122, 58, 112, 48, 86)(24, 113, 49, 119, 55, 105, 41, 88)(26, 115, 51, 120, 56, 104, 40, 90)(28, 102, 38, 123, 59, 116, 52, 92)(43, 118, 54, 114, 50, 126, 62, 107)(45, 121, 57, 117, 53, 125, 61, 109)(47, 124, 60, 128, 64, 127, 63, 111)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 15)(8, 20)(9, 22)(10, 23)(11, 26)(14, 32)(16, 36)(17, 38)(18, 39)(19, 41)(21, 45)(24, 50)(25, 42)(27, 34)(28, 47)(29, 52)(30, 53)(31, 49)(33, 54)(35, 56)(37, 58)(40, 61)(43, 60)(44, 62)(46, 55)(48, 63)(51, 59)(57, 64)(65, 68)(66, 72)(67, 73)(69, 78)(70, 80)(71, 81)(74, 88)(75, 91)(76, 92)(77, 94)(79, 97)(82, 104)(83, 106)(84, 107)(85, 110)(86, 111)(87, 99)(89, 115)(90, 109)(93, 114)(95, 103)(96, 112)(98, 119)(100, 121)(101, 123)(102, 124)(105, 122)(108, 125)(113, 126)(116, 120)(117, 127)(118, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1105 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1, (Y2 * Y3)^4, Y3 * Y1^-2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1^2, Y2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y3 * Y1 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 89, 25, 75, 11, 67)(4, 76, 12, 96, 32, 78, 14, 68)(7, 83, 19, 111, 47, 85, 21, 71)(8, 86, 22, 117, 53, 88, 24, 72)(10, 91, 27, 109, 45, 93, 29, 74)(13, 98, 34, 106, 42, 94, 30, 77)(15, 92, 28, 122, 58, 102, 38, 79)(16, 103, 39, 124, 60, 104, 40, 80)(17, 105, 41, 125, 61, 107, 43, 81)(18, 108, 44, 127, 63, 110, 46, 82)(20, 113, 49, 100, 36, 114, 50, 84)(23, 119, 55, 101, 37, 115, 51, 87)(26, 112, 48, 99, 35, 120, 56, 90)(31, 123, 59, 126, 62, 118, 54, 95)(33, 121, 57, 128, 64, 116, 52, 97)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 20)(10, 28)(11, 30)(12, 33)(14, 35)(16, 36)(18, 45)(19, 42)(21, 51)(22, 54)(24, 56)(25, 57)(26, 46)(27, 43)(29, 53)(31, 47)(32, 55)(34, 60)(37, 41)(38, 49)(39, 59)(40, 48)(44, 64)(50, 63)(52, 61)(58, 62)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 95)(76, 91)(77, 88)(78, 100)(79, 101)(81, 106)(83, 112)(85, 116)(86, 113)(87, 110)(89, 119)(92, 120)(93, 111)(94, 108)(96, 118)(97, 124)(98, 122)(99, 105)(102, 121)(103, 115)(104, 109)(107, 126)(114, 125)(117, 128)(123, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1106 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, (Y3^2 * Y1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y1 * Y3 * Y2 * Y3)^2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 28, 92, 11, 75)(6, 70, 18, 82, 44, 108, 19, 83)(9, 73, 26, 90, 54, 118, 23, 87)(12, 76, 31, 95, 46, 110, 32, 96)(13, 77, 34, 98, 45, 109, 25, 89)(15, 79, 17, 81, 42, 106, 38, 102)(16, 80, 39, 103, 57, 121, 40, 104)(20, 84, 47, 111, 30, 94, 48, 112)(21, 85, 50, 114, 29, 93, 41, 105)(24, 88, 55, 119, 61, 125, 56, 120)(27, 91, 51, 115, 63, 127, 58, 122)(33, 97, 52, 116, 37, 101, 60, 124)(35, 99, 59, 123, 62, 126, 43, 107)(36, 100, 53, 117, 64, 128, 49, 113)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 155)(139, 157)(141, 161)(142, 163)(144, 158)(146, 171)(147, 173)(149, 177)(150, 179)(152, 174)(153, 169)(154, 185)(156, 180)(159, 182)(160, 188)(162, 184)(164, 172)(165, 187)(166, 175)(167, 183)(168, 178)(170, 189)(176, 192)(181, 191)(186, 190)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 210)(203, 222)(204, 212)(206, 228)(207, 229)(209, 233)(211, 238)(214, 244)(215, 245)(218, 234)(219, 249)(220, 248)(221, 251)(223, 242)(224, 250)(225, 241)(226, 239)(227, 246)(230, 243)(231, 252)(232, 236)(235, 253)(237, 255)(240, 254)(247, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1114
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1107 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(3, 67, 10, 74, 25, 89, 11, 75)(6, 70, 16, 80, 37, 101, 17, 81)(9, 73, 22, 86, 48, 112, 23, 87)(12, 76, 28, 92, 38, 102, 29, 93)(14, 78, 32, 96, 47, 111, 30, 94)(15, 79, 34, 98, 57, 121, 35, 99)(18, 82, 40, 104, 26, 90, 41, 105)(20, 84, 44, 108, 56, 120, 42, 106)(21, 85, 45, 109, 63, 127, 46, 110)(24, 88, 49, 113, 60, 124, 50, 114)(27, 91, 52, 116, 31, 95, 53, 117)(33, 97, 54, 118, 64, 128, 55, 119)(36, 100, 58, 122, 51, 115, 59, 123)(39, 103, 61, 125, 43, 107, 62, 126)(129, 130)(131, 137)(132, 140)(133, 139)(134, 143)(135, 146)(136, 145)(138, 152)(141, 158)(142, 159)(144, 164)(147, 170)(148, 171)(149, 161)(150, 175)(151, 174)(153, 168)(154, 179)(155, 173)(156, 165)(157, 181)(160, 172)(162, 184)(163, 183)(166, 188)(167, 182)(169, 190)(176, 189)(177, 191)(178, 187)(180, 185)(186, 192)(193, 195)(194, 198)(196, 199)(197, 206)(200, 212)(201, 213)(202, 214)(203, 218)(204, 219)(205, 220)(207, 225)(208, 226)(209, 230)(210, 231)(211, 232)(215, 235)(216, 228)(217, 241)(221, 242)(222, 240)(223, 227)(224, 245)(229, 250)(233, 251)(234, 249)(236, 254)(237, 246)(238, 252)(239, 248)(243, 247)(244, 255)(253, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1115
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1108 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y2 * Y3 * Y1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(3, 67, 10, 74, 25, 89, 11, 75)(6, 70, 16, 80, 37, 101, 17, 81)(9, 73, 22, 86, 47, 111, 23, 87)(12, 76, 28, 92, 48, 112, 29, 93)(14, 78, 32, 96, 36, 100, 30, 94)(15, 79, 34, 98, 56, 120, 35, 99)(18, 82, 40, 104, 57, 121, 41, 105)(20, 84, 44, 108, 24, 88, 42, 106)(21, 85, 45, 109, 63, 127, 46, 110)(26, 90, 51, 115, 58, 122, 50, 114)(27, 91, 52, 116, 31, 95, 53, 117)(33, 97, 54, 118, 64, 128, 55, 119)(38, 102, 60, 124, 49, 113, 59, 123)(39, 103, 61, 125, 43, 107, 62, 126)(129, 130)(131, 137)(132, 138)(133, 142)(134, 143)(135, 144)(136, 148)(139, 154)(140, 155)(141, 156)(145, 166)(146, 167)(147, 168)(149, 161)(150, 173)(151, 176)(152, 177)(153, 170)(157, 169)(158, 165)(159, 174)(160, 181)(162, 182)(163, 185)(164, 186)(171, 183)(172, 190)(175, 189)(178, 191)(179, 188)(180, 184)(187, 192)(193, 195)(194, 198)(196, 204)(197, 200)(199, 210)(201, 213)(202, 216)(203, 215)(205, 222)(206, 223)(207, 225)(208, 228)(209, 227)(211, 234)(212, 235)(214, 231)(217, 242)(218, 230)(219, 226)(220, 239)(221, 245)(224, 243)(229, 251)(232, 248)(233, 254)(236, 252)(237, 250)(238, 247)(240, 249)(241, 246)(244, 255)(253, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1116
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1109 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^2 * Y1, Y3 * Y2 * Y1 * Y3^-2 * Y1 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 45, 109, 19, 83)(9, 73, 20, 84, 48, 112, 26, 90)(12, 76, 32, 96, 42, 106, 17, 81)(13, 77, 33, 97, 57, 121, 34, 98)(15, 79, 37, 101, 44, 108, 38, 102)(16, 80, 25, 89, 43, 107, 40, 104)(21, 85, 49, 113, 61, 125, 50, 114)(23, 87, 53, 117, 28, 92, 54, 118)(24, 88, 41, 105, 27, 91, 56, 120)(30, 94, 59, 123, 62, 126, 51, 115)(31, 95, 52, 116, 39, 103, 60, 124)(35, 99, 46, 110, 63, 127, 58, 122)(36, 100, 55, 119, 64, 128, 47, 111)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 155)(139, 158)(141, 156)(142, 163)(144, 167)(146, 171)(147, 174)(149, 172)(150, 179)(152, 183)(153, 169)(154, 185)(157, 180)(159, 186)(160, 182)(161, 184)(162, 178)(164, 173)(165, 188)(166, 176)(168, 177)(170, 189)(175, 190)(181, 192)(187, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 211)(204, 223)(206, 228)(207, 215)(209, 233)(210, 236)(212, 239)(214, 244)(218, 234)(219, 250)(221, 241)(222, 249)(224, 243)(225, 237)(226, 252)(227, 240)(229, 251)(230, 248)(231, 247)(232, 246)(235, 254)(238, 253)(242, 256)(245, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1117
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1110 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 856>$ (small group id <128, 856>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 19, 83)(6, 70, 21, 85)(7, 71, 24, 88)(8, 72, 28, 92)(10, 74, 33, 97)(11, 75, 36, 100)(12, 76, 39, 103)(14, 78, 26, 90)(15, 79, 35, 99)(16, 80, 43, 107)(17, 81, 44, 108)(18, 82, 42, 106)(20, 84, 41, 105)(22, 86, 31, 95)(23, 87, 50, 114)(25, 89, 53, 117)(27, 91, 58, 122)(29, 93, 48, 112)(30, 94, 55, 119)(32, 96, 60, 124)(34, 98, 52, 116)(37, 101, 62, 126)(38, 102, 59, 123)(40, 104, 56, 120)(45, 109, 51, 115)(46, 110, 61, 125)(47, 111, 54, 118)(49, 113, 63, 127)(57, 121, 64, 128)(129, 130, 135, 133)(131, 139, 162, 138)(132, 142, 167, 144)(134, 146, 173, 150)(136, 154, 182, 153)(137, 157, 186, 159)(140, 166, 177, 165)(141, 158, 149, 168)(143, 169, 190, 170)(145, 161, 187, 156)(147, 164, 189, 175)(148, 151, 176, 171)(152, 179, 191, 180)(155, 185, 174, 184)(160, 181, 192, 178)(163, 183, 172, 188)(193, 195, 204, 198)(194, 200, 219, 202)(196, 207, 216, 209)(197, 210, 238, 212)(199, 215, 241, 217)(201, 222, 211, 224)(203, 227, 246, 229)(205, 221, 244, 233)(206, 223, 245, 234)(208, 225, 242, 228)(213, 220, 243, 239)(214, 230, 240, 236)(218, 247, 235, 248)(226, 249, 237, 252)(231, 253, 255, 250)(232, 254, 256, 251)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1118
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1111 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 856>$ (small group id <128, 856>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, Y2^4, Y1^-1 * Y3 * Y2^-1 * Y3, Y2^-1 * Y1^-2 * Y2^2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 15, 79)(6, 70, 14, 78)(7, 71, 20, 84)(8, 72, 24, 88)(10, 74, 25, 89)(11, 75, 28, 92)(12, 76, 31, 95)(16, 80, 33, 97)(17, 81, 34, 98)(18, 82, 32, 96)(19, 83, 41, 105)(21, 85, 42, 106)(22, 86, 45, 109)(23, 87, 48, 112)(26, 90, 49, 113)(27, 91, 51, 115)(29, 93, 52, 116)(30, 94, 53, 117)(35, 99, 55, 119)(36, 100, 56, 120)(37, 101, 57, 121)(38, 102, 54, 118)(39, 103, 58, 122)(40, 104, 59, 123)(43, 107, 60, 124)(44, 108, 61, 125)(46, 110, 62, 126)(47, 111, 63, 127)(50, 114, 64, 128)(129, 130, 135, 133)(131, 139, 154, 138)(132, 142, 159, 141)(134, 144, 163, 146)(136, 150, 171, 149)(137, 153, 176, 152)(140, 158, 168, 157)(143, 162, 184, 161)(145, 147, 167, 165)(148, 170, 187, 169)(151, 175, 164, 174)(155, 172, 166, 178)(156, 180, 188, 179)(160, 182, 186, 181)(173, 190, 185, 189)(177, 192, 183, 191)(193, 195, 204, 198)(194, 200, 215, 202)(196, 207, 212, 201)(197, 208, 228, 209)(199, 211, 232, 213)(203, 219, 235, 221)(205, 217, 241, 220)(206, 224, 247, 225)(210, 222, 231, 230)(214, 236, 229, 238)(216, 234, 252, 237)(218, 239, 227, 242)(223, 244, 251, 245)(226, 249, 250, 233)(240, 254, 248, 255)(243, 256, 246, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1119
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1112 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 860>$ (small group id <128, 860>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, (Y2^-1 * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y2^-2 * Y3 * Y2^-1, (Y1^-1 * Y2^-1 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 19, 83)(6, 70, 21, 85)(7, 71, 24, 88)(8, 72, 28, 92)(10, 74, 33, 97)(11, 75, 31, 95)(12, 76, 38, 102)(14, 78, 23, 87)(15, 79, 27, 91)(16, 80, 45, 109)(17, 81, 36, 100)(18, 82, 29, 93)(20, 84, 42, 106)(22, 86, 41, 105)(25, 89, 54, 118)(26, 90, 52, 116)(30, 94, 50, 114)(32, 96, 57, 121)(34, 98, 60, 124)(35, 99, 61, 125)(37, 101, 53, 117)(39, 103, 58, 122)(40, 104, 55, 119)(43, 107, 62, 126)(44, 108, 49, 113)(46, 110, 51, 115)(47, 111, 59, 123)(48, 112, 63, 127)(56, 120, 64, 128)(129, 130, 135, 133)(131, 139, 162, 138)(132, 142, 160, 144)(134, 146, 173, 150)(136, 154, 183, 153)(137, 157, 181, 159)(140, 165, 178, 164)(141, 167, 180, 152)(143, 170, 191, 168)(145, 172, 147, 156)(148, 151, 177, 175)(149, 171, 187, 158)(155, 186, 174, 185)(161, 189, 169, 179)(163, 184, 176, 190)(166, 182, 192, 188)(193, 195, 204, 198)(194, 200, 219, 202)(196, 207, 235, 209)(197, 210, 238, 212)(199, 215, 242, 217)(201, 222, 253, 224)(203, 227, 247, 228)(205, 232, 206, 233)(208, 236, 244, 223)(211, 230, 255, 231)(213, 234, 246, 225)(214, 229, 241, 240)(216, 243, 256, 245)(218, 248, 239, 249)(220, 251, 221, 252)(226, 250, 237, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1120
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1113 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 860>$ (small group id <128, 860>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1^-1)^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^2 * Y2^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2^-2 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 19, 83)(6, 70, 21, 85)(7, 71, 24, 88)(8, 72, 28, 92)(10, 74, 33, 97)(11, 75, 36, 100)(12, 76, 32, 96)(14, 78, 34, 98)(15, 79, 38, 102)(16, 80, 25, 89)(17, 81, 45, 109)(18, 82, 40, 104)(20, 84, 31, 95)(22, 86, 43, 107)(23, 87, 51, 115)(26, 90, 57, 121)(27, 91, 54, 118)(29, 93, 55, 119)(30, 94, 59, 123)(35, 99, 60, 124)(37, 101, 53, 117)(39, 103, 50, 114)(41, 105, 62, 126)(42, 106, 58, 122)(44, 108, 49, 113)(46, 110, 61, 125)(47, 111, 52, 116)(48, 112, 63, 127)(56, 120, 64, 128)(129, 130, 135, 133)(131, 139, 162, 138)(132, 142, 170, 144)(134, 146, 174, 150)(136, 154, 183, 153)(137, 157, 143, 159)(140, 166, 178, 165)(141, 167, 185, 169)(145, 172, 188, 156)(147, 171, 181, 161)(148, 151, 177, 175)(149, 152, 180, 158)(155, 187, 173, 186)(160, 189, 192, 179)(163, 184, 176, 190)(164, 191, 168, 182)(193, 195, 204, 198)(194, 200, 219, 202)(196, 207, 233, 209)(197, 210, 237, 212)(199, 215, 242, 217)(201, 222, 252, 224)(203, 227, 247, 229)(205, 232, 243, 220)(206, 235, 244, 221)(208, 236, 213, 228)(211, 234, 255, 231)(214, 230, 241, 240)(216, 245, 256, 246)(218, 248, 239, 250)(223, 253, 225, 249)(226, 251, 238, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1121
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1114 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3, (Y3^2 * Y1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y1 * Y3 * Y2 * Y3)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 28, 92, 156, 220, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 44, 108, 172, 236, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 54, 118, 182, 246, 23, 87, 151, 215)(12, 76, 140, 204, 31, 95, 159, 223, 46, 110, 174, 238, 32, 96, 160, 224)(13, 77, 141, 205, 34, 98, 162, 226, 45, 109, 173, 237, 25, 89, 153, 217)(15, 79, 143, 207, 17, 81, 145, 209, 42, 106, 170, 234, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231, 57, 121, 185, 249, 40, 104, 168, 232)(20, 84, 148, 212, 47, 111, 175, 239, 30, 94, 158, 222, 48, 112, 176, 240)(21, 85, 149, 213, 50, 114, 178, 242, 29, 93, 157, 221, 41, 105, 169, 233)(24, 88, 152, 216, 55, 119, 183, 247, 61, 125, 189, 253, 56, 120, 184, 248)(27, 91, 155, 219, 51, 115, 179, 243, 63, 127, 191, 255, 58, 122, 186, 250)(33, 97, 161, 225, 52, 116, 180, 244, 37, 101, 165, 229, 60, 124, 188, 252)(35, 99, 163, 227, 59, 123, 187, 251, 62, 126, 190, 254, 43, 107, 171, 235)(36, 100, 164, 228, 53, 117, 181, 245, 64, 128, 192, 256, 49, 113, 177, 241)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 91)(11, 93)(12, 68)(13, 97)(14, 99)(15, 69)(16, 94)(17, 70)(18, 107)(19, 109)(20, 71)(21, 113)(22, 115)(23, 72)(24, 110)(25, 105)(26, 121)(27, 74)(28, 116)(29, 75)(30, 80)(31, 118)(32, 124)(33, 77)(34, 120)(35, 78)(36, 108)(37, 123)(38, 111)(39, 119)(40, 114)(41, 89)(42, 125)(43, 82)(44, 100)(45, 83)(46, 88)(47, 102)(48, 128)(49, 85)(50, 104)(51, 86)(52, 92)(53, 127)(54, 95)(55, 103)(56, 98)(57, 90)(58, 126)(59, 101)(60, 96)(61, 106)(62, 122)(63, 117)(64, 112)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 210)(139, 222)(140, 212)(141, 196)(142, 228)(143, 229)(144, 197)(145, 233)(146, 202)(147, 238)(148, 204)(149, 199)(150, 244)(151, 245)(152, 200)(153, 201)(154, 234)(155, 249)(156, 248)(157, 251)(158, 203)(159, 242)(160, 250)(161, 241)(162, 239)(163, 246)(164, 206)(165, 207)(166, 243)(167, 252)(168, 236)(169, 209)(170, 218)(171, 253)(172, 232)(173, 255)(174, 211)(175, 226)(176, 254)(177, 225)(178, 223)(179, 230)(180, 214)(181, 215)(182, 227)(183, 256)(184, 220)(185, 219)(186, 224)(187, 221)(188, 231)(189, 235)(190, 240)(191, 237)(192, 247)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1106
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1115 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 19, 83, 147, 211, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 25, 89, 153, 217, 11, 75, 139, 203)(6, 70, 134, 198, 16, 80, 144, 208, 37, 101, 165, 229, 17, 81, 145, 209)(9, 73, 137, 201, 22, 86, 150, 214, 48, 112, 176, 240, 23, 87, 151, 215)(12, 76, 140, 204, 28, 92, 156, 220, 38, 102, 166, 230, 29, 93, 157, 221)(14, 78, 142, 206, 32, 96, 160, 224, 47, 111, 175, 239, 30, 94, 158, 222)(15, 79, 143, 207, 34, 98, 162, 226, 57, 121, 185, 249, 35, 99, 163, 227)(18, 82, 146, 210, 40, 104, 168, 232, 26, 90, 154, 218, 41, 105, 169, 233)(20, 84, 148, 212, 44, 108, 172, 236, 56, 120, 184, 248, 42, 106, 170, 234)(21, 85, 149, 213, 45, 109, 173, 237, 63, 127, 191, 255, 46, 110, 174, 238)(24, 88, 152, 216, 49, 113, 177, 241, 60, 124, 188, 252, 50, 114, 178, 242)(27, 91, 155, 219, 52, 116, 180, 244, 31, 95, 159, 223, 53, 117, 181, 245)(33, 97, 161, 225, 54, 118, 182, 246, 64, 128, 192, 256, 55, 119, 183, 247)(36, 100, 164, 228, 58, 122, 186, 250, 51, 115, 179, 243, 59, 123, 187, 251)(39, 103, 167, 231, 61, 125, 189, 253, 43, 107, 171, 235, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 75)(6, 79)(7, 82)(8, 81)(9, 67)(10, 88)(11, 69)(12, 68)(13, 94)(14, 95)(15, 70)(16, 100)(17, 72)(18, 71)(19, 106)(20, 107)(21, 97)(22, 111)(23, 110)(24, 74)(25, 104)(26, 115)(27, 109)(28, 101)(29, 117)(30, 77)(31, 78)(32, 108)(33, 85)(34, 120)(35, 119)(36, 80)(37, 92)(38, 124)(39, 118)(40, 89)(41, 126)(42, 83)(43, 84)(44, 96)(45, 91)(46, 87)(47, 86)(48, 125)(49, 127)(50, 123)(51, 90)(52, 121)(53, 93)(54, 103)(55, 99)(56, 98)(57, 116)(58, 128)(59, 114)(60, 102)(61, 112)(62, 105)(63, 113)(64, 122)(129, 195)(130, 198)(131, 193)(132, 199)(133, 206)(134, 194)(135, 196)(136, 212)(137, 213)(138, 214)(139, 218)(140, 219)(141, 220)(142, 197)(143, 225)(144, 226)(145, 230)(146, 231)(147, 232)(148, 200)(149, 201)(150, 202)(151, 235)(152, 228)(153, 241)(154, 203)(155, 204)(156, 205)(157, 242)(158, 240)(159, 227)(160, 245)(161, 207)(162, 208)(163, 223)(164, 216)(165, 250)(166, 209)(167, 210)(168, 211)(169, 251)(170, 249)(171, 215)(172, 254)(173, 246)(174, 252)(175, 248)(176, 222)(177, 217)(178, 221)(179, 247)(180, 255)(181, 224)(182, 237)(183, 243)(184, 239)(185, 234)(186, 229)(187, 233)(188, 238)(189, 256)(190, 236)(191, 244)(192, 253)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1107
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1116 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y2 * Y3 * Y1 * Y3^-1, (R * Y3)^2, R * Y1 * R * Y2, Y3^2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 19, 83, 147, 211, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 25, 89, 153, 217, 11, 75, 139, 203)(6, 70, 134, 198, 16, 80, 144, 208, 37, 101, 165, 229, 17, 81, 145, 209)(9, 73, 137, 201, 22, 86, 150, 214, 47, 111, 175, 239, 23, 87, 151, 215)(12, 76, 140, 204, 28, 92, 156, 220, 48, 112, 176, 240, 29, 93, 157, 221)(14, 78, 142, 206, 32, 96, 160, 224, 36, 100, 164, 228, 30, 94, 158, 222)(15, 79, 143, 207, 34, 98, 162, 226, 56, 120, 184, 248, 35, 99, 163, 227)(18, 82, 146, 210, 40, 104, 168, 232, 57, 121, 185, 249, 41, 105, 169, 233)(20, 84, 148, 212, 44, 108, 172, 236, 24, 88, 152, 216, 42, 106, 170, 234)(21, 85, 149, 213, 45, 109, 173, 237, 63, 127, 191, 255, 46, 110, 174, 238)(26, 90, 154, 218, 51, 115, 179, 243, 58, 122, 186, 250, 50, 114, 178, 242)(27, 91, 155, 219, 52, 116, 180, 244, 31, 95, 159, 223, 53, 117, 181, 245)(33, 97, 161, 225, 54, 118, 182, 246, 64, 128, 192, 256, 55, 119, 183, 247)(38, 102, 166, 230, 60, 124, 188, 252, 49, 113, 177, 241, 59, 123, 187, 251)(39, 103, 167, 231, 61, 125, 189, 253, 43, 107, 171, 235, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 74)(5, 78)(6, 79)(7, 80)(8, 84)(9, 67)(10, 68)(11, 90)(12, 91)(13, 92)(14, 69)(15, 70)(16, 71)(17, 102)(18, 103)(19, 104)(20, 72)(21, 97)(22, 109)(23, 112)(24, 113)(25, 106)(26, 75)(27, 76)(28, 77)(29, 105)(30, 101)(31, 110)(32, 117)(33, 85)(34, 118)(35, 121)(36, 122)(37, 94)(38, 81)(39, 82)(40, 83)(41, 93)(42, 89)(43, 119)(44, 126)(45, 86)(46, 95)(47, 125)(48, 87)(49, 88)(50, 127)(51, 124)(52, 120)(53, 96)(54, 98)(55, 107)(56, 116)(57, 99)(58, 100)(59, 128)(60, 115)(61, 111)(62, 108)(63, 114)(64, 123)(129, 195)(130, 198)(131, 193)(132, 204)(133, 200)(134, 194)(135, 210)(136, 197)(137, 213)(138, 216)(139, 215)(140, 196)(141, 222)(142, 223)(143, 225)(144, 228)(145, 227)(146, 199)(147, 234)(148, 235)(149, 201)(150, 231)(151, 203)(152, 202)(153, 242)(154, 230)(155, 226)(156, 239)(157, 245)(158, 205)(159, 206)(160, 243)(161, 207)(162, 219)(163, 209)(164, 208)(165, 251)(166, 218)(167, 214)(168, 248)(169, 254)(170, 211)(171, 212)(172, 252)(173, 250)(174, 247)(175, 220)(176, 249)(177, 246)(178, 217)(179, 224)(180, 255)(181, 221)(182, 241)(183, 238)(184, 232)(185, 240)(186, 237)(187, 229)(188, 236)(189, 256)(190, 233)(191, 244)(192, 253)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1108
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1117 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^2 * Y1, Y3 * Y2 * Y1 * Y3^-2 * Y1 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 45, 109, 173, 237, 19, 83, 147, 211)(9, 73, 137, 201, 20, 84, 148, 212, 48, 112, 176, 240, 26, 90, 154, 218)(12, 76, 140, 204, 32, 96, 160, 224, 42, 106, 170, 234, 17, 81, 145, 209)(13, 77, 141, 205, 33, 97, 161, 225, 57, 121, 185, 249, 34, 98, 162, 226)(15, 79, 143, 207, 37, 101, 165, 229, 44, 108, 172, 236, 38, 102, 166, 230)(16, 80, 144, 208, 25, 89, 153, 217, 43, 107, 171, 235, 40, 104, 168, 232)(21, 85, 149, 213, 49, 113, 177, 241, 61, 125, 189, 253, 50, 114, 178, 242)(23, 87, 151, 215, 53, 117, 181, 245, 28, 92, 156, 220, 54, 118, 182, 246)(24, 88, 152, 216, 41, 105, 169, 233, 27, 91, 155, 219, 56, 120, 184, 248)(30, 94, 158, 222, 59, 123, 187, 251, 62, 126, 190, 254, 51, 115, 179, 243)(31, 95, 159, 223, 52, 116, 180, 244, 39, 103, 167, 231, 60, 124, 188, 252)(35, 99, 163, 227, 46, 110, 174, 238, 63, 127, 191, 255, 58, 122, 186, 250)(36, 100, 164, 228, 55, 119, 183, 247, 64, 128, 192, 256, 47, 111, 175, 239)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 91)(11, 94)(12, 68)(13, 92)(14, 99)(15, 69)(16, 103)(17, 70)(18, 107)(19, 110)(20, 71)(21, 108)(22, 115)(23, 72)(24, 119)(25, 105)(26, 121)(27, 74)(28, 77)(29, 116)(30, 75)(31, 122)(32, 118)(33, 120)(34, 114)(35, 78)(36, 109)(37, 124)(38, 112)(39, 80)(40, 113)(41, 89)(42, 125)(43, 82)(44, 85)(45, 100)(46, 83)(47, 126)(48, 102)(49, 104)(50, 98)(51, 86)(52, 93)(53, 128)(54, 96)(55, 88)(56, 97)(57, 90)(58, 95)(59, 127)(60, 101)(61, 106)(62, 111)(63, 123)(64, 117)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 211)(140, 223)(141, 196)(142, 228)(143, 215)(144, 197)(145, 233)(146, 236)(147, 203)(148, 239)(149, 199)(150, 244)(151, 207)(152, 200)(153, 201)(154, 234)(155, 250)(156, 202)(157, 241)(158, 249)(159, 204)(160, 243)(161, 237)(162, 252)(163, 240)(164, 206)(165, 251)(166, 248)(167, 247)(168, 246)(169, 209)(170, 218)(171, 254)(172, 210)(173, 225)(174, 253)(175, 212)(176, 227)(177, 221)(178, 256)(179, 224)(180, 214)(181, 255)(182, 232)(183, 231)(184, 230)(185, 222)(186, 219)(187, 229)(188, 226)(189, 238)(190, 235)(191, 245)(192, 242)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1109
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1118 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 856>$ (small group id <128, 856>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1 * Y2^-1)^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^4, Y3 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 19, 83, 147, 211)(6, 70, 134, 198, 21, 85, 149, 213)(7, 71, 135, 199, 24, 88, 152, 216)(8, 72, 136, 200, 28, 92, 156, 220)(10, 74, 138, 202, 33, 97, 161, 225)(11, 75, 139, 203, 36, 100, 164, 228)(12, 76, 140, 204, 39, 103, 167, 231)(14, 78, 142, 206, 26, 90, 154, 218)(15, 79, 143, 207, 35, 99, 163, 227)(16, 80, 144, 208, 43, 107, 171, 235)(17, 81, 145, 209, 44, 108, 172, 236)(18, 82, 146, 210, 42, 106, 170, 234)(20, 84, 148, 212, 41, 105, 169, 233)(22, 86, 150, 214, 31, 95, 159, 223)(23, 87, 151, 215, 50, 114, 178, 242)(25, 89, 153, 217, 53, 117, 181, 245)(27, 91, 155, 219, 58, 122, 186, 250)(29, 93, 157, 221, 48, 112, 176, 240)(30, 94, 158, 222, 55, 119, 183, 247)(32, 96, 160, 224, 60, 124, 188, 252)(34, 98, 162, 226, 52, 116, 180, 244)(37, 101, 165, 229, 62, 126, 190, 254)(38, 102, 166, 230, 59, 123, 187, 251)(40, 104, 168, 232, 56, 120, 184, 248)(45, 109, 173, 237, 51, 115, 179, 243)(46, 110, 174, 238, 61, 125, 189, 253)(47, 111, 175, 239, 54, 118, 182, 246)(49, 113, 177, 241, 63, 127, 191, 255)(57, 121, 185, 249, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 82)(7, 69)(8, 90)(9, 93)(10, 67)(11, 98)(12, 102)(13, 94)(14, 103)(15, 105)(16, 68)(17, 97)(18, 109)(19, 100)(20, 87)(21, 104)(22, 70)(23, 112)(24, 115)(25, 72)(26, 118)(27, 121)(28, 81)(29, 122)(30, 85)(31, 73)(32, 117)(33, 123)(34, 74)(35, 119)(36, 125)(37, 76)(38, 113)(39, 80)(40, 77)(41, 126)(42, 79)(43, 84)(44, 124)(45, 86)(46, 120)(47, 83)(48, 107)(49, 101)(50, 96)(51, 127)(52, 88)(53, 128)(54, 89)(55, 108)(56, 91)(57, 110)(58, 95)(59, 92)(60, 99)(61, 111)(62, 106)(63, 116)(64, 114)(129, 195)(130, 200)(131, 204)(132, 207)(133, 210)(134, 193)(135, 215)(136, 219)(137, 222)(138, 194)(139, 227)(140, 198)(141, 221)(142, 223)(143, 216)(144, 225)(145, 196)(146, 238)(147, 224)(148, 197)(149, 220)(150, 230)(151, 241)(152, 209)(153, 199)(154, 247)(155, 202)(156, 243)(157, 244)(158, 211)(159, 245)(160, 201)(161, 242)(162, 249)(163, 246)(164, 208)(165, 203)(166, 240)(167, 253)(168, 254)(169, 205)(170, 206)(171, 248)(172, 214)(173, 252)(174, 212)(175, 213)(176, 236)(177, 217)(178, 228)(179, 239)(180, 233)(181, 234)(182, 229)(183, 235)(184, 218)(185, 237)(186, 231)(187, 232)(188, 226)(189, 255)(190, 256)(191, 250)(192, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1110
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1119 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 856>$ (small group id <128, 856>)
|r| :: 2
Presentation :: [ R^2, Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, (Y2 * Y1^-1)^2, Y2^4, Y1^-1 * Y3 * Y2^-1 * Y3, Y2^-1 * Y1^-2 * Y2^2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1^-2 ]
Map:: non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 15, 79, 143, 207)(6, 70, 134, 198, 14, 78, 142, 206)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 24, 88, 152, 216)(10, 74, 138, 202, 25, 89, 153, 217)(11, 75, 139, 203, 28, 92, 156, 220)(12, 76, 140, 204, 31, 95, 159, 223)(16, 80, 144, 208, 33, 97, 161, 225)(17, 81, 145, 209, 34, 98, 162, 226)(18, 82, 146, 210, 32, 96, 160, 224)(19, 83, 147, 211, 41, 105, 169, 233)(21, 85, 149, 213, 42, 106, 170, 234)(22, 86, 150, 214, 45, 109, 173, 237)(23, 87, 151, 215, 48, 112, 176, 240)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(30, 94, 158, 222, 53, 117, 181, 245)(35, 99, 163, 227, 55, 119, 183, 247)(36, 100, 164, 228, 56, 120, 184, 248)(37, 101, 165, 229, 57, 121, 185, 249)(38, 102, 166, 230, 54, 118, 182, 246)(39, 103, 167, 231, 58, 122, 186, 250)(40, 104, 168, 232, 59, 123, 187, 251)(43, 107, 171, 235, 60, 124, 188, 252)(44, 108, 172, 236, 61, 125, 189, 253)(46, 110, 174, 238, 62, 126, 190, 254)(47, 111, 175, 239, 63, 127, 191, 255)(50, 114, 178, 242, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 80)(7, 69)(8, 86)(9, 89)(10, 67)(11, 90)(12, 94)(13, 68)(14, 95)(15, 98)(16, 99)(17, 83)(18, 70)(19, 103)(20, 106)(21, 72)(22, 107)(23, 111)(24, 73)(25, 112)(26, 74)(27, 108)(28, 116)(29, 76)(30, 104)(31, 77)(32, 118)(33, 79)(34, 120)(35, 82)(36, 110)(37, 81)(38, 114)(39, 101)(40, 93)(41, 84)(42, 123)(43, 85)(44, 102)(45, 126)(46, 87)(47, 100)(48, 88)(49, 128)(50, 91)(51, 92)(52, 124)(53, 96)(54, 122)(55, 127)(56, 97)(57, 125)(58, 117)(59, 105)(60, 115)(61, 109)(62, 121)(63, 113)(64, 119)(129, 195)(130, 200)(131, 204)(132, 207)(133, 208)(134, 193)(135, 211)(136, 215)(137, 196)(138, 194)(139, 219)(140, 198)(141, 217)(142, 224)(143, 212)(144, 228)(145, 197)(146, 222)(147, 232)(148, 201)(149, 199)(150, 236)(151, 202)(152, 234)(153, 241)(154, 239)(155, 235)(156, 205)(157, 203)(158, 231)(159, 244)(160, 247)(161, 206)(162, 249)(163, 242)(164, 209)(165, 238)(166, 210)(167, 230)(168, 213)(169, 226)(170, 252)(171, 221)(172, 229)(173, 216)(174, 214)(175, 227)(176, 254)(177, 220)(178, 218)(179, 256)(180, 251)(181, 223)(182, 253)(183, 225)(184, 255)(185, 250)(186, 233)(187, 245)(188, 237)(189, 243)(190, 248)(191, 240)(192, 246)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1111
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1120 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 860>$ (small group id <128, 860>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y2^4, (Y2^-1 * Y1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y2^-2 * Y3 * Y2^-1, (Y1^-1 * Y2^-1 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 19, 83, 147, 211)(6, 70, 134, 198, 21, 85, 149, 213)(7, 71, 135, 199, 24, 88, 152, 216)(8, 72, 136, 200, 28, 92, 156, 220)(10, 74, 138, 202, 33, 97, 161, 225)(11, 75, 139, 203, 31, 95, 159, 223)(12, 76, 140, 204, 38, 102, 166, 230)(14, 78, 142, 206, 23, 87, 151, 215)(15, 79, 143, 207, 27, 91, 155, 219)(16, 80, 144, 208, 45, 109, 173, 237)(17, 81, 145, 209, 36, 100, 164, 228)(18, 82, 146, 210, 29, 93, 157, 221)(20, 84, 148, 212, 42, 106, 170, 234)(22, 86, 150, 214, 41, 105, 169, 233)(25, 89, 153, 217, 54, 118, 182, 246)(26, 90, 154, 218, 52, 116, 180, 244)(30, 94, 158, 222, 50, 114, 178, 242)(32, 96, 160, 224, 57, 121, 185, 249)(34, 98, 162, 226, 60, 124, 188, 252)(35, 99, 163, 227, 61, 125, 189, 253)(37, 101, 165, 229, 53, 117, 181, 245)(39, 103, 167, 231, 58, 122, 186, 250)(40, 104, 168, 232, 55, 119, 183, 247)(43, 107, 171, 235, 62, 126, 190, 254)(44, 108, 172, 236, 49, 113, 177, 241)(46, 110, 174, 238, 51, 115, 179, 243)(47, 111, 175, 239, 59, 123, 187, 251)(48, 112, 176, 240, 63, 127, 191, 255)(56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 82)(7, 69)(8, 90)(9, 93)(10, 67)(11, 98)(12, 101)(13, 103)(14, 96)(15, 106)(16, 68)(17, 108)(18, 109)(19, 92)(20, 87)(21, 107)(22, 70)(23, 113)(24, 77)(25, 72)(26, 119)(27, 122)(28, 81)(29, 117)(30, 85)(31, 73)(32, 80)(33, 125)(34, 74)(35, 120)(36, 76)(37, 114)(38, 118)(39, 116)(40, 79)(41, 115)(42, 127)(43, 123)(44, 83)(45, 86)(46, 121)(47, 84)(48, 126)(49, 111)(50, 100)(51, 97)(52, 88)(53, 95)(54, 128)(55, 89)(56, 112)(57, 91)(58, 110)(59, 94)(60, 102)(61, 105)(62, 99)(63, 104)(64, 124)(129, 195)(130, 200)(131, 204)(132, 207)(133, 210)(134, 193)(135, 215)(136, 219)(137, 222)(138, 194)(139, 227)(140, 198)(141, 232)(142, 233)(143, 235)(144, 236)(145, 196)(146, 238)(147, 230)(148, 197)(149, 234)(150, 229)(151, 242)(152, 243)(153, 199)(154, 248)(155, 202)(156, 251)(157, 252)(158, 253)(159, 208)(160, 201)(161, 213)(162, 250)(163, 247)(164, 203)(165, 241)(166, 255)(167, 211)(168, 206)(169, 205)(170, 246)(171, 209)(172, 244)(173, 254)(174, 212)(175, 249)(176, 214)(177, 240)(178, 217)(179, 256)(180, 223)(181, 216)(182, 225)(183, 228)(184, 239)(185, 218)(186, 237)(187, 221)(188, 220)(189, 224)(190, 226)(191, 231)(192, 245)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1112
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1121 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 860>$ (small group id <128, 860>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1^-1)^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, (Y1^-1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y1^2 * Y2^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y3 * Y2^-2 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 19, 83, 147, 211)(6, 70, 134, 198, 21, 85, 149, 213)(7, 71, 135, 199, 24, 88, 152, 216)(8, 72, 136, 200, 28, 92, 156, 220)(10, 74, 138, 202, 33, 97, 161, 225)(11, 75, 139, 203, 36, 100, 164, 228)(12, 76, 140, 204, 32, 96, 160, 224)(14, 78, 142, 206, 34, 98, 162, 226)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 25, 89, 153, 217)(17, 81, 145, 209, 45, 109, 173, 237)(18, 82, 146, 210, 40, 104, 168, 232)(20, 84, 148, 212, 31, 95, 159, 223)(22, 86, 150, 214, 43, 107, 171, 235)(23, 87, 151, 215, 51, 115, 179, 243)(26, 90, 154, 218, 57, 121, 185, 249)(27, 91, 155, 219, 54, 118, 182, 246)(29, 93, 157, 221, 55, 119, 183, 247)(30, 94, 158, 222, 59, 123, 187, 251)(35, 99, 163, 227, 60, 124, 188, 252)(37, 101, 165, 229, 53, 117, 181, 245)(39, 103, 167, 231, 50, 114, 178, 242)(41, 105, 169, 233, 62, 126, 190, 254)(42, 106, 170, 234, 58, 122, 186, 250)(44, 108, 172, 236, 49, 113, 177, 241)(46, 110, 174, 238, 61, 125, 189, 253)(47, 111, 175, 239, 52, 116, 180, 244)(48, 112, 176, 240, 63, 127, 191, 255)(56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 82)(7, 69)(8, 90)(9, 93)(10, 67)(11, 98)(12, 102)(13, 103)(14, 106)(15, 95)(16, 68)(17, 108)(18, 110)(19, 107)(20, 87)(21, 88)(22, 70)(23, 113)(24, 116)(25, 72)(26, 119)(27, 123)(28, 81)(29, 79)(30, 85)(31, 73)(32, 125)(33, 83)(34, 74)(35, 120)(36, 127)(37, 76)(38, 114)(39, 121)(40, 118)(41, 77)(42, 80)(43, 117)(44, 124)(45, 122)(46, 86)(47, 84)(48, 126)(49, 111)(50, 101)(51, 96)(52, 94)(53, 97)(54, 100)(55, 89)(56, 112)(57, 105)(58, 91)(59, 109)(60, 92)(61, 128)(62, 99)(63, 104)(64, 115)(129, 195)(130, 200)(131, 204)(132, 207)(133, 210)(134, 193)(135, 215)(136, 219)(137, 222)(138, 194)(139, 227)(140, 198)(141, 232)(142, 235)(143, 233)(144, 236)(145, 196)(146, 237)(147, 234)(148, 197)(149, 228)(150, 230)(151, 242)(152, 245)(153, 199)(154, 248)(155, 202)(156, 205)(157, 206)(158, 252)(159, 253)(160, 201)(161, 249)(162, 251)(163, 247)(164, 208)(165, 203)(166, 241)(167, 211)(168, 243)(169, 209)(170, 255)(171, 244)(172, 213)(173, 212)(174, 254)(175, 250)(176, 214)(177, 240)(178, 217)(179, 220)(180, 221)(181, 256)(182, 216)(183, 229)(184, 239)(185, 223)(186, 218)(187, 238)(188, 224)(189, 225)(190, 226)(191, 231)(192, 246)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1113
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1122 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y1 * Y3^-2 * Y2 * Y3 * Y1 * Y3^-1, Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3, Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2, (Y3^-2 * Y1 * Y2)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 27, 91)(11, 75, 30, 94)(13, 77, 35, 99)(14, 78, 37, 101)(16, 80, 41, 105)(18, 82, 31, 95)(19, 83, 47, 111)(21, 85, 50, 114)(22, 86, 52, 116)(24, 88, 28, 92)(25, 89, 44, 108)(26, 90, 53, 117)(29, 93, 34, 98)(32, 96, 60, 124)(33, 97, 42, 106)(36, 100, 39, 103)(38, 102, 46, 110)(40, 104, 49, 113)(43, 107, 51, 115)(45, 109, 63, 127)(48, 112, 62, 126)(54, 118, 59, 123)(55, 119, 57, 121)(56, 120, 61, 125)(58, 122, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 156, 220)(139, 203, 159, 223)(140, 204, 160, 224)(142, 206, 166, 230)(143, 207, 158, 222)(145, 209, 172, 236)(146, 210, 169, 233)(147, 211, 155, 219)(148, 212, 176, 240)(150, 214, 162, 226)(151, 215, 175, 239)(154, 218, 163, 227)(157, 221, 184, 248)(161, 225, 186, 250)(164, 228, 180, 244)(165, 229, 179, 243)(167, 231, 189, 253)(168, 232, 182, 246)(170, 234, 187, 251)(171, 235, 183, 247)(173, 237, 178, 242)(174, 238, 185, 249)(177, 241, 192, 256)(181, 245, 188, 252)(190, 254, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 149)(10, 157)(11, 131)(12, 161)(13, 164)(14, 133)(15, 167)(16, 170)(17, 141)(18, 174)(19, 134)(20, 177)(21, 179)(22, 136)(23, 171)(24, 168)(25, 169)(26, 137)(27, 182)(28, 183)(29, 139)(30, 185)(31, 187)(32, 153)(33, 190)(34, 140)(35, 186)(36, 173)(37, 155)(38, 148)(39, 152)(40, 143)(41, 189)(42, 151)(43, 144)(44, 156)(45, 145)(46, 147)(47, 184)(48, 172)(49, 188)(50, 192)(51, 154)(52, 159)(53, 180)(54, 191)(55, 176)(56, 178)(57, 163)(58, 158)(59, 181)(60, 166)(61, 160)(62, 162)(63, 165)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1142
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1123 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y2 * Y3)^2, (Y3 * Y2)^4, Y3 * Y1 * Y3^-2 * Y2 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 11, 75)(8, 72, 13, 77)(10, 74, 23, 87)(14, 78, 30, 94)(16, 80, 33, 97)(18, 82, 38, 102)(19, 83, 40, 104)(20, 84, 42, 106)(21, 85, 36, 100)(22, 86, 24, 88)(25, 89, 41, 105)(26, 90, 50, 114)(27, 91, 52, 116)(28, 92, 31, 95)(29, 93, 44, 108)(32, 96, 35, 99)(34, 98, 56, 120)(37, 101, 39, 103)(43, 107, 59, 123)(45, 109, 57, 121)(46, 110, 62, 126)(47, 111, 49, 113)(48, 112, 54, 118)(51, 115, 53, 117)(55, 119, 63, 127)(58, 122, 60, 124)(61, 125, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 143, 207)(136, 200, 148, 212)(137, 201, 149, 213)(138, 202, 152, 216)(139, 203, 154, 218)(140, 204, 155, 219)(142, 206, 159, 223)(145, 209, 164, 228)(146, 210, 167, 231)(147, 211, 169, 233)(150, 214, 173, 237)(151, 215, 174, 238)(153, 217, 177, 241)(156, 220, 182, 246)(157, 221, 168, 232)(158, 222, 160, 224)(161, 225, 178, 242)(162, 226, 179, 243)(163, 227, 176, 240)(165, 229, 186, 250)(166, 230, 183, 247)(170, 234, 180, 244)(171, 235, 181, 245)(172, 236, 175, 239)(184, 248, 189, 253)(185, 249, 190, 254)(187, 251, 192, 256)(188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 147)(8, 130)(9, 143)(10, 153)(11, 131)(12, 134)(13, 157)(14, 133)(15, 160)(16, 162)(17, 141)(18, 156)(19, 136)(20, 171)(21, 167)(22, 137)(23, 149)(24, 176)(25, 139)(26, 179)(27, 181)(28, 140)(29, 165)(30, 155)(31, 183)(32, 150)(33, 158)(34, 185)(35, 144)(36, 152)(37, 145)(38, 164)(39, 175)(40, 154)(41, 174)(42, 168)(43, 188)(44, 148)(45, 189)(46, 184)(47, 151)(48, 166)(49, 186)(50, 169)(51, 170)(52, 159)(53, 161)(54, 173)(55, 187)(56, 178)(57, 163)(58, 192)(59, 180)(60, 172)(61, 191)(62, 177)(63, 182)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1143
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y2)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y1 * Y2^-1)^4, Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y2, (Y2^-1 * Y1 * Y2^-1 * Y3 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 30, 94)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(21, 85, 38, 102)(23, 87, 40, 104)(25, 89, 44, 108)(26, 90, 27, 91)(29, 93, 37, 101)(31, 95, 49, 113)(33, 97, 42, 106)(35, 99, 53, 117)(36, 100, 51, 115)(39, 103, 55, 119)(41, 105, 59, 123)(43, 107, 47, 111)(45, 109, 61, 125)(46, 110, 57, 121)(48, 112, 54, 118)(50, 114, 60, 124)(52, 116, 58, 122)(56, 120, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 159, 223, 145, 209)(137, 201, 147, 211, 163, 227, 149, 213)(141, 205, 153, 217, 173, 237, 154, 218)(142, 206, 155, 219, 174, 238, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(148, 212, 164, 228, 182, 246, 165, 229)(150, 214, 167, 231, 184, 248, 169, 233)(152, 216, 170, 234, 188, 252, 171, 235)(156, 220, 175, 239, 183, 247, 166, 230)(158, 222, 176, 240, 190, 254, 178, 242)(160, 224, 172, 236, 187, 251, 179, 243)(168, 232, 185, 249, 192, 256, 186, 250)(177, 241, 181, 245, 191, 255, 189, 253)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 159)(16, 134)(17, 136)(18, 160)(19, 164)(20, 137)(21, 165)(22, 168)(23, 138)(24, 141)(25, 170)(26, 171)(27, 175)(28, 142)(29, 166)(30, 177)(31, 143)(32, 146)(33, 172)(34, 179)(35, 182)(36, 147)(37, 149)(38, 157)(39, 185)(40, 150)(41, 186)(42, 153)(43, 154)(44, 161)(45, 188)(46, 183)(47, 155)(48, 181)(49, 158)(50, 189)(51, 162)(52, 187)(53, 176)(54, 163)(55, 174)(56, 192)(57, 167)(58, 169)(59, 180)(60, 173)(61, 178)(62, 191)(63, 190)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
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, 22, 86)(14, 78, 24, 88)(16, 80, 27, 91)(17, 81, 18, 82)(19, 83, 30, 94)(21, 85, 33, 97)(23, 87, 35, 99)(25, 89, 37, 101)(26, 90, 39, 103)(28, 92, 41, 105)(29, 93, 42, 106)(31, 95, 44, 108)(32, 96, 46, 110)(34, 98, 48, 112)(36, 100, 51, 115)(38, 102, 45, 109)(40, 104, 54, 118)(43, 107, 57, 121)(47, 111, 60, 124)(49, 113, 55, 119)(50, 114, 61, 125)(52, 116, 59, 123)(53, 117, 58, 122)(56, 120, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 136, 200, 132, 196)(130, 194, 133, 197, 139, 203, 134, 198)(135, 199, 141, 205, 151, 215, 142, 206)(137, 201, 144, 208, 156, 220, 145, 209)(138, 202, 146, 210, 157, 221, 147, 211)(140, 204, 149, 213, 162, 226, 150, 214)(143, 207, 153, 217, 166, 230, 154, 218)(148, 212, 159, 223, 173, 237, 160, 224)(152, 216, 164, 228, 180, 244, 165, 229)(155, 219, 167, 231, 181, 245, 168, 232)(158, 222, 171, 235, 186, 250, 172, 236)(161, 225, 174, 238, 187, 251, 175, 239)(163, 227, 177, 241, 169, 233, 178, 242)(170, 234, 183, 247, 176, 240, 184, 248)(179, 243, 189, 253, 182, 246, 190, 254)(185, 249, 191, 255, 188, 252, 192, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, Y1 * Y2^-2 * Y1 * Y2^2 * Y3, (Y3 * Y2)^4, (Y2 * Y1)^4, (Y1 * Y2 * Y3 * Y2^-1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 27, 91)(18, 82, 38, 102)(19, 83, 42, 106)(20, 84, 44, 108)(22, 86, 47, 111)(23, 87, 48, 112)(25, 89, 50, 114)(28, 92, 52, 116)(29, 93, 41, 105)(31, 95, 55, 119)(33, 97, 57, 121)(34, 98, 59, 123)(36, 100, 37, 101)(39, 103, 56, 120)(40, 104, 53, 117)(43, 107, 62, 126)(45, 109, 63, 127)(46, 110, 51, 115)(49, 113, 64, 128)(54, 118, 61, 125)(58, 122, 60, 124)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 154, 218, 148, 212)(137, 201, 151, 215, 163, 227, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 152, 216, 164, 228)(144, 208, 165, 229, 175, 239, 167, 231)(146, 210, 168, 232, 150, 214, 169, 233)(149, 213, 174, 238, 166, 230, 176, 240)(158, 222, 177, 241, 185, 249, 179, 243)(159, 223, 181, 245, 161, 225, 182, 246)(160, 224, 184, 248, 183, 247, 186, 250)(170, 234, 188, 252, 191, 255, 187, 251)(171, 235, 180, 244, 173, 237, 189, 253)(172, 236, 178, 242, 190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 154)(18, 134)(19, 171)(20, 173)(21, 175)(22, 136)(23, 177)(24, 137)(25, 179)(26, 145)(27, 138)(28, 181)(29, 182)(30, 183)(31, 140)(32, 185)(33, 141)(34, 184)(35, 142)(36, 186)(37, 188)(38, 144)(39, 187)(40, 180)(41, 189)(42, 190)(43, 147)(44, 191)(45, 148)(46, 178)(47, 149)(48, 192)(49, 151)(50, 174)(51, 153)(52, 168)(53, 156)(54, 157)(55, 158)(56, 162)(57, 160)(58, 164)(59, 167)(60, 165)(61, 169)(62, 170)(63, 172)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-2)^2, Y3 * Y2 * Y1 * Y2^2 * Y1 * Y2, (Y3 * Y2)^4, (Y2 * Y1)^4, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 28, 92)(18, 82, 38, 102)(19, 83, 42, 106)(20, 84, 44, 108)(22, 86, 47, 111)(23, 87, 48, 112)(25, 89, 51, 115)(27, 91, 52, 116)(29, 93, 41, 105)(31, 95, 55, 119)(33, 97, 56, 120)(34, 98, 57, 121)(36, 100, 37, 101)(39, 103, 58, 122)(40, 104, 53, 117)(43, 107, 62, 126)(45, 109, 63, 127)(46, 110, 50, 114)(49, 113, 64, 128)(54, 118, 61, 125)(59, 123, 60, 124)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 160, 224, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 158, 222, 164, 228)(144, 208, 165, 229, 172, 236, 167, 231)(146, 210, 154, 218, 150, 214, 169, 233)(149, 213, 174, 238, 170, 234, 176, 240)(152, 216, 177, 241, 184, 248, 178, 242)(159, 223, 181, 245, 161, 225, 182, 246)(163, 227, 186, 250, 183, 247, 187, 251)(166, 230, 188, 252, 191, 255, 185, 249)(171, 235, 180, 244, 173, 237, 189, 253)(175, 239, 179, 243, 190, 254, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 168)(18, 134)(19, 171)(20, 173)(21, 175)(22, 136)(23, 164)(24, 137)(25, 162)(26, 180)(27, 138)(28, 181)(29, 182)(30, 183)(31, 140)(32, 184)(33, 141)(34, 153)(35, 142)(36, 151)(37, 176)(38, 144)(39, 174)(40, 145)(41, 189)(42, 190)(43, 147)(44, 191)(45, 148)(46, 167)(47, 149)(48, 165)(49, 187)(50, 186)(51, 185)(52, 154)(53, 156)(54, 157)(55, 158)(56, 160)(57, 179)(58, 178)(59, 177)(60, 192)(61, 169)(62, 170)(63, 172)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y3^4, Y2^4, (R * Y1)^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^-1 * Y1 * Y2^-1 * Y3^2 * Y2^-1, (Y2^-1 * Y3 * Y2^-1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 38, 102)(13, 77, 33, 97)(14, 78, 36, 100)(15, 79, 45, 109)(16, 80, 28, 92)(17, 81, 47, 111)(19, 83, 34, 98)(20, 84, 46, 110)(21, 85, 25, 89)(22, 86, 31, 95)(24, 88, 53, 117)(26, 90, 51, 115)(27, 91, 60, 124)(29, 93, 62, 126)(32, 96, 61, 125)(35, 99, 64, 128)(37, 101, 58, 122)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 63, 127)(42, 106, 59, 123)(43, 107, 52, 116)(44, 108, 57, 121)(48, 112, 56, 120)(49, 113, 50, 114)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 168, 232, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 155, 219, 183, 247, 157, 221)(138, 202, 161, 225, 182, 246, 162, 226)(139, 203, 163, 227, 188, 252, 165, 229)(141, 205, 169, 233, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 174, 238, 181, 245, 164, 228)(146, 210, 176, 240, 190, 254, 177, 241)(151, 215, 178, 242, 173, 237, 180, 244)(153, 217, 184, 248, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 189, 253, 166, 230, 179, 243)(158, 222, 191, 255, 175, 239, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 164)(12, 167)(13, 157)(14, 131)(15, 160)(16, 134)(17, 154)(18, 174)(19, 155)(20, 133)(21, 151)(22, 158)(23, 179)(24, 182)(25, 145)(26, 135)(27, 148)(28, 138)(29, 142)(30, 189)(31, 143)(32, 137)(33, 139)(34, 146)(35, 180)(36, 190)(37, 185)(38, 183)(39, 181)(40, 140)(41, 178)(42, 184)(43, 192)(44, 186)(45, 150)(46, 188)(47, 149)(48, 187)(49, 191)(50, 165)(51, 175)(52, 170)(53, 168)(54, 166)(55, 152)(56, 163)(57, 169)(58, 177)(59, 171)(60, 162)(61, 173)(62, 161)(63, 172)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1136
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2^-2 * Y1, (Y3 * Y1)^2, Y2 * Y1 * Y3^-1 * Y2, (R * Y3)^2, Y3^4, (R * Y1)^2, Y3^-1 * Y1 * Y3 * Y2^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y2 * R * Y3 * Y2^-1 * Y3 * Y2, Y2^-1 * Y3 * R * Y2^-1 * R * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 12, 76)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 19, 83)(13, 77, 26, 90)(14, 78, 31, 95)(15, 79, 22, 86)(16, 80, 32, 96)(17, 81, 29, 93)(20, 84, 36, 100)(21, 85, 41, 105)(23, 87, 42, 106)(24, 88, 39, 103)(25, 89, 40, 104)(27, 91, 45, 109)(28, 92, 49, 113)(30, 94, 35, 99)(33, 97, 51, 115)(34, 98, 52, 116)(37, 101, 53, 117)(38, 102, 57, 121)(43, 107, 59, 123)(44, 108, 60, 124)(46, 110, 54, 118)(47, 111, 61, 125)(48, 112, 58, 122)(50, 114, 56, 120)(55, 119, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 135, 199, 134, 198, 137, 201)(132, 196, 142, 206, 150, 214, 144, 208)(136, 200, 149, 213, 143, 207, 151, 215)(139, 203, 153, 217, 141, 205, 155, 219)(140, 204, 156, 220, 145, 209, 158, 222)(146, 210, 163, 227, 148, 212, 165, 229)(147, 211, 166, 230, 152, 216, 168, 232)(154, 218, 174, 238, 157, 221, 175, 239)(159, 223, 173, 237, 161, 225, 176, 240)(160, 224, 178, 242, 162, 226, 177, 241)(164, 228, 182, 246, 167, 231, 183, 247)(169, 233, 181, 245, 171, 235, 184, 248)(170, 234, 186, 250, 172, 236, 185, 249)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 139)(6, 129)(7, 147)(8, 150)(9, 146)(10, 130)(11, 154)(12, 157)(13, 131)(14, 160)(15, 134)(16, 159)(17, 133)(18, 164)(19, 167)(20, 135)(21, 170)(22, 138)(23, 169)(24, 137)(25, 173)(26, 145)(27, 168)(28, 163)(29, 141)(30, 177)(31, 179)(32, 180)(33, 142)(34, 144)(35, 181)(36, 152)(37, 158)(38, 153)(39, 148)(40, 185)(41, 187)(42, 188)(43, 149)(44, 151)(45, 186)(46, 189)(47, 182)(48, 155)(49, 184)(50, 156)(51, 162)(52, 161)(53, 178)(54, 191)(55, 174)(56, 165)(57, 176)(58, 166)(59, 172)(60, 171)(61, 192)(62, 175)(63, 190)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1135
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, Y2^4, (Y3 * Y2^-2)^2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y3^-1, (Y2 * Y3 * Y2)^2, Y3^-2 * Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2 * Y1)^4, Y2^-2 * Y1 * Y2^2 * Y3^2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 38, 102)(13, 77, 37, 101)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 46, 110)(20, 84, 29, 93)(21, 85, 47, 111)(22, 86, 45, 109)(24, 88, 53, 117)(25, 89, 52, 116)(31, 95, 61, 125)(33, 97, 62, 126)(34, 98, 60, 124)(35, 99, 64, 128)(36, 100, 56, 120)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 51, 115)(42, 106, 59, 123)(43, 107, 63, 127)(44, 108, 57, 121)(48, 112, 58, 122)(49, 113, 50, 114)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 168, 232, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 155, 219, 183, 247, 157, 221)(138, 202, 161, 225, 182, 246, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 169, 233, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 174, 238, 181, 245, 165, 229)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 184, 248, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 189, 253, 166, 230, 180, 244)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 167)(13, 162)(14, 131)(15, 173)(16, 134)(17, 175)(18, 157)(19, 161)(20, 133)(21, 160)(22, 154)(23, 143)(24, 182)(25, 150)(26, 135)(27, 188)(28, 138)(29, 190)(30, 145)(31, 149)(32, 137)(33, 148)(34, 142)(35, 186)(36, 178)(37, 139)(38, 183)(39, 181)(40, 140)(41, 185)(42, 191)(43, 187)(44, 179)(45, 180)(46, 146)(47, 189)(48, 192)(49, 184)(50, 171)(51, 163)(52, 151)(53, 168)(54, 166)(55, 152)(56, 170)(57, 176)(58, 172)(59, 164)(60, 165)(61, 158)(62, 174)(63, 177)(64, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1138
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y1 * Y2^-2 * Y3^-1, Y3^-1 * Y1 * Y2^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-2 * Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 13, 77)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 20, 84)(12, 76, 27, 91)(14, 78, 21, 85)(15, 79, 28, 92)(16, 80, 31, 95)(17, 81, 33, 97)(19, 83, 37, 101)(22, 86, 38, 102)(23, 87, 41, 105)(24, 88, 43, 107)(25, 89, 40, 104)(26, 90, 45, 109)(29, 93, 49, 113)(30, 94, 35, 99)(32, 96, 51, 115)(34, 98, 52, 116)(36, 100, 53, 117)(39, 103, 57, 121)(42, 106, 59, 123)(44, 108, 60, 124)(46, 110, 58, 122)(47, 111, 55, 119)(48, 112, 61, 125)(50, 114, 54, 118)(56, 120, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 136, 200, 133, 197)(130, 194, 135, 199, 132, 196, 137, 201)(134, 198, 144, 208, 149, 213, 145, 209)(138, 202, 151, 215, 142, 206, 152, 216)(139, 203, 153, 217, 140, 204, 154, 218)(141, 205, 157, 221, 143, 207, 158, 222)(146, 210, 163, 227, 147, 211, 164, 228)(148, 212, 167, 231, 150, 214, 168, 232)(155, 219, 175, 239, 156, 220, 176, 240)(159, 223, 173, 237, 160, 224, 174, 238)(161, 225, 178, 242, 162, 226, 177, 241)(165, 229, 183, 247, 166, 230, 184, 248)(169, 233, 181, 245, 170, 234, 182, 246)(171, 235, 186, 250, 172, 236, 185, 249)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 142)(5, 143)(6, 129)(7, 147)(8, 149)(9, 150)(10, 130)(11, 133)(12, 156)(13, 131)(14, 134)(15, 155)(16, 160)(17, 162)(18, 137)(19, 166)(20, 135)(21, 138)(22, 165)(23, 170)(24, 172)(25, 167)(26, 174)(27, 139)(28, 141)(29, 178)(30, 164)(31, 145)(32, 180)(33, 144)(34, 179)(35, 157)(36, 182)(37, 146)(38, 148)(39, 186)(40, 154)(41, 152)(42, 188)(43, 151)(44, 187)(45, 153)(46, 185)(47, 184)(48, 190)(49, 158)(50, 181)(51, 159)(52, 161)(53, 163)(54, 177)(55, 176)(56, 192)(57, 168)(58, 173)(59, 169)(60, 171)(61, 175)(62, 191)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1137
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, Y2^-2 * Y3 * Y2^-2 * Y1, (Y3 * Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y2^-1, (Y2 * Y3 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(17, 81, 37, 101)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 38, 102)(25, 89, 48, 112)(27, 91, 34, 98)(28, 92, 50, 114)(30, 94, 51, 115)(32, 96, 52, 116)(36, 100, 56, 120)(39, 103, 58, 122)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 57, 121)(46, 110, 61, 125)(47, 111, 55, 119)(49, 113, 53, 117)(54, 118, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 143, 207, 153, 217)(139, 203, 155, 219, 142, 206, 156, 220)(144, 208, 162, 226, 150, 214, 164, 228)(146, 210, 166, 230, 149, 213, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 177, 241, 160, 224, 178, 242)(158, 222, 173, 237, 159, 223, 176, 240)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 185, 249, 171, 235, 186, 250)(169, 233, 181, 245, 170, 234, 184, 248)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 145)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 138)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 167)(26, 165)(27, 177)(28, 164)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 156)(37, 154)(38, 185)(39, 153)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 182)(47, 190)(48, 186)(49, 155)(50, 184)(51, 157)(52, 159)(53, 162)(54, 174)(55, 192)(56, 178)(57, 166)(58, 176)(59, 168)(60, 170)(61, 191)(62, 175)(63, 189)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1140
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3 * Y1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, Y1 * Y3 * Y2^-2 * Y3 * Y1 * Y2^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y3 * Y1, (Y3 * Y2^-1)^4, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 33, 97)(15, 79, 36, 100)(17, 81, 43, 107)(18, 82, 41, 105)(19, 83, 47, 111)(20, 84, 50, 114)(22, 86, 53, 117)(23, 87, 54, 118)(25, 89, 55, 119)(27, 91, 48, 112)(28, 92, 56, 120)(29, 93, 52, 116)(31, 95, 44, 108)(32, 96, 59, 123)(34, 98, 58, 122)(35, 99, 46, 110)(37, 101, 40, 104)(38, 102, 42, 106)(39, 103, 45, 109)(49, 113, 62, 126)(51, 115, 61, 125)(57, 121, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(135, 199, 147, 211, 176, 240, 148, 212)(137, 201, 151, 215, 178, 242, 153, 217)(139, 203, 156, 220, 179, 243, 157, 221)(142, 206, 163, 227, 175, 239, 165, 229)(143, 207, 166, 230, 177, 241, 167, 231)(144, 208, 168, 232, 161, 225, 170, 234)(146, 210, 173, 237, 162, 226, 174, 238)(149, 213, 180, 244, 158, 222, 182, 246)(150, 214, 183, 247, 160, 224, 184, 248)(152, 216, 171, 235, 164, 228, 185, 249)(154, 218, 181, 245, 188, 252, 169, 233)(155, 219, 186, 250, 191, 255, 187, 251)(172, 236, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 160)(13, 162)(14, 164)(15, 133)(16, 169)(17, 172)(18, 134)(19, 177)(20, 179)(21, 181)(22, 136)(23, 168)(24, 137)(25, 174)(26, 176)(27, 138)(28, 173)(29, 170)(30, 187)(31, 171)(32, 140)(33, 186)(34, 141)(35, 183)(36, 142)(37, 182)(38, 180)(39, 184)(40, 151)(41, 144)(42, 157)(43, 159)(44, 145)(45, 156)(46, 153)(47, 190)(48, 154)(49, 147)(50, 189)(51, 148)(52, 166)(53, 149)(54, 165)(55, 163)(56, 167)(57, 191)(58, 161)(59, 158)(60, 192)(61, 178)(62, 175)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1139
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 36, 100)(23, 87, 42, 106)(24, 88, 39, 103)(26, 90, 40, 104)(27, 91, 44, 108)(28, 92, 35, 99)(29, 93, 37, 101)(30, 94, 43, 107)(31, 95, 34, 98)(32, 96, 41, 105)(33, 97, 38, 102)(45, 109, 56, 120)(46, 110, 58, 122)(47, 111, 60, 124)(48, 112, 53, 117)(49, 113, 59, 123)(50, 114, 54, 118)(51, 115, 57, 121)(52, 116, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 154)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 165)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 172)(24, 163)(25, 168)(26, 138)(27, 170)(28, 167)(29, 164)(30, 169)(31, 166)(32, 171)(33, 162)(34, 161)(35, 152)(36, 157)(37, 145)(38, 159)(39, 156)(40, 153)(41, 158)(42, 155)(43, 160)(44, 151)(45, 182)(46, 181)(47, 187)(48, 186)(49, 188)(50, 184)(51, 183)(52, 185)(53, 174)(54, 173)(55, 179)(56, 178)(57, 180)(58, 176)(59, 175)(60, 177)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1141
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^4, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2 * R * Y2^-1 * Y1)^2, (Y2 * Y3^-2 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 29, 93)(12, 76, 33, 97)(13, 77, 17, 81)(14, 78, 32, 96)(15, 79, 26, 90)(16, 80, 27, 91)(19, 83, 21, 85)(20, 84, 30, 94)(22, 86, 46, 110)(24, 88, 49, 113)(25, 89, 28, 92)(31, 95, 56, 120)(34, 98, 38, 102)(35, 99, 59, 123)(36, 100, 57, 121)(37, 101, 43, 107)(39, 103, 52, 116)(40, 104, 42, 106)(41, 105, 53, 117)(44, 108, 55, 119)(45, 109, 48, 112)(47, 111, 54, 118)(50, 114, 58, 122)(51, 115, 63, 127)(60, 124, 64, 128)(61, 125, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 163, 227, 145, 209)(134, 198, 149, 213, 162, 226, 150, 214)(136, 200, 154, 218, 178, 242, 156, 220)(138, 202, 147, 211, 167, 231, 142, 206)(139, 203, 159, 223, 169, 233, 155, 219)(141, 205, 164, 228, 148, 212, 166, 230)(144, 208, 151, 215, 176, 240, 170, 234)(146, 210, 172, 236, 175, 239, 173, 237)(153, 217, 179, 243, 158, 222, 180, 244)(157, 221, 183, 247, 165, 229, 184, 248)(160, 224, 185, 249, 189, 253, 186, 250)(161, 225, 168, 232, 188, 252, 171, 235)(174, 238, 191, 255, 190, 254, 187, 251)(177, 241, 181, 245, 192, 256, 182, 246)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 155)(9, 149)(10, 130)(11, 160)(12, 162)(13, 165)(14, 131)(15, 168)(16, 134)(17, 139)(18, 158)(19, 157)(20, 133)(21, 146)(22, 135)(23, 174)(24, 167)(25, 175)(26, 181)(27, 138)(28, 151)(29, 148)(30, 137)(31, 178)(32, 171)(33, 187)(34, 176)(35, 140)(36, 172)(37, 142)(38, 161)(39, 159)(40, 189)(41, 143)(42, 154)(43, 145)(44, 191)(45, 166)(46, 182)(47, 150)(48, 163)(49, 186)(50, 152)(51, 183)(52, 177)(53, 190)(54, 156)(55, 185)(56, 180)(57, 192)(58, 184)(59, 173)(60, 164)(61, 169)(62, 170)(63, 188)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1129
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y1 * Y3^-1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2 * R * Y2^-1 * R, (Y3 * Y2^-2)^2, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 27, 91)(12, 76, 33, 97)(13, 77, 32, 96)(14, 78, 22, 86)(15, 79, 20, 84)(16, 80, 26, 90)(17, 81, 41, 105)(19, 83, 28, 92)(21, 85, 29, 93)(24, 88, 49, 113)(25, 89, 30, 94)(31, 95, 54, 118)(34, 98, 59, 123)(35, 99, 39, 103)(36, 100, 47, 111)(37, 101, 52, 116)(38, 102, 57, 121)(40, 104, 46, 110)(42, 106, 56, 120)(43, 107, 53, 117)(44, 108, 48, 112)(45, 109, 55, 119)(50, 114, 58, 122)(51, 115, 62, 126)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 163, 227, 145, 209)(134, 198, 149, 213, 162, 226, 150, 214)(136, 200, 148, 212, 165, 229, 141, 205)(138, 202, 157, 221, 178, 242, 158, 222)(139, 203, 159, 223, 173, 237, 154, 218)(142, 206, 166, 230, 147, 211, 167, 231)(144, 208, 151, 215, 176, 240, 168, 232)(146, 210, 171, 235, 170, 234, 172, 236)(153, 217, 179, 243, 156, 220, 180, 244)(155, 219, 181, 245, 164, 228, 182, 246)(160, 224, 185, 249, 191, 255, 186, 250)(161, 225, 174, 238, 188, 252, 175, 239)(169, 233, 190, 254, 189, 253, 187, 251)(177, 241, 183, 247, 192, 256, 184, 248)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 145)(8, 154)(9, 156)(10, 130)(11, 150)(12, 162)(13, 164)(14, 131)(15, 137)(16, 134)(17, 170)(18, 143)(19, 155)(20, 133)(21, 173)(22, 175)(23, 158)(24, 178)(25, 135)(26, 138)(27, 148)(28, 146)(29, 168)(30, 184)(31, 165)(32, 139)(33, 167)(34, 176)(35, 140)(36, 142)(37, 152)(38, 188)(39, 172)(40, 189)(41, 151)(42, 153)(43, 166)(44, 187)(45, 191)(46, 149)(47, 160)(48, 163)(49, 180)(50, 159)(51, 192)(52, 182)(53, 179)(54, 186)(55, 157)(56, 169)(57, 181)(58, 177)(59, 161)(60, 190)(61, 183)(62, 171)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1128
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, R * Y2 * Y1 * R * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3, Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, (Y2^2 * Y3^2)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 27, 91)(12, 76, 33, 97)(13, 77, 25, 89)(14, 78, 17, 81)(15, 79, 39, 103)(16, 80, 26, 90)(19, 83, 43, 107)(20, 84, 21, 85)(22, 86, 30, 94)(24, 88, 50, 114)(28, 92, 29, 93)(31, 95, 54, 118)(32, 96, 49, 113)(34, 98, 57, 121)(35, 99, 37, 101)(36, 100, 59, 123)(38, 102, 53, 117)(40, 104, 55, 119)(41, 105, 47, 111)(42, 106, 48, 112)(44, 108, 45, 109)(46, 110, 56, 120)(51, 115, 62, 126)(52, 116, 58, 122)(60, 124, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 163, 227, 145, 209)(134, 198, 149, 213, 162, 226, 150, 214)(136, 200, 147, 211, 166, 230, 142, 206)(138, 202, 157, 221, 179, 243, 158, 222)(139, 203, 159, 223, 168, 232, 160, 224)(141, 205, 164, 228, 148, 212, 165, 229)(144, 208, 169, 233, 182, 246, 155, 219)(146, 210, 154, 218, 174, 238, 170, 234)(151, 215, 176, 240, 172, 236, 177, 241)(153, 217, 180, 244, 156, 220, 181, 245)(161, 225, 173, 237, 188, 252, 175, 239)(167, 231, 185, 249, 189, 253, 186, 250)(171, 235, 190, 254, 191, 255, 187, 251)(178, 242, 183, 247, 192, 256, 184, 248)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 154)(9, 143)(10, 130)(11, 145)(12, 162)(13, 151)(14, 131)(15, 168)(16, 134)(17, 135)(18, 149)(19, 172)(20, 133)(21, 173)(22, 174)(23, 142)(24, 179)(25, 139)(26, 138)(27, 157)(28, 137)(29, 183)(30, 169)(31, 185)(32, 164)(33, 165)(34, 182)(35, 140)(36, 188)(37, 159)(38, 152)(39, 155)(40, 156)(41, 189)(42, 166)(43, 146)(44, 148)(45, 171)(46, 191)(47, 150)(48, 190)(49, 180)(50, 181)(51, 170)(52, 192)(53, 176)(54, 163)(55, 167)(56, 158)(57, 161)(58, 160)(59, 177)(60, 186)(61, 184)(62, 178)(63, 175)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1131
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1138 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^-1)^2, Y3^4, Y3 * Y2 * Y3 * Y1 * Y2, (R * Y2 * Y3^-1)^2, Y2^2 * Y3^2 * Y2 * Y1 * Y2 * Y1, Y2^-1 * R * Y2 * Y1 * Y2 * Y1 * R * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 29, 93)(12, 76, 33, 97)(13, 77, 22, 86)(14, 78, 25, 89)(15, 79, 19, 83)(16, 80, 27, 91)(17, 81, 28, 92)(20, 84, 43, 107)(21, 85, 46, 110)(24, 88, 50, 114)(26, 90, 30, 94)(31, 95, 56, 120)(32, 96, 49, 113)(34, 98, 38, 102)(35, 99, 57, 121)(36, 100, 53, 117)(37, 101, 59, 123)(39, 103, 45, 109)(40, 104, 41, 105)(42, 106, 55, 119)(44, 108, 48, 112)(47, 111, 54, 118)(51, 115, 63, 127)(52, 116, 58, 122)(60, 124, 64, 128)(61, 125, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 163, 227, 145, 209)(134, 198, 149, 213, 162, 226, 150, 214)(136, 200, 154, 218, 179, 243, 156, 220)(138, 202, 148, 212, 164, 228, 141, 205)(139, 203, 159, 223, 175, 239, 160, 224)(142, 206, 165, 229, 147, 211, 166, 230)(144, 208, 168, 232, 184, 248, 157, 221)(146, 210, 155, 219, 170, 234, 172, 236)(151, 215, 176, 240, 173, 237, 177, 241)(153, 217, 180, 244, 158, 222, 181, 245)(161, 225, 167, 231, 188, 252, 169, 233)(171, 235, 191, 255, 190, 254, 187, 251)(174, 238, 185, 249, 189, 253, 186, 250)(178, 242, 182, 246, 192, 256, 183, 247)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 150)(8, 155)(9, 158)(10, 130)(11, 153)(12, 162)(13, 151)(14, 131)(15, 146)(16, 134)(17, 169)(18, 171)(19, 173)(20, 133)(21, 137)(22, 139)(23, 142)(24, 164)(25, 135)(26, 157)(27, 138)(28, 183)(29, 174)(30, 175)(31, 166)(32, 186)(33, 185)(34, 184)(35, 140)(36, 172)(37, 160)(38, 161)(39, 143)(40, 156)(41, 190)(42, 145)(43, 167)(44, 179)(45, 148)(46, 182)(47, 149)(48, 181)(49, 187)(50, 191)(51, 152)(52, 177)(53, 178)(54, 154)(55, 189)(56, 163)(57, 159)(58, 188)(59, 192)(60, 165)(61, 168)(62, 170)(63, 176)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1130
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1139 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, (Y2^-2 * Y1)^2, Y3 * Y2^-2 * Y1 * Y3 * Y2^-2, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, (Y2^-1 * Y3)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 42, 106)(20, 84, 44, 108)(22, 86, 46, 110)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 30, 94)(27, 91, 40, 104)(28, 92, 41, 105)(31, 95, 54, 118)(33, 97, 57, 121)(35, 99, 47, 111)(36, 100, 48, 112)(43, 107, 62, 126)(45, 109, 64, 128)(49, 113, 53, 117)(50, 114, 60, 124)(51, 115, 61, 125)(52, 116, 58, 122)(55, 119, 63, 127)(56, 120, 59, 123)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 154, 218, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 162, 226, 156, 220)(143, 207, 163, 227, 152, 216, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(146, 210, 168, 232, 174, 238, 169, 233)(150, 214, 175, 239, 166, 230, 176, 240)(157, 221, 181, 245, 160, 224, 178, 242)(159, 223, 183, 247, 185, 249, 184, 248)(161, 225, 186, 250, 182, 246, 179, 243)(170, 234, 177, 241, 172, 236, 188, 252)(171, 235, 191, 255, 192, 256, 187, 251)(173, 237, 180, 244, 190, 254, 189, 253)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 158)(18, 134)(19, 171)(20, 173)(21, 174)(22, 136)(23, 177)(24, 137)(25, 178)(26, 138)(27, 179)(28, 180)(29, 182)(30, 145)(31, 140)(32, 185)(33, 141)(34, 142)(35, 187)(36, 183)(37, 181)(38, 144)(39, 188)(40, 189)(41, 186)(42, 190)(43, 147)(44, 192)(45, 148)(46, 149)(47, 184)(48, 191)(49, 151)(50, 153)(51, 155)(52, 156)(53, 165)(54, 157)(55, 164)(56, 175)(57, 160)(58, 169)(59, 163)(60, 167)(61, 168)(62, 170)(63, 176)(64, 172)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1133
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1140 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, Y1 * Y2^2 * Y1 * Y2^-2, Y2^-2 * Y3 * Y2 * Y1 * Y2 * Y3, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^4, (Y1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 41, 105)(20, 84, 44, 108)(22, 86, 46, 110)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 36, 100)(28, 92, 35, 99)(30, 94, 42, 106)(31, 95, 52, 116)(33, 97, 55, 119)(43, 107, 61, 125)(45, 109, 62, 126)(47, 111, 58, 122)(48, 112, 57, 121)(49, 113, 60, 124)(50, 114, 53, 117)(51, 115, 59, 123)(54, 118, 56, 120)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 170, 234, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 150, 214, 156, 220)(143, 207, 163, 227, 146, 210, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(152, 216, 175, 239, 174, 238, 176, 240)(154, 218, 160, 224, 177, 241, 157, 221)(159, 223, 181, 245, 173, 237, 182, 246)(161, 225, 184, 248, 171, 235, 178, 242)(162, 226, 185, 249, 166, 230, 186, 250)(168, 232, 172, 236, 188, 252, 169, 233)(179, 243, 189, 253, 191, 255, 183, 247)(180, 244, 192, 256, 190, 254, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 168)(18, 134)(19, 171)(20, 173)(21, 174)(22, 136)(23, 158)(24, 137)(25, 177)(26, 138)(27, 178)(28, 179)(29, 180)(30, 151)(31, 140)(32, 183)(33, 141)(34, 142)(35, 187)(36, 181)(37, 170)(38, 144)(39, 188)(40, 145)(41, 189)(42, 165)(43, 147)(44, 190)(45, 148)(46, 149)(47, 191)(48, 184)(49, 153)(50, 155)(51, 156)(52, 157)(53, 164)(54, 185)(55, 160)(56, 176)(57, 182)(58, 192)(59, 163)(60, 167)(61, 169)(62, 172)(63, 175)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1132
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1141 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2^-1 * Y1 * Y2, Y2^4, (R * Y2 * Y3)^2, (Y2^-1 * Y3)^4, Y2 * Y1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 27, 91)(20, 84, 28, 92)(21, 85, 29, 93)(22, 86, 30, 94)(23, 87, 31, 95)(24, 88, 32, 96)(25, 89, 33, 97)(26, 90, 34, 98)(35, 99, 46, 110)(36, 100, 47, 111)(37, 101, 48, 112)(38, 102, 49, 113)(39, 103, 42, 106)(40, 104, 50, 114)(41, 105, 51, 115)(43, 107, 45, 109)(44, 108, 52, 116)(53, 117, 62, 126)(54, 118, 60, 124)(55, 119, 57, 121)(56, 120, 58, 122)(59, 123, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 172, 236, 154, 218)(143, 207, 156, 220, 176, 240, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 169, 233, 188, 252, 170, 234)(152, 216, 171, 235, 185, 249, 166, 230)(155, 219, 174, 238, 190, 254, 175, 239)(159, 223, 179, 243, 182, 246, 167, 231)(160, 224, 173, 237, 183, 247, 177, 241)(168, 232, 186, 250, 191, 255, 187, 251)(178, 242, 184, 248, 192, 256, 189, 253)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 173)(26, 169)(27, 142)(28, 177)(29, 170)(30, 178)(31, 144)(32, 145)(33, 171)(34, 179)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 154)(42, 157)(43, 161)(44, 189)(45, 153)(46, 188)(47, 185)(48, 186)(49, 156)(50, 158)(51, 162)(52, 187)(53, 191)(54, 163)(55, 164)(56, 165)(57, 175)(58, 176)(59, 180)(60, 174)(61, 172)(62, 192)(63, 181)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1134
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1142 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^2 * Y3^2, (Y3, Y2^-1), (R * Y3)^2, Y3^-2 * Y2^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^4, (Y2 * Y1^-1)^2, Y2^-1 * Y3^-2 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y2)^2, Y2^-1 * Y1^-1 * Y3^-1 * Y2^-1 * Y1 * Y3^-1, Y2 * Y1 * Y2 * Y3^-1 * Y1^-2 * Y2^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 33, 97, 11, 75)(4, 68, 17, 81, 42, 106, 18, 82)(6, 70, 19, 83, 47, 111, 22, 86)(7, 71, 23, 87, 32, 96, 10, 74)(9, 73, 28, 92, 55, 119, 26, 90)(12, 76, 34, 98, 54, 118, 25, 89)(14, 78, 39, 103, 53, 117, 37, 101)(15, 79, 30, 94, 52, 116, 40, 104)(16, 80, 41, 105, 51, 115, 36, 100)(20, 84, 27, 91, 56, 120, 48, 112)(21, 85, 24, 88, 50, 114, 49, 113)(29, 93, 61, 125, 43, 107, 59, 123)(31, 95, 62, 126, 44, 108, 58, 122)(35, 99, 60, 124, 46, 110, 63, 127)(38, 102, 57, 121, 45, 109, 64, 128)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 157, 221, 139, 203)(132, 196, 143, 207, 135, 199, 144, 208)(133, 197, 147, 211, 172, 236, 149, 213)(136, 200, 152, 216, 179, 243, 154, 218)(138, 202, 158, 222, 140, 204, 159, 223)(141, 205, 163, 227, 182, 246, 165, 229)(145, 209, 171, 235, 148, 212, 168, 232)(146, 210, 169, 233, 178, 242, 174, 238)(150, 214, 167, 231, 184, 248, 173, 237)(151, 215, 166, 230, 183, 247, 164, 228)(153, 217, 180, 244, 155, 219, 181, 245)(156, 220, 185, 249, 176, 240, 187, 251)(160, 224, 190, 254, 175, 239, 192, 256)(161, 225, 189, 253, 170, 234, 191, 255)(162, 226, 188, 252, 177, 241, 186, 250)
	L = (1, 132)(2, 138)(3, 143)(4, 142)(5, 148)(6, 144)(7, 129)(8, 153)(9, 158)(10, 157)(11, 159)(12, 130)(13, 164)(14, 135)(15, 134)(16, 131)(17, 133)(18, 173)(19, 168)(20, 172)(21, 171)(22, 174)(23, 165)(24, 180)(25, 179)(26, 181)(27, 136)(28, 186)(29, 140)(30, 139)(31, 137)(32, 191)(33, 192)(34, 187)(35, 151)(36, 182)(37, 183)(38, 141)(39, 146)(40, 149)(41, 150)(42, 190)(43, 147)(44, 145)(45, 178)(46, 184)(47, 189)(48, 188)(49, 185)(50, 167)(51, 155)(52, 154)(53, 152)(54, 166)(55, 163)(56, 169)(57, 162)(58, 176)(59, 177)(60, 156)(61, 160)(62, 161)(63, 175)(64, 170)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1122
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1143 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 34>)
Aut   = $<128, 928>$ (small group id <128, 928>)
|r| :: 2
Presentation :: [ R^2, Y2^-1 * Y3^-1, Y1^-1 * Y2 * Y1^-1 * Y3^-1, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, R * Y2 * R * Y3^-1, Y2^4, Y3^-1 * Y1 * Y3 * Y1^-2 * Y2^-1 * Y1 * Y2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66, 6, 70, 5, 69)(3, 67, 9, 73, 18, 82, 8, 72)(4, 68, 11, 75, 22, 86, 12, 76)(7, 71, 16, 80, 28, 92, 15, 79)(10, 74, 21, 85, 35, 99, 20, 84)(13, 77, 14, 78, 26, 90, 25, 89)(17, 81, 31, 95, 45, 109, 30, 94)(19, 83, 33, 97, 40, 104, 32, 96)(23, 87, 39, 103, 51, 115, 38, 102)(24, 88, 37, 101, 43, 107, 29, 93)(27, 91, 42, 106, 53, 117, 41, 105)(34, 98, 48, 112, 57, 121, 47, 111)(36, 100, 44, 108, 55, 119, 49, 113)(46, 110, 52, 116, 60, 124, 56, 120)(50, 114, 59, 123, 61, 125, 54, 118)(58, 122, 62, 126, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 132, 196)(130, 194, 135, 199, 145, 209, 136, 200)(133, 197, 139, 203, 151, 215, 141, 205)(134, 198, 142, 206, 155, 219, 143, 207)(137, 201, 147, 211, 162, 226, 148, 212)(140, 204, 149, 213, 164, 228, 152, 216)(144, 208, 157, 221, 172, 236, 158, 222)(146, 210, 159, 223, 174, 238, 160, 224)(150, 214, 165, 229, 178, 242, 166, 230)(153, 217, 167, 231, 175, 239, 161, 225)(154, 218, 168, 232, 180, 244, 169, 233)(156, 220, 170, 234, 182, 246, 171, 235)(163, 227, 176, 240, 186, 250, 177, 241)(173, 237, 183, 247, 190, 254, 184, 248)(179, 243, 187, 251, 191, 255, 185, 249)(181, 245, 188, 252, 192, 256, 189, 253)
	L = (1, 132)(2, 136)(3, 129)(4, 138)(5, 141)(6, 143)(7, 130)(8, 145)(9, 148)(10, 131)(11, 133)(12, 152)(13, 151)(14, 134)(15, 155)(16, 158)(17, 135)(18, 160)(19, 137)(20, 162)(21, 140)(22, 166)(23, 139)(24, 164)(25, 161)(26, 169)(27, 142)(28, 171)(29, 144)(30, 172)(31, 146)(32, 174)(33, 175)(34, 147)(35, 177)(36, 149)(37, 150)(38, 178)(39, 153)(40, 154)(41, 180)(42, 156)(43, 182)(44, 157)(45, 184)(46, 159)(47, 167)(48, 163)(49, 186)(50, 165)(51, 185)(52, 168)(53, 189)(54, 170)(55, 173)(56, 190)(57, 191)(58, 176)(59, 179)(60, 181)(61, 192)(62, 183)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1123
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1144 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 950>$ (small group id <128, 950>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 80, 16, 75, 11, 67)(4, 76, 12, 81, 17, 77, 13, 68)(7, 82, 18, 78, 14, 84, 20, 71)(8, 85, 21, 79, 15, 86, 22, 72)(10, 83, 19, 92, 28, 89, 25, 74)(23, 97, 33, 90, 26, 98, 34, 87)(24, 99, 35, 91, 27, 100, 36, 88)(29, 101, 37, 95, 31, 102, 38, 93)(30, 103, 39, 96, 32, 104, 40, 94)(41, 113, 49, 107, 43, 114, 50, 105)(42, 115, 51, 108, 44, 116, 52, 106)(45, 117, 53, 111, 47, 118, 54, 109)(46, 119, 55, 112, 48, 120, 56, 110)(57, 128, 64, 123, 59, 126, 62, 121)(58, 127, 63, 124, 60, 125, 61, 122)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 26)(12, 24)(13, 27)(15, 25)(17, 28)(18, 29)(20, 31)(21, 30)(22, 32)(33, 41)(34, 43)(35, 42)(36, 44)(37, 45)(38, 47)(39, 46)(40, 48)(49, 57)(50, 59)(51, 58)(52, 60)(53, 61)(54, 63)(55, 62)(56, 64)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 88)(75, 91)(76, 87)(77, 90)(78, 89)(80, 92)(82, 94)(84, 96)(85, 93)(86, 95)(97, 106)(98, 108)(99, 105)(100, 107)(101, 110)(102, 112)(103, 109)(104, 111)(113, 122)(114, 124)(115, 121)(116, 123)(117, 126)(118, 128)(119, 125)(120, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1145 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 947>$ (small group id <128, 947>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y3 * Y2)^2, Y2 * Y3 * Y1^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y3 * Y1^-1, (R * Y1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 68, 4, 74, 10, 67)(7, 75, 11, 72, 8, 76, 12, 71)(13, 81, 17, 78, 14, 82, 18, 77)(15, 83, 19, 80, 16, 84, 20, 79)(21, 89, 25, 86, 22, 90, 26, 85)(23, 91, 27, 88, 24, 92, 28, 87)(29, 97, 33, 94, 30, 98, 34, 93)(31, 99, 35, 96, 32, 100, 36, 95)(37, 105, 41, 102, 38, 106, 42, 101)(39, 107, 43, 104, 40, 108, 44, 103)(45, 113, 49, 110, 46, 114, 50, 109)(47, 115, 51, 112, 48, 116, 52, 111)(53, 121, 57, 118, 54, 122, 58, 117)(55, 123, 59, 120, 56, 124, 60, 119)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 6)(5, 8)(9, 13)(10, 14)(11, 15)(12, 16)(17, 21)(18, 22)(19, 23)(20, 24)(25, 29)(26, 30)(27, 31)(28, 32)(33, 37)(34, 38)(35, 39)(36, 40)(41, 45)(42, 46)(43, 47)(44, 48)(49, 53)(50, 54)(51, 55)(52, 56)(57, 61)(58, 62)(59, 63)(60, 64)(65, 68)(66, 72)(67, 70)(69, 71)(73, 78)(74, 77)(75, 80)(76, 79)(81, 86)(82, 85)(83, 88)(84, 87)(89, 94)(90, 93)(91, 96)(92, 95)(97, 102)(98, 101)(99, 104)(100, 103)(105, 110)(106, 109)(107, 112)(108, 111)(113, 118)(114, 117)(115, 120)(116, 119)(121, 126)(122, 125)(123, 128)(124, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1146 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 918>$ (small group id <128, 918>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, (Y2 * Y1^-2)^2, (Y3 * Y1^-2)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 87, 23, 99, 35, 92, 28, 74)(13, 84, 20, 100, 36, 97, 33, 77)(25, 106, 42, 93, 29, 108, 44, 89)(26, 102, 38, 94, 30, 105, 41, 90)(27, 109, 45, 117, 53, 111, 47, 91)(31, 101, 37, 98, 34, 104, 40, 95)(32, 113, 49, 118, 54, 115, 51, 96)(39, 119, 55, 116, 52, 121, 57, 103)(43, 122, 58, 112, 48, 124, 60, 107)(46, 123, 59, 127, 63, 125, 61, 110)(50, 120, 56, 128, 64, 126, 62, 114)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 26)(14, 30)(16, 28)(18, 36)(19, 37)(20, 39)(21, 40)(22, 38)(24, 41)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 59)(44, 60)(45, 56)(46, 57)(47, 62)(48, 61)(54, 64)(55, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 95)(77, 96)(78, 98)(79, 97)(81, 99)(83, 102)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(91, 110)(92, 112)(93, 111)(100, 118)(101, 119)(103, 120)(104, 121)(113, 123)(114, 124)(115, 125)(116, 126)(117, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1147 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y2, Y1^4, (Y3 * Y2)^8 ]
Map::
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 72, 8, 77, 13, 74, 10, 67)(4, 71, 7, 78, 14, 76, 12, 68)(9, 80, 16, 85, 21, 82, 18, 73)(11, 79, 15, 86, 22, 84, 20, 75)(17, 88, 24, 93, 29, 90, 26, 81)(19, 87, 23, 94, 30, 92, 28, 83)(25, 96, 32, 101, 37, 98, 34, 89)(27, 95, 31, 102, 38, 100, 36, 91)(33, 104, 40, 109, 45, 106, 42, 97)(35, 103, 39, 110, 46, 108, 44, 99)(41, 112, 48, 117, 53, 114, 50, 105)(43, 111, 47, 118, 54, 116, 52, 107)(49, 120, 56, 124, 60, 122, 58, 113)(51, 119, 55, 125, 61, 123, 59, 115)(57, 126, 62, 128, 64, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 11)(5, 12)(6, 13)(8, 16)(9, 17)(10, 18)(14, 22)(15, 23)(19, 27)(20, 28)(21, 29)(24, 32)(25, 33)(26, 34)(30, 38)(31, 39)(35, 43)(36, 44)(37, 45)(40, 48)(41, 49)(42, 50)(46, 54)(47, 55)(51, 57)(52, 59)(53, 60)(56, 62)(58, 63)(61, 64)(65, 68)(66, 72)(67, 73)(69, 74)(70, 78)(71, 79)(75, 83)(76, 84)(77, 85)(80, 88)(81, 89)(82, 90)(86, 94)(87, 95)(91, 99)(92, 100)(93, 101)(96, 104)(97, 105)(98, 106)(102, 110)(103, 111)(107, 115)(108, 116)(109, 117)(112, 120)(113, 121)(114, 122)(118, 125)(119, 126)(123, 127)(124, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1148 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 950>$ (small group id <128, 950>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 49, 113, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(28, 92, 51, 115, 30, 94, 52, 116)(35, 99, 54, 118, 63, 127, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(45, 109, 58, 122, 64, 128, 56, 120)(48, 112, 53, 117, 50, 114, 62, 126)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 150)(144, 147)(153, 173)(154, 176)(155, 178)(156, 174)(157, 177)(158, 175)(159, 179)(160, 180)(161, 171)(162, 172)(163, 181)(164, 184)(165, 186)(166, 182)(167, 185)(168, 183)(169, 187)(170, 188)(189, 192)(190, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 221)(207, 219)(209, 227)(210, 230)(211, 232)(212, 228)(214, 231)(215, 229)(223, 235)(224, 236)(225, 233)(226, 234)(237, 251)(238, 247)(239, 246)(240, 250)(241, 253)(242, 248)(243, 245)(244, 254)(249, 255)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1156
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1149 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 947>$ (small group id <128, 947>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3^-1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y2 * Y1)^8 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 16, 80, 8, 72)(3, 67, 10, 74, 20, 84, 11, 75)(6, 70, 14, 78, 24, 88, 15, 79)(9, 73, 18, 82, 28, 92, 19, 83)(13, 77, 22, 86, 32, 96, 23, 87)(17, 81, 26, 90, 36, 100, 27, 91)(21, 85, 30, 94, 40, 104, 31, 95)(25, 89, 34, 98, 44, 108, 35, 99)(29, 93, 38, 102, 48, 112, 39, 103)(33, 97, 42, 106, 52, 116, 43, 107)(37, 101, 46, 110, 56, 120, 47, 111)(41, 105, 50, 114, 59, 123, 51, 115)(45, 109, 54, 118, 62, 126, 55, 119)(49, 113, 57, 121, 63, 127, 58, 122)(53, 117, 60, 124, 64, 128, 61, 125)(129, 130)(131, 137)(132, 139)(133, 138)(134, 141)(135, 143)(136, 142)(140, 144)(145, 153)(146, 155)(147, 154)(148, 156)(149, 157)(150, 159)(151, 158)(152, 160)(161, 169)(162, 171)(163, 170)(164, 172)(165, 173)(166, 175)(167, 174)(168, 176)(177, 181)(178, 186)(179, 185)(180, 187)(182, 189)(183, 188)(184, 190)(191, 192)(193, 195)(194, 198)(196, 200)(197, 199)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 241)(234, 243)(235, 242)(236, 244)(237, 245)(238, 247)(239, 246)(240, 248)(249, 253)(250, 252)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1157
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1150 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 918>$ (small group id <128, 918>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 49, 113, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 61, 125, 47, 111)(28, 92, 51, 115, 30, 94, 52, 116)(35, 99, 54, 118, 63, 127, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(45, 109, 56, 120, 64, 128, 58, 122)(48, 112, 62, 126, 50, 114, 53, 117)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 150)(144, 147)(153, 173)(154, 176)(155, 178)(156, 174)(157, 177)(158, 175)(159, 179)(160, 180)(161, 171)(162, 172)(163, 181)(164, 184)(165, 186)(166, 182)(167, 185)(168, 183)(169, 187)(170, 188)(189, 192)(190, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 221)(207, 219)(209, 227)(210, 230)(211, 232)(212, 228)(214, 231)(215, 229)(223, 235)(224, 236)(225, 233)(226, 234)(237, 252)(238, 246)(239, 247)(240, 248)(241, 253)(242, 250)(243, 254)(244, 245)(249, 255)(251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1158
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1151 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1, Y3^4, (Y2 * Y1)^8 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 16, 80, 8, 72)(3, 67, 10, 74, 20, 84, 11, 75)(6, 70, 14, 78, 24, 88, 15, 79)(9, 73, 18, 82, 28, 92, 19, 83)(13, 77, 22, 86, 32, 96, 23, 87)(17, 81, 26, 90, 36, 100, 27, 91)(21, 85, 30, 94, 40, 104, 31, 95)(25, 89, 34, 98, 44, 108, 35, 99)(29, 93, 38, 102, 48, 112, 39, 103)(33, 97, 42, 106, 52, 116, 43, 107)(37, 101, 46, 110, 56, 120, 47, 111)(41, 105, 50, 114, 59, 123, 51, 115)(45, 109, 54, 118, 62, 126, 55, 119)(49, 113, 57, 121, 63, 127, 58, 122)(53, 117, 60, 124, 64, 128, 61, 125)(129, 130)(131, 137)(132, 138)(133, 139)(134, 141)(135, 142)(136, 143)(140, 144)(145, 153)(146, 154)(147, 155)(148, 156)(149, 157)(150, 158)(151, 159)(152, 160)(161, 169)(162, 170)(163, 171)(164, 172)(165, 173)(166, 174)(167, 175)(168, 176)(177, 181)(178, 185)(179, 186)(180, 187)(182, 188)(183, 189)(184, 190)(191, 192)(193, 195)(194, 198)(196, 199)(197, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 241)(234, 242)(235, 243)(236, 244)(237, 245)(238, 246)(239, 247)(240, 248)(249, 252)(250, 253)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1159
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1152 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 872>$ (small group id <128, 872>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y1^4, Y2^2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y2 * Y3 * Y2^-2 * Y3 * Y2, (Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 19, 83)(7, 71, 20, 84)(8, 72, 22, 86)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 34, 98)(14, 78, 35, 99)(15, 79, 36, 100)(16, 80, 37, 101)(17, 81, 38, 102)(21, 85, 40, 104)(23, 87, 44, 108)(24, 88, 45, 109)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 48, 112)(29, 93, 50, 114)(31, 95, 54, 118)(32, 96, 55, 119)(33, 97, 56, 120)(39, 103, 58, 122)(41, 105, 62, 126)(42, 106, 63, 127)(43, 107, 64, 128)(49, 113, 61, 125)(51, 115, 60, 124)(52, 116, 57, 121)(53, 117, 59, 123)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 148, 144)(136, 149, 138, 151)(137, 152, 146, 154)(140, 153, 147, 155)(143, 150, 145, 156)(157, 177, 159, 179)(158, 180, 162, 181)(160, 178, 161, 182)(163, 183, 165, 184)(164, 174, 166, 176)(167, 185, 169, 187)(168, 188, 172, 189)(170, 186, 171, 190)(173, 191, 175, 192)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 212, 209)(201, 217, 210, 219)(203, 221, 205, 223)(204, 224, 211, 225)(206, 222, 208, 226)(213, 231, 215, 233)(214, 234, 220, 235)(216, 232, 218, 236)(227, 238, 229, 240)(228, 237, 230, 239)(241, 255, 243, 256)(242, 254, 246, 250)(244, 253, 245, 252)(247, 249, 248, 251)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1160
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1153 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 868>$ (small group id <128, 868>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^2 * Y2^2, Y1 * Y2^-2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 15, 79)(6, 70, 14, 78)(7, 71, 16, 80)(8, 72, 18, 82)(10, 74, 20, 84)(11, 75, 22, 86)(13, 77, 24, 88)(17, 81, 26, 90)(19, 83, 28, 92)(21, 85, 30, 94)(23, 87, 32, 96)(25, 89, 34, 98)(27, 91, 36, 100)(29, 93, 38, 102)(31, 95, 40, 104)(33, 97, 42, 106)(35, 99, 44, 108)(37, 101, 46, 110)(39, 103, 48, 112)(41, 105, 50, 114)(43, 107, 52, 116)(45, 109, 54, 118)(47, 111, 56, 120)(49, 113, 58, 122)(51, 115, 60, 124)(53, 117, 61, 125)(55, 119, 62, 126)(57, 121, 63, 127)(59, 123, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 144, 140)(136, 145, 138, 147)(137, 148, 143, 146)(149, 157, 151, 159)(150, 160, 152, 158)(153, 161, 155, 163)(154, 164, 156, 162)(165, 173, 167, 175)(166, 176, 168, 174)(169, 177, 171, 179)(170, 180, 172, 178)(181, 185, 183, 187)(182, 190, 184, 189)(186, 192, 188, 191)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 208, 201)(203, 213, 205, 215)(204, 216, 206, 214)(209, 217, 211, 219)(210, 220, 212, 218)(221, 229, 223, 231)(222, 232, 224, 230)(225, 233, 227, 235)(226, 236, 228, 234)(237, 245, 239, 247)(238, 248, 240, 246)(241, 249, 243, 251)(242, 252, 244, 250)(253, 256, 254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1161
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1154 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 919>$ (small group id <128, 919>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y2^4, Y1^-2 * Y2^-2, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, (Y1 * Y3 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 19, 83)(7, 71, 20, 84)(8, 72, 22, 86)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 34, 98)(14, 78, 35, 99)(15, 79, 36, 100)(16, 80, 37, 101)(17, 81, 38, 102)(21, 85, 40, 104)(23, 87, 44, 108)(24, 88, 45, 109)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 48, 112)(29, 93, 50, 114)(31, 95, 54, 118)(32, 96, 55, 119)(33, 97, 56, 120)(39, 103, 58, 122)(41, 105, 62, 126)(42, 106, 63, 127)(43, 107, 64, 128)(49, 113, 60, 124)(51, 115, 61, 125)(52, 116, 59, 123)(53, 117, 57, 121)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 148, 144)(136, 149, 138, 151)(137, 152, 146, 154)(140, 153, 147, 155)(143, 150, 145, 156)(157, 177, 159, 179)(158, 180, 162, 181)(160, 178, 161, 182)(163, 183, 165, 184)(164, 174, 166, 176)(167, 185, 169, 187)(168, 188, 172, 189)(170, 186, 171, 190)(173, 191, 175, 192)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 212, 209)(201, 217, 210, 219)(203, 221, 205, 223)(204, 224, 211, 225)(206, 222, 208, 226)(213, 231, 215, 233)(214, 234, 220, 235)(216, 232, 218, 236)(227, 238, 229, 240)(228, 237, 230, 239)(241, 256, 243, 255)(242, 250, 246, 254)(244, 252, 245, 253)(247, 251, 248, 249)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1162
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1155 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, Y2^4, Y1 * Y2^-2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 15, 79)(6, 70, 14, 78)(7, 71, 16, 80)(8, 72, 18, 82)(10, 74, 20, 84)(11, 75, 22, 86)(13, 77, 24, 88)(17, 81, 26, 90)(19, 83, 28, 92)(21, 85, 30, 94)(23, 87, 32, 96)(25, 89, 34, 98)(27, 91, 36, 100)(29, 93, 38, 102)(31, 95, 40, 104)(33, 97, 42, 106)(35, 99, 44, 108)(37, 101, 46, 110)(39, 103, 48, 112)(41, 105, 50, 114)(43, 107, 52, 116)(45, 109, 54, 118)(47, 111, 56, 120)(49, 113, 58, 122)(51, 115, 60, 124)(53, 117, 61, 125)(55, 119, 62, 126)(57, 121, 63, 127)(59, 123, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 140, 144, 142)(136, 145, 138, 147)(137, 146, 143, 148)(149, 157, 151, 159)(150, 158, 152, 160)(153, 161, 155, 163)(154, 162, 156, 164)(165, 173, 167, 175)(166, 174, 168, 176)(169, 177, 171, 179)(170, 178, 172, 180)(181, 185, 183, 187)(182, 189, 184, 190)(186, 191, 188, 192)(193, 195, 199, 198)(194, 200, 197, 202)(196, 201, 208, 207)(203, 213, 205, 215)(204, 214, 206, 216)(209, 217, 211, 219)(210, 218, 212, 220)(221, 229, 223, 231)(222, 230, 224, 232)(225, 233, 227, 235)(226, 234, 228, 236)(237, 245, 239, 247)(238, 246, 240, 248)(241, 249, 243, 251)(242, 250, 244, 252)(253, 255, 254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1163
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1156 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 950>$ (small group id <128, 950>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 49, 113, 177, 241, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 57, 121, 185, 249, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 61, 125, 189, 253, 47, 111, 175, 239)(28, 92, 156, 220, 51, 115, 179, 243, 30, 94, 158, 222, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 63, 127, 191, 255, 55, 119, 183, 247)(38, 102, 166, 230, 59, 123, 187, 251, 40, 104, 168, 232, 60, 124, 188, 252)(45, 109, 173, 237, 58, 122, 186, 250, 64, 128, 192, 256, 56, 120, 184, 248)(48, 112, 176, 240, 53, 117, 181, 245, 50, 114, 178, 242, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 86)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 78)(23, 72)(24, 75)(25, 109)(26, 112)(27, 114)(28, 110)(29, 113)(30, 111)(31, 115)(32, 116)(33, 107)(34, 108)(35, 117)(36, 120)(37, 122)(38, 118)(39, 121)(40, 119)(41, 123)(42, 124)(43, 97)(44, 98)(45, 89)(46, 92)(47, 94)(48, 90)(49, 93)(50, 91)(51, 95)(52, 96)(53, 99)(54, 102)(55, 104)(56, 100)(57, 103)(58, 101)(59, 105)(60, 106)(61, 128)(62, 127)(63, 126)(64, 125)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 221)(143, 219)(144, 197)(145, 227)(146, 230)(147, 232)(148, 228)(149, 199)(150, 231)(151, 229)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 206)(158, 203)(159, 235)(160, 236)(161, 233)(162, 234)(163, 209)(164, 212)(165, 215)(166, 210)(167, 214)(168, 211)(169, 225)(170, 226)(171, 223)(172, 224)(173, 251)(174, 247)(175, 246)(176, 250)(177, 253)(178, 248)(179, 245)(180, 254)(181, 243)(182, 239)(183, 238)(184, 242)(185, 255)(186, 240)(187, 237)(188, 256)(189, 241)(190, 244)(191, 249)(192, 252)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1148
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1157 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 947>$ (small group id <128, 947>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3^-1 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y2 * Y1)^8 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 16, 80, 144, 208, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 20, 84, 148, 212, 11, 75, 139, 203)(6, 70, 134, 198, 14, 78, 142, 206, 24, 88, 152, 216, 15, 79, 143, 207)(9, 73, 137, 201, 18, 82, 146, 210, 28, 92, 156, 220, 19, 83, 147, 211)(13, 77, 141, 205, 22, 86, 150, 214, 32, 96, 160, 224, 23, 87, 151, 215)(17, 81, 145, 209, 26, 90, 154, 218, 36, 100, 164, 228, 27, 91, 155, 219)(21, 85, 149, 213, 30, 94, 158, 222, 40, 104, 168, 232, 31, 95, 159, 223)(25, 89, 153, 217, 34, 98, 162, 226, 44, 108, 172, 236, 35, 99, 163, 227)(29, 93, 157, 221, 38, 102, 166, 230, 48, 112, 176, 240, 39, 103, 167, 231)(33, 97, 161, 225, 42, 106, 170, 234, 52, 116, 180, 244, 43, 107, 171, 235)(37, 101, 165, 229, 46, 110, 174, 238, 56, 120, 184, 248, 47, 111, 175, 239)(41, 105, 169, 233, 50, 114, 178, 242, 59, 123, 187, 251, 51, 115, 179, 243)(45, 109, 173, 237, 54, 118, 182, 246, 62, 126, 190, 254, 55, 119, 183, 247)(49, 113, 177, 241, 57, 121, 185, 249, 63, 127, 191, 255, 58, 122, 186, 250)(53, 117, 181, 245, 60, 124, 188, 252, 64, 128, 192, 256, 61, 125, 189, 253)
	L = (1, 66)(2, 65)(3, 73)(4, 75)(5, 74)(6, 77)(7, 79)(8, 78)(9, 67)(10, 69)(11, 68)(12, 80)(13, 70)(14, 72)(15, 71)(16, 76)(17, 89)(18, 91)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 105)(34, 107)(35, 106)(36, 108)(37, 109)(38, 111)(39, 110)(40, 112)(41, 97)(42, 99)(43, 98)(44, 100)(45, 101)(46, 103)(47, 102)(48, 104)(49, 117)(50, 122)(51, 121)(52, 123)(53, 113)(54, 125)(55, 124)(56, 126)(57, 115)(58, 114)(59, 116)(60, 119)(61, 118)(62, 120)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 200)(133, 199)(134, 194)(135, 197)(136, 196)(137, 209)(138, 211)(139, 210)(140, 212)(141, 213)(142, 215)(143, 214)(144, 216)(145, 201)(146, 203)(147, 202)(148, 204)(149, 205)(150, 207)(151, 206)(152, 208)(153, 225)(154, 227)(155, 226)(156, 228)(157, 229)(158, 231)(159, 230)(160, 232)(161, 217)(162, 219)(163, 218)(164, 220)(165, 221)(166, 223)(167, 222)(168, 224)(169, 241)(170, 243)(171, 242)(172, 244)(173, 245)(174, 247)(175, 246)(176, 248)(177, 233)(178, 235)(179, 234)(180, 236)(181, 237)(182, 239)(183, 238)(184, 240)(185, 253)(186, 252)(187, 255)(188, 250)(189, 249)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1149
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1158 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 918>$ (small group id <128, 918>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 49, 113, 177, 241, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 57, 121, 185, 249, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 61, 125, 189, 253, 47, 111, 175, 239)(28, 92, 156, 220, 51, 115, 179, 243, 30, 94, 158, 222, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 63, 127, 191, 255, 55, 119, 183, 247)(38, 102, 166, 230, 59, 123, 187, 251, 40, 104, 168, 232, 60, 124, 188, 252)(45, 109, 173, 237, 56, 120, 184, 248, 64, 128, 192, 256, 58, 122, 186, 250)(48, 112, 176, 240, 62, 126, 190, 254, 50, 114, 178, 242, 53, 117, 181, 245)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 86)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 78)(23, 72)(24, 75)(25, 109)(26, 112)(27, 114)(28, 110)(29, 113)(30, 111)(31, 115)(32, 116)(33, 107)(34, 108)(35, 117)(36, 120)(37, 122)(38, 118)(39, 121)(40, 119)(41, 123)(42, 124)(43, 97)(44, 98)(45, 89)(46, 92)(47, 94)(48, 90)(49, 93)(50, 91)(51, 95)(52, 96)(53, 99)(54, 102)(55, 104)(56, 100)(57, 103)(58, 101)(59, 105)(60, 106)(61, 128)(62, 127)(63, 126)(64, 125)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 221)(143, 219)(144, 197)(145, 227)(146, 230)(147, 232)(148, 228)(149, 199)(150, 231)(151, 229)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 206)(158, 203)(159, 235)(160, 236)(161, 233)(162, 234)(163, 209)(164, 212)(165, 215)(166, 210)(167, 214)(168, 211)(169, 225)(170, 226)(171, 223)(172, 224)(173, 252)(174, 246)(175, 247)(176, 248)(177, 253)(178, 250)(179, 254)(180, 245)(181, 244)(182, 238)(183, 239)(184, 240)(185, 255)(186, 242)(187, 256)(188, 237)(189, 241)(190, 243)(191, 249)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1150
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1159 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^-1 * Y1 * Y3 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1, Y3^4, (Y2 * Y1)^8 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 16, 80, 144, 208, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 20, 84, 148, 212, 11, 75, 139, 203)(6, 70, 134, 198, 14, 78, 142, 206, 24, 88, 152, 216, 15, 79, 143, 207)(9, 73, 137, 201, 18, 82, 146, 210, 28, 92, 156, 220, 19, 83, 147, 211)(13, 77, 141, 205, 22, 86, 150, 214, 32, 96, 160, 224, 23, 87, 151, 215)(17, 81, 145, 209, 26, 90, 154, 218, 36, 100, 164, 228, 27, 91, 155, 219)(21, 85, 149, 213, 30, 94, 158, 222, 40, 104, 168, 232, 31, 95, 159, 223)(25, 89, 153, 217, 34, 98, 162, 226, 44, 108, 172, 236, 35, 99, 163, 227)(29, 93, 157, 221, 38, 102, 166, 230, 48, 112, 176, 240, 39, 103, 167, 231)(33, 97, 161, 225, 42, 106, 170, 234, 52, 116, 180, 244, 43, 107, 171, 235)(37, 101, 165, 229, 46, 110, 174, 238, 56, 120, 184, 248, 47, 111, 175, 239)(41, 105, 169, 233, 50, 114, 178, 242, 59, 123, 187, 251, 51, 115, 179, 243)(45, 109, 173, 237, 54, 118, 182, 246, 62, 126, 190, 254, 55, 119, 183, 247)(49, 113, 177, 241, 57, 121, 185, 249, 63, 127, 191, 255, 58, 122, 186, 250)(53, 117, 181, 245, 60, 124, 188, 252, 64, 128, 192, 256, 61, 125, 189, 253)
	L = (1, 66)(2, 65)(3, 73)(4, 74)(5, 75)(6, 77)(7, 78)(8, 79)(9, 67)(10, 68)(11, 69)(12, 80)(13, 70)(14, 71)(15, 72)(16, 76)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 117)(50, 121)(51, 122)(52, 123)(53, 113)(54, 124)(55, 125)(56, 126)(57, 114)(58, 115)(59, 116)(60, 118)(61, 119)(62, 120)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 199)(133, 200)(134, 194)(135, 196)(136, 197)(137, 209)(138, 210)(139, 211)(140, 212)(141, 213)(142, 214)(143, 215)(144, 216)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 233)(178, 234)(179, 235)(180, 236)(181, 237)(182, 238)(183, 239)(184, 240)(185, 252)(186, 253)(187, 255)(188, 249)(189, 250)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1151
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1160 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 872>$ (small group id <128, 872>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y1^4, Y2^2 * Y1^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2^-2 * Y3 * Y1, Y2 * Y3 * Y2^-2 * Y3 * Y2, (Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 19, 83, 147, 211)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 22, 86, 150, 214)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 30, 94, 158, 222)(13, 77, 141, 205, 34, 98, 162, 226)(14, 78, 142, 206, 35, 99, 163, 227)(15, 79, 143, 207, 36, 100, 164, 228)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 38, 102, 166, 230)(21, 85, 149, 213, 40, 104, 168, 232)(23, 87, 151, 215, 44, 108, 172, 236)(24, 88, 152, 216, 45, 109, 173, 237)(25, 89, 153, 217, 46, 110, 174, 238)(26, 90, 154, 218, 47, 111, 175, 239)(27, 91, 155, 219, 48, 112, 176, 240)(29, 93, 157, 221, 50, 114, 178, 242)(31, 95, 159, 223, 54, 118, 182, 246)(32, 96, 160, 224, 55, 119, 183, 247)(33, 97, 161, 225, 56, 120, 184, 248)(39, 103, 167, 231, 58, 122, 186, 250)(41, 105, 169, 233, 62, 126, 190, 254)(42, 106, 170, 234, 63, 127, 191, 255)(43, 107, 171, 235, 64, 128, 192, 256)(49, 113, 177, 241, 61, 125, 189, 253)(51, 115, 179, 243, 60, 124, 188, 252)(52, 116, 180, 244, 57, 121, 185, 249)(53, 117, 181, 245, 59, 123, 187, 251)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 85)(9, 88)(10, 87)(11, 70)(12, 89)(13, 67)(14, 84)(15, 86)(16, 68)(17, 92)(18, 90)(19, 91)(20, 80)(21, 74)(22, 81)(23, 72)(24, 82)(25, 83)(26, 73)(27, 76)(28, 79)(29, 113)(30, 116)(31, 115)(32, 114)(33, 118)(34, 117)(35, 119)(36, 110)(37, 120)(38, 112)(39, 121)(40, 124)(41, 123)(42, 122)(43, 126)(44, 125)(45, 127)(46, 102)(47, 128)(48, 100)(49, 95)(50, 97)(51, 93)(52, 98)(53, 94)(54, 96)(55, 101)(56, 99)(57, 105)(58, 107)(59, 103)(60, 108)(61, 104)(62, 106)(63, 111)(64, 109)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 217)(138, 194)(139, 221)(140, 224)(141, 223)(142, 222)(143, 212)(144, 226)(145, 196)(146, 219)(147, 225)(148, 209)(149, 231)(150, 234)(151, 233)(152, 232)(153, 210)(154, 236)(155, 201)(156, 235)(157, 205)(158, 208)(159, 203)(160, 211)(161, 204)(162, 206)(163, 238)(164, 237)(165, 240)(166, 239)(167, 215)(168, 218)(169, 213)(170, 220)(171, 214)(172, 216)(173, 230)(174, 229)(175, 228)(176, 227)(177, 255)(178, 254)(179, 256)(180, 253)(181, 252)(182, 250)(183, 249)(184, 251)(185, 248)(186, 242)(187, 247)(188, 244)(189, 245)(190, 246)(191, 243)(192, 241)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1152
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1161 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 868>$ (small group id <128, 868>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^2 * Y2^2, Y1 * Y2^-2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 15, 79, 143, 207)(6, 70, 134, 198, 14, 78, 142, 206)(7, 71, 135, 199, 16, 80, 144, 208)(8, 72, 136, 200, 18, 82, 146, 210)(10, 74, 138, 202, 20, 84, 148, 212)(11, 75, 139, 203, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(17, 81, 145, 209, 26, 90, 154, 218)(19, 83, 147, 211, 28, 92, 156, 220)(21, 85, 149, 213, 30, 94, 158, 222)(23, 87, 151, 215, 32, 96, 160, 224)(25, 89, 153, 217, 34, 98, 162, 226)(27, 91, 155, 219, 36, 100, 164, 228)(29, 93, 157, 221, 38, 102, 166, 230)(31, 95, 159, 223, 40, 104, 168, 232)(33, 97, 161, 225, 42, 106, 170, 234)(35, 99, 163, 227, 44, 108, 172, 236)(37, 101, 165, 229, 46, 110, 174, 238)(39, 103, 167, 231, 48, 112, 176, 240)(41, 105, 169, 233, 50, 114, 178, 242)(43, 107, 171, 235, 52, 116, 180, 244)(45, 109, 173, 237, 54, 118, 182, 246)(47, 111, 175, 239, 56, 120, 184, 248)(49, 113, 177, 241, 58, 122, 186, 250)(51, 115, 179, 243, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(55, 119, 183, 247, 62, 126, 190, 254)(57, 121, 185, 249, 63, 127, 191, 255)(59, 123, 187, 251, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 81)(9, 84)(10, 83)(11, 70)(12, 68)(13, 67)(14, 80)(15, 82)(16, 76)(17, 74)(18, 73)(19, 72)(20, 79)(21, 93)(22, 96)(23, 95)(24, 94)(25, 97)(26, 100)(27, 99)(28, 98)(29, 87)(30, 86)(31, 85)(32, 88)(33, 91)(34, 90)(35, 89)(36, 92)(37, 109)(38, 112)(39, 111)(40, 110)(41, 113)(42, 116)(43, 115)(44, 114)(45, 103)(46, 102)(47, 101)(48, 104)(49, 107)(50, 106)(51, 105)(52, 108)(53, 121)(54, 126)(55, 123)(56, 125)(57, 119)(58, 128)(59, 117)(60, 127)(61, 118)(62, 120)(63, 122)(64, 124)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 196)(138, 194)(139, 213)(140, 216)(141, 215)(142, 214)(143, 208)(144, 201)(145, 217)(146, 220)(147, 219)(148, 218)(149, 205)(150, 204)(151, 203)(152, 206)(153, 211)(154, 210)(155, 209)(156, 212)(157, 229)(158, 232)(159, 231)(160, 230)(161, 233)(162, 236)(163, 235)(164, 234)(165, 223)(166, 222)(167, 221)(168, 224)(169, 227)(170, 226)(171, 225)(172, 228)(173, 245)(174, 248)(175, 247)(176, 246)(177, 249)(178, 252)(179, 251)(180, 250)(181, 239)(182, 238)(183, 237)(184, 240)(185, 243)(186, 242)(187, 241)(188, 244)(189, 256)(190, 255)(191, 253)(192, 254)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1153
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1162 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 919>$ (small group id <128, 919>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2 * Y1^-2 * Y2, R * Y2 * R * Y1, Y1^4, (R * Y3)^2, Y2^4, Y1^-2 * Y2^-2, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, (Y1 * Y3 * Y2^-1)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 19, 83, 147, 211)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 22, 86, 150, 214)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 30, 94, 158, 222)(13, 77, 141, 205, 34, 98, 162, 226)(14, 78, 142, 206, 35, 99, 163, 227)(15, 79, 143, 207, 36, 100, 164, 228)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 38, 102, 166, 230)(21, 85, 149, 213, 40, 104, 168, 232)(23, 87, 151, 215, 44, 108, 172, 236)(24, 88, 152, 216, 45, 109, 173, 237)(25, 89, 153, 217, 46, 110, 174, 238)(26, 90, 154, 218, 47, 111, 175, 239)(27, 91, 155, 219, 48, 112, 176, 240)(29, 93, 157, 221, 50, 114, 178, 242)(31, 95, 159, 223, 54, 118, 182, 246)(32, 96, 160, 224, 55, 119, 183, 247)(33, 97, 161, 225, 56, 120, 184, 248)(39, 103, 167, 231, 58, 122, 186, 250)(41, 105, 169, 233, 62, 126, 190, 254)(42, 106, 170, 234, 63, 127, 191, 255)(43, 107, 171, 235, 64, 128, 192, 256)(49, 113, 177, 241, 60, 124, 188, 252)(51, 115, 179, 243, 61, 125, 189, 253)(52, 116, 180, 244, 59, 123, 187, 251)(53, 117, 181, 245, 57, 121, 185, 249)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 85)(9, 88)(10, 87)(11, 70)(12, 89)(13, 67)(14, 84)(15, 86)(16, 68)(17, 92)(18, 90)(19, 91)(20, 80)(21, 74)(22, 81)(23, 72)(24, 82)(25, 83)(26, 73)(27, 76)(28, 79)(29, 113)(30, 116)(31, 115)(32, 114)(33, 118)(34, 117)(35, 119)(36, 110)(37, 120)(38, 112)(39, 121)(40, 124)(41, 123)(42, 122)(43, 126)(44, 125)(45, 127)(46, 102)(47, 128)(48, 100)(49, 95)(50, 97)(51, 93)(52, 98)(53, 94)(54, 96)(55, 101)(56, 99)(57, 105)(58, 107)(59, 103)(60, 108)(61, 104)(62, 106)(63, 111)(64, 109)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 217)(138, 194)(139, 221)(140, 224)(141, 223)(142, 222)(143, 212)(144, 226)(145, 196)(146, 219)(147, 225)(148, 209)(149, 231)(150, 234)(151, 233)(152, 232)(153, 210)(154, 236)(155, 201)(156, 235)(157, 205)(158, 208)(159, 203)(160, 211)(161, 204)(162, 206)(163, 238)(164, 237)(165, 240)(166, 239)(167, 215)(168, 218)(169, 213)(170, 220)(171, 214)(172, 216)(173, 230)(174, 229)(175, 228)(176, 227)(177, 256)(178, 250)(179, 255)(180, 252)(181, 253)(182, 254)(183, 251)(184, 249)(185, 247)(186, 246)(187, 248)(188, 245)(189, 244)(190, 242)(191, 241)(192, 243)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1154
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1163 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^2 * Y2^2, Y2^4, Y1 * Y2^-2 * Y1, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 15, 79, 143, 207)(6, 70, 134, 198, 14, 78, 142, 206)(7, 71, 135, 199, 16, 80, 144, 208)(8, 72, 136, 200, 18, 82, 146, 210)(10, 74, 138, 202, 20, 84, 148, 212)(11, 75, 139, 203, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(17, 81, 145, 209, 26, 90, 154, 218)(19, 83, 147, 211, 28, 92, 156, 220)(21, 85, 149, 213, 30, 94, 158, 222)(23, 87, 151, 215, 32, 96, 160, 224)(25, 89, 153, 217, 34, 98, 162, 226)(27, 91, 155, 219, 36, 100, 164, 228)(29, 93, 157, 221, 38, 102, 166, 230)(31, 95, 159, 223, 40, 104, 168, 232)(33, 97, 161, 225, 42, 106, 170, 234)(35, 99, 163, 227, 44, 108, 172, 236)(37, 101, 165, 229, 46, 110, 174, 238)(39, 103, 167, 231, 48, 112, 176, 240)(41, 105, 169, 233, 50, 114, 178, 242)(43, 107, 171, 235, 52, 116, 180, 244)(45, 109, 173, 237, 54, 118, 182, 246)(47, 111, 175, 239, 56, 120, 184, 248)(49, 113, 177, 241, 58, 122, 186, 250)(51, 115, 179, 243, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(55, 119, 183, 247, 62, 126, 190, 254)(57, 121, 185, 249, 63, 127, 191, 255)(59, 123, 187, 251, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 76)(5, 65)(6, 77)(7, 69)(8, 81)(9, 82)(10, 83)(11, 70)(12, 80)(13, 67)(14, 68)(15, 84)(16, 78)(17, 74)(18, 79)(19, 72)(20, 73)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 87)(30, 88)(31, 85)(32, 86)(33, 91)(34, 92)(35, 89)(36, 90)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 103)(46, 104)(47, 101)(48, 102)(49, 107)(50, 108)(51, 105)(52, 106)(53, 121)(54, 125)(55, 123)(56, 126)(57, 119)(58, 127)(59, 117)(60, 128)(61, 120)(62, 118)(63, 124)(64, 122)(129, 195)(130, 200)(131, 199)(132, 201)(133, 202)(134, 193)(135, 198)(136, 197)(137, 208)(138, 194)(139, 213)(140, 214)(141, 215)(142, 216)(143, 196)(144, 207)(145, 217)(146, 218)(147, 219)(148, 220)(149, 205)(150, 206)(151, 203)(152, 204)(153, 211)(154, 212)(155, 209)(156, 210)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 223)(166, 224)(167, 221)(168, 222)(169, 227)(170, 228)(171, 225)(172, 226)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 239)(182, 240)(183, 237)(184, 238)(185, 243)(186, 244)(187, 241)(188, 242)(189, 255)(190, 256)(191, 254)(192, 253)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1155
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1164 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 15, 79)(11, 75, 20, 84)(12, 76, 23, 87)(16, 80, 25, 89)(17, 81, 28, 92)(19, 83, 29, 93)(21, 85, 32, 96)(22, 86, 27, 91)(24, 88, 33, 97)(26, 90, 36, 100)(30, 94, 38, 102)(31, 95, 40, 104)(34, 98, 42, 106)(35, 99, 44, 108)(37, 101, 45, 109)(39, 103, 48, 112)(41, 105, 49, 113)(43, 107, 52, 116)(46, 110, 54, 118)(47, 111, 56, 120)(50, 114, 58, 122)(51, 115, 60, 124)(53, 117, 61, 125)(55, 119, 64, 128)(57, 121, 63, 127)(59, 123, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 155, 219, 145, 209)(137, 201, 147, 211, 141, 205, 149, 213)(142, 206, 152, 216, 146, 210, 154, 218)(148, 212, 158, 222, 151, 215, 159, 223)(153, 217, 162, 226, 156, 220, 163, 227)(157, 221, 165, 229, 160, 224, 167, 231)(161, 225, 169, 233, 164, 228, 171, 235)(166, 230, 174, 238, 168, 232, 175, 239)(170, 234, 178, 242, 172, 236, 179, 243)(173, 237, 181, 245, 176, 240, 183, 247)(177, 241, 185, 249, 180, 244, 187, 251)(182, 246, 190, 254, 184, 248, 191, 255)(186, 250, 192, 256, 188, 252, 189, 253)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 150)(11, 131)(12, 133)(13, 151)(14, 153)(15, 155)(16, 134)(17, 136)(18, 156)(19, 158)(20, 137)(21, 159)(22, 138)(23, 141)(24, 162)(25, 142)(26, 163)(27, 143)(28, 146)(29, 166)(30, 147)(31, 149)(32, 168)(33, 170)(34, 152)(35, 154)(36, 172)(37, 174)(38, 157)(39, 175)(40, 160)(41, 178)(42, 161)(43, 179)(44, 164)(45, 182)(46, 165)(47, 167)(48, 184)(49, 186)(50, 169)(51, 171)(52, 188)(53, 190)(54, 173)(55, 191)(56, 176)(57, 192)(58, 177)(59, 189)(60, 180)(61, 187)(62, 181)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1165 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2, Y2^2 * Y3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 10, 74)(6, 70, 11, 75)(8, 72, 12, 76)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 132, 196, 133, 197)(130, 194, 134, 198, 135, 199, 136, 200)(137, 201, 141, 205, 138, 202, 142, 206)(139, 203, 143, 207, 140, 204, 144, 208)(145, 209, 149, 213, 146, 210, 150, 214)(147, 211, 151, 215, 148, 212, 152, 216)(153, 217, 157, 221, 154, 218, 158, 222)(155, 219, 159, 223, 156, 220, 160, 224)(161, 225, 165, 229, 162, 226, 166, 230)(163, 227, 167, 231, 164, 228, 168, 232)(169, 233, 173, 237, 170, 234, 174, 238)(171, 235, 175, 239, 172, 236, 176, 240)(177, 241, 181, 245, 178, 242, 182, 246)(179, 243, 183, 247, 180, 244, 184, 248)(185, 249, 189, 253, 186, 250, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 133)(4, 129)(5, 131)(6, 136)(7, 130)(8, 134)(9, 138)(10, 137)(11, 140)(12, 139)(13, 142)(14, 141)(15, 144)(16, 143)(17, 146)(18, 145)(19, 148)(20, 147)(21, 150)(22, 149)(23, 152)(24, 151)(25, 154)(26, 153)(27, 156)(28, 155)(29, 158)(30, 157)(31, 160)(32, 159)(33, 162)(34, 161)(35, 164)(36, 163)(37, 166)(38, 165)(39, 168)(40, 167)(41, 170)(42, 169)(43, 172)(44, 171)(45, 174)(46, 173)(47, 176)(48, 175)(49, 178)(50, 177)(51, 180)(52, 179)(53, 182)(54, 181)(55, 184)(56, 183)(57, 186)(58, 185)(59, 188)(60, 187)(61, 190)(62, 189)(63, 192)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 15, 79)(11, 75, 20, 84)(12, 76, 23, 87)(16, 80, 25, 89)(17, 81, 28, 92)(19, 83, 29, 93)(21, 85, 32, 96)(22, 86, 27, 91)(24, 88, 33, 97)(26, 90, 36, 100)(30, 94, 38, 102)(31, 95, 40, 104)(34, 98, 42, 106)(35, 99, 44, 108)(37, 101, 45, 109)(39, 103, 48, 112)(41, 105, 49, 113)(43, 107, 52, 116)(46, 110, 54, 118)(47, 111, 56, 120)(50, 114, 58, 122)(51, 115, 60, 124)(53, 117, 61, 125)(55, 119, 64, 128)(57, 121, 62, 126)(59, 123, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 155, 219, 145, 209)(137, 201, 147, 211, 141, 205, 149, 213)(142, 206, 152, 216, 146, 210, 154, 218)(148, 212, 158, 222, 151, 215, 159, 223)(153, 217, 162, 226, 156, 220, 163, 227)(157, 221, 165, 229, 160, 224, 167, 231)(161, 225, 169, 233, 164, 228, 171, 235)(166, 230, 174, 238, 168, 232, 175, 239)(170, 234, 178, 242, 172, 236, 179, 243)(173, 237, 181, 245, 176, 240, 183, 247)(177, 241, 185, 249, 180, 244, 187, 251)(182, 246, 190, 254, 184, 248, 191, 255)(186, 250, 189, 253, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 150)(11, 131)(12, 133)(13, 151)(14, 153)(15, 155)(16, 134)(17, 136)(18, 156)(19, 158)(20, 137)(21, 159)(22, 138)(23, 141)(24, 162)(25, 142)(26, 163)(27, 143)(28, 146)(29, 166)(30, 147)(31, 149)(32, 168)(33, 170)(34, 152)(35, 154)(36, 172)(37, 174)(38, 157)(39, 175)(40, 160)(41, 178)(42, 161)(43, 179)(44, 164)(45, 182)(46, 165)(47, 167)(48, 184)(49, 186)(50, 169)(51, 171)(52, 188)(53, 190)(54, 173)(55, 191)(56, 176)(57, 189)(58, 177)(59, 192)(60, 180)(61, 185)(62, 181)(63, 183)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 38>)
Aut   = $<128, 916>$ (small group id <128, 916>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 11, 75)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 136, 200, 132, 196)(130, 194, 133, 197, 139, 203, 134, 198)(135, 199, 141, 205, 137, 201, 142, 206)(138, 202, 143, 207, 140, 204, 144, 208)(145, 209, 149, 213, 146, 210, 150, 214)(147, 211, 151, 215, 148, 212, 152, 216)(153, 217, 157, 221, 154, 218, 158, 222)(155, 219, 159, 223, 156, 220, 160, 224)(161, 225, 165, 229, 162, 226, 166, 230)(163, 227, 167, 231, 164, 228, 168, 232)(169, 233, 173, 237, 170, 234, 174, 238)(171, 235, 175, 239, 172, 236, 176, 240)(177, 241, 181, 245, 178, 242, 182, 246)(179, 243, 183, 247, 180, 244, 184, 248)(185, 249, 189, 253, 186, 250, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1168 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y3 * Y1 * Y2, (R * Y1)^2, Y1^4, Y1 * Y3 * Y1 * Y2 * Y1^2, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-2, Y1^-1 * Y2 * Y3 * Y1^2 * Y3 * Y2 * Y1^-1, Y2 * Y3 * Y1^2 * Y3 * Y2 * Y1^-2, (Y2 * Y1 * Y3 * Y1^-1)^2, Y1^-1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 85, 21, 75, 11, 67)(4, 71, 7, 81, 17, 77, 13, 68)(8, 79, 15, 97, 33, 84, 20, 72)(10, 86, 22, 98, 34, 89, 25, 74)(12, 91, 27, 99, 35, 93, 29, 76)(14, 95, 31, 100, 36, 80, 16, 78)(18, 101, 37, 96, 32, 104, 40, 82)(19, 105, 41, 90, 26, 107, 43, 83)(23, 102, 38, 94, 30, 108, 44, 87)(24, 106, 42, 122, 58, 111, 47, 88)(28, 113, 49, 119, 55, 115, 51, 92)(39, 118, 54, 116, 52, 121, 57, 103)(45, 117, 53, 112, 48, 124, 60, 109)(46, 123, 59, 127, 63, 125, 61, 110)(50, 120, 56, 128, 64, 126, 62, 114)
	L = (1, 3)(2, 7)(4, 12)(5, 14)(6, 15)(8, 19)(9, 22)(10, 24)(11, 26)(13, 30)(16, 35)(17, 37)(18, 39)(20, 44)(21, 38)(23, 36)(25, 33)(27, 49)(28, 50)(29, 52)(31, 40)(32, 51)(34, 53)(41, 58)(42, 59)(43, 60)(45, 56)(46, 57)(47, 62)(48, 61)(54, 64)(55, 63)(65, 68)(66, 72)(67, 74)(69, 75)(70, 80)(71, 82)(73, 87)(76, 92)(77, 93)(78, 96)(79, 98)(81, 102)(83, 106)(84, 107)(85, 105)(86, 109)(88, 110)(89, 111)(90, 112)(91, 100)(94, 97)(95, 108)(99, 118)(101, 119)(103, 120)(104, 121)(113, 123)(114, 124)(115, 126)(116, 125)(117, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1169 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, Y1 * Y3 * Y1^-1 * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y1^-2 * Y3 * Y1, Y2 * Y1^-1 * Y3 * Y2 * Y1^2 * Y2 * Y1^-1, Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 72, 8, 83, 19, 74, 10, 67)(4, 75, 11, 89, 25, 77, 13, 68)(7, 80, 16, 99, 35, 82, 18, 71)(9, 85, 21, 97, 33, 87, 23, 73)(12, 91, 27, 100, 36, 93, 29, 76)(14, 95, 31, 98, 34, 79, 15, 78)(17, 101, 37, 94, 30, 103, 39, 81)(20, 106, 42, 96, 32, 108, 44, 84)(22, 109, 45, 122, 58, 111, 47, 86)(24, 104, 40, 90, 26, 105, 41, 88)(28, 102, 38, 119, 55, 115, 51, 92)(43, 117, 53, 112, 48, 124, 60, 107)(46, 123, 59, 127, 63, 125, 61, 110)(49, 118, 54, 116, 52, 121, 57, 113)(50, 120, 56, 128, 64, 126, 62, 114)
	L = (1, 3)(2, 7)(4, 12)(5, 13)(6, 15)(8, 20)(9, 22)(10, 23)(11, 26)(14, 32)(16, 36)(17, 38)(18, 39)(19, 41)(21, 34)(24, 35)(25, 37)(27, 49)(28, 50)(29, 51)(30, 52)(31, 40)(33, 53)(42, 58)(43, 59)(44, 60)(45, 56)(46, 57)(47, 61)(48, 62)(54, 64)(55, 63)(65, 68)(66, 72)(67, 73)(69, 78)(70, 80)(71, 81)(74, 88)(75, 91)(76, 92)(77, 94)(79, 97)(82, 104)(83, 106)(84, 107)(85, 109)(86, 110)(87, 112)(89, 105)(90, 98)(93, 99)(95, 108)(96, 111)(100, 118)(101, 119)(102, 120)(103, 121)(113, 123)(114, 124)(115, 125)(116, 126)(117, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1170 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-1 * Y1 * Y3, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y3^2 * Y2 * Y1 * Y3^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(3, 67, 10, 74, 25, 89, 11, 75)(6, 70, 16, 80, 37, 101, 17, 81)(9, 73, 22, 86, 49, 113, 23, 87)(12, 76, 28, 92, 43, 107, 29, 93)(14, 78, 32, 96, 36, 100, 30, 94)(15, 79, 34, 98, 57, 121, 35, 99)(18, 82, 40, 104, 31, 95, 41, 105)(20, 84, 44, 108, 24, 88, 42, 106)(21, 85, 46, 110, 61, 125, 47, 111)(26, 90, 52, 116, 27, 91, 50, 114)(33, 97, 54, 118, 63, 127, 55, 119)(38, 102, 60, 124, 39, 103, 58, 122)(45, 109, 56, 120, 64, 128, 59, 123)(48, 112, 62, 126, 51, 115, 53, 117)(129, 130)(131, 137)(132, 140)(133, 139)(134, 143)(135, 146)(136, 145)(138, 152)(141, 158)(142, 159)(144, 164)(147, 170)(148, 171)(149, 173)(150, 176)(151, 175)(153, 178)(154, 179)(155, 174)(156, 177)(157, 180)(160, 172)(161, 181)(162, 184)(163, 183)(165, 186)(166, 187)(167, 182)(168, 185)(169, 188)(189, 191)(190, 192)(193, 195)(194, 198)(196, 199)(197, 206)(200, 212)(201, 213)(202, 214)(203, 218)(204, 219)(205, 220)(207, 225)(208, 226)(209, 230)(210, 231)(211, 232)(215, 235)(216, 228)(217, 234)(221, 236)(222, 229)(223, 227)(224, 233)(237, 252)(238, 248)(239, 247)(240, 246)(241, 254)(242, 253)(243, 251)(244, 245)(249, 256)(250, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1174
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1171 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^3 * Y2 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 19, 83, 8, 72)(3, 67, 10, 74, 25, 89, 11, 75)(6, 70, 16, 80, 37, 101, 17, 81)(9, 73, 22, 86, 48, 112, 23, 87)(12, 76, 28, 92, 38, 102, 29, 93)(14, 78, 32, 96, 39, 103, 30, 94)(15, 79, 34, 98, 56, 120, 35, 99)(18, 82, 40, 104, 26, 90, 41, 105)(20, 84, 44, 108, 27, 91, 42, 106)(21, 85, 46, 110, 61, 125, 47, 111)(24, 88, 51, 115, 31, 95, 52, 116)(33, 97, 54, 118, 63, 127, 55, 119)(36, 100, 59, 123, 43, 107, 60, 124)(45, 109, 58, 122, 64, 128, 57, 121)(49, 113, 53, 117, 50, 114, 62, 126)(129, 130)(131, 137)(132, 138)(133, 142)(134, 143)(135, 144)(136, 148)(139, 154)(140, 155)(141, 156)(145, 166)(146, 167)(147, 168)(149, 173)(150, 174)(151, 177)(152, 178)(153, 179)(157, 169)(158, 176)(159, 175)(160, 180)(161, 181)(162, 182)(163, 185)(164, 186)(165, 187)(170, 184)(171, 183)(172, 188)(189, 191)(190, 192)(193, 195)(194, 198)(196, 204)(197, 200)(199, 210)(201, 213)(202, 216)(203, 215)(205, 222)(206, 223)(207, 225)(208, 228)(209, 227)(211, 234)(212, 235)(214, 231)(217, 232)(218, 230)(219, 226)(220, 229)(221, 236)(224, 233)(237, 252)(238, 246)(239, 249)(240, 254)(241, 247)(242, 250)(243, 253)(244, 245)(248, 256)(251, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1175
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1172 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 876>$ (small group id <128, 876>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 16, 80)(6, 70, 15, 79)(7, 71, 22, 86)(8, 72, 26, 90)(10, 74, 28, 92)(11, 75, 32, 96)(12, 76, 34, 98)(14, 78, 36, 100)(17, 81, 42, 106)(18, 82, 41, 105)(19, 83, 40, 104)(20, 84, 39, 103)(21, 85, 44, 108)(23, 87, 45, 109)(24, 88, 47, 111)(25, 89, 49, 113)(27, 91, 50, 114)(29, 93, 54, 118)(30, 94, 53, 117)(31, 95, 55, 119)(33, 97, 56, 120)(35, 99, 57, 121)(37, 101, 59, 123)(38, 102, 58, 122)(43, 107, 60, 124)(46, 110, 61, 125)(48, 112, 62, 126)(51, 115, 64, 128)(52, 116, 63, 127)(129, 130, 135, 133)(131, 139, 149, 142)(132, 143, 162, 141)(134, 147, 151, 148)(136, 152, 145, 155)(137, 156, 177, 154)(138, 157, 146, 158)(140, 153, 171, 163)(144, 169, 185, 170)(150, 173, 188, 172)(159, 180, 165, 176)(160, 184, 168, 183)(161, 179, 166, 174)(164, 186, 167, 187)(175, 190, 182, 189)(178, 191, 181, 192)(193, 195, 204, 198)(194, 200, 217, 202)(196, 208, 214, 201)(197, 209, 227, 210)(199, 213, 235, 215)(203, 223, 211, 225)(205, 228, 236, 224)(206, 229, 212, 230)(207, 231, 237, 232)(216, 238, 221, 240)(218, 242, 234, 239)(219, 243, 222, 244)(220, 245, 233, 246)(226, 249, 252, 241)(247, 254, 251, 255)(248, 253, 250, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1176
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1173 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 877>$ (small group id <128, 877>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1^2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y3 * Y2^-2 * Y3 * Y1^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 20, 84)(6, 70, 23, 87)(7, 71, 26, 90)(8, 72, 30, 94)(10, 74, 37, 101)(11, 75, 40, 104)(12, 76, 35, 99)(14, 78, 46, 110)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 27, 91)(18, 82, 42, 106)(19, 83, 32, 96)(21, 85, 34, 98)(22, 86, 43, 107)(24, 88, 44, 108)(28, 92, 50, 114)(31, 95, 55, 119)(33, 97, 48, 112)(36, 100, 52, 116)(38, 102, 53, 117)(39, 103, 57, 121)(41, 105, 60, 124)(45, 109, 58, 122)(47, 111, 59, 123)(49, 113, 61, 125)(51, 115, 64, 128)(54, 118, 62, 126)(56, 120, 63, 127)(129, 130, 135, 133)(131, 139, 153, 142)(132, 143, 163, 145)(134, 150, 155, 152)(136, 156, 147, 159)(137, 160, 144, 162)(138, 164, 149, 166)(140, 157, 176, 170)(141, 161, 151, 154)(146, 165, 148, 158)(167, 184, 173, 179)(168, 186, 171, 187)(169, 182, 175, 177)(172, 188, 174, 185)(178, 190, 180, 191)(181, 192, 183, 189)(193, 195, 204, 198)(194, 200, 221, 202)(196, 208, 218, 210)(197, 211, 234, 213)(199, 217, 240, 219)(201, 225, 212, 227)(203, 231, 214, 233)(205, 235, 207, 236)(206, 237, 216, 239)(209, 238, 215, 232)(220, 241, 228, 243)(222, 244, 224, 245)(223, 246, 230, 248)(226, 247, 229, 242)(249, 254, 250, 253)(251, 256, 252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1177
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1174 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y3^-1 * Y1 * Y3, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3, Y3^2 * Y2 * Y1 * Y3^-2 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 19, 83, 147, 211, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 25, 89, 153, 217, 11, 75, 139, 203)(6, 70, 134, 198, 16, 80, 144, 208, 37, 101, 165, 229, 17, 81, 145, 209)(9, 73, 137, 201, 22, 86, 150, 214, 49, 113, 177, 241, 23, 87, 151, 215)(12, 76, 140, 204, 28, 92, 156, 220, 43, 107, 171, 235, 29, 93, 157, 221)(14, 78, 142, 206, 32, 96, 160, 224, 36, 100, 164, 228, 30, 94, 158, 222)(15, 79, 143, 207, 34, 98, 162, 226, 57, 121, 185, 249, 35, 99, 163, 227)(18, 82, 146, 210, 40, 104, 168, 232, 31, 95, 159, 223, 41, 105, 169, 233)(20, 84, 148, 212, 44, 108, 172, 236, 24, 88, 152, 216, 42, 106, 170, 234)(21, 85, 149, 213, 46, 110, 174, 238, 61, 125, 189, 253, 47, 111, 175, 239)(26, 90, 154, 218, 52, 116, 180, 244, 27, 91, 155, 219, 50, 114, 178, 242)(33, 97, 161, 225, 54, 118, 182, 246, 63, 127, 191, 255, 55, 119, 183, 247)(38, 102, 166, 230, 60, 124, 188, 252, 39, 103, 167, 231, 58, 122, 186, 250)(45, 109, 173, 237, 56, 120, 184, 248, 64, 128, 192, 256, 59, 123, 187, 251)(48, 112, 176, 240, 62, 126, 190, 254, 51, 115, 179, 243, 53, 117, 181, 245)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 75)(6, 79)(7, 82)(8, 81)(9, 67)(10, 88)(11, 69)(12, 68)(13, 94)(14, 95)(15, 70)(16, 100)(17, 72)(18, 71)(19, 106)(20, 107)(21, 109)(22, 112)(23, 111)(24, 74)(25, 114)(26, 115)(27, 110)(28, 113)(29, 116)(30, 77)(31, 78)(32, 108)(33, 117)(34, 120)(35, 119)(36, 80)(37, 122)(38, 123)(39, 118)(40, 121)(41, 124)(42, 83)(43, 84)(44, 96)(45, 85)(46, 91)(47, 87)(48, 86)(49, 92)(50, 89)(51, 90)(52, 93)(53, 97)(54, 103)(55, 99)(56, 98)(57, 104)(58, 101)(59, 102)(60, 105)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 199)(133, 206)(134, 194)(135, 196)(136, 212)(137, 213)(138, 214)(139, 218)(140, 219)(141, 220)(142, 197)(143, 225)(144, 226)(145, 230)(146, 231)(147, 232)(148, 200)(149, 201)(150, 202)(151, 235)(152, 228)(153, 234)(154, 203)(155, 204)(156, 205)(157, 236)(158, 229)(159, 227)(160, 233)(161, 207)(162, 208)(163, 223)(164, 216)(165, 222)(166, 209)(167, 210)(168, 211)(169, 224)(170, 217)(171, 215)(172, 221)(173, 252)(174, 248)(175, 247)(176, 246)(177, 254)(178, 253)(179, 251)(180, 245)(181, 244)(182, 240)(183, 239)(184, 238)(185, 256)(186, 255)(187, 243)(188, 237)(189, 242)(190, 241)(191, 250)(192, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1170
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1175 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y1 * Y3^-1 * Y2 * Y3, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y3^3 * Y2 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 19, 83, 147, 211, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 25, 89, 153, 217, 11, 75, 139, 203)(6, 70, 134, 198, 16, 80, 144, 208, 37, 101, 165, 229, 17, 81, 145, 209)(9, 73, 137, 201, 22, 86, 150, 214, 48, 112, 176, 240, 23, 87, 151, 215)(12, 76, 140, 204, 28, 92, 156, 220, 38, 102, 166, 230, 29, 93, 157, 221)(14, 78, 142, 206, 32, 96, 160, 224, 39, 103, 167, 231, 30, 94, 158, 222)(15, 79, 143, 207, 34, 98, 162, 226, 56, 120, 184, 248, 35, 99, 163, 227)(18, 82, 146, 210, 40, 104, 168, 232, 26, 90, 154, 218, 41, 105, 169, 233)(20, 84, 148, 212, 44, 108, 172, 236, 27, 91, 155, 219, 42, 106, 170, 234)(21, 85, 149, 213, 46, 110, 174, 238, 61, 125, 189, 253, 47, 111, 175, 239)(24, 88, 152, 216, 51, 115, 179, 243, 31, 95, 159, 223, 52, 116, 180, 244)(33, 97, 161, 225, 54, 118, 182, 246, 63, 127, 191, 255, 55, 119, 183, 247)(36, 100, 164, 228, 59, 123, 187, 251, 43, 107, 171, 235, 60, 124, 188, 252)(45, 109, 173, 237, 58, 122, 186, 250, 64, 128, 192, 256, 57, 121, 185, 249)(49, 113, 177, 241, 53, 117, 181, 245, 50, 114, 178, 242, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 74)(5, 78)(6, 79)(7, 80)(8, 84)(9, 67)(10, 68)(11, 90)(12, 91)(13, 92)(14, 69)(15, 70)(16, 71)(17, 102)(18, 103)(19, 104)(20, 72)(21, 109)(22, 110)(23, 113)(24, 114)(25, 115)(26, 75)(27, 76)(28, 77)(29, 105)(30, 112)(31, 111)(32, 116)(33, 117)(34, 118)(35, 121)(36, 122)(37, 123)(38, 81)(39, 82)(40, 83)(41, 93)(42, 120)(43, 119)(44, 124)(45, 85)(46, 86)(47, 95)(48, 94)(49, 87)(50, 88)(51, 89)(52, 96)(53, 97)(54, 98)(55, 107)(56, 106)(57, 99)(58, 100)(59, 101)(60, 108)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 204)(133, 200)(134, 194)(135, 210)(136, 197)(137, 213)(138, 216)(139, 215)(140, 196)(141, 222)(142, 223)(143, 225)(144, 228)(145, 227)(146, 199)(147, 234)(148, 235)(149, 201)(150, 231)(151, 203)(152, 202)(153, 232)(154, 230)(155, 226)(156, 229)(157, 236)(158, 205)(159, 206)(160, 233)(161, 207)(162, 219)(163, 209)(164, 208)(165, 220)(166, 218)(167, 214)(168, 217)(169, 224)(170, 211)(171, 212)(172, 221)(173, 252)(174, 246)(175, 249)(176, 254)(177, 247)(178, 250)(179, 253)(180, 245)(181, 244)(182, 238)(183, 241)(184, 256)(185, 239)(186, 242)(187, 255)(188, 237)(189, 243)(190, 240)(191, 251)(192, 248)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1171
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1176 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 876>$ (small group id <128, 876>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, (R * Y3)^2, R * Y2 * R * Y1, Y3 * Y2^-1 * Y3 * Y1^-1, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 16, 80, 144, 208)(6, 70, 134, 198, 15, 79, 143, 207)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 26, 90, 154, 218)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 32, 96, 160, 224)(12, 76, 140, 204, 34, 98, 162, 226)(14, 78, 142, 206, 36, 100, 164, 228)(17, 81, 145, 209, 42, 106, 170, 234)(18, 82, 146, 210, 41, 105, 169, 233)(19, 83, 147, 211, 40, 104, 168, 232)(20, 84, 148, 212, 39, 103, 167, 231)(21, 85, 149, 213, 44, 108, 172, 236)(23, 87, 151, 215, 45, 109, 173, 237)(24, 88, 152, 216, 47, 111, 175, 239)(25, 89, 153, 217, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(29, 93, 157, 221, 54, 118, 182, 246)(30, 94, 158, 222, 53, 117, 181, 245)(31, 95, 159, 223, 55, 119, 183, 247)(33, 97, 161, 225, 56, 120, 184, 248)(35, 99, 163, 227, 57, 121, 185, 249)(37, 101, 165, 229, 59, 123, 187, 251)(38, 102, 166, 230, 58, 122, 186, 250)(43, 107, 171, 235, 60, 124, 188, 252)(46, 110, 174, 238, 61, 125, 189, 253)(48, 112, 176, 240, 62, 126, 190, 254)(51, 115, 179, 243, 64, 128, 192, 256)(52, 116, 180, 244, 63, 127, 191, 255)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 83)(7, 69)(8, 88)(9, 92)(10, 93)(11, 85)(12, 89)(13, 68)(14, 67)(15, 98)(16, 105)(17, 91)(18, 94)(19, 87)(20, 70)(21, 78)(22, 109)(23, 84)(24, 81)(25, 107)(26, 73)(27, 72)(28, 113)(29, 82)(30, 74)(31, 116)(32, 120)(33, 115)(34, 77)(35, 76)(36, 122)(37, 112)(38, 110)(39, 123)(40, 119)(41, 121)(42, 80)(43, 99)(44, 86)(45, 124)(46, 97)(47, 126)(48, 95)(49, 90)(50, 127)(51, 102)(52, 101)(53, 128)(54, 125)(55, 96)(56, 104)(57, 106)(58, 103)(59, 100)(60, 108)(61, 111)(62, 118)(63, 117)(64, 114)(129, 195)(130, 200)(131, 204)(132, 208)(133, 209)(134, 193)(135, 213)(136, 217)(137, 196)(138, 194)(139, 223)(140, 198)(141, 228)(142, 229)(143, 231)(144, 214)(145, 227)(146, 197)(147, 225)(148, 230)(149, 235)(150, 201)(151, 199)(152, 238)(153, 202)(154, 242)(155, 243)(156, 245)(157, 240)(158, 244)(159, 211)(160, 205)(161, 203)(162, 249)(163, 210)(164, 236)(165, 212)(166, 206)(167, 237)(168, 207)(169, 246)(170, 239)(171, 215)(172, 224)(173, 232)(174, 221)(175, 218)(176, 216)(177, 226)(178, 234)(179, 222)(180, 219)(181, 233)(182, 220)(183, 254)(184, 253)(185, 252)(186, 256)(187, 255)(188, 241)(189, 250)(190, 251)(191, 247)(192, 248)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1172
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1177 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 877>$ (small group id <128, 877>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, R * Y2 * R * Y1, (R * Y3)^2, Y1^4, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3 * Y2^-1 * Y1^2 * Y3 * Y1, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y3 * Y2^-2 * Y3 * Y1^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1, (Y2^-1 * Y3 * Y1^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 20, 84, 148, 212)(6, 70, 134, 198, 23, 87, 151, 215)(7, 71, 135, 199, 26, 90, 154, 218)(8, 72, 136, 200, 30, 94, 158, 222)(10, 74, 138, 202, 37, 101, 165, 229)(11, 75, 139, 203, 40, 104, 168, 232)(12, 76, 140, 204, 35, 99, 163, 227)(14, 78, 142, 206, 46, 110, 174, 238)(15, 79, 143, 207, 25, 89, 153, 217)(16, 80, 144, 208, 29, 93, 157, 221)(17, 81, 145, 209, 27, 91, 155, 219)(18, 82, 146, 210, 42, 106, 170, 234)(19, 83, 147, 211, 32, 96, 160, 224)(21, 85, 149, 213, 34, 98, 162, 226)(22, 86, 150, 214, 43, 107, 171, 235)(24, 88, 152, 216, 44, 108, 172, 236)(28, 92, 156, 220, 50, 114, 178, 242)(31, 95, 159, 223, 55, 119, 183, 247)(33, 97, 161, 225, 48, 112, 176, 240)(36, 100, 164, 228, 52, 116, 180, 244)(38, 102, 166, 230, 53, 117, 181, 245)(39, 103, 167, 231, 57, 121, 185, 249)(41, 105, 169, 233, 60, 124, 188, 252)(45, 109, 173, 237, 58, 122, 186, 250)(47, 111, 175, 239, 59, 123, 187, 251)(49, 113, 177, 241, 61, 125, 189, 253)(51, 115, 179, 243, 64, 128, 192, 256)(54, 118, 182, 246, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255)
	L = (1, 66)(2, 71)(3, 75)(4, 79)(5, 65)(6, 86)(7, 69)(8, 92)(9, 96)(10, 100)(11, 89)(12, 93)(13, 97)(14, 67)(15, 99)(16, 98)(17, 68)(18, 101)(19, 95)(20, 94)(21, 102)(22, 91)(23, 90)(24, 70)(25, 78)(26, 77)(27, 88)(28, 83)(29, 112)(30, 82)(31, 72)(32, 80)(33, 87)(34, 73)(35, 81)(36, 85)(37, 84)(38, 74)(39, 120)(40, 122)(41, 118)(42, 76)(43, 123)(44, 124)(45, 115)(46, 121)(47, 113)(48, 106)(49, 105)(50, 126)(51, 103)(52, 127)(53, 128)(54, 111)(55, 125)(56, 109)(57, 108)(58, 107)(59, 104)(60, 110)(61, 117)(62, 116)(63, 114)(64, 119)(129, 195)(130, 200)(131, 204)(132, 208)(133, 211)(134, 193)(135, 217)(136, 221)(137, 225)(138, 194)(139, 231)(140, 198)(141, 235)(142, 237)(143, 236)(144, 218)(145, 238)(146, 196)(147, 234)(148, 227)(149, 197)(150, 233)(151, 232)(152, 239)(153, 240)(154, 210)(155, 199)(156, 241)(157, 202)(158, 244)(159, 246)(160, 245)(161, 212)(162, 247)(163, 201)(164, 243)(165, 242)(166, 248)(167, 214)(168, 209)(169, 203)(170, 213)(171, 207)(172, 205)(173, 216)(174, 215)(175, 206)(176, 219)(177, 228)(178, 226)(179, 220)(180, 224)(181, 222)(182, 230)(183, 229)(184, 223)(185, 254)(186, 253)(187, 256)(188, 255)(189, 249)(190, 250)(191, 251)(192, 252)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1173
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1178 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
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, 64, 128)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 61, 125)(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, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1179 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 : C2) : C2 (small group id <64, 41>)
Aut   = $<128, 922>$ (small group id <128, 922>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y3)^2, Y3 * Y2 * Y3 * Y2^-1, (Y3 * Y1)^2, (R * Y2)^2, Y2^4, (R * Y1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y3, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 23, 87)(16, 80, 28, 92)(17, 81, 30, 94)(19, 83, 33, 97)(21, 85, 34, 98)(25, 89, 35, 99)(26, 90, 36, 100)(27, 91, 37, 101)(29, 93, 38, 102)(31, 95, 39, 103)(32, 96, 40, 104)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(57, 121, 64, 128)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 61, 125)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 150, 214, 145, 209)(137, 201, 147, 211, 152, 216, 149, 213)(141, 205, 153, 217, 148, 212, 154, 218)(142, 206, 155, 219, 158, 222, 157, 221)(146, 210, 159, 223, 156, 220, 160, 224)(161, 225, 169, 233, 163, 227, 170, 234)(162, 226, 171, 235, 164, 228, 172, 236)(165, 229, 173, 237, 167, 231, 174, 238)(166, 230, 175, 239, 168, 232, 176, 240)(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, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 150)(16, 134)(17, 136)(18, 158)(19, 154)(20, 137)(21, 153)(22, 143)(23, 138)(24, 141)(25, 149)(26, 147)(27, 160)(28, 142)(29, 159)(30, 146)(31, 157)(32, 155)(33, 164)(34, 163)(35, 162)(36, 161)(37, 168)(38, 167)(39, 166)(40, 165)(41, 172)(42, 171)(43, 170)(44, 169)(45, 176)(46, 175)(47, 174)(48, 173)(49, 180)(50, 179)(51, 178)(52, 177)(53, 184)(54, 183)(55, 182)(56, 181)(57, 188)(58, 187)(59, 186)(60, 185)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1180 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y1^-1 * Y2 * Y1 * Y3, (R * Y1)^2, Y1^-1 * Y3 * Y1 * Y2, Y1^4, Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map::
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 72, 8, 77, 13, 74, 10, 67)(4, 71, 7, 78, 14, 76, 12, 68)(9, 80, 16, 85, 21, 82, 18, 73)(11, 79, 15, 86, 22, 84, 20, 75)(17, 88, 24, 93, 29, 90, 26, 81)(19, 87, 23, 94, 30, 92, 28, 83)(25, 96, 32, 101, 37, 98, 34, 89)(27, 95, 31, 102, 38, 100, 36, 91)(33, 104, 40, 109, 45, 106, 42, 97)(35, 103, 39, 110, 46, 108, 44, 99)(41, 112, 48, 117, 53, 114, 50, 105)(43, 111, 47, 118, 54, 116, 52, 107)(49, 120, 56, 125, 61, 122, 58, 113)(51, 119, 55, 126, 62, 124, 60, 115)(57, 128, 64, 123, 59, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 11)(5, 12)(6, 13)(8, 16)(9, 17)(10, 18)(14, 22)(15, 23)(19, 27)(20, 28)(21, 29)(24, 32)(25, 33)(26, 34)(30, 38)(31, 39)(35, 43)(36, 44)(37, 45)(40, 48)(41, 49)(42, 50)(46, 54)(47, 55)(51, 59)(52, 60)(53, 61)(56, 64)(57, 62)(58, 63)(65, 68)(66, 72)(67, 73)(69, 74)(70, 78)(71, 79)(75, 83)(76, 84)(77, 85)(80, 88)(81, 89)(82, 90)(86, 94)(87, 95)(91, 99)(92, 100)(93, 101)(96, 104)(97, 105)(98, 106)(102, 110)(103, 111)(107, 115)(108, 116)(109, 117)(112, 120)(113, 121)(114, 122)(118, 126)(119, 127)(123, 125)(124, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1181 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 994>$ (small group id <128, 994>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, Y2 * Y1^-1 * Y3 * Y1^-1, (R * Y1)^2, Y1^4, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 77, 13, 72, 8, 67)(4, 75, 11, 78, 14, 71, 7, 68)(10, 80, 16, 85, 21, 81, 17, 74)(12, 79, 15, 86, 22, 83, 19, 76)(18, 89, 25, 93, 29, 88, 24, 82)(20, 91, 27, 94, 30, 87, 23, 84)(26, 96, 32, 101, 37, 97, 33, 90)(28, 95, 31, 102, 38, 99, 35, 92)(34, 105, 41, 109, 45, 104, 40, 98)(36, 107, 43, 110, 46, 103, 39, 100)(42, 112, 48, 117, 53, 113, 49, 106)(44, 111, 47, 118, 54, 115, 51, 108)(50, 121, 57, 125, 61, 120, 56, 114)(52, 123, 59, 126, 62, 119, 55, 116)(58, 128, 64, 124, 60, 127, 63, 122)
	L = (1, 3)(2, 7)(4, 12)(5, 11)(6, 13)(8, 16)(9, 17)(10, 18)(14, 22)(15, 23)(19, 27)(20, 28)(21, 29)(24, 32)(25, 33)(26, 34)(30, 38)(31, 39)(35, 43)(36, 44)(37, 45)(40, 48)(41, 49)(42, 50)(46, 54)(47, 55)(51, 59)(52, 60)(53, 61)(56, 64)(57, 63)(58, 62)(65, 68)(66, 72)(67, 74)(69, 73)(70, 78)(71, 79)(75, 83)(76, 84)(77, 85)(80, 88)(81, 89)(82, 90)(86, 94)(87, 95)(91, 99)(92, 100)(93, 101)(96, 104)(97, 105)(98, 106)(102, 110)(103, 111)(107, 115)(108, 116)(109, 117)(112, 120)(113, 121)(114, 122)(118, 126)(119, 127)(123, 128)(124, 125)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1182 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^-1 * Y1 * Y3 * Y2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 16, 80, 8, 72)(3, 67, 10, 74, 20, 84, 11, 75)(6, 70, 14, 78, 24, 88, 15, 79)(9, 73, 18, 82, 28, 92, 19, 83)(13, 77, 22, 86, 32, 96, 23, 87)(17, 81, 26, 90, 36, 100, 27, 91)(21, 85, 30, 94, 40, 104, 31, 95)(25, 89, 34, 98, 44, 108, 35, 99)(29, 93, 38, 102, 48, 112, 39, 103)(33, 97, 42, 106, 52, 116, 43, 107)(37, 101, 46, 110, 56, 120, 47, 111)(41, 105, 50, 114, 60, 124, 51, 115)(45, 109, 54, 118, 64, 128, 55, 119)(49, 113, 58, 122, 61, 125, 59, 123)(53, 117, 62, 126, 57, 121, 63, 127)(129, 130)(131, 137)(132, 138)(133, 139)(134, 141)(135, 142)(136, 143)(140, 144)(145, 153)(146, 154)(147, 155)(148, 156)(149, 157)(150, 158)(151, 159)(152, 160)(161, 169)(162, 170)(163, 171)(164, 172)(165, 173)(166, 174)(167, 175)(168, 176)(177, 185)(178, 186)(179, 187)(180, 188)(181, 189)(182, 190)(183, 191)(184, 192)(193, 195)(194, 198)(196, 199)(197, 200)(201, 209)(202, 210)(203, 211)(204, 212)(205, 213)(206, 214)(207, 215)(208, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 241)(234, 242)(235, 243)(236, 244)(237, 245)(238, 246)(239, 247)(240, 248)(249, 256)(250, 255)(251, 254)(252, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1186
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1183 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 994>$ (small group id <128, 994>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^-1 * Y1 * Y3^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 12, 76, 5, 69)(2, 66, 7, 71, 16, 80, 8, 72)(3, 67, 10, 74, 20, 84, 11, 75)(6, 70, 14, 78, 24, 88, 15, 79)(9, 73, 18, 82, 28, 92, 19, 83)(13, 77, 22, 86, 32, 96, 23, 87)(17, 81, 26, 90, 36, 100, 27, 91)(21, 85, 30, 94, 40, 104, 31, 95)(25, 89, 34, 98, 44, 108, 35, 99)(29, 93, 38, 102, 48, 112, 39, 103)(33, 97, 42, 106, 52, 116, 43, 107)(37, 101, 46, 110, 56, 120, 47, 111)(41, 105, 50, 114, 60, 124, 51, 115)(45, 109, 54, 118, 64, 128, 55, 119)(49, 113, 58, 122, 61, 125, 59, 123)(53, 117, 62, 126, 57, 121, 63, 127)(129, 130)(131, 137)(132, 139)(133, 138)(134, 141)(135, 143)(136, 142)(140, 144)(145, 153)(146, 155)(147, 154)(148, 156)(149, 157)(150, 159)(151, 158)(152, 160)(161, 169)(162, 171)(163, 170)(164, 172)(165, 173)(166, 175)(167, 174)(168, 176)(177, 185)(178, 187)(179, 186)(180, 188)(181, 189)(182, 191)(183, 190)(184, 192)(193, 195)(194, 198)(196, 200)(197, 199)(201, 209)(202, 211)(203, 210)(204, 212)(205, 213)(206, 215)(207, 214)(208, 216)(217, 225)(218, 227)(219, 226)(220, 228)(221, 229)(222, 231)(223, 230)(224, 232)(233, 241)(234, 243)(235, 242)(236, 244)(237, 245)(238, 247)(239, 246)(240, 248)(249, 256)(250, 254)(251, 255)(252, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1187
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1184 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, Y2 * Y1^2 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 15, 79)(6, 70, 14, 78)(7, 71, 16, 80)(8, 72, 18, 82)(10, 74, 20, 84)(11, 75, 22, 86)(13, 77, 24, 88)(17, 81, 26, 90)(19, 83, 28, 92)(21, 85, 30, 94)(23, 87, 32, 96)(25, 89, 34, 98)(27, 91, 36, 100)(29, 93, 38, 102)(31, 95, 40, 104)(33, 97, 42, 106)(35, 99, 44, 108)(37, 101, 46, 110)(39, 103, 48, 112)(41, 105, 50, 114)(43, 107, 52, 116)(45, 109, 54, 118)(47, 111, 56, 120)(49, 113, 58, 122)(51, 115, 60, 124)(53, 117, 61, 125)(55, 119, 62, 126)(57, 121, 63, 127)(59, 123, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 140, 144, 142)(136, 145, 138, 147)(137, 146, 143, 148)(149, 157, 151, 159)(150, 158, 152, 160)(153, 161, 155, 163)(154, 162, 156, 164)(165, 173, 167, 175)(166, 174, 168, 176)(169, 177, 171, 179)(170, 178, 172, 180)(181, 187, 183, 185)(182, 189, 184, 190)(186, 191, 188, 192)(193, 195, 199, 198)(194, 200, 197, 202)(196, 201, 208, 207)(203, 213, 205, 215)(204, 214, 206, 216)(209, 217, 211, 219)(210, 218, 212, 220)(221, 229, 223, 231)(222, 230, 224, 232)(225, 233, 227, 235)(226, 234, 228, 236)(237, 245, 239, 247)(238, 246, 240, 248)(241, 249, 243, 251)(242, 250, 244, 252)(253, 256, 254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1188
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1185 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 992>$ (small group id <128, 992>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, Y2 * Y1^2 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 15, 79)(6, 70, 14, 78)(7, 71, 16, 80)(8, 72, 18, 82)(10, 74, 20, 84)(11, 75, 22, 86)(13, 77, 24, 88)(17, 81, 26, 90)(19, 83, 28, 92)(21, 85, 30, 94)(23, 87, 32, 96)(25, 89, 34, 98)(27, 91, 36, 100)(29, 93, 38, 102)(31, 95, 40, 104)(33, 97, 42, 106)(35, 99, 44, 108)(37, 101, 46, 110)(39, 103, 48, 112)(41, 105, 50, 114)(43, 107, 52, 116)(45, 109, 54, 118)(47, 111, 56, 120)(49, 113, 58, 122)(51, 115, 60, 124)(53, 117, 61, 125)(55, 119, 62, 126)(57, 121, 63, 127)(59, 123, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 144, 140)(136, 145, 138, 147)(137, 148, 143, 146)(149, 157, 151, 159)(150, 160, 152, 158)(153, 161, 155, 163)(154, 164, 156, 162)(165, 173, 167, 175)(166, 176, 168, 174)(169, 177, 171, 179)(170, 180, 172, 178)(181, 187, 183, 185)(182, 190, 184, 189)(186, 192, 188, 191)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 208, 201)(203, 213, 205, 215)(204, 216, 206, 214)(209, 217, 211, 219)(210, 220, 212, 218)(221, 229, 223, 231)(222, 232, 224, 230)(225, 233, 227, 235)(226, 236, 228, 234)(237, 245, 239, 247)(238, 248, 240, 246)(241, 249, 243, 251)(242, 252, 244, 250)(253, 255, 254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1189
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1186 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^-1 * Y1 * Y3 * Y2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 16, 80, 144, 208, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 20, 84, 148, 212, 11, 75, 139, 203)(6, 70, 134, 198, 14, 78, 142, 206, 24, 88, 152, 216, 15, 79, 143, 207)(9, 73, 137, 201, 18, 82, 146, 210, 28, 92, 156, 220, 19, 83, 147, 211)(13, 77, 141, 205, 22, 86, 150, 214, 32, 96, 160, 224, 23, 87, 151, 215)(17, 81, 145, 209, 26, 90, 154, 218, 36, 100, 164, 228, 27, 91, 155, 219)(21, 85, 149, 213, 30, 94, 158, 222, 40, 104, 168, 232, 31, 95, 159, 223)(25, 89, 153, 217, 34, 98, 162, 226, 44, 108, 172, 236, 35, 99, 163, 227)(29, 93, 157, 221, 38, 102, 166, 230, 48, 112, 176, 240, 39, 103, 167, 231)(33, 97, 161, 225, 42, 106, 170, 234, 52, 116, 180, 244, 43, 107, 171, 235)(37, 101, 165, 229, 46, 110, 174, 238, 56, 120, 184, 248, 47, 111, 175, 239)(41, 105, 169, 233, 50, 114, 178, 242, 60, 124, 188, 252, 51, 115, 179, 243)(45, 109, 173, 237, 54, 118, 182, 246, 64, 128, 192, 256, 55, 119, 183, 247)(49, 113, 177, 241, 58, 122, 186, 250, 61, 125, 189, 253, 59, 123, 187, 251)(53, 117, 181, 245, 62, 126, 190, 254, 57, 121, 185, 249, 63, 127, 191, 255)
	L = (1, 66)(2, 65)(3, 73)(4, 74)(5, 75)(6, 77)(7, 78)(8, 79)(9, 67)(10, 68)(11, 69)(12, 80)(13, 70)(14, 71)(15, 72)(16, 76)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 81)(26, 82)(27, 83)(28, 84)(29, 85)(30, 86)(31, 87)(32, 88)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 97)(42, 98)(43, 99)(44, 100)(45, 101)(46, 102)(47, 103)(48, 104)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 113)(58, 114)(59, 115)(60, 116)(61, 117)(62, 118)(63, 119)(64, 120)(129, 195)(130, 198)(131, 193)(132, 199)(133, 200)(134, 194)(135, 196)(136, 197)(137, 209)(138, 210)(139, 211)(140, 212)(141, 213)(142, 214)(143, 215)(144, 216)(145, 201)(146, 202)(147, 203)(148, 204)(149, 205)(150, 206)(151, 207)(152, 208)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 217)(162, 218)(163, 219)(164, 220)(165, 221)(166, 222)(167, 223)(168, 224)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 233)(178, 234)(179, 235)(180, 236)(181, 237)(182, 238)(183, 239)(184, 240)(185, 256)(186, 255)(187, 254)(188, 253)(189, 252)(190, 251)(191, 250)(192, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1182
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1187 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 994>$ (small group id <128, 994>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^-1 * Y1 * Y3^-1 * Y2, R * Y1 * R * Y2, (R * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 12, 76, 140, 204, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 16, 80, 144, 208, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 20, 84, 148, 212, 11, 75, 139, 203)(6, 70, 134, 198, 14, 78, 142, 206, 24, 88, 152, 216, 15, 79, 143, 207)(9, 73, 137, 201, 18, 82, 146, 210, 28, 92, 156, 220, 19, 83, 147, 211)(13, 77, 141, 205, 22, 86, 150, 214, 32, 96, 160, 224, 23, 87, 151, 215)(17, 81, 145, 209, 26, 90, 154, 218, 36, 100, 164, 228, 27, 91, 155, 219)(21, 85, 149, 213, 30, 94, 158, 222, 40, 104, 168, 232, 31, 95, 159, 223)(25, 89, 153, 217, 34, 98, 162, 226, 44, 108, 172, 236, 35, 99, 163, 227)(29, 93, 157, 221, 38, 102, 166, 230, 48, 112, 176, 240, 39, 103, 167, 231)(33, 97, 161, 225, 42, 106, 170, 234, 52, 116, 180, 244, 43, 107, 171, 235)(37, 101, 165, 229, 46, 110, 174, 238, 56, 120, 184, 248, 47, 111, 175, 239)(41, 105, 169, 233, 50, 114, 178, 242, 60, 124, 188, 252, 51, 115, 179, 243)(45, 109, 173, 237, 54, 118, 182, 246, 64, 128, 192, 256, 55, 119, 183, 247)(49, 113, 177, 241, 58, 122, 186, 250, 61, 125, 189, 253, 59, 123, 187, 251)(53, 117, 181, 245, 62, 126, 190, 254, 57, 121, 185, 249, 63, 127, 191, 255)
	L = (1, 66)(2, 65)(3, 73)(4, 75)(5, 74)(6, 77)(7, 79)(8, 78)(9, 67)(10, 69)(11, 68)(12, 80)(13, 70)(14, 72)(15, 71)(16, 76)(17, 89)(18, 91)(19, 90)(20, 92)(21, 93)(22, 95)(23, 94)(24, 96)(25, 81)(26, 83)(27, 82)(28, 84)(29, 85)(30, 87)(31, 86)(32, 88)(33, 105)(34, 107)(35, 106)(36, 108)(37, 109)(38, 111)(39, 110)(40, 112)(41, 97)(42, 99)(43, 98)(44, 100)(45, 101)(46, 103)(47, 102)(48, 104)(49, 121)(50, 123)(51, 122)(52, 124)(53, 125)(54, 127)(55, 126)(56, 128)(57, 113)(58, 115)(59, 114)(60, 116)(61, 117)(62, 119)(63, 118)(64, 120)(129, 195)(130, 198)(131, 193)(132, 200)(133, 199)(134, 194)(135, 197)(136, 196)(137, 209)(138, 211)(139, 210)(140, 212)(141, 213)(142, 215)(143, 214)(144, 216)(145, 201)(146, 203)(147, 202)(148, 204)(149, 205)(150, 207)(151, 206)(152, 208)(153, 225)(154, 227)(155, 226)(156, 228)(157, 229)(158, 231)(159, 230)(160, 232)(161, 217)(162, 219)(163, 218)(164, 220)(165, 221)(166, 223)(167, 222)(168, 224)(169, 241)(170, 243)(171, 242)(172, 244)(173, 245)(174, 247)(175, 246)(176, 248)(177, 233)(178, 235)(179, 234)(180, 236)(181, 237)(182, 239)(183, 238)(184, 240)(185, 256)(186, 254)(187, 255)(188, 253)(189, 252)(190, 250)(191, 251)(192, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1183
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1188 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, Y2 * Y1^2 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 15, 79, 143, 207)(6, 70, 134, 198, 14, 78, 142, 206)(7, 71, 135, 199, 16, 80, 144, 208)(8, 72, 136, 200, 18, 82, 146, 210)(10, 74, 138, 202, 20, 84, 148, 212)(11, 75, 139, 203, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(17, 81, 145, 209, 26, 90, 154, 218)(19, 83, 147, 211, 28, 92, 156, 220)(21, 85, 149, 213, 30, 94, 158, 222)(23, 87, 151, 215, 32, 96, 160, 224)(25, 89, 153, 217, 34, 98, 162, 226)(27, 91, 155, 219, 36, 100, 164, 228)(29, 93, 157, 221, 38, 102, 166, 230)(31, 95, 159, 223, 40, 104, 168, 232)(33, 97, 161, 225, 42, 106, 170, 234)(35, 99, 163, 227, 44, 108, 172, 236)(37, 101, 165, 229, 46, 110, 174, 238)(39, 103, 167, 231, 48, 112, 176, 240)(41, 105, 169, 233, 50, 114, 178, 242)(43, 107, 171, 235, 52, 116, 180, 244)(45, 109, 173, 237, 54, 118, 182, 246)(47, 111, 175, 239, 56, 120, 184, 248)(49, 113, 177, 241, 58, 122, 186, 250)(51, 115, 179, 243, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(55, 119, 183, 247, 62, 126, 190, 254)(57, 121, 185, 249, 63, 127, 191, 255)(59, 123, 187, 251, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 76)(5, 65)(6, 77)(7, 69)(8, 81)(9, 82)(10, 83)(11, 70)(12, 80)(13, 67)(14, 68)(15, 84)(16, 78)(17, 74)(18, 79)(19, 72)(20, 73)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 87)(30, 88)(31, 85)(32, 86)(33, 91)(34, 92)(35, 89)(36, 90)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 103)(46, 104)(47, 101)(48, 102)(49, 107)(50, 108)(51, 105)(52, 106)(53, 123)(54, 125)(55, 121)(56, 126)(57, 117)(58, 127)(59, 119)(60, 128)(61, 120)(62, 118)(63, 124)(64, 122)(129, 195)(130, 200)(131, 199)(132, 201)(133, 202)(134, 193)(135, 198)(136, 197)(137, 208)(138, 194)(139, 213)(140, 214)(141, 215)(142, 216)(143, 196)(144, 207)(145, 217)(146, 218)(147, 219)(148, 220)(149, 205)(150, 206)(151, 203)(152, 204)(153, 211)(154, 212)(155, 209)(156, 210)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 223)(166, 224)(167, 221)(168, 222)(169, 227)(170, 228)(171, 225)(172, 226)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 239)(182, 240)(183, 237)(184, 238)(185, 243)(186, 244)(187, 241)(188, 242)(189, 256)(190, 255)(191, 253)(192, 254)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1184
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1189 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 992>$ (small group id <128, 992>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y1^4, Y2 * Y1^2 * Y2, (R * Y3)^2, R * Y1 * R * Y2, Y2^-1 * Y3 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 15, 79, 143, 207)(6, 70, 134, 198, 14, 78, 142, 206)(7, 71, 135, 199, 16, 80, 144, 208)(8, 72, 136, 200, 18, 82, 146, 210)(10, 74, 138, 202, 20, 84, 148, 212)(11, 75, 139, 203, 22, 86, 150, 214)(13, 77, 141, 205, 24, 88, 152, 216)(17, 81, 145, 209, 26, 90, 154, 218)(19, 83, 147, 211, 28, 92, 156, 220)(21, 85, 149, 213, 30, 94, 158, 222)(23, 87, 151, 215, 32, 96, 160, 224)(25, 89, 153, 217, 34, 98, 162, 226)(27, 91, 155, 219, 36, 100, 164, 228)(29, 93, 157, 221, 38, 102, 166, 230)(31, 95, 159, 223, 40, 104, 168, 232)(33, 97, 161, 225, 42, 106, 170, 234)(35, 99, 163, 227, 44, 108, 172, 236)(37, 101, 165, 229, 46, 110, 174, 238)(39, 103, 167, 231, 48, 112, 176, 240)(41, 105, 169, 233, 50, 114, 178, 242)(43, 107, 171, 235, 52, 116, 180, 244)(45, 109, 173, 237, 54, 118, 182, 246)(47, 111, 175, 239, 56, 120, 184, 248)(49, 113, 177, 241, 58, 122, 186, 250)(51, 115, 179, 243, 60, 124, 188, 252)(53, 117, 181, 245, 61, 125, 189, 253)(55, 119, 183, 247, 62, 126, 190, 254)(57, 121, 185, 249, 63, 127, 191, 255)(59, 123, 187, 251, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 81)(9, 84)(10, 83)(11, 70)(12, 68)(13, 67)(14, 80)(15, 82)(16, 76)(17, 74)(18, 73)(19, 72)(20, 79)(21, 93)(22, 96)(23, 95)(24, 94)(25, 97)(26, 100)(27, 99)(28, 98)(29, 87)(30, 86)(31, 85)(32, 88)(33, 91)(34, 90)(35, 89)(36, 92)(37, 109)(38, 112)(39, 111)(40, 110)(41, 113)(42, 116)(43, 115)(44, 114)(45, 103)(46, 102)(47, 101)(48, 104)(49, 107)(50, 106)(51, 105)(52, 108)(53, 123)(54, 126)(55, 121)(56, 125)(57, 117)(58, 128)(59, 119)(60, 127)(61, 118)(62, 120)(63, 122)(64, 124)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 196)(138, 194)(139, 213)(140, 216)(141, 215)(142, 214)(143, 208)(144, 201)(145, 217)(146, 220)(147, 219)(148, 218)(149, 205)(150, 204)(151, 203)(152, 206)(153, 211)(154, 210)(155, 209)(156, 212)(157, 229)(158, 232)(159, 231)(160, 230)(161, 233)(162, 236)(163, 235)(164, 234)(165, 223)(166, 222)(167, 221)(168, 224)(169, 227)(170, 226)(171, 225)(172, 228)(173, 245)(174, 248)(175, 247)(176, 246)(177, 249)(178, 252)(179, 251)(180, 250)(181, 239)(182, 238)(183, 237)(184, 240)(185, 243)(186, 242)(187, 241)(188, 244)(189, 255)(190, 256)(191, 254)(192, 253)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1185
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1190 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y1^2, R^2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 10, 74)(6, 70, 12, 76)(8, 72, 11, 75)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 136, 200, 132, 196)(130, 194, 133, 197, 139, 203, 134, 198)(135, 199, 141, 205, 137, 201, 142, 206)(138, 202, 143, 207, 140, 204, 144, 208)(145, 209, 149, 213, 146, 210, 150, 214)(147, 211, 151, 215, 148, 212, 152, 216)(153, 217, 157, 221, 154, 218, 158, 222)(155, 219, 159, 223, 156, 220, 160, 224)(161, 225, 165, 229, 162, 226, 166, 230)(163, 227, 167, 231, 164, 228, 168, 232)(169, 233, 173, 237, 170, 234, 174, 238)(171, 235, 175, 239, 172, 236, 176, 240)(177, 241, 181, 245, 178, 242, 182, 246)(179, 243, 183, 247, 180, 244, 184, 248)(185, 249, 189, 253, 186, 250, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1191 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = QD64 (small group id <64, 53>)
Aut   = $<128, 995>$ (small group id <128, 995>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2, Y2^2 * Y3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 10, 74)(6, 70, 11, 75)(8, 72, 12, 76)(13, 77, 17, 81)(14, 78, 18, 82)(15, 79, 19, 83)(16, 80, 20, 84)(21, 85, 25, 89)(22, 86, 26, 90)(23, 87, 27, 91)(24, 88, 28, 92)(29, 93, 33, 97)(30, 94, 34, 98)(31, 95, 35, 99)(32, 96, 36, 100)(37, 101, 41, 105)(38, 102, 42, 106)(39, 103, 43, 107)(40, 104, 44, 108)(45, 109, 49, 113)(46, 110, 50, 114)(47, 111, 51, 115)(48, 112, 52, 116)(53, 117, 57, 121)(54, 118, 58, 122)(55, 119, 59, 123)(56, 120, 60, 124)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 132, 196, 133, 197)(130, 194, 134, 198, 135, 199, 136, 200)(137, 201, 141, 205, 138, 202, 142, 206)(139, 203, 143, 207, 140, 204, 144, 208)(145, 209, 149, 213, 146, 210, 150, 214)(147, 211, 151, 215, 148, 212, 152, 216)(153, 217, 157, 221, 154, 218, 158, 222)(155, 219, 159, 223, 156, 220, 160, 224)(161, 225, 165, 229, 162, 226, 166, 230)(163, 227, 167, 231, 164, 228, 168, 232)(169, 233, 173, 237, 170, 234, 174, 238)(171, 235, 175, 239, 172, 236, 176, 240)(177, 241, 181, 245, 178, 242, 182, 246)(179, 243, 183, 247, 180, 244, 184, 248)(185, 249, 189, 253, 186, 250, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 133)(4, 129)(5, 131)(6, 136)(7, 130)(8, 134)(9, 138)(10, 137)(11, 140)(12, 139)(13, 142)(14, 141)(15, 144)(16, 143)(17, 146)(18, 145)(19, 148)(20, 147)(21, 150)(22, 149)(23, 152)(24, 151)(25, 154)(26, 153)(27, 156)(28, 155)(29, 158)(30, 157)(31, 160)(32, 159)(33, 162)(34, 161)(35, 164)(36, 163)(37, 166)(38, 165)(39, 168)(40, 167)(41, 170)(42, 169)(43, 172)(44, 171)(45, 174)(46, 173)(47, 176)(48, 175)(49, 178)(50, 177)(51, 180)(52, 179)(53, 182)(54, 181)(55, 184)(56, 183)(57, 186)(58, 185)(59, 188)(60, 187)(61, 190)(62, 189)(63, 192)(64, 191)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1192 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 60>)
Aut   = $<128, 1578>$ (small group id <128, 1578>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2 * Y1 * Y2)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2)^4, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 34, 98)(25, 89, 36, 100)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 159, 223, 176, 240)(158, 222, 177, 241, 160, 224, 178, 242)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 181, 245, 170, 234, 184, 248)(169, 233, 185, 249, 171, 235, 186, 250)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1193 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
Aut   = $<128, 1135>$ (small group id <128, 1135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 43, 107)(27, 91, 32, 96)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 33, 97)(35, 99, 52, 116)(41, 105, 53, 117)(42, 106, 56, 120)(44, 108, 50, 114)(45, 109, 57, 121)(46, 110, 58, 122)(47, 111, 51, 115)(48, 112, 54, 118)(49, 113, 55, 119)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 176, 240)(157, 221, 177, 241)(160, 224, 178, 242)(161, 225, 179, 243)(162, 226, 181, 245)(164, 228, 184, 248)(166, 230, 185, 249)(167, 231, 186, 250)(171, 235, 187, 251)(173, 237, 188, 252)(174, 238, 189, 253)(180, 244, 190, 254)(182, 246, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 178)(32, 180)(33, 143)(34, 182)(35, 145)(36, 183)(37, 185)(38, 148)(39, 146)(40, 186)(41, 187)(42, 149)(43, 151)(44, 188)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 190)(51, 159)(52, 161)(53, 191)(54, 164)(55, 162)(56, 192)(57, 168)(58, 165)(59, 170)(60, 175)(61, 172)(62, 179)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1198
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1194 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
Aut   = $<128, 1135>$ (small group id <128, 1135>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, Y3^4, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, (Y2^-2 * Y1)^2, (Y3 * Y2)^4, Y2 * R * Y3^2 * Y1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 25, 89)(14, 78, 26, 90)(15, 79, 27, 91)(16, 80, 28, 92)(17, 81, 29, 93)(19, 83, 31, 95)(20, 84, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(45, 109, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 163, 227, 146, 210, 156, 220)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 151, 215, 174, 238, 158, 222)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 185, 249, 172, 236, 187, 251)(171, 235, 186, 250, 173, 237, 188, 252)(181, 245, 189, 253, 183, 247, 191, 255)(182, 246, 190, 254, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 154)(12, 164)(13, 151)(14, 131)(15, 170)(16, 134)(17, 172)(18, 160)(19, 158)(20, 133)(21, 171)(22, 173)(23, 142)(24, 175)(25, 139)(26, 135)(27, 181)(28, 138)(29, 183)(30, 148)(31, 146)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1196
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1195 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
Aut   = $<128, 1142>$ (small group id <128, 1142>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2^-1 * Y1)^4, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 27, 91)(14, 78, 33, 97)(15, 79, 25, 89)(16, 80, 28, 92)(17, 81, 31, 95)(19, 83, 29, 93)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 32, 96)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 54, 118)(40, 104, 56, 120)(41, 105, 55, 119)(42, 106, 51, 115)(43, 107, 53, 117)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 161)(12, 165)(13, 168)(14, 131)(15, 151)(16, 134)(17, 158)(18, 162)(19, 173)(20, 133)(21, 172)(22, 174)(23, 149)(24, 177)(25, 180)(26, 135)(27, 139)(28, 138)(29, 146)(30, 150)(31, 185)(32, 137)(33, 184)(34, 186)(35, 182)(36, 183)(37, 187)(38, 140)(39, 175)(40, 142)(41, 176)(42, 188)(43, 189)(44, 143)(45, 148)(46, 145)(47, 170)(48, 171)(49, 190)(50, 152)(51, 163)(52, 154)(53, 164)(54, 191)(55, 192)(56, 155)(57, 160)(58, 157)(59, 166)(60, 167)(61, 169)(62, 178)(63, 179)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1197
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1196 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
Aut   = $<128, 1135>$ (small group id <128, 1135>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (Y2^-1 * Y1 * Y2^-1)^2, Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 54, 118)(40, 104, 56, 120)(41, 105, 55, 119)(42, 106, 51, 115)(43, 107, 53, 117)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 157)(19, 173)(20, 133)(21, 151)(22, 158)(23, 143)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 145)(31, 185)(32, 137)(33, 139)(34, 146)(35, 179)(36, 181)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 175)(43, 176)(44, 149)(45, 148)(46, 150)(47, 167)(48, 169)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 163)(55, 164)(56, 161)(57, 160)(58, 162)(59, 166)(60, 170)(61, 171)(62, 178)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1194
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1197 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
Aut   = $<128, 1142>$ (small group id <128, 1142>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 29, 93)(15, 79, 25, 89)(16, 80, 30, 94)(17, 81, 28, 92)(18, 82, 27, 91)(19, 83, 24, 88)(20, 84, 26, 90)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 46, 110)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 54, 118)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 184, 248, 169, 233, 186, 250)(167, 231, 185, 249, 170, 234, 187, 251)(178, 242, 189, 253, 181, 245, 191, 255)(179, 243, 190, 254, 182, 246, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1195
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C2 x C2 x C2) : C2 (small group id <64, 67>)
Aut   = $<128, 1135>$ (small group id <128, 1135>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^2 * Y1^-2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-2 * Y2 * Y1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (Y1^-1, Y2^-1, Y1^-1), (Y2^-1 * Y1 * Y2^-1 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 24, 88, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 25, 89, 23, 87)(9, 73, 26, 90, 19, 83, 29, 93)(11, 75, 32, 96, 20, 84, 34, 98)(14, 78, 27, 91, 46, 110, 40, 104)(15, 79, 36, 100, 17, 81, 38, 102)(18, 82, 44, 108, 22, 86, 45, 109)(28, 92, 48, 112, 30, 94, 50, 114)(31, 95, 55, 119, 33, 97, 56, 120)(35, 99, 47, 111, 42, 106, 53, 117)(37, 101, 49, 113, 43, 107, 54, 118)(39, 103, 51, 115, 41, 105, 52, 116)(57, 121, 61, 125, 58, 122, 62, 126)(59, 123, 63, 127, 60, 124, 64, 128)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 155, 219, 139, 203)(132, 196, 146, 210, 167, 231, 145, 209)(133, 197, 147, 211, 168, 232, 148, 212)(135, 199, 150, 214, 169, 233, 143, 207)(136, 200, 152, 216, 174, 238, 153, 217)(138, 202, 159, 223, 179, 243, 158, 222)(140, 204, 161, 225, 180, 244, 156, 220)(141, 205, 163, 227, 149, 213, 165, 229)(144, 208, 170, 234, 151, 215, 171, 235)(154, 218, 175, 239, 160, 224, 177, 241)(157, 221, 181, 245, 162, 226, 182, 246)(164, 228, 187, 251, 173, 237, 186, 250)(166, 230, 188, 252, 172, 236, 185, 249)(176, 240, 191, 255, 184, 248, 190, 254)(178, 242, 192, 256, 183, 247, 189, 253)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 156)(10, 133)(11, 161)(12, 130)(13, 164)(14, 167)(15, 152)(16, 166)(17, 131)(18, 134)(19, 158)(20, 159)(21, 173)(22, 153)(23, 172)(24, 145)(25, 146)(26, 176)(27, 179)(28, 147)(29, 178)(30, 137)(31, 139)(32, 184)(33, 148)(34, 183)(35, 185)(36, 144)(37, 188)(38, 141)(39, 174)(40, 180)(41, 142)(42, 186)(43, 187)(44, 149)(45, 151)(46, 169)(47, 189)(48, 157)(49, 192)(50, 154)(51, 168)(52, 155)(53, 190)(54, 191)(55, 160)(56, 162)(57, 170)(58, 163)(59, 165)(60, 171)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1193
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4 x C2) : C2 (small group id <64, 71>)
Aut   = $<128, 1165>$ (small group id <128, 1165>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y2^4, Y3^4, (Y2^-2 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 37, 101)(29, 93, 39, 103)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 49, 113)(34, 98, 53, 117)(43, 107, 56, 120)(44, 108, 60, 124)(47, 111, 55, 119)(48, 112, 54, 118)(50, 114, 58, 122)(51, 115, 57, 121)(52, 116, 59, 123)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 141, 205, 159, 223, 144, 208)(134, 198, 142, 206, 160, 224, 146, 210)(136, 200, 149, 213, 169, 233, 152, 216)(138, 202, 150, 214, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 180, 244, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 187, 251, 172, 236)(156, 220, 175, 239, 164, 228, 178, 242)(158, 222, 176, 240, 163, 227, 179, 243)(166, 230, 182, 246, 174, 238, 185, 249)(168, 232, 183, 247, 173, 237, 186, 250)(177, 241, 189, 253, 181, 245, 190, 254)(184, 248, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 149)(8, 151)(9, 152)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 162)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 172)(25, 174)(26, 137)(27, 175)(28, 177)(29, 178)(30, 139)(31, 180)(32, 140)(33, 142)(34, 146)(35, 145)(36, 181)(37, 182)(38, 184)(39, 185)(40, 147)(41, 187)(42, 148)(43, 150)(44, 154)(45, 153)(46, 188)(47, 189)(48, 155)(49, 158)(50, 190)(51, 157)(52, 160)(53, 163)(54, 191)(55, 165)(56, 168)(57, 192)(58, 167)(59, 170)(60, 173)(61, 176)(62, 179)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x C4 x C2) : C2 (small group id <64, 71>)
Aut   = $<128, 1140>$ (small group id <128, 1140>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 37, 101)(29, 93, 39, 103)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 49, 113)(34, 98, 53, 117)(43, 107, 56, 120)(44, 108, 60, 124)(47, 111, 55, 119)(48, 112, 54, 118)(50, 114, 58, 122)(51, 115, 57, 121)(52, 116, 59, 123)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 150, 214, 169, 233, 152, 216)(138, 202, 149, 213, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 180, 244, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 187, 251, 172, 236)(156, 220, 176, 240, 163, 227, 178, 242)(158, 222, 175, 239, 164, 228, 179, 243)(166, 230, 183, 247, 173, 237, 185, 249)(168, 232, 182, 246, 174, 238, 186, 250)(177, 241, 189, 253, 181, 245, 190, 254)(184, 248, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 149)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 133)(17, 163)(18, 162)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 137)(25, 173)(26, 172)(27, 175)(28, 177)(29, 179)(30, 139)(31, 180)(32, 140)(33, 142)(34, 144)(35, 181)(36, 145)(37, 182)(38, 184)(39, 186)(40, 147)(41, 187)(42, 148)(43, 150)(44, 152)(45, 188)(46, 153)(47, 189)(48, 155)(49, 158)(50, 157)(51, 190)(52, 160)(53, 164)(54, 191)(55, 165)(56, 168)(57, 167)(58, 192)(59, 170)(60, 174)(61, 176)(62, 178)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 73>)
Aut   = $<128, 1116>$ (small group id <128, 1116>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y2 * Y3^-1 * Y1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (Y2 * Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 34, 98)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 33, 97)(20, 84, 27, 91)(21, 85, 31, 95)(22, 86, 25, 89)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 55, 119)(42, 106, 51, 115)(43, 107, 53, 117)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 155)(19, 173)(20, 133)(21, 158)(22, 151)(23, 145)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 143)(31, 185)(32, 137)(33, 146)(34, 139)(35, 181)(36, 179)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 176)(43, 175)(44, 149)(45, 148)(46, 150)(47, 169)(48, 167)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 164)(55, 163)(56, 161)(57, 160)(58, 162)(59, 166)(60, 170)(61, 171)(62, 178)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x C2 x D8) : C2 (small group id <64, 73>)
Aut   = $<128, 1165>$ (small group id <128, 1165>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^4, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 28, 92)(13, 77, 27, 91)(14, 78, 30, 94)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 23, 87)(18, 82, 22, 86)(19, 83, 26, 90)(20, 84, 24, 88)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 52, 116)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 46, 110)(41, 105, 50, 114)(42, 106, 51, 115)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 147, 211, 160, 224, 148, 212)(136, 200, 152, 216, 171, 235, 154, 218)(138, 202, 157, 221, 172, 236, 158, 222)(140, 204, 161, 225, 145, 209, 163, 227)(141, 205, 164, 228, 146, 210, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 155, 219, 175, 239)(151, 215, 176, 240, 156, 220, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 184, 248, 169, 233, 186, 250)(167, 231, 185, 249, 170, 234, 187, 251)(178, 242, 189, 253, 181, 245, 191, 255)(179, 243, 190, 254, 182, 246, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 75>)
Aut   = $<128, 1142>$ (small group id <128, 1142>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 35, 99)(27, 91, 37, 101)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 56, 120)(48, 112, 55, 119)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 174, 238, 162, 226, 173, 237)(160, 224, 177, 241, 161, 225, 178, 242)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 182, 246, 172, 236, 181, 245)(170, 234, 185, 249, 171, 235, 186, 250)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1204
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1204 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 75>)
Aut   = $<128, 1142>$ (small group id <128, 1142>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y2^4, Y3^4, (Y2^-2 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 34, 98)(16, 80, 24, 88)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(23, 87, 44, 108)(26, 90, 46, 110)(27, 91, 37, 101)(29, 93, 39, 103)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 50, 114)(35, 99, 53, 117)(43, 107, 57, 121)(45, 109, 60, 124)(47, 111, 55, 119)(48, 112, 54, 118)(49, 113, 58, 122)(51, 115, 56, 120)(52, 116, 59, 123)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 143, 207, 159, 223, 141, 205)(134, 198, 146, 210, 160, 224, 142, 206)(136, 200, 151, 215, 169, 233, 149, 213)(138, 202, 154, 218, 170, 234, 150, 214)(139, 203, 155, 219, 145, 209, 157, 221)(144, 208, 161, 225, 180, 244, 163, 227)(147, 211, 165, 229, 153, 217, 167, 231)(152, 216, 171, 235, 187, 251, 173, 237)(156, 220, 177, 241, 164, 228, 175, 239)(158, 222, 179, 243, 162, 226, 176, 240)(166, 230, 184, 248, 174, 238, 182, 246)(168, 232, 186, 250, 172, 236, 183, 247)(178, 242, 189, 253, 181, 245, 190, 254)(185, 249, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 149)(8, 152)(9, 151)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 163)(16, 134)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 173)(24, 138)(25, 174)(26, 137)(27, 175)(28, 178)(29, 177)(30, 139)(31, 180)(32, 140)(33, 142)(34, 145)(35, 146)(36, 181)(37, 182)(38, 185)(39, 184)(40, 147)(41, 187)(42, 148)(43, 150)(44, 153)(45, 154)(46, 188)(47, 189)(48, 155)(49, 190)(50, 158)(51, 157)(52, 160)(53, 162)(54, 191)(55, 165)(56, 192)(57, 168)(58, 167)(59, 170)(60, 172)(61, 176)(62, 179)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1203
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1205 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 75>)
Aut   = $<128, 1140>$ (small group id <128, 1140>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^-2 * Y2 * Y3, (Y3 * Y2)^4, Y2^2 * Y3^2 * Y2 * Y1 * Y2^-1 * Y1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 31, 95)(14, 78, 32, 96)(15, 79, 29, 93)(16, 80, 28, 92)(17, 81, 27, 91)(19, 83, 25, 89)(20, 84, 26, 90)(21, 85, 34, 98)(22, 86, 33, 97)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 53, 117)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 164, 228, 145, 209)(134, 198, 149, 213, 165, 229, 150, 214)(136, 200, 155, 219, 175, 239, 157, 221)(138, 202, 161, 225, 176, 240, 162, 226)(139, 203, 156, 220, 146, 210, 163, 227)(141, 205, 166, 230, 147, 211, 167, 231)(142, 206, 168, 232, 148, 212, 169, 233)(144, 208, 158, 222, 174, 238, 151, 215)(153, 217, 177, 241, 159, 223, 178, 242)(154, 218, 179, 243, 160, 224, 180, 244)(170, 234, 185, 249, 172, 236, 187, 251)(171, 235, 186, 250, 173, 237, 188, 252)(181, 245, 189, 253, 183, 247, 191, 255)(182, 246, 190, 254, 184, 248, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 160)(12, 164)(13, 158)(14, 131)(15, 170)(16, 134)(17, 172)(18, 154)(19, 151)(20, 133)(21, 171)(22, 173)(23, 148)(24, 175)(25, 146)(26, 135)(27, 181)(28, 138)(29, 183)(30, 142)(31, 139)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1206 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x ((C4 x C2) : C2)) : C2 (small group id <64, 75>)
Aut   = $<128, 1345>$ (small group id <128, 1345>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, Y3^4, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * Y1)^4, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y2 * Y1 * Y2^-1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 29, 93)(14, 78, 34, 98)(15, 79, 31, 95)(16, 80, 28, 92)(17, 81, 25, 89)(19, 83, 27, 91)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 55, 119)(42, 106, 51, 115)(43, 107, 53, 117)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 168, 232, 187, 251, 173, 237)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 180, 244, 190, 254, 185, 249)(172, 236, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 162)(12, 165)(13, 168)(14, 131)(15, 158)(16, 134)(17, 151)(18, 161)(19, 173)(20, 133)(21, 172)(22, 174)(23, 150)(24, 177)(25, 180)(26, 135)(27, 146)(28, 138)(29, 139)(30, 149)(31, 185)(32, 137)(33, 184)(34, 186)(35, 183)(36, 182)(37, 187)(38, 140)(39, 176)(40, 142)(41, 175)(42, 188)(43, 189)(44, 143)(45, 148)(46, 145)(47, 171)(48, 170)(49, 190)(50, 152)(51, 164)(52, 154)(53, 163)(54, 191)(55, 192)(56, 155)(57, 160)(58, 157)(59, 166)(60, 167)(61, 169)(62, 178)(63, 179)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1207 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (Y2 * Y3)^2, R * Y3 * R * Y2, Y1^4, (R * Y1)^2, Y3 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 87, 23, 75, 11, 67)(4, 76, 12, 93, 29, 77, 13, 68)(7, 82, 18, 103, 39, 84, 20, 71)(8, 85, 21, 108, 44, 86, 22, 72)(10, 83, 19, 99, 35, 90, 26, 74)(14, 94, 30, 115, 51, 95, 31, 78)(15, 96, 32, 116, 52, 97, 33, 79)(16, 98, 34, 117, 53, 100, 36, 80)(17, 101, 37, 122, 58, 102, 38, 81)(24, 111, 47, 118, 54, 106, 42, 88)(25, 112, 48, 119, 55, 107, 43, 89)(27, 113, 49, 120, 56, 104, 40, 91)(28, 114, 50, 121, 57, 105, 41, 92)(45, 123, 59, 127, 63, 125, 61, 109)(46, 124, 60, 128, 64, 126, 62, 110)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 27)(12, 25)(13, 28)(15, 26)(17, 35)(18, 40)(20, 42)(21, 41)(22, 43)(23, 45)(29, 46)(30, 49)(31, 47)(32, 50)(33, 48)(34, 54)(36, 56)(37, 55)(38, 57)(39, 59)(44, 60)(51, 61)(52, 62)(53, 63)(58, 64)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 89)(75, 92)(76, 88)(77, 91)(78, 90)(80, 99)(82, 105)(84, 107)(85, 104)(86, 106)(87, 110)(93, 109)(94, 114)(95, 112)(96, 113)(97, 111)(98, 119)(100, 121)(101, 118)(102, 120)(103, 124)(108, 123)(115, 126)(116, 125)(117, 128)(122, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1208 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y1)^4 ]
Map::
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 23, 87, 10, 74)(6, 70, 16, 80, 34, 98, 17, 81)(11, 75, 24, 88, 45, 109, 25, 89)(12, 76, 26, 90, 46, 110, 27, 91)(14, 78, 30, 94, 51, 115, 31, 95)(15, 79, 32, 96, 52, 116, 33, 97)(18, 82, 35, 99, 53, 117, 36, 100)(19, 83, 37, 101, 54, 118, 38, 102)(21, 85, 41, 105, 59, 123, 42, 106)(22, 86, 43, 107, 60, 124, 44, 108)(28, 92, 47, 111, 61, 125, 48, 112)(29, 93, 49, 113, 62, 126, 50, 114)(39, 103, 55, 119, 63, 127, 56, 120)(40, 104, 57, 121, 64, 128, 58, 122)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 147)(138, 150)(140, 144)(141, 156)(143, 145)(148, 167)(151, 168)(152, 170)(153, 164)(154, 172)(155, 166)(157, 162)(158, 169)(159, 163)(160, 171)(161, 165)(173, 183)(174, 185)(175, 181)(176, 187)(177, 182)(178, 188)(179, 184)(180, 186)(189, 191)(190, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 210)(202, 213)(203, 208)(205, 221)(206, 209)(212, 232)(215, 231)(216, 236)(217, 230)(218, 234)(219, 228)(220, 226)(222, 235)(223, 229)(224, 233)(225, 227)(237, 249)(238, 247)(239, 246)(240, 252)(241, 245)(242, 251)(243, 250)(244, 248)(253, 256)(254, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1210
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1209 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 513>$ (small group id <128, 513>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^2 * Y3 * Y1^-2, (Y3 * Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 19, 83)(6, 70, 20, 84)(7, 71, 22, 86)(8, 72, 25, 89)(10, 74, 30, 94)(11, 75, 31, 95)(12, 76, 33, 97)(14, 78, 36, 100)(15, 79, 38, 102)(16, 80, 39, 103)(17, 81, 40, 104)(18, 82, 37, 101)(21, 85, 43, 107)(23, 87, 46, 110)(24, 88, 47, 111)(26, 90, 49, 113)(27, 91, 50, 114)(28, 92, 51, 115)(29, 93, 52, 116)(32, 96, 54, 118)(34, 98, 55, 119)(35, 99, 56, 120)(41, 105, 57, 121)(42, 106, 58, 122)(44, 108, 60, 124)(45, 109, 61, 125)(48, 112, 62, 126)(53, 117, 63, 127)(59, 123, 64, 128)(129, 130, 135, 133)(131, 139, 149, 138)(132, 142, 161, 144)(134, 146, 151, 136)(137, 154, 175, 156)(140, 152, 170, 160)(141, 155, 148, 162)(143, 159, 181, 165)(145, 158, 176, 153)(147, 163, 182, 169)(150, 172, 186, 173)(157, 174, 187, 171)(164, 185, 188, 179)(166, 178, 168, 180)(167, 184, 189, 177)(183, 190, 192, 191)(193, 195, 204, 198)(194, 200, 216, 202)(196, 207, 214, 209)(197, 210, 224, 203)(199, 213, 234, 215)(201, 219, 211, 221)(205, 218, 235, 227)(206, 217, 236, 229)(208, 222, 237, 223)(212, 220, 238, 233)(225, 245, 250, 240)(226, 246, 251, 239)(228, 242, 231, 247)(230, 249, 255, 248)(232, 243, 254, 241)(244, 253, 256, 252)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1211
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1210 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 753>$ (small group id <128, 753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, Y3^4, Y2 * Y3^-1 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 23, 87, 151, 215, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 34, 98, 162, 226, 17, 81, 145, 209)(11, 75, 139, 203, 24, 88, 152, 216, 45, 109, 173, 237, 25, 89, 153, 217)(12, 76, 140, 204, 26, 90, 154, 218, 46, 110, 174, 238, 27, 91, 155, 219)(14, 78, 142, 206, 30, 94, 158, 222, 51, 115, 179, 243, 31, 95, 159, 223)(15, 79, 143, 207, 32, 96, 160, 224, 52, 116, 180, 244, 33, 97, 161, 225)(18, 82, 146, 210, 35, 99, 163, 227, 53, 117, 181, 245, 36, 100, 164, 228)(19, 83, 147, 211, 37, 101, 165, 229, 54, 118, 182, 246, 38, 102, 166, 230)(21, 85, 149, 213, 41, 105, 169, 233, 59, 123, 187, 251, 42, 106, 170, 234)(22, 86, 150, 214, 43, 107, 171, 235, 60, 124, 188, 252, 44, 108, 172, 236)(28, 92, 156, 220, 47, 111, 175, 239, 61, 125, 189, 253, 48, 112, 176, 240)(29, 93, 157, 221, 49, 113, 177, 241, 62, 126, 190, 254, 50, 114, 178, 242)(39, 103, 167, 231, 55, 119, 183, 247, 63, 127, 191, 255, 56, 120, 184, 248)(40, 104, 168, 232, 57, 121, 185, 249, 64, 128, 192, 256, 58, 122, 186, 250)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 83)(10, 86)(11, 68)(12, 80)(13, 92)(14, 69)(15, 81)(16, 76)(17, 79)(18, 71)(19, 73)(20, 103)(21, 72)(22, 74)(23, 104)(24, 106)(25, 100)(26, 108)(27, 102)(28, 77)(29, 98)(30, 105)(31, 99)(32, 107)(33, 101)(34, 93)(35, 95)(36, 89)(37, 97)(38, 91)(39, 84)(40, 87)(41, 94)(42, 88)(43, 96)(44, 90)(45, 119)(46, 121)(47, 117)(48, 123)(49, 118)(50, 124)(51, 120)(52, 122)(53, 111)(54, 113)(55, 109)(56, 115)(57, 110)(58, 116)(59, 112)(60, 114)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 210)(138, 213)(139, 208)(140, 196)(141, 221)(142, 209)(143, 197)(144, 203)(145, 206)(146, 201)(147, 199)(148, 232)(149, 202)(150, 200)(151, 231)(152, 236)(153, 230)(154, 234)(155, 228)(156, 226)(157, 205)(158, 235)(159, 229)(160, 233)(161, 227)(162, 220)(163, 225)(164, 219)(165, 223)(166, 217)(167, 215)(168, 212)(169, 224)(170, 218)(171, 222)(172, 216)(173, 249)(174, 247)(175, 246)(176, 252)(177, 245)(178, 251)(179, 250)(180, 248)(181, 241)(182, 239)(183, 238)(184, 244)(185, 237)(186, 243)(187, 242)(188, 240)(189, 256)(190, 255)(191, 254)(192, 253)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1208
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1211 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 513>$ (small group id <128, 513>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, (Y1^-1 * Y2^-1)^2, (Y2 * Y1^-1)^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2^2 * Y3 * Y1^-2, (Y3 * Y1^-1 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 19, 83, 147, 211)(6, 70, 134, 198, 20, 84, 148, 212)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 25, 89, 153, 217)(10, 74, 138, 202, 30, 94, 158, 222)(11, 75, 139, 203, 31, 95, 159, 223)(12, 76, 140, 204, 33, 97, 161, 225)(14, 78, 142, 206, 36, 100, 164, 228)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231)(17, 81, 145, 209, 40, 104, 168, 232)(18, 82, 146, 210, 37, 101, 165, 229)(21, 85, 149, 213, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238)(24, 88, 152, 216, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(28, 92, 156, 220, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(32, 96, 160, 224, 54, 118, 182, 246)(34, 98, 162, 226, 55, 119, 183, 247)(35, 99, 163, 227, 56, 120, 184, 248)(41, 105, 169, 233, 57, 121, 185, 249)(42, 106, 170, 234, 58, 122, 186, 250)(44, 108, 172, 236, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253)(48, 112, 176, 240, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255)(59, 123, 187, 251, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 82)(7, 69)(8, 70)(9, 90)(10, 67)(11, 85)(12, 88)(13, 91)(14, 97)(15, 95)(16, 68)(17, 94)(18, 87)(19, 99)(20, 98)(21, 74)(22, 108)(23, 72)(24, 106)(25, 81)(26, 111)(27, 84)(28, 73)(29, 110)(30, 112)(31, 117)(32, 76)(33, 80)(34, 77)(35, 118)(36, 121)(37, 79)(38, 114)(39, 120)(40, 116)(41, 83)(42, 96)(43, 93)(44, 122)(45, 86)(46, 123)(47, 92)(48, 89)(49, 103)(50, 104)(51, 100)(52, 102)(53, 101)(54, 105)(55, 126)(56, 125)(57, 124)(58, 109)(59, 107)(60, 115)(61, 113)(62, 128)(63, 119)(64, 127)(129, 195)(130, 200)(131, 204)(132, 207)(133, 210)(134, 193)(135, 213)(136, 216)(137, 219)(138, 194)(139, 197)(140, 198)(141, 218)(142, 217)(143, 214)(144, 222)(145, 196)(146, 224)(147, 221)(148, 220)(149, 234)(150, 209)(151, 199)(152, 202)(153, 236)(154, 235)(155, 211)(156, 238)(157, 201)(158, 237)(159, 208)(160, 203)(161, 245)(162, 246)(163, 205)(164, 242)(165, 206)(166, 249)(167, 247)(168, 243)(169, 212)(170, 215)(171, 227)(172, 229)(173, 223)(174, 233)(175, 226)(176, 225)(177, 232)(178, 231)(179, 254)(180, 253)(181, 250)(182, 251)(183, 228)(184, 230)(185, 255)(186, 240)(187, 239)(188, 244)(189, 256)(190, 241)(191, 248)(192, 252)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1209
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2)^2, (Y3^-1 * Y1)^4, Y3 * Y1 * Y2 * Y3^-2 * Y1 * Y3 * Y2, Y2 * Y3^2 * Y1 * Y3^-2 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 30, 94)(16, 80, 37, 101)(17, 81, 39, 103)(19, 83, 43, 107)(21, 85, 34, 98)(22, 86, 40, 104)(23, 87, 44, 108)(25, 89, 38, 102)(27, 91, 35, 99)(28, 92, 46, 110)(29, 93, 42, 106)(31, 95, 36, 100)(32, 96, 45, 109)(33, 97, 41, 105)(47, 111, 59, 123)(48, 112, 62, 126)(49, 113, 58, 122)(50, 114, 56, 120)(51, 115, 60, 124)(52, 116, 63, 127)(53, 117, 57, 121)(54, 118, 61, 125)(55, 119, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 159, 223)(143, 207, 162, 226)(146, 210, 168, 232)(147, 211, 166, 230)(148, 212, 172, 236)(150, 214, 175, 239)(151, 215, 176, 240)(152, 216, 178, 242)(154, 218, 181, 245)(156, 220, 183, 247)(157, 221, 182, 246)(158, 222, 177, 241)(160, 224, 180, 244)(161, 225, 179, 243)(163, 227, 184, 248)(164, 228, 185, 249)(165, 229, 187, 251)(167, 231, 190, 254)(169, 233, 192, 256)(170, 234, 191, 255)(171, 235, 186, 250)(173, 237, 189, 253)(174, 238, 188, 252)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 160)(15, 163)(16, 166)(17, 134)(18, 169)(19, 136)(20, 173)(21, 175)(22, 177)(23, 137)(24, 179)(25, 139)(26, 182)(27, 183)(28, 181)(29, 140)(30, 176)(31, 180)(32, 178)(33, 142)(34, 184)(35, 186)(36, 143)(37, 188)(38, 145)(39, 191)(40, 192)(41, 190)(42, 146)(43, 185)(44, 189)(45, 187)(46, 148)(47, 158)(48, 149)(49, 151)(50, 161)(51, 159)(52, 152)(53, 157)(54, 155)(55, 154)(56, 171)(57, 162)(58, 164)(59, 174)(60, 172)(61, 165)(62, 170)(63, 168)(64, 167)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1223
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 30, 94)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(21, 85, 29, 93)(23, 87, 39, 103)(25, 89, 33, 97)(26, 90, 27, 91)(31, 95, 48, 112)(35, 99, 47, 111)(36, 100, 51, 115)(37, 101, 46, 110)(38, 102, 44, 108)(40, 104, 52, 116)(41, 105, 50, 114)(42, 106, 45, 109)(43, 107, 49, 113)(53, 117, 60, 124)(54, 118, 59, 123)(55, 119, 58, 122)(56, 120, 62, 126)(57, 121, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 159, 223, 145, 209)(137, 201, 147, 211, 163, 227, 149, 213)(141, 205, 153, 217, 171, 235, 154, 218)(142, 206, 155, 219, 172, 236, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(148, 212, 164, 228, 181, 245, 165, 229)(150, 214, 166, 230, 182, 246, 168, 232)(152, 216, 169, 233, 185, 249, 170, 234)(156, 220, 173, 237, 186, 250, 174, 238)(158, 222, 175, 239, 187, 251, 177, 241)(160, 224, 178, 242, 190, 254, 179, 243)(167, 231, 183, 247, 191, 255, 184, 248)(176, 240, 188, 252, 192, 256, 189, 253)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 159)(16, 134)(17, 136)(18, 160)(19, 164)(20, 137)(21, 165)(22, 167)(23, 138)(24, 141)(25, 169)(26, 170)(27, 173)(28, 142)(29, 174)(30, 176)(31, 143)(32, 146)(33, 178)(34, 179)(35, 181)(36, 147)(37, 149)(38, 183)(39, 150)(40, 184)(41, 153)(42, 154)(43, 185)(44, 186)(45, 155)(46, 157)(47, 188)(48, 158)(49, 189)(50, 161)(51, 162)(52, 190)(53, 163)(54, 191)(55, 166)(56, 168)(57, 171)(58, 172)(59, 192)(60, 175)(61, 177)(62, 180)(63, 182)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^2)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y1 * Y2^-2 * Y1, Y1 * Y2^-2 * Y1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 40, 104)(18, 82, 38, 102)(19, 83, 44, 108)(20, 84, 46, 110)(22, 86, 49, 113)(23, 87, 50, 114)(25, 89, 39, 103)(27, 91, 42, 106)(28, 92, 41, 105)(29, 93, 43, 107)(31, 95, 57, 121)(33, 97, 51, 115)(34, 98, 48, 112)(36, 100, 37, 101)(45, 109, 64, 128)(47, 111, 58, 122)(52, 116, 60, 124)(53, 117, 59, 123)(54, 118, 61, 125)(55, 119, 62, 126)(56, 120, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 169, 233, 148, 212)(137, 201, 151, 215, 179, 243, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 185, 249, 164, 228)(144, 208, 165, 229, 186, 250, 167, 231)(146, 210, 170, 234, 150, 214, 171, 235)(149, 213, 176, 240, 192, 256, 178, 242)(152, 216, 181, 245, 160, 224, 182, 246)(154, 218, 175, 239, 191, 255, 173, 237)(158, 222, 180, 244, 163, 227, 183, 247)(159, 223, 168, 232, 161, 225, 184, 248)(166, 230, 188, 252, 174, 238, 189, 253)(172, 236, 187, 251, 177, 241, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 169)(18, 134)(19, 173)(20, 175)(21, 177)(22, 136)(23, 180)(24, 137)(25, 183)(26, 170)(27, 138)(28, 168)(29, 184)(30, 185)(31, 140)(32, 179)(33, 141)(34, 182)(35, 142)(36, 181)(37, 187)(38, 144)(39, 190)(40, 156)(41, 145)(42, 154)(43, 191)(44, 192)(45, 147)(46, 186)(47, 148)(48, 189)(49, 149)(50, 188)(51, 160)(52, 151)(53, 164)(54, 162)(55, 153)(56, 157)(57, 158)(58, 174)(59, 165)(60, 178)(61, 176)(62, 167)(63, 171)(64, 172)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, Y3^4, (R * Y1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (Y3 * Y2^-2)^2, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y2 * Y3)^2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1, Y3^2 * Y2^2 * Y1 * Y2^-2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 33, 97)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 34, 98)(20, 84, 29, 93)(21, 85, 25, 89)(22, 86, 31, 95)(24, 88, 52, 116)(35, 99, 64, 128)(36, 100, 51, 115)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 60, 124)(42, 106, 59, 123)(43, 107, 58, 122)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 62, 126)(47, 111, 61, 125)(48, 112, 63, 127)(49, 113, 50, 114)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 166)(13, 169)(14, 131)(15, 173)(16, 134)(17, 175)(18, 157)(19, 174)(20, 133)(21, 151)(22, 158)(23, 143)(24, 181)(25, 184)(26, 135)(27, 188)(28, 138)(29, 190)(30, 145)(31, 189)(32, 137)(33, 139)(34, 146)(35, 186)(36, 185)(37, 182)(38, 180)(39, 140)(40, 178)(41, 142)(42, 191)(43, 192)(44, 179)(45, 149)(46, 148)(47, 150)(48, 187)(49, 183)(50, 171)(51, 170)(52, 167)(53, 165)(54, 152)(55, 163)(56, 154)(57, 176)(58, 177)(59, 164)(60, 161)(61, 160)(62, 162)(63, 172)(64, 168)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1221
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, (R * Y2 * Y3)^2, Y2^-1 * Y3 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y1, (Y2 * Y3 * Y2 * Y1)^2, Y2^2 * Y1 * Y3 * Y2^2 * Y3 * Y1, Y2 * Y3 * Y2^2 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2^-1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^4, (Y2 * Y3 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 33, 97)(15, 79, 36, 100)(17, 81, 43, 107)(18, 82, 41, 105)(19, 83, 47, 111)(20, 84, 50, 114)(22, 86, 53, 117)(23, 87, 54, 118)(25, 89, 42, 106)(27, 91, 48, 112)(28, 92, 56, 120)(29, 93, 46, 110)(31, 95, 44, 108)(32, 96, 59, 123)(34, 98, 58, 122)(35, 99, 52, 116)(37, 101, 40, 104)(38, 102, 55, 119)(39, 103, 45, 109)(49, 113, 62, 126)(51, 115, 61, 125)(57, 121, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(135, 199, 147, 211, 176, 240, 148, 212)(137, 201, 151, 215, 179, 243, 153, 217)(139, 203, 156, 220, 178, 242, 157, 221)(142, 206, 163, 227, 177, 241, 165, 229)(143, 207, 166, 230, 175, 239, 167, 231)(144, 208, 168, 232, 162, 226, 170, 234)(146, 210, 173, 237, 161, 225, 174, 238)(149, 213, 180, 244, 160, 224, 182, 246)(150, 214, 183, 247, 158, 222, 184, 248)(152, 216, 172, 236, 164, 228, 185, 249)(154, 218, 186, 250, 191, 255, 187, 251)(155, 219, 181, 245, 188, 252, 169, 233)(171, 235, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 160)(13, 162)(14, 164)(15, 133)(16, 169)(17, 172)(18, 134)(19, 177)(20, 179)(21, 181)(22, 136)(23, 173)(24, 137)(25, 183)(26, 176)(27, 138)(28, 168)(29, 180)(30, 187)(31, 171)(32, 140)(33, 186)(34, 141)(35, 174)(36, 142)(37, 184)(38, 170)(39, 182)(40, 156)(41, 144)(42, 166)(43, 159)(44, 145)(45, 151)(46, 163)(47, 190)(48, 154)(49, 147)(50, 189)(51, 148)(52, 157)(53, 149)(54, 167)(55, 153)(56, 165)(57, 191)(58, 161)(59, 158)(60, 192)(61, 178)(62, 175)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1219
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y3^4, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1 * Y3, Y2 * Y3^-2 * Y2 * Y1 * Y2^-2 * Y1, (Y2 * Y3^-1)^4, (Y3^-1 * Y2 * Y3 * Y2)^2, Y2 * Y1 * Y2^2 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 27, 91)(14, 78, 33, 97)(15, 79, 25, 89)(16, 80, 28, 92)(17, 81, 31, 95)(19, 83, 29, 93)(20, 84, 34, 98)(21, 85, 26, 90)(22, 86, 32, 96)(24, 88, 52, 116)(35, 99, 64, 128)(36, 100, 51, 115)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 55, 119)(41, 105, 60, 124)(42, 106, 59, 123)(43, 107, 58, 122)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 62, 126)(47, 111, 61, 125)(48, 112, 63, 127)(49, 113, 50, 114)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 190, 254, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 188, 252, 177, 241)(151, 215, 178, 242, 175, 239, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 173, 237, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 161)(12, 166)(13, 169)(14, 131)(15, 151)(16, 134)(17, 158)(18, 162)(19, 174)(20, 133)(21, 173)(22, 175)(23, 149)(24, 181)(25, 184)(26, 135)(27, 139)(28, 138)(29, 146)(30, 150)(31, 189)(32, 137)(33, 188)(34, 190)(35, 183)(36, 187)(37, 182)(38, 180)(39, 140)(40, 192)(41, 142)(42, 179)(43, 178)(44, 191)(45, 143)(46, 148)(47, 145)(48, 185)(49, 186)(50, 168)(51, 172)(52, 167)(53, 165)(54, 152)(55, 177)(56, 154)(57, 164)(58, 163)(59, 176)(60, 155)(61, 160)(62, 157)(63, 170)(64, 171)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1220
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1218 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y1 * Y2 * Y3)^2, (Y2 * Y1 * Y2^-1 * Y3)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 19, 83)(12, 76, 18, 82)(13, 77, 22, 86)(15, 79, 20, 84)(17, 81, 36, 100)(23, 87, 42, 106)(24, 88, 35, 99)(26, 90, 40, 104)(27, 91, 44, 108)(28, 92, 39, 103)(29, 93, 37, 101)(30, 94, 41, 105)(31, 95, 34, 98)(32, 96, 43, 107)(33, 97, 38, 102)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 59, 123)(48, 112, 58, 122)(49, 113, 60, 124)(50, 114, 56, 120)(51, 115, 55, 119)(52, 116, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 147)(10, 154)(11, 131)(12, 144)(13, 149)(14, 148)(15, 133)(16, 140)(17, 165)(18, 134)(19, 137)(20, 142)(21, 141)(22, 136)(23, 172)(24, 167)(25, 168)(26, 138)(27, 170)(28, 163)(29, 164)(30, 171)(31, 166)(32, 169)(33, 162)(34, 161)(35, 156)(36, 157)(37, 145)(38, 159)(39, 152)(40, 153)(41, 160)(42, 155)(43, 158)(44, 151)(45, 184)(46, 186)(47, 188)(48, 181)(49, 187)(50, 182)(51, 185)(52, 183)(53, 176)(54, 178)(55, 180)(56, 173)(57, 179)(58, 174)(59, 177)(60, 175)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1222
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1219 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, (Y2 * Y3 * Y2^-1 * Y1)^2, (Y2^-1 * Y1 * Y2 * Y1)^2, Y2 * Y3 * Y2^2 * Y1 * Y3 * Y2 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 43, 107)(20, 84, 46, 110)(22, 86, 48, 112)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 41, 105)(28, 92, 42, 106)(30, 94, 44, 108)(31, 95, 54, 118)(33, 97, 56, 120)(35, 99, 49, 113)(36, 100, 50, 114)(45, 109, 61, 125)(47, 111, 63, 127)(51, 115, 58, 122)(52, 116, 59, 123)(53, 117, 60, 124)(55, 119, 62, 126)(57, 121, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 172, 236, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 176, 240, 156, 220)(143, 207, 163, 227, 166, 230, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(146, 210, 169, 233, 162, 226, 170, 234)(150, 214, 177, 241, 152, 216, 178, 242)(154, 218, 174, 238, 186, 250, 171, 235)(157, 221, 168, 232, 160, 224, 179, 243)(159, 223, 183, 247, 191, 255, 181, 245)(161, 225, 185, 249, 189, 253, 180, 244)(173, 237, 190, 254, 184, 248, 188, 252)(175, 239, 192, 256, 182, 246, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 168)(18, 134)(19, 173)(20, 175)(21, 176)(22, 136)(23, 172)(24, 137)(25, 179)(26, 138)(27, 180)(28, 181)(29, 182)(30, 165)(31, 140)(32, 184)(33, 141)(34, 142)(35, 185)(36, 183)(37, 158)(38, 144)(39, 186)(40, 145)(41, 187)(42, 188)(43, 189)(44, 151)(45, 147)(46, 191)(47, 148)(48, 149)(49, 192)(50, 190)(51, 153)(52, 155)(53, 156)(54, 157)(55, 164)(56, 160)(57, 163)(58, 167)(59, 169)(60, 170)(61, 171)(62, 178)(63, 174)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1216
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1220 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y2 * Y1 * Y2^-1 * Y1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 23, 87)(13, 77, 22, 86)(14, 78, 29, 93)(15, 79, 25, 89)(16, 80, 30, 94)(17, 81, 28, 92)(18, 82, 27, 91)(19, 83, 24, 88)(20, 84, 26, 90)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 48, 112)(34, 98, 46, 110)(35, 99, 49, 113)(36, 100, 45, 109)(37, 101, 47, 111)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 54, 118)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(58, 122, 63, 127)(59, 123, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 160, 224, 144, 208)(134, 198, 147, 211, 159, 223, 148, 212)(136, 200, 152, 216, 172, 236, 154, 218)(138, 202, 157, 221, 171, 235, 158, 222)(140, 204, 161, 225, 146, 210, 163, 227)(141, 205, 164, 228, 145, 209, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 156, 220, 175, 239)(151, 215, 176, 240, 155, 219, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 185, 249, 170, 234, 186, 250)(167, 231, 184, 248, 169, 233, 187, 251)(178, 242, 190, 254, 182, 246, 191, 255)(179, 243, 189, 253, 181, 245, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1217
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1221 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, Y3^4, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y2^-2 * Y1)^2, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2 * R * Y3^2 * Y1 * R * Y2^-1 * Y1, Y2 * R * Y2^-2 * Y1 * R * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 25, 89)(14, 78, 26, 90)(15, 79, 27, 91)(16, 80, 28, 92)(17, 81, 29, 93)(19, 83, 31, 95)(20, 84, 32, 96)(21, 85, 33, 97)(22, 86, 34, 98)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 51, 115)(39, 103, 52, 116)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(45, 109, 55, 119)(57, 121, 61, 125)(58, 122, 62, 126)(59, 123, 63, 127)(60, 124, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 164, 228, 150, 214)(136, 200, 155, 219, 176, 240, 157, 221)(138, 202, 161, 225, 175, 239, 162, 226)(139, 203, 163, 227, 146, 210, 156, 220)(141, 205, 166, 230, 148, 212, 167, 231)(142, 206, 168, 232, 147, 211, 169, 233)(144, 208, 151, 215, 174, 238, 158, 222)(153, 217, 177, 241, 160, 224, 178, 242)(154, 218, 179, 243, 159, 223, 180, 244)(170, 234, 186, 250, 173, 237, 187, 251)(171, 235, 185, 249, 172, 236, 188, 252)(181, 245, 190, 254, 184, 248, 191, 255)(182, 246, 189, 253, 183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 154)(12, 164)(13, 151)(14, 131)(15, 170)(16, 134)(17, 172)(18, 160)(19, 158)(20, 133)(21, 171)(22, 173)(23, 142)(24, 175)(25, 139)(26, 135)(27, 181)(28, 138)(29, 183)(30, 148)(31, 146)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1215
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1222 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2 * Y3)^2, (Y2^-1 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 6, 70)(4, 68, 7, 71)(5, 69, 8, 72)(9, 73, 14, 78)(10, 74, 15, 79)(11, 75, 16, 80)(12, 76, 17, 81)(13, 77, 18, 82)(19, 83, 27, 91)(20, 84, 28, 92)(21, 85, 29, 93)(22, 86, 30, 94)(23, 87, 31, 95)(24, 88, 32, 96)(25, 89, 33, 97)(26, 90, 34, 98)(35, 99, 44, 108)(36, 100, 45, 109)(37, 101, 46, 110)(38, 102, 47, 111)(39, 103, 48, 112)(40, 104, 49, 113)(41, 105, 50, 114)(42, 106, 51, 115)(43, 107, 52, 116)(53, 117, 58, 122)(54, 118, 59, 123)(55, 119, 60, 124)(56, 120, 61, 125)(57, 121, 62, 126)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 171, 235, 154, 218)(143, 207, 156, 220, 174, 238, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 169, 233, 182, 246, 167, 231)(152, 216, 170, 234, 183, 247, 166, 230)(155, 219, 172, 236, 186, 250, 173, 237)(159, 223, 178, 242, 187, 251, 176, 240)(160, 224, 179, 243, 188, 252, 175, 239)(168, 232, 184, 248, 191, 255, 185, 249)(177, 241, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 170)(26, 169)(27, 142)(28, 175)(29, 176)(30, 177)(31, 144)(32, 145)(33, 179)(34, 178)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 154)(42, 153)(43, 185)(44, 187)(45, 188)(46, 189)(47, 156)(48, 157)(49, 158)(50, 162)(51, 161)(52, 190)(53, 191)(54, 163)(55, 164)(56, 165)(57, 171)(58, 192)(59, 172)(60, 173)(61, 174)(62, 180)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1218
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1223 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C2) : C2) : C2) (small group id <64, 90>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (Y2 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y2^4, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, Y3^4, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2 * Y3^2 * Y1^-1, Y1^-1 * Y2^-1 * Y3^-2 * Y2 * Y1^-1, Y2^-1 * R * Y2 * R * Y3^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2 * Y3 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 38, 102, 11, 75)(4, 68, 17, 81, 28, 92, 12, 76)(6, 70, 20, 84, 49, 113, 24, 88)(7, 71, 21, 85, 30, 94, 10, 74)(9, 73, 31, 95, 57, 121, 29, 93)(14, 78, 43, 107, 54, 118, 41, 105)(15, 79, 39, 103, 58, 122, 42, 106)(16, 80, 37, 101, 26, 90, 35, 99)(18, 82, 33, 97, 23, 87, 47, 111)(19, 83, 36, 100, 56, 120, 48, 112)(22, 86, 27, 91, 53, 117, 51, 115)(25, 89, 40, 104, 55, 119, 34, 98)(32, 96, 60, 124, 50, 114, 59, 123)(44, 108, 61, 125, 52, 116, 64, 128)(45, 109, 62, 126, 46, 110, 63, 127)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 160, 224, 139, 203)(132, 196, 146, 210, 174, 238, 144, 208)(133, 197, 148, 212, 178, 242, 150, 214)(135, 199, 151, 215, 180, 244, 154, 218)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 163, 227, 191, 255, 162, 226)(140, 204, 165, 229, 192, 256, 168, 232)(141, 205, 164, 228, 185, 249, 169, 233)(143, 207, 156, 220, 183, 247, 173, 237)(145, 209, 167, 231, 189, 253, 175, 239)(147, 211, 166, 230, 188, 252, 177, 241)(149, 213, 170, 234, 190, 254, 161, 225)(152, 216, 171, 235, 181, 245, 176, 240)(153, 217, 172, 236, 186, 250, 158, 222)(159, 223, 184, 248, 179, 243, 187, 251)
	L = (1, 132)(2, 138)(3, 143)(4, 147)(5, 149)(6, 151)(7, 129)(8, 156)(9, 161)(10, 164)(11, 165)(12, 130)(13, 163)(14, 172)(15, 155)(16, 131)(17, 133)(18, 159)(19, 135)(20, 162)(21, 176)(22, 167)(23, 157)(24, 168)(25, 134)(26, 166)(27, 144)(28, 184)(29, 153)(30, 136)(31, 183)(32, 189)(33, 148)(34, 137)(35, 181)(36, 140)(37, 150)(38, 186)(39, 139)(40, 185)(41, 190)(42, 141)(43, 191)(44, 188)(45, 142)(46, 182)(47, 152)(48, 145)(49, 146)(50, 192)(51, 154)(52, 187)(53, 170)(54, 180)(55, 177)(56, 158)(57, 175)(58, 179)(59, 174)(60, 173)(61, 169)(62, 160)(63, 178)(64, 171)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1212
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1224 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y1^-2, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-2, Y1^-1 * Y2 * Y3 * Y1^-2 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1)^4, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1, Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 89, 25, 75, 11, 67)(4, 76, 12, 96, 32, 78, 14, 68)(7, 83, 19, 111, 47, 85, 21, 71)(8, 86, 22, 117, 53, 88, 24, 72)(10, 84, 20, 106, 42, 93, 29, 74)(13, 87, 23, 109, 45, 99, 35, 77)(15, 101, 37, 119, 55, 102, 38, 79)(16, 103, 39, 114, 50, 104, 40, 80)(17, 105, 41, 98, 34, 107, 43, 81)(18, 108, 44, 92, 28, 110, 46, 82)(26, 122, 58, 125, 61, 115, 51, 90)(27, 118, 54, 100, 36, 116, 52, 91)(30, 124, 60, 126, 62, 112, 48, 94)(31, 120, 56, 97, 33, 113, 49, 95)(57, 127, 63, 123, 59, 128, 64, 121)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 28)(11, 30)(12, 33)(14, 36)(16, 35)(18, 45)(19, 48)(20, 50)(21, 51)(22, 54)(24, 56)(25, 57)(27, 46)(29, 53)(31, 44)(32, 42)(34, 59)(37, 60)(38, 58)(39, 52)(40, 49)(41, 61)(43, 62)(47, 63)(55, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 91)(75, 95)(76, 90)(77, 98)(78, 94)(79, 93)(81, 106)(83, 113)(85, 116)(86, 112)(87, 119)(88, 115)(89, 109)(92, 123)(96, 121)(97, 107)(99, 111)(100, 105)(101, 120)(102, 118)(103, 124)(104, 122)(108, 125)(110, 126)(114, 128)(117, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1225 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y3, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y2 * Y1)^4, (Y3 * Y1)^4 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 45, 109, 19, 83)(9, 73, 26, 90, 52, 116, 27, 91)(12, 76, 31, 95, 46, 110, 32, 96)(13, 77, 33, 97, 60, 124, 34, 98)(15, 79, 37, 101, 44, 108, 38, 102)(16, 80, 39, 103, 59, 123, 40, 104)(17, 81, 42, 106, 36, 100, 43, 107)(20, 84, 47, 111, 30, 94, 48, 112)(21, 85, 49, 113, 64, 128, 50, 114)(23, 87, 53, 117, 28, 92, 54, 118)(24, 88, 55, 119, 63, 127, 56, 120)(25, 89, 57, 121, 35, 99, 58, 122)(41, 105, 61, 125, 51, 115, 62, 126)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 163)(144, 147)(150, 179)(153, 169)(154, 187)(155, 188)(156, 185)(157, 173)(158, 186)(159, 182)(160, 176)(161, 177)(162, 183)(164, 180)(165, 181)(166, 175)(167, 178)(168, 184)(170, 191)(171, 192)(172, 189)(174, 190)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 228)(207, 219)(209, 233)(210, 236)(211, 238)(212, 234)(214, 244)(215, 235)(221, 243)(223, 241)(224, 247)(225, 239)(226, 245)(227, 237)(229, 242)(230, 248)(231, 240)(232, 246)(249, 255)(250, 256)(251, 253)(252, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1227
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1226 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 526>$ (small group id <128, 526>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1), Y1^4, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 20, 84)(7, 71, 22, 86)(8, 72, 25, 89)(10, 74, 30, 94)(11, 75, 31, 95)(13, 77, 35, 99)(14, 78, 37, 101)(15, 79, 38, 102)(16, 80, 39, 103)(17, 81, 40, 104)(19, 83, 36, 100)(21, 85, 43, 107)(23, 87, 46, 110)(24, 88, 47, 111)(26, 90, 49, 113)(27, 91, 50, 114)(28, 92, 51, 115)(29, 93, 52, 116)(32, 96, 54, 118)(33, 97, 55, 119)(34, 98, 56, 120)(41, 105, 58, 122)(42, 106, 59, 123)(44, 108, 61, 125)(45, 109, 62, 126)(48, 112, 63, 127)(53, 117, 64, 128)(57, 121, 60, 124)(129, 130, 135, 133)(131, 136, 149, 141)(132, 142, 159, 144)(134, 138, 151, 147)(137, 154, 175, 156)(139, 152, 170, 160)(140, 155, 148, 162)(143, 164, 181, 163)(145, 158, 176, 153)(146, 169, 182, 161)(150, 172, 187, 173)(157, 174, 188, 171)(165, 183, 189, 179)(166, 185, 168, 184)(167, 186, 190, 177)(178, 192, 180, 191)(193, 195, 203, 198)(194, 200, 216, 202)(196, 207, 214, 209)(197, 205, 224, 211)(199, 213, 234, 215)(201, 219, 210, 221)(204, 225, 235, 220)(206, 228, 236, 222)(208, 227, 237, 217)(212, 233, 238, 218)(223, 245, 251, 240)(226, 246, 252, 239)(229, 249, 231, 244)(230, 241, 256, 243)(232, 250, 255, 247)(242, 253, 248, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1228
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1227 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3, Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y3, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (Y2 * Y1)^4, (Y3 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 45, 109, 173, 237, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 52, 116, 180, 244, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 46, 110, 174, 238, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 60, 124, 188, 252, 34, 98, 162, 226)(15, 79, 143, 207, 37, 101, 165, 229, 44, 108, 172, 236, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231, 59, 123, 187, 251, 40, 104, 168, 232)(17, 81, 145, 209, 42, 106, 170, 234, 36, 100, 164, 228, 43, 107, 171, 235)(20, 84, 148, 212, 47, 111, 175, 239, 30, 94, 158, 222, 48, 112, 176, 240)(21, 85, 149, 213, 49, 113, 177, 241, 64, 128, 192, 256, 50, 114, 178, 242)(23, 87, 151, 215, 53, 117, 181, 245, 28, 92, 156, 220, 54, 118, 182, 246)(24, 88, 152, 216, 55, 119, 183, 247, 63, 127, 191, 255, 56, 120, 184, 248)(25, 89, 153, 217, 57, 121, 185, 249, 35, 99, 163, 227, 58, 122, 186, 250)(41, 105, 169, 233, 61, 125, 189, 253, 51, 115, 179, 243, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 99)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 115)(23, 72)(24, 75)(25, 105)(26, 123)(27, 124)(28, 121)(29, 109)(30, 122)(31, 118)(32, 112)(33, 113)(34, 119)(35, 78)(36, 116)(37, 117)(38, 111)(39, 114)(40, 120)(41, 89)(42, 127)(43, 128)(44, 125)(45, 93)(46, 126)(47, 102)(48, 96)(49, 97)(50, 103)(51, 86)(52, 100)(53, 101)(54, 95)(55, 98)(56, 104)(57, 92)(58, 94)(59, 90)(60, 91)(61, 108)(62, 110)(63, 106)(64, 107)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 228)(143, 219)(144, 197)(145, 233)(146, 236)(147, 238)(148, 234)(149, 199)(150, 244)(151, 235)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 243)(158, 203)(159, 241)(160, 247)(161, 239)(162, 245)(163, 237)(164, 206)(165, 242)(166, 248)(167, 240)(168, 246)(169, 209)(170, 212)(171, 215)(172, 210)(173, 227)(174, 211)(175, 225)(176, 231)(177, 223)(178, 229)(179, 221)(180, 214)(181, 226)(182, 232)(183, 224)(184, 230)(185, 255)(186, 256)(187, 253)(188, 254)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1225
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1228 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 526>$ (small group id <128, 526>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2, Y1), Y1^4, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2^-2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 20, 84, 148, 212)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 25, 89, 153, 217)(10, 74, 138, 202, 30, 94, 158, 222)(11, 75, 139, 203, 31, 95, 159, 223)(13, 77, 141, 205, 35, 99, 163, 227)(14, 78, 142, 206, 37, 101, 165, 229)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231)(17, 81, 145, 209, 40, 104, 168, 232)(19, 83, 147, 211, 36, 100, 164, 228)(21, 85, 149, 213, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238)(24, 88, 152, 216, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(28, 92, 156, 220, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(32, 96, 160, 224, 54, 118, 182, 246)(33, 97, 161, 225, 55, 119, 183, 247)(34, 98, 162, 226, 56, 120, 184, 248)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(44, 108, 172, 236, 61, 125, 189, 253)(45, 109, 173, 237, 62, 126, 190, 254)(48, 112, 176, 240, 63, 127, 191, 255)(53, 117, 181, 245, 64, 128, 192, 256)(57, 121, 185, 249, 60, 124, 188, 252)
	L = (1, 66)(2, 71)(3, 72)(4, 78)(5, 65)(6, 74)(7, 69)(8, 85)(9, 90)(10, 87)(11, 88)(12, 91)(13, 67)(14, 95)(15, 100)(16, 68)(17, 94)(18, 105)(19, 70)(20, 98)(21, 77)(22, 108)(23, 83)(24, 106)(25, 81)(26, 111)(27, 84)(28, 73)(29, 110)(30, 112)(31, 80)(32, 75)(33, 82)(34, 76)(35, 79)(36, 117)(37, 119)(38, 121)(39, 122)(40, 120)(41, 118)(42, 96)(43, 93)(44, 123)(45, 86)(46, 124)(47, 92)(48, 89)(49, 103)(50, 128)(51, 101)(52, 127)(53, 99)(54, 97)(55, 125)(56, 102)(57, 104)(58, 126)(59, 109)(60, 107)(61, 115)(62, 113)(63, 114)(64, 116)(129, 195)(130, 200)(131, 203)(132, 207)(133, 205)(134, 193)(135, 213)(136, 216)(137, 219)(138, 194)(139, 198)(140, 225)(141, 224)(142, 228)(143, 214)(144, 227)(145, 196)(146, 221)(147, 197)(148, 233)(149, 234)(150, 209)(151, 199)(152, 202)(153, 208)(154, 212)(155, 210)(156, 204)(157, 201)(158, 206)(159, 245)(160, 211)(161, 235)(162, 246)(163, 237)(164, 236)(165, 249)(166, 241)(167, 244)(168, 250)(169, 238)(170, 215)(171, 220)(172, 222)(173, 217)(174, 218)(175, 226)(176, 223)(177, 256)(178, 253)(179, 230)(180, 229)(181, 251)(182, 252)(183, 232)(184, 254)(185, 231)(186, 255)(187, 240)(188, 239)(189, 248)(190, 242)(191, 247)(192, 243)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1226
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 1759>$ (small group id <128, 1759>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, Y2^4, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-1 * Y1)^4, Y3^-2 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 36, 100)(18, 82, 38, 102)(20, 84, 44, 108)(21, 85, 43, 107)(22, 86, 41, 105)(24, 88, 49, 113)(26, 90, 51, 115)(27, 91, 52, 116)(29, 93, 42, 106)(32, 96, 45, 109)(33, 97, 46, 110)(34, 98, 56, 120)(35, 99, 53, 117)(37, 101, 50, 114)(39, 103, 40, 104)(47, 111, 62, 126)(48, 112, 59, 123)(54, 118, 60, 124)(55, 119, 61, 125)(57, 121, 64, 128)(58, 122, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 141, 205, 160, 224, 144, 208)(134, 198, 142, 206, 161, 225, 146, 210)(136, 200, 149, 213, 173, 237, 152, 216)(138, 202, 150, 214, 174, 238, 154, 218)(139, 203, 155, 219, 181, 245, 157, 221)(143, 207, 162, 226, 172, 236, 163, 227)(145, 209, 165, 229, 184, 248, 167, 231)(147, 211, 168, 232, 187, 251, 170, 234)(151, 215, 175, 239, 159, 223, 176, 240)(153, 217, 178, 242, 190, 254, 180, 244)(156, 220, 182, 246, 164, 228, 185, 249)(158, 222, 183, 247, 166, 230, 186, 250)(169, 233, 188, 252, 177, 241, 191, 255)(171, 235, 189, 253, 179, 243, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 149)(8, 151)(9, 152)(10, 130)(11, 156)(12, 160)(13, 162)(14, 131)(15, 134)(16, 163)(17, 166)(18, 133)(19, 169)(20, 173)(21, 175)(22, 135)(23, 138)(24, 176)(25, 179)(26, 137)(27, 182)(28, 184)(29, 185)(30, 139)(31, 174)(32, 172)(33, 140)(34, 142)(35, 146)(36, 145)(37, 186)(38, 181)(39, 183)(40, 188)(41, 190)(42, 191)(43, 147)(44, 161)(45, 159)(46, 148)(47, 150)(48, 154)(49, 153)(50, 192)(51, 187)(52, 189)(53, 164)(54, 167)(55, 155)(56, 158)(57, 165)(58, 157)(59, 177)(60, 180)(61, 168)(62, 171)(63, 178)(64, 170)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 91>)
Aut   = $<128, 1757>$ (small group id <128, 1757>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y3^-1, (Y2^-1 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 36, 100)(18, 82, 39, 103)(20, 84, 44, 108)(21, 85, 43, 107)(22, 86, 41, 105)(24, 88, 49, 113)(26, 90, 52, 116)(27, 91, 51, 115)(29, 93, 42, 106)(32, 96, 45, 109)(33, 97, 46, 110)(34, 98, 56, 120)(35, 99, 53, 117)(37, 101, 50, 114)(38, 102, 40, 104)(47, 111, 62, 126)(48, 112, 59, 123)(54, 118, 60, 124)(55, 119, 61, 125)(57, 121, 64, 128)(58, 122, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 160, 224, 144, 208)(134, 198, 141, 205, 161, 225, 146, 210)(136, 200, 150, 214, 173, 237, 152, 216)(138, 202, 149, 213, 174, 238, 154, 218)(139, 203, 155, 219, 181, 245, 157, 221)(143, 207, 162, 226, 172, 236, 163, 227)(145, 209, 165, 229, 184, 248, 166, 230)(147, 211, 168, 232, 187, 251, 170, 234)(151, 215, 175, 239, 159, 223, 176, 240)(153, 217, 178, 242, 190, 254, 179, 243)(156, 220, 183, 247, 167, 231, 185, 249)(158, 222, 182, 246, 164, 228, 186, 250)(169, 233, 189, 253, 180, 244, 191, 255)(171, 235, 188, 252, 177, 241, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 149)(8, 151)(9, 154)(10, 130)(11, 156)(12, 160)(13, 162)(14, 131)(15, 134)(16, 133)(17, 164)(18, 163)(19, 169)(20, 173)(21, 175)(22, 135)(23, 138)(24, 137)(25, 177)(26, 176)(27, 182)(28, 184)(29, 186)(30, 139)(31, 174)(32, 172)(33, 140)(34, 142)(35, 144)(36, 181)(37, 185)(38, 183)(39, 145)(40, 188)(41, 190)(42, 192)(43, 147)(44, 161)(45, 159)(46, 148)(47, 150)(48, 152)(49, 187)(50, 191)(51, 189)(52, 153)(53, 167)(54, 166)(55, 155)(56, 158)(57, 157)(58, 165)(59, 180)(60, 179)(61, 168)(62, 171)(63, 170)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1231 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2)^4, (Y2 * Y1 * Y2 * Y3 * Y2 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 87, 23, 99, 35, 92, 28, 74)(13, 84, 20, 100, 36, 97, 33, 77)(25, 106, 42, 93, 29, 108, 44, 89)(26, 102, 38, 94, 30, 105, 41, 90)(27, 109, 45, 116, 52, 111, 47, 91)(31, 101, 37, 98, 34, 104, 40, 95)(32, 113, 49, 117, 53, 114, 50, 96)(39, 118, 54, 115, 51, 120, 56, 103)(43, 121, 57, 112, 48, 122, 58, 107)(46, 119, 55, 126, 62, 124, 60, 110)(59, 127, 63, 125, 61, 128, 64, 123)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 26)(14, 30)(16, 28)(18, 36)(19, 37)(20, 39)(21, 40)(22, 38)(24, 41)(31, 49)(32, 46)(33, 51)(34, 50)(35, 52)(42, 57)(43, 55)(44, 58)(45, 59)(47, 61)(48, 60)(53, 62)(54, 63)(56, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 95)(77, 96)(78, 98)(79, 97)(81, 99)(83, 102)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(91, 110)(92, 112)(93, 111)(100, 117)(101, 118)(103, 119)(104, 120)(113, 123)(114, 125)(115, 124)(116, 126)(121, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1232 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 48, 112, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 55, 119, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 45, 109, 59, 123, 46, 110)(28, 92, 50, 114, 30, 94, 51, 115)(35, 99, 52, 116, 62, 126, 53, 117)(38, 102, 57, 121, 40, 104, 58, 122)(47, 111, 60, 124, 49, 113, 61, 125)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 150)(144, 147)(153, 163)(154, 175)(155, 177)(156, 173)(157, 176)(158, 174)(159, 178)(160, 179)(161, 171)(162, 172)(164, 182)(165, 184)(166, 180)(167, 183)(168, 181)(169, 185)(170, 186)(187, 190)(188, 191)(189, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 221)(207, 219)(209, 227)(210, 230)(211, 232)(212, 228)(214, 231)(215, 229)(223, 235)(224, 236)(225, 233)(226, 234)(237, 246)(238, 248)(239, 244)(240, 251)(241, 245)(242, 252)(243, 253)(247, 254)(249, 255)(250, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1234
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1233 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 518>$ (small group id <128, 518>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y2^4, Y1^4, R * Y2 * R * Y1, Y2^2 * Y1^-2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2^-2 * Y3 * Y1^2, (Y1 * Y3 * Y2^-1)^2, (Y2^-1 * Y3 * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 19, 83)(7, 71, 20, 84)(8, 72, 22, 86)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 34, 98)(14, 78, 35, 99)(15, 79, 36, 100)(16, 80, 37, 101)(17, 81, 38, 102)(21, 85, 40, 104)(23, 87, 44, 108)(24, 88, 45, 109)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 48, 112)(29, 93, 49, 113)(31, 95, 52, 116)(32, 96, 53, 117)(33, 97, 54, 118)(39, 103, 55, 119)(41, 105, 58, 122)(42, 106, 59, 123)(43, 107, 60, 124)(50, 114, 61, 125)(51, 115, 62, 126)(56, 120, 63, 127)(57, 121, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 148, 144)(136, 149, 138, 151)(137, 152, 146, 154)(140, 153, 147, 155)(143, 150, 145, 156)(157, 167, 159, 169)(158, 178, 162, 179)(160, 177, 161, 180)(163, 181, 165, 182)(164, 174, 166, 176)(168, 184, 172, 185)(170, 183, 171, 186)(173, 187, 175, 188)(189, 191, 190, 192)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 212, 209)(201, 217, 210, 219)(203, 221, 205, 223)(204, 224, 211, 225)(206, 222, 208, 226)(213, 231, 215, 233)(214, 234, 220, 235)(216, 232, 218, 236)(227, 238, 229, 240)(228, 237, 230, 239)(241, 248, 244, 249)(242, 247, 243, 250)(245, 253, 246, 254)(251, 255, 252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1235
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1234 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 731>$ (small group id <128, 731>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 48, 112, 176, 240, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 55, 119, 183, 247, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 45, 109, 173, 237, 59, 123, 187, 251, 46, 110, 174, 238)(28, 92, 156, 220, 50, 114, 178, 242, 30, 94, 158, 222, 51, 115, 179, 243)(35, 99, 163, 227, 52, 116, 180, 244, 62, 126, 190, 254, 53, 117, 181, 245)(38, 102, 166, 230, 57, 121, 185, 249, 40, 104, 168, 232, 58, 122, 186, 250)(47, 111, 175, 239, 60, 124, 188, 252, 49, 113, 177, 241, 61, 125, 189, 253)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 86)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 78)(23, 72)(24, 75)(25, 99)(26, 111)(27, 113)(28, 109)(29, 112)(30, 110)(31, 114)(32, 115)(33, 107)(34, 108)(35, 89)(36, 118)(37, 120)(38, 116)(39, 119)(40, 117)(41, 121)(42, 122)(43, 97)(44, 98)(45, 92)(46, 94)(47, 90)(48, 93)(49, 91)(50, 95)(51, 96)(52, 102)(53, 104)(54, 100)(55, 103)(56, 101)(57, 105)(58, 106)(59, 126)(60, 127)(61, 128)(62, 123)(63, 124)(64, 125)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 221)(143, 219)(144, 197)(145, 227)(146, 230)(147, 232)(148, 228)(149, 199)(150, 231)(151, 229)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 206)(158, 203)(159, 235)(160, 236)(161, 233)(162, 234)(163, 209)(164, 212)(165, 215)(166, 210)(167, 214)(168, 211)(169, 225)(170, 226)(171, 223)(172, 224)(173, 246)(174, 248)(175, 244)(176, 251)(177, 245)(178, 252)(179, 253)(180, 239)(181, 241)(182, 237)(183, 254)(184, 238)(185, 255)(186, 256)(187, 240)(188, 242)(189, 243)(190, 247)(191, 249)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1232
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1235 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 518>$ (small group id <128, 518>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^2 * Y1^2, Y2^4, Y1^4, R * Y2 * R * Y1, Y2^2 * Y1^-2, (R * Y3)^2, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y3 * Y2^-2 * Y3 * Y1^2, (Y1 * Y3 * Y2^-1)^2, (Y2^-1 * Y3 * Y1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 19, 83, 147, 211)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 22, 86, 150, 214)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 30, 94, 158, 222)(13, 77, 141, 205, 34, 98, 162, 226)(14, 78, 142, 206, 35, 99, 163, 227)(15, 79, 143, 207, 36, 100, 164, 228)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 38, 102, 166, 230)(21, 85, 149, 213, 40, 104, 168, 232)(23, 87, 151, 215, 44, 108, 172, 236)(24, 88, 152, 216, 45, 109, 173, 237)(25, 89, 153, 217, 46, 110, 174, 238)(26, 90, 154, 218, 47, 111, 175, 239)(27, 91, 155, 219, 48, 112, 176, 240)(29, 93, 157, 221, 49, 113, 177, 241)(31, 95, 159, 223, 52, 116, 180, 244)(32, 96, 160, 224, 53, 117, 181, 245)(33, 97, 161, 225, 54, 118, 182, 246)(39, 103, 167, 231, 55, 119, 183, 247)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(43, 107, 171, 235, 60, 124, 188, 252)(50, 114, 178, 242, 61, 125, 189, 253)(51, 115, 179, 243, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255)(57, 121, 185, 249, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 85)(9, 88)(10, 87)(11, 70)(12, 89)(13, 67)(14, 84)(15, 86)(16, 68)(17, 92)(18, 90)(19, 91)(20, 80)(21, 74)(22, 81)(23, 72)(24, 82)(25, 83)(26, 73)(27, 76)(28, 79)(29, 103)(30, 114)(31, 105)(32, 113)(33, 116)(34, 115)(35, 117)(36, 110)(37, 118)(38, 112)(39, 95)(40, 120)(41, 93)(42, 119)(43, 122)(44, 121)(45, 123)(46, 102)(47, 124)(48, 100)(49, 97)(50, 98)(51, 94)(52, 96)(53, 101)(54, 99)(55, 107)(56, 108)(57, 104)(58, 106)(59, 111)(60, 109)(61, 127)(62, 128)(63, 126)(64, 125)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 217)(138, 194)(139, 221)(140, 224)(141, 223)(142, 222)(143, 212)(144, 226)(145, 196)(146, 219)(147, 225)(148, 209)(149, 231)(150, 234)(151, 233)(152, 232)(153, 210)(154, 236)(155, 201)(156, 235)(157, 205)(158, 208)(159, 203)(160, 211)(161, 204)(162, 206)(163, 238)(164, 237)(165, 240)(166, 239)(167, 215)(168, 218)(169, 213)(170, 220)(171, 214)(172, 216)(173, 230)(174, 229)(175, 228)(176, 227)(177, 248)(178, 247)(179, 250)(180, 249)(181, 253)(182, 254)(183, 243)(184, 244)(185, 241)(186, 242)(187, 255)(188, 256)(189, 246)(190, 245)(191, 252)(192, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1233
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1236 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, Y3^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^2 * Y2 * Y1, Y1 * Y2^-2 * Y3^-1 * Y1 * Y3 * Y2^-2 * Y3^-2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 47, 111)(29, 93, 52, 116)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 50, 114)(34, 98, 55, 119)(37, 101, 56, 120)(39, 103, 61, 125)(43, 107, 59, 123)(44, 108, 64, 128)(48, 112, 57, 121)(49, 113, 58, 122)(51, 115, 60, 124)(53, 117, 62, 126)(54, 118, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 150, 214, 169, 233, 152, 216)(138, 202, 149, 213, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 182, 246, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 191, 255, 172, 236)(156, 220, 177, 241, 163, 227, 179, 243)(158, 222, 176, 240, 164, 228, 181, 245)(166, 230, 186, 250, 173, 237, 188, 252)(168, 232, 185, 249, 174, 238, 190, 254)(175, 239, 192, 256, 180, 244, 187, 251)(178, 242, 184, 248, 183, 247, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 149)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 133)(17, 163)(18, 162)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 137)(25, 173)(26, 172)(27, 176)(28, 178)(29, 181)(30, 139)(31, 182)(32, 140)(33, 142)(34, 144)(35, 183)(36, 145)(37, 185)(38, 187)(39, 190)(40, 147)(41, 191)(42, 148)(43, 150)(44, 152)(45, 192)(46, 153)(47, 186)(48, 184)(49, 155)(50, 158)(51, 157)(52, 188)(53, 189)(54, 160)(55, 164)(56, 177)(57, 175)(58, 165)(59, 168)(60, 167)(61, 179)(62, 180)(63, 170)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1237 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C8 x C2) : C2) (small group id <64, 95>)
Aut   = $<128, 1728>$ (small group id <128, 1728>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y2)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 15, 79)(11, 75, 20, 84)(12, 76, 23, 87)(16, 80, 25, 89)(17, 81, 28, 92)(19, 83, 29, 93)(21, 85, 32, 96)(22, 86, 27, 91)(24, 88, 33, 97)(26, 90, 36, 100)(30, 94, 38, 102)(31, 95, 40, 104)(34, 98, 42, 106)(35, 99, 44, 108)(37, 101, 45, 109)(39, 103, 48, 112)(41, 105, 49, 113)(43, 107, 52, 116)(46, 110, 54, 118)(47, 111, 56, 120)(50, 114, 58, 122)(51, 115, 60, 124)(53, 117, 57, 121)(55, 119, 59, 123)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 155, 219, 145, 209)(137, 201, 147, 211, 141, 205, 149, 213)(142, 206, 152, 216, 146, 210, 154, 218)(148, 212, 158, 222, 151, 215, 159, 223)(153, 217, 162, 226, 156, 220, 163, 227)(157, 221, 165, 229, 160, 224, 167, 231)(161, 225, 169, 233, 164, 228, 171, 235)(166, 230, 174, 238, 168, 232, 175, 239)(170, 234, 178, 242, 172, 236, 179, 243)(173, 237, 181, 245, 176, 240, 183, 247)(177, 241, 185, 249, 180, 244, 187, 251)(182, 246, 189, 253, 184, 248, 190, 254)(186, 250, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 150)(11, 131)(12, 133)(13, 151)(14, 153)(15, 155)(16, 134)(17, 136)(18, 156)(19, 158)(20, 137)(21, 159)(22, 138)(23, 141)(24, 162)(25, 142)(26, 163)(27, 143)(28, 146)(29, 166)(30, 147)(31, 149)(32, 168)(33, 170)(34, 152)(35, 154)(36, 172)(37, 174)(38, 157)(39, 175)(40, 160)(41, 178)(42, 161)(43, 179)(44, 164)(45, 182)(46, 165)(47, 167)(48, 184)(49, 186)(50, 169)(51, 171)(52, 188)(53, 189)(54, 173)(55, 190)(56, 176)(57, 191)(58, 177)(59, 192)(60, 180)(61, 181)(62, 183)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1238 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y2 * Y1^-2)^2, (Y1 * Y3 * Y1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y3 * Y2, (Y2 * Y1 * Y3 * Y1^-1)^2, (Y1 * Y2 * Y1^-1 * Y3)^2, (Y2 * Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 84, 20, 99, 35, 92, 28, 74)(13, 87, 23, 100, 36, 97, 33, 77)(25, 109, 45, 93, 29, 110, 46, 89)(26, 106, 42, 94, 30, 108, 44, 90)(27, 111, 47, 118, 54, 113, 49, 91)(31, 102, 38, 98, 34, 105, 41, 95)(32, 115, 51, 119, 55, 116, 52, 96)(37, 120, 56, 104, 40, 121, 57, 101)(39, 122, 58, 114, 50, 124, 60, 103)(43, 125, 61, 117, 53, 126, 62, 107)(48, 123, 59, 128, 64, 127, 63, 112)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 34)(16, 33)(18, 36)(19, 37)(20, 39)(21, 40)(22, 42)(24, 44)(26, 47)(28, 50)(30, 49)(32, 48)(35, 54)(38, 58)(41, 60)(43, 59)(45, 61)(46, 62)(51, 57)(52, 56)(53, 63)(55, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 89)(77, 96)(78, 93)(79, 92)(81, 99)(83, 102)(85, 105)(86, 101)(87, 107)(88, 104)(91, 112)(95, 115)(97, 117)(98, 116)(100, 119)(103, 123)(106, 125)(108, 126)(109, 122)(110, 124)(111, 121)(113, 120)(114, 127)(118, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1239 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-2 * Y1)^2, (Y3^-2 * Y2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 25, 89, 10, 74)(6, 70, 16, 80, 36, 100, 17, 81)(11, 75, 29, 93, 14, 78, 30, 94)(12, 76, 31, 95, 15, 79, 32, 96)(18, 82, 40, 104, 21, 85, 41, 105)(19, 83, 42, 106, 22, 86, 43, 107)(23, 87, 46, 110, 26, 90, 47, 111)(24, 88, 48, 112, 27, 91, 49, 113)(28, 92, 51, 115, 33, 97, 52, 116)(34, 98, 54, 118, 37, 101, 55, 119)(35, 99, 56, 120, 38, 102, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(45, 109, 61, 125, 50, 114, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 151)(138, 154)(140, 156)(141, 148)(143, 161)(144, 162)(145, 165)(147, 167)(150, 172)(152, 173)(153, 164)(155, 178)(157, 176)(158, 177)(159, 174)(160, 175)(163, 181)(166, 186)(168, 184)(169, 185)(170, 182)(171, 183)(179, 187)(180, 188)(189, 191)(190, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 216)(202, 219)(203, 220)(205, 217)(206, 225)(208, 227)(209, 230)(210, 231)(212, 228)(213, 236)(215, 237)(218, 242)(221, 234)(222, 235)(223, 232)(224, 233)(226, 245)(229, 250)(238, 248)(239, 249)(240, 246)(241, 247)(243, 253)(244, 254)(251, 255)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1241
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1240 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 527>$ (small group id <128, 527>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, (Y1^-1 * Y3 * Y1^-1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 20, 84)(7, 71, 22, 86)(8, 72, 25, 89)(10, 74, 30, 94)(11, 75, 31, 95)(13, 77, 35, 99)(14, 78, 37, 101)(15, 79, 38, 102)(16, 80, 39, 103)(17, 81, 40, 104)(19, 83, 36, 100)(21, 85, 43, 107)(23, 87, 46, 110)(24, 88, 47, 111)(26, 90, 49, 113)(27, 91, 50, 114)(28, 92, 51, 115)(29, 93, 52, 116)(32, 96, 54, 118)(33, 97, 55, 119)(34, 98, 56, 120)(41, 105, 58, 122)(42, 106, 59, 123)(44, 108, 61, 125)(45, 109, 62, 126)(48, 112, 63, 127)(53, 117, 64, 128)(57, 121, 60, 124)(129, 130, 135, 133)(131, 136, 149, 141)(132, 142, 150, 144)(134, 138, 151, 147)(137, 154, 146, 156)(139, 152, 170, 160)(140, 161, 171, 157)(143, 164, 172, 158)(145, 163, 173, 153)(148, 169, 174, 155)(159, 181, 187, 176)(162, 182, 188, 175)(165, 185, 167, 184)(166, 183, 189, 180)(168, 186, 190, 178)(177, 192, 179, 191)(193, 195, 203, 198)(194, 200, 216, 202)(196, 207, 223, 209)(197, 205, 224, 211)(199, 213, 234, 215)(201, 219, 239, 221)(204, 218, 212, 226)(206, 228, 245, 227)(208, 222, 240, 217)(210, 233, 246, 225)(214, 236, 251, 237)(220, 238, 252, 235)(229, 242, 256, 244)(230, 249, 232, 243)(231, 250, 255, 247)(241, 253, 248, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1242
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1241 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-2 * Y1)^2, (Y3^-2 * Y2)^2, Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 25, 89, 153, 217, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 36, 100, 164, 228, 17, 81, 145, 209)(11, 75, 139, 203, 29, 93, 157, 221, 14, 78, 142, 206, 30, 94, 158, 222)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(18, 82, 146, 210, 40, 104, 168, 232, 21, 85, 149, 213, 41, 105, 169, 233)(19, 83, 147, 211, 42, 106, 170, 234, 22, 86, 150, 214, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238, 26, 90, 154, 218, 47, 111, 175, 239)(24, 88, 152, 216, 48, 112, 176, 240, 27, 91, 155, 219, 49, 113, 177, 241)(28, 92, 156, 220, 51, 115, 179, 243, 33, 97, 161, 225, 52, 116, 180, 244)(34, 98, 162, 226, 54, 118, 182, 246, 37, 101, 165, 229, 55, 119, 183, 247)(35, 99, 163, 227, 56, 120, 184, 248, 38, 102, 166, 230, 57, 121, 185, 249)(39, 103, 167, 231, 59, 123, 187, 251, 44, 108, 172, 236, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253, 50, 114, 178, 242, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255, 58, 122, 186, 250, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 87)(10, 90)(11, 68)(12, 92)(13, 84)(14, 69)(15, 97)(16, 98)(17, 101)(18, 71)(19, 103)(20, 77)(21, 72)(22, 108)(23, 73)(24, 109)(25, 100)(26, 74)(27, 114)(28, 76)(29, 112)(30, 113)(31, 110)(32, 111)(33, 79)(34, 80)(35, 117)(36, 89)(37, 81)(38, 122)(39, 83)(40, 120)(41, 121)(42, 118)(43, 119)(44, 86)(45, 88)(46, 95)(47, 96)(48, 93)(49, 94)(50, 91)(51, 123)(52, 124)(53, 99)(54, 106)(55, 107)(56, 104)(57, 105)(58, 102)(59, 115)(60, 116)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 216)(138, 219)(139, 220)(140, 196)(141, 217)(142, 225)(143, 197)(144, 227)(145, 230)(146, 231)(147, 199)(148, 228)(149, 236)(150, 200)(151, 237)(152, 201)(153, 205)(154, 242)(155, 202)(156, 203)(157, 234)(158, 235)(159, 232)(160, 233)(161, 206)(162, 245)(163, 208)(164, 212)(165, 250)(166, 209)(167, 210)(168, 223)(169, 224)(170, 221)(171, 222)(172, 213)(173, 215)(174, 248)(175, 249)(176, 246)(177, 247)(178, 218)(179, 253)(180, 254)(181, 226)(182, 240)(183, 241)(184, 238)(185, 239)(186, 229)(187, 255)(188, 256)(189, 243)(190, 244)(191, 251)(192, 252)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1239
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1242 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 527>$ (small group id <128, 527>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2^-1, Y1), Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y3 * Y1, (Y1^-1 * Y3 * Y1^-1)^2, (Y2^-1 * Y3 * Y2^-1)^2, Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 20, 84, 148, 212)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 25, 89, 153, 217)(10, 74, 138, 202, 30, 94, 158, 222)(11, 75, 139, 203, 31, 95, 159, 223)(13, 77, 141, 205, 35, 99, 163, 227)(14, 78, 142, 206, 37, 101, 165, 229)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231)(17, 81, 145, 209, 40, 104, 168, 232)(19, 83, 147, 211, 36, 100, 164, 228)(21, 85, 149, 213, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238)(24, 88, 152, 216, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(28, 92, 156, 220, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(32, 96, 160, 224, 54, 118, 182, 246)(33, 97, 161, 225, 55, 119, 183, 247)(34, 98, 162, 226, 56, 120, 184, 248)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(44, 108, 172, 236, 61, 125, 189, 253)(45, 109, 173, 237, 62, 126, 190, 254)(48, 112, 176, 240, 63, 127, 191, 255)(53, 117, 181, 245, 64, 128, 192, 256)(57, 121, 185, 249, 60, 124, 188, 252)
	L = (1, 66)(2, 71)(3, 72)(4, 78)(5, 65)(6, 74)(7, 69)(8, 85)(9, 90)(10, 87)(11, 88)(12, 97)(13, 67)(14, 86)(15, 100)(16, 68)(17, 99)(18, 92)(19, 70)(20, 105)(21, 77)(22, 80)(23, 83)(24, 106)(25, 81)(26, 82)(27, 84)(28, 73)(29, 76)(30, 79)(31, 117)(32, 75)(33, 107)(34, 118)(35, 109)(36, 108)(37, 121)(38, 119)(39, 120)(40, 122)(41, 110)(42, 96)(43, 93)(44, 94)(45, 89)(46, 91)(47, 98)(48, 95)(49, 128)(50, 104)(51, 127)(52, 102)(53, 123)(54, 124)(55, 125)(56, 101)(57, 103)(58, 126)(59, 112)(60, 111)(61, 116)(62, 114)(63, 113)(64, 115)(129, 195)(130, 200)(131, 203)(132, 207)(133, 205)(134, 193)(135, 213)(136, 216)(137, 219)(138, 194)(139, 198)(140, 218)(141, 224)(142, 228)(143, 223)(144, 222)(145, 196)(146, 233)(147, 197)(148, 226)(149, 234)(150, 236)(151, 199)(152, 202)(153, 208)(154, 212)(155, 239)(156, 238)(157, 201)(158, 240)(159, 209)(160, 211)(161, 210)(162, 204)(163, 206)(164, 245)(165, 242)(166, 249)(167, 250)(168, 243)(169, 246)(170, 215)(171, 220)(172, 251)(173, 214)(174, 252)(175, 221)(176, 217)(177, 253)(178, 256)(179, 230)(180, 229)(181, 227)(182, 225)(183, 231)(184, 254)(185, 232)(186, 255)(187, 237)(188, 235)(189, 248)(190, 241)(191, 247)(192, 244)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1240
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 47, 111)(29, 93, 52, 116)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 50, 114)(34, 98, 55, 119)(37, 101, 56, 120)(39, 103, 61, 125)(43, 107, 59, 123)(44, 108, 64, 128)(48, 112, 57, 121)(49, 113, 58, 122)(51, 115, 60, 124)(53, 117, 62, 126)(54, 118, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 141, 205, 159, 223, 144, 208)(134, 198, 142, 206, 160, 224, 146, 210)(136, 200, 149, 213, 169, 233, 152, 216)(138, 202, 150, 214, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 182, 246, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 191, 255, 172, 236)(156, 220, 176, 240, 164, 228, 179, 243)(158, 222, 177, 241, 163, 227, 181, 245)(166, 230, 185, 249, 174, 238, 188, 252)(168, 232, 186, 250, 173, 237, 190, 254)(175, 239, 192, 256, 180, 244, 187, 251)(178, 242, 184, 248, 183, 247, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 149)(8, 151)(9, 152)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 162)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 172)(25, 174)(26, 137)(27, 176)(28, 178)(29, 179)(30, 139)(31, 182)(32, 140)(33, 142)(34, 146)(35, 145)(36, 183)(37, 185)(38, 187)(39, 188)(40, 147)(41, 191)(42, 148)(43, 150)(44, 154)(45, 153)(46, 192)(47, 186)(48, 184)(49, 155)(50, 158)(51, 189)(52, 190)(53, 157)(54, 160)(55, 163)(56, 177)(57, 175)(58, 165)(59, 168)(60, 180)(61, 181)(62, 167)(63, 170)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 99>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (Y2^-2 * Y1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, (Y3 * Y2)^4, Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y3 * Y2^-1 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 45, 109)(25, 89, 49, 113)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 53, 117)(32, 96, 54, 118)(34, 98, 55, 119)(36, 100, 59, 123)(41, 105, 63, 127)(43, 107, 64, 128)(46, 110, 57, 121)(47, 111, 56, 120)(48, 112, 60, 124)(50, 114, 58, 122)(51, 115, 61, 125)(52, 116, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 175, 239, 161, 225, 176, 240)(157, 221, 174, 238, 159, 223, 178, 242)(158, 222, 179, 243, 160, 224, 180, 244)(163, 227, 185, 249, 172, 236, 186, 250)(168, 232, 184, 248, 170, 234, 188, 252)(169, 233, 189, 253, 171, 235, 190, 254)(173, 237, 192, 256, 177, 241, 191, 255)(181, 245, 183, 247, 182, 246, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 174)(24, 137)(25, 178)(26, 138)(27, 179)(28, 180)(29, 181)(30, 140)(31, 182)(32, 141)(33, 142)(34, 184)(35, 144)(36, 188)(37, 145)(38, 189)(39, 190)(40, 191)(41, 147)(42, 192)(43, 148)(44, 149)(45, 185)(46, 151)(47, 183)(48, 187)(49, 186)(50, 153)(51, 155)(52, 156)(53, 157)(54, 159)(55, 175)(56, 162)(57, 173)(58, 177)(59, 176)(60, 164)(61, 166)(62, 167)(63, 168)(64, 170)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1245 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-2 * Y2 * Y1^-2, (Y2 * Y1 * Y3 * Y1^-1)^2, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-2, Y2 * Y3 * Y1^2 * Y3 * Y2 * Y1^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 89, 25, 75, 11, 67)(4, 76, 12, 96, 32, 78, 14, 68)(7, 83, 19, 111, 47, 85, 21, 71)(8, 86, 22, 117, 53, 88, 24, 72)(10, 84, 20, 106, 42, 93, 29, 74)(13, 87, 23, 109, 45, 99, 35, 77)(15, 101, 37, 119, 55, 102, 38, 79)(16, 103, 39, 114, 50, 104, 40, 80)(17, 105, 41, 98, 34, 107, 43, 81)(18, 108, 44, 92, 28, 110, 46, 82)(26, 112, 48, 125, 61, 122, 58, 90)(27, 113, 49, 100, 36, 120, 56, 91)(30, 115, 51, 126, 62, 124, 60, 94)(31, 116, 52, 97, 33, 118, 54, 95)(57, 127, 63, 123, 59, 128, 64, 121)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 28)(11, 30)(12, 33)(14, 36)(16, 35)(18, 45)(19, 48)(20, 50)(21, 51)(22, 54)(24, 56)(25, 57)(27, 46)(29, 53)(31, 44)(32, 42)(34, 59)(37, 58)(38, 60)(39, 52)(40, 49)(41, 61)(43, 62)(47, 63)(55, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 91)(75, 95)(76, 90)(77, 98)(78, 94)(79, 93)(81, 106)(83, 113)(85, 116)(86, 112)(87, 119)(88, 115)(89, 109)(92, 123)(96, 121)(97, 107)(99, 111)(100, 105)(101, 120)(102, 118)(103, 122)(104, 124)(108, 125)(110, 126)(114, 128)(117, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1246 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1, Y2 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y1, Y3 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1, (Y2 * Y1)^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 45, 109, 19, 83)(9, 73, 26, 90, 52, 116, 27, 91)(12, 76, 31, 95, 60, 124, 32, 96)(13, 77, 33, 97, 46, 110, 34, 98)(15, 79, 37, 101, 59, 123, 38, 102)(16, 80, 39, 103, 44, 108, 40, 104)(17, 81, 42, 106, 36, 100, 43, 107)(20, 84, 47, 111, 64, 128, 48, 112)(21, 85, 49, 113, 30, 94, 50, 114)(23, 87, 53, 117, 63, 127, 54, 118)(24, 88, 55, 119, 28, 92, 56, 120)(25, 89, 57, 121, 35, 99, 58, 122)(41, 105, 61, 125, 51, 115, 62, 126)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 156)(139, 158)(141, 154)(142, 163)(144, 155)(146, 172)(147, 174)(149, 170)(150, 179)(152, 171)(153, 169)(157, 173)(159, 175)(160, 181)(161, 184)(162, 178)(164, 180)(165, 176)(166, 182)(167, 183)(168, 177)(185, 191)(186, 192)(187, 189)(188, 190)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 212)(203, 215)(204, 210)(206, 228)(207, 211)(209, 233)(214, 244)(218, 251)(219, 252)(220, 249)(221, 243)(222, 250)(223, 241)(224, 247)(225, 239)(226, 245)(227, 237)(229, 242)(230, 248)(231, 240)(232, 246)(234, 255)(235, 256)(236, 253)(238, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1248
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1247 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 521>$ (small group id <128, 521>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1, Y2), R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 20, 84)(7, 71, 22, 86)(8, 72, 25, 89)(10, 74, 30, 94)(11, 75, 31, 95)(13, 77, 35, 99)(14, 78, 37, 101)(15, 79, 38, 102)(16, 80, 39, 103)(17, 81, 40, 104)(19, 83, 36, 100)(21, 85, 43, 107)(23, 87, 46, 110)(24, 88, 47, 111)(26, 90, 49, 113)(27, 91, 50, 114)(28, 92, 51, 115)(29, 93, 52, 116)(32, 96, 54, 118)(33, 97, 55, 119)(34, 98, 56, 120)(41, 105, 57, 121)(42, 106, 58, 122)(44, 108, 60, 124)(45, 109, 61, 125)(48, 112, 62, 126)(53, 117, 63, 127)(59, 123, 64, 128)(129, 130, 135, 133)(131, 136, 149, 141)(132, 142, 159, 144)(134, 138, 151, 147)(137, 154, 175, 156)(139, 152, 170, 160)(140, 155, 148, 162)(143, 164, 181, 163)(145, 158, 176, 153)(146, 169, 182, 161)(150, 172, 186, 173)(157, 174, 187, 171)(165, 177, 188, 185)(166, 178, 168, 180)(167, 179, 189, 183)(184, 190, 192, 191)(193, 195, 203, 198)(194, 200, 216, 202)(196, 207, 214, 209)(197, 205, 224, 211)(199, 213, 234, 215)(201, 219, 210, 221)(204, 225, 235, 220)(206, 228, 236, 222)(208, 227, 237, 217)(212, 233, 238, 218)(223, 245, 250, 240)(226, 246, 251, 239)(229, 242, 231, 248)(230, 247, 255, 249)(232, 243, 254, 241)(244, 253, 256, 252)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1249
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1248 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 734>$ (small group id <128, 734>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1, Y2 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y1, Y3 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y1, (Y2 * Y1)^4, Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y3^-2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 45, 109, 173, 237, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 52, 116, 180, 244, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 60, 124, 188, 252, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 46, 110, 174, 238, 34, 98, 162, 226)(15, 79, 143, 207, 37, 101, 165, 229, 59, 123, 187, 251, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231, 44, 108, 172, 236, 40, 104, 168, 232)(17, 81, 145, 209, 42, 106, 170, 234, 36, 100, 164, 228, 43, 107, 171, 235)(20, 84, 148, 212, 47, 111, 175, 239, 64, 128, 192, 256, 48, 112, 176, 240)(21, 85, 149, 213, 49, 113, 177, 241, 30, 94, 158, 222, 50, 114, 178, 242)(23, 87, 151, 215, 53, 117, 181, 245, 63, 127, 191, 255, 54, 118, 182, 246)(24, 88, 152, 216, 55, 119, 183, 247, 28, 92, 156, 220, 56, 120, 184, 248)(25, 89, 153, 217, 57, 121, 185, 249, 35, 99, 163, 227, 58, 122, 186, 250)(41, 105, 169, 233, 61, 125, 189, 253, 51, 115, 179, 243, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 92)(11, 94)(12, 68)(13, 90)(14, 99)(15, 69)(16, 91)(17, 70)(18, 108)(19, 110)(20, 71)(21, 106)(22, 115)(23, 72)(24, 107)(25, 105)(26, 77)(27, 80)(28, 74)(29, 109)(30, 75)(31, 111)(32, 117)(33, 120)(34, 114)(35, 78)(36, 116)(37, 112)(38, 118)(39, 119)(40, 113)(41, 89)(42, 85)(43, 88)(44, 82)(45, 93)(46, 83)(47, 95)(48, 101)(49, 104)(50, 98)(51, 86)(52, 100)(53, 96)(54, 102)(55, 103)(56, 97)(57, 127)(58, 128)(59, 125)(60, 126)(61, 123)(62, 124)(63, 121)(64, 122)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 212)(139, 215)(140, 210)(141, 196)(142, 228)(143, 211)(144, 197)(145, 233)(146, 204)(147, 207)(148, 202)(149, 199)(150, 244)(151, 203)(152, 200)(153, 201)(154, 251)(155, 252)(156, 249)(157, 243)(158, 250)(159, 241)(160, 247)(161, 239)(162, 245)(163, 237)(164, 206)(165, 242)(166, 248)(167, 240)(168, 246)(169, 209)(170, 255)(171, 256)(172, 253)(173, 227)(174, 254)(175, 225)(176, 231)(177, 223)(178, 229)(179, 221)(180, 214)(181, 226)(182, 232)(183, 224)(184, 230)(185, 220)(186, 222)(187, 218)(188, 219)(189, 236)(190, 238)(191, 234)(192, 235)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1246
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1249 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 521>$ (small group id <128, 521>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y1, Y2), R * Y1 * R * Y2, (R * Y3)^2, Y2^4, Y1^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2^-1 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1 * Y3 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 20, 84, 148, 212)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 25, 89, 153, 217)(10, 74, 138, 202, 30, 94, 158, 222)(11, 75, 139, 203, 31, 95, 159, 223)(13, 77, 141, 205, 35, 99, 163, 227)(14, 78, 142, 206, 37, 101, 165, 229)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231)(17, 81, 145, 209, 40, 104, 168, 232)(19, 83, 147, 211, 36, 100, 164, 228)(21, 85, 149, 213, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238)(24, 88, 152, 216, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(28, 92, 156, 220, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(32, 96, 160, 224, 54, 118, 182, 246)(33, 97, 161, 225, 55, 119, 183, 247)(34, 98, 162, 226, 56, 120, 184, 248)(41, 105, 169, 233, 57, 121, 185, 249)(42, 106, 170, 234, 58, 122, 186, 250)(44, 108, 172, 236, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253)(48, 112, 176, 240, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255)(59, 123, 187, 251, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 72)(4, 78)(5, 65)(6, 74)(7, 69)(8, 85)(9, 90)(10, 87)(11, 88)(12, 91)(13, 67)(14, 95)(15, 100)(16, 68)(17, 94)(18, 105)(19, 70)(20, 98)(21, 77)(22, 108)(23, 83)(24, 106)(25, 81)(26, 111)(27, 84)(28, 73)(29, 110)(30, 112)(31, 80)(32, 75)(33, 82)(34, 76)(35, 79)(36, 117)(37, 113)(38, 114)(39, 115)(40, 116)(41, 118)(42, 96)(43, 93)(44, 122)(45, 86)(46, 123)(47, 92)(48, 89)(49, 124)(50, 104)(51, 125)(52, 102)(53, 99)(54, 97)(55, 103)(56, 126)(57, 101)(58, 109)(59, 107)(60, 121)(61, 119)(62, 128)(63, 120)(64, 127)(129, 195)(130, 200)(131, 203)(132, 207)(133, 205)(134, 193)(135, 213)(136, 216)(137, 219)(138, 194)(139, 198)(140, 225)(141, 224)(142, 228)(143, 214)(144, 227)(145, 196)(146, 221)(147, 197)(148, 233)(149, 234)(150, 209)(151, 199)(152, 202)(153, 208)(154, 212)(155, 210)(156, 204)(157, 201)(158, 206)(159, 245)(160, 211)(161, 235)(162, 246)(163, 237)(164, 236)(165, 242)(166, 247)(167, 248)(168, 243)(169, 238)(170, 215)(171, 220)(172, 222)(173, 217)(174, 218)(175, 226)(176, 223)(177, 232)(178, 231)(179, 254)(180, 253)(181, 250)(182, 251)(183, 255)(184, 229)(185, 230)(186, 240)(187, 239)(188, 244)(189, 256)(190, 241)(191, 249)(192, 252)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1247
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1250 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, Y2^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, Y2^-1 * Y1 * Y3^2 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y3 * Y1 * Y2^2 * Y3^-1 * Y1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 36, 100)(18, 82, 38, 102)(20, 84, 44, 108)(21, 85, 43, 107)(22, 86, 41, 105)(24, 88, 49, 113)(26, 90, 51, 115)(27, 91, 40, 104)(29, 93, 50, 114)(32, 96, 45, 109)(33, 97, 46, 110)(34, 98, 56, 120)(35, 99, 53, 117)(37, 101, 42, 106)(39, 103, 52, 116)(47, 111, 62, 126)(48, 112, 59, 123)(54, 118, 61, 125)(55, 119, 60, 124)(57, 121, 63, 127)(58, 122, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 141, 205, 160, 224, 144, 208)(134, 198, 142, 206, 161, 225, 146, 210)(136, 200, 149, 213, 173, 237, 152, 216)(138, 202, 150, 214, 174, 238, 154, 218)(139, 203, 155, 219, 181, 245, 157, 221)(143, 207, 162, 226, 172, 236, 163, 227)(145, 209, 165, 229, 184, 248, 167, 231)(147, 211, 168, 232, 187, 251, 170, 234)(151, 215, 175, 239, 159, 223, 176, 240)(153, 217, 178, 242, 190, 254, 180, 244)(156, 220, 182, 246, 164, 228, 185, 249)(158, 222, 183, 247, 166, 230, 186, 250)(169, 233, 188, 252, 177, 241, 191, 255)(171, 235, 189, 253, 179, 243, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 149)(8, 151)(9, 152)(10, 130)(11, 156)(12, 160)(13, 162)(14, 131)(15, 134)(16, 163)(17, 166)(18, 133)(19, 169)(20, 173)(21, 175)(22, 135)(23, 138)(24, 176)(25, 179)(26, 137)(27, 182)(28, 184)(29, 185)(30, 139)(31, 174)(32, 172)(33, 140)(34, 142)(35, 146)(36, 145)(37, 186)(38, 181)(39, 183)(40, 188)(41, 190)(42, 191)(43, 147)(44, 161)(45, 159)(46, 148)(47, 150)(48, 154)(49, 153)(50, 192)(51, 187)(52, 189)(53, 164)(54, 167)(55, 155)(56, 158)(57, 165)(58, 157)(59, 177)(60, 180)(61, 168)(62, 171)(63, 178)(64, 170)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1251 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C2) (small group id <64, 101>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y2^-2 * Y1)^4 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 22, 86)(11, 75, 20, 84)(12, 76, 24, 88)(15, 79, 30, 94)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 27, 91)(21, 85, 33, 97)(23, 87, 39, 103)(25, 89, 29, 93)(26, 90, 34, 98)(31, 95, 48, 112)(35, 99, 47, 111)(36, 100, 45, 109)(37, 101, 50, 114)(38, 102, 44, 108)(40, 104, 52, 116)(41, 105, 46, 110)(42, 106, 51, 115)(43, 107, 49, 113)(53, 117, 60, 124)(54, 118, 59, 123)(55, 119, 58, 122)(56, 120, 62, 126)(57, 121, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 151, 215, 140, 204)(135, 199, 144, 208, 159, 223, 145, 209)(137, 201, 147, 211, 163, 227, 149, 213)(141, 205, 153, 217, 171, 235, 154, 218)(142, 206, 155, 219, 172, 236, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(148, 212, 164, 228, 181, 245, 165, 229)(150, 214, 166, 230, 182, 246, 168, 232)(152, 216, 169, 233, 185, 249, 170, 234)(156, 220, 173, 237, 186, 250, 174, 238)(158, 222, 175, 239, 187, 251, 177, 241)(160, 224, 178, 242, 190, 254, 179, 243)(167, 231, 183, 247, 191, 255, 184, 248)(176, 240, 188, 252, 192, 256, 189, 253)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 151)(11, 131)(12, 133)(13, 152)(14, 156)(15, 159)(16, 134)(17, 136)(18, 160)(19, 164)(20, 137)(21, 165)(22, 167)(23, 138)(24, 141)(25, 169)(26, 170)(27, 173)(28, 142)(29, 174)(30, 176)(31, 143)(32, 146)(33, 178)(34, 179)(35, 181)(36, 147)(37, 149)(38, 183)(39, 150)(40, 184)(41, 153)(42, 154)(43, 185)(44, 186)(45, 155)(46, 157)(47, 188)(48, 158)(49, 189)(50, 161)(51, 162)(52, 190)(53, 163)(54, 191)(55, 166)(56, 168)(57, 171)(58, 172)(59, 192)(60, 175)(61, 177)(62, 180)(63, 182)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1252 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (Y3 * Y2)^2, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-2 * Y2 * Y3 * Y1^-2, Y2 * Y1^-2 * Y3 * Y1 * Y3 * Y2 * Y1, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 87, 23, 75, 11, 67)(4, 76, 12, 94, 30, 77, 13, 68)(7, 82, 18, 109, 45, 84, 20, 71)(8, 85, 21, 116, 52, 86, 22, 72)(10, 90, 26, 105, 41, 91, 27, 74)(14, 99, 35, 123, 59, 101, 37, 78)(15, 102, 38, 122, 58, 103, 39, 79)(16, 104, 40, 124, 60, 106, 42, 80)(17, 107, 43, 125, 61, 108, 44, 81)(19, 112, 48, 100, 36, 113, 49, 83)(24, 110, 46, 98, 34, 120, 56, 88)(25, 117, 53, 97, 33, 115, 51, 89)(28, 114, 50, 96, 32, 118, 54, 92)(29, 119, 55, 95, 31, 111, 47, 93)(57, 126, 62, 128, 64, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 28)(12, 31)(13, 33)(15, 36)(17, 41)(18, 46)(20, 50)(21, 53)(22, 55)(23, 57)(25, 44)(26, 58)(27, 52)(29, 43)(30, 48)(32, 42)(34, 40)(35, 56)(37, 54)(38, 51)(39, 47)(45, 62)(49, 61)(59, 63)(60, 64)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 89)(75, 93)(76, 96)(77, 98)(78, 100)(80, 105)(82, 111)(84, 115)(85, 118)(86, 120)(87, 112)(88, 108)(90, 123)(91, 109)(92, 107)(94, 121)(95, 106)(97, 104)(99, 119)(101, 117)(102, 114)(103, 110)(113, 124)(116, 126)(122, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1253 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 45, 109, 19, 83)(9, 73, 26, 90, 52, 116, 27, 91)(12, 76, 31, 95, 46, 110, 32, 96)(13, 77, 33, 97, 60, 124, 34, 98)(15, 79, 37, 101, 44, 108, 38, 102)(16, 80, 39, 103, 59, 123, 40, 104)(17, 81, 42, 106, 36, 100, 43, 107)(20, 84, 47, 111, 30, 94, 48, 112)(21, 85, 49, 113, 64, 128, 50, 114)(23, 87, 53, 117, 28, 92, 54, 118)(24, 88, 55, 119, 63, 127, 56, 120)(25, 89, 57, 121, 35, 99, 58, 122)(41, 105, 61, 125, 51, 115, 62, 126)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 163)(144, 147)(150, 179)(153, 169)(154, 187)(155, 188)(156, 185)(157, 173)(158, 186)(159, 175)(160, 181)(161, 184)(162, 178)(164, 180)(165, 176)(166, 182)(167, 183)(168, 177)(170, 191)(171, 192)(172, 189)(174, 190)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 228)(207, 219)(209, 233)(210, 236)(211, 238)(212, 234)(214, 244)(215, 235)(221, 243)(223, 248)(224, 242)(225, 246)(226, 240)(227, 237)(229, 247)(230, 241)(231, 245)(232, 239)(249, 255)(250, 256)(251, 253)(252, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1255
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1254 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 527>$ (small group id <128, 527>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, (Y1^-1 * Y2^-1)^2, Y2^4, (Y2^-1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 13, 77)(5, 69, 19, 83)(6, 70, 20, 84)(7, 71, 22, 86)(8, 72, 25, 89)(10, 74, 30, 94)(11, 75, 31, 95)(12, 76, 33, 97)(14, 78, 36, 100)(15, 79, 38, 102)(16, 80, 39, 103)(17, 81, 40, 104)(18, 82, 37, 101)(21, 85, 43, 107)(23, 87, 46, 110)(24, 88, 47, 111)(26, 90, 49, 113)(27, 91, 50, 114)(28, 92, 51, 115)(29, 93, 52, 116)(32, 96, 54, 118)(34, 98, 55, 119)(35, 99, 56, 120)(41, 105, 58, 122)(42, 106, 59, 123)(44, 108, 61, 125)(45, 109, 62, 126)(48, 112, 63, 127)(53, 117, 64, 128)(57, 121, 60, 124)(129, 130, 135, 133)(131, 139, 149, 138)(132, 142, 161, 144)(134, 146, 151, 136)(137, 154, 175, 156)(140, 152, 170, 160)(141, 155, 148, 162)(143, 159, 181, 165)(145, 158, 176, 153)(147, 163, 182, 169)(150, 172, 187, 173)(157, 174, 188, 171)(164, 177, 189, 184)(166, 185, 168, 183)(167, 179, 190, 186)(178, 192, 180, 191)(193, 195, 204, 198)(194, 200, 216, 202)(196, 207, 214, 209)(197, 210, 224, 203)(199, 213, 234, 215)(201, 219, 211, 221)(205, 218, 235, 227)(206, 217, 236, 229)(208, 222, 237, 223)(212, 220, 238, 233)(225, 245, 251, 240)(226, 246, 252, 239)(228, 249, 231, 244)(230, 241, 256, 243)(232, 248, 255, 250)(242, 253, 247, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1256
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1255 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 742>$ (small group id <128, 742>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2, Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1, Y3^2 * Y2 * Y3^-2 * Y1 * Y2 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y1)^4, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 45, 109, 173, 237, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 52, 116, 180, 244, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 46, 110, 174, 238, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 60, 124, 188, 252, 34, 98, 162, 226)(15, 79, 143, 207, 37, 101, 165, 229, 44, 108, 172, 236, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231, 59, 123, 187, 251, 40, 104, 168, 232)(17, 81, 145, 209, 42, 106, 170, 234, 36, 100, 164, 228, 43, 107, 171, 235)(20, 84, 148, 212, 47, 111, 175, 239, 30, 94, 158, 222, 48, 112, 176, 240)(21, 85, 149, 213, 49, 113, 177, 241, 64, 128, 192, 256, 50, 114, 178, 242)(23, 87, 151, 215, 53, 117, 181, 245, 28, 92, 156, 220, 54, 118, 182, 246)(24, 88, 152, 216, 55, 119, 183, 247, 63, 127, 191, 255, 56, 120, 184, 248)(25, 89, 153, 217, 57, 121, 185, 249, 35, 99, 163, 227, 58, 122, 186, 250)(41, 105, 169, 233, 61, 125, 189, 253, 51, 115, 179, 243, 62, 126, 190, 254)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 99)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 115)(23, 72)(24, 75)(25, 105)(26, 123)(27, 124)(28, 121)(29, 109)(30, 122)(31, 111)(32, 117)(33, 120)(34, 114)(35, 78)(36, 116)(37, 112)(38, 118)(39, 119)(40, 113)(41, 89)(42, 127)(43, 128)(44, 125)(45, 93)(46, 126)(47, 95)(48, 101)(49, 104)(50, 98)(51, 86)(52, 100)(53, 96)(54, 102)(55, 103)(56, 97)(57, 92)(58, 94)(59, 90)(60, 91)(61, 108)(62, 110)(63, 106)(64, 107)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 228)(143, 219)(144, 197)(145, 233)(146, 236)(147, 238)(148, 234)(149, 199)(150, 244)(151, 235)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 243)(158, 203)(159, 248)(160, 242)(161, 246)(162, 240)(163, 237)(164, 206)(165, 247)(166, 241)(167, 245)(168, 239)(169, 209)(170, 212)(171, 215)(172, 210)(173, 227)(174, 211)(175, 232)(176, 226)(177, 230)(178, 224)(179, 221)(180, 214)(181, 231)(182, 225)(183, 229)(184, 223)(185, 255)(186, 256)(187, 253)(188, 254)(189, 251)(190, 252)(191, 249)(192, 250)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1253
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1256 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 527>$ (small group id <128, 527>)
|r| :: 2
Presentation :: [ R^2, Y3^2, (Y2 * Y1^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y1, (Y1^-1 * Y2^-1)^2, Y2^4, (Y2^-1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y1 * Y3 * Y2^2 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 13, 77, 141, 205)(5, 69, 133, 197, 19, 83, 147, 211)(6, 70, 134, 198, 20, 84, 148, 212)(7, 71, 135, 199, 22, 86, 150, 214)(8, 72, 136, 200, 25, 89, 153, 217)(10, 74, 138, 202, 30, 94, 158, 222)(11, 75, 139, 203, 31, 95, 159, 223)(12, 76, 140, 204, 33, 97, 161, 225)(14, 78, 142, 206, 36, 100, 164, 228)(15, 79, 143, 207, 38, 102, 166, 230)(16, 80, 144, 208, 39, 103, 167, 231)(17, 81, 145, 209, 40, 104, 168, 232)(18, 82, 146, 210, 37, 101, 165, 229)(21, 85, 149, 213, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238)(24, 88, 152, 216, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241)(27, 91, 155, 219, 50, 114, 178, 242)(28, 92, 156, 220, 51, 115, 179, 243)(29, 93, 157, 221, 52, 116, 180, 244)(32, 96, 160, 224, 54, 118, 182, 246)(34, 98, 162, 226, 55, 119, 183, 247)(35, 99, 163, 227, 56, 120, 184, 248)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(44, 108, 172, 236, 61, 125, 189, 253)(45, 109, 173, 237, 62, 126, 190, 254)(48, 112, 176, 240, 63, 127, 191, 255)(53, 117, 181, 245, 64, 128, 192, 256)(57, 121, 185, 249, 60, 124, 188, 252)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 82)(7, 69)(8, 70)(9, 90)(10, 67)(11, 85)(12, 88)(13, 91)(14, 97)(15, 95)(16, 68)(17, 94)(18, 87)(19, 99)(20, 98)(21, 74)(22, 108)(23, 72)(24, 106)(25, 81)(26, 111)(27, 84)(28, 73)(29, 110)(30, 112)(31, 117)(32, 76)(33, 80)(34, 77)(35, 118)(36, 113)(37, 79)(38, 121)(39, 115)(40, 119)(41, 83)(42, 96)(43, 93)(44, 123)(45, 86)(46, 124)(47, 92)(48, 89)(49, 125)(50, 128)(51, 126)(52, 127)(53, 101)(54, 105)(55, 102)(56, 100)(57, 104)(58, 103)(59, 109)(60, 107)(61, 120)(62, 122)(63, 114)(64, 116)(129, 195)(130, 200)(131, 204)(132, 207)(133, 210)(134, 193)(135, 213)(136, 216)(137, 219)(138, 194)(139, 197)(140, 198)(141, 218)(142, 217)(143, 214)(144, 222)(145, 196)(146, 224)(147, 221)(148, 220)(149, 234)(150, 209)(151, 199)(152, 202)(153, 236)(154, 235)(155, 211)(156, 238)(157, 201)(158, 237)(159, 208)(160, 203)(161, 245)(162, 246)(163, 205)(164, 249)(165, 206)(166, 241)(167, 244)(168, 248)(169, 212)(170, 215)(171, 227)(172, 229)(173, 223)(174, 233)(175, 226)(176, 225)(177, 256)(178, 253)(179, 230)(180, 228)(181, 251)(182, 252)(183, 254)(184, 255)(185, 231)(186, 232)(187, 240)(188, 239)(189, 247)(190, 242)(191, 250)(192, 243)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1254
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^2)^2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y3 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 40, 104)(18, 82, 38, 102)(19, 83, 44, 108)(20, 84, 46, 110)(22, 86, 49, 113)(23, 87, 37, 101)(25, 89, 48, 112)(27, 91, 42, 106)(28, 92, 41, 105)(29, 93, 43, 107)(31, 95, 57, 121)(33, 97, 51, 115)(34, 98, 39, 103)(36, 100, 50, 114)(45, 109, 64, 128)(47, 111, 58, 122)(52, 116, 59, 123)(53, 117, 60, 124)(54, 118, 62, 126)(55, 119, 61, 125)(56, 120, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 169, 233, 148, 212)(137, 201, 151, 215, 179, 243, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 185, 249, 164, 228)(144, 208, 165, 229, 186, 250, 167, 231)(146, 210, 170, 234, 150, 214, 171, 235)(149, 213, 176, 240, 192, 256, 178, 242)(152, 216, 181, 245, 160, 224, 182, 246)(154, 218, 175, 239, 191, 255, 173, 237)(158, 222, 180, 244, 163, 227, 183, 247)(159, 223, 168, 232, 161, 225, 184, 248)(166, 230, 188, 252, 174, 238, 189, 253)(172, 236, 187, 251, 177, 241, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 169)(18, 134)(19, 173)(20, 175)(21, 177)(22, 136)(23, 180)(24, 137)(25, 183)(26, 170)(27, 138)(28, 168)(29, 184)(30, 185)(31, 140)(32, 179)(33, 141)(34, 182)(35, 142)(36, 181)(37, 187)(38, 144)(39, 190)(40, 156)(41, 145)(42, 154)(43, 191)(44, 192)(45, 147)(46, 186)(47, 148)(48, 189)(49, 149)(50, 188)(51, 160)(52, 151)(53, 164)(54, 162)(55, 153)(56, 157)(57, 158)(58, 174)(59, 165)(60, 178)(61, 176)(62, 167)(63, 171)(64, 172)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 102>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-1 * Y2^2 * Y3^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 36, 100)(18, 82, 39, 103)(20, 84, 44, 108)(21, 85, 43, 107)(22, 86, 41, 105)(24, 88, 49, 113)(26, 90, 52, 116)(27, 91, 40, 104)(29, 93, 50, 114)(32, 96, 45, 109)(33, 97, 46, 110)(34, 98, 56, 120)(35, 99, 53, 117)(37, 101, 42, 106)(38, 102, 51, 115)(47, 111, 62, 126)(48, 112, 59, 123)(54, 118, 61, 125)(55, 119, 60, 124)(57, 121, 63, 127)(58, 122, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 160, 224, 144, 208)(134, 198, 141, 205, 161, 225, 146, 210)(136, 200, 150, 214, 173, 237, 152, 216)(138, 202, 149, 213, 174, 238, 154, 218)(139, 203, 155, 219, 181, 245, 157, 221)(143, 207, 162, 226, 172, 236, 163, 227)(145, 209, 165, 229, 184, 248, 166, 230)(147, 211, 168, 232, 187, 251, 170, 234)(151, 215, 175, 239, 159, 223, 176, 240)(153, 217, 178, 242, 190, 254, 179, 243)(156, 220, 183, 247, 167, 231, 185, 249)(158, 222, 182, 246, 164, 228, 186, 250)(169, 233, 189, 253, 180, 244, 191, 255)(171, 235, 188, 252, 177, 241, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 149)(8, 151)(9, 154)(10, 130)(11, 156)(12, 160)(13, 162)(14, 131)(15, 134)(16, 133)(17, 164)(18, 163)(19, 169)(20, 173)(21, 175)(22, 135)(23, 138)(24, 137)(25, 177)(26, 176)(27, 182)(28, 184)(29, 186)(30, 139)(31, 174)(32, 172)(33, 140)(34, 142)(35, 144)(36, 181)(37, 185)(38, 183)(39, 145)(40, 188)(41, 190)(42, 192)(43, 147)(44, 161)(45, 159)(46, 148)(47, 150)(48, 152)(49, 187)(50, 191)(51, 189)(52, 153)(53, 167)(54, 166)(55, 155)(56, 158)(57, 157)(58, 165)(59, 180)(60, 179)(61, 168)(62, 171)(63, 170)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D16 (small group id <64, 118>)
Aut   = $<128, 2012>$ (small group id <128, 2012>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3 * Y2^-1 * Y3, Y3^-1 * Y2 * Y3^-1 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y1)^2, Y2 * Y3^-1 * Y2^-1 * Y1 * Y3 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, Y3^8, R * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^-1, Y3^2 * Y2^-1 * Y3^-2 * Y1 * Y2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 22, 86)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 36, 100)(18, 82, 27, 91)(19, 83, 24, 88)(23, 87, 39, 103)(25, 89, 45, 109)(29, 93, 47, 111)(31, 95, 41, 105)(32, 96, 40, 104)(33, 97, 49, 113)(34, 98, 46, 110)(35, 99, 53, 117)(37, 101, 43, 107)(38, 102, 54, 118)(42, 106, 56, 120)(44, 108, 60, 124)(48, 112, 61, 125)(50, 114, 57, 121)(51, 115, 58, 122)(52, 116, 59, 123)(55, 119, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 151, 215, 168, 232, 153, 217)(138, 202, 150, 214, 169, 233, 155, 219)(139, 203, 157, 221, 145, 209, 156, 220)(143, 207, 161, 225, 175, 239, 163, 227)(147, 211, 148, 212, 166, 230, 154, 218)(152, 216, 170, 234, 182, 246, 172, 236)(158, 222, 176, 240, 164, 228, 174, 238)(162, 226, 178, 242, 189, 253, 180, 244)(165, 229, 167, 231, 183, 247, 173, 237)(171, 235, 185, 249, 191, 255, 187, 251)(177, 241, 190, 254, 181, 245, 186, 250)(179, 243, 184, 248, 192, 256, 188, 252)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 158)(12, 159)(13, 148)(14, 131)(15, 162)(16, 133)(17, 164)(18, 154)(19, 134)(20, 167)(21, 168)(22, 139)(23, 135)(24, 171)(25, 137)(26, 173)(27, 145)(28, 138)(29, 169)(30, 177)(31, 175)(32, 140)(33, 142)(34, 179)(35, 144)(36, 181)(37, 147)(38, 160)(39, 184)(40, 182)(41, 149)(42, 151)(43, 186)(44, 153)(45, 188)(46, 156)(47, 189)(48, 157)(49, 185)(50, 161)(51, 165)(52, 163)(53, 187)(54, 191)(55, 166)(56, 178)(57, 170)(58, 174)(59, 172)(60, 180)(61, 192)(62, 176)(63, 190)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1260 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C4 x D16 (small group id <64, 118>)
Aut   = $<128, 2011>$ (small group id <128, 2011>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2^-1 * Y3 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^4, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 30, 94)(14, 78, 23, 87)(15, 79, 28, 92)(16, 80, 25, 89)(18, 82, 35, 99)(19, 83, 24, 88)(22, 86, 39, 103)(27, 91, 44, 108)(29, 93, 47, 111)(31, 95, 41, 105)(32, 96, 40, 104)(33, 97, 49, 113)(34, 98, 46, 110)(36, 100, 52, 116)(37, 101, 43, 107)(38, 102, 54, 118)(42, 106, 56, 120)(45, 109, 59, 123)(48, 112, 61, 125)(50, 114, 57, 121)(51, 115, 58, 122)(53, 117, 60, 124)(55, 119, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 151, 215, 168, 232, 153, 217)(138, 202, 150, 214, 169, 233, 155, 219)(139, 203, 157, 221, 145, 209, 152, 216)(143, 207, 148, 212, 166, 230, 154, 218)(147, 211, 161, 225, 175, 239, 164, 228)(156, 220, 170, 234, 182, 246, 173, 237)(158, 222, 176, 240, 163, 227, 171, 235)(162, 226, 167, 231, 183, 247, 172, 236)(165, 229, 178, 242, 189, 253, 181, 245)(174, 238, 185, 249, 191, 255, 188, 252)(177, 241, 190, 254, 180, 244, 186, 250)(179, 243, 184, 248, 192, 256, 187, 251)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 151)(12, 159)(13, 161)(14, 131)(15, 162)(16, 133)(17, 153)(18, 164)(19, 134)(20, 142)(21, 168)(22, 170)(23, 135)(24, 171)(25, 137)(26, 144)(27, 173)(28, 138)(29, 176)(30, 139)(31, 166)(32, 140)(33, 178)(34, 179)(35, 145)(36, 181)(37, 147)(38, 183)(39, 148)(40, 157)(41, 149)(42, 185)(43, 186)(44, 154)(45, 188)(46, 156)(47, 160)(48, 190)(49, 158)(50, 184)(51, 165)(52, 163)(53, 187)(54, 169)(55, 192)(56, 167)(57, 177)(58, 174)(59, 172)(60, 180)(61, 175)(62, 191)(63, 182)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1261 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3 * Y2 * Y3^-1 * Y2, (R * Y1)^2, (R * Y2)^2, (R * Y3)^2, (Y1 * Y3^-2)^2, (Y3 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1, Y2 * Y3^2 * Y2 * Y1 * Y2 * Y3^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 44, 108)(27, 91, 32, 96)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 33, 97)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 52, 116)(43, 107, 53, 117)(45, 109, 55, 119)(46, 110, 59, 123)(47, 111, 60, 124)(48, 112, 58, 122)(49, 113, 56, 120)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 177, 241)(157, 221, 178, 242)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(169, 233, 185, 249)(172, 236, 189, 253)(174, 238, 190, 254)(175, 239, 179, 243)(182, 246, 191, 255)(184, 248, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 183)(42, 189)(43, 149)(44, 151)(45, 190)(46, 154)(47, 152)(48, 179)(49, 158)(50, 155)(51, 173)(52, 191)(53, 159)(54, 161)(55, 192)(56, 164)(57, 162)(58, 169)(59, 168)(60, 165)(61, 171)(62, 176)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1264
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1262 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2^-1 * Y3 * Y2 * Y3^-3, (Y2^-2 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 26, 90)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 32, 96)(20, 84, 30, 94)(21, 85, 34, 98)(22, 86, 35, 99)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 53, 117)(41, 105, 54, 118)(42, 106, 51, 115)(43, 107, 52, 116)(44, 108, 56, 120)(45, 109, 55, 119)(46, 110, 58, 122)(47, 111, 57, 121)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 165, 229, 146, 210, 164, 228)(141, 205, 168, 232, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 172, 236, 187, 251, 174, 238)(151, 215, 152, 216, 176, 240, 159, 223)(154, 218, 179, 243, 160, 224, 180, 244)(155, 219, 181, 245, 161, 225, 182, 246)(157, 221, 183, 247, 190, 254, 185, 249)(173, 237, 188, 252, 175, 239, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 166)(13, 152)(14, 131)(15, 173)(16, 169)(17, 175)(18, 158)(19, 159)(20, 133)(21, 172)(22, 174)(23, 134)(24, 143)(25, 177)(26, 139)(27, 135)(28, 184)(29, 180)(30, 186)(31, 145)(32, 146)(33, 137)(34, 183)(35, 185)(36, 138)(37, 178)(38, 187)(39, 140)(40, 188)(41, 189)(42, 176)(43, 151)(44, 142)(45, 149)(46, 148)(47, 150)(48, 167)(49, 190)(50, 153)(51, 191)(52, 192)(53, 165)(54, 164)(55, 155)(56, 162)(57, 161)(58, 163)(59, 168)(60, 170)(61, 171)(62, 179)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1263
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1263 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y1)^2, Y2^4, (Y1 * Y3)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y3^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3 * Y2 * Y3^-3 * Y2^-1, Y3^3 * Y2 * Y3^-1 * Y2^-1, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1, Y2^2 * Y1 * Y2^-2 * Y1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 27, 91)(15, 79, 28, 92)(16, 80, 36, 100)(17, 81, 30, 94)(19, 83, 35, 99)(20, 84, 33, 97)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 54, 118)(41, 105, 56, 120)(42, 106, 55, 119)(43, 107, 51, 115)(44, 108, 53, 117)(45, 109, 52, 116)(46, 110, 58, 122)(47, 111, 57, 121)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 165, 229, 146, 210, 157, 221)(141, 205, 168, 232, 147, 211, 170, 234)(142, 206, 171, 235, 148, 212, 172, 236)(144, 208, 152, 216, 176, 240, 159, 223)(151, 215, 169, 233, 187, 251, 175, 239)(154, 218, 179, 243, 160, 224, 181, 245)(155, 219, 182, 246, 161, 225, 183, 247)(164, 228, 180, 244, 190, 254, 186, 250)(173, 237, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 185, 249, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 155)(12, 166)(13, 169)(14, 131)(15, 173)(16, 170)(17, 174)(18, 161)(19, 175)(20, 133)(21, 152)(22, 159)(23, 134)(24, 142)(25, 177)(26, 180)(27, 135)(28, 184)(29, 181)(30, 185)(31, 148)(32, 186)(33, 137)(34, 139)(35, 146)(36, 138)(37, 179)(38, 176)(39, 140)(40, 188)(41, 143)(42, 189)(43, 187)(44, 151)(45, 149)(46, 150)(47, 145)(48, 168)(49, 165)(50, 153)(51, 191)(52, 156)(53, 192)(54, 190)(55, 164)(56, 162)(57, 163)(58, 158)(59, 167)(60, 171)(61, 172)(62, 178)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1262
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1264 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 123>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y3^-2 * Y1^2, Y3^2 * Y1^2, (Y3^-1, Y1^-1), (R * Y3)^2, Y1^4, Y2^4, (Y3^-1 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 24, 88, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 25, 89, 23, 87)(9, 73, 26, 90, 19, 83, 29, 93)(11, 75, 32, 96, 20, 84, 34, 98)(14, 78, 27, 91, 46, 110, 40, 104)(15, 79, 36, 100, 17, 81, 38, 102)(18, 82, 44, 108, 22, 86, 45, 109)(28, 92, 48, 112, 30, 94, 50, 114)(31, 95, 55, 119, 33, 97, 56, 120)(35, 99, 54, 118, 42, 106, 49, 113)(37, 101, 53, 117, 43, 107, 47, 111)(39, 103, 51, 115, 41, 105, 52, 116)(57, 121, 63, 127, 58, 122, 64, 128)(59, 123, 61, 125, 60, 124, 62, 126)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 155, 219, 139, 203)(132, 196, 146, 210, 167, 231, 145, 209)(133, 197, 147, 211, 168, 232, 148, 212)(135, 199, 150, 214, 169, 233, 143, 207)(136, 200, 152, 216, 174, 238, 153, 217)(138, 202, 159, 223, 179, 243, 158, 222)(140, 204, 161, 225, 180, 244, 156, 220)(141, 205, 163, 227, 149, 213, 165, 229)(144, 208, 170, 234, 151, 215, 171, 235)(154, 218, 175, 239, 160, 224, 177, 241)(157, 221, 181, 245, 162, 226, 182, 246)(164, 228, 187, 251, 173, 237, 186, 250)(166, 230, 188, 252, 172, 236, 185, 249)(176, 240, 191, 255, 184, 248, 190, 254)(178, 242, 192, 256, 183, 247, 189, 253)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 156)(10, 133)(11, 161)(12, 130)(13, 164)(14, 167)(15, 152)(16, 166)(17, 131)(18, 134)(19, 158)(20, 159)(21, 173)(22, 153)(23, 172)(24, 145)(25, 146)(26, 176)(27, 179)(28, 147)(29, 178)(30, 137)(31, 139)(32, 184)(33, 148)(34, 183)(35, 185)(36, 144)(37, 188)(38, 141)(39, 174)(40, 180)(41, 142)(42, 186)(43, 187)(44, 149)(45, 151)(46, 169)(47, 189)(48, 157)(49, 192)(50, 154)(51, 168)(52, 155)(53, 190)(54, 191)(55, 160)(56, 162)(57, 170)(58, 163)(59, 165)(60, 171)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1261
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1265 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 44, 108)(27, 91, 32, 96)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 33, 97)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 58, 122)(43, 107, 55, 119)(45, 109, 53, 117)(46, 110, 59, 123)(47, 111, 60, 124)(48, 112, 52, 116)(49, 113, 56, 120)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 177, 241)(157, 221, 178, 242)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 189, 253)(175, 239, 190, 254)(184, 248, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1271
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1266 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y1)^4, (Y3 * Y2)^4, (R * Y2 * Y1 * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 33, 97)(18, 82, 37, 101)(19, 83, 39, 103)(20, 84, 28, 92)(22, 86, 44, 108)(23, 87, 45, 109)(24, 88, 47, 111)(26, 90, 51, 115)(27, 91, 53, 117)(30, 94, 58, 122)(32, 96, 49, 113)(34, 98, 56, 120)(35, 99, 46, 110)(36, 100, 55, 119)(38, 102, 52, 116)(40, 104, 57, 121)(41, 105, 50, 114)(42, 106, 48, 112)(43, 107, 54, 118)(59, 123, 63, 127)(60, 124, 62, 126)(61, 125, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 162, 226)(145, 209, 163, 227)(148, 212, 169, 233)(149, 213, 170, 234)(150, 214, 166, 230)(152, 216, 176, 240)(153, 217, 177, 241)(156, 220, 183, 247)(157, 221, 184, 248)(158, 222, 180, 244)(159, 223, 186, 250)(160, 224, 181, 245)(161, 225, 179, 243)(164, 228, 188, 252)(165, 229, 175, 239)(167, 231, 174, 238)(168, 232, 189, 253)(171, 235, 187, 251)(172, 236, 173, 237)(178, 242, 191, 255)(182, 246, 192, 256)(185, 249, 190, 254)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 160)(16, 135)(17, 164)(18, 166)(19, 168)(20, 137)(21, 171)(22, 138)(23, 174)(24, 139)(25, 178)(26, 180)(27, 182)(28, 141)(29, 185)(30, 142)(31, 176)(32, 143)(33, 183)(34, 173)(35, 187)(36, 145)(37, 189)(38, 146)(39, 186)(40, 147)(41, 175)(42, 188)(43, 149)(44, 181)(45, 162)(46, 151)(47, 169)(48, 159)(49, 190)(50, 153)(51, 192)(52, 154)(53, 172)(54, 155)(55, 161)(56, 191)(57, 157)(58, 167)(59, 163)(60, 170)(61, 165)(62, 177)(63, 184)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1272
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1267 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1732>$ (small group id <128, 1732>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y1 * Y3^-1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, Y3^-3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-1 * Y3^3, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y3^-2 * Y2 * Y3^-2, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 26, 90)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 32, 96)(20, 84, 28, 92)(21, 85, 34, 98)(22, 86, 35, 99)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 53, 117)(41, 105, 54, 118)(42, 106, 51, 115)(43, 107, 52, 116)(44, 108, 58, 122)(45, 109, 57, 121)(46, 110, 56, 120)(47, 111, 55, 119)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 165, 229, 146, 210, 164, 228)(141, 205, 168, 232, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 172, 236, 187, 251, 174, 238)(151, 215, 152, 216, 176, 240, 159, 223)(154, 218, 179, 243, 160, 224, 180, 244)(155, 219, 181, 245, 161, 225, 182, 246)(157, 221, 183, 247, 190, 254, 185, 249)(173, 237, 188, 252, 175, 239, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 166)(13, 152)(14, 131)(15, 173)(16, 168)(17, 175)(18, 156)(19, 159)(20, 133)(21, 174)(22, 172)(23, 134)(24, 145)(25, 177)(26, 139)(27, 135)(28, 184)(29, 179)(30, 186)(31, 143)(32, 146)(33, 137)(34, 185)(35, 183)(36, 138)(37, 178)(38, 187)(39, 140)(40, 188)(41, 189)(42, 151)(43, 176)(44, 142)(45, 149)(46, 148)(47, 150)(48, 167)(49, 190)(50, 153)(51, 191)(52, 192)(53, 164)(54, 165)(55, 155)(56, 162)(57, 161)(58, 163)(59, 169)(60, 170)(61, 171)(62, 180)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1269
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, (R * Y3)^2, Y2^4, (R * Y1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^3 * Y2 * Y3^-1 * Y2, (Y2^-2 * Y1)^2, Y3^2 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y3^2 * Y2 * Y3^2, Y3^-1 * Y2 * Y3 * Y2 * Y3^-2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y2 * Y3 * Y1)^2, (Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 27, 91)(15, 79, 28, 92)(16, 80, 36, 100)(17, 81, 30, 94)(19, 83, 34, 98)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 54, 118)(41, 105, 58, 122)(42, 106, 55, 119)(43, 107, 51, 115)(44, 108, 53, 117)(45, 109, 57, 121)(46, 110, 56, 120)(47, 111, 52, 116)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 165, 229, 146, 210, 157, 221)(141, 205, 168, 232, 147, 211, 170, 234)(142, 206, 171, 235, 148, 212, 172, 236)(144, 208, 152, 216, 176, 240, 159, 223)(151, 215, 169, 233, 187, 251, 174, 238)(154, 218, 179, 243, 160, 224, 181, 245)(155, 219, 182, 246, 161, 225, 183, 247)(164, 228, 180, 244, 190, 254, 185, 249)(173, 237, 188, 252, 175, 239, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 155)(12, 166)(13, 169)(14, 131)(15, 173)(16, 168)(17, 175)(18, 161)(19, 174)(20, 133)(21, 159)(22, 152)(23, 134)(24, 142)(25, 177)(26, 180)(27, 135)(28, 184)(29, 179)(30, 186)(31, 148)(32, 185)(33, 137)(34, 146)(35, 139)(36, 138)(37, 181)(38, 176)(39, 140)(40, 188)(41, 145)(42, 189)(43, 151)(44, 187)(45, 149)(46, 143)(47, 150)(48, 170)(49, 165)(50, 153)(51, 191)(52, 158)(53, 192)(54, 164)(55, 190)(56, 162)(57, 156)(58, 163)(59, 167)(60, 171)(61, 172)(62, 178)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1270
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1732>$ (small group id <128, 1732>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^4, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-2 * Y2 * Y3^-2 * Y2^-1, Y3^2 * Y2^-1 * Y3^-2 * Y2^-1, (Y2 * Y3^-1 * Y1)^2, Y3^3 * Y2^-2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 35, 99)(20, 84, 28, 92)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 59, 123)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 60, 124)(47, 111, 54, 118)(48, 112, 58, 122)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 174, 238, 151, 215, 170, 234)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 186, 250, 164, 228, 182, 246)(175, 239, 189, 253, 176, 240, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 156)(19, 174)(20, 133)(21, 152)(22, 159)(23, 134)(24, 145)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 143)(32, 186)(33, 137)(34, 139)(35, 146)(36, 138)(37, 181)(38, 183)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 178)(45, 177)(46, 142)(47, 149)(48, 150)(49, 169)(50, 171)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 166)(57, 165)(58, 155)(59, 162)(60, 163)(61, 172)(62, 173)(63, 184)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1267
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1, (Y2 * Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y2^-1 * Y3 * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3^-4 * Y2^-1, Y3^2 * Y2 * Y3^2 * Y2^-1, (Y3^-1 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 34, 98)(20, 84, 30, 94)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 56, 120)(42, 106, 60, 124)(43, 107, 57, 121)(44, 108, 53, 117)(45, 109, 55, 119)(46, 110, 59, 123)(47, 111, 58, 122)(48, 112, 54, 118)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 174, 238, 151, 215, 170, 234)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 186, 250, 164, 228, 182, 246)(175, 239, 189, 253, 176, 240, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 158)(19, 174)(20, 133)(21, 159)(22, 152)(23, 134)(24, 143)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 145)(32, 186)(33, 137)(34, 146)(35, 139)(36, 138)(37, 183)(38, 181)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 177)(45, 178)(46, 142)(47, 149)(48, 150)(49, 171)(50, 169)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 165)(57, 166)(58, 155)(59, 162)(60, 163)(61, 172)(62, 173)(63, 184)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1268
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1740>$ (small group id <128, 1740>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y3^-1 * Y2^-1)^2, (Y2 * Y3^-1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (Y2^-1 * Y1^-1 * R)^2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y1^-1 * Y2 * Y1 * Y3^-2 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3^3 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 24, 88, 30, 94, 26, 90)(7, 71, 22, 86, 31, 95, 10, 74)(9, 73, 32, 96, 21, 85, 35, 99)(11, 75, 39, 103, 23, 87, 41, 105)(14, 78, 33, 97, 52, 116, 44, 108)(15, 79, 46, 110, 53, 117, 34, 98)(17, 81, 48, 112, 54, 118, 37, 101)(19, 83, 51, 115, 55, 119, 36, 100)(20, 84, 42, 106, 56, 120, 49, 113)(25, 89, 50, 114, 57, 121, 40, 104)(27, 91, 38, 102, 58, 122, 47, 111)(43, 107, 61, 125, 63, 127, 60, 124)(45, 109, 62, 126, 64, 128, 59, 123)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 161, 225, 139, 203)(132, 196, 147, 211, 171, 235, 145, 209)(133, 197, 149, 213, 172, 236, 151, 215)(135, 199, 153, 217, 173, 237, 143, 207)(136, 200, 156, 220, 180, 244, 158, 222)(138, 202, 165, 229, 187, 251, 164, 228)(140, 204, 168, 232, 188, 252, 162, 226)(141, 205, 166, 230, 152, 216, 170, 234)(144, 208, 175, 239, 154, 218, 177, 241)(146, 210, 178, 242, 189, 253, 174, 238)(148, 212, 169, 233, 155, 219, 163, 227)(150, 214, 176, 240, 190, 254, 179, 243)(157, 221, 183, 247, 191, 255, 182, 246)(159, 223, 185, 249, 192, 256, 181, 245)(160, 224, 184, 248, 167, 231, 186, 250)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 157)(9, 162)(10, 166)(11, 168)(12, 130)(13, 165)(14, 171)(15, 163)(16, 176)(17, 131)(18, 133)(19, 134)(20, 173)(21, 174)(22, 175)(23, 178)(24, 164)(25, 169)(26, 179)(27, 135)(28, 181)(29, 184)(30, 185)(31, 136)(32, 183)(33, 187)(34, 141)(35, 147)(36, 137)(37, 139)(38, 188)(39, 182)(40, 152)(41, 145)(42, 140)(43, 155)(44, 190)(45, 142)(46, 144)(47, 189)(48, 151)(49, 146)(50, 154)(51, 149)(52, 191)(53, 160)(54, 156)(55, 158)(56, 192)(57, 167)(58, 159)(59, 170)(60, 161)(61, 172)(62, 177)(63, 186)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1265
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x D16) : C2 (small group id <64, 130>)
Aut   = $<128, 1738>$ (small group id <128, 1738>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y1^-1)^2, Y2^4, (Y2^-1 * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y2^-1)^2, Y1^4, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y2^-1 * Y1^-1 * Y2^2 * Y1 * Y2^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y3^3 * Y2 * Y3^-1 * Y2^-1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1^-1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y1 * Y2 * Y1^-1, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 28, 92, 16, 80)(4, 68, 18, 82, 29, 93, 12, 76)(6, 70, 24, 88, 30, 94, 26, 90)(7, 71, 22, 86, 31, 95, 10, 74)(9, 73, 32, 96, 21, 85, 35, 99)(11, 75, 39, 103, 23, 87, 41, 105)(14, 78, 33, 97, 52, 116, 44, 108)(15, 79, 46, 110, 53, 117, 40, 104)(17, 81, 48, 112, 54, 118, 36, 100)(19, 83, 51, 115, 55, 119, 37, 101)(20, 84, 42, 106, 56, 120, 47, 111)(25, 89, 50, 114, 57, 121, 34, 98)(27, 91, 38, 102, 58, 122, 49, 113)(43, 107, 61, 125, 63, 127, 60, 124)(45, 109, 62, 126, 64, 128, 59, 123)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 161, 225, 139, 203)(132, 196, 147, 211, 171, 235, 145, 209)(133, 197, 149, 213, 172, 236, 151, 215)(135, 199, 153, 217, 173, 237, 143, 207)(136, 200, 156, 220, 180, 244, 158, 222)(138, 202, 165, 229, 187, 251, 164, 228)(140, 204, 168, 232, 188, 252, 162, 226)(141, 205, 170, 234, 152, 216, 166, 230)(144, 208, 175, 239, 154, 218, 177, 241)(146, 210, 174, 238, 189, 253, 178, 242)(148, 212, 163, 227, 155, 219, 169, 233)(150, 214, 179, 243, 190, 254, 176, 240)(157, 221, 183, 247, 191, 255, 182, 246)(159, 223, 185, 249, 192, 256, 181, 245)(160, 224, 186, 250, 167, 231, 184, 248)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 157)(9, 162)(10, 166)(11, 168)(12, 130)(13, 164)(14, 171)(15, 169)(16, 176)(17, 131)(18, 133)(19, 134)(20, 173)(21, 178)(22, 177)(23, 174)(24, 165)(25, 163)(26, 179)(27, 135)(28, 181)(29, 184)(30, 185)(31, 136)(32, 182)(33, 187)(34, 152)(35, 145)(36, 137)(37, 139)(38, 188)(39, 183)(40, 141)(41, 147)(42, 140)(43, 155)(44, 190)(45, 142)(46, 144)(47, 146)(48, 149)(49, 189)(50, 154)(51, 151)(52, 191)(53, 167)(54, 156)(55, 158)(56, 192)(57, 160)(58, 159)(59, 170)(60, 161)(61, 172)(62, 175)(63, 186)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1266
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1273 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, (Y3 * Y2)^2, R * Y3 * R * Y2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 80, 16, 75, 11, 67)(4, 76, 12, 81, 17, 77, 13, 68)(7, 82, 18, 78, 14, 84, 20, 71)(8, 85, 21, 79, 15, 86, 22, 72)(10, 89, 25, 98, 34, 90, 26, 74)(19, 101, 37, 97, 33, 102, 38, 83)(23, 108, 44, 91, 27, 106, 42, 87)(24, 104, 40, 92, 28, 100, 36, 88)(29, 107, 43, 95, 31, 105, 41, 93)(30, 103, 39, 96, 32, 99, 35, 94)(45, 118, 54, 114, 50, 120, 56, 109)(46, 117, 53, 112, 48, 122, 58, 110)(47, 123, 59, 113, 49, 124, 60, 111)(51, 119, 55, 116, 52, 121, 57, 115)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 23)(11, 27)(12, 29)(13, 31)(15, 33)(17, 34)(18, 35)(20, 39)(21, 41)(22, 43)(24, 45)(25, 46)(26, 48)(28, 50)(30, 51)(32, 52)(36, 53)(37, 54)(38, 56)(40, 58)(42, 59)(44, 60)(47, 61)(49, 62)(55, 63)(57, 64)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 88)(75, 92)(76, 94)(77, 96)(78, 97)(80, 98)(82, 100)(84, 104)(85, 106)(86, 108)(87, 109)(89, 111)(90, 113)(91, 114)(93, 115)(95, 116)(99, 117)(101, 119)(102, 121)(103, 122)(105, 123)(107, 124)(110, 125)(112, 126)(118, 127)(120, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1274
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1274 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^2, Y1 * Y3 * Y1^-2 * Y3 * Y1, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, (Y2 * Y1 * Y3 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y3 * Y1)^2, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1^-1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 91, 27, 77, 13, 92, 28, 74)(20, 101, 37, 87, 23, 102, 38, 84)(25, 103, 39, 93, 29, 99, 35, 89)(26, 105, 41, 94, 30, 107, 43, 90)(31, 100, 36, 97, 33, 104, 40, 95)(32, 108, 44, 98, 34, 106, 42, 96)(45, 121, 57, 110, 46, 119, 55, 109)(47, 118, 54, 113, 49, 117, 53, 111)(48, 124, 60, 114, 50, 123, 59, 112)(51, 122, 58, 116, 52, 120, 56, 115)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 29)(12, 31)(14, 33)(16, 20)(19, 35)(21, 39)(22, 41)(24, 43)(26, 46)(27, 47)(28, 49)(30, 45)(32, 52)(34, 51)(36, 54)(37, 55)(38, 57)(40, 53)(42, 60)(44, 59)(48, 62)(50, 61)(56, 64)(58, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 96)(77, 81)(78, 98)(79, 87)(83, 100)(85, 104)(86, 106)(88, 108)(89, 109)(91, 112)(92, 114)(93, 110)(95, 115)(97, 116)(99, 117)(101, 120)(102, 122)(103, 118)(105, 123)(107, 124)(111, 125)(113, 126)(119, 127)(121, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1273
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1275 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3 * Y2 * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 25, 89, 10, 74)(6, 70, 16, 80, 36, 100, 17, 81)(11, 75, 29, 93, 14, 78, 30, 94)(12, 76, 31, 95, 15, 79, 32, 96)(18, 82, 40, 104, 21, 85, 41, 105)(19, 83, 42, 106, 22, 86, 43, 107)(23, 87, 46, 110, 26, 90, 47, 111)(24, 88, 48, 112, 27, 91, 49, 113)(28, 92, 51, 115, 33, 97, 52, 116)(34, 98, 54, 118, 37, 101, 55, 119)(35, 99, 56, 120, 38, 102, 57, 121)(39, 103, 59, 123, 44, 108, 60, 124)(45, 109, 61, 125, 50, 114, 62, 126)(53, 117, 63, 127, 58, 122, 64, 128)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 151)(138, 154)(140, 156)(141, 148)(143, 161)(144, 162)(145, 165)(147, 167)(150, 172)(152, 173)(153, 164)(155, 178)(157, 177)(158, 176)(159, 175)(160, 174)(163, 181)(166, 186)(168, 185)(169, 184)(170, 183)(171, 182)(179, 187)(180, 188)(189, 191)(190, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 216)(202, 219)(203, 220)(205, 217)(206, 225)(208, 227)(209, 230)(210, 231)(212, 228)(213, 236)(215, 237)(218, 242)(221, 235)(222, 234)(223, 233)(224, 232)(226, 245)(229, 250)(238, 249)(239, 248)(240, 247)(241, 246)(243, 253)(244, 254)(251, 255)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1278
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1276 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 17, 81, 11, 75)(6, 70, 18, 82, 9, 73, 19, 83)(12, 76, 30, 94, 15, 79, 31, 95)(13, 77, 33, 97, 16, 80, 34, 98)(20, 84, 40, 104, 23, 87, 41, 105)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 27, 91, 47, 111)(26, 90, 49, 113, 28, 92, 50, 114)(29, 93, 51, 115, 32, 96, 52, 116)(35, 99, 54, 118, 37, 101, 55, 119)(36, 100, 57, 121, 38, 102, 58, 122)(39, 103, 59, 123, 42, 106, 60, 124)(45, 109, 61, 125, 48, 112, 62, 126)(53, 117, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 153)(139, 155)(141, 160)(142, 150)(144, 157)(146, 163)(147, 165)(149, 170)(152, 167)(154, 176)(156, 173)(158, 169)(159, 168)(161, 171)(162, 172)(164, 184)(166, 181)(174, 182)(175, 183)(177, 186)(178, 185)(179, 188)(180, 187)(189, 191)(190, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 214)(202, 218)(203, 220)(204, 221)(206, 209)(207, 224)(210, 228)(211, 230)(212, 231)(215, 234)(217, 237)(219, 240)(222, 238)(223, 239)(225, 242)(226, 241)(227, 245)(229, 248)(232, 246)(233, 247)(235, 250)(236, 249)(243, 254)(244, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1277
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1277 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3 * Y2 * Y3)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 25, 89, 153, 217, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 36, 100, 164, 228, 17, 81, 145, 209)(11, 75, 139, 203, 29, 93, 157, 221, 14, 78, 142, 206, 30, 94, 158, 222)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(18, 82, 146, 210, 40, 104, 168, 232, 21, 85, 149, 213, 41, 105, 169, 233)(19, 83, 147, 211, 42, 106, 170, 234, 22, 86, 150, 214, 43, 107, 171, 235)(23, 87, 151, 215, 46, 110, 174, 238, 26, 90, 154, 218, 47, 111, 175, 239)(24, 88, 152, 216, 48, 112, 176, 240, 27, 91, 155, 219, 49, 113, 177, 241)(28, 92, 156, 220, 51, 115, 179, 243, 33, 97, 161, 225, 52, 116, 180, 244)(34, 98, 162, 226, 54, 118, 182, 246, 37, 101, 165, 229, 55, 119, 183, 247)(35, 99, 163, 227, 56, 120, 184, 248, 38, 102, 166, 230, 57, 121, 185, 249)(39, 103, 167, 231, 59, 123, 187, 251, 44, 108, 172, 236, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253, 50, 114, 178, 242, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255, 58, 122, 186, 250, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 87)(10, 90)(11, 68)(12, 92)(13, 84)(14, 69)(15, 97)(16, 98)(17, 101)(18, 71)(19, 103)(20, 77)(21, 72)(22, 108)(23, 73)(24, 109)(25, 100)(26, 74)(27, 114)(28, 76)(29, 113)(30, 112)(31, 111)(32, 110)(33, 79)(34, 80)(35, 117)(36, 89)(37, 81)(38, 122)(39, 83)(40, 121)(41, 120)(42, 119)(43, 118)(44, 86)(45, 88)(46, 96)(47, 95)(48, 94)(49, 93)(50, 91)(51, 123)(52, 124)(53, 99)(54, 107)(55, 106)(56, 105)(57, 104)(58, 102)(59, 115)(60, 116)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 216)(138, 219)(139, 220)(140, 196)(141, 217)(142, 225)(143, 197)(144, 227)(145, 230)(146, 231)(147, 199)(148, 228)(149, 236)(150, 200)(151, 237)(152, 201)(153, 205)(154, 242)(155, 202)(156, 203)(157, 235)(158, 234)(159, 233)(160, 232)(161, 206)(162, 245)(163, 208)(164, 212)(165, 250)(166, 209)(167, 210)(168, 224)(169, 223)(170, 222)(171, 221)(172, 213)(173, 215)(174, 249)(175, 248)(176, 247)(177, 246)(178, 218)(179, 253)(180, 254)(181, 226)(182, 241)(183, 240)(184, 239)(185, 238)(186, 229)(187, 255)(188, 256)(189, 243)(190, 244)(191, 251)(192, 252)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1276
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1278 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 332>$ (small group id <128, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 17, 81, 145, 209, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 9, 73, 137, 201, 19, 83, 147, 211)(12, 76, 140, 204, 30, 94, 158, 222, 15, 79, 143, 207, 31, 95, 159, 223)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(20, 84, 148, 212, 40, 104, 168, 232, 23, 87, 151, 215, 41, 105, 169, 233)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 27, 91, 155, 219, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241, 28, 92, 156, 220, 50, 114, 178, 242)(29, 93, 157, 221, 51, 115, 179, 243, 32, 96, 160, 224, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 37, 101, 165, 229, 55, 119, 183, 247)(36, 100, 164, 228, 57, 121, 185, 249, 38, 102, 166, 230, 58, 122, 186, 250)(39, 103, 167, 231, 59, 123, 187, 251, 42, 106, 170, 234, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253, 48, 112, 176, 240, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 89)(11, 91)(12, 68)(13, 96)(14, 86)(15, 69)(16, 93)(17, 70)(18, 99)(19, 101)(20, 71)(21, 106)(22, 78)(23, 72)(24, 103)(25, 74)(26, 112)(27, 75)(28, 109)(29, 80)(30, 105)(31, 104)(32, 77)(33, 107)(34, 108)(35, 82)(36, 120)(37, 83)(38, 117)(39, 88)(40, 95)(41, 94)(42, 85)(43, 97)(44, 98)(45, 92)(46, 118)(47, 119)(48, 90)(49, 122)(50, 121)(51, 124)(52, 123)(53, 102)(54, 110)(55, 111)(56, 100)(57, 114)(58, 113)(59, 116)(60, 115)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 214)(138, 218)(139, 220)(140, 221)(141, 196)(142, 209)(143, 224)(144, 197)(145, 206)(146, 228)(147, 230)(148, 231)(149, 199)(150, 201)(151, 234)(152, 200)(153, 237)(154, 202)(155, 240)(156, 203)(157, 204)(158, 238)(159, 239)(160, 207)(161, 242)(162, 241)(163, 245)(164, 210)(165, 248)(166, 211)(167, 212)(168, 246)(169, 247)(170, 215)(171, 250)(172, 249)(173, 217)(174, 222)(175, 223)(176, 219)(177, 226)(178, 225)(179, 254)(180, 253)(181, 227)(182, 232)(183, 233)(184, 229)(185, 236)(186, 235)(187, 256)(188, 255)(189, 244)(190, 243)(191, 252)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1275
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1279 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, Y2^4, Y2^-1 * Y1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * Y3 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 34, 98)(16, 80, 24, 88)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(23, 87, 44, 108)(26, 90, 46, 110)(27, 91, 47, 111)(29, 93, 52, 116)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 51, 115)(35, 99, 55, 119)(37, 101, 56, 120)(39, 103, 61, 125)(43, 107, 60, 124)(45, 109, 64, 128)(48, 112, 57, 121)(49, 113, 58, 122)(50, 114, 59, 123)(53, 117, 62, 126)(54, 118, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 143, 207, 159, 223, 141, 205)(134, 198, 146, 210, 160, 224, 142, 206)(136, 200, 151, 215, 169, 233, 149, 213)(138, 202, 154, 218, 170, 234, 150, 214)(139, 203, 155, 219, 145, 209, 157, 221)(144, 208, 161, 225, 182, 246, 163, 227)(147, 211, 165, 229, 153, 217, 167, 231)(152, 216, 171, 235, 191, 255, 173, 237)(156, 220, 178, 242, 164, 228, 176, 240)(158, 222, 181, 245, 162, 226, 177, 241)(166, 230, 187, 251, 174, 238, 185, 249)(168, 232, 190, 254, 172, 236, 186, 250)(175, 239, 192, 256, 180, 244, 188, 252)(179, 243, 184, 248, 183, 247, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 149)(8, 152)(9, 151)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 163)(16, 134)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 173)(24, 138)(25, 174)(26, 137)(27, 176)(28, 179)(29, 178)(30, 139)(31, 182)(32, 140)(33, 142)(34, 145)(35, 146)(36, 183)(37, 185)(38, 188)(39, 187)(40, 147)(41, 191)(42, 148)(43, 150)(44, 153)(45, 154)(46, 192)(47, 186)(48, 184)(49, 155)(50, 189)(51, 158)(52, 190)(53, 157)(54, 160)(55, 162)(56, 177)(57, 175)(58, 165)(59, 180)(60, 168)(61, 181)(62, 167)(63, 170)(64, 172)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1282
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1280 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1 * Y2)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^4, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, (Y3 * Y2^-1 * Y1 * Y2)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 45, 109)(25, 89, 49, 113)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 53, 117)(32, 96, 54, 118)(34, 98, 55, 119)(36, 100, 59, 123)(41, 105, 63, 127)(43, 107, 64, 128)(46, 110, 58, 122)(47, 111, 60, 124)(48, 112, 56, 120)(50, 114, 57, 121)(51, 115, 61, 125)(52, 116, 62, 126)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 175, 239, 161, 225, 176, 240)(157, 221, 174, 238, 159, 223, 178, 242)(158, 222, 179, 243, 160, 224, 180, 244)(163, 227, 185, 249, 172, 236, 186, 250)(168, 232, 184, 248, 170, 234, 188, 252)(169, 233, 189, 253, 171, 235, 190, 254)(173, 237, 191, 255, 177, 241, 192, 256)(181, 245, 187, 251, 182, 246, 183, 247)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 174)(24, 137)(25, 178)(26, 138)(27, 179)(28, 180)(29, 181)(30, 140)(31, 182)(32, 141)(33, 142)(34, 184)(35, 144)(36, 188)(37, 145)(38, 189)(39, 190)(40, 191)(41, 147)(42, 192)(43, 148)(44, 149)(45, 186)(46, 151)(47, 187)(48, 183)(49, 185)(50, 153)(51, 155)(52, 156)(53, 157)(54, 159)(55, 176)(56, 162)(57, 177)(58, 173)(59, 175)(60, 164)(61, 166)(62, 167)(63, 168)(64, 170)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1281
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1281 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1735>$ (small group id <128, 1735>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, (Y3 * Y2^2)^2, (R * Y2 * Y3)^2, (Y2 * Y1 * Y2)^2, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 36, 100)(25, 89, 34, 98)(26, 90, 37, 101)(27, 91, 38, 102)(28, 92, 39, 103)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 56, 120)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 53, 117)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 173, 237, 159, 223, 176, 240)(158, 222, 177, 241, 160, 224, 178, 242)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 181, 245, 170, 234, 184, 248)(169, 233, 185, 249, 171, 235, 186, 250)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1280
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 131>)
Aut   = $<128, 1744>$ (small group id <128, 1744>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^2 * Y2^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 37, 101)(27, 91, 35, 99)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 56, 120)(49, 113, 57, 121)(50, 114, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 174, 238, 162, 226, 173, 237)(160, 224, 177, 241, 161, 225, 178, 242)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 182, 246, 172, 236, 181, 245)(170, 234, 185, 249, 171, 235, 186, 250)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1279
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 31, 95)(16, 80, 27, 91)(18, 82, 36, 100)(19, 83, 24, 88)(20, 84, 28, 92)(22, 86, 42, 106)(23, 87, 43, 107)(26, 90, 48, 112)(30, 94, 54, 118)(32, 96, 52, 116)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(37, 101, 49, 113)(38, 102, 47, 111)(39, 103, 53, 117)(40, 104, 44, 108)(41, 105, 51, 115)(55, 119, 63, 127)(56, 120, 62, 126)(57, 121, 61, 125)(58, 122, 60, 124)(59, 123, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 161, 225)(145, 209, 162, 226)(148, 212, 167, 231)(149, 213, 168, 232)(150, 214, 165, 229)(152, 216, 173, 237)(153, 217, 174, 238)(156, 220, 179, 243)(157, 221, 180, 244)(158, 222, 177, 241)(159, 223, 182, 246)(160, 224, 183, 247)(163, 227, 185, 249)(164, 228, 186, 250)(166, 230, 187, 251)(169, 233, 184, 248)(170, 234, 171, 235)(172, 236, 188, 252)(175, 239, 190, 254)(176, 240, 191, 255)(178, 242, 192, 256)(181, 245, 189, 253)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 160)(16, 135)(17, 163)(18, 165)(19, 166)(20, 137)(21, 169)(22, 138)(23, 172)(24, 139)(25, 175)(26, 177)(27, 178)(28, 141)(29, 181)(30, 142)(31, 173)(32, 143)(33, 171)(34, 184)(35, 145)(36, 187)(37, 146)(38, 147)(39, 186)(40, 185)(41, 149)(42, 183)(43, 161)(44, 151)(45, 159)(46, 189)(47, 153)(48, 192)(49, 154)(50, 155)(51, 191)(52, 190)(53, 157)(54, 188)(55, 170)(56, 162)(57, 168)(58, 167)(59, 164)(60, 182)(61, 174)(62, 180)(63, 179)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1288
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y2)^2, Y2^4, (Y3^-1 * Y1)^2, (Y2^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-1 * Y2^-1, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 20, 84)(12, 76, 23, 87)(13, 77, 26, 90)(14, 78, 21, 85)(15, 79, 28, 92)(16, 80, 27, 91)(17, 81, 22, 86)(18, 82, 25, 89)(19, 83, 24, 88)(29, 93, 42, 106)(30, 94, 41, 105)(31, 95, 48, 112)(32, 96, 47, 111)(33, 97, 49, 113)(34, 98, 50, 114)(35, 99, 44, 108)(36, 100, 43, 107)(37, 101, 45, 109)(38, 102, 46, 110)(39, 103, 52, 116)(40, 104, 51, 115)(53, 117, 62, 126)(54, 118, 61, 125)(55, 119, 60, 124)(56, 120, 59, 123)(57, 121, 63, 127)(58, 122, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 163, 227, 144, 208)(134, 198, 146, 210, 160, 224, 140, 204)(136, 200, 151, 215, 175, 239, 153, 217)(138, 202, 155, 219, 172, 236, 149, 213)(141, 205, 161, 225, 182, 246, 157, 221)(143, 207, 159, 223, 181, 245, 166, 230)(145, 209, 158, 222, 183, 247, 165, 229)(147, 211, 162, 226, 184, 248, 164, 228)(150, 214, 173, 237, 188, 252, 169, 233)(152, 216, 171, 235, 187, 251, 178, 242)(154, 218, 170, 234, 189, 253, 177, 241)(156, 220, 174, 238, 190, 254, 176, 240)(167, 231, 185, 249, 168, 232, 186, 250)(179, 243, 191, 255, 180, 244, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 149)(8, 152)(9, 154)(10, 130)(11, 157)(12, 159)(13, 131)(14, 133)(15, 165)(16, 167)(17, 166)(18, 164)(19, 134)(20, 169)(21, 171)(22, 135)(23, 137)(24, 177)(25, 179)(26, 178)(27, 176)(28, 138)(29, 181)(30, 139)(31, 144)(32, 185)(33, 147)(34, 141)(35, 184)(36, 142)(37, 186)(38, 182)(39, 183)(40, 146)(41, 187)(42, 148)(43, 153)(44, 191)(45, 156)(46, 150)(47, 190)(48, 151)(49, 192)(50, 188)(51, 189)(52, 155)(53, 160)(54, 168)(55, 162)(56, 158)(57, 163)(58, 161)(59, 172)(60, 180)(61, 174)(62, 170)(63, 175)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1287
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2 * Y3^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 22, 86)(9, 73, 29, 93)(12, 76, 34, 98)(13, 77, 24, 88)(14, 78, 28, 92)(15, 79, 26, 90)(16, 80, 32, 96)(17, 81, 25, 89)(19, 83, 31, 95)(20, 84, 30, 94)(21, 85, 27, 91)(23, 87, 47, 111)(33, 97, 46, 110)(35, 99, 50, 114)(36, 100, 53, 117)(37, 101, 48, 112)(38, 102, 54, 118)(39, 103, 56, 120)(40, 104, 49, 113)(41, 105, 51, 115)(42, 106, 58, 122)(43, 107, 52, 116)(44, 108, 57, 121)(45, 109, 55, 119)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 151, 215, 137, 201)(132, 196, 143, 207, 168, 232, 145, 209)(134, 198, 148, 212, 165, 229, 141, 205)(136, 200, 154, 218, 181, 245, 156, 220)(138, 202, 159, 223, 178, 242, 152, 216)(139, 203, 161, 225, 183, 247, 155, 219)(142, 206, 166, 230, 187, 251, 163, 227)(144, 208, 150, 214, 174, 238, 170, 234)(146, 210, 160, 224, 180, 244, 172, 236)(147, 211, 164, 228, 188, 252, 169, 233)(149, 213, 167, 231, 185, 249, 157, 221)(153, 217, 179, 243, 190, 254, 176, 240)(158, 222, 177, 241, 191, 255, 182, 246)(162, 226, 186, 250, 192, 256, 184, 248)(171, 235, 175, 239, 173, 237, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 152)(8, 155)(9, 158)(10, 130)(11, 156)(12, 163)(13, 150)(14, 131)(15, 133)(16, 169)(17, 171)(18, 154)(19, 170)(20, 157)(21, 134)(22, 145)(23, 176)(24, 139)(25, 135)(26, 137)(27, 182)(28, 184)(29, 143)(30, 183)(31, 146)(32, 138)(33, 178)(34, 181)(35, 174)(36, 140)(37, 175)(38, 149)(39, 142)(40, 185)(41, 189)(42, 187)(43, 188)(44, 177)(45, 148)(46, 165)(47, 168)(48, 161)(49, 151)(50, 162)(51, 160)(52, 153)(53, 172)(54, 192)(55, 190)(56, 191)(57, 164)(58, 159)(59, 173)(60, 167)(61, 166)(62, 186)(63, 180)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1286
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, (Y2^-1 * Y3 * Y1)^2, (Y2 * Y3 * Y1)^2, (Y3^2 * Y2^-1)^2, Y2^-1 * Y3^4 * Y2^-1, (Y3^-1 * Y2^-1 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 34, 98)(20, 84, 28, 92)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 57, 121)(42, 106, 59, 123)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 53, 117)(46, 110, 60, 124)(47, 111, 54, 118)(48, 112, 58, 122)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 151, 215, 174, 238)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 164, 228, 186, 250)(175, 239, 190, 254, 176, 240, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 156)(19, 174)(20, 133)(21, 159)(22, 152)(23, 134)(24, 145)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 143)(32, 186)(33, 137)(34, 146)(35, 139)(36, 138)(37, 181)(38, 183)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 177)(45, 178)(46, 142)(47, 150)(48, 149)(49, 169)(50, 171)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 165)(57, 166)(58, 155)(59, 163)(60, 162)(61, 173)(62, 172)(63, 185)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1285
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 2024>$ (small group id <128, 2024>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^2 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^4 * Y2^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (Y3^-1 * Y2^-1 * Y3^-1)^2, Y2 * R * Y2^2 * Y1 * R * Y2^-1 * Y1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 29, 93)(13, 77, 28, 92)(14, 78, 31, 95)(15, 79, 32, 96)(16, 80, 30, 94)(17, 81, 24, 88)(18, 82, 23, 87)(19, 83, 27, 91)(20, 84, 25, 89)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 48, 112)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 52, 116)(41, 105, 53, 117)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(57, 121, 63, 127)(58, 122, 62, 126)(59, 123, 61, 125)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 149, 213, 168, 232)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 160, 224, 180, 244)(169, 233, 187, 251, 171, 235, 185, 249)(170, 234, 188, 252, 172, 236, 186, 250)(181, 245, 191, 255, 183, 247, 189, 253)(182, 246, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 169)(15, 162)(16, 171)(17, 168)(18, 133)(19, 170)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 181)(26, 174)(27, 183)(28, 180)(29, 137)(30, 182)(31, 184)(32, 138)(33, 149)(34, 139)(35, 185)(36, 146)(37, 187)(38, 186)(39, 188)(40, 141)(41, 148)(42, 142)(43, 147)(44, 144)(45, 160)(46, 150)(47, 189)(48, 157)(49, 191)(50, 190)(51, 192)(52, 152)(53, 159)(54, 153)(55, 158)(56, 155)(57, 167)(58, 163)(59, 166)(60, 165)(61, 179)(62, 175)(63, 178)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1284
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1288 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 134>)
Aut   = $<128, 1746>$ (small group id <128, 1746>)
|r| :: 2
Presentation :: [ R^2, Y1^4, (R * Y1)^2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y2^-1)^2, Y2^4, (Y2 * Y3^-1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-1 * Y2^-1 * Y3 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^-4 * Y2^-1, Y2 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (Y2 * Y1^-2)^2, (Y1^-1 * R * Y2^-1)^2, Y2 * Y3^2 * Y2 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 32, 96, 16, 80)(4, 68, 18, 82, 54, 118, 21, 85)(6, 70, 25, 89, 30, 94, 27, 91)(7, 71, 28, 92, 41, 105, 10, 74)(9, 73, 34, 98, 24, 88, 37, 101)(11, 75, 42, 106, 22, 86, 44, 108)(12, 76, 45, 109, 61, 125, 31, 95)(14, 78, 35, 99, 56, 120, 47, 111)(15, 79, 49, 113, 57, 121, 36, 100)(17, 81, 53, 117, 58, 122, 38, 102)(19, 83, 51, 115, 59, 123, 39, 103)(20, 84, 40, 104, 60, 124, 50, 114)(23, 87, 33, 97, 63, 127, 48, 112)(26, 90, 55, 119, 62, 126, 43, 107)(29, 93, 46, 110, 64, 128, 52, 116)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 163, 227, 139, 203)(132, 196, 147, 211, 173, 237, 145, 209)(133, 197, 150, 214, 175, 239, 152, 216)(135, 199, 154, 218, 176, 240, 143, 207)(136, 200, 158, 222, 184, 248, 160, 224)(138, 202, 167, 231, 191, 255, 166, 230)(140, 204, 171, 235, 149, 213, 164, 228)(141, 205, 174, 238, 153, 217, 168, 232)(144, 208, 178, 242, 155, 219, 180, 244)(146, 210, 183, 247, 189, 253, 177, 241)(148, 212, 172, 236, 157, 221, 165, 229)(151, 215, 179, 243, 156, 220, 181, 245)(159, 223, 187, 251, 182, 246, 186, 250)(161, 225, 190, 254, 169, 233, 185, 249)(162, 226, 192, 256, 170, 234, 188, 252)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 151)(6, 154)(7, 129)(8, 159)(9, 164)(10, 168)(11, 171)(12, 130)(13, 166)(14, 173)(15, 165)(16, 179)(17, 131)(18, 133)(19, 134)(20, 176)(21, 163)(22, 177)(23, 178)(24, 183)(25, 167)(26, 172)(27, 181)(28, 180)(29, 135)(30, 185)(31, 188)(32, 190)(33, 136)(34, 186)(35, 191)(36, 153)(37, 147)(38, 137)(39, 139)(40, 149)(41, 184)(42, 187)(43, 141)(44, 145)(45, 157)(46, 140)(47, 156)(48, 142)(49, 144)(50, 189)(51, 152)(52, 146)(53, 150)(54, 192)(55, 155)(56, 182)(57, 170)(58, 158)(59, 160)(60, 169)(61, 175)(62, 162)(63, 174)(64, 161)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1283
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1289 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3 * Y2 * Y3^-1 * Y2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y1 * Y2 * Y1 * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 44, 108)(27, 91, 33, 97)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 32, 96)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 55, 119)(43, 107, 58, 122)(45, 109, 52, 116)(46, 110, 60, 124)(47, 111, 59, 123)(48, 112, 53, 117)(49, 113, 57, 121)(50, 114, 56, 120)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 177, 241)(157, 221, 178, 242)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(169, 233, 182, 246)(172, 236, 179, 243)(174, 238, 189, 253)(175, 239, 190, 254)(184, 248, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 181)(42, 179)(43, 149)(44, 151)(45, 189)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 171)(52, 169)(53, 159)(54, 161)(55, 191)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 176)(62, 173)(63, 186)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1294
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1290 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y2^-1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, (R * Y3)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1, Y2^-1 * Y3^2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 22, 86)(9, 73, 29, 93)(12, 76, 23, 87)(13, 77, 35, 99)(14, 78, 31, 95)(15, 79, 42, 106)(16, 80, 32, 96)(17, 81, 30, 94)(19, 83, 28, 92)(20, 84, 25, 89)(21, 85, 27, 91)(24, 88, 49, 113)(26, 90, 56, 120)(33, 97, 47, 111)(34, 98, 48, 112)(36, 100, 51, 115)(37, 101, 50, 114)(38, 102, 60, 124)(39, 103, 57, 121)(40, 104, 59, 123)(41, 105, 58, 122)(43, 107, 53, 117)(44, 108, 55, 119)(45, 109, 54, 118)(46, 110, 52, 116)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 151, 215, 137, 201)(132, 196, 143, 207, 171, 235, 145, 209)(134, 198, 148, 212, 167, 231, 141, 205)(136, 200, 154, 218, 185, 249, 156, 220)(138, 202, 159, 223, 181, 245, 152, 216)(139, 203, 161, 225, 146, 210, 162, 226)(142, 206, 168, 232, 177, 241, 164, 228)(144, 208, 166, 230, 189, 253, 174, 238)(147, 211, 165, 229, 184, 248, 173, 237)(149, 213, 169, 233, 190, 254, 172, 236)(150, 214, 175, 239, 157, 221, 176, 240)(153, 217, 182, 246, 163, 227, 178, 242)(155, 219, 180, 244, 191, 255, 188, 252)(158, 222, 179, 243, 170, 234, 187, 251)(160, 224, 183, 247, 192, 256, 186, 250)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 152)(8, 155)(9, 158)(10, 130)(11, 159)(12, 164)(13, 166)(14, 131)(15, 133)(16, 173)(17, 157)(18, 170)(19, 174)(20, 172)(21, 134)(22, 148)(23, 178)(24, 180)(25, 135)(26, 137)(27, 187)(28, 146)(29, 184)(30, 188)(31, 186)(32, 138)(33, 182)(34, 185)(35, 139)(36, 189)(37, 140)(38, 145)(39, 176)(40, 149)(41, 142)(42, 183)(43, 190)(44, 143)(45, 175)(46, 177)(47, 168)(48, 171)(49, 150)(50, 191)(51, 151)(52, 156)(53, 162)(54, 160)(55, 153)(56, 169)(57, 192)(58, 154)(59, 161)(60, 163)(61, 167)(62, 165)(63, 181)(64, 179)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1293
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1291 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (Y2^-1 * Y3^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y3^2 * Y2^-1 * Y3^-1, Y2^-2 * Y1 * Y3 * Y2^2 * Y3^-1 * Y1, Y3^2 * Y2^-2 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 22, 86)(9, 73, 29, 93)(12, 76, 35, 99)(13, 77, 34, 98)(14, 78, 25, 89)(15, 79, 41, 105)(16, 80, 32, 96)(17, 81, 28, 92)(19, 83, 30, 94)(20, 84, 31, 95)(21, 85, 27, 91)(23, 87, 50, 114)(24, 88, 49, 113)(26, 90, 56, 120)(33, 97, 48, 112)(36, 100, 54, 118)(37, 101, 57, 121)(38, 102, 60, 124)(39, 103, 51, 115)(40, 104, 59, 123)(42, 106, 52, 116)(43, 107, 62, 126)(44, 108, 55, 119)(45, 109, 53, 117)(46, 110, 61, 125)(47, 111, 58, 122)(63, 127, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 151, 215, 137, 201)(132, 196, 143, 207, 170, 234, 145, 209)(134, 198, 148, 212, 167, 231, 141, 205)(136, 200, 154, 218, 185, 249, 156, 220)(138, 202, 159, 223, 182, 246, 152, 216)(139, 203, 161, 225, 186, 250, 160, 224)(142, 206, 168, 232, 184, 248, 164, 228)(144, 208, 166, 230, 189, 253, 157, 221)(146, 210, 155, 219, 181, 245, 174, 238)(147, 211, 165, 229, 177, 241, 172, 236)(149, 213, 150, 214, 176, 240, 171, 235)(153, 217, 183, 247, 169, 233, 179, 243)(158, 222, 180, 244, 162, 226, 187, 251)(163, 227, 190, 254, 192, 256, 188, 252)(173, 237, 178, 242, 175, 239, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 152)(8, 155)(9, 158)(10, 130)(11, 153)(12, 164)(13, 166)(14, 131)(15, 133)(16, 172)(17, 173)(18, 169)(19, 157)(20, 171)(21, 134)(22, 142)(23, 179)(24, 181)(25, 135)(26, 137)(27, 187)(28, 188)(29, 184)(30, 146)(31, 186)(32, 138)(33, 180)(34, 139)(35, 185)(36, 189)(37, 140)(38, 145)(39, 178)(40, 149)(41, 190)(42, 176)(43, 143)(44, 191)(45, 177)(46, 182)(47, 148)(48, 165)(49, 150)(50, 170)(51, 174)(52, 151)(53, 156)(54, 163)(55, 160)(56, 175)(57, 161)(58, 154)(59, 192)(60, 162)(61, 167)(62, 159)(63, 168)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1292
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1292 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-3 * Y2^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y1, Y3^2 * Y2 * Y3^-2 * Y2^-1, (Y3 * Y2)^4, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 35, 99)(20, 84, 30, 94)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 52, 116)(40, 104, 51, 115)(41, 105, 57, 121)(42, 106, 60, 124)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 53, 117)(46, 110, 59, 123)(47, 111, 58, 122)(48, 112, 54, 118)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 168, 232, 150, 214)(136, 200, 156, 220, 179, 243, 158, 222)(138, 202, 162, 226, 180, 244, 163, 227)(139, 203, 165, 229, 146, 210, 166, 230)(141, 205, 169, 233, 147, 211, 171, 235)(142, 206, 172, 236, 148, 212, 173, 237)(144, 208, 170, 234, 151, 215, 174, 238)(152, 216, 177, 241, 159, 223, 178, 242)(154, 218, 181, 245, 160, 224, 183, 247)(155, 219, 184, 248, 161, 225, 185, 249)(157, 221, 182, 246, 164, 228, 186, 250)(175, 239, 190, 254, 176, 240, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 167)(13, 170)(14, 131)(15, 175)(16, 168)(17, 176)(18, 158)(19, 174)(20, 133)(21, 152)(22, 159)(23, 134)(24, 143)(25, 179)(26, 182)(27, 135)(28, 187)(29, 180)(30, 188)(31, 145)(32, 186)(33, 137)(34, 139)(35, 146)(36, 138)(37, 183)(38, 181)(39, 151)(40, 140)(41, 189)(42, 148)(43, 190)(44, 178)(45, 177)(46, 142)(47, 150)(48, 149)(49, 171)(50, 169)(51, 164)(52, 153)(53, 191)(54, 161)(55, 192)(56, 166)(57, 165)(58, 155)(59, 163)(60, 162)(61, 173)(62, 172)(63, 185)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1291
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1293 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 2020>$ (small group id <128, 2020>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (R * Y1)^2, (Y3^-1 * Y1)^2, Y2^4, (R * Y3)^2, Y2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^2)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y3^2 * Y2)^2, Y3^-2 * Y2 * Y3^2 * Y2^-1, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 10, 74)(5, 69, 9, 73)(6, 70, 8, 72)(11, 75, 22, 86)(12, 76, 24, 88)(13, 77, 23, 87)(14, 78, 30, 94)(15, 79, 32, 96)(16, 80, 31, 95)(17, 81, 29, 93)(18, 82, 28, 92)(19, 83, 25, 89)(20, 84, 27, 91)(21, 85, 26, 90)(33, 97, 46, 110)(34, 98, 45, 109)(35, 99, 50, 114)(36, 100, 52, 116)(37, 101, 51, 115)(38, 102, 47, 111)(39, 103, 49, 113)(40, 104, 48, 112)(41, 105, 55, 119)(42, 106, 54, 118)(43, 107, 53, 117)(44, 108, 56, 120)(57, 121, 63, 127)(58, 122, 62, 126)(59, 123, 61, 125)(60, 124, 64, 128)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 147, 211, 162, 226, 148, 212)(136, 200, 153, 217, 173, 237, 155, 219)(138, 202, 158, 222, 174, 238, 159, 223)(140, 204, 163, 227, 145, 209, 165, 229)(141, 205, 166, 230, 146, 210, 167, 231)(143, 207, 164, 228, 149, 213, 168, 232)(151, 215, 175, 239, 156, 220, 177, 241)(152, 216, 178, 242, 157, 221, 179, 243)(154, 218, 176, 240, 160, 224, 180, 244)(169, 233, 187, 251, 171, 235, 185, 249)(170, 234, 188, 252, 172, 236, 186, 250)(181, 245, 191, 255, 183, 247, 189, 253)(182, 246, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 151)(8, 154)(9, 156)(10, 130)(11, 161)(12, 164)(13, 131)(14, 169)(15, 162)(16, 171)(17, 168)(18, 133)(19, 170)(20, 172)(21, 134)(22, 173)(23, 176)(24, 135)(25, 181)(26, 174)(27, 183)(28, 180)(29, 137)(30, 182)(31, 184)(32, 138)(33, 149)(34, 139)(35, 185)(36, 146)(37, 187)(38, 186)(39, 188)(40, 141)(41, 148)(42, 142)(43, 147)(44, 144)(45, 160)(46, 150)(47, 189)(48, 157)(49, 191)(50, 190)(51, 192)(52, 152)(53, 159)(54, 153)(55, 158)(56, 155)(57, 167)(58, 163)(59, 166)(60, 165)(61, 179)(62, 175)(63, 178)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1290
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1294 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 135>)
Aut   = $<128, 1753>$ (small group id <128, 1753>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, Y1^4, (R * Y1)^2, (Y3 * Y1)^2, Y2^4, Y2^-1 * Y3^-1 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y1^-1 * Y3^2 * Y2 * Y1 * Y2^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2 * Y1^-1, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y1^-1 * R * Y2 * Y1^-1 * R * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 32, 96, 16, 80)(4, 68, 18, 82, 54, 118, 21, 85)(6, 70, 25, 89, 30, 94, 27, 91)(7, 71, 28, 92, 41, 105, 10, 74)(9, 73, 34, 98, 24, 88, 37, 101)(11, 75, 42, 106, 22, 86, 44, 108)(12, 76, 45, 109, 61, 125, 31, 95)(14, 78, 35, 99, 56, 120, 47, 111)(15, 79, 49, 113, 57, 121, 43, 107)(17, 81, 53, 117, 58, 122, 39, 103)(19, 83, 51, 115, 59, 123, 38, 102)(20, 84, 40, 104, 60, 124, 52, 116)(23, 87, 33, 97, 63, 127, 48, 112)(26, 90, 55, 119, 62, 126, 36, 100)(29, 93, 46, 110, 64, 128, 50, 114)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 163, 227, 139, 203)(132, 196, 147, 211, 173, 237, 145, 209)(133, 197, 150, 214, 175, 239, 152, 216)(135, 199, 154, 218, 176, 240, 143, 207)(136, 200, 158, 222, 184, 248, 160, 224)(138, 202, 167, 231, 191, 255, 166, 230)(140, 204, 171, 235, 149, 213, 164, 228)(141, 205, 168, 232, 153, 217, 174, 238)(144, 208, 178, 242, 155, 219, 180, 244)(146, 210, 177, 241, 189, 253, 183, 247)(148, 212, 165, 229, 157, 221, 172, 236)(151, 215, 181, 245, 156, 220, 179, 243)(159, 223, 187, 251, 182, 246, 186, 250)(161, 225, 190, 254, 169, 233, 185, 249)(162, 226, 188, 252, 170, 234, 192, 256)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 151)(6, 154)(7, 129)(8, 159)(9, 164)(10, 168)(11, 171)(12, 130)(13, 167)(14, 173)(15, 172)(16, 179)(17, 131)(18, 133)(19, 134)(20, 176)(21, 163)(22, 183)(23, 180)(24, 177)(25, 166)(26, 165)(27, 181)(28, 178)(29, 135)(30, 185)(31, 188)(32, 190)(33, 136)(34, 187)(35, 191)(36, 141)(37, 145)(38, 137)(39, 139)(40, 149)(41, 184)(42, 186)(43, 153)(44, 147)(45, 157)(46, 140)(47, 156)(48, 142)(49, 144)(50, 146)(51, 150)(52, 189)(53, 152)(54, 192)(55, 155)(56, 182)(57, 162)(58, 158)(59, 160)(60, 169)(61, 175)(62, 170)(63, 174)(64, 161)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1289
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1295 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y2^2)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, Y2^-2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1, Y3 * Y2 * Y1 * Y2^-2 * Y1 * Y3 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 40, 104)(18, 82, 38, 102)(19, 83, 44, 108)(20, 84, 46, 110)(22, 86, 49, 113)(23, 87, 37, 101)(25, 89, 48, 112)(27, 91, 43, 107)(28, 92, 42, 106)(29, 93, 41, 105)(31, 95, 51, 115)(33, 97, 57, 121)(34, 98, 39, 103)(36, 100, 50, 114)(45, 109, 58, 122)(47, 111, 64, 128)(52, 116, 59, 123)(53, 117, 62, 126)(54, 118, 61, 125)(55, 119, 60, 124)(56, 120, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 169, 233, 148, 212)(137, 201, 151, 215, 179, 243, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 185, 249, 164, 228)(144, 208, 165, 229, 186, 250, 167, 231)(146, 210, 170, 234, 150, 214, 171, 235)(149, 213, 176, 240, 192, 256, 178, 242)(152, 216, 181, 245, 158, 222, 182, 246)(154, 218, 173, 237, 191, 255, 175, 239)(159, 223, 184, 248, 161, 225, 168, 232)(160, 224, 183, 247, 163, 227, 180, 244)(166, 230, 188, 252, 172, 236, 189, 253)(174, 238, 190, 254, 177, 241, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 169)(18, 134)(19, 173)(20, 175)(21, 177)(22, 136)(23, 180)(24, 137)(25, 183)(26, 171)(27, 138)(28, 184)(29, 168)(30, 179)(31, 140)(32, 185)(33, 141)(34, 181)(35, 142)(36, 182)(37, 187)(38, 144)(39, 190)(40, 157)(41, 145)(42, 191)(43, 154)(44, 186)(45, 147)(46, 192)(47, 148)(48, 188)(49, 149)(50, 189)(51, 158)(52, 151)(53, 162)(54, 164)(55, 153)(56, 156)(57, 160)(58, 172)(59, 165)(60, 176)(61, 178)(62, 167)(63, 170)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1296
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 136>)
Aut   = $<128, 1751>$ (small group id <128, 1751>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2^-2)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (R * Y2 * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 36, 100)(25, 89, 34, 98)(26, 90, 37, 101)(27, 91, 39, 103)(28, 92, 38, 102)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 56, 120)(46, 110, 54, 118)(47, 111, 55, 119)(48, 112, 53, 117)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 176, 240, 159, 223, 173, 237)(158, 222, 177, 241, 160, 224, 178, 242)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 184, 248, 170, 234, 181, 245)(169, 233, 185, 249, 171, 235, 186, 250)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1295
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 137>)
Aut   = $<128, 1750>$ (small group id <128, 1750>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^4, R * Y2 * R * Y2^-1, Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y1, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 35, 99)(16, 80, 24, 88)(18, 82, 38, 102)(20, 84, 44, 108)(21, 85, 43, 107)(22, 86, 41, 105)(23, 87, 48, 112)(26, 90, 51, 115)(27, 91, 40, 104)(29, 93, 50, 114)(32, 96, 45, 109)(33, 97, 46, 110)(34, 98, 57, 121)(36, 100, 53, 117)(37, 101, 42, 106)(39, 103, 52, 116)(47, 111, 63, 127)(49, 113, 59, 123)(54, 118, 61, 125)(55, 119, 60, 124)(56, 120, 62, 126)(58, 122, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 143, 207, 160, 224, 141, 205)(134, 198, 146, 210, 161, 225, 142, 206)(136, 200, 151, 215, 173, 237, 149, 213)(138, 202, 154, 218, 174, 238, 150, 214)(139, 203, 155, 219, 181, 245, 157, 221)(144, 208, 162, 226, 172, 236, 164, 228)(145, 209, 165, 229, 185, 249, 167, 231)(147, 211, 168, 232, 187, 251, 170, 234)(152, 216, 175, 239, 159, 223, 177, 241)(153, 217, 178, 242, 191, 255, 180, 244)(156, 220, 184, 248, 163, 227, 182, 246)(158, 222, 186, 250, 166, 230, 183, 247)(169, 233, 190, 254, 176, 240, 188, 252)(171, 235, 192, 256, 179, 243, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 149)(8, 152)(9, 151)(10, 130)(11, 156)(12, 160)(13, 162)(14, 131)(15, 164)(16, 134)(17, 166)(18, 133)(19, 169)(20, 173)(21, 175)(22, 135)(23, 177)(24, 138)(25, 179)(26, 137)(27, 182)(28, 185)(29, 184)(30, 139)(31, 174)(32, 172)(33, 140)(34, 142)(35, 145)(36, 146)(37, 186)(38, 181)(39, 183)(40, 188)(41, 191)(42, 190)(43, 147)(44, 161)(45, 159)(46, 148)(47, 150)(48, 153)(49, 154)(50, 192)(51, 187)(52, 189)(53, 163)(54, 167)(55, 155)(56, 165)(57, 158)(58, 157)(59, 176)(60, 180)(61, 168)(62, 178)(63, 171)(64, 170)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1298
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C2) : C2 (small group id <64, 137>)
Aut   = $<128, 1750>$ (small group id <128, 1750>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-2 * Y2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 37, 101)(27, 91, 35, 99)(29, 93, 39, 103)(30, 94, 40, 104)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 53, 117)(46, 110, 54, 118)(47, 111, 56, 120)(48, 112, 55, 119)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 173, 237, 162, 226, 174, 238)(160, 224, 177, 241, 161, 225, 178, 242)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 181, 245, 172, 236, 182, 246)(170, 234, 185, 249, 171, 235, 186, 250)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1297
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^4, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^4, (R * Y2 * Y1 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 7, 71)(4, 68, 9, 73)(5, 69, 11, 75)(6, 70, 13, 77)(8, 72, 17, 81)(10, 74, 21, 85)(12, 76, 25, 89)(14, 78, 29, 93)(15, 79, 23, 87)(16, 80, 27, 91)(18, 82, 35, 99)(19, 83, 24, 88)(20, 84, 28, 92)(22, 86, 41, 105)(26, 90, 46, 110)(30, 94, 52, 116)(31, 95, 44, 108)(32, 96, 50, 114)(33, 97, 42, 106)(34, 98, 48, 112)(36, 100, 47, 111)(37, 101, 45, 109)(38, 102, 51, 115)(39, 103, 43, 107)(40, 104, 49, 113)(53, 117, 63, 127)(54, 118, 60, 124)(55, 119, 61, 125)(56, 120, 62, 126)(57, 121, 59, 123)(58, 122, 64, 128)(129, 193, 131, 195)(130, 194, 133, 197)(132, 196, 138, 202)(134, 198, 142, 206)(135, 199, 143, 207)(136, 200, 146, 210)(137, 201, 147, 211)(139, 203, 151, 215)(140, 204, 154, 218)(141, 205, 155, 219)(144, 208, 160, 224)(145, 209, 161, 225)(148, 212, 166, 230)(149, 213, 167, 231)(150, 214, 164, 228)(152, 216, 171, 235)(153, 217, 172, 236)(156, 220, 177, 241)(157, 221, 178, 242)(158, 222, 175, 239)(159, 223, 181, 245)(162, 226, 184, 248)(163, 227, 185, 249)(165, 229, 186, 250)(168, 232, 183, 247)(169, 233, 182, 246)(170, 234, 187, 251)(173, 237, 190, 254)(174, 238, 191, 255)(176, 240, 192, 256)(179, 243, 189, 253)(180, 244, 188, 252)
	L = (1, 132)(2, 134)(3, 136)(4, 129)(5, 140)(6, 130)(7, 144)(8, 131)(9, 148)(10, 150)(11, 152)(12, 133)(13, 156)(14, 158)(15, 159)(16, 135)(17, 162)(18, 164)(19, 165)(20, 137)(21, 168)(22, 138)(23, 170)(24, 139)(25, 173)(26, 175)(27, 176)(28, 141)(29, 179)(30, 142)(31, 143)(32, 182)(33, 183)(34, 145)(35, 186)(36, 146)(37, 147)(38, 185)(39, 184)(40, 149)(41, 181)(42, 151)(43, 188)(44, 189)(45, 153)(46, 192)(47, 154)(48, 155)(49, 191)(50, 190)(51, 157)(52, 187)(53, 169)(54, 160)(55, 161)(56, 167)(57, 166)(58, 163)(59, 180)(60, 171)(61, 172)(62, 178)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1310
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y2 * Y3^-1 * Y2, (R * Y2)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1)^4, (Y2 * Y1 * Y3^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 31, 95)(22, 86, 40, 104)(23, 87, 37, 101)(25, 89, 43, 107)(27, 91, 33, 97)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 32, 96)(35, 99, 52, 116)(41, 105, 56, 120)(42, 106, 53, 117)(44, 108, 51, 115)(45, 109, 58, 122)(46, 110, 57, 121)(47, 111, 50, 114)(48, 112, 55, 119)(49, 113, 54, 118)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 169, 233)(151, 215, 170, 234)(152, 216, 172, 236)(154, 218, 175, 239)(156, 220, 176, 240)(157, 221, 177, 241)(160, 224, 178, 242)(161, 225, 179, 243)(162, 226, 181, 245)(164, 228, 184, 248)(166, 230, 185, 249)(167, 231, 186, 250)(171, 235, 187, 251)(173, 237, 188, 252)(174, 238, 189, 253)(180, 244, 190, 254)(182, 246, 191, 255)(183, 247, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 169)(22, 171)(23, 137)(24, 173)(25, 139)(26, 174)(27, 176)(28, 142)(29, 140)(30, 177)(31, 178)(32, 180)(33, 143)(34, 182)(35, 145)(36, 183)(37, 185)(38, 148)(39, 146)(40, 186)(41, 187)(42, 149)(43, 151)(44, 188)(45, 154)(46, 152)(47, 189)(48, 158)(49, 155)(50, 190)(51, 159)(52, 161)(53, 191)(54, 164)(55, 162)(56, 192)(57, 168)(58, 165)(59, 170)(60, 175)(61, 172)(62, 179)(63, 184)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1309
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3^4, Y2^4, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2, (Y2 * Y3^-1 * Y1)^2, (Y3 * Y2^-2)^2, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y2^-1 * Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3 * Y1)^2, Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y3 * Y1 * Y2^2 * Y3 * Y1 * Y2^-1, Y2^-2 * Y1 * Y2^-1 * Y3^2 * Y2^-1 * Y1, Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 34, 98)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 33, 97)(20, 84, 27, 91)(21, 85, 31, 95)(22, 86, 25, 89)(24, 88, 52, 116)(35, 99, 64, 128)(36, 100, 51, 115)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 62, 126)(42, 106, 57, 121)(43, 107, 55, 119)(44, 108, 59, 123)(45, 109, 61, 125)(46, 110, 60, 124)(47, 111, 56, 120)(48, 112, 63, 127)(49, 113, 50, 114)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 188, 252, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 190, 254, 177, 241)(151, 215, 178, 242, 173, 237, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 175, 239, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 166)(13, 169)(14, 131)(15, 173)(16, 134)(17, 175)(18, 155)(19, 174)(20, 133)(21, 158)(22, 151)(23, 145)(24, 181)(25, 184)(26, 135)(27, 188)(28, 138)(29, 190)(30, 143)(31, 189)(32, 137)(33, 146)(34, 139)(35, 187)(36, 183)(37, 182)(38, 180)(39, 140)(40, 191)(41, 142)(42, 178)(43, 179)(44, 192)(45, 149)(46, 148)(47, 150)(48, 186)(49, 185)(50, 172)(51, 168)(52, 167)(53, 165)(54, 152)(55, 176)(56, 154)(57, 163)(58, 164)(59, 177)(60, 161)(61, 160)(62, 162)(63, 171)(64, 170)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1302 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y3)^4, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3, (Y2^-1 * Y3 * Y2 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 25, 89)(11, 75, 20, 84)(12, 76, 22, 86)(13, 77, 18, 82)(15, 79, 19, 83)(17, 81, 36, 100)(23, 87, 42, 106)(24, 88, 35, 99)(26, 90, 40, 104)(27, 91, 38, 102)(28, 92, 43, 107)(29, 93, 37, 101)(30, 94, 41, 105)(31, 95, 34, 98)(32, 96, 39, 103)(33, 97, 44, 108)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 59, 123)(48, 112, 60, 124)(49, 113, 58, 122)(50, 114, 57, 121)(51, 115, 55, 119)(52, 116, 56, 120)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 157, 221, 141, 205)(135, 199, 147, 211, 168, 232, 148, 212)(137, 201, 151, 215, 173, 237, 152, 216)(139, 203, 155, 219, 178, 242, 156, 220)(142, 206, 158, 222, 179, 243, 159, 223)(143, 207, 160, 224, 180, 244, 161, 225)(144, 208, 162, 226, 181, 245, 163, 227)(146, 210, 166, 230, 186, 250, 167, 231)(149, 213, 169, 233, 187, 251, 170, 234)(150, 214, 171, 235, 188, 252, 172, 236)(153, 217, 174, 238, 189, 253, 175, 239)(154, 218, 176, 240, 190, 254, 177, 241)(164, 228, 182, 246, 191, 255, 183, 247)(165, 229, 184, 248, 192, 256, 185, 249)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 148)(10, 154)(11, 131)(12, 149)(13, 144)(14, 147)(15, 133)(16, 141)(17, 165)(18, 134)(19, 142)(20, 137)(21, 140)(22, 136)(23, 171)(24, 166)(25, 168)(26, 138)(27, 163)(28, 170)(29, 164)(30, 172)(31, 167)(32, 162)(33, 169)(34, 160)(35, 155)(36, 157)(37, 145)(38, 152)(39, 159)(40, 153)(41, 161)(42, 156)(43, 151)(44, 158)(45, 185)(46, 186)(47, 188)(48, 187)(49, 181)(50, 182)(51, 184)(52, 183)(53, 177)(54, 178)(55, 180)(56, 179)(57, 173)(58, 174)(59, 176)(60, 175)(61, 192)(62, 191)(63, 190)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1303 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1759>$ (small group id <128, 1759>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1)^2, Y2^4, Y3^-2 * Y2 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 10, 74)(5, 69, 7, 71)(6, 70, 8, 72)(11, 75, 21, 85)(12, 76, 28, 92)(13, 77, 27, 91)(14, 78, 30, 94)(15, 79, 25, 89)(16, 80, 29, 93)(17, 81, 23, 87)(18, 82, 22, 86)(19, 83, 26, 90)(20, 84, 24, 88)(31, 95, 44, 108)(32, 96, 43, 107)(33, 97, 45, 109)(34, 98, 52, 116)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 49, 113)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 46, 110)(41, 105, 50, 114)(42, 106, 51, 115)(55, 119, 60, 124)(56, 120, 62, 126)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(129, 193, 131, 195, 139, 203, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 160, 224, 144, 208)(134, 198, 147, 211, 159, 223, 148, 212)(136, 200, 152, 216, 172, 236, 154, 218)(138, 202, 157, 221, 171, 235, 158, 222)(140, 204, 161, 225, 146, 210, 163, 227)(141, 205, 164, 228, 145, 209, 165, 229)(143, 207, 162, 226, 183, 247, 168, 232)(150, 214, 173, 237, 156, 220, 175, 239)(151, 215, 176, 240, 155, 219, 177, 241)(153, 217, 174, 238, 188, 252, 180, 244)(166, 230, 185, 249, 170, 234, 186, 250)(167, 231, 184, 248, 169, 233, 187, 251)(178, 242, 190, 254, 182, 246, 191, 255)(179, 243, 189, 253, 181, 245, 192, 256)
	L = (1, 132)(2, 136)(3, 140)(4, 143)(5, 145)(6, 129)(7, 150)(8, 153)(9, 155)(10, 130)(11, 159)(12, 162)(13, 131)(14, 166)(15, 134)(16, 169)(17, 168)(18, 133)(19, 167)(20, 170)(21, 171)(22, 174)(23, 135)(24, 178)(25, 138)(26, 181)(27, 180)(28, 137)(29, 179)(30, 182)(31, 183)(32, 139)(33, 184)(34, 141)(35, 186)(36, 185)(37, 187)(38, 147)(39, 142)(40, 146)(41, 148)(42, 144)(43, 188)(44, 149)(45, 189)(46, 151)(47, 191)(48, 190)(49, 192)(50, 157)(51, 152)(52, 156)(53, 158)(54, 154)(55, 160)(56, 164)(57, 161)(58, 165)(59, 163)(60, 172)(61, 176)(62, 173)(63, 177)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1304 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-1 * Y1)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3)^4, (Y2^-1 * Y3 * Y2 * Y3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 8, 72)(4, 68, 7, 71)(5, 69, 6, 70)(9, 73, 14, 78)(10, 74, 18, 82)(11, 75, 17, 81)(12, 76, 16, 80)(13, 77, 15, 79)(19, 83, 27, 91)(20, 84, 34, 98)(21, 85, 33, 97)(22, 86, 30, 94)(23, 87, 32, 96)(24, 88, 31, 95)(25, 89, 29, 93)(26, 90, 28, 92)(35, 99, 45, 109)(36, 100, 44, 108)(37, 101, 52, 116)(38, 102, 50, 114)(39, 103, 51, 115)(40, 104, 49, 113)(41, 105, 47, 111)(42, 106, 48, 112)(43, 107, 46, 110)(53, 117, 58, 122)(54, 118, 60, 124)(55, 119, 59, 123)(56, 120, 62, 126)(57, 121, 61, 125)(63, 127, 64, 128)(129, 193, 131, 195, 137, 201, 133, 197)(130, 194, 134, 198, 142, 206, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 158, 222, 145, 209)(138, 202, 148, 212, 165, 229, 149, 213)(141, 205, 153, 217, 171, 235, 154, 218)(143, 207, 156, 220, 174, 238, 157, 221)(146, 210, 161, 225, 180, 244, 162, 226)(147, 211, 163, 227, 181, 245, 164, 228)(151, 215, 169, 233, 182, 246, 167, 231)(152, 216, 170, 234, 183, 247, 166, 230)(155, 219, 172, 236, 186, 250, 173, 237)(159, 223, 178, 242, 187, 251, 176, 240)(160, 224, 179, 243, 188, 252, 175, 239)(168, 232, 184, 248, 191, 255, 185, 249)(177, 241, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 138)(4, 129)(5, 141)(6, 143)(7, 130)(8, 146)(9, 147)(10, 131)(11, 151)(12, 152)(13, 133)(14, 155)(15, 134)(16, 159)(17, 160)(18, 136)(19, 137)(20, 166)(21, 167)(22, 168)(23, 139)(24, 140)(25, 170)(26, 169)(27, 142)(28, 175)(29, 176)(30, 177)(31, 144)(32, 145)(33, 179)(34, 178)(35, 182)(36, 183)(37, 184)(38, 148)(39, 149)(40, 150)(41, 154)(42, 153)(43, 185)(44, 187)(45, 188)(46, 189)(47, 156)(48, 157)(49, 158)(50, 162)(51, 161)(52, 190)(53, 191)(54, 163)(55, 164)(56, 165)(57, 171)(58, 192)(59, 172)(60, 173)(61, 174)(62, 180)(63, 181)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1305 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y2^4, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1, (Y3^2 * Y2^2)^2, Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y3^-1, (Y3 * Y2^-1)^4, Y2^-1 * Y3 * Y2^-2 * Y3^-2 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 21, 85)(9, 73, 28, 92)(12, 76, 33, 97)(13, 77, 23, 87)(14, 78, 24, 88)(15, 79, 38, 102)(16, 80, 26, 90)(17, 81, 27, 91)(19, 83, 30, 94)(20, 84, 29, 93)(22, 86, 48, 112)(25, 89, 53, 117)(31, 95, 58, 122)(32, 96, 47, 111)(34, 98, 51, 115)(35, 99, 54, 118)(36, 100, 49, 113)(37, 101, 59, 123)(39, 103, 50, 114)(40, 104, 60, 124)(41, 105, 57, 121)(42, 106, 56, 120)(43, 107, 46, 110)(44, 108, 52, 116)(45, 109, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 148, 212, 164, 228, 141, 205)(136, 200, 153, 217, 182, 246, 155, 219)(138, 202, 158, 222, 179, 243, 151, 215)(139, 203, 159, 223, 183, 247, 160, 224)(142, 206, 165, 229, 181, 245, 162, 226)(144, 208, 169, 233, 186, 250, 156, 220)(146, 210, 154, 218, 184, 248, 171, 235)(147, 211, 163, 227, 189, 253, 172, 236)(149, 213, 174, 238, 168, 232, 175, 239)(152, 216, 180, 244, 166, 230, 177, 241)(157, 221, 178, 242, 191, 255, 187, 251)(161, 225, 188, 252, 192, 256, 185, 249)(170, 234, 176, 240, 173, 237, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 151)(8, 154)(9, 157)(10, 130)(11, 152)(12, 162)(13, 149)(14, 131)(15, 133)(16, 134)(17, 170)(18, 166)(19, 168)(20, 156)(21, 142)(22, 177)(23, 139)(24, 135)(25, 137)(26, 138)(27, 185)(28, 181)(29, 183)(30, 146)(31, 179)(32, 187)(33, 182)(34, 186)(35, 140)(36, 176)(37, 175)(38, 188)(39, 174)(40, 143)(41, 145)(42, 189)(43, 178)(44, 190)(45, 148)(46, 164)(47, 172)(48, 167)(49, 171)(50, 150)(51, 161)(52, 160)(53, 173)(54, 159)(55, 153)(56, 155)(57, 191)(58, 163)(59, 192)(60, 158)(61, 169)(62, 165)(63, 184)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1308
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1306 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y2^-1 * Y3^-1 * Y1)^2, (Y2 * Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2^-1 * Y1, Y2^2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3^2, Y2 * Y1 * Y2 * Y3^-2 * Y2^-2 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 21, 85)(9, 73, 28, 92)(12, 76, 33, 97)(13, 77, 32, 96)(14, 78, 27, 91)(15, 79, 25, 89)(16, 80, 26, 90)(17, 81, 24, 88)(19, 83, 29, 93)(20, 84, 30, 94)(22, 86, 48, 112)(23, 87, 47, 111)(31, 95, 58, 122)(34, 98, 52, 116)(35, 99, 54, 118)(36, 100, 56, 120)(37, 101, 49, 113)(38, 102, 59, 123)(39, 103, 50, 114)(40, 104, 60, 124)(41, 105, 51, 115)(42, 106, 57, 121)(43, 107, 46, 110)(44, 108, 53, 117)(45, 109, 55, 119)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 150, 214, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 148, 212, 165, 229, 141, 205)(136, 200, 153, 217, 182, 246, 155, 219)(138, 202, 158, 222, 180, 244, 151, 215)(139, 203, 159, 223, 183, 247, 154, 218)(142, 206, 166, 230, 189, 253, 162, 226)(144, 208, 149, 213, 174, 238, 168, 232)(146, 210, 170, 234, 179, 243, 171, 235)(147, 211, 163, 227, 175, 239, 172, 236)(152, 216, 181, 245, 191, 255, 177, 241)(156, 220, 185, 249, 164, 228, 186, 250)(157, 221, 178, 242, 160, 224, 187, 251)(161, 225, 188, 252, 192, 256, 184, 248)(169, 233, 176, 240, 173, 237, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 151)(8, 154)(9, 157)(10, 130)(11, 155)(12, 162)(13, 164)(14, 131)(15, 133)(16, 134)(17, 169)(18, 153)(19, 156)(20, 168)(21, 145)(22, 177)(23, 179)(24, 135)(25, 137)(26, 138)(27, 184)(28, 143)(29, 146)(30, 183)(31, 178)(32, 139)(33, 182)(34, 174)(35, 140)(36, 142)(37, 176)(38, 185)(39, 186)(40, 189)(41, 175)(42, 187)(43, 180)(44, 190)(45, 148)(46, 163)(47, 149)(48, 167)(49, 159)(50, 150)(51, 152)(52, 161)(53, 170)(54, 171)(55, 191)(56, 160)(57, 172)(58, 165)(59, 192)(60, 158)(61, 173)(62, 166)(63, 188)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1307
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1307 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, Y2^4, (R * Y3)^2, (Y2^-2 * Y1)^2, (Y2 * Y3^-1 * Y1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, (Y2^-1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 33, 97)(14, 78, 29, 93)(15, 79, 32, 96)(16, 80, 28, 92)(17, 81, 26, 90)(19, 83, 34, 98)(20, 84, 27, 91)(21, 85, 25, 89)(22, 86, 31, 95)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 55, 119)(40, 104, 58, 122)(41, 105, 54, 118)(42, 106, 53, 117)(43, 107, 51, 115)(44, 108, 57, 121)(45, 109, 56, 120)(46, 110, 52, 116)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 173, 237, 187, 251, 168, 232)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 185, 249, 190, 254, 180, 244)(172, 236, 189, 253, 174, 238, 188, 252)(184, 248, 192, 256, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 157)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 155)(19, 173)(20, 133)(21, 151)(22, 158)(23, 145)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 143)(31, 185)(32, 137)(33, 139)(34, 146)(35, 181)(36, 179)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 175)(43, 176)(44, 150)(45, 148)(46, 149)(47, 169)(48, 167)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 163)(55, 164)(56, 162)(57, 160)(58, 161)(59, 166)(60, 171)(61, 170)(62, 178)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1306
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1308 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-2)^2, Y3 * Y2^-1 * Y1 * Y3 * Y2 * Y1, (Y2^-2 * Y1)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, (Y2 * Y3 * Y1)^2, (Y2^-1 * Y3 * Y1)^2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1, (Y3 * Y2)^4, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 34, 98)(14, 78, 27, 91)(15, 79, 26, 90)(16, 80, 28, 92)(17, 81, 32, 96)(19, 83, 33, 97)(20, 84, 29, 93)(21, 85, 31, 95)(22, 86, 25, 89)(35, 99, 47, 111)(36, 100, 48, 112)(37, 101, 50, 114)(38, 102, 49, 113)(39, 103, 55, 119)(40, 104, 56, 120)(41, 105, 54, 118)(42, 106, 53, 117)(43, 107, 51, 115)(44, 108, 52, 116)(45, 109, 58, 122)(46, 110, 57, 121)(59, 123, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 177, 241, 157, 221)(138, 202, 161, 225, 178, 242, 162, 226)(139, 203, 163, 227, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 173, 237, 187, 251, 168, 232)(151, 215, 175, 239, 158, 222, 176, 240)(153, 217, 179, 243, 159, 223, 181, 245)(154, 218, 182, 246, 160, 224, 183, 247)(156, 220, 185, 249, 190, 254, 180, 244)(172, 236, 189, 253, 174, 238, 188, 252)(184, 248, 192, 256, 186, 250, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 155)(12, 165)(13, 168)(14, 131)(15, 172)(16, 134)(17, 174)(18, 157)(19, 173)(20, 133)(21, 158)(22, 151)(23, 143)(24, 177)(25, 180)(26, 135)(27, 184)(28, 138)(29, 186)(30, 145)(31, 185)(32, 137)(33, 146)(34, 139)(35, 179)(36, 181)(37, 187)(38, 140)(39, 188)(40, 142)(41, 189)(42, 176)(43, 175)(44, 150)(45, 148)(46, 149)(47, 167)(48, 169)(49, 190)(50, 152)(51, 191)(52, 154)(53, 192)(54, 164)(55, 163)(56, 162)(57, 160)(58, 161)(59, 166)(60, 171)(61, 170)(62, 178)(63, 183)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1305
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1309 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ R^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3^-1)^2, Y2^4, (R * Y1)^2, Y1^4, (Y3 * Y2^-1)^2, Y3^4, Y2^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2^-1 * Y1^-1 * R * Y2 * Y1^-1 * R, Y2^-1 * Y3^-2 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-2)^2, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 31, 95, 16, 80)(4, 68, 18, 82, 53, 117, 21, 85)(6, 70, 25, 89, 29, 93, 27, 91)(7, 71, 28, 92, 40, 104, 10, 74)(9, 73, 33, 97, 24, 88, 36, 100)(11, 75, 41, 105, 22, 86, 43, 107)(12, 76, 44, 108, 60, 124, 30, 94)(14, 78, 34, 98, 55, 119, 46, 110)(15, 79, 48, 112, 56, 120, 35, 99)(17, 81, 52, 116, 57, 121, 38, 102)(19, 83, 50, 114, 58, 122, 37, 101)(20, 84, 45, 109, 59, 123, 49, 113)(23, 87, 32, 96, 62, 126, 47, 111)(26, 90, 54, 118, 61, 125, 42, 106)(39, 103, 63, 127, 51, 115, 64, 128)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 162, 226, 139, 203)(132, 196, 147, 211, 172, 236, 145, 209)(133, 197, 150, 214, 174, 238, 152, 216)(135, 199, 154, 218, 175, 239, 143, 207)(136, 200, 157, 221, 183, 247, 159, 223)(138, 202, 166, 230, 190, 254, 165, 229)(140, 204, 170, 234, 149, 213, 163, 227)(141, 205, 167, 231, 153, 217, 173, 237)(144, 208, 177, 241, 155, 219, 179, 243)(146, 210, 182, 246, 188, 252, 176, 240)(148, 212, 164, 228, 192, 256, 171, 235)(151, 215, 180, 244, 156, 220, 178, 242)(158, 222, 186, 250, 181, 245, 185, 249)(160, 224, 189, 253, 168, 232, 184, 248)(161, 225, 187, 251, 169, 233, 191, 255)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 151)(6, 154)(7, 129)(8, 158)(9, 163)(10, 167)(11, 170)(12, 130)(13, 166)(14, 172)(15, 164)(16, 178)(17, 131)(18, 133)(19, 134)(20, 135)(21, 162)(22, 176)(23, 179)(24, 182)(25, 165)(26, 171)(27, 180)(28, 177)(29, 184)(30, 187)(31, 189)(32, 136)(33, 186)(34, 190)(35, 153)(36, 145)(37, 137)(38, 139)(39, 140)(40, 183)(41, 185)(42, 141)(43, 147)(44, 192)(45, 149)(46, 156)(47, 142)(48, 144)(49, 188)(50, 150)(51, 146)(52, 152)(53, 191)(54, 155)(55, 181)(56, 169)(57, 157)(58, 159)(59, 160)(60, 174)(61, 161)(62, 173)(63, 168)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1300
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 138>)
Aut   = $<128, 1755>$ (small group id <128, 1755>)
|r| :: 2
Presentation :: [ R^2, Y3^4, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y2^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y1 * Y2^-1 * Y1^-1, Y2^-2 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y3, Y2^-1 * Y1^-1 * Y2^-2 * Y1 * Y2^-1, (Y1^-1 * R * Y2^-1)^2, (Y2 * Y1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 31, 95, 16, 80)(4, 68, 18, 82, 53, 117, 21, 85)(6, 70, 25, 89, 29, 93, 27, 91)(7, 71, 28, 92, 40, 104, 10, 74)(9, 73, 33, 97, 24, 88, 36, 100)(11, 75, 41, 105, 22, 86, 43, 107)(12, 76, 44, 108, 60, 124, 30, 94)(14, 78, 34, 98, 55, 119, 46, 110)(15, 79, 48, 112, 56, 120, 42, 106)(17, 81, 52, 116, 57, 121, 37, 101)(19, 83, 50, 114, 58, 122, 38, 102)(20, 84, 45, 109, 59, 123, 51, 115)(23, 87, 32, 96, 62, 126, 47, 111)(26, 90, 54, 118, 61, 125, 35, 99)(39, 103, 63, 127, 49, 113, 64, 128)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 162, 226, 139, 203)(132, 196, 147, 211, 172, 236, 145, 209)(133, 197, 150, 214, 174, 238, 152, 216)(135, 199, 154, 218, 175, 239, 143, 207)(136, 200, 157, 221, 183, 247, 159, 223)(138, 202, 166, 230, 190, 254, 165, 229)(140, 204, 170, 234, 149, 213, 163, 227)(141, 205, 173, 237, 153, 217, 167, 231)(144, 208, 177, 241, 155, 219, 179, 243)(146, 210, 176, 240, 188, 252, 182, 246)(148, 212, 171, 235, 192, 256, 164, 228)(151, 215, 178, 242, 156, 220, 180, 244)(158, 222, 186, 250, 181, 245, 185, 249)(160, 224, 189, 253, 168, 232, 184, 248)(161, 225, 191, 255, 169, 233, 187, 251)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 151)(6, 154)(7, 129)(8, 158)(9, 163)(10, 167)(11, 170)(12, 130)(13, 165)(14, 172)(15, 171)(16, 178)(17, 131)(18, 133)(19, 134)(20, 135)(21, 162)(22, 182)(23, 177)(24, 176)(25, 166)(26, 164)(27, 180)(28, 179)(29, 184)(30, 187)(31, 189)(32, 136)(33, 185)(34, 190)(35, 141)(36, 147)(37, 137)(38, 139)(39, 140)(40, 183)(41, 186)(42, 153)(43, 145)(44, 192)(45, 149)(46, 156)(47, 142)(48, 144)(49, 146)(50, 152)(51, 188)(52, 150)(53, 191)(54, 155)(55, 181)(56, 161)(57, 157)(58, 159)(59, 160)(60, 174)(61, 169)(62, 173)(63, 168)(64, 175)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1299
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1311 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2, (Y3 * Y1^-1 * Y3 * Y1)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y1^2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^2 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-2 * Y3 * Y2 * Y1^-2 * Y2, Y1^-1 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 87, 23, 75, 11, 67)(4, 76, 12, 94, 30, 77, 13, 68)(7, 82, 18, 109, 45, 84, 20, 71)(8, 85, 21, 116, 52, 86, 22, 72)(10, 90, 26, 105, 41, 91, 27, 74)(14, 99, 35, 123, 59, 101, 37, 78)(15, 102, 38, 122, 58, 103, 39, 79)(16, 104, 40, 124, 60, 106, 42, 80)(17, 107, 43, 125, 61, 108, 44, 81)(19, 112, 48, 100, 36, 113, 49, 83)(24, 120, 56, 96, 32, 114, 50, 88)(25, 117, 53, 95, 31, 111, 47, 89)(28, 118, 54, 98, 34, 110, 46, 92)(29, 119, 55, 97, 33, 115, 51, 93)(57, 126, 62, 128, 64, 127, 63, 121)
	L = (1, 3)(2, 7)(4, 10)(5, 14)(6, 16)(8, 19)(9, 24)(11, 28)(12, 31)(13, 33)(15, 36)(17, 41)(18, 46)(20, 50)(21, 53)(22, 55)(23, 57)(25, 43)(26, 52)(27, 58)(29, 44)(30, 49)(32, 40)(34, 42)(35, 54)(37, 56)(38, 47)(39, 51)(45, 62)(48, 61)(59, 63)(60, 64)(65, 68)(66, 72)(67, 74)(69, 79)(70, 81)(71, 83)(73, 89)(75, 93)(76, 96)(77, 98)(78, 100)(80, 105)(82, 111)(84, 115)(85, 118)(86, 120)(87, 113)(88, 107)(90, 109)(91, 123)(92, 108)(94, 121)(95, 104)(97, 106)(99, 117)(101, 119)(102, 110)(103, 114)(112, 124)(116, 126)(122, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1312
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1312 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y1 * Y3 * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, (Y2 * Y1^-1)^4, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 91, 27, 77, 13, 92, 28, 74)(20, 101, 37, 87, 23, 102, 38, 84)(25, 99, 35, 93, 29, 103, 39, 89)(26, 105, 41, 94, 30, 107, 43, 90)(31, 100, 36, 97, 33, 104, 40, 95)(32, 106, 42, 98, 34, 108, 44, 96)(45, 119, 55, 110, 46, 121, 57, 109)(47, 117, 53, 113, 49, 118, 54, 111)(48, 123, 59, 114, 50, 124, 60, 112)(51, 120, 56, 116, 52, 122, 58, 115)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 29)(12, 31)(14, 33)(16, 20)(19, 35)(21, 39)(22, 41)(24, 43)(26, 46)(27, 47)(28, 49)(30, 45)(32, 52)(34, 51)(36, 54)(37, 55)(38, 57)(40, 53)(42, 60)(44, 59)(48, 62)(50, 61)(56, 64)(58, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 96)(77, 81)(78, 98)(79, 87)(83, 100)(85, 104)(86, 106)(88, 108)(89, 109)(91, 112)(92, 114)(93, 110)(95, 115)(97, 116)(99, 117)(101, 120)(102, 122)(103, 118)(105, 123)(107, 124)(111, 125)(113, 126)(119, 127)(121, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1311
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1313 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y2 * Y3 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y1, Y2 * Y3^-2 * Y2 * Y1 * Y3^2 * Y1, (Y3^-1 * Y2 * Y3 * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3 * Y1, (Y3 * Y1)^4, (Y3^-2 * Y2 * Y1)^2, (Y2 * Y3)^4, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 65, 4, 68, 13, 77, 5, 69)(2, 66, 7, 71, 20, 84, 8, 72)(3, 67, 9, 73, 25, 89, 10, 74)(6, 70, 16, 80, 42, 106, 17, 81)(11, 75, 29, 93, 41, 105, 30, 94)(12, 76, 31, 95, 40, 104, 32, 96)(14, 78, 36, 100, 44, 108, 37, 101)(15, 79, 38, 102, 43, 107, 39, 103)(18, 82, 46, 110, 24, 88, 47, 111)(19, 83, 48, 112, 23, 87, 49, 113)(21, 85, 53, 117, 27, 91, 54, 118)(22, 86, 55, 119, 26, 90, 56, 120)(28, 92, 59, 123, 35, 99, 51, 115)(33, 97, 57, 121, 63, 127, 58, 122)(34, 98, 45, 109, 62, 126, 52, 116)(50, 114, 60, 124, 64, 128, 61, 125)(129, 130)(131, 134)(132, 139)(133, 142)(135, 146)(136, 149)(137, 151)(138, 154)(140, 156)(141, 161)(143, 163)(144, 168)(145, 171)(147, 173)(148, 178)(150, 180)(152, 185)(153, 179)(155, 186)(157, 182)(158, 175)(159, 176)(160, 183)(162, 170)(164, 181)(165, 174)(166, 177)(167, 184)(169, 188)(172, 189)(187, 190)(191, 192)(193, 195)(194, 198)(196, 204)(197, 207)(199, 211)(200, 214)(201, 216)(202, 219)(203, 220)(205, 226)(206, 227)(208, 233)(209, 236)(210, 237)(212, 243)(213, 244)(215, 249)(217, 242)(218, 250)(221, 241)(222, 248)(223, 245)(224, 238)(225, 234)(228, 240)(229, 247)(230, 246)(231, 239)(232, 252)(235, 253)(251, 255)(254, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1316
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1314 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 17, 81, 11, 75)(6, 70, 18, 82, 9, 73, 19, 83)(12, 76, 30, 94, 15, 79, 31, 95)(13, 77, 33, 97, 16, 80, 34, 98)(20, 84, 40, 104, 23, 87, 41, 105)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 27, 91, 47, 111)(26, 90, 49, 113, 28, 92, 50, 114)(29, 93, 51, 115, 32, 96, 52, 116)(35, 99, 54, 118, 37, 101, 55, 119)(36, 100, 57, 121, 38, 102, 58, 122)(39, 103, 59, 123, 42, 106, 60, 124)(45, 109, 61, 125, 48, 112, 62, 126)(53, 117, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 153)(139, 155)(141, 160)(142, 150)(144, 157)(146, 163)(147, 165)(149, 170)(152, 167)(154, 176)(156, 173)(158, 168)(159, 169)(161, 171)(162, 172)(164, 184)(166, 181)(174, 183)(175, 182)(177, 186)(178, 185)(179, 187)(180, 188)(189, 192)(190, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 214)(202, 218)(203, 220)(204, 221)(206, 209)(207, 224)(210, 228)(211, 230)(212, 231)(215, 234)(217, 237)(219, 240)(222, 238)(223, 239)(225, 241)(226, 242)(227, 245)(229, 248)(232, 246)(233, 247)(235, 249)(236, 250)(243, 253)(244, 254)(251, 255)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1315
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1315 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, Y2 * Y3 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y1, Y2 * Y3^-2 * Y2 * Y1 * Y3^2 * Y1, (Y3^-1 * Y2 * Y3 * Y2)^2, Y2 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3 * Y1, (Y3 * Y1)^4, (Y3^-2 * Y2 * Y1)^2, (Y2 * Y3)^4, Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1, Y3 * Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 13, 77, 141, 205, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 20, 84, 148, 212, 8, 72, 136, 200)(3, 67, 131, 195, 9, 73, 137, 201, 25, 89, 153, 217, 10, 74, 138, 202)(6, 70, 134, 198, 16, 80, 144, 208, 42, 106, 170, 234, 17, 81, 145, 209)(11, 75, 139, 203, 29, 93, 157, 221, 41, 105, 169, 233, 30, 94, 158, 222)(12, 76, 140, 204, 31, 95, 159, 223, 40, 104, 168, 232, 32, 96, 160, 224)(14, 78, 142, 206, 36, 100, 164, 228, 44, 108, 172, 236, 37, 101, 165, 229)(15, 79, 143, 207, 38, 102, 166, 230, 43, 107, 171, 235, 39, 103, 167, 231)(18, 82, 146, 210, 46, 110, 174, 238, 24, 88, 152, 216, 47, 111, 175, 239)(19, 83, 147, 211, 48, 112, 176, 240, 23, 87, 151, 215, 49, 113, 177, 241)(21, 85, 149, 213, 53, 117, 181, 245, 27, 91, 155, 219, 54, 118, 182, 246)(22, 86, 150, 214, 55, 119, 183, 247, 26, 90, 154, 218, 56, 120, 184, 248)(28, 92, 156, 220, 59, 123, 187, 251, 35, 99, 163, 227, 51, 115, 179, 243)(33, 97, 161, 225, 57, 121, 185, 249, 63, 127, 191, 255, 58, 122, 186, 250)(34, 98, 162, 226, 45, 109, 173, 237, 62, 126, 190, 254, 52, 116, 180, 244)(50, 114, 178, 242, 60, 124, 188, 252, 64, 128, 192, 256, 61, 125, 189, 253)
	L = (1, 66)(2, 65)(3, 70)(4, 75)(5, 78)(6, 67)(7, 82)(8, 85)(9, 87)(10, 90)(11, 68)(12, 92)(13, 97)(14, 69)(15, 99)(16, 104)(17, 107)(18, 71)(19, 109)(20, 114)(21, 72)(22, 116)(23, 73)(24, 121)(25, 115)(26, 74)(27, 122)(28, 76)(29, 118)(30, 111)(31, 112)(32, 119)(33, 77)(34, 106)(35, 79)(36, 117)(37, 110)(38, 113)(39, 120)(40, 80)(41, 124)(42, 98)(43, 81)(44, 125)(45, 83)(46, 101)(47, 94)(48, 95)(49, 102)(50, 84)(51, 89)(52, 86)(53, 100)(54, 93)(55, 96)(56, 103)(57, 88)(58, 91)(59, 126)(60, 105)(61, 108)(62, 123)(63, 128)(64, 127)(129, 195)(130, 198)(131, 193)(132, 204)(133, 207)(134, 194)(135, 211)(136, 214)(137, 216)(138, 219)(139, 220)(140, 196)(141, 226)(142, 227)(143, 197)(144, 233)(145, 236)(146, 237)(147, 199)(148, 243)(149, 244)(150, 200)(151, 249)(152, 201)(153, 242)(154, 250)(155, 202)(156, 203)(157, 241)(158, 248)(159, 245)(160, 238)(161, 234)(162, 205)(163, 206)(164, 240)(165, 247)(166, 246)(167, 239)(168, 252)(169, 208)(170, 225)(171, 253)(172, 209)(173, 210)(174, 224)(175, 231)(176, 228)(177, 221)(178, 217)(179, 212)(180, 213)(181, 223)(182, 230)(183, 229)(184, 222)(185, 215)(186, 218)(187, 255)(188, 232)(189, 235)(190, 256)(191, 251)(192, 254)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1314
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1316 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 932>$ (small group id <128, 932>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 17, 81, 145, 209, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 9, 73, 137, 201, 19, 83, 147, 211)(12, 76, 140, 204, 30, 94, 158, 222, 15, 79, 143, 207, 31, 95, 159, 223)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(20, 84, 148, 212, 40, 104, 168, 232, 23, 87, 151, 215, 41, 105, 169, 233)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 27, 91, 155, 219, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241, 28, 92, 156, 220, 50, 114, 178, 242)(29, 93, 157, 221, 51, 115, 179, 243, 32, 96, 160, 224, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 37, 101, 165, 229, 55, 119, 183, 247)(36, 100, 164, 228, 57, 121, 185, 249, 38, 102, 166, 230, 58, 122, 186, 250)(39, 103, 167, 231, 59, 123, 187, 251, 42, 106, 170, 234, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253, 48, 112, 176, 240, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 89)(11, 91)(12, 68)(13, 96)(14, 86)(15, 69)(16, 93)(17, 70)(18, 99)(19, 101)(20, 71)(21, 106)(22, 78)(23, 72)(24, 103)(25, 74)(26, 112)(27, 75)(28, 109)(29, 80)(30, 104)(31, 105)(32, 77)(33, 107)(34, 108)(35, 82)(36, 120)(37, 83)(38, 117)(39, 88)(40, 94)(41, 95)(42, 85)(43, 97)(44, 98)(45, 92)(46, 119)(47, 118)(48, 90)(49, 122)(50, 121)(51, 123)(52, 124)(53, 102)(54, 111)(55, 110)(56, 100)(57, 114)(58, 113)(59, 115)(60, 116)(61, 128)(62, 127)(63, 126)(64, 125)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 214)(138, 218)(139, 220)(140, 221)(141, 196)(142, 209)(143, 224)(144, 197)(145, 206)(146, 228)(147, 230)(148, 231)(149, 199)(150, 201)(151, 234)(152, 200)(153, 237)(154, 202)(155, 240)(156, 203)(157, 204)(158, 238)(159, 239)(160, 207)(161, 241)(162, 242)(163, 245)(164, 210)(165, 248)(166, 211)(167, 212)(168, 246)(169, 247)(170, 215)(171, 249)(172, 250)(173, 217)(174, 222)(175, 223)(176, 219)(177, 225)(178, 226)(179, 253)(180, 254)(181, 227)(182, 232)(183, 233)(184, 229)(185, 235)(186, 236)(187, 255)(188, 256)(189, 243)(190, 244)(191, 251)(192, 252)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1313
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1317 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2 * Y3^-1 * Y2 * Y3, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^4, R * Y2 * R * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y3^-2 * Y1 * Y2^-1, (Y2^-1 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 31, 95)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 35, 99)(16, 80, 24, 88)(18, 82, 38, 102)(20, 84, 44, 108)(21, 85, 43, 107)(22, 86, 41, 105)(23, 87, 48, 112)(26, 90, 51, 115)(27, 91, 52, 116)(29, 93, 42, 106)(32, 96, 45, 109)(33, 97, 46, 110)(34, 98, 57, 121)(36, 100, 53, 117)(37, 101, 50, 114)(39, 103, 40, 104)(47, 111, 63, 127)(49, 113, 59, 123)(54, 118, 60, 124)(55, 119, 61, 125)(56, 120, 64, 128)(58, 122, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 143, 207, 160, 224, 141, 205)(134, 198, 146, 210, 161, 225, 142, 206)(136, 200, 151, 215, 173, 237, 149, 213)(138, 202, 154, 218, 174, 238, 150, 214)(139, 203, 155, 219, 181, 245, 157, 221)(144, 208, 162, 226, 172, 236, 164, 228)(145, 209, 165, 229, 185, 249, 167, 231)(147, 211, 168, 232, 187, 251, 170, 234)(152, 216, 175, 239, 159, 223, 177, 241)(153, 217, 178, 242, 191, 255, 180, 244)(156, 220, 184, 248, 163, 227, 182, 246)(158, 222, 186, 250, 166, 230, 183, 247)(169, 233, 190, 254, 176, 240, 188, 252)(171, 235, 192, 256, 179, 243, 189, 253)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 149)(8, 152)(9, 151)(10, 130)(11, 156)(12, 160)(13, 162)(14, 131)(15, 164)(16, 134)(17, 166)(18, 133)(19, 169)(20, 173)(21, 175)(22, 135)(23, 177)(24, 138)(25, 179)(26, 137)(27, 182)(28, 185)(29, 184)(30, 139)(31, 174)(32, 172)(33, 140)(34, 142)(35, 145)(36, 146)(37, 186)(38, 181)(39, 183)(40, 188)(41, 191)(42, 190)(43, 147)(44, 161)(45, 159)(46, 148)(47, 150)(48, 153)(49, 154)(50, 192)(51, 187)(52, 189)(53, 163)(54, 167)(55, 155)(56, 165)(57, 158)(58, 157)(59, 176)(60, 180)(61, 168)(62, 178)(63, 171)(64, 170)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1319
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y3 * Y2^2)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3 * Y2^-1 * Y1)^2, Y2^-2 * Y1 * Y2 * Y3 * Y2^-1 * Y3 * Y1, Y3 * Y2 * Y1 * Y2^-2 * Y1 * Y3 * Y2^-1, (Y2^-1 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 32, 96)(15, 79, 35, 99)(17, 81, 40, 104)(18, 82, 38, 102)(19, 83, 44, 108)(20, 84, 46, 110)(22, 86, 49, 113)(23, 87, 50, 114)(25, 89, 39, 103)(27, 91, 43, 107)(28, 92, 42, 106)(29, 93, 41, 105)(31, 95, 51, 115)(33, 97, 57, 121)(34, 98, 48, 112)(36, 100, 37, 101)(45, 109, 58, 122)(47, 111, 64, 128)(52, 116, 61, 125)(53, 117, 60, 124)(54, 118, 59, 123)(55, 119, 62, 126)(56, 120, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 155, 219, 141, 205)(135, 199, 147, 211, 169, 233, 148, 212)(137, 201, 151, 215, 179, 243, 153, 217)(139, 203, 156, 220, 143, 207, 157, 221)(142, 206, 162, 226, 185, 249, 164, 228)(144, 208, 165, 229, 186, 250, 167, 231)(146, 210, 170, 234, 150, 214, 171, 235)(149, 213, 176, 240, 192, 256, 178, 242)(152, 216, 181, 245, 158, 222, 182, 246)(154, 218, 173, 237, 191, 255, 175, 239)(159, 223, 184, 248, 161, 225, 168, 232)(160, 224, 183, 247, 163, 227, 180, 244)(166, 230, 188, 252, 172, 236, 189, 253)(174, 238, 190, 254, 177, 241, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 159)(13, 161)(14, 163)(15, 133)(16, 166)(17, 169)(18, 134)(19, 173)(20, 175)(21, 177)(22, 136)(23, 180)(24, 137)(25, 183)(26, 171)(27, 138)(28, 184)(29, 168)(30, 179)(31, 140)(32, 185)(33, 141)(34, 181)(35, 142)(36, 182)(37, 187)(38, 144)(39, 190)(40, 157)(41, 145)(42, 191)(43, 154)(44, 186)(45, 147)(46, 192)(47, 148)(48, 188)(49, 149)(50, 189)(51, 158)(52, 151)(53, 162)(54, 164)(55, 153)(56, 156)(57, 160)(58, 172)(59, 165)(60, 176)(61, 178)(62, 167)(63, 170)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1320
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3^4, Y2 * Y3^-2 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y2^-1 * Y1 * Y3^2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 35, 99)(27, 91, 37, 101)(29, 93, 39, 103)(30, 94, 40, 104)(32, 96, 52, 116)(33, 97, 51, 115)(42, 106, 60, 124)(43, 107, 59, 123)(45, 109, 54, 118)(46, 110, 53, 117)(47, 111, 55, 119)(48, 112, 56, 120)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 175, 239, 156, 220, 176, 240)(159, 223, 173, 237, 162, 226, 174, 238)(160, 224, 177, 241, 161, 225, 178, 242)(164, 228, 183, 247, 166, 230, 184, 248)(169, 233, 181, 245, 172, 236, 182, 246)(170, 234, 185, 249, 171, 235, 186, 250)(179, 243, 189, 253, 180, 244, 190, 254)(187, 251, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 173)(26, 145)(27, 174)(28, 139)(29, 177)(30, 178)(31, 179)(32, 144)(33, 143)(34, 180)(35, 181)(36, 152)(37, 182)(38, 146)(39, 185)(40, 186)(41, 187)(42, 151)(43, 150)(44, 188)(45, 155)(46, 153)(47, 189)(48, 190)(49, 158)(50, 157)(51, 162)(52, 159)(53, 165)(54, 163)(55, 191)(56, 192)(57, 168)(58, 167)(59, 172)(60, 169)(61, 176)(62, 175)(63, 184)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1317
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1320 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2^-2)^2, (R * Y2 * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y3 * Y2)^4, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1, (Y2^-1 * Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 31, 95)(15, 79, 33, 97)(18, 82, 35, 99)(19, 83, 40, 104)(20, 84, 42, 106)(22, 86, 44, 108)(23, 87, 34, 98)(25, 89, 36, 100)(26, 90, 37, 101)(27, 91, 39, 103)(28, 92, 38, 102)(30, 94, 51, 115)(32, 96, 52, 116)(41, 105, 59, 123)(43, 107, 60, 124)(45, 109, 53, 117)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 56, 120)(49, 113, 58, 122)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 154, 218, 141, 205)(135, 199, 147, 211, 165, 229, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 143, 207, 156, 220)(144, 208, 162, 226, 149, 213, 164, 228)(146, 210, 166, 230, 150, 214, 167, 231)(152, 216, 174, 238, 161, 225, 175, 239)(157, 221, 176, 240, 159, 223, 173, 237)(158, 222, 177, 241, 160, 224, 178, 242)(163, 227, 182, 246, 172, 236, 183, 247)(168, 232, 184, 248, 170, 234, 181, 245)(169, 233, 185, 249, 171, 235, 186, 250)(179, 243, 190, 254, 180, 244, 189, 253)(187, 251, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 158)(13, 160)(14, 161)(15, 133)(16, 163)(17, 165)(18, 134)(19, 169)(20, 171)(21, 172)(22, 136)(23, 173)(24, 137)(25, 176)(26, 138)(27, 177)(28, 178)(29, 179)(30, 140)(31, 180)(32, 141)(33, 142)(34, 181)(35, 144)(36, 184)(37, 145)(38, 185)(39, 186)(40, 187)(41, 147)(42, 188)(43, 148)(44, 149)(45, 151)(46, 189)(47, 190)(48, 153)(49, 155)(50, 156)(51, 157)(52, 159)(53, 162)(54, 191)(55, 192)(56, 164)(57, 166)(58, 167)(59, 168)(60, 170)(61, 174)(62, 175)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1318
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1321 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3)^2, (Y2 * Y1)^4, Y2 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y1, Y2^-2 * Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, Y2^2 * Y1 * Y3 * Y2^-2 * Y3 * Y1, Y2^2 * Y3 * Y2 * Y1 * Y3 * Y2^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1, (Y2 * R * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 26, 90)(11, 75, 24, 88)(12, 76, 30, 94)(13, 77, 33, 97)(15, 79, 36, 100)(17, 81, 43, 107)(18, 82, 41, 105)(19, 83, 47, 111)(20, 84, 50, 114)(22, 86, 53, 117)(23, 87, 54, 118)(25, 89, 42, 106)(27, 91, 48, 112)(28, 92, 45, 109)(29, 93, 55, 119)(31, 95, 44, 108)(32, 96, 58, 122)(34, 98, 59, 123)(35, 99, 52, 116)(37, 101, 40, 104)(38, 102, 46, 110)(39, 103, 56, 120)(49, 113, 61, 125)(51, 115, 62, 126)(57, 121, 60, 124)(63, 127, 64, 128)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 159, 223, 141, 205)(135, 199, 147, 211, 176, 240, 148, 212)(137, 201, 151, 215, 177, 241, 153, 217)(139, 203, 156, 220, 175, 239, 157, 221)(142, 206, 163, 227, 179, 243, 165, 229)(143, 207, 166, 230, 178, 242, 167, 231)(144, 208, 168, 232, 160, 224, 170, 234)(146, 210, 173, 237, 158, 222, 174, 238)(149, 213, 180, 244, 162, 226, 182, 246)(150, 214, 183, 247, 161, 225, 184, 248)(152, 216, 185, 249, 164, 228, 172, 236)(154, 218, 186, 250, 191, 255, 187, 251)(155, 219, 169, 233, 188, 252, 181, 245)(171, 235, 189, 253, 192, 256, 190, 254)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 155)(11, 131)(12, 160)(13, 162)(14, 164)(15, 133)(16, 169)(17, 172)(18, 134)(19, 177)(20, 179)(21, 181)(22, 136)(23, 174)(24, 137)(25, 184)(26, 176)(27, 138)(28, 180)(29, 168)(30, 186)(31, 171)(32, 140)(33, 187)(34, 141)(35, 173)(36, 142)(37, 183)(38, 182)(39, 170)(40, 157)(41, 144)(42, 167)(43, 159)(44, 145)(45, 163)(46, 151)(47, 189)(48, 154)(49, 147)(50, 190)(51, 148)(52, 156)(53, 149)(54, 166)(55, 165)(56, 153)(57, 191)(58, 158)(59, 161)(60, 192)(61, 175)(62, 178)(63, 185)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1322 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y2^4, Y3 * Y2 * Y3^-2 * Y2^-1 * Y3, Y3 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-2)^2, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1, Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3, (Y2 * Y3^-1)^4, Y2 * Y3^-2 * Y2 * Y1 * Y2^-2 * Y1, Y2^2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1, (Y1 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 37, 101)(13, 77, 29, 93)(14, 78, 34, 98)(15, 79, 31, 95)(16, 80, 28, 92)(17, 81, 25, 89)(19, 83, 27, 91)(20, 84, 33, 97)(21, 85, 32, 96)(22, 86, 26, 90)(24, 88, 52, 116)(35, 99, 64, 128)(36, 100, 51, 115)(38, 102, 53, 117)(39, 103, 54, 118)(40, 104, 58, 122)(41, 105, 62, 126)(42, 106, 57, 121)(43, 107, 55, 119)(44, 108, 59, 123)(45, 109, 61, 125)(46, 110, 60, 124)(47, 111, 56, 120)(48, 112, 63, 127)(49, 113, 50, 114)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 167, 231, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 155, 219, 182, 246, 157, 221)(138, 202, 161, 225, 181, 245, 162, 226)(139, 203, 163, 227, 188, 252, 164, 228)(141, 205, 168, 232, 148, 212, 170, 234)(142, 206, 171, 235, 147, 211, 172, 236)(144, 208, 169, 233, 180, 244, 174, 238)(146, 210, 176, 240, 190, 254, 177, 241)(151, 215, 178, 242, 173, 237, 179, 243)(153, 217, 183, 247, 160, 224, 185, 249)(154, 218, 186, 250, 159, 223, 187, 251)(156, 220, 184, 248, 165, 229, 189, 253)(158, 222, 191, 255, 175, 239, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 162)(12, 166)(13, 169)(14, 131)(15, 158)(16, 134)(17, 151)(18, 161)(19, 174)(20, 133)(21, 173)(22, 175)(23, 150)(24, 181)(25, 184)(26, 135)(27, 146)(28, 138)(29, 139)(30, 149)(31, 189)(32, 137)(33, 188)(34, 190)(35, 185)(36, 186)(37, 182)(38, 180)(39, 140)(40, 179)(41, 142)(42, 192)(43, 191)(44, 178)(45, 143)(46, 148)(47, 145)(48, 183)(49, 187)(50, 170)(51, 171)(52, 167)(53, 165)(54, 152)(55, 164)(56, 154)(57, 177)(58, 176)(59, 163)(60, 155)(61, 160)(62, 157)(63, 168)(64, 172)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1323 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1758>$ (small group id <128, 1758>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, Y2^4, (R * Y3)^2, (Y3 * Y1)^2, (R * Y1)^2, (Y2^-2 * Y1)^2, (R * Y2 * Y3)^2, Y3 * Y2^-1 * Y1 * Y2 * Y3 * Y1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y3 * Y2^2 * Y3 * Y1, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 14, 78)(6, 70, 16, 80)(8, 72, 21, 85)(10, 74, 17, 81)(11, 75, 24, 88)(12, 76, 29, 93)(13, 77, 32, 96)(15, 79, 34, 98)(18, 82, 38, 102)(19, 83, 43, 107)(20, 84, 46, 110)(22, 86, 48, 112)(23, 87, 37, 101)(25, 89, 39, 103)(26, 90, 40, 104)(27, 91, 50, 114)(28, 92, 49, 113)(30, 94, 44, 108)(31, 95, 54, 118)(33, 97, 56, 120)(35, 99, 42, 106)(36, 100, 41, 105)(45, 109, 61, 125)(47, 111, 63, 127)(51, 115, 58, 122)(52, 116, 62, 126)(53, 117, 64, 128)(55, 119, 59, 123)(57, 121, 60, 124)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 145, 209, 136, 200)(132, 196, 140, 204, 158, 222, 141, 205)(135, 199, 147, 211, 172, 236, 148, 212)(137, 201, 151, 215, 142, 206, 153, 217)(139, 203, 155, 219, 166, 230, 156, 220)(143, 207, 163, 227, 176, 240, 164, 228)(144, 208, 165, 229, 149, 213, 167, 231)(146, 210, 169, 233, 152, 216, 170, 234)(150, 214, 177, 241, 162, 226, 178, 242)(154, 218, 171, 235, 186, 250, 174, 238)(157, 221, 179, 243, 160, 224, 168, 232)(159, 223, 183, 247, 189, 253, 181, 245)(161, 225, 185, 249, 191, 255, 180, 244)(173, 237, 190, 254, 182, 246, 188, 252)(175, 239, 192, 256, 184, 248, 187, 251)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 143)(6, 146)(7, 130)(8, 150)(9, 152)(10, 154)(11, 131)(12, 159)(13, 161)(14, 162)(15, 133)(16, 166)(17, 168)(18, 134)(19, 173)(20, 175)(21, 176)(22, 136)(23, 179)(24, 137)(25, 172)(26, 138)(27, 180)(28, 181)(29, 182)(30, 167)(31, 140)(32, 184)(33, 141)(34, 142)(35, 185)(36, 183)(37, 186)(38, 144)(39, 158)(40, 145)(41, 187)(42, 188)(43, 189)(44, 153)(45, 147)(46, 191)(47, 148)(48, 149)(49, 192)(50, 190)(51, 151)(52, 155)(53, 156)(54, 157)(55, 164)(56, 160)(57, 163)(58, 165)(59, 169)(60, 170)(61, 171)(62, 178)(63, 174)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1324 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (((C4 x C2) : C2) : C2) : C2 (small group id <64, 139>)
Aut   = $<128, 1757>$ (small group id <128, 1757>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3^-1 * Y2^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y1 * Y3^2 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y3^2 * Y1, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2 * Y1, (Y2^2 * Y3^-2)^2, (Y2^-1 * Y3^-1 * Y2^-1 * Y1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 23, 87)(9, 73, 30, 94)(12, 76, 24, 88)(13, 77, 31, 95)(14, 78, 32, 96)(15, 79, 29, 93)(16, 80, 28, 92)(17, 81, 27, 91)(19, 83, 25, 89)(20, 84, 26, 90)(21, 85, 34, 98)(22, 86, 33, 97)(35, 99, 46, 110)(36, 100, 48, 112)(37, 101, 47, 111)(38, 102, 49, 113)(39, 103, 50, 114)(40, 104, 51, 115)(41, 105, 52, 116)(42, 106, 56, 120)(43, 107, 55, 119)(44, 108, 54, 118)(45, 109, 53, 117)(57, 121, 62, 126)(58, 122, 61, 125)(59, 123, 64, 128)(60, 124, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 152, 216, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 164, 228, 150, 214)(136, 200, 155, 219, 176, 240, 157, 221)(138, 202, 161, 225, 175, 239, 162, 226)(139, 203, 156, 220, 146, 210, 163, 227)(141, 205, 166, 230, 148, 212, 167, 231)(142, 206, 168, 232, 147, 211, 169, 233)(144, 208, 158, 222, 174, 238, 151, 215)(153, 217, 177, 241, 160, 224, 178, 242)(154, 218, 179, 243, 159, 223, 180, 244)(170, 234, 186, 250, 173, 237, 187, 251)(171, 235, 185, 249, 172, 236, 188, 252)(181, 245, 190, 254, 184, 248, 191, 255)(182, 246, 189, 253, 183, 247, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 153)(8, 156)(9, 159)(10, 130)(11, 160)(12, 164)(13, 158)(14, 131)(15, 170)(16, 134)(17, 172)(18, 154)(19, 151)(20, 133)(21, 171)(22, 173)(23, 148)(24, 175)(25, 146)(26, 135)(27, 181)(28, 138)(29, 183)(30, 142)(31, 139)(32, 137)(33, 182)(34, 184)(35, 176)(36, 174)(37, 140)(38, 185)(39, 187)(40, 186)(41, 188)(42, 149)(43, 143)(44, 150)(45, 145)(46, 165)(47, 163)(48, 152)(49, 189)(50, 191)(51, 190)(52, 192)(53, 161)(54, 155)(55, 162)(56, 157)(57, 168)(58, 166)(59, 169)(60, 167)(61, 179)(62, 177)(63, 180)(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 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1325 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-2)^2, (Y1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1 * Y3 * Y2 * Y1^-1)^2, (Y1^-1 * Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 91, 27, 77, 13, 92, 28, 74)(20, 101, 37, 87, 23, 102, 38, 84)(25, 106, 42, 93, 29, 108, 44, 89)(26, 100, 36, 94, 30, 104, 40, 90)(31, 105, 41, 97, 33, 107, 43, 95)(32, 99, 35, 98, 34, 103, 39, 96)(45, 121, 57, 110, 46, 119, 55, 109)(47, 118, 54, 113, 49, 117, 53, 111)(48, 124, 60, 114, 50, 123, 59, 112)(51, 122, 58, 116, 52, 120, 56, 115)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 29)(12, 31)(14, 33)(16, 20)(19, 35)(21, 39)(22, 41)(24, 43)(26, 46)(27, 47)(28, 49)(30, 45)(32, 52)(34, 51)(36, 54)(37, 55)(38, 57)(40, 53)(42, 60)(44, 59)(48, 62)(50, 61)(56, 64)(58, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 96)(77, 81)(78, 98)(79, 87)(83, 100)(85, 104)(86, 106)(88, 108)(89, 109)(91, 112)(92, 114)(93, 110)(95, 115)(97, 116)(99, 117)(101, 120)(102, 122)(103, 118)(105, 123)(107, 124)(111, 125)(113, 126)(119, 127)(121, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1326
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1326 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y2 * Y3 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 84, 20, 99, 35, 92, 28, 74)(13, 87, 23, 100, 36, 97, 33, 77)(25, 104, 40, 93, 29, 101, 37, 89)(26, 105, 41, 94, 30, 102, 38, 90)(27, 109, 45, 116, 52, 111, 47, 91)(31, 108, 44, 98, 34, 106, 42, 95)(32, 113, 49, 117, 53, 114, 50, 96)(39, 118, 54, 112, 48, 120, 56, 103)(43, 121, 57, 115, 51, 122, 58, 107)(46, 119, 55, 126, 62, 124, 60, 110)(59, 128, 64, 125, 61, 127, 63, 123)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 31)(14, 34)(16, 33)(18, 36)(19, 37)(20, 39)(21, 40)(22, 42)(24, 44)(26, 45)(28, 48)(30, 47)(32, 46)(35, 52)(38, 54)(41, 56)(43, 55)(49, 59)(50, 61)(51, 60)(53, 62)(57, 63)(58, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 89)(77, 96)(78, 93)(79, 92)(81, 99)(83, 102)(85, 105)(86, 101)(87, 107)(88, 104)(91, 110)(95, 113)(97, 115)(98, 114)(100, 117)(103, 119)(106, 121)(108, 122)(109, 123)(111, 125)(112, 124)(116, 126)(118, 127)(120, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1325
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1327 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3^-2 * Y2)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^4 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 48, 112, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 55, 119, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 45, 109, 59, 123, 46, 110)(28, 92, 50, 114, 30, 94, 51, 115)(35, 99, 52, 116, 62, 126, 53, 117)(38, 102, 57, 121, 40, 104, 58, 122)(47, 111, 60, 124, 49, 113, 61, 125)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 156)(139, 158)(141, 154)(142, 150)(144, 155)(146, 166)(147, 168)(149, 164)(152, 165)(153, 163)(157, 176)(159, 170)(160, 169)(161, 179)(162, 178)(167, 183)(171, 186)(172, 185)(173, 182)(174, 184)(175, 180)(177, 181)(187, 190)(188, 192)(189, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 212)(203, 215)(204, 210)(206, 221)(207, 211)(209, 227)(214, 231)(218, 239)(219, 241)(220, 237)(222, 238)(223, 236)(224, 235)(225, 234)(226, 233)(228, 246)(229, 248)(230, 244)(232, 245)(240, 251)(242, 253)(243, 252)(247, 254)(249, 256)(250, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1330
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1328 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 17, 81, 11, 75)(6, 70, 18, 82, 9, 73, 19, 83)(12, 76, 30, 94, 15, 79, 31, 95)(13, 77, 33, 97, 16, 80, 34, 98)(20, 84, 40, 104, 23, 87, 41, 105)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 27, 91, 47, 111)(26, 90, 49, 113, 28, 92, 50, 114)(29, 93, 51, 115, 32, 96, 52, 116)(35, 99, 54, 118, 37, 101, 55, 119)(36, 100, 57, 121, 38, 102, 58, 122)(39, 103, 59, 123, 42, 106, 60, 124)(45, 109, 61, 125, 48, 112, 62, 126)(53, 117, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 153)(139, 155)(141, 160)(142, 150)(144, 157)(146, 163)(147, 165)(149, 170)(152, 167)(154, 176)(156, 173)(158, 177)(159, 178)(161, 174)(162, 175)(164, 184)(166, 181)(168, 185)(169, 186)(171, 182)(172, 183)(179, 188)(180, 187)(189, 191)(190, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 214)(202, 218)(203, 220)(204, 221)(206, 209)(207, 224)(210, 228)(211, 230)(212, 231)(215, 234)(217, 237)(219, 240)(222, 235)(223, 236)(225, 232)(226, 233)(227, 245)(229, 248)(238, 250)(239, 249)(241, 247)(242, 246)(243, 254)(244, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1329
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1329 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y3^-2 * Y2)^2, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 48, 112, 176, 240, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 55, 119, 183, 247, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 45, 109, 173, 237, 59, 123, 187, 251, 46, 110, 174, 238)(28, 92, 156, 220, 50, 114, 178, 242, 30, 94, 158, 222, 51, 115, 179, 243)(35, 99, 163, 227, 52, 116, 180, 244, 62, 126, 190, 254, 53, 117, 181, 245)(38, 102, 166, 230, 57, 121, 185, 249, 40, 104, 168, 232, 58, 122, 186, 250)(47, 111, 175, 239, 60, 124, 188, 252, 49, 113, 177, 241, 61, 125, 189, 253)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 92)(11, 94)(12, 68)(13, 90)(14, 86)(15, 69)(16, 91)(17, 70)(18, 102)(19, 104)(20, 71)(21, 100)(22, 78)(23, 72)(24, 101)(25, 99)(26, 77)(27, 80)(28, 74)(29, 112)(30, 75)(31, 106)(32, 105)(33, 115)(34, 114)(35, 89)(36, 85)(37, 88)(38, 82)(39, 119)(40, 83)(41, 96)(42, 95)(43, 122)(44, 121)(45, 118)(46, 120)(47, 116)(48, 93)(49, 117)(50, 98)(51, 97)(52, 111)(53, 113)(54, 109)(55, 103)(56, 110)(57, 108)(58, 107)(59, 126)(60, 128)(61, 127)(62, 123)(63, 125)(64, 124)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 212)(139, 215)(140, 210)(141, 196)(142, 221)(143, 211)(144, 197)(145, 227)(146, 204)(147, 207)(148, 202)(149, 199)(150, 231)(151, 203)(152, 200)(153, 201)(154, 239)(155, 241)(156, 237)(157, 206)(158, 238)(159, 236)(160, 235)(161, 234)(162, 233)(163, 209)(164, 246)(165, 248)(166, 244)(167, 214)(168, 245)(169, 226)(170, 225)(171, 224)(172, 223)(173, 220)(174, 222)(175, 218)(176, 251)(177, 219)(178, 253)(179, 252)(180, 230)(181, 232)(182, 228)(183, 254)(184, 229)(185, 256)(186, 255)(187, 240)(188, 243)(189, 242)(190, 247)(191, 250)(192, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1328
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1330 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 17, 81, 145, 209, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 9, 73, 137, 201, 19, 83, 147, 211)(12, 76, 140, 204, 30, 94, 158, 222, 15, 79, 143, 207, 31, 95, 159, 223)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(20, 84, 148, 212, 40, 104, 168, 232, 23, 87, 151, 215, 41, 105, 169, 233)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 27, 91, 155, 219, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241, 28, 92, 156, 220, 50, 114, 178, 242)(29, 93, 157, 221, 51, 115, 179, 243, 32, 96, 160, 224, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 37, 101, 165, 229, 55, 119, 183, 247)(36, 100, 164, 228, 57, 121, 185, 249, 38, 102, 166, 230, 58, 122, 186, 250)(39, 103, 167, 231, 59, 123, 187, 251, 42, 106, 170, 234, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253, 48, 112, 176, 240, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 89)(11, 91)(12, 68)(13, 96)(14, 86)(15, 69)(16, 93)(17, 70)(18, 99)(19, 101)(20, 71)(21, 106)(22, 78)(23, 72)(24, 103)(25, 74)(26, 112)(27, 75)(28, 109)(29, 80)(30, 113)(31, 114)(32, 77)(33, 110)(34, 111)(35, 82)(36, 120)(37, 83)(38, 117)(39, 88)(40, 121)(41, 122)(42, 85)(43, 118)(44, 119)(45, 92)(46, 97)(47, 98)(48, 90)(49, 94)(50, 95)(51, 124)(52, 123)(53, 102)(54, 107)(55, 108)(56, 100)(57, 104)(58, 105)(59, 116)(60, 115)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 214)(138, 218)(139, 220)(140, 221)(141, 196)(142, 209)(143, 224)(144, 197)(145, 206)(146, 228)(147, 230)(148, 231)(149, 199)(150, 201)(151, 234)(152, 200)(153, 237)(154, 202)(155, 240)(156, 203)(157, 204)(158, 235)(159, 236)(160, 207)(161, 232)(162, 233)(163, 245)(164, 210)(165, 248)(166, 211)(167, 212)(168, 225)(169, 226)(170, 215)(171, 222)(172, 223)(173, 217)(174, 250)(175, 249)(176, 219)(177, 247)(178, 246)(179, 254)(180, 253)(181, 227)(182, 242)(183, 241)(184, 229)(185, 239)(186, 238)(187, 256)(188, 255)(189, 244)(190, 243)(191, 252)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1327
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1331 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 1997>$ (small group id <128, 1997>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, (R * Y3)^2, Y2^-1 * Y3^-2 * Y2^-1, (R * Y1)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 45, 109)(27, 91, 50, 114)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 54, 118)(33, 97, 53, 117)(35, 99, 55, 119)(37, 101, 60, 124)(42, 106, 64, 128)(43, 107, 63, 127)(46, 110, 59, 123)(47, 111, 58, 122)(48, 112, 57, 121)(49, 113, 56, 120)(51, 115, 61, 125)(52, 116, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 176, 240, 156, 220, 177, 241)(159, 223, 175, 239, 162, 226, 174, 238)(160, 224, 179, 243, 161, 225, 180, 244)(164, 228, 186, 250, 166, 230, 187, 251)(169, 233, 185, 249, 172, 236, 184, 248)(170, 234, 189, 253, 171, 235, 190, 254)(173, 237, 192, 256, 178, 242, 191, 255)(181, 245, 183, 247, 182, 246, 188, 252)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 174)(26, 145)(27, 175)(28, 139)(29, 179)(30, 180)(31, 181)(32, 144)(33, 143)(34, 182)(35, 184)(36, 152)(37, 185)(38, 146)(39, 189)(40, 190)(41, 191)(42, 151)(43, 150)(44, 192)(45, 186)(46, 155)(47, 153)(48, 188)(49, 183)(50, 187)(51, 158)(52, 157)(53, 162)(54, 159)(55, 176)(56, 165)(57, 163)(58, 178)(59, 173)(60, 177)(61, 168)(62, 167)(63, 172)(64, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1334
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1332 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 2006>$ (small group id <128, 2006>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3, Y2^-1), (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y2)^2, Y3^4, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 47, 111)(29, 93, 52, 116)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 50, 114)(34, 98, 55, 119)(37, 101, 56, 120)(39, 103, 61, 125)(43, 107, 59, 123)(44, 108, 64, 128)(48, 112, 60, 124)(49, 113, 62, 126)(51, 115, 57, 121)(53, 117, 58, 122)(54, 118, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 141, 205, 159, 223, 144, 208)(134, 198, 142, 206, 160, 224, 146, 210)(136, 200, 149, 213, 169, 233, 152, 216)(138, 202, 150, 214, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 182, 246, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 191, 255, 172, 236)(156, 220, 176, 240, 164, 228, 179, 243)(158, 222, 177, 241, 163, 227, 181, 245)(166, 230, 185, 249, 174, 238, 188, 252)(168, 232, 186, 250, 173, 237, 190, 254)(175, 239, 187, 251, 180, 244, 192, 256)(178, 242, 189, 253, 183, 247, 184, 248)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 149)(8, 151)(9, 152)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 162)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 172)(25, 174)(26, 137)(27, 176)(28, 178)(29, 179)(30, 139)(31, 182)(32, 140)(33, 142)(34, 146)(35, 145)(36, 183)(37, 185)(38, 187)(39, 188)(40, 147)(41, 191)(42, 148)(43, 150)(44, 154)(45, 153)(46, 192)(47, 190)(48, 189)(49, 155)(50, 158)(51, 184)(52, 186)(53, 157)(54, 160)(55, 163)(56, 181)(57, 180)(58, 165)(59, 168)(60, 175)(61, 177)(62, 167)(63, 170)(64, 173)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1333
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1333 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 2006>$ (small group id <128, 2006>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3, Y2^-1), Y3^4, (R * Y2)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 39, 103)(29, 93, 37, 101)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 49, 113)(34, 98, 53, 117)(43, 107, 56, 120)(44, 108, 60, 124)(47, 111, 58, 122)(48, 112, 57, 121)(50, 114, 55, 119)(51, 115, 54, 118)(52, 116, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 141, 205, 159, 223, 144, 208)(134, 198, 142, 206, 160, 224, 146, 210)(136, 200, 149, 213, 169, 233, 152, 216)(138, 202, 150, 214, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 180, 244, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 187, 251, 172, 236)(156, 220, 175, 239, 164, 228, 178, 242)(158, 222, 176, 240, 163, 227, 179, 243)(166, 230, 182, 246, 174, 238, 185, 249)(168, 232, 183, 247, 173, 237, 186, 250)(177, 241, 189, 253, 181, 245, 190, 254)(184, 248, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 144)(6, 129)(7, 149)(8, 151)(9, 152)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 162)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 172)(25, 174)(26, 137)(27, 175)(28, 177)(29, 178)(30, 139)(31, 180)(32, 140)(33, 142)(34, 146)(35, 145)(36, 181)(37, 182)(38, 184)(39, 185)(40, 147)(41, 187)(42, 148)(43, 150)(44, 154)(45, 153)(46, 188)(47, 189)(48, 155)(49, 158)(50, 190)(51, 157)(52, 160)(53, 163)(54, 191)(55, 165)(56, 168)(57, 192)(58, 167)(59, 170)(60, 173)(61, 176)(62, 179)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1332
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1334 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x QD16) : C2 (small group id <64, 141>)
Aut   = $<128, 1997>$ (small group id <128, 1997>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3 * Y2, Y3^4, R * Y2 * R * Y2^-1, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 34, 98)(16, 80, 24, 88)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(23, 87, 44, 108)(26, 90, 46, 110)(27, 91, 39, 103)(29, 93, 37, 101)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 50, 114)(35, 99, 53, 117)(43, 107, 57, 121)(45, 109, 60, 124)(47, 111, 58, 122)(48, 112, 56, 120)(49, 113, 55, 119)(51, 115, 54, 118)(52, 116, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 143, 207, 159, 223, 141, 205)(134, 198, 146, 210, 160, 224, 142, 206)(136, 200, 151, 215, 169, 233, 149, 213)(138, 202, 154, 218, 170, 234, 150, 214)(139, 203, 155, 219, 145, 209, 157, 221)(144, 208, 161, 225, 180, 244, 163, 227)(147, 211, 165, 229, 153, 217, 167, 231)(152, 216, 171, 235, 187, 251, 173, 237)(156, 220, 177, 241, 164, 228, 175, 239)(158, 222, 179, 243, 162, 226, 176, 240)(166, 230, 184, 248, 174, 238, 182, 246)(168, 232, 186, 250, 172, 236, 183, 247)(178, 242, 189, 253, 181, 245, 190, 254)(185, 249, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 149)(8, 152)(9, 151)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 163)(16, 134)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 173)(24, 138)(25, 174)(26, 137)(27, 175)(28, 178)(29, 177)(30, 139)(31, 180)(32, 140)(33, 142)(34, 145)(35, 146)(36, 181)(37, 182)(38, 185)(39, 184)(40, 147)(41, 187)(42, 148)(43, 150)(44, 153)(45, 154)(46, 188)(47, 189)(48, 155)(49, 190)(50, 158)(51, 157)(52, 160)(53, 162)(54, 191)(55, 165)(56, 192)(57, 168)(58, 167)(59, 170)(60, 172)(61, 176)(62, 179)(63, 183)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1331
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1335 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y1 * Y3^-2 * Y1 * Y3^2, Y1 * Y2 * Y3^2 * Y2 * Y1 * Y3^2, (Y3^-1 * Y1)^4, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 14, 78)(6, 70, 15, 79)(7, 71, 18, 82)(8, 72, 20, 84)(10, 74, 24, 88)(11, 75, 26, 90)(13, 77, 19, 83)(16, 80, 34, 98)(17, 81, 36, 100)(21, 85, 41, 105)(22, 86, 37, 101)(23, 87, 40, 104)(25, 89, 44, 108)(27, 91, 32, 96)(28, 92, 38, 102)(29, 93, 39, 103)(30, 94, 33, 97)(31, 95, 51, 115)(35, 99, 54, 118)(42, 106, 53, 117)(43, 107, 52, 116)(45, 109, 58, 122)(46, 110, 59, 123)(47, 111, 60, 124)(48, 112, 55, 119)(49, 113, 56, 120)(50, 114, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 138, 202)(133, 197, 139, 203)(135, 199, 144, 208)(136, 200, 145, 209)(137, 201, 149, 213)(140, 204, 155, 219)(141, 205, 153, 217)(142, 206, 158, 222)(143, 207, 159, 223)(146, 210, 165, 229)(147, 211, 163, 227)(148, 212, 168, 232)(150, 214, 170, 234)(151, 215, 171, 235)(152, 216, 173, 237)(154, 218, 176, 240)(156, 220, 177, 241)(157, 221, 178, 242)(160, 224, 180, 244)(161, 225, 181, 245)(162, 226, 183, 247)(164, 228, 186, 250)(166, 230, 187, 251)(167, 231, 188, 252)(169, 233, 184, 248)(172, 236, 189, 253)(174, 238, 179, 243)(175, 239, 190, 254)(182, 246, 191, 255)(185, 249, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 141)(5, 129)(6, 144)(7, 147)(8, 130)(9, 150)(10, 153)(11, 131)(12, 156)(13, 133)(14, 157)(15, 160)(16, 163)(17, 134)(18, 166)(19, 136)(20, 167)(21, 170)(22, 172)(23, 137)(24, 174)(25, 139)(26, 175)(27, 177)(28, 142)(29, 140)(30, 178)(31, 180)(32, 182)(33, 143)(34, 184)(35, 145)(36, 185)(37, 187)(38, 148)(39, 146)(40, 188)(41, 186)(42, 189)(43, 149)(44, 151)(45, 179)(46, 154)(47, 152)(48, 190)(49, 158)(50, 155)(51, 176)(52, 191)(53, 159)(54, 161)(55, 169)(56, 164)(57, 162)(58, 192)(59, 168)(60, 165)(61, 171)(62, 173)(63, 181)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1341
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3^-2 * Y2)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 12, 76)(5, 69, 15, 79)(6, 70, 17, 81)(7, 71, 20, 84)(8, 72, 23, 87)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 27, 91)(14, 78, 22, 86)(16, 80, 26, 90)(18, 82, 38, 102)(19, 83, 40, 104)(21, 85, 37, 101)(24, 88, 36, 100)(25, 89, 45, 109)(29, 93, 49, 113)(31, 95, 41, 105)(32, 96, 42, 106)(33, 97, 52, 116)(34, 98, 51, 115)(35, 99, 53, 117)(39, 103, 57, 121)(43, 107, 60, 124)(44, 108, 59, 123)(46, 110, 55, 119)(47, 111, 54, 118)(48, 112, 58, 122)(50, 114, 56, 120)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195)(130, 194, 134, 198)(132, 196, 141, 205)(133, 197, 144, 208)(135, 199, 149, 213)(136, 200, 152, 216)(137, 201, 153, 217)(138, 202, 151, 215)(139, 203, 148, 212)(140, 204, 147, 211)(142, 206, 157, 221)(143, 207, 146, 210)(145, 209, 163, 227)(150, 214, 167, 231)(154, 218, 176, 240)(155, 219, 178, 242)(156, 220, 175, 239)(158, 222, 174, 238)(159, 223, 172, 236)(160, 224, 171, 235)(161, 225, 170, 234)(162, 226, 169, 233)(164, 228, 184, 248)(165, 229, 186, 250)(166, 230, 183, 247)(168, 232, 182, 246)(173, 237, 187, 251)(177, 241, 189, 253)(179, 243, 181, 245)(180, 244, 190, 254)(185, 249, 191, 255)(188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 138)(4, 142)(5, 129)(6, 146)(7, 150)(8, 130)(9, 154)(10, 157)(11, 131)(12, 159)(13, 161)(14, 133)(15, 160)(16, 162)(17, 164)(18, 167)(19, 134)(20, 169)(21, 171)(22, 136)(23, 170)(24, 172)(25, 174)(26, 177)(27, 137)(28, 179)(29, 139)(30, 180)(31, 143)(32, 140)(33, 144)(34, 141)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 149)(45, 184)(46, 189)(47, 153)(48, 190)(49, 155)(50, 181)(51, 158)(52, 156)(53, 176)(54, 191)(55, 163)(56, 192)(57, 165)(58, 173)(59, 168)(60, 166)(61, 175)(62, 178)(63, 183)(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) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1342
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 2012>$ (small group id <128, 2012>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2 * Y3^-2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^2 * Y1 * Y2^-1 * Y1 * Y2, Y2^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2 * R * Y3^-2 * Y1 * R * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 26, 90)(14, 78, 33, 97)(15, 79, 30, 94)(16, 80, 36, 100)(17, 81, 28, 92)(19, 83, 32, 96)(20, 84, 27, 91)(21, 85, 34, 98)(22, 86, 35, 99)(23, 87, 29, 93)(37, 101, 48, 112)(38, 102, 47, 111)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 56, 120)(44, 108, 55, 119)(45, 109, 54, 118)(46, 110, 53, 117)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(60, 124, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 156, 220, 175, 239, 158, 222)(138, 202, 162, 226, 176, 240, 163, 227)(139, 203, 157, 221, 146, 210, 164, 228)(141, 205, 167, 231, 147, 211, 168, 232)(142, 206, 169, 233, 148, 212, 170, 234)(144, 208, 159, 223, 151, 215, 152, 216)(154, 218, 177, 241, 160, 224, 178, 242)(155, 219, 179, 243, 161, 225, 180, 244)(171, 235, 185, 249, 173, 237, 187, 251)(172, 236, 188, 252, 174, 238, 186, 250)(181, 245, 189, 253, 183, 247, 191, 255)(182, 246, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 161)(12, 165)(13, 152)(14, 131)(15, 171)(16, 166)(17, 173)(18, 155)(19, 159)(20, 133)(21, 174)(22, 172)(23, 134)(24, 148)(25, 175)(26, 139)(27, 135)(28, 181)(29, 176)(30, 183)(31, 142)(32, 146)(33, 137)(34, 184)(35, 182)(36, 138)(37, 151)(38, 140)(39, 185)(40, 187)(41, 188)(42, 186)(43, 149)(44, 143)(45, 150)(46, 145)(47, 164)(48, 153)(49, 189)(50, 191)(51, 192)(52, 190)(53, 162)(54, 156)(55, 163)(56, 158)(57, 169)(58, 167)(59, 170)(60, 168)(61, 179)(62, 177)(63, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1340
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^2 * Y2^-1 * Y3, Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1, (Y2^-2 * Y1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^3 * Y2^-2 * Y3, Y2 * R * Y2^-1 * Y1 * Y2^-1 * R * Y2^-1 * Y1, (Y3^-1 * Y2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 32, 96)(14, 78, 27, 91)(15, 79, 28, 92)(16, 80, 36, 100)(17, 81, 30, 94)(19, 83, 26, 90)(20, 84, 33, 97)(21, 85, 35, 99)(22, 86, 34, 98)(23, 87, 29, 93)(37, 101, 48, 112)(38, 102, 47, 111)(39, 103, 51, 115)(40, 104, 52, 116)(41, 105, 49, 113)(42, 106, 50, 114)(43, 107, 54, 118)(44, 108, 53, 117)(45, 109, 56, 120)(46, 110, 55, 119)(57, 121, 61, 125)(58, 122, 64, 128)(59, 123, 63, 127)(60, 124, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 165, 229, 145, 209)(134, 198, 149, 213, 166, 230, 150, 214)(136, 200, 156, 220, 175, 239, 158, 222)(138, 202, 162, 226, 176, 240, 163, 227)(139, 203, 164, 228, 146, 210, 157, 221)(141, 205, 167, 231, 147, 211, 168, 232)(142, 206, 169, 233, 148, 212, 170, 234)(144, 208, 152, 216, 151, 215, 159, 223)(154, 218, 177, 241, 160, 224, 178, 242)(155, 219, 179, 243, 161, 225, 180, 244)(171, 235, 185, 249, 173, 237, 187, 251)(172, 236, 188, 252, 174, 238, 186, 250)(181, 245, 189, 253, 183, 247, 191, 255)(182, 246, 192, 256, 184, 248, 190, 254)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 155)(12, 165)(13, 159)(14, 131)(15, 171)(16, 166)(17, 173)(18, 161)(19, 152)(20, 133)(21, 174)(22, 172)(23, 134)(24, 142)(25, 175)(26, 146)(27, 135)(28, 181)(29, 176)(30, 183)(31, 148)(32, 139)(33, 137)(34, 184)(35, 182)(36, 138)(37, 151)(38, 140)(39, 185)(40, 187)(41, 188)(42, 186)(43, 149)(44, 143)(45, 150)(46, 145)(47, 164)(48, 153)(49, 189)(50, 191)(51, 192)(52, 190)(53, 162)(54, 156)(55, 163)(56, 158)(57, 169)(58, 167)(59, 170)(60, 168)(61, 179)(62, 177)(63, 180)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1339
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3^-1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2, Y3^-1 * Y2^-1 * Y3^3 * Y2^-1, Y3 * Y2^-1 * Y3^-3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y3 * Y2^-1 * Y3^-1 * Y1 * Y2 * Y1, Y3^-2 * Y2^-1 * Y1 * Y2^-1 * Y1, Y3^-1 * Y2^-2 * Y3 * Y2^-2, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 32, 96)(14, 78, 28, 92)(15, 79, 27, 91)(16, 80, 36, 100)(17, 81, 33, 97)(19, 83, 26, 90)(20, 84, 30, 94)(21, 85, 35, 99)(22, 86, 34, 98)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 53, 117)(41, 105, 54, 118)(42, 106, 51, 115)(43, 107, 52, 116)(44, 108, 56, 120)(45, 109, 55, 119)(46, 110, 58, 122)(47, 111, 57, 121)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 164, 228, 146, 210, 165, 229)(141, 205, 168, 232, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 172, 236, 187, 251, 174, 238)(151, 215, 159, 223, 176, 240, 152, 216)(154, 218, 179, 243, 160, 224, 180, 244)(155, 219, 181, 245, 161, 225, 182, 246)(157, 221, 183, 247, 190, 254, 185, 249)(173, 237, 188, 252, 175, 239, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 156)(12, 166)(13, 159)(14, 131)(15, 173)(16, 168)(17, 175)(18, 158)(19, 152)(20, 133)(21, 174)(22, 172)(23, 134)(24, 143)(25, 177)(26, 146)(27, 135)(28, 184)(29, 179)(30, 186)(31, 145)(32, 139)(33, 137)(34, 185)(35, 183)(36, 138)(37, 178)(38, 187)(39, 140)(40, 188)(41, 189)(42, 151)(43, 176)(44, 142)(45, 149)(46, 148)(47, 150)(48, 167)(49, 190)(50, 153)(51, 191)(52, 192)(53, 164)(54, 165)(55, 155)(56, 162)(57, 161)(58, 163)(59, 169)(60, 170)(61, 171)(62, 180)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1338
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 2012>$ (small group id <128, 2012>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1, Y3 * Y2^-1 * Y3^-3 * Y2^-1, Y2 * Y3 * Y1 * Y2^-1 * Y3 * Y1, (R * Y2 * Y3^-1)^2, Y3^3 * Y2^-1 * Y3^-1 * Y2^-1, (Y2 * Y3^-1 * Y2^-1 * Y1)^2, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 34, 98)(14, 78, 33, 97)(15, 79, 30, 94)(16, 80, 36, 100)(17, 81, 28, 92)(19, 83, 35, 99)(20, 84, 27, 91)(21, 85, 26, 90)(22, 86, 32, 96)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 54, 118)(41, 105, 56, 120)(42, 106, 55, 119)(43, 107, 51, 115)(44, 108, 53, 117)(45, 109, 52, 116)(46, 110, 58, 122)(47, 111, 57, 121)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 157, 221, 146, 210, 165, 229)(141, 205, 168, 232, 147, 211, 170, 234)(142, 206, 171, 235, 148, 212, 172, 236)(144, 208, 159, 223, 176, 240, 152, 216)(151, 215, 169, 233, 187, 251, 174, 238)(154, 218, 179, 243, 160, 224, 181, 245)(155, 219, 182, 246, 161, 225, 183, 247)(164, 228, 180, 244, 190, 254, 185, 249)(173, 237, 188, 252, 175, 239, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 161)(12, 166)(13, 169)(14, 131)(15, 173)(16, 168)(17, 175)(18, 155)(19, 174)(20, 133)(21, 152)(22, 159)(23, 134)(24, 148)(25, 177)(26, 180)(27, 135)(28, 184)(29, 179)(30, 186)(31, 142)(32, 185)(33, 137)(34, 139)(35, 146)(36, 138)(37, 181)(38, 176)(39, 140)(40, 188)(41, 145)(42, 189)(43, 151)(44, 187)(45, 149)(46, 143)(47, 150)(48, 170)(49, 165)(50, 153)(51, 191)(52, 158)(53, 192)(54, 164)(55, 190)(56, 162)(57, 156)(58, 163)(59, 167)(60, 171)(61, 172)(62, 178)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1337
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 1996>$ (small group id <128, 1996>)
|r| :: 2
Presentation :: [ R^2, Y3^2 * Y1^2, Y3^4, (Y3^-1 * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^2 * Y1^-2, (Y3 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y2^-1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y2^-1 * Y3^2 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 24, 88, 16, 80)(4, 68, 10, 74, 7, 71, 12, 76)(6, 70, 21, 85, 25, 89, 23, 87)(9, 73, 26, 90, 19, 83, 29, 93)(11, 75, 32, 96, 20, 84, 34, 98)(14, 78, 27, 91, 46, 110, 40, 104)(15, 79, 36, 100, 17, 81, 38, 102)(18, 82, 44, 108, 22, 86, 45, 109)(28, 92, 48, 112, 30, 94, 50, 114)(31, 95, 55, 119, 33, 97, 56, 120)(35, 99, 49, 113, 42, 106, 54, 118)(37, 101, 47, 111, 43, 107, 53, 117)(39, 103, 51, 115, 41, 105, 52, 116)(57, 121, 64, 128, 58, 122, 63, 127)(59, 123, 62, 126, 60, 124, 61, 125)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 155, 219, 139, 203)(132, 196, 146, 210, 167, 231, 145, 209)(133, 197, 147, 211, 168, 232, 148, 212)(135, 199, 150, 214, 169, 233, 143, 207)(136, 200, 152, 216, 174, 238, 153, 217)(138, 202, 159, 223, 179, 243, 158, 222)(140, 204, 161, 225, 180, 244, 156, 220)(141, 205, 163, 227, 149, 213, 165, 229)(144, 208, 170, 234, 151, 215, 171, 235)(154, 218, 175, 239, 160, 224, 177, 241)(157, 221, 181, 245, 162, 226, 182, 246)(164, 228, 187, 251, 173, 237, 186, 250)(166, 230, 188, 252, 172, 236, 185, 249)(176, 240, 191, 255, 184, 248, 190, 254)(178, 242, 192, 256, 183, 247, 189, 253)
	L = (1, 132)(2, 138)(3, 143)(4, 136)(5, 140)(6, 150)(7, 129)(8, 135)(9, 156)(10, 133)(11, 161)(12, 130)(13, 164)(14, 167)(15, 152)(16, 166)(17, 131)(18, 134)(19, 158)(20, 159)(21, 173)(22, 153)(23, 172)(24, 145)(25, 146)(26, 176)(27, 179)(28, 147)(29, 178)(30, 137)(31, 139)(32, 184)(33, 148)(34, 183)(35, 185)(36, 144)(37, 188)(38, 141)(39, 174)(40, 180)(41, 142)(42, 186)(43, 187)(44, 149)(45, 151)(46, 169)(47, 189)(48, 157)(49, 192)(50, 154)(51, 168)(52, 155)(53, 190)(54, 191)(55, 160)(56, 162)(57, 170)(58, 163)(59, 165)(60, 171)(61, 181)(62, 175)(63, 177)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1335
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1342 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C4 x D8) : C2 (small group id <64, 144>)
Aut   = $<128, 2005>$ (small group id <128, 2005>)
|r| :: 2
Presentation :: [ R^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3 * Y2^-1)^2, Y1^4, Y2^4, (Y3^-1 * Y1)^2, (Y2^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y3^-1 * Y2^-1 * Y3 * Y1^2 * Y2, Y1 * Y2^-1 * Y3^-2 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66, 8, 72, 5, 69)(3, 67, 13, 77, 27, 91, 16, 80)(4, 68, 18, 82, 28, 92, 12, 76)(6, 70, 24, 88, 29, 93, 26, 90)(7, 71, 22, 86, 30, 94, 10, 74)(9, 73, 31, 95, 21, 85, 34, 98)(11, 75, 38, 102, 23, 87, 40, 104)(14, 78, 32, 96, 20, 84, 37, 101)(15, 79, 45, 109, 19, 83, 44, 108)(17, 81, 47, 111, 25, 89, 42, 106)(33, 97, 53, 117, 36, 100, 52, 116)(35, 99, 55, 119, 39, 103, 50, 114)(41, 105, 51, 115, 46, 110, 56, 120)(43, 107, 49, 113, 48, 112, 54, 118)(57, 121, 61, 125, 59, 123, 63, 127)(58, 122, 62, 126, 60, 124, 64, 128)(129, 193, 131, 195, 142, 206, 134, 198)(130, 194, 137, 201, 160, 224, 139, 203)(132, 196, 147, 211, 158, 222, 145, 209)(133, 197, 149, 213, 165, 229, 151, 215)(135, 199, 153, 217, 156, 220, 143, 207)(136, 200, 155, 219, 148, 212, 157, 221)(138, 202, 164, 228, 146, 210, 163, 227)(140, 204, 167, 231, 150, 214, 161, 225)(141, 205, 169, 233, 152, 216, 171, 235)(144, 208, 174, 238, 154, 218, 176, 240)(159, 223, 177, 241, 166, 230, 179, 243)(162, 226, 182, 246, 168, 232, 184, 248)(170, 234, 187, 251, 173, 237, 186, 250)(172, 236, 188, 252, 175, 239, 185, 249)(178, 242, 191, 255, 181, 245, 190, 254)(180, 244, 192, 256, 183, 247, 189, 253)
	L = (1, 132)(2, 138)(3, 143)(4, 148)(5, 150)(6, 153)(7, 129)(8, 156)(9, 161)(10, 165)(11, 167)(12, 130)(13, 170)(14, 158)(15, 157)(16, 175)(17, 131)(18, 133)(19, 134)(20, 135)(21, 164)(22, 160)(23, 163)(24, 173)(25, 155)(26, 172)(27, 147)(28, 142)(29, 145)(30, 136)(31, 178)(32, 146)(33, 151)(34, 183)(35, 137)(36, 139)(37, 140)(38, 181)(39, 149)(40, 180)(41, 185)(42, 154)(43, 188)(44, 141)(45, 144)(46, 187)(47, 152)(48, 186)(49, 189)(50, 168)(51, 192)(52, 159)(53, 162)(54, 191)(55, 166)(56, 190)(57, 176)(58, 169)(59, 171)(60, 174)(61, 184)(62, 177)(63, 179)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1336
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1343 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 1790>$ (small group id <128, 1790>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y3^2 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^3 * Y1, R * Y2^-1 * Y1 * Y2 * Y1 * Y2 * R * Y2^-1, Y3^8, Y3^3 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-2 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 27, 91)(14, 78, 29, 93)(15, 79, 28, 92)(16, 80, 36, 100)(18, 82, 22, 86)(19, 83, 24, 88)(23, 87, 38, 102)(25, 89, 45, 109)(30, 94, 49, 113)(31, 95, 41, 105)(32, 96, 40, 104)(33, 97, 47, 111)(34, 98, 46, 110)(35, 99, 53, 117)(37, 101, 43, 107)(39, 103, 56, 120)(42, 106, 54, 118)(44, 108, 60, 124)(48, 112, 62, 126)(50, 114, 59, 123)(51, 115, 58, 122)(52, 116, 57, 121)(55, 119, 64, 128)(61, 125, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 151, 215, 168, 232, 153, 217)(138, 202, 150, 214, 169, 233, 155, 219)(139, 203, 156, 220, 145, 209, 158, 222)(143, 207, 161, 225, 177, 241, 163, 227)(147, 211, 154, 218, 167, 231, 148, 212)(152, 216, 170, 234, 184, 248, 172, 236)(157, 221, 174, 238, 164, 228, 176, 240)(162, 226, 178, 242, 190, 254, 180, 244)(165, 229, 173, 237, 183, 247, 166, 230)(171, 235, 185, 249, 192, 256, 187, 251)(175, 239, 186, 250, 181, 245, 189, 253)(179, 243, 188, 252, 191, 255, 182, 246)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 157)(12, 159)(13, 154)(14, 131)(15, 162)(16, 133)(17, 164)(18, 148)(19, 134)(20, 166)(21, 168)(22, 145)(23, 135)(24, 171)(25, 137)(26, 173)(27, 139)(28, 138)(29, 175)(30, 169)(31, 177)(32, 140)(33, 142)(34, 179)(35, 144)(36, 181)(37, 147)(38, 182)(39, 160)(40, 184)(41, 149)(42, 151)(43, 186)(44, 153)(45, 188)(46, 156)(47, 187)(48, 158)(49, 190)(50, 161)(51, 165)(52, 163)(53, 185)(54, 180)(55, 167)(56, 192)(57, 170)(58, 174)(59, 172)(60, 178)(61, 176)(62, 191)(63, 183)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1344 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C2 x C2) : C2 (small group id <64, 147>)
Aut   = $<128, 1780>$ (small group id <128, 1780>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3^-1 * Y1)^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, (Y2^-2 * Y1)^2, Y2^-1 * Y1 * Y3^2 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^8 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 30, 94)(14, 78, 25, 89)(15, 79, 28, 92)(16, 80, 23, 87)(18, 82, 35, 99)(19, 83, 24, 88)(22, 86, 39, 103)(27, 91, 44, 108)(29, 93, 47, 111)(31, 95, 41, 105)(32, 96, 40, 104)(33, 97, 49, 113)(34, 98, 46, 110)(36, 100, 52, 116)(37, 101, 43, 107)(38, 102, 54, 118)(42, 106, 56, 120)(45, 109, 59, 123)(48, 112, 61, 125)(50, 114, 60, 124)(51, 115, 58, 122)(53, 117, 57, 121)(55, 119, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 151, 215, 168, 232, 153, 217)(138, 202, 150, 214, 169, 233, 155, 219)(139, 203, 152, 216, 145, 209, 157, 221)(143, 207, 154, 218, 166, 230, 148, 212)(147, 211, 161, 225, 175, 239, 164, 228)(156, 220, 170, 234, 182, 246, 173, 237)(158, 222, 171, 235, 163, 227, 176, 240)(162, 226, 172, 236, 183, 247, 167, 231)(165, 229, 178, 242, 189, 253, 181, 245)(174, 238, 185, 249, 191, 255, 188, 252)(177, 241, 186, 250, 180, 244, 190, 254)(179, 243, 187, 251, 192, 256, 184, 248)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 153)(12, 159)(13, 161)(14, 131)(15, 162)(16, 133)(17, 151)(18, 164)(19, 134)(20, 144)(21, 168)(22, 170)(23, 135)(24, 171)(25, 137)(26, 142)(27, 173)(28, 138)(29, 176)(30, 139)(31, 166)(32, 140)(33, 178)(34, 179)(35, 145)(36, 181)(37, 147)(38, 183)(39, 148)(40, 157)(41, 149)(42, 185)(43, 186)(44, 154)(45, 188)(46, 156)(47, 160)(48, 190)(49, 158)(50, 187)(51, 165)(52, 163)(53, 184)(54, 169)(55, 192)(56, 167)(57, 180)(58, 174)(59, 172)(60, 177)(61, 175)(62, 191)(63, 182)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1345 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1784>$ (small group id <128, 1784>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, (R * Y1)^2, Y2^4, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1 * Y1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2 * Y3 * Y1 * Y3^-1 * Y2 * Y1, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^3 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 33, 97)(16, 80, 36, 100)(17, 81, 27, 91)(19, 83, 26, 90)(20, 84, 28, 92)(21, 85, 35, 99)(22, 86, 34, 98)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 53, 117)(41, 105, 54, 118)(42, 106, 51, 115)(43, 107, 52, 116)(44, 108, 58, 122)(45, 109, 57, 121)(46, 110, 56, 120)(47, 111, 55, 119)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 164, 228, 146, 210, 165, 229)(141, 205, 168, 232, 147, 211, 169, 233)(142, 206, 170, 234, 148, 212, 171, 235)(144, 208, 172, 236, 187, 251, 174, 238)(151, 215, 159, 223, 176, 240, 152, 216)(154, 218, 179, 243, 160, 224, 180, 244)(155, 219, 181, 245, 161, 225, 182, 246)(157, 221, 183, 247, 190, 254, 185, 249)(173, 237, 188, 252, 175, 239, 189, 253)(184, 248, 191, 255, 186, 250, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 158)(12, 166)(13, 159)(14, 131)(15, 173)(16, 169)(17, 175)(18, 156)(19, 152)(20, 133)(21, 172)(22, 174)(23, 134)(24, 145)(25, 177)(26, 146)(27, 135)(28, 184)(29, 180)(30, 186)(31, 143)(32, 139)(33, 137)(34, 183)(35, 185)(36, 138)(37, 178)(38, 187)(39, 140)(40, 188)(41, 189)(42, 176)(43, 151)(44, 142)(45, 149)(46, 148)(47, 150)(48, 167)(49, 190)(50, 153)(51, 191)(52, 192)(53, 165)(54, 164)(55, 155)(56, 162)(57, 161)(58, 163)(59, 168)(60, 170)(61, 171)(62, 179)(63, 181)(64, 182)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1346 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C2 x (C8 : C2)) : C2 (small group id <64, 150>)
Aut   = $<128, 1790>$ (small group id <128, 1790>)
|r| :: 2
Presentation :: [ Y1^2, R^2, (Y3 * Y1)^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1, Y3^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y3^-1 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 18, 82)(6, 70, 8, 72)(7, 71, 24, 88)(9, 73, 31, 95)(12, 76, 25, 89)(13, 77, 35, 99)(14, 78, 33, 97)(15, 79, 30, 94)(16, 80, 36, 100)(17, 81, 28, 92)(19, 83, 34, 98)(20, 84, 27, 91)(21, 85, 32, 96)(22, 86, 26, 90)(23, 87, 29, 93)(37, 101, 59, 123)(38, 102, 50, 114)(39, 103, 49, 113)(40, 104, 54, 118)(41, 105, 57, 121)(42, 106, 55, 119)(43, 107, 51, 115)(44, 108, 53, 117)(45, 109, 58, 122)(46, 110, 52, 116)(47, 111, 56, 120)(48, 112, 62, 126)(60, 124, 63, 127)(61, 125, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 153, 217, 137, 201)(132, 196, 143, 207, 166, 230, 145, 209)(134, 198, 149, 213, 167, 231, 150, 214)(136, 200, 156, 220, 177, 241, 158, 222)(138, 202, 162, 226, 178, 242, 163, 227)(139, 203, 157, 221, 146, 210, 165, 229)(141, 205, 168, 232, 147, 211, 170, 234)(142, 206, 171, 235, 148, 212, 172, 236)(144, 208, 159, 223, 176, 240, 152, 216)(151, 215, 169, 233, 187, 251, 175, 239)(154, 218, 179, 243, 160, 224, 181, 245)(155, 219, 182, 246, 161, 225, 183, 247)(164, 228, 180, 244, 190, 254, 186, 250)(173, 237, 188, 252, 174, 238, 189, 253)(184, 248, 191, 255, 185, 249, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 147)(6, 129)(7, 154)(8, 157)(9, 160)(10, 130)(11, 161)(12, 166)(13, 169)(14, 131)(15, 173)(16, 170)(17, 174)(18, 155)(19, 175)(20, 133)(21, 159)(22, 152)(23, 134)(24, 148)(25, 177)(26, 180)(27, 135)(28, 184)(29, 181)(30, 185)(31, 142)(32, 186)(33, 137)(34, 146)(35, 139)(36, 138)(37, 179)(38, 176)(39, 140)(40, 188)(41, 143)(42, 189)(43, 187)(44, 151)(45, 149)(46, 150)(47, 145)(48, 168)(49, 165)(50, 153)(51, 191)(52, 156)(53, 192)(54, 190)(55, 164)(56, 162)(57, 163)(58, 158)(59, 167)(60, 171)(61, 172)(62, 178)(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, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1347 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y1 * Y2 * Y1)^2, Y2 * Y3 * Y1 * Y2 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^4, Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 87, 23, 99, 35, 92, 28, 74)(13, 84, 20, 100, 36, 97, 33, 77)(25, 108, 44, 93, 29, 106, 42, 89)(26, 105, 41, 94, 30, 102, 38, 90)(27, 109, 45, 116, 52, 111, 47, 91)(31, 104, 40, 98, 34, 101, 37, 95)(32, 113, 49, 117, 53, 114, 50, 96)(39, 118, 54, 115, 51, 120, 56, 103)(43, 121, 57, 112, 48, 122, 58, 107)(46, 119, 55, 126, 62, 124, 60, 110)(59, 128, 64, 125, 61, 127, 63, 123)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 26)(14, 30)(16, 28)(18, 36)(19, 37)(20, 39)(21, 40)(22, 38)(24, 41)(31, 49)(32, 46)(33, 51)(34, 50)(35, 52)(42, 57)(43, 55)(44, 58)(45, 59)(47, 61)(48, 60)(53, 62)(54, 63)(56, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 95)(77, 96)(78, 98)(79, 97)(81, 99)(83, 102)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(91, 110)(92, 112)(93, 111)(100, 117)(101, 118)(103, 119)(104, 120)(113, 123)(114, 125)(115, 124)(116, 126)(121, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1348 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 48, 112, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 55, 119, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 45, 109, 59, 123, 46, 110)(28, 92, 50, 114, 30, 94, 51, 115)(35, 99, 52, 116, 62, 126, 53, 117)(38, 102, 57, 121, 40, 104, 58, 122)(47, 111, 60, 124, 49, 113, 61, 125)(54, 118, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 150)(144, 147)(153, 163)(154, 175)(155, 177)(156, 173)(157, 176)(158, 174)(159, 179)(160, 178)(161, 172)(162, 171)(164, 182)(165, 184)(166, 180)(167, 183)(168, 181)(169, 186)(170, 185)(187, 190)(188, 192)(189, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 221)(207, 219)(209, 227)(210, 230)(211, 232)(212, 228)(214, 231)(215, 229)(223, 236)(224, 235)(225, 234)(226, 233)(237, 246)(238, 248)(239, 244)(240, 251)(241, 245)(242, 253)(243, 252)(247, 254)(249, 256)(250, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1350
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1349 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 371>$ (small group id <128, 371>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y2^2 * Y1^2, Y1^-2 * Y2^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 19, 83)(7, 71, 20, 84)(8, 72, 22, 86)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 34, 98)(14, 78, 35, 99)(15, 79, 36, 100)(16, 80, 37, 101)(17, 81, 38, 102)(21, 85, 40, 104)(23, 87, 44, 108)(24, 88, 45, 109)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 48, 112)(29, 93, 49, 113)(31, 95, 52, 116)(32, 96, 53, 117)(33, 97, 54, 118)(39, 103, 55, 119)(41, 105, 58, 122)(42, 106, 59, 123)(43, 107, 60, 124)(50, 114, 61, 125)(51, 115, 62, 126)(56, 120, 63, 127)(57, 121, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 148, 144)(136, 149, 138, 151)(137, 152, 146, 154)(140, 153, 147, 155)(143, 150, 145, 156)(157, 167, 159, 169)(158, 178, 162, 179)(160, 177, 161, 180)(163, 182, 165, 181)(164, 176, 166, 174)(168, 184, 172, 185)(170, 183, 171, 186)(173, 188, 175, 187)(189, 192, 190, 191)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 212, 209)(201, 217, 210, 219)(203, 221, 205, 223)(204, 224, 211, 225)(206, 222, 208, 226)(213, 231, 215, 233)(214, 234, 220, 235)(216, 232, 218, 236)(227, 240, 229, 238)(228, 239, 230, 237)(241, 248, 244, 249)(242, 247, 243, 250)(245, 254, 246, 253)(251, 256, 252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1351
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1350 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 48, 112, 176, 240, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 55, 119, 183, 247, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 45, 109, 173, 237, 59, 123, 187, 251, 46, 110, 174, 238)(28, 92, 156, 220, 50, 114, 178, 242, 30, 94, 158, 222, 51, 115, 179, 243)(35, 99, 163, 227, 52, 116, 180, 244, 62, 126, 190, 254, 53, 117, 181, 245)(38, 102, 166, 230, 57, 121, 185, 249, 40, 104, 168, 232, 58, 122, 186, 250)(47, 111, 175, 239, 60, 124, 188, 252, 49, 113, 177, 241, 61, 125, 189, 253)(54, 118, 182, 246, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 86)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 78)(23, 72)(24, 75)(25, 99)(26, 111)(27, 113)(28, 109)(29, 112)(30, 110)(31, 115)(32, 114)(33, 108)(34, 107)(35, 89)(36, 118)(37, 120)(38, 116)(39, 119)(40, 117)(41, 122)(42, 121)(43, 98)(44, 97)(45, 92)(46, 94)(47, 90)(48, 93)(49, 91)(50, 96)(51, 95)(52, 102)(53, 104)(54, 100)(55, 103)(56, 101)(57, 106)(58, 105)(59, 126)(60, 128)(61, 127)(62, 123)(63, 125)(64, 124)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 221)(143, 219)(144, 197)(145, 227)(146, 230)(147, 232)(148, 228)(149, 199)(150, 231)(151, 229)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 206)(158, 203)(159, 236)(160, 235)(161, 234)(162, 233)(163, 209)(164, 212)(165, 215)(166, 210)(167, 214)(168, 211)(169, 226)(170, 225)(171, 224)(172, 223)(173, 246)(174, 248)(175, 244)(176, 251)(177, 245)(178, 253)(179, 252)(180, 239)(181, 241)(182, 237)(183, 254)(184, 238)(185, 256)(186, 255)(187, 240)(188, 243)(189, 242)(190, 247)(191, 250)(192, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1348
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1351 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 371>$ (small group id <128, 371>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^4, Y2^2 * Y1^2, Y1^-2 * Y2^2, (R * Y3)^2, R * Y2 * R * Y1, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, Y3 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 19, 83, 147, 211)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 22, 86, 150, 214)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 30, 94, 158, 222)(13, 77, 141, 205, 34, 98, 162, 226)(14, 78, 142, 206, 35, 99, 163, 227)(15, 79, 143, 207, 36, 100, 164, 228)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 38, 102, 166, 230)(21, 85, 149, 213, 40, 104, 168, 232)(23, 87, 151, 215, 44, 108, 172, 236)(24, 88, 152, 216, 45, 109, 173, 237)(25, 89, 153, 217, 46, 110, 174, 238)(26, 90, 154, 218, 47, 111, 175, 239)(27, 91, 155, 219, 48, 112, 176, 240)(29, 93, 157, 221, 49, 113, 177, 241)(31, 95, 159, 223, 52, 116, 180, 244)(32, 96, 160, 224, 53, 117, 181, 245)(33, 97, 161, 225, 54, 118, 182, 246)(39, 103, 167, 231, 55, 119, 183, 247)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(43, 107, 171, 235, 60, 124, 188, 252)(50, 114, 178, 242, 61, 125, 189, 253)(51, 115, 179, 243, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255)(57, 121, 185, 249, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 85)(9, 88)(10, 87)(11, 70)(12, 89)(13, 67)(14, 84)(15, 86)(16, 68)(17, 92)(18, 90)(19, 91)(20, 80)(21, 74)(22, 81)(23, 72)(24, 82)(25, 83)(26, 73)(27, 76)(28, 79)(29, 103)(30, 114)(31, 105)(32, 113)(33, 116)(34, 115)(35, 118)(36, 112)(37, 117)(38, 110)(39, 95)(40, 120)(41, 93)(42, 119)(43, 122)(44, 121)(45, 124)(46, 100)(47, 123)(48, 102)(49, 97)(50, 98)(51, 94)(52, 96)(53, 99)(54, 101)(55, 107)(56, 108)(57, 104)(58, 106)(59, 109)(60, 111)(61, 128)(62, 127)(63, 125)(64, 126)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 217)(138, 194)(139, 221)(140, 224)(141, 223)(142, 222)(143, 212)(144, 226)(145, 196)(146, 219)(147, 225)(148, 209)(149, 231)(150, 234)(151, 233)(152, 232)(153, 210)(154, 236)(155, 201)(156, 235)(157, 205)(158, 208)(159, 203)(160, 211)(161, 204)(162, 206)(163, 240)(164, 239)(165, 238)(166, 237)(167, 215)(168, 218)(169, 213)(170, 220)(171, 214)(172, 216)(173, 228)(174, 227)(175, 230)(176, 229)(177, 248)(178, 247)(179, 250)(180, 249)(181, 254)(182, 253)(183, 243)(184, 244)(185, 241)(186, 242)(187, 256)(188, 255)(189, 245)(190, 246)(191, 251)(192, 252)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1349
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 2057>$ (small group id <128, 2057>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y3^4, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-2 * Y2^-1 * Y1 * Y3^2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^2 * Y2 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 47, 111)(29, 93, 52, 116)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 50, 114)(34, 98, 55, 119)(37, 101, 56, 120)(39, 103, 61, 125)(43, 107, 59, 123)(44, 108, 64, 128)(48, 112, 62, 126)(49, 113, 60, 124)(51, 115, 58, 122)(53, 117, 57, 121)(54, 118, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 150, 214, 169, 233, 152, 216)(138, 202, 149, 213, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 182, 246, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 191, 255, 172, 236)(156, 220, 177, 241, 163, 227, 179, 243)(158, 222, 176, 240, 164, 228, 181, 245)(166, 230, 186, 250, 173, 237, 188, 252)(168, 232, 185, 249, 174, 238, 190, 254)(175, 239, 187, 251, 180, 244, 192, 256)(178, 242, 189, 253, 183, 247, 184, 248)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 149)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 133)(17, 163)(18, 162)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 137)(25, 173)(26, 172)(27, 176)(28, 178)(29, 181)(30, 139)(31, 182)(32, 140)(33, 142)(34, 144)(35, 183)(36, 145)(37, 185)(38, 187)(39, 190)(40, 147)(41, 191)(42, 148)(43, 150)(44, 152)(45, 192)(46, 153)(47, 188)(48, 189)(49, 155)(50, 158)(51, 157)(52, 186)(53, 184)(54, 160)(55, 164)(56, 179)(57, 180)(58, 165)(59, 168)(60, 167)(61, 177)(62, 175)(63, 170)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 167>)
Aut   = $<128, 2026>$ (small group id <128, 2026>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y3^-2 * Y2^2, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 15, 79)(6, 70, 8, 72)(7, 71, 16, 80)(9, 73, 20, 84)(12, 76, 17, 81)(13, 77, 24, 88)(14, 78, 22, 86)(18, 82, 28, 92)(19, 83, 26, 90)(21, 85, 29, 93)(23, 87, 32, 96)(25, 89, 33, 97)(27, 91, 36, 100)(30, 94, 40, 104)(31, 95, 38, 102)(34, 98, 44, 108)(35, 99, 42, 106)(37, 101, 45, 109)(39, 103, 48, 112)(41, 105, 49, 113)(43, 107, 52, 116)(46, 110, 56, 120)(47, 111, 54, 118)(50, 114, 60, 124)(51, 115, 58, 122)(53, 117, 57, 121)(55, 119, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 145, 209, 137, 201)(132, 196, 142, 206, 134, 198, 141, 205)(136, 200, 147, 211, 138, 202, 146, 210)(139, 203, 149, 213, 143, 207, 151, 215)(144, 208, 153, 217, 148, 212, 155, 219)(150, 214, 159, 223, 152, 216, 158, 222)(154, 218, 163, 227, 156, 220, 162, 226)(157, 221, 165, 229, 160, 224, 167, 231)(161, 225, 169, 233, 164, 228, 171, 235)(166, 230, 175, 239, 168, 232, 174, 238)(170, 234, 179, 243, 172, 236, 178, 242)(173, 237, 181, 245, 176, 240, 183, 247)(177, 241, 185, 249, 180, 244, 187, 251)(182, 246, 190, 254, 184, 248, 189, 253)(186, 250, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 146)(8, 145)(9, 147)(10, 130)(11, 150)(12, 134)(13, 133)(14, 131)(15, 152)(16, 154)(17, 138)(18, 137)(19, 135)(20, 156)(21, 158)(22, 143)(23, 159)(24, 139)(25, 162)(26, 148)(27, 163)(28, 144)(29, 166)(30, 151)(31, 149)(32, 168)(33, 170)(34, 155)(35, 153)(36, 172)(37, 174)(38, 160)(39, 175)(40, 157)(41, 178)(42, 164)(43, 179)(44, 161)(45, 182)(46, 167)(47, 165)(48, 184)(49, 186)(50, 171)(51, 169)(52, 188)(53, 189)(54, 176)(55, 190)(56, 173)(57, 191)(58, 180)(59, 192)(60, 177)(61, 183)(62, 181)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1354 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y1^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 91, 27, 77, 13, 92, 28, 74)(20, 101, 37, 87, 23, 102, 38, 84)(25, 108, 44, 93, 29, 106, 42, 89)(26, 104, 40, 94, 30, 100, 36, 90)(31, 107, 43, 97, 33, 105, 41, 95)(32, 103, 39, 98, 34, 99, 35, 96)(45, 121, 57, 110, 46, 119, 55, 109)(47, 118, 54, 113, 49, 117, 53, 111)(48, 124, 60, 114, 50, 123, 59, 112)(51, 122, 58, 116, 52, 120, 56, 115)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 18)(11, 29)(12, 31)(14, 33)(16, 20)(19, 35)(21, 39)(22, 41)(24, 43)(26, 46)(27, 47)(28, 49)(30, 45)(32, 52)(34, 51)(36, 54)(37, 55)(38, 57)(40, 53)(42, 60)(44, 59)(48, 62)(50, 61)(56, 64)(58, 63)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 96)(77, 81)(78, 98)(79, 87)(83, 100)(85, 104)(86, 106)(88, 108)(89, 109)(91, 112)(92, 114)(93, 110)(95, 115)(97, 116)(99, 117)(101, 120)(102, 122)(103, 118)(105, 123)(107, 124)(111, 125)(113, 126)(119, 127)(121, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1355 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 17, 81, 11, 75)(6, 70, 18, 82, 9, 73, 19, 83)(12, 76, 30, 94, 15, 79, 31, 95)(13, 77, 33, 97, 16, 80, 34, 98)(20, 84, 40, 104, 23, 87, 41, 105)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 27, 91, 47, 111)(26, 90, 49, 113, 28, 92, 50, 114)(29, 93, 51, 115, 32, 96, 52, 116)(35, 99, 54, 118, 37, 101, 55, 119)(36, 100, 57, 121, 38, 102, 58, 122)(39, 103, 59, 123, 42, 106, 60, 124)(45, 109, 61, 125, 48, 112, 62, 126)(53, 117, 63, 127, 56, 120, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 153)(139, 155)(141, 160)(142, 150)(144, 157)(146, 163)(147, 165)(149, 170)(152, 167)(154, 176)(156, 173)(158, 178)(159, 177)(161, 175)(162, 174)(164, 184)(166, 181)(168, 186)(169, 185)(171, 183)(172, 182)(179, 188)(180, 187)(189, 191)(190, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 214)(202, 218)(203, 220)(204, 221)(206, 209)(207, 224)(210, 228)(211, 230)(212, 231)(215, 234)(217, 237)(219, 240)(222, 236)(223, 235)(225, 233)(226, 232)(227, 245)(229, 248)(238, 249)(239, 250)(241, 246)(242, 247)(243, 254)(244, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1356
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1356 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-1 * Y1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3^-1 * Y2 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 17, 81, 145, 209, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 9, 73, 137, 201, 19, 83, 147, 211)(12, 76, 140, 204, 30, 94, 158, 222, 15, 79, 143, 207, 31, 95, 159, 223)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(20, 84, 148, 212, 40, 104, 168, 232, 23, 87, 151, 215, 41, 105, 169, 233)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 27, 91, 155, 219, 47, 111, 175, 239)(26, 90, 154, 218, 49, 113, 177, 241, 28, 92, 156, 220, 50, 114, 178, 242)(29, 93, 157, 221, 51, 115, 179, 243, 32, 96, 160, 224, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 37, 101, 165, 229, 55, 119, 183, 247)(36, 100, 164, 228, 57, 121, 185, 249, 38, 102, 166, 230, 58, 122, 186, 250)(39, 103, 167, 231, 59, 123, 187, 251, 42, 106, 170, 234, 60, 124, 188, 252)(45, 109, 173, 237, 61, 125, 189, 253, 48, 112, 176, 240, 62, 126, 190, 254)(53, 117, 181, 245, 63, 127, 191, 255, 56, 120, 184, 248, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 89)(11, 91)(12, 68)(13, 96)(14, 86)(15, 69)(16, 93)(17, 70)(18, 99)(19, 101)(20, 71)(21, 106)(22, 78)(23, 72)(24, 103)(25, 74)(26, 112)(27, 75)(28, 109)(29, 80)(30, 114)(31, 113)(32, 77)(33, 111)(34, 110)(35, 82)(36, 120)(37, 83)(38, 117)(39, 88)(40, 122)(41, 121)(42, 85)(43, 119)(44, 118)(45, 92)(46, 98)(47, 97)(48, 90)(49, 95)(50, 94)(51, 124)(52, 123)(53, 102)(54, 108)(55, 107)(56, 100)(57, 105)(58, 104)(59, 116)(60, 115)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 214)(138, 218)(139, 220)(140, 221)(141, 196)(142, 209)(143, 224)(144, 197)(145, 206)(146, 228)(147, 230)(148, 231)(149, 199)(150, 201)(151, 234)(152, 200)(153, 237)(154, 202)(155, 240)(156, 203)(157, 204)(158, 236)(159, 235)(160, 207)(161, 233)(162, 232)(163, 245)(164, 210)(165, 248)(166, 211)(167, 212)(168, 226)(169, 225)(170, 215)(171, 223)(172, 222)(173, 217)(174, 249)(175, 250)(176, 219)(177, 246)(178, 247)(179, 254)(180, 253)(181, 227)(182, 241)(183, 242)(184, 229)(185, 238)(186, 239)(187, 256)(188, 255)(189, 244)(190, 243)(191, 252)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1355
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1357 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
Aut   = $<128, 2050>$ (small group id <128, 2050>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^4, Y2^4, Y2^-1 * Y3^-2 * Y2^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, Y1 * Y2^-2 * Y1 * Y2^2, Y2^-1 * Y1 * Y3^-2 * Y1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^4, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 18, 82)(9, 73, 24, 88)(12, 76, 19, 83)(13, 77, 28, 92)(14, 78, 26, 90)(15, 79, 31, 95)(16, 80, 34, 98)(20, 84, 38, 102)(21, 85, 36, 100)(22, 86, 41, 105)(23, 87, 44, 108)(25, 89, 45, 109)(27, 91, 50, 114)(29, 93, 40, 104)(30, 94, 39, 103)(32, 96, 54, 118)(33, 97, 53, 117)(35, 99, 55, 119)(37, 101, 60, 124)(42, 106, 64, 128)(43, 107, 63, 127)(46, 110, 58, 122)(47, 111, 59, 123)(48, 112, 56, 120)(49, 113, 57, 121)(51, 115, 61, 125)(52, 116, 62, 126)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 147, 211, 137, 201)(132, 196, 143, 207, 134, 198, 144, 208)(136, 200, 150, 214, 138, 202, 151, 215)(139, 203, 153, 217, 145, 209, 155, 219)(141, 205, 157, 221, 142, 206, 158, 222)(146, 210, 163, 227, 152, 216, 165, 229)(148, 212, 167, 231, 149, 213, 168, 232)(154, 218, 176, 240, 156, 220, 177, 241)(159, 223, 175, 239, 162, 226, 174, 238)(160, 224, 179, 243, 161, 225, 180, 244)(164, 228, 186, 250, 166, 230, 187, 251)(169, 233, 185, 249, 172, 236, 184, 248)(170, 234, 189, 253, 171, 235, 190, 254)(173, 237, 191, 255, 178, 242, 192, 256)(181, 245, 188, 252, 182, 246, 183, 247)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 148)(8, 147)(9, 149)(10, 130)(11, 154)(12, 134)(13, 133)(14, 131)(15, 160)(16, 161)(17, 156)(18, 164)(19, 138)(20, 137)(21, 135)(22, 170)(23, 171)(24, 166)(25, 174)(26, 145)(27, 175)(28, 139)(29, 179)(30, 180)(31, 181)(32, 144)(33, 143)(34, 182)(35, 184)(36, 152)(37, 185)(38, 146)(39, 189)(40, 190)(41, 191)(42, 151)(43, 150)(44, 192)(45, 187)(46, 155)(47, 153)(48, 183)(49, 188)(50, 186)(51, 158)(52, 157)(53, 162)(54, 159)(55, 177)(56, 165)(57, 163)(58, 173)(59, 178)(60, 176)(61, 168)(62, 167)(63, 172)(64, 169)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1358
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1358 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 171>)
Aut   = $<128, 2050>$ (small group id <128, 2050>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y2 * Y3 * Y2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, R * Y2 * R * Y2^-1, Y3^4, Y2^4, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 34, 98)(16, 80, 24, 88)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(23, 87, 44, 108)(26, 90, 46, 110)(27, 91, 47, 111)(29, 93, 52, 116)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 51, 115)(35, 99, 55, 119)(37, 101, 56, 120)(39, 103, 61, 125)(43, 107, 60, 124)(45, 109, 64, 128)(48, 112, 59, 123)(49, 113, 62, 126)(50, 114, 57, 121)(53, 117, 58, 122)(54, 118, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 143, 207, 159, 223, 141, 205)(134, 198, 146, 210, 160, 224, 142, 206)(136, 200, 151, 215, 169, 233, 149, 213)(138, 202, 154, 218, 170, 234, 150, 214)(139, 203, 155, 219, 145, 209, 157, 221)(144, 208, 161, 225, 182, 246, 163, 227)(147, 211, 165, 229, 153, 217, 167, 231)(152, 216, 171, 235, 191, 255, 173, 237)(156, 220, 178, 242, 164, 228, 176, 240)(158, 222, 181, 245, 162, 226, 177, 241)(166, 230, 187, 251, 174, 238, 185, 249)(168, 232, 190, 254, 172, 236, 186, 250)(175, 239, 188, 252, 180, 244, 192, 256)(179, 243, 189, 253, 183, 247, 184, 248)
	L = (1, 132)(2, 136)(3, 141)(4, 144)(5, 143)(6, 129)(7, 149)(8, 152)(9, 151)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 163)(16, 134)(17, 164)(18, 133)(19, 166)(20, 169)(21, 171)(22, 135)(23, 173)(24, 138)(25, 174)(26, 137)(27, 176)(28, 179)(29, 178)(30, 139)(31, 182)(32, 140)(33, 142)(34, 145)(35, 146)(36, 183)(37, 185)(38, 188)(39, 187)(40, 147)(41, 191)(42, 148)(43, 150)(44, 153)(45, 154)(46, 192)(47, 190)(48, 189)(49, 155)(50, 184)(51, 158)(52, 186)(53, 157)(54, 160)(55, 162)(56, 181)(57, 180)(58, 165)(59, 175)(60, 168)(61, 177)(62, 167)(63, 170)(64, 172)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1357
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1359 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 173>)
Aut   = $<128, 2004>$ (small group id <128, 2004>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y2^-1 * Y3^-1 * Y2 * Y3^-1, (R * Y3)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 19, 83)(9, 73, 25, 89)(12, 76, 20, 84)(13, 77, 30, 94)(14, 78, 28, 92)(15, 79, 23, 87)(16, 80, 35, 99)(18, 82, 36, 100)(21, 85, 40, 104)(22, 86, 38, 102)(24, 88, 45, 109)(26, 90, 46, 110)(27, 91, 39, 103)(29, 93, 37, 101)(31, 95, 42, 106)(32, 96, 41, 105)(33, 97, 49, 113)(34, 98, 53, 117)(43, 107, 56, 120)(44, 108, 60, 124)(47, 111, 57, 121)(48, 112, 58, 122)(50, 114, 54, 118)(51, 115, 55, 119)(52, 116, 59, 123)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 148, 212, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 150, 214, 169, 233, 152, 216)(138, 202, 149, 213, 170, 234, 154, 218)(139, 203, 155, 219, 145, 209, 157, 221)(143, 207, 161, 225, 180, 244, 162, 226)(147, 211, 165, 229, 153, 217, 167, 231)(151, 215, 171, 235, 187, 251, 172, 236)(156, 220, 176, 240, 163, 227, 178, 242)(158, 222, 175, 239, 164, 228, 179, 243)(166, 230, 183, 247, 173, 237, 185, 249)(168, 232, 182, 246, 174, 238, 186, 250)(177, 241, 189, 253, 181, 245, 190, 254)(184, 248, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 149)(8, 151)(9, 154)(10, 130)(11, 156)(12, 159)(13, 161)(14, 131)(15, 134)(16, 133)(17, 163)(18, 162)(19, 166)(20, 169)(21, 171)(22, 135)(23, 138)(24, 137)(25, 173)(26, 172)(27, 175)(28, 177)(29, 179)(30, 139)(31, 180)(32, 140)(33, 142)(34, 144)(35, 181)(36, 145)(37, 182)(38, 184)(39, 186)(40, 147)(41, 187)(42, 148)(43, 150)(44, 152)(45, 188)(46, 153)(47, 189)(48, 155)(49, 158)(50, 157)(51, 190)(52, 160)(53, 164)(54, 191)(55, 165)(56, 168)(57, 167)(58, 192)(59, 170)(60, 174)(61, 176)(62, 178)(63, 183)(64, 185)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1360 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 176>)
Aut   = $<128, 2022>$ (small group id <128, 2022>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (R * Y3)^2, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y3^-4 * Y2^-1, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 37, 101)(18, 82, 38, 102)(19, 83, 24, 88)(22, 86, 42, 106)(23, 87, 40, 104)(25, 89, 47, 111)(27, 91, 48, 112)(29, 93, 39, 103)(31, 95, 41, 105)(33, 97, 44, 108)(34, 98, 43, 107)(35, 99, 54, 118)(36, 100, 51, 115)(45, 109, 60, 124)(46, 110, 57, 121)(49, 113, 56, 120)(50, 114, 55, 119)(52, 116, 59, 123)(53, 117, 58, 122)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 141, 205, 162, 226, 146, 210)(136, 200, 151, 215, 171, 235, 153, 217)(138, 202, 150, 214, 172, 236, 155, 219)(139, 203, 157, 221, 145, 209, 159, 223)(143, 207, 164, 228, 147, 211, 163, 227)(148, 212, 167, 231, 154, 218, 169, 233)(152, 216, 174, 238, 156, 220, 173, 237)(158, 222, 178, 242, 165, 229, 180, 244)(160, 224, 177, 241, 166, 230, 181, 245)(168, 232, 184, 248, 175, 239, 186, 250)(170, 234, 183, 247, 176, 240, 187, 251)(179, 243, 190, 254, 182, 246, 189, 253)(185, 249, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 162)(16, 133)(17, 165)(18, 164)(19, 134)(20, 168)(21, 171)(22, 173)(23, 135)(24, 172)(25, 137)(26, 175)(27, 174)(28, 138)(29, 177)(30, 179)(31, 181)(32, 139)(33, 147)(34, 140)(35, 144)(36, 142)(37, 182)(38, 145)(39, 183)(40, 185)(41, 187)(42, 148)(43, 156)(44, 149)(45, 153)(46, 151)(47, 188)(48, 154)(49, 189)(50, 157)(51, 166)(52, 159)(53, 190)(54, 160)(55, 191)(56, 167)(57, 176)(58, 169)(59, 192)(60, 170)(61, 180)(62, 178)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1361 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 176>)
Aut   = $<128, 2012>$ (small group id <128, 2012>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3^-4 * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 32, 96)(14, 78, 30, 94)(15, 79, 28, 92)(16, 80, 37, 101)(18, 82, 38, 102)(19, 83, 24, 88)(22, 86, 42, 106)(23, 87, 40, 104)(25, 89, 47, 111)(27, 91, 48, 112)(29, 93, 41, 105)(31, 95, 39, 103)(33, 97, 44, 108)(34, 98, 43, 107)(35, 99, 54, 118)(36, 100, 51, 115)(45, 109, 60, 124)(46, 110, 57, 121)(49, 113, 58, 122)(50, 114, 59, 123)(52, 116, 55, 119)(53, 117, 56, 120)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 161, 225, 144, 208)(134, 198, 141, 205, 162, 226, 146, 210)(136, 200, 151, 215, 171, 235, 153, 217)(138, 202, 150, 214, 172, 236, 155, 219)(139, 203, 157, 221, 145, 209, 159, 223)(143, 207, 164, 228, 147, 211, 163, 227)(148, 212, 167, 231, 154, 218, 169, 233)(152, 216, 174, 238, 156, 220, 173, 237)(158, 222, 178, 242, 165, 229, 180, 244)(160, 224, 177, 241, 166, 230, 181, 245)(168, 232, 184, 248, 175, 239, 186, 250)(170, 234, 183, 247, 176, 240, 187, 251)(179, 243, 190, 254, 182, 246, 189, 253)(185, 249, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 158)(12, 161)(13, 163)(14, 131)(15, 162)(16, 133)(17, 165)(18, 164)(19, 134)(20, 168)(21, 171)(22, 173)(23, 135)(24, 172)(25, 137)(26, 175)(27, 174)(28, 138)(29, 177)(30, 179)(31, 181)(32, 139)(33, 147)(34, 140)(35, 144)(36, 142)(37, 182)(38, 145)(39, 183)(40, 185)(41, 187)(42, 148)(43, 156)(44, 149)(45, 153)(46, 151)(47, 188)(48, 154)(49, 189)(50, 157)(51, 166)(52, 159)(53, 190)(54, 160)(55, 191)(56, 167)(57, 176)(58, 169)(59, 192)(60, 170)(61, 180)(62, 178)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1362 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 918>$ (small group id <128, 918>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3, (Y1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 87, 23, 99, 35, 92, 28, 74)(13, 84, 20, 100, 36, 97, 33, 77)(25, 106, 42, 93, 29, 108, 44, 89)(26, 102, 38, 94, 30, 105, 41, 90)(27, 109, 45, 117, 53, 111, 47, 91)(31, 101, 37, 98, 34, 104, 40, 95)(32, 113, 49, 118, 54, 115, 51, 96)(39, 119, 55, 116, 52, 121, 57, 103)(43, 122, 58, 112, 48, 124, 60, 107)(46, 123, 59, 114, 50, 120, 56, 110)(61, 128, 64, 126, 62, 127, 63, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 26)(14, 30)(16, 28)(18, 36)(19, 37)(20, 39)(21, 40)(22, 38)(24, 41)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 59)(44, 60)(45, 61)(46, 54)(47, 62)(48, 56)(55, 63)(57, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 95)(77, 96)(78, 98)(79, 97)(81, 99)(83, 102)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(91, 110)(92, 112)(93, 111)(100, 118)(101, 119)(103, 120)(104, 121)(113, 126)(114, 117)(115, 125)(116, 123)(122, 128)(124, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1363 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: halfedge^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1^2 * Y3 * Y1^-2, (Y1 * Y2 * Y1)^2, Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y3, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y1, (Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1)^2 ]
Map:: non-degenerate
	R = (1, 66, 2, 70, 6, 69, 5, 65)(3, 73, 9, 81, 17, 75, 11, 67)(4, 76, 12, 82, 18, 78, 14, 68)(7, 83, 19, 79, 15, 85, 21, 71)(8, 86, 22, 80, 16, 88, 24, 72)(10, 87, 23, 99, 35, 92, 28, 74)(13, 84, 20, 100, 36, 97, 33, 77)(25, 108, 44, 93, 29, 106, 42, 89)(26, 105, 41, 94, 30, 102, 38, 90)(27, 109, 45, 117, 53, 111, 47, 91)(31, 104, 40, 98, 34, 101, 37, 95)(32, 113, 49, 118, 54, 115, 51, 96)(39, 119, 55, 116, 52, 121, 57, 103)(43, 122, 58, 112, 48, 124, 60, 107)(46, 123, 59, 114, 50, 120, 56, 110)(61, 127, 63, 126, 62, 128, 64, 125)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 27)(11, 29)(12, 26)(14, 30)(16, 28)(18, 36)(19, 37)(20, 39)(21, 40)(22, 38)(24, 41)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 59)(44, 60)(45, 61)(46, 54)(47, 62)(48, 56)(55, 63)(57, 64)(65, 68)(66, 72)(67, 74)(69, 80)(70, 82)(71, 84)(73, 90)(75, 94)(76, 95)(77, 96)(78, 98)(79, 97)(81, 99)(83, 102)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(91, 110)(92, 112)(93, 111)(100, 118)(101, 119)(103, 120)(104, 121)(113, 126)(114, 117)(115, 125)(116, 123)(122, 128)(124, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1364 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 918>$ (small group id <128, 918>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 49, 113, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 53, 117, 47, 111)(28, 92, 51, 115, 30, 94, 52, 116)(35, 99, 54, 118, 45, 109, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(48, 112, 61, 125, 50, 114, 62, 126)(56, 120, 63, 127, 58, 122, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 150)(144, 147)(153, 173)(154, 176)(155, 178)(156, 174)(157, 177)(158, 175)(159, 179)(160, 180)(161, 171)(162, 172)(163, 181)(164, 184)(165, 186)(166, 182)(167, 185)(168, 183)(169, 187)(170, 188)(189, 192)(190, 191)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 221)(207, 219)(209, 227)(210, 230)(211, 232)(212, 228)(214, 231)(215, 229)(223, 235)(224, 236)(225, 233)(226, 234)(237, 249)(238, 250)(239, 248)(240, 247)(241, 245)(242, 246)(243, 253)(244, 254)(251, 255)(252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1368
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1365 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-2 * Y1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 4, 68, 14, 78, 5, 69)(2, 66, 7, 71, 22, 86, 8, 72)(3, 67, 10, 74, 29, 93, 11, 75)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 26, 90, 49, 113, 27, 91)(12, 76, 31, 95, 15, 79, 32, 96)(13, 77, 33, 97, 16, 80, 34, 98)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(21, 85, 43, 107, 24, 88, 44, 108)(25, 89, 46, 110, 53, 117, 47, 111)(28, 92, 51, 115, 30, 94, 52, 116)(35, 99, 54, 118, 45, 109, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(48, 112, 61, 125, 50, 114, 62, 126)(56, 120, 63, 127, 58, 122, 64, 128)(129, 130)(131, 137)(132, 140)(133, 143)(134, 145)(135, 148)(136, 151)(138, 149)(139, 152)(141, 146)(142, 150)(144, 147)(153, 173)(154, 176)(155, 178)(156, 174)(157, 177)(158, 175)(159, 180)(160, 179)(161, 172)(162, 171)(163, 181)(164, 184)(165, 186)(166, 182)(167, 185)(168, 183)(169, 188)(170, 187)(189, 191)(190, 192)(193, 195)(194, 198)(196, 205)(197, 208)(199, 213)(200, 216)(201, 217)(202, 220)(203, 222)(204, 218)(206, 221)(207, 219)(209, 227)(210, 230)(211, 232)(212, 228)(214, 231)(215, 229)(223, 236)(224, 235)(225, 234)(226, 233)(237, 249)(238, 250)(239, 248)(240, 247)(241, 245)(242, 246)(243, 254)(244, 253)(251, 256)(252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1369
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1366 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 919>$ (small group id <128, 919>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, Y2^4, Y2 * Y1^2 * Y2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2^2 * Y3 * Y1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 19, 83)(7, 71, 20, 84)(8, 72, 22, 86)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 34, 98)(14, 78, 35, 99)(15, 79, 36, 100)(16, 80, 37, 101)(17, 81, 38, 102)(21, 85, 40, 104)(23, 87, 44, 108)(24, 88, 45, 109)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 48, 112)(29, 93, 49, 113)(31, 95, 52, 116)(32, 96, 53, 117)(33, 97, 54, 118)(39, 103, 55, 119)(41, 105, 58, 122)(42, 106, 59, 123)(43, 107, 60, 124)(50, 114, 61, 125)(51, 115, 62, 126)(56, 120, 63, 127)(57, 121, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 148, 144)(136, 149, 138, 151)(137, 152, 146, 154)(140, 153, 147, 155)(143, 150, 145, 156)(157, 169, 159, 167)(158, 178, 162, 179)(160, 177, 161, 180)(163, 181, 165, 182)(164, 174, 166, 176)(168, 184, 172, 185)(170, 183, 171, 186)(173, 187, 175, 188)(189, 192, 190, 191)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 212, 209)(201, 217, 210, 219)(203, 221, 205, 223)(204, 224, 211, 225)(206, 222, 208, 226)(213, 231, 215, 233)(214, 234, 220, 235)(216, 232, 218, 236)(227, 238, 229, 240)(228, 237, 230, 239)(241, 249, 244, 248)(242, 250, 243, 247)(245, 253, 246, 254)(251, 255, 252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1370
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1367 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 4, 4})
Quotient :: edge^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 926>$ (small group id <128, 926>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y1^-2 * Y2^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^-2 * Y2^-2, (Y2 * Y3 * Y1)^2, (Y3 * Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 4, 68)(2, 66, 9, 73)(3, 67, 12, 76)(5, 69, 18, 82)(6, 70, 19, 83)(7, 71, 20, 84)(8, 72, 22, 86)(10, 74, 28, 92)(11, 75, 30, 94)(13, 77, 34, 98)(14, 78, 35, 99)(15, 79, 36, 100)(16, 80, 37, 101)(17, 81, 38, 102)(21, 85, 40, 104)(23, 87, 44, 108)(24, 88, 45, 109)(25, 89, 46, 110)(26, 90, 47, 111)(27, 91, 48, 112)(29, 93, 49, 113)(31, 95, 52, 116)(32, 96, 53, 117)(33, 97, 54, 118)(39, 103, 55, 119)(41, 105, 58, 122)(42, 106, 59, 123)(43, 107, 60, 124)(50, 114, 61, 125)(51, 115, 62, 126)(56, 120, 63, 127)(57, 121, 64, 128)(129, 130, 135, 133)(131, 139, 134, 141)(132, 142, 148, 144)(136, 149, 138, 151)(137, 152, 146, 154)(140, 153, 147, 155)(143, 150, 145, 156)(157, 169, 159, 167)(158, 178, 162, 179)(160, 177, 161, 180)(163, 182, 165, 181)(164, 176, 166, 174)(168, 184, 172, 185)(170, 183, 171, 186)(173, 188, 175, 187)(189, 191, 190, 192)(193, 195, 199, 198)(194, 200, 197, 202)(196, 207, 212, 209)(201, 217, 210, 219)(203, 221, 205, 223)(204, 224, 211, 225)(206, 222, 208, 226)(213, 231, 215, 233)(214, 234, 220, 235)(216, 232, 218, 236)(227, 240, 229, 238)(228, 239, 230, 237)(241, 249, 244, 248)(242, 250, 243, 247)(245, 254, 246, 253)(251, 256, 252, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1371
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1368 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 918>$ (small group id <128, 918>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 49, 113, 177, 241, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 57, 121, 185, 249, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 53, 117, 181, 245, 47, 111, 175, 239)(28, 92, 156, 220, 51, 115, 179, 243, 30, 94, 158, 222, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 45, 109, 173, 237, 55, 119, 183, 247)(38, 102, 166, 230, 59, 123, 187, 251, 40, 104, 168, 232, 60, 124, 188, 252)(48, 112, 176, 240, 61, 125, 189, 253, 50, 114, 178, 242, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255, 58, 122, 186, 250, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 86)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 78)(23, 72)(24, 75)(25, 109)(26, 112)(27, 114)(28, 110)(29, 113)(30, 111)(31, 115)(32, 116)(33, 107)(34, 108)(35, 117)(36, 120)(37, 122)(38, 118)(39, 121)(40, 119)(41, 123)(42, 124)(43, 97)(44, 98)(45, 89)(46, 92)(47, 94)(48, 90)(49, 93)(50, 91)(51, 95)(52, 96)(53, 99)(54, 102)(55, 104)(56, 100)(57, 103)(58, 101)(59, 105)(60, 106)(61, 128)(62, 127)(63, 126)(64, 125)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 221)(143, 219)(144, 197)(145, 227)(146, 230)(147, 232)(148, 228)(149, 199)(150, 231)(151, 229)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 206)(158, 203)(159, 235)(160, 236)(161, 233)(162, 234)(163, 209)(164, 212)(165, 215)(166, 210)(167, 214)(168, 211)(169, 225)(170, 226)(171, 223)(172, 224)(173, 249)(174, 250)(175, 248)(176, 247)(177, 245)(178, 246)(179, 253)(180, 254)(181, 241)(182, 242)(183, 240)(184, 239)(185, 237)(186, 238)(187, 255)(188, 256)(189, 243)(190, 244)(191, 251)(192, 252)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1364
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1369 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 925>$ (small group id <128, 925>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-2 * Y1)^2, (Y3^-1 * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 65, 129, 193, 4, 68, 132, 196, 14, 78, 142, 206, 5, 69, 133, 197)(2, 66, 130, 194, 7, 71, 135, 199, 22, 86, 150, 214, 8, 72, 136, 200)(3, 67, 131, 195, 10, 74, 138, 202, 29, 93, 157, 221, 11, 75, 139, 203)(6, 70, 134, 198, 18, 82, 146, 210, 39, 103, 167, 231, 19, 83, 147, 211)(9, 73, 137, 201, 26, 90, 154, 218, 49, 113, 177, 241, 27, 91, 155, 219)(12, 76, 140, 204, 31, 95, 159, 223, 15, 79, 143, 207, 32, 96, 160, 224)(13, 77, 141, 205, 33, 97, 161, 225, 16, 80, 144, 208, 34, 98, 162, 226)(17, 81, 145, 209, 36, 100, 164, 228, 57, 121, 185, 249, 37, 101, 165, 229)(20, 84, 148, 212, 41, 105, 169, 233, 23, 87, 151, 215, 42, 106, 170, 234)(21, 85, 149, 213, 43, 107, 171, 235, 24, 88, 152, 216, 44, 108, 172, 236)(25, 89, 153, 217, 46, 110, 174, 238, 53, 117, 181, 245, 47, 111, 175, 239)(28, 92, 156, 220, 51, 115, 179, 243, 30, 94, 158, 222, 52, 116, 180, 244)(35, 99, 163, 227, 54, 118, 182, 246, 45, 109, 173, 237, 55, 119, 183, 247)(38, 102, 166, 230, 59, 123, 187, 251, 40, 104, 168, 232, 60, 124, 188, 252)(48, 112, 176, 240, 61, 125, 189, 253, 50, 114, 178, 242, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255, 58, 122, 186, 250, 64, 128, 192, 256)
	L = (1, 66)(2, 65)(3, 73)(4, 76)(5, 79)(6, 81)(7, 84)(8, 87)(9, 67)(10, 85)(11, 88)(12, 68)(13, 82)(14, 86)(15, 69)(16, 83)(17, 70)(18, 77)(19, 80)(20, 71)(21, 74)(22, 78)(23, 72)(24, 75)(25, 109)(26, 112)(27, 114)(28, 110)(29, 113)(30, 111)(31, 116)(32, 115)(33, 108)(34, 107)(35, 117)(36, 120)(37, 122)(38, 118)(39, 121)(40, 119)(41, 124)(42, 123)(43, 98)(44, 97)(45, 89)(46, 92)(47, 94)(48, 90)(49, 93)(50, 91)(51, 96)(52, 95)(53, 99)(54, 102)(55, 104)(56, 100)(57, 103)(58, 101)(59, 106)(60, 105)(61, 127)(62, 128)(63, 125)(64, 126)(129, 195)(130, 198)(131, 193)(132, 205)(133, 208)(134, 194)(135, 213)(136, 216)(137, 217)(138, 220)(139, 222)(140, 218)(141, 196)(142, 221)(143, 219)(144, 197)(145, 227)(146, 230)(147, 232)(148, 228)(149, 199)(150, 231)(151, 229)(152, 200)(153, 201)(154, 204)(155, 207)(156, 202)(157, 206)(158, 203)(159, 236)(160, 235)(161, 234)(162, 233)(163, 209)(164, 212)(165, 215)(166, 210)(167, 214)(168, 211)(169, 226)(170, 225)(171, 224)(172, 223)(173, 249)(174, 250)(175, 248)(176, 247)(177, 245)(178, 246)(179, 254)(180, 253)(181, 241)(182, 242)(183, 240)(184, 239)(185, 237)(186, 238)(187, 256)(188, 255)(189, 244)(190, 243)(191, 252)(192, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1365
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1370 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 919>$ (small group id <128, 919>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^4, Y2^4, Y2 * Y1^2 * Y2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3 * Y2^2 * Y3 * Y1, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y2^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 19, 83, 147, 211)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 22, 86, 150, 214)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 30, 94, 158, 222)(13, 77, 141, 205, 34, 98, 162, 226)(14, 78, 142, 206, 35, 99, 163, 227)(15, 79, 143, 207, 36, 100, 164, 228)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 38, 102, 166, 230)(21, 85, 149, 213, 40, 104, 168, 232)(23, 87, 151, 215, 44, 108, 172, 236)(24, 88, 152, 216, 45, 109, 173, 237)(25, 89, 153, 217, 46, 110, 174, 238)(26, 90, 154, 218, 47, 111, 175, 239)(27, 91, 155, 219, 48, 112, 176, 240)(29, 93, 157, 221, 49, 113, 177, 241)(31, 95, 159, 223, 52, 116, 180, 244)(32, 96, 160, 224, 53, 117, 181, 245)(33, 97, 161, 225, 54, 118, 182, 246)(39, 103, 167, 231, 55, 119, 183, 247)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(43, 107, 171, 235, 60, 124, 188, 252)(50, 114, 178, 242, 61, 125, 189, 253)(51, 115, 179, 243, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255)(57, 121, 185, 249, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 85)(9, 88)(10, 87)(11, 70)(12, 89)(13, 67)(14, 84)(15, 86)(16, 68)(17, 92)(18, 90)(19, 91)(20, 80)(21, 74)(22, 81)(23, 72)(24, 82)(25, 83)(26, 73)(27, 76)(28, 79)(29, 105)(30, 114)(31, 103)(32, 113)(33, 116)(34, 115)(35, 117)(36, 110)(37, 118)(38, 112)(39, 93)(40, 120)(41, 95)(42, 119)(43, 122)(44, 121)(45, 123)(46, 102)(47, 124)(48, 100)(49, 97)(50, 98)(51, 94)(52, 96)(53, 101)(54, 99)(55, 107)(56, 108)(57, 104)(58, 106)(59, 111)(60, 109)(61, 128)(62, 127)(63, 125)(64, 126)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 217)(138, 194)(139, 221)(140, 224)(141, 223)(142, 222)(143, 212)(144, 226)(145, 196)(146, 219)(147, 225)(148, 209)(149, 231)(150, 234)(151, 233)(152, 232)(153, 210)(154, 236)(155, 201)(156, 235)(157, 205)(158, 208)(159, 203)(160, 211)(161, 204)(162, 206)(163, 238)(164, 237)(165, 240)(166, 239)(167, 215)(168, 218)(169, 213)(170, 220)(171, 214)(172, 216)(173, 230)(174, 229)(175, 228)(176, 227)(177, 249)(178, 250)(179, 247)(180, 248)(181, 253)(182, 254)(183, 242)(184, 241)(185, 244)(186, 243)(187, 255)(188, 256)(189, 246)(190, 245)(191, 252)(192, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1366
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1371 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 4, 4})
Quotient :: loop^2
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 926>$ (small group id <128, 926>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y1^-1 * Y2^2 * Y1^-1, Y1^-2 * Y2^2, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y1^-2 * Y2^-2, (Y2 * Y3 * Y1)^2, (Y3 * Y1^-1 * Y2)^2, Y1^-1 * Y3 * Y2^2 * Y3 * Y1^-1, (Y2^-1 * Y3 * Y1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 129, 193, 4, 68, 132, 196)(2, 66, 130, 194, 9, 73, 137, 201)(3, 67, 131, 195, 12, 76, 140, 204)(5, 69, 133, 197, 18, 82, 146, 210)(6, 70, 134, 198, 19, 83, 147, 211)(7, 71, 135, 199, 20, 84, 148, 212)(8, 72, 136, 200, 22, 86, 150, 214)(10, 74, 138, 202, 28, 92, 156, 220)(11, 75, 139, 203, 30, 94, 158, 222)(13, 77, 141, 205, 34, 98, 162, 226)(14, 78, 142, 206, 35, 99, 163, 227)(15, 79, 143, 207, 36, 100, 164, 228)(16, 80, 144, 208, 37, 101, 165, 229)(17, 81, 145, 209, 38, 102, 166, 230)(21, 85, 149, 213, 40, 104, 168, 232)(23, 87, 151, 215, 44, 108, 172, 236)(24, 88, 152, 216, 45, 109, 173, 237)(25, 89, 153, 217, 46, 110, 174, 238)(26, 90, 154, 218, 47, 111, 175, 239)(27, 91, 155, 219, 48, 112, 176, 240)(29, 93, 157, 221, 49, 113, 177, 241)(31, 95, 159, 223, 52, 116, 180, 244)(32, 96, 160, 224, 53, 117, 181, 245)(33, 97, 161, 225, 54, 118, 182, 246)(39, 103, 167, 231, 55, 119, 183, 247)(41, 105, 169, 233, 58, 122, 186, 250)(42, 106, 170, 234, 59, 123, 187, 251)(43, 107, 171, 235, 60, 124, 188, 252)(50, 114, 178, 242, 61, 125, 189, 253)(51, 115, 179, 243, 62, 126, 190, 254)(56, 120, 184, 248, 63, 127, 191, 255)(57, 121, 185, 249, 64, 128, 192, 256)
	L = (1, 66)(2, 71)(3, 75)(4, 78)(5, 65)(6, 77)(7, 69)(8, 85)(9, 88)(10, 87)(11, 70)(12, 89)(13, 67)(14, 84)(15, 86)(16, 68)(17, 92)(18, 90)(19, 91)(20, 80)(21, 74)(22, 81)(23, 72)(24, 82)(25, 83)(26, 73)(27, 76)(28, 79)(29, 105)(30, 114)(31, 103)(32, 113)(33, 116)(34, 115)(35, 118)(36, 112)(37, 117)(38, 110)(39, 93)(40, 120)(41, 95)(42, 119)(43, 122)(44, 121)(45, 124)(46, 100)(47, 123)(48, 102)(49, 97)(50, 98)(51, 94)(52, 96)(53, 99)(54, 101)(55, 107)(56, 108)(57, 104)(58, 106)(59, 109)(60, 111)(61, 127)(62, 128)(63, 126)(64, 125)(129, 195)(130, 200)(131, 199)(132, 207)(133, 202)(134, 193)(135, 198)(136, 197)(137, 217)(138, 194)(139, 221)(140, 224)(141, 223)(142, 222)(143, 212)(144, 226)(145, 196)(146, 219)(147, 225)(148, 209)(149, 231)(150, 234)(151, 233)(152, 232)(153, 210)(154, 236)(155, 201)(156, 235)(157, 205)(158, 208)(159, 203)(160, 211)(161, 204)(162, 206)(163, 240)(164, 239)(165, 238)(166, 237)(167, 215)(168, 218)(169, 213)(170, 220)(171, 214)(172, 216)(173, 228)(174, 227)(175, 230)(176, 229)(177, 249)(178, 250)(179, 247)(180, 248)(181, 254)(182, 253)(183, 242)(184, 241)(185, 244)(186, 243)(187, 256)(188, 255)(189, 245)(190, 246)(191, 251)(192, 252)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1367
Transitivity :: VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1372 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 2144>$ (small group id <128, 2144>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^4, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2)^2, Y2^-1 * Y3 * Y2 * Y3, (R * Y3)^2, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 9, 73)(4, 68, 7, 71)(5, 69, 13, 77)(6, 70, 14, 78)(8, 72, 18, 82)(10, 74, 15, 79)(11, 75, 20, 84)(12, 76, 23, 87)(16, 80, 25, 89)(17, 81, 28, 92)(19, 83, 29, 93)(21, 85, 32, 96)(22, 86, 27, 91)(24, 88, 33, 97)(26, 90, 36, 100)(30, 94, 38, 102)(31, 95, 40, 104)(34, 98, 42, 106)(35, 99, 44, 108)(37, 101, 45, 109)(39, 103, 48, 112)(41, 105, 49, 113)(43, 107, 52, 116)(46, 110, 54, 118)(47, 111, 56, 120)(50, 114, 58, 122)(51, 115, 60, 124)(53, 117, 59, 123)(55, 119, 57, 121)(61, 125, 64, 128)(62, 126, 63, 127)(129, 193, 131, 195, 138, 202, 133, 197)(130, 194, 134, 198, 143, 207, 136, 200)(132, 196, 139, 203, 150, 214, 140, 204)(135, 199, 144, 208, 155, 219, 145, 209)(137, 201, 147, 211, 141, 205, 149, 213)(142, 206, 152, 216, 146, 210, 154, 218)(148, 212, 158, 222, 151, 215, 159, 223)(153, 217, 162, 226, 156, 220, 163, 227)(157, 221, 165, 229, 160, 224, 167, 231)(161, 225, 169, 233, 164, 228, 171, 235)(166, 230, 174, 238, 168, 232, 175, 239)(170, 234, 178, 242, 172, 236, 179, 243)(173, 237, 181, 245, 176, 240, 183, 247)(177, 241, 185, 249, 180, 244, 187, 251)(182, 246, 189, 253, 184, 248, 190, 254)(186, 250, 191, 255, 188, 252, 192, 256)
	L = (1, 132)(2, 135)(3, 139)(4, 129)(5, 140)(6, 144)(7, 130)(8, 145)(9, 148)(10, 150)(11, 131)(12, 133)(13, 151)(14, 153)(15, 155)(16, 134)(17, 136)(18, 156)(19, 158)(20, 137)(21, 159)(22, 138)(23, 141)(24, 162)(25, 142)(26, 163)(27, 143)(28, 146)(29, 166)(30, 147)(31, 149)(32, 168)(33, 170)(34, 152)(35, 154)(36, 172)(37, 174)(38, 157)(39, 175)(40, 160)(41, 178)(42, 161)(43, 179)(44, 164)(45, 182)(46, 165)(47, 167)(48, 184)(49, 186)(50, 169)(51, 171)(52, 188)(53, 189)(54, 173)(55, 190)(56, 176)(57, 191)(58, 177)(59, 192)(60, 180)(61, 181)(62, 183)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1373 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = C2 x QD32 (small group id <64, 187>)
Aut   = $<128, 2148>$ (small group id <128, 2148>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-2 * Y2^-2, Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2^4, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, R * Y2 * R * Y2^-1, (Y2^-1 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 15, 79)(6, 70, 8, 72)(7, 71, 16, 80)(9, 73, 20, 84)(12, 76, 17, 81)(13, 77, 24, 88)(14, 78, 22, 86)(18, 82, 28, 92)(19, 83, 26, 90)(21, 85, 29, 93)(23, 87, 32, 96)(25, 89, 33, 97)(27, 91, 36, 100)(30, 94, 40, 104)(31, 95, 38, 102)(34, 98, 44, 108)(35, 99, 42, 106)(37, 101, 45, 109)(39, 103, 48, 112)(41, 105, 49, 113)(43, 107, 52, 116)(46, 110, 56, 120)(47, 111, 54, 118)(50, 114, 60, 124)(51, 115, 58, 122)(53, 117, 59, 123)(55, 119, 57, 121)(61, 125, 63, 127)(62, 126, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 145, 209, 137, 201)(132, 196, 142, 206, 134, 198, 141, 205)(136, 200, 147, 211, 138, 202, 146, 210)(139, 203, 149, 213, 143, 207, 151, 215)(144, 208, 153, 217, 148, 212, 155, 219)(150, 214, 159, 223, 152, 216, 158, 222)(154, 218, 163, 227, 156, 220, 162, 226)(157, 221, 165, 229, 160, 224, 167, 231)(161, 225, 169, 233, 164, 228, 171, 235)(166, 230, 175, 239, 168, 232, 174, 238)(170, 234, 179, 243, 172, 236, 178, 242)(173, 237, 181, 245, 176, 240, 183, 247)(177, 241, 185, 249, 180, 244, 187, 251)(182, 246, 190, 254, 184, 248, 189, 253)(186, 250, 192, 256, 188, 252, 191, 255)
	L = (1, 132)(2, 136)(3, 141)(4, 140)(5, 142)(6, 129)(7, 146)(8, 145)(9, 147)(10, 130)(11, 150)(12, 134)(13, 133)(14, 131)(15, 152)(16, 154)(17, 138)(18, 137)(19, 135)(20, 156)(21, 158)(22, 143)(23, 159)(24, 139)(25, 162)(26, 148)(27, 163)(28, 144)(29, 166)(30, 151)(31, 149)(32, 168)(33, 170)(34, 155)(35, 153)(36, 172)(37, 174)(38, 160)(39, 175)(40, 157)(41, 178)(42, 164)(43, 179)(44, 161)(45, 182)(46, 167)(47, 165)(48, 184)(49, 186)(50, 171)(51, 169)(52, 188)(53, 189)(54, 176)(55, 190)(56, 173)(57, 191)(58, 180)(59, 192)(60, 177)(61, 183)(62, 181)(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) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1374 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 189>)
Aut   = $<128, 2143>$ (small group id <128, 2143>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3 * Y2 * Y3 * Y2^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2^4, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3 * Y1 * Y3^-1 * Y2^-1 * Y3^4 * Y1 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 30, 94)(14, 78, 25, 89)(15, 79, 28, 92)(16, 80, 23, 87)(18, 82, 35, 99)(19, 83, 24, 88)(22, 86, 39, 103)(27, 91, 44, 108)(29, 93, 47, 111)(31, 95, 41, 105)(32, 96, 40, 104)(33, 97, 49, 113)(34, 98, 46, 110)(36, 100, 52, 116)(37, 101, 43, 107)(38, 102, 55, 119)(42, 106, 57, 121)(45, 109, 60, 124)(48, 112, 63, 127)(50, 114, 58, 122)(51, 115, 62, 126)(53, 117, 61, 125)(54, 118, 59, 123)(56, 120, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 151, 215, 168, 232, 153, 217)(138, 202, 150, 214, 169, 233, 155, 219)(139, 203, 152, 216, 145, 209, 157, 221)(143, 207, 154, 218, 166, 230, 148, 212)(147, 211, 161, 225, 175, 239, 164, 228)(156, 220, 170, 234, 183, 247, 173, 237)(158, 222, 171, 235, 163, 227, 176, 240)(162, 226, 172, 236, 184, 248, 167, 231)(165, 229, 178, 242, 191, 255, 181, 245)(174, 238, 186, 250, 192, 256, 189, 253)(177, 241, 187, 251, 180, 244, 190, 254)(179, 243, 188, 252, 182, 246, 185, 249)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 153)(12, 159)(13, 161)(14, 131)(15, 162)(16, 133)(17, 151)(18, 164)(19, 134)(20, 144)(21, 168)(22, 170)(23, 135)(24, 171)(25, 137)(26, 142)(27, 173)(28, 138)(29, 176)(30, 139)(31, 166)(32, 140)(33, 178)(34, 179)(35, 145)(36, 181)(37, 147)(38, 184)(39, 148)(40, 157)(41, 149)(42, 186)(43, 187)(44, 154)(45, 189)(46, 156)(47, 160)(48, 190)(49, 158)(50, 185)(51, 191)(52, 163)(53, 188)(54, 165)(55, 169)(56, 182)(57, 167)(58, 177)(59, 192)(60, 172)(61, 180)(62, 174)(63, 175)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1375 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 4, 4})
Quotient :: dipole
Aut^+ = (C16 x C2) : C2 (small group id <64, 189>)
Aut   = $<128, 2147>$ (small group id <128, 2147>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^4, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y1 * Y3^2 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1)^2, Y3^-3 * Y2 * Y3^5 * Y2 ]
Map:: non-degenerate
	R = (1, 65, 2, 66)(3, 67, 11, 75)(4, 68, 10, 74)(5, 69, 17, 81)(6, 70, 8, 72)(7, 71, 20, 84)(9, 73, 26, 90)(12, 76, 21, 85)(13, 77, 30, 94)(14, 78, 23, 87)(15, 79, 28, 92)(16, 80, 25, 89)(18, 82, 35, 99)(19, 83, 24, 88)(22, 86, 39, 103)(27, 91, 44, 108)(29, 93, 47, 111)(31, 95, 41, 105)(32, 96, 40, 104)(33, 97, 49, 113)(34, 98, 46, 110)(36, 100, 52, 116)(37, 101, 43, 107)(38, 102, 55, 119)(42, 106, 57, 121)(45, 109, 60, 124)(48, 112, 63, 127)(50, 114, 61, 125)(51, 115, 62, 126)(53, 117, 58, 122)(54, 118, 59, 123)(56, 120, 64, 128)(129, 193, 131, 195, 140, 204, 133, 197)(130, 194, 135, 199, 149, 213, 137, 201)(132, 196, 142, 206, 159, 223, 144, 208)(134, 198, 141, 205, 160, 224, 146, 210)(136, 200, 151, 215, 168, 232, 153, 217)(138, 202, 150, 214, 169, 233, 155, 219)(139, 203, 157, 221, 145, 209, 152, 216)(143, 207, 148, 212, 166, 230, 154, 218)(147, 211, 161, 225, 175, 239, 164, 228)(156, 220, 170, 234, 183, 247, 173, 237)(158, 222, 176, 240, 163, 227, 171, 235)(162, 226, 167, 231, 184, 248, 172, 236)(165, 229, 178, 242, 191, 255, 181, 245)(174, 238, 186, 250, 192, 256, 189, 253)(177, 241, 190, 254, 180, 244, 187, 251)(179, 243, 185, 249, 182, 246, 188, 252)
	L = (1, 132)(2, 136)(3, 141)(4, 143)(5, 146)(6, 129)(7, 150)(8, 152)(9, 155)(10, 130)(11, 151)(12, 159)(13, 161)(14, 131)(15, 162)(16, 133)(17, 153)(18, 164)(19, 134)(20, 142)(21, 168)(22, 170)(23, 135)(24, 171)(25, 137)(26, 144)(27, 173)(28, 138)(29, 176)(30, 139)(31, 166)(32, 140)(33, 178)(34, 179)(35, 145)(36, 181)(37, 147)(38, 184)(39, 148)(40, 157)(41, 149)(42, 186)(43, 187)(44, 154)(45, 189)(46, 156)(47, 160)(48, 190)(49, 158)(50, 188)(51, 191)(52, 163)(53, 185)(54, 165)(55, 169)(56, 182)(57, 167)(58, 180)(59, 192)(60, 172)(61, 177)(62, 174)(63, 175)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4, 8, 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 48 e = 128 f = 48
	degree seq :: [ 4^32, 8^16 ]

E17.1376 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-2 * T1)^2, (T1^-1 * T2^-2)^2, (T1, T2)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^8, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 50, 34, 16, 5)(2, 7, 20, 39, 60, 44, 24, 8)(4, 12, 31, 51, 63, 48, 27, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 15, 33, 53, 56, 47, 26)(11, 29, 14, 32, 52, 57, 49, 30)(19, 37, 23, 43, 62, 46, 58, 38)(21, 40, 22, 42, 61, 45, 59, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 88)(80, 95, 100, 84)(89, 109, 93, 110)(90, 102, 94, 105)(92, 113, 118, 111)(96, 106, 97, 107)(98, 117, 119, 116)(101, 120, 104, 121)(103, 123, 115, 122)(108, 126, 112, 125)(114, 124, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1377
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1377 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-2 * T1)^2, (T1^-1 * T2^-2)^2, (T1, T2)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^8, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 50, 114, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 60, 124, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 31, 95, 51, 115, 63, 127, 48, 112, 27, 91, 13, 77)(6, 70, 17, 81, 35, 99, 54, 118, 64, 128, 55, 119, 36, 100, 18, 82)(9, 73, 25, 89, 15, 79, 33, 97, 53, 117, 56, 120, 47, 111, 26, 90)(11, 75, 29, 93, 14, 78, 32, 96, 52, 116, 57, 121, 49, 113, 30, 94)(19, 83, 37, 101, 23, 87, 43, 107, 62, 126, 46, 110, 58, 122, 38, 102)(21, 85, 40, 104, 22, 86, 42, 106, 61, 125, 45, 109, 59, 123, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 80)(21, 71)(22, 77)(23, 72)(24, 74)(25, 109)(26, 102)(27, 99)(28, 113)(29, 110)(30, 105)(31, 100)(32, 106)(33, 107)(34, 117)(35, 88)(36, 84)(37, 120)(38, 94)(39, 123)(40, 121)(41, 90)(42, 97)(43, 96)(44, 126)(45, 93)(46, 89)(47, 92)(48, 125)(49, 118)(50, 124)(51, 122)(52, 98)(53, 119)(54, 111)(55, 116)(56, 104)(57, 101)(58, 103)(59, 115)(60, 128)(61, 108)(62, 112)(63, 114)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1376
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y1 * Y2^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^8, Y3 * Y2^-2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 24, 88)(16, 80, 31, 95, 36, 100, 20, 84)(25, 89, 45, 109, 29, 93, 46, 110)(26, 90, 38, 102, 30, 94, 41, 105)(28, 92, 49, 113, 54, 118, 47, 111)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 53, 117, 55, 119, 52, 116)(37, 101, 56, 120, 40, 104, 57, 121)(39, 103, 59, 123, 51, 115, 58, 122)(44, 108, 62, 126, 48, 112, 61, 125)(50, 114, 60, 124, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 178, 242, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 188, 252, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 179, 243, 191, 255, 176, 240, 155, 219, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 143, 207, 161, 225, 181, 245, 184, 248, 175, 239, 154, 218)(139, 203, 157, 221, 142, 206, 160, 224, 180, 244, 185, 249, 177, 241, 158, 222)(147, 211, 165, 229, 151, 215, 171, 235, 190, 254, 174, 238, 186, 250, 166, 230)(149, 213, 168, 232, 150, 214, 170, 234, 189, 253, 173, 237, 187, 251, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 148)(17, 137)(18, 142)(19, 135)(20, 164)(21, 140)(22, 136)(23, 141)(24, 163)(25, 174)(26, 169)(27, 138)(28, 175)(29, 173)(30, 166)(31, 144)(32, 171)(33, 170)(34, 180)(35, 155)(36, 159)(37, 185)(38, 154)(39, 186)(40, 184)(41, 158)(42, 160)(43, 161)(44, 189)(45, 153)(46, 157)(47, 182)(48, 190)(49, 156)(50, 191)(51, 187)(52, 183)(53, 162)(54, 177)(55, 181)(56, 165)(57, 168)(58, 179)(59, 167)(60, 178)(61, 176)(62, 172)(63, 192)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1379
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = ((C8 x C2) : C2) : C2 (small group id <64, 4>)
Aut   = $<128, 327>$ (small group id <128, 327>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, (Y3 * Y1^-2)^2, (Y1, Y3)^2, Y1^8, (Y3 * Y2^-1)^4, Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-3 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 54, 118, 40, 104, 19, 83, 11, 75)(5, 69, 15, 79, 32, 96, 52, 116, 55, 119, 39, 103, 18, 82, 16, 80)(7, 71, 20, 84, 14, 78, 34, 98, 53, 117, 58, 122, 37, 101, 22, 86)(8, 72, 23, 87, 12, 76, 31, 95, 51, 115, 57, 121, 36, 100, 24, 88)(10, 74, 21, 85, 38, 102, 56, 120, 64, 128, 63, 127, 46, 110, 28, 92)(26, 90, 47, 111, 30, 94, 50, 114, 60, 124, 42, 106, 62, 126, 43, 107)(27, 91, 48, 112, 29, 93, 49, 113, 59, 123, 41, 105, 61, 125, 44, 108)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 160)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 141)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 177)(32, 174)(33, 181)(34, 178)(35, 182)(36, 184)(37, 145)(38, 147)(39, 187)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 189)(46, 153)(47, 186)(48, 185)(49, 162)(50, 159)(51, 161)(52, 190)(53, 191)(54, 192)(55, 163)(56, 165)(57, 175)(58, 176)(59, 168)(60, 167)(61, 180)(62, 173)(63, 179)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1378
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1380 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1^-2 * T2^3, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 45, 30, 11, 29, 46, 26)(14, 31, 51, 34, 15, 33, 52, 32)(19, 35, 53, 40, 21, 39, 54, 36)(22, 41, 59, 44, 23, 43, 60, 42)(27, 47, 61, 50, 28, 49, 62, 48)(37, 55, 63, 58, 38, 57, 64, 56)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 80, 92)(84, 101, 88, 102)(89, 108, 93, 106)(90, 100, 94, 104)(95, 105, 97, 107)(96, 103, 98, 99)(109, 119, 110, 121)(111, 117, 113, 118)(112, 123, 114, 124)(115, 120, 116, 122)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1382
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1381 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1^-1 * T2 * T1^-1)^2, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 48, 34, 16, 5)(2, 7, 20, 39, 56, 44, 24, 8)(4, 12, 27, 46, 60, 49, 31, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 45, 59, 51, 33, 15, 26)(11, 29, 47, 61, 50, 32, 14, 30)(19, 37, 54, 63, 58, 43, 23, 38)(21, 40, 55, 64, 57, 42, 22, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 84)(80, 95, 100, 88)(89, 104, 93, 101)(90, 102, 94, 105)(92, 111, 116, 109)(96, 107, 97, 106)(98, 115, 117, 114)(103, 119, 110, 118)(108, 122, 113, 121)(112, 120, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1383
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1382 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1^-2 * T2^3, T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 30, 94, 11, 75, 29, 93, 46, 110, 26, 90)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(19, 83, 35, 99, 53, 117, 40, 104, 21, 85, 39, 103, 54, 118, 36, 100)(22, 86, 41, 105, 59, 123, 44, 108, 23, 87, 43, 107, 60, 124, 42, 106)(27, 91, 47, 111, 61, 125, 50, 114, 28, 92, 49, 113, 62, 126, 48, 112)(37, 101, 55, 119, 63, 127, 58, 122, 38, 102, 57, 121, 64, 128, 56, 120)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 92)(17, 75)(18, 79)(19, 76)(20, 101)(21, 71)(22, 77)(23, 72)(24, 102)(25, 108)(26, 100)(27, 80)(28, 74)(29, 106)(30, 104)(31, 105)(32, 103)(33, 107)(34, 99)(35, 96)(36, 94)(37, 88)(38, 84)(39, 98)(40, 90)(41, 97)(42, 89)(43, 95)(44, 93)(45, 119)(46, 121)(47, 117)(48, 123)(49, 118)(50, 124)(51, 120)(52, 122)(53, 113)(54, 111)(55, 110)(56, 116)(57, 109)(58, 115)(59, 114)(60, 112)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1380
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1383 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2 * T1^2 * T2^-1 * T1^2, T2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1^-1 * T2 * T1^-1)^2, T2^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 48, 112, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 27, 91, 46, 110, 60, 124, 49, 113, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 52, 116, 62, 126, 53, 117, 36, 100, 18, 82)(9, 73, 25, 89, 45, 109, 59, 123, 51, 115, 33, 97, 15, 79, 26, 90)(11, 75, 29, 93, 47, 111, 61, 125, 50, 114, 32, 96, 14, 78, 30, 94)(19, 83, 37, 101, 54, 118, 63, 127, 58, 122, 43, 107, 23, 87, 38, 102)(21, 85, 40, 104, 55, 119, 64, 128, 57, 121, 42, 106, 22, 86, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 104)(26, 102)(27, 99)(28, 111)(29, 101)(30, 105)(31, 100)(32, 107)(33, 106)(34, 115)(35, 84)(36, 88)(37, 89)(38, 94)(39, 119)(40, 93)(41, 90)(42, 96)(43, 97)(44, 122)(45, 92)(46, 118)(47, 116)(48, 120)(49, 121)(50, 98)(51, 117)(52, 109)(53, 114)(54, 103)(55, 110)(56, 126)(57, 108)(58, 113)(59, 127)(60, 112)(61, 128)(62, 124)(63, 125)(64, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1381
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1384 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1^2 * Y2 * Y1^-1, Y2^2 * Y1^2 * Y2^2, R * Y1^-2 * Y2^-1 * Y1^-1 * R * Y2^-1 * Y3^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y1^2 * Y2 * Y1 * Y2 * Y3^2 * Y2^-1 * Y3 * Y2^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 16, 80, 28, 92)(20, 84, 37, 101, 24, 88, 38, 102)(25, 89, 44, 108, 29, 93, 42, 106)(26, 90, 36, 100, 30, 94, 40, 104)(31, 95, 41, 105, 33, 97, 43, 107)(32, 96, 39, 103, 34, 98, 35, 99)(45, 109, 55, 119, 46, 110, 57, 121)(47, 111, 53, 117, 49, 113, 54, 118)(48, 112, 59, 123, 50, 114, 60, 124)(51, 115, 56, 120, 52, 116, 58, 122)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 158, 222, 139, 203, 157, 221, 174, 238, 154, 218)(142, 206, 159, 223, 179, 243, 162, 226, 143, 207, 161, 225, 180, 244, 160, 224)(147, 211, 163, 227, 181, 245, 168, 232, 149, 213, 167, 231, 182, 246, 164, 228)(150, 214, 169, 233, 187, 251, 172, 236, 151, 215, 171, 235, 188, 252, 170, 234)(155, 219, 175, 239, 189, 253, 178, 242, 156, 220, 177, 241, 190, 254, 176, 240)(165, 229, 183, 247, 191, 255, 186, 250, 166, 230, 185, 249, 192, 256, 184, 248)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 155)(17, 137)(18, 142)(19, 135)(20, 166)(21, 140)(22, 136)(23, 141)(24, 165)(25, 170)(26, 168)(27, 138)(28, 144)(29, 172)(30, 164)(31, 171)(32, 163)(33, 169)(34, 167)(35, 162)(36, 154)(37, 148)(38, 152)(39, 160)(40, 158)(41, 159)(42, 157)(43, 161)(44, 153)(45, 185)(46, 183)(47, 182)(48, 188)(49, 181)(50, 187)(51, 186)(52, 184)(53, 175)(54, 177)(55, 173)(56, 179)(57, 174)(58, 180)(59, 176)(60, 178)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1386
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1385 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (Y3 * Y1^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y1 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2^8, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 20, 84)(16, 80, 31, 95, 36, 100, 24, 88)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 38, 102, 30, 94, 41, 105)(28, 92, 47, 111, 52, 116, 45, 109)(32, 96, 43, 107, 33, 97, 42, 106)(34, 98, 51, 115, 53, 117, 50, 114)(39, 103, 55, 119, 46, 110, 54, 118)(44, 108, 58, 122, 49, 113, 57, 121)(48, 112, 56, 120, 62, 126, 60, 124)(59, 123, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 155, 219, 174, 238, 188, 252, 177, 241, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 187, 251, 179, 243, 161, 225, 143, 207, 154, 218)(139, 203, 157, 221, 175, 239, 189, 253, 178, 242, 160, 224, 142, 206, 158, 222)(147, 211, 165, 229, 182, 246, 191, 255, 186, 250, 171, 235, 151, 215, 166, 230)(149, 213, 168, 232, 183, 247, 192, 256, 185, 249, 170, 234, 150, 214, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 163)(21, 140)(22, 136)(23, 141)(24, 164)(25, 165)(26, 169)(27, 138)(28, 173)(29, 168)(30, 166)(31, 144)(32, 170)(33, 171)(34, 178)(35, 155)(36, 159)(37, 157)(38, 154)(39, 182)(40, 153)(41, 158)(42, 161)(43, 160)(44, 185)(45, 180)(46, 183)(47, 156)(48, 188)(49, 186)(50, 181)(51, 162)(52, 175)(53, 179)(54, 174)(55, 167)(56, 176)(57, 177)(58, 172)(59, 192)(60, 190)(61, 191)(62, 184)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E17.1387
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1386 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, Y1^-1 * Y3^-2 * Y1 * Y3^-2, Y1^-4 * Y3^2, (R * Y2 * Y3^-1)^2, (Y3^-1, Y1^-1, Y3^-1), (Y3 * Y2^-1)^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 16, 80, 5, 69, 15, 79, 29, 93, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 43, 107, 22, 86)(12, 76, 31, 95, 51, 115, 34, 98, 14, 78, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 57, 121, 36, 100)(26, 90, 47, 111, 54, 118, 44, 108, 27, 91, 48, 112, 55, 119, 42, 106)(28, 92, 49, 113, 56, 120, 40, 104, 30, 94, 50, 114, 58, 122, 41, 105)(45, 109, 59, 123, 63, 127, 62, 126, 46, 110, 60, 124, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 156)(12, 145)(13, 147)(14, 132)(15, 155)(16, 158)(17, 142)(18, 141)(19, 134)(20, 168)(21, 136)(22, 170)(23, 169)(24, 172)(25, 173)(26, 143)(27, 137)(28, 144)(29, 174)(30, 139)(31, 177)(32, 176)(33, 178)(34, 175)(35, 182)(36, 184)(37, 183)(38, 186)(39, 187)(40, 151)(41, 148)(42, 152)(43, 188)(44, 150)(45, 157)(46, 153)(47, 160)(48, 162)(49, 161)(50, 159)(51, 189)(52, 190)(53, 191)(54, 165)(55, 163)(56, 166)(57, 192)(58, 164)(59, 171)(60, 167)(61, 180)(62, 179)(63, 185)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1384
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1387 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C4 x C2) : C8 (small group id <64, 5>)
Aut   = $<128, 330>$ (small group id <128, 330>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^8, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 40, 104, 52, 116, 47, 111, 29, 93, 11, 75)(5, 69, 15, 79, 18, 82, 38, 102, 53, 117, 50, 114, 32, 96, 16, 80)(7, 71, 20, 84, 37, 101, 56, 120, 51, 115, 34, 98, 14, 78, 22, 86)(8, 72, 23, 87, 36, 100, 54, 118, 49, 113, 31, 95, 12, 76, 24, 88)(10, 74, 21, 85, 39, 103, 55, 119, 62, 126, 59, 123, 45, 109, 27, 91)(25, 89, 42, 106, 57, 121, 64, 128, 61, 125, 48, 112, 30, 94, 43, 107)(26, 90, 41, 105, 58, 122, 63, 127, 60, 124, 46, 110, 28, 92, 44, 108)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 160)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 141)(30, 139)(31, 176)(32, 173)(33, 179)(34, 174)(35, 180)(36, 183)(37, 145)(38, 185)(39, 147)(40, 186)(41, 151)(42, 148)(43, 152)(44, 150)(45, 157)(46, 159)(47, 189)(48, 162)(49, 161)(50, 188)(51, 187)(52, 190)(53, 163)(54, 191)(55, 165)(56, 192)(57, 168)(58, 166)(59, 177)(60, 175)(61, 178)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1385
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1388 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-1 * T1^-1 * T2^-1)^2, (T2^-2 * T1)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^8, T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 48, 34, 16, 5)(2, 7, 20, 39, 56, 44, 24, 8)(4, 12, 31, 49, 60, 46, 27, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 15, 33, 51, 59, 45, 26)(11, 29, 14, 32, 50, 61, 47, 30)(19, 37, 23, 43, 58, 63, 54, 38)(21, 40, 22, 42, 57, 64, 55, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 88)(80, 95, 100, 84)(89, 101, 93, 104)(90, 106, 94, 107)(92, 111, 116, 109)(96, 102, 97, 105)(98, 115, 117, 114)(103, 119, 113, 118)(108, 122, 110, 121)(112, 120, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1392
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1389 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^4 * T1^-2, (T2^2 * T1^-1)^2, (T2^-1 * T1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 15, 28, 11, 27, 14, 26)(19, 29, 23, 32, 21, 31, 22, 30)(33, 41, 36, 44, 34, 43, 35, 42)(37, 45, 40, 48, 38, 47, 39, 46)(49, 57, 52, 60, 50, 59, 51, 58)(53, 61, 56, 64, 54, 63, 55, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 80, 88)(89, 97, 91, 98)(90, 99, 92, 100)(93, 101, 95, 102)(94, 103, 96, 104)(105, 113, 107, 114)(106, 115, 108, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 125, 123, 127)(122, 126, 124, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1391
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1390 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2^-1)^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T2^8, (T2^-1 * T1^-1)^4, (T2^-1 * T1^-3)^2, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 19, 42, 30, 15, 5)(2, 7, 20, 37, 33, 14, 22, 8)(4, 11, 25, 9, 24, 41, 31, 13)(6, 17, 38, 32, 44, 21, 40, 18)(12, 27, 48, 26, 47, 23, 46, 29)(16, 35, 54, 43, 58, 39, 56, 36)(28, 51, 61, 50, 60, 49, 59, 45)(34, 52, 62, 57, 64, 55, 63, 53)(65, 66, 70, 80, 98, 92, 76, 68)(67, 73, 87, 109, 116, 107, 85, 72)(69, 75, 90, 113, 117, 99, 96, 78)(71, 83, 105, 93, 115, 121, 103, 82)(74, 84, 102, 118, 126, 125, 112, 89)(77, 91, 114, 119, 100, 81, 101, 94)(79, 86, 104, 120, 127, 123, 110, 95)(88, 106, 97, 108, 122, 128, 124, 111)
	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 ) }
Outer automorphisms :: reflexible
Dual of E17.1393
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1391 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1^-2 * T2^-1 * T1^-2, (T2^-1 * T1^-1 * T2^-1)^2, (T2^-2 * T1)^2, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^8, T1^-1 * T2^-3 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 48, 112, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 31, 95, 49, 113, 60, 124, 46, 110, 27, 91, 13, 77)(6, 70, 17, 81, 35, 99, 52, 116, 62, 126, 53, 117, 36, 100, 18, 82)(9, 73, 25, 89, 15, 79, 33, 97, 51, 115, 59, 123, 45, 109, 26, 90)(11, 75, 29, 93, 14, 78, 32, 96, 50, 114, 61, 125, 47, 111, 30, 94)(19, 83, 37, 101, 23, 87, 43, 107, 58, 122, 63, 127, 54, 118, 38, 102)(21, 85, 40, 104, 22, 86, 42, 106, 57, 121, 64, 128, 55, 119, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 80)(21, 71)(22, 77)(23, 72)(24, 74)(25, 101)(26, 106)(27, 99)(28, 111)(29, 104)(30, 107)(31, 100)(32, 102)(33, 105)(34, 115)(35, 88)(36, 84)(37, 93)(38, 97)(39, 119)(40, 89)(41, 96)(42, 94)(43, 90)(44, 122)(45, 92)(46, 121)(47, 116)(48, 120)(49, 118)(50, 98)(51, 117)(52, 109)(53, 114)(54, 103)(55, 113)(56, 126)(57, 108)(58, 110)(59, 127)(60, 112)(61, 128)(62, 124)(63, 125)(64, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1389
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1392 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^4 * T1^-2, (T2^2 * T1^-1)^2, (T2^-1 * T1)^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 15, 79, 28, 92, 11, 75, 27, 91, 14, 78, 26, 90)(19, 83, 29, 93, 23, 87, 32, 96, 21, 85, 31, 95, 22, 86, 30, 94)(33, 97, 41, 105, 36, 100, 44, 108, 34, 98, 43, 107, 35, 99, 42, 106)(37, 101, 45, 109, 40, 104, 48, 112, 38, 102, 47, 111, 39, 103, 46, 110)(49, 113, 57, 121, 52, 116, 60, 124, 50, 114, 59, 123, 51, 115, 58, 122)(53, 117, 61, 125, 56, 120, 64, 128, 54, 118, 63, 127, 55, 119, 62, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 80)(21, 71)(22, 77)(23, 72)(24, 74)(25, 97)(26, 99)(27, 98)(28, 100)(29, 101)(30, 103)(31, 102)(32, 104)(33, 91)(34, 89)(35, 92)(36, 90)(37, 95)(38, 93)(39, 96)(40, 94)(41, 113)(42, 115)(43, 114)(44, 116)(45, 117)(46, 119)(47, 118)(48, 120)(49, 107)(50, 105)(51, 108)(52, 106)(53, 111)(54, 109)(55, 112)(56, 110)(57, 125)(58, 126)(59, 127)(60, 128)(61, 123)(62, 124)(63, 121)(64, 122)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1388
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1393 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^2 * T1^-1 * T2, (T2 * T1^-2)^2, (T1^-2 * T2^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 28, 92, 14, 78)(6, 70, 18, 82, 38, 102, 19, 83)(9, 73, 26, 90, 15, 79, 27, 91)(11, 75, 29, 93, 16, 80, 30, 94)(13, 77, 32, 96, 46, 110, 25, 89)(17, 81, 36, 100, 54, 118, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 47, 111, 34, 98, 48, 112)(33, 97, 51, 115, 61, 125, 49, 113)(35, 99, 52, 116, 62, 126, 53, 117)(39, 103, 57, 121, 40, 104, 58, 122)(45, 109, 59, 123, 50, 114, 60, 124)(55, 119, 63, 127, 56, 120, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 85)(11, 67)(12, 95)(13, 68)(14, 98)(15, 96)(16, 69)(17, 99)(18, 80)(19, 75)(20, 78)(21, 102)(22, 71)(23, 76)(24, 72)(25, 109)(26, 105)(27, 106)(28, 74)(29, 107)(30, 108)(31, 113)(32, 114)(33, 77)(34, 115)(35, 97)(36, 88)(37, 86)(38, 118)(39, 82)(40, 83)(41, 94)(42, 93)(43, 121)(44, 122)(45, 116)(46, 92)(47, 90)(48, 91)(49, 119)(50, 117)(51, 120)(52, 104)(53, 103)(54, 126)(55, 100)(56, 101)(57, 127)(58, 128)(59, 112)(60, 111)(61, 110)(62, 125)(63, 123)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1390
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1394 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y1^4, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^8, Y2^3 * Y3 * Y2^-1 * Y3 * Y2^3 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 24, 88)(16, 80, 31, 95, 36, 100, 20, 84)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 42, 106, 30, 94, 43, 107)(28, 92, 47, 111, 52, 116, 45, 109)(32, 96, 38, 102, 33, 97, 41, 105)(34, 98, 51, 115, 53, 117, 50, 114)(39, 103, 55, 119, 49, 113, 54, 118)(44, 108, 58, 122, 46, 110, 57, 121)(48, 112, 56, 120, 62, 126, 60, 124)(59, 123, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 177, 241, 188, 252, 174, 238, 155, 219, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 143, 207, 161, 225, 179, 243, 187, 251, 173, 237, 154, 218)(139, 203, 157, 221, 142, 206, 160, 224, 178, 242, 189, 253, 175, 239, 158, 222)(147, 211, 165, 229, 151, 215, 171, 235, 186, 250, 191, 255, 182, 246, 166, 230)(149, 213, 168, 232, 150, 214, 170, 234, 185, 249, 192, 256, 183, 247, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 148)(17, 137)(18, 142)(19, 135)(20, 164)(21, 140)(22, 136)(23, 141)(24, 163)(25, 168)(26, 171)(27, 138)(28, 173)(29, 165)(30, 170)(31, 144)(32, 169)(33, 166)(34, 178)(35, 155)(36, 159)(37, 153)(38, 160)(39, 182)(40, 157)(41, 161)(42, 154)(43, 158)(44, 185)(45, 180)(46, 186)(47, 156)(48, 188)(49, 183)(50, 181)(51, 162)(52, 175)(53, 179)(54, 177)(55, 167)(56, 176)(57, 174)(58, 172)(59, 192)(60, 190)(61, 191)(62, 184)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E17.1399
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1395 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1, Y1^2 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y3 * Y2^4 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 16, 80, 24, 88)(25, 89, 33, 97, 27, 91, 34, 98)(26, 90, 35, 99, 28, 92, 36, 100)(29, 93, 37, 101, 31, 95, 38, 102)(30, 94, 39, 103, 32, 96, 40, 104)(41, 105, 49, 113, 43, 107, 50, 114)(42, 106, 51, 115, 44, 108, 52, 116)(45, 109, 53, 117, 47, 111, 54, 118)(46, 110, 55, 119, 48, 112, 56, 120)(57, 121, 61, 125, 59, 123, 63, 127)(58, 122, 62, 126, 60, 124, 64, 128)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 143, 207, 156, 220, 139, 203, 155, 219, 142, 206, 154, 218)(147, 211, 157, 221, 151, 215, 160, 224, 149, 213, 159, 223, 150, 214, 158, 222)(161, 225, 169, 233, 164, 228, 172, 236, 162, 226, 171, 235, 163, 227, 170, 234)(165, 229, 173, 237, 168, 232, 176, 240, 166, 230, 175, 239, 167, 231, 174, 238)(177, 241, 185, 249, 180, 244, 188, 252, 178, 242, 187, 251, 179, 243, 186, 250)(181, 245, 189, 253, 184, 248, 192, 256, 182, 246, 191, 255, 183, 247, 190, 254)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 148)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 162)(26, 164)(27, 161)(28, 163)(29, 166)(30, 168)(31, 165)(32, 167)(33, 153)(34, 155)(35, 154)(36, 156)(37, 157)(38, 159)(39, 158)(40, 160)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 169)(50, 171)(51, 170)(52, 172)(53, 173)(54, 175)(55, 174)(56, 176)(57, 191)(58, 192)(59, 189)(60, 190)(61, 185)(62, 186)(63, 187)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1398
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1396 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y1^8, Y2^8, (Y2^-1 * Y1^-3)^2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 16, 80, 34, 98, 28, 92, 12, 76, 4, 68)(3, 67, 9, 73, 23, 87, 45, 109, 52, 116, 43, 107, 21, 85, 8, 72)(5, 69, 11, 75, 26, 90, 49, 113, 53, 117, 35, 99, 32, 96, 14, 78)(7, 71, 19, 83, 41, 105, 29, 93, 51, 115, 57, 121, 39, 103, 18, 82)(10, 74, 20, 84, 38, 102, 54, 118, 62, 126, 61, 125, 48, 112, 25, 89)(13, 77, 27, 91, 50, 114, 55, 119, 36, 100, 17, 81, 37, 101, 30, 94)(15, 79, 22, 86, 40, 104, 56, 120, 63, 127, 59, 123, 46, 110, 31, 95)(24, 88, 42, 106, 33, 97, 44, 108, 58, 122, 64, 128, 60, 124, 47, 111)(129, 193, 131, 195, 138, 202, 147, 211, 170, 234, 158, 222, 143, 207, 133, 197)(130, 194, 135, 199, 148, 212, 165, 229, 161, 225, 142, 206, 150, 214, 136, 200)(132, 196, 139, 203, 153, 217, 137, 201, 152, 216, 169, 233, 159, 223, 141, 205)(134, 198, 145, 209, 166, 230, 160, 224, 172, 236, 149, 213, 168, 232, 146, 210)(140, 204, 155, 219, 176, 240, 154, 218, 175, 239, 151, 215, 174, 238, 157, 221)(144, 208, 163, 227, 182, 246, 171, 235, 186, 250, 167, 231, 184, 248, 164, 228)(156, 220, 179, 243, 189, 253, 178, 242, 188, 252, 177, 241, 187, 251, 173, 237)(162, 226, 180, 244, 190, 254, 185, 249, 192, 256, 183, 247, 191, 255, 181, 245)
	L = (1, 131)(2, 135)(3, 138)(4, 139)(5, 129)(6, 145)(7, 148)(8, 130)(9, 152)(10, 147)(11, 153)(12, 155)(13, 132)(14, 150)(15, 133)(16, 163)(17, 166)(18, 134)(19, 170)(20, 165)(21, 168)(22, 136)(23, 174)(24, 169)(25, 137)(26, 175)(27, 176)(28, 179)(29, 140)(30, 143)(31, 141)(32, 172)(33, 142)(34, 180)(35, 182)(36, 144)(37, 161)(38, 160)(39, 184)(40, 146)(41, 159)(42, 158)(43, 186)(44, 149)(45, 156)(46, 157)(47, 151)(48, 154)(49, 187)(50, 188)(51, 189)(52, 190)(53, 162)(54, 171)(55, 191)(56, 164)(57, 192)(58, 167)(59, 173)(60, 177)(61, 178)(62, 185)(63, 181)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1397
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1397 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^2, (Y3^-1 * Y2^-1 * Y3^-1)^2, Y3^8, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 163, 227, 152, 216)(144, 208, 159, 223, 164, 228, 148, 212)(153, 217, 165, 229, 157, 221, 168, 232)(154, 218, 170, 234, 158, 222, 171, 235)(156, 220, 175, 239, 180, 244, 173, 237)(160, 224, 166, 230, 161, 225, 169, 233)(162, 226, 179, 243, 181, 245, 178, 242)(167, 231, 183, 247, 177, 241, 182, 246)(172, 236, 186, 250, 174, 238, 185, 249)(176, 240, 184, 248, 190, 254, 188, 252)(187, 251, 191, 255, 189, 253, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 159)(13, 132)(14, 160)(15, 161)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 170)(23, 171)(24, 136)(25, 143)(26, 137)(27, 141)(28, 176)(29, 142)(30, 139)(31, 177)(32, 178)(33, 179)(34, 144)(35, 180)(36, 146)(37, 151)(38, 147)(39, 184)(40, 150)(41, 149)(42, 185)(43, 186)(44, 152)(45, 154)(46, 155)(47, 158)(48, 162)(49, 188)(50, 189)(51, 187)(52, 190)(53, 164)(54, 166)(55, 169)(56, 172)(57, 192)(58, 191)(59, 173)(60, 174)(61, 175)(62, 181)(63, 182)(64, 183)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1396
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1398 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3^2 * Y1 * Y3^-2 * Y1^-1, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1, Y1^8, (Y3 * Y2^-1)^4, (Y1 * Y3 * Y1 * Y3^-1)^4 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 52, 116, 40, 104, 19, 83, 11, 75)(5, 69, 15, 79, 32, 96, 50, 114, 53, 117, 39, 103, 18, 82, 16, 80)(7, 71, 20, 84, 14, 78, 34, 98, 51, 115, 56, 120, 37, 101, 22, 86)(8, 72, 23, 87, 12, 76, 31, 95, 49, 113, 55, 119, 36, 100, 24, 88)(10, 74, 21, 85, 38, 102, 54, 118, 62, 126, 61, 125, 46, 110, 28, 92)(26, 90, 41, 105, 30, 94, 44, 108, 58, 122, 64, 128, 60, 124, 47, 111)(27, 91, 42, 106, 29, 93, 43, 107, 57, 121, 63, 127, 59, 123, 48, 112)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 160)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 141)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 175)(32, 174)(33, 179)(34, 176)(35, 180)(36, 182)(37, 145)(38, 147)(39, 185)(40, 186)(41, 151)(42, 148)(43, 152)(44, 150)(45, 187)(46, 153)(47, 162)(48, 159)(49, 161)(50, 188)(51, 189)(52, 190)(53, 163)(54, 165)(55, 191)(56, 192)(57, 168)(58, 167)(59, 178)(60, 173)(61, 177)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1395
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1399 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C4) : C2 (small group id <64, 6>)
Aut   = $<128, 351>$ (small group id <128, 351>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-2 * Y1^-2, (Y1^-1 * Y3 * Y1^-1)^2, Y3^-1 * Y1^2 * Y3 * Y1^-2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 16, 80, 5, 69, 15, 79, 19, 83, 11, 75)(7, 71, 20, 84, 14, 78, 24, 88, 8, 72, 23, 87, 12, 76, 22, 86)(25, 89, 33, 97, 28, 92, 36, 100, 26, 90, 35, 99, 27, 91, 34, 98)(29, 93, 37, 101, 32, 96, 40, 104, 30, 94, 39, 103, 31, 95, 38, 102)(41, 105, 49, 113, 44, 108, 52, 116, 42, 106, 51, 115, 43, 107, 50, 114)(45, 109, 53, 117, 48, 112, 56, 120, 46, 110, 55, 119, 47, 111, 54, 118)(57, 121, 61, 125, 60, 124, 64, 128, 58, 122, 62, 126, 59, 123, 63, 127)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 155)(12, 145)(13, 147)(14, 132)(15, 154)(16, 156)(17, 142)(18, 141)(19, 134)(20, 157)(21, 136)(22, 159)(23, 158)(24, 160)(25, 143)(26, 137)(27, 144)(28, 139)(29, 151)(30, 148)(31, 152)(32, 150)(33, 169)(34, 171)(35, 170)(36, 172)(37, 173)(38, 175)(39, 174)(40, 176)(41, 163)(42, 161)(43, 164)(44, 162)(45, 167)(46, 165)(47, 168)(48, 166)(49, 185)(50, 187)(51, 186)(52, 188)(53, 189)(54, 191)(55, 190)(56, 192)(57, 179)(58, 177)(59, 180)(60, 178)(61, 183)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1394
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1400 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 48, 34, 16, 5)(2, 7, 20, 39, 56, 44, 24, 8)(4, 12, 27, 46, 60, 49, 31, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 45, 59, 51, 33, 15, 26)(11, 29, 47, 61, 50, 32, 14, 30)(19, 37, 54, 63, 58, 43, 23, 38)(21, 40, 55, 64, 57, 42, 22, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 84)(80, 95, 100, 88)(89, 101, 93, 104)(90, 105, 94, 102)(92, 111, 116, 109)(96, 106, 97, 107)(98, 115, 117, 114)(103, 119, 110, 118)(108, 122, 113, 121)(112, 120, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1409
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1401 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^4 * T1, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1 * T2^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 45, 30, 11, 29, 46, 26)(14, 31, 51, 34, 15, 33, 52, 32)(19, 35, 53, 40, 21, 39, 54, 36)(22, 41, 59, 44, 23, 43, 60, 42)(27, 47, 61, 50, 28, 49, 62, 48)(37, 55, 63, 58, 38, 57, 64, 56)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 80, 92)(84, 101, 88, 102)(89, 99, 93, 103)(90, 105, 94, 107)(95, 100, 97, 104)(96, 106, 98, 108)(109, 119, 110, 121)(111, 117, 113, 118)(112, 123, 114, 124)(115, 120, 116, 122)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1408
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1402 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1 * T2^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 48, 34, 16, 5)(2, 7, 20, 39, 59, 44, 24, 8)(4, 12, 28, 50, 63, 51, 31, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 45, 57, 52, 32, 14, 26)(11, 29, 49, 58, 53, 33, 15, 30)(19, 37, 56, 47, 61, 42, 22, 38)(21, 40, 60, 46, 62, 43, 23, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 107, 93, 106)(90, 110, 94, 111)(91, 109, 118, 113)(96, 104, 97, 101)(98, 116, 119, 117)(102, 121, 105, 122)(103, 120, 114, 124)(108, 125, 115, 126)(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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1407
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1403 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^2 * T2^-1 * T1^-2, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 46, 34, 16, 5)(2, 7, 20, 39, 55, 44, 24, 8)(4, 12, 28, 48, 60, 49, 31, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 45, 59, 50, 32, 14, 26)(11, 29, 47, 61, 51, 33, 15, 30)(19, 37, 54, 63, 57, 42, 22, 38)(21, 40, 56, 64, 58, 43, 23, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 104, 93, 101)(90, 105, 94, 102)(91, 109, 116, 111)(96, 107, 97, 106)(98, 114, 117, 115)(103, 118, 112, 120)(108, 121, 113, 122)(110, 119, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1406
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1404 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1^-1 * T2^-1 * T1^2, T2^-2 * T1 * T2^2 * T1^-1, T1^8, (T2 * T1)^4, T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^2, (T2 * T1^-1)^4, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 58, 41, 17, 5)(2, 7, 22, 51, 64, 56, 26, 8)(4, 12, 30, 46, 63, 49, 38, 14)(6, 19, 45, 40, 59, 32, 48, 20)(9, 18, 43, 61, 55, 39, 15, 28)(11, 31, 47, 62, 44, 35, 16, 33)(13, 25, 53, 23, 52, 27, 57, 36)(21, 42, 37, 60, 34, 54, 24, 50)(65, 66, 70, 82, 106, 99, 77, 68)(67, 73, 91, 115, 101, 78, 96, 75)(69, 79, 87, 71, 85, 113, 104, 80)(72, 88, 110, 83, 108, 105, 119, 89)(74, 86, 109, 125, 124, 97, 117, 94)(76, 84, 111, 93, 107, 100, 120, 98)(81, 90, 112, 92, 114, 126, 121, 102)(95, 116, 127, 122, 128, 123, 103, 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 ) }
Outer automorphisms :: reflexible
Dual of E17.1410
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1405 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^2 * T1 * T2^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-2, T2^-1 * T1 * T2^-1 * T1^5, T2^3 * T1^-2 * T2 * T1^-2, T2^8, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 58, 41, 17, 5)(2, 7, 22, 51, 64, 56, 26, 8)(4, 12, 30, 54, 63, 47, 38, 14)(6, 19, 45, 34, 57, 32, 48, 20)(9, 27, 52, 61, 43, 18, 15, 28)(11, 31, 46, 62, 44, 40, 16, 33)(13, 36, 59, 39, 55, 25, 53, 23)(21, 49, 37, 60, 35, 42, 24, 50)(65, 66, 70, 82, 106, 95, 77, 68)(67, 73, 89, 72, 88, 118, 96, 75)(69, 79, 103, 120, 99, 76, 98, 80)(71, 85, 111, 84, 110, 93, 116, 87)(74, 86, 109, 92, 114, 126, 123, 94)(78, 83, 108, 105, 107, 100, 115, 101)(81, 90, 112, 125, 124, 97, 117, 102)(91, 113, 104, 119, 127, 122, 128, 121)
	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 ) }
Outer automorphisms :: reflexible
Dual of E17.1411
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1406 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2 * T1^-1 * T2^-2 * T1^-1 * T2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 48, 112, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 56, 120, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 27, 91, 46, 110, 60, 124, 49, 113, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 52, 116, 62, 126, 53, 117, 36, 100, 18, 82)(9, 73, 25, 89, 45, 109, 59, 123, 51, 115, 33, 97, 15, 79, 26, 90)(11, 75, 29, 93, 47, 111, 61, 125, 50, 114, 32, 96, 14, 78, 30, 94)(19, 83, 37, 101, 54, 118, 63, 127, 58, 122, 43, 107, 23, 87, 38, 102)(21, 85, 40, 104, 55, 119, 64, 128, 57, 121, 42, 106, 22, 86, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 101)(26, 105)(27, 99)(28, 111)(29, 104)(30, 102)(31, 100)(32, 106)(33, 107)(34, 115)(35, 84)(36, 88)(37, 93)(38, 90)(39, 119)(40, 89)(41, 94)(42, 97)(43, 96)(44, 122)(45, 92)(46, 118)(47, 116)(48, 120)(49, 121)(50, 98)(51, 117)(52, 109)(53, 114)(54, 103)(55, 110)(56, 126)(57, 108)(58, 113)(59, 128)(60, 112)(61, 127)(62, 124)(63, 123)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1403
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1407 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^4 * T1, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T1 * T2^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 30, 94, 11, 75, 29, 93, 46, 110, 26, 90)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(19, 83, 35, 99, 53, 117, 40, 104, 21, 85, 39, 103, 54, 118, 36, 100)(22, 86, 41, 105, 59, 123, 44, 108, 23, 87, 43, 107, 60, 124, 42, 106)(27, 91, 47, 111, 61, 125, 50, 114, 28, 92, 49, 113, 62, 126, 48, 112)(37, 101, 55, 119, 63, 127, 58, 122, 38, 102, 57, 121, 64, 128, 56, 120)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 92)(17, 75)(18, 79)(19, 76)(20, 101)(21, 71)(22, 77)(23, 72)(24, 102)(25, 99)(26, 105)(27, 80)(28, 74)(29, 103)(30, 107)(31, 100)(32, 106)(33, 104)(34, 108)(35, 93)(36, 97)(37, 88)(38, 84)(39, 89)(40, 95)(41, 94)(42, 98)(43, 90)(44, 96)(45, 119)(46, 121)(47, 117)(48, 123)(49, 118)(50, 124)(51, 120)(52, 122)(53, 113)(54, 111)(55, 110)(56, 116)(57, 109)(58, 115)(59, 114)(60, 112)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1402
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1408 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^2 * T2^-1 * T1^-1, T1^-1 * T2^2 * T1 * T2^-2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 48, 112, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 59, 123, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 50, 114, 63, 127, 51, 115, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 54, 118, 64, 128, 55, 119, 36, 100, 18, 82)(9, 73, 25, 89, 45, 109, 57, 121, 52, 116, 32, 96, 14, 78, 26, 90)(11, 75, 29, 93, 49, 113, 58, 122, 53, 117, 33, 97, 15, 79, 30, 94)(19, 83, 37, 101, 56, 120, 47, 111, 61, 125, 42, 106, 22, 86, 38, 102)(21, 85, 40, 104, 60, 124, 46, 110, 62, 126, 43, 107, 23, 87, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 107)(26, 110)(27, 109)(28, 74)(29, 106)(30, 111)(31, 80)(32, 104)(33, 101)(34, 116)(35, 92)(36, 95)(37, 96)(38, 121)(39, 120)(40, 97)(41, 122)(42, 89)(43, 93)(44, 125)(45, 118)(46, 94)(47, 90)(48, 123)(49, 91)(50, 124)(51, 126)(52, 119)(53, 98)(54, 113)(55, 117)(56, 114)(57, 105)(58, 102)(59, 128)(60, 103)(61, 115)(62, 108)(63, 112)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1401
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1409 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^2 * T2^-1 * T1^-2, T2 * T1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1, T2^8, T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-3 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 55, 119, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 48, 112, 60, 124, 49, 113, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 52, 116, 62, 126, 53, 117, 36, 100, 18, 82)(9, 73, 25, 89, 45, 109, 59, 123, 50, 114, 32, 96, 14, 78, 26, 90)(11, 75, 29, 93, 47, 111, 61, 125, 51, 115, 33, 97, 15, 79, 30, 94)(19, 83, 37, 101, 54, 118, 63, 127, 57, 121, 42, 106, 22, 86, 38, 102)(21, 85, 40, 104, 56, 120, 64, 128, 58, 122, 43, 107, 23, 87, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 104)(26, 105)(27, 109)(28, 74)(29, 101)(30, 102)(31, 80)(32, 107)(33, 106)(34, 114)(35, 92)(36, 95)(37, 89)(38, 90)(39, 118)(40, 93)(41, 94)(42, 96)(43, 97)(44, 121)(45, 116)(46, 119)(47, 91)(48, 120)(49, 122)(50, 117)(51, 98)(52, 111)(53, 115)(54, 112)(55, 126)(56, 103)(57, 113)(58, 108)(59, 128)(60, 110)(61, 127)(62, 124)(63, 123)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1400
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1410 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-2 * T1 * T2^-2 * T1^-1, T2^2 * T1^-4, T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1, T1^-1 * T2^-1 * T1 * T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 17, 81, 14, 78)(6, 70, 18, 82, 13, 77, 19, 83)(9, 73, 26, 90, 15, 79, 27, 91)(11, 75, 28, 92, 16, 80, 30, 94)(20, 84, 40, 104, 23, 87, 41, 105)(22, 86, 42, 106, 24, 88, 44, 108)(25, 89, 45, 109, 29, 93, 46, 110)(31, 95, 47, 111, 33, 97, 48, 112)(32, 96, 49, 113, 34, 98, 50, 114)(35, 99, 54, 118, 37, 101, 55, 119)(36, 100, 56, 120, 38, 102, 58, 122)(39, 103, 59, 123, 43, 107, 60, 124)(51, 115, 61, 125, 52, 116, 62, 126)(53, 117, 63, 127, 57, 121, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 85)(11, 67)(12, 95)(13, 68)(14, 97)(15, 93)(16, 69)(17, 74)(18, 99)(19, 101)(20, 103)(21, 77)(22, 71)(23, 107)(24, 72)(25, 80)(26, 104)(27, 105)(28, 106)(29, 75)(30, 108)(31, 115)(32, 76)(33, 116)(34, 78)(35, 117)(36, 82)(37, 121)(38, 83)(39, 88)(40, 118)(41, 119)(42, 120)(43, 86)(44, 122)(45, 123)(46, 124)(47, 90)(48, 91)(49, 92)(50, 94)(51, 98)(52, 96)(53, 102)(54, 112)(55, 111)(56, 114)(57, 100)(58, 113)(59, 127)(60, 128)(61, 109)(62, 110)(63, 126)(64, 125)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1404
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1411 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^2 * T1^-1 * T2, T2 * T1^2 * T2 * T1^-2, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T1^8, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 27, 91, 14, 78)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 25, 89, 15, 79, 26, 90)(11, 75, 28, 92, 16, 80, 30, 94)(13, 77, 32, 96, 45, 109, 29, 93)(17, 81, 36, 100, 55, 119, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 46, 110, 34, 98, 48, 112)(33, 97, 51, 115, 59, 123, 49, 113)(35, 99, 52, 116, 62, 126, 53, 117)(38, 102, 57, 121, 40, 104, 58, 122)(47, 111, 61, 125, 50, 114, 60, 124)(54, 118, 63, 127, 56, 120, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 83)(10, 85)(11, 67)(12, 88)(13, 68)(14, 86)(15, 82)(16, 69)(17, 99)(18, 102)(19, 104)(20, 101)(21, 103)(22, 71)(23, 100)(24, 72)(25, 105)(26, 106)(27, 74)(28, 107)(29, 75)(30, 108)(31, 76)(32, 80)(33, 77)(34, 78)(35, 97)(36, 118)(37, 120)(38, 117)(39, 119)(40, 116)(41, 121)(42, 122)(43, 90)(44, 89)(45, 91)(46, 92)(47, 93)(48, 94)(49, 95)(50, 96)(51, 98)(52, 111)(53, 114)(54, 113)(55, 126)(56, 115)(57, 127)(58, 128)(59, 109)(60, 110)(61, 112)(62, 123)(63, 125)(64, 124)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1405
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1412 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, Y1^4, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y1 * Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1, Y3^-1 * Y2 * Y3^-2 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y3 * Y2^-2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^8, Y2^-1 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 20, 84)(16, 80, 31, 95, 36, 100, 24, 88)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 41, 105, 30, 94, 38, 102)(28, 92, 47, 111, 52, 116, 45, 109)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 51, 115, 53, 117, 50, 114)(39, 103, 55, 119, 46, 110, 54, 118)(44, 108, 58, 122, 49, 113, 57, 121)(48, 112, 56, 120, 62, 126, 60, 124)(59, 123, 64, 128, 61, 125, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 184, 248, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 155, 219, 174, 238, 188, 252, 177, 241, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 187, 251, 179, 243, 161, 225, 143, 207, 154, 218)(139, 203, 157, 221, 175, 239, 189, 253, 178, 242, 160, 224, 142, 206, 158, 222)(147, 211, 165, 229, 182, 246, 191, 255, 186, 250, 171, 235, 151, 215, 166, 230)(149, 213, 168, 232, 183, 247, 192, 256, 185, 249, 170, 234, 150, 214, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 163)(21, 140)(22, 136)(23, 141)(24, 164)(25, 168)(26, 166)(27, 138)(28, 173)(29, 165)(30, 169)(31, 144)(32, 171)(33, 170)(34, 178)(35, 155)(36, 159)(37, 153)(38, 158)(39, 182)(40, 157)(41, 154)(42, 160)(43, 161)(44, 185)(45, 180)(46, 183)(47, 156)(48, 188)(49, 186)(50, 181)(51, 162)(52, 175)(53, 179)(54, 174)(55, 167)(56, 176)(57, 177)(58, 172)(59, 191)(60, 190)(61, 192)(62, 184)(63, 189)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1423
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1413 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y1 * Y3^-1)^2, (R * Y3)^2, Y1^4, (R * Y1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-2 * Y3 * Y1^-1 * Y2^-2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y2^-1, Y3^-1, Y2), (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 16, 80, 28, 92)(20, 84, 37, 101, 24, 88, 38, 102)(25, 89, 35, 99, 29, 93, 39, 103)(26, 90, 41, 105, 30, 94, 43, 107)(31, 95, 36, 100, 33, 97, 40, 104)(32, 96, 42, 106, 34, 98, 44, 108)(45, 109, 55, 119, 46, 110, 57, 121)(47, 111, 53, 117, 49, 113, 54, 118)(48, 112, 59, 123, 50, 114, 60, 124)(51, 115, 56, 120, 52, 116, 58, 122)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 158, 222, 139, 203, 157, 221, 174, 238, 154, 218)(142, 206, 159, 223, 179, 243, 162, 226, 143, 207, 161, 225, 180, 244, 160, 224)(147, 211, 163, 227, 181, 245, 168, 232, 149, 213, 167, 231, 182, 246, 164, 228)(150, 214, 169, 233, 187, 251, 172, 236, 151, 215, 171, 235, 188, 252, 170, 234)(155, 219, 175, 239, 189, 253, 178, 242, 156, 220, 177, 241, 190, 254, 176, 240)(165, 229, 183, 247, 191, 255, 186, 250, 166, 230, 185, 249, 192, 256, 184, 248)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 155)(17, 137)(18, 142)(19, 135)(20, 166)(21, 140)(22, 136)(23, 141)(24, 165)(25, 167)(26, 171)(27, 138)(28, 144)(29, 163)(30, 169)(31, 168)(32, 172)(33, 164)(34, 170)(35, 153)(36, 159)(37, 148)(38, 152)(39, 157)(40, 161)(41, 154)(42, 160)(43, 158)(44, 162)(45, 185)(46, 183)(47, 182)(48, 188)(49, 181)(50, 187)(51, 186)(52, 184)(53, 175)(54, 177)(55, 173)(56, 179)(57, 174)(58, 180)(59, 176)(60, 178)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1421
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1414 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3 * Y1, Y3^-1 * Y1^-1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1 * Y3^-2 * Y1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^2 * Y3^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y3 * Y1^-1 * Y2^-1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 43, 107, 29, 93, 42, 106)(26, 90, 46, 110, 30, 94, 47, 111)(27, 91, 45, 109, 54, 118, 49, 113)(32, 96, 40, 104, 33, 97, 37, 101)(34, 98, 52, 116, 55, 119, 53, 117)(38, 102, 57, 121, 41, 105, 58, 122)(39, 103, 56, 120, 50, 114, 60, 124)(44, 108, 61, 125, 51, 115, 62, 126)(48, 112, 59, 123, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 187, 251, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 178, 242, 191, 255, 179, 243, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 185, 249, 180, 244, 160, 224, 142, 206, 154, 218)(139, 203, 157, 221, 177, 241, 186, 250, 181, 245, 161, 225, 143, 207, 158, 222)(147, 211, 165, 229, 184, 248, 175, 239, 189, 253, 170, 234, 150, 214, 166, 230)(149, 213, 168, 232, 188, 252, 174, 238, 190, 254, 171, 235, 151, 215, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 170)(26, 175)(27, 177)(28, 163)(29, 171)(30, 174)(31, 164)(32, 165)(33, 168)(34, 181)(35, 148)(36, 152)(37, 161)(38, 186)(39, 188)(40, 160)(41, 185)(42, 157)(43, 153)(44, 190)(45, 155)(46, 154)(47, 158)(48, 191)(49, 182)(50, 184)(51, 189)(52, 162)(53, 183)(54, 173)(55, 180)(56, 167)(57, 166)(58, 169)(59, 176)(60, 178)(61, 172)(62, 179)(63, 192)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1420
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1415 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3^-2 * Y1, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * R * Y2^-1)^2, Y1 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y3^-1, Y2^-1 * Y3^-1 * Y2^2 * Y3 * Y2^-1, (R * Y2 * Y3^-1)^2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y2^8, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 41, 105, 30, 94, 38, 102)(27, 91, 45, 109, 52, 116, 47, 111)(32, 96, 43, 107, 33, 97, 42, 106)(34, 98, 50, 114, 53, 117, 51, 115)(39, 103, 54, 118, 48, 112, 56, 120)(44, 108, 57, 121, 49, 113, 58, 122)(46, 110, 55, 119, 62, 126, 60, 124)(59, 123, 64, 128, 61, 125, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 183, 247, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 176, 240, 188, 252, 177, 241, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 187, 251, 178, 242, 160, 224, 142, 206, 154, 218)(139, 203, 157, 221, 175, 239, 189, 253, 179, 243, 161, 225, 143, 207, 158, 222)(147, 211, 165, 229, 182, 246, 191, 255, 185, 249, 170, 234, 150, 214, 166, 230)(149, 213, 168, 232, 184, 248, 192, 256, 186, 250, 171, 235, 151, 215, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 165)(26, 166)(27, 175)(28, 163)(29, 168)(30, 169)(31, 164)(32, 170)(33, 171)(34, 179)(35, 148)(36, 152)(37, 157)(38, 158)(39, 184)(40, 153)(41, 154)(42, 161)(43, 160)(44, 186)(45, 155)(46, 188)(47, 180)(48, 182)(49, 185)(50, 162)(51, 181)(52, 173)(53, 178)(54, 167)(55, 174)(56, 176)(57, 172)(58, 177)(59, 191)(60, 190)(61, 192)(62, 183)(63, 189)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1422
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1416 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^2 * Y1 * Y2^-2, Y2 * Y1^-3 * Y2 * Y1, (Y3^-1 * Y1^-1)^4, (Y2 * Y1^-1)^4, Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-2, Y1^2 * Y2 * Y1^2 * Y2^3, Y2^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 51, 115, 37, 101, 14, 78, 32, 96, 11, 75)(5, 69, 15, 79, 23, 87, 7, 71, 21, 85, 49, 113, 40, 104, 16, 80)(8, 72, 24, 88, 46, 110, 19, 83, 44, 108, 41, 105, 55, 119, 25, 89)(10, 74, 22, 86, 45, 109, 61, 125, 60, 124, 33, 97, 53, 117, 30, 94)(12, 76, 20, 84, 47, 111, 29, 93, 43, 107, 36, 100, 56, 120, 34, 98)(17, 81, 26, 90, 48, 112, 28, 92, 50, 114, 62, 126, 57, 121, 38, 102)(31, 95, 52, 116, 63, 127, 58, 122, 64, 128, 59, 123, 39, 103, 54, 118)(129, 193, 131, 195, 138, 202, 157, 221, 186, 250, 169, 233, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 179, 243, 192, 256, 184, 248, 154, 218, 136, 200)(132, 196, 140, 204, 158, 222, 174, 238, 191, 255, 177, 241, 166, 230, 142, 206)(134, 198, 147, 211, 173, 237, 168, 232, 187, 251, 160, 224, 176, 240, 148, 212)(137, 201, 146, 210, 171, 235, 189, 253, 183, 247, 167, 231, 143, 207, 156, 220)(139, 203, 159, 223, 175, 239, 190, 254, 172, 236, 163, 227, 144, 208, 161, 225)(141, 205, 153, 217, 181, 245, 151, 215, 180, 244, 155, 219, 185, 249, 164, 228)(149, 213, 170, 234, 165, 229, 188, 252, 162, 226, 182, 246, 152, 216, 178, 242)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 146)(10, 157)(11, 159)(12, 158)(13, 153)(14, 132)(15, 156)(16, 161)(17, 133)(18, 171)(19, 173)(20, 134)(21, 170)(22, 179)(23, 180)(24, 178)(25, 181)(26, 136)(27, 185)(28, 137)(29, 186)(30, 174)(31, 175)(32, 176)(33, 139)(34, 182)(35, 144)(36, 141)(37, 188)(38, 142)(39, 143)(40, 187)(41, 145)(42, 165)(43, 189)(44, 163)(45, 168)(46, 191)(47, 190)(48, 148)(49, 166)(50, 149)(51, 192)(52, 155)(53, 151)(54, 152)(55, 167)(56, 154)(57, 164)(58, 169)(59, 160)(60, 162)(61, 183)(62, 172)(63, 177)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1419
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1417 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^-2 * Y1^-1, Y1^2 * Y2^-1 * Y1^2 * Y2^-3, Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1^-5 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 31, 95, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 8, 72, 24, 88, 54, 118, 32, 96, 11, 75)(5, 69, 15, 79, 39, 103, 56, 120, 35, 99, 12, 76, 34, 98, 16, 80)(7, 71, 21, 85, 47, 111, 20, 84, 46, 110, 29, 93, 52, 116, 23, 87)(10, 74, 22, 86, 45, 109, 28, 92, 50, 114, 62, 126, 59, 123, 30, 94)(14, 78, 19, 83, 44, 108, 41, 105, 43, 107, 36, 100, 51, 115, 37, 101)(17, 81, 26, 90, 48, 112, 61, 125, 60, 124, 33, 97, 53, 117, 38, 102)(27, 91, 49, 113, 40, 104, 55, 119, 63, 127, 58, 122, 64, 128, 57, 121)(129, 193, 131, 195, 138, 202, 157, 221, 186, 250, 169, 233, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 179, 243, 192, 256, 184, 248, 154, 218, 136, 200)(132, 196, 140, 204, 158, 222, 182, 246, 191, 255, 175, 239, 166, 230, 142, 206)(134, 198, 147, 211, 173, 237, 162, 226, 185, 249, 160, 224, 176, 240, 148, 212)(137, 201, 155, 219, 180, 244, 189, 253, 171, 235, 146, 210, 143, 207, 156, 220)(139, 203, 159, 223, 174, 238, 190, 254, 172, 236, 168, 232, 144, 208, 161, 225)(141, 205, 164, 228, 187, 251, 167, 231, 183, 247, 153, 217, 181, 245, 151, 215)(149, 213, 177, 241, 165, 229, 188, 252, 163, 227, 170, 234, 152, 216, 178, 242)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 155)(10, 157)(11, 159)(12, 158)(13, 164)(14, 132)(15, 156)(16, 161)(17, 133)(18, 143)(19, 173)(20, 134)(21, 177)(22, 179)(23, 141)(24, 178)(25, 181)(26, 136)(27, 180)(28, 137)(29, 186)(30, 182)(31, 174)(32, 176)(33, 139)(34, 185)(35, 170)(36, 187)(37, 188)(38, 142)(39, 183)(40, 144)(41, 145)(42, 152)(43, 146)(44, 168)(45, 162)(46, 190)(47, 166)(48, 148)(49, 165)(50, 149)(51, 192)(52, 189)(53, 151)(54, 191)(55, 153)(56, 154)(57, 160)(58, 169)(59, 167)(60, 163)(61, 171)(62, 172)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1418
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1418 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-2 * Y2 * Y3, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1, Y3^4 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (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, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 163, 227, 148, 212)(144, 208, 159, 223, 164, 228, 152, 216)(153, 217, 165, 229, 157, 221, 168, 232)(154, 218, 169, 233, 158, 222, 166, 230)(156, 220, 175, 239, 180, 244, 173, 237)(160, 224, 170, 234, 161, 225, 171, 235)(162, 226, 179, 243, 181, 245, 178, 242)(167, 231, 183, 247, 174, 238, 182, 246)(172, 236, 186, 250, 177, 241, 185, 249)(176, 240, 184, 248, 190, 254, 188, 252)(187, 251, 192, 256, 189, 253, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 155)(13, 132)(14, 158)(15, 154)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 169)(23, 166)(24, 136)(25, 173)(26, 137)(27, 174)(28, 176)(29, 175)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 180)(36, 146)(37, 182)(38, 147)(39, 184)(40, 183)(41, 149)(42, 150)(43, 151)(44, 152)(45, 187)(46, 188)(47, 189)(48, 162)(49, 159)(50, 160)(51, 161)(52, 190)(53, 164)(54, 191)(55, 192)(56, 172)(57, 170)(58, 171)(59, 179)(60, 177)(61, 178)(62, 181)(63, 186)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1417
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1419 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y2 * Y3 * Y2^2 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^2 * Y3^-3, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 144, 208, 156, 220)(148, 212, 165, 229, 152, 216, 166, 230)(153, 217, 163, 227, 157, 221, 167, 231)(154, 218, 169, 233, 158, 222, 171, 235)(159, 223, 164, 228, 161, 225, 168, 232)(160, 224, 170, 234, 162, 226, 172, 236)(173, 237, 183, 247, 174, 238, 185, 249)(175, 239, 181, 245, 177, 241, 182, 246)(176, 240, 187, 251, 178, 242, 188, 252)(179, 243, 184, 248, 180, 244, 186, 250)(189, 253, 191, 255, 190, 254, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 146)(11, 157)(12, 152)(13, 132)(14, 159)(15, 161)(16, 133)(17, 144)(18, 134)(19, 163)(20, 141)(21, 167)(22, 169)(23, 171)(24, 136)(25, 173)(26, 137)(27, 175)(28, 177)(29, 174)(30, 139)(31, 179)(32, 142)(33, 180)(34, 143)(35, 181)(36, 147)(37, 183)(38, 185)(39, 182)(40, 149)(41, 187)(42, 150)(43, 188)(44, 151)(45, 158)(46, 154)(47, 189)(48, 155)(49, 190)(50, 156)(51, 162)(52, 160)(53, 168)(54, 164)(55, 191)(56, 165)(57, 192)(58, 166)(59, 172)(60, 170)(61, 178)(62, 176)(63, 186)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1416
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1420 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^4 * Y3^-2, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 16, 80, 5, 69, 15, 79, 29, 93, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 43, 107, 22, 86)(12, 76, 31, 95, 51, 115, 34, 98, 14, 78, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 57, 121, 36, 100)(26, 90, 40, 104, 54, 118, 48, 112, 27, 91, 41, 105, 55, 119, 47, 111)(28, 92, 42, 106, 56, 120, 50, 114, 30, 94, 44, 108, 58, 122, 49, 113)(45, 109, 59, 123, 63, 127, 62, 126, 46, 110, 60, 124, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 156)(12, 145)(13, 147)(14, 132)(15, 155)(16, 158)(17, 142)(18, 141)(19, 134)(20, 168)(21, 136)(22, 170)(23, 169)(24, 172)(25, 173)(26, 143)(27, 137)(28, 144)(29, 174)(30, 139)(31, 175)(32, 177)(33, 176)(34, 178)(35, 182)(36, 184)(37, 183)(38, 186)(39, 187)(40, 151)(41, 148)(42, 152)(43, 188)(44, 150)(45, 157)(46, 153)(47, 161)(48, 159)(49, 162)(50, 160)(51, 189)(52, 190)(53, 191)(54, 165)(55, 163)(56, 166)(57, 192)(58, 164)(59, 171)(60, 167)(61, 180)(62, 179)(63, 185)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1414
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1421 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, Y1^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 54, 118, 50, 114, 29, 93, 11, 75)(5, 69, 15, 79, 19, 83, 40, 104, 55, 119, 53, 117, 33, 97, 16, 80)(7, 71, 20, 84, 36, 100, 56, 120, 51, 115, 31, 95, 12, 76, 22, 86)(8, 72, 23, 87, 37, 101, 58, 122, 52, 116, 34, 98, 14, 78, 24, 88)(10, 74, 21, 85, 39, 103, 57, 121, 64, 128, 63, 127, 49, 113, 27, 91)(25, 89, 45, 109, 59, 123, 44, 108, 62, 126, 42, 106, 28, 92, 46, 110)(26, 90, 47, 111, 60, 124, 43, 107, 61, 125, 41, 105, 30, 94, 48, 112)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 177)(30, 139)(31, 175)(32, 179)(33, 141)(34, 173)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 159)(46, 184)(47, 162)(48, 186)(49, 161)(50, 190)(51, 191)(52, 160)(53, 189)(54, 192)(55, 163)(56, 176)(57, 165)(58, 174)(59, 168)(60, 166)(61, 178)(62, 181)(63, 180)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1413
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1422 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1^8, (Y1^-1 * Y3^-1)^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 40, 104, 52, 116, 47, 111, 29, 93, 11, 75)(5, 69, 15, 79, 18, 82, 38, 102, 53, 117, 50, 114, 32, 96, 16, 80)(7, 71, 20, 84, 37, 101, 56, 120, 51, 115, 34, 98, 14, 78, 22, 86)(8, 72, 23, 87, 36, 100, 54, 118, 49, 113, 31, 95, 12, 76, 24, 88)(10, 74, 21, 85, 39, 103, 55, 119, 62, 126, 59, 123, 45, 109, 27, 91)(25, 89, 41, 105, 57, 121, 63, 127, 61, 125, 48, 112, 30, 94, 44, 108)(26, 90, 42, 106, 58, 122, 64, 128, 60, 124, 46, 110, 28, 92, 43, 107)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 160)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 141)(30, 139)(31, 174)(32, 173)(33, 179)(34, 176)(35, 180)(36, 183)(37, 145)(38, 185)(39, 147)(40, 186)(41, 151)(42, 148)(43, 152)(44, 150)(45, 157)(46, 162)(47, 189)(48, 159)(49, 161)(50, 188)(51, 187)(52, 190)(53, 163)(54, 191)(55, 165)(56, 192)(57, 168)(58, 166)(59, 177)(60, 175)(61, 178)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1415
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1423 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = Q8 : C8 (small group id <64, 7>)
Aut   = $<128, 353>$ (small group id <128, 353>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^2 * Y1 * Y3^-2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^8, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 52, 116, 47, 111, 29, 93, 11, 75)(5, 69, 15, 79, 19, 83, 40, 104, 53, 117, 51, 115, 33, 97, 16, 80)(7, 71, 20, 84, 36, 100, 54, 118, 49, 113, 31, 95, 12, 76, 22, 86)(8, 72, 23, 87, 37, 101, 56, 120, 50, 114, 34, 98, 14, 78, 24, 88)(10, 74, 21, 85, 39, 103, 55, 119, 62, 126, 59, 123, 45, 109, 27, 91)(25, 89, 42, 106, 57, 121, 64, 128, 60, 124, 46, 110, 28, 92, 44, 108)(26, 90, 41, 105, 58, 122, 63, 127, 61, 125, 48, 112, 30, 94, 43, 107)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 173)(30, 139)(31, 176)(32, 177)(33, 141)(34, 174)(35, 180)(36, 183)(37, 145)(38, 185)(39, 147)(40, 186)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 159)(47, 188)(48, 162)(49, 187)(50, 160)(51, 189)(52, 190)(53, 163)(54, 191)(55, 165)(56, 192)(57, 168)(58, 166)(59, 178)(60, 179)(61, 175)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1412
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1424 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-2 * T1^-1)^2, (T2^2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 50, 34, 16, 5)(2, 7, 20, 39, 60, 44, 24, 8)(4, 12, 31, 51, 63, 48, 27, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 15, 33, 53, 57, 47, 26)(11, 29, 14, 32, 52, 56, 49, 30)(19, 37, 23, 43, 62, 45, 58, 38)(21, 40, 22, 42, 61, 46, 59, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 88)(80, 95, 100, 84)(89, 109, 93, 110)(90, 105, 94, 102)(92, 113, 118, 111)(96, 107, 97, 106)(98, 117, 119, 116)(101, 120, 104, 121)(103, 123, 115, 122)(108, 126, 112, 125)(114, 124, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1425
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1425 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, (T2^-2 * T1^-1)^2, (T2^2 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 50, 114, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 60, 124, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 31, 95, 51, 115, 63, 127, 48, 112, 27, 91, 13, 77)(6, 70, 17, 81, 35, 99, 54, 118, 64, 128, 55, 119, 36, 100, 18, 82)(9, 73, 25, 89, 15, 79, 33, 97, 53, 117, 57, 121, 47, 111, 26, 90)(11, 75, 29, 93, 14, 78, 32, 96, 52, 116, 56, 120, 49, 113, 30, 94)(19, 83, 37, 101, 23, 87, 43, 107, 62, 126, 45, 109, 58, 122, 38, 102)(21, 85, 40, 104, 22, 86, 42, 106, 61, 125, 46, 110, 59, 123, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 80)(21, 71)(22, 77)(23, 72)(24, 74)(25, 109)(26, 105)(27, 99)(28, 113)(29, 110)(30, 102)(31, 100)(32, 107)(33, 106)(34, 117)(35, 88)(36, 84)(37, 120)(38, 90)(39, 123)(40, 121)(41, 94)(42, 96)(43, 97)(44, 126)(45, 93)(46, 89)(47, 92)(48, 125)(49, 118)(50, 124)(51, 122)(52, 98)(53, 119)(54, 111)(55, 116)(56, 104)(57, 101)(58, 103)(59, 115)(60, 128)(61, 108)(62, 112)(63, 114)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1424
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1426 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^-1 * Y1 * Y2^-2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y2^-1 * Y3 * Y2^-2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2, Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^8, (Y3 * Y2 * Y1 * Y2)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 24, 88)(16, 80, 31, 95, 36, 100, 20, 84)(25, 89, 45, 109, 29, 93, 46, 110)(26, 90, 41, 105, 30, 94, 38, 102)(28, 92, 49, 113, 54, 118, 47, 111)(32, 96, 43, 107, 33, 97, 42, 106)(34, 98, 53, 117, 55, 119, 52, 116)(37, 101, 56, 120, 40, 104, 57, 121)(39, 103, 59, 123, 51, 115, 58, 122)(44, 108, 62, 126, 48, 112, 61, 125)(50, 114, 60, 124, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 178, 242, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 188, 252, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 179, 243, 191, 255, 176, 240, 155, 219, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 143, 207, 161, 225, 181, 245, 185, 249, 175, 239, 154, 218)(139, 203, 157, 221, 142, 206, 160, 224, 180, 244, 184, 248, 177, 241, 158, 222)(147, 211, 165, 229, 151, 215, 171, 235, 190, 254, 173, 237, 186, 250, 166, 230)(149, 213, 168, 232, 150, 214, 170, 234, 189, 253, 174, 238, 187, 251, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 148)(17, 137)(18, 142)(19, 135)(20, 164)(21, 140)(22, 136)(23, 141)(24, 163)(25, 174)(26, 166)(27, 138)(28, 175)(29, 173)(30, 169)(31, 144)(32, 170)(33, 171)(34, 180)(35, 155)(36, 159)(37, 185)(38, 158)(39, 186)(40, 184)(41, 154)(42, 161)(43, 160)(44, 189)(45, 153)(46, 157)(47, 182)(48, 190)(49, 156)(50, 191)(51, 187)(52, 183)(53, 162)(54, 177)(55, 181)(56, 165)(57, 168)(58, 179)(59, 167)(60, 178)(61, 176)(62, 172)(63, 192)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1427
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1427 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C4) : C2 (small group id <64, 10>)
Aut   = $<128, 387>$ (small group id <128, 387>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-2)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1, Y1^8, (Y3 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 54, 118, 40, 104, 19, 83, 11, 75)(5, 69, 15, 79, 32, 96, 52, 116, 55, 119, 39, 103, 18, 82, 16, 80)(7, 71, 20, 84, 14, 78, 34, 98, 53, 117, 58, 122, 37, 101, 22, 86)(8, 72, 23, 87, 12, 76, 31, 95, 51, 115, 57, 121, 36, 100, 24, 88)(10, 74, 21, 85, 38, 102, 56, 120, 64, 128, 63, 127, 46, 110, 28, 92)(26, 90, 47, 111, 30, 94, 50, 114, 60, 124, 41, 105, 61, 125, 44, 108)(27, 91, 48, 112, 29, 93, 49, 113, 59, 123, 42, 106, 62, 126, 43, 107)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 160)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 141)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 178)(32, 174)(33, 181)(34, 177)(35, 182)(36, 184)(37, 145)(38, 147)(39, 187)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 190)(46, 153)(47, 185)(48, 186)(49, 159)(50, 162)(51, 161)(52, 189)(53, 191)(54, 192)(55, 163)(56, 165)(57, 176)(58, 175)(59, 168)(60, 167)(61, 173)(62, 180)(63, 179)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1426
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1428 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 50, 34, 16, 5)(2, 7, 20, 39, 60, 44, 24, 8)(4, 12, 27, 48, 63, 51, 31, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 45, 57, 53, 33, 15, 26)(11, 29, 49, 58, 52, 32, 14, 30)(19, 37, 56, 47, 62, 43, 23, 38)(21, 40, 59, 46, 61, 42, 22, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 99, 84)(80, 95, 100, 88)(89, 107, 93, 106)(90, 110, 94, 111)(92, 113, 118, 109)(96, 104, 97, 101)(98, 117, 119, 116)(102, 121, 105, 122)(103, 123, 112, 120)(108, 126, 115, 125)(114, 124, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1432
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1429 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2^4 * T1, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1 * T2^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 45, 30, 11, 29, 46, 26)(14, 31, 51, 34, 15, 33, 52, 32)(19, 35, 53, 40, 21, 39, 54, 36)(22, 41, 59, 44, 23, 43, 60, 42)(27, 47, 61, 50, 28, 49, 62, 48)(37, 55, 63, 58, 38, 57, 64, 56)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 80, 92)(84, 101, 88, 102)(89, 103, 93, 99)(90, 107, 94, 105)(95, 104, 97, 100)(96, 108, 98, 106)(109, 119, 110, 121)(111, 117, 113, 118)(112, 123, 114, 124)(115, 120, 116, 122)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1431
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1430 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^-1 * T1^-1 * T2^-1 * T1^3, T1^-1 * T2 * T1^-1 * T2^-3, T1^-4 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^5 * T1^-1 * T2 * T1^-1, T2^-1 * T1 * T2 * T1^2 * T2^2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 30, 54, 24, 17, 5)(2, 7, 22, 11, 32, 47, 26, 8)(4, 12, 34, 55, 39, 15, 38, 14)(6, 19, 45, 23, 53, 27, 48, 20)(9, 18, 43, 31, 46, 62, 49, 28)(13, 25, 51, 40, 59, 33, 56, 36)(16, 29, 57, 63, 58, 41, 44, 35)(21, 42, 37, 52, 60, 64, 61, 50)(65, 66, 70, 82, 106, 99, 77, 68)(67, 73, 91, 121, 101, 78, 97, 75)(69, 79, 87, 71, 85, 113, 104, 80)(72, 88, 110, 83, 108, 125, 119, 89)(74, 93, 109, 98, 116, 86, 115, 95)(76, 84, 111, 124, 107, 100, 122, 94)(81, 105, 112, 102, 114, 90, 120, 92)(96, 117, 126, 128, 127, 123, 103, 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 ) }
Outer automorphisms :: reflexible
Dual of E17.1433
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1431 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 50, 114, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 60, 124, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 27, 91, 48, 112, 63, 127, 51, 115, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 54, 118, 64, 128, 55, 119, 36, 100, 18, 82)(9, 73, 25, 89, 45, 109, 57, 121, 53, 117, 33, 97, 15, 79, 26, 90)(11, 75, 29, 93, 49, 113, 58, 122, 52, 116, 32, 96, 14, 78, 30, 94)(19, 83, 37, 101, 56, 120, 47, 111, 62, 126, 43, 107, 23, 87, 38, 102)(21, 85, 40, 104, 59, 123, 46, 110, 61, 125, 42, 106, 22, 86, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 95)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 107)(26, 110)(27, 99)(28, 113)(29, 106)(30, 111)(31, 100)(32, 104)(33, 101)(34, 117)(35, 84)(36, 88)(37, 96)(38, 121)(39, 123)(40, 97)(41, 122)(42, 89)(43, 93)(44, 126)(45, 92)(46, 94)(47, 90)(48, 120)(49, 118)(50, 124)(51, 125)(52, 98)(53, 119)(54, 109)(55, 116)(56, 103)(57, 105)(58, 102)(59, 112)(60, 128)(61, 108)(62, 115)(63, 114)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1429
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1432 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2^4 * T1, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1 * T2^-1)^4 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 30, 94, 11, 75, 29, 93, 46, 110, 26, 90)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(19, 83, 35, 99, 53, 117, 40, 104, 21, 85, 39, 103, 54, 118, 36, 100)(22, 86, 41, 105, 59, 123, 44, 108, 23, 87, 43, 107, 60, 124, 42, 106)(27, 91, 47, 111, 61, 125, 50, 114, 28, 92, 49, 113, 62, 126, 48, 112)(37, 101, 55, 119, 63, 127, 58, 122, 38, 102, 57, 121, 64, 128, 56, 120)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 92)(17, 75)(18, 79)(19, 76)(20, 101)(21, 71)(22, 77)(23, 72)(24, 102)(25, 103)(26, 107)(27, 80)(28, 74)(29, 99)(30, 105)(31, 104)(32, 108)(33, 100)(34, 106)(35, 89)(36, 95)(37, 88)(38, 84)(39, 93)(40, 97)(41, 90)(42, 96)(43, 94)(44, 98)(45, 119)(46, 121)(47, 117)(48, 123)(49, 118)(50, 124)(51, 120)(52, 122)(53, 113)(54, 111)(55, 110)(56, 116)(57, 109)(58, 115)(59, 114)(60, 112)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1428
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1433 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^-2 * T1 * T2, T2 * T1^2 * T2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T1^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 27, 91, 14, 78)(6, 70, 18, 82, 39, 103, 19, 83)(9, 73, 25, 89, 15, 79, 26, 90)(11, 75, 28, 92, 16, 80, 30, 94)(13, 77, 32, 96, 49, 113, 29, 93)(17, 81, 36, 100, 57, 121, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 47, 111, 34, 98, 45, 109)(33, 97, 53, 117, 63, 127, 51, 115)(35, 99, 54, 118, 64, 128, 55, 119)(38, 102, 59, 123, 40, 104, 60, 124)(46, 110, 58, 122, 48, 112, 56, 120)(50, 114, 61, 125, 52, 116, 62, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 83)(10, 85)(11, 67)(12, 88)(13, 68)(14, 86)(15, 82)(16, 69)(17, 99)(18, 102)(19, 104)(20, 101)(21, 103)(22, 71)(23, 100)(24, 72)(25, 109)(26, 111)(27, 74)(28, 112)(29, 75)(30, 110)(31, 76)(32, 80)(33, 77)(34, 78)(35, 97)(36, 120)(37, 122)(38, 119)(39, 121)(40, 118)(41, 94)(42, 92)(43, 126)(44, 125)(45, 123)(46, 89)(47, 124)(48, 90)(49, 91)(50, 93)(51, 95)(52, 96)(53, 98)(54, 114)(55, 116)(56, 115)(57, 128)(58, 117)(59, 108)(60, 107)(61, 105)(62, 106)(63, 113)(64, 127)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1430
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1434 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^-2 * Y3 * Y1^-1, Y1 * Y3^-2 * Y1, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2^8, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 35, 99, 20, 84)(16, 80, 31, 95, 36, 100, 24, 88)(25, 89, 43, 107, 29, 93, 42, 106)(26, 90, 46, 110, 30, 94, 47, 111)(28, 92, 49, 113, 54, 118, 45, 109)(32, 96, 40, 104, 33, 97, 37, 101)(34, 98, 53, 117, 55, 119, 52, 116)(38, 102, 57, 121, 41, 105, 58, 122)(39, 103, 59, 123, 48, 112, 56, 120)(44, 108, 62, 126, 51, 115, 61, 125)(50, 114, 60, 124, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 156, 220, 178, 242, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 188, 252, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 155, 219, 176, 240, 191, 255, 179, 243, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 185, 249, 181, 245, 161, 225, 143, 207, 154, 218)(139, 203, 157, 221, 177, 241, 186, 250, 180, 244, 160, 224, 142, 206, 158, 222)(147, 211, 165, 229, 184, 248, 175, 239, 190, 254, 171, 235, 151, 215, 166, 230)(149, 213, 168, 232, 187, 251, 174, 238, 189, 253, 170, 234, 150, 214, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 163)(21, 140)(22, 136)(23, 141)(24, 164)(25, 170)(26, 175)(27, 138)(28, 173)(29, 171)(30, 174)(31, 144)(32, 165)(33, 168)(34, 180)(35, 155)(36, 159)(37, 161)(38, 186)(39, 184)(40, 160)(41, 185)(42, 157)(43, 153)(44, 189)(45, 182)(46, 154)(47, 158)(48, 187)(49, 156)(50, 191)(51, 190)(52, 183)(53, 162)(54, 177)(55, 181)(56, 176)(57, 166)(58, 169)(59, 167)(60, 178)(61, 179)(62, 172)(63, 192)(64, 188)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1439
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1435 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^2 * Y3^-1, R * Y1 * Y3^-1 * R * Y3 * Y1^-1, Y2^-1 * Y3 * Y1^-1 * Y2^-3, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3^-2 * Y2 * Y1, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y3^-1 * Y2^-3 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 16, 80, 28, 92)(20, 84, 37, 101, 24, 88, 38, 102)(25, 89, 39, 103, 29, 93, 35, 99)(26, 90, 43, 107, 30, 94, 41, 105)(31, 95, 40, 104, 33, 97, 36, 100)(32, 96, 44, 108, 34, 98, 42, 106)(45, 109, 55, 119, 46, 110, 57, 121)(47, 111, 53, 117, 49, 113, 54, 118)(48, 112, 59, 123, 50, 114, 60, 124)(51, 115, 56, 120, 52, 116, 58, 122)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 158, 222, 139, 203, 157, 221, 174, 238, 154, 218)(142, 206, 159, 223, 179, 243, 162, 226, 143, 207, 161, 225, 180, 244, 160, 224)(147, 211, 163, 227, 181, 245, 168, 232, 149, 213, 167, 231, 182, 246, 164, 228)(150, 214, 169, 233, 187, 251, 172, 236, 151, 215, 171, 235, 188, 252, 170, 234)(155, 219, 175, 239, 189, 253, 178, 242, 156, 220, 177, 241, 190, 254, 176, 240)(165, 229, 183, 247, 191, 255, 186, 250, 166, 230, 185, 249, 192, 256, 184, 248)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 155)(17, 137)(18, 142)(19, 135)(20, 166)(21, 140)(22, 136)(23, 141)(24, 165)(25, 163)(26, 169)(27, 138)(28, 144)(29, 167)(30, 171)(31, 164)(32, 170)(33, 168)(34, 172)(35, 157)(36, 161)(37, 148)(38, 152)(39, 153)(40, 159)(41, 158)(42, 162)(43, 154)(44, 160)(45, 185)(46, 183)(47, 182)(48, 188)(49, 181)(50, 187)(51, 186)(52, 184)(53, 175)(54, 177)(55, 173)(56, 179)(57, 174)(58, 180)(59, 176)(60, 178)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1438
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1436 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2^2 * Y1 * Y2^-1 * Y1 * Y2, Y1^-2 * Y2 * Y1 * Y2 * Y1^-1, Y2^5 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^2, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 57, 121, 37, 101, 14, 78, 33, 97, 11, 75)(5, 69, 15, 79, 23, 87, 7, 71, 21, 85, 49, 113, 40, 104, 16, 80)(8, 72, 24, 88, 46, 110, 19, 83, 44, 108, 61, 125, 55, 119, 25, 89)(10, 74, 29, 93, 45, 109, 34, 98, 52, 116, 22, 86, 51, 115, 31, 95)(12, 76, 20, 84, 47, 111, 60, 124, 43, 107, 36, 100, 58, 122, 30, 94)(17, 81, 41, 105, 48, 112, 38, 102, 50, 114, 26, 90, 56, 120, 28, 92)(32, 96, 53, 117, 62, 126, 64, 128, 63, 127, 59, 123, 39, 103, 54, 118)(129, 193, 131, 195, 138, 202, 158, 222, 182, 246, 152, 216, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 139, 203, 160, 224, 175, 239, 154, 218, 136, 200)(132, 196, 140, 204, 162, 226, 183, 247, 167, 231, 143, 207, 166, 230, 142, 206)(134, 198, 147, 211, 173, 237, 151, 215, 181, 245, 155, 219, 176, 240, 148, 212)(137, 201, 146, 210, 171, 235, 159, 223, 174, 238, 190, 254, 177, 241, 156, 220)(141, 205, 153, 217, 179, 243, 168, 232, 187, 251, 161, 225, 184, 248, 164, 228)(144, 208, 157, 221, 185, 249, 191, 255, 186, 250, 169, 233, 172, 236, 163, 227)(149, 213, 170, 234, 165, 229, 180, 244, 188, 252, 192, 256, 189, 253, 178, 242)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 146)(10, 158)(11, 160)(12, 162)(13, 153)(14, 132)(15, 166)(16, 157)(17, 133)(18, 171)(19, 173)(20, 134)(21, 170)(22, 139)(23, 181)(24, 145)(25, 179)(26, 136)(27, 176)(28, 137)(29, 185)(30, 182)(31, 174)(32, 175)(33, 184)(34, 183)(35, 144)(36, 141)(37, 180)(38, 142)(39, 143)(40, 187)(41, 172)(42, 165)(43, 159)(44, 163)(45, 151)(46, 190)(47, 154)(48, 148)(49, 156)(50, 149)(51, 168)(52, 188)(53, 155)(54, 152)(55, 167)(56, 164)(57, 191)(58, 169)(59, 161)(60, 192)(61, 178)(62, 177)(63, 186)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1437
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1437 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-1 * Y3^-2 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 155, 219, 163, 227, 148, 212)(144, 208, 159, 223, 164, 228, 152, 216)(153, 217, 171, 235, 157, 221, 170, 234)(154, 218, 174, 238, 158, 222, 175, 239)(156, 220, 177, 241, 182, 246, 173, 237)(160, 224, 168, 232, 161, 225, 165, 229)(162, 226, 181, 245, 183, 247, 180, 244)(166, 230, 185, 249, 169, 233, 186, 250)(167, 231, 187, 251, 176, 240, 184, 248)(172, 236, 190, 254, 179, 243, 189, 253)(178, 242, 188, 252, 192, 256, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 156)(11, 157)(12, 155)(13, 132)(14, 158)(15, 154)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 169)(23, 166)(24, 136)(25, 173)(26, 137)(27, 176)(28, 178)(29, 177)(30, 139)(31, 141)(32, 142)(33, 143)(34, 144)(35, 182)(36, 146)(37, 184)(38, 147)(39, 188)(40, 187)(41, 149)(42, 150)(43, 151)(44, 152)(45, 185)(46, 189)(47, 190)(48, 191)(49, 186)(50, 162)(51, 159)(52, 160)(53, 161)(54, 192)(55, 164)(56, 175)(57, 181)(58, 180)(59, 174)(60, 172)(61, 170)(62, 171)(63, 179)(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) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1436
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1438 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1^-1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, Y1^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 40, 104, 54, 118, 50, 114, 29, 93, 11, 75)(5, 69, 15, 79, 18, 82, 38, 102, 55, 119, 52, 116, 32, 96, 16, 80)(7, 71, 20, 84, 37, 101, 58, 122, 53, 117, 34, 98, 14, 78, 22, 86)(8, 72, 23, 87, 36, 100, 56, 120, 51, 115, 31, 95, 12, 76, 24, 88)(10, 74, 21, 85, 39, 103, 57, 121, 64, 128, 63, 127, 49, 113, 27, 91)(25, 89, 45, 109, 59, 123, 44, 108, 61, 125, 41, 105, 30, 94, 46, 110)(26, 90, 47, 111, 60, 124, 43, 107, 62, 126, 42, 106, 28, 92, 48, 112)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 160)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 141)(30, 139)(31, 175)(32, 177)(33, 181)(34, 173)(35, 182)(36, 185)(37, 145)(38, 187)(39, 147)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 159)(46, 186)(47, 162)(48, 184)(49, 157)(50, 189)(51, 161)(52, 190)(53, 191)(54, 192)(55, 163)(56, 174)(57, 165)(58, 176)(59, 168)(60, 166)(61, 180)(62, 178)(63, 179)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1435
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1439 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 11>)
Aut   = $<128, 388>$ (small group id <128, 388>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1, Y1^3 * Y3^2 * Y1, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 16, 80, 5, 69, 15, 79, 29, 93, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 43, 107, 22, 86)(12, 76, 31, 95, 51, 115, 34, 98, 14, 78, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 57, 121, 36, 100)(26, 90, 41, 105, 54, 118, 48, 112, 27, 91, 40, 104, 55, 119, 47, 111)(28, 92, 44, 108, 56, 120, 50, 114, 30, 94, 42, 106, 58, 122, 49, 113)(45, 109, 59, 123, 63, 127, 62, 126, 46, 110, 60, 124, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 156)(12, 145)(13, 147)(14, 132)(15, 155)(16, 158)(17, 142)(18, 141)(19, 134)(20, 168)(21, 136)(22, 170)(23, 169)(24, 172)(25, 173)(26, 143)(27, 137)(28, 144)(29, 174)(30, 139)(31, 176)(32, 178)(33, 175)(34, 177)(35, 182)(36, 184)(37, 183)(38, 186)(39, 187)(40, 151)(41, 148)(42, 152)(43, 188)(44, 150)(45, 157)(46, 153)(47, 159)(48, 161)(49, 160)(50, 162)(51, 189)(52, 190)(53, 191)(54, 165)(55, 163)(56, 166)(57, 192)(58, 164)(59, 171)(60, 167)(61, 180)(62, 179)(63, 185)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1434
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1440 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^8, T2 * T1 * T2^-3 * T1 * T2^3 * T1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 34, 16, 5)(2, 7, 20, 39, 55, 44, 24, 8)(4, 12, 31, 49, 60, 48, 28, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 14, 32, 50, 59, 45, 26)(11, 29, 15, 33, 51, 61, 47, 30)(19, 37, 22, 42, 57, 63, 54, 38)(21, 40, 23, 43, 58, 64, 56, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 99, 92)(80, 84, 100, 95)(89, 104, 93, 101)(90, 107, 94, 106)(91, 109, 116, 111)(96, 105, 97, 102)(98, 114, 117, 115)(103, 118, 113, 120)(108, 121, 112, 122)(110, 119, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1444
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1441 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^-1 * T2^4 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 14, 28, 11, 27, 15, 26)(19, 29, 22, 32, 21, 31, 23, 30)(33, 41, 35, 44, 34, 43, 36, 42)(37, 45, 39, 48, 38, 47, 40, 46)(49, 57, 51, 60, 50, 59, 52, 58)(53, 61, 55, 64, 54, 63, 56, 62)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 80, 84)(89, 97, 91, 98)(90, 99, 92, 100)(93, 101, 95, 102)(94, 103, 96, 104)(105, 113, 107, 114)(106, 115, 108, 116)(109, 117, 111, 118)(110, 119, 112, 120)(121, 125, 123, 127)(122, 128, 124, 126)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1443
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1442 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2^3 * T1^-1 * T2^-1 * T1^-1, T2^-2 * T1^-1 * T2 * T1^-1 * T2^-1, T2^2 * T1 * T2^2 * T1^-1, T2 * T1^-2 * T2^-1 * T1^-2, T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T1^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 21, 43, 24, 17, 5)(2, 7, 22, 11, 31, 16, 26, 8)(4, 12, 29, 9, 28, 15, 30, 14)(6, 19, 39, 23, 44, 25, 42, 20)(13, 27, 46, 32, 47, 35, 48, 34)(18, 37, 54, 40, 58, 41, 57, 38)(33, 49, 60, 45, 59, 51, 61, 50)(36, 52, 62, 55, 64, 56, 63, 53)(65, 66, 70, 82, 100, 97, 77, 68)(67, 73, 91, 109, 116, 104, 83, 75)(69, 79, 98, 115, 117, 105, 84, 80)(71, 85, 76, 96, 113, 119, 101, 87)(72, 88, 78, 99, 114, 120, 102, 89)(74, 90, 103, 121, 126, 125, 110, 94)(81, 86, 106, 118, 127, 124, 112, 93)(92, 107, 95, 108, 122, 128, 123, 111)
	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 ) }
Outer automorphisms :: reflexible
Dual of E17.1445
Transitivity :: ET+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1443 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^8, T2 * T1 * T2^-3 * T1 * T2^3 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 55, 119, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 31, 95, 49, 113, 60, 124, 48, 112, 28, 92, 13, 77)(6, 70, 17, 81, 35, 99, 52, 116, 62, 126, 53, 117, 36, 100, 18, 82)(9, 73, 25, 89, 14, 78, 32, 96, 50, 114, 59, 123, 45, 109, 26, 90)(11, 75, 29, 93, 15, 79, 33, 97, 51, 115, 61, 125, 47, 111, 30, 94)(19, 83, 37, 101, 22, 86, 42, 106, 57, 121, 63, 127, 54, 118, 38, 102)(21, 85, 40, 104, 23, 87, 43, 107, 58, 122, 64, 128, 56, 120, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 88)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 84)(17, 75)(18, 79)(19, 76)(20, 100)(21, 71)(22, 77)(23, 72)(24, 99)(25, 104)(26, 107)(27, 109)(28, 74)(29, 101)(30, 106)(31, 80)(32, 105)(33, 102)(34, 114)(35, 92)(36, 95)(37, 89)(38, 96)(39, 118)(40, 93)(41, 97)(42, 90)(43, 94)(44, 121)(45, 116)(46, 119)(47, 91)(48, 122)(49, 120)(50, 117)(51, 98)(52, 111)(53, 115)(54, 113)(55, 126)(56, 103)(57, 112)(58, 108)(59, 128)(60, 110)(61, 127)(62, 124)(63, 123)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1441
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1444 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2^-1 * T1^-2, T1^-1 * T2^4 * T1^-1, T2^2 * T1^-1 * T2^-2 * T1^-1, (T2^-1 * T1)^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 14, 78, 28, 92, 11, 75, 27, 91, 15, 79, 26, 90)(19, 83, 29, 93, 22, 86, 32, 96, 21, 85, 31, 95, 23, 87, 30, 94)(33, 97, 41, 105, 35, 99, 44, 108, 34, 98, 43, 107, 36, 100, 42, 106)(37, 101, 45, 109, 39, 103, 48, 112, 38, 102, 47, 111, 40, 104, 46, 110)(49, 113, 57, 121, 51, 115, 60, 124, 50, 114, 59, 123, 52, 116, 58, 122)(53, 117, 61, 125, 55, 119, 64, 128, 54, 118, 63, 127, 56, 120, 62, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 88)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 84)(17, 75)(18, 79)(19, 76)(20, 74)(21, 71)(22, 77)(23, 72)(24, 80)(25, 97)(26, 99)(27, 98)(28, 100)(29, 101)(30, 103)(31, 102)(32, 104)(33, 91)(34, 89)(35, 92)(36, 90)(37, 95)(38, 93)(39, 96)(40, 94)(41, 113)(42, 115)(43, 114)(44, 116)(45, 117)(46, 119)(47, 118)(48, 120)(49, 107)(50, 105)(51, 108)(52, 106)(53, 111)(54, 109)(55, 112)(56, 110)(57, 125)(58, 128)(59, 127)(60, 126)(61, 123)(62, 122)(63, 121)(64, 124)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1440
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1445 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^-2 * T1^-1, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T1^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 28, 92, 14, 78)(6, 70, 18, 82, 38, 102, 19, 83)(9, 73, 26, 90, 15, 79, 27, 91)(11, 75, 29, 93, 16, 80, 30, 94)(13, 77, 25, 89, 46, 110, 33, 97)(17, 81, 36, 100, 54, 118, 37, 101)(20, 84, 41, 105, 23, 87, 42, 106)(22, 86, 43, 107, 24, 88, 44, 108)(31, 95, 48, 112, 34, 98, 47, 111)(32, 96, 49, 113, 61, 125, 50, 114)(35, 99, 52, 116, 62, 126, 53, 117)(39, 103, 57, 121, 40, 104, 58, 122)(45, 109, 59, 123, 51, 115, 60, 124)(55, 119, 63, 127, 56, 120, 64, 128)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 85)(11, 67)(12, 95)(13, 68)(14, 98)(15, 97)(16, 69)(17, 99)(18, 75)(19, 80)(20, 76)(21, 102)(22, 71)(23, 78)(24, 72)(25, 109)(26, 106)(27, 105)(28, 74)(29, 108)(30, 107)(31, 113)(32, 77)(33, 115)(34, 114)(35, 96)(36, 86)(37, 88)(38, 118)(39, 82)(40, 83)(41, 94)(42, 93)(43, 122)(44, 121)(45, 116)(46, 92)(47, 90)(48, 91)(49, 119)(50, 120)(51, 117)(52, 103)(53, 104)(54, 126)(55, 100)(56, 101)(57, 128)(58, 127)(59, 111)(60, 112)(61, 110)(62, 125)(63, 124)(64, 123)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1442
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1446 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3^-2 * Y1, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y3^-1 * Y2^-3 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 24, 88, 35, 99, 28, 92)(16, 80, 20, 84, 36, 100, 31, 95)(25, 89, 40, 104, 29, 93, 37, 101)(26, 90, 43, 107, 30, 94, 42, 106)(27, 91, 45, 109, 52, 116, 47, 111)(32, 96, 41, 105, 33, 97, 38, 102)(34, 98, 50, 114, 53, 117, 51, 115)(39, 103, 54, 118, 49, 113, 56, 120)(44, 108, 57, 121, 48, 112, 58, 122)(46, 110, 55, 119, 62, 126, 60, 124)(59, 123, 64, 128, 61, 125, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 183, 247, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 177, 241, 188, 252, 176, 240, 156, 220, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 142, 206, 160, 224, 178, 242, 187, 251, 173, 237, 154, 218)(139, 203, 157, 221, 143, 207, 161, 225, 179, 243, 189, 253, 175, 239, 158, 222)(147, 211, 165, 229, 150, 214, 170, 234, 185, 249, 191, 255, 182, 246, 166, 230)(149, 213, 168, 232, 151, 215, 171, 235, 186, 250, 192, 256, 184, 248, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 144)(21, 140)(22, 136)(23, 141)(24, 138)(25, 165)(26, 170)(27, 175)(28, 163)(29, 168)(30, 171)(31, 164)(32, 166)(33, 169)(34, 179)(35, 152)(36, 148)(37, 157)(38, 161)(39, 184)(40, 153)(41, 160)(42, 158)(43, 154)(44, 186)(45, 155)(46, 188)(47, 180)(48, 185)(49, 182)(50, 162)(51, 181)(52, 173)(53, 178)(54, 167)(55, 174)(56, 177)(57, 172)(58, 176)(59, 191)(60, 190)(61, 192)(62, 183)(63, 189)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1451
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1447 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y3 * Y1, Y1^2 * Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1^-2 * Y2 * Y1^-2, (R * Y2 * Y3^-1)^2, Y3 * Y2^4 * Y1^-1, Y2^-1 * Y3 * Y2^2 * Y1^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^2 * Y3 * Y2^-2 * Y1^-1, Y3 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 24, 88, 16, 80, 20, 84)(25, 89, 33, 97, 27, 91, 34, 98)(26, 90, 35, 99, 28, 92, 36, 100)(29, 93, 37, 101, 31, 95, 38, 102)(30, 94, 39, 103, 32, 96, 40, 104)(41, 105, 49, 113, 43, 107, 50, 114)(42, 106, 51, 115, 44, 108, 52, 116)(45, 109, 53, 117, 47, 111, 54, 118)(46, 110, 55, 119, 48, 112, 56, 120)(57, 121, 61, 125, 59, 123, 63, 127)(58, 122, 64, 128, 60, 124, 62, 126)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 142, 206, 156, 220, 139, 203, 155, 219, 143, 207, 154, 218)(147, 211, 157, 221, 150, 214, 160, 224, 149, 213, 159, 223, 151, 215, 158, 222)(161, 225, 169, 233, 163, 227, 172, 236, 162, 226, 171, 235, 164, 228, 170, 234)(165, 229, 173, 237, 167, 231, 176, 240, 166, 230, 175, 239, 168, 232, 174, 238)(177, 241, 185, 249, 179, 243, 188, 252, 178, 242, 187, 251, 180, 244, 186, 250)(181, 245, 189, 253, 183, 247, 192, 256, 182, 246, 191, 255, 184, 248, 190, 254)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 152)(17, 137)(18, 142)(19, 135)(20, 144)(21, 140)(22, 136)(23, 141)(24, 138)(25, 162)(26, 164)(27, 161)(28, 163)(29, 166)(30, 168)(31, 165)(32, 167)(33, 153)(34, 155)(35, 154)(36, 156)(37, 157)(38, 159)(39, 158)(40, 160)(41, 178)(42, 180)(43, 177)(44, 179)(45, 182)(46, 184)(47, 181)(48, 183)(49, 169)(50, 171)(51, 170)(52, 172)(53, 173)(54, 175)(55, 174)(56, 176)(57, 191)(58, 190)(59, 189)(60, 192)(61, 185)(62, 188)(63, 187)(64, 186)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 16, 2, 16, 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1450
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1448 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, Y2^3 * Y1 * Y2^-1 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2, Y1^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1, Y1^8, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 36, 100, 33, 97, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 45, 109, 52, 116, 40, 104, 19, 83, 11, 75)(5, 69, 15, 79, 34, 98, 51, 115, 53, 117, 41, 105, 20, 84, 16, 80)(7, 71, 21, 85, 12, 76, 32, 96, 49, 113, 55, 119, 37, 101, 23, 87)(8, 72, 24, 88, 14, 78, 35, 99, 50, 114, 56, 120, 38, 102, 25, 89)(10, 74, 26, 90, 39, 103, 57, 121, 62, 126, 61, 125, 46, 110, 30, 94)(17, 81, 22, 86, 42, 106, 54, 118, 63, 127, 60, 124, 48, 112, 29, 93)(28, 92, 43, 107, 31, 95, 44, 108, 58, 122, 64, 128, 59, 123, 47, 111)(129, 193, 131, 195, 138, 202, 149, 213, 171, 235, 152, 216, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 139, 203, 159, 223, 144, 208, 154, 218, 136, 200)(132, 196, 140, 204, 157, 221, 137, 201, 156, 220, 143, 207, 158, 222, 142, 206)(134, 198, 147, 211, 167, 231, 151, 215, 172, 236, 153, 217, 170, 234, 148, 212)(141, 205, 155, 219, 174, 238, 160, 224, 175, 239, 163, 227, 176, 240, 162, 226)(146, 210, 165, 229, 182, 246, 168, 232, 186, 250, 169, 233, 185, 249, 166, 230)(161, 225, 177, 241, 188, 252, 173, 237, 187, 251, 179, 243, 189, 253, 178, 242)(164, 228, 180, 244, 190, 254, 183, 247, 192, 256, 184, 248, 191, 255, 181, 245)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 156)(10, 149)(11, 159)(12, 157)(13, 155)(14, 132)(15, 158)(16, 154)(17, 133)(18, 165)(19, 167)(20, 134)(21, 171)(22, 139)(23, 172)(24, 145)(25, 170)(26, 136)(27, 174)(28, 143)(29, 137)(30, 142)(31, 144)(32, 175)(33, 177)(34, 141)(35, 176)(36, 180)(37, 182)(38, 146)(39, 151)(40, 186)(41, 185)(42, 148)(43, 152)(44, 153)(45, 187)(46, 160)(47, 163)(48, 162)(49, 188)(50, 161)(51, 189)(52, 190)(53, 164)(54, 168)(55, 192)(56, 191)(57, 166)(58, 169)(59, 179)(60, 173)(61, 178)(62, 183)(63, 181)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1449
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1449 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, Y3^8, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^8 ]
Map::
	R = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)(129, 193, 130, 194, 134, 198, 132, 196)(131, 195, 137, 201, 145, 209, 139, 203)(133, 197, 142, 206, 146, 210, 143, 207)(135, 199, 147, 211, 140, 204, 149, 213)(136, 200, 150, 214, 141, 205, 151, 215)(138, 202, 152, 216, 163, 227, 156, 220)(144, 208, 148, 212, 164, 228, 159, 223)(153, 217, 168, 232, 157, 221, 165, 229)(154, 218, 171, 235, 158, 222, 170, 234)(155, 219, 173, 237, 180, 244, 175, 239)(160, 224, 169, 233, 161, 225, 166, 230)(162, 226, 178, 242, 181, 245, 179, 243)(167, 231, 182, 246, 177, 241, 184, 248)(172, 236, 185, 249, 176, 240, 186, 250)(174, 238, 183, 247, 190, 254, 188, 252)(187, 251, 192, 256, 189, 253, 191, 255)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 153)(10, 155)(11, 157)(12, 159)(13, 132)(14, 160)(15, 161)(16, 133)(17, 163)(18, 134)(19, 165)(20, 167)(21, 168)(22, 170)(23, 171)(24, 136)(25, 142)(26, 137)(27, 174)(28, 141)(29, 143)(30, 139)(31, 177)(32, 178)(33, 179)(34, 144)(35, 180)(36, 146)(37, 150)(38, 147)(39, 183)(40, 151)(41, 149)(42, 185)(43, 186)(44, 152)(45, 154)(46, 162)(47, 158)(48, 156)(49, 188)(50, 187)(51, 189)(52, 190)(53, 164)(54, 166)(55, 172)(56, 169)(57, 191)(58, 192)(59, 173)(60, 176)(61, 175)(62, 181)(63, 182)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1448
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1450 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1, Y1^8, (Y3 * Y2^-1)^4, (Y3^-1 * Y1)^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 52, 116, 39, 103, 18, 82, 11, 75)(5, 69, 15, 79, 33, 97, 51, 115, 53, 117, 40, 104, 19, 83, 16, 80)(7, 71, 20, 84, 12, 76, 31, 95, 49, 113, 55, 119, 36, 100, 22, 86)(8, 72, 23, 87, 14, 78, 34, 98, 50, 114, 56, 120, 37, 101, 24, 88)(10, 74, 21, 85, 38, 102, 54, 118, 62, 126, 61, 125, 46, 110, 28, 92)(26, 90, 42, 106, 29, 93, 44, 108, 57, 121, 64, 128, 59, 123, 47, 111)(27, 91, 41, 105, 30, 94, 43, 107, 58, 122, 63, 127, 60, 124, 48, 112)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 153)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 174)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 176)(32, 177)(33, 141)(34, 175)(35, 180)(36, 182)(37, 145)(38, 147)(39, 185)(40, 186)(41, 151)(42, 148)(43, 152)(44, 150)(45, 187)(46, 161)(47, 159)(48, 162)(49, 189)(50, 160)(51, 188)(52, 190)(53, 163)(54, 165)(55, 191)(56, 192)(57, 168)(58, 167)(59, 179)(60, 173)(61, 178)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1447
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1451 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 13>)
Aut   = $<128, 357>$ (small group id <128, 357>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3^-2 * Y1^-2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 16, 80, 5, 69, 15, 79, 18, 82, 11, 75)(7, 71, 20, 84, 12, 76, 24, 88, 8, 72, 23, 87, 14, 78, 22, 86)(25, 89, 33, 97, 27, 91, 36, 100, 26, 90, 35, 99, 28, 92, 34, 98)(29, 93, 37, 101, 31, 95, 40, 104, 30, 94, 39, 103, 32, 96, 38, 102)(41, 105, 49, 113, 43, 107, 52, 116, 42, 106, 51, 115, 44, 108, 50, 114)(45, 109, 53, 117, 47, 111, 56, 120, 46, 110, 55, 119, 48, 112, 54, 118)(57, 121, 61, 125, 59, 123, 63, 127, 58, 122, 62, 126, 60, 124, 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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 155)(12, 145)(13, 147)(14, 132)(15, 154)(16, 156)(17, 142)(18, 141)(19, 134)(20, 157)(21, 136)(22, 159)(23, 158)(24, 160)(25, 143)(26, 137)(27, 144)(28, 139)(29, 151)(30, 148)(31, 152)(32, 150)(33, 169)(34, 171)(35, 170)(36, 172)(37, 173)(38, 175)(39, 174)(40, 176)(41, 163)(42, 161)(43, 164)(44, 162)(45, 167)(46, 165)(47, 168)(48, 166)(49, 185)(50, 187)(51, 186)(52, 188)(53, 189)(54, 191)(55, 190)(56, 192)(57, 179)(58, 177)(59, 180)(60, 178)(61, 183)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1446
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1452 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 14>)
Aut   = $<128, 356>$ (small group id <128, 356>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 48, 34, 16, 5)(2, 7, 20, 39, 59, 44, 24, 8)(4, 12, 31, 51, 63, 50, 28, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 14, 32, 52, 56, 47, 26)(11, 29, 15, 33, 53, 57, 49, 30)(19, 37, 22, 42, 61, 46, 58, 38)(21, 40, 23, 43, 62, 45, 60, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 99, 92)(80, 84, 100, 95)(89, 109, 93, 110)(90, 105, 94, 102)(91, 111, 118, 113)(96, 107, 97, 106)(98, 116, 119, 117)(101, 120, 104, 121)(103, 122, 115, 124)(108, 125, 114, 126)(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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1453
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1453 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 14>)
Aut   = $<128, 356>$ (small group id <128, 356>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^2 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 48, 112, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 59, 123, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 31, 95, 51, 115, 63, 127, 50, 114, 28, 92, 13, 77)(6, 70, 17, 81, 35, 99, 54, 118, 64, 128, 55, 119, 36, 100, 18, 82)(9, 73, 25, 89, 14, 78, 32, 96, 52, 116, 56, 120, 47, 111, 26, 90)(11, 75, 29, 93, 15, 79, 33, 97, 53, 117, 57, 121, 49, 113, 30, 94)(19, 83, 37, 101, 22, 86, 42, 106, 61, 125, 46, 110, 58, 122, 38, 102)(21, 85, 40, 104, 23, 87, 43, 107, 62, 126, 45, 109, 60, 124, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 88)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 84)(17, 75)(18, 79)(19, 76)(20, 100)(21, 71)(22, 77)(23, 72)(24, 99)(25, 109)(26, 105)(27, 111)(28, 74)(29, 110)(30, 102)(31, 80)(32, 107)(33, 106)(34, 116)(35, 92)(36, 95)(37, 120)(38, 90)(39, 122)(40, 121)(41, 94)(42, 96)(43, 97)(44, 125)(45, 93)(46, 89)(47, 118)(48, 123)(49, 91)(50, 126)(51, 124)(52, 119)(53, 98)(54, 113)(55, 117)(56, 104)(57, 101)(58, 115)(59, 128)(60, 103)(61, 114)(62, 108)(63, 112)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1452
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1454 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 14>)
Aut   = $<128, 356>$ (small group id <128, 356>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y3^-2 * Y1^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y3^2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2^8, (Y3 * Y2)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 24, 88, 35, 99, 28, 92)(16, 80, 20, 84, 36, 100, 31, 95)(25, 89, 45, 109, 29, 93, 46, 110)(26, 90, 41, 105, 30, 94, 38, 102)(27, 91, 47, 111, 54, 118, 49, 113)(32, 96, 43, 107, 33, 97, 42, 106)(34, 98, 52, 116, 55, 119, 53, 117)(37, 101, 56, 120, 40, 104, 57, 121)(39, 103, 58, 122, 51, 115, 60, 124)(44, 108, 61, 125, 50, 114, 62, 126)(48, 112, 59, 123, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 187, 251, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 179, 243, 191, 255, 178, 242, 156, 220, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 142, 206, 160, 224, 180, 244, 184, 248, 175, 239, 154, 218)(139, 203, 157, 221, 143, 207, 161, 225, 181, 245, 185, 249, 177, 241, 158, 222)(147, 211, 165, 229, 150, 214, 170, 234, 189, 253, 174, 238, 186, 250, 166, 230)(149, 213, 168, 232, 151, 215, 171, 235, 190, 254, 173, 237, 188, 252, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 144)(21, 140)(22, 136)(23, 141)(24, 138)(25, 174)(26, 166)(27, 177)(28, 163)(29, 173)(30, 169)(31, 164)(32, 170)(33, 171)(34, 181)(35, 152)(36, 148)(37, 185)(38, 158)(39, 188)(40, 184)(41, 154)(42, 161)(43, 160)(44, 190)(45, 153)(46, 157)(47, 155)(48, 191)(49, 182)(50, 189)(51, 186)(52, 162)(53, 183)(54, 175)(55, 180)(56, 165)(57, 168)(58, 167)(59, 176)(60, 179)(61, 172)(62, 178)(63, 192)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1455
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1455 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 x C2) . ((C4 x C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 14>)
Aut   = $<128, 356>$ (small group id <128, 356>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^-2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, Y1^8 ]
Map:: polytopal
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 54, 118, 39, 103, 18, 82, 11, 75)(5, 69, 15, 79, 33, 97, 53, 117, 55, 119, 40, 104, 19, 83, 16, 80)(7, 71, 20, 84, 12, 76, 31, 95, 51, 115, 57, 121, 36, 100, 22, 86)(8, 72, 23, 87, 14, 78, 34, 98, 52, 116, 58, 122, 37, 101, 24, 88)(10, 74, 21, 85, 38, 102, 56, 120, 64, 128, 63, 127, 46, 110, 28, 92)(26, 90, 47, 111, 29, 93, 49, 113, 59, 123, 42, 106, 62, 126, 44, 108)(27, 91, 48, 112, 30, 94, 50, 114, 60, 124, 41, 105, 61, 125, 43, 107)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 153)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 174)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 178)(32, 179)(33, 141)(34, 177)(35, 182)(36, 184)(37, 145)(38, 147)(39, 187)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 190)(46, 161)(47, 185)(48, 186)(49, 159)(50, 162)(51, 191)(52, 160)(53, 189)(54, 192)(55, 163)(56, 165)(57, 176)(58, 175)(59, 168)(60, 167)(61, 173)(62, 181)(63, 180)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1454
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1456 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C4 (small group id <64, 17>)
Aut   = $<128, 743>$ (small group id <128, 743>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^8, T2^-3 * T1^-2 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 46, 34, 16, 5)(2, 7, 20, 39, 55, 44, 24, 8)(4, 12, 28, 48, 60, 49, 31, 13)(6, 17, 35, 52, 62, 53, 36, 18)(9, 25, 45, 59, 50, 32, 14, 26)(11, 29, 47, 61, 51, 33, 15, 30)(19, 37, 54, 63, 57, 42, 22, 38)(21, 40, 56, 64, 58, 43, 23, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 84, 99, 92)(80, 88, 100, 95)(89, 101, 93, 104)(90, 102, 94, 105)(91, 109, 116, 111)(96, 106, 97, 107)(98, 114, 117, 115)(103, 118, 112, 120)(108, 121, 113, 122)(110, 119, 126, 124)(123, 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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1457
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1457 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C4 (small group id <64, 17>)
Aut   = $<128, 743>$ (small group id <128, 743>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1, T2^8, T2^-3 * T1^-2 * T2^-2 * T1^-1 * T2^-2 * T1^-1 * T2^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 46, 110, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 55, 119, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 48, 112, 60, 124, 49, 113, 31, 95, 13, 77)(6, 70, 17, 81, 35, 99, 52, 116, 62, 126, 53, 117, 36, 100, 18, 82)(9, 73, 25, 89, 45, 109, 59, 123, 50, 114, 32, 96, 14, 78, 26, 90)(11, 75, 29, 93, 47, 111, 61, 125, 51, 115, 33, 97, 15, 79, 30, 94)(19, 83, 37, 101, 54, 118, 63, 127, 57, 121, 42, 106, 22, 86, 38, 102)(21, 85, 40, 104, 56, 120, 64, 128, 58, 122, 43, 107, 23, 87, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 84)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 88)(17, 75)(18, 79)(19, 76)(20, 99)(21, 71)(22, 77)(23, 72)(24, 100)(25, 101)(26, 102)(27, 109)(28, 74)(29, 104)(30, 105)(31, 80)(32, 106)(33, 107)(34, 114)(35, 92)(36, 95)(37, 93)(38, 94)(39, 118)(40, 89)(41, 90)(42, 97)(43, 96)(44, 121)(45, 116)(46, 119)(47, 91)(48, 120)(49, 122)(50, 117)(51, 98)(52, 111)(53, 115)(54, 112)(55, 126)(56, 103)(57, 113)(58, 108)(59, 127)(60, 110)(61, 128)(62, 124)(63, 125)(64, 123)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1456
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1458 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 17>)
Aut   = $<128, 743>$ (small group id <128, 743>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1^-2 * Y2^-1 * Y1^-2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1, Y2^-1 * Y3 * Y2^2 * Y3^-1 * Y2^-1, Y2^8, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 20, 84, 35, 99, 28, 92)(16, 80, 24, 88, 36, 100, 31, 95)(25, 89, 37, 101, 29, 93, 40, 104)(26, 90, 38, 102, 30, 94, 41, 105)(27, 91, 45, 109, 52, 116, 47, 111)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 50, 114, 53, 117, 51, 115)(39, 103, 54, 118, 48, 112, 56, 120)(44, 108, 57, 121, 49, 113, 58, 122)(46, 110, 55, 119, 62, 126, 60, 124)(59, 123, 63, 127, 61, 125, 64, 128)(129, 193, 131, 195, 138, 202, 155, 219, 174, 238, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 183, 247, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 176, 240, 188, 252, 177, 241, 159, 223, 141, 205)(134, 198, 145, 209, 163, 227, 180, 244, 190, 254, 181, 245, 164, 228, 146, 210)(137, 201, 153, 217, 173, 237, 187, 251, 178, 242, 160, 224, 142, 206, 154, 218)(139, 203, 157, 221, 175, 239, 189, 253, 179, 243, 161, 225, 143, 207, 158, 222)(147, 211, 165, 229, 182, 246, 191, 255, 185, 249, 170, 234, 150, 214, 166, 230)(149, 213, 168, 232, 184, 248, 192, 256, 186, 250, 171, 235, 151, 215, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 138)(21, 140)(22, 136)(23, 141)(24, 144)(25, 168)(26, 169)(27, 175)(28, 163)(29, 165)(30, 166)(31, 164)(32, 171)(33, 170)(34, 179)(35, 148)(36, 152)(37, 153)(38, 154)(39, 184)(40, 157)(41, 158)(42, 160)(43, 161)(44, 186)(45, 155)(46, 188)(47, 180)(48, 182)(49, 185)(50, 162)(51, 181)(52, 173)(53, 178)(54, 167)(55, 174)(56, 176)(57, 172)(58, 177)(59, 192)(60, 190)(61, 191)(62, 183)(63, 187)(64, 189)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 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 E17.1459
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1459 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 17>)
Aut   = $<128, 743>$ (small group id <128, 743>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3^-2 * Y1^-1 * Y3, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^-1 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y1^8, (Y1^-1 * Y3^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 38, 102, 52, 116, 47, 111, 29, 93, 11, 75)(5, 69, 15, 79, 19, 83, 40, 104, 53, 117, 51, 115, 33, 97, 16, 80)(7, 71, 20, 84, 36, 100, 54, 118, 49, 113, 31, 95, 12, 76, 22, 86)(8, 72, 23, 87, 37, 101, 56, 120, 50, 114, 34, 98, 14, 78, 24, 88)(10, 74, 21, 85, 39, 103, 55, 119, 62, 126, 59, 123, 45, 109, 27, 91)(25, 89, 41, 105, 57, 121, 63, 127, 60, 124, 46, 110, 28, 92, 43, 107)(26, 90, 42, 106, 58, 122, 64, 128, 61, 125, 48, 112, 30, 94, 44, 108)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 156)(12, 155)(13, 157)(14, 132)(15, 154)(16, 158)(17, 164)(18, 167)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 143)(26, 137)(27, 142)(28, 144)(29, 173)(30, 139)(31, 174)(32, 177)(33, 141)(34, 176)(35, 180)(36, 183)(37, 145)(38, 185)(39, 147)(40, 186)(41, 151)(42, 148)(43, 152)(44, 150)(45, 161)(46, 162)(47, 188)(48, 159)(49, 187)(50, 160)(51, 189)(52, 190)(53, 163)(54, 191)(55, 165)(56, 192)(57, 168)(58, 166)(59, 178)(60, 179)(61, 175)(62, 181)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1458
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1460 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 : C2) : C4 (small group id <64, 24>)
Aut   = $<128, 738>$ (small group id <128, 738>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^2 * T1^-1, (T1^-1, T2)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 27, 48, 34, 16, 5)(2, 7, 20, 39, 59, 44, 24, 8)(4, 12, 31, 51, 63, 50, 28, 13)(6, 17, 35, 54, 64, 55, 36, 18)(9, 25, 14, 32, 52, 57, 47, 26)(11, 29, 15, 33, 53, 56, 49, 30)(19, 37, 22, 42, 61, 45, 58, 38)(21, 40, 23, 43, 62, 46, 60, 41)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 88, 99, 92)(80, 84, 100, 95)(89, 109, 93, 110)(90, 102, 94, 105)(91, 111, 118, 113)(96, 106, 97, 107)(98, 116, 119, 117)(101, 120, 104, 121)(103, 122, 115, 124)(108, 125, 114, 126)(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) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1461
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1461 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 : C2) : C4 (small group id <64, 24>)
Aut   = $<128, 738>$ (small group id <128, 738>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2^2 * T1 * T2^2 * T1^-1, (T1^-1, T2)^2, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T2^8, (T2^-1 * T1^-1)^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 27, 91, 48, 112, 34, 98, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 39, 103, 59, 123, 44, 108, 24, 88, 8, 72)(4, 68, 12, 76, 31, 95, 51, 115, 63, 127, 50, 114, 28, 92, 13, 77)(6, 70, 17, 81, 35, 99, 54, 118, 64, 128, 55, 119, 36, 100, 18, 82)(9, 73, 25, 89, 14, 78, 32, 96, 52, 116, 57, 121, 47, 111, 26, 90)(11, 75, 29, 93, 15, 79, 33, 97, 53, 117, 56, 120, 49, 113, 30, 94)(19, 83, 37, 101, 22, 86, 42, 106, 61, 125, 45, 109, 58, 122, 38, 102)(21, 85, 40, 104, 23, 87, 43, 107, 62, 126, 46, 110, 60, 124, 41, 105)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 88)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 84)(17, 75)(18, 79)(19, 76)(20, 100)(21, 71)(22, 77)(23, 72)(24, 99)(25, 109)(26, 102)(27, 111)(28, 74)(29, 110)(30, 105)(31, 80)(32, 106)(33, 107)(34, 116)(35, 92)(36, 95)(37, 120)(38, 94)(39, 122)(40, 121)(41, 90)(42, 97)(43, 96)(44, 125)(45, 93)(46, 89)(47, 118)(48, 123)(49, 91)(50, 126)(51, 124)(52, 119)(53, 98)(54, 113)(55, 117)(56, 104)(57, 101)(58, 115)(59, 128)(60, 103)(61, 114)(62, 108)(63, 112)(64, 127)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1460
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1462 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C4 (small group id <64, 24>)
Aut   = $<128, 738>$ (small group id <128, 738>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1, Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y2^2 * Y1 * Y2^2 * Y1^-1, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2 * Y1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2^8, (Y3 * Y2)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 24, 88, 35, 99, 28, 92)(16, 80, 20, 84, 36, 100, 31, 95)(25, 89, 45, 109, 29, 93, 46, 110)(26, 90, 38, 102, 30, 94, 41, 105)(27, 91, 47, 111, 54, 118, 49, 113)(32, 96, 42, 106, 33, 97, 43, 107)(34, 98, 52, 116, 55, 119, 53, 117)(37, 101, 56, 120, 40, 104, 57, 121)(39, 103, 58, 122, 51, 115, 60, 124)(44, 108, 61, 125, 50, 114, 62, 126)(48, 112, 59, 123, 64, 128, 63, 127)(129, 193, 131, 195, 138, 202, 155, 219, 176, 240, 162, 226, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 167, 231, 187, 251, 172, 236, 152, 216, 136, 200)(132, 196, 140, 204, 159, 223, 179, 243, 191, 255, 178, 242, 156, 220, 141, 205)(134, 198, 145, 209, 163, 227, 182, 246, 192, 256, 183, 247, 164, 228, 146, 210)(137, 201, 153, 217, 142, 206, 160, 224, 180, 244, 185, 249, 175, 239, 154, 218)(139, 203, 157, 221, 143, 207, 161, 225, 181, 245, 184, 248, 177, 241, 158, 222)(147, 211, 165, 229, 150, 214, 170, 234, 189, 253, 173, 237, 186, 250, 166, 230)(149, 213, 168, 232, 151, 215, 171, 235, 190, 254, 174, 238, 188, 252, 169, 233)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 159)(17, 137)(18, 142)(19, 135)(20, 144)(21, 140)(22, 136)(23, 141)(24, 138)(25, 174)(26, 169)(27, 177)(28, 163)(29, 173)(30, 166)(31, 164)(32, 171)(33, 170)(34, 181)(35, 152)(36, 148)(37, 185)(38, 154)(39, 188)(40, 184)(41, 158)(42, 160)(43, 161)(44, 190)(45, 153)(46, 157)(47, 155)(48, 191)(49, 182)(50, 189)(51, 186)(52, 162)(53, 183)(54, 175)(55, 180)(56, 165)(57, 168)(58, 167)(59, 176)(60, 179)(61, 172)(62, 178)(63, 192)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1463
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1463 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 : C2) : C4 (small group id <64, 24>)
Aut   = $<128, 738>$ (small group id <128, 738>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y1^-1 * Y3^2 * Y1 * Y3^-2, (Y1, Y3)^2, Y1^8, (Y3 * Y2^-1)^4, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 35, 99, 32, 96, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 45, 109, 54, 118, 39, 103, 18, 82, 11, 75)(5, 69, 15, 79, 33, 97, 53, 117, 55, 119, 40, 104, 19, 83, 16, 80)(7, 71, 20, 84, 12, 76, 31, 95, 51, 115, 57, 121, 36, 100, 22, 86)(8, 72, 23, 87, 14, 78, 34, 98, 52, 116, 58, 122, 37, 101, 24, 88)(10, 74, 21, 85, 38, 102, 56, 120, 64, 128, 63, 127, 46, 110, 28, 92)(26, 90, 47, 111, 29, 93, 49, 113, 59, 123, 41, 105, 61, 125, 43, 107)(27, 91, 48, 112, 30, 94, 50, 114, 60, 124, 42, 106, 62, 126, 44, 108)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 157)(12, 156)(13, 153)(14, 132)(15, 155)(16, 158)(17, 164)(18, 166)(19, 134)(20, 169)(21, 136)(22, 171)(23, 170)(24, 172)(25, 174)(26, 143)(27, 137)(28, 142)(29, 144)(30, 139)(31, 177)(32, 179)(33, 141)(34, 178)(35, 182)(36, 184)(37, 145)(38, 147)(39, 187)(40, 188)(41, 151)(42, 148)(43, 152)(44, 150)(45, 189)(46, 161)(47, 186)(48, 185)(49, 162)(50, 159)(51, 191)(52, 160)(53, 190)(54, 192)(55, 163)(56, 165)(57, 175)(58, 176)(59, 168)(60, 167)(61, 181)(62, 173)(63, 180)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1462
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1464 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^2 * T1 * T2, T2^2 * T1 * T2^2 * T1^-1, T2^-2 * T1^-1 * T2^-2 * T1, T2^2 * T1 * T2^2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-2, T2^8, (T2^-1, T1^-1)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 33, 53, 63, 47, 29, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 14, 38, 43, 62, 45, 27)(11, 30, 15, 39, 41, 61, 44, 31)(19, 48, 22, 54, 34, 60, 36, 49)(21, 51, 23, 55, 32, 58, 35, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 88, 106, 93)(76, 96, 120, 98)(77, 99, 114, 100)(80, 84, 110, 97)(81, 105, 104, 107)(82, 108, 92, 109)(90, 112, 125, 122)(91, 118, 103, 116)(94, 115, 126, 124)(95, 119, 102, 113)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1468
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1465 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1 * T2^2 * T1^-1 * T2^-2, (T2^-1, T1^-1)^2, T2^3 * T1^2 * T2 * T1^2, (T2^-1 * T1^-1 * T2 * T1^-1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 28, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 29, 53, 63, 47, 36, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 45, 62, 43, 38, 14, 27)(11, 30, 44, 61, 41, 39, 15, 31)(19, 48, 35, 58, 33, 54, 22, 49)(21, 51, 34, 60, 32, 55, 23, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 84, 106, 93)(76, 96, 120, 97)(77, 98, 114, 99)(80, 88, 110, 100)(81, 105, 104, 107)(82, 108, 92, 109)(90, 118, 103, 115)(91, 122, 125, 116)(94, 119, 102, 112)(95, 124, 126, 113)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1467
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1466 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T2 * T1^-2 * T2^-1 * T1^-2, T2^2 * T1 * T2^-2 * T1^-1, T2^3 * T1^2 * T2 * T1^-2, (T2, T1^-1)^2, (T2 * T1)^4, (T2^-1 * T1)^4, T1^8, T2^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 30, 42, 41, 17, 5)(2, 7, 22, 51, 35, 56, 26, 8)(4, 12, 31, 44, 18, 43, 38, 14)(6, 19, 45, 36, 13, 27, 48, 20)(9, 28, 47, 63, 46, 39, 15, 29)(11, 32, 59, 64, 57, 40, 16, 33)(21, 49, 62, 58, 61, 54, 24, 50)(23, 52, 37, 60, 34, 55, 25, 53)(65, 66, 70, 82, 106, 99, 77, 68)(67, 73, 91, 121, 105, 110, 83, 75)(69, 79, 100, 123, 94, 111, 84, 80)(71, 85, 76, 98, 120, 125, 107, 87)(72, 88, 78, 101, 115, 126, 108, 89)(74, 86, 109, 102, 81, 90, 112, 95)(92, 118, 96, 119, 103, 113, 104, 116)(93, 122, 97, 124, 127, 114, 128, 117)
	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 ) }
Outer automorphisms :: reflexible
Dual of E17.1469
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1467 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-1 * T2^2 * T1 * T2, T2^2 * T1 * T2^2 * T1^-1, T2^-2 * T1^-1 * T2^-2 * T1, T2^2 * T1 * T2^2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-2 * T1^-1 * T2 * T1^-2, T2^8, (T2^-1, T1^-1)^2, T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 33, 97, 53, 117, 63, 127, 47, 111, 29, 93, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 14, 78, 38, 102, 43, 107, 62, 126, 45, 109, 27, 91)(11, 75, 30, 94, 15, 79, 39, 103, 41, 105, 61, 125, 44, 108, 31, 95)(19, 83, 48, 112, 22, 86, 54, 118, 34, 98, 60, 124, 36, 100, 49, 113)(21, 85, 51, 115, 23, 87, 55, 119, 32, 96, 58, 122, 35, 99, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 88)(11, 67)(12, 96)(13, 99)(14, 101)(15, 69)(16, 84)(17, 105)(18, 108)(19, 111)(20, 110)(21, 71)(22, 117)(23, 72)(24, 106)(25, 75)(26, 112)(27, 118)(28, 109)(29, 74)(30, 115)(31, 119)(32, 120)(33, 80)(34, 76)(35, 114)(36, 77)(37, 79)(38, 113)(39, 116)(40, 107)(41, 104)(42, 93)(43, 81)(44, 92)(45, 82)(46, 97)(47, 85)(48, 125)(49, 95)(50, 100)(51, 126)(52, 91)(53, 87)(54, 103)(55, 102)(56, 98)(57, 127)(58, 90)(59, 128)(60, 94)(61, 122)(62, 124)(63, 123)(64, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1465
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1468 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1^-1 * T2^-1, T1 * T2^2 * T1^-1 * T2^-2, (T2^-1, T1^-1)^2, T2^3 * T1^2 * T2 * T1^2, (T2^-1 * T1^-1 * T2 * T1^-1)^2, T2^8, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 28, 92, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 29, 93, 53, 117, 63, 127, 47, 111, 36, 100, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 45, 109, 62, 126, 43, 107, 38, 102, 14, 78, 27, 91)(11, 75, 30, 94, 44, 108, 61, 125, 41, 105, 39, 103, 15, 79, 31, 95)(19, 83, 48, 112, 35, 99, 58, 122, 33, 97, 54, 118, 22, 86, 49, 113)(21, 85, 51, 115, 34, 98, 60, 124, 32, 96, 55, 119, 23, 87, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 84)(11, 67)(12, 96)(13, 98)(14, 101)(15, 69)(16, 88)(17, 105)(18, 108)(19, 111)(20, 106)(21, 71)(22, 117)(23, 72)(24, 110)(25, 75)(26, 118)(27, 122)(28, 109)(29, 74)(30, 119)(31, 124)(32, 120)(33, 76)(34, 114)(35, 77)(36, 80)(37, 79)(38, 112)(39, 115)(40, 107)(41, 104)(42, 93)(43, 81)(44, 92)(45, 82)(46, 100)(47, 85)(48, 94)(49, 95)(50, 99)(51, 90)(52, 91)(53, 87)(54, 103)(55, 102)(56, 97)(57, 127)(58, 125)(59, 128)(60, 126)(61, 116)(62, 113)(63, 123)(64, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1464
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1469 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, T2^4, (F * T2)^2, T2^-1 * T1^-2 * T2 * T1^-2, T2^-1 * T1^-2 * T2 * T1^-2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, T1^-2 * T2^2 * T1^-1 * T2^2 * T1^-1, T2 * T1^-2 * T2^2 * T1^2 * T2, T2^-2 * T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T1^8, (T2^-1, T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 65, 3, 67, 10, 74, 5, 69)(2, 66, 7, 71, 21, 85, 8, 72)(4, 68, 12, 76, 33, 97, 14, 78)(6, 70, 18, 82, 44, 108, 19, 83)(9, 73, 26, 90, 46, 110, 27, 91)(11, 75, 30, 94, 60, 124, 31, 95)(13, 77, 25, 89, 49, 113, 35, 99)(15, 79, 37, 101, 45, 109, 38, 102)(16, 80, 39, 103, 57, 121, 40, 104)(17, 81, 42, 106, 29, 93, 43, 107)(20, 84, 47, 111, 64, 128, 48, 112)(22, 86, 51, 115, 36, 100, 52, 116)(23, 87, 53, 117, 63, 127, 54, 118)(24, 88, 55, 119, 32, 96, 56, 120)(28, 92, 58, 122, 34, 98, 59, 123)(41, 105, 61, 125, 50, 114, 62, 126)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 79)(6, 81)(7, 84)(8, 87)(9, 89)(10, 92)(11, 67)(12, 96)(13, 68)(14, 100)(15, 99)(16, 69)(17, 105)(18, 75)(19, 80)(20, 76)(21, 113)(22, 71)(23, 78)(24, 72)(25, 121)(26, 111)(27, 117)(28, 108)(29, 74)(30, 115)(31, 119)(32, 123)(33, 114)(34, 77)(35, 124)(36, 122)(37, 112)(38, 118)(39, 116)(40, 120)(41, 98)(42, 86)(43, 88)(44, 97)(45, 82)(46, 83)(47, 94)(48, 103)(49, 93)(50, 85)(51, 102)(52, 91)(53, 95)(54, 104)(55, 101)(56, 90)(57, 125)(58, 128)(59, 127)(60, 126)(61, 109)(62, 110)(63, 106)(64, 107)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1466
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1470 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, (R * Y3)^2, Y3^-1 * Y1^3, (R * Y1)^2, Y2^2 * Y1^-1 * Y2^2 * Y3^-1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y3^-1 * Y1^-1 * Y2 * Y3, Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1 * Y3 * Y2^-1 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^-2 * Y3^-1 * Y2^-2 * Y1^-1, Y1 * Y2 * Y1^2 * Y2^3 * Y1, Y2 * Y3 * Y1^-1 * Y2 * Y3 * Y2^-2 * Y1^-1, Y2^2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2^3 * Y3^-1 * Y1, Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2, Y2^8, Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 37, 101, 15, 79)(7, 71, 19, 83, 47, 111, 21, 85)(8, 72, 22, 86, 53, 117, 23, 87)(10, 74, 24, 88, 42, 106, 29, 93)(12, 76, 32, 96, 56, 120, 34, 98)(13, 77, 35, 99, 50, 114, 36, 100)(16, 80, 20, 84, 46, 110, 33, 97)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 28, 92, 45, 109)(26, 90, 48, 112, 61, 125, 58, 122)(27, 91, 54, 118, 39, 103, 52, 116)(30, 94, 51, 115, 62, 126, 60, 124)(31, 95, 55, 119, 38, 102, 49, 113)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 161, 225, 181, 245, 191, 255, 175, 239, 157, 221, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 142, 206, 166, 230, 171, 235, 190, 254, 173, 237, 155, 219)(139, 203, 158, 222, 143, 207, 167, 231, 169, 233, 189, 253, 172, 236, 159, 223)(147, 211, 176, 240, 150, 214, 182, 246, 162, 226, 188, 252, 164, 228, 177, 241)(149, 213, 179, 243, 151, 215, 183, 247, 160, 224, 186, 250, 163, 227, 180, 244)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 157)(11, 153)(12, 162)(13, 164)(14, 133)(15, 165)(16, 161)(17, 171)(18, 173)(19, 135)(20, 144)(21, 175)(22, 136)(23, 181)(24, 138)(25, 137)(26, 186)(27, 180)(28, 172)(29, 170)(30, 188)(31, 177)(32, 140)(33, 174)(34, 184)(35, 141)(36, 178)(37, 142)(38, 183)(39, 182)(40, 169)(41, 145)(42, 152)(43, 168)(44, 146)(45, 156)(46, 148)(47, 147)(48, 154)(49, 166)(50, 163)(51, 158)(52, 167)(53, 150)(54, 155)(55, 159)(56, 160)(57, 192)(58, 189)(59, 191)(60, 190)(61, 176)(62, 179)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1475
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1471 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-2 * Y3 * Y1^-1, Y3 * Y1^-3, (R * Y1)^2, (R * Y3)^2, Y3 * Y2^-1 * Y3 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2, Y2 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^2 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, Y2^3 * Y3 * Y1^-1 * Y2 * Y3^-1 * Y1, Y1^-1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-2 * Y1^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1, Y2^-3 * Y3 * Y1^-1 * Y2^-1 * Y3^-1 * Y1, Y2 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2^8, Y3 * Y1 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 37, 101, 15, 79)(7, 71, 19, 83, 47, 111, 21, 85)(8, 72, 22, 86, 53, 117, 23, 87)(10, 74, 20, 84, 42, 106, 29, 93)(12, 76, 32, 96, 56, 120, 33, 97)(13, 77, 34, 98, 50, 114, 35, 99)(16, 80, 24, 88, 46, 110, 36, 100)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 28, 92, 45, 109)(26, 90, 54, 118, 39, 103, 51, 115)(27, 91, 58, 122, 61, 125, 52, 116)(30, 94, 55, 119, 38, 102, 48, 112)(31, 95, 60, 124, 62, 126, 49, 113)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 156, 220, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 157, 221, 181, 245, 191, 255, 175, 239, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 173, 237, 190, 254, 171, 235, 166, 230, 142, 206, 155, 219)(139, 203, 158, 222, 172, 236, 189, 253, 169, 233, 167, 231, 143, 207, 159, 223)(147, 211, 176, 240, 163, 227, 186, 250, 161, 225, 182, 246, 150, 214, 177, 241)(149, 213, 179, 243, 162, 226, 188, 252, 160, 224, 183, 247, 151, 215, 180, 244)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 157)(11, 153)(12, 161)(13, 163)(14, 133)(15, 165)(16, 164)(17, 171)(18, 173)(19, 135)(20, 138)(21, 175)(22, 136)(23, 181)(24, 144)(25, 137)(26, 179)(27, 180)(28, 172)(29, 170)(30, 176)(31, 177)(32, 140)(33, 184)(34, 141)(35, 178)(36, 174)(37, 142)(38, 183)(39, 182)(40, 169)(41, 145)(42, 148)(43, 168)(44, 146)(45, 156)(46, 152)(47, 147)(48, 166)(49, 190)(50, 162)(51, 167)(52, 189)(53, 150)(54, 154)(55, 158)(56, 160)(57, 192)(58, 155)(59, 191)(60, 159)(61, 186)(62, 188)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1474
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1472 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y1 * Y2^2 * Y1^-1 * Y2^-2, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-1, (Y2 * Y1)^4, Y1^-1 * Y2^2 * Y1^-3 * Y2^2, Y2^8, Y1^8, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 18, 82, 42, 106, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 27, 91, 57, 121, 41, 105, 46, 110, 19, 83, 11, 75)(5, 69, 15, 79, 36, 100, 59, 123, 30, 94, 47, 111, 20, 84, 16, 80)(7, 71, 21, 85, 12, 76, 34, 98, 56, 120, 61, 125, 43, 107, 23, 87)(8, 72, 24, 88, 14, 78, 37, 101, 51, 115, 62, 126, 44, 108, 25, 89)(10, 74, 22, 86, 45, 109, 38, 102, 17, 81, 26, 90, 48, 112, 31, 95)(28, 92, 54, 118, 32, 96, 55, 119, 39, 103, 49, 113, 40, 104, 52, 116)(29, 93, 58, 122, 33, 97, 60, 124, 63, 127, 50, 114, 64, 128, 53, 117)(129, 193, 131, 195, 138, 202, 158, 222, 170, 234, 169, 233, 145, 209, 133, 197)(130, 194, 135, 199, 150, 214, 179, 243, 163, 227, 184, 248, 154, 218, 136, 200)(132, 196, 140, 204, 159, 223, 172, 236, 146, 210, 171, 235, 166, 230, 142, 206)(134, 198, 147, 211, 173, 237, 164, 228, 141, 205, 155, 219, 176, 240, 148, 212)(137, 201, 156, 220, 175, 239, 191, 255, 174, 238, 167, 231, 143, 207, 157, 221)(139, 203, 160, 224, 187, 251, 192, 256, 185, 249, 168, 232, 144, 208, 161, 225)(149, 213, 177, 241, 190, 254, 186, 250, 189, 253, 182, 246, 152, 216, 178, 242)(151, 215, 180, 244, 165, 229, 188, 252, 162, 226, 183, 247, 153, 217, 181, 245)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 147)(7, 150)(8, 130)(9, 156)(10, 158)(11, 160)(12, 159)(13, 155)(14, 132)(15, 157)(16, 161)(17, 133)(18, 171)(19, 173)(20, 134)(21, 177)(22, 179)(23, 180)(24, 178)(25, 181)(26, 136)(27, 176)(28, 175)(29, 137)(30, 170)(31, 172)(32, 187)(33, 139)(34, 183)(35, 184)(36, 141)(37, 188)(38, 142)(39, 143)(40, 144)(41, 145)(42, 169)(43, 166)(44, 146)(45, 164)(46, 167)(47, 191)(48, 148)(49, 190)(50, 149)(51, 163)(52, 165)(53, 151)(54, 152)(55, 153)(56, 154)(57, 168)(58, 189)(59, 192)(60, 162)(61, 182)(62, 186)(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, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1473
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1473 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^-2 * Y2^-1 * Y3^-2 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1, Y2^-1)^2, Y2^-1 * Y3^-3 * Y2^2 * Y3^-1 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y2^-1 * Y3^-1 * Y2^-3 * Y3^-1 * Y2^-2 * Y3 * Y2^-1 * Y3 * Y2^-1, (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, 134, 198, 132, 196)(131, 195, 137, 201, 153, 217, 139, 203)(133, 197, 142, 206, 165, 229, 143, 207)(135, 199, 147, 211, 175, 239, 149, 213)(136, 200, 150, 214, 181, 245, 151, 215)(138, 202, 152, 216, 170, 234, 157, 221)(140, 204, 160, 224, 184, 248, 162, 226)(141, 205, 163, 227, 178, 242, 164, 228)(144, 208, 148, 212, 174, 238, 161, 225)(145, 209, 169, 233, 168, 232, 171, 235)(146, 210, 172, 236, 156, 220, 173, 237)(154, 218, 176, 240, 189, 253, 186, 250)(155, 219, 182, 246, 167, 231, 180, 244)(158, 222, 179, 243, 190, 254, 188, 252)(159, 223, 183, 247, 166, 230, 177, 241)(185, 249, 191, 255, 187, 251, 192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 145)(7, 148)(8, 130)(9, 154)(10, 156)(11, 158)(12, 161)(13, 132)(14, 166)(15, 167)(16, 133)(17, 170)(18, 134)(19, 176)(20, 178)(21, 179)(22, 182)(23, 183)(24, 136)(25, 174)(26, 142)(27, 137)(28, 187)(29, 141)(30, 143)(31, 139)(32, 186)(33, 181)(34, 188)(35, 180)(36, 177)(37, 185)(38, 171)(39, 169)(40, 144)(41, 189)(42, 165)(43, 190)(44, 159)(45, 155)(46, 146)(47, 157)(48, 150)(49, 147)(50, 192)(51, 151)(52, 149)(53, 191)(54, 162)(55, 160)(56, 152)(57, 153)(58, 163)(59, 168)(60, 164)(61, 172)(62, 173)(63, 175)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1472
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1474 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y1^-2 * Y3 * Y1^-2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1, (Y3 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3^-2 * Y1^3 * Y3, (Y3^-1, Y1^-1)^2, (Y3 * Y2^-1)^4, Y1^8, Y3^-3 * Y1^-1 * Y3^-4 * Y1 * Y3^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 34, 98, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 57, 121, 61, 125, 45, 109, 18, 82, 11, 75)(5, 69, 15, 79, 35, 99, 60, 124, 62, 126, 46, 110, 19, 83, 16, 80)(7, 71, 20, 84, 12, 76, 32, 96, 59, 123, 63, 127, 42, 106, 22, 86)(8, 72, 23, 87, 14, 78, 36, 100, 58, 122, 64, 128, 43, 107, 24, 88)(10, 74, 28, 92, 44, 108, 33, 97, 50, 114, 21, 85, 49, 113, 29, 93)(26, 90, 47, 111, 30, 94, 51, 115, 38, 102, 54, 118, 40, 104, 56, 120)(27, 91, 53, 117, 31, 95, 55, 119, 37, 101, 48, 112, 39, 103, 52, 116)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 158)(12, 161)(13, 153)(14, 132)(15, 165)(16, 167)(17, 170)(18, 172)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 177)(26, 174)(27, 137)(28, 186)(29, 171)(30, 188)(31, 139)(32, 184)(33, 142)(34, 187)(35, 141)(36, 180)(37, 173)(38, 143)(39, 185)(40, 144)(41, 189)(42, 157)(43, 145)(44, 147)(45, 166)(46, 155)(47, 192)(48, 148)(49, 163)(50, 190)(51, 164)(52, 150)(53, 191)(54, 151)(55, 160)(56, 152)(57, 168)(58, 162)(59, 156)(60, 159)(61, 178)(62, 169)(63, 182)(64, 176)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1471
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1475 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C8 x C2) : C4 (small group id <64, 25>)
Aut   = $<128, 740>$ (small group id <128, 740>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1^-1, (R * Y2 * Y3^-1)^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1, Y1^-2 * Y3^2 * Y1^-1 * Y3^2 * Y1^-1, Y3^-2 * Y1^-1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, (Y3^-1, Y1^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, Y1^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 34, 98, 13, 77, 4, 68)(3, 67, 9, 73, 18, 82, 44, 108, 61, 125, 60, 124, 30, 94, 11, 75)(5, 69, 15, 79, 19, 83, 46, 110, 62, 126, 57, 121, 35, 99, 16, 80)(7, 71, 20, 84, 42, 106, 63, 127, 59, 123, 33, 97, 12, 76, 22, 86)(8, 72, 23, 87, 43, 107, 64, 128, 58, 122, 36, 100, 14, 78, 24, 88)(10, 74, 27, 91, 45, 109, 32, 96, 50, 114, 21, 85, 49, 113, 28, 92)(25, 89, 54, 118, 40, 104, 51, 115, 38, 102, 47, 111, 29, 93, 56, 120)(26, 90, 48, 112, 39, 103, 55, 119, 37, 101, 53, 117, 31, 95, 52, 116)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 157)(12, 160)(13, 158)(14, 132)(15, 165)(16, 167)(17, 170)(18, 173)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 185)(26, 137)(27, 186)(28, 171)(29, 174)(30, 177)(31, 139)(32, 142)(33, 182)(34, 187)(35, 141)(36, 176)(37, 188)(38, 143)(39, 172)(40, 144)(41, 189)(42, 156)(43, 145)(44, 168)(45, 147)(46, 159)(47, 164)(48, 148)(49, 163)(50, 190)(51, 192)(52, 150)(53, 161)(54, 151)(55, 191)(56, 152)(57, 154)(58, 162)(59, 155)(60, 166)(61, 178)(62, 169)(63, 184)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1470
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1476 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^2, (T2^-2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1 * T2, (T1^-1, T2^-1, T1^-1), T2^8, (T1^-1 * T2^-1 * T1^2 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 33, 53, 63, 47, 28, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 15, 39, 43, 62, 44, 27)(11, 30, 14, 38, 41, 61, 45, 31)(19, 48, 23, 55, 34, 58, 35, 49)(21, 51, 22, 54, 32, 60, 36, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 106, 88)(76, 96, 120, 98)(77, 99, 114, 100)(80, 97, 110, 84)(81, 105, 104, 107)(82, 108, 93, 109)(90, 115, 125, 122)(91, 113, 102, 118)(94, 112, 126, 124)(95, 116, 103, 119)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1477
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1477 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^2, (T2^-2 * T1^-1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1 * T2, (T1^-1, T2^-1, T1^-1), T2^8, (T1^-1 * T2^-1 * T1^2 * T2 * T1^-1)^2 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 29, 93, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 33, 97, 53, 117, 63, 127, 47, 111, 28, 92, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 15, 79, 39, 103, 43, 107, 62, 126, 44, 108, 27, 91)(11, 75, 30, 94, 14, 78, 38, 102, 41, 105, 61, 125, 45, 109, 31, 95)(19, 83, 48, 112, 23, 87, 55, 119, 34, 98, 58, 122, 35, 99, 49, 113)(21, 85, 51, 115, 22, 86, 54, 118, 32, 96, 60, 124, 36, 100, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 92)(11, 67)(12, 96)(13, 99)(14, 101)(15, 69)(16, 97)(17, 105)(18, 108)(19, 111)(20, 80)(21, 71)(22, 117)(23, 72)(24, 74)(25, 75)(26, 115)(27, 113)(28, 106)(29, 109)(30, 112)(31, 116)(32, 120)(33, 110)(34, 76)(35, 114)(36, 77)(37, 79)(38, 118)(39, 119)(40, 107)(41, 104)(42, 88)(43, 81)(44, 93)(45, 82)(46, 84)(47, 85)(48, 126)(49, 102)(50, 100)(51, 125)(52, 103)(53, 87)(54, 91)(55, 95)(56, 98)(57, 127)(58, 90)(59, 128)(60, 94)(61, 122)(62, 124)(63, 123)(64, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1476
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1478 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1 * Y3, (R * Y3)^2, (R * Y1)^2, Y3 * Y1^-3, (Y2^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2^-2 * Y1^-1)^2, Y1^-1 * Y2^-3 * Y3^-1 * Y1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y1^-2, Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y1^-1 * Y2^3 * Y3^-1 * Y1, (Y1^-1, Y2^-1, Y1^-1), Y1 * Y2^2 * Y1^-1 * Y3 * Y2^-2 * Y1, Y2^8, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1, (Y3 * Y2 * Y3^2 * Y2^-1 * Y3)^2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 37, 101, 15, 79)(7, 71, 19, 83, 47, 111, 21, 85)(8, 72, 22, 86, 53, 117, 23, 87)(10, 74, 28, 92, 42, 106, 24, 88)(12, 76, 32, 96, 56, 120, 34, 98)(13, 77, 35, 99, 50, 114, 36, 100)(16, 80, 33, 97, 46, 110, 20, 84)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 29, 93, 45, 109)(26, 90, 51, 115, 61, 125, 58, 122)(27, 91, 49, 113, 38, 102, 54, 118)(30, 94, 48, 112, 62, 126, 60, 124)(31, 95, 52, 116, 39, 103, 55, 119)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 157, 221, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 161, 225, 181, 245, 191, 255, 175, 239, 156, 220, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 143, 207, 167, 231, 171, 235, 190, 254, 172, 236, 155, 219)(139, 203, 158, 222, 142, 206, 166, 230, 169, 233, 189, 253, 173, 237, 159, 223)(147, 211, 176, 240, 151, 215, 183, 247, 162, 226, 186, 250, 163, 227, 177, 241)(149, 213, 179, 243, 150, 214, 182, 246, 160, 224, 188, 252, 164, 228, 180, 244)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 152)(11, 153)(12, 162)(13, 164)(14, 133)(15, 165)(16, 148)(17, 171)(18, 173)(19, 135)(20, 174)(21, 175)(22, 136)(23, 181)(24, 170)(25, 137)(26, 186)(27, 182)(28, 138)(29, 172)(30, 188)(31, 183)(32, 140)(33, 144)(34, 184)(35, 141)(36, 178)(37, 142)(38, 177)(39, 180)(40, 169)(41, 145)(42, 156)(43, 168)(44, 146)(45, 157)(46, 161)(47, 147)(48, 158)(49, 155)(50, 163)(51, 154)(52, 159)(53, 150)(54, 166)(55, 167)(56, 160)(57, 192)(58, 189)(59, 191)(60, 190)(61, 179)(62, 176)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1479
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1479 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = (C2 . ((C4 x C2) : C2) = (C2 x C2) . (C4 x C2)) : C2 (small group id <64, 36>)
Aut   = $<128, 934>$ (small group id <128, 934>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-1 * Y1^2)^2, (Y3^-1 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-2)^2, (Y1^-1 * Y3^-1 * Y1^-1)^2, Y3^-2 * Y1^-1 * Y3^2 * Y1^-3, Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-2 * Y1^2 * Y3^2 * Y1^-1, Y3 * Y1 * Y3^-2 * Y1^3 * Y3, Y1^8, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 57, 121, 61, 125, 46, 110, 19, 83, 11, 75)(5, 69, 15, 79, 34, 98, 60, 124, 62, 126, 45, 109, 18, 82, 16, 80)(7, 71, 20, 84, 14, 78, 36, 100, 59, 123, 64, 128, 43, 107, 22, 86)(8, 72, 23, 87, 12, 76, 32, 96, 58, 122, 63, 127, 42, 106, 24, 88)(10, 74, 28, 92, 44, 108, 33, 97, 50, 114, 21, 85, 49, 113, 29, 93)(26, 90, 53, 117, 31, 95, 56, 120, 38, 102, 48, 112, 39, 103, 51, 115)(27, 91, 47, 111, 30, 94, 52, 116, 37, 101, 54, 118, 40, 104, 55, 119)(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, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 158)(12, 161)(13, 162)(14, 132)(15, 165)(16, 167)(17, 170)(18, 172)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 141)(26, 173)(27, 137)(28, 186)(29, 171)(30, 188)(31, 139)(32, 180)(33, 142)(34, 177)(35, 187)(36, 184)(37, 174)(38, 143)(39, 185)(40, 144)(41, 189)(42, 157)(43, 145)(44, 147)(45, 155)(46, 166)(47, 191)(48, 148)(49, 153)(50, 190)(51, 160)(52, 150)(53, 192)(54, 151)(55, 164)(56, 152)(57, 168)(58, 163)(59, 156)(60, 159)(61, 178)(62, 169)(63, 176)(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) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1478
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1480 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^4 * T1^-2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 3, 10, 18, 6, 17, 16, 5)(2, 7, 20, 13, 4, 12, 24, 8)(9, 25, 45, 30, 11, 29, 46, 26)(14, 31, 51, 34, 15, 33, 52, 32)(19, 35, 53, 40, 21, 39, 54, 36)(22, 41, 59, 44, 23, 43, 60, 42)(27, 47, 61, 50, 28, 49, 62, 48)(37, 55, 63, 58, 38, 57, 64, 56)(65, 66, 70, 68)(67, 73, 81, 75)(69, 78, 82, 79)(71, 83, 76, 85)(72, 86, 77, 87)(74, 91, 80, 92)(84, 101, 88, 102)(89, 108, 93, 106)(90, 104, 94, 100)(95, 107, 97, 105)(96, 103, 98, 99)(109, 121, 110, 119)(111, 118, 113, 117)(112, 124, 114, 123)(115, 122, 116, 120)(125, 127, 126, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1482
Transitivity :: ET+
Graph:: bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1481 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 8, 8})
Quotient :: edge
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2^-2 * T1 * T2, T2 * T1 * T2^2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^8 ]
Map:: non-degenerate
	R = (1, 3, 10, 29, 59, 40, 16, 5)(2, 7, 20, 50, 64, 56, 24, 8)(4, 12, 28, 53, 63, 47, 36, 13)(6, 17, 42, 37, 57, 25, 46, 18)(9, 26, 44, 62, 43, 39, 15, 27)(11, 30, 45, 61, 41, 38, 14, 31)(19, 48, 34, 60, 33, 55, 23, 49)(21, 51, 35, 58, 32, 54, 22, 52)(65, 66, 70, 68)(67, 73, 89, 75)(69, 78, 101, 79)(71, 83, 111, 85)(72, 86, 117, 87)(74, 92, 106, 84)(76, 96, 120, 97)(77, 98, 114, 99)(80, 100, 110, 88)(81, 105, 104, 107)(82, 108, 93, 109)(90, 118, 102, 112)(91, 113, 125, 122)(94, 119, 103, 115)(95, 116, 126, 124)(121, 127, 123, 128)
	L = (1, 65)(2, 66)(3, 67)(4, 68)(5, 69)(6, 70)(7, 71)(8, 72)(9, 73)(10, 74)(11, 75)(12, 76)(13, 77)(14, 78)(15, 79)(16, 80)(17, 81)(18, 82)(19, 83)(20, 84)(21, 85)(22, 86)(23, 87)(24, 88)(25, 89)(26, 90)(27, 91)(28, 92)(29, 93)(30, 94)(31, 95)(32, 96)(33, 97)(34, 98)(35, 99)(36, 100)(37, 101)(38, 102)(39, 103)(40, 104)(41, 105)(42, 106)(43, 107)(44, 108)(45, 109)(46, 110)(47, 111)(48, 112)(49, 113)(50, 114)(51, 115)(52, 116)(53, 117)(54, 118)(55, 119)(56, 120)(57, 121)(58, 122)(59, 123)(60, 124)(61, 125)(62, 126)(63, 127)(64, 128)
	local type(s) :: { ( 16^4 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1483
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 64 f = 8
	degree seq :: [ 4^16, 8^8 ]

E17.1482 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ F^2, T1^4, T1^4, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2^4 * T1^-2, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 18, 82, 6, 70, 17, 81, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 13, 77, 4, 68, 12, 76, 24, 88, 8, 72)(9, 73, 25, 89, 45, 109, 30, 94, 11, 75, 29, 93, 46, 110, 26, 90)(14, 78, 31, 95, 51, 115, 34, 98, 15, 79, 33, 97, 52, 116, 32, 96)(19, 83, 35, 99, 53, 117, 40, 104, 21, 85, 39, 103, 54, 118, 36, 100)(22, 86, 41, 105, 59, 123, 44, 108, 23, 87, 43, 107, 60, 124, 42, 106)(27, 91, 47, 111, 61, 125, 50, 114, 28, 92, 49, 113, 62, 126, 48, 112)(37, 101, 55, 119, 63, 127, 58, 122, 38, 102, 57, 121, 64, 128, 56, 120)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 81)(10, 91)(11, 67)(12, 85)(13, 87)(14, 82)(15, 69)(16, 92)(17, 75)(18, 79)(19, 76)(20, 101)(21, 71)(22, 77)(23, 72)(24, 102)(25, 108)(26, 104)(27, 80)(28, 74)(29, 106)(30, 100)(31, 107)(32, 103)(33, 105)(34, 99)(35, 96)(36, 90)(37, 88)(38, 84)(39, 98)(40, 94)(41, 95)(42, 89)(43, 97)(44, 93)(45, 121)(46, 119)(47, 118)(48, 124)(49, 117)(50, 123)(51, 122)(52, 120)(53, 111)(54, 113)(55, 109)(56, 115)(57, 110)(58, 116)(59, 112)(60, 114)(61, 127)(62, 128)(63, 126)(64, 125)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1480
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1483 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 8, 8})
Quotient :: loop
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2^-2 * T1 * T2, T2 * T1 * T2^2 * T1^-1 * T2 * T1^-2, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1, T2^8 ]
Map:: non-degenerate
	R = (1, 65, 3, 67, 10, 74, 29, 93, 59, 123, 40, 104, 16, 80, 5, 69)(2, 66, 7, 71, 20, 84, 50, 114, 64, 128, 56, 120, 24, 88, 8, 72)(4, 68, 12, 76, 28, 92, 53, 117, 63, 127, 47, 111, 36, 100, 13, 77)(6, 70, 17, 81, 42, 106, 37, 101, 57, 121, 25, 89, 46, 110, 18, 82)(9, 73, 26, 90, 44, 108, 62, 126, 43, 107, 39, 103, 15, 79, 27, 91)(11, 75, 30, 94, 45, 109, 61, 125, 41, 105, 38, 102, 14, 78, 31, 95)(19, 83, 48, 112, 34, 98, 60, 124, 33, 97, 55, 119, 23, 87, 49, 113)(21, 85, 51, 115, 35, 99, 58, 122, 32, 96, 54, 118, 22, 86, 52, 116)
	L = (1, 66)(2, 70)(3, 73)(4, 65)(5, 78)(6, 68)(7, 83)(8, 86)(9, 89)(10, 92)(11, 67)(12, 96)(13, 98)(14, 101)(15, 69)(16, 100)(17, 105)(18, 108)(19, 111)(20, 74)(21, 71)(22, 117)(23, 72)(24, 80)(25, 75)(26, 118)(27, 113)(28, 106)(29, 109)(30, 119)(31, 116)(32, 120)(33, 76)(34, 114)(35, 77)(36, 110)(37, 79)(38, 112)(39, 115)(40, 107)(41, 104)(42, 84)(43, 81)(44, 93)(45, 82)(46, 88)(47, 85)(48, 90)(49, 125)(50, 99)(51, 94)(52, 126)(53, 87)(54, 102)(55, 103)(56, 97)(57, 127)(58, 91)(59, 128)(60, 95)(61, 122)(62, 124)(63, 123)(64, 121)
	local type(s) :: { ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1481
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 64 f = 24
	degree seq :: [ 16^8 ]

E17.1484 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1 * Y3, Y3 * Y1, Y1 * Y3, Y3^-1 * Y1^-1, Y1^-3 * Y3, Y3 * Y1^-1 * Y3^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y2 * Y1^-1 * Y3 * Y2^-1 * Y1^-1, Y2 * Y3^2 * Y2^-1 * Y1^-2, (R * Y2 * Y3^-1)^2, Y2^3 * Y3^-1 * Y1 * Y2, Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, R * Y1^2 * Y2^-1 * Y1^-1 * R * Y2^-1 * Y3^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 17, 81, 11, 75)(5, 69, 14, 78, 18, 82, 15, 79)(7, 71, 19, 83, 12, 76, 21, 85)(8, 72, 22, 86, 13, 77, 23, 87)(10, 74, 27, 91, 16, 80, 28, 92)(20, 84, 37, 101, 24, 88, 38, 102)(25, 89, 44, 108, 29, 93, 42, 106)(26, 90, 40, 104, 30, 94, 36, 100)(31, 95, 43, 107, 33, 97, 41, 105)(32, 96, 39, 103, 34, 98, 35, 99)(45, 109, 57, 121, 46, 110, 55, 119)(47, 111, 54, 118, 49, 113, 53, 117)(48, 112, 60, 124, 50, 114, 59, 123)(51, 115, 58, 122, 52, 116, 56, 120)(61, 125, 63, 127, 62, 126, 64, 128)(129, 193, 131, 195, 138, 202, 146, 210, 134, 198, 145, 209, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 141, 205, 132, 196, 140, 204, 152, 216, 136, 200)(137, 201, 153, 217, 173, 237, 158, 222, 139, 203, 157, 221, 174, 238, 154, 218)(142, 206, 159, 223, 179, 243, 162, 226, 143, 207, 161, 225, 180, 244, 160, 224)(147, 211, 163, 227, 181, 245, 168, 232, 149, 213, 167, 231, 182, 246, 164, 228)(150, 214, 169, 233, 187, 251, 172, 236, 151, 215, 171, 235, 188, 252, 170, 234)(155, 219, 175, 239, 189, 253, 178, 242, 156, 220, 177, 241, 190, 254, 176, 240)(165, 229, 183, 247, 191, 255, 186, 250, 166, 230, 185, 249, 192, 256, 184, 248)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 156)(11, 145)(12, 147)(13, 150)(14, 133)(15, 146)(16, 155)(17, 137)(18, 142)(19, 135)(20, 166)(21, 140)(22, 136)(23, 141)(24, 165)(25, 170)(26, 164)(27, 138)(28, 144)(29, 172)(30, 168)(31, 169)(32, 163)(33, 171)(34, 167)(35, 162)(36, 158)(37, 148)(38, 152)(39, 160)(40, 154)(41, 161)(42, 157)(43, 159)(44, 153)(45, 183)(46, 185)(47, 181)(48, 187)(49, 182)(50, 188)(51, 184)(52, 186)(53, 177)(54, 175)(55, 174)(56, 180)(57, 173)(58, 179)(59, 178)(60, 176)(61, 192)(62, 191)(63, 189)(64, 190)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1486
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1485 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y3^2 * Y1^-1 * Y3, Y1^-3 * Y3, Y1 * Y2^-2 * Y1 * Y2^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^3 * Y1 * Y3^-1 * Y2 * Y1, Y2^-2 * Y1^2 * Y2^-1 * Y1^-2 * Y2^-1, Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 * Y2^-1, Y3 * Y2^3 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^8, Y2^-2 * Y3^-1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 4, 68)(3, 67, 9, 73, 25, 89, 11, 75)(5, 69, 14, 78, 37, 101, 15, 79)(7, 71, 19, 83, 47, 111, 21, 85)(8, 72, 22, 86, 53, 117, 23, 87)(10, 74, 28, 92, 42, 106, 20, 84)(12, 76, 32, 96, 56, 120, 33, 97)(13, 77, 34, 98, 50, 114, 35, 99)(16, 80, 36, 100, 46, 110, 24, 88)(17, 81, 41, 105, 40, 104, 43, 107)(18, 82, 44, 108, 29, 93, 45, 109)(26, 90, 54, 118, 38, 102, 48, 112)(27, 91, 49, 113, 61, 125, 58, 122)(30, 94, 55, 119, 39, 103, 51, 115)(31, 95, 52, 116, 62, 126, 60, 124)(57, 121, 63, 127, 59, 123, 64, 128)(129, 193, 131, 195, 138, 202, 157, 221, 187, 251, 168, 232, 144, 208, 133, 197)(130, 194, 135, 199, 148, 212, 178, 242, 192, 256, 184, 248, 152, 216, 136, 200)(132, 196, 140, 204, 156, 220, 181, 245, 191, 255, 175, 239, 164, 228, 141, 205)(134, 198, 145, 209, 170, 234, 165, 229, 185, 249, 153, 217, 174, 238, 146, 210)(137, 201, 154, 218, 172, 236, 190, 254, 171, 235, 167, 231, 143, 207, 155, 219)(139, 203, 158, 222, 173, 237, 189, 253, 169, 233, 166, 230, 142, 206, 159, 223)(147, 211, 176, 240, 162, 226, 188, 252, 161, 225, 183, 247, 151, 215, 177, 241)(149, 213, 179, 243, 163, 227, 186, 250, 160, 224, 182, 246, 150, 214, 180, 244)
	L = (1, 132)(2, 129)(3, 139)(4, 134)(5, 143)(6, 130)(7, 149)(8, 151)(9, 131)(10, 148)(11, 153)(12, 161)(13, 163)(14, 133)(15, 165)(16, 152)(17, 171)(18, 173)(19, 135)(20, 170)(21, 175)(22, 136)(23, 181)(24, 174)(25, 137)(26, 176)(27, 186)(28, 138)(29, 172)(30, 179)(31, 188)(32, 140)(33, 184)(34, 141)(35, 178)(36, 144)(37, 142)(38, 182)(39, 183)(40, 169)(41, 145)(42, 156)(43, 168)(44, 146)(45, 157)(46, 164)(47, 147)(48, 166)(49, 155)(50, 162)(51, 167)(52, 159)(53, 150)(54, 154)(55, 158)(56, 160)(57, 192)(58, 189)(59, 191)(60, 190)(61, 177)(62, 180)(63, 185)(64, 187)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 2, 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 E17.1487
Graph:: bipartite
	v = 24 e = 128 f = 72
	degree seq :: [ 8^16, 16^8 ]

E17.1486 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^2 * Y1^-1 * Y3, Y1^4 * Y3^-2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1, Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 10, 74, 21, 85, 13, 77, 4, 68)(3, 67, 9, 73, 25, 89, 16, 80, 5, 69, 15, 79, 29, 93, 11, 75)(7, 71, 20, 84, 39, 103, 24, 88, 8, 72, 23, 87, 43, 107, 22, 86)(12, 76, 31, 95, 51, 115, 34, 98, 14, 78, 33, 97, 52, 116, 32, 96)(18, 82, 35, 99, 53, 117, 38, 102, 19, 83, 37, 101, 57, 121, 36, 100)(26, 90, 47, 111, 55, 119, 42, 106, 27, 91, 48, 112, 54, 118, 44, 108)(28, 92, 49, 113, 58, 122, 40, 104, 30, 94, 50, 114, 56, 120, 41, 105)(45, 109, 60, 124, 63, 127, 62, 126, 46, 110, 59, 123, 64, 128, 61, 125)(129, 193)(130, 194)(131, 195)(132, 196)(133, 197)(134, 198)(135, 199)(136, 200)(137, 201)(138, 202)(139, 203)(140, 204)(141, 205)(142, 206)(143, 207)(144, 208)(145, 209)(146, 210)(147, 211)(148, 212)(149, 213)(150, 214)(151, 215)(152, 216)(153, 217)(154, 218)(155, 219)(156, 220)(157, 221)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(164, 228)(165, 229)(166, 230)(167, 231)(168, 232)(169, 233)(170, 234)(171, 235)(172, 236)(173, 237)(174, 238)(175, 239)(176, 240)(177, 241)(178, 242)(179, 243)(180, 244)(181, 245)(182, 246)(183, 247)(184, 248)(185, 249)(186, 250)(187, 251)(188, 252)(189, 253)(190, 254)(191, 255)(192, 256)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 146)(7, 149)(8, 130)(9, 154)(10, 133)(11, 156)(12, 145)(13, 147)(14, 132)(15, 155)(16, 158)(17, 142)(18, 141)(19, 134)(20, 168)(21, 136)(22, 170)(23, 169)(24, 172)(25, 173)(26, 143)(27, 137)(28, 144)(29, 174)(30, 139)(31, 178)(32, 176)(33, 177)(34, 175)(35, 182)(36, 184)(37, 183)(38, 186)(39, 187)(40, 151)(41, 148)(42, 152)(43, 188)(44, 150)(45, 157)(46, 153)(47, 160)(48, 162)(49, 159)(50, 161)(51, 190)(52, 189)(53, 191)(54, 165)(55, 163)(56, 166)(57, 192)(58, 164)(59, 171)(60, 167)(61, 179)(62, 180)(63, 185)(64, 181)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1484
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1487 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 8, 8})
Quotient :: dipole
Aut^+ = C2 . (((C4 x C2) : C2) : C2) = (C4 x C2) . (C4 x C2) (small group id <64, 37>)
Aut   = $<128, 936>$ (small group id <128, 936>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1, Y3^-2 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y1^8, (Y3 * Y2^-1)^4 ]
Map::
	R = (1, 65, 2, 66, 6, 70, 17, 81, 41, 105, 35, 99, 13, 77, 4, 68)(3, 67, 9, 73, 19, 83, 46, 110, 61, 125, 60, 124, 30, 94, 11, 75)(5, 69, 15, 79, 18, 82, 44, 108, 62, 126, 57, 121, 34, 98, 16, 80)(7, 71, 20, 84, 43, 107, 64, 128, 59, 123, 36, 100, 14, 78, 22, 86)(8, 72, 23, 87, 42, 106, 63, 127, 58, 122, 33, 97, 12, 76, 24, 88)(10, 74, 27, 91, 45, 109, 32, 96, 50, 114, 21, 85, 49, 113, 28, 92)(25, 89, 48, 112, 39, 103, 56, 120, 38, 102, 53, 117, 31, 95, 51, 115)(26, 90, 54, 118, 40, 104, 52, 116, 37, 101, 47, 111, 29, 93, 55, 119)(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, 146)(7, 149)(8, 130)(9, 153)(10, 133)(11, 157)(12, 160)(13, 162)(14, 132)(15, 165)(16, 167)(17, 170)(18, 173)(19, 134)(20, 175)(21, 136)(22, 179)(23, 181)(24, 183)(25, 185)(26, 137)(27, 186)(28, 171)(29, 172)(30, 141)(31, 139)(32, 142)(33, 176)(34, 177)(35, 187)(36, 182)(37, 188)(38, 143)(39, 174)(40, 144)(41, 189)(42, 156)(43, 145)(44, 159)(45, 147)(46, 168)(47, 161)(48, 148)(49, 158)(50, 190)(51, 191)(52, 150)(53, 164)(54, 151)(55, 192)(56, 152)(57, 154)(58, 163)(59, 155)(60, 166)(61, 178)(62, 169)(63, 180)(64, 184)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1485
Graph:: simple bipartite
	v = 72 e = 128 f = 24
	degree seq :: [ 2^64, 16^8 ]

E17.1488 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 34})
Quotient :: dipole
Aut^+ = D68 (small group id <68, 4>)
Aut   = C2 x C2 x D34 (small group id <136, 14>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 69, 2, 70)(3, 71, 5, 73)(4, 72, 8, 76)(6, 74, 10, 78)(7, 75, 11, 79)(9, 77, 13, 81)(12, 80, 16, 84)(14, 82, 18, 86)(15, 83, 19, 87)(17, 85, 21, 89)(20, 88, 24, 92)(22, 90, 26, 94)(23, 91, 27, 95)(25, 93, 29, 97)(28, 96, 32, 100)(30, 98, 36, 104)(31, 99, 40, 108)(33, 101, 53, 121)(34, 102, 57, 125)(35, 103, 60, 128)(37, 105, 64, 132)(38, 106, 51, 119)(39, 107, 55, 123)(41, 109, 58, 126)(42, 110, 61, 129)(43, 111, 65, 133)(44, 112, 66, 134)(45, 113, 62, 130)(46, 114, 59, 127)(47, 115, 56, 124)(48, 116, 67, 135)(49, 117, 68, 136)(50, 118, 63, 131)(52, 120, 54, 122)(137, 205, 139, 207)(138, 206, 141, 209)(140, 208, 143, 211)(142, 210, 145, 213)(144, 212, 147, 215)(146, 214, 149, 217)(148, 216, 151, 219)(150, 218, 153, 221)(152, 220, 155, 223)(154, 222, 157, 225)(156, 224, 159, 227)(158, 226, 161, 229)(160, 228, 163, 231)(162, 230, 165, 233)(164, 232, 167, 235)(166, 234, 187, 255)(168, 236, 176, 244)(169, 237, 171, 239)(170, 238, 173, 241)(172, 240, 174, 242)(175, 243, 178, 246)(177, 245, 179, 247)(180, 248, 182, 250)(181, 249, 183, 251)(184, 252, 186, 254)(185, 253, 188, 256)(189, 257, 196, 264)(190, 258, 204, 272)(191, 259, 197, 265)(192, 260, 198, 266)(193, 261, 200, 268)(194, 262, 201, 269)(195, 263, 202, 270)(199, 267, 203, 271)
	L = (1, 140)(2, 142)(3, 143)(4, 137)(5, 145)(6, 138)(7, 139)(8, 148)(9, 141)(10, 150)(11, 151)(12, 144)(13, 153)(14, 146)(15, 147)(16, 156)(17, 149)(18, 158)(19, 159)(20, 152)(21, 161)(22, 154)(23, 155)(24, 164)(25, 157)(26, 166)(27, 167)(28, 160)(29, 187)(30, 162)(31, 163)(32, 189)(33, 191)(34, 194)(35, 197)(36, 193)(37, 201)(38, 200)(39, 202)(40, 196)(41, 198)(42, 195)(43, 192)(44, 203)(45, 204)(46, 199)(47, 190)(48, 188)(49, 186)(50, 185)(51, 165)(52, 184)(53, 168)(54, 183)(55, 169)(56, 179)(57, 172)(58, 170)(59, 178)(60, 176)(61, 171)(62, 177)(63, 182)(64, 174)(65, 173)(66, 175)(67, 180)(68, 181)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E17.1489
Graph:: simple bipartite
	v = 68 e = 136 f = 36
	degree seq :: [ 4^68 ]

E17.1489 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 34})
Quotient :: dipole
Aut^+ = D68 (small group id <68, 4>)
Aut   = C2 x C2 x D34 (small group id <136, 14>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2)^2, (Y3 * Y2)^2, Y1^9 * Y3 * Y1^-8 * Y2, Y1^2 * Y3 * Y1^-1 * Y2 * Y1^7 * Y3 * Y2 * Y1^7 * Y3 * Y2 ]
Map:: non-degenerate
	R = (1, 69, 2, 70, 6, 74, 13, 81, 21, 89, 29, 97, 37, 105, 45, 113, 53, 121, 61, 129, 66, 134, 58, 126, 50, 118, 42, 110, 34, 102, 26, 94, 18, 86, 10, 78, 16, 84, 24, 92, 32, 100, 40, 108, 48, 116, 56, 124, 64, 132, 68, 136, 60, 128, 52, 120, 44, 112, 36, 104, 28, 96, 20, 88, 12, 80, 5, 73)(3, 71, 9, 77, 17, 85, 25, 93, 33, 101, 41, 109, 49, 117, 57, 125, 65, 133, 63, 131, 55, 123, 47, 115, 39, 107, 31, 99, 23, 91, 15, 83, 8, 76, 4, 72, 11, 79, 19, 87, 27, 95, 35, 103, 43, 111, 51, 119, 59, 127, 67, 135, 62, 130, 54, 122, 46, 114, 38, 106, 30, 98, 22, 90, 14, 82, 7, 75)(137, 205, 139, 207)(138, 206, 143, 211)(140, 208, 146, 214)(141, 209, 145, 213)(142, 210, 150, 218)(144, 212, 152, 220)(147, 215, 154, 222)(148, 216, 153, 221)(149, 217, 158, 226)(151, 219, 160, 228)(155, 223, 162, 230)(156, 224, 161, 229)(157, 225, 166, 234)(159, 227, 168, 236)(163, 231, 170, 238)(164, 232, 169, 237)(165, 233, 174, 242)(167, 235, 176, 244)(171, 239, 178, 246)(172, 240, 177, 245)(173, 241, 182, 250)(175, 243, 184, 252)(179, 247, 186, 254)(180, 248, 185, 253)(181, 249, 190, 258)(183, 251, 192, 260)(187, 255, 194, 262)(188, 256, 193, 261)(189, 257, 198, 266)(191, 259, 200, 268)(195, 263, 202, 270)(196, 264, 201, 269)(197, 265, 203, 271)(199, 267, 204, 272)
	L = (1, 140)(2, 144)(3, 146)(4, 137)(5, 147)(6, 151)(7, 152)(8, 138)(9, 154)(10, 139)(11, 141)(12, 155)(13, 159)(14, 160)(15, 142)(16, 143)(17, 162)(18, 145)(19, 148)(20, 163)(21, 167)(22, 168)(23, 149)(24, 150)(25, 170)(26, 153)(27, 156)(28, 171)(29, 175)(30, 176)(31, 157)(32, 158)(33, 178)(34, 161)(35, 164)(36, 179)(37, 183)(38, 184)(39, 165)(40, 166)(41, 186)(42, 169)(43, 172)(44, 187)(45, 191)(46, 192)(47, 173)(48, 174)(49, 194)(50, 177)(51, 180)(52, 195)(53, 199)(54, 200)(55, 181)(56, 182)(57, 202)(58, 185)(59, 188)(60, 203)(61, 201)(62, 204)(63, 189)(64, 190)(65, 197)(66, 193)(67, 196)(68, 198)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 4^4 ), ( 4^68 ) }
Outer automorphisms :: reflexible
Dual of E17.1488
Graph:: bipartite
	v = 36 e = 136 f = 68
	degree seq :: [ 4^34, 68^2 ]

E17.1490 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 34})
Quotient :: edge
Aut^+ = C17 : C4 (small group id <68, 1>)
Aut   = (C34 x C2) : C2 (small group id <136, 8>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, (F * T1)^2, T2 * T1 * T2 * T1^-1, T1^-2 * T2^17 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 66, 58, 50, 42, 34, 26, 18, 10, 4, 11, 19, 27, 35, 43, 51, 59, 67, 64, 56, 48, 40, 32, 24, 16, 8)(69, 70, 74, 72)(71, 76, 81, 78)(73, 75, 82, 79)(77, 84, 89, 86)(80, 83, 90, 87)(85, 92, 97, 94)(88, 91, 98, 95)(93, 100, 105, 102)(96, 99, 106, 103)(101, 108, 113, 110)(104, 107, 114, 111)(109, 116, 121, 118)(112, 115, 122, 119)(117, 124, 129, 126)(120, 123, 130, 127)(125, 132, 136, 134)(128, 131, 133, 135)
	L = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 8^4 ), ( 8^34 ) }
Outer automorphisms :: reflexible
Dual of E17.1491
Transitivity :: ET+
Graph:: bipartite
	v = 19 e = 68 f = 17
	degree seq :: [ 4^17, 34^2 ]

E17.1491 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 34})
Quotient :: loop
Aut^+ = C17 : C4 (small group id <68, 1>)
Aut   = (C34 x C2) : C2 (small group id <136, 8>)
|r| :: 2
Presentation :: [ F^2, T2^4, T1^2 * T2^2, (F * T2)^2, T2^-1 * T1^2 * T2^-1, (F * T1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: non-degenerate
	R = (1, 69, 3, 71, 6, 74, 5, 73)(2, 70, 7, 75, 4, 72, 8, 76)(9, 77, 13, 81, 10, 78, 14, 82)(11, 79, 15, 83, 12, 80, 16, 84)(17, 85, 21, 89, 18, 86, 22, 90)(19, 87, 23, 91, 20, 88, 24, 92)(25, 93, 29, 97, 26, 94, 30, 98)(27, 95, 31, 99, 28, 96, 32, 100)(33, 101, 57, 125, 34, 102, 59, 127)(35, 103, 62, 130, 40, 108, 65, 133)(36, 104, 60, 128, 38, 106, 58, 126)(37, 105, 66, 134, 39, 107, 67, 135)(41, 109, 64, 132, 42, 110, 61, 129)(43, 111, 55, 123, 44, 112, 56, 124)(45, 113, 54, 122, 46, 114, 53, 121)(47, 115, 63, 131, 48, 116, 68, 136)(49, 117, 51, 119, 50, 118, 52, 120)
	L = (1, 70)(2, 74)(3, 77)(4, 69)(5, 78)(6, 72)(7, 79)(8, 80)(9, 73)(10, 71)(11, 76)(12, 75)(13, 85)(14, 86)(15, 87)(16, 88)(17, 82)(18, 81)(19, 84)(20, 83)(21, 93)(22, 94)(23, 95)(24, 96)(25, 90)(26, 89)(27, 92)(28, 91)(29, 101)(30, 102)(31, 116)(32, 115)(33, 98)(34, 97)(35, 129)(36, 134)(37, 136)(38, 135)(39, 131)(40, 132)(41, 127)(42, 125)(43, 133)(44, 130)(45, 126)(46, 128)(47, 99)(48, 100)(49, 124)(50, 123)(51, 121)(52, 122)(53, 120)(54, 119)(55, 117)(56, 118)(57, 109)(58, 114)(59, 110)(60, 113)(61, 108)(62, 111)(63, 105)(64, 103)(65, 112)(66, 106)(67, 104)(68, 107)
	local type(s) :: { ( 4, 34, 4, 34, 4, 34, 4, 34 ) }
Outer automorphisms :: reflexible
Dual of E17.1490
Transitivity :: ET+ VT+ AT
Graph::
	v = 17 e = 68 f = 19
	degree seq :: [ 8^17 ]

E17.1492 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 34})
Quotient :: dipole
Aut^+ = C17 : C4 (small group id <68, 1>)
Aut   = (C34 x C2) : C2 (small group id <136, 8>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (R * Y1)^2, R * Y2 * R * Y3, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y1^-2 * Y2^17 ]
Map::
	R = (1, 69, 2, 70, 6, 74, 4, 72)(3, 71, 8, 76, 13, 81, 10, 78)(5, 73, 7, 75, 14, 82, 11, 79)(9, 77, 16, 84, 21, 89, 18, 86)(12, 80, 15, 83, 22, 90, 19, 87)(17, 85, 24, 92, 29, 97, 26, 94)(20, 88, 23, 91, 30, 98, 27, 95)(25, 93, 32, 100, 37, 105, 34, 102)(28, 96, 31, 99, 38, 106, 35, 103)(33, 101, 40, 108, 45, 113, 42, 110)(36, 104, 39, 107, 46, 114, 43, 111)(41, 109, 48, 116, 53, 121, 50, 118)(44, 112, 47, 115, 54, 122, 51, 119)(49, 117, 56, 124, 61, 129, 58, 126)(52, 120, 55, 123, 62, 130, 59, 127)(57, 125, 64, 132, 68, 136, 66, 134)(60, 128, 63, 131, 65, 133, 67, 135)(137, 205, 139, 207, 145, 213, 153, 221, 161, 229, 169, 237, 177, 245, 185, 253, 193, 261, 201, 269, 198, 266, 190, 258, 182, 250, 174, 242, 166, 234, 158, 226, 150, 218, 142, 210, 149, 217, 157, 225, 165, 233, 173, 241, 181, 249, 189, 257, 197, 265, 204, 272, 196, 264, 188, 256, 180, 248, 172, 240, 164, 232, 156, 224, 148, 216, 141, 209)(138, 206, 143, 211, 151, 219, 159, 227, 167, 235, 175, 243, 183, 251, 191, 259, 199, 267, 202, 270, 194, 262, 186, 254, 178, 246, 170, 238, 162, 230, 154, 222, 146, 214, 140, 208, 147, 215, 155, 223, 163, 231, 171, 239, 179, 247, 187, 255, 195, 263, 203, 271, 200, 268, 192, 260, 184, 252, 176, 244, 168, 236, 160, 228, 152, 220, 144, 212)
	L = (1, 139)(2, 143)(3, 145)(4, 147)(5, 137)(6, 149)(7, 151)(8, 138)(9, 153)(10, 140)(11, 155)(12, 141)(13, 157)(14, 142)(15, 159)(16, 144)(17, 161)(18, 146)(19, 163)(20, 148)(21, 165)(22, 150)(23, 167)(24, 152)(25, 169)(26, 154)(27, 171)(28, 156)(29, 173)(30, 158)(31, 175)(32, 160)(33, 177)(34, 162)(35, 179)(36, 164)(37, 181)(38, 166)(39, 183)(40, 168)(41, 185)(42, 170)(43, 187)(44, 172)(45, 189)(46, 174)(47, 191)(48, 176)(49, 193)(50, 178)(51, 195)(52, 180)(53, 197)(54, 182)(55, 199)(56, 184)(57, 201)(58, 186)(59, 203)(60, 188)(61, 204)(62, 190)(63, 202)(64, 192)(65, 198)(66, 194)(67, 200)(68, 196)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1493
Graph:: bipartite
	v = 19 e = 136 f = 85
	degree seq :: [ 8^17, 68^2 ]

E17.1493 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 34})
Quotient :: dipole
Aut^+ = C17 : C4 (small group id <68, 1>)
Aut   = (C34 x C2) : C2 (small group id <136, 8>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y2^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^8 * Y2 * Y3^-8, (Y3^-1 * Y1^-1)^34 ]
Map::
	R = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)(137, 205, 138, 206, 142, 210, 140, 208)(139, 207, 144, 212, 149, 217, 146, 214)(141, 209, 143, 211, 150, 218, 147, 215)(145, 213, 152, 220, 157, 225, 154, 222)(148, 216, 151, 219, 158, 226, 155, 223)(153, 221, 160, 228, 165, 233, 162, 230)(156, 224, 159, 227, 166, 234, 163, 231)(161, 229, 168, 236, 173, 241, 170, 238)(164, 232, 167, 235, 174, 242, 171, 239)(169, 237, 176, 244, 181, 249, 178, 246)(172, 240, 175, 243, 182, 250, 179, 247)(177, 245, 184, 252, 189, 257, 186, 254)(180, 248, 183, 251, 190, 258, 187, 255)(185, 253, 192, 260, 197, 265, 194, 262)(188, 256, 191, 259, 198, 266, 195, 263)(193, 261, 200, 268, 204, 272, 202, 270)(196, 264, 199, 267, 201, 269, 203, 271)
	L = (1, 139)(2, 143)(3, 145)(4, 147)(5, 137)(6, 149)(7, 151)(8, 138)(9, 153)(10, 140)(11, 155)(12, 141)(13, 157)(14, 142)(15, 159)(16, 144)(17, 161)(18, 146)(19, 163)(20, 148)(21, 165)(22, 150)(23, 167)(24, 152)(25, 169)(26, 154)(27, 171)(28, 156)(29, 173)(30, 158)(31, 175)(32, 160)(33, 177)(34, 162)(35, 179)(36, 164)(37, 181)(38, 166)(39, 183)(40, 168)(41, 185)(42, 170)(43, 187)(44, 172)(45, 189)(46, 174)(47, 191)(48, 176)(49, 193)(50, 178)(51, 195)(52, 180)(53, 197)(54, 182)(55, 199)(56, 184)(57, 201)(58, 186)(59, 203)(60, 188)(61, 204)(62, 190)(63, 202)(64, 192)(65, 198)(66, 194)(67, 200)(68, 196)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 8, 68 ), ( 8, 68, 8, 68, 8, 68, 8, 68 ) }
Outer automorphisms :: reflexible
Dual of E17.1492
Graph:: simple bipartite
	v = 85 e = 136 f = 19
	degree seq :: [ 2^68, 8^17 ]

E17.1494 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 68, 68})
Quotient :: regular
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^34 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 33, 34, 37, 40, 43, 45, 47, 49, 51, 57, 54, 55, 58, 61, 64, 66, 53, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 42, 39, 35, 38, 41, 44, 46, 48, 50, 52, 63, 60, 56, 59, 62, 65, 67, 68, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 42)(32, 53)(33, 35)(34, 38)(36, 39)(37, 41)(40, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 63)(54, 56)(55, 59)(57, 60)(58, 62)(61, 65)(64, 67)(66, 68)
	local type(s) :: { ( 68^68 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 34 f = 1
	degree seq :: [ 68 ]

E17.1495 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 68, 68})
Quotient :: edge
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^34 * T1 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 50, 46, 42, 38, 34, 37, 41, 45, 49, 53, 55, 57, 68, 66, 64, 62, 60, 59, 30, 26, 22, 18, 14, 10, 6, 2, 5, 9, 13, 17, 21, 25, 29, 52, 48, 44, 40, 36, 33, 35, 39, 43, 47, 51, 54, 56, 58, 67, 65, 63, 61, 32, 28, 24, 20, 16, 12, 8, 4)(69, 70)(71, 73)(72, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 120)(100, 127)(101, 102)(103, 105)(104, 106)(107, 109)(108, 110)(111, 113)(112, 114)(115, 117)(116, 118)(119, 121)(122, 123)(124, 125)(126, 136)(128, 129)(130, 131)(132, 133)(134, 135)
	L = (1, 69)(2, 70)(3, 71)(4, 72)(5, 73)(6, 74)(7, 75)(8, 76)(9, 77)(10, 78)(11, 79)(12, 80)(13, 81)(14, 82)(15, 83)(16, 84)(17, 85)(18, 86)(19, 87)(20, 88)(21, 89)(22, 90)(23, 91)(24, 92)(25, 93)(26, 94)(27, 95)(28, 96)(29, 97)(30, 98)(31, 99)(32, 100)(33, 101)(34, 102)(35, 103)(36, 104)(37, 105)(38, 106)(39, 107)(40, 108)(41, 109)(42, 110)(43, 111)(44, 112)(45, 113)(46, 114)(47, 115)(48, 116)(49, 117)(50, 118)(51, 119)(52, 120)(53, 121)(54, 122)(55, 123)(56, 124)(57, 125)(58, 126)(59, 127)(60, 128)(61, 129)(62, 130)(63, 131)(64, 132)(65, 133)(66, 134)(67, 135)(68, 136)
	local type(s) :: { ( 136, 136 ), ( 136^68 ) }
Outer automorphisms :: reflexible
Dual of E17.1496
Transitivity :: ET+
Graph:: bipartite
	v = 35 e = 68 f = 1
	degree seq :: [ 2^34, 68 ]

E17.1496 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 68, 68})
Quotient :: loop
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^34 * T1 ]
Map::
	R = (1, 69, 3, 71, 7, 75, 11, 79, 15, 83, 19, 87, 23, 91, 27, 95, 31, 99, 38, 106, 34, 102, 37, 105, 41, 109, 43, 111, 45, 113, 47, 115, 49, 117, 51, 119, 61, 129, 57, 125, 54, 122, 56, 124, 60, 128, 63, 131, 65, 133, 67, 135, 53, 121, 30, 98, 26, 94, 22, 90, 18, 86, 14, 82, 10, 78, 6, 74, 2, 70, 5, 73, 9, 77, 13, 81, 17, 85, 21, 89, 25, 93, 29, 97, 40, 108, 36, 104, 33, 101, 35, 103, 39, 107, 42, 110, 44, 112, 46, 114, 48, 116, 50, 118, 52, 120, 59, 127, 55, 123, 58, 126, 62, 130, 64, 132, 66, 134, 68, 136, 32, 100, 28, 96, 24, 92, 20, 88, 16, 84, 12, 80, 8, 76, 4, 72)
	L = (1, 70)(2, 69)(3, 73)(4, 74)(5, 71)(6, 72)(7, 77)(8, 78)(9, 75)(10, 76)(11, 81)(12, 82)(13, 79)(14, 80)(15, 85)(16, 86)(17, 83)(18, 84)(19, 89)(20, 90)(21, 87)(22, 88)(23, 93)(24, 94)(25, 91)(26, 92)(27, 97)(28, 98)(29, 95)(30, 96)(31, 108)(32, 121)(33, 102)(34, 101)(35, 105)(36, 106)(37, 103)(38, 104)(39, 109)(40, 99)(41, 107)(42, 111)(43, 110)(44, 113)(45, 112)(46, 115)(47, 114)(48, 117)(49, 116)(50, 119)(51, 118)(52, 129)(53, 100)(54, 123)(55, 122)(56, 126)(57, 127)(58, 124)(59, 125)(60, 130)(61, 120)(62, 128)(63, 132)(64, 131)(65, 134)(66, 133)(67, 136)(68, 135)
	local type(s) :: { ( 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68, 2, 68 ) }
Outer automorphisms :: reflexible
Dual of E17.1495
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 68 f = 35
	degree seq :: [ 136 ]

E17.1497 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 68, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^34 * Y1, (Y3 * Y2^-1)^68 ]
Map::
	R = (1, 69, 2, 70)(3, 71, 5, 73)(4, 72, 6, 74)(7, 75, 9, 77)(8, 76, 10, 78)(11, 79, 13, 81)(12, 80, 14, 82)(15, 83, 17, 85)(16, 84, 18, 86)(19, 87, 21, 89)(20, 88, 22, 90)(23, 91, 25, 93)(24, 92, 26, 94)(27, 95, 29, 97)(28, 96, 30, 98)(31, 99, 36, 104)(32, 100, 51, 119)(33, 101, 34, 102)(35, 103, 37, 105)(38, 106, 39, 107)(40, 108, 41, 109)(42, 110, 43, 111)(44, 112, 45, 113)(46, 114, 47, 115)(48, 116, 49, 117)(50, 118, 55, 123)(52, 120, 53, 121)(54, 122, 56, 124)(57, 125, 58, 126)(59, 127, 60, 128)(61, 129, 62, 130)(63, 131, 64, 132)(65, 133, 66, 134)(67, 135, 68, 136)(137, 205, 139, 207, 143, 211, 147, 215, 151, 219, 155, 223, 159, 227, 163, 231, 167, 235, 170, 238, 173, 241, 175, 243, 177, 245, 179, 247, 181, 249, 183, 251, 185, 253, 191, 259, 188, 256, 190, 258, 193, 261, 195, 263, 197, 265, 199, 267, 201, 269, 203, 271, 187, 255, 166, 234, 162, 230, 158, 226, 154, 222, 150, 218, 146, 214, 142, 210, 138, 206, 141, 209, 145, 213, 149, 217, 153, 221, 157, 225, 161, 229, 165, 233, 172, 240, 169, 237, 171, 239, 174, 242, 176, 244, 178, 246, 180, 248, 182, 250, 184, 252, 186, 254, 189, 257, 192, 260, 194, 262, 196, 264, 198, 266, 200, 268, 202, 270, 204, 272, 168, 236, 164, 232, 160, 228, 156, 224, 152, 220, 148, 216, 144, 212, 140, 208)
	L = (1, 138)(2, 137)(3, 141)(4, 142)(5, 139)(6, 140)(7, 145)(8, 146)(9, 143)(10, 144)(11, 149)(12, 150)(13, 147)(14, 148)(15, 153)(16, 154)(17, 151)(18, 152)(19, 157)(20, 158)(21, 155)(22, 156)(23, 161)(24, 162)(25, 159)(26, 160)(27, 165)(28, 166)(29, 163)(30, 164)(31, 172)(32, 187)(33, 170)(34, 169)(35, 173)(36, 167)(37, 171)(38, 175)(39, 174)(40, 177)(41, 176)(42, 179)(43, 178)(44, 181)(45, 180)(46, 183)(47, 182)(48, 185)(49, 184)(50, 191)(51, 168)(52, 189)(53, 188)(54, 192)(55, 186)(56, 190)(57, 194)(58, 193)(59, 196)(60, 195)(61, 198)(62, 197)(63, 200)(64, 199)(65, 202)(66, 201)(67, 204)(68, 203)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 2, 136, 2, 136 ), ( 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136, 2, 136 ) }
Outer automorphisms :: reflexible
Dual of E17.1498
Graph:: bipartite
	v = 35 e = 136 f = 69
	degree seq :: [ 4^34, 136 ]

E17.1498 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 68, 68})
Quotient :: dipole
Aut^+ = C68 (small group id <68, 2>)
Aut   = D136 (small group id <136, 6>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3 * Y1^34 ]
Map::
	R = (1, 69, 2, 70, 5, 73, 9, 77, 13, 81, 17, 85, 21, 89, 25, 93, 29, 97, 47, 115, 43, 111, 39, 107, 35, 103, 38, 106, 42, 110, 46, 114, 50, 118, 52, 120, 54, 122, 56, 124, 68, 136, 66, 134, 64, 132, 61, 129, 58, 126, 59, 127, 57, 125, 31, 99, 27, 95, 23, 91, 19, 87, 15, 83, 11, 79, 7, 75, 3, 71, 6, 74, 10, 78, 14, 82, 18, 86, 22, 90, 26, 94, 30, 98, 48, 116, 44, 112, 40, 108, 36, 104, 33, 101, 34, 102, 37, 105, 41, 109, 45, 113, 49, 117, 51, 119, 53, 121, 55, 123, 67, 135, 65, 133, 63, 131, 60, 128, 62, 130, 32, 100, 28, 96, 24, 92, 20, 88, 16, 84, 12, 80, 8, 76, 4, 72)(137, 205)(138, 206)(139, 207)(140, 208)(141, 209)(142, 210)(143, 211)(144, 212)(145, 213)(146, 214)(147, 215)(148, 216)(149, 217)(150, 218)(151, 219)(152, 220)(153, 221)(154, 222)(155, 223)(156, 224)(157, 225)(158, 226)(159, 227)(160, 228)(161, 229)(162, 230)(163, 231)(164, 232)(165, 233)(166, 234)(167, 235)(168, 236)(169, 237)(170, 238)(171, 239)(172, 240)(173, 241)(174, 242)(175, 243)(176, 244)(177, 245)(178, 246)(179, 247)(180, 248)(181, 249)(182, 250)(183, 251)(184, 252)(185, 253)(186, 254)(187, 255)(188, 256)(189, 257)(190, 258)(191, 259)(192, 260)(193, 261)(194, 262)(195, 263)(196, 264)(197, 265)(198, 266)(199, 267)(200, 268)(201, 269)(202, 270)(203, 271)(204, 272)
	L = (1, 139)(2, 142)(3, 137)(4, 143)(5, 146)(6, 138)(7, 140)(8, 147)(9, 150)(10, 141)(11, 144)(12, 151)(13, 154)(14, 145)(15, 148)(16, 155)(17, 158)(18, 149)(19, 152)(20, 159)(21, 162)(22, 153)(23, 156)(24, 163)(25, 166)(26, 157)(27, 160)(28, 167)(29, 184)(30, 161)(31, 164)(32, 193)(33, 171)(34, 174)(35, 169)(36, 175)(37, 178)(38, 170)(39, 172)(40, 179)(41, 182)(42, 173)(43, 176)(44, 183)(45, 186)(46, 177)(47, 180)(48, 165)(49, 188)(50, 181)(51, 190)(52, 185)(53, 192)(54, 187)(55, 204)(56, 189)(57, 168)(58, 196)(59, 198)(60, 194)(61, 199)(62, 195)(63, 197)(64, 201)(65, 200)(66, 203)(67, 202)(68, 191)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 4, 136 ), ( 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136, 4, 136 ) }
Outer automorphisms :: reflexible
Dual of E17.1497
Graph:: bipartite
	v = 69 e = 136 f = 35
	degree seq :: [ 2^68, 136 ]

E17.1499 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 35, 70})
Quotient :: regular
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-35 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 39, 35, 38, 42, 44, 46, 48, 50, 52, 61, 57, 54, 55, 58, 62, 64, 66, 68, 53, 31, 27, 23, 19, 15, 11, 7, 3, 6, 10, 14, 18, 22, 26, 30, 40, 36, 33, 34, 37, 41, 43, 45, 47, 49, 51, 60, 56, 59, 63, 65, 67, 69, 70, 32, 28, 24, 20, 16, 12, 8, 4)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 40)(32, 53)(33, 35)(34, 38)(36, 39)(37, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 61)(54, 56)(55, 59)(57, 60)(58, 63)(62, 65)(64, 67)(66, 69)(68, 70)
	local type(s) :: { ( 35^70 ) }
Outer automorphisms :: reflexible
Dual of E17.1500
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 1 e = 35 f = 2
	degree seq :: [ 70 ]

E17.1500 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 35, 70})
Quotient :: regular
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^35 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 39, 35, 38, 42, 44, 46, 48, 50, 52, 61, 57, 54, 55, 58, 62, 64, 66, 68, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 40, 36, 33, 34, 37, 41, 43, 45, 47, 49, 51, 60, 56, 59, 63, 65, 67, 69, 70, 53, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 40)(32, 53)(33, 35)(34, 38)(36, 39)(37, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 52)(51, 61)(54, 56)(55, 59)(57, 60)(58, 63)(62, 65)(64, 67)(66, 69)(68, 70)
	local type(s) :: { ( 70^35 ) }
Outer automorphisms :: reflexible
Dual of E17.1499
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 35 f = 1
	degree seq :: [ 35^2 ]

E17.1501 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 35, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^35 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 34, 37, 39, 41, 43, 45, 47, 49, 55, 52, 54, 57, 59, 61, 63, 65, 67, 69, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 36, 33, 35, 38, 40, 42, 44, 46, 48, 50, 53, 56, 58, 60, 62, 64, 66, 68, 70, 51, 30, 26, 22, 18, 14, 10, 6)(71, 72)(73, 75)(74, 76)(77, 79)(78, 80)(81, 83)(82, 84)(85, 87)(86, 88)(89, 91)(90, 92)(93, 95)(94, 96)(97, 99)(98, 100)(101, 106)(102, 121)(103, 104)(105, 107)(108, 109)(110, 111)(112, 113)(114, 115)(116, 117)(118, 119)(120, 125)(122, 123)(124, 126)(127, 128)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 140, 140 ), ( 140^35 ) }
Outer automorphisms :: reflexible
Dual of E17.1505
Transitivity :: ET+
Graph:: simple bipartite
	v = 37 e = 70 f = 1
	degree seq :: [ 2^35, 35^2 ]

E17.1502 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 35, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^33, T2^-2 * T1^15 * T2^-18 ]
Map:: non-degenerate
	R = (1, 3, 9, 13, 17, 21, 25, 29, 33, 40, 39, 35, 37, 43, 45, 47, 49, 51, 53, 57, 64, 63, 59, 61, 67, 69, 55, 32, 27, 24, 19, 16, 11, 8, 2, 7, 4, 10, 14, 18, 22, 26, 30, 34, 42, 36, 41, 38, 44, 46, 48, 50, 52, 54, 58, 66, 60, 65, 62, 68, 70, 56, 31, 28, 23, 20, 15, 12, 6, 5)(71, 72, 76, 81, 85, 89, 93, 97, 101, 125, 140, 137, 132, 129, 130, 134, 128, 123, 122, 119, 118, 115, 114, 107, 111, 109, 112, 103, 100, 95, 92, 87, 84, 79, 74)(73, 77, 75, 78, 82, 86, 90, 94, 98, 102, 126, 139, 138, 131, 135, 133, 136, 127, 124, 121, 120, 117, 116, 113, 108, 105, 106, 110, 104, 99, 96, 91, 88, 83, 80)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 4^35 ), ( 4^70 ) }
Outer automorphisms :: reflexible
Dual of E17.1506
Transitivity :: ET+
Graph:: bipartite
	v = 3 e = 70 f = 35
	degree seq :: [ 35^2, 70 ]

E17.1503 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 35, 70})
Quotient :: edge
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-35 ]
Map::
	R = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 38)(32, 51)(33, 35)(34, 37)(36, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(49, 57)(52, 54)(53, 56)(55, 59)(58, 61)(60, 63)(62, 65)(64, 67)(66, 69)(68, 70)(71, 72, 75, 79, 83, 87, 91, 95, 99, 103, 104, 106, 109, 111, 113, 115, 117, 119, 122, 123, 125, 128, 130, 132, 134, 136, 138, 121, 101, 97, 93, 89, 85, 81, 77, 73, 76, 80, 84, 88, 92, 96, 100, 108, 105, 107, 110, 112, 114, 116, 118, 120, 127, 124, 126, 129, 131, 133, 135, 137, 139, 140, 102, 98, 94, 90, 86, 82, 78, 74)
	L = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)
	local type(s) :: { ( 70, 70 ), ( 70^70 ) }
Outer automorphisms :: reflexible
Dual of E17.1504
Transitivity :: ET+
Graph:: bipartite
	v = 36 e = 70 f = 2
	degree seq :: [ 2^35, 70 ]

E17.1504 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 35, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^35 ]
Map::
	R = (1, 71, 3, 73, 7, 77, 11, 81, 15, 85, 19, 89, 23, 93, 27, 97, 31, 101, 38, 108, 34, 104, 37, 107, 41, 111, 43, 113, 45, 115, 47, 117, 49, 119, 51, 121, 61, 131, 57, 127, 54, 124, 56, 126, 60, 130, 63, 133, 65, 135, 67, 137, 69, 139, 32, 102, 28, 98, 24, 94, 20, 90, 16, 86, 12, 82, 8, 78, 4, 74)(2, 72, 5, 75, 9, 79, 13, 83, 17, 87, 21, 91, 25, 95, 29, 99, 40, 110, 36, 106, 33, 103, 35, 105, 39, 109, 42, 112, 44, 114, 46, 116, 48, 118, 50, 120, 52, 122, 59, 129, 55, 125, 58, 128, 62, 132, 64, 134, 66, 136, 68, 138, 70, 140, 53, 123, 30, 100, 26, 96, 22, 92, 18, 88, 14, 84, 10, 80, 6, 76)
	L = (1, 72)(2, 71)(3, 75)(4, 76)(5, 73)(6, 74)(7, 79)(8, 80)(9, 77)(10, 78)(11, 83)(12, 84)(13, 81)(14, 82)(15, 87)(16, 88)(17, 85)(18, 86)(19, 91)(20, 92)(21, 89)(22, 90)(23, 95)(24, 96)(25, 93)(26, 94)(27, 99)(28, 100)(29, 97)(30, 98)(31, 110)(32, 123)(33, 104)(34, 103)(35, 107)(36, 108)(37, 105)(38, 106)(39, 111)(40, 101)(41, 109)(42, 113)(43, 112)(44, 115)(45, 114)(46, 117)(47, 116)(48, 119)(49, 118)(50, 121)(51, 120)(52, 131)(53, 102)(54, 125)(55, 124)(56, 128)(57, 129)(58, 126)(59, 127)(60, 132)(61, 122)(62, 130)(63, 134)(64, 133)(65, 136)(66, 135)(67, 138)(68, 137)(69, 140)(70, 139)
	local type(s) :: { ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.1503
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 70 f = 36
	degree seq :: [ 70^2 ]

E17.1505 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 35, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^2, T2^-2 * T1^33, T2^-2 * T1^15 * T2^-18 ]
Map::
	R = (1, 71, 3, 73, 9, 79, 13, 83, 17, 87, 21, 91, 25, 95, 29, 99, 33, 103, 57, 127, 69, 139, 66, 136, 60, 130, 65, 135, 62, 132, 68, 138, 56, 126, 53, 123, 52, 122, 49, 119, 48, 118, 45, 115, 42, 112, 36, 106, 41, 111, 38, 108, 44, 114, 32, 102, 27, 97, 24, 94, 19, 89, 16, 86, 11, 81, 8, 78, 2, 72, 7, 77, 4, 74, 10, 80, 14, 84, 18, 88, 22, 92, 26, 96, 30, 100, 34, 104, 58, 128, 70, 140, 64, 134, 63, 133, 59, 129, 61, 131, 67, 137, 55, 125, 54, 124, 51, 121, 50, 120, 47, 117, 46, 116, 40, 110, 39, 109, 35, 105, 37, 107, 43, 113, 31, 101, 28, 98, 23, 93, 20, 90, 15, 85, 12, 82, 6, 76, 5, 75)
	L = (1, 72)(2, 76)(3, 77)(4, 71)(5, 78)(6, 81)(7, 75)(8, 82)(9, 74)(10, 73)(11, 85)(12, 86)(13, 80)(14, 79)(15, 89)(16, 90)(17, 84)(18, 83)(19, 93)(20, 94)(21, 88)(22, 87)(23, 97)(24, 98)(25, 92)(26, 91)(27, 101)(28, 102)(29, 96)(30, 95)(31, 114)(32, 113)(33, 100)(34, 99)(35, 106)(36, 110)(37, 111)(38, 105)(39, 112)(40, 115)(41, 109)(42, 116)(43, 108)(44, 107)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 138)(56, 137)(57, 104)(58, 103)(59, 130)(60, 134)(61, 135)(62, 129)(63, 136)(64, 139)(65, 133)(66, 140)(67, 132)(68, 131)(69, 128)(70, 127)
	local type(s) :: { ( 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35, 2, 35 ) }
Outer automorphisms :: reflexible
Dual of E17.1501
Transitivity :: ET+ VT+ AT
Graph::
	v = 1 e = 70 f = 37
	degree seq :: [ 140 ]

E17.1506 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 35, 70})
Quotient :: loop
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T2 * T1^-35 ]
Map:: non-degenerate
	R = (1, 71, 3, 73)(2, 72, 6, 76)(4, 74, 7, 77)(5, 75, 10, 80)(8, 78, 11, 81)(9, 79, 14, 84)(12, 82, 15, 85)(13, 83, 18, 88)(16, 86, 19, 89)(17, 87, 22, 92)(20, 90, 23, 93)(21, 91, 26, 96)(24, 94, 27, 97)(25, 95, 30, 100)(28, 98, 31, 101)(29, 99, 38, 108)(32, 102, 51, 121)(33, 103, 35, 105)(34, 104, 37, 107)(36, 106, 40, 110)(39, 109, 42, 112)(41, 111, 44, 114)(43, 113, 46, 116)(45, 115, 48, 118)(47, 117, 50, 120)(49, 119, 57, 127)(52, 122, 54, 124)(53, 123, 56, 126)(55, 125, 59, 129)(58, 128, 61, 131)(60, 130, 63, 133)(62, 132, 65, 135)(64, 134, 67, 137)(66, 136, 69, 139)(68, 138, 70, 140)
	L = (1, 72)(2, 75)(3, 76)(4, 71)(5, 79)(6, 80)(7, 73)(8, 74)(9, 83)(10, 84)(11, 77)(12, 78)(13, 87)(14, 88)(15, 81)(16, 82)(17, 91)(18, 92)(19, 85)(20, 86)(21, 95)(22, 96)(23, 89)(24, 90)(25, 99)(26, 100)(27, 93)(28, 94)(29, 103)(30, 108)(31, 97)(32, 98)(33, 104)(34, 106)(35, 107)(36, 109)(37, 110)(38, 105)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 122)(50, 127)(51, 101)(52, 123)(53, 125)(54, 126)(55, 128)(56, 129)(57, 124)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 121)(69, 140)(70, 102)
	local type(s) :: { ( 35, 70, 35, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.1502
Transitivity :: ET+ VT+ AT
Graph::
	v = 35 e = 70 f = 3
	degree seq :: [ 4^35 ]

E17.1507 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 35, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^35, (Y3 * Y2^-1)^70 ]
Map::
	R = (1, 71, 2, 72)(3, 73, 5, 75)(4, 74, 6, 76)(7, 77, 9, 79)(8, 78, 10, 80)(11, 81, 13, 83)(12, 82, 14, 84)(15, 85, 17, 87)(16, 86, 18, 88)(19, 89, 21, 91)(20, 90, 22, 92)(23, 93, 25, 95)(24, 94, 26, 96)(27, 97, 29, 99)(28, 98, 30, 100)(31, 101, 37, 107)(32, 102, 51, 121)(33, 103, 34, 104)(35, 105, 36, 106)(38, 108, 39, 109)(40, 110, 41, 111)(42, 112, 43, 113)(44, 114, 45, 115)(46, 116, 47, 117)(48, 118, 49, 119)(50, 120, 56, 126)(52, 122, 53, 123)(54, 124, 55, 125)(57, 127, 58, 128)(59, 129, 60, 130)(61, 131, 62, 132)(63, 133, 64, 134)(65, 135, 66, 136)(67, 137, 68, 138)(69, 139, 70, 140)(141, 211, 143, 213, 147, 217, 151, 221, 155, 225, 159, 229, 163, 233, 167, 237, 171, 241, 173, 243, 175, 245, 178, 248, 180, 250, 182, 252, 184, 254, 186, 256, 188, 258, 190, 260, 192, 262, 194, 264, 197, 267, 199, 269, 201, 271, 203, 273, 205, 275, 207, 277, 209, 279, 172, 242, 168, 238, 164, 234, 160, 230, 156, 226, 152, 222, 148, 218, 144, 214)(142, 212, 145, 215, 149, 219, 153, 223, 157, 227, 161, 231, 165, 235, 169, 239, 177, 247, 174, 244, 176, 246, 179, 249, 181, 251, 183, 253, 185, 255, 187, 257, 189, 259, 196, 266, 193, 263, 195, 265, 198, 268, 200, 270, 202, 272, 204, 274, 206, 276, 208, 278, 210, 280, 191, 261, 170, 240, 166, 236, 162, 232, 158, 228, 154, 224, 150, 220, 146, 216)
	L = (1, 142)(2, 141)(3, 145)(4, 146)(5, 143)(6, 144)(7, 149)(8, 150)(9, 147)(10, 148)(11, 153)(12, 154)(13, 151)(14, 152)(15, 157)(16, 158)(17, 155)(18, 156)(19, 161)(20, 162)(21, 159)(22, 160)(23, 165)(24, 166)(25, 163)(26, 164)(27, 169)(28, 170)(29, 167)(30, 168)(31, 177)(32, 191)(33, 174)(34, 173)(35, 176)(36, 175)(37, 171)(38, 179)(39, 178)(40, 181)(41, 180)(42, 183)(43, 182)(44, 185)(45, 184)(46, 187)(47, 186)(48, 189)(49, 188)(50, 196)(51, 172)(52, 193)(53, 192)(54, 195)(55, 194)(56, 190)(57, 198)(58, 197)(59, 200)(60, 199)(61, 202)(62, 201)(63, 204)(64, 203)(65, 206)(66, 205)(67, 208)(68, 207)(69, 210)(70, 209)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 140, 2, 140 ), ( 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140, 2, 140 ) }
Outer automorphisms :: reflexible
Dual of E17.1510
Graph:: bipartite
	v = 37 e = 140 f = 71
	degree seq :: [ 4^35, 70^2 ]

E17.1508 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 35, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (Y1, Y2^-1), (Y3^-1 * Y1^-1)^2, Y1^16 * Y2^16, Y1^15 * Y2^-1 * Y1 * Y2^-17 * Y1, Y1^35, Y2^160 * Y1^-15 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 11, 81, 15, 85, 19, 89, 23, 93, 27, 97, 31, 101, 39, 109, 37, 107, 40, 110, 42, 112, 44, 114, 46, 116, 48, 118, 50, 120, 52, 122, 55, 125, 56, 126, 58, 128, 61, 131, 63, 133, 65, 135, 67, 137, 69, 139, 54, 124, 33, 103, 30, 100, 25, 95, 22, 92, 17, 87, 14, 84, 9, 79, 4, 74)(3, 73, 7, 77, 5, 75, 8, 78, 12, 82, 16, 86, 20, 90, 24, 94, 28, 98, 32, 102, 35, 105, 36, 106, 38, 108, 41, 111, 43, 113, 45, 115, 47, 117, 49, 119, 51, 121, 59, 129, 57, 127, 60, 130, 62, 132, 64, 134, 66, 136, 68, 138, 70, 140, 53, 123, 34, 104, 29, 99, 26, 96, 21, 91, 18, 88, 13, 83, 10, 80)(141, 211, 143, 213, 149, 219, 153, 223, 157, 227, 161, 231, 165, 235, 169, 239, 173, 243, 193, 263, 209, 279, 208, 278, 205, 275, 204, 274, 201, 271, 200, 270, 196, 266, 199, 269, 192, 262, 189, 259, 188, 258, 185, 255, 184, 254, 181, 251, 180, 250, 176, 246, 179, 249, 172, 242, 167, 237, 164, 234, 159, 229, 156, 226, 151, 221, 148, 218, 142, 212, 147, 217, 144, 214, 150, 220, 154, 224, 158, 228, 162, 232, 166, 236, 170, 240, 174, 244, 194, 264, 210, 280, 207, 277, 206, 276, 203, 273, 202, 272, 198, 268, 197, 267, 195, 265, 191, 261, 190, 260, 187, 257, 186, 256, 183, 253, 182, 252, 178, 248, 177, 247, 175, 245, 171, 241, 168, 238, 163, 233, 160, 230, 155, 225, 152, 222, 146, 216, 145, 215)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 145)(7, 144)(8, 142)(9, 153)(10, 154)(11, 148)(12, 146)(13, 157)(14, 158)(15, 152)(16, 151)(17, 161)(18, 162)(19, 156)(20, 155)(21, 165)(22, 166)(23, 160)(24, 159)(25, 169)(26, 170)(27, 164)(28, 163)(29, 173)(30, 174)(31, 168)(32, 167)(33, 193)(34, 194)(35, 171)(36, 179)(37, 175)(38, 177)(39, 172)(40, 176)(41, 180)(42, 178)(43, 182)(44, 181)(45, 184)(46, 183)(47, 186)(48, 185)(49, 188)(50, 187)(51, 190)(52, 189)(53, 209)(54, 210)(55, 191)(56, 199)(57, 195)(58, 197)(59, 192)(60, 196)(61, 200)(62, 198)(63, 202)(64, 201)(65, 204)(66, 203)(67, 206)(68, 205)(69, 208)(70, 207)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E17.1509
Graph:: bipartite
	v = 3 e = 140 f = 105
	degree seq :: [ 70^2, 140 ]

E17.1509 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 35, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, Y3 * Y2 * Y3^-1 * Y2, Y3^35 * Y2, (Y3^-1 * Y1^-1)^70 ]
Map::
	R = (1, 71)(2, 72)(3, 73)(4, 74)(5, 75)(6, 76)(7, 77)(8, 78)(9, 79)(10, 80)(11, 81)(12, 82)(13, 83)(14, 84)(15, 85)(16, 86)(17, 87)(18, 88)(19, 89)(20, 90)(21, 91)(22, 92)(23, 93)(24, 94)(25, 95)(26, 96)(27, 97)(28, 98)(29, 99)(30, 100)(31, 101)(32, 102)(33, 103)(34, 104)(35, 105)(36, 106)(37, 107)(38, 108)(39, 109)(40, 110)(41, 111)(42, 112)(43, 113)(44, 114)(45, 115)(46, 116)(47, 117)(48, 118)(49, 119)(50, 120)(51, 121)(52, 122)(53, 123)(54, 124)(55, 125)(56, 126)(57, 127)(58, 128)(59, 129)(60, 130)(61, 131)(62, 132)(63, 133)(64, 134)(65, 135)(66, 136)(67, 137)(68, 138)(69, 139)(70, 140)(141, 211, 142, 212)(143, 213, 145, 215)(144, 214, 146, 216)(147, 217, 149, 219)(148, 218, 150, 220)(151, 221, 153, 223)(152, 222, 154, 224)(155, 225, 157, 227)(156, 226, 158, 228)(159, 229, 161, 231)(160, 230, 162, 232)(163, 233, 165, 235)(164, 234, 166, 236)(167, 237, 169, 239)(168, 238, 170, 240)(171, 241, 173, 243)(172, 242, 189, 259)(174, 244, 175, 245)(176, 246, 177, 247)(178, 248, 179, 249)(180, 250, 181, 251)(182, 252, 183, 253)(184, 254, 185, 255)(186, 256, 187, 257)(188, 258, 190, 260)(191, 261, 192, 262)(193, 263, 194, 264)(195, 265, 196, 266)(197, 267, 198, 268)(199, 269, 200, 270)(201, 271, 202, 272)(203, 273, 204, 274)(205, 275, 207, 277)(206, 276, 210, 280)(208, 278, 209, 279)
	L = (1, 143)(2, 145)(3, 147)(4, 141)(5, 149)(6, 142)(7, 151)(8, 144)(9, 153)(10, 146)(11, 155)(12, 148)(13, 157)(14, 150)(15, 159)(16, 152)(17, 161)(18, 154)(19, 163)(20, 156)(21, 165)(22, 158)(23, 167)(24, 160)(25, 169)(26, 162)(27, 171)(28, 164)(29, 173)(30, 166)(31, 175)(32, 168)(33, 174)(34, 176)(35, 177)(36, 178)(37, 179)(38, 180)(39, 181)(40, 182)(41, 183)(42, 184)(43, 185)(44, 186)(45, 187)(46, 188)(47, 190)(48, 192)(49, 170)(50, 191)(51, 193)(52, 194)(53, 195)(54, 196)(55, 197)(56, 198)(57, 199)(58, 200)(59, 201)(60, 202)(61, 203)(62, 204)(63, 205)(64, 207)(65, 209)(66, 189)(67, 208)(68, 210)(69, 206)(70, 172)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 70, 140 ), ( 70, 140, 70, 140 ) }
Outer automorphisms :: reflexible
Dual of E17.1508
Graph:: simple bipartite
	v = 105 e = 140 f = 3
	degree seq :: [ 2^70, 4^35 ]

E17.1510 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 35, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, Y3 * Y1 * Y3 * Y1^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-35 ]
Map::
	R = (1, 71, 2, 72, 5, 75, 9, 79, 13, 83, 17, 87, 21, 91, 25, 95, 29, 99, 40, 110, 36, 106, 33, 103, 34, 104, 37, 107, 41, 111, 44, 114, 47, 117, 49, 119, 51, 121, 53, 123, 63, 133, 59, 129, 56, 126, 57, 127, 60, 130, 64, 134, 67, 137, 55, 125, 31, 101, 27, 97, 23, 93, 19, 89, 15, 85, 11, 81, 7, 77, 3, 73, 6, 76, 10, 80, 14, 84, 18, 88, 22, 92, 26, 96, 30, 100, 46, 116, 43, 113, 39, 109, 35, 105, 38, 108, 42, 112, 45, 115, 48, 118, 50, 120, 52, 122, 54, 124, 69, 139, 66, 136, 62, 132, 58, 128, 61, 131, 65, 135, 68, 138, 70, 140, 32, 102, 28, 98, 24, 94, 20, 90, 16, 86, 12, 82, 8, 78, 4, 74)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 146)(3, 141)(4, 147)(5, 150)(6, 142)(7, 144)(8, 151)(9, 154)(10, 145)(11, 148)(12, 155)(13, 158)(14, 149)(15, 152)(16, 159)(17, 162)(18, 153)(19, 156)(20, 163)(21, 166)(22, 157)(23, 160)(24, 167)(25, 170)(26, 161)(27, 164)(28, 171)(29, 186)(30, 165)(31, 168)(32, 195)(33, 175)(34, 178)(35, 173)(36, 179)(37, 182)(38, 174)(39, 176)(40, 183)(41, 185)(42, 177)(43, 180)(44, 188)(45, 181)(46, 169)(47, 190)(48, 184)(49, 192)(50, 187)(51, 194)(52, 189)(53, 209)(54, 191)(55, 172)(56, 198)(57, 201)(58, 196)(59, 202)(60, 205)(61, 197)(62, 199)(63, 206)(64, 208)(65, 200)(66, 203)(67, 210)(68, 204)(69, 193)(70, 207)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 70 ), ( 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70, 4, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.1507
Graph:: bipartite
	v = 71 e = 140 f = 37
	degree seq :: [ 2^70, 140 ]

E17.1511 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 35, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^35 * Y1, (Y3 * Y2^-1)^35 ]
Map::
	R = (1, 71, 2, 72)(3, 73, 5, 75)(4, 74, 6, 76)(7, 77, 9, 79)(8, 78, 10, 80)(11, 81, 13, 83)(12, 82, 14, 84)(15, 85, 17, 87)(16, 86, 18, 88)(19, 89, 21, 91)(20, 90, 22, 92)(23, 93, 25, 95)(24, 94, 26, 96)(27, 97, 29, 99)(28, 98, 30, 100)(31, 101, 40, 110)(32, 102, 53, 123)(33, 103, 34, 104)(35, 105, 37, 107)(36, 106, 38, 108)(39, 109, 41, 111)(42, 112, 43, 113)(44, 114, 45, 115)(46, 116, 47, 117)(48, 118, 49, 119)(50, 120, 51, 121)(52, 122, 61, 131)(54, 124, 55, 125)(56, 126, 58, 128)(57, 127, 59, 129)(60, 130, 62, 132)(63, 133, 64, 134)(65, 135, 66, 136)(67, 137, 68, 138)(69, 139, 70, 140)(141, 211, 143, 213, 147, 217, 151, 221, 155, 225, 159, 229, 163, 233, 167, 237, 171, 241, 178, 248, 174, 244, 177, 247, 181, 251, 183, 253, 185, 255, 187, 257, 189, 259, 191, 261, 201, 271, 197, 267, 194, 264, 196, 266, 200, 270, 203, 273, 205, 275, 207, 277, 209, 279, 193, 263, 170, 240, 166, 236, 162, 232, 158, 228, 154, 224, 150, 220, 146, 216, 142, 212, 145, 215, 149, 219, 153, 223, 157, 227, 161, 231, 165, 235, 169, 239, 180, 250, 176, 246, 173, 243, 175, 245, 179, 249, 182, 252, 184, 254, 186, 256, 188, 258, 190, 260, 192, 262, 199, 269, 195, 265, 198, 268, 202, 272, 204, 274, 206, 276, 208, 278, 210, 280, 172, 242, 168, 238, 164, 234, 160, 230, 156, 226, 152, 222, 148, 218, 144, 214)
	L = (1, 142)(2, 141)(3, 145)(4, 146)(5, 143)(6, 144)(7, 149)(8, 150)(9, 147)(10, 148)(11, 153)(12, 154)(13, 151)(14, 152)(15, 157)(16, 158)(17, 155)(18, 156)(19, 161)(20, 162)(21, 159)(22, 160)(23, 165)(24, 166)(25, 163)(26, 164)(27, 169)(28, 170)(29, 167)(30, 168)(31, 180)(32, 193)(33, 174)(34, 173)(35, 177)(36, 178)(37, 175)(38, 176)(39, 181)(40, 171)(41, 179)(42, 183)(43, 182)(44, 185)(45, 184)(46, 187)(47, 186)(48, 189)(49, 188)(50, 191)(51, 190)(52, 201)(53, 172)(54, 195)(55, 194)(56, 198)(57, 199)(58, 196)(59, 197)(60, 202)(61, 192)(62, 200)(63, 204)(64, 203)(65, 206)(66, 205)(67, 208)(68, 207)(69, 210)(70, 209)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 2, 70, 2, 70 ), ( 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70, 2, 70 ) }
Outer automorphisms :: reflexible
Dual of E17.1512
Graph:: bipartite
	v = 36 e = 140 f = 72
	degree seq :: [ 4^35, 140 ]

E17.1512 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 35, 70})
Quotient :: dipole
Aut^+ = C70 (small group id <70, 4>)
Aut   = D140 (small group id <140, 10>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^-1 * Y3^-2 * Y1^-1, (R * Y3)^2, (R * Y1)^2, (Y3, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^15 * Y3^-18, Y3^-2 * Y1^33, (Y3 * Y2^-1)^70 ]
Map::
	R = (1, 71, 2, 72, 6, 76, 11, 81, 15, 85, 19, 89, 23, 93, 27, 97, 31, 101, 37, 107, 41, 111, 39, 109, 42, 112, 44, 114, 46, 116, 48, 118, 50, 120, 52, 122, 54, 124, 60, 130, 57, 127, 58, 128, 62, 132, 65, 135, 67, 137, 69, 139, 56, 126, 33, 103, 30, 100, 25, 95, 22, 92, 17, 87, 14, 84, 9, 79, 4, 74)(3, 73, 7, 77, 5, 75, 8, 78, 12, 82, 16, 86, 20, 90, 24, 94, 28, 98, 32, 102, 38, 108, 35, 105, 36, 106, 40, 110, 43, 113, 45, 115, 47, 117, 49, 119, 51, 121, 53, 123, 59, 129, 63, 133, 61, 131, 64, 134, 66, 136, 68, 138, 70, 140, 55, 125, 34, 104, 29, 99, 26, 96, 21, 91, 18, 88, 13, 83, 10, 80)(141, 211)(142, 212)(143, 213)(144, 214)(145, 215)(146, 216)(147, 217)(148, 218)(149, 219)(150, 220)(151, 221)(152, 222)(153, 223)(154, 224)(155, 225)(156, 226)(157, 227)(158, 228)(159, 229)(160, 230)(161, 231)(162, 232)(163, 233)(164, 234)(165, 235)(166, 236)(167, 237)(168, 238)(169, 239)(170, 240)(171, 241)(172, 242)(173, 243)(174, 244)(175, 245)(176, 246)(177, 247)(178, 248)(179, 249)(180, 250)(181, 251)(182, 252)(183, 253)(184, 254)(185, 255)(186, 256)(187, 257)(188, 258)(189, 259)(190, 260)(191, 261)(192, 262)(193, 263)(194, 264)(195, 265)(196, 266)(197, 267)(198, 268)(199, 269)(200, 270)(201, 271)(202, 272)(203, 273)(204, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)
	L = (1, 143)(2, 147)(3, 149)(4, 150)(5, 141)(6, 145)(7, 144)(8, 142)(9, 153)(10, 154)(11, 148)(12, 146)(13, 157)(14, 158)(15, 152)(16, 151)(17, 161)(18, 162)(19, 156)(20, 155)(21, 165)(22, 166)(23, 160)(24, 159)(25, 169)(26, 170)(27, 164)(28, 163)(29, 173)(30, 174)(31, 168)(32, 167)(33, 195)(34, 196)(35, 177)(36, 181)(37, 172)(38, 171)(39, 175)(40, 179)(41, 178)(42, 176)(43, 182)(44, 180)(45, 184)(46, 183)(47, 186)(48, 185)(49, 188)(50, 187)(51, 190)(52, 189)(53, 192)(54, 191)(55, 209)(56, 210)(57, 199)(58, 203)(59, 194)(60, 193)(61, 197)(62, 201)(63, 200)(64, 198)(65, 204)(66, 202)(67, 206)(68, 205)(69, 208)(70, 207)(71, 211)(72, 212)(73, 213)(74, 214)(75, 215)(76, 216)(77, 217)(78, 218)(79, 219)(80, 220)(81, 221)(82, 222)(83, 223)(84, 224)(85, 225)(86, 226)(87, 227)(88, 228)(89, 229)(90, 230)(91, 231)(92, 232)(93, 233)(94, 234)(95, 235)(96, 236)(97, 237)(98, 238)(99, 239)(100, 240)(101, 241)(102, 242)(103, 243)(104, 244)(105, 245)(106, 246)(107, 247)(108, 248)(109, 249)(110, 250)(111, 251)(112, 252)(113, 253)(114, 254)(115, 255)(116, 256)(117, 257)(118, 258)(119, 259)(120, 260)(121, 261)(122, 262)(123, 263)(124, 264)(125, 265)(126, 266)(127, 267)(128, 268)(129, 269)(130, 270)(131, 271)(132, 272)(133, 273)(134, 274)(135, 275)(136, 276)(137, 277)(138, 278)(139, 279)(140, 280)
	local type(s) :: { ( 4, 140 ), ( 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140, 4, 140 ) }
Outer automorphisms :: reflexible
Dual of E17.1511
Graph:: simple bipartite
	v = 72 e = 140 f = 36
	degree seq :: [ 2^70, 70^2 ]

E17.1513 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 18})
Quotient :: halfedge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1, (Y2 * Y1)^4, (Y3 * Y2)^9 ]
Map:: non-degenerate
	R = (1, 74, 2, 73)(3, 79, 7, 75)(4, 81, 9, 76)(5, 83, 11, 77)(6, 85, 13, 78)(8, 84, 12, 80)(10, 86, 14, 82)(15, 92, 20, 87)(16, 93, 21, 88)(17, 97, 25, 89)(18, 95, 23, 90)(19, 99, 27, 91)(22, 101, 29, 94)(24, 103, 31, 96)(26, 102, 30, 98)(28, 104, 32, 100)(33, 109, 37, 105)(34, 113, 41, 106)(35, 111, 39, 107)(36, 115, 43, 108)(38, 117, 45, 110)(40, 119, 47, 112)(42, 118, 46, 114)(44, 120, 48, 116)(49, 125, 53, 121)(50, 129, 57, 122)(51, 127, 55, 123)(52, 131, 59, 124)(54, 133, 61, 126)(56, 135, 63, 128)(58, 134, 62, 130)(60, 136, 64, 132)(65, 140, 68, 137)(66, 143, 71, 138)(67, 142, 70, 139)(69, 144, 72, 141)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 25)(19, 28)(21, 29)(24, 32)(26, 34)(27, 35)(30, 38)(31, 39)(33, 41)(36, 44)(37, 45)(40, 48)(42, 50)(43, 51)(46, 54)(47, 55)(49, 57)(52, 60)(53, 61)(56, 64)(58, 66)(59, 67)(62, 69)(63, 70)(65, 71)(68, 72)(73, 76)(74, 78)(75, 80)(77, 84)(79, 88)(81, 87)(82, 91)(83, 93)(85, 92)(86, 96)(89, 98)(90, 99)(94, 102)(95, 103)(97, 105)(100, 108)(101, 109)(104, 112)(106, 114)(107, 115)(110, 118)(111, 119)(113, 121)(116, 124)(117, 125)(120, 128)(122, 130)(123, 131)(126, 134)(127, 135)(129, 137)(132, 138)(133, 140)(136, 141)(139, 143)(142, 144)
	local type(s) :: { ( 36^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1514
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 36 e = 72 f = 4
	degree seq :: [ 4^36 ]

E17.1514 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 18})
Quotient :: halfedge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1^-2 * Y2, (Y1^-1 * Y2 * Y3)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1^-4)^2, Y3 * Y1^4 * Y2 * Y1^-4 ]
Map:: non-degenerate
	R = (1, 74, 2, 78, 6, 90, 18, 110, 38, 129, 57, 124, 52, 106, 34, 85, 13, 97, 25, 82, 10, 94, 22, 113, 41, 132, 60, 128, 56, 109, 37, 89, 17, 77, 5, 73)(3, 81, 9, 99, 27, 121, 49, 137, 65, 142, 70, 131, 59, 115, 43, 92, 20, 86, 14, 76, 4, 84, 12, 104, 32, 123, 51, 130, 58, 114, 42, 91, 19, 83, 11, 75)(7, 93, 21, 87, 15, 107, 35, 126, 54, 140, 68, 141, 69, 134, 62, 112, 40, 98, 26, 80, 8, 96, 24, 88, 16, 108, 36, 127, 55, 133, 61, 111, 39, 95, 23, 79)(28, 116, 44, 102, 30, 118, 46, 135, 63, 143, 71, 139, 67, 125, 53, 105, 33, 120, 48, 101, 29, 117, 45, 103, 31, 119, 47, 136, 64, 144, 72, 138, 66, 122, 50, 100)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 39)(21, 44)(22, 40)(23, 46)(24, 48)(26, 45)(31, 43)(32, 52)(35, 50)(36, 53)(37, 54)(38, 58)(41, 59)(42, 63)(47, 62)(49, 66)(51, 67)(55, 57)(56, 65)(60, 69)(61, 71)(64, 70)(68, 72)(73, 76)(74, 80)(75, 82)(77, 88)(78, 92)(79, 94)(81, 101)(83, 103)(84, 100)(85, 99)(86, 102)(87, 97)(89, 104)(90, 112)(91, 113)(93, 117)(95, 119)(96, 116)(98, 118)(105, 121)(106, 126)(107, 120)(108, 122)(109, 127)(110, 131)(111, 132)(114, 136)(115, 135)(123, 138)(124, 137)(125, 140)(128, 130)(129, 141)(133, 144)(134, 143)(139, 142)
	local type(s) :: { ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E17.1513
Transitivity :: VT+ AT
Graph:: bipartite
	v = 4 e = 72 f = 36
	degree seq :: [ 36^4 ]

E17.1515 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 18})
Quotient :: edge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^9 ]
Map::
	R = (1, 73, 4, 76)(2, 74, 6, 78)(3, 75, 8, 80)(5, 77, 12, 84)(7, 79, 16, 88)(9, 81, 18, 90)(10, 82, 19, 91)(11, 83, 21, 93)(13, 85, 23, 95)(14, 86, 24, 96)(15, 87, 26, 98)(17, 89, 28, 100)(20, 92, 30, 102)(22, 94, 32, 104)(25, 97, 34, 106)(27, 99, 36, 108)(29, 101, 38, 110)(31, 103, 40, 112)(33, 105, 42, 114)(35, 107, 44, 116)(37, 109, 46, 118)(39, 111, 48, 120)(41, 113, 50, 122)(43, 115, 52, 124)(45, 117, 54, 126)(47, 119, 56, 128)(49, 121, 58, 130)(51, 123, 60, 132)(53, 125, 62, 134)(55, 127, 64, 136)(57, 129, 65, 137)(59, 131, 67, 139)(61, 133, 68, 140)(63, 135, 70, 142)(66, 138, 71, 143)(69, 141, 72, 144)(145, 146)(147, 151)(148, 153)(149, 155)(150, 157)(152, 161)(154, 160)(156, 166)(158, 165)(159, 169)(162, 167)(163, 172)(164, 173)(168, 176)(170, 179)(171, 178)(174, 183)(175, 182)(177, 185)(180, 188)(181, 189)(184, 192)(186, 195)(187, 194)(190, 199)(191, 198)(193, 201)(196, 204)(197, 205)(200, 208)(202, 210)(203, 209)(206, 213)(207, 212)(211, 215)(214, 216)(217, 219)(218, 221)(220, 226)(222, 230)(223, 231)(224, 229)(225, 228)(227, 236)(232, 243)(233, 242)(234, 240)(235, 239)(237, 247)(238, 246)(241, 249)(244, 252)(245, 253)(248, 256)(250, 259)(251, 258)(254, 263)(255, 262)(257, 265)(260, 268)(261, 269)(264, 272)(266, 275)(267, 274)(270, 279)(271, 278)(273, 277)(276, 283)(280, 286)(281, 285)(282, 284)(287, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 72, 72 ), ( 72^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1518
Graph:: simple bipartite
	v = 108 e = 144 f = 4
	degree seq :: [ 2^72, 4^36 ]

E17.1516 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 18})
Quotient :: edge^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-2 * Y2 * Y1 * Y2, (Y2 * Y3 * Y1)^2, (Y3^-2 * Y1)^2, (Y3^2 * Y2)^2, (Y3^-1 * Y1)^4, Y3^-3 * Y1 * Y3^4 * Y2 * Y3^-1 ]
Map::
	R = (1, 73, 4, 76, 14, 86, 34, 106, 54, 126, 60, 132, 40, 112, 20, 92, 6, 78, 19, 91, 9, 81, 27, 99, 50, 122, 66, 138, 56, 128, 37, 109, 17, 89, 5, 77)(2, 74, 7, 79, 23, 95, 45, 117, 62, 134, 52, 124, 29, 101, 11, 83, 3, 75, 10, 82, 18, 90, 38, 110, 58, 130, 70, 142, 64, 136, 48, 120, 26, 98, 8, 80)(12, 84, 30, 102, 15, 87, 35, 107, 55, 127, 68, 140, 53, 125, 33, 105, 13, 85, 32, 104, 16, 88, 36, 108, 39, 111, 59, 131, 71, 143, 65, 137, 49, 121, 31, 103)(21, 93, 41, 113, 24, 96, 46, 118, 63, 135, 72, 144, 61, 133, 44, 116, 22, 94, 43, 115, 25, 97, 47, 119, 28, 100, 51, 123, 67, 139, 69, 141, 57, 129, 42, 114)(145, 146)(147, 153)(148, 156)(149, 159)(150, 162)(151, 165)(152, 168)(154, 169)(155, 172)(157, 171)(158, 170)(160, 163)(161, 167)(164, 183)(166, 182)(173, 194)(174, 185)(175, 190)(176, 191)(177, 195)(178, 193)(179, 186)(180, 187)(181, 199)(184, 202)(188, 203)(189, 201)(192, 207)(196, 211)(197, 210)(198, 208)(200, 206)(204, 215)(205, 214)(209, 216)(212, 213)(217, 219)(218, 222)(220, 229)(221, 232)(223, 238)(224, 241)(225, 242)(226, 237)(227, 240)(228, 235)(230, 245)(231, 236)(233, 234)(239, 256)(243, 265)(244, 264)(246, 259)(247, 263)(248, 257)(249, 262)(250, 269)(251, 260)(252, 258)(253, 255)(254, 273)(261, 277)(266, 280)(267, 281)(268, 279)(270, 278)(271, 276)(272, 274)(275, 285)(282, 287)(283, 286)(284, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 8 ), ( 8^36 ) }
Outer automorphisms :: reflexible
Dual of E17.1517
Graph:: simple bipartite
	v = 76 e = 144 f = 36
	degree seq :: [ 2^72, 36^4 ]

E17.1517 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 18})
Quotient :: loop^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3 * Y1)^4, (Y2 * Y1)^9 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220)(2, 74, 146, 218, 6, 78, 150, 222)(3, 75, 147, 219, 8, 80, 152, 224)(5, 77, 149, 221, 12, 84, 156, 228)(7, 79, 151, 223, 16, 88, 160, 232)(9, 81, 153, 225, 18, 90, 162, 234)(10, 82, 154, 226, 19, 91, 163, 235)(11, 83, 155, 227, 21, 93, 165, 237)(13, 85, 157, 229, 23, 95, 167, 239)(14, 86, 158, 230, 24, 96, 168, 240)(15, 87, 159, 231, 26, 98, 170, 242)(17, 89, 161, 233, 28, 100, 172, 244)(20, 92, 164, 236, 30, 102, 174, 246)(22, 94, 166, 238, 32, 104, 176, 248)(25, 97, 169, 241, 34, 106, 178, 250)(27, 99, 171, 243, 36, 108, 180, 252)(29, 101, 173, 245, 38, 110, 182, 254)(31, 103, 175, 247, 40, 112, 184, 256)(33, 105, 177, 249, 42, 114, 186, 258)(35, 107, 179, 251, 44, 116, 188, 260)(37, 109, 181, 253, 46, 118, 190, 262)(39, 111, 183, 255, 48, 120, 192, 264)(41, 113, 185, 257, 50, 122, 194, 266)(43, 115, 187, 259, 52, 124, 196, 268)(45, 117, 189, 261, 54, 126, 198, 270)(47, 119, 191, 263, 56, 128, 200, 272)(49, 121, 193, 265, 58, 130, 202, 274)(51, 123, 195, 267, 60, 132, 204, 276)(53, 125, 197, 269, 62, 134, 206, 278)(55, 127, 199, 271, 64, 136, 208, 280)(57, 129, 201, 273, 65, 137, 209, 281)(59, 131, 203, 275, 67, 139, 211, 283)(61, 133, 205, 277, 68, 140, 212, 284)(63, 135, 207, 279, 70, 142, 214, 286)(66, 138, 210, 282, 71, 143, 215, 287)(69, 141, 213, 285, 72, 144, 216, 288)
	L = (1, 74)(2, 73)(3, 79)(4, 81)(5, 83)(6, 85)(7, 75)(8, 89)(9, 76)(10, 88)(11, 77)(12, 94)(13, 78)(14, 93)(15, 97)(16, 82)(17, 80)(18, 95)(19, 100)(20, 101)(21, 86)(22, 84)(23, 90)(24, 104)(25, 87)(26, 107)(27, 106)(28, 91)(29, 92)(30, 111)(31, 110)(32, 96)(33, 113)(34, 99)(35, 98)(36, 116)(37, 117)(38, 103)(39, 102)(40, 120)(41, 105)(42, 123)(43, 122)(44, 108)(45, 109)(46, 127)(47, 126)(48, 112)(49, 129)(50, 115)(51, 114)(52, 132)(53, 133)(54, 119)(55, 118)(56, 136)(57, 121)(58, 138)(59, 137)(60, 124)(61, 125)(62, 141)(63, 140)(64, 128)(65, 131)(66, 130)(67, 143)(68, 135)(69, 134)(70, 144)(71, 139)(72, 142)(145, 219)(146, 221)(147, 217)(148, 226)(149, 218)(150, 230)(151, 231)(152, 229)(153, 228)(154, 220)(155, 236)(156, 225)(157, 224)(158, 222)(159, 223)(160, 243)(161, 242)(162, 240)(163, 239)(164, 227)(165, 247)(166, 246)(167, 235)(168, 234)(169, 249)(170, 233)(171, 232)(172, 252)(173, 253)(174, 238)(175, 237)(176, 256)(177, 241)(178, 259)(179, 258)(180, 244)(181, 245)(182, 263)(183, 262)(184, 248)(185, 265)(186, 251)(187, 250)(188, 268)(189, 269)(190, 255)(191, 254)(192, 272)(193, 257)(194, 275)(195, 274)(196, 260)(197, 261)(198, 279)(199, 278)(200, 264)(201, 277)(202, 267)(203, 266)(204, 283)(205, 273)(206, 271)(207, 270)(208, 286)(209, 285)(210, 284)(211, 276)(212, 282)(213, 281)(214, 280)(215, 288)(216, 287)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.1516
Transitivity :: VT+
Graph:: bipartite
	v = 36 e = 144 f = 76
	degree seq :: [ 8^36 ]

E17.1518 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 18})
Quotient :: loop^2
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y3^-2 * Y2 * Y1 * Y2, (Y2 * Y3 * Y1)^2, (Y3^-2 * Y1)^2, (Y3^2 * Y2)^2, (Y3^-1 * Y1)^4, Y3^-3 * Y1 * Y3^4 * Y2 * Y3^-1 ]
Map::
	R = (1, 73, 145, 217, 4, 76, 148, 220, 14, 86, 158, 230, 34, 106, 178, 250, 54, 126, 198, 270, 60, 132, 204, 276, 40, 112, 184, 256, 20, 92, 164, 236, 6, 78, 150, 222, 19, 91, 163, 235, 9, 81, 153, 225, 27, 99, 171, 243, 50, 122, 194, 266, 66, 138, 210, 282, 56, 128, 200, 272, 37, 109, 181, 253, 17, 89, 161, 233, 5, 77, 149, 221)(2, 74, 146, 218, 7, 79, 151, 223, 23, 95, 167, 239, 45, 117, 189, 261, 62, 134, 206, 278, 52, 124, 196, 268, 29, 101, 173, 245, 11, 83, 155, 227, 3, 75, 147, 219, 10, 82, 154, 226, 18, 90, 162, 234, 38, 110, 182, 254, 58, 130, 202, 274, 70, 142, 214, 286, 64, 136, 208, 280, 48, 120, 192, 264, 26, 98, 170, 242, 8, 80, 152, 224)(12, 84, 156, 228, 30, 102, 174, 246, 15, 87, 159, 231, 35, 107, 179, 251, 55, 127, 199, 271, 68, 140, 212, 284, 53, 125, 197, 269, 33, 105, 177, 249, 13, 85, 157, 229, 32, 104, 176, 248, 16, 88, 160, 232, 36, 108, 180, 252, 39, 111, 183, 255, 59, 131, 203, 275, 71, 143, 215, 287, 65, 137, 209, 281, 49, 121, 193, 265, 31, 103, 175, 247)(21, 93, 165, 237, 41, 113, 185, 257, 24, 96, 168, 240, 46, 118, 190, 262, 63, 135, 207, 279, 72, 144, 216, 288, 61, 133, 205, 277, 44, 116, 188, 260, 22, 94, 166, 238, 43, 115, 187, 259, 25, 97, 169, 241, 47, 119, 191, 263, 28, 100, 172, 244, 51, 123, 195, 267, 67, 139, 211, 283, 69, 141, 213, 285, 57, 129, 201, 273, 42, 114, 186, 258)
	L = (1, 74)(2, 73)(3, 81)(4, 84)(5, 87)(6, 90)(7, 93)(8, 96)(9, 75)(10, 97)(11, 100)(12, 76)(13, 99)(14, 98)(15, 77)(16, 91)(17, 95)(18, 78)(19, 88)(20, 111)(21, 79)(22, 110)(23, 89)(24, 80)(25, 82)(26, 86)(27, 85)(28, 83)(29, 122)(30, 113)(31, 118)(32, 119)(33, 123)(34, 121)(35, 114)(36, 115)(37, 127)(38, 94)(39, 92)(40, 130)(41, 102)(42, 107)(43, 108)(44, 131)(45, 129)(46, 103)(47, 104)(48, 135)(49, 106)(50, 101)(51, 105)(52, 139)(53, 138)(54, 136)(55, 109)(56, 134)(57, 117)(58, 112)(59, 116)(60, 143)(61, 142)(62, 128)(63, 120)(64, 126)(65, 144)(66, 125)(67, 124)(68, 141)(69, 140)(70, 133)(71, 132)(72, 137)(145, 219)(146, 222)(147, 217)(148, 229)(149, 232)(150, 218)(151, 238)(152, 241)(153, 242)(154, 237)(155, 240)(156, 235)(157, 220)(158, 245)(159, 236)(160, 221)(161, 234)(162, 233)(163, 228)(164, 231)(165, 226)(166, 223)(167, 256)(168, 227)(169, 224)(170, 225)(171, 265)(172, 264)(173, 230)(174, 259)(175, 263)(176, 257)(177, 262)(178, 269)(179, 260)(180, 258)(181, 255)(182, 273)(183, 253)(184, 239)(185, 248)(186, 252)(187, 246)(188, 251)(189, 277)(190, 249)(191, 247)(192, 244)(193, 243)(194, 280)(195, 281)(196, 279)(197, 250)(198, 278)(199, 276)(200, 274)(201, 254)(202, 272)(203, 285)(204, 271)(205, 261)(206, 270)(207, 268)(208, 266)(209, 267)(210, 287)(211, 286)(212, 288)(213, 275)(214, 283)(215, 282)(216, 284)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1515
Transitivity :: VT+
Graph:: bipartite
	v = 4 e = 144 f = 108
	degree seq :: [ 72^4 ]

E17.1519 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1, Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 15, 87)(7, 79, 18, 90)(8, 80, 20, 92)(10, 82, 21, 93)(11, 83, 22, 94)(13, 85, 19, 91)(16, 88, 25, 97)(17, 89, 26, 98)(23, 95, 31, 103)(24, 96, 32, 104)(27, 99, 35, 107)(28, 100, 36, 108)(29, 101, 37, 109)(30, 102, 38, 110)(33, 105, 41, 113)(34, 106, 42, 114)(39, 111, 47, 119)(40, 112, 48, 120)(43, 115, 51, 123)(44, 116, 52, 124)(45, 117, 53, 125)(46, 118, 54, 126)(49, 121, 57, 129)(50, 122, 58, 130)(55, 127, 63, 135)(56, 128, 64, 136)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(65, 137, 72, 144)(66, 138, 71, 143)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 161, 233)(152, 224, 160, 232)(153, 225, 163, 235)(156, 228, 165, 237)(157, 229, 159, 231)(158, 230, 166, 238)(162, 234, 169, 241)(164, 236, 170, 242)(167, 239, 174, 246)(168, 240, 173, 245)(171, 243, 178, 250)(172, 244, 177, 249)(175, 247, 181, 253)(176, 248, 182, 254)(179, 251, 185, 257)(180, 252, 186, 258)(183, 255, 190, 262)(184, 256, 189, 261)(187, 259, 194, 266)(188, 260, 193, 265)(191, 263, 197, 269)(192, 264, 198, 270)(195, 267, 201, 273)(196, 268, 202, 274)(199, 271, 206, 278)(200, 272, 205, 277)(203, 275, 210, 282)(204, 276, 209, 281)(207, 279, 213, 285)(208, 280, 214, 286)(211, 283, 216, 288)(212, 284, 215, 287)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 160)(7, 163)(8, 146)(9, 161)(10, 159)(11, 147)(12, 167)(13, 149)(14, 168)(15, 155)(16, 153)(17, 150)(18, 171)(19, 152)(20, 172)(21, 173)(22, 174)(23, 158)(24, 156)(25, 177)(26, 178)(27, 164)(28, 162)(29, 166)(30, 165)(31, 183)(32, 184)(33, 170)(34, 169)(35, 187)(36, 188)(37, 189)(38, 190)(39, 176)(40, 175)(41, 193)(42, 194)(43, 180)(44, 179)(45, 182)(46, 181)(47, 199)(48, 200)(49, 186)(50, 185)(51, 203)(52, 204)(53, 205)(54, 206)(55, 192)(56, 191)(57, 209)(58, 210)(59, 196)(60, 195)(61, 198)(62, 197)(63, 215)(64, 216)(65, 202)(66, 201)(67, 214)(68, 213)(69, 211)(70, 212)(71, 208)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.1521
Graph:: simple bipartite
	v = 72 e = 144 f = 40
	degree seq :: [ 4^72 ]

E17.1520 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y2 * Y1 * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 ]
Map:: non-degenerate
	R = (1, 73, 2, 74)(3, 75, 9, 81)(4, 76, 12, 84)(5, 77, 14, 86)(6, 78, 15, 87)(7, 79, 18, 90)(8, 80, 20, 92)(10, 82, 21, 93)(11, 83, 22, 94)(13, 85, 19, 91)(16, 88, 25, 97)(17, 89, 26, 98)(23, 95, 31, 103)(24, 96, 32, 104)(27, 99, 35, 107)(28, 100, 36, 108)(29, 101, 37, 109)(30, 102, 38, 110)(33, 105, 41, 113)(34, 106, 42, 114)(39, 111, 47, 119)(40, 112, 48, 120)(43, 115, 51, 123)(44, 116, 52, 124)(45, 117, 53, 125)(46, 118, 54, 126)(49, 121, 57, 129)(50, 122, 58, 130)(55, 127, 63, 135)(56, 128, 64, 136)(59, 131, 67, 139)(60, 132, 68, 140)(61, 133, 69, 141)(62, 134, 70, 142)(65, 137, 71, 143)(66, 138, 72, 144)(145, 217, 147, 219)(146, 218, 150, 222)(148, 220, 155, 227)(149, 221, 154, 226)(151, 223, 161, 233)(152, 224, 160, 232)(153, 225, 163, 235)(156, 228, 165, 237)(157, 229, 159, 231)(158, 230, 166, 238)(162, 234, 169, 241)(164, 236, 170, 242)(167, 239, 174, 246)(168, 240, 173, 245)(171, 243, 178, 250)(172, 244, 177, 249)(175, 247, 181, 253)(176, 248, 182, 254)(179, 251, 185, 257)(180, 252, 186, 258)(183, 255, 190, 262)(184, 256, 189, 261)(187, 259, 194, 266)(188, 260, 193, 265)(191, 263, 197, 269)(192, 264, 198, 270)(195, 267, 201, 273)(196, 268, 202, 274)(199, 271, 206, 278)(200, 272, 205, 277)(203, 275, 210, 282)(204, 276, 209, 281)(207, 279, 213, 285)(208, 280, 214, 286)(211, 283, 215, 287)(212, 284, 216, 288)
	L = (1, 148)(2, 151)(3, 154)(4, 157)(5, 145)(6, 160)(7, 163)(8, 146)(9, 161)(10, 159)(11, 147)(12, 167)(13, 149)(14, 168)(15, 155)(16, 153)(17, 150)(18, 171)(19, 152)(20, 172)(21, 173)(22, 174)(23, 158)(24, 156)(25, 177)(26, 178)(27, 164)(28, 162)(29, 166)(30, 165)(31, 183)(32, 184)(33, 170)(34, 169)(35, 187)(36, 188)(37, 189)(38, 190)(39, 176)(40, 175)(41, 193)(42, 194)(43, 180)(44, 179)(45, 182)(46, 181)(47, 199)(48, 200)(49, 186)(50, 185)(51, 203)(52, 204)(53, 205)(54, 206)(55, 192)(56, 191)(57, 209)(58, 210)(59, 196)(60, 195)(61, 198)(62, 197)(63, 215)(64, 216)(65, 202)(66, 201)(67, 213)(68, 214)(69, 212)(70, 211)(71, 208)(72, 207)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.1522
Graph:: simple bipartite
	v = 72 e = 144 f = 40
	degree seq :: [ 4^72 ]

E17.1521 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1 * Y3^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1, (Y2 * Y1^-2)^2, Y1^3 * Y3^-1 * Y2 * Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 7, 79, 20, 92, 37, 109, 53, 125, 64, 136, 46, 118, 32, 104, 12, 84, 25, 97, 41, 113, 57, 129, 68, 140, 52, 124, 36, 108, 19, 91, 5, 77)(3, 75, 11, 83, 29, 101, 45, 117, 61, 133, 55, 127, 40, 112, 22, 94, 10, 82, 4, 76, 15, 87, 33, 105, 49, 121, 65, 137, 54, 126, 42, 114, 21, 93, 13, 85)(6, 78, 18, 90, 35, 107, 51, 123, 67, 139, 58, 130, 38, 110, 26, 98, 8, 80, 24, 96, 17, 89, 34, 106, 50, 122, 66, 138, 56, 128, 39, 111, 23, 95, 9, 81)(14, 86, 27, 99, 43, 115, 59, 131, 69, 141, 72, 144, 62, 134, 48, 120, 30, 102, 16, 88, 28, 100, 44, 116, 60, 132, 70, 142, 71, 143, 63, 135, 47, 119, 31, 103)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 165, 237)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 174, 246)(157, 229, 172, 244)(159, 231, 176, 248)(160, 232, 168, 240)(162, 234, 175, 247)(163, 235, 173, 245)(164, 236, 182, 254)(166, 238, 187, 259)(167, 239, 185, 257)(170, 242, 188, 260)(177, 249, 191, 263)(178, 250, 192, 264)(179, 251, 190, 262)(180, 252, 194, 266)(181, 253, 198, 270)(183, 255, 203, 275)(184, 256, 201, 273)(186, 258, 204, 276)(189, 261, 206, 278)(193, 265, 208, 280)(195, 267, 207, 279)(196, 268, 205, 277)(197, 269, 211, 283)(199, 271, 213, 285)(200, 272, 212, 284)(202, 274, 214, 286)(209, 281, 215, 287)(210, 282, 216, 288)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 162)(6, 145)(7, 166)(8, 169)(9, 172)(10, 146)(11, 175)(12, 168)(13, 171)(14, 147)(15, 149)(16, 150)(17, 176)(18, 174)(19, 177)(20, 183)(21, 185)(22, 188)(23, 151)(24, 158)(25, 157)(26, 187)(27, 152)(28, 154)(29, 190)(30, 159)(31, 161)(32, 155)(33, 192)(34, 191)(35, 163)(36, 195)(37, 199)(38, 201)(39, 204)(40, 164)(41, 170)(42, 203)(43, 165)(44, 167)(45, 207)(46, 178)(47, 173)(48, 179)(49, 180)(50, 208)(51, 206)(52, 209)(53, 210)(54, 212)(55, 214)(56, 181)(57, 186)(58, 213)(59, 182)(60, 184)(61, 197)(62, 193)(63, 194)(64, 189)(65, 216)(66, 215)(67, 196)(68, 202)(69, 198)(70, 200)(71, 205)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E17.1519
Graph:: simple bipartite
	v = 40 e = 144 f = 72
	degree seq :: [ 4^36, 36^4 ]

E17.1522 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = (C18 x C2) : C2 (small group id <72, 8>)
Aut   = D8 x D18 (small group id <144, 41>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1 * Y3)^2, (Y1 * Y3^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y2 * Y3 * Y1^-1 * Y3^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y1^2 * Y2)^2, Y3^-1 * Y1^-3 * Y2 * Y3 * Y1^2 * Y2 * Y1^-1, Y1 * Y2 * Y1^-7 * Y3 * Y1, Y1^4 * Y3 * Y1^2 * Y2 * Y3 * Y1^2 * Y2 ]
Map:: non-degenerate
	R = (1, 73, 2, 74, 7, 79, 20, 92, 37, 109, 53, 125, 63, 135, 47, 119, 31, 103, 14, 86, 27, 99, 43, 115, 59, 131, 68, 140, 52, 124, 36, 108, 19, 91, 5, 77)(3, 75, 11, 83, 29, 101, 45, 117, 61, 133, 56, 128, 39, 111, 23, 95, 9, 81, 6, 78, 18, 90, 35, 107, 51, 123, 67, 139, 54, 126, 42, 114, 21, 93, 13, 85)(4, 76, 15, 87, 33, 105, 49, 121, 65, 137, 58, 130, 38, 110, 26, 98, 8, 80, 24, 96, 17, 89, 34, 106, 50, 122, 66, 138, 55, 127, 40, 112, 22, 94, 10, 82)(12, 84, 25, 97, 41, 113, 57, 129, 69, 141, 72, 144, 62, 134, 48, 120, 30, 102, 16, 88, 28, 100, 44, 116, 60, 132, 70, 142, 71, 143, 64, 136, 46, 118, 32, 104)(145, 217, 147, 219)(146, 218, 152, 224)(148, 220, 158, 230)(149, 221, 161, 233)(150, 222, 156, 228)(151, 223, 165, 237)(153, 225, 171, 243)(154, 226, 169, 241)(155, 227, 174, 246)(157, 229, 172, 244)(159, 231, 176, 248)(160, 232, 168, 240)(162, 234, 175, 247)(163, 235, 173, 245)(164, 236, 182, 254)(166, 238, 187, 259)(167, 239, 185, 257)(170, 242, 188, 260)(177, 249, 191, 263)(178, 250, 192, 264)(179, 251, 190, 262)(180, 252, 194, 266)(181, 253, 198, 270)(183, 255, 203, 275)(184, 256, 201, 273)(186, 258, 204, 276)(189, 261, 206, 278)(193, 265, 208, 280)(195, 267, 207, 279)(196, 268, 205, 277)(197, 269, 209, 281)(199, 271, 212, 284)(200, 272, 213, 285)(202, 274, 214, 286)(210, 282, 216, 288)(211, 283, 215, 287)
	L = (1, 148)(2, 153)(3, 156)(4, 160)(5, 162)(6, 145)(7, 166)(8, 169)(9, 172)(10, 146)(11, 175)(12, 168)(13, 171)(14, 147)(15, 149)(16, 150)(17, 176)(18, 174)(19, 177)(20, 183)(21, 185)(22, 188)(23, 151)(24, 158)(25, 157)(26, 187)(27, 152)(28, 154)(29, 190)(30, 159)(31, 161)(32, 155)(33, 192)(34, 191)(35, 163)(36, 195)(37, 199)(38, 201)(39, 204)(40, 164)(41, 170)(42, 203)(43, 165)(44, 167)(45, 207)(46, 178)(47, 173)(48, 179)(49, 180)(50, 208)(51, 206)(52, 209)(53, 205)(54, 213)(55, 214)(56, 181)(57, 186)(58, 212)(59, 182)(60, 184)(61, 215)(62, 193)(63, 194)(64, 189)(65, 216)(66, 197)(67, 196)(68, 198)(69, 202)(70, 200)(71, 210)(72, 211)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E17.1520
Graph:: bipartite
	v = 40 e = 144 f = 72
	degree seq :: [ 4^36, 36^4 ]

E17.1523 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = C2 x C2 x D18 (small group id <72, 17>)
Aut   = C2 x C2 x C2 x D18 (small group id <144, 112>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1)^2, (R * Y1)^2, (Y3 * Y1)^18 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74)(3, 75, 5, 77)(4, 76, 8, 80)(6, 78, 10, 82)(7, 79, 11, 83)(9, 81, 13, 85)(12, 84, 16, 88)(14, 86, 18, 90)(15, 87, 19, 91)(17, 89, 21, 93)(20, 92, 24, 96)(22, 94, 26, 98)(23, 95, 27, 99)(25, 97, 29, 101)(28, 100, 32, 104)(30, 102, 39, 111)(31, 103, 38, 110)(33, 105, 55, 127)(34, 106, 58, 130)(35, 107, 53, 125)(36, 108, 51, 123)(37, 109, 64, 136)(40, 112, 56, 128)(41, 113, 59, 131)(42, 114, 61, 133)(43, 115, 65, 137)(44, 116, 69, 141)(45, 117, 71, 143)(46, 118, 72, 144)(47, 119, 70, 142)(48, 120, 66, 138)(49, 121, 62, 134)(50, 122, 60, 132)(52, 124, 57, 129)(54, 126, 68, 140)(63, 135, 67, 139)(145, 217, 147, 219)(146, 218, 149, 221)(148, 220, 151, 223)(150, 222, 153, 225)(152, 224, 155, 227)(154, 226, 157, 229)(156, 228, 159, 231)(158, 230, 161, 233)(160, 232, 163, 235)(162, 234, 165, 237)(164, 236, 167, 239)(166, 238, 169, 241)(168, 240, 171, 243)(170, 242, 173, 245)(172, 244, 175, 247)(174, 246, 195, 267)(176, 248, 182, 254)(177, 249, 179, 251)(178, 250, 181, 253)(180, 252, 183, 255)(184, 256, 186, 258)(185, 257, 187, 259)(188, 260, 190, 262)(189, 261, 191, 263)(192, 264, 194, 266)(193, 265, 196, 268)(197, 269, 199, 271)(198, 270, 211, 283)(200, 272, 205, 277)(201, 273, 206, 278)(202, 274, 208, 280)(203, 275, 209, 281)(204, 276, 210, 282)(207, 279, 212, 284)(213, 285, 216, 288)(214, 286, 215, 287)
	L = (1, 148)(2, 150)(3, 151)(4, 145)(5, 153)(6, 146)(7, 147)(8, 156)(9, 149)(10, 158)(11, 159)(12, 152)(13, 161)(14, 154)(15, 155)(16, 164)(17, 157)(18, 166)(19, 167)(20, 160)(21, 169)(22, 162)(23, 163)(24, 172)(25, 165)(26, 174)(27, 175)(28, 168)(29, 195)(30, 170)(31, 171)(32, 197)(33, 200)(34, 203)(35, 205)(36, 202)(37, 209)(38, 199)(39, 208)(40, 213)(41, 215)(42, 216)(43, 214)(44, 210)(45, 206)(46, 204)(47, 201)(48, 212)(49, 198)(50, 207)(51, 173)(52, 211)(53, 176)(54, 193)(55, 182)(56, 177)(57, 191)(58, 180)(59, 178)(60, 190)(61, 179)(62, 189)(63, 194)(64, 183)(65, 181)(66, 188)(67, 196)(68, 192)(69, 184)(70, 187)(71, 185)(72, 186)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.1524
Graph:: simple bipartite
	v = 72 e = 144 f = 40
	degree seq :: [ 4^72 ]

E17.1524 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 18})
Quotient :: dipole
Aut^+ = C2 x C2 x D18 (small group id <72, 17>)
Aut   = C2 x C2 x C2 x D18 (small group id <144, 112>)
|r| :: 2
Presentation :: [ Y3^2, Y2^2, R^2, (R * Y2)^2, (R * Y1)^2, (Y1^-1 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^18 ]
Map:: polytopal non-degenerate
	R = (1, 73, 2, 74, 6, 78, 13, 85, 21, 93, 29, 101, 37, 109, 45, 117, 53, 125, 61, 133, 60, 132, 52, 124, 44, 116, 36, 108, 28, 100, 20, 92, 12, 84, 5, 77)(3, 75, 9, 81, 17, 89, 25, 97, 33, 105, 41, 113, 49, 121, 57, 129, 65, 137, 68, 140, 62, 134, 54, 126, 46, 118, 38, 110, 30, 102, 22, 94, 14, 86, 7, 79)(4, 76, 11, 83, 19, 91, 27, 99, 35, 107, 43, 115, 51, 123, 59, 131, 67, 139, 69, 141, 63, 135, 55, 127, 47, 119, 39, 111, 31, 103, 23, 95, 15, 87, 8, 80)(10, 82, 16, 88, 24, 96, 32, 104, 40, 112, 48, 120, 56, 128, 64, 136, 70, 142, 72, 144, 71, 143, 66, 138, 58, 130, 50, 122, 42, 114, 34, 106, 26, 98, 18, 90)(145, 217, 147, 219)(146, 218, 151, 223)(148, 220, 154, 226)(149, 221, 153, 225)(150, 222, 158, 230)(152, 224, 160, 232)(155, 227, 162, 234)(156, 228, 161, 233)(157, 229, 166, 238)(159, 231, 168, 240)(163, 235, 170, 242)(164, 236, 169, 241)(165, 237, 174, 246)(167, 239, 176, 248)(171, 243, 178, 250)(172, 244, 177, 249)(173, 245, 182, 254)(175, 247, 184, 256)(179, 251, 186, 258)(180, 252, 185, 257)(181, 253, 190, 262)(183, 255, 192, 264)(187, 259, 194, 266)(188, 260, 193, 265)(189, 261, 198, 270)(191, 263, 200, 272)(195, 267, 202, 274)(196, 268, 201, 273)(197, 269, 206, 278)(199, 271, 208, 280)(203, 275, 210, 282)(204, 276, 209, 281)(205, 277, 212, 284)(207, 279, 214, 286)(211, 283, 215, 287)(213, 285, 216, 288)
	L = (1, 148)(2, 152)(3, 154)(4, 145)(5, 155)(6, 159)(7, 160)(8, 146)(9, 162)(10, 147)(11, 149)(12, 163)(13, 167)(14, 168)(15, 150)(16, 151)(17, 170)(18, 153)(19, 156)(20, 171)(21, 175)(22, 176)(23, 157)(24, 158)(25, 178)(26, 161)(27, 164)(28, 179)(29, 183)(30, 184)(31, 165)(32, 166)(33, 186)(34, 169)(35, 172)(36, 187)(37, 191)(38, 192)(39, 173)(40, 174)(41, 194)(42, 177)(43, 180)(44, 195)(45, 199)(46, 200)(47, 181)(48, 182)(49, 202)(50, 185)(51, 188)(52, 203)(53, 207)(54, 208)(55, 189)(56, 190)(57, 210)(58, 193)(59, 196)(60, 211)(61, 213)(62, 214)(63, 197)(64, 198)(65, 215)(66, 201)(67, 204)(68, 216)(69, 205)(70, 206)(71, 209)(72, 212)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E17.1523
Graph:: simple bipartite
	v = 40 e = 144 f = 72
	degree seq :: [ 4^36, 36^4 ]

E17.1525 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 18})
Quotient :: edge
Aut^+ = C2 x (C9 : C4) (small group id <72, 7>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2 * T1^-1, T2^18 ]
Map:: non-degenerate
	R = (1, 3, 9, 17, 25, 33, 41, 49, 57, 65, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 70, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 71, 66, 58, 50, 42, 34, 26, 18, 10)(6, 13, 21, 29, 37, 45, 53, 61, 68, 72, 69, 62, 54, 46, 38, 30, 22, 14)(73, 74, 78, 76)(75, 80, 85, 82)(77, 79, 86, 83)(81, 88, 93, 90)(84, 87, 94, 91)(89, 96, 101, 98)(92, 95, 102, 99)(97, 104, 109, 106)(100, 103, 110, 107)(105, 112, 117, 114)(108, 111, 118, 115)(113, 120, 125, 122)(116, 119, 126, 123)(121, 128, 133, 130)(124, 127, 134, 131)(129, 136, 140, 138)(132, 135, 141, 139)(137, 142, 144, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 8^4 ), ( 8^18 ) }
Outer automorphisms :: reflexible
Dual of E17.1526
Transitivity :: ET+
Graph:: simple bipartite
	v = 22 e = 72 f = 18
	degree seq :: [ 4^18, 18^4 ]

E17.1526 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 18})
Quotient :: loop
Aut^+ = C2 x (C9 : C4) (small group id <72, 7>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ F^2, T2^-2 * T1^-2, T2^-2 * T1^2, (F * T2)^2, (F * T1)^2, T2^4, (T2 * T1)^18 ]
Map:: non-degenerate
	R = (1, 73, 3, 75, 6, 78, 5, 77)(2, 74, 7, 79, 4, 76, 8, 80)(9, 81, 13, 85, 10, 82, 14, 86)(11, 83, 15, 87, 12, 84, 16, 88)(17, 89, 21, 93, 18, 90, 22, 94)(19, 91, 23, 95, 20, 92, 24, 96)(25, 97, 29, 101, 26, 98, 30, 102)(27, 99, 31, 103, 28, 100, 32, 104)(33, 105, 57, 129, 34, 106, 58, 130)(35, 107, 60, 132, 40, 112, 62, 134)(36, 108, 63, 135, 38, 110, 64, 136)(37, 109, 65, 137, 39, 111, 66, 138)(41, 113, 67, 139, 42, 114, 68, 140)(43, 115, 61, 133, 44, 116, 59, 131)(45, 117, 69, 141, 46, 118, 70, 142)(47, 119, 71, 143, 48, 120, 72, 144)(49, 121, 56, 128, 50, 122, 55, 127)(51, 123, 53, 125, 52, 124, 54, 126)
	L = (1, 74)(2, 78)(3, 81)(4, 73)(5, 82)(6, 76)(7, 83)(8, 84)(9, 77)(10, 75)(11, 80)(12, 79)(13, 89)(14, 90)(15, 91)(16, 92)(17, 86)(18, 85)(19, 88)(20, 87)(21, 97)(22, 98)(23, 99)(24, 100)(25, 94)(26, 93)(27, 96)(28, 95)(29, 105)(30, 106)(31, 115)(32, 116)(33, 102)(34, 101)(35, 131)(36, 129)(37, 135)(38, 130)(39, 136)(40, 133)(41, 134)(42, 132)(43, 104)(44, 103)(45, 138)(46, 137)(47, 140)(48, 139)(49, 142)(50, 141)(51, 144)(52, 143)(53, 127)(54, 128)(55, 126)(56, 125)(57, 110)(58, 108)(59, 112)(60, 113)(61, 107)(62, 114)(63, 111)(64, 109)(65, 117)(66, 118)(67, 119)(68, 120)(69, 121)(70, 122)(71, 123)(72, 124)
	local type(s) :: { ( 4, 18, 4, 18, 4, 18, 4, 18 ) }
Outer automorphisms :: reflexible
Dual of E17.1525
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 18 e = 72 f = 22
	degree seq :: [ 8^18 ]

E17.1527 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18})
Quotient :: dipole
Aut^+ = C2 x (C9 : C4) (small group id <72, 7>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1 * Y2^-1, (Y3^-1 * Y1^-1)^4, Y2^18 ]
Map::
	R = (1, 73, 2, 74, 6, 78, 4, 76)(3, 75, 8, 80, 13, 85, 10, 82)(5, 77, 7, 79, 14, 86, 11, 83)(9, 81, 16, 88, 21, 93, 18, 90)(12, 84, 15, 87, 22, 94, 19, 91)(17, 89, 24, 96, 29, 101, 26, 98)(20, 92, 23, 95, 30, 102, 27, 99)(25, 97, 32, 104, 37, 109, 34, 106)(28, 100, 31, 103, 38, 110, 35, 107)(33, 105, 40, 112, 45, 117, 42, 114)(36, 108, 39, 111, 46, 118, 43, 115)(41, 113, 48, 120, 53, 125, 50, 122)(44, 116, 47, 119, 54, 126, 51, 123)(49, 121, 56, 128, 61, 133, 58, 130)(52, 124, 55, 127, 62, 134, 59, 131)(57, 129, 64, 136, 68, 140, 66, 138)(60, 132, 63, 135, 69, 141, 67, 139)(65, 137, 70, 142, 72, 144, 71, 143)(145, 217, 147, 219, 153, 225, 161, 233, 169, 241, 177, 249, 185, 257, 193, 265, 201, 273, 209, 281, 204, 276, 196, 268, 188, 260, 180, 252, 172, 244, 164, 236, 156, 228, 149, 221)(146, 218, 151, 223, 159, 231, 167, 239, 175, 247, 183, 255, 191, 263, 199, 271, 207, 279, 214, 286, 208, 280, 200, 272, 192, 264, 184, 256, 176, 248, 168, 240, 160, 232, 152, 224)(148, 220, 155, 227, 163, 235, 171, 243, 179, 251, 187, 259, 195, 267, 203, 275, 211, 283, 215, 287, 210, 282, 202, 274, 194, 266, 186, 258, 178, 250, 170, 242, 162, 234, 154, 226)(150, 222, 157, 229, 165, 237, 173, 245, 181, 253, 189, 261, 197, 269, 205, 277, 212, 284, 216, 288, 213, 285, 206, 278, 198, 270, 190, 262, 182, 254, 174, 246, 166, 238, 158, 230)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 161)(10, 148)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 169)(18, 154)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 177)(26, 162)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 185)(34, 170)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 193)(42, 178)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 201)(50, 186)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 209)(58, 194)(59, 211)(60, 196)(61, 212)(62, 198)(63, 214)(64, 200)(65, 204)(66, 202)(67, 215)(68, 216)(69, 206)(70, 208)(71, 210)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1528
Graph:: bipartite
	v = 22 e = 144 f = 90
	degree seq :: [ 8^18, 36^4 ]

E17.1528 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 18})
Quotient :: dipole
Aut^+ = C2 x (C9 : C4) (small group id <72, 7>)
Aut   = C2 x ((C18 x C2) : C2) (small group id <144, 46>)
|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, Y3^8 * Y2 * Y3^-10 * Y2^-1, (Y3^-1 * Y1^-1)^18 ]
Map::
	R = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)(145, 217, 146, 218, 150, 222, 148, 220)(147, 219, 152, 224, 157, 229, 154, 226)(149, 221, 151, 223, 158, 230, 155, 227)(153, 225, 160, 232, 165, 237, 162, 234)(156, 228, 159, 231, 166, 238, 163, 235)(161, 233, 168, 240, 173, 245, 170, 242)(164, 236, 167, 239, 174, 246, 171, 243)(169, 241, 176, 248, 181, 253, 178, 250)(172, 244, 175, 247, 182, 254, 179, 251)(177, 249, 184, 256, 189, 261, 186, 258)(180, 252, 183, 255, 190, 262, 187, 259)(185, 257, 192, 264, 197, 269, 194, 266)(188, 260, 191, 263, 198, 270, 195, 267)(193, 265, 200, 272, 205, 277, 202, 274)(196, 268, 199, 271, 206, 278, 203, 275)(201, 273, 208, 280, 212, 284, 210, 282)(204, 276, 207, 279, 213, 285, 211, 283)(209, 281, 214, 286, 216, 288, 215, 287)
	L = (1, 147)(2, 151)(3, 153)(4, 155)(5, 145)(6, 157)(7, 159)(8, 146)(9, 161)(10, 148)(11, 163)(12, 149)(13, 165)(14, 150)(15, 167)(16, 152)(17, 169)(18, 154)(19, 171)(20, 156)(21, 173)(22, 158)(23, 175)(24, 160)(25, 177)(26, 162)(27, 179)(28, 164)(29, 181)(30, 166)(31, 183)(32, 168)(33, 185)(34, 170)(35, 187)(36, 172)(37, 189)(38, 174)(39, 191)(40, 176)(41, 193)(42, 178)(43, 195)(44, 180)(45, 197)(46, 182)(47, 199)(48, 184)(49, 201)(50, 186)(51, 203)(52, 188)(53, 205)(54, 190)(55, 207)(56, 192)(57, 209)(58, 194)(59, 211)(60, 196)(61, 212)(62, 198)(63, 214)(64, 200)(65, 204)(66, 202)(67, 215)(68, 216)(69, 206)(70, 208)(71, 210)(72, 213)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 36 ), ( 8, 36, 8, 36, 8, 36, 8, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.1527
Graph:: simple bipartite
	v = 90 e = 144 f = 22
	degree seq :: [ 2^72, 8^18 ]

E17.1529 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 36, 36})
Quotient :: regular
Aut^+ = C36 x C2 (small group id <72, 9>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1^-1, T1^36 ]
Map::
	R = (1, 2, 5, 9, 13, 17, 21, 25, 29, 36, 38, 40, 42, 44, 46, 48, 50, 51, 52, 54, 56, 58, 60, 62, 64, 70, 71, 72, 32, 28, 24, 20, 16, 12, 8, 4)(3, 6, 10, 14, 18, 22, 26, 30, 33, 34, 35, 37, 39, 41, 43, 45, 47, 53, 55, 57, 59, 61, 63, 65, 67, 68, 69, 66, 49, 31, 27, 23, 19, 15, 11, 7)
	L = (1, 3)(2, 6)(4, 7)(5, 10)(8, 11)(9, 14)(12, 15)(13, 18)(16, 19)(17, 22)(20, 23)(21, 26)(24, 27)(25, 30)(28, 31)(29, 33)(32, 49)(34, 36)(35, 38)(37, 40)(39, 42)(41, 44)(43, 46)(45, 48)(47, 50)(51, 53)(52, 55)(54, 57)(56, 59)(58, 61)(60, 63)(62, 65)(64, 67)(66, 72)(68, 70)(69, 71)
	local type(s) :: { ( 36^36 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 36 f = 2
	degree seq :: [ 36^2 ]

E17.1530 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 36, 36})
Quotient :: edge
Aut^+ = C36 x C2 (small group id <72, 9>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^36 ]
Map::
	R = (1, 3, 7, 11, 15, 19, 23, 27, 31, 33, 35, 38, 40, 42, 44, 46, 48, 50, 52, 54, 57, 59, 61, 63, 65, 67, 69, 71, 32, 28, 24, 20, 16, 12, 8, 4)(2, 5, 9, 13, 17, 21, 25, 29, 37, 34, 36, 39, 41, 43, 45, 47, 49, 56, 53, 55, 58, 60, 62, 64, 66, 68, 72, 70, 51, 30, 26, 22, 18, 14, 10, 6)(73, 74)(75, 77)(76, 78)(79, 81)(80, 82)(83, 85)(84, 86)(87, 89)(88, 90)(91, 93)(92, 94)(95, 97)(96, 98)(99, 101)(100, 102)(103, 109)(104, 123)(105, 106)(107, 108)(110, 111)(112, 113)(114, 115)(116, 117)(118, 119)(120, 121)(122, 128)(124, 125)(126, 127)(129, 130)(131, 132)(133, 134)(135, 136)(137, 138)(139, 140)(141, 144)(142, 143)
	L = (1, 73)(2, 74)(3, 75)(4, 76)(5, 77)(6, 78)(7, 79)(8, 80)(9, 81)(10, 82)(11, 83)(12, 84)(13, 85)(14, 86)(15, 87)(16, 88)(17, 89)(18, 90)(19, 91)(20, 92)(21, 93)(22, 94)(23, 95)(24, 96)(25, 97)(26, 98)(27, 99)(28, 100)(29, 101)(30, 102)(31, 103)(32, 104)(33, 105)(34, 106)(35, 107)(36, 108)(37, 109)(38, 110)(39, 111)(40, 112)(41, 113)(42, 114)(43, 115)(44, 116)(45, 117)(46, 118)(47, 119)(48, 120)(49, 121)(50, 122)(51, 123)(52, 124)(53, 125)(54, 126)(55, 127)(56, 128)(57, 129)(58, 130)(59, 131)(60, 132)(61, 133)(62, 134)(63, 135)(64, 136)(65, 137)(66, 138)(67, 139)(68, 140)(69, 141)(70, 142)(71, 143)(72, 144)
	local type(s) :: { ( 72, 72 ), ( 72^36 ) }
Outer automorphisms :: reflexible
Dual of E17.1531
Transitivity :: ET+
Graph:: simple bipartite
	v = 38 e = 72 f = 2
	degree seq :: [ 2^36, 36^2 ]

E17.1531 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 36, 36})
Quotient :: loop
Aut^+ = C36 x C2 (small group id <72, 9>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2 * T1 * T2^-1 * T1, T2^36 ]
Map::
	R = (1, 73, 3, 75, 7, 79, 11, 83, 15, 87, 19, 91, 23, 95, 27, 99, 31, 103, 35, 107, 37, 109, 39, 111, 41, 113, 43, 115, 45, 117, 47, 119, 50, 122, 51, 123, 53, 125, 55, 127, 57, 129, 59, 131, 61, 133, 63, 135, 65, 137, 69, 141, 71, 143, 72, 144, 32, 104, 28, 100, 24, 96, 20, 92, 16, 88, 12, 84, 8, 80, 4, 76)(2, 74, 5, 77, 9, 81, 13, 85, 17, 89, 21, 93, 25, 97, 29, 101, 33, 105, 34, 106, 36, 108, 38, 110, 40, 112, 42, 114, 44, 116, 46, 118, 48, 120, 52, 124, 54, 126, 56, 128, 58, 130, 60, 132, 62, 134, 64, 136, 67, 139, 68, 140, 70, 142, 66, 138, 49, 121, 30, 102, 26, 98, 22, 94, 18, 90, 14, 86, 10, 82, 6, 78)
	L = (1, 74)(2, 73)(3, 77)(4, 78)(5, 75)(6, 76)(7, 81)(8, 82)(9, 79)(10, 80)(11, 85)(12, 86)(13, 83)(14, 84)(15, 89)(16, 90)(17, 87)(18, 88)(19, 93)(20, 94)(21, 91)(22, 92)(23, 97)(24, 98)(25, 95)(26, 96)(27, 101)(28, 102)(29, 99)(30, 100)(31, 105)(32, 121)(33, 103)(34, 107)(35, 106)(36, 109)(37, 108)(38, 111)(39, 110)(40, 113)(41, 112)(42, 115)(43, 114)(44, 117)(45, 116)(46, 119)(47, 118)(48, 122)(49, 104)(50, 120)(51, 124)(52, 123)(53, 126)(54, 125)(55, 128)(56, 127)(57, 130)(58, 129)(59, 132)(60, 131)(61, 134)(62, 133)(63, 136)(64, 135)(65, 139)(66, 144)(67, 137)(68, 141)(69, 140)(70, 143)(71, 142)(72, 138)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.1530
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 72 f = 38
	degree seq :: [ 72^2 ]

E17.1532 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 36, 36})
Quotient :: dipole
Aut^+ = C36 x C2 (small group id <72, 9>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y2^36, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 73, 2, 74)(3, 75, 5, 77)(4, 76, 6, 78)(7, 79, 9, 81)(8, 80, 10, 82)(11, 83, 13, 85)(12, 84, 14, 86)(15, 87, 17, 89)(16, 88, 18, 90)(19, 91, 21, 93)(20, 92, 22, 94)(23, 95, 25, 97)(24, 96, 26, 98)(27, 99, 29, 101)(28, 100, 30, 102)(31, 103, 33, 105)(32, 104, 49, 121)(34, 106, 35, 107)(36, 108, 37, 109)(38, 110, 39, 111)(40, 112, 41, 113)(42, 114, 43, 115)(44, 116, 45, 117)(46, 118, 47, 119)(48, 120, 50, 122)(51, 123, 52, 124)(53, 125, 54, 126)(55, 127, 56, 128)(57, 129, 58, 130)(59, 131, 60, 132)(61, 133, 62, 134)(63, 135, 64, 136)(65, 137, 67, 139)(66, 138, 72, 144)(68, 140, 69, 141)(70, 142, 71, 143)(145, 217, 147, 219, 151, 223, 155, 227, 159, 231, 163, 235, 167, 239, 171, 243, 175, 247, 179, 251, 181, 253, 183, 255, 185, 257, 187, 259, 189, 261, 191, 263, 194, 266, 195, 267, 197, 269, 199, 271, 201, 273, 203, 275, 205, 277, 207, 279, 209, 281, 213, 285, 215, 287, 216, 288, 176, 248, 172, 244, 168, 240, 164, 236, 160, 232, 156, 228, 152, 224, 148, 220)(146, 218, 149, 221, 153, 225, 157, 229, 161, 233, 165, 237, 169, 241, 173, 245, 177, 249, 178, 250, 180, 252, 182, 254, 184, 256, 186, 258, 188, 260, 190, 262, 192, 264, 196, 268, 198, 270, 200, 272, 202, 274, 204, 276, 206, 278, 208, 280, 211, 283, 212, 284, 214, 286, 210, 282, 193, 265, 174, 246, 170, 242, 166, 238, 162, 234, 158, 230, 154, 226, 150, 222)
	L = (1, 146)(2, 145)(3, 149)(4, 150)(5, 147)(6, 148)(7, 153)(8, 154)(9, 151)(10, 152)(11, 157)(12, 158)(13, 155)(14, 156)(15, 161)(16, 162)(17, 159)(18, 160)(19, 165)(20, 166)(21, 163)(22, 164)(23, 169)(24, 170)(25, 167)(26, 168)(27, 173)(28, 174)(29, 171)(30, 172)(31, 177)(32, 193)(33, 175)(34, 179)(35, 178)(36, 181)(37, 180)(38, 183)(39, 182)(40, 185)(41, 184)(42, 187)(43, 186)(44, 189)(45, 188)(46, 191)(47, 190)(48, 194)(49, 176)(50, 192)(51, 196)(52, 195)(53, 198)(54, 197)(55, 200)(56, 199)(57, 202)(58, 201)(59, 204)(60, 203)(61, 206)(62, 205)(63, 208)(64, 207)(65, 211)(66, 216)(67, 209)(68, 213)(69, 212)(70, 215)(71, 214)(72, 210)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.1533
Graph:: bipartite
	v = 38 e = 144 f = 74
	degree seq :: [ 4^36, 72^2 ]

E17.1533 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 36, 36})
Quotient :: dipole
Aut^+ = C36 x C2 (small group id <72, 9>)
Aut   = C2 x D72 (small group id <144, 39>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y3^-1, Y1^-1), (R * Y2 * Y3^-1)^2, Y3^-36, Y1^36 ]
Map::
	R = (1, 73, 2, 74, 5, 77, 9, 81, 13, 85, 17, 89, 21, 93, 25, 97, 29, 101, 39, 111, 35, 107, 38, 110, 42, 114, 44, 116, 46, 118, 48, 120, 50, 122, 52, 124, 61, 133, 57, 129, 54, 126, 55, 127, 58, 130, 62, 134, 64, 136, 66, 138, 68, 140, 70, 142, 32, 104, 28, 100, 24, 96, 20, 92, 16, 88, 12, 84, 8, 80, 4, 76)(3, 75, 6, 78, 10, 82, 14, 86, 18, 90, 22, 94, 26, 98, 30, 102, 40, 112, 36, 108, 33, 105, 34, 106, 37, 109, 41, 113, 43, 115, 45, 117, 47, 119, 49, 121, 51, 123, 60, 132, 56, 128, 59, 131, 63, 135, 65, 137, 67, 139, 69, 141, 71, 143, 72, 144, 53, 125, 31, 103, 27, 99, 23, 95, 19, 91, 15, 87, 11, 83, 7, 79)(145, 217)(146, 218)(147, 219)(148, 220)(149, 221)(150, 222)(151, 223)(152, 224)(153, 225)(154, 226)(155, 227)(156, 228)(157, 229)(158, 230)(159, 231)(160, 232)(161, 233)(162, 234)(163, 235)(164, 236)(165, 237)(166, 238)(167, 239)(168, 240)(169, 241)(170, 242)(171, 243)(172, 244)(173, 245)(174, 246)(175, 247)(176, 248)(177, 249)(178, 250)(179, 251)(180, 252)(181, 253)(182, 254)(183, 255)(184, 256)(185, 257)(186, 258)(187, 259)(188, 260)(189, 261)(190, 262)(191, 263)(192, 264)(193, 265)(194, 266)(195, 267)(196, 268)(197, 269)(198, 270)(199, 271)(200, 272)(201, 273)(202, 274)(203, 275)(204, 276)(205, 277)(206, 278)(207, 279)(208, 280)(209, 281)(210, 282)(211, 283)(212, 284)(213, 285)(214, 286)(215, 287)(216, 288)
	L = (1, 147)(2, 150)(3, 145)(4, 151)(5, 154)(6, 146)(7, 148)(8, 155)(9, 158)(10, 149)(11, 152)(12, 159)(13, 162)(14, 153)(15, 156)(16, 163)(17, 166)(18, 157)(19, 160)(20, 167)(21, 170)(22, 161)(23, 164)(24, 171)(25, 174)(26, 165)(27, 168)(28, 175)(29, 184)(30, 169)(31, 172)(32, 197)(33, 179)(34, 182)(35, 177)(36, 183)(37, 186)(38, 178)(39, 180)(40, 173)(41, 188)(42, 181)(43, 190)(44, 185)(45, 192)(46, 187)(47, 194)(48, 189)(49, 196)(50, 191)(51, 205)(52, 193)(53, 176)(54, 200)(55, 203)(56, 198)(57, 204)(58, 207)(59, 199)(60, 201)(61, 195)(62, 209)(63, 202)(64, 211)(65, 206)(66, 213)(67, 208)(68, 215)(69, 210)(70, 216)(71, 212)(72, 214)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.1532
Graph:: simple bipartite
	v = 74 e = 144 f = 38
	degree seq :: [ 2^72, 72^2 ]

E17.1534 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {5, 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 :: [ F^2, (F * T1)^2, (F * T2)^2, T1^5, T1^5, T2^5, (T2 * T1^-2)^2, (T1 * T2^2)^2, (T1^-1 * T2^-2)^2, (T2 * T1^-2)^2, (T2^-1, T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 17, 5)(2, 7, 21, 25, 8)(4, 12, 34, 29, 14)(6, 18, 45, 46, 19)(9, 27, 16, 41, 28)(11, 31, 65, 43, 32)(13, 35, 71, 69, 36)(15, 39, 30, 63, 40)(20, 48, 24, 55, 49)(22, 51, 59, 56, 52)(23, 53, 50, 62, 54)(26, 57, 76, 44, 58)(33, 68, 38, 74, 66)(37, 72, 70, 60, 73)(42, 78, 47, 61, 79)(64, 77, 67, 80, 75)(81, 82, 86, 93, 84)(83, 89, 106, 99, 91)(85, 95, 115, 122, 96)(87, 100, 127, 116, 102)(88, 103, 92, 113, 104)(90, 109, 142, 138, 110)(94, 117, 98, 124, 118)(97, 123, 158, 130, 101)(105, 136, 148, 145, 125)(107, 139, 151, 126, 140)(108, 141, 111, 144, 132)(112, 146, 137, 133, 147)(114, 149, 143, 128, 150)(119, 155, 134, 159, 135)(120, 156, 121, 152, 157)(129, 154, 131, 160, 153)
	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) :: { ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E17.1535
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 80 f = 16
	degree seq :: [ 5^32 ]

E17.1535 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {5, 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 :: [ F^2, (T2 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^5, T2^5, (T2^2 * T1^-2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 15, 95, 5, 85)(2, 82, 7, 87, 19, 99, 21, 101, 8, 88)(4, 84, 11, 91, 27, 107, 31, 111, 13, 93)(6, 86, 16, 96, 37, 117, 39, 119, 17, 97)(9, 89, 23, 103, 50, 130, 38, 118, 24, 104)(12, 92, 28, 108, 56, 136, 58, 138, 29, 109)(14, 94, 32, 112, 55, 135, 66, 146, 34, 114)(18, 98, 41, 121, 75, 155, 57, 137, 42, 122)(20, 100, 44, 124, 26, 106, 53, 133, 45, 125)(22, 102, 47, 127, 76, 156, 67, 147, 48, 128)(25, 105, 52, 132, 69, 149, 68, 148, 35, 115)(30, 110, 59, 139, 36, 116, 70, 150, 61, 141)(33, 113, 63, 143, 51, 131, 71, 151, 64, 144)(40, 120, 72, 152, 62, 142, 54, 134, 73, 153)(43, 123, 77, 157, 60, 140, 79, 159, 46, 126)(49, 129, 74, 154, 65, 145, 78, 158, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 92)(7, 98)(8, 83)(9, 102)(10, 105)(11, 106)(12, 84)(13, 108)(14, 85)(15, 112)(16, 116)(17, 87)(18, 120)(19, 123)(20, 88)(21, 124)(22, 100)(23, 129)(24, 90)(25, 131)(26, 113)(27, 134)(28, 135)(29, 96)(30, 93)(31, 139)(32, 136)(33, 94)(34, 143)(35, 95)(36, 149)(37, 151)(38, 97)(39, 104)(40, 118)(41, 154)(42, 99)(43, 156)(44, 107)(45, 127)(46, 101)(47, 157)(48, 103)(49, 155)(50, 152)(51, 119)(52, 150)(53, 160)(54, 126)(55, 140)(56, 147)(57, 109)(58, 122)(59, 117)(60, 110)(61, 159)(62, 111)(63, 132)(64, 133)(65, 114)(66, 158)(67, 115)(68, 128)(69, 137)(70, 145)(71, 142)(72, 144)(73, 121)(74, 141)(75, 148)(76, 138)(77, 146)(78, 125)(79, 153)(80, 130)
	local type(s) :: { ( 5^10 ) }
Outer automorphisms :: reflexible
Dual of E17.1534
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 80 f = 32
	degree seq :: [ 10^16 ]

E17.1536 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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 :: [ R^2, Y3 * Y1, R * Y3 * R * Y1^-1, Y3 * Y1^-2 * Y3^2, Y1^5, Y2^5, (Y2 * Y3^2)^2, R * Y2 * R * Y3 * Y2 * Y3^-1, Y2 * Y3 * Y1^-1 * Y2 * Y3^2, Y1^-1 * Y2^-2 * Y3 * Y2^-2, Y1 * Y2^-1 * Y3^3 * Y2^-1 * Y3^-1, Y1^2 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y2 * Y1 * Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1, Y2^-1 * Y1 * Y2^2 * Y3 * Y2 * Y1 * Y2 * Y3^2 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 13, 93, 4, 84)(3, 83, 9, 89, 26, 106, 19, 99, 11, 91)(5, 85, 15, 95, 35, 115, 42, 122, 16, 96)(7, 87, 20, 100, 47, 127, 36, 116, 22, 102)(8, 88, 23, 103, 12, 92, 33, 113, 24, 104)(10, 90, 29, 109, 62, 142, 58, 138, 30, 110)(14, 94, 37, 117, 18, 98, 44, 124, 38, 118)(17, 97, 43, 123, 78, 158, 50, 130, 21, 101)(25, 105, 56, 136, 68, 148, 65, 145, 45, 125)(27, 107, 59, 139, 71, 151, 46, 126, 60, 140)(28, 108, 61, 141, 31, 111, 64, 144, 52, 132)(32, 112, 66, 146, 57, 137, 53, 133, 67, 147)(34, 114, 69, 149, 63, 143, 48, 128, 70, 150)(39, 119, 75, 155, 54, 134, 79, 159, 55, 135)(40, 120, 76, 156, 41, 121, 72, 152, 77, 157)(49, 129, 74, 154, 51, 131, 80, 160, 73, 153)(161, 241, 163, 243, 170, 250, 177, 257, 165, 245)(162, 242, 167, 247, 181, 261, 185, 265, 168, 248)(164, 244, 172, 252, 194, 274, 189, 269, 174, 254)(166, 246, 178, 258, 205, 285, 206, 286, 179, 259)(169, 249, 187, 267, 176, 256, 201, 281, 188, 268)(171, 251, 191, 271, 225, 305, 203, 283, 192, 272)(173, 253, 195, 275, 231, 311, 229, 309, 196, 276)(175, 255, 199, 279, 190, 270, 223, 303, 200, 280)(180, 260, 208, 288, 184, 264, 215, 295, 209, 289)(182, 262, 211, 291, 219, 299, 216, 296, 212, 292)(183, 263, 213, 293, 210, 290, 222, 302, 214, 294)(186, 266, 217, 297, 236, 316, 204, 284, 218, 298)(193, 273, 228, 308, 198, 278, 234, 314, 226, 306)(197, 277, 232, 312, 230, 310, 220, 300, 233, 313)(202, 282, 238, 318, 207, 287, 221, 301, 239, 319)(224, 304, 237, 317, 227, 307, 240, 320, 235, 315)
	L = (1, 164)(2, 161)(3, 171)(4, 173)(5, 176)(6, 162)(7, 182)(8, 184)(9, 163)(10, 190)(11, 179)(12, 183)(13, 166)(14, 198)(15, 165)(16, 202)(17, 181)(18, 197)(19, 186)(20, 167)(21, 210)(22, 196)(23, 168)(24, 193)(25, 205)(26, 169)(27, 220)(28, 212)(29, 170)(30, 218)(31, 221)(32, 227)(33, 172)(34, 230)(35, 175)(36, 207)(37, 174)(38, 204)(39, 215)(40, 237)(41, 236)(42, 195)(43, 177)(44, 178)(45, 225)(46, 231)(47, 180)(48, 223)(49, 233)(50, 238)(51, 234)(52, 224)(53, 217)(54, 235)(55, 239)(56, 185)(57, 226)(58, 222)(59, 187)(60, 206)(61, 188)(62, 189)(63, 229)(64, 191)(65, 228)(66, 192)(67, 213)(68, 216)(69, 194)(70, 208)(71, 219)(72, 201)(73, 240)(74, 209)(75, 199)(76, 200)(77, 232)(78, 203)(79, 214)(80, 211)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1537
Graph:: bipartite
	v = 32 e = 160 f = 96
	degree seq :: [ 10^32 ]

E17.1537 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {5, 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, R^2, (Y3^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^5, Y2^5, (R * Y2 * Y3^-1)^2, (Y2^-1, Y3)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1, Y2^-1 * Y3^-2 * Y2 * Y3^-2 * Y2^-2 * Y3 * Y2^-1, (Y3 * Y2^-1 * Y3 * Y2^-2)^2, (Y3^-1 * Y1^-1)^5 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242, 166, 246, 173, 253, 164, 244)(163, 243, 169, 249, 182, 262, 187, 267, 171, 251)(165, 245, 174, 254, 192, 272, 179, 259, 167, 247)(168, 248, 180, 260, 203, 283, 197, 277, 176, 256)(170, 250, 184, 264, 209, 289, 212, 292, 185, 265)(172, 252, 188, 268, 210, 290, 220, 300, 190, 270)(175, 255, 195, 275, 227, 307, 196, 276, 193, 273)(177, 257, 198, 278, 229, 309, 222, 302, 191, 271)(178, 258, 200, 280, 183, 263, 208, 288, 201, 281)(181, 261, 206, 286, 238, 318, 221, 301, 204, 284)(186, 266, 213, 293, 228, 308, 230, 310, 215, 295)(189, 269, 217, 297, 199, 279, 231, 311, 218, 298)(194, 274, 225, 305, 237, 317, 211, 291, 223, 303)(202, 282, 224, 304, 239, 319, 214, 294, 233, 313)(205, 285, 236, 316, 219, 299, 232, 312, 234, 314)(207, 287, 240, 320, 226, 306, 235, 315, 216, 296)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 176)(7, 178)(8, 162)(9, 164)(10, 175)(11, 186)(12, 189)(13, 191)(14, 193)(15, 165)(16, 196)(17, 166)(18, 181)(19, 202)(20, 204)(21, 168)(22, 200)(23, 169)(24, 171)(25, 211)(26, 214)(27, 216)(28, 173)(29, 183)(30, 219)(31, 221)(32, 223)(33, 197)(34, 174)(35, 185)(36, 199)(37, 226)(38, 217)(39, 177)(40, 179)(41, 232)(42, 207)(43, 234)(44, 222)(45, 180)(46, 201)(47, 182)(48, 218)(49, 188)(50, 184)(51, 229)(52, 238)(53, 187)(54, 210)(55, 236)(56, 231)(57, 190)(58, 235)(59, 230)(60, 239)(61, 209)(62, 237)(63, 212)(64, 192)(65, 240)(66, 194)(67, 213)(68, 195)(69, 228)(70, 198)(71, 227)(72, 220)(73, 215)(74, 208)(75, 203)(76, 225)(77, 205)(78, 224)(79, 206)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 10, 10 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E17.1536
Graph:: simple bipartite
	v = 96 e = 160 f = 32
	degree seq :: [ 2^80, 10^16 ]

E17.1538 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y3 * Y2)^5, (Y3 * Y1)^8 ]
Map:: non-degenerate
	R = (1, 82, 2, 81)(3, 87, 7, 83)(4, 89, 9, 84)(5, 91, 11, 85)(6, 93, 13, 86)(8, 92, 12, 88)(10, 94, 14, 90)(15, 105, 25, 95)(16, 106, 26, 96)(17, 107, 27, 97)(18, 109, 29, 98)(19, 110, 30, 99)(20, 112, 32, 100)(21, 113, 33, 101)(22, 114, 34, 102)(23, 116, 36, 103)(24, 117, 37, 104)(28, 115, 35, 108)(31, 118, 38, 111)(39, 133, 53, 119)(40, 134, 54, 120)(41, 135, 55, 121)(42, 136, 56, 122)(43, 137, 57, 123)(44, 138, 58, 124)(45, 139, 59, 125)(46, 140, 60, 126)(47, 141, 61, 127)(48, 142, 62, 128)(49, 143, 63, 129)(50, 144, 64, 130)(51, 145, 65, 131)(52, 146, 66, 132)(67, 153, 73, 147)(68, 154, 74, 148)(69, 155, 75, 149)(70, 156, 76, 150)(71, 159, 79, 151)(72, 158, 78, 152)(77, 160, 80, 157)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 46)(33, 48)(35, 50)(36, 47)(37, 52)(42, 57)(44, 59)(49, 64)(51, 66)(53, 67)(54, 69)(55, 68)(56, 71)(58, 72)(60, 73)(61, 75)(62, 74)(63, 77)(65, 78)(70, 79)(76, 80)(81, 84)(82, 86)(83, 88)(85, 92)(87, 96)(89, 95)(90, 99)(91, 101)(93, 100)(94, 104)(97, 108)(98, 110)(102, 115)(103, 117)(105, 120)(106, 119)(107, 122)(109, 124)(111, 123)(112, 127)(113, 126)(114, 129)(116, 131)(118, 130)(121, 136)(125, 137)(128, 143)(132, 144)(133, 148)(134, 147)(135, 150)(138, 149)(139, 151)(140, 154)(141, 153)(142, 156)(145, 155)(146, 157)(152, 159)(158, 160)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1540
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.1539 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 81)(3, 87, 7, 83)(4, 89, 9, 84)(5, 91, 11, 85)(6, 93, 13, 86)(8, 92, 12, 88)(10, 94, 14, 90)(15, 105, 25, 95)(16, 106, 26, 96)(17, 107, 27, 97)(18, 109, 29, 98)(19, 110, 30, 99)(20, 112, 32, 100)(21, 113, 33, 101)(22, 114, 34, 102)(23, 116, 36, 103)(24, 117, 37, 104)(28, 115, 35, 108)(31, 118, 38, 111)(39, 135, 55, 119)(40, 136, 56, 120)(41, 137, 57, 121)(42, 138, 58, 122)(43, 139, 59, 123)(44, 141, 61, 124)(45, 142, 62, 125)(46, 143, 63, 126)(47, 145, 65, 127)(48, 146, 66, 128)(49, 147, 67, 129)(50, 148, 68, 130)(51, 149, 69, 131)(52, 151, 71, 132)(53, 152, 72, 133)(54, 153, 73, 134)(60, 150, 70, 140)(64, 154, 74, 144)(75, 158, 78, 155)(76, 159, 79, 156)(77, 160, 80, 157)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 59)(44, 62)(46, 64)(50, 69)(52, 72)(54, 74)(55, 75)(56, 77)(57, 76)(58, 73)(60, 71)(61, 70)(63, 68)(65, 78)(66, 80)(67, 79)(81, 84)(82, 86)(83, 88)(85, 92)(87, 96)(89, 95)(90, 99)(91, 101)(93, 100)(94, 104)(97, 108)(98, 110)(102, 115)(103, 117)(105, 120)(106, 119)(107, 122)(109, 124)(111, 126)(112, 128)(113, 127)(114, 130)(116, 132)(118, 134)(121, 138)(123, 140)(125, 143)(129, 148)(131, 150)(133, 153)(135, 156)(136, 155)(137, 154)(139, 152)(141, 157)(142, 149)(144, 147)(145, 159)(146, 158)(151, 160)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1541
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.1540 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^-3 * Y3 * Y2 * Y1^-1, Y1^-1 * Y3 * Y1^2 * Y2 * Y1^-1, (Y2 * Y3 * Y1^-1)^2, Y3 * Y1^-2 * Y2 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 82, 2, 86, 6, 98, 18, 93, 13, 105, 25, 90, 10, 102, 22, 97, 17, 85, 5, 81)(3, 89, 9, 107, 27, 115, 35, 100, 20, 94, 14, 84, 4, 92, 12, 99, 19, 91, 11, 83)(7, 101, 21, 95, 15, 113, 33, 114, 34, 106, 26, 88, 8, 104, 24, 96, 16, 103, 23, 87)(28, 121, 41, 110, 30, 125, 45, 112, 32, 124, 44, 109, 29, 123, 43, 111, 31, 122, 42, 108)(36, 126, 46, 118, 38, 130, 50, 120, 40, 129, 49, 117, 37, 128, 48, 119, 39, 127, 47, 116)(51, 141, 61, 133, 53, 145, 65, 135, 55, 144, 64, 132, 52, 143, 63, 134, 54, 142, 62, 131)(56, 146, 66, 138, 58, 150, 70, 140, 60, 149, 69, 137, 57, 148, 68, 139, 59, 147, 67, 136)(71, 156, 76, 153, 73, 158, 78, 155, 75, 160, 80, 152, 72, 157, 77, 154, 74, 159, 79, 151)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 32)(14, 29)(16, 18)(17, 27)(21, 36)(22, 34)(23, 38)(24, 40)(26, 37)(31, 35)(33, 39)(41, 51)(42, 53)(43, 55)(44, 52)(45, 54)(46, 56)(47, 58)(48, 60)(49, 57)(50, 59)(61, 71)(62, 73)(63, 75)(64, 72)(65, 74)(66, 76)(67, 78)(68, 80)(69, 77)(70, 79)(81, 84)(82, 88)(83, 90)(85, 96)(86, 100)(87, 102)(89, 109)(91, 111)(92, 108)(93, 107)(94, 110)(95, 105)(97, 99)(98, 114)(101, 117)(103, 119)(104, 116)(106, 118)(112, 115)(113, 120)(121, 132)(122, 134)(123, 131)(124, 133)(125, 135)(126, 137)(127, 139)(128, 136)(129, 138)(130, 140)(141, 152)(142, 154)(143, 151)(144, 153)(145, 155)(146, 157)(147, 159)(148, 156)(149, 158)(150, 160)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1538
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.1541 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: halfedge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, (Y1 * Y3 * Y2)^2, Y1^-2 * Y2 * Y3 * Y2 * Y3, (Y1^-2 * Y2)^2, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 82, 2, 86, 6, 98, 18, 118, 38, 140, 60, 139, 59, 117, 37, 97, 17, 85, 5, 81)(3, 89, 9, 107, 27, 129, 49, 151, 71, 159, 79, 141, 61, 122, 42, 99, 19, 91, 11, 83)(4, 92, 12, 112, 32, 135, 55, 154, 74, 160, 80, 142, 62, 123, 43, 100, 20, 94, 14, 84)(7, 101, 21, 95, 15, 115, 35, 137, 57, 153, 73, 156, 76, 144, 64, 119, 39, 103, 23, 87)(8, 104, 24, 96, 16, 116, 36, 138, 58, 152, 72, 157, 77, 145, 65, 120, 40, 106, 26, 88)(10, 102, 22, 121, 41, 143, 63, 158, 78, 155, 75, 136, 56, 114, 34, 93, 13, 105, 25, 90)(28, 130, 50, 110, 30, 133, 53, 146, 66, 128, 48, 150, 70, 125, 45, 149, 69, 127, 47, 108)(29, 131, 51, 111, 31, 134, 54, 147, 67, 124, 44, 148, 68, 126, 46, 113, 33, 132, 52, 109)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 39)(21, 44)(22, 40)(23, 46)(24, 48)(26, 45)(31, 43)(32, 56)(35, 54)(36, 53)(37, 57)(38, 61)(41, 62)(42, 66)(47, 65)(49, 69)(50, 72)(51, 73)(52, 64)(55, 68)(58, 75)(59, 71)(60, 76)(63, 77)(67, 80)(70, 79)(74, 78)(81, 84)(82, 88)(83, 90)(85, 96)(86, 100)(87, 102)(89, 109)(91, 111)(92, 108)(93, 107)(94, 110)(95, 105)(97, 112)(98, 120)(99, 121)(101, 125)(103, 127)(104, 124)(106, 126)(113, 129)(114, 137)(115, 128)(116, 134)(117, 138)(118, 142)(119, 143)(122, 147)(123, 146)(130, 144)(131, 152)(132, 145)(133, 153)(135, 149)(136, 151)(139, 154)(140, 157)(141, 158)(148, 159)(150, 160)(155, 156)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1539
Transitivity :: VT+ AT
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.1542 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^5, (Y3 * Y2)^8 ]
Map::
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 8, 88)(5, 85, 12, 92)(7, 87, 16, 96)(9, 89, 18, 98)(10, 90, 19, 99)(11, 91, 21, 101)(13, 93, 23, 103)(14, 94, 24, 104)(15, 95, 26, 106)(17, 97, 28, 108)(20, 100, 33, 113)(22, 102, 35, 115)(25, 105, 39, 119)(27, 107, 41, 121)(29, 109, 43, 123)(30, 110, 44, 124)(31, 111, 45, 125)(32, 112, 46, 126)(34, 114, 48, 128)(36, 116, 50, 130)(37, 117, 51, 131)(38, 118, 52, 132)(40, 120, 53, 133)(42, 122, 55, 135)(47, 127, 60, 140)(49, 129, 62, 142)(54, 134, 67, 147)(56, 136, 69, 149)(57, 137, 70, 150)(58, 138, 71, 151)(59, 139, 72, 152)(61, 141, 73, 153)(63, 143, 75, 155)(64, 144, 76, 156)(65, 145, 77, 157)(66, 146, 78, 158)(68, 148, 79, 159)(74, 154, 80, 160)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 176)(172, 182)(174, 181)(175, 185)(178, 189)(179, 191)(180, 192)(183, 196)(184, 198)(186, 200)(187, 199)(188, 197)(190, 195)(193, 207)(194, 206)(201, 214)(202, 213)(203, 216)(204, 218)(205, 217)(208, 221)(209, 220)(210, 223)(211, 225)(212, 224)(215, 228)(219, 227)(222, 234)(226, 233)(229, 235)(230, 237)(231, 236)(232, 239)(238, 240)(241, 243)(242, 245)(244, 250)(246, 254)(247, 255)(248, 253)(249, 252)(251, 260)(256, 267)(257, 266)(258, 270)(259, 269)(261, 274)(262, 273)(263, 277)(264, 276)(265, 272)(268, 282)(271, 281)(275, 289)(278, 288)(279, 287)(280, 286)(283, 297)(284, 296)(285, 299)(290, 304)(291, 303)(292, 306)(293, 301)(294, 300)(295, 305)(298, 302)(307, 314)(308, 313)(309, 316)(310, 315)(311, 318)(312, 317)(319, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1548
Graph:: simple bipartite
	v = 120 e = 160 f = 8
	degree seq :: [ 2^80, 4^40 ]

E17.1543 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2)^8 ]
Map:: polytopal
	R = (1, 81, 4, 84)(2, 82, 6, 86)(3, 83, 8, 88)(5, 85, 12, 92)(7, 87, 16, 96)(9, 89, 18, 98)(10, 90, 19, 99)(11, 91, 21, 101)(13, 93, 23, 103)(14, 94, 24, 104)(15, 95, 26, 106)(17, 97, 28, 108)(20, 100, 33, 113)(22, 102, 35, 115)(25, 105, 40, 120)(27, 107, 42, 122)(29, 109, 44, 124)(30, 110, 45, 125)(31, 111, 46, 126)(32, 112, 48, 128)(34, 114, 50, 130)(36, 116, 52, 132)(37, 117, 53, 133)(38, 118, 54, 134)(39, 119, 56, 136)(41, 121, 58, 138)(43, 123, 60, 140)(47, 127, 66, 146)(49, 129, 68, 148)(51, 131, 70, 150)(55, 135, 74, 154)(57, 137, 69, 149)(59, 139, 67, 147)(61, 141, 76, 156)(62, 142, 77, 157)(63, 143, 75, 155)(64, 144, 65, 145)(71, 151, 79, 159)(72, 152, 80, 160)(73, 153, 78, 158)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 176)(172, 182)(174, 181)(175, 185)(178, 189)(179, 191)(180, 192)(183, 196)(184, 198)(186, 201)(187, 200)(188, 197)(190, 195)(193, 209)(194, 208)(199, 215)(202, 219)(203, 218)(204, 221)(205, 223)(206, 222)(207, 225)(210, 229)(211, 228)(212, 231)(213, 233)(214, 232)(216, 230)(217, 234)(220, 226)(224, 227)(235, 240)(236, 239)(237, 238)(241, 243)(242, 245)(244, 250)(246, 254)(247, 255)(248, 253)(249, 252)(251, 260)(256, 267)(257, 266)(258, 270)(259, 269)(261, 274)(262, 273)(263, 277)(264, 276)(265, 279)(268, 283)(271, 282)(272, 287)(275, 291)(278, 290)(280, 297)(281, 296)(284, 302)(285, 301)(286, 304)(288, 307)(289, 306)(292, 312)(293, 311)(294, 314)(295, 315)(298, 308)(299, 309)(300, 313)(303, 310)(305, 318)(316, 320)(317, 319)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1549
Graph:: simple bipartite
	v = 120 e = 160 f = 8
	degree seq :: [ 2^80, 4^40 ]

E17.1544 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-4 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, (Y3^-1 * Y1)^8 ]
Map::
	R = (1, 81, 4, 84, 14, 94, 20, 100, 6, 86, 19, 99, 9, 89, 27, 107, 17, 97, 5, 85)(2, 82, 7, 87, 23, 103, 11, 91, 3, 83, 10, 90, 18, 98, 34, 114, 26, 106, 8, 88)(12, 92, 29, 109, 15, 95, 32, 112, 13, 93, 31, 111, 16, 96, 33, 113, 35, 115, 30, 110)(21, 101, 36, 116, 24, 104, 39, 119, 22, 102, 38, 118, 25, 105, 40, 120, 28, 108, 37, 117)(41, 121, 51, 131, 43, 123, 54, 134, 42, 122, 53, 133, 44, 124, 55, 135, 45, 125, 52, 132)(46, 126, 56, 136, 48, 128, 59, 139, 47, 127, 58, 138, 49, 129, 60, 140, 50, 130, 57, 137)(61, 141, 71, 151, 63, 143, 74, 154, 62, 142, 73, 153, 64, 144, 75, 155, 65, 145, 72, 152)(66, 146, 76, 156, 68, 148, 79, 159, 67, 147, 78, 158, 69, 149, 80, 160, 70, 150, 77, 157)(161, 162)(163, 169)(164, 172)(165, 175)(166, 178)(167, 181)(168, 184)(170, 185)(171, 188)(173, 187)(174, 186)(176, 179)(177, 183)(180, 195)(182, 194)(189, 201)(190, 203)(191, 204)(192, 205)(193, 202)(196, 206)(197, 208)(198, 209)(199, 210)(200, 207)(211, 221)(212, 223)(213, 224)(214, 225)(215, 222)(216, 226)(217, 228)(218, 229)(219, 230)(220, 227)(231, 236)(232, 239)(233, 240)(234, 237)(235, 238)(241, 243)(242, 246)(244, 253)(245, 256)(247, 262)(248, 265)(249, 266)(250, 261)(251, 264)(252, 259)(254, 263)(255, 260)(257, 258)(267, 275)(268, 274)(269, 282)(270, 284)(271, 281)(272, 283)(273, 285)(276, 287)(277, 289)(278, 286)(279, 288)(280, 290)(291, 302)(292, 304)(293, 301)(294, 303)(295, 305)(296, 307)(297, 309)(298, 306)(299, 308)(300, 310)(311, 318)(312, 320)(313, 316)(314, 319)(315, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1546
Graph:: simple bipartite
	v = 88 e = 160 f = 40
	degree seq :: [ 2^80, 20^8 ]

E17.1545 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 10})
Quotient :: edge^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2 * Y1)^2, (Y3^2 * Y1)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^10 ]
Map:: polytopal
	R = (1, 81, 4, 84, 14, 94, 34, 114, 57, 137, 75, 155, 59, 139, 37, 117, 17, 97, 5, 85)(2, 82, 7, 87, 23, 103, 45, 125, 68, 148, 80, 160, 70, 150, 48, 128, 26, 106, 8, 88)(3, 83, 10, 90, 18, 98, 38, 118, 61, 141, 76, 156, 73, 153, 52, 132, 29, 109, 11, 91)(6, 86, 19, 99, 9, 89, 27, 107, 50, 130, 71, 151, 78, 158, 63, 143, 40, 120, 20, 100)(12, 92, 30, 110, 15, 95, 35, 115, 58, 138, 65, 145, 79, 159, 66, 146, 49, 129, 31, 111)(13, 93, 32, 112, 16, 96, 36, 116, 39, 119, 62, 142, 77, 157, 64, 144, 56, 136, 33, 113)(21, 101, 41, 121, 24, 104, 46, 126, 69, 149, 54, 134, 74, 154, 55, 135, 60, 140, 42, 122)(22, 102, 43, 123, 25, 105, 47, 127, 28, 108, 51, 131, 72, 152, 53, 133, 67, 147, 44, 124)(161, 162)(163, 169)(164, 172)(165, 175)(166, 178)(167, 181)(168, 184)(170, 185)(171, 188)(173, 187)(174, 186)(176, 179)(177, 183)(180, 199)(182, 198)(189, 210)(190, 213)(191, 204)(192, 215)(193, 202)(194, 209)(195, 211)(196, 214)(197, 218)(200, 221)(201, 224)(203, 226)(205, 220)(206, 222)(207, 225)(208, 229)(212, 232)(216, 231)(217, 230)(219, 228)(223, 237)(227, 236)(233, 238)(234, 240)(235, 239)(241, 243)(242, 246)(244, 253)(245, 256)(247, 262)(248, 265)(249, 266)(250, 261)(251, 264)(252, 259)(254, 269)(255, 260)(257, 258)(263, 280)(267, 289)(268, 288)(270, 294)(271, 295)(272, 293)(273, 284)(274, 296)(275, 286)(276, 291)(277, 279)(278, 300)(281, 305)(282, 306)(283, 304)(285, 307)(287, 302)(290, 310)(292, 309)(297, 313)(298, 303)(299, 301)(308, 318)(311, 319)(312, 320)(314, 316)(315, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 8 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1547
Graph:: simple bipartite
	v = 88 e = 160 f = 40
	degree seq :: [ 2^80, 20^8 ]

E17.1546 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^5, (Y3 * Y2)^8 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 8, 88, 168, 248)(5, 85, 165, 245, 12, 92, 172, 252)(7, 87, 167, 247, 16, 96, 176, 256)(9, 89, 169, 249, 18, 98, 178, 258)(10, 90, 170, 250, 19, 99, 179, 259)(11, 91, 171, 251, 21, 101, 181, 261)(13, 93, 173, 253, 23, 103, 183, 263)(14, 94, 174, 254, 24, 104, 184, 264)(15, 95, 175, 255, 26, 106, 186, 266)(17, 97, 177, 257, 28, 108, 188, 268)(20, 100, 180, 260, 33, 113, 193, 273)(22, 102, 182, 262, 35, 115, 195, 275)(25, 105, 185, 265, 39, 119, 199, 279)(27, 107, 187, 267, 41, 121, 201, 281)(29, 109, 189, 269, 43, 123, 203, 283)(30, 110, 190, 270, 44, 124, 204, 284)(31, 111, 191, 271, 45, 125, 205, 285)(32, 112, 192, 272, 46, 126, 206, 286)(34, 114, 194, 274, 48, 128, 208, 288)(36, 116, 196, 276, 50, 130, 210, 290)(37, 117, 197, 277, 51, 131, 211, 291)(38, 118, 198, 278, 52, 132, 212, 292)(40, 120, 200, 280, 53, 133, 213, 293)(42, 122, 202, 282, 55, 135, 215, 295)(47, 127, 207, 287, 60, 140, 220, 300)(49, 129, 209, 289, 62, 142, 222, 302)(54, 134, 214, 294, 67, 147, 227, 307)(56, 136, 216, 296, 69, 149, 229, 309)(57, 137, 217, 297, 70, 150, 230, 310)(58, 138, 218, 298, 71, 151, 231, 311)(59, 139, 219, 299, 72, 152, 232, 312)(61, 141, 221, 301, 73, 153, 233, 313)(63, 143, 223, 303, 75, 155, 235, 315)(64, 144, 224, 304, 76, 156, 236, 316)(65, 145, 225, 305, 77, 157, 237, 317)(66, 146, 226, 306, 78, 158, 238, 318)(68, 148, 228, 308, 79, 159, 239, 319)(74, 154, 234, 314, 80, 160, 240, 320)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 97)(9, 84)(10, 96)(11, 85)(12, 102)(13, 86)(14, 101)(15, 105)(16, 90)(17, 88)(18, 109)(19, 111)(20, 112)(21, 94)(22, 92)(23, 116)(24, 118)(25, 95)(26, 120)(27, 119)(28, 117)(29, 98)(30, 115)(31, 99)(32, 100)(33, 127)(34, 126)(35, 110)(36, 103)(37, 108)(38, 104)(39, 107)(40, 106)(41, 134)(42, 133)(43, 136)(44, 138)(45, 137)(46, 114)(47, 113)(48, 141)(49, 140)(50, 143)(51, 145)(52, 144)(53, 122)(54, 121)(55, 148)(56, 123)(57, 125)(58, 124)(59, 147)(60, 129)(61, 128)(62, 154)(63, 130)(64, 132)(65, 131)(66, 153)(67, 139)(68, 135)(69, 155)(70, 157)(71, 156)(72, 159)(73, 146)(74, 142)(75, 149)(76, 151)(77, 150)(78, 160)(79, 152)(80, 158)(161, 243)(162, 245)(163, 241)(164, 250)(165, 242)(166, 254)(167, 255)(168, 253)(169, 252)(170, 244)(171, 260)(172, 249)(173, 248)(174, 246)(175, 247)(176, 267)(177, 266)(178, 270)(179, 269)(180, 251)(181, 274)(182, 273)(183, 277)(184, 276)(185, 272)(186, 257)(187, 256)(188, 282)(189, 259)(190, 258)(191, 281)(192, 265)(193, 262)(194, 261)(195, 289)(196, 264)(197, 263)(198, 288)(199, 287)(200, 286)(201, 271)(202, 268)(203, 297)(204, 296)(205, 299)(206, 280)(207, 279)(208, 278)(209, 275)(210, 304)(211, 303)(212, 306)(213, 301)(214, 300)(215, 305)(216, 284)(217, 283)(218, 302)(219, 285)(220, 294)(221, 293)(222, 298)(223, 291)(224, 290)(225, 295)(226, 292)(227, 314)(228, 313)(229, 316)(230, 315)(231, 318)(232, 317)(233, 308)(234, 307)(235, 310)(236, 309)(237, 312)(238, 311)(239, 320)(240, 319)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1544
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 88
	degree seq :: [ 8^40 ]

E17.1547 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1, (Y3 * Y2)^8 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244)(2, 82, 162, 242, 6, 86, 166, 246)(3, 83, 163, 243, 8, 88, 168, 248)(5, 85, 165, 245, 12, 92, 172, 252)(7, 87, 167, 247, 16, 96, 176, 256)(9, 89, 169, 249, 18, 98, 178, 258)(10, 90, 170, 250, 19, 99, 179, 259)(11, 91, 171, 251, 21, 101, 181, 261)(13, 93, 173, 253, 23, 103, 183, 263)(14, 94, 174, 254, 24, 104, 184, 264)(15, 95, 175, 255, 26, 106, 186, 266)(17, 97, 177, 257, 28, 108, 188, 268)(20, 100, 180, 260, 33, 113, 193, 273)(22, 102, 182, 262, 35, 115, 195, 275)(25, 105, 185, 265, 40, 120, 200, 280)(27, 107, 187, 267, 42, 122, 202, 282)(29, 109, 189, 269, 44, 124, 204, 284)(30, 110, 190, 270, 45, 125, 205, 285)(31, 111, 191, 271, 46, 126, 206, 286)(32, 112, 192, 272, 48, 128, 208, 288)(34, 114, 194, 274, 50, 130, 210, 290)(36, 116, 196, 276, 52, 132, 212, 292)(37, 117, 197, 277, 53, 133, 213, 293)(38, 118, 198, 278, 54, 134, 214, 294)(39, 119, 199, 279, 56, 136, 216, 296)(41, 121, 201, 281, 58, 138, 218, 298)(43, 123, 203, 283, 60, 140, 220, 300)(47, 127, 207, 287, 66, 146, 226, 306)(49, 129, 209, 289, 68, 148, 228, 308)(51, 131, 211, 291, 70, 150, 230, 310)(55, 135, 215, 295, 74, 154, 234, 314)(57, 137, 217, 297, 69, 149, 229, 309)(59, 139, 219, 299, 67, 147, 227, 307)(61, 141, 221, 301, 76, 156, 236, 316)(62, 142, 222, 302, 77, 157, 237, 317)(63, 143, 223, 303, 75, 155, 235, 315)(64, 144, 224, 304, 65, 145, 225, 305)(71, 151, 231, 311, 79, 159, 239, 319)(72, 152, 232, 312, 80, 160, 240, 320)(73, 153, 233, 313, 78, 158, 238, 318)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 97)(9, 84)(10, 96)(11, 85)(12, 102)(13, 86)(14, 101)(15, 105)(16, 90)(17, 88)(18, 109)(19, 111)(20, 112)(21, 94)(22, 92)(23, 116)(24, 118)(25, 95)(26, 121)(27, 120)(28, 117)(29, 98)(30, 115)(31, 99)(32, 100)(33, 129)(34, 128)(35, 110)(36, 103)(37, 108)(38, 104)(39, 135)(40, 107)(41, 106)(42, 139)(43, 138)(44, 141)(45, 143)(46, 142)(47, 145)(48, 114)(49, 113)(50, 149)(51, 148)(52, 151)(53, 153)(54, 152)(55, 119)(56, 150)(57, 154)(58, 123)(59, 122)(60, 146)(61, 124)(62, 126)(63, 125)(64, 147)(65, 127)(66, 140)(67, 144)(68, 131)(69, 130)(70, 136)(71, 132)(72, 134)(73, 133)(74, 137)(75, 160)(76, 159)(77, 158)(78, 157)(79, 156)(80, 155)(161, 243)(162, 245)(163, 241)(164, 250)(165, 242)(166, 254)(167, 255)(168, 253)(169, 252)(170, 244)(171, 260)(172, 249)(173, 248)(174, 246)(175, 247)(176, 267)(177, 266)(178, 270)(179, 269)(180, 251)(181, 274)(182, 273)(183, 277)(184, 276)(185, 279)(186, 257)(187, 256)(188, 283)(189, 259)(190, 258)(191, 282)(192, 287)(193, 262)(194, 261)(195, 291)(196, 264)(197, 263)(198, 290)(199, 265)(200, 297)(201, 296)(202, 271)(203, 268)(204, 302)(205, 301)(206, 304)(207, 272)(208, 307)(209, 306)(210, 278)(211, 275)(212, 312)(213, 311)(214, 314)(215, 315)(216, 281)(217, 280)(218, 308)(219, 309)(220, 313)(221, 285)(222, 284)(223, 310)(224, 286)(225, 318)(226, 289)(227, 288)(228, 298)(229, 299)(230, 303)(231, 293)(232, 292)(233, 300)(234, 294)(235, 295)(236, 320)(237, 319)(238, 305)(239, 317)(240, 316)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1545
Transitivity :: VT+
Graph:: bipartite
	v = 40 e = 160 f = 88
	degree seq :: [ 8^40 ]

E17.1548 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-4 * Y1 * Y2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, (Y3^-1 * Y1)^8 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 14, 94, 174, 254, 20, 100, 180, 260, 6, 86, 166, 246, 19, 99, 179, 259, 9, 89, 169, 249, 27, 107, 187, 267, 17, 97, 177, 257, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 23, 103, 183, 263, 11, 91, 171, 251, 3, 83, 163, 243, 10, 90, 170, 250, 18, 98, 178, 258, 34, 114, 194, 274, 26, 106, 186, 266, 8, 88, 168, 248)(12, 92, 172, 252, 29, 109, 189, 269, 15, 95, 175, 255, 32, 112, 192, 272, 13, 93, 173, 253, 31, 111, 191, 271, 16, 96, 176, 256, 33, 113, 193, 273, 35, 115, 195, 275, 30, 110, 190, 270)(21, 101, 181, 261, 36, 116, 196, 276, 24, 104, 184, 264, 39, 119, 199, 279, 22, 102, 182, 262, 38, 118, 198, 278, 25, 105, 185, 265, 40, 120, 200, 280, 28, 108, 188, 268, 37, 117, 197, 277)(41, 121, 201, 281, 51, 131, 211, 291, 43, 123, 203, 283, 54, 134, 214, 294, 42, 122, 202, 282, 53, 133, 213, 293, 44, 124, 204, 284, 55, 135, 215, 295, 45, 125, 205, 285, 52, 132, 212, 292)(46, 126, 206, 286, 56, 136, 216, 296, 48, 128, 208, 288, 59, 139, 219, 299, 47, 127, 207, 287, 58, 138, 218, 298, 49, 129, 209, 289, 60, 140, 220, 300, 50, 130, 210, 290, 57, 137, 217, 297)(61, 141, 221, 301, 71, 151, 231, 311, 63, 143, 223, 303, 74, 154, 234, 314, 62, 142, 222, 302, 73, 153, 233, 313, 64, 144, 224, 304, 75, 155, 235, 315, 65, 145, 225, 305, 72, 152, 232, 312)(66, 146, 226, 306, 76, 156, 236, 316, 68, 148, 228, 308, 79, 159, 239, 319, 67, 147, 227, 307, 78, 158, 238, 318, 69, 149, 229, 309, 80, 160, 240, 320, 70, 150, 230, 310, 77, 157, 237, 317)
	L = (1, 82)(2, 81)(3, 89)(4, 92)(5, 95)(6, 98)(7, 101)(8, 104)(9, 83)(10, 105)(11, 108)(12, 84)(13, 107)(14, 106)(15, 85)(16, 99)(17, 103)(18, 86)(19, 96)(20, 115)(21, 87)(22, 114)(23, 97)(24, 88)(25, 90)(26, 94)(27, 93)(28, 91)(29, 121)(30, 123)(31, 124)(32, 125)(33, 122)(34, 102)(35, 100)(36, 126)(37, 128)(38, 129)(39, 130)(40, 127)(41, 109)(42, 113)(43, 110)(44, 111)(45, 112)(46, 116)(47, 120)(48, 117)(49, 118)(50, 119)(51, 141)(52, 143)(53, 144)(54, 145)(55, 142)(56, 146)(57, 148)(58, 149)(59, 150)(60, 147)(61, 131)(62, 135)(63, 132)(64, 133)(65, 134)(66, 136)(67, 140)(68, 137)(69, 138)(70, 139)(71, 156)(72, 159)(73, 160)(74, 157)(75, 158)(76, 151)(77, 154)(78, 155)(79, 152)(80, 153)(161, 243)(162, 246)(163, 241)(164, 253)(165, 256)(166, 242)(167, 262)(168, 265)(169, 266)(170, 261)(171, 264)(172, 259)(173, 244)(174, 263)(175, 260)(176, 245)(177, 258)(178, 257)(179, 252)(180, 255)(181, 250)(182, 247)(183, 254)(184, 251)(185, 248)(186, 249)(187, 275)(188, 274)(189, 282)(190, 284)(191, 281)(192, 283)(193, 285)(194, 268)(195, 267)(196, 287)(197, 289)(198, 286)(199, 288)(200, 290)(201, 271)(202, 269)(203, 272)(204, 270)(205, 273)(206, 278)(207, 276)(208, 279)(209, 277)(210, 280)(211, 302)(212, 304)(213, 301)(214, 303)(215, 305)(216, 307)(217, 309)(218, 306)(219, 308)(220, 310)(221, 293)(222, 291)(223, 294)(224, 292)(225, 295)(226, 298)(227, 296)(228, 299)(229, 297)(230, 300)(231, 318)(232, 320)(233, 316)(234, 319)(235, 317)(236, 313)(237, 315)(238, 311)(239, 314)(240, 312)
	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 E17.1542
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 160 f = 120
	degree seq :: [ 40^8 ]

E17.1549 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 10})
Quotient :: loop^2
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = (D8 x D10) : C2 (small group id <160, 135>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, (Y3^-1 * Y2 * Y1)^2, (Y3^2 * Y1)^2, Y1 * Y2 * Y1 * Y3^-2 * Y2, Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y3^10 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 14, 94, 174, 254, 34, 114, 194, 274, 57, 137, 217, 297, 75, 155, 235, 315, 59, 139, 219, 299, 37, 117, 197, 277, 17, 97, 177, 257, 5, 85, 165, 245)(2, 82, 162, 242, 7, 87, 167, 247, 23, 103, 183, 263, 45, 125, 205, 285, 68, 148, 228, 308, 80, 160, 240, 320, 70, 150, 230, 310, 48, 128, 208, 288, 26, 106, 186, 266, 8, 88, 168, 248)(3, 83, 163, 243, 10, 90, 170, 250, 18, 98, 178, 258, 38, 118, 198, 278, 61, 141, 221, 301, 76, 156, 236, 316, 73, 153, 233, 313, 52, 132, 212, 292, 29, 109, 189, 269, 11, 91, 171, 251)(6, 86, 166, 246, 19, 99, 179, 259, 9, 89, 169, 249, 27, 107, 187, 267, 50, 130, 210, 290, 71, 151, 231, 311, 78, 158, 238, 318, 63, 143, 223, 303, 40, 120, 200, 280, 20, 100, 180, 260)(12, 92, 172, 252, 30, 110, 190, 270, 15, 95, 175, 255, 35, 115, 195, 275, 58, 138, 218, 298, 65, 145, 225, 305, 79, 159, 239, 319, 66, 146, 226, 306, 49, 129, 209, 289, 31, 111, 191, 271)(13, 93, 173, 253, 32, 112, 192, 272, 16, 96, 176, 256, 36, 116, 196, 276, 39, 119, 199, 279, 62, 142, 222, 302, 77, 157, 237, 317, 64, 144, 224, 304, 56, 136, 216, 296, 33, 113, 193, 273)(21, 101, 181, 261, 41, 121, 201, 281, 24, 104, 184, 264, 46, 126, 206, 286, 69, 149, 229, 309, 54, 134, 214, 294, 74, 154, 234, 314, 55, 135, 215, 295, 60, 140, 220, 300, 42, 122, 202, 282)(22, 102, 182, 262, 43, 123, 203, 283, 25, 105, 185, 265, 47, 127, 207, 287, 28, 108, 188, 268, 51, 131, 211, 291, 72, 152, 232, 312, 53, 133, 213, 293, 67, 147, 227, 307, 44, 124, 204, 284)
	L = (1, 82)(2, 81)(3, 89)(4, 92)(5, 95)(6, 98)(7, 101)(8, 104)(9, 83)(10, 105)(11, 108)(12, 84)(13, 107)(14, 106)(15, 85)(16, 99)(17, 103)(18, 86)(19, 96)(20, 119)(21, 87)(22, 118)(23, 97)(24, 88)(25, 90)(26, 94)(27, 93)(28, 91)(29, 130)(30, 133)(31, 124)(32, 135)(33, 122)(34, 129)(35, 131)(36, 134)(37, 138)(38, 102)(39, 100)(40, 141)(41, 144)(42, 113)(43, 146)(44, 111)(45, 140)(46, 142)(47, 145)(48, 149)(49, 114)(50, 109)(51, 115)(52, 152)(53, 110)(54, 116)(55, 112)(56, 151)(57, 150)(58, 117)(59, 148)(60, 125)(61, 120)(62, 126)(63, 157)(64, 121)(65, 127)(66, 123)(67, 156)(68, 139)(69, 128)(70, 137)(71, 136)(72, 132)(73, 158)(74, 160)(75, 159)(76, 147)(77, 143)(78, 153)(79, 155)(80, 154)(161, 243)(162, 246)(163, 241)(164, 253)(165, 256)(166, 242)(167, 262)(168, 265)(169, 266)(170, 261)(171, 264)(172, 259)(173, 244)(174, 269)(175, 260)(176, 245)(177, 258)(178, 257)(179, 252)(180, 255)(181, 250)(182, 247)(183, 280)(184, 251)(185, 248)(186, 249)(187, 289)(188, 288)(189, 254)(190, 294)(191, 295)(192, 293)(193, 284)(194, 296)(195, 286)(196, 291)(197, 279)(198, 300)(199, 277)(200, 263)(201, 305)(202, 306)(203, 304)(204, 273)(205, 307)(206, 275)(207, 302)(208, 268)(209, 267)(210, 310)(211, 276)(212, 309)(213, 272)(214, 270)(215, 271)(216, 274)(217, 313)(218, 303)(219, 301)(220, 278)(221, 299)(222, 287)(223, 298)(224, 283)(225, 281)(226, 282)(227, 285)(228, 318)(229, 292)(230, 290)(231, 319)(232, 320)(233, 297)(234, 316)(235, 317)(236, 314)(237, 315)(238, 308)(239, 311)(240, 312)
	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 E17.1543
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 160 f = 120
	degree seq :: [ 40^8 ]

E17.1550 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, Y3^8, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 12, 92)(5, 85, 14, 94)(6, 86, 16, 96)(7, 87, 19, 99)(8, 88, 21, 101)(10, 90, 24, 104)(11, 91, 26, 106)(13, 93, 22, 102)(15, 95, 20, 100)(17, 97, 34, 114)(18, 98, 36, 116)(23, 103, 37, 117)(25, 105, 43, 123)(27, 107, 33, 113)(28, 108, 50, 130)(29, 109, 51, 131)(30, 110, 52, 132)(31, 111, 54, 134)(32, 112, 44, 124)(35, 115, 55, 135)(38, 118, 62, 142)(39, 119, 63, 143)(40, 120, 64, 144)(41, 121, 66, 146)(42, 122, 56, 136)(45, 125, 68, 148)(46, 126, 69, 149)(47, 127, 70, 150)(48, 128, 71, 151)(49, 129, 72, 152)(53, 133, 65, 145)(57, 137, 73, 153)(58, 138, 75, 155)(59, 139, 78, 158)(60, 140, 74, 154)(61, 141, 76, 156)(67, 147, 79, 159)(77, 157, 80, 160)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 171, 251)(165, 245, 170, 250)(167, 247, 178, 258)(168, 248, 177, 257)(169, 249, 180, 260)(172, 252, 187, 267)(173, 253, 176, 256)(174, 254, 186, 266)(175, 255, 185, 265)(179, 259, 197, 277)(181, 261, 196, 276)(182, 262, 195, 275)(183, 263, 200, 280)(184, 264, 204, 284)(188, 268, 208, 288)(189, 269, 209, 289)(190, 270, 193, 273)(191, 271, 205, 285)(192, 272, 207, 287)(194, 274, 216, 296)(198, 278, 220, 300)(199, 279, 221, 301)(201, 281, 217, 297)(202, 282, 219, 299)(203, 283, 225, 305)(206, 286, 227, 307)(210, 290, 228, 308)(211, 291, 231, 311)(212, 292, 230, 310)(213, 293, 215, 295)(214, 294, 229, 309)(218, 298, 237, 317)(222, 302, 233, 313)(223, 303, 234, 314)(224, 304, 238, 318)(226, 306, 235, 315)(232, 312, 239, 319)(236, 316, 240, 320)
	L = (1, 164)(2, 167)(3, 170)(4, 173)(5, 161)(6, 177)(7, 180)(8, 162)(9, 178)(10, 185)(11, 163)(12, 188)(13, 190)(14, 191)(15, 165)(16, 171)(17, 195)(18, 166)(19, 198)(20, 200)(21, 201)(22, 168)(23, 169)(24, 205)(25, 207)(26, 208)(27, 209)(28, 174)(29, 172)(30, 213)(31, 204)(32, 175)(33, 176)(34, 217)(35, 219)(36, 220)(37, 221)(38, 181)(39, 179)(40, 225)(41, 216)(42, 182)(43, 183)(44, 227)(45, 186)(46, 184)(47, 215)(48, 187)(49, 230)(50, 233)(51, 235)(52, 189)(53, 192)(54, 234)(55, 193)(56, 237)(57, 196)(58, 194)(59, 203)(60, 197)(61, 238)(62, 228)(63, 229)(64, 199)(65, 202)(66, 231)(67, 212)(68, 223)(69, 240)(70, 206)(71, 222)(72, 226)(73, 211)(74, 210)(75, 239)(76, 214)(77, 224)(78, 218)(79, 236)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1552
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1551 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^8, Y3^2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3^-2 * Y2, Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 12, 92)(5, 85, 14, 94)(6, 86, 16, 96)(7, 87, 19, 99)(8, 88, 21, 101)(10, 90, 24, 104)(11, 91, 26, 106)(13, 93, 22, 102)(15, 95, 20, 100)(17, 97, 34, 114)(18, 98, 36, 116)(23, 103, 37, 117)(25, 105, 43, 123)(27, 107, 33, 113)(28, 108, 50, 130)(29, 109, 51, 131)(30, 110, 52, 132)(31, 111, 54, 134)(32, 112, 44, 124)(35, 115, 55, 135)(38, 118, 62, 142)(39, 119, 63, 143)(40, 120, 64, 144)(41, 121, 66, 146)(42, 122, 56, 136)(45, 125, 68, 148)(46, 126, 69, 149)(47, 127, 70, 150)(48, 128, 71, 151)(49, 129, 72, 152)(53, 133, 65, 145)(57, 137, 76, 156)(58, 138, 74, 154)(59, 139, 78, 158)(60, 140, 75, 155)(61, 141, 73, 153)(67, 147, 79, 159)(77, 157, 80, 160)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 171, 251)(165, 245, 170, 250)(167, 247, 178, 258)(168, 248, 177, 257)(169, 249, 180, 260)(172, 252, 187, 267)(173, 253, 176, 256)(174, 254, 186, 266)(175, 255, 185, 265)(179, 259, 197, 277)(181, 261, 196, 276)(182, 262, 195, 275)(183, 263, 200, 280)(184, 264, 204, 284)(188, 268, 208, 288)(189, 269, 209, 289)(190, 270, 193, 273)(191, 271, 205, 285)(192, 272, 207, 287)(194, 274, 216, 296)(198, 278, 220, 300)(199, 279, 221, 301)(201, 281, 217, 297)(202, 282, 219, 299)(203, 283, 225, 305)(206, 286, 227, 307)(210, 290, 228, 308)(211, 291, 231, 311)(212, 292, 230, 310)(213, 293, 215, 295)(214, 294, 229, 309)(218, 298, 237, 317)(222, 302, 236, 316)(223, 303, 235, 315)(224, 304, 238, 318)(226, 306, 234, 314)(232, 312, 239, 319)(233, 313, 240, 320)
	L = (1, 164)(2, 167)(3, 170)(4, 173)(5, 161)(6, 177)(7, 180)(8, 162)(9, 178)(10, 185)(11, 163)(12, 188)(13, 190)(14, 191)(15, 165)(16, 171)(17, 195)(18, 166)(19, 198)(20, 200)(21, 201)(22, 168)(23, 169)(24, 205)(25, 207)(26, 208)(27, 209)(28, 174)(29, 172)(30, 213)(31, 204)(32, 175)(33, 176)(34, 217)(35, 219)(36, 220)(37, 221)(38, 181)(39, 179)(40, 225)(41, 216)(42, 182)(43, 183)(44, 227)(45, 186)(46, 184)(47, 215)(48, 187)(49, 230)(50, 233)(51, 235)(52, 189)(53, 192)(54, 234)(55, 193)(56, 237)(57, 196)(58, 194)(59, 203)(60, 197)(61, 238)(62, 232)(63, 231)(64, 199)(65, 202)(66, 229)(67, 212)(68, 226)(69, 222)(70, 206)(71, 240)(72, 223)(73, 211)(74, 210)(75, 239)(76, 214)(77, 224)(78, 218)(79, 236)(80, 228)(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, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1553
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1552 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y3)^2, (R * Y1)^2, Y3^-3 * Y1^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 81, 2, 82, 7, 87, 16, 96, 4, 84, 9, 89, 6, 86, 10, 90, 15, 95, 5, 85)(3, 83, 11, 91, 23, 103, 27, 107, 12, 92, 25, 105, 14, 94, 26, 106, 18, 98, 13, 93)(8, 88, 19, 99, 17, 97, 30, 110, 20, 100, 32, 112, 22, 102, 33, 113, 29, 109, 21, 101)(24, 104, 35, 115, 28, 108, 40, 120, 36, 116, 48, 128, 38, 118, 49, 129, 39, 119, 37, 117)(31, 111, 42, 122, 34, 114, 46, 126, 43, 123, 54, 134, 45, 125, 52, 132, 41, 121, 44, 124)(47, 127, 57, 137, 50, 130, 61, 141, 58, 138, 70, 150, 60, 140, 62, 142, 51, 131, 59, 139)(53, 133, 64, 144, 55, 135, 67, 147, 63, 143, 74, 154, 66, 146, 68, 148, 56, 136, 65, 145)(69, 149, 75, 155, 71, 151, 76, 156, 73, 153, 78, 158, 79, 159, 80, 160, 72, 152, 77, 157)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 177, 257)(166, 246, 172, 252)(167, 247, 178, 258)(169, 249, 182, 262)(170, 250, 180, 260)(171, 251, 184, 264)(173, 253, 188, 268)(175, 255, 183, 263)(176, 256, 189, 269)(179, 259, 191, 271)(181, 261, 194, 274)(185, 265, 198, 278)(186, 266, 196, 276)(187, 267, 199, 279)(190, 270, 201, 281)(192, 272, 205, 285)(193, 273, 203, 283)(195, 275, 207, 287)(197, 277, 210, 290)(200, 280, 211, 291)(202, 282, 213, 293)(204, 284, 215, 295)(206, 286, 216, 296)(208, 288, 220, 300)(209, 289, 218, 298)(212, 292, 223, 303)(214, 294, 226, 306)(217, 297, 229, 309)(219, 299, 231, 311)(221, 301, 232, 312)(222, 302, 233, 313)(224, 304, 235, 315)(225, 305, 236, 316)(227, 307, 237, 317)(228, 308, 238, 318)(230, 310, 239, 319)(234, 314, 240, 320)
	L = (1, 164)(2, 169)(3, 172)(4, 175)(5, 176)(6, 161)(7, 166)(8, 180)(9, 165)(10, 162)(11, 185)(12, 178)(13, 187)(14, 163)(15, 167)(16, 170)(17, 182)(18, 183)(19, 192)(20, 189)(21, 190)(22, 168)(23, 174)(24, 196)(25, 173)(26, 171)(27, 186)(28, 198)(29, 177)(30, 193)(31, 203)(32, 181)(33, 179)(34, 205)(35, 208)(36, 199)(37, 200)(38, 184)(39, 188)(40, 209)(41, 194)(42, 214)(43, 201)(44, 206)(45, 191)(46, 212)(47, 218)(48, 197)(49, 195)(50, 220)(51, 210)(52, 202)(53, 223)(54, 204)(55, 226)(56, 215)(57, 230)(58, 211)(59, 221)(60, 207)(61, 222)(62, 217)(63, 216)(64, 234)(65, 227)(66, 213)(67, 228)(68, 224)(69, 233)(70, 219)(71, 239)(72, 231)(73, 232)(74, 225)(75, 238)(76, 240)(77, 236)(78, 237)(79, 229)(80, 235)(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 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1550
Graph:: bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1553 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = (C5 x D8) : C2 (small group id <80, 15>)
Aut   = D16 x D10 (small group id <160, 131>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (R * Y3^-1)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, Y2 * Y1^-1 * R * Y2 * R * Y1^-1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y3^8, Y1^2 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1, Y1^4 * Y3 * Y1^-1 * Y3^-2 * Y2, Y1^3 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 21, 101, 45, 125, 66, 146, 75, 155, 43, 123, 19, 99, 5, 85)(3, 83, 11, 91, 31, 111, 59, 139, 58, 138, 40, 120, 71, 151, 50, 130, 22, 102, 13, 93)(4, 84, 15, 95, 37, 117, 67, 147, 65, 145, 36, 116, 64, 144, 48, 128, 23, 103, 10, 90)(6, 86, 18, 98, 42, 122, 74, 154, 56, 136, 77, 157, 69, 149, 47, 127, 24, 104, 9, 89)(8, 88, 25, 105, 17, 97, 41, 121, 73, 153, 57, 137, 44, 124, 62, 142, 46, 126, 27, 107)(12, 92, 35, 115, 49, 129, 68, 148, 39, 119, 16, 96, 30, 110, 52, 132, 60, 140, 34, 114)(14, 94, 28, 108, 51, 131, 76, 156, 80, 160, 72, 152, 78, 158, 79, 159, 61, 141, 33, 113)(20, 100, 29, 109, 53, 133, 70, 150, 38, 118, 54, 134, 26, 106, 55, 135, 63, 143, 32, 112)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 177, 257)(166, 246, 172, 252)(167, 247, 182, 262)(169, 249, 188, 268)(170, 250, 186, 266)(171, 251, 192, 272)(173, 253, 189, 269)(175, 255, 198, 278)(176, 256, 185, 265)(178, 258, 193, 273)(179, 259, 191, 271)(180, 260, 196, 276)(181, 261, 206, 286)(183, 263, 211, 291)(184, 264, 209, 289)(187, 267, 212, 292)(190, 270, 216, 296)(194, 274, 222, 302)(195, 275, 217, 297)(197, 277, 221, 301)(199, 279, 229, 309)(200, 280, 214, 294)(201, 281, 228, 308)(202, 282, 220, 300)(203, 283, 233, 313)(204, 284, 226, 306)(205, 285, 231, 311)(207, 287, 236, 316)(208, 288, 223, 303)(210, 290, 230, 310)(213, 293, 227, 307)(215, 295, 219, 299)(218, 298, 235, 315)(224, 304, 240, 320)(225, 305, 238, 318)(232, 312, 237, 317)(234, 314, 239, 319)
	L = (1, 164)(2, 169)(3, 172)(4, 176)(5, 178)(6, 161)(7, 183)(8, 186)(9, 189)(10, 162)(11, 193)(12, 196)(13, 188)(14, 163)(15, 165)(16, 200)(17, 198)(18, 192)(19, 197)(20, 166)(21, 207)(22, 209)(23, 212)(24, 167)(25, 174)(26, 216)(27, 211)(28, 168)(29, 217)(30, 170)(31, 220)(32, 222)(33, 177)(34, 171)(35, 173)(36, 226)(37, 228)(38, 229)(39, 175)(40, 232)(41, 221)(42, 179)(43, 234)(44, 180)(45, 224)(46, 223)(47, 230)(48, 181)(49, 227)(50, 236)(51, 182)(52, 219)(53, 184)(54, 185)(55, 187)(56, 235)(57, 238)(58, 190)(59, 239)(60, 208)(61, 191)(62, 240)(63, 202)(64, 194)(65, 195)(66, 237)(67, 203)(68, 210)(69, 205)(70, 201)(71, 199)(72, 204)(73, 213)(74, 215)(75, 225)(76, 206)(77, 214)(78, 218)(79, 233)(80, 231)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1551
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1554 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y1 * Y2)^4, (Y3 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 15, 95)(11, 91, 20, 100)(13, 93, 18, 98)(14, 94, 21, 101)(16, 96, 19, 99)(17, 97, 27, 107)(22, 102, 32, 112)(23, 103, 29, 109)(24, 104, 28, 108)(25, 105, 34, 114)(26, 106, 35, 115)(30, 110, 38, 118)(31, 111, 39, 119)(33, 113, 41, 121)(36, 116, 44, 124)(37, 117, 45, 125)(40, 120, 48, 128)(42, 122, 50, 130)(43, 123, 51, 131)(46, 126, 54, 134)(47, 127, 55, 135)(49, 129, 57, 137)(52, 132, 60, 140)(53, 133, 61, 141)(56, 136, 64, 144)(58, 138, 66, 146)(59, 139, 67, 147)(62, 142, 70, 150)(63, 143, 71, 151)(65, 145, 73, 153)(68, 148, 72, 152)(69, 149, 76, 156)(74, 154, 78, 158)(75, 155, 77, 157)(79, 159, 80, 160)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 168, 248)(166, 246, 171, 251)(167, 247, 173, 253)(169, 249, 176, 256)(170, 250, 178, 258)(172, 252, 181, 261)(174, 254, 183, 263)(175, 255, 184, 264)(177, 257, 186, 266)(179, 259, 188, 268)(180, 260, 189, 269)(182, 262, 191, 271)(185, 265, 193, 273)(187, 267, 194, 274)(190, 270, 197, 277)(192, 272, 198, 278)(195, 275, 201, 281)(196, 276, 202, 282)(199, 279, 205, 285)(200, 280, 206, 286)(203, 283, 209, 289)(204, 284, 211, 291)(207, 287, 213, 293)(208, 288, 215, 295)(210, 290, 217, 297)(212, 292, 219, 299)(214, 294, 221, 301)(216, 296, 223, 303)(218, 298, 225, 305)(220, 300, 226, 306)(222, 302, 229, 309)(224, 304, 230, 310)(227, 307, 233, 313)(228, 308, 234, 314)(231, 311, 236, 316)(232, 312, 237, 317)(235, 315, 239, 319)(238, 318, 240, 320)
	L = (1, 164)(2, 166)(3, 168)(4, 161)(5, 171)(6, 162)(7, 174)(8, 163)(9, 177)(10, 179)(11, 165)(12, 182)(13, 183)(14, 167)(15, 185)(16, 186)(17, 169)(18, 188)(19, 170)(20, 190)(21, 191)(22, 172)(23, 173)(24, 193)(25, 175)(26, 176)(27, 196)(28, 178)(29, 197)(30, 180)(31, 181)(32, 200)(33, 184)(34, 202)(35, 203)(36, 187)(37, 189)(38, 206)(39, 207)(40, 192)(41, 209)(42, 194)(43, 195)(44, 212)(45, 213)(46, 198)(47, 199)(48, 216)(49, 201)(50, 218)(51, 219)(52, 204)(53, 205)(54, 222)(55, 223)(56, 208)(57, 225)(58, 210)(59, 211)(60, 228)(61, 229)(62, 214)(63, 215)(64, 232)(65, 217)(66, 234)(67, 235)(68, 220)(69, 221)(70, 237)(71, 238)(72, 224)(73, 239)(74, 226)(75, 227)(76, 240)(77, 230)(78, 231)(79, 233)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1559
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1555 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (Y3^-1 * Y1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y2 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 9, 89)(4, 84, 12, 92)(5, 85, 14, 94)(6, 86, 15, 95)(7, 87, 18, 98)(8, 88, 20, 100)(10, 90, 21, 101)(11, 91, 22, 102)(13, 93, 19, 99)(16, 96, 25, 105)(17, 97, 26, 106)(23, 103, 31, 111)(24, 104, 32, 112)(27, 107, 35, 115)(28, 108, 36, 116)(29, 109, 37, 117)(30, 110, 38, 118)(33, 113, 41, 121)(34, 114, 42, 122)(39, 119, 47, 127)(40, 120, 48, 128)(43, 123, 51, 131)(44, 124, 52, 132)(45, 125, 53, 133)(46, 126, 54, 134)(49, 129, 57, 137)(50, 130, 58, 138)(55, 135, 63, 143)(56, 136, 64, 144)(59, 139, 67, 147)(60, 140, 68, 148)(61, 141, 69, 149)(62, 142, 70, 150)(65, 145, 73, 153)(66, 146, 74, 154)(71, 151, 76, 156)(72, 152, 75, 155)(77, 157, 79, 159)(78, 158, 80, 160)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 171, 251)(165, 245, 170, 250)(167, 247, 177, 257)(168, 248, 176, 256)(169, 249, 179, 259)(172, 252, 181, 261)(173, 253, 175, 255)(174, 254, 182, 262)(178, 258, 185, 265)(180, 260, 186, 266)(183, 263, 190, 270)(184, 264, 189, 269)(187, 267, 194, 274)(188, 268, 193, 273)(191, 271, 197, 277)(192, 272, 198, 278)(195, 275, 201, 281)(196, 276, 202, 282)(199, 279, 206, 286)(200, 280, 205, 285)(203, 283, 210, 290)(204, 284, 209, 289)(207, 287, 213, 293)(208, 288, 214, 294)(211, 291, 217, 297)(212, 292, 218, 298)(215, 295, 222, 302)(216, 296, 221, 301)(219, 299, 226, 306)(220, 300, 225, 305)(223, 303, 229, 309)(224, 304, 230, 310)(227, 307, 233, 313)(228, 308, 234, 314)(231, 311, 238, 318)(232, 312, 237, 317)(235, 315, 240, 320)(236, 316, 239, 319)
	L = (1, 164)(2, 167)(3, 170)(4, 173)(5, 161)(6, 176)(7, 179)(8, 162)(9, 177)(10, 175)(11, 163)(12, 183)(13, 165)(14, 184)(15, 171)(16, 169)(17, 166)(18, 187)(19, 168)(20, 188)(21, 189)(22, 190)(23, 174)(24, 172)(25, 193)(26, 194)(27, 180)(28, 178)(29, 182)(30, 181)(31, 199)(32, 200)(33, 186)(34, 185)(35, 203)(36, 204)(37, 205)(38, 206)(39, 192)(40, 191)(41, 209)(42, 210)(43, 196)(44, 195)(45, 198)(46, 197)(47, 215)(48, 216)(49, 202)(50, 201)(51, 219)(52, 220)(53, 221)(54, 222)(55, 208)(56, 207)(57, 225)(58, 226)(59, 212)(60, 211)(61, 214)(62, 213)(63, 231)(64, 232)(65, 218)(66, 217)(67, 235)(68, 236)(69, 237)(70, 238)(71, 224)(72, 223)(73, 239)(74, 240)(75, 228)(76, 227)(77, 230)(78, 229)(79, 234)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1560
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1556 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y3 * Y2)^2, (R * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 10, 90)(6, 86, 12, 92)(8, 88, 15, 95)(11, 91, 20, 100)(13, 93, 23, 103)(14, 94, 25, 105)(16, 96, 28, 108)(17, 97, 30, 110)(18, 98, 31, 111)(19, 99, 33, 113)(21, 101, 36, 116)(22, 102, 38, 118)(24, 104, 34, 114)(26, 106, 32, 112)(27, 107, 37, 117)(29, 109, 35, 115)(39, 119, 49, 129)(40, 120, 50, 130)(41, 121, 51, 131)(42, 122, 52, 132)(43, 123, 48, 128)(44, 124, 53, 133)(45, 125, 54, 134)(46, 126, 55, 135)(47, 127, 56, 136)(57, 137, 65, 145)(58, 138, 66, 146)(59, 139, 67, 147)(60, 140, 68, 148)(61, 141, 69, 149)(62, 142, 70, 150)(63, 143, 71, 151)(64, 144, 72, 152)(73, 153, 80, 160)(74, 154, 78, 158)(75, 155, 79, 159)(76, 156, 77, 157)(161, 241, 163, 243)(162, 242, 165, 245)(164, 244, 168, 248)(166, 246, 171, 251)(167, 247, 173, 253)(169, 249, 176, 256)(170, 250, 178, 258)(172, 252, 181, 261)(174, 254, 184, 264)(175, 255, 186, 266)(177, 257, 189, 269)(179, 259, 192, 272)(180, 260, 194, 274)(182, 262, 197, 277)(183, 263, 199, 279)(185, 265, 201, 281)(187, 267, 203, 283)(188, 268, 200, 280)(190, 270, 202, 282)(191, 271, 204, 284)(193, 273, 206, 286)(195, 275, 208, 288)(196, 276, 205, 285)(198, 278, 207, 287)(209, 289, 217, 297)(210, 290, 219, 299)(211, 291, 218, 298)(212, 292, 220, 300)(213, 293, 221, 301)(214, 294, 223, 303)(215, 295, 222, 302)(216, 296, 224, 304)(225, 305, 233, 313)(226, 306, 235, 315)(227, 307, 234, 314)(228, 308, 236, 316)(229, 309, 237, 317)(230, 310, 239, 319)(231, 311, 238, 318)(232, 312, 240, 320)
	L = (1, 164)(2, 166)(3, 168)(4, 161)(5, 171)(6, 162)(7, 174)(8, 163)(9, 177)(10, 179)(11, 165)(12, 182)(13, 184)(14, 167)(15, 187)(16, 189)(17, 169)(18, 192)(19, 170)(20, 195)(21, 197)(22, 172)(23, 200)(24, 173)(25, 202)(26, 203)(27, 175)(28, 199)(29, 176)(30, 201)(31, 205)(32, 178)(33, 207)(34, 208)(35, 180)(36, 204)(37, 181)(38, 206)(39, 188)(40, 183)(41, 190)(42, 185)(43, 186)(44, 196)(45, 191)(46, 198)(47, 193)(48, 194)(49, 218)(50, 220)(51, 217)(52, 219)(53, 222)(54, 224)(55, 221)(56, 223)(57, 211)(58, 209)(59, 212)(60, 210)(61, 215)(62, 213)(63, 216)(64, 214)(65, 234)(66, 236)(67, 233)(68, 235)(69, 238)(70, 240)(71, 237)(72, 239)(73, 227)(74, 225)(75, 228)(76, 226)(77, 231)(78, 229)(79, 232)(80, 230)(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, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1558
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1557 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y1 * Y2)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y1 * Y3^2 * Y2)^2, (Y3^-1 * Y1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82)(3, 83, 6, 86)(4, 84, 11, 91)(5, 85, 13, 93)(7, 87, 16, 96)(8, 88, 18, 98)(9, 89, 19, 99)(10, 90, 21, 101)(12, 92, 17, 97)(14, 94, 24, 104)(15, 95, 26, 106)(20, 100, 25, 105)(22, 102, 31, 111)(23, 103, 32, 112)(27, 107, 35, 115)(28, 108, 36, 116)(29, 109, 37, 117)(30, 110, 38, 118)(33, 113, 41, 121)(34, 114, 42, 122)(39, 119, 47, 127)(40, 120, 48, 128)(43, 123, 51, 131)(44, 124, 52, 132)(45, 125, 53, 133)(46, 126, 54, 134)(49, 129, 57, 137)(50, 130, 58, 138)(55, 135, 63, 143)(56, 136, 64, 144)(59, 139, 67, 147)(60, 140, 68, 148)(61, 141, 69, 149)(62, 142, 70, 150)(65, 145, 73, 153)(66, 146, 74, 154)(71, 151, 76, 156)(72, 152, 75, 155)(77, 157, 80, 160)(78, 158, 79, 159)(161, 241, 163, 243)(162, 242, 166, 246)(164, 244, 170, 250)(165, 245, 169, 249)(167, 247, 175, 255)(168, 248, 174, 254)(171, 251, 181, 261)(172, 252, 180, 260)(173, 253, 179, 259)(176, 256, 186, 266)(177, 257, 185, 265)(178, 258, 184, 264)(182, 262, 189, 269)(183, 263, 190, 270)(187, 267, 193, 273)(188, 268, 194, 274)(191, 271, 197, 277)(192, 272, 198, 278)(195, 275, 201, 281)(196, 276, 202, 282)(199, 279, 206, 286)(200, 280, 205, 285)(203, 283, 210, 290)(204, 284, 209, 289)(207, 287, 214, 294)(208, 288, 213, 293)(211, 291, 218, 298)(212, 292, 217, 297)(215, 295, 221, 301)(216, 296, 222, 302)(219, 299, 225, 305)(220, 300, 226, 306)(223, 303, 229, 309)(224, 304, 230, 310)(227, 307, 233, 313)(228, 308, 234, 314)(231, 311, 238, 318)(232, 312, 237, 317)(235, 315, 240, 320)(236, 316, 239, 319)
	L = (1, 164)(2, 167)(3, 169)(4, 172)(5, 161)(6, 174)(7, 177)(8, 162)(9, 180)(10, 163)(11, 182)(12, 165)(13, 183)(14, 185)(15, 166)(16, 187)(17, 168)(18, 188)(19, 189)(20, 170)(21, 190)(22, 173)(23, 171)(24, 193)(25, 175)(26, 194)(27, 178)(28, 176)(29, 181)(30, 179)(31, 199)(32, 200)(33, 186)(34, 184)(35, 203)(36, 204)(37, 205)(38, 206)(39, 192)(40, 191)(41, 209)(42, 210)(43, 196)(44, 195)(45, 198)(46, 197)(47, 215)(48, 216)(49, 202)(50, 201)(51, 219)(52, 220)(53, 221)(54, 222)(55, 208)(56, 207)(57, 225)(58, 226)(59, 212)(60, 211)(61, 214)(62, 213)(63, 231)(64, 232)(65, 218)(66, 217)(67, 235)(68, 236)(69, 237)(70, 238)(71, 224)(72, 223)(73, 239)(74, 240)(75, 228)(76, 227)(77, 230)(78, 229)(79, 234)(80, 233)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1561
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1558 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^2 * Y2, (Y1 * Y2 * Y1^-1 * Y2)^2, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 15, 95, 30, 110, 48, 128, 47, 127, 29, 109, 14, 94, 5, 85)(3, 83, 9, 89, 16, 96, 33, 113, 49, 129, 66, 146, 60, 140, 43, 123, 25, 105, 11, 91)(4, 84, 12, 92, 26, 106, 44, 124, 61, 141, 65, 145, 50, 130, 32, 112, 17, 97, 8, 88)(7, 87, 18, 98, 31, 111, 51, 131, 64, 144, 63, 143, 46, 126, 28, 108, 13, 93, 20, 100)(10, 90, 23, 103, 40, 120, 57, 137, 71, 151, 77, 157, 67, 147, 54, 134, 34, 114, 22, 102)(19, 99, 37, 117, 27, 107, 45, 125, 62, 142, 74, 154, 75, 155, 69, 149, 52, 132, 36, 116)(21, 101, 35, 115, 53, 133, 68, 148, 76, 156, 73, 153, 59, 139, 42, 122, 24, 104, 38, 118)(39, 119, 56, 136, 41, 121, 58, 138, 72, 152, 79, 159, 80, 160, 78, 158, 70, 150, 55, 135)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 173, 253)(166, 246, 176, 256)(168, 248, 179, 259)(169, 249, 181, 261)(171, 251, 184, 264)(172, 252, 187, 267)(174, 254, 185, 265)(175, 255, 191, 271)(177, 257, 194, 274)(178, 258, 195, 275)(180, 260, 198, 278)(182, 262, 199, 279)(183, 263, 201, 281)(186, 266, 200, 280)(188, 268, 202, 282)(189, 269, 206, 286)(190, 270, 209, 289)(192, 272, 212, 292)(193, 273, 213, 293)(196, 276, 215, 295)(197, 277, 216, 296)(203, 283, 219, 299)(204, 284, 222, 302)(205, 285, 218, 298)(207, 287, 220, 300)(208, 288, 224, 304)(210, 290, 227, 307)(211, 291, 228, 308)(214, 294, 230, 310)(217, 297, 232, 312)(221, 301, 231, 311)(223, 303, 233, 313)(225, 305, 235, 315)(226, 306, 236, 316)(229, 309, 238, 318)(234, 314, 239, 319)(237, 317, 240, 320)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 172)(6, 177)(7, 179)(8, 162)(9, 182)(10, 163)(11, 183)(12, 165)(13, 187)(14, 186)(15, 192)(16, 194)(17, 166)(18, 196)(19, 167)(20, 197)(21, 199)(22, 169)(23, 171)(24, 201)(25, 200)(26, 174)(27, 173)(28, 205)(29, 204)(30, 210)(31, 212)(32, 175)(33, 214)(34, 176)(35, 215)(36, 178)(37, 180)(38, 216)(39, 181)(40, 185)(41, 184)(42, 218)(43, 217)(44, 189)(45, 188)(46, 222)(47, 221)(48, 225)(49, 227)(50, 190)(51, 229)(52, 191)(53, 230)(54, 193)(55, 195)(56, 198)(57, 203)(58, 202)(59, 232)(60, 231)(61, 207)(62, 206)(63, 234)(64, 235)(65, 208)(66, 237)(67, 209)(68, 238)(69, 211)(70, 213)(71, 220)(72, 219)(73, 239)(74, 223)(75, 224)(76, 240)(77, 226)(78, 228)(79, 233)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1556
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1559 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y3)^2, (Y2 * Y1^-2)^2, (Y2 * Y1)^4, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 15, 95, 30, 110, 48, 128, 47, 127, 29, 109, 14, 94, 5, 85)(3, 83, 9, 89, 21, 101, 39, 119, 57, 137, 67, 147, 49, 129, 34, 114, 16, 96, 11, 91)(4, 84, 12, 92, 26, 106, 44, 124, 61, 141, 65, 145, 50, 130, 32, 112, 17, 97, 8, 88)(7, 87, 18, 98, 13, 93, 28, 108, 46, 126, 63, 143, 64, 144, 52, 132, 31, 111, 20, 100)(10, 90, 24, 104, 33, 113, 53, 133, 66, 146, 76, 156, 71, 151, 59, 139, 40, 120, 23, 103)(19, 99, 37, 117, 51, 131, 68, 148, 75, 155, 74, 154, 62, 142, 45, 125, 27, 107, 36, 116)(22, 102, 35, 115, 25, 105, 38, 118, 54, 134, 69, 149, 77, 157, 73, 153, 58, 138, 42, 122)(41, 121, 60, 140, 72, 152, 79, 159, 80, 160, 78, 158, 70, 150, 56, 136, 43, 123, 55, 135)(161, 241, 163, 243)(162, 242, 167, 247)(164, 244, 170, 250)(165, 245, 173, 253)(166, 246, 176, 256)(168, 248, 179, 259)(169, 249, 182, 262)(171, 251, 185, 265)(172, 252, 187, 267)(174, 254, 181, 261)(175, 255, 191, 271)(177, 257, 193, 273)(178, 258, 195, 275)(180, 260, 198, 278)(183, 263, 201, 281)(184, 264, 203, 283)(186, 266, 200, 280)(188, 268, 202, 282)(189, 269, 206, 286)(190, 270, 209, 289)(192, 272, 211, 291)(194, 274, 214, 294)(196, 276, 215, 295)(197, 277, 216, 296)(199, 279, 218, 298)(204, 284, 222, 302)(205, 285, 220, 300)(207, 287, 217, 297)(208, 288, 224, 304)(210, 290, 226, 306)(212, 292, 229, 309)(213, 293, 230, 310)(219, 299, 232, 312)(221, 301, 231, 311)(223, 303, 233, 313)(225, 305, 235, 315)(227, 307, 237, 317)(228, 308, 238, 318)(234, 314, 239, 319)(236, 316, 240, 320)
	L = (1, 164)(2, 168)(3, 170)(4, 161)(5, 172)(6, 177)(7, 179)(8, 162)(9, 183)(10, 163)(11, 184)(12, 165)(13, 187)(14, 186)(15, 192)(16, 193)(17, 166)(18, 196)(19, 167)(20, 197)(21, 200)(22, 201)(23, 169)(24, 171)(25, 203)(26, 174)(27, 173)(28, 205)(29, 204)(30, 210)(31, 211)(32, 175)(33, 176)(34, 213)(35, 215)(36, 178)(37, 180)(38, 216)(39, 219)(40, 181)(41, 182)(42, 220)(43, 185)(44, 189)(45, 188)(46, 222)(47, 221)(48, 225)(49, 226)(50, 190)(51, 191)(52, 228)(53, 194)(54, 230)(55, 195)(56, 198)(57, 231)(58, 232)(59, 199)(60, 202)(61, 207)(62, 206)(63, 234)(64, 235)(65, 208)(66, 209)(67, 236)(68, 212)(69, 238)(70, 214)(71, 217)(72, 218)(73, 239)(74, 223)(75, 224)(76, 227)(77, 240)(78, 229)(79, 233)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1554
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1560 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = C2 x ((C10 x C2) : C2) (small group id <80, 44>)
Aut   = C2 x D8 x D10 (small group id <160, 217>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y3^4, Y1^-1 * Y3^-1 * Y2 * Y3 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 20, 100, 37, 117, 53, 133, 52, 132, 36, 116, 19, 99, 5, 85)(3, 83, 11, 91, 29, 109, 45, 125, 61, 141, 72, 152, 54, 134, 42, 122, 21, 101, 13, 93)(4, 84, 15, 95, 33, 113, 49, 129, 65, 145, 70, 150, 55, 135, 40, 120, 22, 102, 10, 90)(6, 86, 18, 98, 35, 115, 51, 131, 67, 147, 69, 149, 56, 136, 39, 119, 23, 103, 9, 89)(8, 88, 24, 104, 17, 97, 34, 114, 50, 130, 66, 146, 68, 148, 58, 138, 38, 118, 26, 106)(12, 92, 25, 105, 41, 121, 57, 137, 71, 151, 78, 158, 75, 155, 64, 144, 46, 126, 32, 112)(14, 94, 27, 107, 43, 123, 59, 139, 73, 153, 79, 159, 76, 156, 63, 143, 47, 127, 31, 111)(16, 96, 28, 108, 44, 124, 60, 140, 74, 154, 80, 160, 77, 157, 62, 142, 48, 128, 30, 110)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 174, 254)(165, 245, 177, 257)(166, 246, 172, 252)(167, 247, 181, 261)(169, 249, 187, 267)(170, 250, 185, 265)(171, 251, 190, 270)(173, 253, 188, 268)(175, 255, 192, 272)(176, 256, 184, 264)(178, 258, 191, 271)(179, 259, 189, 269)(180, 260, 198, 278)(182, 262, 203, 283)(183, 263, 201, 281)(186, 266, 204, 284)(193, 273, 207, 287)(194, 274, 208, 288)(195, 275, 206, 286)(196, 276, 210, 290)(197, 277, 214, 294)(199, 279, 219, 299)(200, 280, 217, 297)(202, 282, 220, 300)(205, 285, 222, 302)(209, 289, 224, 304)(211, 291, 223, 303)(212, 292, 221, 301)(213, 293, 228, 308)(215, 295, 233, 313)(216, 296, 231, 311)(218, 298, 234, 314)(225, 305, 236, 316)(226, 306, 237, 317)(227, 307, 235, 315)(229, 309, 239, 319)(230, 310, 238, 318)(232, 312, 240, 320)
	L = (1, 164)(2, 169)(3, 172)(4, 176)(5, 178)(6, 161)(7, 182)(8, 185)(9, 188)(10, 162)(11, 191)(12, 184)(13, 187)(14, 163)(15, 165)(16, 166)(17, 192)(18, 190)(19, 193)(20, 199)(21, 201)(22, 204)(23, 167)(24, 174)(25, 173)(26, 203)(27, 168)(28, 170)(29, 206)(30, 175)(31, 177)(32, 171)(33, 208)(34, 207)(35, 179)(36, 211)(37, 215)(38, 217)(39, 220)(40, 180)(41, 186)(42, 219)(43, 181)(44, 183)(45, 223)(46, 194)(47, 189)(48, 195)(49, 196)(50, 224)(51, 222)(52, 225)(53, 229)(54, 231)(55, 234)(56, 197)(57, 202)(58, 233)(59, 198)(60, 200)(61, 235)(62, 209)(63, 210)(64, 205)(65, 237)(66, 236)(67, 212)(68, 238)(69, 240)(70, 213)(71, 218)(72, 239)(73, 214)(74, 216)(75, 226)(76, 221)(77, 227)(78, 232)(79, 228)(80, 230)(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 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1555
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1561 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 10})
Quotient :: dipole
Aut^+ = D8 x D10 (small group id <80, 39>)
Aut   = (D8 x D10) : C2 (small group id <160, 224>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (Y1^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 7, 87, 18, 98, 33, 113, 49, 129, 48, 128, 32, 112, 17, 97, 5, 85)(3, 83, 11, 91, 25, 105, 41, 121, 57, 137, 64, 144, 50, 130, 34, 114, 19, 99, 8, 88)(4, 84, 14, 94, 29, 109, 45, 125, 61, 141, 66, 146, 51, 131, 36, 116, 20, 100, 10, 90)(6, 86, 16, 96, 31, 111, 47, 127, 63, 143, 65, 145, 52, 132, 35, 115, 21, 101, 9, 89)(12, 92, 23, 103, 37, 117, 54, 134, 67, 147, 76, 156, 71, 151, 59, 139, 42, 122, 27, 107)(13, 93, 22, 102, 38, 118, 53, 133, 68, 148, 75, 155, 72, 152, 58, 138, 43, 123, 26, 106)(15, 95, 24, 104, 39, 119, 55, 135, 69, 149, 77, 157, 74, 154, 62, 142, 46, 126, 30, 110)(28, 108, 44, 124, 60, 140, 73, 153, 79, 159, 80, 160, 78, 158, 70, 150, 56, 136, 40, 120)(161, 241, 163, 243)(162, 242, 168, 248)(164, 244, 173, 253)(165, 245, 171, 251)(166, 246, 172, 252)(167, 247, 179, 259)(169, 249, 183, 263)(170, 250, 182, 262)(174, 254, 186, 266)(175, 255, 188, 268)(176, 256, 187, 267)(177, 257, 185, 265)(178, 258, 194, 274)(180, 260, 198, 278)(181, 261, 197, 277)(184, 264, 200, 280)(189, 269, 203, 283)(190, 270, 204, 284)(191, 271, 202, 282)(192, 272, 201, 281)(193, 273, 210, 290)(195, 275, 214, 294)(196, 276, 213, 293)(199, 279, 216, 296)(205, 285, 218, 298)(206, 286, 220, 300)(207, 287, 219, 299)(208, 288, 217, 297)(209, 289, 224, 304)(211, 291, 228, 308)(212, 292, 227, 307)(215, 295, 230, 310)(221, 301, 232, 312)(222, 302, 233, 313)(223, 303, 231, 311)(225, 305, 236, 316)(226, 306, 235, 315)(229, 309, 238, 318)(234, 314, 239, 319)(237, 317, 240, 320)
	L = (1, 164)(2, 169)(3, 172)(4, 175)(5, 176)(6, 161)(7, 180)(8, 182)(9, 184)(10, 162)(11, 186)(12, 188)(13, 163)(14, 165)(15, 166)(16, 190)(17, 189)(18, 195)(19, 197)(20, 199)(21, 167)(22, 200)(23, 168)(24, 170)(25, 202)(26, 204)(27, 171)(28, 173)(29, 206)(30, 174)(31, 177)(32, 207)(33, 211)(34, 213)(35, 215)(36, 178)(37, 216)(38, 179)(39, 181)(40, 183)(41, 218)(42, 220)(43, 185)(44, 187)(45, 192)(46, 191)(47, 222)(48, 221)(49, 225)(50, 227)(51, 229)(52, 193)(53, 230)(54, 194)(55, 196)(56, 198)(57, 231)(58, 233)(59, 201)(60, 203)(61, 234)(62, 205)(63, 208)(64, 235)(65, 237)(66, 209)(67, 238)(68, 210)(69, 212)(70, 214)(71, 239)(72, 217)(73, 219)(74, 223)(75, 240)(76, 224)(77, 226)(78, 228)(79, 232)(80, 236)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1557
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1562 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 19>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2^-1 * T1^2 * T2 * T1, T2 * T1^-1 * T2^2 * T1 * T2, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1, T2^10 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 46, 62, 52, 34, 16, 5)(2, 7, 20, 39, 56, 71, 60, 44, 24, 8)(4, 12, 31, 49, 65, 77, 63, 48, 28, 13)(6, 17, 35, 53, 68, 78, 69, 54, 36, 18)(9, 25, 14, 32, 50, 66, 75, 61, 45, 26)(11, 29, 15, 33, 51, 67, 76, 64, 47, 30)(19, 37, 22, 42, 58, 73, 79, 70, 55, 38)(21, 40, 23, 43, 59, 74, 80, 72, 57, 41)(81, 82, 86, 84)(83, 89, 97, 91)(85, 94, 98, 95)(87, 99, 92, 101)(88, 102, 93, 103)(90, 104, 115, 108)(96, 100, 116, 111)(105, 117, 109, 120)(106, 122, 110, 123)(107, 125, 133, 127)(112, 118, 113, 121)(114, 130, 134, 131)(119, 135, 129, 137)(124, 138, 128, 139)(126, 140, 148, 143)(132, 136, 149, 145)(141, 153, 144, 154)(142, 155, 158, 156)(146, 150, 147, 152)(151, 159, 157, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: reflexible
Dual of E17.1563
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.1563 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 19>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2 * T1^-2 * T2^-1 * T1^-2, T2^-2 * T1 * T2^-2 * T1^-1, (T2 * T1^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 5, 85)(2, 82, 7, 87, 19, 99, 8, 88)(4, 84, 12, 92, 25, 105, 13, 93)(6, 86, 16, 96, 28, 108, 17, 97)(9, 89, 23, 103, 14, 94, 24, 104)(11, 91, 26, 106, 15, 95, 27, 107)(18, 98, 29, 109, 21, 101, 30, 110)(20, 100, 31, 111, 22, 102, 32, 112)(33, 113, 41, 121, 35, 115, 42, 122)(34, 114, 43, 123, 36, 116, 44, 124)(37, 117, 45, 125, 39, 119, 46, 126)(38, 118, 47, 127, 40, 120, 48, 128)(49, 129, 57, 137, 51, 131, 58, 138)(50, 130, 59, 139, 52, 132, 60, 140)(53, 133, 61, 141, 55, 135, 62, 142)(54, 134, 63, 143, 56, 136, 64, 144)(65, 145, 73, 153, 67, 147, 74, 154)(66, 146, 75, 155, 68, 148, 76, 156)(69, 149, 77, 157, 71, 151, 78, 158)(70, 150, 79, 159, 72, 152, 80, 160)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 98)(8, 101)(9, 96)(10, 99)(11, 83)(12, 100)(13, 102)(14, 97)(15, 85)(16, 91)(17, 95)(18, 92)(19, 108)(20, 87)(21, 93)(22, 88)(23, 113)(24, 115)(25, 90)(26, 114)(27, 116)(28, 105)(29, 117)(30, 119)(31, 118)(32, 120)(33, 106)(34, 103)(35, 107)(36, 104)(37, 111)(38, 109)(39, 112)(40, 110)(41, 129)(42, 131)(43, 130)(44, 132)(45, 133)(46, 135)(47, 134)(48, 136)(49, 123)(50, 121)(51, 124)(52, 122)(53, 127)(54, 125)(55, 128)(56, 126)(57, 145)(58, 147)(59, 146)(60, 148)(61, 149)(62, 151)(63, 150)(64, 152)(65, 139)(66, 137)(67, 140)(68, 138)(69, 143)(70, 141)(71, 144)(72, 142)(73, 160)(74, 159)(75, 158)(76, 157)(77, 154)(78, 153)(79, 156)(80, 155)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.1562
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.1564 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10})
Quotient :: dipole
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 19>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1 * Y2^-1 * Y1^2 * Y2 * Y1, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, Y2 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y2^10 ]
Map::
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 17, 97, 11, 91)(5, 85, 14, 94, 18, 98, 15, 95)(7, 87, 19, 99, 12, 92, 21, 101)(8, 88, 22, 102, 13, 93, 23, 103)(10, 90, 24, 104, 35, 115, 28, 108)(16, 96, 20, 100, 36, 116, 31, 111)(25, 105, 37, 117, 29, 109, 40, 120)(26, 106, 42, 122, 30, 110, 43, 123)(27, 107, 45, 125, 53, 133, 47, 127)(32, 112, 38, 118, 33, 113, 41, 121)(34, 114, 50, 130, 54, 134, 51, 131)(39, 119, 55, 135, 49, 129, 57, 137)(44, 124, 58, 138, 48, 128, 59, 139)(46, 126, 60, 140, 68, 148, 63, 143)(52, 132, 56, 136, 69, 149, 65, 145)(61, 141, 73, 153, 64, 144, 74, 154)(62, 142, 75, 155, 78, 158, 76, 156)(66, 146, 70, 150, 67, 147, 72, 152)(71, 151, 79, 159, 77, 157, 80, 160)(161, 241, 163, 243, 170, 250, 187, 267, 206, 286, 222, 302, 212, 292, 194, 274, 176, 256, 165, 245)(162, 242, 167, 247, 180, 260, 199, 279, 216, 296, 231, 311, 220, 300, 204, 284, 184, 264, 168, 248)(164, 244, 172, 252, 191, 271, 209, 289, 225, 305, 237, 317, 223, 303, 208, 288, 188, 268, 173, 253)(166, 246, 177, 257, 195, 275, 213, 293, 228, 308, 238, 318, 229, 309, 214, 294, 196, 276, 178, 258)(169, 249, 185, 265, 174, 254, 192, 272, 210, 290, 226, 306, 235, 315, 221, 301, 205, 285, 186, 266)(171, 251, 189, 269, 175, 255, 193, 273, 211, 291, 227, 307, 236, 316, 224, 304, 207, 287, 190, 270)(179, 259, 197, 277, 182, 262, 202, 282, 218, 298, 233, 313, 239, 319, 230, 310, 215, 295, 198, 278)(181, 261, 200, 280, 183, 263, 203, 283, 219, 299, 234, 314, 240, 320, 232, 312, 217, 297, 201, 281)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 228)(54, 196)(55, 198)(56, 231)(57, 201)(58, 233)(59, 234)(60, 204)(61, 205)(62, 212)(63, 208)(64, 207)(65, 237)(66, 235)(67, 236)(68, 238)(69, 214)(70, 215)(71, 220)(72, 217)(73, 239)(74, 240)(75, 221)(76, 224)(77, 223)(78, 229)(79, 230)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 8, 2, 8, 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 E17.1565
Graph:: bipartite
	v = 28 e = 160 f = 100
	degree seq :: [ 8^20, 20^8 ]

E17.1565 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 10})
Quotient :: dipole
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 19>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 158>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, Y3^-1 * Y2^-2 * Y3 * Y2^-2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3^-1, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1, (Y3^-1 * Y1^-1)^10 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 241, 162, 242, 166, 246, 164, 244)(163, 243, 169, 249, 177, 257, 171, 251)(165, 245, 174, 254, 178, 258, 175, 255)(167, 247, 179, 259, 172, 252, 181, 261)(168, 248, 182, 262, 173, 253, 183, 263)(170, 250, 184, 264, 195, 275, 188, 268)(176, 256, 180, 260, 196, 276, 191, 271)(185, 265, 197, 277, 189, 269, 200, 280)(186, 266, 202, 282, 190, 270, 203, 283)(187, 267, 205, 285, 213, 293, 207, 287)(192, 272, 198, 278, 193, 273, 201, 281)(194, 274, 210, 290, 214, 294, 211, 291)(199, 279, 215, 295, 209, 289, 217, 297)(204, 284, 218, 298, 208, 288, 219, 299)(206, 286, 220, 300, 228, 308, 223, 303)(212, 292, 216, 296, 229, 309, 225, 305)(221, 301, 233, 313, 224, 304, 234, 314)(222, 302, 235, 315, 238, 318, 236, 316)(226, 306, 230, 310, 227, 307, 232, 312)(231, 311, 239, 319, 237, 317, 240, 320)
	L = (1, 163)(2, 167)(3, 170)(4, 172)(5, 161)(6, 177)(7, 180)(8, 162)(9, 185)(10, 187)(11, 189)(12, 191)(13, 164)(14, 192)(15, 193)(16, 165)(17, 195)(18, 166)(19, 197)(20, 199)(21, 200)(22, 202)(23, 203)(24, 168)(25, 174)(26, 169)(27, 206)(28, 173)(29, 175)(30, 171)(31, 209)(32, 210)(33, 211)(34, 176)(35, 213)(36, 178)(37, 182)(38, 179)(39, 216)(40, 183)(41, 181)(42, 218)(43, 219)(44, 184)(45, 186)(46, 222)(47, 190)(48, 188)(49, 225)(50, 226)(51, 227)(52, 194)(53, 228)(54, 196)(55, 198)(56, 231)(57, 201)(58, 233)(59, 234)(60, 204)(61, 205)(62, 212)(63, 208)(64, 207)(65, 237)(66, 235)(67, 236)(68, 238)(69, 214)(70, 215)(71, 220)(72, 217)(73, 239)(74, 240)(75, 221)(76, 224)(77, 223)(78, 229)(79, 230)(80, 232)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 8, 20 ), ( 8, 20, 8, 20, 8, 20, 8, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1564
Graph:: simple bipartite
	v = 100 e = 160 f = 28
	degree seq :: [ 2^80, 8^20 ]

E17.1566 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 1
Presentation :: [ X1^4, (X2 * X1^2)^2, (X1 * X2^-1 * X1)^2, X1^-1 * X2^4 * X1 * X2^2, X2^2 * X1 * X2^-4 * X1^-1, (X2^-1 * X1^-1)^4, X2 * X1 * X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 18, 11)(5, 14, 17, 15)(7, 19, 13, 21)(8, 22, 12, 23)(10, 27, 42, 29)(16, 38, 41, 39)(20, 45, 33, 47)(24, 54, 32, 55)(25, 44, 31, 48)(26, 51, 30, 52)(28, 60, 68, 61)(34, 43, 37, 49)(35, 50, 36, 53)(40, 57, 67, 65)(46, 72, 62, 73)(56, 69, 66, 76)(58, 71, 64, 74)(59, 70, 63, 75)(77, 79, 78, 80)(81, 83, 90, 108, 135, 154, 127, 120, 96, 85)(82, 87, 100, 126, 107, 139, 118, 136, 104, 88)(84, 92, 112, 146, 119, 143, 109, 142, 113, 93)(86, 97, 121, 147, 125, 151, 134, 148, 122, 98)(89, 105, 137, 157, 140, 115, 94, 114, 138, 106)(91, 110, 144, 117, 95, 116, 141, 158, 145, 111)(99, 123, 149, 159, 152, 131, 102, 130, 150, 124)(101, 128, 155, 133, 103, 132, 153, 160, 156, 129)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 8^4 ), ( 8^10 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 80 f = 20
	degree seq :: [ 4^20, 10^8 ]

E17.1567 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
|r| :: 1
Presentation :: [ (X2 * X1^-1)^2, X1^4, X2^4, X1 * X2 * X1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2^-1 * X1 * X2 * X1 * X2, X2^2 * X1^-2 * X2^-1 * X1^-1 * X2^-1 * X1^-1 * X2^-2 * X1^-2, X2^-1 * X1^2 * X2^-2 * X1 * X2 * X1 * X2 * X1 * X2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 2, 82, 6, 86, 4, 84)(3, 83, 9, 89, 18, 98, 8, 88)(5, 85, 11, 91, 22, 102, 13, 93)(7, 87, 16, 96, 28, 108, 15, 95)(10, 90, 21, 101, 35, 115, 20, 100)(12, 92, 14, 94, 26, 106, 24, 104)(17, 97, 31, 111, 48, 128, 30, 110)(19, 99, 33, 113, 50, 130, 32, 112)(23, 103, 39, 119, 58, 138, 38, 118)(25, 105, 37, 117, 56, 136, 41, 121)(27, 107, 44, 124, 64, 144, 43, 123)(29, 109, 46, 126, 66, 146, 45, 125)(34, 114, 53, 133, 67, 147, 52, 132)(36, 116, 55, 135, 65, 145, 54, 134)(40, 120, 42, 122, 62, 142, 60, 140)(47, 127, 69, 149, 76, 156, 68, 148)(49, 129, 71, 151, 59, 139, 70, 150)(51, 131, 73, 153, 57, 137, 72, 152)(61, 141, 75, 155, 77, 157, 63, 143)(74, 154, 78, 158, 80, 160, 79, 159)
	L = (1, 83)(2, 87)(3, 90)(4, 91)(5, 81)(6, 94)(7, 97)(8, 82)(9, 99)(10, 85)(11, 103)(12, 84)(13, 101)(14, 107)(15, 86)(16, 109)(17, 88)(18, 111)(19, 114)(20, 89)(21, 116)(22, 117)(23, 92)(24, 119)(25, 93)(26, 122)(27, 95)(28, 124)(29, 127)(30, 96)(31, 129)(32, 98)(33, 131)(34, 100)(35, 133)(36, 105)(37, 137)(38, 102)(39, 139)(40, 104)(41, 135)(42, 143)(43, 106)(44, 145)(45, 108)(46, 147)(47, 110)(48, 149)(49, 112)(50, 151)(51, 154)(52, 113)(53, 146)(54, 115)(55, 144)(56, 155)(57, 118)(58, 152)(59, 120)(60, 150)(61, 121)(62, 156)(63, 123)(64, 141)(65, 125)(66, 134)(67, 158)(68, 126)(69, 140)(70, 128)(71, 138)(72, 130)(73, 136)(74, 132)(75, 159)(76, 160)(77, 142)(78, 148)(79, 153)(80, 157)
	local type(s) :: { ( 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 20 e = 80 f = 28
	degree seq :: [ 8^20 ]

E17.1568 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 10})
Quotient :: loop
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 74>)
|r| :: 2
Presentation :: [ F^2, F * T2 * F * T1, (T2 * T1^-1)^2, T1^4, T2^4, T1^-1 * T2^-1 * T1^-1 * T2^2 * T1^-1 * T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 17, 8)(4, 11, 23, 12)(6, 14, 27, 15)(9, 19, 34, 20)(13, 21, 36, 25)(16, 29, 47, 30)(18, 31, 49, 32)(22, 37, 57, 38)(24, 39, 59, 40)(26, 42, 63, 43)(28, 44, 65, 45)(33, 51, 74, 52)(35, 53, 66, 54)(41, 55, 64, 61)(46, 67, 78, 68)(48, 69, 60, 70)(50, 71, 58, 72)(56, 75, 79, 73)(62, 76, 80, 77)(81, 82, 86, 84)(83, 89, 98, 88)(85, 91, 102, 93)(87, 96, 108, 95)(90, 101, 115, 100)(92, 94, 106, 104)(97, 111, 128, 110)(99, 113, 130, 112)(103, 119, 138, 118)(105, 117, 136, 121)(107, 124, 144, 123)(109, 126, 146, 125)(114, 133, 147, 132)(116, 135, 145, 134)(120, 122, 142, 140)(127, 149, 156, 148)(129, 151, 139, 150)(131, 153, 137, 152)(141, 155, 157, 143)(154, 158, 160, 159)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1569
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.1569 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 10})
Quotient :: edge
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 74>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, F * T1 * T2 * F * T1^-1, (T2 * T1^2)^2, (T1^-1 * T2 * T1^-1)^2, T2^4 * T1 * T2^2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1 * T1 * F * T1^-1)^2, (T2^-1 * T1^-1)^4, (T1 * T2^-2 * T1^-1 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 81, 3, 83, 10, 90, 28, 108, 55, 135, 74, 154, 47, 127, 40, 120, 16, 96, 5, 85)(2, 82, 7, 87, 20, 100, 46, 126, 27, 107, 59, 139, 38, 118, 56, 136, 24, 104, 8, 88)(4, 84, 12, 92, 32, 112, 66, 146, 39, 119, 63, 143, 29, 109, 62, 142, 33, 113, 13, 93)(6, 86, 17, 97, 41, 121, 67, 147, 45, 125, 71, 151, 54, 134, 68, 148, 42, 122, 18, 98)(9, 89, 25, 105, 57, 137, 77, 157, 60, 140, 35, 115, 14, 94, 34, 114, 58, 138, 26, 106)(11, 91, 30, 110, 64, 144, 37, 117, 15, 95, 36, 116, 61, 141, 78, 158, 65, 145, 31, 111)(19, 99, 43, 123, 69, 149, 79, 159, 72, 152, 51, 131, 22, 102, 50, 130, 70, 150, 44, 124)(21, 101, 48, 128, 75, 155, 53, 133, 23, 103, 52, 132, 73, 153, 80, 160, 76, 156, 49, 129)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 94)(6, 84)(7, 99)(8, 102)(9, 98)(10, 107)(11, 83)(12, 103)(13, 101)(14, 97)(15, 85)(16, 118)(17, 95)(18, 91)(19, 93)(20, 125)(21, 87)(22, 92)(23, 88)(24, 134)(25, 124)(26, 131)(27, 122)(28, 140)(29, 90)(30, 132)(31, 128)(32, 135)(33, 127)(34, 123)(35, 130)(36, 133)(37, 129)(38, 121)(39, 96)(40, 137)(41, 119)(42, 109)(43, 117)(44, 111)(45, 113)(46, 152)(47, 100)(48, 105)(49, 114)(50, 116)(51, 110)(52, 106)(53, 115)(54, 112)(55, 104)(56, 149)(57, 147)(58, 151)(59, 150)(60, 148)(61, 108)(62, 153)(63, 155)(64, 154)(65, 120)(66, 156)(67, 145)(68, 141)(69, 146)(70, 143)(71, 144)(72, 142)(73, 126)(74, 138)(75, 139)(76, 136)(77, 159)(78, 160)(79, 158)(80, 157)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1568
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.1570 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10})
Quotient :: edge^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 74>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y1^4, Y2^4, Y2^4, R * Y1 * R * Y2, (Y1^-1 * Y2)^2, Y1^4, (R * Y3)^2, Y1 * Y3^2 * Y2 * Y3^-3, Y1 * Y3^-4 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 81, 4, 84, 16, 96, 43, 123, 38, 118, 73, 153, 53, 133, 63, 143, 27, 107, 7, 87)(2, 82, 9, 89, 30, 110, 66, 146, 60, 140, 50, 130, 18, 98, 49, 129, 35, 115, 11, 91)(3, 83, 5, 85, 20, 100, 52, 132, 42, 122, 44, 124, 61, 141, 62, 142, 40, 120, 14, 94)(6, 86, 22, 102, 54, 134, 57, 137, 24, 104, 56, 136, 45, 125, 77, 157, 55, 135, 23, 103)(8, 88, 28, 108, 64, 144, 79, 159, 72, 152, 39, 119, 31, 111, 68, 148, 46, 126, 19, 99)(10, 90, 32, 112, 69, 149, 51, 131, 33, 113, 70, 150, 67, 147, 75, 155, 37, 117, 13, 93)(12, 92, 36, 116, 74, 154, 80, 160, 71, 151, 34, 114, 21, 101, 48, 128, 65, 145, 29, 109)(15, 95, 17, 97, 47, 127, 78, 158, 76, 156, 58, 138, 25, 105, 26, 106, 59, 139, 41, 121)(161, 162, 168, 165)(163, 172, 169, 170)(164, 166, 179, 177)(167, 184, 188, 186)(171, 193, 180, 181)(173, 175, 196, 182)(174, 198, 190, 191)(176, 178, 206, 204)(183, 211, 207, 208)(185, 189, 216, 192)(187, 220, 224, 222)(194, 217, 230, 219)(195, 232, 212, 213)(197, 202, 234, 209)(199, 201, 233, 214)(200, 231, 226, 227)(203, 205, 228, 218)(210, 229, 221, 225)(215, 239, 238, 223)(235, 236, 240, 237)(241, 243, 253, 246)(242, 247, 265, 250)(244, 255, 277, 258)(245, 259, 263, 261)(248, 251, 274, 266)(249, 269, 298, 271)(252, 254, 279, 262)(256, 282, 315, 285)(257, 286, 290, 288)(260, 291, 295, 293)(264, 267, 301, 272)(268, 297, 311, 302)(270, 283, 316, 307)(273, 275, 313, 299)(276, 281, 312, 289)(278, 280, 310, 294)(284, 308, 296, 305)(287, 309, 300, 303)(292, 319, 317, 314)(304, 306, 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 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1573
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.1571 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 10})
Quotient :: edge^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 74>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, (Y2 * Y1^-1)^2, Y1^4, Y2^-1 * Y1^2 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)(161, 162, 166, 164)(163, 169, 178, 168)(165, 171, 182, 173)(167, 176, 188, 175)(170, 181, 195, 180)(172, 174, 186, 184)(177, 191, 208, 190)(179, 193, 210, 192)(183, 199, 218, 198)(185, 197, 216, 201)(187, 204, 224, 203)(189, 206, 226, 205)(194, 213, 227, 212)(196, 215, 225, 214)(200, 202, 222, 220)(207, 229, 236, 228)(209, 231, 219, 230)(211, 233, 217, 232)(221, 235, 237, 223)(234, 238, 240, 239)(241, 243, 250, 245)(242, 247, 257, 248)(244, 251, 263, 252)(246, 254, 267, 255)(249, 259, 274, 260)(253, 261, 276, 265)(256, 269, 287, 270)(258, 271, 289, 272)(262, 277, 297, 278)(264, 279, 299, 280)(266, 282, 303, 283)(268, 284, 305, 285)(273, 291, 314, 292)(275, 293, 306, 294)(281, 295, 304, 301)(286, 307, 318, 308)(288, 309, 300, 310)(290, 311, 298, 312)(296, 315, 319, 313)(302, 316, 320, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1572
Graph:: simple bipartite
	v = 120 e = 160 f = 8
	degree seq :: [ 2^80, 4^40 ]

E17.1572 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10})
Quotient :: loop^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 74>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y1^4, Y2^4, Y2^4, R * Y1 * R * Y2, (Y1^-1 * Y2)^2, Y1^4, (R * Y3)^2, Y1 * Y3^2 * Y2 * Y3^-3, Y1 * Y3^-4 * Y2 * Y3^-1 ]
Map::
	R = (1, 81, 161, 241, 4, 84, 164, 244, 16, 96, 176, 256, 43, 123, 203, 283, 38, 118, 198, 278, 73, 153, 233, 313, 53, 133, 213, 293, 63, 143, 223, 303, 27, 107, 187, 267, 7, 87, 167, 247)(2, 82, 162, 242, 9, 89, 169, 249, 30, 110, 190, 270, 66, 146, 226, 306, 60, 140, 220, 300, 50, 130, 210, 290, 18, 98, 178, 258, 49, 129, 209, 289, 35, 115, 195, 275, 11, 91, 171, 251)(3, 83, 163, 243, 5, 85, 165, 245, 20, 100, 180, 260, 52, 132, 212, 292, 42, 122, 202, 282, 44, 124, 204, 284, 61, 141, 221, 301, 62, 142, 222, 302, 40, 120, 200, 280, 14, 94, 174, 254)(6, 86, 166, 246, 22, 102, 182, 262, 54, 134, 214, 294, 57, 137, 217, 297, 24, 104, 184, 264, 56, 136, 216, 296, 45, 125, 205, 285, 77, 157, 237, 317, 55, 135, 215, 295, 23, 103, 183, 263)(8, 88, 168, 248, 28, 108, 188, 268, 64, 144, 224, 304, 79, 159, 239, 319, 72, 152, 232, 312, 39, 119, 199, 279, 31, 111, 191, 271, 68, 148, 228, 308, 46, 126, 206, 286, 19, 99, 179, 259)(10, 90, 170, 250, 32, 112, 192, 272, 69, 149, 229, 309, 51, 131, 211, 291, 33, 113, 193, 273, 70, 150, 230, 310, 67, 147, 227, 307, 75, 155, 235, 315, 37, 117, 197, 277, 13, 93, 173, 253)(12, 92, 172, 252, 36, 116, 196, 276, 74, 154, 234, 314, 80, 160, 240, 320, 71, 151, 231, 311, 34, 114, 194, 274, 21, 101, 181, 261, 48, 128, 208, 288, 65, 145, 225, 305, 29, 109, 189, 269)(15, 95, 175, 255, 17, 97, 177, 257, 47, 127, 207, 287, 78, 158, 238, 318, 76, 156, 236, 316, 58, 138, 218, 298, 25, 105, 185, 265, 26, 106, 186, 266, 59, 139, 219, 299, 41, 121, 201, 281)
	L = (1, 82)(2, 88)(3, 92)(4, 86)(5, 81)(6, 99)(7, 104)(8, 85)(9, 90)(10, 83)(11, 113)(12, 89)(13, 95)(14, 118)(15, 116)(16, 98)(17, 84)(18, 126)(19, 97)(20, 101)(21, 91)(22, 93)(23, 131)(24, 108)(25, 109)(26, 87)(27, 140)(28, 106)(29, 136)(30, 111)(31, 94)(32, 105)(33, 100)(34, 137)(35, 152)(36, 102)(37, 122)(38, 110)(39, 121)(40, 151)(41, 153)(42, 154)(43, 125)(44, 96)(45, 148)(46, 124)(47, 128)(48, 103)(49, 117)(50, 149)(51, 127)(52, 133)(53, 115)(54, 119)(55, 159)(56, 112)(57, 150)(58, 123)(59, 114)(60, 144)(61, 145)(62, 107)(63, 135)(64, 142)(65, 130)(66, 147)(67, 120)(68, 138)(69, 141)(70, 139)(71, 146)(72, 132)(73, 134)(74, 129)(75, 156)(76, 160)(77, 155)(78, 143)(79, 158)(80, 157)(161, 243)(162, 247)(163, 253)(164, 255)(165, 259)(166, 241)(167, 265)(168, 251)(169, 269)(170, 242)(171, 274)(172, 254)(173, 246)(174, 279)(175, 277)(176, 282)(177, 286)(178, 244)(179, 263)(180, 291)(181, 245)(182, 252)(183, 261)(184, 267)(185, 250)(186, 248)(187, 301)(188, 297)(189, 298)(190, 283)(191, 249)(192, 264)(193, 275)(194, 266)(195, 313)(196, 281)(197, 258)(198, 280)(199, 262)(200, 310)(201, 312)(202, 315)(203, 316)(204, 308)(205, 256)(206, 290)(207, 309)(208, 257)(209, 276)(210, 288)(211, 295)(212, 319)(213, 260)(214, 278)(215, 293)(216, 305)(217, 311)(218, 271)(219, 273)(220, 303)(221, 272)(222, 268)(223, 287)(224, 306)(225, 284)(226, 320)(227, 270)(228, 296)(229, 300)(230, 294)(231, 302)(232, 289)(233, 299)(234, 292)(235, 285)(236, 307)(237, 314)(238, 304)(239, 317)(240, 318)
	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 E17.1571
Transitivity :: VT+
Graph:: bipartite
	v = 8 e = 160 f = 120
	degree seq :: [ 40^8 ]

E17.1573 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 10})
Quotient :: loop^2
Aut^+ = (C2 x (C5 : C4)) : C2 (small group id <80, 34>)
Aut   = ((C2 x (C5 : C4)) : C2) : C2 (small group id <160, 74>)
|r| :: 2
Presentation :: [ Y3, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, (Y2 * Y1^-1)^2, Y1^4, Y2^-1 * Y1^2 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1, (Y1^-1 * Y3^-1 * Y2^-1)^10 ]
Map:: polytopal non-degenerate
	R = (1, 81, 161, 241)(2, 82, 162, 242)(3, 83, 163, 243)(4, 84, 164, 244)(5, 85, 165, 245)(6, 86, 166, 246)(7, 87, 167, 247)(8, 88, 168, 248)(9, 89, 169, 249)(10, 90, 170, 250)(11, 91, 171, 251)(12, 92, 172, 252)(13, 93, 173, 253)(14, 94, 174, 254)(15, 95, 175, 255)(16, 96, 176, 256)(17, 97, 177, 257)(18, 98, 178, 258)(19, 99, 179, 259)(20, 100, 180, 260)(21, 101, 181, 261)(22, 102, 182, 262)(23, 103, 183, 263)(24, 104, 184, 264)(25, 105, 185, 265)(26, 106, 186, 266)(27, 107, 187, 267)(28, 108, 188, 268)(29, 109, 189, 269)(30, 110, 190, 270)(31, 111, 191, 271)(32, 112, 192, 272)(33, 113, 193, 273)(34, 114, 194, 274)(35, 115, 195, 275)(36, 116, 196, 276)(37, 117, 197, 277)(38, 118, 198, 278)(39, 119, 199, 279)(40, 120, 200, 280)(41, 121, 201, 281)(42, 122, 202, 282)(43, 123, 203, 283)(44, 124, 204, 284)(45, 125, 205, 285)(46, 126, 206, 286)(47, 127, 207, 287)(48, 128, 208, 288)(49, 129, 209, 289)(50, 130, 210, 290)(51, 131, 211, 291)(52, 132, 212, 292)(53, 133, 213, 293)(54, 134, 214, 294)(55, 135, 215, 295)(56, 136, 216, 296)(57, 137, 217, 297)(58, 138, 218, 298)(59, 139, 219, 299)(60, 140, 220, 300)(61, 141, 221, 301)(62, 142, 222, 302)(63, 143, 223, 303)(64, 144, 224, 304)(65, 145, 225, 305)(66, 146, 226, 306)(67, 147, 227, 307)(68, 148, 228, 308)(69, 149, 229, 309)(70, 150, 230, 310)(71, 151, 231, 311)(72, 152, 232, 312)(73, 153, 233, 313)(74, 154, 234, 314)(75, 155, 235, 315)(76, 156, 236, 316)(77, 157, 237, 317)(78, 158, 238, 318)(79, 159, 239, 319)(80, 160, 240, 320)
	L = (1, 82)(2, 86)(3, 89)(4, 81)(5, 91)(6, 84)(7, 96)(8, 83)(9, 98)(10, 101)(11, 102)(12, 94)(13, 85)(14, 106)(15, 87)(16, 108)(17, 111)(18, 88)(19, 113)(20, 90)(21, 115)(22, 93)(23, 119)(24, 92)(25, 117)(26, 104)(27, 124)(28, 95)(29, 126)(30, 97)(31, 128)(32, 99)(33, 130)(34, 133)(35, 100)(36, 135)(37, 136)(38, 103)(39, 138)(40, 122)(41, 105)(42, 142)(43, 107)(44, 144)(45, 109)(46, 146)(47, 149)(48, 110)(49, 151)(50, 112)(51, 153)(52, 114)(53, 147)(54, 116)(55, 145)(56, 121)(57, 152)(58, 118)(59, 150)(60, 120)(61, 155)(62, 140)(63, 141)(64, 123)(65, 134)(66, 125)(67, 132)(68, 127)(69, 156)(70, 129)(71, 139)(72, 131)(73, 137)(74, 158)(75, 157)(76, 148)(77, 143)(78, 160)(79, 154)(80, 159)(161, 243)(162, 247)(163, 250)(164, 251)(165, 241)(166, 254)(167, 257)(168, 242)(169, 259)(170, 245)(171, 263)(172, 244)(173, 261)(174, 267)(175, 246)(176, 269)(177, 248)(178, 271)(179, 274)(180, 249)(181, 276)(182, 277)(183, 252)(184, 279)(185, 253)(186, 282)(187, 255)(188, 284)(189, 287)(190, 256)(191, 289)(192, 258)(193, 291)(194, 260)(195, 293)(196, 265)(197, 297)(198, 262)(199, 299)(200, 264)(201, 295)(202, 303)(203, 266)(204, 305)(205, 268)(206, 307)(207, 270)(208, 309)(209, 272)(210, 311)(211, 314)(212, 273)(213, 306)(214, 275)(215, 304)(216, 315)(217, 278)(218, 312)(219, 280)(220, 310)(221, 281)(222, 316)(223, 283)(224, 301)(225, 285)(226, 294)(227, 318)(228, 286)(229, 300)(230, 288)(231, 298)(232, 290)(233, 296)(234, 292)(235, 319)(236, 320)(237, 302)(238, 308)(239, 313)(240, 317)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.1570
Transitivity :: VT+
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.1574 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 20, 20})
Quotient :: regular
Aut^+ = C5 x ((C4 x C2) : C2) (small group id <80, 21>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1 * T2 * T1^-2 * T2 * T1, (T1 * T2 * T1^-1 * T2)^2, T1^20 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 69, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 12, 22, 30, 39, 46, 55, 62, 71, 76, 74, 66, 58, 50, 42, 34, 26, 17, 8)(6, 13, 21, 31, 38, 47, 54, 63, 70, 77, 75, 67, 59, 51, 43, 35, 27, 18, 9, 14)(15, 23, 32, 40, 48, 56, 64, 72, 78, 80, 79, 73, 65, 57, 49, 41, 33, 25, 16, 24)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 25)(19, 27)(20, 30)(22, 32)(26, 33)(28, 34)(29, 38)(31, 40)(35, 41)(36, 43)(37, 46)(39, 48)(42, 49)(44, 50)(45, 54)(47, 56)(51, 57)(52, 59)(53, 62)(55, 64)(58, 65)(60, 66)(61, 70)(63, 72)(67, 73)(68, 75)(69, 76)(71, 78)(74, 79)(77, 80)
	local type(s) :: { ( 20^20 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 40 f = 4
	degree seq :: [ 20^4 ]

E17.1575 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 20, 20})
Quotient :: edge
Aut^+ = C5 x ((C4 x C2) : C2) (small group id <80, 21>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^20 ]
Map::
	R = (1, 3, 8, 17, 26, 34, 42, 50, 58, 66, 74, 68, 60, 52, 44, 36, 28, 19, 10, 4)(2, 5, 12, 22, 30, 38, 46, 54, 62, 70, 77, 72, 64, 56, 48, 40, 32, 24, 14, 6)(7, 15, 25, 33, 41, 49, 57, 65, 73, 79, 75, 67, 59, 51, 43, 35, 27, 18, 9, 16)(11, 20, 29, 37, 45, 53, 61, 69, 76, 80, 78, 71, 63, 55, 47, 39, 31, 23, 13, 21)(81, 82)(83, 87)(84, 89)(85, 91)(86, 93)(88, 92)(90, 94)(95, 100)(96, 101)(97, 105)(98, 103)(99, 107)(102, 109)(104, 111)(106, 110)(108, 112)(113, 117)(114, 121)(115, 119)(116, 123)(118, 125)(120, 127)(122, 126)(124, 128)(129, 133)(130, 137)(131, 135)(132, 139)(134, 141)(136, 143)(138, 142)(140, 144)(145, 149)(146, 153)(147, 151)(148, 155)(150, 156)(152, 158)(154, 157)(159, 160)
	L = (1, 81)(2, 82)(3, 83)(4, 84)(5, 85)(6, 86)(7, 87)(8, 88)(9, 89)(10, 90)(11, 91)(12, 92)(13, 93)(14, 94)(15, 95)(16, 96)(17, 97)(18, 98)(19, 99)(20, 100)(21, 101)(22, 102)(23, 103)(24, 104)(25, 105)(26, 106)(27, 107)(28, 108)(29, 109)(30, 110)(31, 111)(32, 112)(33, 113)(34, 114)(35, 115)(36, 116)(37, 117)(38, 118)(39, 119)(40, 120)(41, 121)(42, 122)(43, 123)(44, 124)(45, 125)(46, 126)(47, 127)(48, 128)(49, 129)(50, 130)(51, 131)(52, 132)(53, 133)(54, 134)(55, 135)(56, 136)(57, 137)(58, 138)(59, 139)(60, 140)(61, 141)(62, 142)(63, 143)(64, 144)(65, 145)(66, 146)(67, 147)(68, 148)(69, 149)(70, 150)(71, 151)(72, 152)(73, 153)(74, 154)(75, 155)(76, 156)(77, 157)(78, 158)(79, 159)(80, 160)
	local type(s) :: { ( 40, 40 ), ( 40^20 ) }
Outer automorphisms :: reflexible
Dual of E17.1576
Transitivity :: ET+
Graph:: simple bipartite
	v = 44 e = 80 f = 4
	degree seq :: [ 2^40, 20^4 ]

E17.1576 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 20, 20})
Quotient :: loop
Aut^+ = C5 x ((C4 x C2) : C2) (small group id <80, 21>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^2 * T1 * T2^-2 * T1, (T2 * T1 * T2^-1 * T1)^2, T2^20 ]
Map::
	R = (1, 81, 3, 83, 8, 88, 17, 97, 26, 106, 34, 114, 42, 122, 50, 130, 58, 138, 66, 146, 74, 154, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 19, 99, 10, 90, 4, 84)(2, 82, 5, 85, 12, 92, 22, 102, 30, 110, 38, 118, 46, 126, 54, 134, 62, 142, 70, 150, 77, 157, 72, 152, 64, 144, 56, 136, 48, 128, 40, 120, 32, 112, 24, 104, 14, 94, 6, 86)(7, 87, 15, 95, 25, 105, 33, 113, 41, 121, 49, 129, 57, 137, 65, 145, 73, 153, 79, 159, 75, 155, 67, 147, 59, 139, 51, 131, 43, 123, 35, 115, 27, 107, 18, 98, 9, 89, 16, 96)(11, 91, 20, 100, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 76, 156, 80, 160, 78, 158, 71, 151, 63, 143, 55, 135, 47, 127, 39, 119, 31, 111, 23, 103, 13, 93, 21, 101)
	L = (1, 82)(2, 81)(3, 87)(4, 89)(5, 91)(6, 93)(7, 83)(8, 92)(9, 84)(10, 94)(11, 85)(12, 88)(13, 86)(14, 90)(15, 100)(16, 101)(17, 105)(18, 103)(19, 107)(20, 95)(21, 96)(22, 109)(23, 98)(24, 111)(25, 97)(26, 110)(27, 99)(28, 112)(29, 102)(30, 106)(31, 104)(32, 108)(33, 117)(34, 121)(35, 119)(36, 123)(37, 113)(38, 125)(39, 115)(40, 127)(41, 114)(42, 126)(43, 116)(44, 128)(45, 118)(46, 122)(47, 120)(48, 124)(49, 133)(50, 137)(51, 135)(52, 139)(53, 129)(54, 141)(55, 131)(56, 143)(57, 130)(58, 142)(59, 132)(60, 144)(61, 134)(62, 138)(63, 136)(64, 140)(65, 149)(66, 153)(67, 151)(68, 155)(69, 145)(70, 156)(71, 147)(72, 158)(73, 146)(74, 157)(75, 148)(76, 150)(77, 154)(78, 152)(79, 160)(80, 159)
	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 E17.1575
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 80 f = 44
	degree seq :: [ 40^4 ]

E17.1577 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20})
Quotient :: dipole
Aut^+ = C5 x ((C4 x C2) : C2) (small group id <80, 21>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1, (Y2^-1 * R * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^20, (Y3 * Y2^-1)^20 ]
Map::
	R = (1, 81, 2, 82)(3, 83, 7, 87)(4, 84, 9, 89)(5, 85, 11, 91)(6, 86, 13, 93)(8, 88, 12, 92)(10, 90, 14, 94)(15, 95, 20, 100)(16, 96, 21, 101)(17, 97, 25, 105)(18, 98, 23, 103)(19, 99, 27, 107)(22, 102, 29, 109)(24, 104, 31, 111)(26, 106, 30, 110)(28, 108, 32, 112)(33, 113, 37, 117)(34, 114, 41, 121)(35, 115, 39, 119)(36, 116, 43, 123)(38, 118, 45, 125)(40, 120, 47, 127)(42, 122, 46, 126)(44, 124, 48, 128)(49, 129, 53, 133)(50, 130, 57, 137)(51, 131, 55, 135)(52, 132, 59, 139)(54, 134, 61, 141)(56, 136, 63, 143)(58, 138, 62, 142)(60, 140, 64, 144)(65, 145, 69, 149)(66, 146, 73, 153)(67, 147, 71, 151)(68, 148, 75, 155)(70, 150, 76, 156)(72, 152, 78, 158)(74, 154, 77, 157)(79, 159, 80, 160)(161, 241, 163, 243, 168, 248, 177, 257, 186, 266, 194, 274, 202, 282, 210, 290, 218, 298, 226, 306, 234, 314, 228, 308, 220, 300, 212, 292, 204, 284, 196, 276, 188, 268, 179, 259, 170, 250, 164, 244)(162, 242, 165, 245, 172, 252, 182, 262, 190, 270, 198, 278, 206, 286, 214, 294, 222, 302, 230, 310, 237, 317, 232, 312, 224, 304, 216, 296, 208, 288, 200, 280, 192, 272, 184, 264, 174, 254, 166, 246)(167, 247, 175, 255, 185, 265, 193, 273, 201, 281, 209, 289, 217, 297, 225, 305, 233, 313, 239, 319, 235, 315, 227, 307, 219, 299, 211, 291, 203, 283, 195, 275, 187, 267, 178, 258, 169, 249, 176, 256)(171, 251, 180, 260, 189, 269, 197, 277, 205, 285, 213, 293, 221, 301, 229, 309, 236, 316, 240, 320, 238, 318, 231, 311, 223, 303, 215, 295, 207, 287, 199, 279, 191, 271, 183, 263, 173, 253, 181, 261)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 172)(9, 164)(10, 174)(11, 165)(12, 168)(13, 166)(14, 170)(15, 180)(16, 181)(17, 185)(18, 183)(19, 187)(20, 175)(21, 176)(22, 189)(23, 178)(24, 191)(25, 177)(26, 190)(27, 179)(28, 192)(29, 182)(30, 186)(31, 184)(32, 188)(33, 197)(34, 201)(35, 199)(36, 203)(37, 193)(38, 205)(39, 195)(40, 207)(41, 194)(42, 206)(43, 196)(44, 208)(45, 198)(46, 202)(47, 200)(48, 204)(49, 213)(50, 217)(51, 215)(52, 219)(53, 209)(54, 221)(55, 211)(56, 223)(57, 210)(58, 222)(59, 212)(60, 224)(61, 214)(62, 218)(63, 216)(64, 220)(65, 229)(66, 233)(67, 231)(68, 235)(69, 225)(70, 236)(71, 227)(72, 238)(73, 226)(74, 237)(75, 228)(76, 230)(77, 234)(78, 232)(79, 240)(80, 239)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 2, 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 E17.1578
Graph:: bipartite
	v = 44 e = 160 f = 84
	degree seq :: [ 4^40, 40^4 ]

E17.1578 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 20, 20})
Quotient :: dipole
Aut^+ = C5 x ((C4 x C2) : C2) (small group id <80, 21>)
Aut   = (C2 x C2 x C2 x D10) : C2 (small group id <160, 103>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^-1 * Y1^-2 * Y3 * Y1, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1, Y1^20, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map::
	R = (1, 81, 2, 82, 5, 85, 11, 91, 20, 100, 29, 109, 37, 117, 45, 125, 53, 133, 61, 141, 69, 149, 68, 148, 60, 140, 52, 132, 44, 124, 36, 116, 28, 108, 19, 99, 10, 90, 4, 84)(3, 83, 7, 87, 12, 92, 22, 102, 30, 110, 39, 119, 46, 126, 55, 135, 62, 142, 71, 151, 76, 156, 74, 154, 66, 146, 58, 138, 50, 130, 42, 122, 34, 114, 26, 106, 17, 97, 8, 88)(6, 86, 13, 93, 21, 101, 31, 111, 38, 118, 47, 127, 54, 134, 63, 143, 70, 150, 77, 157, 75, 155, 67, 147, 59, 139, 51, 131, 43, 123, 35, 115, 27, 107, 18, 98, 9, 89, 14, 94)(15, 95, 23, 103, 32, 112, 40, 120, 48, 128, 56, 136, 64, 144, 72, 152, 78, 158, 80, 160, 79, 159, 73, 153, 65, 145, 57, 137, 49, 129, 41, 121, 33, 113, 25, 105, 16, 96, 24, 104)(161, 241)(162, 242)(163, 243)(164, 244)(165, 245)(166, 246)(167, 247)(168, 248)(169, 249)(170, 250)(171, 251)(172, 252)(173, 253)(174, 254)(175, 255)(176, 256)(177, 257)(178, 258)(179, 259)(180, 260)(181, 261)(182, 262)(183, 263)(184, 264)(185, 265)(186, 266)(187, 267)(188, 268)(189, 269)(190, 270)(191, 271)(192, 272)(193, 273)(194, 274)(195, 275)(196, 276)(197, 277)(198, 278)(199, 279)(200, 280)(201, 281)(202, 282)(203, 283)(204, 284)(205, 285)(206, 286)(207, 287)(208, 288)(209, 289)(210, 290)(211, 291)(212, 292)(213, 293)(214, 294)(215, 295)(216, 296)(217, 297)(218, 298)(219, 299)(220, 300)(221, 301)(222, 302)(223, 303)(224, 304)(225, 305)(226, 306)(227, 307)(228, 308)(229, 309)(230, 310)(231, 311)(232, 312)(233, 313)(234, 314)(235, 315)(236, 316)(237, 317)(238, 318)(239, 319)(240, 320)
	L = (1, 163)(2, 166)(3, 161)(4, 169)(5, 172)(6, 162)(7, 175)(8, 176)(9, 164)(10, 177)(11, 181)(12, 165)(13, 183)(14, 184)(15, 167)(16, 168)(17, 170)(18, 185)(19, 187)(20, 190)(21, 171)(22, 192)(23, 173)(24, 174)(25, 178)(26, 193)(27, 179)(28, 194)(29, 198)(30, 180)(31, 200)(32, 182)(33, 186)(34, 188)(35, 201)(36, 203)(37, 206)(38, 189)(39, 208)(40, 191)(41, 195)(42, 209)(43, 196)(44, 210)(45, 214)(46, 197)(47, 216)(48, 199)(49, 202)(50, 204)(51, 217)(52, 219)(53, 222)(54, 205)(55, 224)(56, 207)(57, 211)(58, 225)(59, 212)(60, 226)(61, 230)(62, 213)(63, 232)(64, 215)(65, 218)(66, 220)(67, 233)(68, 235)(69, 236)(70, 221)(71, 238)(72, 223)(73, 227)(74, 239)(75, 228)(76, 229)(77, 240)(78, 231)(79, 234)(80, 237)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4, 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 E17.1577
Graph:: simple bipartite
	v = 84 e = 160 f = 44
	degree seq :: [ 2^80, 40^4 ]

E17.1579 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y2 * Y3)^2, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1 * Y3 * Y2)^3, (Y1^-1 * Y3 * Y2)^3, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 101, 5, 97)(3, 104, 8, 106, 10, 99)(4, 107, 11, 108, 12, 100)(6, 111, 15, 113, 17, 102)(7, 114, 18, 115, 19, 103)(9, 118, 22, 119, 23, 105)(13, 126, 30, 128, 32, 109)(14, 129, 33, 130, 34, 110)(16, 133, 37, 134, 38, 112)(20, 141, 45, 143, 47, 116)(21, 144, 48, 145, 49, 117)(24, 150, 54, 138, 42, 120)(25, 152, 56, 132, 36, 121)(26, 153, 57, 155, 59, 122)(27, 156, 60, 157, 61, 123)(28, 158, 62, 137, 41, 124)(29, 160, 64, 131, 35, 125)(31, 163, 67, 164, 68, 127)(39, 170, 74, 166, 70, 135)(40, 172, 76, 162, 66, 136)(43, 174, 78, 165, 69, 139)(44, 176, 80, 161, 65, 140)(46, 159, 63, 169, 73, 142)(50, 167, 71, 175, 79, 146)(51, 173, 77, 171, 75, 147)(52, 183, 87, 180, 84, 148)(53, 184, 88, 177, 81, 149)(55, 168, 72, 154, 58, 151)(82, 189, 93, 188, 92, 178)(83, 192, 96, 186, 90, 179)(85, 191, 95, 187, 91, 181)(86, 190, 94, 185, 89, 182)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 35)(17, 39)(18, 41)(19, 43)(21, 46)(22, 50)(23, 52)(25, 55)(27, 58)(29, 63)(30, 65)(32, 60)(33, 69)(34, 57)(36, 71)(37, 53)(38, 72)(40, 75)(42, 77)(44, 79)(45, 81)(47, 82)(48, 84)(49, 85)(51, 68)(54, 89)(56, 91)(59, 86)(61, 83)(62, 92)(64, 90)(66, 88)(67, 73)(70, 87)(74, 93)(76, 95)(78, 96)(80, 94)(97, 100)(98, 103)(99, 105)(101, 110)(102, 112)(104, 117)(106, 121)(107, 123)(108, 125)(109, 127)(111, 132)(113, 136)(114, 138)(115, 140)(116, 142)(118, 147)(119, 149)(120, 151)(122, 154)(124, 159)(126, 162)(128, 144)(129, 166)(130, 141)(131, 167)(133, 148)(134, 169)(135, 171)(137, 173)(139, 175)(143, 179)(145, 182)(146, 164)(150, 186)(152, 188)(153, 177)(155, 181)(156, 180)(157, 178)(158, 187)(160, 185)(161, 184)(163, 168)(165, 183)(170, 190)(172, 192)(174, 191)(176, 189)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.1580 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y3 * Y2, Y1^3, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1 * Y2 * Y1^-1)^3, (Y2 * Y1^-1)^8, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map::
	R = (1, 98, 2, 100, 4, 97)(3, 102, 6, 103, 7, 99)(5, 105, 9, 106, 10, 101)(8, 109, 13, 110, 14, 104)(11, 113, 17, 114, 18, 107)(12, 115, 19, 116, 20, 108)(15, 119, 23, 120, 24, 111)(16, 121, 25, 122, 26, 112)(21, 127, 31, 128, 32, 117)(22, 129, 33, 130, 34, 118)(27, 135, 39, 136, 40, 123)(28, 133, 37, 137, 41, 124)(29, 138, 42, 139, 43, 125)(30, 140, 44, 141, 45, 126)(35, 145, 49, 146, 50, 131)(36, 143, 47, 147, 51, 132)(38, 148, 52, 149, 53, 134)(46, 156, 60, 157, 61, 142)(48, 158, 62, 159, 63, 144)(54, 165, 69, 166, 70, 150)(55, 154, 58, 167, 71, 151)(56, 168, 72, 169, 73, 152)(57, 170, 74, 171, 75, 153)(59, 172, 76, 160, 64, 155)(65, 163, 67, 176, 80, 161)(66, 177, 81, 178, 82, 162)(68, 179, 83, 173, 77, 164)(78, 175, 79, 187, 91, 174)(84, 182, 86, 190, 94, 180)(85, 192, 96, 188, 92, 181)(87, 191, 95, 184, 88, 183)(89, 186, 90, 189, 93, 185)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 46)(32, 43)(33, 47)(34, 48)(39, 54)(40, 55)(41, 56)(42, 57)(44, 58)(45, 59)(49, 64)(50, 65)(51, 66)(52, 67)(53, 68)(60, 77)(61, 78)(62, 79)(63, 69)(70, 84)(71, 85)(72, 86)(73, 87)(74, 88)(75, 89)(76, 90)(80, 92)(81, 93)(82, 94)(83, 95)(91, 96)(97, 99)(98, 101)(100, 104)(102, 107)(103, 108)(105, 111)(106, 112)(109, 117)(110, 118)(113, 123)(114, 124)(115, 125)(116, 126)(119, 131)(120, 132)(121, 133)(122, 134)(127, 142)(128, 139)(129, 143)(130, 144)(135, 150)(136, 151)(137, 152)(138, 153)(140, 154)(141, 155)(145, 160)(146, 161)(147, 162)(148, 163)(149, 164)(156, 173)(157, 174)(158, 175)(159, 165)(166, 180)(167, 181)(168, 182)(169, 183)(170, 184)(171, 185)(172, 186)(176, 188)(177, 189)(178, 190)(179, 191)(187, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.1581 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y1)^2, Y1^-1 * Y2 * Y1 * Y3, R * Y3 * R * Y2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (Y3 * Y2)^4, (Y2 * Y3 * Y1)^3 ]
Map::
	R = (1, 98, 2, 101, 5, 97)(3, 103, 7, 105, 9, 99)(4, 106, 10, 108, 12, 100)(6, 109, 13, 111, 15, 102)(8, 113, 17, 115, 19, 104)(11, 118, 22, 120, 24, 107)(14, 123, 27, 125, 29, 110)(16, 116, 20, 128, 32, 112)(18, 130, 34, 132, 36, 114)(21, 121, 25, 136, 40, 117)(23, 138, 42, 139, 43, 119)(26, 126, 30, 143, 47, 122)(28, 144, 48, 146, 50, 124)(31, 149, 53, 150, 54, 127)(33, 133, 37, 148, 52, 129)(35, 153, 57, 154, 58, 131)(38, 151, 55, 135, 39, 134)(41, 140, 44, 147, 51, 137)(45, 159, 63, 164, 68, 141)(46, 165, 69, 166, 70, 142)(49, 168, 72, 169, 73, 145)(56, 155, 59, 173, 77, 152)(60, 172, 76, 178, 82, 156)(61, 179, 83, 158, 62, 157)(64, 182, 86, 171, 75, 160)(65, 162, 66, 181, 85, 161)(67, 184, 88, 185, 89, 163)(71, 170, 74, 186, 90, 167)(78, 183, 87, 190, 94, 174)(79, 176, 80, 189, 93, 175)(81, 191, 95, 192, 96, 177)(84, 187, 91, 188, 92, 180)
	L = (1, 3)(2, 6)(4, 11)(5, 12)(7, 16)(8, 18)(9, 19)(10, 21)(13, 26)(14, 28)(15, 29)(17, 33)(20, 38)(22, 41)(23, 35)(24, 43)(25, 45)(27, 44)(30, 52)(31, 49)(32, 54)(34, 56)(36, 58)(37, 60)(39, 62)(40, 55)(42, 65)(46, 67)(47, 70)(48, 71)(50, 73)(51, 75)(53, 59)(57, 79)(61, 81)(63, 85)(64, 84)(66, 87)(68, 89)(69, 74)(72, 91)(76, 93)(77, 94)(78, 90)(80, 86)(82, 96)(83, 92)(88, 95)(97, 100)(98, 103)(99, 104)(101, 109)(102, 110)(105, 116)(106, 118)(107, 119)(108, 121)(111, 126)(112, 127)(113, 130)(114, 131)(115, 133)(117, 135)(120, 140)(122, 142)(123, 144)(124, 145)(125, 147)(128, 151)(129, 143)(132, 155)(134, 157)(136, 159)(137, 160)(138, 153)(139, 162)(141, 163)(146, 170)(148, 172)(149, 168)(150, 173)(152, 174)(154, 176)(156, 177)(158, 180)(161, 164)(165, 184)(166, 186)(167, 183)(169, 188)(171, 189)(175, 178)(179, 191)(181, 190)(182, 187)(185, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.1582 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, R * Y3 * R * Y2, (R * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1, Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3, (Y1^-2 * Y3 * Y1^-1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2, Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1^-1, (Y2 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y2)^4, (Y1^-1 * Y2 * Y3)^3, Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 101, 5, 97)(3, 104, 8, 106, 10, 99)(4, 107, 11, 109, 13, 100)(6, 112, 16, 114, 18, 102)(7, 115, 19, 117, 21, 103)(9, 120, 24, 122, 26, 105)(12, 127, 31, 129, 33, 108)(14, 132, 36, 134, 38, 110)(15, 135, 39, 137, 41, 111)(17, 124, 28, 140, 44, 113)(20, 144, 48, 146, 50, 116)(22, 149, 53, 150, 54, 118)(23, 151, 55, 147, 51, 119)(25, 154, 58, 156, 60, 121)(27, 159, 63, 126, 30, 123)(29, 136, 40, 162, 66, 125)(32, 139, 43, 166, 70, 128)(34, 167, 71, 169, 73, 130)(35, 170, 74, 171, 75, 131)(37, 142, 46, 173, 77, 133)(42, 155, 59, 176, 80, 138)(45, 180, 84, 143, 47, 141)(49, 172, 76, 184, 88, 145)(52, 186, 90, 187, 91, 148)(56, 168, 72, 178, 82, 152)(57, 161, 65, 182, 86, 153)(61, 189, 93, 190, 94, 157)(62, 181, 85, 164, 68, 158)(64, 188, 92, 191, 95, 160)(67, 183, 87, 179, 83, 163)(69, 177, 81, 185, 89, 165)(78, 192, 96, 175, 79, 174)
	L = (1, 3)(2, 6)(4, 12)(5, 14)(7, 20)(8, 22)(9, 25)(10, 27)(11, 29)(13, 34)(15, 40)(16, 35)(17, 43)(18, 45)(19, 33)(21, 51)(23, 56)(24, 57)(26, 61)(28, 65)(30, 67)(31, 68)(32, 59)(36, 52)(37, 76)(38, 78)(39, 50)(41, 80)(42, 81)(44, 82)(46, 86)(47, 64)(48, 87)(49, 73)(53, 62)(54, 88)(55, 60)(58, 75)(63, 89)(66, 92)(69, 77)(70, 91)(71, 93)(72, 96)(74, 83)(79, 85)(84, 94)(90, 95)(97, 100)(98, 103)(99, 105)(101, 111)(102, 113)(104, 119)(106, 124)(107, 126)(108, 128)(109, 131)(110, 133)(112, 138)(114, 142)(115, 143)(116, 145)(117, 148)(118, 137)(120, 134)(121, 155)(122, 158)(123, 160)(125, 153)(127, 165)(129, 161)(130, 168)(132, 167)(135, 175)(136, 156)(139, 169)(140, 179)(141, 181)(144, 157)(146, 182)(147, 185)(149, 166)(150, 188)(151, 172)(152, 180)(154, 186)(159, 189)(162, 178)(163, 174)(164, 171)(170, 184)(173, 191)(176, 190)(177, 192)(183, 187)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.1583 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^3, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: polytopal
	R = (1, 97, 4, 100, 5, 101)(2, 98, 7, 103, 8, 104)(3, 99, 9, 105, 10, 106)(6, 102, 15, 111, 16, 112)(11, 107, 26, 122, 27, 123)(12, 108, 28, 124, 29, 125)(13, 109, 31, 127, 32, 128)(14, 110, 33, 129, 34, 130)(17, 113, 40, 136, 41, 137)(18, 114, 42, 138, 43, 139)(19, 115, 45, 141, 46, 142)(20, 116, 47, 143, 48, 144)(21, 117, 50, 146, 51, 147)(22, 118, 52, 148, 53, 149)(23, 119, 55, 151, 56, 152)(24, 120, 57, 153, 58, 154)(25, 121, 59, 155, 60, 156)(30, 126, 65, 161, 66, 162)(35, 131, 71, 167, 72, 168)(36, 132, 73, 169, 74, 170)(37, 133, 75, 171, 76, 172)(38, 134, 77, 173, 78, 174)(39, 135, 54, 150, 79, 175)(44, 140, 84, 180, 49, 145)(61, 157, 89, 185, 70, 166)(62, 158, 90, 186, 68, 164)(63, 159, 91, 187, 69, 165)(64, 160, 92, 188, 67, 163)(80, 176, 93, 189, 88, 184)(81, 177, 94, 190, 86, 182)(82, 178, 95, 191, 87, 183)(83, 179, 96, 192, 85, 181)(193, 194)(195, 198)(196, 203)(197, 205)(199, 209)(200, 211)(201, 213)(202, 215)(204, 217)(206, 222)(207, 227)(208, 229)(210, 231)(212, 236)(214, 241)(216, 246)(218, 250)(219, 253)(220, 248)(221, 255)(223, 259)(224, 244)(225, 261)(226, 242)(228, 258)(230, 251)(232, 270)(233, 272)(234, 268)(235, 274)(237, 277)(238, 265)(239, 279)(240, 263)(243, 275)(245, 273)(247, 280)(249, 278)(252, 276)(254, 266)(256, 264)(257, 271)(260, 269)(262, 267)(281, 285)(282, 287)(283, 286)(284, 288)(289, 291)(290, 294)(292, 300)(293, 302)(295, 306)(296, 308)(297, 310)(298, 312)(299, 313)(301, 318)(303, 324)(304, 326)(305, 327)(307, 332)(309, 337)(311, 342)(314, 336)(315, 350)(316, 334)(317, 352)(319, 356)(320, 330)(321, 358)(322, 328)(323, 354)(325, 347)(329, 369)(331, 371)(333, 374)(335, 376)(338, 366)(339, 370)(340, 364)(341, 368)(343, 375)(344, 361)(345, 373)(346, 359)(348, 367)(349, 362)(351, 360)(353, 372)(355, 365)(357, 363)(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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1589
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.1584 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y3^-1)^3, (Y1 * Y3^-1)^8, (Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 97, 3, 99, 4, 100)(2, 98, 5, 101, 6, 102)(7, 103, 11, 107, 12, 108)(8, 104, 13, 109, 14, 110)(9, 105, 15, 111, 16, 112)(10, 106, 17, 113, 18, 114)(19, 115, 27, 123, 28, 124)(20, 116, 29, 125, 30, 126)(21, 117, 31, 127, 32, 128)(22, 118, 33, 129, 34, 130)(23, 119, 35, 131, 36, 132)(24, 120, 37, 133, 38, 134)(25, 121, 39, 135, 40, 136)(26, 122, 41, 137, 42, 138)(43, 139, 55, 151, 56, 152)(44, 140, 47, 143, 57, 153)(45, 141, 58, 154, 59, 155)(46, 142, 60, 156, 61, 157)(48, 144, 62, 158, 63, 159)(49, 145, 64, 160, 65, 161)(50, 146, 53, 149, 66, 162)(51, 147, 67, 163, 68, 164)(52, 148, 69, 165, 70, 166)(54, 150, 71, 167, 72, 168)(73, 169, 75, 171, 87, 183)(74, 170, 88, 184, 89, 185)(76, 172, 90, 186, 77, 173)(78, 174, 79, 175, 91, 187)(80, 176, 82, 178, 92, 188)(81, 177, 93, 189, 94, 190)(83, 179, 95, 191, 84, 180)(85, 181, 86, 182, 96, 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, 229)(222, 237)(223, 238)(224, 232)(225, 239)(226, 240)(227, 241)(228, 242)(230, 243)(231, 244)(233, 245)(234, 246)(247, 264)(248, 265)(249, 266)(250, 267)(251, 268)(252, 269)(253, 270)(254, 271)(255, 256)(257, 272)(258, 273)(259, 274)(260, 275)(261, 276)(262, 277)(263, 278)(279, 286)(280, 288)(281, 284)(282, 287)(283, 285)(289, 290)(291, 295)(292, 296)(293, 297)(294, 298)(299, 307)(300, 308)(301, 309)(302, 310)(303, 311)(304, 312)(305, 313)(306, 314)(315, 331)(316, 332)(317, 325)(318, 333)(319, 334)(320, 328)(321, 335)(322, 336)(323, 337)(324, 338)(326, 339)(327, 340)(329, 341)(330, 342)(343, 360)(344, 361)(345, 362)(346, 363)(347, 364)(348, 365)(349, 366)(350, 367)(351, 352)(353, 368)(354, 369)(355, 370)(356, 371)(357, 372)(358, 373)(359, 374)(375, 382)(376, 384)(377, 380)(378, 383)(379, 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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1590
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.1585 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y3, (Y2 * Y1 * Y3)^3, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 97, 4, 100, 5, 101)(2, 98, 7, 103, 8, 104)(3, 99, 10, 106, 11, 107)(6, 102, 15, 111, 16, 112)(9, 105, 20, 116, 21, 117)(12, 108, 13, 109, 25, 121)(14, 110, 28, 124, 29, 125)(17, 113, 18, 114, 33, 129)(19, 115, 35, 131, 36, 132)(22, 118, 23, 119, 40, 136)(24, 120, 43, 139, 44, 140)(26, 122, 45, 141, 47, 143)(27, 123, 48, 144, 49, 145)(30, 126, 31, 127, 53, 149)(32, 128, 41, 137, 55, 151)(34, 130, 56, 152, 58, 154)(37, 133, 38, 134, 61, 157)(39, 135, 64, 160, 65, 161)(42, 138, 67, 163, 68, 164)(46, 142, 69, 165, 70, 166)(50, 146, 51, 147, 73, 169)(52, 148, 76, 172, 77, 173)(54, 150, 66, 162, 78, 174)(57, 153, 79, 175, 80, 176)(59, 155, 60, 156, 82, 178)(62, 158, 83, 179, 85, 181)(63, 159, 86, 182, 87, 183)(71, 167, 72, 168, 91, 187)(74, 170, 92, 188, 81, 177)(75, 171, 93, 189, 94, 190)(84, 180, 95, 191, 96, 192)(88, 184, 89, 185, 90, 186)(193, 194)(195, 201)(196, 202)(197, 205)(198, 206)(199, 207)(200, 210)(203, 215)(204, 216)(208, 223)(209, 224)(211, 219)(212, 227)(213, 230)(214, 231)(217, 237)(218, 238)(220, 240)(221, 243)(222, 244)(225, 248)(226, 249)(228, 252)(229, 239)(232, 247)(233, 258)(234, 255)(235, 259)(236, 245)(241, 264)(242, 250)(246, 267)(251, 273)(253, 275)(254, 276)(256, 278)(257, 274)(260, 281)(261, 271)(262, 282)(263, 277)(265, 284)(266, 280)(268, 285)(269, 283)(270, 287)(272, 288)(279, 286)(289, 291)(290, 294)(292, 300)(293, 296)(295, 305)(297, 307)(298, 310)(299, 309)(301, 314)(302, 315)(303, 318)(304, 317)(306, 322)(308, 325)(311, 329)(312, 330)(313, 332)(316, 338)(319, 331)(320, 342)(321, 343)(323, 347)(324, 337)(326, 350)(327, 351)(328, 353)(333, 349)(334, 345)(335, 358)(336, 359)(339, 362)(340, 363)(341, 365)(344, 361)(346, 368)(348, 352)(354, 372)(355, 376)(356, 375)(357, 377)(360, 364)(366, 382)(367, 383)(369, 378)(370, 380)(371, 379)(373, 384)(374, 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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1591
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.1586 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1)^4, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y1 * Y3^-1 * Y2)^3, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 5, 101)(2, 98, 7, 103, 8, 104)(3, 99, 10, 106, 11, 107)(6, 102, 17, 113, 18, 114)(9, 105, 24, 120, 25, 121)(12, 108, 31, 127, 32, 128)(13, 109, 34, 130, 35, 131)(14, 110, 37, 133, 38, 134)(15, 111, 40, 136, 41, 137)(16, 112, 43, 139, 44, 140)(19, 115, 29, 125, 49, 145)(20, 116, 36, 132, 51, 147)(21, 117, 52, 148, 53, 149)(22, 118, 55, 151, 56, 152)(23, 119, 57, 153, 58, 154)(26, 122, 62, 158, 63, 159)(27, 123, 64, 160, 65, 161)(28, 124, 66, 162, 33, 129)(30, 126, 69, 165, 70, 166)(39, 135, 74, 170, 79, 175)(42, 138, 77, 173, 73, 169)(45, 141, 82, 178, 83, 179)(46, 142, 59, 155, 84, 180)(47, 143, 85, 181, 50, 146)(48, 144, 86, 182, 87, 183)(54, 150, 89, 185, 61, 157)(60, 156, 88, 184, 94, 190)(67, 163, 90, 186, 96, 192)(68, 164, 78, 174, 91, 187)(71, 167, 75, 171, 95, 191)(72, 168, 93, 189, 81, 177)(76, 172, 80, 176, 92, 188)(193, 194)(195, 201)(196, 204)(197, 206)(198, 208)(199, 211)(200, 213)(202, 218)(203, 220)(205, 225)(207, 231)(209, 237)(210, 239)(212, 242)(214, 246)(215, 234)(216, 233)(217, 251)(219, 230)(221, 259)(222, 260)(223, 263)(224, 264)(226, 265)(227, 266)(228, 250)(229, 268)(232, 247)(235, 248)(236, 256)(238, 245)(240, 272)(241, 280)(243, 281)(244, 283)(249, 285)(252, 261)(253, 287)(254, 270)(255, 275)(257, 282)(258, 279)(262, 277)(267, 276)(269, 286)(271, 288)(273, 278)(274, 284)(289, 291)(290, 294)(292, 301)(293, 303)(295, 308)(296, 310)(297, 311)(298, 315)(299, 317)(300, 318)(302, 324)(304, 330)(305, 334)(306, 319)(307, 336)(309, 322)(312, 338)(313, 348)(314, 349)(316, 335)(320, 351)(321, 331)(323, 363)(325, 358)(326, 365)(327, 366)(328, 360)(329, 368)(332, 369)(333, 367)(337, 371)(339, 378)(340, 375)(341, 345)(342, 380)(343, 376)(344, 356)(346, 350)(347, 352)(353, 379)(354, 377)(355, 359)(357, 374)(361, 370)(362, 373)(364, 372)(381, 384)(382, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1592
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.1587 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 97, 4, 100)(2, 98, 5, 101)(3, 99, 6, 102)(7, 103, 13, 109)(8, 104, 14, 110)(9, 105, 15, 111)(10, 106, 16, 112)(11, 107, 17, 113)(12, 108, 18, 114)(19, 115, 31, 127)(20, 116, 32, 128)(21, 117, 33, 129)(22, 118, 34, 130)(23, 119, 35, 131)(24, 120, 36, 132)(25, 121, 37, 133)(26, 122, 38, 134)(27, 123, 39, 135)(28, 124, 40, 136)(29, 125, 41, 137)(30, 126, 42, 138)(43, 139, 58, 154)(44, 140, 59, 155)(45, 141, 60, 156)(46, 142, 61, 157)(47, 143, 62, 158)(48, 144, 63, 159)(49, 145, 64, 160)(50, 146, 65, 161)(51, 147, 66, 162)(52, 148, 67, 163)(53, 149, 68, 164)(54, 150, 69, 165)(55, 151, 70, 166)(56, 152, 71, 167)(57, 153, 72, 168)(73, 169, 85, 181)(74, 170, 86, 182)(75, 171, 87, 183)(76, 172, 88, 184)(77, 173, 89, 185)(78, 174, 90, 186)(79, 175, 91, 187)(80, 176, 92, 188)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 95, 191)(84, 180, 96, 192)(193, 194, 195)(196, 199, 200)(197, 201, 202)(198, 203, 204)(205, 211, 212)(206, 213, 214)(207, 215, 216)(208, 217, 218)(209, 219, 220)(210, 221, 222)(223, 235, 236)(224, 229, 237)(225, 238, 232)(226, 239, 240)(227, 241, 242)(228, 233, 243)(230, 244, 245)(231, 246, 247)(234, 248, 249)(250, 264, 265)(251, 254, 266)(252, 267, 268)(253, 269, 270)(255, 271, 256)(257, 259, 272)(258, 273, 274)(260, 275, 261)(262, 263, 276)(277, 279, 286)(278, 288, 284)(280, 287, 281)(282, 283, 285)(289, 291, 290)(292, 296, 295)(293, 298, 297)(294, 300, 299)(301, 308, 307)(302, 310, 309)(303, 312, 311)(304, 314, 313)(305, 316, 315)(306, 318, 317)(319, 332, 331)(320, 333, 325)(321, 328, 334)(322, 336, 335)(323, 338, 337)(324, 339, 329)(326, 341, 340)(327, 343, 342)(330, 345, 344)(346, 361, 360)(347, 362, 350)(348, 364, 363)(349, 366, 365)(351, 352, 367)(353, 368, 355)(354, 370, 369)(356, 357, 371)(358, 372, 359)(373, 382, 375)(374, 380, 384)(376, 377, 383)(378, 381, 379)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1593
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1588 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 4, 100)(2, 98, 8, 104)(3, 99, 11, 107)(5, 101, 18, 114)(6, 102, 20, 116)(7, 103, 21, 117)(9, 105, 27, 123)(10, 106, 28, 124)(12, 108, 33, 129)(13, 109, 34, 130)(14, 110, 37, 133)(15, 111, 40, 136)(16, 112, 42, 138)(17, 113, 43, 139)(19, 115, 46, 142)(22, 118, 51, 147)(23, 119, 52, 148)(24, 120, 53, 149)(25, 121, 54, 150)(26, 122, 36, 132)(29, 125, 57, 153)(30, 126, 58, 154)(31, 127, 59, 155)(32, 128, 60, 156)(35, 131, 64, 160)(38, 134, 68, 164)(39, 135, 69, 165)(41, 137, 71, 167)(44, 140, 63, 159)(45, 141, 74, 170)(47, 143, 66, 162)(48, 144, 75, 171)(49, 145, 76, 172)(50, 146, 70, 166)(55, 151, 79, 175)(56, 152, 81, 177)(61, 157, 85, 181)(62, 158, 86, 182)(65, 161, 87, 183)(67, 163, 88, 184)(72, 168, 89, 185)(73, 169, 90, 186)(77, 173, 91, 187)(78, 174, 92, 188)(80, 176, 93, 189)(82, 178, 94, 190)(83, 179, 95, 191)(84, 180, 96, 192)(193, 194, 197)(195, 202, 204)(196, 205, 207)(198, 211, 199)(200, 214, 216)(201, 218, 209)(203, 221, 223)(206, 228, 230)(208, 233, 213)(210, 224, 237)(212, 239, 241)(215, 225, 242)(217, 240, 235)(219, 247, 222)(220, 231, 227)(226, 250, 254)(229, 257, 258)(232, 259, 262)(234, 251, 265)(236, 238, 248)(243, 256, 269)(244, 270, 271)(245, 272, 273)(246, 263, 274)(249, 267, 275)(252, 268, 276)(253, 260, 266)(255, 264, 261)(277, 287, 283)(278, 285, 286)(279, 281, 284)(280, 282, 288)(289, 291, 294)(290, 295, 297)(292, 302, 304)(293, 305, 298)(296, 311, 313)(299, 318, 320)(300, 314, 307)(301, 309, 323)(303, 327, 324)(306, 332, 317)(308, 336, 338)(310, 331, 337)(312, 335, 321)(315, 319, 344)(316, 329, 326)(322, 349, 351)(325, 339, 355)(328, 342, 353)(330, 360, 362)(333, 343, 334)(340, 348, 368)(341, 345, 366)(346, 357, 361)(347, 356, 350)(352, 354, 370)(358, 365, 359)(363, 369, 372)(364, 367, 371)(373, 376, 381)(374, 375, 383)(377, 382, 384)(378, 379, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1594
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1589 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y2 * Y3^-1 * Y1)^3, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 8, 104, 200, 296)(3, 99, 195, 291, 9, 105, 201, 297, 10, 106, 202, 298)(6, 102, 198, 294, 15, 111, 207, 303, 16, 112, 208, 304)(11, 107, 203, 299, 26, 122, 218, 314, 27, 123, 219, 315)(12, 108, 204, 300, 28, 124, 220, 316, 29, 125, 221, 317)(13, 109, 205, 301, 31, 127, 223, 319, 32, 128, 224, 320)(14, 110, 206, 302, 33, 129, 225, 321, 34, 130, 226, 322)(17, 113, 209, 305, 40, 136, 232, 328, 41, 137, 233, 329)(18, 114, 210, 306, 42, 138, 234, 330, 43, 139, 235, 331)(19, 115, 211, 307, 45, 141, 237, 333, 46, 142, 238, 334)(20, 116, 212, 308, 47, 143, 239, 335, 48, 144, 240, 336)(21, 117, 213, 309, 50, 146, 242, 338, 51, 147, 243, 339)(22, 118, 214, 310, 52, 148, 244, 340, 53, 149, 245, 341)(23, 119, 215, 311, 55, 151, 247, 343, 56, 152, 248, 344)(24, 120, 216, 312, 57, 153, 249, 345, 58, 154, 250, 346)(25, 121, 217, 313, 59, 155, 251, 347, 60, 156, 252, 348)(30, 126, 222, 318, 65, 161, 257, 353, 66, 162, 258, 354)(35, 131, 227, 323, 71, 167, 263, 359, 72, 168, 264, 360)(36, 132, 228, 324, 73, 169, 265, 361, 74, 170, 266, 362)(37, 133, 229, 325, 75, 171, 267, 363, 76, 172, 268, 364)(38, 134, 230, 326, 77, 173, 269, 365, 78, 174, 270, 366)(39, 135, 231, 327, 54, 150, 246, 342, 79, 175, 271, 367)(44, 140, 236, 332, 84, 180, 276, 372, 49, 145, 241, 337)(61, 157, 253, 349, 89, 185, 281, 377, 70, 166, 262, 358)(62, 158, 254, 350, 90, 186, 282, 378, 68, 164, 260, 356)(63, 159, 255, 351, 91, 187, 283, 379, 69, 165, 261, 357)(64, 160, 256, 352, 92, 188, 284, 380, 67, 163, 259, 355)(80, 176, 272, 368, 93, 189, 285, 381, 88, 184, 280, 376)(81, 177, 273, 369, 94, 190, 286, 382, 86, 182, 278, 374)(82, 178, 274, 370, 95, 191, 287, 383, 87, 183, 279, 375)(83, 179, 275, 371, 96, 192, 288, 384, 85, 181, 277, 373)
	L = (1, 98)(2, 97)(3, 102)(4, 107)(5, 109)(6, 99)(7, 113)(8, 115)(9, 117)(10, 119)(11, 100)(12, 121)(13, 101)(14, 126)(15, 131)(16, 133)(17, 103)(18, 135)(19, 104)(20, 140)(21, 105)(22, 145)(23, 106)(24, 150)(25, 108)(26, 154)(27, 157)(28, 152)(29, 159)(30, 110)(31, 163)(32, 148)(33, 165)(34, 146)(35, 111)(36, 162)(37, 112)(38, 155)(39, 114)(40, 174)(41, 176)(42, 172)(43, 178)(44, 116)(45, 181)(46, 169)(47, 183)(48, 167)(49, 118)(50, 130)(51, 179)(52, 128)(53, 177)(54, 120)(55, 184)(56, 124)(57, 182)(58, 122)(59, 134)(60, 180)(61, 123)(62, 170)(63, 125)(64, 168)(65, 175)(66, 132)(67, 127)(68, 173)(69, 129)(70, 171)(71, 144)(72, 160)(73, 142)(74, 158)(75, 166)(76, 138)(77, 164)(78, 136)(79, 161)(80, 137)(81, 149)(82, 139)(83, 147)(84, 156)(85, 141)(86, 153)(87, 143)(88, 151)(89, 189)(90, 191)(91, 190)(92, 192)(93, 185)(94, 187)(95, 186)(96, 188)(193, 291)(194, 294)(195, 289)(196, 300)(197, 302)(198, 290)(199, 306)(200, 308)(201, 310)(202, 312)(203, 313)(204, 292)(205, 318)(206, 293)(207, 324)(208, 326)(209, 327)(210, 295)(211, 332)(212, 296)(213, 337)(214, 297)(215, 342)(216, 298)(217, 299)(218, 336)(219, 350)(220, 334)(221, 352)(222, 301)(223, 356)(224, 330)(225, 358)(226, 328)(227, 354)(228, 303)(229, 347)(230, 304)(231, 305)(232, 322)(233, 369)(234, 320)(235, 371)(236, 307)(237, 374)(238, 316)(239, 376)(240, 314)(241, 309)(242, 366)(243, 370)(244, 364)(245, 368)(246, 311)(247, 375)(248, 361)(249, 373)(250, 359)(251, 325)(252, 367)(253, 362)(254, 315)(255, 360)(256, 317)(257, 372)(258, 323)(259, 365)(260, 319)(261, 363)(262, 321)(263, 346)(264, 351)(265, 344)(266, 349)(267, 357)(268, 340)(269, 355)(270, 338)(271, 348)(272, 341)(273, 329)(274, 339)(275, 331)(276, 353)(277, 345)(278, 333)(279, 343)(280, 335)(281, 384)(282, 382)(283, 383)(284, 381)(285, 380)(286, 378)(287, 379)(288, 377)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1583
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.1590 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1, Y3^3, R * Y1 * R * Y2, (R * Y3)^2, (Y1 * Y3 * Y1 * Y3^-1)^3, (Y1 * Y3^-1)^8, (Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1)^2 ]
Map::
	R = (1, 97, 193, 289, 3, 99, 195, 291, 4, 100, 196, 292)(2, 98, 194, 290, 5, 101, 197, 293, 6, 102, 198, 294)(7, 103, 199, 295, 11, 107, 203, 299, 12, 108, 204, 300)(8, 104, 200, 296, 13, 109, 205, 301, 14, 110, 206, 302)(9, 105, 201, 297, 15, 111, 207, 303, 16, 112, 208, 304)(10, 106, 202, 298, 17, 113, 209, 305, 18, 114, 210, 306)(19, 115, 211, 307, 27, 123, 219, 315, 28, 124, 220, 316)(20, 116, 212, 308, 29, 125, 221, 317, 30, 126, 222, 318)(21, 117, 213, 309, 31, 127, 223, 319, 32, 128, 224, 320)(22, 118, 214, 310, 33, 129, 225, 321, 34, 130, 226, 322)(23, 119, 215, 311, 35, 131, 227, 323, 36, 132, 228, 324)(24, 120, 216, 312, 37, 133, 229, 325, 38, 134, 230, 326)(25, 121, 217, 313, 39, 135, 231, 327, 40, 136, 232, 328)(26, 122, 218, 314, 41, 137, 233, 329, 42, 138, 234, 330)(43, 139, 235, 331, 55, 151, 247, 343, 56, 152, 248, 344)(44, 140, 236, 332, 47, 143, 239, 335, 57, 153, 249, 345)(45, 141, 237, 333, 58, 154, 250, 346, 59, 155, 251, 347)(46, 142, 238, 334, 60, 156, 252, 348, 61, 157, 253, 349)(48, 144, 240, 336, 62, 158, 254, 350, 63, 159, 255, 351)(49, 145, 241, 337, 64, 160, 256, 352, 65, 161, 257, 353)(50, 146, 242, 338, 53, 149, 245, 341, 66, 162, 258, 354)(51, 147, 243, 339, 67, 163, 259, 355, 68, 164, 260, 356)(52, 148, 244, 340, 69, 165, 261, 357, 70, 166, 262, 358)(54, 150, 246, 342, 71, 167, 263, 359, 72, 168, 264, 360)(73, 169, 265, 361, 75, 171, 267, 363, 87, 183, 279, 375)(74, 170, 266, 362, 88, 184, 280, 376, 89, 185, 281, 377)(76, 172, 268, 364, 90, 186, 282, 378, 77, 173, 269, 365)(78, 174, 270, 366, 79, 175, 271, 367, 91, 187, 283, 379)(80, 176, 272, 368, 82, 178, 274, 370, 92, 188, 284, 380)(81, 177, 273, 369, 93, 189, 285, 381, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383, 84, 180, 276, 372)(85, 181, 277, 373, 86, 182, 278, 374, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 104)(5, 105)(6, 106)(7, 99)(8, 100)(9, 101)(10, 102)(11, 115)(12, 116)(13, 117)(14, 118)(15, 119)(16, 120)(17, 121)(18, 122)(19, 107)(20, 108)(21, 109)(22, 110)(23, 111)(24, 112)(25, 113)(26, 114)(27, 139)(28, 140)(29, 133)(30, 141)(31, 142)(32, 136)(33, 143)(34, 144)(35, 145)(36, 146)(37, 125)(38, 147)(39, 148)(40, 128)(41, 149)(42, 150)(43, 123)(44, 124)(45, 126)(46, 127)(47, 129)(48, 130)(49, 131)(50, 132)(51, 134)(52, 135)(53, 137)(54, 138)(55, 168)(56, 169)(57, 170)(58, 171)(59, 172)(60, 173)(61, 174)(62, 175)(63, 160)(64, 159)(65, 176)(66, 177)(67, 178)(68, 179)(69, 180)(70, 181)(71, 182)(72, 151)(73, 152)(74, 153)(75, 154)(76, 155)(77, 156)(78, 157)(79, 158)(80, 161)(81, 162)(82, 163)(83, 164)(84, 165)(85, 166)(86, 167)(87, 190)(88, 192)(89, 188)(90, 191)(91, 189)(92, 185)(93, 187)(94, 183)(95, 186)(96, 184)(193, 290)(194, 289)(195, 295)(196, 296)(197, 297)(198, 298)(199, 291)(200, 292)(201, 293)(202, 294)(203, 307)(204, 308)(205, 309)(206, 310)(207, 311)(208, 312)(209, 313)(210, 314)(211, 299)(212, 300)(213, 301)(214, 302)(215, 303)(216, 304)(217, 305)(218, 306)(219, 331)(220, 332)(221, 325)(222, 333)(223, 334)(224, 328)(225, 335)(226, 336)(227, 337)(228, 338)(229, 317)(230, 339)(231, 340)(232, 320)(233, 341)(234, 342)(235, 315)(236, 316)(237, 318)(238, 319)(239, 321)(240, 322)(241, 323)(242, 324)(243, 326)(244, 327)(245, 329)(246, 330)(247, 360)(248, 361)(249, 362)(250, 363)(251, 364)(252, 365)(253, 366)(254, 367)(255, 352)(256, 351)(257, 368)(258, 369)(259, 370)(260, 371)(261, 372)(262, 373)(263, 374)(264, 343)(265, 344)(266, 345)(267, 346)(268, 347)(269, 348)(270, 349)(271, 350)(272, 353)(273, 354)(274, 355)(275, 356)(276, 357)(277, 358)(278, 359)(279, 382)(280, 384)(281, 380)(282, 383)(283, 381)(284, 377)(285, 379)(286, 375)(287, 378)(288, 376)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1584
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.1591 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y3^-1 * Y2 * Y3 * Y1, (Y1 * Y2)^4, Y3 * Y2 * Y3^-1 * Y1 * Y3^2 * Y2 * Y1 * Y3, (Y2 * Y1 * Y3)^3, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 11, 107, 203, 299)(6, 102, 198, 294, 15, 111, 207, 303, 16, 112, 208, 304)(9, 105, 201, 297, 20, 116, 212, 308, 21, 117, 213, 309)(12, 108, 204, 300, 13, 109, 205, 301, 25, 121, 217, 313)(14, 110, 206, 302, 28, 124, 220, 316, 29, 125, 221, 317)(17, 113, 209, 305, 18, 114, 210, 306, 33, 129, 225, 321)(19, 115, 211, 307, 35, 131, 227, 323, 36, 132, 228, 324)(22, 118, 214, 310, 23, 119, 215, 311, 40, 136, 232, 328)(24, 120, 216, 312, 43, 139, 235, 331, 44, 140, 236, 332)(26, 122, 218, 314, 45, 141, 237, 333, 47, 143, 239, 335)(27, 123, 219, 315, 48, 144, 240, 336, 49, 145, 241, 337)(30, 126, 222, 318, 31, 127, 223, 319, 53, 149, 245, 341)(32, 128, 224, 320, 41, 137, 233, 329, 55, 151, 247, 343)(34, 130, 226, 322, 56, 152, 248, 344, 58, 154, 250, 346)(37, 133, 229, 325, 38, 134, 230, 326, 61, 157, 253, 349)(39, 135, 231, 327, 64, 160, 256, 352, 65, 161, 257, 353)(42, 138, 234, 330, 67, 163, 259, 355, 68, 164, 260, 356)(46, 142, 238, 334, 69, 165, 261, 357, 70, 166, 262, 358)(50, 146, 242, 338, 51, 147, 243, 339, 73, 169, 265, 361)(52, 148, 244, 340, 76, 172, 268, 364, 77, 173, 269, 365)(54, 150, 246, 342, 66, 162, 258, 354, 78, 174, 270, 366)(57, 153, 249, 345, 79, 175, 271, 367, 80, 176, 272, 368)(59, 155, 251, 347, 60, 156, 252, 348, 82, 178, 274, 370)(62, 158, 254, 350, 83, 179, 275, 371, 85, 181, 277, 373)(63, 159, 255, 351, 86, 182, 278, 374, 87, 183, 279, 375)(71, 167, 263, 359, 72, 168, 264, 360, 91, 187, 283, 379)(74, 170, 266, 362, 92, 188, 284, 380, 81, 177, 273, 369)(75, 171, 267, 363, 93, 189, 285, 381, 94, 190, 286, 382)(84, 180, 276, 372, 95, 191, 287, 383, 96, 192, 288, 384)(88, 184, 280, 376, 89, 185, 281, 377, 90, 186, 282, 378)
	L = (1, 98)(2, 97)(3, 105)(4, 106)(5, 109)(6, 110)(7, 111)(8, 114)(9, 99)(10, 100)(11, 119)(12, 120)(13, 101)(14, 102)(15, 103)(16, 127)(17, 128)(18, 104)(19, 123)(20, 131)(21, 134)(22, 135)(23, 107)(24, 108)(25, 141)(26, 142)(27, 115)(28, 144)(29, 147)(30, 148)(31, 112)(32, 113)(33, 152)(34, 153)(35, 116)(36, 156)(37, 143)(38, 117)(39, 118)(40, 151)(41, 162)(42, 159)(43, 163)(44, 149)(45, 121)(46, 122)(47, 133)(48, 124)(49, 168)(50, 154)(51, 125)(52, 126)(53, 140)(54, 171)(55, 136)(56, 129)(57, 130)(58, 146)(59, 177)(60, 132)(61, 179)(62, 180)(63, 138)(64, 182)(65, 178)(66, 137)(67, 139)(68, 185)(69, 175)(70, 186)(71, 181)(72, 145)(73, 188)(74, 184)(75, 150)(76, 189)(77, 187)(78, 191)(79, 165)(80, 192)(81, 155)(82, 161)(83, 157)(84, 158)(85, 167)(86, 160)(87, 190)(88, 170)(89, 164)(90, 166)(91, 173)(92, 169)(93, 172)(94, 183)(95, 174)(96, 176)(193, 291)(194, 294)(195, 289)(196, 300)(197, 296)(198, 290)(199, 305)(200, 293)(201, 307)(202, 310)(203, 309)(204, 292)(205, 314)(206, 315)(207, 318)(208, 317)(209, 295)(210, 322)(211, 297)(212, 325)(213, 299)(214, 298)(215, 329)(216, 330)(217, 332)(218, 301)(219, 302)(220, 338)(221, 304)(222, 303)(223, 331)(224, 342)(225, 343)(226, 306)(227, 347)(228, 337)(229, 308)(230, 350)(231, 351)(232, 353)(233, 311)(234, 312)(235, 319)(236, 313)(237, 349)(238, 345)(239, 358)(240, 359)(241, 324)(242, 316)(243, 362)(244, 363)(245, 365)(246, 320)(247, 321)(248, 361)(249, 334)(250, 368)(251, 323)(252, 352)(253, 333)(254, 326)(255, 327)(256, 348)(257, 328)(258, 372)(259, 376)(260, 375)(261, 377)(262, 335)(263, 336)(264, 364)(265, 344)(266, 339)(267, 340)(268, 360)(269, 341)(270, 382)(271, 383)(272, 346)(273, 378)(274, 380)(275, 379)(276, 354)(277, 384)(278, 381)(279, 356)(280, 355)(281, 357)(282, 369)(283, 371)(284, 370)(285, 374)(286, 366)(287, 367)(288, 373)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1585
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.1592 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3, Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y2 * Y1)^4, Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1, (Y3 * Y1 * Y3^-1 * Y2)^2, (Y1 * Y3^-1 * Y2)^3, Y3 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 11, 107, 203, 299)(6, 102, 198, 294, 17, 113, 209, 305, 18, 114, 210, 306)(9, 105, 201, 297, 24, 120, 216, 312, 25, 121, 217, 313)(12, 108, 204, 300, 31, 127, 223, 319, 32, 128, 224, 320)(13, 109, 205, 301, 34, 130, 226, 322, 35, 131, 227, 323)(14, 110, 206, 302, 37, 133, 229, 325, 38, 134, 230, 326)(15, 111, 207, 303, 40, 136, 232, 328, 41, 137, 233, 329)(16, 112, 208, 304, 43, 139, 235, 331, 44, 140, 236, 332)(19, 115, 211, 307, 29, 125, 221, 317, 49, 145, 241, 337)(20, 116, 212, 308, 36, 132, 228, 324, 51, 147, 243, 339)(21, 117, 213, 309, 52, 148, 244, 340, 53, 149, 245, 341)(22, 118, 214, 310, 55, 151, 247, 343, 56, 152, 248, 344)(23, 119, 215, 311, 57, 153, 249, 345, 58, 154, 250, 346)(26, 122, 218, 314, 62, 158, 254, 350, 63, 159, 255, 351)(27, 123, 219, 315, 64, 160, 256, 352, 65, 161, 257, 353)(28, 124, 220, 316, 66, 162, 258, 354, 33, 129, 225, 321)(30, 126, 222, 318, 69, 165, 261, 357, 70, 166, 262, 358)(39, 135, 231, 327, 74, 170, 266, 362, 79, 175, 271, 367)(42, 138, 234, 330, 77, 173, 269, 365, 73, 169, 265, 361)(45, 141, 237, 333, 82, 178, 274, 370, 83, 179, 275, 371)(46, 142, 238, 334, 59, 155, 251, 347, 84, 180, 276, 372)(47, 143, 239, 335, 85, 181, 277, 373, 50, 146, 242, 338)(48, 144, 240, 336, 86, 182, 278, 374, 87, 183, 279, 375)(54, 150, 246, 342, 89, 185, 281, 377, 61, 157, 253, 349)(60, 156, 252, 348, 88, 184, 280, 376, 94, 190, 286, 382)(67, 163, 259, 355, 90, 186, 282, 378, 96, 192, 288, 384)(68, 164, 260, 356, 78, 174, 270, 366, 91, 187, 283, 379)(71, 167, 263, 359, 75, 171, 267, 363, 95, 191, 287, 383)(72, 168, 264, 360, 93, 189, 285, 381, 81, 177, 273, 369)(76, 172, 268, 364, 80, 176, 272, 368, 92, 188, 284, 380)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 110)(6, 112)(7, 115)(8, 117)(9, 99)(10, 122)(11, 124)(12, 100)(13, 129)(14, 101)(15, 135)(16, 102)(17, 141)(18, 143)(19, 103)(20, 146)(21, 104)(22, 150)(23, 138)(24, 137)(25, 155)(26, 106)(27, 134)(28, 107)(29, 163)(30, 164)(31, 167)(32, 168)(33, 109)(34, 169)(35, 170)(36, 154)(37, 172)(38, 123)(39, 111)(40, 151)(41, 120)(42, 119)(43, 152)(44, 160)(45, 113)(46, 149)(47, 114)(48, 176)(49, 184)(50, 116)(51, 185)(52, 187)(53, 142)(54, 118)(55, 136)(56, 139)(57, 189)(58, 132)(59, 121)(60, 165)(61, 191)(62, 174)(63, 179)(64, 140)(65, 186)(66, 183)(67, 125)(68, 126)(69, 156)(70, 181)(71, 127)(72, 128)(73, 130)(74, 131)(75, 180)(76, 133)(77, 190)(78, 158)(79, 192)(80, 144)(81, 182)(82, 188)(83, 159)(84, 171)(85, 166)(86, 177)(87, 162)(88, 145)(89, 147)(90, 161)(91, 148)(92, 178)(93, 153)(94, 173)(95, 157)(96, 175)(193, 291)(194, 294)(195, 289)(196, 301)(197, 303)(198, 290)(199, 308)(200, 310)(201, 311)(202, 315)(203, 317)(204, 318)(205, 292)(206, 324)(207, 293)(208, 330)(209, 334)(210, 319)(211, 336)(212, 295)(213, 322)(214, 296)(215, 297)(216, 338)(217, 348)(218, 349)(219, 298)(220, 335)(221, 299)(222, 300)(223, 306)(224, 351)(225, 331)(226, 309)(227, 363)(228, 302)(229, 358)(230, 365)(231, 366)(232, 360)(233, 368)(234, 304)(235, 321)(236, 369)(237, 367)(238, 305)(239, 316)(240, 307)(241, 371)(242, 312)(243, 378)(244, 375)(245, 345)(246, 380)(247, 376)(248, 356)(249, 341)(250, 350)(251, 352)(252, 313)(253, 314)(254, 346)(255, 320)(256, 347)(257, 379)(258, 377)(259, 359)(260, 344)(261, 374)(262, 325)(263, 355)(264, 328)(265, 370)(266, 373)(267, 323)(268, 372)(269, 326)(270, 327)(271, 333)(272, 329)(273, 332)(274, 361)(275, 337)(276, 364)(277, 362)(278, 357)(279, 340)(280, 343)(281, 354)(282, 339)(283, 353)(284, 342)(285, 384)(286, 383)(287, 382)(288, 381)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1586
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.1593 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 5, 101, 197, 293)(3, 99, 195, 291, 6, 102, 198, 294)(7, 103, 199, 295, 13, 109, 205, 301)(8, 104, 200, 296, 14, 110, 206, 302)(9, 105, 201, 297, 15, 111, 207, 303)(10, 106, 202, 298, 16, 112, 208, 304)(11, 107, 203, 299, 17, 113, 209, 305)(12, 108, 204, 300, 18, 114, 210, 306)(19, 115, 211, 307, 31, 127, 223, 319)(20, 116, 212, 308, 32, 128, 224, 320)(21, 117, 213, 309, 33, 129, 225, 321)(22, 118, 214, 310, 34, 130, 226, 322)(23, 119, 215, 311, 35, 131, 227, 323)(24, 120, 216, 312, 36, 132, 228, 324)(25, 121, 217, 313, 37, 133, 229, 325)(26, 122, 218, 314, 38, 134, 230, 326)(27, 123, 219, 315, 39, 135, 231, 327)(28, 124, 220, 316, 40, 136, 232, 328)(29, 125, 221, 317, 41, 137, 233, 329)(30, 126, 222, 318, 42, 138, 234, 330)(43, 139, 235, 331, 58, 154, 250, 346)(44, 140, 236, 332, 59, 155, 251, 347)(45, 141, 237, 333, 60, 156, 252, 348)(46, 142, 238, 334, 61, 157, 253, 349)(47, 143, 239, 335, 62, 158, 254, 350)(48, 144, 240, 336, 63, 159, 255, 351)(49, 145, 241, 337, 64, 160, 256, 352)(50, 146, 242, 338, 65, 161, 257, 353)(51, 147, 243, 339, 66, 162, 258, 354)(52, 148, 244, 340, 67, 163, 259, 355)(53, 149, 245, 341, 68, 164, 260, 356)(54, 150, 246, 342, 69, 165, 261, 357)(55, 151, 247, 343, 70, 166, 262, 358)(56, 152, 248, 344, 71, 167, 263, 359)(57, 153, 249, 345, 72, 168, 264, 360)(73, 169, 265, 361, 85, 181, 277, 373)(74, 170, 266, 362, 86, 182, 278, 374)(75, 171, 267, 363, 87, 183, 279, 375)(76, 172, 268, 364, 88, 184, 280, 376)(77, 173, 269, 365, 89, 185, 281, 377)(78, 174, 270, 366, 90, 186, 282, 378)(79, 175, 271, 367, 91, 187, 283, 379)(80, 176, 272, 368, 92, 188, 284, 380)(81, 177, 273, 369, 93, 189, 285, 381)(82, 178, 274, 370, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383)(84, 180, 276, 372, 96, 192, 288, 384)
	L = (1, 98)(2, 99)(3, 97)(4, 103)(5, 105)(6, 107)(7, 104)(8, 100)(9, 106)(10, 101)(11, 108)(12, 102)(13, 115)(14, 117)(15, 119)(16, 121)(17, 123)(18, 125)(19, 116)(20, 109)(21, 118)(22, 110)(23, 120)(24, 111)(25, 122)(26, 112)(27, 124)(28, 113)(29, 126)(30, 114)(31, 139)(32, 133)(33, 142)(34, 143)(35, 145)(36, 137)(37, 141)(38, 148)(39, 150)(40, 129)(41, 147)(42, 152)(43, 140)(44, 127)(45, 128)(46, 136)(47, 144)(48, 130)(49, 146)(50, 131)(51, 132)(52, 149)(53, 134)(54, 151)(55, 135)(56, 153)(57, 138)(58, 168)(59, 158)(60, 171)(61, 173)(62, 170)(63, 175)(64, 159)(65, 163)(66, 177)(67, 176)(68, 179)(69, 164)(70, 167)(71, 180)(72, 169)(73, 154)(74, 155)(75, 172)(76, 156)(77, 174)(78, 157)(79, 160)(80, 161)(81, 178)(82, 162)(83, 165)(84, 166)(85, 183)(86, 192)(87, 190)(88, 191)(89, 184)(90, 187)(91, 189)(92, 182)(93, 186)(94, 181)(95, 185)(96, 188)(193, 291)(194, 289)(195, 290)(196, 296)(197, 298)(198, 300)(199, 292)(200, 295)(201, 293)(202, 297)(203, 294)(204, 299)(205, 308)(206, 310)(207, 312)(208, 314)(209, 316)(210, 318)(211, 301)(212, 307)(213, 302)(214, 309)(215, 303)(216, 311)(217, 304)(218, 313)(219, 305)(220, 315)(221, 306)(222, 317)(223, 332)(224, 333)(225, 328)(226, 336)(227, 338)(228, 339)(229, 320)(230, 341)(231, 343)(232, 334)(233, 324)(234, 345)(235, 319)(236, 331)(237, 325)(238, 321)(239, 322)(240, 335)(241, 323)(242, 337)(243, 329)(244, 326)(245, 340)(246, 327)(247, 342)(248, 330)(249, 344)(250, 361)(251, 362)(252, 364)(253, 366)(254, 347)(255, 352)(256, 367)(257, 368)(258, 370)(259, 353)(260, 357)(261, 371)(262, 372)(263, 358)(264, 346)(265, 360)(266, 350)(267, 348)(268, 363)(269, 349)(270, 365)(271, 351)(272, 355)(273, 354)(274, 369)(275, 356)(276, 359)(277, 382)(278, 380)(279, 373)(280, 377)(281, 383)(282, 381)(283, 378)(284, 384)(285, 379)(286, 375)(287, 376)(288, 374)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1587
Transitivity :: VT+
Graph::
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1594 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, (Y1 * Y2)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y2 * Y1^-1)^3, Y3 * Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 8, 104, 200, 296)(3, 99, 195, 291, 11, 107, 203, 299)(5, 101, 197, 293, 18, 114, 210, 306)(6, 102, 198, 294, 20, 116, 212, 308)(7, 103, 199, 295, 21, 117, 213, 309)(9, 105, 201, 297, 27, 123, 219, 315)(10, 106, 202, 298, 28, 124, 220, 316)(12, 108, 204, 300, 33, 129, 225, 321)(13, 109, 205, 301, 34, 130, 226, 322)(14, 110, 206, 302, 37, 133, 229, 325)(15, 111, 207, 303, 40, 136, 232, 328)(16, 112, 208, 304, 42, 138, 234, 330)(17, 113, 209, 305, 43, 139, 235, 331)(19, 115, 211, 307, 46, 142, 238, 334)(22, 118, 214, 310, 51, 147, 243, 339)(23, 119, 215, 311, 52, 148, 244, 340)(24, 120, 216, 312, 53, 149, 245, 341)(25, 121, 217, 313, 54, 150, 246, 342)(26, 122, 218, 314, 36, 132, 228, 324)(29, 125, 221, 317, 57, 153, 249, 345)(30, 126, 222, 318, 58, 154, 250, 346)(31, 127, 223, 319, 59, 155, 251, 347)(32, 128, 224, 320, 60, 156, 252, 348)(35, 131, 227, 323, 64, 160, 256, 352)(38, 134, 230, 326, 68, 164, 260, 356)(39, 135, 231, 327, 69, 165, 261, 357)(41, 137, 233, 329, 71, 167, 263, 359)(44, 140, 236, 332, 63, 159, 255, 351)(45, 141, 237, 333, 74, 170, 266, 362)(47, 143, 239, 335, 66, 162, 258, 354)(48, 144, 240, 336, 75, 171, 267, 363)(49, 145, 241, 337, 76, 172, 268, 364)(50, 146, 242, 338, 70, 166, 262, 358)(55, 151, 247, 343, 79, 175, 271, 367)(56, 152, 248, 344, 81, 177, 273, 369)(61, 157, 253, 349, 85, 181, 277, 373)(62, 158, 254, 350, 86, 182, 278, 374)(65, 161, 257, 353, 87, 183, 279, 375)(67, 163, 259, 355, 88, 184, 280, 376)(72, 168, 264, 360, 89, 185, 281, 377)(73, 169, 265, 361, 90, 186, 282, 378)(77, 173, 269, 365, 91, 187, 283, 379)(78, 174, 270, 366, 92, 188, 284, 380)(80, 176, 272, 368, 93, 189, 285, 381)(82, 178, 274, 370, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383)(84, 180, 276, 372, 96, 192, 288, 384)
	L = (1, 98)(2, 101)(3, 106)(4, 109)(5, 97)(6, 115)(7, 102)(8, 118)(9, 122)(10, 108)(11, 125)(12, 99)(13, 111)(14, 132)(15, 100)(16, 137)(17, 105)(18, 128)(19, 103)(20, 143)(21, 112)(22, 120)(23, 129)(24, 104)(25, 144)(26, 113)(27, 151)(28, 135)(29, 127)(30, 123)(31, 107)(32, 141)(33, 146)(34, 154)(35, 124)(36, 134)(37, 161)(38, 110)(39, 131)(40, 163)(41, 117)(42, 155)(43, 121)(44, 142)(45, 114)(46, 152)(47, 145)(48, 139)(49, 116)(50, 119)(51, 160)(52, 174)(53, 176)(54, 167)(55, 126)(56, 140)(57, 171)(58, 158)(59, 169)(60, 172)(61, 164)(62, 130)(63, 168)(64, 173)(65, 162)(66, 133)(67, 166)(68, 170)(69, 159)(70, 136)(71, 178)(72, 165)(73, 138)(74, 157)(75, 179)(76, 180)(77, 147)(78, 175)(79, 148)(80, 177)(81, 149)(82, 150)(83, 153)(84, 156)(85, 191)(86, 189)(87, 185)(88, 186)(89, 188)(90, 192)(91, 181)(92, 183)(93, 190)(94, 182)(95, 187)(96, 184)(193, 291)(194, 295)(195, 294)(196, 302)(197, 305)(198, 289)(199, 297)(200, 311)(201, 290)(202, 293)(203, 318)(204, 314)(205, 309)(206, 304)(207, 327)(208, 292)(209, 298)(210, 332)(211, 300)(212, 336)(213, 323)(214, 331)(215, 313)(216, 335)(217, 296)(218, 307)(219, 319)(220, 329)(221, 306)(222, 320)(223, 344)(224, 299)(225, 312)(226, 349)(227, 301)(228, 303)(229, 339)(230, 316)(231, 324)(232, 342)(233, 326)(234, 360)(235, 337)(236, 317)(237, 343)(238, 333)(239, 321)(240, 338)(241, 310)(242, 308)(243, 355)(244, 348)(245, 345)(246, 353)(247, 334)(248, 315)(249, 366)(250, 357)(251, 356)(252, 368)(253, 351)(254, 347)(255, 322)(256, 354)(257, 328)(258, 370)(259, 325)(260, 350)(261, 361)(262, 365)(263, 358)(264, 362)(265, 346)(266, 330)(267, 369)(268, 367)(269, 359)(270, 341)(271, 371)(272, 340)(273, 372)(274, 352)(275, 364)(276, 363)(277, 376)(278, 375)(279, 383)(280, 381)(281, 382)(282, 379)(283, 380)(284, 378)(285, 373)(286, 384)(287, 374)(288, 377)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1588
Transitivity :: VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1595 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3 * Y2, (R * Y3)^2, (R * Y1)^2, (Y2 * R)^2, Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1)^3, (Y1 * Y2)^4, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 13, 109)(6, 102, 14, 110)(7, 103, 17, 113)(8, 104, 18, 114)(10, 106, 22, 118)(11, 107, 23, 119)(15, 111, 31, 127)(16, 112, 32, 128)(19, 115, 28, 124)(20, 116, 39, 135)(21, 117, 40, 136)(24, 120, 45, 141)(25, 121, 44, 140)(26, 122, 46, 142)(27, 123, 42, 138)(29, 125, 49, 145)(30, 126, 50, 146)(33, 129, 55, 151)(34, 130, 54, 150)(35, 131, 56, 152)(36, 132, 52, 148)(37, 133, 57, 153)(38, 134, 58, 154)(41, 137, 63, 159)(43, 139, 64, 160)(47, 143, 69, 165)(48, 144, 70, 166)(51, 147, 75, 171)(53, 149, 76, 172)(59, 155, 80, 176)(60, 156, 84, 180)(61, 157, 77, 173)(62, 158, 82, 178)(65, 161, 73, 169)(66, 162, 79, 175)(67, 163, 78, 174)(68, 164, 71, 167)(72, 168, 92, 188)(74, 170, 90, 186)(81, 177, 96, 192)(83, 179, 93, 189)(85, 181, 91, 187)(86, 182, 94, 190)(87, 183, 95, 191)(88, 184, 89, 185)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 202, 298)(197, 293, 203, 299)(199, 295, 207, 303)(200, 296, 208, 304)(201, 297, 211, 307)(204, 300, 216, 312)(205, 301, 218, 314)(206, 302, 220, 316)(209, 305, 225, 321)(210, 306, 227, 323)(212, 308, 229, 325)(213, 309, 230, 326)(214, 310, 233, 329)(215, 311, 235, 331)(217, 313, 228, 324)(219, 315, 226, 322)(221, 317, 239, 335)(222, 318, 240, 336)(223, 319, 243, 339)(224, 320, 245, 341)(231, 327, 251, 347)(232, 328, 253, 349)(234, 330, 254, 350)(236, 332, 252, 348)(237, 333, 255, 351)(238, 334, 256, 352)(241, 337, 263, 359)(242, 338, 265, 361)(244, 340, 266, 362)(246, 342, 264, 360)(247, 343, 267, 363)(248, 344, 268, 364)(249, 345, 273, 369)(250, 346, 275, 371)(257, 353, 277, 373)(258, 354, 278, 374)(259, 355, 279, 375)(260, 356, 280, 376)(261, 357, 281, 377)(262, 358, 283, 379)(269, 365, 285, 381)(270, 366, 286, 382)(271, 367, 287, 383)(272, 368, 288, 384)(274, 370, 284, 380)(276, 372, 282, 378)
	L = (1, 196)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 208)(8, 194)(9, 212)(10, 197)(11, 195)(12, 210)(13, 219)(14, 221)(15, 200)(16, 198)(17, 205)(18, 228)(19, 229)(20, 230)(21, 201)(22, 232)(23, 236)(24, 227)(25, 204)(26, 226)(27, 225)(28, 239)(29, 240)(30, 206)(31, 242)(32, 246)(33, 218)(34, 209)(35, 217)(36, 216)(37, 213)(38, 211)(39, 215)(40, 254)(41, 253)(42, 214)(43, 252)(44, 251)(45, 257)(46, 259)(47, 222)(48, 220)(49, 224)(50, 266)(51, 265)(52, 223)(53, 264)(54, 263)(55, 269)(56, 271)(57, 262)(58, 276)(59, 235)(60, 231)(61, 234)(62, 233)(63, 277)(64, 279)(65, 278)(66, 237)(67, 280)(68, 238)(69, 250)(70, 284)(71, 245)(72, 241)(73, 244)(74, 243)(75, 285)(76, 287)(77, 286)(78, 247)(79, 288)(80, 248)(81, 283)(82, 249)(83, 282)(84, 281)(85, 258)(86, 255)(87, 260)(88, 256)(89, 275)(90, 261)(91, 274)(92, 273)(93, 270)(94, 267)(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) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1608
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1596 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^-2 * Y1 * Y3 * Y1, Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y1 * Y3, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y2^-1 * Y3^-1 * Y1)^2, (Y3^-1 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 21, 117)(9, 105, 26, 122)(12, 108, 33, 129)(13, 109, 25, 121)(14, 110, 28, 124)(15, 111, 23, 119)(17, 113, 41, 137)(18, 114, 24, 120)(19, 115, 46, 142)(20, 116, 48, 144)(22, 118, 36, 132)(27, 123, 38, 134)(29, 125, 50, 146)(30, 126, 43, 139)(31, 127, 61, 157)(32, 128, 64, 160)(34, 130, 66, 162)(35, 131, 63, 159)(37, 133, 68, 164)(39, 135, 47, 143)(40, 136, 73, 169)(42, 138, 75, 171)(44, 140, 62, 158)(45, 141, 78, 174)(49, 145, 60, 156)(51, 147, 85, 181)(52, 148, 87, 183)(53, 149, 82, 178)(54, 150, 72, 168)(55, 151, 70, 166)(56, 152, 90, 186)(57, 153, 92, 188)(58, 154, 86, 182)(59, 155, 79, 175)(65, 161, 67, 163)(69, 165, 89, 185)(71, 167, 76, 172)(74, 170, 77, 173)(80, 176, 95, 191)(81, 177, 88, 184)(83, 179, 94, 190)(84, 180, 96, 192)(91, 187, 93, 189)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 207, 303)(198, 294, 211, 307, 212, 308)(200, 296, 216, 312, 217, 313)(202, 298, 221, 317, 222, 318)(203, 299, 223, 319, 224, 320)(204, 300, 226, 322, 227, 323)(205, 301, 228, 324, 229, 325)(208, 304, 231, 327, 232, 328)(209, 305, 234, 330, 235, 331)(210, 306, 236, 332, 237, 333)(213, 309, 243, 339, 244, 340)(214, 310, 245, 341, 246, 342)(215, 311, 225, 321, 247, 343)(218, 314, 241, 337, 248, 344)(219, 315, 249, 345, 240, 336)(220, 316, 250, 346, 251, 347)(230, 326, 263, 359, 264, 360)(233, 329, 268, 364, 255, 351)(238, 334, 272, 368, 273, 369)(239, 335, 274, 370, 275, 371)(242, 338, 276, 372, 259, 355)(252, 348, 258, 354, 286, 382)(253, 349, 287, 383, 278, 374)(254, 350, 277, 373, 288, 384)(256, 352, 261, 357, 284, 380)(257, 353, 285, 381, 260, 356)(262, 358, 280, 376, 269, 365)(265, 361, 271, 367, 283, 379)(266, 362, 282, 378, 270, 366)(267, 363, 279, 375, 281, 377)
	L = (1, 196)(2, 200)(3, 204)(4, 198)(5, 209)(6, 193)(7, 214)(8, 202)(9, 219)(10, 194)(11, 217)(12, 205)(13, 195)(14, 230)(15, 228)(16, 216)(17, 210)(18, 197)(19, 239)(20, 241)(21, 207)(22, 215)(23, 199)(24, 233)(25, 225)(26, 206)(27, 220)(28, 201)(29, 252)(30, 231)(31, 254)(32, 257)(33, 203)(34, 259)(35, 236)(36, 213)(37, 261)(38, 218)(39, 238)(40, 266)(41, 208)(42, 269)(43, 211)(44, 253)(45, 271)(46, 222)(47, 235)(48, 221)(49, 242)(50, 212)(51, 278)(52, 280)(53, 273)(54, 250)(55, 281)(56, 283)(57, 285)(58, 277)(59, 270)(60, 240)(61, 227)(62, 255)(63, 223)(64, 226)(65, 258)(66, 224)(67, 256)(68, 247)(69, 262)(70, 229)(71, 237)(72, 243)(73, 234)(74, 267)(75, 232)(76, 251)(77, 265)(78, 268)(79, 263)(80, 288)(81, 279)(82, 244)(83, 276)(84, 287)(85, 246)(86, 264)(87, 245)(88, 274)(89, 260)(90, 249)(91, 284)(92, 248)(93, 282)(94, 272)(95, 275)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1597 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3^-1)^2, Y3^4, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-2 * Y1 * Y3, (Y2^-1 * Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y2^-1)^3, Y2^-1 * R * Y2^-1 * Y3^-1 * Y2 * Y3 * Y2^-1 * R, Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 32, 128)(13, 109, 34, 130)(14, 110, 41, 137)(15, 111, 26, 122)(16, 112, 46, 142)(18, 114, 31, 127)(19, 115, 49, 145)(20, 116, 29, 125)(21, 117, 23, 119)(24, 120, 56, 152)(25, 121, 63, 159)(27, 123, 68, 164)(30, 126, 71, 167)(33, 129, 77, 173)(35, 131, 81, 177)(36, 132, 59, 155)(37, 133, 58, 154)(38, 134, 76, 172)(39, 135, 66, 162)(40, 136, 73, 169)(42, 138, 67, 163)(43, 139, 85, 181)(44, 140, 61, 157)(45, 141, 64, 160)(47, 143, 82, 178)(48, 144, 86, 182)(50, 146, 88, 184)(51, 147, 62, 158)(52, 148, 75, 171)(53, 149, 74, 170)(54, 150, 60, 156)(55, 151, 78, 174)(57, 153, 89, 185)(65, 161, 83, 179)(69, 165, 92, 188)(70, 166, 80, 176)(72, 168, 87, 183)(79, 175, 93, 189)(84, 180, 96, 192)(90, 186, 95, 191)(91, 187, 94, 190)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 227, 323)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 236, 332, 237, 333)(209, 305, 240, 336, 242, 338)(210, 306, 243, 339, 245, 341)(211, 307, 246, 342, 234, 330)(214, 310, 247, 343, 249, 345)(215, 311, 250, 346, 252, 348)(216, 312, 253, 349, 254, 350)(218, 314, 258, 354, 259, 355)(220, 316, 262, 358, 264, 360)(221, 317, 265, 361, 267, 363)(222, 318, 268, 364, 256, 352)(226, 322, 271, 367, 272, 368)(229, 325, 275, 371, 276, 372)(233, 329, 270, 366, 257, 353)(235, 331, 255, 351, 269, 365)(238, 334, 261, 357, 279, 375)(239, 335, 280, 376, 260, 356)(241, 337, 281, 377, 282, 378)(244, 340, 283, 379, 284, 380)(248, 344, 285, 381, 278, 374)(251, 347, 277, 373, 286, 382)(263, 359, 273, 369, 287, 383)(266, 362, 288, 384, 274, 370)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 226)(12, 229)(13, 195)(14, 234)(15, 198)(16, 231)(17, 241)(18, 244)(19, 197)(20, 220)(21, 214)(22, 248)(23, 251)(24, 199)(25, 256)(26, 202)(27, 253)(28, 263)(29, 266)(30, 201)(31, 209)(32, 203)(33, 265)(34, 250)(35, 258)(36, 213)(37, 205)(38, 246)(39, 273)(40, 269)(41, 277)(42, 278)(43, 206)(44, 260)(45, 255)(46, 274)(47, 208)(48, 259)(49, 267)(50, 252)(51, 232)(52, 211)(53, 212)(54, 280)(55, 243)(56, 228)(57, 236)(58, 224)(59, 216)(60, 268)(61, 281)(62, 270)(63, 275)(64, 272)(65, 217)(66, 238)(67, 233)(68, 284)(69, 219)(70, 237)(71, 245)(72, 230)(73, 254)(74, 222)(75, 223)(76, 279)(77, 247)(78, 225)(79, 288)(80, 257)(81, 239)(82, 227)(83, 262)(84, 285)(85, 240)(86, 235)(87, 242)(88, 264)(89, 261)(90, 286)(91, 287)(92, 249)(93, 283)(94, 271)(95, 276)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1598 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^2 * Y1 * Y3^-1 * Y1 * Y3, (Y2 * Y1 * Y3)^2, (Y2^-1 * Y1 * Y3)^2, (Y2^-1 * Y3^-1)^3, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1, Y3^-2 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^2 * Y2 * Y1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 35, 131)(13, 109, 27, 123)(14, 110, 30, 126)(15, 111, 26, 122)(16, 112, 24, 120)(18, 114, 46, 142)(19, 115, 25, 121)(20, 116, 51, 147)(21, 117, 53, 149)(23, 119, 57, 153)(29, 125, 68, 164)(31, 127, 73, 169)(32, 128, 75, 171)(33, 129, 77, 173)(34, 130, 79, 175)(36, 132, 64, 160)(37, 133, 61, 157)(38, 134, 72, 168)(39, 135, 59, 155)(40, 136, 69, 165)(41, 137, 70, 166)(42, 138, 58, 154)(43, 139, 71, 167)(44, 140, 85, 181)(45, 141, 87, 183)(47, 143, 62, 158)(48, 144, 63, 159)(49, 145, 65, 161)(50, 146, 60, 156)(52, 148, 86, 182)(54, 150, 80, 176)(55, 151, 78, 174)(56, 152, 89, 185)(66, 162, 82, 178)(67, 163, 88, 184)(74, 170, 83, 179)(76, 172, 92, 188)(81, 177, 93, 189)(84, 180, 96, 192)(90, 186, 95, 191)(91, 187, 94, 190)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 234, 330, 235, 331)(209, 305, 236, 332, 237, 333)(210, 306, 239, 335, 241, 337)(211, 307, 242, 338, 233, 329)(214, 310, 247, 343, 248, 344)(215, 311, 250, 346, 252, 348)(216, 312, 253, 349, 254, 350)(218, 314, 256, 352, 257, 353)(220, 316, 258, 354, 259, 355)(221, 317, 261, 357, 263, 359)(222, 318, 264, 360, 255, 351)(227, 323, 273, 369, 274, 370)(229, 325, 275, 371, 276, 372)(238, 334, 281, 377, 282, 378)(240, 336, 283, 379, 284, 380)(243, 339, 270, 366, 266, 362)(244, 340, 265, 361, 269, 365)(245, 341, 268, 364, 280, 376)(246, 342, 279, 375, 267, 363)(249, 345, 285, 381, 277, 373)(251, 347, 278, 374, 286, 382)(260, 356, 271, 367, 287, 383)(262, 358, 288, 384, 272, 368)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 219)(12, 229)(13, 195)(14, 233)(15, 198)(16, 231)(17, 217)(18, 240)(19, 197)(20, 244)(21, 246)(22, 208)(23, 251)(24, 199)(25, 255)(26, 202)(27, 253)(28, 206)(29, 262)(30, 201)(31, 266)(32, 268)(33, 270)(34, 272)(35, 203)(36, 213)(37, 205)(38, 242)(39, 249)(40, 259)(41, 260)(42, 248)(43, 258)(44, 278)(45, 280)(46, 209)(47, 232)(48, 211)(49, 212)(50, 247)(51, 257)(52, 277)(53, 256)(54, 271)(55, 269)(56, 284)(57, 214)(58, 224)(59, 216)(60, 264)(61, 227)(62, 237)(63, 238)(64, 226)(65, 236)(66, 275)(67, 279)(68, 220)(69, 254)(70, 222)(71, 223)(72, 225)(73, 235)(74, 274)(75, 234)(76, 281)(77, 230)(78, 252)(79, 228)(80, 245)(81, 286)(82, 263)(83, 265)(84, 287)(85, 241)(86, 243)(87, 239)(88, 261)(89, 250)(90, 288)(91, 285)(92, 267)(93, 276)(94, 282)(95, 283)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1599 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2 * Y1 * Y2^-1)^3, (Y1 * Y2^-1)^8, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 8, 104)(5, 101, 9, 105)(6, 102, 10, 106)(11, 107, 19, 115)(12, 108, 20, 116)(13, 109, 21, 117)(14, 110, 22, 118)(15, 111, 23, 119)(16, 112, 24, 120)(17, 113, 25, 121)(18, 114, 26, 122)(27, 123, 43, 139)(28, 124, 44, 140)(29, 125, 37, 133)(30, 126, 45, 141)(31, 127, 46, 142)(32, 128, 40, 136)(33, 129, 47, 143)(34, 130, 48, 144)(35, 131, 49, 145)(36, 132, 50, 146)(38, 134, 51, 147)(39, 135, 52, 148)(41, 137, 53, 149)(42, 138, 54, 150)(55, 151, 72, 168)(56, 152, 73, 169)(57, 153, 74, 170)(58, 154, 75, 171)(59, 155, 76, 172)(60, 156, 77, 173)(61, 157, 78, 174)(62, 158, 79, 175)(63, 159, 64, 160)(65, 161, 80, 176)(66, 162, 81, 177)(67, 163, 82, 178)(68, 164, 83, 179)(69, 165, 84, 180)(70, 166, 85, 181)(71, 167, 86, 182)(87, 183, 94, 190)(88, 184, 96, 192)(89, 185, 92, 188)(90, 186, 95, 191)(91, 187, 93, 189)(193, 289, 195, 291, 196, 292)(194, 290, 197, 293, 198, 294)(199, 295, 203, 299, 204, 300)(200, 296, 205, 301, 206, 302)(201, 297, 207, 303, 208, 304)(202, 298, 209, 305, 210, 306)(211, 307, 219, 315, 220, 316)(212, 308, 221, 317, 222, 318)(213, 309, 223, 319, 224, 320)(214, 310, 225, 321, 226, 322)(215, 311, 227, 323, 228, 324)(216, 312, 229, 325, 230, 326)(217, 313, 231, 327, 232, 328)(218, 314, 233, 329, 234, 330)(235, 331, 247, 343, 248, 344)(236, 332, 239, 335, 249, 345)(237, 333, 250, 346, 251, 347)(238, 334, 252, 348, 253, 349)(240, 336, 254, 350, 255, 351)(241, 337, 256, 352, 257, 353)(242, 338, 245, 341, 258, 354)(243, 339, 259, 355, 260, 356)(244, 340, 261, 357, 262, 358)(246, 342, 263, 359, 264, 360)(265, 361, 267, 363, 279, 375)(266, 362, 280, 376, 281, 377)(268, 364, 282, 378, 269, 365)(270, 366, 271, 367, 283, 379)(272, 368, 274, 370, 284, 380)(273, 369, 285, 381, 286, 382)(275, 371, 287, 383, 276, 372)(277, 373, 278, 374, 288, 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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1600 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, Y3, R^2, Y1^2, Y2^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^6, (Y1 * Y2 * Y1 * Y2^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 8, 104)(5, 101, 9, 105)(6, 102, 10, 106)(11, 107, 19, 115)(12, 108, 20, 116)(13, 109, 21, 117)(14, 110, 22, 118)(15, 111, 23, 119)(16, 112, 24, 120)(17, 113, 25, 121)(18, 114, 26, 122)(27, 123, 42, 138)(28, 124, 43, 139)(29, 125, 44, 140)(30, 126, 45, 141)(31, 127, 46, 142)(32, 128, 47, 143)(33, 129, 48, 144)(34, 130, 35, 131)(36, 132, 49, 145)(37, 133, 50, 146)(38, 134, 51, 147)(39, 135, 52, 148)(40, 136, 53, 149)(41, 137, 54, 150)(55, 151, 73, 169)(56, 152, 74, 170)(57, 153, 75, 171)(58, 154, 67, 163)(59, 155, 76, 172)(60, 156, 69, 165)(61, 157, 77, 173)(62, 158, 78, 174)(63, 159, 79, 175)(64, 160, 80, 176)(65, 161, 81, 177)(66, 162, 82, 178)(68, 164, 83, 179)(70, 166, 84, 180)(71, 167, 85, 181)(72, 168, 86, 182)(87, 183, 92, 188)(88, 184, 94, 190)(89, 185, 93, 189)(90, 186, 96, 192)(91, 187, 95, 191)(193, 289, 195, 291, 196, 292)(194, 290, 197, 293, 198, 294)(199, 295, 203, 299, 204, 300)(200, 296, 205, 301, 206, 302)(201, 297, 207, 303, 208, 304)(202, 298, 209, 305, 210, 306)(211, 307, 219, 315, 220, 316)(212, 308, 221, 317, 222, 318)(213, 309, 223, 319, 224, 320)(214, 310, 225, 321, 226, 322)(215, 311, 227, 323, 228, 324)(216, 312, 229, 325, 230, 326)(217, 313, 231, 327, 232, 328)(218, 314, 233, 329, 234, 330)(235, 331, 247, 343, 248, 344)(236, 332, 249, 345, 250, 346)(237, 333, 251, 347, 238, 334)(239, 335, 252, 348, 253, 349)(240, 336, 254, 350, 255, 351)(241, 337, 256, 352, 257, 353)(242, 338, 258, 354, 259, 355)(243, 339, 260, 356, 244, 340)(245, 341, 261, 357, 262, 358)(246, 342, 263, 359, 264, 360)(265, 361, 279, 375, 271, 367)(266, 362, 280, 376, 267, 363)(268, 364, 281, 377, 282, 378)(269, 365, 283, 379, 270, 366)(272, 368, 284, 380, 278, 374)(273, 369, 285, 381, 274, 370)(275, 371, 286, 382, 287, 383)(276, 372, 288, 384, 277, 373)
	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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1601 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^3, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3, Y2 * Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 22, 118)(11, 107, 26, 122)(12, 108, 28, 124)(14, 110, 30, 126)(16, 112, 34, 130)(17, 113, 38, 134)(18, 114, 40, 136)(20, 116, 42, 138)(21, 117, 45, 141)(23, 119, 49, 145)(24, 120, 51, 147)(25, 121, 44, 140)(27, 123, 52, 148)(29, 125, 56, 152)(31, 127, 60, 156)(32, 128, 37, 133)(33, 129, 61, 157)(35, 131, 65, 161)(36, 132, 67, 163)(39, 135, 68, 164)(41, 137, 72, 168)(43, 139, 76, 172)(46, 142, 75, 171)(47, 143, 71, 167)(48, 144, 77, 173)(50, 146, 79, 175)(53, 149, 81, 177)(54, 150, 80, 176)(55, 151, 63, 159)(57, 153, 82, 178)(58, 154, 84, 180)(59, 155, 62, 158)(64, 160, 85, 181)(66, 162, 87, 183)(69, 165, 89, 185)(70, 166, 88, 184)(73, 169, 90, 186)(74, 170, 92, 188)(78, 174, 86, 182)(83, 179, 91, 187)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 213, 309, 215, 311)(202, 298, 216, 312, 217, 313)(205, 301, 221, 317, 223, 319)(206, 302, 224, 320, 219, 315)(207, 303, 225, 321, 227, 323)(208, 304, 228, 324, 229, 325)(211, 307, 233, 329, 235, 331)(212, 308, 236, 332, 231, 327)(214, 310, 239, 335, 240, 336)(218, 314, 238, 334, 245, 341)(220, 316, 246, 342, 247, 343)(222, 318, 250, 346, 251, 347)(226, 322, 255, 351, 256, 352)(230, 326, 254, 350, 261, 357)(232, 328, 262, 358, 263, 359)(234, 330, 266, 362, 267, 363)(237, 333, 259, 355, 265, 361)(241, 337, 270, 366, 272, 368)(242, 338, 244, 340, 268, 364)(243, 339, 249, 345, 253, 349)(248, 344, 273, 369, 275, 371)(252, 348, 258, 354, 260, 356)(257, 353, 278, 374, 280, 376)(264, 360, 281, 377, 283, 379)(269, 365, 285, 381, 276, 372)(271, 367, 286, 382, 274, 370)(277, 373, 287, 383, 284, 380)(279, 375, 288, 384, 282, 378)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 214)(10, 195)(11, 219)(12, 216)(13, 222)(14, 197)(15, 226)(16, 198)(17, 231)(18, 228)(19, 234)(20, 200)(21, 238)(22, 201)(23, 242)(24, 204)(25, 224)(26, 244)(27, 203)(28, 243)(29, 249)(30, 205)(31, 247)(32, 217)(33, 254)(34, 207)(35, 258)(36, 210)(37, 236)(38, 260)(39, 209)(40, 259)(41, 265)(42, 211)(43, 263)(44, 229)(45, 267)(46, 213)(47, 268)(48, 245)(49, 271)(50, 215)(51, 220)(52, 218)(53, 240)(54, 250)(55, 223)(56, 274)(57, 221)(58, 246)(59, 253)(60, 255)(61, 251)(62, 225)(63, 252)(64, 261)(65, 279)(66, 227)(67, 232)(68, 230)(69, 256)(70, 266)(71, 235)(72, 282)(73, 233)(74, 262)(75, 237)(76, 239)(77, 273)(78, 275)(79, 241)(80, 276)(81, 269)(82, 248)(83, 270)(84, 272)(85, 281)(86, 283)(87, 257)(88, 284)(89, 277)(90, 264)(91, 278)(92, 280)(93, 286)(94, 285)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1602 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, (Y2^-1 * Y3)^3, (Y2^-1 * Y3 * Y2 * Y1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2, (Y2^-1 * Y1 * Y2 * Y3)^2, Y2 * Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 22, 118)(11, 107, 26, 122)(12, 108, 28, 124)(14, 110, 30, 126)(16, 112, 34, 130)(17, 113, 38, 134)(18, 114, 40, 136)(20, 116, 42, 138)(21, 117, 45, 141)(23, 119, 49, 145)(24, 120, 51, 147)(25, 121, 37, 133)(27, 123, 53, 149)(29, 125, 56, 152)(31, 127, 59, 155)(32, 128, 44, 140)(33, 129, 61, 157)(35, 131, 65, 161)(36, 132, 67, 163)(39, 135, 69, 165)(41, 137, 72, 168)(43, 139, 75, 171)(46, 142, 78, 174)(47, 143, 80, 176)(48, 144, 66, 162)(50, 146, 64, 160)(52, 148, 81, 177)(54, 150, 73, 169)(55, 151, 79, 175)(57, 153, 70, 166)(58, 154, 82, 178)(60, 156, 83, 179)(62, 158, 86, 182)(63, 159, 88, 184)(68, 164, 89, 185)(71, 167, 87, 183)(74, 170, 90, 186)(76, 172, 91, 187)(77, 173, 92, 188)(84, 180, 85, 181)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 213, 309, 215, 311)(202, 298, 216, 312, 217, 313)(205, 301, 221, 317, 223, 319)(206, 302, 224, 320, 219, 315)(207, 303, 225, 321, 227, 323)(208, 304, 228, 324, 229, 325)(211, 307, 233, 329, 235, 331)(212, 308, 236, 332, 231, 327)(214, 310, 239, 335, 240, 336)(218, 314, 244, 340, 242, 338)(220, 316, 246, 342, 247, 343)(222, 318, 249, 345, 250, 346)(226, 322, 255, 351, 256, 352)(230, 326, 260, 356, 258, 354)(232, 328, 262, 358, 263, 359)(234, 330, 265, 361, 266, 362)(237, 333, 269, 365, 271, 367)(238, 334, 257, 353, 245, 341)(241, 337, 261, 357, 254, 350)(243, 339, 264, 360, 252, 348)(248, 344, 268, 364, 259, 355)(251, 347, 273, 369, 276, 372)(253, 349, 277, 373, 279, 375)(267, 363, 281, 377, 284, 380)(270, 366, 285, 381, 275, 371)(272, 368, 286, 382, 274, 370)(278, 374, 287, 383, 283, 379)(280, 376, 288, 384, 282, 378)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 214)(10, 195)(11, 219)(12, 216)(13, 222)(14, 197)(15, 226)(16, 198)(17, 231)(18, 228)(19, 234)(20, 200)(21, 238)(22, 201)(23, 242)(24, 204)(25, 224)(26, 245)(27, 203)(28, 243)(29, 246)(30, 205)(31, 252)(32, 217)(33, 254)(34, 207)(35, 258)(36, 210)(37, 236)(38, 261)(39, 209)(40, 259)(41, 262)(42, 211)(43, 268)(44, 229)(45, 270)(46, 213)(47, 244)(48, 257)(49, 256)(50, 215)(51, 220)(52, 239)(53, 218)(54, 221)(55, 250)(56, 265)(57, 264)(58, 247)(59, 275)(60, 223)(61, 278)(62, 225)(63, 260)(64, 241)(65, 240)(66, 227)(67, 232)(68, 255)(69, 230)(70, 233)(71, 266)(72, 249)(73, 248)(74, 263)(75, 283)(76, 235)(77, 276)(78, 237)(79, 274)(80, 273)(81, 272)(82, 271)(83, 251)(84, 269)(85, 284)(86, 253)(87, 282)(88, 281)(89, 280)(90, 279)(91, 267)(92, 277)(93, 286)(94, 285)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1603 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 64>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^3, Y2^3, (R * Y3^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, Y1 * Y2^-1 * Y1 * Y3^-1 * Y2, (Y3 * Y2^-1)^3, Y3 * Y2 * Y3^-1 * R * Y2 * R, (Y2^-1 * R * Y2^-1 * Y1)^2, (Y3 * Y2)^4, R * Y2 * R * Y2^-1 * Y3^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 19, 115)(9, 105, 17, 113)(12, 108, 28, 124)(13, 109, 27, 123)(14, 110, 23, 119)(15, 111, 35, 131)(18, 114, 25, 121)(20, 116, 43, 139)(21, 117, 39, 135)(22, 118, 42, 138)(24, 120, 44, 140)(26, 122, 31, 127)(29, 125, 55, 151)(30, 126, 59, 155)(32, 128, 61, 157)(33, 129, 50, 146)(34, 130, 49, 145)(36, 132, 54, 150)(37, 133, 40, 136)(38, 134, 52, 148)(41, 137, 73, 169)(45, 141, 51, 147)(46, 142, 75, 171)(47, 143, 71, 167)(48, 144, 77, 173)(53, 149, 74, 170)(56, 152, 62, 158)(57, 153, 87, 183)(58, 154, 86, 182)(60, 156, 70, 166)(63, 159, 88, 184)(64, 160, 83, 179)(65, 161, 93, 189)(66, 162, 85, 181)(67, 163, 68, 164)(69, 165, 79, 175)(72, 168, 80, 176)(76, 172, 81, 177)(78, 174, 92, 188)(82, 178, 90, 186)(84, 180, 94, 190)(89, 185, 96, 192)(91, 187, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 207, 303)(198, 294, 211, 307, 212, 308)(200, 296, 215, 311, 216, 312)(202, 298, 203, 299, 218, 314)(204, 300, 221, 317, 222, 318)(205, 301, 223, 319, 224, 320)(208, 304, 229, 325, 220, 316)(209, 305, 230, 326, 231, 327)(210, 306, 232, 328, 233, 329)(213, 309, 238, 334, 239, 335)(214, 310, 235, 331, 240, 336)(217, 313, 244, 340, 245, 341)(219, 315, 247, 343, 248, 344)(225, 321, 256, 352, 257, 353)(226, 322, 236, 332, 258, 354)(227, 323, 259, 355, 242, 338)(228, 324, 260, 356, 261, 357)(234, 330, 267, 363, 268, 364)(237, 333, 269, 365, 249, 345)(241, 337, 275, 371, 276, 372)(243, 339, 277, 373, 278, 374)(246, 342, 253, 349, 270, 366)(250, 346, 254, 350, 281, 377)(251, 347, 274, 370, 279, 375)(252, 348, 282, 378, 283, 379)(255, 351, 284, 380, 263, 359)(262, 358, 265, 361, 285, 381)(264, 360, 266, 362, 286, 382)(271, 367, 273, 369, 287, 383)(272, 368, 280, 376, 288, 384)
	L = (1, 196)(2, 200)(3, 204)(4, 198)(5, 209)(6, 193)(7, 213)(8, 202)(9, 208)(10, 194)(11, 219)(12, 205)(13, 195)(14, 225)(15, 223)(16, 217)(17, 210)(18, 197)(19, 234)(20, 236)(21, 214)(22, 199)(23, 241)(24, 235)(25, 201)(26, 227)(27, 220)(28, 203)(29, 249)(30, 232)(31, 228)(32, 254)(33, 226)(34, 206)(35, 246)(36, 207)(37, 251)(38, 263)(39, 211)(40, 252)(41, 266)(42, 231)(43, 243)(44, 237)(45, 212)(46, 270)(47, 244)(48, 273)(49, 242)(50, 215)(51, 216)(52, 272)(53, 265)(54, 218)(55, 278)(56, 253)(57, 250)(58, 221)(59, 262)(60, 222)(61, 280)(62, 255)(63, 224)(64, 233)(65, 260)(66, 286)(67, 285)(68, 283)(69, 284)(70, 229)(71, 264)(72, 230)(73, 275)(74, 256)(75, 261)(76, 269)(77, 282)(78, 271)(79, 238)(80, 239)(81, 274)(82, 240)(83, 245)(84, 277)(85, 288)(86, 279)(87, 247)(88, 248)(89, 258)(90, 268)(91, 257)(92, 267)(93, 287)(94, 281)(95, 259)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1604 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y1 * Y3)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2 * Y3^-1 * Y1 * Y3 * Y2^-1 * Y1, (Y3 * Y2^-1)^3, Y2 * Y3 * Y1 * Y3^-1 * Y2^-1 * Y1, (Y3 * Y2^-1)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^3, Y2 * R * Y3 * Y1 * Y3^-1 * R * Y2^-1 * Y1, Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1, (Y2^-1 * Y3^-1 * Y2 * Y1)^2, Y1 * Y2 * R * Y1 * Y2 * Y3 * Y2 * R * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 23, 119)(13, 109, 24, 120)(14, 110, 39, 135)(15, 111, 26, 122)(16, 112, 27, 123)(18, 114, 46, 142)(19, 115, 44, 140)(20, 116, 51, 147)(21, 117, 32, 128)(25, 121, 60, 156)(29, 125, 65, 161)(30, 126, 64, 160)(31, 127, 70, 166)(33, 129, 48, 144)(34, 130, 55, 151)(35, 131, 72, 168)(36, 132, 59, 155)(37, 133, 63, 159)(38, 134, 57, 153)(40, 136, 71, 167)(41, 137, 68, 164)(42, 138, 80, 176)(43, 139, 58, 154)(45, 141, 85, 181)(47, 143, 69, 165)(49, 145, 62, 158)(50, 146, 66, 162)(52, 148, 61, 157)(53, 149, 56, 152)(54, 150, 67, 163)(73, 169, 93, 189)(74, 170, 92, 188)(75, 171, 91, 187)(76, 172, 84, 180)(77, 173, 79, 175)(78, 174, 88, 184)(81, 177, 86, 182)(82, 178, 87, 183)(83, 179, 95, 191)(89, 185, 94, 190)(90, 186, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 227, 323, 228, 324)(205, 301, 229, 325, 230, 326)(207, 303, 234, 330, 220, 316)(209, 305, 218, 314, 237, 333)(210, 306, 239, 335, 241, 337)(211, 307, 242, 338, 232, 328)(214, 310, 246, 342, 247, 343)(215, 311, 248, 344, 249, 345)(216, 312, 250, 346, 251, 347)(221, 317, 258, 354, 260, 356)(222, 318, 261, 357, 253, 349)(231, 327, 271, 367, 266, 362)(233, 329, 256, 352, 270, 366)(235, 331, 275, 371, 273, 369)(236, 332, 276, 372, 254, 350)(238, 334, 280, 376, 263, 359)(240, 336, 282, 378, 277, 373)(243, 339, 283, 379, 265, 361)(244, 340, 257, 353, 268, 364)(245, 341, 281, 377, 274, 370)(252, 348, 269, 365, 285, 381)(255, 351, 286, 382, 278, 374)(259, 355, 288, 384, 272, 368)(262, 358, 267, 363, 284, 380)(264, 360, 287, 383, 279, 375)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 216)(12, 214)(13, 195)(14, 232)(15, 198)(16, 229)(17, 236)(18, 240)(19, 197)(20, 244)(21, 245)(22, 205)(23, 203)(24, 199)(25, 253)(26, 202)(27, 250)(28, 256)(29, 259)(30, 201)(31, 263)(32, 264)(33, 238)(34, 265)(35, 213)(36, 242)(37, 269)(38, 270)(39, 260)(40, 262)(41, 206)(42, 273)(43, 208)(44, 225)(45, 278)(46, 209)(47, 230)(48, 211)(49, 212)(50, 275)(51, 254)(52, 252)(53, 267)(54, 257)(55, 284)(56, 224)(57, 261)(58, 271)(59, 276)(60, 241)(61, 243)(62, 217)(63, 219)(64, 246)(65, 220)(66, 251)(67, 222)(68, 223)(69, 286)(70, 233)(71, 231)(72, 283)(73, 288)(74, 226)(75, 227)(76, 228)(77, 235)(78, 281)(79, 255)(80, 279)(81, 277)(82, 234)(83, 268)(84, 287)(85, 274)(86, 272)(87, 237)(88, 249)(89, 239)(90, 285)(91, 248)(92, 282)(93, 247)(94, 280)(95, 258)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1607
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1605 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, Y2^-1 * Y3^2 * Y1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y3^-1)^3, (Y3 * Y2^-1)^3, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2^-1, Y3^-2 * Y1 * Y3^2 * Y1, (Y2 * Y3 * Y2^-1 * Y1)^2, Y1 * Y2 * R * Y2 * Y3 * Y1 * Y2 * R * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 35, 131)(13, 109, 34, 130)(14, 110, 25, 121)(15, 111, 26, 122)(16, 112, 44, 140)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 31, 127)(21, 117, 52, 148)(23, 119, 55, 151)(24, 120, 54, 150)(27, 123, 63, 159)(32, 128, 71, 167)(33, 129, 73, 169)(36, 132, 64, 160)(37, 133, 47, 143)(38, 134, 60, 156)(39, 135, 72, 168)(40, 136, 58, 154)(41, 137, 62, 158)(42, 138, 61, 157)(43, 139, 83, 179)(45, 141, 56, 152)(46, 142, 65, 161)(48, 144, 69, 165)(49, 145, 70, 166)(50, 146, 67, 163)(51, 147, 68, 164)(53, 149, 59, 155)(57, 153, 66, 162)(74, 170, 82, 178)(75, 171, 84, 180)(76, 172, 89, 185)(77, 173, 87, 183)(78, 174, 92, 188)(79, 175, 94, 190)(80, 176, 93, 189)(81, 177, 86, 182)(85, 181, 96, 192)(88, 184, 95, 191)(90, 186, 91, 187)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 218, 314)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 214, 310, 235, 331)(209, 305, 238, 334, 239, 335)(210, 306, 240, 336, 241, 337)(211, 307, 242, 338, 233, 329)(215, 311, 248, 344, 250, 346)(216, 312, 251, 347, 252, 348)(220, 316, 257, 353, 258, 354)(221, 317, 259, 355, 260, 356)(222, 318, 261, 357, 253, 349)(226, 322, 256, 352, 268, 364)(227, 323, 264, 360, 269, 365)(229, 325, 265, 361, 270, 366)(234, 330, 274, 370, 272, 368)(236, 332, 277, 373, 278, 374)(237, 333, 279, 375, 246, 342)(243, 339, 276, 372, 271, 367)(244, 340, 280, 376, 283, 379)(245, 341, 281, 377, 247, 343)(249, 345, 275, 371, 284, 380)(254, 350, 266, 362, 286, 382)(255, 351, 287, 383, 273, 369)(262, 358, 267, 363, 285, 381)(263, 359, 288, 384, 282, 378)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 226)(12, 229)(13, 195)(14, 233)(15, 198)(16, 231)(17, 222)(18, 220)(19, 197)(20, 243)(21, 245)(22, 246)(23, 249)(24, 199)(25, 253)(26, 202)(27, 251)(28, 211)(29, 209)(30, 201)(31, 262)(32, 264)(33, 266)(34, 239)(35, 203)(36, 213)(37, 205)(38, 242)(39, 263)(40, 272)(41, 273)(42, 206)(43, 274)(44, 248)(45, 208)(46, 280)(47, 227)(48, 232)(49, 212)(50, 279)(51, 282)(52, 256)(53, 255)(54, 258)(55, 214)(56, 224)(57, 216)(58, 261)(59, 244)(60, 286)(61, 278)(62, 217)(63, 228)(64, 219)(65, 288)(66, 247)(67, 252)(68, 223)(69, 268)(70, 283)(71, 237)(72, 236)(73, 276)(74, 275)(75, 225)(76, 285)(77, 259)(78, 287)(79, 230)(80, 281)(81, 234)(82, 265)(83, 267)(84, 235)(85, 238)(86, 254)(87, 271)(88, 284)(89, 240)(90, 241)(91, 260)(92, 277)(93, 250)(94, 269)(95, 257)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1606
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1606 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * R)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3^-1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2 * Y3 * Y2 * Y3^-2 * Y1 * Y2 * Y1, Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3 ]
Map:: polyhedral non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 31, 127)(13, 109, 34, 130)(14, 110, 41, 137)(15, 111, 26, 122)(16, 112, 46, 142)(18, 114, 32, 128)(19, 115, 49, 145)(20, 116, 23, 119)(21, 117, 29, 125)(24, 120, 56, 152)(25, 121, 63, 159)(27, 123, 68, 164)(30, 126, 71, 167)(33, 129, 77, 173)(35, 131, 81, 177)(36, 132, 74, 170)(37, 133, 75, 171)(38, 134, 62, 158)(39, 135, 67, 163)(40, 136, 60, 156)(42, 138, 66, 162)(43, 139, 85, 181)(44, 140, 64, 160)(45, 141, 61, 157)(47, 143, 78, 174)(48, 144, 88, 184)(50, 146, 86, 182)(51, 147, 76, 172)(52, 148, 58, 154)(53, 149, 59, 155)(54, 150, 73, 169)(55, 151, 79, 175)(57, 153, 87, 183)(65, 161, 92, 188)(69, 165, 83, 179)(70, 166, 82, 178)(72, 168, 90, 186)(80, 176, 95, 191)(84, 180, 94, 190)(89, 185, 93, 189)(91, 187, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 227, 323)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 236, 332, 237, 333)(209, 305, 240, 336, 242, 338)(210, 306, 243, 339, 245, 341)(211, 307, 246, 342, 234, 330)(214, 310, 247, 343, 249, 345)(215, 311, 250, 346, 252, 348)(216, 312, 253, 349, 254, 350)(218, 314, 258, 354, 259, 355)(220, 316, 262, 358, 264, 360)(221, 317, 265, 361, 267, 363)(222, 318, 268, 364, 256, 352)(226, 322, 271, 367, 272, 368)(229, 325, 275, 371, 276, 372)(233, 329, 261, 357, 274, 370)(235, 331, 260, 356, 273, 369)(238, 334, 279, 375, 257, 353)(239, 335, 280, 376, 255, 351)(241, 337, 281, 377, 282, 378)(244, 340, 283, 379, 284, 380)(248, 344, 269, 365, 285, 381)(251, 347, 270, 366, 286, 382)(263, 359, 287, 383, 278, 374)(266, 362, 288, 384, 277, 373)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 226)(12, 229)(13, 195)(14, 234)(15, 198)(16, 231)(17, 241)(18, 244)(19, 197)(20, 214)(21, 220)(22, 248)(23, 251)(24, 199)(25, 256)(26, 202)(27, 253)(28, 263)(29, 266)(30, 201)(31, 203)(32, 209)(33, 259)(34, 267)(35, 252)(36, 213)(37, 205)(38, 246)(39, 269)(40, 273)(41, 277)(42, 278)(43, 206)(44, 255)(45, 260)(46, 270)(47, 208)(48, 265)(49, 250)(50, 258)(51, 232)(52, 211)(53, 212)(54, 280)(55, 237)(56, 245)(57, 230)(58, 224)(59, 216)(60, 268)(61, 271)(62, 279)(63, 284)(64, 282)(65, 217)(66, 233)(67, 238)(68, 275)(69, 219)(70, 243)(71, 228)(72, 236)(73, 254)(74, 222)(75, 223)(76, 274)(77, 239)(78, 225)(79, 261)(80, 286)(81, 262)(82, 227)(83, 247)(84, 287)(85, 242)(86, 235)(87, 240)(88, 249)(89, 288)(90, 257)(91, 285)(92, 264)(93, 276)(94, 281)(95, 283)(96, 272)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1605
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1607 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, (Y3^-1 * Y1)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^3, Y3^-2 * Y1 * Y3^2 * Y1, (Y3^-1 * Y2)^3, (Y3^-1 * Y2)^3, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y1 * Y2^-1 * Y1, (Y2^-1 * Y3^-1)^3, (Y3, Y2^-1, Y3), (Y2 * Y3^-1 * Y2^-1 * Y1)^2, Y3^-2 * Y2^-1 * Y3 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 17, 113)(6, 102, 8, 104)(7, 103, 22, 118)(9, 105, 28, 124)(12, 108, 35, 131)(13, 109, 25, 121)(14, 110, 24, 120)(15, 111, 26, 122)(16, 112, 30, 126)(18, 114, 46, 142)(19, 115, 27, 123)(20, 116, 51, 147)(21, 117, 53, 149)(23, 119, 57, 153)(29, 125, 68, 164)(31, 127, 73, 169)(32, 128, 75, 171)(33, 129, 77, 173)(34, 130, 79, 175)(36, 132, 65, 161)(37, 133, 63, 159)(38, 134, 62, 158)(39, 135, 70, 166)(40, 136, 60, 156)(41, 137, 59, 155)(42, 138, 71, 167)(43, 139, 58, 154)(44, 140, 85, 181)(45, 141, 87, 183)(47, 143, 72, 168)(48, 144, 61, 157)(49, 145, 64, 160)(50, 146, 69, 165)(52, 148, 88, 184)(54, 150, 78, 174)(55, 151, 81, 177)(56, 152, 86, 182)(66, 162, 80, 176)(67, 163, 90, 186)(74, 170, 92, 188)(76, 172, 83, 179)(82, 178, 95, 191)(84, 180, 94, 190)(89, 185, 93, 189)(91, 187, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 208, 304)(198, 294, 212, 308, 213, 309)(200, 296, 217, 313, 219, 315)(202, 298, 223, 319, 224, 320)(203, 299, 225, 321, 226, 322)(204, 300, 228, 324, 230, 326)(205, 301, 231, 327, 232, 328)(207, 303, 234, 330, 235, 331)(209, 305, 236, 332, 237, 333)(210, 306, 239, 335, 241, 337)(211, 307, 242, 338, 233, 329)(214, 310, 247, 343, 248, 344)(215, 311, 250, 346, 252, 348)(216, 312, 253, 349, 254, 350)(218, 314, 256, 352, 257, 353)(220, 316, 258, 354, 259, 355)(221, 317, 261, 357, 263, 359)(222, 318, 264, 360, 255, 351)(227, 323, 273, 369, 274, 370)(229, 325, 275, 371, 276, 372)(238, 334, 281, 377, 282, 378)(240, 336, 283, 379, 284, 380)(243, 339, 268, 364, 272, 368)(244, 340, 267, 363, 271, 367)(245, 341, 278, 374, 266, 362)(246, 342, 277, 373, 265, 361)(249, 345, 269, 365, 285, 381)(251, 347, 270, 366, 286, 382)(260, 356, 287, 383, 279, 375)(262, 358, 288, 384, 280, 376)
	L = (1, 196)(2, 200)(3, 204)(4, 207)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 217)(12, 229)(13, 195)(14, 233)(15, 198)(16, 231)(17, 219)(18, 240)(19, 197)(20, 244)(21, 246)(22, 206)(23, 251)(24, 199)(25, 255)(26, 202)(27, 253)(28, 208)(29, 262)(30, 201)(31, 266)(32, 268)(33, 270)(34, 272)(35, 203)(36, 213)(37, 205)(38, 242)(39, 260)(40, 248)(41, 249)(42, 259)(43, 247)(44, 278)(45, 280)(46, 209)(47, 232)(48, 211)(49, 212)(50, 258)(51, 256)(52, 279)(53, 257)(54, 269)(55, 275)(56, 277)(57, 214)(58, 224)(59, 216)(60, 264)(61, 238)(62, 226)(63, 227)(64, 237)(65, 225)(66, 271)(67, 284)(68, 220)(69, 254)(70, 222)(71, 223)(72, 236)(73, 234)(74, 282)(75, 235)(76, 273)(77, 228)(78, 245)(79, 230)(80, 261)(81, 250)(82, 288)(83, 267)(84, 285)(85, 239)(86, 252)(87, 241)(88, 243)(89, 286)(90, 263)(91, 287)(92, 265)(93, 283)(94, 274)(95, 276)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1604
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1608 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y2^3, Y2 * Y3^2, Y1^3, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y2 * Y1^-1)^3, (Y1 * Y2 * Y1 * Y3)^2, (Y1^-1 * Y2^-1)^4, Y3 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 5, 101)(3, 99, 12, 108, 13, 109)(4, 100, 15, 111, 16, 112)(6, 102, 20, 116, 21, 117)(7, 103, 22, 118, 9, 105)(8, 104, 23, 119, 24, 120)(10, 106, 26, 122, 27, 123)(11, 107, 28, 124, 18, 114)(14, 110, 35, 131, 30, 126)(17, 113, 40, 136, 38, 134)(19, 115, 41, 137, 42, 138)(25, 121, 54, 150, 49, 145)(29, 125, 59, 155, 60, 156)(31, 127, 44, 140, 62, 158)(32, 128, 63, 159, 33, 129)(34, 130, 64, 160, 65, 161)(36, 132, 67, 163, 68, 164)(37, 133, 69, 165, 45, 141)(39, 135, 70, 166, 71, 167)(43, 139, 76, 172, 77, 173)(46, 142, 78, 174, 48, 144)(47, 143, 79, 175, 56, 152)(50, 146, 55, 151, 81, 177)(51, 147, 82, 178, 52, 148)(53, 149, 83, 179, 84, 180)(57, 153, 86, 182, 72, 168)(58, 154, 87, 183, 75, 171)(61, 157, 89, 185, 88, 184)(66, 162, 80, 176, 91, 187)(73, 169, 74, 170, 90, 186)(85, 181, 94, 190, 96, 192)(92, 188, 95, 191, 93, 189)(193, 289, 195, 291, 198, 294)(194, 290, 200, 296, 202, 298)(196, 292, 199, 295, 206, 302)(197, 293, 209, 305, 211, 307)(201, 297, 203, 299, 217, 313)(204, 300, 221, 317, 223, 319)(205, 301, 218, 314, 226, 322)(207, 303, 228, 324, 210, 306)(208, 304, 229, 325, 231, 327)(212, 308, 235, 331, 230, 326)(213, 309, 236, 332, 238, 334)(214, 310, 239, 335, 225, 321)(215, 311, 240, 336, 242, 338)(216, 312, 233, 329, 245, 341)(219, 315, 247, 343, 249, 345)(220, 316, 250, 346, 244, 340)(222, 318, 224, 320, 253, 349)(227, 323, 258, 354, 237, 333)(232, 328, 264, 360, 265, 361)(234, 330, 266, 362, 251, 347)(241, 337, 243, 339, 272, 368)(246, 342, 277, 373, 248, 344)(252, 348, 256, 352, 276, 372)(254, 350, 282, 378, 273, 369)(255, 351, 284, 380, 279, 375)(257, 353, 278, 374, 268, 364)(259, 355, 280, 376, 267, 363)(260, 356, 262, 358, 286, 382)(261, 357, 274, 370, 287, 383)(263, 359, 285, 381, 271, 367)(269, 365, 270, 366, 275, 371)(281, 377, 288, 384, 283, 379)
	L = (1, 196)(2, 201)(3, 199)(4, 198)(5, 210)(6, 206)(7, 193)(8, 203)(9, 202)(10, 217)(11, 194)(12, 222)(13, 225)(14, 195)(15, 197)(16, 230)(17, 207)(18, 211)(19, 228)(20, 208)(21, 237)(22, 205)(23, 241)(24, 244)(25, 200)(26, 214)(27, 248)(28, 216)(29, 224)(30, 223)(31, 253)(32, 204)(33, 226)(34, 239)(35, 213)(36, 209)(37, 212)(38, 231)(39, 235)(40, 260)(41, 220)(42, 267)(43, 229)(44, 227)(45, 238)(46, 258)(47, 218)(48, 243)(49, 242)(50, 272)(51, 215)(52, 245)(53, 250)(54, 219)(55, 246)(56, 249)(57, 277)(58, 233)(59, 280)(60, 279)(61, 221)(62, 283)(63, 252)(64, 255)(65, 285)(66, 236)(67, 234)(68, 265)(69, 269)(70, 232)(71, 278)(72, 262)(73, 286)(74, 259)(75, 251)(76, 263)(77, 287)(78, 261)(79, 257)(80, 240)(81, 288)(82, 270)(83, 274)(84, 284)(85, 247)(86, 271)(87, 276)(88, 266)(89, 254)(90, 281)(91, 273)(92, 256)(93, 268)(94, 264)(95, 275)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1595
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.1609 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 97, 4, 100)(2, 98, 5, 101)(3, 99, 6, 102)(7, 103, 13, 109)(8, 104, 14, 110)(9, 105, 15, 111)(10, 106, 16, 112)(11, 107, 17, 113)(12, 108, 18, 114)(19, 115, 31, 127)(20, 116, 32, 128)(21, 117, 33, 129)(22, 118, 34, 130)(23, 119, 35, 131)(24, 120, 36, 132)(25, 121, 37, 133)(26, 122, 38, 134)(27, 123, 39, 135)(28, 124, 40, 136)(29, 125, 41, 137)(30, 126, 42, 138)(43, 139, 58, 154)(44, 140, 59, 155)(45, 141, 60, 156)(46, 142, 61, 157)(47, 143, 62, 158)(48, 144, 63, 159)(49, 145, 64, 160)(50, 146, 65, 161)(51, 147, 66, 162)(52, 148, 67, 163)(53, 149, 68, 164)(54, 150, 69, 165)(55, 151, 70, 166)(56, 152, 71, 167)(57, 153, 72, 168)(73, 169, 85, 181)(74, 170, 86, 182)(75, 171, 87, 183)(76, 172, 88, 184)(77, 173, 89, 185)(78, 174, 90, 186)(79, 175, 91, 187)(80, 176, 92, 188)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 95, 191)(84, 180, 96, 192)(193, 194, 195)(196, 199, 200)(197, 201, 202)(198, 203, 204)(205, 211, 212)(206, 213, 214)(207, 215, 216)(208, 217, 218)(209, 219, 220)(210, 221, 222)(223, 234, 235)(224, 236, 237)(225, 238, 239)(226, 240, 227)(228, 241, 242)(229, 243, 244)(230, 245, 231)(232, 246, 247)(233, 248, 249)(250, 265, 266)(251, 267, 259)(252, 268, 253)(254, 261, 269)(255, 270, 271)(256, 272, 264)(257, 273, 258)(260, 274, 275)(262, 276, 263)(277, 284, 283)(278, 286, 279)(280, 285, 288)(281, 287, 282)(289, 291, 290)(292, 296, 295)(293, 298, 297)(294, 300, 299)(301, 308, 307)(302, 310, 309)(303, 312, 311)(304, 314, 313)(305, 316, 315)(306, 318, 317)(319, 331, 330)(320, 333, 332)(321, 335, 334)(322, 323, 336)(324, 338, 337)(325, 340, 339)(326, 327, 341)(328, 343, 342)(329, 345, 344)(346, 362, 361)(347, 355, 363)(348, 349, 364)(350, 365, 357)(351, 367, 366)(352, 360, 368)(353, 354, 369)(356, 371, 370)(358, 359, 372)(373, 379, 380)(374, 375, 382)(376, 384, 381)(377, 378, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1613
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1610 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1 * Y2)^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2 * Y1)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y1 * Y2^-1)^3, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 4, 100)(2, 98, 8, 104)(3, 99, 11, 107)(5, 101, 18, 114)(6, 102, 20, 116)(7, 103, 21, 117)(9, 105, 27, 123)(10, 106, 28, 124)(12, 108, 33, 129)(13, 109, 34, 130)(14, 110, 36, 132)(15, 111, 39, 135)(16, 112, 41, 137)(17, 113, 42, 138)(19, 115, 45, 141)(22, 118, 48, 144)(23, 119, 50, 146)(24, 120, 51, 147)(25, 121, 53, 149)(26, 122, 54, 150)(29, 125, 57, 153)(30, 126, 58, 154)(31, 127, 59, 155)(32, 128, 60, 156)(35, 131, 65, 161)(37, 133, 70, 166)(38, 134, 71, 167)(40, 136, 74, 170)(43, 139, 77, 173)(44, 140, 78, 174)(46, 142, 79, 175)(47, 143, 80, 176)(49, 145, 62, 158)(52, 148, 63, 159)(55, 151, 66, 162)(56, 152, 69, 165)(61, 157, 85, 181)(64, 160, 86, 182)(67, 163, 87, 183)(68, 164, 88, 184)(72, 168, 89, 185)(73, 169, 90, 186)(75, 171, 91, 187)(76, 172, 92, 188)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 95, 191)(84, 180, 96, 192)(193, 194, 197)(195, 202, 204)(196, 205, 207)(198, 211, 199)(200, 214, 216)(201, 218, 209)(203, 221, 223)(206, 220, 229)(208, 232, 213)(210, 224, 236)(212, 238, 215)(217, 244, 234)(219, 247, 235)(222, 237, 248)(225, 239, 241)(226, 253, 255)(227, 246, 230)(228, 258, 260)(231, 261, 265)(233, 267, 254)(240, 273, 251)(242, 262, 268)(243, 263, 256)(245, 275, 250)(249, 264, 257)(252, 259, 266)(269, 271, 276)(270, 272, 274)(277, 286, 280)(278, 288, 279)(281, 283, 287)(282, 284, 285)(289, 291, 294)(290, 295, 297)(292, 302, 304)(293, 305, 298)(296, 311, 313)(299, 318, 320)(300, 314, 307)(301, 309, 323)(303, 326, 316)(306, 331, 317)(308, 312, 335)(310, 330, 337)(315, 332, 344)(319, 343, 333)(321, 340, 334)(322, 350, 352)(324, 355, 357)(325, 342, 328)(327, 360, 354)(329, 351, 364)(336, 346, 370)(338, 349, 359)(339, 363, 358)(341, 347, 372)(345, 362, 356)(348, 353, 361)(365, 369, 368)(366, 371, 367)(373, 375, 381)(374, 376, 383)(377, 382, 380)(378, 384, 379)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1616
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1611 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y1 * Y2^-1)^3, (Y3 * Y2 * Y1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 4, 100)(2, 98, 8, 104)(3, 99, 11, 107)(5, 101, 18, 114)(6, 102, 20, 116)(7, 103, 21, 117)(9, 105, 27, 123)(10, 106, 28, 124)(12, 108, 33, 129)(13, 109, 34, 130)(14, 110, 36, 132)(15, 111, 39, 135)(16, 112, 41, 137)(17, 113, 42, 138)(19, 115, 45, 141)(22, 118, 48, 144)(23, 119, 50, 146)(24, 120, 51, 147)(25, 121, 53, 149)(26, 122, 54, 150)(29, 125, 57, 153)(30, 126, 58, 154)(31, 127, 59, 155)(32, 128, 60, 156)(35, 131, 65, 161)(37, 133, 70, 166)(38, 134, 71, 167)(40, 136, 74, 170)(43, 139, 77, 173)(44, 140, 78, 174)(46, 142, 79, 175)(47, 143, 80, 176)(49, 145, 63, 159)(52, 148, 62, 158)(55, 151, 69, 165)(56, 152, 66, 162)(61, 157, 85, 181)(64, 160, 86, 182)(67, 163, 87, 183)(68, 164, 88, 184)(72, 168, 89, 185)(73, 169, 90, 186)(75, 171, 91, 187)(76, 172, 92, 188)(81, 177, 93, 189)(82, 178, 94, 190)(83, 179, 95, 191)(84, 180, 96, 192)(193, 194, 197)(195, 202, 204)(196, 205, 207)(198, 211, 199)(200, 214, 216)(201, 218, 209)(203, 221, 223)(206, 220, 229)(208, 232, 213)(210, 224, 236)(212, 238, 215)(217, 244, 234)(219, 247, 235)(222, 237, 248)(225, 239, 241)(226, 253, 255)(227, 246, 230)(228, 258, 260)(231, 261, 265)(233, 267, 254)(240, 273, 250)(242, 263, 256)(243, 262, 268)(245, 275, 251)(249, 259, 266)(252, 264, 257)(269, 272, 274)(270, 271, 276)(277, 288, 279)(278, 286, 280)(281, 284, 287)(282, 283, 285)(289, 291, 294)(290, 295, 297)(292, 302, 304)(293, 305, 298)(296, 311, 313)(299, 318, 320)(300, 314, 307)(301, 309, 323)(303, 326, 316)(306, 331, 317)(308, 312, 335)(310, 330, 337)(315, 332, 344)(319, 343, 333)(321, 340, 334)(322, 350, 352)(324, 355, 357)(325, 342, 328)(327, 360, 354)(329, 351, 364)(336, 347, 370)(338, 363, 358)(339, 349, 359)(341, 346, 372)(345, 353, 361)(348, 362, 356)(365, 371, 367)(366, 369, 368)(373, 376, 383)(374, 375, 381)(377, 382, 379)(378, 384, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1615
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1612 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y3 * Y1^-1)^2, (Y2 * Y3 * Y1)^2, (Y1 * Y2^-1)^3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 4, 100)(2, 98, 8, 104)(3, 99, 11, 107)(5, 101, 18, 114)(6, 102, 20, 116)(7, 103, 21, 117)(9, 105, 27, 123)(10, 106, 28, 124)(12, 108, 33, 129)(13, 109, 34, 130)(14, 110, 36, 132)(15, 111, 39, 135)(16, 112, 41, 137)(17, 113, 42, 138)(19, 115, 45, 141)(22, 118, 48, 144)(23, 119, 50, 146)(24, 120, 51, 147)(25, 121, 53, 149)(26, 122, 54, 150)(29, 125, 57, 153)(30, 126, 58, 154)(31, 127, 59, 155)(32, 128, 60, 156)(35, 131, 63, 159)(37, 133, 66, 162)(38, 134, 67, 163)(40, 136, 70, 166)(43, 139, 73, 169)(44, 140, 74, 170)(46, 142, 75, 171)(47, 143, 76, 172)(49, 145, 79, 175)(52, 148, 80, 176)(55, 151, 83, 179)(56, 152, 84, 180)(61, 157, 85, 181)(62, 158, 86, 182)(64, 160, 87, 183)(65, 161, 88, 184)(68, 164, 89, 185)(69, 165, 90, 186)(71, 167, 91, 187)(72, 168, 92, 188)(77, 173, 93, 189)(78, 174, 94, 190)(81, 177, 95, 191)(82, 178, 96, 192)(193, 194, 197)(195, 202, 204)(196, 205, 207)(198, 211, 199)(200, 214, 216)(201, 218, 209)(203, 221, 223)(206, 220, 229)(208, 232, 213)(210, 224, 236)(212, 238, 215)(217, 244, 234)(219, 247, 235)(222, 237, 248)(225, 239, 241)(226, 253, 242)(227, 246, 230)(228, 252, 257)(231, 249, 261)(233, 263, 243)(240, 269, 265)(245, 273, 266)(250, 268, 270)(251, 267, 274)(254, 271, 259)(255, 276, 260)(256, 262, 275)(258, 264, 272)(277, 287, 281)(278, 285, 282)(279, 284, 288)(280, 283, 286)(289, 291, 294)(290, 295, 297)(292, 302, 304)(293, 305, 298)(296, 311, 313)(299, 318, 320)(300, 314, 307)(301, 309, 323)(303, 326, 316)(306, 331, 317)(308, 312, 335)(310, 330, 337)(315, 332, 344)(319, 343, 333)(321, 340, 334)(322, 339, 350)(324, 352, 345)(325, 342, 328)(327, 356, 348)(329, 338, 360)(336, 362, 366)(341, 361, 370)(346, 369, 363)(347, 365, 364)(349, 355, 368)(351, 357, 371)(353, 372, 358)(354, 367, 359)(373, 378, 384)(374, 377, 382)(375, 381, 379)(376, 383, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1614
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1613 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^-1 * Y1^-1, Y1^2 * Y2^-1, Y2^3, R * Y2 * R * Y1, (R * Y3)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 5, 101, 197, 293)(3, 99, 195, 291, 6, 102, 198, 294)(7, 103, 199, 295, 13, 109, 205, 301)(8, 104, 200, 296, 14, 110, 206, 302)(9, 105, 201, 297, 15, 111, 207, 303)(10, 106, 202, 298, 16, 112, 208, 304)(11, 107, 203, 299, 17, 113, 209, 305)(12, 108, 204, 300, 18, 114, 210, 306)(19, 115, 211, 307, 31, 127, 223, 319)(20, 116, 212, 308, 32, 128, 224, 320)(21, 117, 213, 309, 33, 129, 225, 321)(22, 118, 214, 310, 34, 130, 226, 322)(23, 119, 215, 311, 35, 131, 227, 323)(24, 120, 216, 312, 36, 132, 228, 324)(25, 121, 217, 313, 37, 133, 229, 325)(26, 122, 218, 314, 38, 134, 230, 326)(27, 123, 219, 315, 39, 135, 231, 327)(28, 124, 220, 316, 40, 136, 232, 328)(29, 125, 221, 317, 41, 137, 233, 329)(30, 126, 222, 318, 42, 138, 234, 330)(43, 139, 235, 331, 58, 154, 250, 346)(44, 140, 236, 332, 59, 155, 251, 347)(45, 141, 237, 333, 60, 156, 252, 348)(46, 142, 238, 334, 61, 157, 253, 349)(47, 143, 239, 335, 62, 158, 254, 350)(48, 144, 240, 336, 63, 159, 255, 351)(49, 145, 241, 337, 64, 160, 256, 352)(50, 146, 242, 338, 65, 161, 257, 353)(51, 147, 243, 339, 66, 162, 258, 354)(52, 148, 244, 340, 67, 163, 259, 355)(53, 149, 245, 341, 68, 164, 260, 356)(54, 150, 246, 342, 69, 165, 261, 357)(55, 151, 247, 343, 70, 166, 262, 358)(56, 152, 248, 344, 71, 167, 263, 359)(57, 153, 249, 345, 72, 168, 264, 360)(73, 169, 265, 361, 85, 181, 277, 373)(74, 170, 266, 362, 86, 182, 278, 374)(75, 171, 267, 363, 87, 183, 279, 375)(76, 172, 268, 364, 88, 184, 280, 376)(77, 173, 269, 365, 89, 185, 281, 377)(78, 174, 270, 366, 90, 186, 282, 378)(79, 175, 271, 367, 91, 187, 283, 379)(80, 176, 272, 368, 92, 188, 284, 380)(81, 177, 273, 369, 93, 189, 285, 381)(82, 178, 274, 370, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383)(84, 180, 276, 372, 96, 192, 288, 384)
	L = (1, 98)(2, 99)(3, 97)(4, 103)(5, 105)(6, 107)(7, 104)(8, 100)(9, 106)(10, 101)(11, 108)(12, 102)(13, 115)(14, 117)(15, 119)(16, 121)(17, 123)(18, 125)(19, 116)(20, 109)(21, 118)(22, 110)(23, 120)(24, 111)(25, 122)(26, 112)(27, 124)(28, 113)(29, 126)(30, 114)(31, 138)(32, 140)(33, 142)(34, 144)(35, 130)(36, 145)(37, 147)(38, 149)(39, 134)(40, 150)(41, 152)(42, 139)(43, 127)(44, 141)(45, 128)(46, 143)(47, 129)(48, 131)(49, 146)(50, 132)(51, 148)(52, 133)(53, 135)(54, 151)(55, 136)(56, 153)(57, 137)(58, 169)(59, 171)(60, 172)(61, 156)(62, 165)(63, 174)(64, 176)(65, 177)(66, 161)(67, 155)(68, 178)(69, 173)(70, 180)(71, 166)(72, 160)(73, 170)(74, 154)(75, 163)(76, 157)(77, 158)(78, 175)(79, 159)(80, 168)(81, 162)(82, 179)(83, 164)(84, 167)(85, 188)(86, 190)(87, 182)(88, 189)(89, 191)(90, 185)(91, 181)(92, 187)(93, 192)(94, 183)(95, 186)(96, 184)(193, 291)(194, 289)(195, 290)(196, 296)(197, 298)(198, 300)(199, 292)(200, 295)(201, 293)(202, 297)(203, 294)(204, 299)(205, 308)(206, 310)(207, 312)(208, 314)(209, 316)(210, 318)(211, 301)(212, 307)(213, 302)(214, 309)(215, 303)(216, 311)(217, 304)(218, 313)(219, 305)(220, 315)(221, 306)(222, 317)(223, 331)(224, 333)(225, 335)(226, 323)(227, 336)(228, 338)(229, 340)(230, 327)(231, 341)(232, 343)(233, 345)(234, 319)(235, 330)(236, 320)(237, 332)(238, 321)(239, 334)(240, 322)(241, 324)(242, 337)(243, 325)(244, 339)(245, 326)(246, 328)(247, 342)(248, 329)(249, 344)(250, 362)(251, 355)(252, 349)(253, 364)(254, 365)(255, 367)(256, 360)(257, 354)(258, 369)(259, 363)(260, 371)(261, 350)(262, 359)(263, 372)(264, 368)(265, 346)(266, 361)(267, 347)(268, 348)(269, 357)(270, 351)(271, 366)(272, 352)(273, 353)(274, 356)(275, 370)(276, 358)(277, 379)(278, 375)(279, 382)(280, 384)(281, 378)(282, 383)(283, 380)(284, 373)(285, 376)(286, 374)(287, 377)(288, 381)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1609
Transitivity :: VT+
Graph::
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1614 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1 * Y2)^2, (Y1^-1 * Y2^-1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y2 * Y1)^2, (Y3 * Y2^-1 * Y1^-1)^2, (Y1 * Y2^-1)^3, Y2^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-1, Y1 * Y2^-1 * Y1 * Y3 * Y2 * Y1^-1 * Y2 * Y3, Y1^-1 * Y3 * Y1^-1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 8, 104, 200, 296)(3, 99, 195, 291, 11, 107, 203, 299)(5, 101, 197, 293, 18, 114, 210, 306)(6, 102, 198, 294, 20, 116, 212, 308)(7, 103, 199, 295, 21, 117, 213, 309)(9, 105, 201, 297, 27, 123, 219, 315)(10, 106, 202, 298, 28, 124, 220, 316)(12, 108, 204, 300, 33, 129, 225, 321)(13, 109, 205, 301, 34, 130, 226, 322)(14, 110, 206, 302, 36, 132, 228, 324)(15, 111, 207, 303, 39, 135, 231, 327)(16, 112, 208, 304, 41, 137, 233, 329)(17, 113, 209, 305, 42, 138, 234, 330)(19, 115, 211, 307, 45, 141, 237, 333)(22, 118, 214, 310, 48, 144, 240, 336)(23, 119, 215, 311, 50, 146, 242, 338)(24, 120, 216, 312, 51, 147, 243, 339)(25, 121, 217, 313, 53, 149, 245, 341)(26, 122, 218, 314, 54, 150, 246, 342)(29, 125, 221, 317, 57, 153, 249, 345)(30, 126, 222, 318, 58, 154, 250, 346)(31, 127, 223, 319, 59, 155, 251, 347)(32, 128, 224, 320, 60, 156, 252, 348)(35, 131, 227, 323, 65, 161, 257, 353)(37, 133, 229, 325, 70, 166, 262, 358)(38, 134, 230, 326, 71, 167, 263, 359)(40, 136, 232, 328, 74, 170, 266, 362)(43, 139, 235, 331, 77, 173, 269, 365)(44, 140, 236, 332, 78, 174, 270, 366)(46, 142, 238, 334, 79, 175, 271, 367)(47, 143, 239, 335, 80, 176, 272, 368)(49, 145, 241, 337, 62, 158, 254, 350)(52, 148, 244, 340, 63, 159, 255, 351)(55, 151, 247, 343, 66, 162, 258, 354)(56, 152, 248, 344, 69, 165, 261, 357)(61, 157, 253, 349, 85, 181, 277, 373)(64, 160, 256, 352, 86, 182, 278, 374)(67, 163, 259, 355, 87, 183, 279, 375)(68, 164, 260, 356, 88, 184, 280, 376)(72, 168, 264, 360, 89, 185, 281, 377)(73, 169, 265, 361, 90, 186, 282, 378)(75, 171, 267, 363, 91, 187, 283, 379)(76, 172, 268, 364, 92, 188, 284, 380)(81, 177, 273, 369, 93, 189, 285, 381)(82, 178, 274, 370, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383)(84, 180, 276, 372, 96, 192, 288, 384)
	L = (1, 98)(2, 101)(3, 106)(4, 109)(5, 97)(6, 115)(7, 102)(8, 118)(9, 122)(10, 108)(11, 125)(12, 99)(13, 111)(14, 124)(15, 100)(16, 136)(17, 105)(18, 128)(19, 103)(20, 142)(21, 112)(22, 120)(23, 116)(24, 104)(25, 148)(26, 113)(27, 151)(28, 133)(29, 127)(30, 141)(31, 107)(32, 140)(33, 143)(34, 157)(35, 150)(36, 162)(37, 110)(38, 131)(39, 165)(40, 117)(41, 171)(42, 121)(43, 123)(44, 114)(45, 152)(46, 119)(47, 145)(48, 177)(49, 129)(50, 166)(51, 167)(52, 138)(53, 179)(54, 134)(55, 139)(56, 126)(57, 168)(58, 149)(59, 144)(60, 163)(61, 159)(62, 137)(63, 130)(64, 147)(65, 153)(66, 164)(67, 170)(68, 132)(69, 169)(70, 172)(71, 160)(72, 161)(73, 135)(74, 156)(75, 158)(76, 146)(77, 175)(78, 176)(79, 180)(80, 178)(81, 155)(82, 174)(83, 154)(84, 173)(85, 190)(86, 192)(87, 182)(88, 181)(89, 187)(90, 188)(91, 191)(92, 189)(93, 186)(94, 184)(95, 185)(96, 183)(193, 291)(194, 295)(195, 294)(196, 302)(197, 305)(198, 289)(199, 297)(200, 311)(201, 290)(202, 293)(203, 318)(204, 314)(205, 309)(206, 304)(207, 326)(208, 292)(209, 298)(210, 331)(211, 300)(212, 312)(213, 323)(214, 330)(215, 313)(216, 335)(217, 296)(218, 307)(219, 332)(220, 303)(221, 306)(222, 320)(223, 343)(224, 299)(225, 340)(226, 350)(227, 301)(228, 355)(229, 342)(230, 316)(231, 360)(232, 325)(233, 351)(234, 337)(235, 317)(236, 344)(237, 319)(238, 321)(239, 308)(240, 346)(241, 310)(242, 349)(243, 363)(244, 334)(245, 347)(246, 328)(247, 333)(248, 315)(249, 362)(250, 370)(251, 372)(252, 353)(253, 359)(254, 352)(255, 364)(256, 322)(257, 361)(258, 327)(259, 357)(260, 345)(261, 324)(262, 339)(263, 338)(264, 354)(265, 348)(266, 356)(267, 358)(268, 329)(269, 369)(270, 371)(271, 366)(272, 365)(273, 368)(274, 336)(275, 367)(276, 341)(277, 375)(278, 376)(279, 381)(280, 383)(281, 382)(282, 384)(283, 378)(284, 377)(285, 373)(286, 380)(287, 374)(288, 379)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1612
Transitivity :: VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1615 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2 * Y1)^2, (R * Y3)^2, R * Y1 * R * Y2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y2^-1, (Y1 * Y2^-1)^3, (Y3 * Y2 * Y1)^2, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y1 * Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 8, 104, 200, 296)(3, 99, 195, 291, 11, 107, 203, 299)(5, 101, 197, 293, 18, 114, 210, 306)(6, 102, 198, 294, 20, 116, 212, 308)(7, 103, 199, 295, 21, 117, 213, 309)(9, 105, 201, 297, 27, 123, 219, 315)(10, 106, 202, 298, 28, 124, 220, 316)(12, 108, 204, 300, 33, 129, 225, 321)(13, 109, 205, 301, 34, 130, 226, 322)(14, 110, 206, 302, 36, 132, 228, 324)(15, 111, 207, 303, 39, 135, 231, 327)(16, 112, 208, 304, 41, 137, 233, 329)(17, 113, 209, 305, 42, 138, 234, 330)(19, 115, 211, 307, 45, 141, 237, 333)(22, 118, 214, 310, 48, 144, 240, 336)(23, 119, 215, 311, 50, 146, 242, 338)(24, 120, 216, 312, 51, 147, 243, 339)(25, 121, 217, 313, 53, 149, 245, 341)(26, 122, 218, 314, 54, 150, 246, 342)(29, 125, 221, 317, 57, 153, 249, 345)(30, 126, 222, 318, 58, 154, 250, 346)(31, 127, 223, 319, 59, 155, 251, 347)(32, 128, 224, 320, 60, 156, 252, 348)(35, 131, 227, 323, 65, 161, 257, 353)(37, 133, 229, 325, 70, 166, 262, 358)(38, 134, 230, 326, 71, 167, 263, 359)(40, 136, 232, 328, 74, 170, 266, 362)(43, 139, 235, 331, 77, 173, 269, 365)(44, 140, 236, 332, 78, 174, 270, 366)(46, 142, 238, 334, 79, 175, 271, 367)(47, 143, 239, 335, 80, 176, 272, 368)(49, 145, 241, 337, 63, 159, 255, 351)(52, 148, 244, 340, 62, 158, 254, 350)(55, 151, 247, 343, 69, 165, 261, 357)(56, 152, 248, 344, 66, 162, 258, 354)(61, 157, 253, 349, 85, 181, 277, 373)(64, 160, 256, 352, 86, 182, 278, 374)(67, 163, 259, 355, 87, 183, 279, 375)(68, 164, 260, 356, 88, 184, 280, 376)(72, 168, 264, 360, 89, 185, 281, 377)(73, 169, 265, 361, 90, 186, 282, 378)(75, 171, 267, 363, 91, 187, 283, 379)(76, 172, 268, 364, 92, 188, 284, 380)(81, 177, 273, 369, 93, 189, 285, 381)(82, 178, 274, 370, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383)(84, 180, 276, 372, 96, 192, 288, 384)
	L = (1, 98)(2, 101)(3, 106)(4, 109)(5, 97)(6, 115)(7, 102)(8, 118)(9, 122)(10, 108)(11, 125)(12, 99)(13, 111)(14, 124)(15, 100)(16, 136)(17, 105)(18, 128)(19, 103)(20, 142)(21, 112)(22, 120)(23, 116)(24, 104)(25, 148)(26, 113)(27, 151)(28, 133)(29, 127)(30, 141)(31, 107)(32, 140)(33, 143)(34, 157)(35, 150)(36, 162)(37, 110)(38, 131)(39, 165)(40, 117)(41, 171)(42, 121)(43, 123)(44, 114)(45, 152)(46, 119)(47, 145)(48, 177)(49, 129)(50, 167)(51, 166)(52, 138)(53, 179)(54, 134)(55, 139)(56, 126)(57, 163)(58, 144)(59, 149)(60, 168)(61, 159)(62, 137)(63, 130)(64, 146)(65, 156)(66, 164)(67, 170)(68, 132)(69, 169)(70, 172)(71, 160)(72, 161)(73, 135)(74, 153)(75, 158)(76, 147)(77, 176)(78, 175)(79, 180)(80, 178)(81, 154)(82, 173)(83, 155)(84, 174)(85, 192)(86, 190)(87, 181)(88, 182)(89, 188)(90, 187)(91, 189)(92, 191)(93, 186)(94, 184)(95, 185)(96, 183)(193, 291)(194, 295)(195, 294)(196, 302)(197, 305)(198, 289)(199, 297)(200, 311)(201, 290)(202, 293)(203, 318)(204, 314)(205, 309)(206, 304)(207, 326)(208, 292)(209, 298)(210, 331)(211, 300)(212, 312)(213, 323)(214, 330)(215, 313)(216, 335)(217, 296)(218, 307)(219, 332)(220, 303)(221, 306)(222, 320)(223, 343)(224, 299)(225, 340)(226, 350)(227, 301)(228, 355)(229, 342)(230, 316)(231, 360)(232, 325)(233, 351)(234, 337)(235, 317)(236, 344)(237, 319)(238, 321)(239, 308)(240, 347)(241, 310)(242, 363)(243, 349)(244, 334)(245, 346)(246, 328)(247, 333)(248, 315)(249, 353)(250, 372)(251, 370)(252, 362)(253, 359)(254, 352)(255, 364)(256, 322)(257, 361)(258, 327)(259, 357)(260, 348)(261, 324)(262, 338)(263, 339)(264, 354)(265, 345)(266, 356)(267, 358)(268, 329)(269, 371)(270, 369)(271, 365)(272, 366)(273, 368)(274, 336)(275, 367)(276, 341)(277, 376)(278, 375)(279, 381)(280, 383)(281, 382)(282, 384)(283, 377)(284, 378)(285, 374)(286, 379)(287, 373)(288, 380)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1611
Transitivity :: VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1616 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1^-1 * Y2^-1)^2, (Y2^-1 * Y3 * Y1^-1)^2, (Y2 * Y3 * Y1)^2, (Y1 * Y2^-1)^3, Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1^-1, Y3 * Y2^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 8, 104, 200, 296)(3, 99, 195, 291, 11, 107, 203, 299)(5, 101, 197, 293, 18, 114, 210, 306)(6, 102, 198, 294, 20, 116, 212, 308)(7, 103, 199, 295, 21, 117, 213, 309)(9, 105, 201, 297, 27, 123, 219, 315)(10, 106, 202, 298, 28, 124, 220, 316)(12, 108, 204, 300, 33, 129, 225, 321)(13, 109, 205, 301, 34, 130, 226, 322)(14, 110, 206, 302, 36, 132, 228, 324)(15, 111, 207, 303, 39, 135, 231, 327)(16, 112, 208, 304, 41, 137, 233, 329)(17, 113, 209, 305, 42, 138, 234, 330)(19, 115, 211, 307, 45, 141, 237, 333)(22, 118, 214, 310, 48, 144, 240, 336)(23, 119, 215, 311, 50, 146, 242, 338)(24, 120, 216, 312, 51, 147, 243, 339)(25, 121, 217, 313, 53, 149, 245, 341)(26, 122, 218, 314, 54, 150, 246, 342)(29, 125, 221, 317, 57, 153, 249, 345)(30, 126, 222, 318, 58, 154, 250, 346)(31, 127, 223, 319, 59, 155, 251, 347)(32, 128, 224, 320, 60, 156, 252, 348)(35, 131, 227, 323, 63, 159, 255, 351)(37, 133, 229, 325, 66, 162, 258, 354)(38, 134, 230, 326, 67, 163, 259, 355)(40, 136, 232, 328, 70, 166, 262, 358)(43, 139, 235, 331, 73, 169, 265, 361)(44, 140, 236, 332, 74, 170, 266, 362)(46, 142, 238, 334, 75, 171, 267, 363)(47, 143, 239, 335, 76, 172, 268, 364)(49, 145, 241, 337, 79, 175, 271, 367)(52, 148, 244, 340, 80, 176, 272, 368)(55, 151, 247, 343, 83, 179, 275, 371)(56, 152, 248, 344, 84, 180, 276, 372)(61, 157, 253, 349, 85, 181, 277, 373)(62, 158, 254, 350, 86, 182, 278, 374)(64, 160, 256, 352, 87, 183, 279, 375)(65, 161, 257, 353, 88, 184, 280, 376)(68, 164, 260, 356, 89, 185, 281, 377)(69, 165, 261, 357, 90, 186, 282, 378)(71, 167, 263, 359, 91, 187, 283, 379)(72, 168, 264, 360, 92, 188, 284, 380)(77, 173, 269, 365, 93, 189, 285, 381)(78, 174, 270, 366, 94, 190, 286, 382)(81, 177, 273, 369, 95, 191, 287, 383)(82, 178, 274, 370, 96, 192, 288, 384)
	L = (1, 98)(2, 101)(3, 106)(4, 109)(5, 97)(6, 115)(7, 102)(8, 118)(9, 122)(10, 108)(11, 125)(12, 99)(13, 111)(14, 124)(15, 100)(16, 136)(17, 105)(18, 128)(19, 103)(20, 142)(21, 112)(22, 120)(23, 116)(24, 104)(25, 148)(26, 113)(27, 151)(28, 133)(29, 127)(30, 141)(31, 107)(32, 140)(33, 143)(34, 157)(35, 150)(36, 156)(37, 110)(38, 131)(39, 153)(40, 117)(41, 167)(42, 121)(43, 123)(44, 114)(45, 152)(46, 119)(47, 145)(48, 173)(49, 129)(50, 130)(51, 137)(52, 138)(53, 177)(54, 134)(55, 139)(56, 126)(57, 165)(58, 172)(59, 171)(60, 161)(61, 146)(62, 175)(63, 180)(64, 166)(65, 132)(66, 168)(67, 158)(68, 159)(69, 135)(70, 179)(71, 147)(72, 176)(73, 144)(74, 149)(75, 178)(76, 174)(77, 169)(78, 154)(79, 163)(80, 162)(81, 170)(82, 155)(83, 160)(84, 164)(85, 191)(86, 189)(87, 188)(88, 187)(89, 181)(90, 182)(91, 190)(92, 192)(93, 186)(94, 184)(95, 185)(96, 183)(193, 291)(194, 295)(195, 294)(196, 302)(197, 305)(198, 289)(199, 297)(200, 311)(201, 290)(202, 293)(203, 318)(204, 314)(205, 309)(206, 304)(207, 326)(208, 292)(209, 298)(210, 331)(211, 300)(212, 312)(213, 323)(214, 330)(215, 313)(216, 335)(217, 296)(218, 307)(219, 332)(220, 303)(221, 306)(222, 320)(223, 343)(224, 299)(225, 340)(226, 339)(227, 301)(228, 352)(229, 342)(230, 316)(231, 356)(232, 325)(233, 338)(234, 337)(235, 317)(236, 344)(237, 319)(238, 321)(239, 308)(240, 362)(241, 310)(242, 360)(243, 350)(244, 334)(245, 361)(246, 328)(247, 333)(248, 315)(249, 324)(250, 369)(251, 365)(252, 327)(253, 355)(254, 322)(255, 357)(256, 345)(257, 372)(258, 367)(259, 368)(260, 348)(261, 371)(262, 353)(263, 354)(264, 329)(265, 370)(266, 366)(267, 346)(268, 347)(269, 364)(270, 336)(271, 359)(272, 349)(273, 363)(274, 341)(275, 351)(276, 358)(277, 378)(278, 377)(279, 381)(280, 383)(281, 382)(282, 384)(283, 375)(284, 376)(285, 379)(286, 374)(287, 380)(288, 373)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1610
Transitivity :: VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1617 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C2 x D8) : C2) : C3 (small group id <96, 204>)
Aut   = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1493>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (Y1 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3)^2, (Y2 * Y1)^3, (Y3 * Y2^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 21, 117)(11, 107, 25, 121)(12, 108, 27, 123)(14, 110, 29, 125)(16, 112, 31, 127)(17, 113, 34, 130)(18, 114, 36, 132)(20, 116, 37, 133)(22, 118, 28, 124)(23, 119, 42, 138)(24, 120, 43, 139)(26, 122, 44, 140)(30, 126, 50, 146)(32, 128, 53, 149)(33, 129, 54, 150)(35, 131, 55, 151)(38, 134, 58, 154)(39, 135, 59, 155)(40, 136, 61, 157)(41, 137, 47, 143)(45, 141, 46, 142)(48, 144, 66, 162)(49, 145, 71, 167)(51, 147, 73, 169)(52, 148, 74, 170)(56, 152, 78, 174)(57, 153, 79, 175)(60, 156, 81, 177)(62, 158, 82, 178)(63, 159, 64, 160)(65, 161, 72, 168)(67, 163, 68, 164)(69, 165, 88, 184)(70, 166, 89, 185)(75, 171, 76, 172)(77, 173, 80, 176)(83, 179, 84, 180)(85, 181, 90, 186)(86, 182, 91, 187)(87, 183, 92, 188)(93, 189, 94, 190)(95, 191, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 211, 307, 214, 310)(202, 298, 215, 311, 216, 312)(205, 301, 220, 316, 207, 303)(206, 302, 222, 318, 218, 314)(208, 304, 224, 320, 225, 321)(212, 308, 230, 326, 227, 323)(213, 309, 231, 327, 232, 328)(217, 313, 228, 324, 237, 333)(219, 315, 238, 334, 226, 322)(221, 317, 240, 336, 241, 337)(223, 319, 243, 339, 244, 340)(229, 325, 248, 344, 249, 345)(233, 329, 254, 350, 252, 348)(234, 330, 253, 349, 255, 351)(235, 331, 256, 352, 251, 347)(236, 332, 257, 353, 258, 354)(239, 335, 261, 357, 262, 358)(242, 338, 263, 359, 264, 360)(245, 341, 266, 362, 267, 363)(246, 342, 268, 364, 265, 361)(247, 343, 269, 365, 270, 366)(250, 346, 271, 367, 272, 368)(259, 355, 278, 374, 277, 373)(260, 356, 275, 371, 279, 375)(273, 369, 285, 381, 280, 376)(274, 370, 281, 377, 286, 382)(276, 372, 282, 378, 287, 383)(283, 379, 284, 380, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 213)(10, 195)(11, 218)(12, 215)(13, 221)(14, 197)(15, 223)(16, 198)(17, 227)(18, 224)(19, 229)(20, 200)(21, 201)(22, 233)(23, 204)(24, 222)(25, 236)(26, 203)(27, 234)(28, 239)(29, 205)(30, 216)(31, 207)(32, 210)(33, 230)(34, 247)(35, 209)(36, 245)(37, 211)(38, 225)(39, 252)(40, 248)(41, 214)(42, 219)(43, 242)(44, 217)(45, 259)(46, 260)(47, 220)(48, 244)(49, 261)(50, 235)(51, 262)(52, 240)(53, 228)(54, 250)(55, 226)(56, 232)(57, 254)(58, 246)(59, 273)(60, 231)(61, 270)(62, 249)(63, 275)(64, 276)(65, 277)(66, 266)(67, 237)(68, 238)(69, 241)(70, 243)(71, 280)(72, 282)(73, 281)(74, 258)(75, 278)(76, 283)(77, 279)(78, 253)(79, 274)(80, 284)(81, 251)(82, 271)(83, 255)(84, 256)(85, 257)(86, 267)(87, 269)(88, 263)(89, 265)(90, 264)(91, 268)(92, 272)(93, 287)(94, 288)(95, 285)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1618 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C2 x D8) : C2) : C3 (small group id <96, 204>)
Aut   = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1493>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (Y3 * Y2^-1)^3, (R * Y2 * Y3)^2, (Y2 * Y3)^3, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y3 * Y1 * Y2)^3, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 22, 118)(11, 107, 26, 122)(12, 108, 28, 124)(14, 110, 30, 126)(16, 112, 34, 130)(17, 113, 38, 134)(18, 114, 40, 136)(20, 116, 42, 138)(21, 117, 45, 141)(23, 119, 35, 131)(24, 120, 50, 146)(25, 121, 51, 147)(27, 123, 53, 149)(29, 125, 41, 137)(31, 127, 60, 156)(32, 128, 62, 158)(33, 129, 63, 159)(36, 132, 47, 143)(37, 133, 66, 162)(39, 135, 59, 155)(43, 139, 70, 166)(44, 140, 72, 168)(46, 142, 74, 170)(48, 144, 77, 173)(49, 145, 55, 151)(52, 148, 80, 176)(54, 150, 57, 153)(56, 152, 82, 178)(58, 154, 75, 171)(61, 157, 78, 174)(64, 160, 87, 183)(65, 161, 89, 185)(67, 163, 92, 188)(68, 164, 93, 189)(69, 165, 88, 184)(71, 167, 90, 186)(73, 169, 86, 182)(76, 172, 94, 190)(79, 175, 81, 177)(83, 179, 85, 181)(84, 180, 91, 187)(95, 191, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 213, 309, 215, 311)(202, 298, 216, 312, 217, 313)(205, 301, 221, 317, 223, 319)(206, 302, 224, 320, 219, 315)(207, 303, 225, 321, 227, 323)(208, 304, 228, 324, 229, 325)(211, 307, 233, 329, 235, 331)(212, 308, 236, 332, 231, 327)(214, 310, 239, 335, 240, 336)(218, 314, 244, 340, 246, 342)(220, 316, 247, 343, 248, 344)(222, 318, 250, 346, 251, 347)(226, 322, 242, 338, 257, 353)(230, 326, 259, 355, 249, 345)(232, 328, 241, 337, 260, 356)(234, 330, 261, 357, 245, 341)(237, 333, 265, 361, 252, 348)(238, 334, 267, 363, 268, 364)(243, 339, 270, 366, 271, 367)(253, 349, 276, 372, 269, 365)(254, 350, 277, 373, 266, 362)(255, 351, 278, 374, 262, 358)(256, 352, 280, 376, 275, 371)(258, 354, 282, 378, 283, 379)(263, 359, 273, 369, 281, 377)(264, 360, 286, 382, 279, 375)(272, 368, 287, 383, 274, 370)(284, 380, 288, 384, 285, 381)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 214)(10, 195)(11, 219)(12, 216)(13, 222)(14, 197)(15, 226)(16, 198)(17, 231)(18, 228)(19, 234)(20, 200)(21, 238)(22, 201)(23, 241)(24, 204)(25, 224)(26, 245)(27, 203)(28, 242)(29, 249)(30, 205)(31, 253)(32, 217)(33, 256)(34, 207)(35, 247)(36, 210)(37, 236)(38, 251)(39, 209)(40, 239)(41, 246)(42, 211)(43, 263)(44, 229)(45, 266)(46, 213)(47, 232)(48, 267)(49, 215)(50, 220)(51, 254)(52, 273)(53, 218)(54, 233)(55, 227)(56, 275)(57, 221)(58, 269)(59, 230)(60, 270)(61, 223)(62, 243)(63, 279)(64, 225)(65, 280)(66, 264)(67, 276)(68, 268)(69, 281)(70, 282)(71, 235)(72, 258)(73, 287)(74, 237)(75, 240)(76, 260)(77, 250)(78, 252)(79, 272)(80, 271)(81, 244)(82, 277)(83, 248)(84, 259)(85, 274)(86, 288)(87, 255)(88, 257)(89, 261)(90, 262)(91, 284)(92, 283)(93, 286)(94, 285)(95, 265)(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, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1619 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: halfedge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (Y3 * Y2)^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-1)^4, (Y3 * Y1^-1)^4, (Y3 * Y1^-1 * Y2 * Y1^-1)^2, (Y1 * Y3 * Y2)^3, (Y1^-1 * Y3 * Y2)^3, Y3 * Y1 * Y3 * Y1^-1 * Y2 * Y3 * Y1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1 * Y3 * Y2 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 101, 5, 97)(3, 104, 8, 106, 10, 99)(4, 107, 11, 108, 12, 100)(6, 111, 15, 113, 17, 102)(7, 114, 18, 115, 19, 103)(9, 118, 22, 119, 23, 105)(13, 126, 30, 128, 32, 109)(14, 129, 33, 130, 34, 110)(16, 133, 37, 134, 38, 112)(20, 141, 45, 143, 47, 116)(21, 144, 48, 145, 49, 117)(24, 150, 54, 131, 35, 120)(25, 152, 56, 137, 41, 121)(26, 153, 57, 155, 59, 122)(27, 156, 60, 157, 61, 123)(28, 158, 62, 132, 36, 124)(29, 160, 64, 138, 42, 125)(31, 163, 67, 164, 68, 127)(39, 170, 74, 161, 65, 135)(40, 172, 76, 165, 69, 136)(43, 174, 78, 162, 66, 139)(44, 176, 80, 166, 70, 140)(46, 159, 63, 169, 73, 142)(50, 167, 71, 175, 79, 146)(51, 173, 77, 171, 75, 147)(52, 183, 87, 177, 81, 148)(53, 184, 88, 180, 84, 149)(55, 168, 72, 154, 58, 151)(82, 189, 93, 185, 89, 178)(83, 192, 96, 187, 91, 179)(85, 191, 95, 186, 90, 181)(86, 190, 94, 188, 92, 182)
	L = (1, 3)(2, 6)(4, 9)(5, 13)(7, 16)(8, 20)(10, 24)(11, 26)(12, 28)(14, 31)(15, 35)(17, 39)(18, 41)(19, 43)(21, 46)(22, 50)(23, 52)(25, 55)(27, 58)(29, 63)(30, 65)(32, 45)(33, 69)(34, 48)(36, 71)(37, 53)(38, 72)(40, 75)(42, 77)(44, 79)(47, 82)(49, 85)(51, 68)(54, 89)(56, 91)(57, 81)(59, 86)(60, 84)(61, 83)(62, 92)(64, 90)(66, 88)(67, 73)(70, 87)(74, 93)(76, 95)(78, 96)(80, 94)(97, 100)(98, 103)(99, 105)(101, 110)(102, 112)(104, 117)(106, 121)(107, 123)(108, 125)(109, 127)(111, 132)(113, 136)(114, 138)(115, 140)(116, 142)(118, 147)(119, 149)(120, 151)(122, 154)(124, 159)(126, 162)(128, 153)(129, 166)(130, 156)(131, 167)(133, 148)(134, 169)(135, 171)(137, 173)(139, 175)(141, 177)(143, 179)(144, 180)(145, 182)(146, 164)(150, 186)(152, 188)(155, 181)(157, 178)(158, 187)(160, 185)(161, 184)(163, 168)(165, 183)(170, 190)(172, 192)(174, 191)(176, 189)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.1620 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1)^4, (Y3 * Y2)^4, (Y3 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map:: polytopal
	R = (1, 97, 4, 100, 5, 101)(2, 98, 7, 103, 8, 104)(3, 99, 9, 105, 10, 106)(6, 102, 15, 111, 16, 112)(11, 107, 26, 122, 27, 123)(12, 108, 28, 124, 29, 125)(13, 109, 31, 127, 32, 128)(14, 110, 33, 129, 34, 130)(17, 113, 40, 136, 41, 137)(18, 114, 42, 138, 43, 139)(19, 115, 45, 141, 46, 142)(20, 116, 47, 143, 48, 144)(21, 117, 50, 146, 51, 147)(22, 118, 52, 148, 53, 149)(23, 119, 55, 151, 56, 152)(24, 120, 57, 153, 58, 154)(25, 121, 59, 155, 60, 156)(30, 126, 65, 161, 66, 162)(35, 131, 71, 167, 72, 168)(36, 132, 73, 169, 74, 170)(37, 133, 75, 171, 76, 172)(38, 134, 77, 173, 78, 174)(39, 135, 54, 150, 79, 175)(44, 140, 84, 180, 49, 145)(61, 157, 89, 185, 67, 163)(62, 158, 90, 186, 69, 165)(63, 159, 91, 187, 68, 164)(64, 160, 92, 188, 70, 166)(80, 176, 93, 189, 85, 181)(81, 177, 94, 190, 87, 183)(82, 178, 95, 191, 86, 182)(83, 179, 96, 192, 88, 184)(193, 194)(195, 198)(196, 203)(197, 205)(199, 209)(200, 211)(201, 213)(202, 215)(204, 217)(206, 222)(207, 227)(208, 229)(210, 231)(212, 236)(214, 241)(216, 246)(218, 238)(219, 253)(220, 240)(221, 255)(223, 259)(224, 232)(225, 261)(226, 234)(228, 258)(230, 251)(233, 272)(235, 274)(237, 277)(239, 279)(242, 268)(243, 275)(244, 270)(245, 273)(247, 280)(248, 263)(249, 278)(250, 265)(252, 276)(254, 266)(256, 264)(257, 271)(260, 269)(262, 267)(281, 285)(282, 287)(283, 286)(284, 288)(289, 291)(290, 294)(292, 300)(293, 302)(295, 306)(296, 308)(297, 310)(298, 312)(299, 313)(301, 318)(303, 324)(304, 326)(305, 327)(307, 332)(309, 337)(311, 342)(314, 344)(315, 350)(316, 346)(317, 352)(319, 356)(320, 338)(321, 358)(322, 340)(323, 354)(325, 347)(328, 364)(329, 369)(330, 366)(331, 371)(333, 374)(334, 359)(335, 376)(336, 361)(339, 370)(341, 368)(343, 375)(345, 373)(348, 367)(349, 362)(351, 360)(353, 372)(355, 365)(357, 363)(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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1622
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.1621 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 3, 3})
Quotient :: edge^2
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^2, (Y2^-1 * Y1^-1 * Y3)^2, (Y2 * Y1^-1)^3, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4, (Y3 * Y1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 4, 100)(2, 98, 8, 104)(3, 99, 11, 107)(5, 101, 18, 114)(6, 102, 20, 116)(7, 103, 21, 117)(9, 105, 27, 123)(10, 106, 28, 124)(12, 108, 33, 129)(13, 109, 34, 130)(14, 110, 37, 133)(15, 111, 40, 136)(16, 112, 42, 138)(17, 113, 43, 139)(19, 115, 46, 142)(22, 118, 51, 147)(23, 119, 52, 148)(24, 120, 53, 149)(25, 121, 54, 150)(26, 122, 36, 132)(29, 125, 57, 153)(30, 126, 58, 154)(31, 127, 59, 155)(32, 128, 60, 156)(35, 131, 64, 160)(38, 134, 68, 164)(39, 135, 69, 165)(41, 137, 71, 167)(44, 140, 72, 168)(45, 141, 61, 157)(47, 143, 70, 166)(48, 144, 75, 171)(49, 145, 76, 172)(50, 146, 66, 162)(55, 151, 81, 177)(56, 152, 79, 175)(62, 158, 85, 181)(63, 159, 86, 182)(65, 161, 87, 183)(67, 163, 88, 184)(73, 169, 89, 185)(74, 170, 90, 186)(77, 173, 91, 187)(78, 174, 92, 188)(80, 176, 93, 189)(82, 178, 94, 190)(83, 179, 95, 191)(84, 180, 96, 192)(193, 194, 197)(195, 202, 204)(196, 205, 207)(198, 211, 199)(200, 214, 216)(201, 218, 209)(203, 221, 223)(206, 228, 230)(208, 233, 213)(210, 224, 237)(212, 239, 241)(215, 225, 242)(217, 240, 235)(219, 247, 222)(220, 231, 227)(226, 253, 255)(229, 257, 246)(232, 259, 243)(234, 264, 266)(236, 238, 248)(244, 270, 249)(245, 272, 252)(250, 254, 260)(251, 265, 261)(256, 269, 258)(262, 263, 274)(267, 275, 273)(268, 276, 271)(277, 287, 279)(278, 285, 280)(281, 284, 283)(282, 288, 286)(289, 291, 294)(290, 295, 297)(292, 302, 304)(293, 305, 298)(296, 311, 313)(299, 318, 320)(300, 314, 307)(301, 309, 323)(303, 327, 324)(306, 332, 317)(308, 336, 338)(310, 331, 337)(312, 335, 321)(315, 319, 344)(316, 329, 326)(322, 350, 347)(325, 354, 355)(328, 358, 353)(330, 361, 346)(333, 343, 334)(339, 365, 359)(340, 367, 368)(341, 369, 366)(342, 370, 352)(345, 371, 364)(348, 372, 363)(349, 357, 362)(351, 360, 356)(373, 382, 381)(374, 379, 383)(375, 380, 378)(376, 384, 377)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1623
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.1622 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^3, (Y2 * Y1)^2, R * Y1 * R * Y2, (R * Y3)^2, (Y3 * Y1)^4, (Y3 * Y2)^4, (Y3 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y3^-1)^3, Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y1, Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3^-1 * Y1)^3 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 8, 104, 200, 296)(3, 99, 195, 291, 9, 105, 201, 297, 10, 106, 202, 298)(6, 102, 198, 294, 15, 111, 207, 303, 16, 112, 208, 304)(11, 107, 203, 299, 26, 122, 218, 314, 27, 123, 219, 315)(12, 108, 204, 300, 28, 124, 220, 316, 29, 125, 221, 317)(13, 109, 205, 301, 31, 127, 223, 319, 32, 128, 224, 320)(14, 110, 206, 302, 33, 129, 225, 321, 34, 130, 226, 322)(17, 113, 209, 305, 40, 136, 232, 328, 41, 137, 233, 329)(18, 114, 210, 306, 42, 138, 234, 330, 43, 139, 235, 331)(19, 115, 211, 307, 45, 141, 237, 333, 46, 142, 238, 334)(20, 116, 212, 308, 47, 143, 239, 335, 48, 144, 240, 336)(21, 117, 213, 309, 50, 146, 242, 338, 51, 147, 243, 339)(22, 118, 214, 310, 52, 148, 244, 340, 53, 149, 245, 341)(23, 119, 215, 311, 55, 151, 247, 343, 56, 152, 248, 344)(24, 120, 216, 312, 57, 153, 249, 345, 58, 154, 250, 346)(25, 121, 217, 313, 59, 155, 251, 347, 60, 156, 252, 348)(30, 126, 222, 318, 65, 161, 257, 353, 66, 162, 258, 354)(35, 131, 227, 323, 71, 167, 263, 359, 72, 168, 264, 360)(36, 132, 228, 324, 73, 169, 265, 361, 74, 170, 266, 362)(37, 133, 229, 325, 75, 171, 267, 363, 76, 172, 268, 364)(38, 134, 230, 326, 77, 173, 269, 365, 78, 174, 270, 366)(39, 135, 231, 327, 54, 150, 246, 342, 79, 175, 271, 367)(44, 140, 236, 332, 84, 180, 276, 372, 49, 145, 241, 337)(61, 157, 253, 349, 89, 185, 281, 377, 67, 163, 259, 355)(62, 158, 254, 350, 90, 186, 282, 378, 69, 165, 261, 357)(63, 159, 255, 351, 91, 187, 283, 379, 68, 164, 260, 356)(64, 160, 256, 352, 92, 188, 284, 380, 70, 166, 262, 358)(80, 176, 272, 368, 93, 189, 285, 381, 85, 181, 277, 373)(81, 177, 273, 369, 94, 190, 286, 382, 87, 183, 279, 375)(82, 178, 274, 370, 95, 191, 287, 383, 86, 182, 278, 374)(83, 179, 275, 371, 96, 192, 288, 384, 88, 184, 280, 376)
	L = (1, 98)(2, 97)(3, 102)(4, 107)(5, 109)(6, 99)(7, 113)(8, 115)(9, 117)(10, 119)(11, 100)(12, 121)(13, 101)(14, 126)(15, 131)(16, 133)(17, 103)(18, 135)(19, 104)(20, 140)(21, 105)(22, 145)(23, 106)(24, 150)(25, 108)(26, 142)(27, 157)(28, 144)(29, 159)(30, 110)(31, 163)(32, 136)(33, 165)(34, 138)(35, 111)(36, 162)(37, 112)(38, 155)(39, 114)(40, 128)(41, 176)(42, 130)(43, 178)(44, 116)(45, 181)(46, 122)(47, 183)(48, 124)(49, 118)(50, 172)(51, 179)(52, 174)(53, 177)(54, 120)(55, 184)(56, 167)(57, 182)(58, 169)(59, 134)(60, 180)(61, 123)(62, 170)(63, 125)(64, 168)(65, 175)(66, 132)(67, 127)(68, 173)(69, 129)(70, 171)(71, 152)(72, 160)(73, 154)(74, 158)(75, 166)(76, 146)(77, 164)(78, 148)(79, 161)(80, 137)(81, 149)(82, 139)(83, 147)(84, 156)(85, 141)(86, 153)(87, 143)(88, 151)(89, 189)(90, 191)(91, 190)(92, 192)(93, 185)(94, 187)(95, 186)(96, 188)(193, 291)(194, 294)(195, 289)(196, 300)(197, 302)(198, 290)(199, 306)(200, 308)(201, 310)(202, 312)(203, 313)(204, 292)(205, 318)(206, 293)(207, 324)(208, 326)(209, 327)(210, 295)(211, 332)(212, 296)(213, 337)(214, 297)(215, 342)(216, 298)(217, 299)(218, 344)(219, 350)(220, 346)(221, 352)(222, 301)(223, 356)(224, 338)(225, 358)(226, 340)(227, 354)(228, 303)(229, 347)(230, 304)(231, 305)(232, 364)(233, 369)(234, 366)(235, 371)(236, 307)(237, 374)(238, 359)(239, 376)(240, 361)(241, 309)(242, 320)(243, 370)(244, 322)(245, 368)(246, 311)(247, 375)(248, 314)(249, 373)(250, 316)(251, 325)(252, 367)(253, 362)(254, 315)(255, 360)(256, 317)(257, 372)(258, 323)(259, 365)(260, 319)(261, 363)(262, 321)(263, 334)(264, 351)(265, 336)(266, 349)(267, 357)(268, 328)(269, 355)(270, 330)(271, 348)(272, 341)(273, 329)(274, 339)(275, 331)(276, 353)(277, 345)(278, 333)(279, 343)(280, 335)(281, 384)(282, 382)(283, 383)(284, 381)(285, 380)(286, 378)(287, 379)(288, 377)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1620
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.1623 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 3, 3})
Quotient :: loop^2
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y3^2, Y2^3, Y1^3, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y2)^2, (Y2^-1 * Y1^-1 * Y3)^2, (Y2 * Y1^-1)^3, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2^-1 * Y3 * Y1^-1, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4, (Y3 * Y1 * Y3 * Y2^-1)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y3 * Y2^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 8, 104, 200, 296)(3, 99, 195, 291, 11, 107, 203, 299)(5, 101, 197, 293, 18, 114, 210, 306)(6, 102, 198, 294, 20, 116, 212, 308)(7, 103, 199, 295, 21, 117, 213, 309)(9, 105, 201, 297, 27, 123, 219, 315)(10, 106, 202, 298, 28, 124, 220, 316)(12, 108, 204, 300, 33, 129, 225, 321)(13, 109, 205, 301, 34, 130, 226, 322)(14, 110, 206, 302, 37, 133, 229, 325)(15, 111, 207, 303, 40, 136, 232, 328)(16, 112, 208, 304, 42, 138, 234, 330)(17, 113, 209, 305, 43, 139, 235, 331)(19, 115, 211, 307, 46, 142, 238, 334)(22, 118, 214, 310, 51, 147, 243, 339)(23, 119, 215, 311, 52, 148, 244, 340)(24, 120, 216, 312, 53, 149, 245, 341)(25, 121, 217, 313, 54, 150, 246, 342)(26, 122, 218, 314, 36, 132, 228, 324)(29, 125, 221, 317, 57, 153, 249, 345)(30, 126, 222, 318, 58, 154, 250, 346)(31, 127, 223, 319, 59, 155, 251, 347)(32, 128, 224, 320, 60, 156, 252, 348)(35, 131, 227, 323, 64, 160, 256, 352)(38, 134, 230, 326, 68, 164, 260, 356)(39, 135, 231, 327, 69, 165, 261, 357)(41, 137, 233, 329, 71, 167, 263, 359)(44, 140, 236, 332, 72, 168, 264, 360)(45, 141, 237, 333, 61, 157, 253, 349)(47, 143, 239, 335, 70, 166, 262, 358)(48, 144, 240, 336, 75, 171, 267, 363)(49, 145, 241, 337, 76, 172, 268, 364)(50, 146, 242, 338, 66, 162, 258, 354)(55, 151, 247, 343, 81, 177, 273, 369)(56, 152, 248, 344, 79, 175, 271, 367)(62, 158, 254, 350, 85, 181, 277, 373)(63, 159, 255, 351, 86, 182, 278, 374)(65, 161, 257, 353, 87, 183, 279, 375)(67, 163, 259, 355, 88, 184, 280, 376)(73, 169, 265, 361, 89, 185, 281, 377)(74, 170, 266, 362, 90, 186, 282, 378)(77, 173, 269, 365, 91, 187, 283, 379)(78, 174, 270, 366, 92, 188, 284, 380)(80, 176, 272, 368, 93, 189, 285, 381)(82, 178, 274, 370, 94, 190, 286, 382)(83, 179, 275, 371, 95, 191, 287, 383)(84, 180, 276, 372, 96, 192, 288, 384)
	L = (1, 98)(2, 101)(3, 106)(4, 109)(5, 97)(6, 115)(7, 102)(8, 118)(9, 122)(10, 108)(11, 125)(12, 99)(13, 111)(14, 132)(15, 100)(16, 137)(17, 105)(18, 128)(19, 103)(20, 143)(21, 112)(22, 120)(23, 129)(24, 104)(25, 144)(26, 113)(27, 151)(28, 135)(29, 127)(30, 123)(31, 107)(32, 141)(33, 146)(34, 157)(35, 124)(36, 134)(37, 161)(38, 110)(39, 131)(40, 163)(41, 117)(42, 168)(43, 121)(44, 142)(45, 114)(46, 152)(47, 145)(48, 139)(49, 116)(50, 119)(51, 136)(52, 174)(53, 176)(54, 133)(55, 126)(56, 140)(57, 148)(58, 158)(59, 169)(60, 149)(61, 159)(62, 164)(63, 130)(64, 173)(65, 150)(66, 160)(67, 147)(68, 154)(69, 155)(70, 167)(71, 178)(72, 170)(73, 165)(74, 138)(75, 179)(76, 180)(77, 162)(78, 153)(79, 172)(80, 156)(81, 171)(82, 166)(83, 177)(84, 175)(85, 191)(86, 189)(87, 181)(88, 182)(89, 188)(90, 192)(91, 185)(92, 187)(93, 184)(94, 186)(95, 183)(96, 190)(193, 291)(194, 295)(195, 294)(196, 302)(197, 305)(198, 289)(199, 297)(200, 311)(201, 290)(202, 293)(203, 318)(204, 314)(205, 309)(206, 304)(207, 327)(208, 292)(209, 298)(210, 332)(211, 300)(212, 336)(213, 323)(214, 331)(215, 313)(216, 335)(217, 296)(218, 307)(219, 319)(220, 329)(221, 306)(222, 320)(223, 344)(224, 299)(225, 312)(226, 350)(227, 301)(228, 303)(229, 354)(230, 316)(231, 324)(232, 358)(233, 326)(234, 361)(235, 337)(236, 317)(237, 343)(238, 333)(239, 321)(240, 338)(241, 310)(242, 308)(243, 365)(244, 367)(245, 369)(246, 370)(247, 334)(248, 315)(249, 371)(250, 330)(251, 322)(252, 372)(253, 357)(254, 347)(255, 360)(256, 342)(257, 328)(258, 355)(259, 325)(260, 351)(261, 362)(262, 353)(263, 339)(264, 356)(265, 346)(266, 349)(267, 348)(268, 345)(269, 359)(270, 341)(271, 368)(272, 340)(273, 366)(274, 352)(275, 364)(276, 363)(277, 382)(278, 379)(279, 380)(280, 384)(281, 376)(282, 375)(283, 383)(284, 378)(285, 373)(286, 381)(287, 374)(288, 377)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1621
Transitivity :: VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1624 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y2^3, Y3^3, (Y3^-1 * Y2^-1)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^4, (Y2 * Y3^-1 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2^-1 * R * Y1)^2, (Y2 * Y1 * Y2^-1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 11, 107)(4, 100, 10, 106)(5, 101, 16, 112)(6, 102, 8, 104)(7, 103, 19, 115)(9, 105, 24, 120)(12, 108, 30, 126)(13, 109, 28, 124)(14, 110, 32, 128)(15, 111, 33, 129)(17, 113, 36, 132)(18, 114, 37, 133)(20, 116, 41, 137)(21, 117, 39, 135)(22, 118, 43, 139)(23, 119, 44, 140)(25, 121, 47, 143)(26, 122, 48, 144)(27, 123, 46, 142)(29, 125, 53, 149)(31, 127, 56, 152)(34, 130, 61, 157)(35, 131, 38, 134)(40, 136, 72, 168)(42, 138, 75, 171)(45, 141, 80, 176)(49, 145, 76, 172)(50, 146, 83, 179)(51, 147, 88, 184)(52, 148, 71, 167)(54, 150, 86, 182)(55, 151, 90, 186)(57, 153, 68, 164)(58, 154, 93, 189)(59, 155, 82, 178)(60, 156, 85, 181)(62, 158, 96, 192)(63, 159, 78, 174)(64, 160, 69, 165)(65, 161, 84, 180)(66, 162, 79, 175)(67, 163, 73, 169)(70, 166, 91, 187)(74, 170, 87, 183)(77, 173, 94, 190)(81, 177, 92, 188)(89, 185, 95, 191)(193, 289, 195, 291, 197, 293)(194, 290, 199, 295, 201, 297)(196, 292, 206, 302, 207, 303)(198, 294, 210, 306, 204, 300)(200, 296, 214, 310, 215, 311)(202, 298, 218, 314, 212, 308)(203, 299, 219, 315, 221, 317)(205, 301, 223, 319, 209, 305)(208, 304, 226, 322, 227, 323)(211, 307, 230, 326, 232, 328)(213, 309, 234, 330, 217, 313)(216, 312, 237, 333, 238, 334)(220, 316, 243, 339, 244, 340)(222, 318, 247, 343, 241, 337)(224, 320, 249, 345, 250, 346)(225, 321, 251, 347, 252, 348)(228, 324, 257, 353, 254, 350)(229, 325, 258, 354, 259, 355)(231, 327, 262, 358, 263, 359)(233, 329, 266, 362, 260, 356)(235, 331, 268, 364, 269, 365)(236, 332, 270, 366, 271, 367)(239, 335, 276, 372, 273, 369)(240, 336, 277, 373, 278, 374)(242, 338, 279, 375, 246, 342)(245, 341, 281, 377, 253, 349)(248, 344, 283, 379, 284, 380)(255, 351, 286, 382, 256, 352)(261, 357, 282, 378, 265, 361)(264, 360, 287, 383, 272, 368)(267, 363, 280, 376, 288, 384)(274, 370, 285, 381, 275, 371)
	L = (1, 196)(2, 200)(3, 204)(4, 198)(5, 209)(6, 193)(7, 212)(8, 202)(9, 217)(10, 194)(11, 220)(12, 205)(13, 195)(14, 197)(15, 223)(16, 224)(17, 206)(18, 207)(19, 231)(20, 213)(21, 199)(22, 201)(23, 234)(24, 235)(25, 214)(26, 215)(27, 241)(28, 222)(29, 246)(30, 203)(31, 210)(32, 228)(33, 229)(34, 254)(35, 256)(36, 208)(37, 248)(38, 260)(39, 233)(40, 265)(41, 211)(42, 218)(43, 239)(44, 240)(45, 273)(46, 275)(47, 216)(48, 267)(49, 242)(50, 219)(51, 221)(52, 279)(53, 280)(54, 243)(55, 244)(56, 225)(57, 227)(58, 286)(59, 284)(60, 287)(61, 270)(62, 255)(63, 226)(64, 249)(65, 250)(66, 252)(67, 264)(68, 261)(69, 230)(70, 232)(71, 282)(72, 283)(73, 262)(74, 263)(75, 236)(76, 238)(77, 285)(78, 288)(79, 281)(80, 251)(81, 274)(82, 237)(83, 268)(84, 269)(85, 271)(86, 245)(87, 247)(88, 278)(89, 277)(90, 266)(91, 259)(92, 272)(93, 276)(94, 257)(95, 258)(96, 253)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1625 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C3) (small group id <96, 229>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2)^3, (Y2^-1 * Y1 * Y2 * Y3)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y3 * Y2 * Y1 * Y2^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 22, 118)(11, 107, 26, 122)(12, 108, 28, 124)(14, 110, 30, 126)(16, 112, 34, 130)(17, 113, 38, 134)(18, 114, 40, 136)(20, 116, 42, 138)(21, 117, 45, 141)(23, 119, 35, 131)(24, 120, 50, 146)(25, 121, 37, 133)(27, 123, 52, 148)(29, 125, 41, 137)(31, 127, 57, 153)(32, 128, 44, 140)(33, 129, 59, 155)(36, 132, 64, 160)(39, 135, 66, 162)(43, 139, 71, 167)(46, 142, 74, 170)(47, 143, 76, 172)(48, 144, 62, 158)(49, 145, 63, 159)(51, 147, 78, 174)(53, 149, 67, 163)(54, 150, 79, 175)(55, 151, 69, 165)(56, 152, 80, 176)(58, 154, 81, 177)(60, 156, 83, 179)(61, 157, 85, 181)(65, 161, 87, 183)(68, 164, 88, 184)(70, 166, 89, 185)(72, 168, 90, 186)(73, 169, 82, 178)(75, 171, 84, 180)(77, 173, 86, 182)(91, 187, 94, 190)(92, 188, 95, 191)(93, 189, 96, 192)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 213, 309, 215, 311)(202, 298, 216, 312, 217, 313)(205, 301, 221, 317, 223, 319)(206, 302, 224, 320, 219, 315)(207, 303, 225, 321, 227, 323)(208, 304, 228, 324, 229, 325)(211, 307, 233, 329, 235, 331)(212, 308, 236, 332, 231, 327)(214, 310, 239, 335, 240, 336)(218, 314, 243, 339, 241, 337)(220, 316, 245, 341, 246, 342)(222, 318, 247, 343, 248, 344)(226, 322, 253, 349, 254, 350)(230, 326, 257, 353, 255, 351)(232, 328, 259, 355, 260, 356)(234, 330, 261, 357, 262, 358)(237, 333, 265, 361, 249, 345)(238, 334, 267, 363, 244, 340)(242, 338, 269, 365, 250, 346)(251, 347, 274, 370, 263, 359)(252, 348, 276, 372, 258, 354)(256, 352, 278, 374, 264, 360)(266, 362, 284, 380, 272, 368)(268, 364, 285, 381, 273, 369)(270, 366, 283, 379, 271, 367)(275, 371, 287, 383, 281, 377)(277, 373, 288, 384, 282, 378)(279, 375, 286, 382, 280, 376)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 214)(10, 195)(11, 219)(12, 216)(13, 222)(14, 197)(15, 226)(16, 198)(17, 231)(18, 228)(19, 234)(20, 200)(21, 238)(22, 201)(23, 241)(24, 204)(25, 224)(26, 244)(27, 203)(28, 242)(29, 245)(30, 205)(31, 250)(32, 217)(33, 252)(34, 207)(35, 255)(36, 210)(37, 236)(38, 258)(39, 209)(40, 256)(41, 259)(42, 211)(43, 264)(44, 229)(45, 266)(46, 213)(47, 243)(48, 267)(49, 215)(50, 220)(51, 239)(52, 218)(53, 221)(54, 248)(55, 269)(56, 246)(57, 273)(58, 223)(59, 275)(60, 225)(61, 257)(62, 276)(63, 227)(64, 232)(65, 253)(66, 230)(67, 233)(68, 262)(69, 278)(70, 260)(71, 282)(72, 235)(73, 283)(74, 237)(75, 240)(76, 270)(77, 247)(78, 268)(79, 272)(80, 271)(81, 249)(82, 286)(83, 251)(84, 254)(85, 279)(86, 261)(87, 277)(88, 281)(89, 280)(90, 263)(91, 265)(92, 285)(93, 284)(94, 274)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1626 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 3, 3})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 227>)
Aut   = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
|r| :: 2
Presentation :: [ Y1^2, Y3^2, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^2, (R * Y2 * Y3)^2, (Y3 * Y2^-1)^3, (Y1 * Y2^-1)^4, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3, (Y2 * Y1 * Y2^-1 * Y1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 7, 103)(5, 101, 13, 109)(6, 102, 15, 111)(8, 104, 19, 115)(10, 106, 22, 118)(11, 107, 26, 122)(12, 108, 28, 124)(14, 110, 30, 126)(16, 112, 34, 130)(17, 113, 38, 134)(18, 114, 40, 136)(20, 116, 42, 138)(21, 117, 43, 139)(23, 119, 48, 144)(24, 120, 50, 146)(25, 121, 44, 140)(27, 123, 51, 147)(29, 125, 55, 151)(31, 127, 33, 129)(32, 128, 37, 133)(35, 131, 62, 158)(36, 132, 64, 160)(39, 135, 65, 161)(41, 137, 69, 165)(45, 141, 68, 164)(46, 142, 72, 168)(47, 143, 74, 170)(49, 145, 76, 172)(52, 148, 78, 174)(53, 149, 79, 175)(54, 150, 59, 155)(56, 152, 80, 176)(57, 153, 81, 177)(58, 154, 60, 156)(61, 157, 83, 179)(63, 159, 85, 181)(66, 162, 87, 183)(67, 163, 88, 184)(70, 166, 89, 185)(71, 167, 90, 186)(73, 169, 86, 182)(75, 171, 84, 180)(77, 173, 82, 178)(91, 187, 96, 192)(92, 188, 95, 191)(93, 189, 94, 190)(193, 289, 195, 291, 197, 293)(194, 290, 198, 294, 200, 296)(196, 292, 203, 299, 204, 300)(199, 295, 209, 305, 210, 306)(201, 297, 213, 309, 215, 311)(202, 298, 216, 312, 217, 313)(205, 301, 221, 317, 223, 319)(206, 302, 224, 320, 219, 315)(207, 303, 225, 321, 227, 323)(208, 304, 228, 324, 229, 325)(211, 307, 233, 329, 235, 331)(212, 308, 236, 332, 231, 327)(214, 310, 238, 334, 239, 335)(218, 314, 237, 333, 244, 340)(220, 316, 245, 341, 246, 342)(222, 318, 249, 345, 250, 346)(226, 322, 252, 348, 253, 349)(230, 326, 251, 347, 258, 354)(232, 328, 259, 355, 260, 356)(234, 330, 263, 359, 264, 360)(240, 336, 267, 363, 247, 343)(241, 337, 243, 339, 265, 361)(242, 338, 248, 344, 269, 365)(254, 350, 276, 372, 261, 357)(255, 351, 257, 353, 274, 370)(256, 352, 262, 358, 278, 374)(266, 362, 283, 379, 272, 368)(268, 364, 285, 381, 273, 369)(270, 366, 284, 380, 271, 367)(275, 371, 286, 382, 281, 377)(277, 373, 288, 384, 282, 378)(279, 375, 287, 383, 280, 376)
	L = (1, 196)(2, 199)(3, 202)(4, 193)(5, 206)(6, 208)(7, 194)(8, 212)(9, 214)(10, 195)(11, 219)(12, 216)(13, 222)(14, 197)(15, 226)(16, 198)(17, 231)(18, 228)(19, 234)(20, 200)(21, 237)(22, 201)(23, 241)(24, 204)(25, 224)(26, 243)(27, 203)(28, 242)(29, 248)(30, 205)(31, 246)(32, 217)(33, 251)(34, 207)(35, 255)(36, 210)(37, 236)(38, 257)(39, 209)(40, 256)(41, 262)(42, 211)(43, 260)(44, 229)(45, 213)(46, 265)(47, 244)(48, 268)(49, 215)(50, 220)(51, 218)(52, 239)(53, 249)(54, 223)(55, 272)(56, 221)(57, 245)(58, 269)(59, 225)(60, 274)(61, 258)(62, 277)(63, 227)(64, 232)(65, 230)(66, 253)(67, 263)(68, 235)(69, 281)(70, 233)(71, 259)(72, 278)(73, 238)(74, 270)(75, 284)(76, 240)(77, 250)(78, 266)(79, 273)(80, 247)(81, 271)(82, 252)(83, 279)(84, 287)(85, 254)(86, 264)(87, 275)(88, 282)(89, 261)(90, 280)(91, 285)(92, 267)(93, 283)(94, 288)(95, 276)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 6, 4, 6 ), ( 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible selfdual
Graph:: simple bipartite
	v = 80 e = 192 f = 80
	degree seq :: [ 4^48, 6^32 ]

E17.1627 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2, (Y3 * Y2)^3, (Y3 * Y1)^16 ]
Map:: non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 108, 12, 104)(10, 110, 14, 106)(15, 119, 23, 111)(16, 120, 24, 112)(17, 121, 25, 113)(18, 122, 26, 114)(19, 123, 27, 115)(20, 124, 28, 116)(21, 125, 29, 117)(22, 126, 30, 118)(31, 133, 37, 127)(32, 134, 38, 128)(33, 135, 39, 129)(34, 136, 40, 130)(35, 137, 41, 131)(36, 138, 42, 132)(43, 145, 49, 139)(44, 146, 50, 140)(45, 147, 51, 141)(46, 148, 52, 142)(47, 149, 53, 143)(48, 150, 54, 144)(55, 157, 61, 151)(56, 158, 62, 152)(57, 159, 63, 153)(58, 160, 64, 154)(59, 161, 65, 155)(60, 162, 66, 156)(67, 169, 73, 163)(68, 170, 74, 164)(69, 171, 75, 165)(70, 172, 76, 166)(71, 173, 77, 167)(72, 174, 78, 168)(79, 181, 85, 175)(80, 182, 86, 176)(81, 183, 87, 177)(82, 184, 88, 178)(83, 185, 89, 179)(84, 186, 90, 180)(91, 190, 94, 187)(92, 191, 95, 188)(93, 192, 96, 189)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 19)(12, 21)(13, 22)(16, 25)(20, 29)(23, 31)(24, 33)(26, 32)(27, 34)(28, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 55)(50, 57)(51, 56)(52, 58)(53, 60)(54, 59)(61, 67)(62, 69)(63, 68)(64, 70)(65, 72)(66, 71)(73, 79)(74, 81)(75, 80)(76, 82)(77, 84)(78, 83)(85, 91)(86, 93)(87, 92)(88, 94)(89, 96)(90, 95)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 113)(107, 116)(109, 115)(110, 117)(114, 121)(118, 125)(119, 128)(120, 127)(122, 129)(123, 131)(124, 130)(126, 132)(133, 140)(134, 139)(135, 141)(136, 143)(137, 142)(138, 144)(145, 152)(146, 151)(147, 153)(148, 155)(149, 154)(150, 156)(157, 164)(158, 163)(159, 165)(160, 167)(161, 166)(162, 168)(169, 176)(170, 175)(171, 177)(172, 179)(173, 178)(174, 180)(181, 188)(182, 187)(183, 189)(184, 191)(185, 190)(186, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1629
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1628 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^6, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 108, 12, 104)(10, 110, 14, 106)(15, 121, 25, 111)(16, 122, 26, 112)(17, 123, 27, 113)(18, 125, 29, 114)(19, 126, 30, 115)(20, 128, 32, 116)(21, 129, 33, 117)(22, 130, 34, 118)(23, 132, 36, 119)(24, 133, 37, 120)(28, 131, 35, 124)(31, 134, 38, 127)(39, 151, 55, 135)(40, 152, 56, 136)(41, 153, 57, 137)(42, 154, 58, 138)(43, 155, 59, 139)(44, 157, 61, 140)(45, 158, 62, 141)(46, 159, 63, 142)(47, 160, 64, 143)(48, 161, 65, 144)(49, 162, 66, 145)(50, 163, 67, 146)(51, 164, 68, 147)(52, 166, 70, 148)(53, 167, 71, 149)(54, 168, 72, 150)(60, 165, 69, 156)(73, 185, 89, 169)(74, 183, 87, 170)(75, 180, 84, 171)(76, 179, 83, 172)(77, 186, 90, 173)(78, 187, 91, 174)(79, 178, 82, 175)(80, 188, 92, 176)(81, 189, 93, 177)(85, 190, 94, 181)(86, 191, 95, 182)(88, 192, 96, 184)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 59)(44, 62)(46, 60)(50, 68)(52, 71)(54, 69)(55, 73)(56, 75)(57, 74)(58, 77)(61, 79)(63, 78)(64, 81)(65, 83)(66, 82)(67, 85)(70, 87)(72, 86)(76, 90)(80, 91)(84, 94)(88, 95)(89, 96)(92, 93)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 115)(107, 117)(109, 116)(110, 120)(113, 124)(114, 126)(118, 131)(119, 133)(121, 136)(122, 135)(123, 138)(125, 140)(127, 142)(128, 144)(129, 143)(130, 146)(132, 148)(134, 150)(137, 154)(139, 156)(141, 159)(145, 163)(147, 165)(149, 168)(151, 170)(152, 169)(153, 172)(155, 174)(157, 171)(158, 176)(160, 178)(161, 177)(162, 180)(164, 182)(166, 179)(167, 184)(173, 187)(175, 188)(181, 191)(183, 192)(185, 190)(186, 189)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1630
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1629 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^-1 * Y3 * Y2 * Y1^-1, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^3, Y1^6, Y2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 98, 2, 102, 6, 110, 14, 106, 10, 101, 5, 97)(3, 105, 9, 111, 15, 108, 12, 100, 4, 107, 11, 99)(7, 112, 16, 109, 13, 114, 18, 104, 8, 113, 17, 103)(19, 121, 25, 117, 21, 123, 27, 116, 20, 122, 26, 115)(22, 124, 28, 120, 24, 126, 30, 119, 23, 125, 29, 118)(31, 133, 37, 129, 33, 135, 39, 128, 32, 134, 38, 127)(34, 136, 40, 132, 36, 138, 42, 131, 35, 137, 41, 130)(43, 145, 49, 141, 45, 147, 51, 140, 44, 146, 50, 139)(46, 148, 52, 144, 48, 150, 54, 143, 47, 149, 53, 142)(55, 157, 61, 153, 57, 159, 63, 152, 56, 158, 62, 151)(58, 160, 64, 156, 60, 162, 66, 155, 59, 161, 65, 154)(67, 169, 73, 165, 69, 171, 75, 164, 68, 170, 74, 163)(70, 172, 76, 168, 72, 174, 78, 167, 71, 173, 77, 166)(79, 181, 85, 177, 81, 183, 87, 176, 80, 182, 86, 175)(82, 184, 88, 180, 84, 186, 90, 179, 83, 185, 89, 178)(91, 190, 94, 189, 93, 192, 96, 188, 92, 191, 95, 187)
	L = (1, 3)(2, 7)(4, 6)(5, 13)(8, 14)(9, 19)(10, 15)(11, 21)(12, 20)(16, 22)(17, 24)(18, 23)(25, 31)(26, 33)(27, 32)(28, 34)(29, 36)(30, 35)(37, 43)(38, 45)(39, 44)(40, 46)(41, 48)(42, 47)(49, 55)(50, 57)(51, 56)(52, 58)(53, 60)(54, 59)(61, 67)(62, 69)(63, 68)(64, 70)(65, 72)(66, 71)(73, 79)(74, 81)(75, 80)(76, 82)(77, 84)(78, 83)(85, 91)(86, 93)(87, 92)(88, 94)(89, 96)(90, 95)(97, 100)(98, 104)(99, 106)(101, 103)(102, 111)(105, 116)(107, 115)(108, 117)(109, 110)(112, 119)(113, 118)(114, 120)(121, 128)(122, 127)(123, 129)(124, 131)(125, 130)(126, 132)(133, 140)(134, 139)(135, 141)(136, 143)(137, 142)(138, 144)(145, 152)(146, 151)(147, 153)(148, 155)(149, 154)(150, 156)(157, 164)(158, 163)(159, 165)(160, 167)(161, 166)(162, 168)(169, 176)(170, 175)(171, 177)(172, 179)(173, 178)(174, 180)(181, 188)(182, 187)(183, 189)(184, 191)(185, 190)(186, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1627
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1630 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y2, Y2 * Y3 * Y1^-2 * Y2 * Y3, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y1^6, Y1 * Y2 * Y3 * Y2 * Y1^-2 * Y3 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 136, 40, 115, 19, 107, 11, 99)(4, 108, 12, 128, 32, 137, 41, 116, 20, 110, 14, 100)(7, 117, 21, 111, 15, 131, 35, 133, 37, 119, 23, 103)(8, 120, 24, 112, 16, 132, 36, 134, 38, 122, 26, 104)(10, 118, 22, 135, 39, 130, 34, 109, 13, 121, 25, 106)(28, 143, 47, 126, 30, 147, 51, 150, 54, 144, 48, 124)(29, 145, 49, 127, 31, 148, 52, 129, 33, 146, 50, 125)(42, 151, 55, 140, 44, 155, 59, 149, 53, 152, 56, 138)(43, 153, 57, 141, 45, 156, 60, 142, 46, 154, 58, 139)(61, 169, 73, 159, 63, 173, 77, 162, 66, 170, 74, 157)(62, 171, 75, 160, 64, 174, 78, 161, 65, 172, 76, 158)(67, 175, 79, 165, 69, 179, 83, 168, 72, 176, 80, 163)(68, 177, 81, 166, 70, 180, 84, 167, 71, 178, 82, 164)(85, 190, 94, 183, 87, 191, 95, 186, 90, 188, 92, 181)(86, 192, 96, 184, 88, 187, 91, 185, 89, 189, 93, 182)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 53)(36, 45)(40, 54)(47, 61)(48, 63)(49, 65)(50, 62)(51, 66)(52, 64)(55, 67)(56, 69)(57, 71)(58, 68)(59, 72)(60, 70)(73, 85)(74, 87)(75, 89)(76, 86)(77, 90)(78, 88)(79, 91)(80, 93)(81, 95)(82, 92)(83, 96)(84, 94)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 127)(108, 124)(109, 123)(110, 126)(111, 121)(113, 128)(114, 134)(115, 135)(117, 139)(119, 141)(120, 138)(122, 140)(129, 136)(130, 133)(131, 142)(132, 149)(137, 150)(143, 158)(144, 160)(145, 157)(146, 159)(147, 161)(148, 162)(151, 164)(152, 166)(153, 163)(154, 165)(155, 167)(156, 168)(169, 182)(170, 184)(171, 181)(172, 183)(173, 185)(174, 186)(175, 188)(176, 190)(177, 187)(178, 189)(179, 191)(180, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1628
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1631 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y3 * Y2)^16 ]
Map::
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 15, 111)(9, 105, 17, 113)(10, 106, 18, 114)(11, 107, 19, 115)(13, 109, 21, 117)(14, 110, 22, 118)(16, 112, 23, 119)(20, 116, 27, 123)(24, 120, 31, 127)(25, 121, 32, 128)(26, 122, 33, 129)(28, 124, 34, 130)(29, 125, 35, 131)(30, 126, 36, 132)(37, 133, 43, 139)(38, 134, 44, 140)(39, 135, 45, 141)(40, 136, 46, 142)(41, 137, 47, 143)(42, 138, 48, 144)(49, 145, 55, 151)(50, 146, 56, 152)(51, 147, 57, 153)(52, 148, 58, 154)(53, 149, 59, 155)(54, 150, 60, 156)(61, 157, 67, 163)(62, 158, 68, 164)(63, 159, 69, 165)(64, 160, 70, 166)(65, 161, 71, 167)(66, 162, 72, 168)(73, 169, 79, 175)(74, 170, 80, 176)(75, 171, 81, 177)(76, 172, 82, 178)(77, 173, 83, 179)(78, 174, 84, 180)(85, 181, 91, 187)(86, 182, 92, 188)(87, 183, 93, 189)(88, 184, 94, 190)(89, 185, 95, 191)(90, 186, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 208)(202, 207)(204, 212)(206, 211)(209, 216)(210, 218)(213, 220)(214, 222)(215, 221)(217, 219)(223, 229)(224, 231)(225, 230)(226, 232)(227, 234)(228, 233)(235, 241)(236, 243)(237, 242)(238, 244)(239, 246)(240, 245)(247, 253)(248, 255)(249, 254)(250, 256)(251, 258)(252, 257)(259, 265)(260, 267)(261, 266)(262, 268)(263, 270)(264, 269)(271, 277)(272, 279)(273, 278)(274, 280)(275, 282)(276, 281)(283, 286)(284, 288)(285, 287)(289, 291)(290, 293)(292, 298)(294, 302)(295, 299)(296, 301)(297, 300)(303, 308)(304, 307)(305, 313)(306, 312)(309, 317)(310, 316)(311, 318)(314, 315)(319, 326)(320, 325)(321, 327)(322, 329)(323, 328)(324, 330)(331, 338)(332, 337)(333, 339)(334, 341)(335, 340)(336, 342)(343, 350)(344, 349)(345, 351)(346, 353)(347, 352)(348, 354)(355, 362)(356, 361)(357, 363)(358, 365)(359, 364)(360, 366)(367, 374)(368, 373)(369, 375)(370, 377)(371, 376)(372, 378)(379, 383)(380, 382)(381, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1637
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.1632 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 18, 114)(10, 106, 19, 115)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(15, 111, 26, 122)(17, 113, 28, 124)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 40, 136)(27, 123, 42, 138)(29, 125, 44, 140)(30, 126, 45, 141)(31, 127, 46, 142)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(39, 135, 55, 151)(41, 137, 57, 153)(43, 139, 59, 155)(47, 143, 64, 160)(49, 145, 66, 162)(51, 147, 68, 164)(56, 152, 73, 169)(58, 154, 75, 171)(60, 156, 77, 173)(61, 157, 78, 174)(62, 158, 79, 175)(63, 159, 80, 176)(65, 161, 81, 177)(67, 163, 83, 179)(69, 165, 85, 181)(70, 166, 86, 182)(71, 167, 87, 183)(72, 168, 88, 184)(74, 170, 89, 185)(76, 172, 91, 187)(82, 178, 93, 189)(84, 180, 95, 191)(90, 186, 96, 192)(92, 188, 94, 190)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 208)(204, 214)(206, 213)(207, 217)(210, 221)(211, 223)(212, 224)(215, 228)(216, 230)(218, 233)(219, 232)(220, 229)(222, 227)(225, 241)(226, 240)(231, 239)(234, 250)(235, 249)(236, 252)(237, 254)(238, 253)(242, 259)(243, 258)(244, 261)(245, 263)(246, 262)(247, 257)(248, 256)(251, 268)(255, 267)(260, 276)(264, 275)(265, 274)(266, 273)(269, 284)(270, 280)(271, 283)(272, 278)(277, 288)(279, 287)(281, 286)(282, 285)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 301)(297, 300)(299, 308)(304, 315)(305, 314)(306, 318)(307, 317)(309, 322)(310, 321)(311, 325)(312, 324)(313, 327)(316, 331)(319, 330)(320, 335)(323, 339)(326, 338)(328, 344)(329, 343)(332, 349)(333, 348)(334, 351)(336, 353)(337, 352)(340, 358)(341, 357)(342, 360)(345, 362)(346, 361)(347, 359)(350, 356)(354, 370)(355, 369)(363, 378)(364, 377)(365, 379)(366, 380)(367, 375)(368, 376)(371, 382)(372, 381)(373, 383)(374, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1638
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.1633 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 4, 100, 6, 102, 15, 111, 9, 105, 5, 101)(2, 98, 7, 103, 3, 99, 10, 106, 14, 110, 8, 104)(11, 107, 19, 115, 12, 108, 21, 117, 13, 109, 20, 116)(16, 112, 22, 118, 17, 113, 24, 120, 18, 114, 23, 119)(25, 121, 31, 127, 26, 122, 33, 129, 27, 123, 32, 128)(28, 124, 34, 130, 29, 125, 36, 132, 30, 126, 35, 131)(37, 133, 43, 139, 38, 134, 45, 141, 39, 135, 44, 140)(40, 136, 46, 142, 41, 137, 48, 144, 42, 138, 47, 143)(49, 145, 55, 151, 50, 146, 57, 153, 51, 147, 56, 152)(52, 148, 58, 154, 53, 149, 60, 156, 54, 150, 59, 155)(61, 157, 67, 163, 62, 158, 69, 165, 63, 159, 68, 164)(64, 160, 70, 166, 65, 161, 72, 168, 66, 162, 71, 167)(73, 169, 79, 175, 74, 170, 81, 177, 75, 171, 80, 176)(76, 172, 82, 178, 77, 173, 84, 180, 78, 174, 83, 179)(85, 181, 91, 187, 86, 182, 93, 189, 87, 183, 92, 188)(88, 184, 94, 190, 89, 185, 96, 192, 90, 186, 95, 191)(193, 194)(195, 201)(196, 203)(197, 204)(198, 206)(199, 208)(200, 209)(202, 210)(205, 207)(211, 217)(212, 218)(213, 219)(214, 220)(215, 221)(216, 222)(223, 229)(224, 230)(225, 231)(226, 232)(227, 233)(228, 234)(235, 241)(236, 242)(237, 243)(238, 244)(239, 245)(240, 246)(247, 253)(248, 254)(249, 255)(250, 256)(251, 257)(252, 258)(259, 265)(260, 266)(261, 267)(262, 268)(263, 269)(264, 270)(271, 277)(272, 278)(273, 279)(274, 280)(275, 281)(276, 282)(283, 286)(284, 288)(285, 287)(289, 291)(290, 294)(292, 300)(293, 301)(295, 305)(296, 306)(297, 302)(298, 304)(299, 303)(307, 314)(308, 315)(309, 313)(310, 317)(311, 318)(312, 316)(319, 326)(320, 327)(321, 325)(322, 329)(323, 330)(324, 328)(331, 338)(332, 339)(333, 337)(334, 341)(335, 342)(336, 340)(343, 350)(344, 351)(345, 349)(346, 353)(347, 354)(348, 352)(355, 362)(356, 363)(357, 361)(358, 365)(359, 366)(360, 364)(367, 374)(368, 375)(369, 373)(370, 377)(371, 378)(372, 376)(379, 384)(380, 383)(381, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1635
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1634 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^6, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 34, 130, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 44, 140, 26, 122, 8, 104)(3, 99, 10, 106, 18, 114, 37, 133, 29, 125, 11, 107)(6, 102, 19, 115, 9, 105, 27, 123, 39, 135, 20, 116)(12, 108, 30, 126, 15, 111, 35, 131, 47, 143, 31, 127)(13, 109, 32, 128, 16, 112, 36, 132, 38, 134, 33, 129)(21, 117, 40, 136, 24, 120, 45, 141, 54, 150, 41, 137)(22, 118, 42, 138, 25, 121, 46, 142, 28, 124, 43, 139)(48, 144, 61, 157, 50, 146, 65, 161, 53, 149, 62, 158)(49, 145, 63, 159, 51, 147, 66, 162, 52, 148, 64, 160)(55, 151, 67, 163, 57, 153, 71, 167, 60, 156, 68, 164)(56, 152, 69, 165, 58, 154, 72, 168, 59, 155, 70, 166)(73, 169, 85, 181, 75, 171, 89, 185, 78, 174, 86, 182)(74, 170, 87, 183, 76, 172, 90, 186, 77, 173, 88, 184)(79, 175, 91, 187, 81, 177, 95, 191, 84, 180, 92, 188)(80, 176, 93, 189, 82, 178, 96, 192, 83, 179, 94, 190)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 220)(205, 219)(206, 218)(208, 211)(209, 215)(212, 230)(214, 229)(221, 231)(222, 240)(223, 242)(224, 243)(225, 244)(226, 239)(227, 245)(228, 241)(232, 247)(233, 249)(234, 250)(235, 251)(236, 246)(237, 252)(238, 248)(253, 265)(254, 267)(255, 268)(256, 269)(257, 270)(258, 266)(259, 271)(260, 273)(261, 274)(262, 275)(263, 276)(264, 272)(277, 286)(278, 285)(279, 284)(280, 283)(281, 288)(282, 287)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 314)(298, 309)(299, 312)(300, 307)(302, 317)(303, 308)(305, 306)(311, 327)(315, 335)(316, 332)(318, 337)(319, 339)(320, 336)(321, 338)(322, 326)(323, 340)(324, 341)(325, 342)(328, 344)(329, 346)(330, 343)(331, 345)(333, 347)(334, 348)(349, 362)(350, 364)(351, 361)(352, 363)(353, 365)(354, 366)(355, 368)(356, 370)(357, 367)(358, 369)(359, 371)(360, 372)(373, 383)(374, 380)(375, 382)(376, 381)(377, 379)(378, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1636
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1635 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^3, (Y3 * Y2)^16 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 15, 111, 207, 303)(9, 105, 201, 297, 17, 113, 209, 305)(10, 106, 202, 298, 18, 114, 210, 306)(11, 107, 203, 299, 19, 115, 211, 307)(13, 109, 205, 301, 21, 117, 213, 309)(14, 110, 206, 302, 22, 118, 214, 310)(16, 112, 208, 304, 23, 119, 215, 311)(20, 116, 212, 308, 27, 123, 219, 315)(24, 120, 216, 312, 31, 127, 223, 319)(25, 121, 217, 313, 32, 128, 224, 320)(26, 122, 218, 314, 33, 129, 225, 321)(28, 124, 220, 316, 34, 130, 226, 322)(29, 125, 221, 317, 35, 131, 227, 323)(30, 126, 222, 318, 36, 132, 228, 324)(37, 133, 229, 325, 43, 139, 235, 331)(38, 134, 230, 326, 44, 140, 236, 332)(39, 135, 231, 327, 45, 141, 237, 333)(40, 136, 232, 328, 46, 142, 238, 334)(41, 137, 233, 329, 47, 143, 239, 335)(42, 138, 234, 330, 48, 144, 240, 336)(49, 145, 241, 337, 55, 151, 247, 343)(50, 146, 242, 338, 56, 152, 248, 344)(51, 147, 243, 339, 57, 153, 249, 345)(52, 148, 244, 340, 58, 154, 250, 346)(53, 149, 245, 341, 59, 155, 251, 347)(54, 150, 246, 342, 60, 156, 252, 348)(61, 157, 253, 349, 67, 163, 259, 355)(62, 158, 254, 350, 68, 164, 260, 356)(63, 159, 255, 351, 69, 165, 261, 357)(64, 160, 256, 352, 70, 166, 262, 358)(65, 161, 257, 353, 71, 167, 263, 359)(66, 162, 258, 354, 72, 168, 264, 360)(73, 169, 265, 361, 79, 175, 271, 367)(74, 170, 266, 362, 80, 176, 272, 368)(75, 171, 267, 363, 81, 177, 273, 369)(76, 172, 268, 364, 82, 178, 274, 370)(77, 173, 269, 365, 83, 179, 275, 371)(78, 174, 270, 366, 84, 180, 276, 372)(85, 181, 277, 373, 91, 187, 283, 379)(86, 182, 278, 374, 92, 188, 284, 380)(87, 183, 279, 375, 93, 189, 285, 381)(88, 184, 280, 376, 94, 190, 286, 382)(89, 185, 281, 377, 95, 191, 287, 383)(90, 186, 282, 378, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 112)(9, 100)(10, 111)(11, 101)(12, 116)(13, 102)(14, 115)(15, 106)(16, 104)(17, 120)(18, 122)(19, 110)(20, 108)(21, 124)(22, 126)(23, 125)(24, 113)(25, 123)(26, 114)(27, 121)(28, 117)(29, 119)(30, 118)(31, 133)(32, 135)(33, 134)(34, 136)(35, 138)(36, 137)(37, 127)(38, 129)(39, 128)(40, 130)(41, 132)(42, 131)(43, 145)(44, 147)(45, 146)(46, 148)(47, 150)(48, 149)(49, 139)(50, 141)(51, 140)(52, 142)(53, 144)(54, 143)(55, 157)(56, 159)(57, 158)(58, 160)(59, 162)(60, 161)(61, 151)(62, 153)(63, 152)(64, 154)(65, 156)(66, 155)(67, 169)(68, 171)(69, 170)(70, 172)(71, 174)(72, 173)(73, 163)(74, 165)(75, 164)(76, 166)(77, 168)(78, 167)(79, 181)(80, 183)(81, 182)(82, 184)(83, 186)(84, 185)(85, 175)(86, 177)(87, 176)(88, 178)(89, 180)(90, 179)(91, 190)(92, 192)(93, 191)(94, 187)(95, 189)(96, 188)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 299)(200, 301)(201, 300)(202, 292)(203, 295)(204, 297)(205, 296)(206, 294)(207, 308)(208, 307)(209, 313)(210, 312)(211, 304)(212, 303)(213, 317)(214, 316)(215, 318)(216, 306)(217, 305)(218, 315)(219, 314)(220, 310)(221, 309)(222, 311)(223, 326)(224, 325)(225, 327)(226, 329)(227, 328)(228, 330)(229, 320)(230, 319)(231, 321)(232, 323)(233, 322)(234, 324)(235, 338)(236, 337)(237, 339)(238, 341)(239, 340)(240, 342)(241, 332)(242, 331)(243, 333)(244, 335)(245, 334)(246, 336)(247, 350)(248, 349)(249, 351)(250, 353)(251, 352)(252, 354)(253, 344)(254, 343)(255, 345)(256, 347)(257, 346)(258, 348)(259, 362)(260, 361)(261, 363)(262, 365)(263, 364)(264, 366)(265, 356)(266, 355)(267, 357)(268, 359)(269, 358)(270, 360)(271, 374)(272, 373)(273, 375)(274, 377)(275, 376)(276, 378)(277, 368)(278, 367)(279, 369)(280, 371)(281, 370)(282, 372)(283, 383)(284, 382)(285, 384)(286, 380)(287, 379)(288, 381)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1633
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1636 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 18, 114, 210, 306)(10, 106, 202, 298, 19, 115, 211, 307)(11, 107, 203, 299, 21, 117, 213, 309)(13, 109, 205, 301, 23, 119, 215, 311)(14, 110, 206, 302, 24, 120, 216, 312)(15, 111, 207, 303, 26, 122, 218, 314)(17, 113, 209, 305, 28, 124, 220, 316)(20, 116, 212, 308, 33, 129, 225, 321)(22, 118, 214, 310, 35, 131, 227, 323)(25, 121, 217, 313, 40, 136, 232, 328)(27, 123, 219, 315, 42, 138, 234, 330)(29, 125, 221, 317, 44, 140, 236, 332)(30, 126, 222, 318, 45, 141, 237, 333)(31, 127, 223, 319, 46, 142, 238, 334)(32, 128, 224, 320, 48, 144, 240, 336)(34, 130, 226, 322, 50, 146, 242, 338)(36, 132, 228, 324, 52, 148, 244, 340)(37, 133, 229, 325, 53, 149, 245, 341)(38, 134, 230, 326, 54, 150, 246, 342)(39, 135, 231, 327, 55, 151, 247, 343)(41, 137, 233, 329, 57, 153, 249, 345)(43, 139, 235, 331, 59, 155, 251, 347)(47, 143, 239, 335, 64, 160, 256, 352)(49, 145, 241, 337, 66, 162, 258, 354)(51, 147, 243, 339, 68, 164, 260, 356)(56, 152, 248, 344, 73, 169, 265, 361)(58, 154, 250, 346, 75, 171, 267, 363)(60, 156, 252, 348, 77, 173, 269, 365)(61, 157, 253, 349, 78, 174, 270, 366)(62, 158, 254, 350, 79, 175, 271, 367)(63, 159, 255, 351, 80, 176, 272, 368)(65, 161, 257, 353, 81, 177, 273, 369)(67, 163, 259, 355, 83, 179, 275, 371)(69, 165, 261, 357, 85, 181, 277, 373)(70, 166, 262, 358, 86, 182, 278, 374)(71, 167, 263, 359, 87, 183, 279, 375)(72, 168, 264, 360, 88, 184, 280, 376)(74, 170, 266, 362, 89, 185, 281, 377)(76, 172, 268, 364, 91, 187, 283, 379)(82, 178, 274, 370, 93, 189, 285, 381)(84, 180, 276, 372, 95, 191, 287, 383)(90, 186, 282, 378, 96, 192, 288, 384)(92, 188, 284, 380, 94, 190, 286, 382)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 112)(11, 101)(12, 118)(13, 102)(14, 117)(15, 121)(16, 106)(17, 104)(18, 125)(19, 127)(20, 128)(21, 110)(22, 108)(23, 132)(24, 134)(25, 111)(26, 137)(27, 136)(28, 133)(29, 114)(30, 131)(31, 115)(32, 116)(33, 145)(34, 144)(35, 126)(36, 119)(37, 124)(38, 120)(39, 143)(40, 123)(41, 122)(42, 154)(43, 153)(44, 156)(45, 158)(46, 157)(47, 135)(48, 130)(49, 129)(50, 163)(51, 162)(52, 165)(53, 167)(54, 166)(55, 161)(56, 160)(57, 139)(58, 138)(59, 172)(60, 140)(61, 142)(62, 141)(63, 171)(64, 152)(65, 151)(66, 147)(67, 146)(68, 180)(69, 148)(70, 150)(71, 149)(72, 179)(73, 178)(74, 177)(75, 159)(76, 155)(77, 188)(78, 184)(79, 187)(80, 182)(81, 170)(82, 169)(83, 168)(84, 164)(85, 192)(86, 176)(87, 191)(88, 174)(89, 190)(90, 189)(91, 175)(92, 173)(93, 186)(94, 185)(95, 183)(96, 181)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 301)(201, 300)(202, 292)(203, 308)(204, 297)(205, 296)(206, 294)(207, 295)(208, 315)(209, 314)(210, 318)(211, 317)(212, 299)(213, 322)(214, 321)(215, 325)(216, 324)(217, 327)(218, 305)(219, 304)(220, 331)(221, 307)(222, 306)(223, 330)(224, 335)(225, 310)(226, 309)(227, 339)(228, 312)(229, 311)(230, 338)(231, 313)(232, 344)(233, 343)(234, 319)(235, 316)(236, 349)(237, 348)(238, 351)(239, 320)(240, 353)(241, 352)(242, 326)(243, 323)(244, 358)(245, 357)(246, 360)(247, 329)(248, 328)(249, 362)(250, 361)(251, 359)(252, 333)(253, 332)(254, 356)(255, 334)(256, 337)(257, 336)(258, 370)(259, 369)(260, 350)(261, 341)(262, 340)(263, 347)(264, 342)(265, 346)(266, 345)(267, 378)(268, 377)(269, 379)(270, 380)(271, 375)(272, 376)(273, 355)(274, 354)(275, 382)(276, 381)(277, 383)(278, 384)(279, 367)(280, 368)(281, 364)(282, 363)(283, 365)(284, 366)(285, 372)(286, 371)(287, 373)(288, 374)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1634
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1637 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y2 * Y1 * Y3^2, R * Y2 * R * Y1, (R * Y3)^2, Y1 * Y2 * Y3^4, Y3 * Y2 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 6, 102, 198, 294, 15, 111, 207, 303, 9, 105, 201, 297, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 3, 99, 195, 291, 10, 106, 202, 298, 14, 110, 206, 302, 8, 104, 200, 296)(11, 107, 203, 299, 19, 115, 211, 307, 12, 108, 204, 300, 21, 117, 213, 309, 13, 109, 205, 301, 20, 116, 212, 308)(16, 112, 208, 304, 22, 118, 214, 310, 17, 113, 209, 305, 24, 120, 216, 312, 18, 114, 210, 306, 23, 119, 215, 311)(25, 121, 217, 313, 31, 127, 223, 319, 26, 122, 218, 314, 33, 129, 225, 321, 27, 123, 219, 315, 32, 128, 224, 320)(28, 124, 220, 316, 34, 130, 226, 322, 29, 125, 221, 317, 36, 132, 228, 324, 30, 126, 222, 318, 35, 131, 227, 323)(37, 133, 229, 325, 43, 139, 235, 331, 38, 134, 230, 326, 45, 141, 237, 333, 39, 135, 231, 327, 44, 140, 236, 332)(40, 136, 232, 328, 46, 142, 238, 334, 41, 137, 233, 329, 48, 144, 240, 336, 42, 138, 234, 330, 47, 143, 239, 335)(49, 145, 241, 337, 55, 151, 247, 343, 50, 146, 242, 338, 57, 153, 249, 345, 51, 147, 243, 339, 56, 152, 248, 344)(52, 148, 244, 340, 58, 154, 250, 346, 53, 149, 245, 341, 60, 156, 252, 348, 54, 150, 246, 342, 59, 155, 251, 347)(61, 157, 253, 349, 67, 163, 259, 355, 62, 158, 254, 350, 69, 165, 261, 357, 63, 159, 255, 351, 68, 164, 260, 356)(64, 160, 256, 352, 70, 166, 262, 358, 65, 161, 257, 353, 72, 168, 264, 360, 66, 162, 258, 354, 71, 167, 263, 359)(73, 169, 265, 361, 79, 175, 271, 367, 74, 170, 266, 362, 81, 177, 273, 369, 75, 171, 267, 363, 80, 176, 272, 368)(76, 172, 268, 364, 82, 178, 274, 370, 77, 173, 269, 365, 84, 180, 276, 372, 78, 174, 270, 366, 83, 179, 275, 371)(85, 181, 277, 373, 91, 187, 283, 379, 86, 182, 278, 374, 93, 189, 285, 381, 87, 183, 279, 375, 92, 188, 284, 380)(88, 184, 280, 376, 94, 190, 286, 382, 89, 185, 281, 377, 96, 192, 288, 384, 90, 186, 282, 378, 95, 191, 287, 383)
	L = (1, 98)(2, 97)(3, 105)(4, 107)(5, 108)(6, 110)(7, 112)(8, 113)(9, 99)(10, 114)(11, 100)(12, 101)(13, 111)(14, 102)(15, 109)(16, 103)(17, 104)(18, 106)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 115)(26, 116)(27, 117)(28, 118)(29, 119)(30, 120)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 127)(38, 128)(39, 129)(40, 130)(41, 131)(42, 132)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 139)(50, 140)(51, 141)(52, 142)(53, 143)(54, 144)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 151)(62, 152)(63, 153)(64, 154)(65, 155)(66, 156)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 163)(74, 164)(75, 165)(76, 166)(77, 167)(78, 168)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 175)(86, 176)(87, 177)(88, 178)(89, 179)(90, 180)(91, 190)(92, 192)(93, 191)(94, 187)(95, 189)(96, 188)(193, 291)(194, 294)(195, 289)(196, 300)(197, 301)(198, 290)(199, 305)(200, 306)(201, 302)(202, 304)(203, 303)(204, 292)(205, 293)(206, 297)(207, 299)(208, 298)(209, 295)(210, 296)(211, 314)(212, 315)(213, 313)(214, 317)(215, 318)(216, 316)(217, 309)(218, 307)(219, 308)(220, 312)(221, 310)(222, 311)(223, 326)(224, 327)(225, 325)(226, 329)(227, 330)(228, 328)(229, 321)(230, 319)(231, 320)(232, 324)(233, 322)(234, 323)(235, 338)(236, 339)(237, 337)(238, 341)(239, 342)(240, 340)(241, 333)(242, 331)(243, 332)(244, 336)(245, 334)(246, 335)(247, 350)(248, 351)(249, 349)(250, 353)(251, 354)(252, 352)(253, 345)(254, 343)(255, 344)(256, 348)(257, 346)(258, 347)(259, 362)(260, 363)(261, 361)(262, 365)(263, 366)(264, 364)(265, 357)(266, 355)(267, 356)(268, 360)(269, 358)(270, 359)(271, 374)(272, 375)(273, 373)(274, 377)(275, 378)(276, 376)(277, 369)(278, 367)(279, 368)(280, 372)(281, 370)(282, 371)(283, 384)(284, 383)(285, 382)(286, 381)(287, 380)(288, 379)
	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 E17.1631
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.1638 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 473>$ (small group id <192, 473>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^6, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 34, 130, 226, 322, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 44, 140, 236, 332, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 18, 114, 210, 306, 37, 133, 229, 325, 29, 125, 221, 317, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 9, 105, 201, 297, 27, 123, 219, 315, 39, 135, 231, 327, 20, 116, 212, 308)(12, 108, 204, 300, 30, 126, 222, 318, 15, 111, 207, 303, 35, 131, 227, 323, 47, 143, 239, 335, 31, 127, 223, 319)(13, 109, 205, 301, 32, 128, 224, 320, 16, 112, 208, 304, 36, 132, 228, 324, 38, 134, 230, 326, 33, 129, 225, 321)(21, 117, 213, 309, 40, 136, 232, 328, 24, 120, 216, 312, 45, 141, 237, 333, 54, 150, 246, 342, 41, 137, 233, 329)(22, 118, 214, 310, 42, 138, 234, 330, 25, 121, 217, 313, 46, 142, 238, 334, 28, 124, 220, 316, 43, 139, 235, 331)(48, 144, 240, 336, 61, 157, 253, 349, 50, 146, 242, 338, 65, 161, 257, 353, 53, 149, 245, 341, 62, 158, 254, 350)(49, 145, 241, 337, 63, 159, 255, 351, 51, 147, 243, 339, 66, 162, 258, 354, 52, 148, 244, 340, 64, 160, 256, 352)(55, 151, 247, 343, 67, 163, 259, 355, 57, 153, 249, 345, 71, 167, 263, 359, 60, 156, 252, 348, 68, 164, 260, 356)(56, 152, 248, 344, 69, 165, 261, 357, 58, 154, 250, 346, 72, 168, 264, 360, 59, 155, 251, 347, 70, 166, 262, 358)(73, 169, 265, 361, 85, 181, 277, 373, 75, 171, 267, 363, 89, 185, 281, 377, 78, 174, 270, 366, 86, 182, 278, 374)(74, 170, 266, 362, 87, 183, 279, 375, 76, 172, 268, 364, 90, 186, 282, 378, 77, 173, 269, 365, 88, 184, 280, 376)(79, 175, 271, 367, 91, 187, 283, 379, 81, 177, 273, 369, 95, 191, 287, 383, 84, 180, 276, 372, 92, 188, 284, 380)(80, 176, 272, 368, 93, 189, 285, 381, 82, 178, 274, 370, 96, 192, 288, 384, 83, 179, 275, 371, 94, 190, 286, 382)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 124)(12, 100)(13, 123)(14, 122)(15, 101)(16, 115)(17, 119)(18, 102)(19, 112)(20, 134)(21, 103)(22, 133)(23, 113)(24, 104)(25, 106)(26, 110)(27, 109)(28, 107)(29, 135)(30, 144)(31, 146)(32, 147)(33, 148)(34, 143)(35, 149)(36, 145)(37, 118)(38, 116)(39, 125)(40, 151)(41, 153)(42, 154)(43, 155)(44, 150)(45, 156)(46, 152)(47, 130)(48, 126)(49, 132)(50, 127)(51, 128)(52, 129)(53, 131)(54, 140)(55, 136)(56, 142)(57, 137)(58, 138)(59, 139)(60, 141)(61, 169)(62, 171)(63, 172)(64, 173)(65, 174)(66, 170)(67, 175)(68, 177)(69, 178)(70, 179)(71, 180)(72, 176)(73, 157)(74, 162)(75, 158)(76, 159)(77, 160)(78, 161)(79, 163)(80, 168)(81, 164)(82, 165)(83, 166)(84, 167)(85, 190)(86, 189)(87, 188)(88, 187)(89, 192)(90, 191)(91, 184)(92, 183)(93, 182)(94, 181)(95, 186)(96, 185)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 314)(202, 309)(203, 312)(204, 307)(205, 292)(206, 317)(207, 308)(208, 293)(209, 306)(210, 305)(211, 300)(212, 303)(213, 298)(214, 295)(215, 327)(216, 299)(217, 296)(218, 297)(219, 335)(220, 332)(221, 302)(222, 337)(223, 339)(224, 336)(225, 338)(226, 326)(227, 340)(228, 341)(229, 342)(230, 322)(231, 311)(232, 344)(233, 346)(234, 343)(235, 345)(236, 316)(237, 347)(238, 348)(239, 315)(240, 320)(241, 318)(242, 321)(243, 319)(244, 323)(245, 324)(246, 325)(247, 330)(248, 328)(249, 331)(250, 329)(251, 333)(252, 334)(253, 362)(254, 364)(255, 361)(256, 363)(257, 365)(258, 366)(259, 368)(260, 370)(261, 367)(262, 369)(263, 371)(264, 372)(265, 351)(266, 349)(267, 352)(268, 350)(269, 353)(270, 354)(271, 357)(272, 355)(273, 358)(274, 356)(275, 359)(276, 360)(277, 383)(278, 380)(279, 382)(280, 381)(281, 379)(282, 384)(283, 377)(284, 374)(285, 376)(286, 375)(287, 373)(288, 378)
	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 E17.1632
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.1639 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3^-1 * Y1 * Y3, Y3^16 ]
Map:: non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 29, 125)(18, 114, 28, 124)(23, 119, 31, 127)(25, 121, 37, 133)(27, 123, 33, 129)(30, 126, 42, 138)(32, 128, 38, 134)(34, 130, 45, 141)(35, 131, 39, 135)(36, 132, 41, 137)(40, 136, 51, 147)(43, 139, 48, 144)(44, 140, 47, 143)(46, 142, 54, 150)(49, 145, 50, 146)(52, 148, 61, 157)(53, 149, 57, 153)(55, 151, 66, 162)(56, 152, 62, 158)(58, 154, 69, 165)(59, 155, 63, 159)(60, 156, 65, 161)(64, 160, 75, 171)(67, 163, 72, 168)(68, 164, 71, 167)(70, 166, 78, 174)(73, 169, 74, 170)(76, 172, 85, 181)(77, 173, 81, 177)(79, 175, 90, 186)(80, 176, 86, 182)(82, 178, 92, 188)(83, 179, 87, 183)(84, 180, 89, 185)(88, 184, 96, 192)(91, 187, 94, 190)(93, 189, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 212, 308)(204, 300, 219, 315)(205, 301, 208, 304)(206, 302, 218, 314)(207, 303, 217, 313)(211, 307, 223, 319)(213, 309, 220, 316)(214, 310, 226, 322)(215, 311, 227, 323)(216, 312, 230, 326)(221, 317, 233, 329)(222, 318, 225, 321)(224, 320, 232, 328)(228, 324, 238, 334)(229, 325, 239, 335)(231, 327, 242, 338)(234, 330, 245, 341)(235, 331, 237, 333)(236, 332, 244, 340)(240, 336, 250, 346)(241, 337, 251, 347)(243, 339, 254, 350)(246, 342, 257, 353)(247, 343, 249, 345)(248, 344, 256, 352)(252, 348, 262, 358)(253, 349, 263, 359)(255, 351, 266, 362)(258, 354, 269, 365)(259, 355, 261, 357)(260, 356, 268, 364)(264, 360, 274, 370)(265, 361, 275, 371)(267, 363, 278, 374)(270, 366, 281, 377)(271, 367, 273, 369)(272, 368, 280, 376)(276, 372, 285, 381)(277, 373, 286, 382)(279, 375, 287, 383)(282, 378, 288, 384)(283, 379, 284, 380)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 210)(10, 217)(11, 195)(12, 220)(13, 222)(14, 223)(15, 197)(16, 203)(17, 226)(18, 198)(19, 218)(20, 227)(21, 219)(22, 200)(23, 201)(24, 211)(25, 232)(26, 213)(27, 233)(28, 206)(29, 204)(30, 235)(31, 230)(32, 207)(33, 208)(34, 238)(35, 239)(36, 214)(37, 215)(38, 242)(39, 216)(40, 244)(41, 245)(42, 221)(43, 247)(44, 224)(45, 225)(46, 250)(47, 251)(48, 228)(49, 229)(50, 254)(51, 231)(52, 256)(53, 257)(54, 234)(55, 259)(56, 236)(57, 237)(58, 262)(59, 263)(60, 240)(61, 241)(62, 266)(63, 243)(64, 268)(65, 269)(66, 246)(67, 271)(68, 248)(69, 249)(70, 274)(71, 275)(72, 252)(73, 253)(74, 278)(75, 255)(76, 280)(77, 281)(78, 258)(79, 283)(80, 260)(81, 261)(82, 285)(83, 286)(84, 264)(85, 265)(86, 287)(87, 267)(88, 284)(89, 288)(90, 270)(91, 272)(92, 273)(93, 277)(94, 276)(95, 282)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1641
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1640 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y2 * Y3 * Y1 * Y2 * Y3^-2 * Y1 * Y3, Y3^4 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 34, 130)(18, 114, 36, 132)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 52, 148)(31, 127, 54, 150)(32, 128, 44, 140)(35, 131, 56, 152)(38, 134, 63, 159)(39, 135, 64, 160)(40, 136, 65, 161)(41, 137, 67, 163)(42, 138, 57, 153)(45, 141, 71, 167)(46, 142, 72, 168)(47, 143, 73, 169)(48, 144, 75, 171)(49, 145, 76, 172)(53, 149, 68, 164)(55, 151, 66, 162)(58, 154, 86, 182)(59, 155, 84, 180)(60, 156, 70, 166)(61, 157, 87, 183)(62, 158, 82, 178)(69, 165, 81, 177)(74, 170, 80, 176)(77, 173, 85, 181)(78, 174, 89, 185)(79, 175, 88, 184)(83, 179, 90, 186)(91, 187, 94, 190)(92, 188, 96, 192)(93, 189, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 212, 308)(204, 300, 219, 315)(205, 301, 208, 304)(206, 302, 218, 314)(207, 303, 217, 313)(211, 307, 229, 325)(213, 309, 228, 324)(214, 310, 227, 323)(215, 311, 232, 328)(216, 312, 236, 332)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 225, 321)(223, 319, 237, 333)(224, 320, 239, 335)(226, 322, 249, 345)(230, 326, 253, 349)(231, 327, 254, 350)(233, 329, 250, 346)(234, 330, 252, 348)(235, 331, 258, 354)(238, 334, 262, 358)(242, 338, 263, 359)(243, 339, 267, 363)(244, 340, 269, 365)(245, 341, 248, 344)(246, 342, 264, 360)(247, 343, 266, 362)(251, 347, 265, 361)(255, 351, 278, 374)(256, 352, 279, 375)(257, 353, 273, 369)(259, 355, 276, 372)(260, 356, 275, 371)(261, 357, 268, 364)(270, 366, 284, 380)(271, 367, 283, 379)(272, 368, 285, 381)(274, 370, 277, 373)(280, 376, 288, 384)(281, 377, 287, 383)(282, 378, 286, 382)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 210)(10, 217)(11, 195)(12, 220)(13, 222)(14, 223)(15, 197)(16, 203)(17, 227)(18, 198)(19, 230)(20, 232)(21, 233)(22, 200)(23, 201)(24, 237)(25, 239)(26, 240)(27, 241)(28, 206)(29, 204)(30, 245)(31, 236)(32, 207)(33, 208)(34, 250)(35, 252)(36, 253)(37, 254)(38, 213)(39, 211)(40, 258)(41, 249)(42, 214)(43, 215)(44, 262)(45, 218)(46, 216)(47, 266)(48, 219)(49, 269)(50, 270)(51, 272)(52, 221)(53, 274)(54, 271)(55, 224)(56, 225)(57, 265)(58, 228)(59, 226)(60, 275)(61, 229)(62, 273)(63, 280)(64, 282)(65, 231)(66, 268)(67, 281)(68, 234)(69, 235)(70, 251)(71, 283)(72, 260)(73, 238)(74, 259)(75, 284)(76, 285)(77, 257)(78, 243)(79, 242)(80, 261)(81, 244)(82, 286)(83, 246)(84, 247)(85, 248)(86, 287)(87, 288)(88, 256)(89, 255)(90, 277)(91, 264)(92, 263)(93, 267)(94, 279)(95, 276)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1642
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1641 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^3, Y1^2 * Y3^-1, (Y2 * Y3^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: non-degenerate
	R = (1, 97, 2, 98, 4, 100, 8, 104, 6, 102, 5, 101)(3, 99, 9, 105, 10, 106, 18, 114, 12, 108, 11, 107)(7, 103, 14, 110, 13, 109, 20, 116, 16, 112, 15, 111)(17, 113, 23, 119, 19, 115, 26, 122, 25, 121, 24, 120)(21, 117, 28, 124, 22, 118, 30, 126, 27, 123, 29, 125)(31, 127, 37, 133, 32, 128, 39, 135, 33, 129, 38, 134)(34, 130, 40, 136, 35, 131, 42, 138, 36, 132, 41, 137)(43, 139, 49, 145, 44, 140, 51, 147, 45, 141, 50, 146)(46, 142, 52, 148, 47, 143, 54, 150, 48, 144, 53, 149)(55, 151, 61, 157, 56, 152, 63, 159, 57, 153, 62, 158)(58, 154, 64, 160, 59, 155, 66, 162, 60, 156, 65, 161)(67, 163, 73, 169, 68, 164, 75, 171, 69, 165, 74, 170)(70, 166, 76, 172, 71, 167, 78, 174, 72, 168, 77, 173)(79, 175, 85, 181, 80, 176, 87, 183, 81, 177, 86, 182)(82, 178, 88, 184, 83, 179, 90, 186, 84, 180, 89, 185)(91, 187, 94, 190, 92, 188, 95, 191, 93, 189, 96, 192)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 204, 300)(197, 293, 205, 301)(198, 294, 202, 298)(200, 296, 208, 304)(201, 297, 209, 305)(203, 299, 211, 307)(206, 302, 213, 309)(207, 303, 214, 310)(210, 306, 217, 313)(212, 308, 219, 315)(215, 311, 223, 319)(216, 312, 224, 320)(218, 314, 225, 321)(220, 316, 226, 322)(221, 317, 227, 323)(222, 318, 228, 324)(229, 325, 235, 331)(230, 326, 236, 332)(231, 327, 237, 333)(232, 328, 238, 334)(233, 329, 239, 335)(234, 330, 240, 336)(241, 337, 247, 343)(242, 338, 248, 344)(243, 339, 249, 345)(244, 340, 250, 346)(245, 341, 251, 347)(246, 342, 252, 348)(253, 349, 259, 355)(254, 350, 260, 356)(255, 351, 261, 357)(256, 352, 262, 358)(257, 353, 263, 359)(258, 354, 264, 360)(265, 361, 271, 367)(266, 362, 272, 368)(267, 363, 273, 369)(268, 364, 274, 370)(269, 365, 275, 371)(270, 366, 276, 372)(277, 373, 283, 379)(278, 374, 284, 380)(279, 375, 285, 381)(280, 376, 286, 382)(281, 377, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 198)(5, 194)(6, 193)(7, 205)(8, 197)(9, 210)(10, 204)(11, 201)(12, 195)(13, 208)(14, 212)(15, 206)(16, 199)(17, 211)(18, 203)(19, 217)(20, 207)(21, 214)(22, 219)(23, 218)(24, 215)(25, 209)(26, 216)(27, 213)(28, 222)(29, 220)(30, 221)(31, 224)(32, 225)(33, 223)(34, 227)(35, 228)(36, 226)(37, 231)(38, 229)(39, 230)(40, 234)(41, 232)(42, 233)(43, 236)(44, 237)(45, 235)(46, 239)(47, 240)(48, 238)(49, 243)(50, 241)(51, 242)(52, 246)(53, 244)(54, 245)(55, 248)(56, 249)(57, 247)(58, 251)(59, 252)(60, 250)(61, 255)(62, 253)(63, 254)(64, 258)(65, 256)(66, 257)(67, 260)(68, 261)(69, 259)(70, 263)(71, 264)(72, 262)(73, 267)(74, 265)(75, 266)(76, 270)(77, 268)(78, 269)(79, 272)(80, 273)(81, 271)(82, 275)(83, 276)(84, 274)(85, 279)(86, 277)(87, 278)(88, 282)(89, 280)(90, 281)(91, 284)(92, 285)(93, 283)(94, 287)(95, 288)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1639
Graph:: bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1642 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C3 x D16) : C2 (small group id <96, 33>)
Aut   = $<192, 469>$ (small group id <192, 469>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3^-1)^2, Y1^2 * Y3^2, (R * Y3)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3 * Y2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-3, Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 18, 114, 15, 111, 5, 101)(3, 99, 11, 107, 25, 121, 35, 131, 19, 115, 13, 109)(4, 100, 9, 105, 6, 102, 10, 106, 20, 116, 16, 112)(8, 104, 21, 117, 17, 113, 32, 128, 33, 129, 23, 119)(12, 108, 27, 123, 14, 110, 28, 124, 34, 130, 29, 125)(22, 118, 37, 133, 24, 120, 38, 134, 31, 127, 39, 135)(26, 122, 41, 137, 30, 126, 46, 142, 48, 144, 43, 139)(36, 132, 49, 145, 40, 136, 54, 150, 47, 143, 51, 147)(42, 138, 56, 152, 44, 140, 57, 153, 45, 141, 58, 154)(50, 146, 62, 158, 52, 148, 63, 159, 53, 149, 64, 160)(55, 151, 67, 163, 59, 155, 72, 168, 60, 156, 69, 165)(61, 157, 73, 169, 65, 161, 78, 174, 66, 162, 75, 171)(68, 164, 80, 176, 70, 166, 81, 177, 71, 167, 82, 178)(74, 170, 86, 182, 76, 172, 87, 183, 77, 173, 88, 184)(79, 175, 91, 187, 83, 179, 96, 192, 84, 180, 93, 189)(85, 181, 92, 188, 89, 185, 94, 190, 90, 186, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 211, 307)(201, 297, 216, 312)(202, 298, 214, 310)(203, 299, 218, 314)(205, 301, 222, 318)(207, 303, 217, 313)(208, 304, 223, 319)(210, 306, 225, 321)(212, 308, 226, 322)(213, 309, 228, 324)(215, 311, 232, 328)(219, 315, 236, 332)(220, 316, 234, 330)(221, 317, 237, 333)(224, 320, 239, 335)(227, 323, 240, 336)(229, 325, 244, 340)(230, 326, 242, 338)(231, 327, 245, 341)(233, 329, 247, 343)(235, 331, 251, 347)(238, 334, 252, 348)(241, 337, 253, 349)(243, 339, 257, 353)(246, 342, 258, 354)(248, 344, 262, 358)(249, 345, 260, 356)(250, 346, 263, 359)(254, 350, 268, 364)(255, 351, 266, 362)(256, 352, 269, 365)(259, 355, 271, 367)(261, 357, 275, 371)(264, 360, 276, 372)(265, 361, 277, 373)(267, 363, 281, 377)(270, 366, 282, 378)(272, 368, 286, 382)(273, 369, 284, 380)(274, 370, 287, 383)(278, 374, 285, 381)(279, 375, 288, 384)(280, 376, 283, 379)
	L = (1, 196)(2, 201)(3, 204)(4, 207)(5, 208)(6, 193)(7, 198)(8, 214)(9, 197)(10, 194)(11, 219)(12, 211)(13, 221)(14, 195)(15, 212)(16, 210)(17, 216)(18, 202)(19, 226)(20, 199)(21, 229)(22, 225)(23, 231)(24, 200)(25, 206)(26, 234)(27, 205)(28, 203)(29, 227)(30, 236)(31, 209)(32, 230)(33, 223)(34, 217)(35, 220)(36, 242)(37, 215)(38, 213)(39, 224)(40, 244)(41, 248)(42, 240)(43, 250)(44, 218)(45, 222)(46, 249)(47, 245)(48, 237)(49, 254)(50, 239)(51, 256)(52, 228)(53, 232)(54, 255)(55, 260)(56, 235)(57, 233)(58, 238)(59, 262)(60, 263)(61, 266)(62, 243)(63, 241)(64, 246)(65, 268)(66, 269)(67, 272)(68, 252)(69, 274)(70, 247)(71, 251)(72, 273)(73, 278)(74, 258)(75, 280)(76, 253)(77, 257)(78, 279)(79, 284)(80, 261)(81, 259)(82, 264)(83, 286)(84, 287)(85, 288)(86, 267)(87, 265)(88, 270)(89, 285)(90, 283)(91, 281)(92, 276)(93, 277)(94, 271)(95, 275)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1640
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1643 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1)^6, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 21, 117)(16, 112, 19, 115)(17, 113, 28, 124)(18, 114, 29, 125)(22, 118, 34, 130)(24, 120, 37, 133)(25, 121, 36, 132)(26, 122, 39, 135)(27, 123, 40, 136)(30, 126, 44, 140)(31, 127, 43, 139)(32, 128, 46, 142)(33, 129, 47, 143)(35, 131, 49, 145)(38, 134, 53, 149)(41, 137, 48, 144)(42, 138, 57, 153)(45, 141, 61, 157)(50, 146, 67, 163)(51, 147, 66, 162)(52, 148, 63, 159)(54, 150, 64, 160)(55, 151, 60, 156)(56, 152, 62, 158)(58, 154, 74, 170)(59, 155, 73, 169)(65, 161, 72, 168)(68, 164, 82, 178)(69, 165, 81, 177)(70, 166, 78, 174)(71, 167, 77, 173)(75, 171, 87, 183)(76, 172, 86, 182)(79, 175, 85, 181)(80, 176, 84, 180)(83, 179, 91, 187)(88, 184, 94, 190)(89, 185, 93, 189)(90, 186, 92, 188)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 217, 313)(209, 305, 219, 315)(211, 307, 222, 318)(212, 308, 223, 319)(214, 310, 225, 321)(215, 311, 227, 323)(218, 314, 230, 326)(220, 316, 231, 327)(221, 317, 234, 330)(224, 320, 237, 333)(226, 322, 238, 334)(228, 324, 242, 338)(229, 325, 243, 339)(232, 328, 247, 343)(233, 329, 246, 342)(235, 331, 250, 346)(236, 332, 251, 347)(239, 335, 255, 351)(240, 336, 254, 350)(241, 337, 257, 353)(244, 340, 260, 356)(245, 341, 261, 357)(248, 344, 263, 359)(249, 345, 264, 360)(252, 348, 267, 363)(253, 349, 268, 364)(256, 352, 270, 366)(258, 354, 271, 367)(259, 355, 272, 368)(262, 358, 275, 371)(265, 361, 276, 372)(266, 362, 277, 373)(269, 365, 280, 376)(273, 369, 281, 377)(274, 370, 282, 378)(278, 374, 284, 380)(279, 375, 285, 381)(283, 379, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 218)(16, 219)(17, 201)(18, 222)(19, 202)(20, 224)(21, 225)(22, 204)(23, 228)(24, 205)(25, 230)(26, 207)(27, 208)(28, 233)(29, 235)(30, 210)(31, 237)(32, 212)(33, 213)(34, 240)(35, 242)(36, 215)(37, 244)(38, 217)(39, 246)(40, 248)(41, 220)(42, 250)(43, 221)(44, 252)(45, 223)(46, 254)(47, 256)(48, 226)(49, 258)(50, 227)(51, 260)(52, 229)(53, 262)(54, 231)(55, 263)(56, 232)(57, 265)(58, 234)(59, 267)(60, 236)(61, 269)(62, 238)(63, 270)(64, 239)(65, 271)(66, 241)(67, 273)(68, 243)(69, 275)(70, 245)(71, 247)(72, 276)(73, 249)(74, 278)(75, 251)(76, 280)(77, 253)(78, 255)(79, 257)(80, 281)(81, 259)(82, 283)(83, 261)(84, 264)(85, 284)(86, 266)(87, 286)(88, 268)(89, 272)(90, 287)(91, 274)(92, 277)(93, 288)(94, 279)(95, 282)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1650
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1644 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y3, (Y3^-1 * Y1 * Y3^-1)^2, Y3^8, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 34, 130)(18, 114, 36, 132)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 52, 148)(31, 127, 54, 150)(32, 128, 44, 140)(35, 131, 55, 151)(38, 134, 62, 158)(39, 135, 63, 159)(40, 136, 64, 160)(41, 137, 66, 162)(42, 138, 56, 152)(45, 141, 68, 164)(46, 142, 69, 165)(47, 143, 70, 166)(48, 144, 71, 167)(49, 145, 72, 168)(53, 149, 65, 161)(57, 153, 78, 174)(58, 154, 79, 175)(59, 155, 80, 176)(60, 156, 81, 177)(61, 157, 82, 178)(67, 163, 87, 183)(73, 169, 84, 180)(74, 170, 83, 179)(75, 171, 86, 182)(76, 172, 85, 181)(77, 173, 92, 188)(88, 184, 96, 192)(89, 185, 94, 190)(90, 186, 95, 191)(91, 187, 93, 189)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 212, 308)(204, 300, 219, 315)(205, 301, 208, 304)(206, 302, 218, 314)(207, 303, 217, 313)(211, 307, 229, 325)(213, 309, 228, 324)(214, 310, 227, 323)(215, 311, 232, 328)(216, 312, 236, 332)(220, 316, 240, 336)(221, 317, 241, 337)(222, 318, 225, 321)(223, 319, 237, 333)(224, 320, 239, 335)(226, 322, 248, 344)(230, 326, 252, 348)(231, 327, 253, 349)(233, 329, 249, 345)(234, 330, 251, 347)(235, 331, 257, 353)(238, 334, 259, 355)(242, 338, 260, 356)(243, 339, 263, 359)(244, 340, 262, 358)(245, 341, 247, 343)(246, 342, 261, 357)(250, 346, 269, 365)(254, 350, 270, 366)(255, 351, 273, 369)(256, 352, 272, 368)(258, 354, 271, 367)(264, 360, 279, 375)(265, 361, 281, 377)(266, 362, 280, 376)(267, 363, 283, 379)(268, 364, 282, 378)(274, 370, 284, 380)(275, 371, 286, 382)(276, 372, 285, 381)(277, 373, 288, 384)(278, 374, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 210)(10, 217)(11, 195)(12, 220)(13, 222)(14, 223)(15, 197)(16, 203)(17, 227)(18, 198)(19, 230)(20, 232)(21, 233)(22, 200)(23, 201)(24, 237)(25, 239)(26, 240)(27, 241)(28, 206)(29, 204)(30, 245)(31, 236)(32, 207)(33, 208)(34, 249)(35, 251)(36, 252)(37, 253)(38, 213)(39, 211)(40, 257)(41, 248)(42, 214)(43, 215)(44, 259)(45, 218)(46, 216)(47, 247)(48, 219)(49, 262)(50, 265)(51, 267)(52, 221)(53, 224)(54, 266)(55, 225)(56, 269)(57, 228)(58, 226)(59, 235)(60, 229)(61, 272)(62, 275)(63, 277)(64, 231)(65, 234)(66, 276)(67, 244)(68, 280)(69, 282)(70, 238)(71, 281)(72, 283)(73, 243)(74, 242)(75, 279)(76, 246)(77, 256)(78, 285)(79, 287)(80, 250)(81, 286)(82, 288)(83, 255)(84, 254)(85, 284)(86, 258)(87, 268)(88, 261)(89, 260)(90, 264)(91, 263)(92, 278)(93, 271)(94, 270)(95, 274)(96, 273)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.1651
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1645 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 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, 37, 133)(29, 125, 35, 131)(32, 128, 50, 146)(34, 130, 53, 149)(39, 135, 57, 153)(40, 136, 55, 151)(42, 138, 51, 147)(43, 139, 56, 152)(45, 141, 60, 156)(46, 142, 49, 145)(47, 143, 52, 148)(48, 144, 64, 160)(54, 150, 67, 163)(58, 154, 73, 169)(59, 155, 74, 170)(61, 157, 72, 168)(62, 158, 70, 166)(63, 159, 69, 165)(65, 161, 79, 175)(66, 162, 80, 176)(68, 164, 78, 174)(71, 167, 83, 179)(75, 171, 86, 182)(76, 172, 88, 184)(77, 173, 89, 185)(81, 177, 92, 188)(82, 178, 94, 190)(84, 180, 90, 186)(85, 181, 93, 189)(87, 183, 91, 187)(95, 191, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 238, 334)(222, 318, 235, 331)(223, 319, 240, 336)(225, 321, 243, 339)(227, 323, 246, 342)(228, 324, 247, 343)(230, 326, 244, 340)(232, 328, 250, 346)(233, 329, 251, 347)(236, 332, 253, 349)(239, 335, 255, 351)(241, 337, 257, 353)(242, 338, 258, 354)(245, 341, 260, 356)(248, 344, 262, 358)(249, 345, 263, 359)(252, 348, 267, 363)(254, 350, 268, 364)(256, 352, 269, 365)(259, 355, 273, 369)(261, 357, 274, 370)(264, 360, 276, 372)(265, 361, 277, 373)(266, 362, 279, 375)(270, 366, 282, 378)(271, 367, 283, 379)(272, 368, 285, 381)(275, 371, 284, 380)(278, 374, 281, 377)(280, 376, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 239)(29, 208)(30, 234)(31, 241)(32, 210)(33, 244)(34, 246)(35, 212)(36, 248)(37, 213)(38, 243)(39, 250)(40, 215)(41, 252)(42, 222)(43, 217)(44, 254)(45, 218)(46, 255)(47, 220)(48, 257)(49, 223)(50, 259)(51, 230)(52, 225)(53, 261)(54, 226)(55, 262)(56, 228)(57, 264)(58, 231)(59, 267)(60, 233)(61, 268)(62, 236)(63, 238)(64, 270)(65, 240)(66, 273)(67, 242)(68, 274)(69, 245)(70, 247)(71, 276)(72, 249)(73, 278)(74, 280)(75, 251)(76, 253)(77, 282)(78, 256)(79, 284)(80, 286)(81, 258)(82, 260)(83, 283)(84, 263)(85, 281)(86, 265)(87, 287)(88, 266)(89, 277)(90, 269)(91, 275)(92, 271)(93, 288)(94, 272)(95, 279)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1649
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1646 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2 * Y1 * Y3^-1, (Y1 * Y2 * Y1 * Y3^-1)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 44, 140)(27, 123, 33, 129)(28, 124, 51, 147)(29, 125, 52, 148)(30, 126, 32, 128)(31, 127, 53, 149)(35, 131, 56, 152)(38, 134, 63, 159)(39, 135, 64, 160)(42, 138, 57, 153)(43, 139, 60, 156)(45, 141, 54, 150)(46, 142, 67, 163)(47, 143, 68, 164)(48, 144, 55, 151)(49, 145, 69, 165)(50, 146, 70, 166)(58, 154, 75, 171)(59, 155, 76, 172)(61, 157, 77, 173)(62, 158, 78, 174)(65, 161, 81, 177)(66, 162, 82, 178)(71, 167, 80, 176)(72, 168, 79, 175)(73, 169, 87, 183)(74, 170, 88, 184)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 89, 185)(86, 182, 90, 186)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 237, 333)(218, 314, 240, 336)(220, 316, 242, 338)(221, 317, 241, 337)(224, 320, 247, 343)(225, 321, 246, 342)(226, 322, 249, 345)(228, 324, 252, 348)(230, 326, 254, 350)(231, 327, 253, 349)(233, 329, 248, 344)(236, 332, 245, 341)(238, 334, 258, 354)(239, 335, 257, 353)(243, 339, 259, 355)(244, 340, 260, 356)(250, 346, 266, 362)(251, 347, 265, 361)(255, 351, 267, 363)(256, 352, 268, 364)(261, 357, 274, 370)(262, 358, 273, 369)(263, 359, 276, 372)(264, 360, 275, 371)(269, 365, 280, 376)(270, 366, 279, 375)(271, 367, 282, 378)(272, 368, 281, 377)(277, 373, 285, 381)(278, 374, 286, 382)(283, 379, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 236)(23, 201)(24, 238)(25, 203)(26, 239)(27, 241)(28, 206)(29, 204)(30, 242)(31, 246)(32, 248)(33, 207)(34, 250)(35, 209)(36, 251)(37, 253)(38, 212)(39, 210)(40, 254)(41, 247)(42, 245)(43, 213)(44, 215)(45, 257)(46, 218)(47, 216)(48, 258)(49, 222)(50, 219)(51, 263)(52, 264)(53, 235)(54, 233)(55, 223)(56, 225)(57, 265)(58, 228)(59, 226)(60, 266)(61, 232)(62, 229)(63, 271)(64, 272)(65, 240)(66, 237)(67, 275)(68, 276)(69, 277)(70, 278)(71, 244)(72, 243)(73, 252)(74, 249)(75, 281)(76, 282)(77, 283)(78, 284)(79, 256)(80, 255)(81, 285)(82, 286)(83, 260)(84, 259)(85, 262)(86, 261)(87, 287)(88, 288)(89, 268)(90, 267)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1652
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1647 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, Y3^8, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 16, 112)(7, 103, 19, 115)(8, 104, 21, 117)(10, 106, 24, 120)(11, 107, 25, 121)(13, 109, 22, 118)(15, 111, 20, 116)(17, 113, 34, 130)(18, 114, 35, 131)(23, 119, 40, 136)(26, 122, 43, 139)(27, 123, 49, 145)(28, 124, 50, 146)(29, 125, 46, 142)(30, 126, 33, 129)(31, 127, 53, 149)(32, 128, 54, 150)(36, 132, 55, 151)(37, 133, 61, 157)(38, 134, 62, 158)(39, 135, 58, 154)(41, 137, 65, 161)(42, 138, 66, 162)(44, 140, 67, 163)(45, 141, 68, 164)(47, 143, 70, 166)(48, 144, 71, 167)(51, 147, 63, 159)(52, 148, 75, 171)(56, 152, 77, 173)(57, 153, 78, 174)(59, 155, 80, 176)(60, 156, 81, 177)(64, 160, 85, 181)(69, 165, 90, 186)(72, 168, 83, 179)(73, 169, 82, 178)(74, 170, 86, 182)(76, 172, 84, 180)(79, 175, 95, 191)(87, 183, 92, 188)(88, 184, 94, 190)(89, 185, 93, 189)(91, 187, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 210, 306)(200, 296, 209, 305)(201, 297, 214, 310)(204, 300, 216, 312)(205, 301, 218, 314)(206, 302, 222, 318)(207, 303, 208, 304)(211, 307, 226, 322)(212, 308, 228, 324)(213, 309, 232, 328)(215, 311, 234, 330)(217, 313, 238, 334)(219, 315, 237, 333)(220, 316, 236, 332)(221, 317, 240, 336)(223, 319, 244, 340)(224, 320, 225, 321)(227, 323, 250, 346)(229, 325, 249, 345)(230, 326, 248, 344)(231, 327, 252, 348)(233, 329, 256, 352)(235, 331, 255, 351)(239, 335, 261, 357)(241, 337, 259, 355)(242, 338, 262, 358)(243, 339, 247, 343)(245, 341, 260, 356)(246, 342, 263, 359)(251, 347, 271, 367)(253, 349, 269, 365)(254, 350, 272, 368)(257, 353, 270, 366)(258, 354, 273, 369)(264, 360, 280, 376)(265, 361, 279, 375)(266, 362, 283, 379)(267, 363, 282, 378)(268, 364, 281, 377)(274, 370, 285, 381)(275, 371, 284, 380)(276, 372, 288, 384)(277, 373, 287, 383)(278, 374, 286, 382)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 209)(7, 212)(8, 194)(9, 215)(10, 208)(11, 195)(12, 219)(13, 221)(14, 223)(15, 197)(16, 225)(17, 201)(18, 198)(19, 229)(20, 231)(21, 233)(22, 200)(23, 235)(24, 236)(25, 239)(26, 203)(27, 206)(28, 204)(29, 243)(30, 237)(31, 246)(32, 207)(33, 247)(34, 248)(35, 251)(36, 210)(37, 213)(38, 211)(39, 255)(40, 249)(41, 258)(42, 214)(43, 252)(44, 217)(45, 216)(46, 220)(47, 263)(48, 218)(49, 264)(50, 266)(51, 224)(52, 222)(53, 265)(54, 261)(55, 240)(56, 227)(57, 226)(58, 230)(59, 273)(60, 228)(61, 274)(62, 276)(63, 234)(64, 232)(65, 275)(66, 271)(67, 279)(68, 281)(69, 238)(70, 280)(71, 244)(72, 242)(73, 241)(74, 282)(75, 283)(76, 245)(77, 284)(78, 286)(79, 250)(80, 285)(81, 256)(82, 254)(83, 253)(84, 287)(85, 288)(86, 257)(87, 260)(88, 259)(89, 267)(90, 268)(91, 262)(92, 270)(93, 269)(94, 277)(95, 278)(96, 272)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1654
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1648 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, (R * Y1)^2, (Y3^-1 * Y2)^2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, (Y2 * Y1 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 41, 137)(22, 118, 44, 140)(23, 119, 46, 142)(25, 121, 45, 141)(27, 123, 51, 147)(28, 124, 54, 150)(29, 125, 55, 151)(30, 126, 56, 152)(31, 127, 57, 153)(32, 128, 60, 156)(33, 129, 62, 158)(35, 131, 61, 157)(37, 133, 67, 163)(38, 134, 70, 166)(39, 135, 71, 167)(40, 136, 72, 168)(42, 138, 63, 159)(43, 139, 66, 162)(47, 143, 58, 154)(48, 144, 69, 165)(49, 145, 68, 164)(50, 146, 59, 155)(52, 148, 65, 161)(53, 149, 64, 160)(73, 169, 90, 186)(74, 170, 85, 181)(75, 171, 86, 182)(76, 172, 95, 191)(77, 173, 91, 187)(78, 174, 94, 190)(79, 175, 84, 180)(80, 176, 88, 184)(81, 177, 93, 189)(82, 178, 92, 188)(83, 179, 89, 185)(87, 183, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 235, 331)(215, 311, 234, 330)(216, 312, 239, 335)(218, 314, 242, 338)(220, 316, 245, 341)(221, 317, 244, 340)(224, 320, 251, 347)(225, 321, 250, 346)(226, 322, 255, 351)(228, 324, 258, 354)(230, 326, 261, 357)(231, 327, 260, 356)(233, 329, 265, 361)(236, 332, 269, 365)(237, 333, 268, 364)(238, 334, 272, 368)(240, 336, 274, 370)(241, 337, 273, 369)(243, 339, 267, 363)(246, 342, 270, 366)(247, 343, 271, 367)(248, 344, 266, 362)(249, 345, 276, 372)(252, 348, 280, 376)(253, 349, 279, 375)(254, 350, 283, 379)(256, 352, 285, 381)(257, 353, 284, 380)(259, 355, 278, 374)(262, 358, 281, 377)(263, 359, 282, 378)(264, 360, 277, 373)(275, 371, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 234)(22, 237)(23, 201)(24, 240)(25, 203)(26, 241)(27, 244)(28, 206)(29, 204)(30, 245)(31, 250)(32, 253)(33, 207)(34, 256)(35, 209)(36, 257)(37, 260)(38, 212)(39, 210)(40, 261)(41, 266)(42, 268)(43, 213)(44, 270)(45, 215)(46, 271)(47, 273)(48, 218)(49, 216)(50, 274)(51, 275)(52, 222)(53, 219)(54, 269)(55, 272)(56, 265)(57, 277)(58, 279)(59, 223)(60, 281)(61, 225)(62, 282)(63, 284)(64, 228)(65, 226)(66, 285)(67, 286)(68, 232)(69, 229)(70, 280)(71, 283)(72, 276)(73, 243)(74, 287)(75, 233)(76, 235)(77, 247)(78, 238)(79, 236)(80, 246)(81, 242)(82, 239)(83, 248)(84, 259)(85, 288)(86, 249)(87, 251)(88, 263)(89, 254)(90, 252)(91, 262)(92, 258)(93, 255)(94, 264)(95, 267)(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, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1653
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1649 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^6, Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 14, 110, 5, 101)(3, 99, 9, 105, 16, 112, 31, 127, 25, 121, 11, 107)(4, 100, 12, 108, 26, 122, 30, 126, 17, 113, 8, 104)(7, 103, 18, 114, 29, 125, 28, 124, 13, 109, 20, 116)(10, 106, 23, 119, 40, 136, 47, 143, 32, 128, 22, 118)(19, 115, 35, 131, 27, 123, 43, 139, 45, 141, 34, 130)(21, 117, 37, 133, 46, 142, 42, 138, 24, 120, 39, 135)(33, 129, 48, 144, 44, 140, 52, 148, 36, 132, 50, 146)(38, 134, 55, 151, 41, 137, 57, 153, 60, 156, 54, 150)(49, 145, 63, 159, 51, 147, 65, 161, 59, 155, 62, 158)(53, 149, 67, 163, 58, 154, 71, 167, 56, 152, 69, 165)(61, 157, 73, 169, 66, 162, 77, 173, 64, 160, 75, 171)(68, 164, 81, 177, 70, 166, 83, 179, 72, 168, 80, 176)(74, 170, 87, 183, 76, 172, 89, 185, 78, 174, 86, 182)(79, 175, 85, 181, 84, 180, 90, 186, 82, 178, 88, 184)(91, 187, 95, 191, 92, 188, 96, 192, 93, 189, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 213, 309)(203, 299, 216, 312)(204, 300, 219, 315)(206, 302, 217, 313)(207, 303, 221, 317)(209, 305, 224, 320)(210, 306, 225, 321)(212, 308, 228, 324)(214, 310, 230, 326)(215, 311, 233, 329)(218, 314, 232, 328)(220, 316, 236, 332)(222, 318, 237, 333)(223, 319, 238, 334)(226, 322, 241, 337)(227, 323, 243, 339)(229, 325, 245, 341)(231, 327, 248, 344)(234, 330, 250, 346)(235, 331, 251, 347)(239, 335, 252, 348)(240, 336, 253, 349)(242, 338, 256, 352)(244, 340, 258, 354)(246, 342, 260, 356)(247, 343, 262, 358)(249, 345, 264, 360)(254, 350, 266, 362)(255, 351, 268, 364)(257, 353, 270, 366)(259, 355, 271, 367)(261, 357, 274, 370)(263, 359, 276, 372)(265, 361, 277, 373)(267, 363, 280, 376)(269, 365, 282, 378)(272, 368, 283, 379)(273, 369, 284, 380)(275, 371, 285, 381)(278, 374, 286, 382)(279, 375, 287, 383)(281, 377, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 214)(10, 195)(11, 215)(12, 197)(13, 219)(14, 218)(15, 222)(16, 224)(17, 198)(18, 226)(19, 199)(20, 227)(21, 230)(22, 201)(23, 203)(24, 233)(25, 232)(26, 206)(27, 205)(28, 235)(29, 237)(30, 207)(31, 239)(32, 208)(33, 241)(34, 210)(35, 212)(36, 243)(37, 246)(38, 213)(39, 247)(40, 217)(41, 216)(42, 249)(43, 220)(44, 251)(45, 221)(46, 252)(47, 223)(48, 254)(49, 225)(50, 255)(51, 228)(52, 257)(53, 260)(54, 229)(55, 231)(56, 262)(57, 234)(58, 264)(59, 236)(60, 238)(61, 266)(62, 240)(63, 242)(64, 268)(65, 244)(66, 270)(67, 272)(68, 245)(69, 273)(70, 248)(71, 275)(72, 250)(73, 278)(74, 253)(75, 279)(76, 256)(77, 281)(78, 258)(79, 283)(80, 259)(81, 261)(82, 284)(83, 263)(84, 285)(85, 286)(86, 265)(87, 267)(88, 287)(89, 269)(90, 288)(91, 271)(92, 274)(93, 276)(94, 277)(95, 280)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1645
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1650 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y1^6, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 32, 128, 16, 112, 11, 107)(4, 100, 12, 108, 26, 122, 30, 126, 17, 113, 8, 104)(7, 103, 18, 114, 13, 109, 28, 124, 29, 125, 20, 116)(10, 106, 24, 120, 31, 127, 46, 142, 37, 133, 23, 119)(19, 115, 35, 131, 45, 141, 43, 139, 27, 123, 34, 130)(22, 118, 38, 134, 25, 121, 42, 138, 47, 143, 40, 136)(33, 129, 48, 144, 36, 132, 52, 148, 44, 140, 50, 146)(39, 135, 55, 151, 60, 156, 57, 153, 41, 137, 54, 150)(49, 145, 63, 159, 59, 155, 65, 161, 51, 147, 62, 158)(53, 149, 67, 163, 56, 152, 71, 167, 58, 154, 69, 165)(61, 157, 73, 169, 64, 160, 77, 173, 66, 162, 75, 171)(68, 164, 81, 177, 72, 168, 83, 179, 70, 166, 80, 176)(74, 170, 87, 183, 78, 174, 89, 185, 76, 172, 86, 182)(79, 175, 85, 181, 82, 178, 88, 184, 84, 180, 90, 186)(91, 187, 96, 192, 93, 189, 95, 191, 92, 188, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 219, 315)(206, 302, 213, 309)(207, 303, 221, 317)(209, 305, 223, 319)(210, 306, 225, 321)(212, 308, 228, 324)(215, 311, 231, 327)(216, 312, 233, 329)(218, 314, 229, 325)(220, 316, 236, 332)(222, 318, 237, 333)(224, 320, 239, 335)(226, 322, 241, 337)(227, 323, 243, 339)(230, 326, 245, 341)(232, 328, 248, 344)(234, 330, 250, 346)(235, 331, 251, 347)(238, 334, 252, 348)(240, 336, 253, 349)(242, 338, 256, 352)(244, 340, 258, 354)(246, 342, 260, 356)(247, 343, 262, 358)(249, 345, 264, 360)(254, 350, 266, 362)(255, 351, 268, 364)(257, 353, 270, 366)(259, 355, 271, 367)(261, 357, 274, 370)(263, 359, 276, 372)(265, 361, 277, 373)(267, 363, 280, 376)(269, 365, 282, 378)(272, 368, 283, 379)(273, 369, 284, 380)(275, 371, 285, 381)(278, 374, 286, 382)(279, 375, 287, 383)(281, 377, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 219)(14, 218)(15, 222)(16, 223)(17, 198)(18, 226)(19, 199)(20, 227)(21, 229)(22, 231)(23, 201)(24, 203)(25, 233)(26, 206)(27, 205)(28, 235)(29, 237)(30, 207)(31, 208)(32, 238)(33, 241)(34, 210)(35, 212)(36, 243)(37, 213)(38, 246)(39, 214)(40, 247)(41, 217)(42, 249)(43, 220)(44, 251)(45, 221)(46, 224)(47, 252)(48, 254)(49, 225)(50, 255)(51, 228)(52, 257)(53, 260)(54, 230)(55, 232)(56, 262)(57, 234)(58, 264)(59, 236)(60, 239)(61, 266)(62, 240)(63, 242)(64, 268)(65, 244)(66, 270)(67, 272)(68, 245)(69, 273)(70, 248)(71, 275)(72, 250)(73, 278)(74, 253)(75, 279)(76, 256)(77, 281)(78, 258)(79, 283)(80, 259)(81, 261)(82, 284)(83, 263)(84, 285)(85, 286)(86, 265)(87, 267)(88, 287)(89, 269)(90, 288)(91, 271)(92, 274)(93, 276)(94, 277)(95, 280)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1643
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1651 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 1313>$ (small group id <192, 1313>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3, Y1), (Y1^-1 * Y3^-1)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y1^-1 * Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 18, 114, 15, 111, 5, 101)(3, 99, 11, 107, 25, 121, 35, 131, 19, 115, 13, 109)(4, 100, 9, 105, 6, 102, 10, 106, 20, 116, 16, 112)(8, 104, 21, 117, 17, 113, 32, 128, 33, 129, 23, 119)(12, 108, 27, 123, 14, 110, 28, 124, 34, 130, 29, 125)(22, 118, 37, 133, 24, 120, 38, 134, 31, 127, 39, 135)(26, 122, 41, 137, 30, 126, 46, 142, 48, 144, 43, 139)(36, 132, 49, 145, 40, 136, 54, 150, 47, 143, 51, 147)(42, 138, 56, 152, 44, 140, 57, 153, 45, 141, 58, 154)(50, 146, 62, 158, 52, 148, 63, 159, 53, 149, 64, 160)(55, 151, 67, 163, 59, 155, 72, 168, 60, 156, 69, 165)(61, 157, 73, 169, 65, 161, 78, 174, 66, 162, 75, 171)(68, 164, 80, 176, 70, 166, 81, 177, 71, 167, 82, 178)(74, 170, 86, 182, 76, 172, 87, 183, 77, 173, 88, 184)(79, 175, 85, 181, 83, 179, 89, 185, 84, 180, 90, 186)(91, 187, 94, 190, 92, 188, 95, 191, 93, 189, 96, 192)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 211, 307)(201, 297, 216, 312)(202, 298, 214, 310)(203, 299, 218, 314)(205, 301, 222, 318)(207, 303, 217, 313)(208, 304, 223, 319)(210, 306, 225, 321)(212, 308, 226, 322)(213, 309, 228, 324)(215, 311, 232, 328)(219, 315, 236, 332)(220, 316, 234, 330)(221, 317, 237, 333)(224, 320, 239, 335)(227, 323, 240, 336)(229, 325, 244, 340)(230, 326, 242, 338)(231, 327, 245, 341)(233, 329, 247, 343)(235, 331, 251, 347)(238, 334, 252, 348)(241, 337, 253, 349)(243, 339, 257, 353)(246, 342, 258, 354)(248, 344, 262, 358)(249, 345, 260, 356)(250, 346, 263, 359)(254, 350, 268, 364)(255, 351, 266, 362)(256, 352, 269, 365)(259, 355, 271, 367)(261, 357, 275, 371)(264, 360, 276, 372)(265, 361, 277, 373)(267, 363, 281, 377)(270, 366, 282, 378)(272, 368, 284, 380)(273, 369, 283, 379)(274, 370, 285, 381)(278, 374, 287, 383)(279, 375, 286, 382)(280, 376, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 207)(5, 208)(6, 193)(7, 198)(8, 214)(9, 197)(10, 194)(11, 219)(12, 211)(13, 221)(14, 195)(15, 212)(16, 210)(17, 216)(18, 202)(19, 226)(20, 199)(21, 229)(22, 225)(23, 231)(24, 200)(25, 206)(26, 234)(27, 205)(28, 203)(29, 227)(30, 236)(31, 209)(32, 230)(33, 223)(34, 217)(35, 220)(36, 242)(37, 215)(38, 213)(39, 224)(40, 244)(41, 248)(42, 240)(43, 250)(44, 218)(45, 222)(46, 249)(47, 245)(48, 237)(49, 254)(50, 239)(51, 256)(52, 228)(53, 232)(54, 255)(55, 260)(56, 235)(57, 233)(58, 238)(59, 262)(60, 263)(61, 266)(62, 243)(63, 241)(64, 246)(65, 268)(66, 269)(67, 272)(68, 252)(69, 274)(70, 247)(71, 251)(72, 273)(73, 278)(74, 258)(75, 280)(76, 253)(77, 257)(78, 279)(79, 283)(80, 261)(81, 259)(82, 264)(83, 284)(84, 285)(85, 286)(86, 267)(87, 265)(88, 270)(89, 287)(90, 288)(91, 276)(92, 271)(93, 275)(94, 282)(95, 277)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1644
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1652 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1328>$ (small group id <192, 1328>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y3^-2 * Y1 * Y3^2 * Y1^-1, (Y1 * Y2 * Y1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 47, 143, 21, 117, 13, 109)(4, 100, 15, 111, 37, 133, 45, 141, 22, 118, 10, 106)(6, 102, 18, 114, 42, 138, 44, 140, 23, 119, 9, 105)(8, 104, 24, 120, 17, 113, 40, 136, 43, 139, 26, 122)(12, 108, 33, 129, 46, 142, 76, 172, 57, 153, 32, 128)(14, 110, 36, 132, 48, 144, 79, 175, 58, 154, 31, 127)(16, 112, 28, 124, 49, 145, 75, 171, 68, 164, 39, 135)(25, 121, 53, 149, 73, 169, 70, 166, 38, 134, 52, 148)(27, 123, 56, 152, 74, 170, 72, 168, 41, 137, 51, 147)(30, 126, 59, 155, 35, 131, 66, 162, 78, 174, 61, 157)(34, 130, 63, 159, 89, 185, 95, 191, 77, 173, 65, 161)(50, 146, 80, 176, 55, 151, 87, 183, 71, 167, 82, 178)(54, 150, 84, 180, 69, 165, 91, 187, 93, 189, 86, 182)(60, 156, 90, 186, 94, 190, 85, 181, 64, 160, 81, 177)(62, 158, 92, 188, 96, 192, 88, 184, 67, 163, 83, 179)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 221, 317)(212, 308, 235, 331)(214, 310, 240, 336)(215, 311, 238, 334)(216, 312, 242, 338)(218, 314, 247, 343)(220, 316, 246, 342)(223, 319, 254, 350)(224, 320, 252, 348)(225, 321, 256, 352)(228, 324, 259, 355)(229, 325, 250, 346)(231, 327, 261, 357)(232, 328, 263, 359)(234, 330, 249, 345)(236, 332, 266, 362)(237, 333, 265, 361)(239, 335, 270, 366)(241, 337, 269, 365)(243, 339, 275, 371)(244, 340, 273, 369)(245, 341, 277, 373)(248, 344, 280, 376)(251, 347, 276, 372)(253, 349, 283, 379)(255, 351, 274, 370)(257, 353, 272, 368)(258, 354, 278, 374)(260, 356, 281, 377)(262, 358, 282, 378)(264, 360, 284, 380)(267, 363, 285, 381)(268, 364, 286, 382)(271, 367, 288, 384)(279, 375, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 236)(21, 238)(22, 241)(23, 199)(24, 243)(25, 246)(26, 248)(27, 200)(28, 202)(29, 249)(30, 252)(31, 255)(32, 203)(33, 205)(34, 206)(35, 256)(36, 257)(37, 260)(38, 261)(39, 207)(40, 264)(41, 209)(42, 211)(43, 265)(44, 267)(45, 212)(46, 269)(47, 271)(48, 213)(49, 215)(50, 273)(51, 276)(52, 216)(53, 218)(54, 219)(55, 277)(56, 278)(57, 281)(58, 221)(59, 275)(60, 274)(61, 284)(62, 222)(63, 224)(64, 272)(65, 225)(66, 280)(67, 227)(68, 234)(69, 233)(70, 232)(71, 282)(72, 283)(73, 285)(74, 235)(75, 237)(76, 239)(77, 240)(78, 286)(79, 287)(80, 259)(81, 251)(82, 254)(83, 242)(84, 244)(85, 258)(86, 245)(87, 288)(88, 247)(89, 250)(90, 253)(91, 262)(92, 263)(93, 266)(94, 279)(95, 268)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1646
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1653 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = D16 x S3 (small group id <96, 117>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1^-1)^2, (R * Y3)^2, Y3^4, (Y1^-1 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^2 * Y2 * Y1^-2, Y1^6, Y3^-2 * Y1 * Y2 * Y3^2 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y2 * Y3^-1 * Y1^2, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 19, 115, 5, 101)(3, 99, 11, 107, 21, 117, 46, 142, 36, 132, 13, 109)(4, 100, 15, 111, 37, 133, 45, 141, 22, 118, 10, 106)(6, 102, 18, 114, 42, 138, 44, 140, 23, 119, 9, 105)(8, 104, 24, 120, 43, 139, 40, 136, 17, 113, 26, 122)(12, 108, 32, 128, 62, 158, 78, 174, 47, 143, 31, 127)(14, 110, 35, 131, 67, 163, 77, 173, 48, 144, 30, 126)(16, 112, 28, 124, 49, 145, 75, 171, 68, 164, 39, 135)(25, 121, 53, 149, 38, 134, 69, 165, 73, 169, 52, 148)(27, 123, 56, 152, 41, 137, 72, 168, 74, 170, 51, 147)(29, 125, 57, 153, 76, 172, 65, 161, 34, 130, 59, 155)(33, 129, 61, 157, 79, 175, 96, 192, 89, 185, 64, 160)(50, 146, 80, 176, 71, 167, 87, 183, 55, 151, 82, 178)(54, 150, 84, 180, 93, 189, 91, 187, 70, 166, 86, 182)(58, 154, 85, 181, 63, 159, 90, 186, 94, 190, 81, 177)(60, 156, 88, 184, 66, 162, 92, 188, 95, 191, 83, 179)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 221, 317)(205, 301, 226, 322)(207, 303, 230, 326)(208, 304, 225, 321)(210, 306, 233, 329)(211, 307, 228, 324)(212, 308, 235, 331)(214, 310, 240, 336)(215, 311, 239, 335)(216, 312, 242, 338)(218, 314, 247, 343)(220, 316, 246, 342)(222, 318, 252, 348)(223, 319, 250, 346)(224, 320, 255, 351)(227, 323, 258, 354)(229, 325, 259, 355)(231, 327, 262, 358)(232, 328, 263, 359)(234, 330, 254, 350)(236, 332, 266, 362)(237, 333, 265, 361)(238, 334, 268, 364)(241, 337, 271, 367)(243, 339, 275, 371)(244, 340, 273, 369)(245, 341, 277, 373)(248, 344, 280, 376)(249, 345, 276, 372)(251, 347, 278, 374)(253, 349, 274, 370)(256, 352, 279, 375)(257, 353, 283, 379)(260, 356, 281, 377)(261, 357, 282, 378)(264, 360, 284, 380)(267, 363, 285, 381)(269, 365, 287, 383)(270, 366, 286, 382)(272, 368, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 222)(12, 225)(13, 227)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 236)(21, 239)(22, 241)(23, 199)(24, 243)(25, 246)(26, 248)(27, 200)(28, 202)(29, 250)(30, 253)(31, 203)(32, 205)(33, 206)(34, 255)(35, 256)(36, 254)(37, 260)(38, 262)(39, 207)(40, 264)(41, 209)(42, 211)(43, 265)(44, 267)(45, 212)(46, 269)(47, 271)(48, 213)(49, 215)(50, 273)(51, 276)(52, 216)(53, 218)(54, 219)(55, 277)(56, 278)(57, 275)(58, 274)(59, 280)(60, 221)(61, 223)(62, 281)(63, 279)(64, 224)(65, 284)(66, 226)(67, 228)(68, 234)(69, 232)(70, 233)(71, 282)(72, 283)(73, 285)(74, 235)(75, 237)(76, 286)(77, 288)(78, 238)(79, 240)(80, 287)(81, 249)(82, 252)(83, 242)(84, 244)(85, 251)(86, 245)(87, 258)(88, 247)(89, 259)(90, 257)(91, 261)(92, 263)(93, 266)(94, 272)(95, 268)(96, 270)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1648
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1654 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 1333>$ (small group id <192, 1333>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, Y1^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 48, 144, 22, 118, 13, 109)(4, 100, 15, 111, 37, 133, 46, 142, 23, 119, 10, 106)(6, 102, 18, 114, 41, 137, 45, 141, 24, 120, 9, 105)(8, 104, 25, 121, 17, 113, 39, 135, 44, 140, 27, 123)(12, 108, 26, 122, 47, 143, 69, 165, 57, 153, 34, 130)(14, 110, 35, 131, 49, 145, 73, 169, 58, 154, 33, 129)(16, 112, 30, 126, 50, 146, 72, 168, 59, 155, 32, 128)(20, 116, 29, 125, 51, 147, 71, 167, 65, 161, 42, 138)(28, 124, 53, 149, 70, 166, 66, 162, 40, 136, 52, 148)(36, 132, 61, 157, 81, 177, 90, 186, 74, 170, 62, 158)(38, 134, 60, 156, 82, 178, 89, 185, 75, 171, 56, 152)(43, 139, 68, 164, 85, 181, 88, 184, 76, 172, 55, 151)(54, 150, 77, 173, 67, 163, 86, 182, 87, 183, 78, 174)(63, 159, 79, 175, 91, 187, 95, 191, 93, 189, 84, 180)(64, 160, 80, 176, 92, 188, 96, 192, 94, 190, 83, 179)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 222, 318)(207, 303, 226, 322)(208, 304, 228, 324)(210, 306, 232, 328)(211, 307, 223, 319)(212, 308, 217, 313)(213, 309, 236, 332)(215, 311, 241, 337)(216, 312, 239, 335)(219, 315, 243, 339)(221, 317, 246, 342)(225, 321, 252, 348)(227, 323, 248, 344)(229, 325, 250, 346)(230, 326, 255, 351)(231, 327, 257, 353)(233, 329, 249, 345)(234, 330, 259, 355)(235, 331, 244, 340)(237, 333, 262, 358)(238, 334, 261, 357)(240, 336, 264, 360)(242, 338, 266, 362)(245, 341, 268, 364)(247, 343, 271, 367)(251, 347, 273, 369)(253, 349, 275, 371)(254, 350, 272, 368)(256, 352, 269, 365)(258, 354, 277, 373)(260, 356, 276, 372)(263, 359, 279, 375)(265, 361, 281, 377)(267, 363, 283, 379)(270, 366, 284, 380)(274, 370, 285, 381)(278, 374, 286, 382)(280, 376, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 215)(8, 218)(9, 221)(10, 194)(11, 225)(12, 217)(13, 227)(14, 195)(15, 197)(16, 230)(17, 226)(18, 234)(19, 229)(20, 198)(21, 237)(22, 239)(23, 242)(24, 199)(25, 244)(26, 205)(27, 245)(28, 200)(29, 247)(30, 202)(31, 249)(32, 207)(33, 253)(34, 203)(35, 254)(36, 206)(37, 251)(38, 256)(39, 258)(40, 209)(41, 211)(42, 260)(43, 212)(44, 261)(45, 263)(46, 213)(47, 219)(48, 265)(49, 214)(50, 267)(51, 216)(52, 269)(53, 270)(54, 220)(55, 272)(56, 222)(57, 231)(58, 223)(59, 274)(60, 224)(61, 276)(62, 271)(63, 228)(64, 235)(65, 233)(66, 278)(67, 232)(68, 275)(69, 240)(70, 236)(71, 280)(72, 238)(73, 282)(74, 241)(75, 284)(76, 243)(77, 255)(78, 283)(79, 246)(80, 248)(81, 250)(82, 286)(83, 252)(84, 259)(85, 257)(86, 285)(87, 262)(88, 288)(89, 264)(90, 287)(91, 266)(92, 268)(93, 273)(94, 277)(95, 279)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1647
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1655 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y1, (Y2 * Y3)^6, (Y3 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 108, 12, 104)(10, 110, 14, 106)(15, 121, 25, 111)(16, 122, 26, 112)(17, 123, 27, 113)(18, 125, 29, 114)(19, 126, 30, 115)(20, 128, 32, 116)(21, 129, 33, 117)(22, 130, 34, 118)(23, 132, 36, 119)(24, 133, 37, 120)(28, 131, 35, 124)(31, 134, 38, 127)(39, 151, 55, 135)(40, 152, 56, 136)(41, 153, 57, 137)(42, 154, 58, 138)(43, 155, 59, 139)(44, 157, 61, 140)(45, 158, 62, 141)(46, 159, 63, 142)(47, 160, 64, 143)(48, 161, 65, 144)(49, 162, 66, 145)(50, 163, 67, 146)(51, 164, 68, 147)(52, 166, 70, 148)(53, 167, 71, 149)(54, 168, 72, 150)(60, 165, 69, 156)(73, 177, 81, 169)(74, 178, 82, 170)(75, 179, 83, 171)(76, 180, 84, 172)(77, 185, 89, 173)(78, 186, 90, 174)(79, 183, 87, 175)(80, 187, 91, 176)(85, 188, 92, 181)(86, 189, 93, 182)(88, 190, 94, 184)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 17)(9, 18)(11, 20)(12, 22)(13, 23)(16, 27)(19, 31)(21, 34)(24, 38)(25, 39)(26, 41)(28, 43)(29, 40)(30, 45)(32, 47)(33, 49)(35, 51)(36, 48)(37, 53)(42, 59)(44, 62)(46, 60)(50, 68)(52, 71)(54, 69)(55, 73)(56, 75)(57, 74)(58, 77)(61, 79)(63, 78)(64, 81)(65, 83)(66, 82)(67, 85)(70, 87)(72, 86)(76, 89)(80, 90)(84, 92)(88, 93)(91, 95)(94, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 111)(106, 115)(107, 117)(109, 116)(110, 120)(113, 124)(114, 126)(118, 131)(119, 133)(121, 136)(122, 135)(123, 138)(125, 140)(127, 142)(128, 144)(129, 143)(130, 146)(132, 148)(134, 150)(137, 154)(139, 156)(141, 159)(145, 163)(147, 165)(149, 168)(151, 170)(152, 169)(153, 172)(155, 174)(157, 171)(158, 176)(160, 178)(161, 177)(162, 180)(164, 182)(166, 179)(167, 184)(173, 186)(175, 187)(181, 189)(183, 190)(185, 191)(188, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1656
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1656 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y3 * Y2 * Y1^2, (Y2 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, Y3 * Y1 * Y3 * Y2 * Y1^-1 * Y2, Y1^6, Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 113, 17, 101, 5, 97)(3, 105, 9, 123, 27, 136, 40, 115, 19, 107, 11, 99)(4, 108, 12, 128, 32, 137, 41, 116, 20, 110, 14, 100)(7, 117, 21, 111, 15, 131, 35, 133, 37, 119, 23, 103)(8, 120, 24, 112, 16, 132, 36, 134, 38, 122, 26, 104)(10, 118, 22, 135, 39, 130, 34, 109, 13, 121, 25, 106)(28, 143, 47, 126, 30, 147, 51, 150, 54, 144, 48, 124)(29, 145, 49, 127, 31, 148, 52, 129, 33, 146, 50, 125)(42, 151, 55, 140, 44, 155, 59, 149, 53, 152, 56, 138)(43, 153, 57, 141, 45, 156, 60, 142, 46, 154, 58, 139)(61, 169, 73, 159, 63, 173, 77, 162, 66, 170, 74, 157)(62, 171, 75, 160, 64, 174, 78, 161, 65, 172, 76, 158)(67, 175, 79, 165, 69, 179, 83, 168, 72, 176, 80, 163)(68, 177, 81, 166, 70, 180, 84, 167, 71, 178, 82, 164)(85, 187, 91, 183, 87, 189, 93, 186, 90, 192, 96, 181)(86, 188, 92, 184, 88, 190, 94, 185, 89, 191, 95, 182)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 28)(10, 20)(11, 30)(12, 33)(14, 29)(16, 34)(17, 27)(18, 37)(21, 42)(22, 38)(23, 44)(24, 46)(26, 43)(31, 41)(32, 39)(35, 53)(36, 45)(40, 54)(47, 61)(48, 63)(49, 65)(50, 62)(51, 66)(52, 64)(55, 67)(56, 69)(57, 71)(58, 68)(59, 72)(60, 70)(73, 85)(74, 87)(75, 89)(76, 86)(77, 90)(78, 88)(79, 91)(80, 93)(81, 95)(82, 92)(83, 96)(84, 94)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 125)(107, 127)(108, 124)(109, 123)(110, 126)(111, 121)(113, 128)(114, 134)(115, 135)(117, 139)(119, 141)(120, 138)(122, 140)(129, 136)(130, 133)(131, 142)(132, 149)(137, 150)(143, 158)(144, 160)(145, 157)(146, 159)(147, 161)(148, 162)(151, 164)(152, 166)(153, 163)(154, 165)(155, 167)(156, 168)(169, 182)(170, 184)(171, 181)(172, 183)(173, 185)(174, 186)(175, 188)(176, 190)(177, 187)(178, 189)(179, 191)(180, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1655
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1657 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 16, 112)(9, 105, 18, 114)(10, 106, 19, 115)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(15, 111, 26, 122)(17, 113, 28, 124)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 40, 136)(27, 123, 42, 138)(29, 125, 44, 140)(30, 126, 45, 141)(31, 127, 46, 142)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(39, 135, 55, 151)(41, 137, 57, 153)(43, 139, 59, 155)(47, 143, 64, 160)(49, 145, 66, 162)(51, 147, 68, 164)(56, 152, 73, 169)(58, 154, 75, 171)(60, 156, 77, 173)(61, 157, 78, 174)(62, 158, 79, 175)(63, 159, 80, 176)(65, 161, 81, 177)(67, 163, 83, 179)(69, 165, 85, 181)(70, 166, 86, 182)(71, 167, 87, 183)(72, 168, 88, 184)(74, 170, 89, 185)(76, 172, 91, 187)(82, 178, 92, 188)(84, 180, 94, 190)(90, 186, 95, 191)(93, 189, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 208)(204, 214)(206, 213)(207, 217)(210, 221)(211, 223)(212, 224)(215, 228)(216, 230)(218, 233)(219, 232)(220, 229)(222, 227)(225, 241)(226, 240)(231, 239)(234, 250)(235, 249)(236, 252)(237, 254)(238, 253)(242, 259)(243, 258)(244, 261)(245, 263)(246, 262)(247, 257)(248, 256)(251, 268)(255, 267)(260, 276)(264, 275)(265, 274)(266, 273)(269, 277)(270, 279)(271, 278)(272, 283)(280, 286)(281, 285)(282, 284)(287, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 303)(296, 301)(297, 300)(299, 308)(304, 315)(305, 314)(306, 318)(307, 317)(309, 322)(310, 321)(311, 325)(312, 324)(313, 327)(316, 331)(319, 330)(320, 335)(323, 339)(326, 338)(328, 344)(329, 343)(332, 349)(333, 348)(334, 351)(336, 353)(337, 352)(340, 358)(341, 357)(342, 360)(345, 362)(346, 361)(347, 359)(350, 356)(354, 370)(355, 369)(363, 378)(364, 377)(365, 374)(366, 373)(367, 376)(368, 375)(371, 381)(372, 380)(379, 383)(382, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1660
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.1658 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^6, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 34, 130, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 44, 140, 26, 122, 8, 104)(3, 99, 10, 106, 18, 114, 37, 133, 29, 125, 11, 107)(6, 102, 19, 115, 9, 105, 27, 123, 39, 135, 20, 116)(12, 108, 30, 126, 15, 111, 35, 131, 47, 143, 31, 127)(13, 109, 32, 128, 16, 112, 36, 132, 38, 134, 33, 129)(21, 117, 40, 136, 24, 120, 45, 141, 54, 150, 41, 137)(22, 118, 42, 138, 25, 121, 46, 142, 28, 124, 43, 139)(48, 144, 61, 157, 50, 146, 65, 161, 53, 149, 62, 158)(49, 145, 63, 159, 51, 147, 66, 162, 52, 148, 64, 160)(55, 151, 67, 163, 57, 153, 71, 167, 60, 156, 68, 164)(56, 152, 69, 165, 58, 154, 72, 168, 59, 155, 70, 166)(73, 169, 85, 181, 75, 171, 89, 185, 78, 174, 86, 182)(74, 170, 87, 183, 76, 172, 90, 186, 77, 173, 88, 184)(79, 175, 91, 187, 81, 177, 95, 191, 84, 180, 92, 188)(80, 176, 93, 189, 82, 178, 96, 192, 83, 179, 94, 190)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 220)(205, 219)(206, 218)(208, 211)(209, 215)(212, 230)(214, 229)(221, 231)(222, 240)(223, 242)(224, 243)(225, 244)(226, 239)(227, 245)(228, 241)(232, 247)(233, 249)(234, 250)(235, 251)(236, 246)(237, 252)(238, 248)(253, 265)(254, 267)(255, 268)(256, 269)(257, 270)(258, 266)(259, 271)(260, 273)(261, 274)(262, 275)(263, 276)(264, 272)(277, 283)(278, 287)(279, 288)(280, 286)(281, 284)(282, 285)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 314)(298, 309)(299, 312)(300, 307)(302, 317)(303, 308)(305, 306)(311, 327)(315, 335)(316, 332)(318, 337)(319, 339)(320, 336)(321, 338)(322, 326)(323, 340)(324, 341)(325, 342)(328, 344)(329, 346)(330, 343)(331, 345)(333, 347)(334, 348)(349, 362)(350, 364)(351, 361)(352, 363)(353, 365)(354, 366)(355, 368)(356, 370)(357, 367)(358, 369)(359, 371)(360, 372)(373, 381)(374, 384)(375, 379)(376, 383)(377, 382)(378, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1659
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1659 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y1 * Y2)^6, Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 16, 112, 208, 304)(9, 105, 201, 297, 18, 114, 210, 306)(10, 106, 202, 298, 19, 115, 211, 307)(11, 107, 203, 299, 21, 117, 213, 309)(13, 109, 205, 301, 23, 119, 215, 311)(14, 110, 206, 302, 24, 120, 216, 312)(15, 111, 207, 303, 26, 122, 218, 314)(17, 113, 209, 305, 28, 124, 220, 316)(20, 116, 212, 308, 33, 129, 225, 321)(22, 118, 214, 310, 35, 131, 227, 323)(25, 121, 217, 313, 40, 136, 232, 328)(27, 123, 219, 315, 42, 138, 234, 330)(29, 125, 221, 317, 44, 140, 236, 332)(30, 126, 222, 318, 45, 141, 237, 333)(31, 127, 223, 319, 46, 142, 238, 334)(32, 128, 224, 320, 48, 144, 240, 336)(34, 130, 226, 322, 50, 146, 242, 338)(36, 132, 228, 324, 52, 148, 244, 340)(37, 133, 229, 325, 53, 149, 245, 341)(38, 134, 230, 326, 54, 150, 246, 342)(39, 135, 231, 327, 55, 151, 247, 343)(41, 137, 233, 329, 57, 153, 249, 345)(43, 139, 235, 331, 59, 155, 251, 347)(47, 143, 239, 335, 64, 160, 256, 352)(49, 145, 241, 337, 66, 162, 258, 354)(51, 147, 243, 339, 68, 164, 260, 356)(56, 152, 248, 344, 73, 169, 265, 361)(58, 154, 250, 346, 75, 171, 267, 363)(60, 156, 252, 348, 77, 173, 269, 365)(61, 157, 253, 349, 78, 174, 270, 366)(62, 158, 254, 350, 79, 175, 271, 367)(63, 159, 255, 351, 80, 176, 272, 368)(65, 161, 257, 353, 81, 177, 273, 369)(67, 163, 259, 355, 83, 179, 275, 371)(69, 165, 261, 357, 85, 181, 277, 373)(70, 166, 262, 358, 86, 182, 278, 374)(71, 167, 263, 359, 87, 183, 279, 375)(72, 168, 264, 360, 88, 184, 280, 376)(74, 170, 266, 362, 89, 185, 281, 377)(76, 172, 268, 364, 91, 187, 283, 379)(82, 178, 274, 370, 92, 188, 284, 380)(84, 180, 276, 372, 94, 190, 286, 382)(90, 186, 282, 378, 95, 191, 287, 383)(93, 189, 285, 381, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 112)(11, 101)(12, 118)(13, 102)(14, 117)(15, 121)(16, 106)(17, 104)(18, 125)(19, 127)(20, 128)(21, 110)(22, 108)(23, 132)(24, 134)(25, 111)(26, 137)(27, 136)(28, 133)(29, 114)(30, 131)(31, 115)(32, 116)(33, 145)(34, 144)(35, 126)(36, 119)(37, 124)(38, 120)(39, 143)(40, 123)(41, 122)(42, 154)(43, 153)(44, 156)(45, 158)(46, 157)(47, 135)(48, 130)(49, 129)(50, 163)(51, 162)(52, 165)(53, 167)(54, 166)(55, 161)(56, 160)(57, 139)(58, 138)(59, 172)(60, 140)(61, 142)(62, 141)(63, 171)(64, 152)(65, 151)(66, 147)(67, 146)(68, 180)(69, 148)(70, 150)(71, 149)(72, 179)(73, 178)(74, 177)(75, 159)(76, 155)(77, 181)(78, 183)(79, 182)(80, 187)(81, 170)(82, 169)(83, 168)(84, 164)(85, 173)(86, 175)(87, 174)(88, 190)(89, 189)(90, 188)(91, 176)(92, 186)(93, 185)(94, 184)(95, 192)(96, 191)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 303)(200, 301)(201, 300)(202, 292)(203, 308)(204, 297)(205, 296)(206, 294)(207, 295)(208, 315)(209, 314)(210, 318)(211, 317)(212, 299)(213, 322)(214, 321)(215, 325)(216, 324)(217, 327)(218, 305)(219, 304)(220, 331)(221, 307)(222, 306)(223, 330)(224, 335)(225, 310)(226, 309)(227, 339)(228, 312)(229, 311)(230, 338)(231, 313)(232, 344)(233, 343)(234, 319)(235, 316)(236, 349)(237, 348)(238, 351)(239, 320)(240, 353)(241, 352)(242, 326)(243, 323)(244, 358)(245, 357)(246, 360)(247, 329)(248, 328)(249, 362)(250, 361)(251, 359)(252, 333)(253, 332)(254, 356)(255, 334)(256, 337)(257, 336)(258, 370)(259, 369)(260, 350)(261, 341)(262, 340)(263, 347)(264, 342)(265, 346)(266, 345)(267, 378)(268, 377)(269, 374)(270, 373)(271, 376)(272, 375)(273, 355)(274, 354)(275, 381)(276, 380)(277, 366)(278, 365)(279, 368)(280, 367)(281, 364)(282, 363)(283, 383)(284, 372)(285, 371)(286, 384)(287, 379)(288, 382)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1658
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1660 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
Aut^+ = C2 x ((C3 x D8) : C2) (small group id <96, 138>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y3^-1 * Y2 * Y1, (Y3^-1 * Y2 * Y3^-1)^2, Y3^6, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y3^-3 * Y1, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 34, 130, 226, 322, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 44, 140, 236, 332, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 18, 114, 210, 306, 37, 133, 229, 325, 29, 125, 221, 317, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 9, 105, 201, 297, 27, 123, 219, 315, 39, 135, 231, 327, 20, 116, 212, 308)(12, 108, 204, 300, 30, 126, 222, 318, 15, 111, 207, 303, 35, 131, 227, 323, 47, 143, 239, 335, 31, 127, 223, 319)(13, 109, 205, 301, 32, 128, 224, 320, 16, 112, 208, 304, 36, 132, 228, 324, 38, 134, 230, 326, 33, 129, 225, 321)(21, 117, 213, 309, 40, 136, 232, 328, 24, 120, 216, 312, 45, 141, 237, 333, 54, 150, 246, 342, 41, 137, 233, 329)(22, 118, 214, 310, 42, 138, 234, 330, 25, 121, 217, 313, 46, 142, 238, 334, 28, 124, 220, 316, 43, 139, 235, 331)(48, 144, 240, 336, 61, 157, 253, 349, 50, 146, 242, 338, 65, 161, 257, 353, 53, 149, 245, 341, 62, 158, 254, 350)(49, 145, 241, 337, 63, 159, 255, 351, 51, 147, 243, 339, 66, 162, 258, 354, 52, 148, 244, 340, 64, 160, 256, 352)(55, 151, 247, 343, 67, 163, 259, 355, 57, 153, 249, 345, 71, 167, 263, 359, 60, 156, 252, 348, 68, 164, 260, 356)(56, 152, 248, 344, 69, 165, 261, 357, 58, 154, 250, 346, 72, 168, 264, 360, 59, 155, 251, 347, 70, 166, 262, 358)(73, 169, 265, 361, 85, 181, 277, 373, 75, 171, 267, 363, 89, 185, 281, 377, 78, 174, 270, 366, 86, 182, 278, 374)(74, 170, 266, 362, 87, 183, 279, 375, 76, 172, 268, 364, 90, 186, 282, 378, 77, 173, 269, 365, 88, 184, 280, 376)(79, 175, 271, 367, 91, 187, 283, 379, 81, 177, 273, 369, 95, 191, 287, 383, 84, 180, 276, 372, 92, 188, 284, 380)(80, 176, 272, 368, 93, 189, 285, 381, 82, 178, 274, 370, 96, 192, 288, 384, 83, 179, 275, 371, 94, 190, 286, 382)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 124)(12, 100)(13, 123)(14, 122)(15, 101)(16, 115)(17, 119)(18, 102)(19, 112)(20, 134)(21, 103)(22, 133)(23, 113)(24, 104)(25, 106)(26, 110)(27, 109)(28, 107)(29, 135)(30, 144)(31, 146)(32, 147)(33, 148)(34, 143)(35, 149)(36, 145)(37, 118)(38, 116)(39, 125)(40, 151)(41, 153)(42, 154)(43, 155)(44, 150)(45, 156)(46, 152)(47, 130)(48, 126)(49, 132)(50, 127)(51, 128)(52, 129)(53, 131)(54, 140)(55, 136)(56, 142)(57, 137)(58, 138)(59, 139)(60, 141)(61, 169)(62, 171)(63, 172)(64, 173)(65, 174)(66, 170)(67, 175)(68, 177)(69, 178)(70, 179)(71, 180)(72, 176)(73, 157)(74, 162)(75, 158)(76, 159)(77, 160)(78, 161)(79, 163)(80, 168)(81, 164)(82, 165)(83, 166)(84, 167)(85, 187)(86, 191)(87, 192)(88, 190)(89, 188)(90, 189)(91, 181)(92, 185)(93, 186)(94, 184)(95, 182)(96, 183)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 314)(202, 309)(203, 312)(204, 307)(205, 292)(206, 317)(207, 308)(208, 293)(209, 306)(210, 305)(211, 300)(212, 303)(213, 298)(214, 295)(215, 327)(216, 299)(217, 296)(218, 297)(219, 335)(220, 332)(221, 302)(222, 337)(223, 339)(224, 336)(225, 338)(226, 326)(227, 340)(228, 341)(229, 342)(230, 322)(231, 311)(232, 344)(233, 346)(234, 343)(235, 345)(236, 316)(237, 347)(238, 348)(239, 315)(240, 320)(241, 318)(242, 321)(243, 319)(244, 323)(245, 324)(246, 325)(247, 330)(248, 328)(249, 331)(250, 329)(251, 333)(252, 334)(253, 362)(254, 364)(255, 361)(256, 363)(257, 365)(258, 366)(259, 368)(260, 370)(261, 367)(262, 369)(263, 371)(264, 372)(265, 351)(266, 349)(267, 352)(268, 350)(269, 353)(270, 354)(271, 357)(272, 355)(273, 358)(274, 356)(275, 359)(276, 360)(277, 381)(278, 384)(279, 379)(280, 383)(281, 382)(282, 380)(283, 375)(284, 378)(285, 373)(286, 377)(287, 376)(288, 374)
	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 E17.1657
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.1661 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D8) : C2 (small group id <96, 147>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (Y1 * Y3^2)^2, (R * Y2 * Y3^-1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1)^4, (Y2 * Y1 * Y3 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3^-1, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 31, 127)(22, 118, 40, 136)(23, 119, 37, 133)(25, 121, 43, 139)(27, 123, 33, 129)(28, 124, 50, 146)(29, 125, 51, 147)(30, 126, 32, 128)(35, 131, 54, 150)(38, 134, 61, 157)(39, 135, 62, 158)(41, 137, 58, 154)(42, 138, 55, 151)(44, 140, 53, 149)(45, 141, 66, 162)(46, 142, 67, 163)(47, 143, 52, 148)(48, 144, 68, 164)(49, 145, 69, 165)(56, 152, 75, 171)(57, 153, 76, 172)(59, 155, 77, 173)(60, 156, 78, 174)(63, 159, 72, 168)(64, 160, 81, 177)(65, 161, 82, 178)(70, 166, 80, 176)(71, 167, 79, 175)(73, 169, 87, 183)(74, 170, 88, 184)(83, 179, 91, 187)(84, 180, 92, 188)(85, 181, 89, 185)(86, 182, 90, 186)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 234, 330)(215, 311, 233, 329)(216, 312, 236, 332)(218, 314, 239, 335)(220, 316, 241, 337)(221, 317, 240, 336)(224, 320, 245, 341)(225, 321, 244, 340)(226, 322, 247, 343)(228, 324, 250, 346)(230, 326, 252, 348)(231, 327, 251, 347)(235, 331, 255, 351)(237, 333, 257, 353)(238, 334, 256, 352)(242, 338, 258, 354)(243, 339, 259, 355)(246, 342, 264, 360)(248, 344, 266, 362)(249, 345, 265, 361)(253, 349, 267, 363)(254, 350, 268, 364)(260, 356, 273, 369)(261, 357, 274, 370)(262, 358, 276, 372)(263, 359, 275, 371)(269, 365, 279, 375)(270, 366, 280, 376)(271, 367, 282, 378)(272, 368, 281, 377)(277, 373, 286, 382)(278, 374, 285, 381)(283, 379, 288, 384)(284, 380, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 233)(22, 235)(23, 201)(24, 237)(25, 203)(26, 238)(27, 240)(28, 206)(29, 204)(30, 241)(31, 244)(32, 246)(33, 207)(34, 248)(35, 209)(36, 249)(37, 251)(38, 212)(39, 210)(40, 252)(41, 255)(42, 213)(43, 215)(44, 256)(45, 218)(46, 216)(47, 257)(48, 222)(49, 219)(50, 262)(51, 263)(52, 264)(53, 223)(54, 225)(55, 265)(56, 228)(57, 226)(58, 266)(59, 232)(60, 229)(61, 271)(62, 272)(63, 234)(64, 239)(65, 236)(66, 275)(67, 276)(68, 277)(69, 278)(70, 243)(71, 242)(72, 245)(73, 250)(74, 247)(75, 281)(76, 282)(77, 283)(78, 284)(79, 254)(80, 253)(81, 285)(82, 286)(83, 259)(84, 258)(85, 261)(86, 260)(87, 287)(88, 288)(89, 268)(90, 267)(91, 270)(92, 269)(93, 274)(94, 273)(95, 280)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1662
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1662 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (C6 x D8) : C2 (small group id <96, 147>)
Aut   = $<192, 1168>$ (small group id <192, 1168>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2 * Y1)^2, Y1^6, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 47, 143, 21, 117, 13, 109)(4, 100, 15, 111, 37, 133, 45, 141, 22, 118, 10, 106)(6, 102, 18, 114, 42, 138, 44, 140, 23, 119, 9, 105)(8, 104, 24, 120, 17, 113, 40, 136, 43, 139, 26, 122)(12, 108, 33, 129, 46, 142, 73, 169, 57, 153, 32, 128)(14, 110, 36, 132, 48, 144, 76, 172, 58, 154, 31, 127)(16, 112, 28, 124, 49, 145, 72, 168, 66, 162, 39, 135)(25, 121, 53, 149, 70, 166, 68, 164, 38, 134, 52, 148)(27, 123, 56, 152, 71, 167, 69, 165, 41, 137, 51, 147)(30, 126, 50, 146, 35, 131, 55, 151, 75, 171, 60, 156)(34, 130, 62, 158, 83, 179, 91, 187, 74, 170, 64, 160)(54, 150, 79, 175, 67, 163, 88, 184, 89, 185, 81, 177)(59, 155, 84, 180, 90, 186, 82, 178, 63, 159, 78, 174)(61, 157, 86, 182, 92, 188, 80, 176, 65, 161, 77, 173)(85, 181, 93, 189, 87, 183, 94, 190, 96, 192, 95, 191)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 230, 326)(208, 304, 226, 322)(210, 306, 233, 329)(211, 307, 221, 317)(212, 308, 235, 331)(214, 310, 240, 336)(215, 311, 238, 334)(216, 312, 242, 338)(218, 314, 247, 343)(220, 316, 246, 342)(223, 319, 253, 349)(224, 320, 251, 347)(225, 321, 255, 351)(228, 324, 257, 353)(229, 325, 250, 346)(231, 327, 259, 355)(232, 328, 252, 348)(234, 330, 249, 345)(236, 332, 263, 359)(237, 333, 262, 358)(239, 335, 267, 363)(241, 337, 266, 362)(243, 339, 270, 366)(244, 340, 269, 365)(245, 341, 272, 368)(248, 344, 274, 370)(254, 350, 277, 373)(256, 352, 279, 375)(258, 354, 275, 371)(260, 356, 278, 374)(261, 357, 276, 372)(264, 360, 281, 377)(265, 361, 282, 378)(268, 364, 284, 380)(271, 367, 285, 381)(273, 369, 286, 382)(280, 376, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 230)(18, 231)(19, 229)(20, 236)(21, 238)(22, 241)(23, 199)(24, 243)(25, 246)(26, 248)(27, 200)(28, 202)(29, 249)(30, 251)(31, 254)(32, 203)(33, 205)(34, 206)(35, 255)(36, 256)(37, 258)(38, 259)(39, 207)(40, 261)(41, 209)(42, 211)(43, 262)(44, 264)(45, 212)(46, 266)(47, 268)(48, 213)(49, 215)(50, 269)(51, 271)(52, 216)(53, 218)(54, 219)(55, 272)(56, 273)(57, 275)(58, 221)(59, 277)(60, 278)(61, 222)(62, 224)(63, 279)(64, 225)(65, 227)(66, 234)(67, 233)(68, 232)(69, 280)(70, 281)(71, 235)(72, 237)(73, 239)(74, 240)(75, 282)(76, 283)(77, 285)(78, 242)(79, 244)(80, 286)(81, 245)(82, 247)(83, 250)(84, 252)(85, 253)(86, 287)(87, 257)(88, 260)(89, 263)(90, 288)(91, 265)(92, 267)(93, 270)(94, 274)(95, 276)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1661
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1663 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, (Y3 * Y1)^6, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 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, 65, 161)(40, 136, 66, 162)(42, 138, 68, 164)(43, 139, 63, 159)(45, 141, 71, 167)(47, 143, 69, 165)(48, 144, 61, 157)(50, 146, 56, 152)(51, 147, 64, 160)(52, 148, 74, 170)(53, 149, 75, 171)(55, 151, 77, 173)(58, 154, 80, 176)(60, 156, 78, 174)(67, 163, 84, 180)(70, 166, 86, 182)(72, 168, 87, 183)(73, 169, 82, 178)(76, 172, 89, 185)(79, 175, 91, 187)(81, 177, 92, 188)(83, 179, 90, 186)(85, 181, 88, 184)(93, 189, 96, 192)(94, 190, 95, 191)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 247, 343)(227, 323, 250, 346)(228, 324, 252, 348)(230, 326, 255, 351)(232, 328, 251, 347)(233, 329, 259, 355)(235, 331, 261, 357)(236, 332, 254, 350)(238, 334, 245, 341)(240, 336, 264, 360)(241, 337, 249, 345)(243, 339, 257, 353)(246, 342, 268, 364)(248, 344, 270, 366)(253, 349, 273, 369)(256, 352, 266, 362)(258, 354, 275, 371)(260, 356, 277, 373)(262, 358, 274, 370)(263, 359, 276, 372)(265, 361, 271, 367)(267, 363, 280, 376)(269, 365, 282, 378)(272, 368, 281, 377)(278, 374, 286, 382)(279, 375, 285, 381)(283, 379, 288, 384)(284, 380, 287, 383)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 248)(34, 250)(35, 212)(36, 253)(37, 213)(38, 256)(39, 251)(40, 215)(41, 246)(42, 261)(43, 217)(44, 262)(45, 218)(46, 244)(47, 264)(48, 220)(49, 265)(50, 257)(51, 222)(52, 238)(53, 223)(54, 233)(55, 270)(56, 225)(57, 271)(58, 226)(59, 231)(60, 273)(61, 228)(62, 274)(63, 266)(64, 230)(65, 242)(66, 267)(67, 268)(68, 278)(69, 234)(70, 236)(71, 279)(72, 239)(73, 241)(74, 255)(75, 258)(76, 259)(77, 283)(78, 247)(79, 249)(80, 284)(81, 252)(82, 254)(83, 280)(84, 285)(85, 286)(86, 260)(87, 263)(88, 275)(89, 287)(90, 288)(91, 269)(92, 272)(93, 276)(94, 277)(95, 281)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1666
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1664 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2, (Y3 * Y1)^6, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 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, 65, 161)(40, 136, 67, 163)(42, 138, 58, 154)(43, 139, 63, 159)(45, 141, 55, 151)(47, 143, 72, 168)(48, 144, 61, 157)(50, 146, 56, 152)(51, 147, 64, 160)(52, 148, 75, 171)(53, 149, 77, 173)(60, 156, 82, 178)(66, 162, 79, 175)(68, 164, 88, 184)(69, 165, 76, 172)(70, 166, 87, 183)(71, 167, 84, 180)(73, 169, 83, 179)(74, 170, 81, 177)(78, 174, 93, 189)(80, 176, 92, 188)(85, 181, 94, 190)(86, 182, 95, 191)(89, 185, 90, 186)(91, 187, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 247, 343)(227, 323, 250, 346)(228, 324, 252, 348)(230, 326, 255, 351)(232, 328, 258, 354)(233, 329, 253, 349)(235, 331, 260, 356)(236, 332, 261, 357)(238, 334, 262, 358)(240, 336, 246, 342)(241, 337, 259, 355)(243, 339, 266, 362)(245, 341, 268, 364)(248, 344, 270, 366)(249, 345, 271, 367)(251, 347, 272, 368)(254, 350, 269, 365)(256, 352, 276, 372)(257, 353, 277, 373)(263, 359, 281, 377)(264, 360, 278, 374)(265, 361, 279, 375)(267, 363, 282, 378)(273, 369, 286, 382)(274, 370, 283, 379)(275, 371, 284, 380)(280, 376, 287, 383)(285, 381, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 248)(34, 250)(35, 212)(36, 253)(37, 213)(38, 256)(39, 258)(40, 215)(41, 252)(42, 260)(43, 217)(44, 249)(45, 218)(46, 263)(47, 246)(48, 220)(49, 265)(50, 266)(51, 222)(52, 268)(53, 223)(54, 239)(55, 270)(56, 225)(57, 236)(58, 226)(59, 273)(60, 233)(61, 228)(62, 275)(63, 276)(64, 230)(65, 278)(66, 231)(67, 279)(68, 234)(69, 271)(70, 281)(71, 238)(72, 277)(73, 241)(74, 242)(75, 283)(76, 244)(77, 284)(78, 247)(79, 261)(80, 286)(81, 251)(82, 282)(83, 254)(84, 255)(85, 264)(86, 257)(87, 259)(88, 285)(89, 262)(90, 274)(91, 267)(92, 269)(93, 280)(94, 272)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1665
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1665 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^6, (Y1^-1 * Y2 * Y1^-2)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 32, 128, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 33, 129, 17, 113, 8, 104)(7, 103, 18, 114, 37, 133, 31, 127, 42, 138, 20, 116)(10, 106, 24, 120, 48, 144, 58, 154, 44, 140, 23, 119)(13, 109, 29, 125, 36, 132, 16, 112, 34, 130, 30, 126)(19, 115, 40, 136, 65, 161, 53, 149, 62, 158, 39, 135)(22, 118, 45, 141, 41, 137, 52, 148, 73, 169, 47, 143)(25, 121, 50, 146, 69, 165, 43, 139, 56, 152, 51, 147)(28, 124, 54, 150, 59, 155, 35, 131, 60, 156, 55, 151)(38, 134, 63, 159, 61, 157, 67, 163, 80, 176, 57, 153)(46, 142, 72, 168, 88, 184, 74, 170, 66, 162, 71, 167)(49, 145, 75, 171, 79, 175, 68, 164, 85, 181, 76, 172)(64, 160, 78, 174, 92, 188, 84, 180, 81, 177, 83, 179)(70, 166, 82, 178, 86, 182, 89, 185, 91, 187, 77, 173)(87, 183, 90, 186, 96, 192, 95, 191, 94, 190, 93, 189)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 224, 320)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 233, 329)(213, 309, 235, 331)(215, 311, 238, 334)(216, 312, 241, 337)(218, 314, 244, 340)(219, 315, 245, 341)(221, 317, 248, 344)(222, 318, 249, 345)(225, 321, 250, 346)(226, 322, 242, 338)(228, 324, 253, 349)(229, 325, 239, 335)(231, 327, 256, 352)(232, 328, 258, 354)(234, 330, 259, 355)(236, 332, 260, 356)(237, 333, 262, 358)(240, 336, 266, 362)(243, 339, 269, 365)(246, 342, 270, 366)(247, 343, 271, 367)(251, 347, 268, 364)(252, 348, 273, 369)(254, 350, 264, 360)(255, 351, 274, 370)(257, 353, 276, 372)(261, 357, 278, 374)(263, 359, 279, 375)(265, 361, 281, 377)(267, 363, 282, 378)(272, 368, 283, 379)(275, 371, 285, 381)(277, 373, 286, 382)(280, 376, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 225)(16, 227)(17, 198)(18, 231)(19, 199)(20, 232)(21, 236)(22, 238)(23, 201)(24, 203)(25, 241)(26, 240)(27, 206)(28, 205)(29, 247)(30, 246)(31, 245)(32, 250)(33, 207)(34, 251)(35, 208)(36, 252)(37, 254)(38, 256)(39, 210)(40, 212)(41, 258)(42, 257)(43, 260)(44, 213)(45, 263)(46, 214)(47, 264)(48, 218)(49, 217)(50, 268)(51, 267)(52, 266)(53, 223)(54, 222)(55, 221)(56, 271)(57, 270)(58, 224)(59, 226)(60, 228)(61, 273)(62, 229)(63, 275)(64, 230)(65, 234)(66, 233)(67, 276)(68, 235)(69, 277)(70, 279)(71, 237)(72, 239)(73, 280)(74, 244)(75, 243)(76, 242)(77, 282)(78, 249)(79, 248)(80, 284)(81, 253)(82, 285)(83, 255)(84, 259)(85, 261)(86, 286)(87, 262)(88, 265)(89, 287)(90, 269)(91, 288)(92, 272)(93, 274)(94, 278)(95, 281)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1664
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1666 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 193>)
Aut   = $<192, 1481>$ (small group id <192, 1481>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, Y1^6, (Y2 * Y1^-3)^2, Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 32, 128, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 33, 129, 17, 113, 8, 104)(7, 103, 18, 114, 37, 133, 31, 127, 42, 138, 20, 116)(10, 106, 24, 120, 48, 144, 58, 154, 44, 140, 23, 119)(13, 109, 29, 125, 36, 132, 16, 112, 34, 130, 30, 126)(19, 115, 40, 136, 65, 161, 53, 149, 63, 159, 39, 135)(22, 118, 45, 141, 70, 166, 52, 148, 57, 153, 47, 143)(25, 121, 50, 146, 38, 134, 43, 139, 68, 164, 51, 147)(28, 124, 54, 150, 60, 156, 35, 131, 61, 157, 55, 151)(41, 137, 67, 163, 59, 155, 62, 158, 80, 176, 56, 152)(46, 142, 72, 168, 78, 174, 74, 170, 88, 184, 71, 167)(49, 145, 75, 171, 86, 182, 69, 165, 64, 160, 76, 172)(66, 162, 79, 175, 92, 188, 82, 178, 81, 177, 83, 179)(73, 169, 90, 186, 85, 181, 87, 183, 84, 180, 77, 173)(89, 185, 91, 187, 93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 224, 320)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 233, 329)(213, 309, 235, 331)(215, 311, 238, 334)(216, 312, 241, 337)(218, 314, 244, 340)(219, 315, 245, 341)(221, 317, 248, 344)(222, 318, 249, 345)(225, 321, 250, 346)(226, 322, 251, 347)(228, 324, 237, 333)(229, 325, 254, 350)(231, 327, 256, 352)(232, 328, 258, 354)(234, 330, 243, 339)(236, 332, 261, 357)(239, 335, 265, 361)(240, 336, 266, 362)(242, 338, 269, 365)(246, 342, 270, 366)(247, 343, 271, 367)(252, 348, 273, 369)(253, 349, 263, 359)(255, 351, 274, 370)(257, 353, 267, 363)(259, 355, 276, 372)(260, 356, 277, 373)(262, 358, 279, 375)(264, 360, 281, 377)(268, 364, 283, 379)(272, 368, 282, 378)(275, 371, 285, 381)(278, 374, 286, 382)(280, 376, 287, 383)(284, 380, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 225)(16, 227)(17, 198)(18, 231)(19, 199)(20, 232)(21, 236)(22, 238)(23, 201)(24, 203)(25, 241)(26, 240)(27, 206)(28, 205)(29, 247)(30, 246)(31, 245)(32, 250)(33, 207)(34, 252)(35, 208)(36, 253)(37, 255)(38, 256)(39, 210)(40, 212)(41, 258)(42, 257)(43, 261)(44, 213)(45, 263)(46, 214)(47, 264)(48, 218)(49, 217)(50, 268)(51, 267)(52, 266)(53, 223)(54, 222)(55, 221)(56, 271)(57, 270)(58, 224)(59, 273)(60, 226)(61, 228)(62, 274)(63, 229)(64, 230)(65, 234)(66, 233)(67, 275)(68, 278)(69, 235)(70, 280)(71, 237)(72, 239)(73, 281)(74, 244)(75, 243)(76, 242)(77, 283)(78, 249)(79, 248)(80, 284)(81, 251)(82, 254)(83, 259)(84, 285)(85, 286)(86, 260)(87, 287)(88, 262)(89, 265)(90, 288)(91, 269)(92, 272)(93, 276)(94, 277)(95, 279)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1663
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1667 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
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, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y3)^3, (Y3 * Y1)^4, (Y2 * Y1)^4, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y1, (Y3 * Y1 * Y3 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 97)(3, 103, 7, 99)(4, 105, 9, 100)(5, 107, 11, 101)(6, 109, 13, 102)(8, 113, 17, 104)(10, 117, 21, 106)(12, 120, 24, 108)(14, 124, 28, 110)(15, 118, 22, 111)(16, 126, 30, 112)(18, 130, 34, 114)(19, 131, 35, 115)(20, 123, 27, 116)(23, 137, 41, 119)(25, 141, 45, 121)(26, 142, 46, 122)(29, 147, 51, 125)(31, 146, 50, 127)(32, 143, 47, 128)(33, 150, 54, 129)(36, 139, 43, 132)(37, 157, 61, 133)(38, 155, 59, 134)(39, 138, 42, 135)(40, 160, 64, 136)(44, 163, 67, 140)(48, 170, 74, 144)(49, 168, 72, 145)(52, 167, 71, 148)(53, 175, 79, 149)(55, 173, 77, 151)(56, 165, 69, 152)(57, 169, 73, 153)(58, 161, 65, 154)(60, 166, 70, 156)(62, 171, 75, 158)(63, 180, 84, 159)(66, 184, 88, 162)(68, 182, 86, 164)(76, 189, 93, 172)(78, 183, 87, 174)(80, 185, 89, 176)(81, 188, 92, 177)(82, 190, 94, 178)(83, 186, 90, 179)(85, 187, 91, 181)(95, 192, 96, 191)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 22)(12, 25)(13, 26)(16, 31)(17, 32)(20, 37)(21, 38)(23, 42)(24, 43)(27, 48)(28, 49)(29, 52)(30, 53)(33, 56)(34, 57)(35, 59)(36, 60)(39, 63)(40, 65)(41, 66)(44, 69)(45, 70)(46, 72)(47, 73)(50, 76)(51, 77)(54, 80)(55, 81)(58, 83)(61, 78)(62, 85)(64, 86)(67, 89)(68, 90)(71, 92)(74, 87)(75, 94)(79, 93)(82, 95)(84, 88)(91, 96)(97, 100)(98, 102)(99, 104)(101, 108)(103, 112)(105, 116)(106, 114)(107, 119)(109, 123)(110, 121)(111, 125)(113, 129)(115, 132)(117, 135)(118, 136)(120, 140)(122, 143)(124, 146)(126, 150)(127, 148)(128, 151)(130, 154)(131, 149)(133, 156)(134, 158)(137, 163)(138, 161)(139, 164)(141, 167)(142, 162)(144, 169)(145, 171)(147, 174)(152, 177)(153, 178)(155, 176)(157, 180)(159, 181)(160, 183)(165, 186)(166, 187)(168, 185)(170, 189)(172, 190)(173, 184)(175, 182)(179, 191)(188, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1668
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1668 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: halfedge^2
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, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^6, Y2 * Y1^2 * Y3 * Y1^-2, (Y3 * Y2)^3, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1^-1)^2, (Y3 * Y2 * Y1^-2)^2, Y1^-1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1^-1, Y3 * Y1^-1 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 98, 2, 102, 6, 114, 18, 113, 17, 101, 5, 97)(3, 105, 9, 116, 20, 147, 51, 129, 33, 107, 11, 99)(4, 108, 12, 130, 34, 171, 75, 136, 40, 110, 14, 100)(7, 117, 21, 143, 47, 177, 81, 155, 59, 119, 23, 103)(8, 120, 24, 156, 60, 137, 41, 111, 15, 122, 26, 104)(10, 125, 29, 165, 69, 175, 79, 159, 63, 121, 25, 106)(13, 133, 37, 172, 76, 178, 82, 145, 49, 134, 38, 109)(16, 138, 42, 166, 70, 176, 80, 142, 46, 140, 44, 112)(19, 144, 48, 141, 45, 169, 73, 181, 85, 146, 50, 115)(22, 151, 55, 139, 43, 174, 78, 184, 88, 148, 52, 118)(27, 161, 65, 183, 87, 160, 64, 180, 84, 162, 66, 123)(28, 163, 67, 132, 36, 149, 53, 127, 31, 164, 68, 124)(30, 167, 71, 190, 94, 192, 96, 179, 83, 168, 72, 126)(32, 154, 58, 131, 35, 157, 61, 182, 86, 170, 74, 128)(39, 153, 57, 186, 90, 150, 54, 185, 89, 158, 62, 135)(56, 187, 91, 173, 77, 189, 93, 191, 95, 188, 92, 152)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 19)(8, 25)(9, 27)(10, 30)(11, 31)(12, 35)(14, 28)(16, 43)(17, 40)(18, 46)(20, 52)(21, 53)(22, 56)(23, 57)(24, 61)(26, 54)(29, 70)(32, 73)(33, 63)(34, 55)(36, 72)(37, 77)(38, 60)(39, 48)(41, 65)(42, 58)(44, 64)(45, 69)(47, 82)(49, 83)(50, 84)(51, 86)(59, 88)(62, 92)(66, 91)(67, 80)(68, 93)(71, 90)(74, 81)(75, 89)(76, 85)(78, 94)(79, 95)(87, 96)(97, 100)(98, 104)(99, 106)(101, 112)(102, 116)(103, 118)(105, 124)(107, 128)(108, 132)(109, 126)(110, 135)(111, 133)(113, 141)(114, 143)(115, 145)(117, 150)(119, 154)(120, 158)(121, 152)(122, 160)(123, 144)(125, 156)(127, 167)(129, 151)(130, 172)(131, 146)(134, 155)(136, 174)(137, 170)(138, 162)(139, 173)(140, 149)(142, 175)(147, 183)(148, 179)(153, 187)(157, 176)(159, 181)(161, 189)(163, 188)(164, 177)(165, 190)(166, 184)(168, 180)(169, 186)(171, 182)(178, 191)(185, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1667
Transitivity :: VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1669 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
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, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y2)^4, (Y3 * Y1)^4, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3, (Y3 * Y2 * Y1 * Y3 * Y1 * Y2)^2 ]
Map:: polytopal
	R = (1, 97, 4, 100)(2, 98, 6, 102)(3, 99, 8, 104)(5, 101, 12, 108)(7, 103, 15, 111)(9, 105, 19, 115)(10, 106, 21, 117)(11, 107, 22, 118)(13, 109, 26, 122)(14, 110, 28, 124)(16, 112, 32, 128)(17, 113, 34, 130)(18, 114, 36, 132)(20, 116, 38, 134)(23, 119, 43, 139)(24, 120, 45, 141)(25, 121, 47, 143)(27, 123, 49, 145)(29, 125, 52, 148)(30, 126, 54, 150)(31, 127, 56, 152)(33, 129, 57, 153)(35, 131, 59, 155)(37, 133, 61, 157)(39, 135, 63, 159)(40, 136, 65, 161)(41, 137, 67, 163)(42, 138, 69, 165)(44, 140, 70, 166)(46, 142, 72, 168)(48, 144, 74, 170)(50, 146, 76, 172)(51, 147, 78, 174)(53, 149, 79, 175)(55, 151, 80, 176)(58, 154, 82, 178)(60, 156, 83, 179)(62, 158, 85, 181)(64, 160, 87, 183)(66, 162, 88, 184)(68, 164, 89, 185)(71, 167, 91, 187)(73, 169, 92, 188)(75, 171, 94, 190)(77, 173, 95, 191)(81, 177, 93, 189)(84, 180, 90, 186)(86, 182, 96, 192)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 208)(202, 212)(204, 215)(206, 219)(207, 221)(209, 225)(210, 227)(211, 218)(213, 231)(214, 232)(216, 236)(217, 238)(220, 242)(222, 245)(223, 247)(224, 244)(226, 250)(228, 248)(229, 246)(230, 254)(233, 258)(234, 260)(235, 257)(237, 263)(239, 261)(240, 259)(241, 267)(243, 269)(249, 265)(251, 272)(252, 262)(253, 276)(255, 277)(256, 278)(264, 281)(266, 285)(268, 286)(270, 279)(271, 282)(273, 280)(274, 284)(275, 283)(287, 288)(289, 291)(290, 293)(292, 298)(294, 302)(295, 299)(296, 305)(297, 306)(300, 312)(301, 313)(303, 318)(304, 319)(307, 325)(308, 323)(309, 322)(310, 329)(311, 330)(314, 336)(315, 334)(316, 333)(317, 339)(320, 338)(321, 343)(324, 348)(326, 337)(327, 331)(328, 352)(332, 356)(335, 361)(340, 359)(341, 365)(342, 355)(344, 369)(345, 367)(346, 353)(347, 360)(349, 371)(350, 366)(351, 372)(354, 374)(357, 378)(358, 376)(362, 380)(363, 375)(364, 381)(368, 383)(370, 382)(373, 379)(377, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1672
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.1670 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 6})
Quotient :: edge^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^-2 * Y2 * Y3^2 * Y1, (Y1 * Y3^-1 * Y2)^2, (Y2 * Y1)^3, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1)^4, (Y3 * Y2)^4, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1 * Y1 * Y2 ]
Map:: polytopal
	R = (1, 97, 4, 100, 14, 110, 40, 136, 17, 113, 5, 101)(2, 98, 7, 103, 23, 119, 59, 155, 26, 122, 8, 104)(3, 99, 10, 106, 30, 126, 72, 168, 33, 129, 11, 107)(6, 102, 19, 115, 49, 145, 86, 182, 52, 148, 20, 116)(9, 105, 27, 123, 66, 162, 93, 189, 68, 164, 28, 124)(12, 108, 34, 130, 51, 147, 44, 140, 16, 112, 35, 131)(13, 109, 37, 133, 77, 173, 88, 184, 50, 146, 38, 134)(15, 111, 42, 138, 65, 161, 90, 186, 78, 174, 43, 139)(18, 114, 46, 142, 80, 176, 95, 191, 82, 178, 47, 143)(21, 117, 53, 149, 32, 128, 63, 159, 25, 121, 54, 150)(22, 118, 56, 152, 91, 187, 74, 170, 31, 127, 57, 153)(24, 120, 61, 157, 79, 175, 76, 172, 92, 188, 62, 158)(29, 125, 69, 165, 94, 190, 75, 171, 81, 177, 70, 166)(36, 132, 58, 154, 41, 137, 64, 160, 87, 183, 71, 167)(39, 135, 60, 156, 45, 141, 73, 169, 85, 181, 55, 151)(48, 144, 83, 179, 96, 192, 89, 185, 67, 163, 84, 180)(193, 194)(195, 201)(196, 204)(197, 207)(198, 210)(199, 213)(200, 216)(202, 217)(203, 223)(205, 228)(206, 222)(208, 211)(209, 237)(212, 242)(214, 247)(215, 241)(218, 256)(219, 243)(220, 259)(221, 252)(224, 238)(225, 250)(226, 254)(227, 267)(229, 268)(230, 249)(231, 244)(232, 269)(233, 240)(234, 262)(235, 245)(236, 266)(239, 273)(246, 281)(248, 282)(251, 283)(253, 276)(255, 280)(257, 279)(258, 272)(260, 277)(261, 275)(263, 274)(264, 286)(265, 271)(270, 285)(278, 288)(284, 287)(289, 291)(290, 294)(292, 301)(293, 304)(295, 310)(296, 313)(297, 306)(298, 317)(299, 320)(300, 316)(302, 327)(303, 329)(305, 314)(307, 336)(308, 339)(309, 335)(311, 346)(312, 348)(315, 353)(318, 359)(319, 361)(321, 356)(322, 344)(323, 364)(324, 355)(325, 341)(326, 349)(328, 366)(330, 345)(331, 363)(332, 357)(333, 354)(334, 367)(337, 373)(338, 375)(340, 370)(342, 378)(343, 369)(347, 380)(350, 377)(351, 371)(352, 368)(358, 372)(360, 379)(362, 376)(365, 374)(381, 384)(382, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1671
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1671 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
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, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^3, (Y3 * Y2)^4, (Y3 * Y1)^4, Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3, (Y3 * Y2 * Y1 * Y3 * Y1 * Y2)^2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292)(2, 98, 194, 290, 6, 102, 198, 294)(3, 99, 195, 291, 8, 104, 200, 296)(5, 101, 197, 293, 12, 108, 204, 300)(7, 103, 199, 295, 15, 111, 207, 303)(9, 105, 201, 297, 19, 115, 211, 307)(10, 106, 202, 298, 21, 117, 213, 309)(11, 107, 203, 299, 22, 118, 214, 310)(13, 109, 205, 301, 26, 122, 218, 314)(14, 110, 206, 302, 28, 124, 220, 316)(16, 112, 208, 304, 32, 128, 224, 320)(17, 113, 209, 305, 34, 130, 226, 322)(18, 114, 210, 306, 36, 132, 228, 324)(20, 116, 212, 308, 38, 134, 230, 326)(23, 119, 215, 311, 43, 139, 235, 331)(24, 120, 216, 312, 45, 141, 237, 333)(25, 121, 217, 313, 47, 143, 239, 335)(27, 123, 219, 315, 49, 145, 241, 337)(29, 125, 221, 317, 52, 148, 244, 340)(30, 126, 222, 318, 54, 150, 246, 342)(31, 127, 223, 319, 56, 152, 248, 344)(33, 129, 225, 321, 57, 153, 249, 345)(35, 131, 227, 323, 59, 155, 251, 347)(37, 133, 229, 325, 61, 157, 253, 349)(39, 135, 231, 327, 63, 159, 255, 351)(40, 136, 232, 328, 65, 161, 257, 353)(41, 137, 233, 329, 67, 163, 259, 355)(42, 138, 234, 330, 69, 165, 261, 357)(44, 140, 236, 332, 70, 166, 262, 358)(46, 142, 238, 334, 72, 168, 264, 360)(48, 144, 240, 336, 74, 170, 266, 362)(50, 146, 242, 338, 76, 172, 268, 364)(51, 147, 243, 339, 78, 174, 270, 366)(53, 149, 245, 341, 79, 175, 271, 367)(55, 151, 247, 343, 80, 176, 272, 368)(58, 154, 250, 346, 82, 178, 274, 370)(60, 156, 252, 348, 83, 179, 275, 371)(62, 158, 254, 350, 85, 181, 277, 373)(64, 160, 256, 352, 87, 183, 279, 375)(66, 162, 258, 354, 88, 184, 280, 376)(68, 164, 260, 356, 89, 185, 281, 377)(71, 167, 263, 359, 91, 187, 283, 379)(73, 169, 265, 361, 92, 188, 284, 380)(75, 171, 267, 363, 94, 190, 286, 382)(77, 173, 269, 365, 95, 191, 287, 383)(81, 177, 273, 369, 93, 189, 285, 381)(84, 180, 276, 372, 90, 186, 282, 378)(86, 182, 278, 374, 96, 192, 288, 384)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 112)(9, 100)(10, 116)(11, 101)(12, 119)(13, 102)(14, 123)(15, 125)(16, 104)(17, 129)(18, 131)(19, 122)(20, 106)(21, 135)(22, 136)(23, 108)(24, 140)(25, 142)(26, 115)(27, 110)(28, 146)(29, 111)(30, 149)(31, 151)(32, 148)(33, 113)(34, 154)(35, 114)(36, 152)(37, 150)(38, 158)(39, 117)(40, 118)(41, 162)(42, 164)(43, 161)(44, 120)(45, 167)(46, 121)(47, 165)(48, 163)(49, 171)(50, 124)(51, 173)(52, 128)(53, 126)(54, 133)(55, 127)(56, 132)(57, 169)(58, 130)(59, 176)(60, 166)(61, 180)(62, 134)(63, 181)(64, 182)(65, 139)(66, 137)(67, 144)(68, 138)(69, 143)(70, 156)(71, 141)(72, 185)(73, 153)(74, 189)(75, 145)(76, 190)(77, 147)(78, 183)(79, 186)(80, 155)(81, 184)(82, 188)(83, 187)(84, 157)(85, 159)(86, 160)(87, 174)(88, 177)(89, 168)(90, 175)(91, 179)(92, 178)(93, 170)(94, 172)(95, 192)(96, 191)(193, 291)(194, 293)(195, 289)(196, 298)(197, 290)(198, 302)(199, 299)(200, 305)(201, 306)(202, 292)(203, 295)(204, 312)(205, 313)(206, 294)(207, 318)(208, 319)(209, 296)(210, 297)(211, 325)(212, 323)(213, 322)(214, 329)(215, 330)(216, 300)(217, 301)(218, 336)(219, 334)(220, 333)(221, 339)(222, 303)(223, 304)(224, 338)(225, 343)(226, 309)(227, 308)(228, 348)(229, 307)(230, 337)(231, 331)(232, 352)(233, 310)(234, 311)(235, 327)(236, 356)(237, 316)(238, 315)(239, 361)(240, 314)(241, 326)(242, 320)(243, 317)(244, 359)(245, 365)(246, 355)(247, 321)(248, 369)(249, 367)(250, 353)(251, 360)(252, 324)(253, 371)(254, 366)(255, 372)(256, 328)(257, 346)(258, 374)(259, 342)(260, 332)(261, 378)(262, 376)(263, 340)(264, 347)(265, 335)(266, 380)(267, 375)(268, 381)(269, 341)(270, 350)(271, 345)(272, 383)(273, 344)(274, 382)(275, 349)(276, 351)(277, 379)(278, 354)(279, 363)(280, 358)(281, 384)(282, 357)(283, 373)(284, 362)(285, 364)(286, 370)(287, 368)(288, 377)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1670
Transitivity :: VT+
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1672 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 6})
Quotient :: loop^2
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, Y2^2, R^2, R * Y2 * R * Y1, (R * Y3)^2, Y3^6, Y3^-2 * Y2 * Y3^2 * Y1, (Y1 * Y3^-1 * Y2)^2, (Y2 * Y1)^3, (Y3^-1 * Y1 * Y3 * Y2)^2, Y3^-1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y2, (Y3^-1 * Y1)^4, (Y3 * Y2)^4, Y3^-1 * Y1 * Y3^2 * Y2 * Y3^-1 * Y1 * Y2 ]
Map::
	R = (1, 97, 193, 289, 4, 100, 196, 292, 14, 110, 206, 302, 40, 136, 232, 328, 17, 113, 209, 305, 5, 101, 197, 293)(2, 98, 194, 290, 7, 103, 199, 295, 23, 119, 215, 311, 59, 155, 251, 347, 26, 122, 218, 314, 8, 104, 200, 296)(3, 99, 195, 291, 10, 106, 202, 298, 30, 126, 222, 318, 72, 168, 264, 360, 33, 129, 225, 321, 11, 107, 203, 299)(6, 102, 198, 294, 19, 115, 211, 307, 49, 145, 241, 337, 86, 182, 278, 374, 52, 148, 244, 340, 20, 116, 212, 308)(9, 105, 201, 297, 27, 123, 219, 315, 66, 162, 258, 354, 93, 189, 285, 381, 68, 164, 260, 356, 28, 124, 220, 316)(12, 108, 204, 300, 34, 130, 226, 322, 51, 147, 243, 339, 44, 140, 236, 332, 16, 112, 208, 304, 35, 131, 227, 323)(13, 109, 205, 301, 37, 133, 229, 325, 77, 173, 269, 365, 88, 184, 280, 376, 50, 146, 242, 338, 38, 134, 230, 326)(15, 111, 207, 303, 42, 138, 234, 330, 65, 161, 257, 353, 90, 186, 282, 378, 78, 174, 270, 366, 43, 139, 235, 331)(18, 114, 210, 306, 46, 142, 238, 334, 80, 176, 272, 368, 95, 191, 287, 383, 82, 178, 274, 370, 47, 143, 239, 335)(21, 117, 213, 309, 53, 149, 245, 341, 32, 128, 224, 320, 63, 159, 255, 351, 25, 121, 217, 313, 54, 150, 246, 342)(22, 118, 214, 310, 56, 152, 248, 344, 91, 187, 283, 379, 74, 170, 266, 362, 31, 127, 223, 319, 57, 153, 249, 345)(24, 120, 216, 312, 61, 157, 253, 349, 79, 175, 271, 367, 76, 172, 268, 364, 92, 188, 284, 380, 62, 158, 254, 350)(29, 125, 221, 317, 69, 165, 261, 357, 94, 190, 286, 382, 75, 171, 267, 363, 81, 177, 273, 369, 70, 166, 262, 358)(36, 132, 228, 324, 58, 154, 250, 346, 41, 137, 233, 329, 64, 160, 256, 352, 87, 183, 279, 375, 71, 167, 263, 359)(39, 135, 231, 327, 60, 156, 252, 348, 45, 141, 237, 333, 73, 169, 265, 361, 85, 181, 277, 373, 55, 151, 247, 343)(48, 144, 240, 336, 83, 179, 275, 371, 96, 192, 288, 384, 89, 185, 281, 377, 67, 163, 259, 355, 84, 180, 276, 372)
	L = (1, 98)(2, 97)(3, 105)(4, 108)(5, 111)(6, 114)(7, 117)(8, 120)(9, 99)(10, 121)(11, 127)(12, 100)(13, 132)(14, 126)(15, 101)(16, 115)(17, 141)(18, 102)(19, 112)(20, 146)(21, 103)(22, 151)(23, 145)(24, 104)(25, 106)(26, 160)(27, 147)(28, 163)(29, 156)(30, 110)(31, 107)(32, 142)(33, 154)(34, 158)(35, 171)(36, 109)(37, 172)(38, 153)(39, 148)(40, 173)(41, 144)(42, 166)(43, 149)(44, 170)(45, 113)(46, 128)(47, 177)(48, 137)(49, 119)(50, 116)(51, 123)(52, 135)(53, 139)(54, 185)(55, 118)(56, 186)(57, 134)(58, 129)(59, 187)(60, 125)(61, 180)(62, 130)(63, 184)(64, 122)(65, 183)(66, 176)(67, 124)(68, 181)(69, 179)(70, 138)(71, 178)(72, 190)(73, 175)(74, 140)(75, 131)(76, 133)(77, 136)(78, 189)(79, 169)(80, 162)(81, 143)(82, 167)(83, 165)(84, 157)(85, 164)(86, 192)(87, 161)(88, 159)(89, 150)(90, 152)(91, 155)(92, 191)(93, 174)(94, 168)(95, 188)(96, 182)(193, 291)(194, 294)(195, 289)(196, 301)(197, 304)(198, 290)(199, 310)(200, 313)(201, 306)(202, 317)(203, 320)(204, 316)(205, 292)(206, 327)(207, 329)(208, 293)(209, 314)(210, 297)(211, 336)(212, 339)(213, 335)(214, 295)(215, 346)(216, 348)(217, 296)(218, 305)(219, 353)(220, 300)(221, 298)(222, 359)(223, 361)(224, 299)(225, 356)(226, 344)(227, 364)(228, 355)(229, 341)(230, 349)(231, 302)(232, 366)(233, 303)(234, 345)(235, 363)(236, 357)(237, 354)(238, 367)(239, 309)(240, 307)(241, 373)(242, 375)(243, 308)(244, 370)(245, 325)(246, 378)(247, 369)(248, 322)(249, 330)(250, 311)(251, 380)(252, 312)(253, 326)(254, 377)(255, 371)(256, 368)(257, 315)(258, 333)(259, 324)(260, 321)(261, 332)(262, 372)(263, 318)(264, 379)(265, 319)(266, 376)(267, 331)(268, 323)(269, 374)(270, 328)(271, 334)(272, 352)(273, 343)(274, 340)(275, 351)(276, 358)(277, 337)(278, 365)(279, 338)(280, 362)(281, 350)(282, 342)(283, 360)(284, 347)(285, 384)(286, 383)(287, 382)(288, 381)
	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 E17.1669
Transitivity :: VT+
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.1673 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, Y2^2, R^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y2 * Y3^-1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y3^2 * Y1 * Y3^-2, (R * Y2 * Y1 * Y2)^2, (Y1 * Y2)^4, Y2 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 31, 127)(22, 118, 43, 139)(23, 119, 45, 141)(25, 121, 44, 140)(27, 123, 50, 146)(28, 124, 53, 149)(29, 125, 54, 150)(30, 126, 55, 151)(32, 128, 58, 154)(33, 129, 60, 156)(35, 131, 59, 155)(37, 133, 61, 157)(38, 134, 64, 160)(39, 135, 65, 161)(40, 136, 66, 162)(41, 137, 51, 147)(42, 138, 52, 148)(46, 142, 72, 168)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(56, 152, 62, 158)(57, 153, 63, 159)(67, 163, 82, 178)(68, 164, 78, 174)(69, 165, 88, 184)(70, 166, 85, 181)(71, 167, 81, 177)(76, 172, 84, 180)(77, 173, 83, 179)(79, 175, 87, 183)(80, 176, 86, 182)(89, 185, 94, 190)(90, 186, 93, 189)(91, 187, 95, 191)(92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 234, 330)(215, 311, 233, 329)(216, 312, 238, 334)(218, 314, 241, 337)(220, 316, 244, 340)(221, 317, 243, 339)(224, 320, 249, 345)(225, 321, 248, 344)(226, 322, 240, 336)(228, 324, 239, 335)(230, 326, 255, 351)(231, 327, 254, 350)(235, 331, 260, 356)(236, 332, 259, 355)(237, 333, 263, 359)(242, 338, 267, 363)(245, 341, 270, 366)(246, 342, 273, 369)(247, 343, 264, 360)(250, 346, 262, 358)(251, 347, 274, 370)(252, 348, 261, 357)(253, 349, 265, 361)(256, 352, 277, 373)(257, 353, 280, 376)(258, 354, 266, 362)(268, 364, 281, 377)(269, 365, 282, 378)(271, 367, 286, 382)(272, 368, 285, 381)(275, 371, 284, 380)(276, 372, 283, 379)(278, 374, 288, 384)(279, 375, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 233)(22, 236)(23, 201)(24, 239)(25, 203)(26, 240)(27, 243)(28, 206)(29, 204)(30, 244)(31, 248)(32, 251)(33, 207)(34, 241)(35, 209)(36, 238)(37, 254)(38, 212)(39, 210)(40, 255)(41, 259)(42, 213)(43, 261)(44, 215)(45, 262)(46, 226)(47, 218)(48, 216)(49, 228)(50, 268)(51, 222)(52, 219)(53, 271)(54, 272)(55, 269)(56, 274)(57, 223)(58, 263)(59, 225)(60, 260)(61, 275)(62, 232)(63, 229)(64, 278)(65, 279)(66, 276)(67, 234)(68, 250)(69, 237)(70, 235)(71, 252)(72, 281)(73, 283)(74, 284)(75, 282)(76, 247)(77, 242)(78, 285)(79, 246)(80, 245)(81, 286)(82, 249)(83, 258)(84, 253)(85, 287)(86, 257)(87, 256)(88, 288)(89, 267)(90, 264)(91, 266)(92, 265)(93, 273)(94, 270)(95, 280)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1676
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1674 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, Y2^2, R^2, Y3^4, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1 * Y3^2 * Y1 * Y3^-2, (R * Y2 * Y3^-1)^2, (R * Y2 * Y1 * Y2)^2, (Y1 * Y2)^4, Y2 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1, (Y3^-1 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 9, 105)(4, 100, 12, 108)(5, 101, 14, 110)(6, 102, 15, 111)(7, 103, 18, 114)(8, 104, 20, 116)(10, 106, 24, 120)(11, 107, 26, 122)(13, 109, 19, 115)(16, 112, 34, 130)(17, 113, 36, 132)(21, 117, 31, 127)(22, 118, 43, 139)(23, 119, 45, 141)(25, 121, 44, 140)(27, 123, 50, 146)(28, 124, 53, 149)(29, 125, 54, 150)(30, 126, 55, 151)(32, 128, 58, 154)(33, 129, 60, 156)(35, 131, 59, 155)(37, 133, 61, 157)(38, 134, 64, 160)(39, 135, 65, 161)(40, 136, 66, 162)(41, 137, 52, 148)(42, 138, 51, 147)(46, 142, 72, 168)(47, 143, 73, 169)(48, 144, 74, 170)(49, 145, 75, 171)(56, 152, 63, 159)(57, 153, 62, 158)(67, 163, 82, 178)(68, 164, 81, 177)(69, 165, 88, 184)(70, 166, 85, 181)(71, 167, 78, 174)(76, 172, 84, 180)(77, 173, 83, 179)(79, 175, 87, 183)(80, 176, 86, 182)(89, 185, 93, 189)(90, 186, 94, 190)(91, 187, 95, 191)(92, 188, 96, 192)(193, 289, 195, 291)(194, 290, 198, 294)(196, 292, 203, 299)(197, 293, 202, 298)(199, 295, 209, 305)(200, 296, 208, 304)(201, 297, 213, 309)(204, 300, 219, 315)(205, 301, 217, 313)(206, 302, 222, 318)(207, 303, 223, 319)(210, 306, 229, 325)(211, 307, 227, 323)(212, 308, 232, 328)(214, 310, 234, 330)(215, 311, 233, 329)(216, 312, 238, 334)(218, 314, 241, 337)(220, 316, 244, 340)(221, 317, 243, 339)(224, 320, 249, 345)(225, 321, 248, 344)(226, 322, 239, 335)(228, 324, 240, 336)(230, 326, 255, 351)(231, 327, 254, 350)(235, 331, 260, 356)(236, 332, 259, 355)(237, 333, 263, 359)(242, 338, 267, 363)(245, 341, 270, 366)(246, 342, 273, 369)(247, 343, 264, 360)(250, 346, 261, 357)(251, 347, 274, 370)(252, 348, 262, 358)(253, 349, 266, 362)(256, 352, 277, 373)(257, 353, 280, 376)(258, 354, 265, 361)(268, 364, 281, 377)(269, 365, 282, 378)(271, 367, 286, 382)(272, 368, 285, 381)(275, 371, 283, 379)(276, 372, 284, 380)(278, 374, 288, 384)(279, 375, 287, 383)
	L = (1, 196)(2, 199)(3, 202)(4, 205)(5, 193)(6, 208)(7, 211)(8, 194)(9, 214)(10, 217)(11, 195)(12, 220)(13, 197)(14, 221)(15, 224)(16, 227)(17, 198)(18, 230)(19, 200)(20, 231)(21, 233)(22, 236)(23, 201)(24, 239)(25, 203)(26, 240)(27, 243)(28, 206)(29, 204)(30, 244)(31, 248)(32, 251)(33, 207)(34, 238)(35, 209)(36, 241)(37, 254)(38, 212)(39, 210)(40, 255)(41, 259)(42, 213)(43, 261)(44, 215)(45, 262)(46, 228)(47, 218)(48, 216)(49, 226)(50, 268)(51, 222)(52, 219)(53, 271)(54, 272)(55, 269)(56, 274)(57, 223)(58, 260)(59, 225)(60, 263)(61, 275)(62, 232)(63, 229)(64, 278)(65, 279)(66, 276)(67, 234)(68, 252)(69, 237)(70, 235)(71, 250)(72, 281)(73, 283)(74, 284)(75, 282)(76, 247)(77, 242)(78, 285)(79, 246)(80, 245)(81, 286)(82, 249)(83, 258)(84, 253)(85, 287)(86, 257)(87, 256)(88, 288)(89, 267)(90, 264)(91, 266)(92, 265)(93, 273)(94, 270)(95, 280)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1675
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1675 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, Y2^2, Y3^3, (Y1 * Y3)^2, (Y1 * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3^-1)^2, Y1^6, Y3^-1 * Y2 * Y1^2 * Y2 * Y1^-2, Y3^-1 * Y1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1, (Y1^-1 * Y2 * Y1 * Y3^-1)^2, (Y1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 21, 117, 19, 115, 5, 101)(3, 99, 11, 107, 31, 127, 67, 163, 39, 135, 13, 109)(4, 100, 15, 111, 41, 137, 53, 149, 24, 120, 16, 112)(6, 102, 20, 116, 50, 146, 54, 150, 29, 125, 9, 105)(8, 104, 25, 121, 51, 147, 79, 175, 42, 138, 27, 123)(10, 106, 30, 126, 18, 114, 48, 144, 44, 140, 23, 119)(12, 108, 35, 131, 22, 118, 55, 151, 66, 162, 36, 132)(14, 110, 40, 136, 77, 173, 87, 183, 57, 153, 33, 129)(17, 113, 45, 141, 81, 177, 60, 156, 83, 179, 46, 142)(26, 122, 61, 157, 52, 148, 80, 176, 43, 139, 62, 158)(28, 124, 64, 160, 47, 143, 84, 180, 85, 181, 59, 155)(32, 128, 68, 164, 78, 174, 93, 189, 72, 168, 70, 166)(34, 130, 56, 152, 38, 134, 49, 145, 74, 170, 65, 161)(37, 133, 75, 171, 95, 191, 90, 186, 89, 185, 58, 154)(63, 159, 71, 167, 82, 178, 76, 172, 96, 192, 86, 182)(69, 165, 88, 184, 92, 188, 94, 190, 73, 169, 91, 187)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 214, 310)(201, 297, 220, 316)(202, 298, 218, 314)(203, 299, 224, 320)(205, 301, 229, 325)(207, 303, 234, 330)(208, 304, 235, 331)(210, 306, 239, 335)(211, 307, 241, 337)(212, 308, 243, 339)(213, 309, 244, 340)(215, 311, 249, 345)(216, 312, 248, 344)(217, 313, 250, 346)(219, 315, 255, 351)(221, 317, 257, 353)(222, 318, 258, 354)(223, 319, 233, 329)(225, 321, 263, 359)(226, 322, 261, 357)(227, 323, 264, 360)(228, 324, 265, 361)(230, 326, 268, 364)(231, 327, 240, 336)(232, 328, 270, 366)(236, 332, 273, 369)(237, 333, 274, 370)(238, 334, 260, 356)(242, 338, 269, 365)(245, 341, 277, 373)(246, 342, 275, 371)(247, 343, 278, 374)(251, 347, 262, 358)(252, 348, 280, 376)(253, 349, 282, 378)(254, 350, 283, 379)(256, 352, 267, 363)(259, 355, 284, 380)(266, 362, 287, 383)(271, 367, 286, 382)(272, 368, 285, 381)(276, 372, 288, 384)(279, 375, 281, 377)
	L = (1, 196)(2, 201)(3, 204)(4, 198)(5, 210)(6, 193)(7, 215)(8, 218)(9, 202)(10, 194)(11, 225)(12, 206)(13, 230)(14, 195)(15, 197)(16, 236)(17, 234)(18, 207)(19, 242)(20, 208)(21, 245)(22, 248)(23, 216)(24, 199)(25, 251)(26, 220)(27, 238)(28, 200)(29, 233)(30, 221)(31, 257)(32, 261)(33, 226)(34, 203)(35, 205)(36, 266)(37, 264)(38, 227)(39, 269)(40, 228)(41, 222)(42, 239)(43, 243)(44, 212)(45, 256)(46, 253)(47, 209)(48, 211)(49, 231)(50, 240)(51, 273)(52, 275)(53, 246)(54, 213)(55, 279)(56, 249)(57, 214)(58, 280)(59, 252)(60, 217)(61, 219)(62, 237)(63, 282)(64, 254)(65, 258)(66, 223)(67, 247)(68, 255)(69, 263)(70, 250)(71, 224)(72, 268)(73, 270)(74, 232)(75, 274)(76, 229)(77, 241)(78, 287)(79, 272)(80, 276)(81, 235)(82, 283)(83, 277)(84, 271)(85, 244)(86, 284)(87, 259)(88, 262)(89, 278)(90, 260)(91, 267)(92, 281)(93, 286)(94, 288)(95, 265)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1674
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1676 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 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, Y2^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, Y3^4, (Y1 * Y3)^2, Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^6, Y1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2, (Y1^-1 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 7, 103, 20, 116, 19, 115, 5, 101)(3, 99, 11, 107, 29, 125, 61, 157, 37, 133, 13, 109)(4, 100, 15, 111, 38, 134, 48, 144, 22, 118, 10, 106)(6, 102, 18, 114, 44, 140, 47, 143, 23, 119, 9, 105)(8, 104, 24, 120, 54, 150, 93, 189, 60, 156, 26, 122)(12, 108, 33, 129, 68, 164, 85, 181, 63, 159, 32, 128)(14, 110, 36, 132, 71, 167, 87, 183, 64, 160, 31, 127)(16, 112, 28, 124, 53, 149, 88, 184, 74, 170, 40, 136)(17, 113, 41, 137, 78, 174, 92, 188, 80, 176, 42, 138)(21, 117, 49, 145, 89, 185, 76, 172, 69, 165, 51, 147)(25, 121, 58, 154, 96, 192, 81, 177, 72, 168, 57, 153)(27, 123, 30, 126, 65, 161, 73, 169, 94, 190, 56, 152)(34, 130, 67, 163, 86, 182, 46, 142, 84, 180, 70, 166)(35, 131, 43, 139, 79, 175, 90, 186, 52, 148, 55, 151)(39, 135, 75, 171, 62, 158, 50, 146, 91, 187, 77, 173)(45, 141, 82, 178, 66, 162, 59, 155, 95, 191, 83, 179)(193, 289, 195, 291)(194, 290, 200, 296)(196, 292, 206, 302)(197, 293, 209, 305)(198, 294, 204, 300)(199, 295, 213, 309)(201, 297, 219, 315)(202, 298, 217, 313)(203, 299, 222, 318)(205, 301, 227, 323)(207, 303, 231, 327)(208, 304, 226, 322)(210, 306, 235, 331)(211, 307, 237, 333)(212, 308, 238, 334)(214, 310, 244, 340)(215, 311, 242, 338)(216, 312, 247, 343)(218, 314, 223, 319)(220, 316, 251, 347)(221, 317, 254, 350)(224, 320, 258, 354)(225, 321, 261, 357)(228, 324, 233, 329)(229, 325, 264, 360)(230, 326, 265, 361)(232, 328, 268, 364)(234, 330, 257, 353)(236, 332, 273, 369)(239, 335, 279, 375)(240, 336, 277, 373)(241, 337, 256, 352)(243, 339, 248, 344)(245, 341, 284, 380)(246, 342, 260, 356)(249, 345, 270, 366)(250, 346, 259, 355)(252, 348, 267, 363)(253, 349, 280, 376)(255, 351, 272, 368)(262, 358, 269, 365)(263, 359, 275, 371)(266, 362, 285, 381)(271, 367, 274, 370)(276, 372, 286, 382)(278, 374, 282, 378)(281, 377, 288, 384)(283, 379, 287, 383)
	L = (1, 196)(2, 201)(3, 204)(4, 208)(5, 210)(6, 193)(7, 214)(8, 217)(9, 220)(10, 194)(11, 223)(12, 226)(13, 228)(14, 195)(15, 197)(16, 198)(17, 231)(18, 232)(19, 230)(20, 239)(21, 242)(22, 245)(23, 199)(24, 248)(25, 251)(26, 222)(27, 200)(28, 202)(29, 255)(30, 258)(31, 259)(32, 203)(33, 205)(34, 206)(35, 261)(36, 262)(37, 260)(38, 266)(39, 268)(40, 207)(41, 227)(42, 271)(43, 209)(44, 211)(45, 273)(46, 277)(47, 280)(48, 212)(49, 282)(50, 284)(51, 247)(52, 213)(53, 215)(54, 264)(55, 270)(56, 287)(57, 216)(58, 218)(59, 219)(60, 288)(61, 279)(62, 241)(63, 278)(64, 221)(65, 252)(66, 250)(67, 224)(68, 276)(69, 269)(70, 225)(71, 229)(72, 275)(73, 237)(74, 236)(75, 234)(76, 235)(77, 233)(78, 283)(79, 281)(80, 254)(81, 285)(82, 257)(83, 286)(84, 263)(85, 253)(86, 256)(87, 238)(88, 240)(89, 267)(90, 272)(91, 243)(92, 244)(93, 265)(94, 246)(95, 249)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1673
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1677 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1537>$ (small group id <192, 1537>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y2)^4, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 18, 114)(14, 110, 24, 120)(16, 112, 27, 123)(17, 113, 29, 125)(19, 115, 31, 127)(21, 117, 34, 130)(22, 118, 36, 132)(23, 119, 37, 133)(25, 121, 40, 136)(26, 122, 42, 138)(28, 124, 44, 140)(30, 126, 47, 143)(32, 128, 50, 146)(33, 129, 52, 148)(35, 131, 54, 150)(38, 134, 59, 155)(39, 135, 55, 151)(41, 137, 62, 158)(43, 139, 53, 149)(45, 141, 49, 145)(46, 142, 56, 152)(48, 144, 70, 166)(51, 147, 73, 169)(57, 153, 79, 175)(58, 154, 74, 170)(60, 156, 76, 172)(61, 157, 81, 177)(63, 159, 69, 165)(64, 160, 78, 174)(65, 161, 71, 167)(66, 162, 77, 173)(67, 163, 75, 171)(68, 164, 86, 182)(72, 168, 88, 184)(80, 176, 89, 185)(82, 178, 87, 183)(83, 179, 92, 188)(84, 180, 91, 187)(85, 181, 90, 186)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 215, 311)(207, 303, 217, 313)(209, 305, 220, 316)(211, 307, 222, 318)(212, 308, 224, 320)(214, 310, 227, 323)(216, 312, 230, 326)(218, 314, 233, 329)(219, 315, 232, 328)(221, 317, 237, 333)(223, 319, 240, 336)(225, 321, 243, 339)(226, 322, 242, 338)(228, 324, 247, 343)(229, 325, 249, 345)(231, 327, 252, 348)(234, 330, 255, 351)(235, 331, 253, 349)(236, 332, 257, 353)(238, 334, 259, 355)(239, 335, 260, 356)(241, 337, 263, 359)(244, 340, 266, 362)(245, 341, 264, 360)(246, 342, 268, 364)(248, 344, 270, 366)(250, 346, 272, 368)(251, 347, 271, 367)(254, 350, 274, 370)(256, 352, 276, 372)(258, 354, 277, 373)(261, 357, 279, 375)(262, 358, 278, 374)(265, 361, 281, 377)(267, 363, 283, 379)(269, 365, 284, 380)(273, 369, 285, 381)(275, 371, 286, 382)(280, 376, 287, 383)(282, 378, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 215)(14, 199)(15, 218)(16, 220)(17, 201)(18, 222)(19, 202)(20, 225)(21, 227)(22, 204)(23, 205)(24, 231)(25, 233)(26, 207)(27, 235)(28, 208)(29, 238)(30, 210)(31, 241)(32, 243)(33, 212)(34, 245)(35, 213)(36, 248)(37, 250)(38, 252)(39, 216)(40, 253)(41, 217)(42, 256)(43, 219)(44, 258)(45, 259)(46, 221)(47, 261)(48, 263)(49, 223)(50, 264)(51, 224)(52, 267)(53, 226)(54, 269)(55, 270)(56, 228)(57, 272)(58, 229)(59, 273)(60, 230)(61, 232)(62, 275)(63, 276)(64, 234)(65, 277)(66, 236)(67, 237)(68, 279)(69, 239)(70, 280)(71, 240)(72, 242)(73, 282)(74, 283)(75, 244)(76, 284)(77, 246)(78, 247)(79, 285)(80, 249)(81, 251)(82, 286)(83, 254)(84, 255)(85, 257)(86, 287)(87, 260)(88, 262)(89, 288)(90, 265)(91, 266)(92, 268)(93, 271)(94, 274)(95, 278)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1680
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1678 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1537>$ (small group id <192, 1537>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2 * Y1)^4, (Y2 * Y1)^6, (Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1)^6, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 10, 106)(6, 102, 12, 108)(8, 104, 15, 111)(11, 107, 20, 116)(13, 109, 23, 119)(14, 110, 25, 121)(16, 112, 28, 124)(17, 113, 30, 126)(18, 114, 31, 127)(19, 115, 33, 129)(21, 117, 36, 132)(22, 118, 38, 134)(24, 120, 41, 137)(26, 122, 44, 140)(27, 123, 46, 142)(29, 125, 49, 145)(32, 128, 54, 150)(34, 130, 57, 153)(35, 131, 59, 155)(37, 133, 62, 158)(39, 135, 52, 148)(40, 136, 60, 156)(42, 138, 55, 151)(43, 139, 63, 159)(45, 141, 58, 154)(47, 143, 53, 149)(48, 144, 61, 157)(50, 146, 56, 152)(51, 147, 64, 160)(65, 161, 79, 175)(66, 162, 76, 172)(67, 163, 85, 181)(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)(77, 173, 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)(194, 290, 197, 293)(196, 292, 200, 296)(198, 294, 203, 299)(199, 295, 205, 301)(201, 297, 208, 304)(202, 298, 210, 306)(204, 300, 213, 309)(206, 302, 216, 312)(207, 303, 218, 314)(209, 305, 221, 317)(211, 307, 224, 320)(212, 308, 226, 322)(214, 310, 229, 325)(215, 311, 231, 327)(217, 313, 234, 330)(219, 315, 237, 333)(220, 316, 239, 335)(222, 318, 242, 338)(223, 319, 244, 340)(225, 321, 247, 343)(227, 323, 250, 346)(228, 324, 252, 348)(230, 326, 255, 351)(232, 328, 257, 353)(233, 329, 258, 354)(235, 331, 260, 356)(236, 332, 261, 357)(238, 334, 263, 359)(240, 336, 265, 361)(241, 337, 259, 355)(243, 339, 266, 362)(245, 341, 267, 363)(246, 342, 268, 364)(248, 344, 270, 366)(249, 345, 271, 367)(251, 347, 273, 369)(253, 349, 275, 371)(254, 350, 269, 365)(256, 352, 276, 372)(262, 358, 278, 374)(264, 360, 279, 375)(272, 368, 281, 377)(274, 370, 282, 378)(277, 373, 283, 379)(280, 376, 285, 381)(284, 380, 287, 383)(286, 382, 288, 384)
	L = (1, 196)(2, 198)(3, 200)(4, 193)(5, 203)(6, 194)(7, 206)(8, 195)(9, 209)(10, 211)(11, 197)(12, 214)(13, 216)(14, 199)(15, 219)(16, 221)(17, 201)(18, 224)(19, 202)(20, 227)(21, 229)(22, 204)(23, 232)(24, 205)(25, 235)(26, 237)(27, 207)(28, 240)(29, 208)(30, 243)(31, 245)(32, 210)(33, 248)(34, 250)(35, 212)(36, 253)(37, 213)(38, 256)(39, 257)(40, 215)(41, 259)(42, 260)(43, 217)(44, 262)(45, 218)(46, 264)(47, 265)(48, 220)(49, 258)(50, 266)(51, 222)(52, 267)(53, 223)(54, 269)(55, 270)(56, 225)(57, 272)(58, 226)(59, 274)(60, 275)(61, 228)(62, 268)(63, 276)(64, 230)(65, 231)(66, 241)(67, 233)(68, 234)(69, 278)(70, 236)(71, 279)(72, 238)(73, 239)(74, 242)(75, 244)(76, 254)(77, 246)(78, 247)(79, 281)(80, 249)(81, 282)(82, 251)(83, 252)(84, 255)(85, 284)(86, 261)(87, 263)(88, 286)(89, 271)(90, 273)(91, 287)(92, 277)(93, 288)(94, 280)(95, 283)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1679
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.1679 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1537>$ (small group id <192, 1537>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y1^6, Y1^6, (Y1^-1 * Y2 * Y1^-2)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 32, 128, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 33, 129, 17, 113, 8, 104)(7, 103, 18, 114, 37, 133, 31, 127, 42, 138, 20, 116)(10, 106, 24, 120, 47, 143, 56, 152, 44, 140, 23, 119)(13, 109, 29, 125, 36, 132, 16, 112, 34, 130, 30, 126)(19, 115, 40, 136, 65, 161, 52, 148, 62, 158, 39, 135)(22, 118, 45, 141, 61, 157, 51, 147, 67, 163, 41, 137)(25, 121, 49, 145, 70, 166, 43, 139, 57, 153, 50, 146)(28, 124, 53, 149, 58, 154, 35, 131, 59, 155, 54, 150)(38, 134, 63, 159, 55, 151, 68, 164, 80, 176, 60, 156)(46, 142, 66, 162, 85, 181, 73, 169, 81, 177, 72, 168)(48, 144, 74, 170, 78, 174, 69, 165, 87, 183, 75, 171)(64, 160, 79, 175, 91, 187, 84, 180, 77, 173, 83, 179)(71, 167, 82, 178, 76, 172, 86, 182, 92, 188, 88, 184)(89, 185, 95, 191, 96, 192, 94, 190, 90, 186, 93, 189)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 224, 320)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 233, 329)(213, 309, 235, 331)(215, 311, 238, 334)(216, 312, 240, 336)(218, 314, 243, 339)(219, 315, 244, 340)(221, 317, 241, 337)(222, 318, 247, 343)(225, 321, 248, 344)(226, 322, 249, 345)(228, 324, 252, 348)(229, 325, 253, 349)(231, 327, 256, 352)(232, 328, 258, 354)(234, 330, 260, 356)(236, 332, 261, 357)(237, 333, 263, 359)(239, 335, 265, 361)(242, 338, 268, 364)(245, 341, 269, 365)(246, 342, 267, 363)(250, 346, 270, 366)(251, 347, 271, 367)(254, 350, 273, 369)(255, 351, 274, 370)(257, 353, 276, 372)(259, 355, 278, 374)(262, 358, 280, 376)(264, 360, 281, 377)(266, 362, 282, 378)(272, 368, 284, 380)(275, 371, 285, 381)(277, 373, 286, 382)(279, 375, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 225)(16, 227)(17, 198)(18, 231)(19, 199)(20, 232)(21, 236)(22, 238)(23, 201)(24, 203)(25, 240)(26, 239)(27, 206)(28, 205)(29, 246)(30, 245)(31, 244)(32, 248)(33, 207)(34, 250)(35, 208)(36, 251)(37, 254)(38, 256)(39, 210)(40, 212)(41, 258)(42, 257)(43, 261)(44, 213)(45, 264)(46, 214)(47, 218)(48, 217)(49, 267)(50, 266)(51, 265)(52, 223)(53, 222)(54, 221)(55, 269)(56, 224)(57, 270)(58, 226)(59, 228)(60, 271)(61, 273)(62, 229)(63, 275)(64, 230)(65, 234)(66, 233)(67, 277)(68, 276)(69, 235)(70, 279)(71, 281)(72, 237)(73, 243)(74, 242)(75, 241)(76, 282)(77, 247)(78, 249)(79, 252)(80, 283)(81, 253)(82, 285)(83, 255)(84, 260)(85, 259)(86, 286)(87, 262)(88, 287)(89, 263)(90, 268)(91, 272)(92, 288)(93, 274)(94, 278)(95, 280)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1678
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1680 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 6})
Quotient :: dipole
Aut^+ = C2 x C2 x S4 (small group id <96, 226>)
Aut   = $<192, 1537>$ (small group id <192, 1537>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, (R * Y2)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, Y1^6, (Y1 * Y2 * Y1^2)^2, (Y2 * Y1^-1)^4, (Y2 * Y1^2 * Y2 * Y1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 15, 111, 14, 110, 5, 101)(3, 99, 9, 105, 21, 117, 32, 128, 26, 122, 11, 107)(4, 100, 12, 108, 27, 123, 33, 129, 17, 113, 8, 104)(7, 103, 18, 114, 37, 133, 31, 127, 42, 138, 20, 116)(10, 106, 24, 120, 48, 144, 56, 152, 44, 140, 23, 119)(13, 109, 29, 125, 36, 132, 16, 112, 34, 130, 30, 126)(19, 115, 40, 136, 65, 161, 52, 148, 62, 158, 39, 135)(22, 118, 45, 141, 70, 166, 51, 147, 60, 156, 47, 143)(25, 121, 50, 146, 68, 164, 43, 139, 64, 160, 38, 134)(28, 124, 53, 149, 58, 154, 35, 131, 59, 155, 54, 150)(41, 137, 67, 163, 55, 151, 61, 157, 79, 175, 57, 153)(46, 142, 72, 168, 80, 176, 74, 170, 88, 184, 71, 167)(49, 145, 63, 159, 82, 178, 69, 165, 84, 180, 75, 171)(66, 162, 78, 174, 91, 187, 81, 177, 77, 173, 85, 181)(73, 169, 86, 182, 76, 172, 87, 183, 92, 188, 83, 179)(89, 185, 93, 189, 96, 192, 95, 191, 90, 186, 94, 190)(193, 289, 195, 291)(194, 290, 199, 295)(196, 292, 202, 298)(197, 293, 205, 301)(198, 294, 208, 304)(200, 296, 211, 307)(201, 297, 214, 310)(203, 299, 217, 313)(204, 300, 220, 316)(206, 302, 223, 319)(207, 303, 224, 320)(209, 305, 227, 323)(210, 306, 230, 326)(212, 308, 233, 329)(213, 309, 235, 331)(215, 311, 238, 334)(216, 312, 241, 337)(218, 314, 243, 339)(219, 315, 244, 340)(221, 317, 247, 343)(222, 318, 237, 333)(225, 321, 248, 344)(226, 322, 249, 345)(228, 324, 252, 348)(229, 325, 253, 349)(231, 327, 255, 351)(232, 328, 258, 354)(234, 330, 260, 356)(236, 332, 261, 357)(239, 335, 265, 361)(240, 336, 266, 362)(242, 338, 268, 364)(245, 341, 263, 359)(246, 342, 269, 365)(250, 346, 270, 366)(251, 347, 272, 368)(254, 350, 273, 369)(256, 352, 275, 371)(257, 353, 276, 372)(259, 355, 278, 374)(262, 358, 279, 375)(264, 360, 281, 377)(267, 363, 282, 378)(271, 367, 284, 380)(274, 370, 285, 381)(277, 373, 286, 382)(280, 376, 287, 383)(283, 379, 288, 384)
	L = (1, 196)(2, 200)(3, 202)(4, 193)(5, 204)(6, 209)(7, 211)(8, 194)(9, 215)(10, 195)(11, 216)(12, 197)(13, 220)(14, 219)(15, 225)(16, 227)(17, 198)(18, 231)(19, 199)(20, 232)(21, 236)(22, 238)(23, 201)(24, 203)(25, 241)(26, 240)(27, 206)(28, 205)(29, 246)(30, 245)(31, 244)(32, 248)(33, 207)(34, 250)(35, 208)(36, 251)(37, 254)(38, 255)(39, 210)(40, 212)(41, 258)(42, 257)(43, 261)(44, 213)(45, 263)(46, 214)(47, 264)(48, 218)(49, 217)(50, 267)(51, 266)(52, 223)(53, 222)(54, 221)(55, 269)(56, 224)(57, 270)(58, 226)(59, 228)(60, 272)(61, 273)(62, 229)(63, 230)(64, 274)(65, 234)(66, 233)(67, 277)(68, 276)(69, 235)(70, 280)(71, 237)(72, 239)(73, 281)(74, 243)(75, 242)(76, 282)(77, 247)(78, 249)(79, 283)(80, 252)(81, 253)(82, 256)(83, 285)(84, 260)(85, 259)(86, 286)(87, 287)(88, 262)(89, 265)(90, 268)(91, 271)(92, 288)(93, 275)(94, 278)(95, 279)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1677
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.1681 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-2 * T1 * T2^-2, T2^6, T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 49, 24, 8)(4, 12, 33, 61, 29, 13)(6, 17, 41, 72, 45, 18)(9, 26, 14, 38, 59, 27)(11, 30, 15, 39, 60, 31)(19, 47, 22, 53, 80, 48)(21, 50, 23, 54, 81, 51)(25, 55, 83, 68, 37, 56)(32, 62, 35, 63, 87, 65)(34, 57, 36, 58, 86, 66)(40, 70, 43, 76, 91, 71)(42, 73, 44, 77, 92, 74)(46, 78, 94, 82, 52, 79)(64, 88, 95, 84, 67, 85)(69, 89, 96, 93, 75, 90)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 133, 111)(103, 115, 142, 117)(104, 118, 148, 119)(106, 120, 137, 125)(108, 128, 160, 130)(109, 131, 163, 132)(112, 116, 141, 129)(113, 136, 165, 138)(114, 139, 171, 140)(122, 153, 166, 146)(123, 154, 167, 150)(124, 155, 179, 156)(126, 158, 169, 143)(127, 159, 170, 149)(134, 162, 172, 147)(135, 161, 173, 144)(145, 176, 190, 177)(151, 178, 185, 180)(152, 175, 186, 181)(157, 183, 191, 182)(164, 174, 189, 184)(168, 187, 192, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1682
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1682 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1^-2 * T2 * T1^-1 * T2^-2 * T1^-1, T1^2 * T2^-2 * T1^2 * T2^2, T1^2 * T2^-2 * T1^-2 * T2^-2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 31, 127, 13, 109)(6, 102, 16, 112, 41, 137, 17, 113)(9, 105, 24, 120, 44, 140, 25, 121)(11, 107, 28, 124, 43, 139, 29, 125)(14, 110, 36, 132, 42, 138, 37, 133)(15, 111, 38, 134, 40, 136, 39, 135)(18, 114, 46, 142, 34, 130, 47, 143)(20, 116, 50, 146, 33, 129, 51, 147)(21, 117, 53, 149, 32, 128, 54, 150)(22, 118, 55, 151, 30, 126, 56, 152)(23, 119, 48, 144, 35, 131, 57, 153)(26, 122, 62, 158, 79, 175, 63, 159)(27, 123, 52, 148, 70, 166, 45, 141)(49, 145, 69, 165, 88, 184, 68, 164)(58, 154, 80, 176, 67, 163, 81, 177)(59, 155, 82, 178, 66, 162, 83, 179)(60, 156, 84, 180, 65, 161, 85, 181)(61, 157, 86, 182, 64, 160, 87, 183)(71, 167, 89, 185, 78, 174, 90, 186)(72, 168, 91, 187, 77, 173, 92, 188)(73, 169, 93, 189, 76, 172, 94, 190)(74, 170, 95, 191, 75, 171, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 126)(13, 129)(14, 131)(15, 101)(16, 136)(17, 139)(18, 141)(19, 144)(20, 103)(21, 148)(22, 104)(23, 107)(24, 154)(25, 156)(26, 137)(27, 106)(28, 160)(29, 162)(30, 159)(31, 145)(32, 108)(33, 158)(34, 109)(35, 111)(36, 163)(37, 161)(38, 157)(39, 155)(40, 164)(41, 123)(42, 112)(43, 165)(44, 113)(45, 116)(46, 167)(47, 169)(48, 127)(49, 115)(50, 171)(51, 173)(52, 118)(53, 174)(54, 172)(55, 170)(56, 168)(57, 166)(58, 135)(59, 120)(60, 134)(61, 121)(62, 130)(63, 128)(64, 133)(65, 124)(66, 132)(67, 125)(68, 138)(69, 140)(70, 184)(71, 152)(72, 142)(73, 151)(74, 143)(75, 150)(76, 146)(77, 149)(78, 147)(79, 153)(80, 188)(81, 192)(82, 186)(83, 190)(84, 187)(85, 191)(86, 185)(87, 189)(88, 175)(89, 177)(90, 181)(91, 179)(92, 183)(93, 176)(94, 180)(95, 178)(96, 182)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1681
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1683 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2 * Y1^-1 * Y2^2 * Y1 * Y2, Y2^6, (Y2^-1, Y1, Y2^-1), (Y1^-1 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 37, 133, 15, 111)(7, 103, 19, 115, 46, 142, 21, 117)(8, 104, 22, 118, 52, 148, 23, 119)(10, 106, 24, 120, 41, 137, 29, 125)(12, 108, 32, 128, 64, 160, 34, 130)(13, 109, 35, 131, 67, 163, 36, 132)(16, 112, 20, 116, 45, 141, 33, 129)(17, 113, 40, 136, 69, 165, 42, 138)(18, 114, 43, 139, 75, 171, 44, 140)(26, 122, 57, 153, 70, 166, 50, 146)(27, 123, 58, 154, 71, 167, 54, 150)(28, 124, 59, 155, 83, 179, 60, 156)(30, 126, 62, 158, 73, 169, 47, 143)(31, 127, 63, 159, 74, 170, 53, 149)(38, 134, 66, 162, 76, 172, 51, 147)(39, 135, 65, 161, 77, 173, 48, 144)(49, 145, 80, 176, 94, 190, 81, 177)(55, 151, 82, 178, 89, 185, 84, 180)(56, 152, 79, 175, 90, 186, 85, 181)(61, 157, 87, 183, 95, 191, 86, 182)(68, 164, 78, 174, 93, 189, 88, 184)(72, 168, 91, 187, 96, 192, 92, 188)(193, 289, 195, 291, 202, 298, 220, 316, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 241, 337, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 253, 349, 221, 317, 205, 301)(198, 294, 209, 305, 233, 329, 264, 360, 237, 333, 210, 306)(201, 297, 218, 314, 206, 302, 230, 326, 251, 347, 219, 315)(203, 299, 222, 318, 207, 303, 231, 327, 252, 348, 223, 319)(211, 307, 239, 335, 214, 310, 245, 341, 272, 368, 240, 336)(213, 309, 242, 338, 215, 311, 246, 342, 273, 369, 243, 339)(217, 313, 247, 343, 275, 371, 260, 356, 229, 325, 248, 344)(224, 320, 254, 350, 227, 323, 255, 351, 279, 375, 257, 353)(226, 322, 249, 345, 228, 324, 250, 346, 278, 374, 258, 354)(232, 328, 262, 358, 235, 331, 268, 364, 283, 379, 263, 359)(234, 330, 265, 361, 236, 332, 269, 365, 284, 380, 266, 362)(238, 334, 270, 366, 286, 382, 274, 370, 244, 340, 271, 367)(256, 352, 280, 376, 287, 383, 276, 372, 259, 355, 277, 373)(261, 357, 281, 377, 288, 384, 285, 381, 267, 363, 282, 378)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 220)(11, 222)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 233)(18, 198)(19, 239)(20, 241)(21, 242)(22, 245)(23, 246)(24, 200)(25, 247)(26, 206)(27, 201)(28, 208)(29, 205)(30, 207)(31, 203)(32, 254)(33, 253)(34, 249)(35, 255)(36, 250)(37, 248)(38, 251)(39, 252)(40, 262)(41, 264)(42, 265)(43, 268)(44, 269)(45, 210)(46, 270)(47, 214)(48, 211)(49, 216)(50, 215)(51, 213)(52, 271)(53, 272)(54, 273)(55, 275)(56, 217)(57, 228)(58, 278)(59, 219)(60, 223)(61, 221)(62, 227)(63, 279)(64, 280)(65, 224)(66, 226)(67, 277)(68, 229)(69, 281)(70, 235)(71, 232)(72, 237)(73, 236)(74, 234)(75, 282)(76, 283)(77, 284)(78, 286)(79, 238)(80, 240)(81, 243)(82, 244)(83, 260)(84, 259)(85, 256)(86, 258)(87, 257)(88, 287)(89, 288)(90, 261)(91, 263)(92, 266)(93, 267)(94, 274)(95, 276)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1684
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1684 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = ((C2 x (C3 : C4)) : C2) : C2 (small group id <96, 41>)
Aut   = $<192, 591>$ (small group id <192, 591>)
|r| :: 2
Presentation :: [ Y1, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, (Y3^-1 * Y2^-1)^4, (Y3^-1 * Y2 * Y3^-1 * Y2^-1)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 217, 313, 203, 299)(197, 293, 206, 302, 229, 325, 207, 303)(199, 295, 211, 307, 238, 334, 213, 309)(200, 296, 214, 310, 244, 340, 215, 311)(202, 298, 216, 312, 233, 329, 221, 317)(204, 300, 224, 320, 256, 352, 226, 322)(205, 301, 227, 323, 259, 355, 228, 324)(208, 304, 212, 308, 237, 333, 225, 321)(209, 305, 232, 328, 261, 357, 234, 330)(210, 306, 235, 331, 267, 363, 236, 332)(218, 314, 249, 345, 262, 358, 242, 338)(219, 315, 250, 346, 263, 359, 246, 342)(220, 316, 251, 347, 275, 371, 252, 348)(222, 318, 254, 350, 265, 361, 239, 335)(223, 319, 255, 351, 266, 362, 245, 341)(230, 326, 258, 354, 268, 364, 243, 339)(231, 327, 257, 353, 269, 365, 240, 336)(241, 337, 272, 368, 286, 382, 273, 369)(247, 343, 274, 370, 281, 377, 276, 372)(248, 344, 271, 367, 282, 378, 277, 373)(253, 349, 279, 375, 287, 383, 278, 374)(260, 356, 270, 366, 285, 381, 280, 376)(264, 360, 283, 379, 288, 384, 284, 380)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 220)(11, 222)(12, 225)(13, 196)(14, 230)(15, 231)(16, 197)(17, 233)(18, 198)(19, 239)(20, 241)(21, 242)(22, 245)(23, 246)(24, 200)(25, 247)(26, 206)(27, 201)(28, 208)(29, 205)(30, 207)(31, 203)(32, 254)(33, 253)(34, 249)(35, 255)(36, 250)(37, 248)(38, 251)(39, 252)(40, 262)(41, 264)(42, 265)(43, 268)(44, 269)(45, 210)(46, 270)(47, 214)(48, 211)(49, 216)(50, 215)(51, 213)(52, 271)(53, 272)(54, 273)(55, 275)(56, 217)(57, 228)(58, 278)(59, 219)(60, 223)(61, 221)(62, 227)(63, 279)(64, 280)(65, 224)(66, 226)(67, 277)(68, 229)(69, 281)(70, 235)(71, 232)(72, 237)(73, 236)(74, 234)(75, 282)(76, 283)(77, 284)(78, 286)(79, 238)(80, 240)(81, 243)(82, 244)(83, 260)(84, 259)(85, 256)(86, 258)(87, 257)(88, 287)(89, 288)(90, 261)(91, 263)(92, 266)(93, 267)(94, 274)(95, 276)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1683
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1685 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^6, T1 * T2 * T1 * T2^-1 * T1^-2 * T2^-1, T2^2 * T1^-1 * T2^3 * T1 * T2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 53, 24, 8)(4, 12, 34, 69, 38, 13)(6, 17, 47, 87, 49, 18)(9, 26, 63, 44, 65, 27)(11, 31, 72, 45, 74, 32)(14, 40, 68, 28, 67, 41)(15, 42, 71, 30, 70, 43)(19, 51, 85, 59, 61, 25)(21, 55, 77, 60, 80, 36)(22, 35, 73, 52, 82, 56)(23, 57, 64, 54, 93, 58)(33, 75, 95, 81, 84, 76)(37, 39, 83, 78, 66, 62)(46, 86, 94, 90, 91, 50)(48, 79, 92, 88, 96, 89)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 146, 117)(104, 118, 138, 119)(106, 124, 162, 126)(108, 129, 123, 131)(109, 132, 175, 133)(112, 140, 181, 141)(113, 142, 172, 136)(114, 128, 153, 144)(116, 148, 166, 150)(120, 155, 190, 156)(122, 158, 187, 160)(125, 149, 183, 165)(127, 151, 164, 169)(130, 173, 192, 174)(134, 177, 159, 178)(137, 152, 170, 176)(139, 180, 188, 147)(143, 168, 189, 184)(145, 186, 191, 163)(154, 161, 179, 182)(157, 167, 171, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1686
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1686 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2, (T2^-1 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 44, 140, 22, 118)(11, 107, 27, 123, 36, 132, 20, 116)(14, 110, 30, 126, 37, 133, 21, 117)(15, 111, 28, 124, 51, 147, 33, 129)(18, 114, 40, 136, 63, 159, 38, 134)(23, 119, 45, 141, 66, 162, 42, 138)(25, 121, 49, 145, 69, 165, 43, 139)(26, 122, 50, 146, 71, 167, 47, 143)(31, 127, 34, 130, 59, 155, 55, 151)(32, 128, 52, 148, 78, 174, 56, 152)(39, 135, 64, 160, 84, 180, 61, 157)(41, 137, 68, 164, 87, 183, 62, 158)(46, 142, 73, 169, 88, 184, 67, 163)(48, 144, 74, 170, 92, 188, 70, 166)(53, 149, 58, 154, 82, 178, 76, 172)(54, 150, 60, 156, 86, 182, 79, 175)(57, 153, 77, 173, 83, 179, 81, 177)(65, 161, 90, 186, 80, 176, 85, 181)(72, 168, 93, 189, 95, 191, 89, 185)(75, 171, 94, 190, 96, 192, 91, 187)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 121)(11, 99)(12, 124)(13, 126)(14, 128)(15, 101)(16, 130)(17, 133)(18, 135)(19, 137)(20, 103)(21, 139)(22, 104)(23, 107)(24, 142)(25, 144)(26, 106)(27, 108)(28, 146)(29, 148)(30, 150)(31, 109)(32, 111)(33, 145)(34, 154)(35, 156)(36, 112)(37, 158)(38, 113)(39, 116)(40, 161)(41, 163)(42, 115)(43, 118)(44, 164)(45, 160)(46, 168)(47, 120)(48, 122)(49, 171)(50, 123)(51, 170)(52, 173)(53, 125)(54, 127)(55, 174)(56, 165)(57, 129)(58, 132)(59, 179)(60, 181)(61, 131)(62, 134)(63, 182)(64, 178)(65, 185)(66, 136)(67, 138)(68, 187)(69, 183)(70, 140)(71, 141)(72, 143)(73, 186)(74, 189)(75, 153)(76, 147)(77, 149)(78, 190)(79, 152)(80, 151)(81, 188)(82, 167)(83, 191)(84, 155)(85, 157)(86, 192)(87, 175)(88, 159)(89, 162)(90, 177)(91, 166)(92, 169)(93, 172)(94, 176)(95, 180)(96, 184)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1685
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1687 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (R * Y1)^2, (R * Y3)^2, Y2^6, Y1 * Y2 * Y1 * Y2^-1 * Y1^-2 * Y2^-1, Y2^2 * Y1^-1 * Y2^3 * Y1 * Y2, (Y1 * Y2)^4, (Y3^-1 * Y1^-1)^4 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 50, 146, 21, 117)(8, 104, 22, 118, 42, 138, 23, 119)(10, 106, 28, 124, 66, 162, 30, 126)(12, 108, 33, 129, 27, 123, 35, 131)(13, 109, 36, 132, 79, 175, 37, 133)(16, 112, 44, 140, 85, 181, 45, 141)(17, 113, 46, 142, 76, 172, 40, 136)(18, 114, 32, 128, 57, 153, 48, 144)(20, 116, 52, 148, 70, 166, 54, 150)(24, 120, 59, 155, 94, 190, 60, 156)(26, 122, 62, 158, 91, 187, 64, 160)(29, 125, 53, 149, 87, 183, 69, 165)(31, 127, 55, 151, 68, 164, 73, 169)(34, 130, 77, 173, 96, 192, 78, 174)(38, 134, 81, 177, 63, 159, 82, 178)(41, 137, 56, 152, 74, 170, 80, 176)(43, 139, 84, 180, 92, 188, 51, 147)(47, 143, 72, 168, 93, 189, 88, 184)(49, 145, 90, 186, 95, 191, 67, 163)(58, 154, 65, 161, 83, 179, 86, 182)(61, 157, 71, 167, 75, 171, 89, 185)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 245, 341, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 261, 357, 230, 326, 205, 301)(198, 294, 209, 305, 239, 335, 279, 375, 241, 337, 210, 306)(201, 297, 218, 314, 255, 351, 236, 332, 257, 353, 219, 315)(203, 299, 223, 319, 264, 360, 237, 333, 266, 362, 224, 320)(206, 302, 232, 328, 260, 356, 220, 316, 259, 355, 233, 329)(207, 303, 234, 330, 263, 359, 222, 318, 262, 358, 235, 331)(211, 307, 243, 339, 277, 373, 251, 347, 253, 349, 217, 313)(213, 309, 247, 343, 269, 365, 252, 348, 272, 368, 228, 324)(214, 310, 227, 323, 265, 361, 244, 340, 274, 370, 248, 344)(215, 311, 249, 345, 256, 352, 246, 342, 285, 381, 250, 346)(225, 321, 267, 363, 287, 383, 273, 369, 276, 372, 268, 364)(229, 325, 231, 327, 275, 371, 270, 366, 258, 354, 254, 350)(238, 334, 278, 374, 286, 382, 282, 378, 283, 379, 242, 338)(240, 336, 271, 367, 284, 380, 280, 376, 288, 384, 281, 377)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 239)(18, 198)(19, 243)(20, 245)(21, 247)(22, 227)(23, 249)(24, 200)(25, 211)(26, 255)(27, 201)(28, 259)(29, 208)(30, 262)(31, 264)(32, 203)(33, 267)(34, 261)(35, 265)(36, 213)(37, 231)(38, 205)(39, 275)(40, 260)(41, 206)(42, 263)(43, 207)(44, 257)(45, 266)(46, 278)(47, 279)(48, 271)(49, 210)(50, 238)(51, 277)(52, 274)(53, 216)(54, 285)(55, 269)(56, 214)(57, 256)(58, 215)(59, 253)(60, 272)(61, 217)(62, 229)(63, 236)(64, 246)(65, 219)(66, 254)(67, 233)(68, 220)(69, 230)(70, 235)(71, 222)(72, 237)(73, 244)(74, 224)(75, 287)(76, 225)(77, 252)(78, 258)(79, 284)(80, 228)(81, 276)(82, 248)(83, 270)(84, 268)(85, 251)(86, 286)(87, 241)(88, 288)(89, 240)(90, 283)(91, 242)(92, 280)(93, 250)(94, 282)(95, 273)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1688
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1688 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = SL(2,3) : C4 (small group id <96, 67>)
Aut   = (SL(2,3) : C4) : C2 (small group id <192, 988>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2^2, (Y3 * Y2^-1)^4, Y3^2 * Y2 * Y3^-3 * Y2^-1 * Y3, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 217, 313, 203, 299)(197, 293, 206, 302, 231, 327, 207, 303)(199, 295, 211, 307, 224, 320, 213, 309)(200, 296, 214, 310, 248, 344, 215, 311)(202, 298, 220, 316, 258, 354, 222, 318)(204, 300, 225, 321, 267, 363, 227, 323)(205, 301, 228, 324, 232, 328, 229, 325)(208, 304, 236, 332, 277, 373, 237, 333)(209, 305, 234, 330, 247, 343, 239, 335)(210, 306, 240, 336, 256, 352, 219, 315)(212, 308, 243, 339, 283, 379, 245, 341)(216, 312, 251, 347, 265, 361, 252, 348)(218, 314, 242, 338, 263, 359, 255, 351)(221, 317, 244, 340, 279, 375, 261, 357)(223, 319, 264, 360, 286, 382, 249, 345)(226, 322, 268, 364, 259, 355, 269, 365)(230, 326, 273, 369, 288, 384, 274, 370)(233, 329, 270, 366, 285, 381, 276, 372)(235, 331, 250, 346, 257, 353, 272, 368)(238, 334, 278, 374, 287, 383, 254, 350)(241, 337, 262, 358, 284, 380, 282, 378)(246, 342, 260, 356, 253, 349, 281, 377)(266, 362, 271, 367, 280, 376, 275, 371)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 238)(18, 198)(19, 242)(20, 244)(21, 246)(22, 231)(23, 225)(24, 200)(25, 227)(26, 254)(27, 201)(28, 259)(29, 208)(30, 262)(31, 265)(32, 203)(33, 255)(34, 261)(35, 270)(36, 256)(37, 211)(38, 205)(39, 275)(40, 260)(41, 206)(42, 263)(43, 207)(44, 257)(45, 266)(46, 279)(47, 280)(48, 248)(49, 210)(50, 269)(51, 258)(52, 216)(53, 273)(54, 284)(55, 213)(56, 285)(57, 214)(58, 215)(59, 272)(60, 276)(61, 217)(62, 236)(63, 245)(64, 264)(65, 219)(66, 249)(67, 233)(68, 220)(69, 230)(70, 235)(71, 222)(72, 268)(73, 237)(74, 224)(75, 239)(76, 287)(77, 251)(78, 277)(79, 228)(80, 229)(81, 250)(82, 253)(83, 243)(84, 247)(85, 274)(86, 283)(87, 241)(88, 288)(89, 240)(90, 286)(91, 281)(92, 252)(93, 278)(94, 267)(95, 271)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1687
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1689 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1 * T2 * T1^-1 * T2^-2 * T1, T2^-2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 29, 13)(6, 16, 34, 17)(9, 23, 46, 24)(11, 27, 54, 28)(14, 30, 56, 31)(15, 32, 60, 33)(18, 35, 62, 36)(20, 39, 70, 40)(21, 41, 72, 42)(22, 43, 76, 44)(25, 50, 85, 51)(26, 52, 86, 53)(37, 66, 95, 67)(38, 68, 96, 69)(45, 77, 59, 78)(47, 79, 58, 80)(48, 81, 57, 82)(49, 83, 55, 84)(61, 87, 75, 88)(63, 89, 74, 90)(64, 91, 73, 92)(65, 93, 71, 94)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 121, 130, 122)(115, 133, 125, 134)(119, 141, 123, 143)(120, 144, 124, 145)(126, 151, 128, 153)(127, 154, 129, 155)(131, 157, 135, 159)(132, 160, 136, 161)(137, 167, 139, 169)(138, 170, 140, 171)(142, 165, 150, 163)(146, 172, 148, 168)(147, 166, 149, 158)(152, 164, 156, 162)(173, 183, 175, 185)(174, 190, 176, 188)(177, 187, 179, 189)(178, 186, 180, 184)(181, 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) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1696
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1690 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-2 * T2 * T1^-2, T2^6, T2^-3 * T1 * T2^-3 * T1^-1, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1 * T2 * T1^-1 * T2^-1)^2, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 45, 24, 8)(4, 12, 32, 61, 33, 13)(6, 17, 40, 68, 41, 18)(9, 25, 55, 38, 58, 26)(11, 30, 64, 39, 65, 31)(14, 34, 60, 27, 59, 35)(15, 36, 63, 29, 62, 37)(19, 42, 69, 53, 72, 43)(21, 47, 77, 54, 78, 48)(22, 49, 74, 44, 73, 50)(23, 51, 76, 46, 75, 52)(56, 83, 66, 81, 93, 84)(57, 85, 67, 82, 94, 86)(70, 89, 79, 87, 95, 90)(71, 91, 80, 88, 96, 92)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 136, 125)(112, 134, 137, 135)(116, 140, 128, 142)(120, 149, 129, 150)(121, 146, 126, 148)(122, 152, 127, 153)(124, 141, 164, 157)(130, 162, 132, 163)(131, 138, 133, 143)(139, 166, 144, 167)(145, 175, 147, 176)(151, 177, 160, 178)(154, 170, 161, 172)(155, 180, 158, 182)(156, 168, 159, 174)(165, 183, 173, 184)(169, 186, 171, 188)(179, 185, 181, 187)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1693
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1691 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^6, T2^2 * T1^-2 * T2^-1 * T1^-1 * T2 * T1^-1, T2^3 * T1^-1 * T2^-3 * T1, T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1, (T1^-1 * T2^-1)^4, T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^-2 * T1^-1, (T2 * T1^-1 * T2^-1 * T1 * T2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 56, 24, 8)(4, 12, 34, 73, 38, 13)(6, 17, 47, 82, 51, 18)(9, 26, 50, 44, 70, 27)(11, 31, 52, 45, 76, 32)(14, 40, 72, 28, 71, 41)(15, 42, 74, 30, 46, 43)(19, 53, 37, 65, 89, 54)(21, 58, 80, 66, 92, 59)(22, 61, 90, 55, 39, 62)(23, 63, 91, 57, 33, 64)(25, 67, 93, 79, 35, 68)(36, 69, 94, 78, 85, 75)(48, 83, 77, 88, 96, 84)(49, 86, 95, 81, 60, 87)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 148, 117)(104, 118, 156, 119)(106, 124, 157, 126)(108, 129, 173, 131)(109, 132, 167, 133)(112, 140, 175, 141)(113, 142, 176, 144)(114, 145, 181, 146)(116, 151, 182, 153)(120, 161, 128, 162)(122, 149, 139, 160)(123, 143, 177, 165)(125, 152, 178, 169)(127, 171, 179, 158)(130, 174, 136, 150)(134, 159, 180, 163)(137, 164, 183, 154)(138, 155, 184, 147)(166, 185, 170, 187)(168, 189, 191, 188)(172, 190, 192, 186)
	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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1694
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1692 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 6})
Quotient :: edge
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, T2^-1 * T1 * T2^-3 * T1^-1 * T2^-2, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 56, 24, 8)(4, 12, 34, 73, 38, 13)(6, 17, 47, 83, 51, 18)(9, 26, 68, 44, 70, 27)(11, 31, 49, 45, 75, 32)(14, 40, 72, 28, 48, 41)(15, 42, 74, 30, 60, 43)(19, 53, 25, 65, 89, 54)(21, 58, 36, 66, 92, 59)(22, 61, 90, 55, 35, 62)(23, 63, 91, 57, 85, 64)(33, 76, 80, 69, 93, 77)(37, 71, 94, 78, 39, 67)(46, 81, 52, 88, 95, 82)(50, 86, 96, 84, 79, 87)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 135, 111)(103, 115, 148, 117)(104, 118, 156, 119)(106, 124, 167, 126)(108, 129, 164, 131)(109, 132, 175, 133)(112, 140, 150, 141)(113, 142, 176, 144)(114, 145, 181, 146)(116, 151, 138, 153)(120, 161, 178, 162)(122, 163, 177, 160)(123, 157, 134, 165)(125, 152, 179, 169)(127, 154, 137, 158)(128, 159, 180, 143)(130, 155, 182, 174)(136, 147, 184, 173)(139, 172, 183, 149)(166, 190, 191, 187)(168, 186, 171, 188)(170, 189, 192, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1695
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1693 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, T1^4, (F * T2)^2, T2^4, (F * T1)^2, T1 * T2 * T1^2 * T2^-1 * T1, T2 * T1 * T2^-2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1^-1, T2^-2 * T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-2 * T1 * T2 * T1^-1 * T2^-2 * T1, T2^-2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1, T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 34, 130, 17, 113)(9, 105, 23, 119, 46, 142, 24, 120)(11, 107, 27, 123, 54, 150, 28, 124)(14, 110, 30, 126, 56, 152, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 62, 158, 36, 132)(20, 116, 39, 135, 70, 166, 40, 136)(21, 117, 41, 137, 72, 168, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(25, 121, 50, 146, 85, 181, 51, 147)(26, 122, 52, 148, 86, 182, 53, 149)(37, 133, 66, 162, 95, 191, 67, 163)(38, 134, 68, 164, 96, 192, 69, 165)(45, 141, 77, 173, 59, 155, 78, 174)(47, 143, 79, 175, 58, 154, 80, 176)(48, 144, 81, 177, 57, 153, 82, 178)(49, 145, 83, 179, 55, 151, 84, 180)(61, 157, 87, 183, 75, 171, 88, 184)(63, 159, 89, 185, 74, 170, 90, 186)(64, 160, 91, 187, 73, 169, 92, 188)(65, 161, 93, 189, 71, 167, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 121)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 133)(20, 103)(21, 109)(22, 104)(23, 141)(24, 144)(25, 130)(26, 106)(27, 143)(28, 145)(29, 134)(30, 151)(31, 154)(32, 153)(33, 155)(34, 122)(35, 157)(36, 160)(37, 125)(38, 115)(39, 159)(40, 161)(41, 167)(42, 170)(43, 169)(44, 171)(45, 123)(46, 165)(47, 119)(48, 124)(49, 120)(50, 172)(51, 166)(52, 168)(53, 158)(54, 163)(55, 128)(56, 164)(57, 126)(58, 129)(59, 127)(60, 162)(61, 135)(62, 147)(63, 131)(64, 136)(65, 132)(66, 152)(67, 142)(68, 156)(69, 150)(70, 149)(71, 139)(72, 146)(73, 137)(74, 140)(75, 138)(76, 148)(77, 183)(78, 190)(79, 185)(80, 188)(81, 187)(82, 186)(83, 189)(84, 184)(85, 191)(86, 192)(87, 175)(88, 178)(89, 173)(90, 180)(91, 179)(92, 174)(93, 177)(94, 176)(95, 182)(96, 181)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1690
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1694 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1^-1 * T2^-2 * T1 * T2, T1^-1 * T2^-1 * T1^-1 * T2 * T1^-2 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2^-1 * T1 * T2 * T1^-2, (T2^-1 * T1 * T2^-1 * T1 * T2 * T1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 26, 122, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 14, 110, 25, 121)(11, 107, 27, 123, 15, 111, 28, 124)(18, 114, 40, 136, 21, 117, 41, 137)(20, 116, 42, 138, 22, 118, 43, 139)(23, 119, 45, 141, 33, 129, 46, 142)(29, 125, 56, 152, 31, 127, 57, 153)(30, 126, 58, 154, 32, 128, 59, 155)(34, 130, 62, 158, 37, 133, 63, 159)(36, 132, 64, 160, 38, 134, 65, 161)(39, 135, 67, 163, 44, 140, 68, 164)(47, 143, 79, 175, 49, 145, 80, 176)(48, 144, 81, 177, 50, 146, 82, 178)(51, 147, 83, 179, 53, 149, 84, 180)(52, 148, 85, 181, 54, 150, 86, 182)(55, 151, 78, 174, 60, 156, 77, 173)(61, 157, 87, 183, 66, 162, 88, 184)(69, 165, 89, 185, 71, 167, 90, 186)(70, 166, 91, 187, 72, 168, 92, 188)(73, 169, 93, 189, 75, 171, 94, 190)(74, 170, 95, 191, 76, 172, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 115)(11, 99)(12, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 133)(18, 135)(19, 131)(20, 103)(21, 140)(22, 104)(23, 107)(24, 143)(25, 145)(26, 106)(27, 147)(28, 149)(29, 151)(30, 108)(31, 156)(32, 109)(33, 111)(34, 157)(35, 122)(36, 112)(37, 162)(38, 113)(39, 116)(40, 165)(41, 167)(42, 169)(43, 171)(44, 118)(45, 173)(46, 174)(47, 161)(48, 120)(49, 160)(50, 121)(51, 159)(52, 123)(53, 158)(54, 124)(55, 126)(56, 172)(57, 170)(58, 168)(59, 166)(60, 128)(61, 132)(62, 150)(63, 148)(64, 146)(65, 144)(66, 134)(67, 142)(68, 141)(69, 155)(70, 136)(71, 154)(72, 137)(73, 153)(74, 138)(75, 152)(76, 139)(77, 183)(78, 184)(79, 185)(80, 186)(81, 189)(82, 190)(83, 187)(84, 188)(85, 191)(86, 192)(87, 164)(88, 163)(89, 182)(90, 181)(91, 178)(92, 177)(93, 180)(94, 179)(95, 176)(96, 175)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1691
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1695 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1, T2 * T1^-2 * T2^-1 * T1 * T2^-2 * T1^-1, T2^2 * T1 * T2 * T1^2 * T2^-1 * T1^-1, T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 31, 127, 13, 109)(6, 102, 16, 112, 41, 137, 17, 113)(9, 105, 24, 120, 40, 136, 25, 121)(11, 107, 28, 124, 42, 138, 29, 125)(14, 110, 36, 132, 43, 139, 37, 133)(15, 111, 38, 134, 44, 140, 39, 135)(18, 114, 46, 142, 30, 126, 47, 143)(20, 116, 50, 146, 32, 128, 51, 147)(21, 117, 53, 149, 33, 129, 54, 150)(22, 118, 55, 151, 34, 130, 56, 152)(23, 119, 57, 153, 35, 131, 49, 145)(26, 122, 45, 141, 70, 166, 52, 148)(27, 123, 62, 158, 79, 175, 63, 159)(48, 144, 68, 164, 88, 184, 69, 165)(58, 154, 80, 176, 64, 160, 81, 177)(59, 155, 82, 178, 65, 161, 83, 179)(60, 156, 84, 180, 66, 162, 85, 181)(61, 157, 86, 182, 67, 163, 87, 183)(71, 167, 89, 185, 75, 171, 90, 186)(72, 168, 91, 187, 76, 172, 92, 188)(73, 169, 93, 189, 77, 173, 94, 190)(74, 170, 95, 191, 78, 174, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 126)(13, 129)(14, 131)(15, 101)(16, 136)(17, 139)(18, 141)(19, 144)(20, 103)(21, 148)(22, 104)(23, 107)(24, 154)(25, 156)(26, 137)(27, 106)(28, 160)(29, 162)(30, 158)(31, 145)(32, 108)(33, 159)(34, 109)(35, 111)(36, 155)(37, 157)(38, 161)(39, 163)(40, 164)(41, 123)(42, 112)(43, 165)(44, 113)(45, 116)(46, 167)(47, 169)(48, 127)(49, 115)(50, 171)(51, 173)(52, 118)(53, 168)(54, 170)(55, 172)(56, 174)(57, 166)(58, 132)(59, 120)(60, 133)(61, 121)(62, 128)(63, 130)(64, 134)(65, 124)(66, 135)(67, 125)(68, 138)(69, 140)(70, 184)(71, 149)(72, 142)(73, 150)(74, 143)(75, 151)(76, 146)(77, 152)(78, 147)(79, 153)(80, 185)(81, 187)(82, 186)(83, 188)(84, 189)(85, 191)(86, 190)(87, 192)(88, 175)(89, 180)(90, 182)(91, 181)(92, 183)(93, 176)(94, 178)(95, 177)(96, 179)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1692
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1696 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 6})
Quotient :: loop
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T2^-1 * T1^-2 * T2 * T1^-2, T2^6, T2^-3 * T1 * T2^-3 * T1^-1, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1 * T2 * T1^-1 * T2^-1)^2, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 28, 124, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 45, 141, 24, 120, 8, 104)(4, 100, 12, 108, 32, 128, 61, 157, 33, 129, 13, 109)(6, 102, 17, 113, 40, 136, 68, 164, 41, 137, 18, 114)(9, 105, 25, 121, 55, 151, 38, 134, 58, 154, 26, 122)(11, 107, 30, 126, 64, 160, 39, 135, 65, 161, 31, 127)(14, 110, 34, 130, 60, 156, 27, 123, 59, 155, 35, 131)(15, 111, 36, 132, 63, 159, 29, 125, 62, 158, 37, 133)(19, 115, 42, 138, 69, 165, 53, 149, 72, 168, 43, 139)(21, 117, 47, 143, 77, 173, 54, 150, 78, 174, 48, 144)(22, 118, 49, 145, 74, 170, 44, 140, 73, 169, 50, 146)(23, 119, 51, 147, 76, 172, 46, 142, 75, 171, 52, 148)(56, 152, 83, 179, 66, 162, 81, 177, 93, 189, 84, 180)(57, 153, 85, 181, 67, 163, 82, 178, 94, 190, 86, 182)(70, 166, 89, 185, 79, 175, 87, 183, 95, 191, 90, 186)(71, 167, 91, 187, 80, 176, 88, 184, 96, 192, 92, 188)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 123)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 134)(17, 107)(18, 111)(19, 108)(20, 140)(21, 103)(22, 109)(23, 104)(24, 149)(25, 146)(26, 152)(27, 136)(28, 141)(29, 106)(30, 148)(31, 153)(32, 142)(33, 150)(34, 162)(35, 138)(36, 163)(37, 143)(38, 137)(39, 112)(40, 125)(41, 135)(42, 133)(43, 166)(44, 128)(45, 164)(46, 116)(47, 131)(48, 167)(49, 175)(50, 126)(51, 176)(52, 121)(53, 129)(54, 120)(55, 177)(56, 127)(57, 122)(58, 170)(59, 180)(60, 168)(61, 124)(62, 182)(63, 174)(64, 178)(65, 172)(66, 132)(67, 130)(68, 157)(69, 183)(70, 144)(71, 139)(72, 159)(73, 186)(74, 161)(75, 188)(76, 154)(77, 184)(78, 156)(79, 147)(80, 145)(81, 160)(82, 151)(83, 185)(84, 158)(85, 187)(86, 155)(87, 173)(88, 165)(89, 181)(90, 171)(91, 179)(92, 169)(93, 191)(94, 192)(95, 190)(96, 189)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1689
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1697 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y3)^2, Y1^4, (R * Y1)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y3^-1 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y3 * Y2^-1 * Y1^-2 * Y2 * Y1^-1 * Y2 * Y1^-2, Y3 * Y2 * Y1^-2 * Y2 * Y1^-1 * Y2^-1 * Y1^-2 * Y2, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-2 * Y2^-1, Y2 * Y1^-2 * Y2^-1 * Y3 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1, (Y3 * Y2)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 23, 119, 11, 107)(5, 101, 14, 110, 33, 129, 15, 111)(7, 103, 18, 114, 39, 135, 20, 116)(8, 104, 21, 117, 44, 140, 22, 118)(10, 106, 19, 115, 35, 131, 26, 122)(12, 108, 29, 125, 55, 151, 30, 126)(13, 109, 31, 127, 60, 156, 32, 128)(16, 112, 34, 130, 61, 157, 36, 132)(17, 113, 37, 133, 66, 162, 38, 134)(24, 120, 47, 143, 65, 161, 48, 144)(25, 121, 49, 145, 64, 160, 50, 146)(27, 123, 51, 147, 63, 159, 52, 148)(28, 124, 53, 149, 62, 158, 54, 150)(40, 136, 69, 165, 59, 155, 70, 166)(41, 137, 71, 167, 58, 154, 72, 168)(42, 138, 73, 169, 57, 153, 74, 170)(43, 139, 75, 171, 56, 152, 76, 172)(45, 141, 77, 173, 87, 183, 68, 164)(46, 142, 78, 174, 88, 184, 67, 163)(79, 175, 89, 185, 86, 182, 96, 192)(80, 176, 90, 186, 85, 181, 95, 191)(81, 177, 93, 189, 84, 180, 92, 188)(82, 178, 94, 190, 83, 179, 91, 187)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 218, 314, 205, 301)(198, 294, 208, 304, 227, 323, 209, 305)(201, 297, 216, 312, 206, 302, 217, 313)(203, 299, 219, 315, 207, 303, 220, 316)(210, 306, 232, 328, 213, 309, 233, 329)(212, 308, 234, 330, 214, 310, 235, 331)(215, 311, 237, 333, 225, 321, 238, 334)(221, 317, 248, 344, 223, 319, 249, 345)(222, 318, 250, 346, 224, 320, 251, 347)(226, 322, 254, 350, 229, 325, 255, 351)(228, 324, 256, 352, 230, 326, 257, 353)(231, 327, 259, 355, 236, 332, 260, 356)(239, 335, 271, 367, 241, 337, 272, 368)(240, 336, 273, 369, 242, 338, 274, 370)(243, 339, 275, 371, 245, 341, 276, 372)(244, 340, 277, 373, 246, 342, 278, 374)(247, 343, 270, 366, 252, 348, 269, 365)(253, 349, 279, 375, 258, 354, 280, 376)(261, 357, 281, 377, 263, 359, 282, 378)(262, 358, 283, 379, 264, 360, 284, 380)(265, 361, 285, 381, 267, 363, 286, 382)(266, 362, 287, 383, 268, 364, 288, 384)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 218)(11, 215)(12, 222)(13, 224)(14, 197)(15, 225)(16, 228)(17, 230)(18, 199)(19, 202)(20, 231)(21, 200)(22, 236)(23, 201)(24, 240)(25, 242)(26, 227)(27, 244)(28, 246)(29, 204)(30, 247)(31, 205)(32, 252)(33, 206)(34, 208)(35, 211)(36, 253)(37, 209)(38, 258)(39, 210)(40, 262)(41, 264)(42, 266)(43, 268)(44, 213)(45, 260)(46, 259)(47, 216)(48, 257)(49, 217)(50, 256)(51, 219)(52, 255)(53, 220)(54, 254)(55, 221)(56, 267)(57, 265)(58, 263)(59, 261)(60, 223)(61, 226)(62, 245)(63, 243)(64, 241)(65, 239)(66, 229)(67, 280)(68, 279)(69, 232)(70, 251)(71, 233)(72, 250)(73, 234)(74, 249)(75, 235)(76, 248)(77, 237)(78, 238)(79, 288)(80, 287)(81, 284)(82, 283)(83, 286)(84, 285)(85, 282)(86, 281)(87, 269)(88, 270)(89, 271)(90, 272)(91, 275)(92, 276)(93, 273)(94, 274)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1704
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1698 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2^6, Y2^-1 * Y1 * Y2^-3 * Y1^-1 * Y2^-2, (Y3^-1 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1)^2, (Y2 * Y1 * Y2^-2 * Y1^-1)^2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 40, 136, 29, 125)(16, 112, 38, 134, 41, 137, 39, 135)(20, 116, 44, 140, 32, 128, 46, 142)(24, 120, 53, 149, 33, 129, 54, 150)(25, 121, 50, 146, 30, 126, 52, 148)(26, 122, 56, 152, 31, 127, 57, 153)(28, 124, 45, 141, 68, 164, 61, 157)(34, 130, 66, 162, 36, 132, 67, 163)(35, 131, 42, 138, 37, 133, 47, 143)(43, 139, 70, 166, 48, 144, 71, 167)(49, 145, 79, 175, 51, 147, 80, 176)(55, 151, 81, 177, 64, 160, 82, 178)(58, 154, 74, 170, 65, 161, 76, 172)(59, 155, 84, 180, 62, 158, 86, 182)(60, 156, 72, 168, 63, 159, 78, 174)(69, 165, 87, 183, 77, 173, 88, 184)(73, 169, 90, 186, 75, 171, 92, 188)(83, 179, 89, 185, 85, 181, 91, 187)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 237, 333, 216, 312, 200, 296)(196, 292, 204, 300, 224, 320, 253, 349, 225, 321, 205, 301)(198, 294, 209, 305, 232, 328, 260, 356, 233, 329, 210, 306)(201, 297, 217, 313, 247, 343, 230, 326, 250, 346, 218, 314)(203, 299, 222, 318, 256, 352, 231, 327, 257, 353, 223, 319)(206, 302, 226, 322, 252, 348, 219, 315, 251, 347, 227, 323)(207, 303, 228, 324, 255, 351, 221, 317, 254, 350, 229, 325)(211, 307, 234, 330, 261, 357, 245, 341, 264, 360, 235, 331)(213, 309, 239, 335, 269, 365, 246, 342, 270, 366, 240, 336)(214, 310, 241, 337, 266, 362, 236, 332, 265, 361, 242, 338)(215, 311, 243, 339, 268, 364, 238, 334, 267, 363, 244, 340)(248, 344, 275, 371, 258, 354, 273, 369, 285, 381, 276, 372)(249, 345, 277, 373, 259, 355, 274, 370, 286, 382, 278, 374)(262, 358, 281, 377, 271, 367, 279, 375, 287, 383, 282, 378)(263, 359, 283, 379, 272, 368, 280, 376, 288, 384, 284, 380)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 232)(18, 198)(19, 234)(20, 237)(21, 239)(22, 241)(23, 243)(24, 200)(25, 247)(26, 201)(27, 251)(28, 208)(29, 254)(30, 256)(31, 203)(32, 253)(33, 205)(34, 252)(35, 206)(36, 255)(37, 207)(38, 250)(39, 257)(40, 260)(41, 210)(42, 261)(43, 211)(44, 265)(45, 216)(46, 267)(47, 269)(48, 213)(49, 266)(50, 214)(51, 268)(52, 215)(53, 264)(54, 270)(55, 230)(56, 275)(57, 277)(58, 218)(59, 227)(60, 219)(61, 225)(62, 229)(63, 221)(64, 231)(65, 223)(66, 273)(67, 274)(68, 233)(69, 245)(70, 281)(71, 283)(72, 235)(73, 242)(74, 236)(75, 244)(76, 238)(77, 246)(78, 240)(79, 279)(80, 280)(81, 285)(82, 286)(83, 258)(84, 248)(85, 259)(86, 249)(87, 287)(88, 288)(89, 271)(90, 262)(91, 272)(92, 263)(93, 276)(94, 278)(95, 282)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1703
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1699 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, Y1^4, Y1^4, (R * Y3)^2, (R * Y1)^2, Y2^6, Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2 * Y1, Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^2 * Y1^-2 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^2, (Y3^-1 * Y1^-1)^4, Y2 * Y1^-1 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 52, 148, 21, 117)(8, 104, 22, 118, 60, 156, 23, 119)(10, 106, 28, 124, 61, 157, 30, 126)(12, 108, 33, 129, 77, 173, 35, 131)(13, 109, 36, 132, 71, 167, 37, 133)(16, 112, 44, 140, 79, 175, 45, 141)(17, 113, 46, 142, 80, 176, 48, 144)(18, 114, 49, 145, 85, 181, 50, 146)(20, 116, 55, 151, 86, 182, 57, 153)(24, 120, 65, 161, 32, 128, 66, 162)(26, 122, 53, 149, 43, 139, 64, 160)(27, 123, 47, 143, 81, 177, 69, 165)(29, 125, 56, 152, 82, 178, 73, 169)(31, 127, 75, 171, 83, 179, 62, 158)(34, 130, 78, 174, 40, 136, 54, 150)(38, 134, 63, 159, 84, 180, 67, 163)(41, 137, 68, 164, 87, 183, 58, 154)(42, 138, 59, 155, 88, 184, 51, 147)(70, 166, 89, 185, 74, 170, 91, 187)(72, 168, 93, 189, 95, 191, 92, 188)(76, 172, 94, 190, 96, 192, 90, 186)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 248, 344, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 265, 361, 230, 326, 205, 301)(198, 294, 209, 305, 239, 335, 274, 370, 243, 339, 210, 306)(201, 297, 218, 314, 242, 338, 236, 332, 262, 358, 219, 315)(203, 299, 223, 319, 244, 340, 237, 333, 268, 364, 224, 320)(206, 302, 232, 328, 264, 360, 220, 316, 263, 359, 233, 329)(207, 303, 234, 330, 266, 362, 222, 318, 238, 334, 235, 331)(211, 307, 245, 341, 229, 325, 257, 353, 281, 377, 246, 342)(213, 309, 250, 346, 272, 368, 258, 354, 284, 380, 251, 347)(214, 310, 253, 349, 282, 378, 247, 343, 231, 327, 254, 350)(215, 311, 255, 351, 283, 379, 249, 345, 225, 321, 256, 352)(217, 313, 259, 355, 285, 381, 271, 367, 227, 323, 260, 356)(228, 324, 261, 357, 286, 382, 270, 366, 277, 373, 267, 363)(240, 336, 275, 371, 269, 365, 280, 376, 288, 384, 276, 372)(241, 337, 278, 374, 287, 383, 273, 369, 252, 348, 279, 375)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 239)(18, 198)(19, 245)(20, 248)(21, 250)(22, 253)(23, 255)(24, 200)(25, 259)(26, 242)(27, 201)(28, 263)(29, 208)(30, 238)(31, 244)(32, 203)(33, 256)(34, 265)(35, 260)(36, 261)(37, 257)(38, 205)(39, 254)(40, 264)(41, 206)(42, 266)(43, 207)(44, 262)(45, 268)(46, 235)(47, 274)(48, 275)(49, 278)(50, 236)(51, 210)(52, 237)(53, 229)(54, 211)(55, 231)(56, 216)(57, 225)(58, 272)(59, 213)(60, 279)(61, 282)(62, 214)(63, 283)(64, 215)(65, 281)(66, 284)(67, 285)(68, 217)(69, 286)(70, 219)(71, 233)(72, 220)(73, 230)(74, 222)(75, 228)(76, 224)(77, 280)(78, 277)(79, 227)(80, 258)(81, 252)(82, 243)(83, 269)(84, 240)(85, 267)(86, 287)(87, 241)(88, 288)(89, 246)(90, 247)(91, 249)(92, 251)(93, 271)(94, 270)(95, 273)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 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 E17.1701
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1700 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, Y1^4, (R * Y1)^2, Y2^6, Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^2, Y2 * Y1^2 * Y2 * Y1^-1 * Y2^2 * Y1^-1, Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y2^-2 * Y1^-1, Y2^3 * Y1 * Y2^3 * Y1^-1, (Y2^-1 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4, (Y2 * Y1^-1 * Y2^-1 * Y1 * Y2)^2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 39, 135, 15, 111)(7, 103, 19, 115, 52, 148, 21, 117)(8, 104, 22, 118, 60, 156, 23, 119)(10, 106, 28, 124, 71, 167, 30, 126)(12, 108, 33, 129, 68, 164, 35, 131)(13, 109, 36, 132, 79, 175, 37, 133)(16, 112, 44, 140, 54, 150, 45, 141)(17, 113, 46, 142, 80, 176, 48, 144)(18, 114, 49, 145, 85, 181, 50, 146)(20, 116, 55, 151, 42, 138, 57, 153)(24, 120, 65, 161, 82, 178, 66, 162)(26, 122, 67, 163, 81, 177, 64, 160)(27, 123, 61, 157, 38, 134, 69, 165)(29, 125, 56, 152, 83, 179, 73, 169)(31, 127, 58, 154, 41, 137, 62, 158)(32, 128, 63, 159, 84, 180, 47, 143)(34, 130, 59, 155, 86, 182, 78, 174)(40, 136, 51, 147, 88, 184, 77, 173)(43, 139, 76, 172, 87, 183, 53, 149)(70, 166, 94, 190, 95, 191, 91, 187)(72, 168, 90, 186, 75, 171, 92, 188)(74, 170, 93, 189, 96, 192, 89, 185)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 248, 344, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 265, 361, 230, 326, 205, 301)(198, 294, 209, 305, 239, 335, 275, 371, 243, 339, 210, 306)(201, 297, 218, 314, 260, 356, 236, 332, 262, 358, 219, 315)(203, 299, 223, 319, 241, 337, 237, 333, 267, 363, 224, 320)(206, 302, 232, 328, 264, 360, 220, 316, 240, 336, 233, 329)(207, 303, 234, 330, 266, 362, 222, 318, 252, 348, 235, 331)(211, 307, 245, 341, 217, 313, 257, 353, 281, 377, 246, 342)(213, 309, 250, 346, 228, 324, 258, 354, 284, 380, 251, 347)(214, 310, 253, 349, 282, 378, 247, 343, 227, 323, 254, 350)(215, 311, 255, 351, 283, 379, 249, 345, 277, 373, 256, 352)(225, 321, 268, 364, 272, 368, 261, 357, 285, 381, 269, 365)(229, 325, 263, 359, 286, 382, 270, 366, 231, 327, 259, 355)(238, 334, 273, 369, 244, 340, 280, 376, 287, 383, 274, 370)(242, 338, 278, 374, 288, 384, 276, 372, 271, 367, 279, 375)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 239)(18, 198)(19, 245)(20, 248)(21, 250)(22, 253)(23, 255)(24, 200)(25, 257)(26, 260)(27, 201)(28, 240)(29, 208)(30, 252)(31, 241)(32, 203)(33, 268)(34, 265)(35, 254)(36, 258)(37, 263)(38, 205)(39, 259)(40, 264)(41, 206)(42, 266)(43, 207)(44, 262)(45, 267)(46, 273)(47, 275)(48, 233)(49, 237)(50, 278)(51, 210)(52, 280)(53, 217)(54, 211)(55, 227)(56, 216)(57, 277)(58, 228)(59, 213)(60, 235)(61, 282)(62, 214)(63, 283)(64, 215)(65, 281)(66, 284)(67, 229)(68, 236)(69, 285)(70, 219)(71, 286)(72, 220)(73, 230)(74, 222)(75, 224)(76, 272)(77, 225)(78, 231)(79, 279)(80, 261)(81, 244)(82, 238)(83, 243)(84, 271)(85, 256)(86, 288)(87, 242)(88, 287)(89, 246)(90, 247)(91, 249)(92, 251)(93, 269)(94, 270)(95, 274)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 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 E17.1702
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1701 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^6, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^3 * Y2 * Y3^-3 * Y2^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 209, 305, 203, 299)(197, 293, 206, 302, 210, 306, 207, 303)(199, 295, 211, 307, 204, 300, 213, 309)(200, 296, 214, 310, 205, 301, 215, 311)(202, 298, 219, 315, 232, 328, 221, 317)(208, 304, 230, 326, 233, 329, 231, 327)(212, 308, 236, 332, 224, 320, 238, 334)(216, 312, 245, 341, 225, 321, 246, 342)(217, 313, 242, 338, 222, 318, 244, 340)(218, 314, 248, 344, 223, 319, 249, 345)(220, 316, 237, 333, 260, 356, 253, 349)(226, 322, 258, 354, 228, 324, 259, 355)(227, 323, 234, 330, 229, 325, 239, 335)(235, 331, 262, 358, 240, 336, 263, 359)(241, 337, 271, 367, 243, 339, 272, 368)(247, 343, 273, 369, 256, 352, 274, 370)(250, 346, 266, 362, 257, 353, 268, 364)(251, 347, 276, 372, 254, 350, 278, 374)(252, 348, 264, 360, 255, 351, 270, 366)(261, 357, 279, 375, 269, 365, 280, 376)(265, 361, 282, 378, 267, 363, 284, 380)(275, 371, 281, 377, 277, 373, 283, 379)(285, 381, 287, 383, 286, 382, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 232)(18, 198)(19, 234)(20, 237)(21, 239)(22, 241)(23, 243)(24, 200)(25, 247)(26, 201)(27, 251)(28, 208)(29, 254)(30, 256)(31, 203)(32, 253)(33, 205)(34, 252)(35, 206)(36, 255)(37, 207)(38, 250)(39, 257)(40, 260)(41, 210)(42, 261)(43, 211)(44, 265)(45, 216)(46, 267)(47, 269)(48, 213)(49, 266)(50, 214)(51, 268)(52, 215)(53, 264)(54, 270)(55, 230)(56, 275)(57, 277)(58, 218)(59, 227)(60, 219)(61, 225)(62, 229)(63, 221)(64, 231)(65, 223)(66, 273)(67, 274)(68, 233)(69, 245)(70, 281)(71, 283)(72, 235)(73, 242)(74, 236)(75, 244)(76, 238)(77, 246)(78, 240)(79, 279)(80, 280)(81, 285)(82, 286)(83, 258)(84, 248)(85, 259)(86, 249)(87, 287)(88, 288)(89, 271)(90, 262)(91, 272)(92, 263)(93, 276)(94, 278)(95, 282)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1699
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1702 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3 * Y2, (Y3^-1 * Y2^-1)^4, Y3^3 * Y2 * Y3^3 * Y2^-1, (Y3 * Y2 * Y3 * Y2^-1)^2, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2^2, (Y3 * Y2^-1)^4, (Y3^-2 * Y2 * Y3 * Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 217, 313, 203, 299)(197, 293, 206, 302, 231, 327, 207, 303)(199, 295, 211, 307, 244, 340, 213, 309)(200, 296, 214, 310, 252, 348, 215, 311)(202, 298, 220, 316, 253, 349, 222, 318)(204, 300, 225, 321, 269, 365, 227, 323)(205, 301, 228, 324, 263, 359, 229, 325)(208, 304, 236, 332, 271, 367, 237, 333)(209, 305, 238, 334, 272, 368, 240, 336)(210, 306, 241, 337, 277, 373, 242, 338)(212, 308, 247, 343, 278, 374, 249, 345)(216, 312, 257, 353, 224, 320, 258, 354)(218, 314, 245, 341, 235, 331, 256, 352)(219, 315, 239, 335, 273, 369, 261, 357)(221, 317, 248, 344, 274, 370, 265, 361)(223, 319, 267, 363, 275, 371, 254, 350)(226, 322, 270, 366, 232, 328, 246, 342)(230, 326, 255, 351, 276, 372, 259, 355)(233, 329, 260, 356, 279, 375, 250, 346)(234, 330, 251, 347, 280, 376, 243, 339)(262, 358, 281, 377, 266, 362, 283, 379)(264, 360, 285, 381, 287, 383, 284, 380)(268, 364, 286, 382, 288, 384, 282, 378)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 239)(18, 198)(19, 245)(20, 248)(21, 250)(22, 253)(23, 255)(24, 200)(25, 259)(26, 242)(27, 201)(28, 263)(29, 208)(30, 238)(31, 244)(32, 203)(33, 256)(34, 265)(35, 260)(36, 261)(37, 257)(38, 205)(39, 254)(40, 264)(41, 206)(42, 266)(43, 207)(44, 262)(45, 268)(46, 235)(47, 274)(48, 275)(49, 278)(50, 236)(51, 210)(52, 237)(53, 229)(54, 211)(55, 231)(56, 216)(57, 225)(58, 272)(59, 213)(60, 279)(61, 282)(62, 214)(63, 283)(64, 215)(65, 281)(66, 284)(67, 285)(68, 217)(69, 286)(70, 219)(71, 233)(72, 220)(73, 230)(74, 222)(75, 228)(76, 224)(77, 280)(78, 277)(79, 227)(80, 258)(81, 252)(82, 243)(83, 269)(84, 240)(85, 267)(86, 287)(87, 241)(88, 288)(89, 246)(90, 247)(91, 249)(92, 251)(93, 271)(94, 270)(95, 273)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1700
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1703 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y3 * Y2^-2 * Y3 * Y2^-1 * Y3^2 * Y2^-1, Y3 * Y2 * Y3^3 * Y2^-1 * Y3^2, (Y3 * Y2^-1)^4, (Y3 * Y2 * Y3 * Y2^-1)^2, (Y2^-1 * Y3^-1)^4, (Y3 * Y2 * Y3^-2 * Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 217, 313, 203, 299)(197, 293, 206, 302, 231, 327, 207, 303)(199, 295, 211, 307, 244, 340, 213, 309)(200, 296, 214, 310, 252, 348, 215, 311)(202, 298, 220, 316, 263, 359, 222, 318)(204, 300, 225, 321, 260, 356, 227, 323)(205, 301, 228, 324, 271, 367, 229, 325)(208, 304, 236, 332, 246, 342, 237, 333)(209, 305, 238, 334, 272, 368, 240, 336)(210, 306, 241, 337, 277, 373, 242, 338)(212, 308, 247, 343, 234, 330, 249, 345)(216, 312, 257, 353, 274, 370, 258, 354)(218, 314, 259, 355, 273, 369, 256, 352)(219, 315, 253, 349, 230, 326, 261, 357)(221, 317, 248, 344, 275, 371, 265, 361)(223, 319, 250, 346, 233, 329, 254, 350)(224, 320, 255, 351, 276, 372, 239, 335)(226, 322, 251, 347, 278, 374, 270, 366)(232, 328, 243, 339, 280, 376, 269, 365)(235, 331, 268, 364, 279, 375, 245, 341)(262, 358, 286, 382, 287, 383, 283, 379)(264, 360, 282, 378, 267, 363, 284, 380)(266, 362, 285, 381, 288, 384, 281, 377)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 232)(15, 234)(16, 197)(17, 239)(18, 198)(19, 245)(20, 248)(21, 250)(22, 253)(23, 255)(24, 200)(25, 257)(26, 260)(27, 201)(28, 240)(29, 208)(30, 252)(31, 241)(32, 203)(33, 268)(34, 265)(35, 254)(36, 258)(37, 263)(38, 205)(39, 259)(40, 264)(41, 206)(42, 266)(43, 207)(44, 262)(45, 267)(46, 273)(47, 275)(48, 233)(49, 237)(50, 278)(51, 210)(52, 280)(53, 217)(54, 211)(55, 227)(56, 216)(57, 277)(58, 228)(59, 213)(60, 235)(61, 282)(62, 214)(63, 283)(64, 215)(65, 281)(66, 284)(67, 229)(68, 236)(69, 285)(70, 219)(71, 286)(72, 220)(73, 230)(74, 222)(75, 224)(76, 272)(77, 225)(78, 231)(79, 279)(80, 261)(81, 244)(82, 238)(83, 243)(84, 271)(85, 256)(86, 288)(87, 242)(88, 287)(89, 246)(90, 247)(91, 249)(92, 251)(93, 269)(94, 270)(95, 274)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1698
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1704 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 6})
Quotient :: dipole
Aut^+ = C2 x (A4 : C4) (small group id <96, 194>)
Aut   = $<192, 1488>$ (small group id <192, 1488>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1^6, (Y1^-1 * Y3^-1)^4, Y1^-1 * Y3 * Y1^-3 * Y3^-1 * Y1^-2, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1 * Y3^-1 * Y1^-2)^2 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 40, 136, 30, 126, 11, 107)(5, 101, 15, 111, 38, 134, 41, 137, 39, 135, 16, 112)(7, 103, 20, 116, 47, 143, 34, 130, 51, 147, 22, 118)(8, 104, 23, 119, 53, 149, 35, 131, 54, 150, 24, 120)(10, 106, 21, 117, 43, 139, 68, 164, 61, 157, 28, 124)(12, 108, 32, 128, 44, 140, 18, 114, 42, 138, 33, 129)(14, 110, 36, 132, 46, 142, 19, 115, 45, 141, 37, 133)(26, 122, 57, 153, 81, 177, 63, 159, 71, 167, 58, 154)(27, 123, 59, 155, 84, 180, 64, 160, 72, 168, 60, 156)(29, 125, 62, 158, 78, 174, 55, 151, 75, 171, 48, 144)(31, 127, 65, 161, 79, 175, 56, 152, 76, 172, 49, 145)(50, 146, 77, 173, 66, 162, 73, 169, 87, 183, 69, 165)(52, 148, 80, 176, 67, 163, 74, 170, 88, 184, 70, 166)(82, 178, 91, 187, 85, 181, 93, 189, 95, 191, 89, 185)(83, 179, 92, 188, 86, 182, 94, 190, 96, 192, 90, 186)(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, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 221)(12, 220)(13, 226)(14, 196)(15, 219)(16, 223)(17, 232)(18, 235)(19, 198)(20, 240)(21, 200)(22, 242)(23, 241)(24, 244)(25, 247)(26, 207)(27, 201)(28, 206)(29, 208)(30, 255)(31, 203)(32, 258)(33, 249)(34, 253)(35, 205)(36, 259)(37, 251)(38, 248)(39, 256)(40, 260)(41, 209)(42, 261)(43, 211)(44, 263)(45, 262)(46, 264)(47, 265)(48, 215)(49, 212)(50, 216)(51, 270)(52, 214)(53, 266)(54, 271)(55, 230)(56, 217)(57, 229)(58, 274)(59, 225)(60, 275)(61, 227)(62, 277)(63, 231)(64, 222)(65, 278)(66, 228)(67, 224)(68, 233)(69, 237)(70, 234)(71, 238)(72, 236)(73, 245)(74, 239)(75, 281)(76, 282)(77, 283)(78, 246)(79, 243)(80, 284)(81, 285)(82, 252)(83, 250)(84, 286)(85, 257)(86, 254)(87, 287)(88, 288)(89, 268)(90, 267)(91, 272)(92, 269)(93, 276)(94, 273)(95, 280)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1697
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1705 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2 * T1 * T2^-2 * T1^-1)^2, (T2^-2 * T1 * T2 * T1^-1)^2, T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 29, 13)(6, 16, 34, 17)(9, 23, 46, 24)(11, 27, 54, 28)(14, 30, 56, 31)(15, 32, 60, 33)(18, 35, 62, 36)(20, 39, 70, 40)(21, 41, 72, 42)(22, 43, 76, 44)(25, 50, 85, 51)(26, 52, 86, 53)(37, 66, 95, 67)(38, 68, 96, 69)(45, 77, 58, 78)(47, 79, 59, 80)(48, 81, 55, 82)(49, 83, 57, 84)(61, 87, 74, 88)(63, 89, 75, 90)(64, 91, 71, 92)(65, 93, 73, 94)(97, 98, 102, 100)(99, 105, 112, 107)(101, 110, 113, 111)(103, 114, 108, 116)(104, 117, 109, 118)(106, 121, 130, 122)(115, 133, 125, 134)(119, 141, 123, 143)(120, 144, 124, 145)(126, 151, 128, 153)(127, 154, 129, 155)(131, 157, 135, 159)(132, 160, 136, 161)(137, 167, 139, 169)(138, 170, 140, 171)(142, 163, 150, 165)(146, 168, 148, 172)(147, 158, 149, 166)(152, 162, 156, 164)(173, 185, 175, 183)(174, 190, 176, 188)(177, 189, 179, 187)(178, 186, 180, 184)(181, 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) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1715
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1706 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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 * T1)^2, (F * T2)^2, T1^4, T2^4, (T2^-1 * T1^-1 * T2^-1)^2, (T2 * T1^-1 * T2)^2, T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1 * T2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 15, 25)(11, 27, 14, 28)(18, 40, 22, 41)(20, 42, 21, 43)(23, 45, 33, 46)(29, 56, 32, 57)(30, 58, 31, 59)(34, 62, 38, 63)(36, 64, 37, 65)(39, 67, 44, 68)(47, 79, 50, 80)(48, 81, 49, 82)(51, 83, 54, 84)(52, 85, 53, 86)(55, 77, 60, 78)(61, 87, 66, 88)(69, 89, 72, 90)(70, 91, 71, 92)(73, 93, 76, 94)(74, 95, 75, 96)(97, 98, 102, 100)(99, 105, 119, 107)(101, 110, 129, 111)(103, 114, 135, 116)(104, 117, 140, 118)(106, 122, 131, 115)(108, 125, 151, 126)(109, 127, 156, 128)(112, 130, 157, 132)(113, 133, 162, 134)(120, 143, 160, 144)(121, 145, 161, 146)(123, 147, 158, 148)(124, 149, 159, 150)(136, 165, 154, 166)(137, 167, 155, 168)(138, 169, 152, 170)(139, 171, 153, 172)(141, 163, 183, 173)(142, 174, 184, 164)(175, 190, 181, 188)(176, 187, 182, 189)(177, 186, 179, 192)(178, 191, 180, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1716
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1707 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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^-2 * T2 * T1^-2, T2^6, (T2^-3 * T1^-1)^2, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1 * T2 * T1^-1 * T2^-1)^2, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 28, 16, 5)(2, 7, 20, 45, 24, 8)(4, 12, 32, 61, 33, 13)(6, 17, 40, 68, 41, 18)(9, 25, 55, 39, 58, 26)(11, 30, 64, 38, 65, 31)(14, 34, 63, 29, 62, 35)(15, 36, 60, 27, 59, 37)(19, 42, 69, 54, 72, 43)(21, 47, 77, 53, 78, 48)(22, 49, 76, 46, 75, 50)(23, 51, 74, 44, 73, 52)(56, 83, 66, 82, 94, 84)(57, 85, 67, 81, 93, 86)(70, 89, 79, 88, 96, 90)(71, 91, 80, 87, 95, 92)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 123, 136, 125)(112, 134, 137, 135)(116, 140, 128, 142)(120, 149, 129, 150)(121, 146, 126, 148)(122, 152, 127, 153)(124, 157, 164, 141)(130, 162, 132, 163)(131, 138, 133, 143)(139, 166, 144, 167)(145, 175, 147, 176)(151, 177, 160, 178)(154, 170, 161, 172)(155, 180, 158, 182)(156, 168, 159, 174)(165, 183, 173, 184)(169, 186, 171, 188)(179, 187, 181, 185)(189, 191, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1711
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1708 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, (T1 * T2^-2)^2, T2^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, (T2^-1 * T1^-1)^4, T1 * T2 * T1 * T2^-3 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 53, 24, 8)(4, 12, 33, 74, 37, 13)(6, 17, 44, 80, 48, 18)(9, 26, 47, 85, 64, 27)(11, 30, 14, 39, 70, 31)(15, 40, 67, 78, 43, 41)(19, 50, 36, 69, 88, 51)(21, 54, 22, 57, 91, 55)(23, 58, 90, 72, 32, 59)(25, 61, 93, 73, 83, 62)(28, 65, 87, 49, 42, 66)(34, 68, 35, 63, 94, 75)(38, 76, 77, 60, 89, 52)(45, 81, 46, 84, 96, 82)(56, 92, 71, 86, 95, 79)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 134, 111)(103, 115, 145, 117)(104, 118, 152, 119)(106, 124, 156, 120)(108, 128, 167, 130)(109, 131, 161, 132)(112, 129, 169, 138)(113, 139, 173, 141)(114, 142, 179, 143)(116, 148, 182, 144)(122, 146, 137, 155)(123, 154, 178, 159)(125, 163, 176, 160)(126, 164, 177, 150)(127, 153, 174, 165)(133, 140, 175, 157)(135, 147, 181, 171)(136, 151, 180, 168)(149, 186, 170, 184)(158, 188, 172, 183)(162, 190, 191, 187)(166, 189, 192, 185)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1712
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1709 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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 * T1 * T2)^2, T2^6, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, (T2^-1 * T1)^4, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 29, 16, 5)(2, 7, 20, 52, 24, 8)(4, 12, 34, 66, 28, 13)(6, 17, 44, 80, 48, 18)(9, 26, 15, 41, 64, 27)(11, 31, 46, 84, 67, 32)(14, 39, 68, 82, 45, 40)(19, 50, 23, 59, 88, 51)(21, 54, 36, 70, 89, 55)(22, 57, 90, 74, 35, 58)(25, 60, 91, 53, 83, 61)(30, 56, 92, 71, 42, 69)(33, 62, 37, 63, 93, 72)(38, 76, 77, 65, 94, 73)(43, 78, 47, 85, 95, 79)(49, 86, 96, 81, 75, 87)(97, 98, 102, 100)(99, 105, 121, 107)(101, 110, 134, 111)(103, 115, 145, 117)(104, 118, 152, 119)(106, 124, 161, 126)(108, 129, 167, 131)(109, 132, 171, 133)(112, 138, 149, 116)(113, 139, 173, 141)(114, 142, 179, 143)(120, 156, 177, 140)(122, 158, 174, 146)(123, 153, 178, 159)(125, 163, 176, 164)(127, 150, 136, 154)(128, 155, 175, 166)(130, 144, 182, 169)(135, 151, 181, 168)(137, 147, 180, 170)(148, 185, 162, 186)(157, 188, 172, 183)(160, 190, 191, 187)(165, 189, 192, 184)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1713
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1710 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 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, (T1^-1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^6, (T2^-1 * T1^-1)^4, (T2^2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1 * T2^-3 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 18, 39, 20, 8)(4, 11, 26, 53, 28, 12)(6, 15, 33, 63, 35, 16)(9, 21, 44, 68, 46, 22)(13, 29, 57, 83, 58, 30)(17, 36, 67, 88, 69, 37)(19, 40, 74, 56, 75, 41)(23, 47, 80, 94, 66, 48)(25, 50, 79, 45, 78, 51)(27, 54, 84, 91, 77, 43)(31, 49, 62, 90, 86, 59)(32, 60, 87, 81, 89, 61)(34, 64, 92, 73, 93, 65)(38, 70, 95, 85, 55, 71)(42, 72, 52, 82, 96, 76)(97, 98, 102, 100)(99, 105, 115, 104)(101, 107, 121, 109)(103, 113, 130, 112)(106, 119, 141, 118)(108, 111, 128, 123)(110, 125, 152, 127)(114, 134, 164, 133)(116, 136, 169, 138)(117, 139, 156, 137)(120, 145, 159, 144)(122, 148, 177, 147)(124, 150, 179, 151)(126, 146, 161, 132)(129, 158, 184, 157)(131, 160, 187, 162)(135, 168, 149, 167)(140, 166, 190, 173)(142, 174, 185, 165)(143, 172, 189, 175)(153, 180, 188, 170)(154, 163, 186, 181)(155, 171, 183, 178)(176, 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) :: { ( 8^4 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1714
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 4^24, 6^16 ]

E17.1711 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T1^4, (F * T1)^2, T2^4, (F * T2)^2, T1^-1 * T2^-1 * T1^2 * T2 * T1^-1, (T2 * T1 * T2^-2 * T1^-1)^2, (T2^-2 * T1 * T2 * T1^-1)^2, T2^-2 * T1 * T2^-1 * T1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^6, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 34, 130, 17, 113)(9, 105, 23, 119, 46, 142, 24, 120)(11, 107, 27, 123, 54, 150, 28, 124)(14, 110, 30, 126, 56, 152, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 62, 158, 36, 132)(20, 116, 39, 135, 70, 166, 40, 136)(21, 117, 41, 137, 72, 168, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(25, 121, 50, 146, 85, 181, 51, 147)(26, 122, 52, 148, 86, 182, 53, 149)(37, 133, 66, 162, 95, 191, 67, 163)(38, 134, 68, 164, 96, 192, 69, 165)(45, 141, 77, 173, 58, 154, 78, 174)(47, 143, 79, 175, 59, 155, 80, 176)(48, 144, 81, 177, 55, 151, 82, 178)(49, 145, 83, 179, 57, 153, 84, 180)(61, 157, 87, 183, 74, 170, 88, 184)(63, 159, 89, 185, 75, 171, 90, 186)(64, 160, 91, 187, 71, 167, 92, 188)(65, 161, 93, 189, 73, 169, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 112)(10, 121)(11, 99)(12, 116)(13, 118)(14, 113)(15, 101)(16, 107)(17, 111)(18, 108)(19, 133)(20, 103)(21, 109)(22, 104)(23, 141)(24, 144)(25, 130)(26, 106)(27, 143)(28, 145)(29, 134)(30, 151)(31, 154)(32, 153)(33, 155)(34, 122)(35, 157)(36, 160)(37, 125)(38, 115)(39, 159)(40, 161)(41, 167)(42, 170)(43, 169)(44, 171)(45, 123)(46, 163)(47, 119)(48, 124)(49, 120)(50, 168)(51, 158)(52, 172)(53, 166)(54, 165)(55, 128)(56, 162)(57, 126)(58, 129)(59, 127)(60, 164)(61, 135)(62, 149)(63, 131)(64, 136)(65, 132)(66, 156)(67, 150)(68, 152)(69, 142)(70, 147)(71, 139)(72, 148)(73, 137)(74, 140)(75, 138)(76, 146)(77, 185)(78, 190)(79, 183)(80, 188)(81, 189)(82, 186)(83, 187)(84, 184)(85, 191)(86, 192)(87, 173)(88, 178)(89, 175)(90, 180)(91, 177)(92, 174)(93, 179)(94, 176)(95, 182)(96, 181)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1707
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1712 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-1 * T1^-1 * T2^-2 * T1 * T2^-1, (T2^-1 * T1 * T2^-1 * T1^-2)^2, (T2^-1 * T1^-1 * T2^-1 * T1^-2)^2, (T2 * T1^-1)^6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 26, 122, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 14, 110, 25, 121)(11, 107, 27, 123, 15, 111, 28, 124)(18, 114, 40, 136, 21, 117, 41, 137)(20, 116, 42, 138, 22, 118, 43, 139)(23, 119, 45, 141, 33, 129, 46, 142)(29, 125, 56, 152, 31, 127, 57, 153)(30, 126, 58, 154, 32, 128, 59, 155)(34, 130, 62, 158, 37, 133, 63, 159)(36, 132, 64, 160, 38, 134, 65, 161)(39, 135, 67, 163, 44, 140, 68, 164)(47, 143, 79, 175, 49, 145, 80, 176)(48, 144, 81, 177, 50, 146, 82, 178)(51, 147, 83, 179, 53, 149, 84, 180)(52, 148, 85, 181, 54, 150, 86, 182)(55, 151, 77, 173, 60, 156, 78, 174)(61, 157, 87, 183, 66, 162, 88, 184)(69, 165, 89, 185, 71, 167, 90, 186)(70, 166, 91, 187, 72, 168, 92, 188)(73, 169, 93, 189, 75, 171, 94, 190)(74, 170, 95, 191, 76, 172, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 115)(11, 99)(12, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 133)(18, 135)(19, 131)(20, 103)(21, 140)(22, 104)(23, 107)(24, 143)(25, 145)(26, 106)(27, 147)(28, 149)(29, 151)(30, 108)(31, 156)(32, 109)(33, 111)(34, 157)(35, 122)(36, 112)(37, 162)(38, 113)(39, 116)(40, 165)(41, 167)(42, 169)(43, 171)(44, 118)(45, 173)(46, 174)(47, 160)(48, 120)(49, 161)(50, 121)(51, 158)(52, 123)(53, 159)(54, 124)(55, 126)(56, 170)(57, 172)(58, 166)(59, 168)(60, 128)(61, 132)(62, 148)(63, 150)(64, 144)(65, 146)(66, 134)(67, 141)(68, 142)(69, 154)(70, 136)(71, 155)(72, 137)(73, 152)(74, 138)(75, 153)(76, 139)(77, 183)(78, 184)(79, 186)(80, 185)(81, 190)(82, 189)(83, 188)(84, 187)(85, 192)(86, 191)(87, 163)(88, 164)(89, 182)(90, 181)(91, 178)(92, 177)(93, 180)(94, 179)(95, 176)(96, 175)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1708
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1713 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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 * T1)^2, (F * T2)^2, T1^4, T2^4, (T2^-1 * T1^-1 * T2^-1)^2, (T2 * T1^-1 * T2)^2, T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1 * T2 * T1^-2, T2^-1 * T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 26, 122, 13, 109)(6, 102, 16, 112, 35, 131, 17, 113)(9, 105, 24, 120, 15, 111, 25, 121)(11, 107, 27, 123, 14, 110, 28, 124)(18, 114, 40, 136, 22, 118, 41, 137)(20, 116, 42, 138, 21, 117, 43, 139)(23, 119, 45, 141, 33, 129, 46, 142)(29, 125, 56, 152, 32, 128, 57, 153)(30, 126, 58, 154, 31, 127, 59, 155)(34, 130, 62, 158, 38, 134, 63, 159)(36, 132, 64, 160, 37, 133, 65, 161)(39, 135, 67, 163, 44, 140, 68, 164)(47, 143, 79, 175, 50, 146, 80, 176)(48, 144, 81, 177, 49, 145, 82, 178)(51, 147, 83, 179, 54, 150, 84, 180)(52, 148, 85, 181, 53, 149, 86, 182)(55, 151, 77, 173, 60, 156, 78, 174)(61, 157, 87, 183, 66, 162, 88, 184)(69, 165, 89, 185, 72, 168, 90, 186)(70, 166, 91, 187, 71, 167, 92, 188)(73, 169, 93, 189, 76, 172, 94, 190)(74, 170, 95, 191, 75, 171, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 119)(10, 122)(11, 99)(12, 125)(13, 127)(14, 129)(15, 101)(16, 130)(17, 133)(18, 135)(19, 106)(20, 103)(21, 140)(22, 104)(23, 107)(24, 143)(25, 145)(26, 131)(27, 147)(28, 149)(29, 151)(30, 108)(31, 156)(32, 109)(33, 111)(34, 157)(35, 115)(36, 112)(37, 162)(38, 113)(39, 116)(40, 165)(41, 167)(42, 169)(43, 171)(44, 118)(45, 163)(46, 174)(47, 160)(48, 120)(49, 161)(50, 121)(51, 158)(52, 123)(53, 159)(54, 124)(55, 126)(56, 170)(57, 172)(58, 166)(59, 168)(60, 128)(61, 132)(62, 148)(63, 150)(64, 144)(65, 146)(66, 134)(67, 183)(68, 142)(69, 154)(70, 136)(71, 155)(72, 137)(73, 152)(74, 138)(75, 153)(76, 139)(77, 141)(78, 184)(79, 190)(80, 187)(81, 186)(82, 191)(83, 192)(84, 185)(85, 188)(86, 189)(87, 173)(88, 164)(89, 178)(90, 179)(91, 182)(92, 175)(93, 176)(94, 181)(95, 180)(96, 177)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1709
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1714 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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, T2^4, (F * T2)^2, T1^4, (F * T1)^2, (T1 * T2^-1 * T1)^2, (T1 * T2 * T1)^2, T2^-2 * T1^-1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2 * T1 * T2, T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 5, 101)(2, 98, 7, 103, 19, 115, 8, 104)(4, 100, 12, 108, 29, 125, 13, 109)(6, 102, 16, 112, 34, 130, 17, 113)(9, 105, 23, 119, 46, 142, 24, 120)(11, 107, 27, 123, 54, 150, 28, 124)(14, 110, 30, 126, 56, 152, 31, 127)(15, 111, 32, 128, 60, 156, 33, 129)(18, 114, 35, 131, 62, 158, 36, 132)(20, 116, 39, 135, 70, 166, 40, 136)(21, 117, 41, 137, 72, 168, 42, 138)(22, 118, 43, 139, 76, 172, 44, 140)(25, 121, 50, 146, 85, 181, 51, 147)(26, 122, 52, 148, 86, 182, 53, 149)(37, 133, 66, 162, 95, 191, 67, 163)(38, 134, 68, 164, 96, 192, 69, 165)(45, 141, 77, 173, 58, 154, 78, 174)(47, 143, 79, 175, 59, 155, 80, 176)(48, 144, 81, 177, 55, 151, 82, 178)(49, 145, 83, 179, 57, 153, 84, 180)(61, 157, 87, 183, 74, 170, 88, 184)(63, 159, 89, 185, 75, 171, 90, 186)(64, 160, 91, 187, 71, 167, 92, 188)(65, 161, 93, 189, 73, 169, 94, 190)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 114)(8, 117)(9, 113)(10, 121)(11, 99)(12, 118)(13, 116)(14, 112)(15, 101)(16, 111)(17, 107)(18, 109)(19, 133)(20, 103)(21, 108)(22, 104)(23, 141)(24, 144)(25, 130)(26, 106)(27, 145)(28, 143)(29, 134)(30, 151)(31, 154)(32, 155)(33, 153)(34, 122)(35, 157)(36, 160)(37, 125)(38, 115)(39, 161)(40, 159)(41, 167)(42, 170)(43, 171)(44, 169)(45, 124)(46, 162)(47, 119)(48, 123)(49, 120)(50, 168)(51, 158)(52, 166)(53, 172)(54, 165)(55, 129)(56, 163)(57, 126)(58, 128)(59, 127)(60, 164)(61, 136)(62, 148)(63, 131)(64, 135)(65, 132)(66, 150)(67, 156)(68, 152)(69, 142)(70, 147)(71, 140)(72, 149)(73, 137)(74, 139)(75, 138)(76, 146)(77, 190)(78, 185)(79, 184)(80, 187)(81, 186)(82, 189)(83, 188)(84, 183)(85, 191)(86, 192)(87, 177)(88, 174)(89, 175)(90, 180)(91, 173)(92, 178)(93, 179)(94, 176)(95, 182)(96, 181)
	local type(s) :: { ( 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1710
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1715 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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^-2 * T2 * T1^-2, T2^6, (T2^-3 * T1^-1)^2, (T2^-1 * T1)^4, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1 * T2 * T1^-1 * T2^-1)^2, (T2 * T1 * T2^-2 * T1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 28, 124, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 45, 141, 24, 120, 8, 104)(4, 100, 12, 108, 32, 128, 61, 157, 33, 129, 13, 109)(6, 102, 17, 113, 40, 136, 68, 164, 41, 137, 18, 114)(9, 105, 25, 121, 55, 151, 39, 135, 58, 154, 26, 122)(11, 107, 30, 126, 64, 160, 38, 134, 65, 161, 31, 127)(14, 110, 34, 130, 63, 159, 29, 125, 62, 158, 35, 131)(15, 111, 36, 132, 60, 156, 27, 123, 59, 155, 37, 133)(19, 115, 42, 138, 69, 165, 54, 150, 72, 168, 43, 139)(21, 117, 47, 143, 77, 173, 53, 149, 78, 174, 48, 144)(22, 118, 49, 145, 76, 172, 46, 142, 75, 171, 50, 146)(23, 119, 51, 147, 74, 170, 44, 140, 73, 169, 52, 148)(56, 152, 83, 179, 66, 162, 82, 178, 94, 190, 84, 180)(57, 153, 85, 181, 67, 163, 81, 177, 93, 189, 86, 182)(70, 166, 89, 185, 79, 175, 88, 184, 96, 192, 90, 186)(71, 167, 91, 187, 80, 176, 87, 183, 95, 191, 92, 188)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 123)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 134)(17, 107)(18, 111)(19, 108)(20, 140)(21, 103)(22, 109)(23, 104)(24, 149)(25, 146)(26, 152)(27, 136)(28, 157)(29, 106)(30, 148)(31, 153)(32, 142)(33, 150)(34, 162)(35, 138)(36, 163)(37, 143)(38, 137)(39, 112)(40, 125)(41, 135)(42, 133)(43, 166)(44, 128)(45, 124)(46, 116)(47, 131)(48, 167)(49, 175)(50, 126)(51, 176)(52, 121)(53, 129)(54, 120)(55, 177)(56, 127)(57, 122)(58, 170)(59, 180)(60, 168)(61, 164)(62, 182)(63, 174)(64, 178)(65, 172)(66, 132)(67, 130)(68, 141)(69, 183)(70, 144)(71, 139)(72, 159)(73, 186)(74, 161)(75, 188)(76, 154)(77, 184)(78, 156)(79, 147)(80, 145)(81, 160)(82, 151)(83, 187)(84, 158)(85, 185)(86, 155)(87, 173)(88, 165)(89, 179)(90, 171)(91, 181)(92, 169)(93, 191)(94, 192)(95, 190)(96, 189)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1705
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1716 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 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 * T1 * T2)^2, T2^6, T2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-1, (T2^-1 * T1)^4, T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2^-3 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 29, 125, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 52, 148, 24, 120, 8, 104)(4, 100, 12, 108, 34, 130, 66, 162, 28, 124, 13, 109)(6, 102, 17, 113, 44, 140, 80, 176, 48, 144, 18, 114)(9, 105, 26, 122, 15, 111, 41, 137, 64, 160, 27, 123)(11, 107, 31, 127, 46, 142, 84, 180, 67, 163, 32, 128)(14, 110, 39, 135, 68, 164, 82, 178, 45, 141, 40, 136)(19, 115, 50, 146, 23, 119, 59, 155, 88, 184, 51, 147)(21, 117, 54, 150, 36, 132, 70, 166, 89, 185, 55, 151)(22, 118, 57, 153, 90, 186, 74, 170, 35, 131, 58, 154)(25, 121, 60, 156, 91, 187, 53, 149, 83, 179, 61, 157)(30, 126, 56, 152, 92, 188, 71, 167, 42, 138, 69, 165)(33, 129, 62, 158, 37, 133, 63, 159, 93, 189, 72, 168)(38, 134, 76, 172, 77, 173, 65, 161, 94, 190, 73, 169)(43, 139, 78, 174, 47, 143, 85, 181, 95, 191, 79, 175)(49, 145, 86, 182, 96, 192, 81, 177, 75, 171, 87, 183)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 121)(10, 124)(11, 99)(12, 129)(13, 132)(14, 134)(15, 101)(16, 138)(17, 139)(18, 142)(19, 145)(20, 112)(21, 103)(22, 152)(23, 104)(24, 156)(25, 107)(26, 158)(27, 153)(28, 161)(29, 163)(30, 106)(31, 150)(32, 155)(33, 167)(34, 144)(35, 108)(36, 171)(37, 109)(38, 111)(39, 151)(40, 154)(41, 147)(42, 149)(43, 173)(44, 120)(45, 113)(46, 179)(47, 114)(48, 182)(49, 117)(50, 122)(51, 180)(52, 185)(53, 116)(54, 136)(55, 181)(56, 119)(57, 178)(58, 127)(59, 175)(60, 177)(61, 188)(62, 174)(63, 123)(64, 190)(65, 126)(66, 186)(67, 176)(68, 125)(69, 189)(70, 128)(71, 131)(72, 135)(73, 130)(74, 137)(75, 133)(76, 183)(77, 141)(78, 146)(79, 166)(80, 164)(81, 140)(82, 159)(83, 143)(84, 170)(85, 168)(86, 169)(87, 157)(88, 165)(89, 162)(90, 148)(91, 160)(92, 172)(93, 192)(94, 191)(95, 187)(96, 184)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1706
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1717 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^-1 * Y1^-1, Y2^4, (R * Y3)^2, Y2^4, Y1^4, (R * Y1)^2, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y3 * Y2^-1 * Y1^-2 * Y2 * Y1^-1 * Y2^-1 * Y1^-2, Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 * Y2 * Y1^-2 * Y2^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 23, 119, 11, 107)(5, 101, 14, 110, 33, 129, 15, 111)(7, 103, 18, 114, 39, 135, 20, 116)(8, 104, 21, 117, 44, 140, 22, 118)(10, 106, 19, 115, 35, 131, 26, 122)(12, 108, 29, 125, 55, 151, 30, 126)(13, 109, 31, 127, 60, 156, 32, 128)(16, 112, 34, 130, 61, 157, 36, 132)(17, 113, 37, 133, 66, 162, 38, 134)(24, 120, 47, 143, 64, 160, 48, 144)(25, 121, 49, 145, 65, 161, 50, 146)(27, 123, 51, 147, 62, 158, 52, 148)(28, 124, 53, 149, 63, 159, 54, 150)(40, 136, 69, 165, 58, 154, 70, 166)(41, 137, 71, 167, 59, 155, 72, 168)(42, 138, 73, 169, 56, 152, 74, 170)(43, 139, 75, 171, 57, 153, 76, 172)(45, 141, 77, 173, 87, 183, 67, 163)(46, 142, 78, 174, 88, 184, 68, 164)(79, 175, 90, 186, 85, 181, 96, 192)(80, 176, 89, 185, 86, 182, 95, 191)(81, 177, 94, 190, 83, 179, 92, 188)(82, 178, 93, 189, 84, 180, 91, 187)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 218, 314, 205, 301)(198, 294, 208, 304, 227, 323, 209, 305)(201, 297, 216, 312, 206, 302, 217, 313)(203, 299, 219, 315, 207, 303, 220, 316)(210, 306, 232, 328, 213, 309, 233, 329)(212, 308, 234, 330, 214, 310, 235, 331)(215, 311, 237, 333, 225, 321, 238, 334)(221, 317, 248, 344, 223, 319, 249, 345)(222, 318, 250, 346, 224, 320, 251, 347)(226, 322, 254, 350, 229, 325, 255, 351)(228, 324, 256, 352, 230, 326, 257, 353)(231, 327, 259, 355, 236, 332, 260, 356)(239, 335, 271, 367, 241, 337, 272, 368)(240, 336, 273, 369, 242, 338, 274, 370)(243, 339, 275, 371, 245, 341, 276, 372)(244, 340, 277, 373, 246, 342, 278, 374)(247, 343, 269, 365, 252, 348, 270, 366)(253, 349, 279, 375, 258, 354, 280, 376)(261, 357, 281, 377, 263, 359, 282, 378)(262, 358, 283, 379, 264, 360, 284, 380)(265, 361, 285, 381, 267, 363, 286, 382)(266, 362, 287, 383, 268, 364, 288, 384)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 218)(11, 215)(12, 222)(13, 224)(14, 197)(15, 225)(16, 228)(17, 230)(18, 199)(19, 202)(20, 231)(21, 200)(22, 236)(23, 201)(24, 240)(25, 242)(26, 227)(27, 244)(28, 246)(29, 204)(30, 247)(31, 205)(32, 252)(33, 206)(34, 208)(35, 211)(36, 253)(37, 209)(38, 258)(39, 210)(40, 262)(41, 264)(42, 266)(43, 268)(44, 213)(45, 259)(46, 260)(47, 216)(48, 256)(49, 217)(50, 257)(51, 219)(52, 254)(53, 220)(54, 255)(55, 221)(56, 265)(57, 267)(58, 261)(59, 263)(60, 223)(61, 226)(62, 243)(63, 245)(64, 239)(65, 241)(66, 229)(67, 279)(68, 280)(69, 232)(70, 250)(71, 233)(72, 251)(73, 234)(74, 248)(75, 235)(76, 249)(77, 237)(78, 238)(79, 288)(80, 287)(81, 284)(82, 283)(83, 286)(84, 285)(85, 282)(86, 281)(87, 269)(88, 270)(89, 272)(90, 271)(91, 276)(92, 275)(93, 274)(94, 273)(95, 278)(96, 277)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1727
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1718 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^-1 * Y1^-1, Y1^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (Y2^-1 * Y1^-2)^2, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y1^-1 * Y3 * Y2^-1 * Y1, Y3^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1, Y2^-1 * Y3 * Y2^-2 * Y1 * Y2^-1 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y3 * Y2^-2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 16, 112, 15, 111)(7, 103, 18, 114, 13, 109, 20, 116)(8, 104, 21, 117, 12, 108, 22, 118)(10, 106, 25, 121, 34, 130, 26, 122)(19, 115, 37, 133, 29, 125, 38, 134)(23, 119, 45, 141, 28, 124, 47, 143)(24, 120, 48, 144, 27, 123, 49, 145)(30, 126, 55, 151, 33, 129, 57, 153)(31, 127, 58, 154, 32, 128, 59, 155)(35, 131, 61, 157, 40, 136, 63, 159)(36, 132, 64, 160, 39, 135, 65, 161)(41, 137, 71, 167, 44, 140, 73, 169)(42, 138, 74, 170, 43, 139, 75, 171)(46, 142, 66, 162, 54, 150, 69, 165)(50, 146, 72, 168, 53, 149, 76, 172)(51, 147, 62, 158, 52, 148, 70, 166)(56, 152, 67, 163, 60, 156, 68, 164)(77, 173, 94, 190, 80, 176, 91, 187)(78, 174, 89, 185, 79, 175, 88, 184)(81, 177, 90, 186, 84, 180, 87, 183)(82, 178, 93, 189, 83, 179, 92, 188)(85, 181, 95, 191, 86, 182, 96, 192)(193, 289, 195, 291, 202, 298, 197, 293)(194, 290, 199, 295, 211, 307, 200, 296)(196, 292, 204, 300, 221, 317, 205, 301)(198, 294, 208, 304, 226, 322, 209, 305)(201, 297, 215, 311, 238, 334, 216, 312)(203, 299, 219, 315, 246, 342, 220, 316)(206, 302, 222, 318, 248, 344, 223, 319)(207, 303, 224, 320, 252, 348, 225, 321)(210, 306, 227, 323, 254, 350, 228, 324)(212, 308, 231, 327, 262, 358, 232, 328)(213, 309, 233, 329, 264, 360, 234, 330)(214, 310, 235, 331, 268, 364, 236, 332)(217, 313, 242, 338, 277, 373, 243, 339)(218, 314, 244, 340, 278, 374, 245, 341)(229, 325, 258, 354, 287, 383, 259, 355)(230, 326, 260, 356, 288, 384, 261, 357)(237, 333, 269, 365, 250, 346, 270, 366)(239, 335, 271, 367, 251, 347, 272, 368)(240, 336, 273, 369, 247, 343, 274, 370)(241, 337, 275, 371, 249, 345, 276, 372)(253, 349, 279, 375, 266, 362, 280, 376)(255, 351, 281, 377, 267, 363, 282, 378)(256, 352, 283, 379, 263, 359, 284, 380)(257, 353, 285, 381, 265, 361, 286, 382)
	L = (1, 196)(2, 193)(3, 203)(4, 198)(5, 207)(6, 194)(7, 212)(8, 214)(9, 195)(10, 218)(11, 209)(12, 213)(13, 210)(14, 197)(15, 208)(16, 206)(17, 201)(18, 199)(19, 230)(20, 205)(21, 200)(22, 204)(23, 239)(24, 241)(25, 202)(26, 226)(27, 240)(28, 237)(29, 229)(30, 249)(31, 251)(32, 250)(33, 247)(34, 217)(35, 255)(36, 257)(37, 211)(38, 221)(39, 256)(40, 253)(41, 265)(42, 267)(43, 266)(44, 263)(45, 215)(46, 261)(47, 220)(48, 216)(49, 219)(50, 268)(51, 262)(52, 254)(53, 264)(54, 258)(55, 222)(56, 260)(57, 225)(58, 223)(59, 224)(60, 259)(61, 227)(62, 243)(63, 232)(64, 228)(65, 231)(66, 238)(67, 248)(68, 252)(69, 246)(70, 244)(71, 233)(72, 242)(73, 236)(74, 234)(75, 235)(76, 245)(77, 283)(78, 280)(79, 281)(80, 286)(81, 279)(82, 284)(83, 285)(84, 282)(85, 288)(86, 287)(87, 276)(88, 271)(89, 270)(90, 273)(91, 272)(92, 275)(93, 274)(94, 269)(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) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1728
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.1719 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^4, (Y1 * Y2^-2)^2, Y2^6, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1^2, (Y2^-1 * Y1^-1)^4, (Y3^-1 * Y1^-1)^4, Y1 * Y2 * Y1 * Y2^-3 * Y1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 49, 145, 21, 117)(8, 104, 22, 118, 56, 152, 23, 119)(10, 106, 28, 124, 60, 156, 24, 120)(12, 108, 32, 128, 71, 167, 34, 130)(13, 109, 35, 131, 65, 161, 36, 132)(16, 112, 33, 129, 73, 169, 42, 138)(17, 113, 43, 139, 77, 173, 45, 141)(18, 114, 46, 142, 83, 179, 47, 143)(20, 116, 52, 148, 86, 182, 48, 144)(26, 122, 50, 146, 41, 137, 59, 155)(27, 123, 58, 154, 82, 178, 63, 159)(29, 125, 67, 163, 80, 176, 64, 160)(30, 126, 68, 164, 81, 177, 54, 150)(31, 127, 57, 153, 78, 174, 69, 165)(37, 133, 44, 140, 79, 175, 61, 157)(39, 135, 51, 147, 85, 181, 75, 171)(40, 136, 55, 151, 84, 180, 72, 168)(53, 149, 90, 186, 74, 170, 88, 184)(62, 158, 92, 188, 76, 172, 87, 183)(66, 162, 94, 190, 95, 191, 91, 187)(70, 166, 93, 189, 96, 192, 89, 185)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 245, 341, 216, 312, 200, 296)(196, 292, 204, 300, 225, 321, 266, 362, 229, 325, 205, 301)(198, 294, 209, 305, 236, 332, 272, 368, 240, 336, 210, 306)(201, 297, 218, 314, 239, 335, 277, 373, 256, 352, 219, 315)(203, 299, 222, 318, 206, 302, 231, 327, 262, 358, 223, 319)(207, 303, 232, 328, 259, 355, 270, 366, 235, 331, 233, 329)(211, 307, 242, 338, 228, 324, 261, 357, 280, 376, 243, 339)(213, 309, 246, 342, 214, 310, 249, 345, 283, 379, 247, 343)(215, 311, 250, 346, 282, 378, 264, 360, 224, 320, 251, 347)(217, 313, 253, 349, 285, 381, 265, 361, 275, 371, 254, 350)(220, 316, 257, 353, 279, 375, 241, 337, 234, 330, 258, 354)(226, 322, 260, 356, 227, 323, 255, 351, 286, 382, 267, 363)(230, 326, 268, 364, 269, 365, 252, 348, 281, 377, 244, 340)(237, 333, 273, 369, 238, 334, 276, 372, 288, 384, 274, 370)(248, 344, 284, 380, 263, 359, 278, 374, 287, 383, 271, 367)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 222)(12, 225)(13, 196)(14, 231)(15, 232)(16, 197)(17, 236)(18, 198)(19, 242)(20, 245)(21, 246)(22, 249)(23, 250)(24, 200)(25, 253)(26, 239)(27, 201)(28, 257)(29, 208)(30, 206)(31, 203)(32, 251)(33, 266)(34, 260)(35, 255)(36, 261)(37, 205)(38, 268)(39, 262)(40, 259)(41, 207)(42, 258)(43, 233)(44, 272)(45, 273)(46, 276)(47, 277)(48, 210)(49, 234)(50, 228)(51, 211)(52, 230)(53, 216)(54, 214)(55, 213)(56, 284)(57, 283)(58, 282)(59, 215)(60, 281)(61, 285)(62, 217)(63, 286)(64, 219)(65, 279)(66, 220)(67, 270)(68, 227)(69, 280)(70, 223)(71, 278)(72, 224)(73, 275)(74, 229)(75, 226)(76, 269)(77, 252)(78, 235)(79, 248)(80, 240)(81, 238)(82, 237)(83, 254)(84, 288)(85, 256)(86, 287)(87, 241)(88, 243)(89, 244)(90, 264)(91, 247)(92, 263)(93, 265)(94, 267)(95, 271)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1723
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1720 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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 * Y3)^2, Y1^4, (R * Y1)^2, Y2^6, (Y2^2 * Y1)^2, (Y1^-1 * Y2^-1)^4, Y2^2 * Y1^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1, (Y3^-1 * Y1^-1)^4, (Y2^-3 * Y1^-2)^2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 25, 121, 11, 107)(5, 101, 14, 110, 38, 134, 15, 111)(7, 103, 19, 115, 49, 145, 21, 117)(8, 104, 22, 118, 56, 152, 23, 119)(10, 106, 28, 124, 65, 161, 30, 126)(12, 108, 33, 129, 71, 167, 35, 131)(13, 109, 36, 132, 75, 171, 37, 133)(16, 112, 42, 138, 53, 149, 20, 116)(17, 113, 43, 139, 77, 173, 45, 141)(18, 114, 46, 142, 83, 179, 47, 143)(24, 120, 60, 156, 81, 177, 44, 140)(26, 122, 62, 158, 78, 174, 50, 146)(27, 123, 57, 153, 82, 178, 63, 159)(29, 125, 67, 163, 80, 176, 68, 164)(31, 127, 54, 150, 40, 136, 58, 154)(32, 128, 59, 155, 79, 175, 70, 166)(34, 130, 48, 144, 86, 182, 73, 169)(39, 135, 55, 151, 85, 181, 72, 168)(41, 137, 51, 147, 84, 180, 74, 170)(52, 148, 89, 185, 66, 162, 90, 186)(61, 157, 92, 188, 76, 172, 87, 183)(64, 160, 94, 190, 95, 191, 91, 187)(69, 165, 93, 189, 96, 192, 88, 184)(193, 289, 195, 291, 202, 298, 221, 317, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 244, 340, 216, 312, 200, 296)(196, 292, 204, 300, 226, 322, 258, 354, 220, 316, 205, 301)(198, 294, 209, 305, 236, 332, 272, 368, 240, 336, 210, 306)(201, 297, 218, 314, 207, 303, 233, 329, 256, 352, 219, 315)(203, 299, 223, 319, 238, 334, 276, 372, 259, 355, 224, 320)(206, 302, 231, 327, 260, 356, 274, 370, 237, 333, 232, 328)(211, 307, 242, 338, 215, 311, 251, 347, 280, 376, 243, 339)(213, 309, 246, 342, 228, 324, 262, 358, 281, 377, 247, 343)(214, 310, 249, 345, 282, 378, 266, 362, 227, 323, 250, 346)(217, 313, 252, 348, 283, 379, 245, 341, 275, 371, 253, 349)(222, 318, 248, 344, 284, 380, 263, 359, 234, 330, 261, 357)(225, 321, 254, 350, 229, 325, 255, 351, 285, 381, 264, 360)(230, 326, 268, 364, 269, 365, 257, 353, 286, 382, 265, 361)(235, 331, 270, 366, 239, 335, 277, 373, 287, 383, 271, 367)(241, 337, 278, 374, 288, 384, 273, 369, 267, 363, 279, 375)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 231)(15, 233)(16, 197)(17, 236)(18, 198)(19, 242)(20, 244)(21, 246)(22, 249)(23, 251)(24, 200)(25, 252)(26, 207)(27, 201)(28, 205)(29, 208)(30, 248)(31, 238)(32, 203)(33, 254)(34, 258)(35, 250)(36, 262)(37, 255)(38, 268)(39, 260)(40, 206)(41, 256)(42, 261)(43, 270)(44, 272)(45, 232)(46, 276)(47, 277)(48, 210)(49, 278)(50, 215)(51, 211)(52, 216)(53, 275)(54, 228)(55, 213)(56, 284)(57, 282)(58, 214)(59, 280)(60, 283)(61, 217)(62, 229)(63, 285)(64, 219)(65, 286)(66, 220)(67, 224)(68, 274)(69, 222)(70, 281)(71, 234)(72, 225)(73, 230)(74, 227)(75, 279)(76, 269)(77, 257)(78, 239)(79, 235)(80, 240)(81, 267)(82, 237)(83, 253)(84, 259)(85, 287)(86, 288)(87, 241)(88, 243)(89, 247)(90, 266)(91, 245)(92, 263)(93, 264)(94, 265)(95, 271)(96, 273)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1726
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1721 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y1^4, Y2^-1 * Y1^-2 * Y2 * Y1^-2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, (Y3^-1 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1)^2, (Y2 * Y1 * Y2^-2 * Y1^-1)^2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 27, 123, 40, 136, 29, 125)(16, 112, 38, 134, 41, 137, 39, 135)(20, 116, 44, 140, 32, 128, 46, 142)(24, 120, 53, 149, 33, 129, 54, 150)(25, 121, 50, 146, 30, 126, 52, 148)(26, 122, 56, 152, 31, 127, 57, 153)(28, 124, 61, 157, 68, 164, 45, 141)(34, 130, 66, 162, 36, 132, 67, 163)(35, 131, 42, 138, 37, 133, 47, 143)(43, 139, 70, 166, 48, 144, 71, 167)(49, 145, 79, 175, 51, 147, 80, 176)(55, 151, 81, 177, 64, 160, 82, 178)(58, 154, 74, 170, 65, 161, 76, 172)(59, 155, 84, 180, 62, 158, 86, 182)(60, 156, 72, 168, 63, 159, 78, 174)(69, 165, 87, 183, 77, 173, 88, 184)(73, 169, 90, 186, 75, 171, 92, 188)(83, 179, 91, 187, 85, 181, 89, 185)(93, 189, 95, 191, 94, 190, 96, 192)(193, 289, 195, 291, 202, 298, 220, 316, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 237, 333, 216, 312, 200, 296)(196, 292, 204, 300, 224, 320, 253, 349, 225, 321, 205, 301)(198, 294, 209, 305, 232, 328, 260, 356, 233, 329, 210, 306)(201, 297, 217, 313, 247, 343, 231, 327, 250, 346, 218, 314)(203, 299, 222, 318, 256, 352, 230, 326, 257, 353, 223, 319)(206, 302, 226, 322, 255, 351, 221, 317, 254, 350, 227, 323)(207, 303, 228, 324, 252, 348, 219, 315, 251, 347, 229, 325)(211, 307, 234, 330, 261, 357, 246, 342, 264, 360, 235, 331)(213, 309, 239, 335, 269, 365, 245, 341, 270, 366, 240, 336)(214, 310, 241, 337, 268, 364, 238, 334, 267, 363, 242, 338)(215, 311, 243, 339, 266, 362, 236, 332, 265, 361, 244, 340)(248, 344, 275, 371, 258, 354, 274, 370, 286, 382, 276, 372)(249, 345, 277, 373, 259, 355, 273, 369, 285, 381, 278, 374)(262, 358, 281, 377, 271, 367, 280, 376, 288, 384, 282, 378)(263, 359, 283, 379, 272, 368, 279, 375, 287, 383, 284, 380)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 232)(18, 198)(19, 234)(20, 237)(21, 239)(22, 241)(23, 243)(24, 200)(25, 247)(26, 201)(27, 251)(28, 208)(29, 254)(30, 256)(31, 203)(32, 253)(33, 205)(34, 255)(35, 206)(36, 252)(37, 207)(38, 257)(39, 250)(40, 260)(41, 210)(42, 261)(43, 211)(44, 265)(45, 216)(46, 267)(47, 269)(48, 213)(49, 268)(50, 214)(51, 266)(52, 215)(53, 270)(54, 264)(55, 231)(56, 275)(57, 277)(58, 218)(59, 229)(60, 219)(61, 225)(62, 227)(63, 221)(64, 230)(65, 223)(66, 274)(67, 273)(68, 233)(69, 246)(70, 281)(71, 283)(72, 235)(73, 244)(74, 236)(75, 242)(76, 238)(77, 245)(78, 240)(79, 280)(80, 279)(81, 285)(82, 286)(83, 258)(84, 248)(85, 259)(86, 249)(87, 287)(88, 288)(89, 271)(90, 262)(91, 272)(92, 263)(93, 278)(94, 276)(95, 284)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1725
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1722 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, (Y2 * Y1^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, Y2^6, (Y3^-1 * Y1^-1)^4, (Y2^2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y2 * Y1 * Y2^-3 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 19, 115, 8, 104)(5, 101, 11, 107, 25, 121, 13, 109)(7, 103, 17, 113, 34, 130, 16, 112)(10, 106, 23, 119, 45, 141, 22, 118)(12, 108, 15, 111, 32, 128, 27, 123)(14, 110, 29, 125, 56, 152, 31, 127)(18, 114, 38, 134, 68, 164, 37, 133)(20, 116, 40, 136, 73, 169, 42, 138)(21, 117, 43, 139, 60, 156, 41, 137)(24, 120, 49, 145, 63, 159, 48, 144)(26, 122, 52, 148, 81, 177, 51, 147)(28, 124, 54, 150, 83, 179, 55, 151)(30, 126, 50, 146, 65, 161, 36, 132)(33, 129, 62, 158, 88, 184, 61, 157)(35, 131, 64, 160, 91, 187, 66, 162)(39, 135, 72, 168, 53, 149, 71, 167)(44, 140, 70, 166, 94, 190, 77, 173)(46, 142, 78, 174, 89, 185, 69, 165)(47, 143, 76, 172, 93, 189, 79, 175)(57, 153, 84, 180, 92, 188, 74, 170)(58, 154, 67, 163, 90, 186, 85, 181)(59, 155, 75, 171, 87, 183, 82, 178)(80, 176, 95, 191, 86, 182, 96, 192)(193, 289, 195, 291, 202, 298, 216, 312, 206, 302, 197, 293)(194, 290, 199, 295, 210, 306, 231, 327, 212, 308, 200, 296)(196, 292, 203, 299, 218, 314, 245, 341, 220, 316, 204, 300)(198, 294, 207, 303, 225, 321, 255, 351, 227, 323, 208, 304)(201, 297, 213, 309, 236, 332, 260, 356, 238, 334, 214, 310)(205, 301, 221, 317, 249, 345, 275, 371, 250, 346, 222, 318)(209, 305, 228, 324, 259, 355, 280, 376, 261, 357, 229, 325)(211, 307, 232, 328, 266, 362, 248, 344, 267, 363, 233, 329)(215, 311, 239, 335, 272, 368, 286, 382, 258, 354, 240, 336)(217, 313, 242, 338, 271, 367, 237, 333, 270, 366, 243, 339)(219, 315, 246, 342, 276, 372, 283, 379, 269, 365, 235, 331)(223, 319, 241, 337, 254, 350, 282, 378, 278, 374, 251, 347)(224, 320, 252, 348, 279, 375, 273, 369, 281, 377, 253, 349)(226, 322, 256, 352, 284, 380, 265, 361, 285, 381, 257, 353)(230, 326, 262, 358, 287, 383, 277, 373, 247, 343, 263, 359)(234, 330, 264, 360, 244, 340, 274, 370, 288, 384, 268, 364)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 210)(8, 194)(9, 213)(10, 216)(11, 218)(12, 196)(13, 221)(14, 197)(15, 225)(16, 198)(17, 228)(18, 231)(19, 232)(20, 200)(21, 236)(22, 201)(23, 239)(24, 206)(25, 242)(26, 245)(27, 246)(28, 204)(29, 249)(30, 205)(31, 241)(32, 252)(33, 255)(34, 256)(35, 208)(36, 259)(37, 209)(38, 262)(39, 212)(40, 266)(41, 211)(42, 264)(43, 219)(44, 260)(45, 270)(46, 214)(47, 272)(48, 215)(49, 254)(50, 271)(51, 217)(52, 274)(53, 220)(54, 276)(55, 263)(56, 267)(57, 275)(58, 222)(59, 223)(60, 279)(61, 224)(62, 282)(63, 227)(64, 284)(65, 226)(66, 240)(67, 280)(68, 238)(69, 229)(70, 287)(71, 230)(72, 244)(73, 285)(74, 248)(75, 233)(76, 234)(77, 235)(78, 243)(79, 237)(80, 286)(81, 281)(82, 288)(83, 250)(84, 283)(85, 247)(86, 251)(87, 273)(88, 261)(89, 253)(90, 278)(91, 269)(92, 265)(93, 257)(94, 258)(95, 277)(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, 8, 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1724
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 8^24, 12^16 ]

E17.1723 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, R^2, Y2^4, Y2^4, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^-1 * Y2^2 * Y3 * Y2, (Y2^-1 * R * Y2^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3^3 * Y2^-1 * Y3^-3 * Y2^-1, Y3^-1 * Y2^-1 * Y3^-2 * Y2 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 209, 305, 203, 299)(197, 293, 206, 302, 210, 306, 207, 303)(199, 295, 211, 307, 204, 300, 213, 309)(200, 296, 214, 310, 205, 301, 215, 311)(202, 298, 219, 315, 232, 328, 221, 317)(208, 304, 230, 326, 233, 329, 231, 327)(212, 308, 236, 332, 224, 320, 238, 334)(216, 312, 245, 341, 225, 321, 246, 342)(217, 313, 242, 338, 222, 318, 244, 340)(218, 314, 248, 344, 223, 319, 249, 345)(220, 316, 253, 349, 260, 356, 237, 333)(226, 322, 258, 354, 228, 324, 259, 355)(227, 323, 234, 330, 229, 325, 239, 335)(235, 331, 262, 358, 240, 336, 263, 359)(241, 337, 271, 367, 243, 339, 272, 368)(247, 343, 273, 369, 256, 352, 274, 370)(250, 346, 266, 362, 257, 353, 268, 364)(251, 347, 276, 372, 254, 350, 278, 374)(252, 348, 264, 360, 255, 351, 270, 366)(261, 357, 279, 375, 269, 365, 280, 376)(265, 361, 282, 378, 267, 363, 284, 380)(275, 371, 283, 379, 277, 373, 281, 377)(285, 381, 287, 383, 286, 382, 288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 217)(10, 220)(11, 222)(12, 224)(13, 196)(14, 226)(15, 228)(16, 197)(17, 232)(18, 198)(19, 234)(20, 237)(21, 239)(22, 241)(23, 243)(24, 200)(25, 247)(26, 201)(27, 251)(28, 208)(29, 254)(30, 256)(31, 203)(32, 253)(33, 205)(34, 255)(35, 206)(36, 252)(37, 207)(38, 257)(39, 250)(40, 260)(41, 210)(42, 261)(43, 211)(44, 265)(45, 216)(46, 267)(47, 269)(48, 213)(49, 268)(50, 214)(51, 266)(52, 215)(53, 270)(54, 264)(55, 231)(56, 275)(57, 277)(58, 218)(59, 229)(60, 219)(61, 225)(62, 227)(63, 221)(64, 230)(65, 223)(66, 274)(67, 273)(68, 233)(69, 246)(70, 281)(71, 283)(72, 235)(73, 244)(74, 236)(75, 242)(76, 238)(77, 245)(78, 240)(79, 280)(80, 279)(81, 285)(82, 286)(83, 258)(84, 248)(85, 259)(86, 249)(87, 287)(88, 288)(89, 271)(90, 262)(91, 272)(92, 263)(93, 278)(94, 276)(95, 284)(96, 282)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1719
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1724 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, R^2, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^-2 * Y2)^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2^-1, (Y2 * Y3)^4, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3^3 * Y2^-2 * Y3^-3 * Y2^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 217, 313, 203, 299)(197, 293, 206, 302, 230, 326, 207, 303)(199, 295, 211, 307, 241, 337, 213, 309)(200, 296, 214, 310, 248, 344, 215, 311)(202, 298, 220, 316, 252, 348, 216, 312)(204, 300, 224, 320, 263, 359, 226, 322)(205, 301, 227, 323, 257, 353, 228, 324)(208, 304, 225, 321, 265, 361, 234, 330)(209, 305, 235, 331, 269, 365, 237, 333)(210, 306, 238, 334, 275, 371, 239, 335)(212, 308, 244, 340, 278, 374, 240, 336)(218, 314, 242, 338, 233, 329, 251, 347)(219, 315, 250, 346, 274, 370, 255, 351)(221, 317, 259, 355, 272, 368, 256, 352)(222, 318, 260, 356, 273, 369, 246, 342)(223, 319, 249, 345, 270, 366, 261, 357)(229, 325, 236, 332, 271, 367, 253, 349)(231, 327, 243, 339, 277, 373, 267, 363)(232, 328, 247, 343, 276, 372, 264, 360)(245, 341, 282, 378, 266, 362, 280, 376)(254, 350, 284, 380, 268, 364, 279, 375)(258, 354, 286, 382, 287, 383, 283, 379)(262, 358, 285, 381, 288, 384, 281, 377)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 222)(12, 225)(13, 196)(14, 231)(15, 232)(16, 197)(17, 236)(18, 198)(19, 242)(20, 245)(21, 246)(22, 249)(23, 250)(24, 200)(25, 253)(26, 239)(27, 201)(28, 257)(29, 208)(30, 206)(31, 203)(32, 251)(33, 266)(34, 260)(35, 255)(36, 261)(37, 205)(38, 268)(39, 262)(40, 259)(41, 207)(42, 258)(43, 233)(44, 272)(45, 273)(46, 276)(47, 277)(48, 210)(49, 234)(50, 228)(51, 211)(52, 230)(53, 216)(54, 214)(55, 213)(56, 284)(57, 283)(58, 282)(59, 215)(60, 281)(61, 285)(62, 217)(63, 286)(64, 219)(65, 279)(66, 220)(67, 270)(68, 227)(69, 280)(70, 223)(71, 278)(72, 224)(73, 275)(74, 229)(75, 226)(76, 269)(77, 252)(78, 235)(79, 248)(80, 240)(81, 238)(82, 237)(83, 254)(84, 288)(85, 256)(86, 287)(87, 241)(88, 243)(89, 244)(90, 264)(91, 247)(92, 263)(93, 265)(94, 267)(95, 271)(96, 274)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1722
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1725 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, R^2, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^2 * Y2)^2, Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2^-2, (Y2^-1 * Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^4, Y3 * Y2^2 * Y3^3 * Y2 * Y3^-2 * Y2^-1, (Y3^-1 * Y2^2 * Y3^-2)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 217, 313, 203, 299)(197, 293, 206, 302, 230, 326, 207, 303)(199, 295, 211, 307, 241, 337, 213, 309)(200, 296, 214, 310, 248, 344, 215, 311)(202, 298, 220, 316, 257, 353, 222, 318)(204, 300, 225, 321, 263, 359, 227, 323)(205, 301, 228, 324, 267, 363, 229, 325)(208, 304, 234, 330, 245, 341, 212, 308)(209, 305, 235, 331, 269, 365, 237, 333)(210, 306, 238, 334, 275, 371, 239, 335)(216, 312, 252, 348, 273, 369, 236, 332)(218, 314, 254, 350, 270, 366, 242, 338)(219, 315, 249, 345, 274, 370, 255, 351)(221, 317, 259, 355, 272, 368, 260, 356)(223, 319, 246, 342, 232, 328, 250, 346)(224, 320, 251, 347, 271, 367, 262, 358)(226, 322, 240, 336, 278, 374, 265, 361)(231, 327, 247, 343, 277, 373, 264, 360)(233, 329, 243, 339, 276, 372, 266, 362)(244, 340, 281, 377, 258, 354, 282, 378)(253, 349, 284, 380, 268, 364, 279, 375)(256, 352, 286, 382, 287, 383, 283, 379)(261, 357, 285, 381, 288, 384, 280, 376)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 218)(10, 221)(11, 223)(12, 226)(13, 196)(14, 231)(15, 233)(16, 197)(17, 236)(18, 198)(19, 242)(20, 244)(21, 246)(22, 249)(23, 251)(24, 200)(25, 252)(26, 207)(27, 201)(28, 205)(29, 208)(30, 248)(31, 238)(32, 203)(33, 254)(34, 258)(35, 250)(36, 262)(37, 255)(38, 268)(39, 260)(40, 206)(41, 256)(42, 261)(43, 270)(44, 272)(45, 232)(46, 276)(47, 277)(48, 210)(49, 278)(50, 215)(51, 211)(52, 216)(53, 275)(54, 228)(55, 213)(56, 284)(57, 282)(58, 214)(59, 280)(60, 283)(61, 217)(62, 229)(63, 285)(64, 219)(65, 286)(66, 220)(67, 224)(68, 274)(69, 222)(70, 281)(71, 234)(72, 225)(73, 230)(74, 227)(75, 279)(76, 269)(77, 257)(78, 239)(79, 235)(80, 240)(81, 267)(82, 237)(83, 253)(84, 259)(85, 287)(86, 288)(87, 241)(88, 243)(89, 247)(90, 266)(91, 245)(92, 263)(93, 264)(94, 265)(95, 271)(96, 273)(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, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1721
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1726 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, R^2, Y2^4, (Y2 * Y3)^2, (R * Y1)^2, (R * Y3)^2, Y3^6, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2^-1)^4, (Y3^-3 * Y2^-2)^2, (Y3 * Y2^-1 * Y3^-2 * Y2^-1)^2, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 198, 294, 196, 292)(195, 291, 201, 297, 213, 309, 203, 299)(197, 293, 205, 301, 210, 306, 199, 295)(200, 296, 211, 307, 225, 321, 207, 303)(202, 298, 215, 311, 239, 335, 217, 313)(204, 300, 208, 304, 226, 322, 220, 316)(206, 302, 223, 319, 249, 345, 221, 317)(209, 305, 228, 324, 259, 355, 230, 326)(212, 308, 234, 330, 266, 362, 232, 328)(214, 310, 237, 333, 270, 366, 235, 331)(216, 312, 241, 337, 253, 349, 242, 338)(218, 314, 236, 332, 255, 351, 233, 329)(219, 315, 245, 341, 274, 370, 246, 342)(222, 318, 247, 343, 257, 353, 231, 327)(224, 320, 252, 348, 279, 375, 254, 350)(227, 323, 258, 354, 284, 380, 256, 352)(229, 325, 261, 357, 238, 334, 262, 358)(240, 336, 273, 369, 280, 376, 260, 356)(243, 339, 264, 360, 285, 381, 272, 368)(244, 340, 267, 363, 286, 382, 276, 372)(248, 344, 269, 365, 283, 379, 265, 361)(250, 346, 268, 364, 281, 377, 277, 373)(251, 347, 263, 359, 282, 378, 271, 367)(275, 371, 287, 383, 278, 374, 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) :: { ( 8, 12 ), ( 8, 12, 8, 12, 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1720
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1727 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1 * Y3^2 * Y1^-1, Y1^6, (Y1^-1 * Y3 * Y1^-2)^2, (Y1^-1 * Y3^-1)^4, (Y3 * Y2^-1)^4, (Y3^-1 * Y1 * Y3^-1 * Y1^-2)^2, Y3 * Y1^3 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 41, 137, 30, 126, 11, 107)(5, 101, 15, 111, 38, 134, 40, 136, 39, 135, 16, 112)(7, 103, 20, 116, 47, 143, 35, 131, 51, 147, 22, 118)(8, 104, 23, 119, 53, 149, 34, 130, 54, 150, 24, 120)(10, 106, 21, 117, 43, 139, 68, 164, 61, 157, 28, 124)(12, 108, 32, 128, 46, 142, 19, 115, 45, 141, 33, 129)(14, 110, 36, 132, 44, 140, 18, 114, 42, 138, 37, 133)(26, 122, 57, 153, 81, 177, 64, 160, 71, 167, 58, 154)(27, 123, 59, 155, 84, 180, 63, 159, 72, 168, 60, 156)(29, 125, 62, 158, 79, 175, 56, 152, 75, 171, 48, 144)(31, 127, 65, 161, 78, 174, 55, 151, 76, 172, 49, 145)(50, 146, 77, 173, 66, 162, 74, 170, 87, 183, 69, 165)(52, 148, 80, 176, 67, 163, 73, 169, 88, 184, 70, 166)(82, 178, 92, 188, 85, 181, 94, 190, 95, 191, 90, 186)(83, 179, 91, 187, 86, 182, 93, 189, 96, 192, 89, 185)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 221)(12, 220)(13, 226)(14, 196)(15, 219)(16, 223)(17, 232)(18, 235)(19, 198)(20, 240)(21, 200)(22, 242)(23, 241)(24, 244)(25, 247)(26, 207)(27, 201)(28, 206)(29, 208)(30, 255)(31, 203)(32, 258)(33, 249)(34, 253)(35, 205)(36, 259)(37, 251)(38, 248)(39, 256)(40, 260)(41, 209)(42, 261)(43, 211)(44, 263)(45, 262)(46, 264)(47, 265)(48, 215)(49, 212)(50, 216)(51, 270)(52, 214)(53, 266)(54, 271)(55, 230)(56, 217)(57, 229)(58, 274)(59, 225)(60, 275)(61, 227)(62, 277)(63, 231)(64, 222)(65, 278)(66, 228)(67, 224)(68, 233)(69, 237)(70, 234)(71, 238)(72, 236)(73, 245)(74, 239)(75, 281)(76, 282)(77, 283)(78, 246)(79, 243)(80, 284)(81, 285)(82, 252)(83, 250)(84, 286)(85, 257)(86, 254)(87, 287)(88, 288)(89, 268)(90, 267)(91, 272)(92, 269)(93, 276)(94, 273)(95, 280)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1717
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1728 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 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, Y3^4, (R * Y2 * Y3^-1)^2, (Y1^-2 * Y3^-1)^2, Y1^6, Y3^-2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y3 * Y1)^4, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4, Y1^-2 * Y3^-2 * Y1^3 * Y3^2 * Y1^-1 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 17, 113, 13, 109, 4, 100)(3, 99, 9, 105, 25, 121, 61, 157, 31, 127, 11, 107)(5, 101, 15, 111, 38, 134, 46, 142, 18, 114, 16, 112)(7, 103, 20, 116, 14, 110, 37, 133, 54, 150, 22, 118)(8, 104, 23, 119, 56, 152, 78, 174, 43, 139, 24, 120)(10, 106, 28, 124, 66, 162, 77, 173, 69, 165, 29, 125)(12, 108, 33, 129, 44, 140, 79, 175, 68, 164, 35, 131)(19, 115, 47, 143, 84, 180, 74, 170, 36, 132, 48, 144)(21, 117, 51, 147, 88, 184, 62, 158, 90, 186, 52, 148)(26, 122, 50, 146, 32, 128, 59, 155, 86, 182, 64, 160)(27, 123, 57, 153, 41, 137, 60, 156, 83, 179, 65, 161)(30, 126, 53, 149, 82, 178, 75, 171, 40, 136, 58, 154)(34, 130, 72, 168, 81, 177, 45, 141, 80, 176, 73, 169)(39, 135, 49, 145, 42, 138, 55, 151, 85, 181, 71, 167)(63, 159, 93, 189, 96, 192, 89, 185, 76, 172, 91, 187)(67, 163, 87, 183, 70, 166, 94, 190, 95, 191, 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, 199)(3, 202)(4, 204)(5, 193)(6, 210)(7, 213)(8, 194)(9, 218)(10, 197)(11, 222)(12, 226)(13, 228)(14, 196)(15, 231)(16, 233)(17, 235)(18, 237)(19, 198)(20, 241)(21, 200)(22, 245)(23, 249)(24, 251)(25, 205)(26, 255)(27, 201)(28, 259)(29, 248)(30, 239)(31, 243)(32, 203)(33, 257)(34, 206)(35, 250)(36, 254)(37, 256)(38, 261)(39, 266)(40, 207)(41, 268)(42, 208)(43, 269)(44, 209)(45, 211)(46, 274)(47, 224)(48, 277)(49, 279)(50, 212)(51, 281)(52, 276)(53, 271)(54, 272)(55, 214)(56, 282)(57, 227)(58, 215)(59, 284)(60, 216)(61, 275)(62, 217)(63, 219)(64, 270)(65, 286)(66, 223)(67, 273)(68, 220)(69, 285)(70, 221)(71, 225)(72, 283)(73, 230)(74, 232)(75, 229)(76, 234)(77, 236)(78, 267)(79, 247)(80, 287)(81, 260)(82, 253)(83, 238)(84, 264)(85, 288)(86, 240)(87, 242)(88, 246)(89, 258)(90, 262)(91, 244)(92, 252)(93, 265)(94, 263)(95, 280)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1718
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1729 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-2 * T1 * T2 * T1, (T2 * T1^-1)^4, (T1 * T2^-1 * T1 * T2^2)^2 ]
Map:: non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 42, 21, 7)(4, 11, 30, 57, 34, 12)(8, 22, 51, 39, 33, 23)(10, 27, 60, 40, 62, 28)(13, 35, 56, 24, 55, 36)(14, 37, 16, 26, 58, 38)(18, 44, 75, 50, 77, 45)(19, 46, 72, 41, 71, 47)(20, 48, 29, 43, 73, 49)(31, 63, 94, 67, 89, 64)(32, 65, 83, 52, 82, 66)(53, 84, 70, 80, 74, 85)(54, 86, 59, 81, 78, 87)(61, 92, 95, 88, 76, 93)(68, 96, 69, 90, 79, 91)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 129)(111, 135, 136)(113, 137, 139)(117, 134, 146)(118, 126, 148)(119, 149, 150)(121, 138, 153)(123, 155, 143)(124, 157, 131)(130, 145, 163)(132, 159, 164)(133, 165, 166)(140, 170, 162)(141, 172, 142)(144, 174, 175)(147, 176, 177)(151, 156, 184)(152, 185, 186)(154, 187, 181)(158, 183, 168)(160, 191, 161)(167, 171, 188)(169, 182, 192)(173, 180, 179)(178, 190, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1730
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 3^32, 6^16 ]

E17.1730 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^6, T2 * T1 * T2^-2 * T1 * T2 * T1, (T2 * T1^-1)^4, (T1 * T2^-1 * T1 * T2^2)^2 ]
Map:: non-degenerate
	R = (1, 97, 3, 99, 9, 105, 25, 121, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 42, 138, 21, 117, 7, 103)(4, 100, 11, 107, 30, 126, 57, 153, 34, 130, 12, 108)(8, 104, 22, 118, 51, 147, 39, 135, 33, 129, 23, 119)(10, 106, 27, 123, 60, 156, 40, 136, 62, 158, 28, 124)(13, 109, 35, 131, 56, 152, 24, 120, 55, 151, 36, 132)(14, 110, 37, 133, 16, 112, 26, 122, 58, 154, 38, 134)(18, 114, 44, 140, 75, 171, 50, 146, 77, 173, 45, 141)(19, 115, 46, 142, 72, 168, 41, 137, 71, 167, 47, 143)(20, 116, 48, 144, 29, 125, 43, 139, 73, 169, 49, 145)(31, 127, 63, 159, 94, 190, 67, 163, 89, 185, 64, 160)(32, 128, 65, 161, 83, 179, 52, 148, 82, 178, 66, 162)(53, 149, 84, 180, 70, 166, 80, 176, 74, 170, 85, 181)(54, 150, 86, 182, 59, 155, 81, 177, 78, 174, 87, 183)(61, 157, 92, 188, 95, 191, 88, 184, 76, 172, 93, 189)(68, 164, 96, 192, 69, 165, 90, 186, 79, 175, 91, 187)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 120)(10, 99)(11, 125)(12, 128)(13, 110)(14, 101)(15, 135)(16, 114)(17, 137)(18, 102)(19, 116)(20, 103)(21, 134)(22, 126)(23, 149)(24, 122)(25, 138)(26, 105)(27, 155)(28, 157)(29, 127)(30, 148)(31, 107)(32, 129)(33, 108)(34, 145)(35, 124)(36, 159)(37, 165)(38, 146)(39, 136)(40, 111)(41, 139)(42, 153)(43, 113)(44, 170)(45, 172)(46, 141)(47, 123)(48, 174)(49, 163)(50, 117)(51, 176)(52, 118)(53, 150)(54, 119)(55, 156)(56, 185)(57, 121)(58, 187)(59, 143)(60, 184)(61, 131)(62, 183)(63, 164)(64, 191)(65, 160)(66, 140)(67, 130)(68, 132)(69, 166)(70, 133)(71, 171)(72, 158)(73, 182)(74, 162)(75, 188)(76, 142)(77, 180)(78, 175)(79, 144)(80, 177)(81, 147)(82, 190)(83, 173)(84, 179)(85, 154)(86, 192)(87, 168)(88, 151)(89, 186)(90, 152)(91, 181)(92, 167)(93, 178)(94, 189)(95, 161)(96, 169)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1729
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1731 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, R * Y2^-1 * R * Y1^-1 * Y2^-1 * Y3^-1, Y2^6, (R * Y2 * Y3^-1)^2, Y2^2 * Y1^-1 * Y2^-1 * Y3 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y2^-2 * Y3, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1, Y2^-1 * Y3 * Y2^3 * Y3^-1 * Y2^-2, Y2^-3 * Y1 * Y2^-3 * Y1^-1, Y1 * Y2^2 * Y3 * Y2^-1 * R * Y2 * R, R * Y2^-1 * R * Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1 * Y2, Y1 * Y2 * R * Y2^-2 * Y3 * Y2 * Y3^-1 * Y2^-1 * R * Y2^-1, Y1 * Y2 * Y3 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 41, 137, 43, 139)(21, 117, 38, 134, 50, 146)(22, 118, 30, 126, 52, 148)(23, 119, 53, 149, 54, 150)(25, 121, 42, 138, 57, 153)(27, 123, 59, 155, 47, 143)(28, 124, 61, 157, 35, 131)(34, 130, 49, 145, 67, 163)(36, 132, 63, 159, 68, 164)(37, 133, 69, 165, 70, 166)(44, 140, 74, 170, 66, 162)(45, 141, 76, 172, 46, 142)(48, 144, 78, 174, 79, 175)(51, 147, 80, 176, 81, 177)(55, 151, 60, 156, 88, 184)(56, 152, 89, 185, 90, 186)(58, 154, 91, 187, 85, 181)(62, 158, 87, 183, 72, 168)(64, 160, 95, 191, 65, 161)(71, 167, 75, 171, 92, 188)(73, 169, 86, 182, 96, 192)(77, 173, 84, 180, 83, 179)(82, 178, 94, 190, 93, 189)(193, 289, 195, 291, 201, 297, 217, 313, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 234, 330, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 249, 345, 226, 322, 204, 300)(200, 296, 214, 310, 243, 339, 231, 327, 225, 321, 215, 311)(202, 298, 219, 315, 252, 348, 232, 328, 254, 350, 220, 316)(205, 301, 227, 323, 248, 344, 216, 312, 247, 343, 228, 324)(206, 302, 229, 325, 208, 304, 218, 314, 250, 346, 230, 326)(210, 306, 236, 332, 267, 363, 242, 338, 269, 365, 237, 333)(211, 307, 238, 334, 264, 360, 233, 329, 263, 359, 239, 335)(212, 308, 240, 336, 221, 317, 235, 331, 265, 361, 241, 337)(223, 319, 255, 351, 286, 382, 259, 355, 281, 377, 256, 352)(224, 320, 257, 353, 275, 371, 244, 340, 274, 370, 258, 354)(245, 341, 276, 372, 262, 358, 272, 368, 266, 362, 277, 373)(246, 342, 278, 374, 251, 347, 273, 369, 270, 366, 279, 375)(253, 349, 284, 380, 287, 383, 280, 376, 268, 364, 285, 381)(260, 356, 288, 384, 261, 357, 282, 378, 271, 367, 283, 379)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 235)(18, 208)(19, 199)(20, 211)(21, 242)(22, 244)(23, 246)(24, 201)(25, 249)(26, 216)(27, 239)(28, 227)(29, 203)(30, 214)(31, 221)(32, 204)(33, 224)(34, 259)(35, 253)(36, 260)(37, 262)(38, 213)(39, 207)(40, 231)(41, 209)(42, 217)(43, 233)(44, 258)(45, 238)(46, 268)(47, 251)(48, 271)(49, 226)(50, 230)(51, 273)(52, 222)(53, 215)(54, 245)(55, 280)(56, 282)(57, 234)(58, 277)(59, 219)(60, 247)(61, 220)(62, 264)(63, 228)(64, 257)(65, 287)(66, 266)(67, 241)(68, 255)(69, 229)(70, 261)(71, 284)(72, 279)(73, 288)(74, 236)(75, 263)(76, 237)(77, 275)(78, 240)(79, 270)(80, 243)(81, 272)(82, 285)(83, 276)(84, 269)(85, 283)(86, 265)(87, 254)(88, 252)(89, 248)(90, 281)(91, 250)(92, 267)(93, 286)(94, 274)(95, 256)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1732
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 6^32, 12^16 ]

E17.1732 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = C2 x ((C4 x C4) : C3) (small group id <96, 68>)
Aut   = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 944>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^3, Y1^6, (R * Y2 * Y3^-1)^2, Y1^-2 * Y3 * Y1 * Y3 * Y1 * Y3, (Y1 * Y3^-1)^4, (Y1^-1 * Y3 * Y1^2 * Y3)^2 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 41, 137, 27, 123, 10, 106)(5, 101, 14, 110, 35, 131, 42, 138, 39, 135, 15, 111)(7, 103, 19, 115, 46, 142, 31, 127, 40, 136, 20, 116)(8, 104, 21, 117, 50, 146, 32, 128, 54, 150, 22, 118)(11, 107, 29, 125, 44, 140, 17, 113, 43, 139, 30, 126)(13, 109, 33, 129, 24, 120, 18, 114, 45, 141, 34, 130)(25, 121, 57, 153, 88, 184, 60, 156, 91, 187, 58, 154)(26, 122, 59, 155, 86, 182, 55, 151, 83, 179, 52, 148)(28, 124, 61, 157, 36, 132, 56, 152, 87, 183, 62, 158)(37, 133, 63, 159, 94, 190, 70, 166, 72, 168, 67, 163)(38, 134, 68, 164, 79, 175, 47, 143, 78, 174, 69, 165)(48, 144, 80, 176, 66, 162, 76, 172, 89, 185, 75, 171)(49, 145, 81, 177, 51, 147, 77, 173, 92, 188, 82, 178)(53, 149, 84, 180, 96, 192, 71, 167, 90, 186, 85, 181)(64, 160, 95, 191, 65, 161, 73, 169, 93, 189, 74, 170)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 228)(15, 230)(16, 233)(17, 210)(18, 198)(19, 227)(20, 240)(21, 243)(22, 245)(23, 247)(24, 217)(25, 201)(26, 220)(27, 226)(28, 202)(29, 214)(30, 255)(31, 224)(32, 204)(33, 257)(34, 252)(35, 239)(36, 229)(37, 206)(38, 232)(39, 254)(40, 207)(41, 234)(42, 208)(43, 242)(44, 264)(45, 266)(46, 268)(47, 211)(48, 241)(49, 212)(50, 263)(51, 244)(52, 213)(53, 221)(54, 274)(55, 248)(56, 215)(57, 281)(58, 282)(59, 250)(60, 219)(61, 284)(62, 262)(63, 256)(64, 222)(65, 258)(66, 225)(67, 288)(68, 259)(69, 249)(70, 231)(71, 235)(72, 265)(73, 236)(74, 267)(75, 237)(76, 269)(77, 238)(78, 286)(79, 283)(80, 271)(81, 287)(82, 278)(83, 280)(84, 275)(85, 270)(86, 246)(87, 273)(88, 276)(89, 261)(90, 251)(91, 272)(92, 285)(93, 253)(94, 277)(95, 279)(96, 260)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1731
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1733 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1 * T2^-1)^2, T2^6, T1 * T2^-4 * T1 * T2^2, (T2 * T1^-1)^4, (T2, T1^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 15, 5)(2, 6, 17, 40, 21, 7)(4, 11, 30, 51, 24, 12)(8, 22, 14, 36, 50, 23)(10, 27, 57, 86, 52, 28)(13, 34, 53, 72, 68, 35)(16, 38, 20, 45, 74, 39)(18, 41, 78, 47, 75, 42)(19, 43, 76, 93, 80, 44)(26, 54, 46, 70, 37, 55)(29, 60, 33, 65, 91, 58)(31, 61, 94, 71, 85, 62)(32, 63, 82, 48, 81, 64)(49, 83, 69, 96, 77, 84)(56, 90, 59, 92, 79, 88)(66, 87, 67, 89, 73, 95)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 112, 114)(103, 115, 116)(105, 120, 122)(107, 125, 127)(108, 128, 129)(111, 133, 113)(117, 142, 126)(118, 143, 144)(119, 145, 138)(121, 148, 149)(123, 152, 140)(124, 154, 155)(130, 162, 141)(131, 157, 163)(132, 159, 165)(134, 167, 168)(135, 169, 158)(136, 171, 172)(137, 173, 160)(139, 175, 161)(146, 164, 153)(147, 181, 178)(150, 183, 180)(151, 184, 185)(156, 182, 189)(166, 192, 186)(170, 176, 174)(177, 190, 187)(179, 191, 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) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1734
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 3^32, 6^16 ]

E17.1734 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1 * T2^-1)^2, T2^6, T1 * T2^-4 * T1 * T2^2, (T2 * T1^-1)^4, (T2, T1^-1)^2, T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 25, 121, 15, 111, 5, 101)(2, 98, 6, 102, 17, 113, 40, 136, 21, 117, 7, 103)(4, 100, 11, 107, 30, 126, 51, 147, 24, 120, 12, 108)(8, 104, 22, 118, 14, 110, 36, 132, 50, 146, 23, 119)(10, 106, 27, 123, 57, 153, 86, 182, 52, 148, 28, 124)(13, 109, 34, 130, 53, 149, 72, 168, 68, 164, 35, 131)(16, 112, 38, 134, 20, 116, 45, 141, 74, 170, 39, 135)(18, 114, 41, 137, 78, 174, 47, 143, 75, 171, 42, 138)(19, 115, 43, 139, 76, 172, 93, 189, 80, 176, 44, 140)(26, 122, 54, 150, 46, 142, 70, 166, 37, 133, 55, 151)(29, 125, 60, 156, 33, 129, 65, 161, 91, 187, 58, 154)(31, 127, 61, 157, 94, 190, 71, 167, 85, 181, 62, 158)(32, 128, 63, 159, 82, 178, 48, 144, 81, 177, 64, 160)(49, 145, 83, 179, 69, 165, 96, 192, 77, 173, 84, 180)(56, 152, 90, 186, 59, 155, 92, 188, 79, 175, 88, 184)(66, 162, 87, 183, 67, 163, 89, 185, 73, 169, 95, 191)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 112)(7, 115)(8, 106)(9, 120)(10, 99)(11, 125)(12, 128)(13, 110)(14, 101)(15, 133)(16, 114)(17, 111)(18, 102)(19, 116)(20, 103)(21, 142)(22, 143)(23, 145)(24, 122)(25, 148)(26, 105)(27, 152)(28, 154)(29, 127)(30, 117)(31, 107)(32, 129)(33, 108)(34, 162)(35, 157)(36, 159)(37, 113)(38, 167)(39, 169)(40, 171)(41, 173)(42, 119)(43, 175)(44, 123)(45, 130)(46, 126)(47, 144)(48, 118)(49, 138)(50, 164)(51, 181)(52, 149)(53, 121)(54, 183)(55, 184)(56, 140)(57, 146)(58, 155)(59, 124)(60, 182)(61, 163)(62, 135)(63, 165)(64, 137)(65, 139)(66, 141)(67, 131)(68, 153)(69, 132)(70, 192)(71, 168)(72, 134)(73, 158)(74, 176)(75, 172)(76, 136)(77, 160)(78, 170)(79, 161)(80, 174)(81, 190)(82, 147)(83, 191)(84, 150)(85, 178)(86, 189)(87, 180)(88, 185)(89, 151)(90, 166)(91, 177)(92, 179)(93, 156)(94, 187)(95, 188)(96, 186)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1733
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1735 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1, Y1^2 * Y3^-1, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2^-2 * Y1^-1 * Y2^-2, Y2^6, Y1 * Y2^-4 * Y1 * Y2^2, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 37, 133, 17, 113)(21, 117, 46, 142, 30, 126)(22, 118, 47, 143, 48, 144)(23, 119, 49, 145, 42, 138)(25, 121, 52, 148, 53, 149)(27, 123, 56, 152, 44, 140)(28, 124, 58, 154, 59, 155)(34, 130, 66, 162, 45, 141)(35, 131, 61, 157, 67, 163)(36, 132, 63, 159, 69, 165)(38, 134, 71, 167, 72, 168)(39, 135, 73, 169, 62, 158)(40, 136, 75, 171, 76, 172)(41, 137, 77, 173, 64, 160)(43, 139, 79, 175, 65, 161)(50, 146, 68, 164, 57, 153)(51, 147, 85, 181, 82, 178)(54, 150, 87, 183, 84, 180)(55, 151, 88, 184, 89, 185)(60, 156, 86, 182, 93, 189)(70, 166, 96, 192, 90, 186)(74, 170, 80, 176, 78, 174)(81, 177, 94, 190, 91, 187)(83, 179, 95, 191, 92, 188)(193, 289, 195, 291, 201, 297, 217, 313, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 232, 328, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 243, 339, 216, 312, 204, 300)(200, 296, 214, 310, 206, 302, 228, 324, 242, 338, 215, 311)(202, 298, 219, 315, 249, 345, 278, 374, 244, 340, 220, 316)(205, 301, 226, 322, 245, 341, 264, 360, 260, 356, 227, 323)(208, 304, 230, 326, 212, 308, 237, 333, 266, 362, 231, 327)(210, 306, 233, 329, 270, 366, 239, 335, 267, 363, 234, 330)(211, 307, 235, 331, 268, 364, 285, 381, 272, 368, 236, 332)(218, 314, 246, 342, 238, 334, 262, 358, 229, 325, 247, 343)(221, 317, 252, 348, 225, 321, 257, 353, 283, 379, 250, 346)(223, 319, 253, 349, 286, 382, 263, 359, 277, 373, 254, 350)(224, 320, 255, 351, 274, 370, 240, 336, 273, 369, 256, 352)(241, 337, 275, 371, 261, 357, 288, 384, 269, 365, 276, 372)(248, 344, 282, 378, 251, 347, 284, 380, 271, 367, 280, 376)(258, 354, 279, 375, 259, 355, 281, 377, 265, 361, 287, 383)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 209)(16, 198)(17, 229)(18, 208)(19, 199)(20, 211)(21, 222)(22, 240)(23, 234)(24, 201)(25, 245)(26, 216)(27, 236)(28, 251)(29, 203)(30, 238)(31, 221)(32, 204)(33, 224)(34, 237)(35, 259)(36, 261)(37, 207)(38, 264)(39, 254)(40, 268)(41, 256)(42, 241)(43, 257)(44, 248)(45, 258)(46, 213)(47, 214)(48, 239)(49, 215)(50, 249)(51, 274)(52, 217)(53, 244)(54, 276)(55, 281)(56, 219)(57, 260)(58, 220)(59, 250)(60, 285)(61, 227)(62, 265)(63, 228)(64, 269)(65, 271)(66, 226)(67, 253)(68, 242)(69, 255)(70, 282)(71, 230)(72, 263)(73, 231)(74, 270)(75, 232)(76, 267)(77, 233)(78, 272)(79, 235)(80, 266)(81, 283)(82, 277)(83, 284)(84, 279)(85, 243)(86, 252)(87, 246)(88, 247)(89, 280)(90, 288)(91, 286)(92, 287)(93, 278)(94, 273)(95, 275)(96, 262)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1736
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 6^32, 12^16 ]

E17.1736 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C2 (small group id <96, 70>)
Aut   = (((C2 x C2 x C2 x C2) : C3) : C2) : C2 (small group id <192, 955>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1^2 * Y3)^2, Y1^6, (Y3 * Y2^-1)^3, (Y3^-1, Y1^-1)^2, (Y3 * Y1^-1)^4, Y1^3 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 53, 149, 27, 123, 10, 106)(5, 101, 14, 110, 33, 129, 40, 136, 17, 113, 15, 111)(7, 103, 19, 115, 13, 109, 32, 128, 46, 142, 20, 116)(8, 104, 21, 117, 48, 144, 71, 167, 38, 134, 22, 118)(11, 107, 29, 125, 39, 135, 72, 168, 62, 158, 30, 126)(18, 114, 41, 137, 58, 154, 64, 160, 31, 127, 42, 138)(24, 120, 54, 150, 28, 124, 59, 155, 90, 186, 55, 151)(25, 121, 56, 152, 80, 176, 43, 139, 79, 175, 47, 143)(26, 122, 57, 153, 87, 183, 96, 192, 84, 180, 50, 146)(34, 130, 67, 163, 37, 133, 70, 166, 85, 181, 51, 147)(35, 131, 61, 157, 94, 190, 88, 184, 73, 169, 68, 164)(36, 132, 65, 161, 74, 170, 44, 140, 81, 177, 69, 165)(45, 141, 82, 178, 66, 162, 95, 191, 91, 187, 76, 172)(49, 145, 83, 179, 52, 148, 86, 182, 92, 188, 77, 173)(60, 156, 75, 171, 63, 159, 78, 174, 89, 185, 93, 189)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 226)(15, 228)(16, 230)(17, 210)(18, 198)(19, 235)(20, 237)(21, 241)(22, 243)(23, 204)(24, 217)(25, 201)(26, 220)(27, 250)(28, 202)(29, 252)(30, 253)(31, 215)(32, 257)(33, 219)(34, 227)(35, 206)(36, 229)(37, 207)(38, 231)(39, 208)(40, 265)(41, 267)(42, 269)(43, 236)(44, 211)(45, 239)(46, 254)(47, 212)(48, 238)(49, 242)(50, 213)(51, 244)(52, 214)(53, 271)(54, 280)(55, 281)(56, 283)(57, 284)(58, 225)(59, 221)(60, 251)(61, 255)(62, 240)(63, 222)(64, 287)(65, 258)(66, 224)(67, 263)(68, 247)(69, 248)(70, 249)(71, 288)(72, 246)(73, 266)(74, 232)(75, 268)(76, 233)(77, 270)(78, 234)(79, 279)(80, 282)(81, 286)(82, 285)(83, 256)(84, 272)(85, 273)(86, 274)(87, 245)(88, 264)(89, 260)(90, 276)(91, 261)(92, 262)(93, 278)(94, 277)(95, 275)(96, 259)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1735
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1737 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X1^3, X2^6, X2 * X1 * X2^-1 * X1^-1 * X2^2 * X1, X1 * X2 * X1^-1 * X2^-1 * X1^2 * X2^-2, (X2 * X1^-1)^4, X2 * X1 * X2^-3 * X1 * X2^-2 * X1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 33)(15, 39, 40)(17, 42, 44)(21, 49, 50)(22, 35, 52)(23, 53, 34)(25, 56, 57)(27, 60, 47)(28, 62, 30)(36, 66, 70)(37, 72, 73)(38, 74, 75)(41, 46, 80)(43, 69, 82)(45, 83, 68)(48, 87, 88)(51, 86, 84)(54, 92, 78)(55, 81, 63)(58, 93, 91)(59, 71, 61)(64, 67, 94)(65, 85, 77)(76, 96, 89)(79, 90, 95)(97, 99, 105, 121, 111, 101)(98, 102, 113, 139, 117, 103)(100, 107, 126, 161, 130, 108)(104, 118, 147, 140, 150, 119)(106, 123, 157, 168, 159, 124)(109, 131, 165, 176, 167, 132)(110, 133, 129, 144, 116, 134)(112, 137, 175, 158, 172, 135)(114, 141, 180, 170, 151, 120)(115, 142, 181, 190, 182, 143)(122, 154, 145, 125, 160, 155)(127, 162, 191, 183, 177, 138)(128, 163, 152, 148, 186, 164)(136, 173, 171, 189, 166, 174)(146, 153, 184, 188, 156, 185)(149, 178, 169, 192, 179, 187)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: chiral
Dual of E17.1738
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 3^32, 6^16 ]

E17.1738 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
Aut   = ((C4 x C4) : C3) : C2 (small group id <96, 71>)
|r| :: 1
Presentation :: [ X2 * X1^-2 * X2^-1 * X1 * X2, X1^6, (X2^-1 * X1^-1)^3, X2^6, X2 * X1 * X2^-2 * X1 * X2 * X1^-2, (X2 * X1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 2, 98, 6, 102, 18, 114, 13, 109, 4, 100)(3, 99, 9, 105, 22, 118, 52, 148, 33, 129, 11, 107)(5, 101, 15, 111, 40, 136, 76, 172, 42, 138, 16, 112)(7, 103, 21, 117, 47, 143, 83, 179, 55, 151, 23, 119)(8, 104, 24, 120, 57, 153, 93, 189, 59, 155, 25, 121)(10, 106, 29, 125, 61, 157, 36, 132, 12, 108, 31, 127)(14, 110, 26, 122, 60, 156, 94, 190, 62, 158, 27, 123)(17, 113, 43, 139, 77, 173, 85, 181, 67, 163, 38, 134)(19, 115, 46, 142, 79, 175, 63, 159, 28, 124, 48, 144)(20, 116, 49, 145, 86, 182, 64, 160, 34, 130, 50, 146)(30, 126, 65, 161, 92, 188, 58, 154, 32, 128, 66, 162)(35, 131, 68, 164, 82, 178, 74, 170, 37, 133, 69, 165)(39, 135, 75, 171, 89, 185, 56, 152, 81, 177, 45, 141)(41, 137, 72, 168, 95, 191, 71, 167, 84, 180, 70, 166)(44, 140, 78, 174, 73, 169, 88, 184, 51, 147, 80, 176)(53, 149, 90, 186, 96, 192, 87, 183, 54, 150, 91, 187)
	L = (1, 99)(2, 103)(3, 106)(4, 108)(5, 97)(6, 115)(7, 118)(8, 98)(9, 123)(10, 126)(11, 128)(12, 131)(13, 133)(14, 100)(15, 116)(16, 129)(17, 101)(18, 140)(19, 143)(20, 102)(21, 112)(22, 149)(23, 150)(24, 141)(25, 151)(26, 104)(27, 157)(28, 105)(29, 160)(30, 113)(31, 163)(32, 164)(33, 165)(34, 107)(35, 167)(36, 168)(37, 169)(38, 109)(39, 110)(40, 153)(41, 111)(42, 170)(43, 156)(44, 175)(45, 114)(46, 121)(47, 137)(48, 180)(49, 134)(50, 124)(51, 117)(52, 185)(53, 122)(54, 125)(55, 127)(56, 119)(57, 182)(58, 120)(59, 132)(60, 136)(61, 174)(62, 176)(63, 190)(64, 188)(65, 179)(66, 138)(67, 178)(68, 189)(69, 177)(70, 130)(71, 135)(72, 184)(73, 183)(74, 186)(75, 139)(76, 187)(77, 191)(78, 146)(79, 154)(80, 161)(81, 147)(82, 142)(83, 173)(84, 148)(85, 144)(86, 171)(87, 145)(88, 172)(89, 192)(90, 159)(91, 155)(92, 152)(93, 166)(94, 162)(95, 158)(96, 181)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: chiral
Dual of E17.1737
Transitivity :: ET+ VT+
Graph:: simple
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1739 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 6, 6})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1)^2, (F * T1)^2, (F * T2)^2, T2^6, (T2^-1 * T1^-1)^6, (T1^-1 * T2^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 20, 13, 5)(2, 6, 15, 29, 16, 7)(4, 10, 21, 37, 22, 11)(8, 17, 31, 49, 32, 18)(12, 23, 39, 59, 40, 24)(14, 26, 42, 63, 43, 27)(19, 33, 51, 74, 52, 34)(25, 35, 53, 76, 61, 41)(28, 44, 65, 85, 66, 45)(30, 46, 67, 87, 68, 47)(36, 54, 77, 93, 78, 55)(38, 56, 79, 90, 73, 57)(48, 69, 60, 82, 88, 70)(50, 71, 89, 83, 62, 72)(58, 80, 64, 84, 95, 81)(75, 91, 94, 96, 86, 92)(97, 98, 100)(99, 104, 103)(101, 106, 108)(102, 110, 107)(105, 115, 114)(109, 119, 121)(111, 124, 123)(112, 113, 126)(116, 131, 130)(117, 132, 120)(118, 122, 134)(125, 142, 141)(127, 144, 143)(128, 129, 146)(133, 152, 151)(135, 154, 137)(136, 150, 156)(138, 158, 153)(139, 140, 160)(145, 167, 166)(147, 169, 168)(148, 149, 171)(155, 178, 177)(157, 176, 161)(159, 180, 179)(162, 163, 182)(164, 165, 173)(170, 187, 186)(172, 181, 188)(174, 175, 190)(183, 189, 192)(184, 185, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 12^3 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1740
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 3^32, 6^16 ]

E17.1740 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 6, 6})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T2^-1 * T1)^2, (F * T1)^2, (F * T2)^2, T2^6, (T2^-1 * T1^-1)^6, (T1^-1 * T2^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 20, 116, 13, 109, 5, 101)(2, 98, 6, 102, 15, 111, 29, 125, 16, 112, 7, 103)(4, 100, 10, 106, 21, 117, 37, 133, 22, 118, 11, 107)(8, 104, 17, 113, 31, 127, 49, 145, 32, 128, 18, 114)(12, 108, 23, 119, 39, 135, 59, 155, 40, 136, 24, 120)(14, 110, 26, 122, 42, 138, 63, 159, 43, 139, 27, 123)(19, 115, 33, 129, 51, 147, 74, 170, 52, 148, 34, 130)(25, 121, 35, 131, 53, 149, 76, 172, 61, 157, 41, 137)(28, 124, 44, 140, 65, 161, 85, 181, 66, 162, 45, 141)(30, 126, 46, 142, 67, 163, 87, 183, 68, 164, 47, 143)(36, 132, 54, 150, 77, 173, 93, 189, 78, 174, 55, 151)(38, 134, 56, 152, 79, 175, 90, 186, 73, 169, 57, 153)(48, 144, 69, 165, 60, 156, 82, 178, 88, 184, 70, 166)(50, 146, 71, 167, 89, 185, 83, 179, 62, 158, 72, 168)(58, 154, 80, 176, 64, 160, 84, 180, 95, 191, 81, 177)(75, 171, 91, 187, 94, 190, 96, 192, 86, 182, 92, 188)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 106)(6, 110)(7, 99)(8, 103)(9, 115)(10, 108)(11, 102)(12, 101)(13, 119)(14, 107)(15, 124)(16, 113)(17, 126)(18, 105)(19, 114)(20, 131)(21, 132)(22, 122)(23, 121)(24, 117)(25, 109)(26, 134)(27, 111)(28, 123)(29, 142)(30, 112)(31, 144)(32, 129)(33, 146)(34, 116)(35, 130)(36, 120)(37, 152)(38, 118)(39, 154)(40, 150)(41, 135)(42, 158)(43, 140)(44, 160)(45, 125)(46, 141)(47, 127)(48, 143)(49, 167)(50, 128)(51, 169)(52, 149)(53, 171)(54, 156)(55, 133)(56, 151)(57, 138)(58, 137)(59, 178)(60, 136)(61, 176)(62, 153)(63, 180)(64, 139)(65, 157)(66, 163)(67, 182)(68, 165)(69, 173)(70, 145)(71, 166)(72, 147)(73, 168)(74, 187)(75, 148)(76, 181)(77, 164)(78, 175)(79, 190)(80, 161)(81, 155)(82, 177)(83, 159)(84, 179)(85, 188)(86, 162)(87, 189)(88, 185)(89, 191)(90, 170)(91, 186)(92, 172)(93, 192)(94, 174)(95, 184)(96, 183)
	local type(s) :: { ( 3, 6, 3, 6, 3, 6, 3, 6, 3, 6, 3, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1739
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.1741 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^3, Y2^-1 * Y1 * Y2^-1 * Y3^-1, (Y1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y3 * Y2^-2 * Y3 * Y2^-2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2^-2, (Y3 * Y2^-1)^6 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 7, 103)(5, 101, 10, 106, 12, 108)(6, 102, 14, 110, 11, 107)(9, 105, 19, 115, 18, 114)(13, 109, 23, 119, 25, 121)(15, 111, 28, 124, 27, 123)(16, 112, 17, 113, 30, 126)(20, 116, 35, 131, 34, 130)(21, 117, 36, 132, 24, 120)(22, 118, 26, 122, 38, 134)(29, 125, 46, 142, 45, 141)(31, 127, 48, 144, 47, 143)(32, 128, 33, 129, 50, 146)(37, 133, 56, 152, 55, 151)(39, 135, 58, 154, 41, 137)(40, 136, 54, 150, 60, 156)(42, 138, 62, 158, 57, 153)(43, 139, 44, 140, 64, 160)(49, 145, 71, 167, 70, 166)(51, 147, 73, 169, 72, 168)(52, 148, 53, 149, 75, 171)(59, 155, 82, 178, 81, 177)(61, 157, 80, 176, 65, 161)(63, 159, 84, 180, 83, 179)(66, 162, 67, 163, 86, 182)(68, 164, 69, 165, 77, 173)(74, 170, 91, 187, 90, 186)(76, 172, 85, 181, 92, 188)(78, 174, 79, 175, 94, 190)(87, 183, 93, 189, 96, 192)(88, 184, 89, 185, 95, 191)(193, 289, 195, 291, 201, 297, 212, 308, 205, 301, 197, 293)(194, 290, 198, 294, 207, 303, 221, 317, 208, 304, 199, 295)(196, 292, 202, 298, 213, 309, 229, 325, 214, 310, 203, 299)(200, 296, 209, 305, 223, 319, 241, 337, 224, 320, 210, 306)(204, 300, 215, 311, 231, 327, 251, 347, 232, 328, 216, 312)(206, 302, 218, 314, 234, 330, 255, 351, 235, 331, 219, 315)(211, 307, 225, 321, 243, 339, 266, 362, 244, 340, 226, 322)(217, 313, 227, 323, 245, 341, 268, 364, 253, 349, 233, 329)(220, 316, 236, 332, 257, 353, 277, 373, 258, 354, 237, 333)(222, 318, 238, 334, 259, 355, 279, 375, 260, 356, 239, 335)(228, 324, 246, 342, 269, 365, 285, 381, 270, 366, 247, 343)(230, 326, 248, 344, 271, 367, 282, 378, 265, 361, 249, 345)(240, 336, 261, 357, 252, 348, 274, 370, 280, 376, 262, 358)(242, 338, 263, 359, 281, 377, 275, 371, 254, 350, 264, 360)(250, 346, 272, 368, 256, 352, 276, 372, 287, 383, 273, 369)(267, 363, 283, 379, 286, 382, 288, 384, 278, 374, 284, 380)
	L = (1, 196)(2, 193)(3, 199)(4, 194)(5, 204)(6, 203)(7, 200)(8, 195)(9, 210)(10, 197)(11, 206)(12, 202)(13, 217)(14, 198)(15, 219)(16, 222)(17, 208)(18, 211)(19, 201)(20, 226)(21, 216)(22, 230)(23, 205)(24, 228)(25, 215)(26, 214)(27, 220)(28, 207)(29, 237)(30, 209)(31, 239)(32, 242)(33, 224)(34, 227)(35, 212)(36, 213)(37, 247)(38, 218)(39, 233)(40, 252)(41, 250)(42, 249)(43, 256)(44, 235)(45, 238)(46, 221)(47, 240)(48, 223)(49, 262)(50, 225)(51, 264)(52, 267)(53, 244)(54, 232)(55, 248)(56, 229)(57, 254)(58, 231)(59, 273)(60, 246)(61, 257)(62, 234)(63, 275)(64, 236)(65, 272)(66, 278)(67, 258)(68, 269)(69, 260)(70, 263)(71, 241)(72, 265)(73, 243)(74, 282)(75, 245)(76, 284)(77, 261)(78, 286)(79, 270)(80, 253)(81, 274)(82, 251)(83, 276)(84, 255)(85, 268)(86, 259)(87, 288)(88, 287)(89, 280)(90, 283)(91, 266)(92, 277)(93, 279)(94, 271)(95, 281)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1742
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 6^32, 12^16 ]

E17.1742 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 6, 6})
Quotient :: dipole
Aut^+ = ((C4 x C4) : C3) : C2 (small group id <96, 72>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (Y1^-1 * Y3)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^6, (Y3 * Y2^-1)^3, (Y1^2 * Y3 * Y1 * Y3^-1)^2, (Y1^-1 * Y3^-1 * Y1^-1)^4, (Y3^-1 * Y1^-1)^6 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 14, 110, 11, 107, 4, 100)(3, 99, 9, 105, 19, 115, 32, 128, 18, 114, 8, 104)(5, 101, 10, 106, 21, 117, 36, 132, 25, 121, 13, 109)(7, 103, 17, 113, 30, 126, 46, 142, 29, 125, 16, 112)(12, 108, 22, 118, 38, 134, 57, 153, 40, 136, 24, 120)(15, 111, 28, 124, 44, 140, 64, 160, 43, 139, 27, 123)(20, 116, 35, 131, 53, 149, 75, 171, 52, 148, 34, 130)(23, 119, 26, 122, 42, 138, 62, 158, 59, 155, 39, 135)(31, 127, 49, 145, 71, 167, 89, 185, 70, 166, 48, 144)(33, 129, 51, 147, 73, 169, 83, 179, 72, 168, 50, 146)(37, 133, 56, 152, 79, 175, 94, 190, 78, 174, 55, 151)(41, 137, 54, 150, 77, 173, 86, 182, 65, 161, 61, 157)(45, 141, 67, 163, 87, 183, 92, 188, 76, 172, 66, 162)(47, 143, 69, 165, 60, 156, 80, 176, 88, 184, 68, 164)(58, 154, 82, 178, 74, 170, 91, 187, 95, 191, 81, 177)(63, 159, 85, 181, 93, 189, 96, 192, 90, 186, 84, 180)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 202)(5, 193)(6, 207)(7, 200)(8, 194)(9, 212)(10, 204)(11, 214)(12, 196)(13, 201)(14, 218)(15, 208)(16, 198)(17, 223)(18, 209)(19, 225)(20, 205)(21, 229)(22, 215)(23, 203)(24, 213)(25, 227)(26, 219)(27, 206)(28, 237)(29, 220)(30, 239)(31, 210)(32, 241)(33, 226)(34, 211)(35, 233)(36, 246)(37, 216)(38, 250)(39, 230)(40, 248)(41, 217)(42, 255)(43, 234)(44, 257)(45, 221)(46, 259)(47, 240)(48, 222)(49, 242)(50, 224)(51, 266)(52, 243)(53, 268)(54, 247)(55, 228)(56, 252)(57, 272)(58, 231)(59, 274)(60, 232)(61, 245)(62, 275)(63, 235)(64, 277)(65, 258)(66, 236)(67, 260)(68, 238)(69, 271)(70, 261)(71, 282)(72, 263)(73, 251)(74, 244)(75, 283)(76, 253)(77, 285)(78, 269)(79, 262)(80, 273)(81, 249)(82, 265)(83, 276)(84, 254)(85, 278)(86, 256)(87, 287)(88, 279)(89, 286)(90, 264)(91, 284)(92, 267)(93, 270)(94, 288)(95, 280)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 12 ), ( 6, 12, 6, 12, 6, 12, 6, 12, 6, 12, 6, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1741
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.1743 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
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, 41, 27, 42)(26, 43, 28, 44)(33, 53, 35, 54)(34, 55, 36, 56)(37, 57, 39, 58)(38, 59, 40, 60)(45, 69, 47, 70)(46, 71, 48, 72)(49, 73, 51, 74)(50, 75, 52, 76)(61, 77, 63, 78)(62, 87, 64, 88)(65, 80, 67, 82)(66, 85, 68, 86)(79, 91, 81, 92)(83, 93, 84, 94)(89, 95, 90, 96)(97, 98, 100)(99, 104, 106)(101, 109, 110)(102, 111, 113)(103, 114, 115)(105, 112, 118)(107, 121, 122)(108, 123, 124)(116, 129, 130)(117, 131, 132)(119, 133, 134)(120, 135, 136)(125, 141, 142)(126, 143, 144)(127, 145, 146)(128, 147, 148)(137, 157, 158)(138, 159, 160)(139, 161, 162)(140, 163, 164)(149, 165, 173)(150, 166, 174)(151, 175, 176)(152, 177, 178)(153, 167, 179)(154, 168, 180)(155, 171, 181)(156, 172, 182)(169, 183, 185)(170, 184, 186)(187, 189, 191)(188, 190, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24^3 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1747
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 3^32, 4^24 ]

E17.1744 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, (T2^-1 * T1^-1)^3, T2^-3 * T1 * T2^3 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 27, 53, 77, 91, 80, 60, 36, 16, 5)(2, 7, 20, 41, 67, 85, 94, 88, 72, 48, 24, 8)(4, 12, 30, 54, 76, 90, 95, 89, 75, 57, 31, 13)(6, 17, 37, 61, 81, 92, 96, 93, 82, 62, 38, 18)(9, 22, 44, 66, 40, 63, 83, 79, 59, 34, 51, 25)(11, 23, 45, 68, 42, 64, 84, 78, 58, 35, 56, 29)(14, 32, 52, 26, 49, 73, 86, 70, 47, 69, 43, 21)(15, 33, 55, 28, 50, 74, 87, 71, 46, 65, 39, 19)(97, 98, 102, 100)(99, 105, 113, 107)(101, 110, 114, 111)(103, 115, 108, 117)(104, 118, 109, 119)(106, 122, 133, 124)(112, 130, 134, 131)(116, 136, 126, 138)(120, 142, 127, 143)(121, 145, 125, 146)(123, 137, 157, 150)(128, 154, 129, 155)(132, 144, 158, 153)(135, 159, 139, 160)(140, 166, 141, 167)(147, 171, 152, 168)(148, 163, 151, 172)(149, 162, 177, 164)(156, 165, 178, 161)(169, 184, 170, 185)(173, 182, 188, 183)(174, 181, 175, 186)(176, 179, 189, 180)(187, 190, 192, 191)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 6^4 ), ( 6^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1748
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 4^24, 12^8 ]

E17.1745 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 12})
Quotient :: edge
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1^2 * T2, T1^2 * T2 * T1^-3 * T2^-1 * T1, (T2^-1 * T1^-1)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 5)(2, 7, 8)(4, 11, 13)(6, 17, 18)(9, 24, 25)(10, 26, 28)(12, 31, 33)(14, 37, 38)(15, 39, 41)(16, 43, 44)(19, 48, 35)(20, 49, 51)(21, 40, 53)(22, 54, 56)(23, 30, 57)(27, 62, 64)(29, 58, 66)(32, 63, 70)(34, 59, 71)(36, 61, 72)(42, 65, 74)(45, 68, 76)(46, 55, 78)(47, 79, 80)(50, 82, 83)(52, 81, 85)(60, 73, 69)(67, 89, 90)(75, 84, 86)(77, 91, 95)(87, 88, 92)(93, 94, 96)(97, 98, 102, 112, 138, 171, 189, 188, 165, 128, 108, 100)(99, 105, 119, 139, 150, 172, 190, 177, 145, 159, 123, 106)(101, 110, 132, 140, 167, 186, 192, 174, 162, 166, 136, 111)(103, 115, 124, 161, 175, 153, 183, 187, 164, 127, 146, 116)(104, 117, 148, 170, 134, 160, 184, 155, 121, 129, 151, 118)(107, 125, 141, 113, 135, 147, 180, 157, 122, 156, 163, 126)(109, 130, 143, 114, 142, 173, 182, 149, 179, 169, 133, 131)(120, 144, 137, 152, 176, 168, 181, 191, 185, 158, 178, 154)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 8^3 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1746
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 96 f = 24
	degree seq :: [ 3^32, 12^8 ]

E17.1746 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, T2^4, T2^-2 * T1 * T2^-2 * T1^-1, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 * T2^-1 * T1^-1, (T2 * T1^-1)^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 9, 105, 5, 101)(2, 98, 6, 102, 16, 112, 7, 103)(4, 100, 11, 107, 22, 118, 12, 108)(8, 104, 20, 116, 13, 109, 21, 117)(10, 106, 23, 119, 14, 110, 24, 120)(15, 111, 29, 125, 18, 114, 30, 126)(17, 113, 31, 127, 19, 115, 32, 128)(25, 121, 41, 137, 27, 123, 42, 138)(26, 122, 43, 139, 28, 124, 44, 140)(33, 129, 53, 149, 35, 131, 54, 150)(34, 130, 55, 151, 36, 132, 56, 152)(37, 133, 57, 153, 39, 135, 58, 154)(38, 134, 59, 155, 40, 136, 60, 156)(45, 141, 69, 165, 47, 143, 70, 166)(46, 142, 71, 167, 48, 144, 72, 168)(49, 145, 73, 169, 51, 147, 74, 170)(50, 146, 75, 171, 52, 148, 76, 172)(61, 157, 77, 173, 63, 159, 78, 174)(62, 158, 87, 183, 64, 160, 88, 184)(65, 161, 80, 176, 67, 163, 82, 178)(66, 162, 85, 181, 68, 164, 86, 182)(79, 175, 91, 187, 81, 177, 92, 188)(83, 179, 93, 189, 84, 180, 94, 190)(89, 185, 95, 191, 90, 186, 96, 192)
	L = (1, 98)(2, 100)(3, 104)(4, 97)(5, 109)(6, 111)(7, 114)(8, 106)(9, 112)(10, 99)(11, 121)(12, 123)(13, 110)(14, 101)(15, 113)(16, 118)(17, 102)(18, 115)(19, 103)(20, 129)(21, 131)(22, 105)(23, 133)(24, 135)(25, 122)(26, 107)(27, 124)(28, 108)(29, 141)(30, 143)(31, 145)(32, 147)(33, 130)(34, 116)(35, 132)(36, 117)(37, 134)(38, 119)(39, 136)(40, 120)(41, 157)(42, 159)(43, 161)(44, 163)(45, 142)(46, 125)(47, 144)(48, 126)(49, 146)(50, 127)(51, 148)(52, 128)(53, 165)(54, 166)(55, 175)(56, 177)(57, 167)(58, 168)(59, 171)(60, 172)(61, 158)(62, 137)(63, 160)(64, 138)(65, 162)(66, 139)(67, 164)(68, 140)(69, 173)(70, 174)(71, 179)(72, 180)(73, 183)(74, 184)(75, 181)(76, 182)(77, 149)(78, 150)(79, 176)(80, 151)(81, 178)(82, 152)(83, 153)(84, 154)(85, 155)(86, 156)(87, 185)(88, 186)(89, 169)(90, 170)(91, 189)(92, 190)(93, 191)(94, 192)(95, 187)(96, 188)
	local type(s) :: { ( 3, 12, 3, 12, 3, 12, 3, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1745
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 96 f = 40
	degree seq :: [ 8^24 ]

E17.1747 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, T1 * T2 * T1^-1 * T2 * T1^-1 * T2, T1^-1 * T2^-1 * T1^-2 * T2 * T1^-1, (T2^-1 * T1^-1)^3, T2^-3 * T1 * T2^3 * T1^-1, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 10, 106, 27, 123, 53, 149, 77, 173, 91, 187, 80, 176, 60, 156, 36, 132, 16, 112, 5, 101)(2, 98, 7, 103, 20, 116, 41, 137, 67, 163, 85, 181, 94, 190, 88, 184, 72, 168, 48, 144, 24, 120, 8, 104)(4, 100, 12, 108, 30, 126, 54, 150, 76, 172, 90, 186, 95, 191, 89, 185, 75, 171, 57, 153, 31, 127, 13, 109)(6, 102, 17, 113, 37, 133, 61, 157, 81, 177, 92, 188, 96, 192, 93, 189, 82, 178, 62, 158, 38, 134, 18, 114)(9, 105, 22, 118, 44, 140, 66, 162, 40, 136, 63, 159, 83, 179, 79, 175, 59, 155, 34, 130, 51, 147, 25, 121)(11, 107, 23, 119, 45, 141, 68, 164, 42, 138, 64, 160, 84, 180, 78, 174, 58, 154, 35, 131, 56, 152, 29, 125)(14, 110, 32, 128, 52, 148, 26, 122, 49, 145, 73, 169, 86, 182, 70, 166, 47, 143, 69, 165, 43, 139, 21, 117)(15, 111, 33, 129, 55, 151, 28, 124, 50, 146, 74, 170, 87, 183, 71, 167, 46, 142, 65, 161, 39, 135, 19, 115)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 100)(7, 115)(8, 118)(9, 113)(10, 122)(11, 99)(12, 117)(13, 119)(14, 114)(15, 101)(16, 130)(17, 107)(18, 111)(19, 108)(20, 136)(21, 103)(22, 109)(23, 104)(24, 142)(25, 145)(26, 133)(27, 137)(28, 106)(29, 146)(30, 138)(31, 143)(32, 154)(33, 155)(34, 134)(35, 112)(36, 144)(37, 124)(38, 131)(39, 159)(40, 126)(41, 157)(42, 116)(43, 160)(44, 166)(45, 167)(46, 127)(47, 120)(48, 158)(49, 125)(50, 121)(51, 171)(52, 163)(53, 162)(54, 123)(55, 172)(56, 168)(57, 132)(58, 129)(59, 128)(60, 165)(61, 150)(62, 153)(63, 139)(64, 135)(65, 156)(66, 177)(67, 151)(68, 149)(69, 178)(70, 141)(71, 140)(72, 147)(73, 184)(74, 185)(75, 152)(76, 148)(77, 182)(78, 181)(79, 186)(80, 179)(81, 164)(82, 161)(83, 189)(84, 176)(85, 175)(86, 188)(87, 173)(88, 170)(89, 169)(90, 174)(91, 190)(92, 183)(93, 180)(94, 192)(95, 187)(96, 191)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1743
Transitivity :: ET+ VT+ AT
Graph::
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.1748 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 12})
Quotient :: loop
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ F^2, T2^3, (F * T1)^2, (F * T2)^2, T1 * T2^-1 * T1 * T2 * T1^2 * T2, T1^2 * T2 * T1^-3 * T2^-1 * T1, (T2^-1 * T1^-1)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99, 5, 101)(2, 98, 7, 103, 8, 104)(4, 100, 11, 107, 13, 109)(6, 102, 17, 113, 18, 114)(9, 105, 24, 120, 25, 121)(10, 106, 26, 122, 28, 124)(12, 108, 31, 127, 33, 129)(14, 110, 37, 133, 38, 134)(15, 111, 39, 135, 41, 137)(16, 112, 43, 139, 44, 140)(19, 115, 48, 144, 35, 131)(20, 116, 49, 145, 51, 147)(21, 117, 40, 136, 53, 149)(22, 118, 54, 150, 56, 152)(23, 119, 30, 126, 57, 153)(27, 123, 62, 158, 64, 160)(29, 125, 58, 154, 66, 162)(32, 128, 63, 159, 70, 166)(34, 130, 59, 155, 71, 167)(36, 132, 61, 157, 72, 168)(42, 138, 65, 161, 74, 170)(45, 141, 68, 164, 76, 172)(46, 142, 55, 151, 78, 174)(47, 143, 79, 175, 80, 176)(50, 146, 82, 178, 83, 179)(52, 148, 81, 177, 85, 181)(60, 156, 73, 169, 69, 165)(67, 163, 89, 185, 90, 186)(75, 171, 84, 180, 86, 182)(77, 173, 91, 187, 95, 191)(87, 183, 88, 184, 92, 188)(93, 189, 94, 190, 96, 192)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 115)(8, 117)(9, 119)(10, 99)(11, 125)(12, 100)(13, 130)(14, 132)(15, 101)(16, 138)(17, 135)(18, 142)(19, 124)(20, 103)(21, 148)(22, 104)(23, 139)(24, 144)(25, 129)(26, 156)(27, 106)(28, 161)(29, 141)(30, 107)(31, 146)(32, 108)(33, 151)(34, 143)(35, 109)(36, 140)(37, 131)(38, 160)(39, 147)(40, 111)(41, 152)(42, 171)(43, 150)(44, 167)(45, 113)(46, 173)(47, 114)(48, 137)(49, 159)(50, 116)(51, 180)(52, 170)(53, 179)(54, 172)(55, 118)(56, 176)(57, 183)(58, 120)(59, 121)(60, 163)(61, 122)(62, 178)(63, 123)(64, 184)(65, 175)(66, 166)(67, 126)(68, 127)(69, 128)(70, 136)(71, 186)(72, 181)(73, 133)(74, 134)(75, 189)(76, 190)(77, 182)(78, 162)(79, 153)(80, 168)(81, 145)(82, 154)(83, 169)(84, 157)(85, 191)(86, 149)(87, 187)(88, 155)(89, 158)(90, 192)(91, 164)(92, 165)(93, 188)(94, 177)(95, 185)(96, 174)
	local type(s) :: { ( 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1744
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.1749 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y1^3, Y2^4, Y2^4, (R * Y3)^2, Y2^4, (R * Y1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2^2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1, Y3^2 * Y2^-1 * Y3 * Y2^-1 * Y3^2 * Y2^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * 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, 16, 112, 22, 118)(11, 107, 25, 121, 26, 122)(12, 108, 27, 123, 28, 124)(20, 116, 33, 129, 34, 130)(21, 117, 35, 131, 36, 132)(23, 119, 37, 133, 38, 134)(24, 120, 39, 135, 40, 136)(29, 125, 45, 141, 46, 142)(30, 126, 47, 143, 48, 144)(31, 127, 49, 145, 50, 146)(32, 128, 51, 147, 52, 148)(41, 137, 61, 157, 62, 158)(42, 138, 63, 159, 64, 160)(43, 139, 65, 161, 66, 162)(44, 140, 67, 163, 68, 164)(53, 149, 69, 165, 77, 173)(54, 150, 70, 166, 78, 174)(55, 151, 79, 175, 80, 176)(56, 152, 81, 177, 82, 178)(57, 153, 71, 167, 83, 179)(58, 154, 72, 168, 84, 180)(59, 155, 75, 171, 85, 181)(60, 156, 76, 172, 86, 182)(73, 169, 87, 183, 89, 185)(74, 170, 88, 184, 90, 186)(91, 187, 93, 189, 95, 191)(92, 188, 94, 190, 96, 192)(193, 289, 195, 291, 201, 297, 197, 293)(194, 290, 198, 294, 208, 304, 199, 295)(196, 292, 203, 299, 214, 310, 204, 300)(200, 296, 212, 308, 205, 301, 213, 309)(202, 298, 215, 311, 206, 302, 216, 312)(207, 303, 221, 317, 210, 306, 222, 318)(209, 305, 223, 319, 211, 307, 224, 320)(217, 313, 233, 329, 219, 315, 234, 330)(218, 314, 235, 331, 220, 316, 236, 332)(225, 321, 245, 341, 227, 323, 246, 342)(226, 322, 247, 343, 228, 324, 248, 344)(229, 325, 249, 345, 231, 327, 250, 346)(230, 326, 251, 347, 232, 328, 252, 348)(237, 333, 261, 357, 239, 335, 262, 358)(238, 334, 263, 359, 240, 336, 264, 360)(241, 337, 265, 361, 243, 339, 266, 362)(242, 338, 267, 363, 244, 340, 268, 364)(253, 349, 269, 365, 255, 351, 270, 366)(254, 350, 279, 375, 256, 352, 280, 376)(257, 353, 272, 368, 259, 355, 274, 370)(258, 354, 277, 373, 260, 356, 278, 374)(271, 367, 283, 379, 273, 369, 284, 380)(275, 371, 285, 381, 276, 372, 286, 382)(281, 377, 287, 383, 282, 378, 288, 384)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 209)(7, 211)(8, 195)(9, 214)(10, 200)(11, 218)(12, 220)(13, 197)(14, 205)(15, 198)(16, 201)(17, 207)(18, 199)(19, 210)(20, 226)(21, 228)(22, 208)(23, 230)(24, 232)(25, 203)(26, 217)(27, 204)(28, 219)(29, 238)(30, 240)(31, 242)(32, 244)(33, 212)(34, 225)(35, 213)(36, 227)(37, 215)(38, 229)(39, 216)(40, 231)(41, 254)(42, 256)(43, 258)(44, 260)(45, 221)(46, 237)(47, 222)(48, 239)(49, 223)(50, 241)(51, 224)(52, 243)(53, 269)(54, 270)(55, 272)(56, 274)(57, 275)(58, 276)(59, 277)(60, 278)(61, 233)(62, 253)(63, 234)(64, 255)(65, 235)(66, 257)(67, 236)(68, 259)(69, 245)(70, 246)(71, 249)(72, 250)(73, 281)(74, 282)(75, 251)(76, 252)(77, 261)(78, 262)(79, 247)(80, 271)(81, 248)(82, 273)(83, 263)(84, 264)(85, 267)(86, 268)(87, 265)(88, 266)(89, 279)(90, 280)(91, 287)(92, 288)(93, 283)(94, 284)(95, 285)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1752
Graph:: bipartite
	v = 56 e = 192 f = 104
	degree seq :: [ 6^32, 8^24 ]

E17.1750 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^3 * Y1 * Y2^-3 * Y1^-1, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 26, 122, 37, 133, 28, 124)(16, 112, 34, 130, 38, 134, 35, 131)(20, 116, 40, 136, 30, 126, 42, 138)(24, 120, 46, 142, 31, 127, 47, 143)(25, 121, 49, 145, 29, 125, 50, 146)(27, 123, 41, 137, 61, 157, 54, 150)(32, 128, 58, 154, 33, 129, 59, 155)(36, 132, 48, 144, 62, 158, 57, 153)(39, 135, 63, 159, 43, 139, 64, 160)(44, 140, 70, 166, 45, 141, 71, 167)(51, 147, 75, 171, 56, 152, 72, 168)(52, 148, 67, 163, 55, 151, 76, 172)(53, 149, 66, 162, 81, 177, 68, 164)(60, 156, 69, 165, 82, 178, 65, 161)(73, 169, 88, 184, 74, 170, 89, 185)(77, 173, 86, 182, 92, 188, 87, 183)(78, 174, 85, 181, 79, 175, 90, 186)(80, 176, 83, 179, 93, 189, 84, 180)(91, 187, 94, 190, 96, 192, 95, 191)(193, 289, 195, 291, 202, 298, 219, 315, 245, 341, 269, 365, 283, 379, 272, 368, 252, 348, 228, 324, 208, 304, 197, 293)(194, 290, 199, 295, 212, 308, 233, 329, 259, 355, 277, 373, 286, 382, 280, 376, 264, 360, 240, 336, 216, 312, 200, 296)(196, 292, 204, 300, 222, 318, 246, 342, 268, 364, 282, 378, 287, 383, 281, 377, 267, 363, 249, 345, 223, 319, 205, 301)(198, 294, 209, 305, 229, 325, 253, 349, 273, 369, 284, 380, 288, 384, 285, 381, 274, 370, 254, 350, 230, 326, 210, 306)(201, 297, 214, 310, 236, 332, 258, 354, 232, 328, 255, 351, 275, 371, 271, 367, 251, 347, 226, 322, 243, 339, 217, 313)(203, 299, 215, 311, 237, 333, 260, 356, 234, 330, 256, 352, 276, 372, 270, 366, 250, 346, 227, 323, 248, 344, 221, 317)(206, 302, 224, 320, 244, 340, 218, 314, 241, 337, 265, 361, 278, 374, 262, 358, 239, 335, 261, 357, 235, 331, 213, 309)(207, 303, 225, 321, 247, 343, 220, 316, 242, 338, 266, 362, 279, 375, 263, 359, 238, 334, 257, 353, 231, 327, 211, 307)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 214)(10, 219)(11, 215)(12, 222)(13, 196)(14, 224)(15, 225)(16, 197)(17, 229)(18, 198)(19, 207)(20, 233)(21, 206)(22, 236)(23, 237)(24, 200)(25, 201)(26, 241)(27, 245)(28, 242)(29, 203)(30, 246)(31, 205)(32, 244)(33, 247)(34, 243)(35, 248)(36, 208)(37, 253)(38, 210)(39, 211)(40, 255)(41, 259)(42, 256)(43, 213)(44, 258)(45, 260)(46, 257)(47, 261)(48, 216)(49, 265)(50, 266)(51, 217)(52, 218)(53, 269)(54, 268)(55, 220)(56, 221)(57, 223)(58, 227)(59, 226)(60, 228)(61, 273)(62, 230)(63, 275)(64, 276)(65, 231)(66, 232)(67, 277)(68, 234)(69, 235)(70, 239)(71, 238)(72, 240)(73, 278)(74, 279)(75, 249)(76, 282)(77, 283)(78, 250)(79, 251)(80, 252)(81, 284)(82, 254)(83, 271)(84, 270)(85, 286)(86, 262)(87, 263)(88, 264)(89, 267)(90, 287)(91, 272)(92, 288)(93, 274)(94, 280)(95, 281)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1751
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 8^24, 24^8 ]

E17.1751 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-2 * Y2, Y3^2 * Y2^-1 * Y3^-3 * Y2 * Y3, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290, 196, 292)(195, 291, 200, 296, 202, 298)(197, 293, 205, 301, 206, 302)(198, 294, 208, 304, 210, 306)(199, 295, 211, 307, 212, 308)(201, 297, 216, 312, 218, 314)(203, 299, 221, 317, 223, 319)(204, 300, 224, 320, 225, 321)(207, 303, 231, 327, 232, 328)(209, 305, 236, 332, 238, 334)(213, 309, 214, 310, 243, 339)(215, 311, 240, 336, 246, 342)(217, 313, 237, 333, 251, 347)(219, 315, 228, 324, 241, 337)(220, 316, 242, 338, 253, 349)(222, 318, 256, 352, 230, 326)(226, 322, 234, 330, 260, 356)(227, 323, 262, 358, 255, 351)(229, 325, 263, 359, 257, 353)(233, 329, 244, 340, 261, 357)(235, 331, 258, 354, 250, 346)(239, 335, 259, 355, 266, 362)(245, 341, 268, 364, 273, 369)(247, 343, 248, 344, 275, 371)(249, 345, 269, 365, 277, 373)(252, 348, 274, 370, 265, 361)(254, 350, 271, 367, 279, 375)(264, 360, 282, 378, 281, 377)(267, 363, 280, 376, 284, 380)(270, 366, 278, 374, 272, 368)(276, 372, 285, 381, 283, 379)(286, 382, 288, 384, 287, 383)
	L = (1, 195)(2, 198)(3, 201)(4, 203)(5, 193)(6, 209)(7, 194)(8, 214)(9, 217)(10, 219)(11, 222)(12, 196)(13, 227)(14, 229)(15, 197)(16, 234)(17, 237)(18, 228)(19, 240)(20, 242)(21, 199)(22, 245)(23, 200)(24, 248)(25, 250)(26, 212)(27, 224)(28, 202)(29, 231)(30, 251)(31, 241)(32, 258)(33, 259)(34, 204)(35, 249)(36, 205)(37, 252)(38, 206)(39, 247)(40, 254)(41, 207)(42, 267)(43, 208)(44, 268)(45, 262)(46, 225)(47, 210)(48, 269)(49, 211)(50, 270)(51, 271)(52, 213)(53, 235)(54, 274)(55, 215)(56, 276)(57, 216)(58, 278)(59, 246)(60, 218)(61, 261)(62, 220)(63, 221)(64, 280)(65, 223)(66, 277)(67, 264)(68, 279)(69, 226)(70, 282)(71, 244)(72, 230)(73, 232)(74, 233)(75, 255)(76, 285)(77, 236)(78, 238)(79, 239)(80, 243)(81, 253)(82, 286)(83, 263)(84, 272)(85, 256)(86, 288)(87, 257)(88, 283)(89, 260)(90, 287)(91, 265)(92, 266)(93, 281)(94, 273)(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, 24 ), ( 8, 24, 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1750
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.1752 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1, Y1^2 * Y3 * Y1^-3 * Y3^-1 * Y1, (Y3^-1 * Y1^-1)^4, Y1^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 16, 112, 42, 138, 75, 171, 93, 189, 92, 188, 69, 165, 32, 128, 12, 108, 4, 100)(3, 99, 9, 105, 23, 119, 43, 139, 54, 150, 76, 172, 94, 190, 81, 177, 49, 145, 63, 159, 27, 123, 10, 106)(5, 101, 14, 110, 36, 132, 44, 140, 71, 167, 90, 186, 96, 192, 78, 174, 66, 162, 70, 166, 40, 136, 15, 111)(7, 103, 19, 115, 28, 124, 65, 161, 79, 175, 57, 153, 87, 183, 91, 187, 68, 164, 31, 127, 50, 146, 20, 116)(8, 104, 21, 117, 52, 148, 74, 170, 38, 134, 64, 160, 88, 184, 59, 155, 25, 121, 33, 129, 55, 151, 22, 118)(11, 107, 29, 125, 45, 141, 17, 113, 39, 135, 51, 147, 84, 180, 61, 157, 26, 122, 60, 156, 67, 163, 30, 126)(13, 109, 34, 130, 47, 143, 18, 114, 46, 142, 77, 173, 86, 182, 53, 149, 83, 179, 73, 169, 37, 133, 35, 131)(24, 120, 48, 144, 41, 137, 56, 152, 80, 176, 72, 168, 85, 181, 95, 191, 89, 185, 62, 158, 82, 178, 58, 154)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 197)(4, 203)(5, 193)(6, 209)(7, 200)(8, 194)(9, 216)(10, 218)(11, 205)(12, 223)(13, 196)(14, 229)(15, 231)(16, 235)(17, 210)(18, 198)(19, 240)(20, 241)(21, 232)(22, 246)(23, 222)(24, 217)(25, 201)(26, 220)(27, 254)(28, 202)(29, 250)(30, 249)(31, 225)(32, 255)(33, 204)(34, 251)(35, 211)(36, 253)(37, 230)(38, 206)(39, 233)(40, 245)(41, 207)(42, 257)(43, 236)(44, 208)(45, 260)(46, 247)(47, 271)(48, 227)(49, 243)(50, 274)(51, 212)(52, 273)(53, 213)(54, 248)(55, 270)(56, 214)(57, 215)(58, 258)(59, 263)(60, 265)(61, 264)(62, 256)(63, 262)(64, 219)(65, 266)(66, 221)(67, 281)(68, 268)(69, 252)(70, 224)(71, 226)(72, 228)(73, 261)(74, 234)(75, 276)(76, 237)(77, 283)(78, 238)(79, 272)(80, 239)(81, 277)(82, 275)(83, 242)(84, 278)(85, 244)(86, 267)(87, 280)(88, 284)(89, 282)(90, 259)(91, 287)(92, 279)(93, 286)(94, 288)(95, 269)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1749
Graph:: simple bipartite
	v = 104 e = 192 f = 56
	degree seq :: [ 2^96, 24^8 ]

E17.1753 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^3, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-1, Y1 * Y2^2 * Y1 * Y2 * Y1^-1 * Y2, Y3 * Y2^3 * Y3^-1 * Y2^-3, Y2^-3 * Y1^-1 * Y2^3 * Y1, (Y2^-2 * R * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^2 * Y3 * Y2^2 * Y3 * Y2^2 * Y1^-1 * Y2^2 * Y1^-1, Y2^12 ]
Map::
	R = (1, 97, 2, 98, 4, 100)(3, 99, 8, 104, 10, 106)(5, 101, 13, 109, 14, 110)(6, 102, 16, 112, 18, 114)(7, 103, 19, 115, 20, 116)(9, 105, 24, 120, 26, 122)(11, 107, 29, 125, 31, 127)(12, 108, 32, 128, 33, 129)(15, 111, 39, 135, 40, 136)(17, 113, 36, 132, 45, 141)(21, 117, 50, 146, 51, 147)(22, 118, 42, 138, 38, 134)(23, 119, 53, 149, 54, 150)(25, 121, 44, 140, 58, 154)(27, 123, 34, 130, 62, 158)(28, 124, 63, 159, 64, 160)(30, 126, 48, 144, 67, 163)(35, 131, 43, 139, 70, 166)(37, 133, 46, 142, 72, 168)(41, 137, 52, 148, 69, 165)(47, 143, 66, 162, 74, 170)(49, 145, 68, 164, 57, 153)(55, 151, 75, 171, 82, 178)(56, 152, 73, 169, 83, 179)(59, 155, 65, 161, 86, 182)(60, 156, 77, 173, 87, 183)(61, 157, 81, 177, 88, 184)(71, 167, 80, 176, 90, 186)(76, 172, 78, 174, 92, 188)(79, 175, 89, 185, 84, 180)(85, 181, 91, 187, 93, 189)(94, 190, 96, 192, 95, 191)(193, 289, 195, 291, 201, 297, 217, 313, 249, 345, 276, 372, 287, 383, 284, 380, 266, 362, 233, 329, 207, 303, 197, 293)(194, 290, 198, 294, 209, 305, 236, 332, 255, 351, 275, 371, 286, 382, 273, 369, 245, 341, 244, 340, 213, 309, 199, 295)(196, 292, 203, 299, 222, 318, 250, 346, 264, 360, 282, 378, 288, 384, 278, 374, 262, 358, 261, 357, 226, 322, 204, 300)(200, 296, 214, 310, 212, 308, 241, 337, 269, 365, 237, 333, 268, 364, 283, 379, 265, 361, 231, 327, 247, 343, 215, 311)(202, 298, 219, 315, 253, 349, 260, 356, 223, 319, 243, 339, 270, 366, 238, 334, 210, 306, 232, 328, 257, 353, 220, 316)(205, 301, 227, 323, 248, 344, 216, 312, 224, 320, 246, 342, 271, 367, 240, 336, 211, 307, 239, 335, 263, 359, 228, 324)(206, 302, 229, 325, 252, 348, 218, 314, 251, 347, 277, 373, 281, 377, 254, 350, 274, 370, 258, 354, 221, 317, 230, 326)(208, 304, 234, 330, 225, 321, 256, 352, 279, 375, 259, 355, 280, 376, 285, 381, 272, 368, 242, 338, 267, 363, 235, 331)
	L = (1, 196)(2, 193)(3, 202)(4, 194)(5, 206)(6, 210)(7, 212)(8, 195)(9, 218)(10, 200)(11, 223)(12, 225)(13, 197)(14, 205)(15, 232)(16, 198)(17, 237)(18, 208)(19, 199)(20, 211)(21, 243)(22, 230)(23, 246)(24, 201)(25, 250)(26, 216)(27, 254)(28, 256)(29, 203)(30, 259)(31, 221)(32, 204)(33, 224)(34, 219)(35, 262)(36, 209)(37, 264)(38, 234)(39, 207)(40, 231)(41, 261)(42, 214)(43, 227)(44, 217)(45, 228)(46, 229)(47, 266)(48, 222)(49, 249)(50, 213)(51, 242)(52, 233)(53, 215)(54, 245)(55, 274)(56, 275)(57, 260)(58, 236)(59, 278)(60, 279)(61, 280)(62, 226)(63, 220)(64, 255)(65, 251)(66, 239)(67, 240)(68, 241)(69, 244)(70, 235)(71, 282)(72, 238)(73, 248)(74, 258)(75, 247)(76, 284)(77, 252)(78, 268)(79, 276)(80, 263)(81, 253)(82, 267)(83, 265)(84, 281)(85, 285)(86, 257)(87, 269)(88, 273)(89, 271)(90, 272)(91, 277)(92, 270)(93, 283)(94, 287)(95, 288)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 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 E17.1754
Graph:: bipartite
	v = 40 e = 192 f = 120
	degree seq :: [ 6^32, 24^8 ]

E17.1754 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 12})
Quotient :: dipole
Aut^+ = C4 x SL(2,3) (small group id <96, 69>)
Aut   = $<192, 952>$ (small group id <192, 952>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3^3 * Y1 * Y3^-3 * Y1^-1, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 97, 2, 98, 6, 102, 4, 100)(3, 99, 9, 105, 17, 113, 11, 107)(5, 101, 14, 110, 18, 114, 15, 111)(7, 103, 19, 115, 12, 108, 21, 117)(8, 104, 22, 118, 13, 109, 23, 119)(10, 106, 26, 122, 37, 133, 28, 124)(16, 112, 34, 130, 38, 134, 35, 131)(20, 116, 40, 136, 30, 126, 42, 138)(24, 120, 46, 142, 31, 127, 47, 143)(25, 121, 49, 145, 29, 125, 50, 146)(27, 123, 41, 137, 61, 157, 54, 150)(32, 128, 58, 154, 33, 129, 59, 155)(36, 132, 48, 144, 62, 158, 57, 153)(39, 135, 63, 159, 43, 139, 64, 160)(44, 140, 70, 166, 45, 141, 71, 167)(51, 147, 75, 171, 56, 152, 72, 168)(52, 148, 67, 163, 55, 151, 76, 172)(53, 149, 66, 162, 81, 177, 68, 164)(60, 156, 69, 165, 82, 178, 65, 161)(73, 169, 88, 184, 74, 170, 89, 185)(77, 173, 86, 182, 92, 188, 87, 183)(78, 174, 85, 181, 79, 175, 90, 186)(80, 176, 83, 179, 93, 189, 84, 180)(91, 187, 94, 190, 96, 192, 95, 191)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 212)(8, 194)(9, 214)(10, 219)(11, 215)(12, 222)(13, 196)(14, 224)(15, 225)(16, 197)(17, 229)(18, 198)(19, 207)(20, 233)(21, 206)(22, 236)(23, 237)(24, 200)(25, 201)(26, 241)(27, 245)(28, 242)(29, 203)(30, 246)(31, 205)(32, 244)(33, 247)(34, 243)(35, 248)(36, 208)(37, 253)(38, 210)(39, 211)(40, 255)(41, 259)(42, 256)(43, 213)(44, 258)(45, 260)(46, 257)(47, 261)(48, 216)(49, 265)(50, 266)(51, 217)(52, 218)(53, 269)(54, 268)(55, 220)(56, 221)(57, 223)(58, 227)(59, 226)(60, 228)(61, 273)(62, 230)(63, 275)(64, 276)(65, 231)(66, 232)(67, 277)(68, 234)(69, 235)(70, 239)(71, 238)(72, 240)(73, 278)(74, 279)(75, 249)(76, 282)(77, 283)(78, 250)(79, 251)(80, 252)(81, 284)(82, 254)(83, 271)(84, 270)(85, 286)(86, 262)(87, 263)(88, 264)(89, 267)(90, 287)(91, 272)(92, 288)(93, 274)(94, 280)(95, 281)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 6, 24 ), ( 6, 24, 6, 24, 6, 24, 6, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1753
Graph:: simple bipartite
	v = 120 e = 192 f = 40
	degree seq :: [ 2^96, 8^24 ]

E17.1755 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C3 x (((C4 x C2) : C2) : C2) (small group id <96, 49>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, T1^-3 * T2 * T1^4 * T2 * T1^-1, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 67, 44, 22, 10, 4)(3, 7, 15, 31, 46, 70, 86, 80, 63, 37, 18, 8)(6, 13, 27, 53, 69, 85, 83, 66, 43, 58, 30, 14)(9, 19, 38, 48, 24, 47, 71, 88, 81, 64, 40, 20)(12, 25, 49, 73, 84, 82, 65, 42, 21, 41, 52, 26)(16, 33, 50, 75, 87, 96, 93, 79, 62, 39, 56, 29)(17, 34, 51, 28, 55, 72, 90, 94, 91, 77, 60, 35)(32, 54, 74, 89, 95, 92, 78, 61, 36, 57, 76, 59)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 55)(33, 48)(35, 58)(37, 62)(38, 59)(40, 61)(41, 56)(42, 60)(44, 63)(45, 69)(47, 72)(49, 74)(52, 76)(53, 75)(64, 77)(65, 78)(66, 79)(67, 81)(68, 84)(70, 87)(71, 89)(73, 90)(80, 91)(82, 93)(83, 92)(85, 94)(86, 95)(88, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.1756 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C3 x (((C4 x C2) : C2) : C2) (small group id <96, 49>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2 * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1, T2^4 * T1 * T2^-4 * T1, (T2^-2 * T1 * T2^2 * T1)^2, T2^12 ]
Map::
	R = (1, 3, 8, 18, 37, 63, 80, 67, 44, 22, 10, 4)(2, 5, 12, 26, 51, 72, 87, 76, 58, 30, 14, 6)(7, 15, 32, 59, 77, 91, 83, 66, 43, 53, 33, 16)(9, 19, 38, 45, 36, 62, 79, 93, 81, 64, 40, 20)(11, 23, 46, 68, 84, 94, 90, 75, 57, 39, 47, 24)(13, 27, 52, 31, 50, 71, 86, 96, 88, 73, 54, 28)(17, 34, 60, 78, 92, 82, 65, 42, 21, 41, 61, 35)(25, 48, 69, 85, 95, 89, 74, 56, 29, 55, 70, 49)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 120)(114, 132)(115, 123)(116, 135)(118, 139)(119, 141)(122, 146)(124, 149)(126, 153)(128, 144)(129, 151)(130, 142)(131, 148)(133, 147)(134, 145)(136, 152)(137, 143)(138, 150)(140, 154)(155, 164)(156, 165)(157, 166)(158, 167)(159, 173)(160, 169)(161, 170)(162, 171)(163, 177)(168, 180)(172, 184)(174, 182)(175, 181)(176, 188)(178, 186)(179, 185)(183, 191)(187, 192)(189, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1757
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.1757 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C3 x (((C4 x C2) : C2) : C2) (small group id <96, 49>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2 * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1, T2^4 * T1 * T2^-4 * T1, (T2^-2 * T1 * T2^2 * T1)^2, T2^12 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 37, 133, 63, 159, 80, 176, 67, 163, 44, 140, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 51, 147, 72, 168, 87, 183, 76, 172, 58, 154, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 59, 155, 77, 173, 91, 187, 83, 179, 66, 162, 43, 139, 53, 149, 33, 129, 16, 112)(9, 105, 19, 115, 38, 134, 45, 141, 36, 132, 62, 158, 79, 175, 93, 189, 81, 177, 64, 160, 40, 136, 20, 116)(11, 107, 23, 119, 46, 142, 68, 164, 84, 180, 94, 190, 90, 186, 75, 171, 57, 153, 39, 135, 47, 143, 24, 120)(13, 109, 27, 123, 52, 148, 31, 127, 50, 146, 71, 167, 86, 182, 96, 192, 88, 184, 73, 169, 54, 150, 28, 124)(17, 113, 34, 130, 60, 156, 78, 174, 92, 188, 82, 178, 65, 161, 42, 138, 21, 117, 41, 137, 61, 157, 35, 131)(25, 121, 48, 144, 69, 165, 85, 181, 95, 191, 89, 185, 74, 170, 56, 152, 29, 125, 55, 151, 70, 166, 49, 145)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 120)(17, 104)(18, 132)(19, 123)(20, 135)(21, 106)(22, 139)(23, 141)(24, 112)(25, 108)(26, 146)(27, 115)(28, 149)(29, 110)(30, 153)(31, 111)(32, 144)(33, 151)(34, 142)(35, 148)(36, 114)(37, 147)(38, 145)(39, 116)(40, 152)(41, 143)(42, 150)(43, 118)(44, 154)(45, 119)(46, 130)(47, 137)(48, 128)(49, 134)(50, 122)(51, 133)(52, 131)(53, 124)(54, 138)(55, 129)(56, 136)(57, 126)(58, 140)(59, 164)(60, 165)(61, 166)(62, 167)(63, 173)(64, 169)(65, 170)(66, 171)(67, 177)(68, 155)(69, 156)(70, 157)(71, 158)(72, 180)(73, 160)(74, 161)(75, 162)(76, 184)(77, 159)(78, 182)(79, 181)(80, 188)(81, 163)(82, 186)(83, 185)(84, 168)(85, 175)(86, 174)(87, 191)(88, 172)(89, 179)(90, 178)(91, 192)(92, 176)(93, 190)(94, 189)(95, 183)(96, 187)
	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 E17.1756
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.1758 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C2) : C2) : C2) (small group id <96, 49>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * R * Y2 * R, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * R * Y2^-1 * R * Y2^-1 * Y1, Y2^-4 * Y1 * Y2^4 * Y1, Y2^-1 * Y1 * Y2 * Y1 * Y2 * R * Y2^-1 * R * Y2^-2, Y2 * Y1 * Y2 * R * Y2^3 * R * Y2 * Y1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 24, 120)(18, 114, 36, 132)(19, 115, 27, 123)(20, 116, 39, 135)(22, 118, 43, 139)(23, 119, 45, 141)(26, 122, 50, 146)(28, 124, 53, 149)(30, 126, 57, 153)(32, 128, 48, 144)(33, 129, 55, 151)(34, 130, 46, 142)(35, 131, 52, 148)(37, 133, 51, 147)(38, 134, 49, 145)(40, 136, 56, 152)(41, 137, 47, 143)(42, 138, 54, 150)(44, 140, 58, 154)(59, 155, 68, 164)(60, 156, 69, 165)(61, 157, 70, 166)(62, 158, 71, 167)(63, 159, 77, 173)(64, 160, 73, 169)(65, 161, 74, 170)(66, 162, 75, 171)(67, 163, 81, 177)(72, 168, 84, 180)(76, 172, 88, 184)(78, 174, 86, 182)(79, 175, 85, 181)(80, 176, 92, 188)(82, 178, 90, 186)(83, 179, 89, 185)(87, 183, 95, 191)(91, 187, 96, 192)(93, 189, 94, 190)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 255, 351, 272, 368, 259, 355, 236, 332, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 243, 339, 264, 360, 279, 375, 268, 364, 250, 346, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 251, 347, 269, 365, 283, 379, 275, 371, 258, 354, 235, 331, 245, 341, 225, 321, 208, 304)(201, 297, 211, 307, 230, 326, 237, 333, 228, 324, 254, 350, 271, 367, 285, 381, 273, 369, 256, 352, 232, 328, 212, 308)(203, 299, 215, 311, 238, 334, 260, 356, 276, 372, 286, 382, 282, 378, 267, 363, 249, 345, 231, 327, 239, 335, 216, 312)(205, 301, 219, 315, 244, 340, 223, 319, 242, 338, 263, 359, 278, 374, 288, 384, 280, 376, 265, 361, 246, 342, 220, 316)(209, 305, 226, 322, 252, 348, 270, 366, 284, 380, 274, 370, 257, 353, 234, 330, 213, 309, 233, 329, 253, 349, 227, 323)(217, 313, 240, 336, 261, 357, 277, 373, 287, 383, 281, 377, 266, 362, 248, 344, 221, 317, 247, 343, 262, 358, 241, 337)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 216)(17, 200)(18, 228)(19, 219)(20, 231)(21, 202)(22, 235)(23, 237)(24, 208)(25, 204)(26, 242)(27, 211)(28, 245)(29, 206)(30, 249)(31, 207)(32, 240)(33, 247)(34, 238)(35, 244)(36, 210)(37, 243)(38, 241)(39, 212)(40, 248)(41, 239)(42, 246)(43, 214)(44, 250)(45, 215)(46, 226)(47, 233)(48, 224)(49, 230)(50, 218)(51, 229)(52, 227)(53, 220)(54, 234)(55, 225)(56, 232)(57, 222)(58, 236)(59, 260)(60, 261)(61, 262)(62, 263)(63, 269)(64, 265)(65, 266)(66, 267)(67, 273)(68, 251)(69, 252)(70, 253)(71, 254)(72, 276)(73, 256)(74, 257)(75, 258)(76, 280)(77, 255)(78, 278)(79, 277)(80, 284)(81, 259)(82, 282)(83, 281)(84, 264)(85, 271)(86, 270)(87, 287)(88, 268)(89, 275)(90, 274)(91, 288)(92, 272)(93, 286)(94, 285)(95, 279)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 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 E17.1759
Graph:: bipartite
	v = 56 e = 192 f = 104
	degree seq :: [ 4^48, 24^8 ]

E17.1759 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C3 x (((C4 x C2) : C2) : C2) (small group id <96, 49>)
Aut   = $<192, 300>$ (small group id <192, 300>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y1^12, (Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y3 * Y1^-3)^4 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 45, 141, 68, 164, 67, 163, 44, 140, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 46, 142, 70, 166, 86, 182, 80, 176, 63, 159, 37, 133, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 53, 149, 69, 165, 85, 181, 83, 179, 66, 162, 43, 139, 58, 154, 30, 126, 14, 110)(9, 105, 19, 115, 38, 134, 48, 144, 24, 120, 47, 143, 71, 167, 88, 184, 81, 177, 64, 160, 40, 136, 20, 116)(12, 108, 25, 121, 49, 145, 73, 169, 84, 180, 82, 178, 65, 161, 42, 138, 21, 117, 41, 137, 52, 148, 26, 122)(16, 112, 33, 129, 50, 146, 75, 171, 87, 183, 96, 192, 93, 189, 79, 175, 62, 158, 39, 135, 56, 152, 29, 125)(17, 113, 34, 130, 51, 147, 28, 124, 55, 151, 72, 168, 90, 186, 94, 190, 91, 187, 77, 173, 60, 156, 35, 131)(32, 128, 54, 150, 74, 170, 89, 185, 95, 191, 92, 188, 78, 174, 61, 157, 36, 132, 57, 153, 76, 172, 59, 155)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 228)(19, 226)(20, 231)(21, 202)(22, 235)(23, 238)(24, 203)(25, 242)(26, 243)(27, 246)(28, 205)(29, 206)(30, 249)(31, 247)(32, 207)(33, 240)(34, 211)(35, 250)(36, 210)(37, 254)(38, 251)(39, 212)(40, 253)(41, 248)(42, 252)(43, 214)(44, 255)(45, 261)(46, 215)(47, 264)(48, 225)(49, 266)(50, 217)(51, 218)(52, 268)(53, 267)(54, 219)(55, 223)(56, 233)(57, 222)(58, 227)(59, 230)(60, 234)(61, 232)(62, 229)(63, 236)(64, 269)(65, 270)(66, 271)(67, 273)(68, 276)(69, 237)(70, 279)(71, 281)(72, 239)(73, 282)(74, 241)(75, 245)(76, 244)(77, 256)(78, 257)(79, 258)(80, 283)(81, 259)(82, 285)(83, 284)(84, 260)(85, 286)(86, 287)(87, 262)(88, 288)(89, 263)(90, 265)(91, 272)(92, 275)(93, 274)(94, 277)(95, 278)(96, 280)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1758
Graph:: simple bipartite
	v = 104 e = 192 f = 56
	degree seq :: [ 2^96, 24^8 ]

E17.1760 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = C2 x C4 x A4 (small group id <96, 196>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-3 * T2 * T1^3 * T2, (T2 * T1 * T2 * T1^-1)^2, T1^12, (T1^-1 * T2)^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 41, 61, 60, 40, 22, 10, 4)(3, 7, 15, 24, 43, 64, 79, 75, 56, 36, 18, 8)(6, 13, 27, 42, 63, 81, 78, 59, 39, 21, 30, 14)(9, 19, 26, 12, 25, 44, 62, 80, 77, 58, 38, 20)(16, 32, 47, 65, 84, 92, 89, 74, 55, 35, 49, 29)(17, 33, 51, 31, 45, 67, 83, 91, 88, 73, 54, 34)(28, 48, 66, 82, 93, 90, 76, 57, 37, 50, 68, 46)(52, 69, 85, 94, 96, 95, 87, 72, 53, 70, 86, 71)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 31)(18, 35)(19, 33)(20, 37)(22, 36)(23, 42)(25, 45)(26, 46)(27, 47)(30, 50)(32, 52)(34, 53)(38, 54)(39, 55)(40, 58)(41, 62)(43, 65)(44, 66)(48, 69)(49, 70)(51, 71)(56, 73)(57, 72)(59, 76)(60, 78)(61, 79)(63, 82)(64, 83)(67, 85)(68, 86)(74, 87)(75, 89)(77, 90)(80, 91)(81, 92)(84, 94)(88, 95)(93, 96)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.1761 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = C2 x C4 x A4 (small group id <96, 196>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^3 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^2, T2^12, (T2^-1 * T1)^12 ]
Map::
	R = (1, 3, 8, 18, 36, 56, 75, 60, 40, 22, 10, 4)(2, 5, 12, 26, 46, 66, 83, 70, 50, 30, 14, 6)(7, 15, 32, 53, 73, 88, 78, 59, 39, 21, 33, 16)(9, 19, 35, 17, 34, 55, 74, 89, 77, 58, 38, 20)(11, 23, 42, 63, 81, 92, 86, 69, 49, 29, 43, 24)(13, 27, 45, 25, 44, 65, 82, 93, 85, 68, 48, 28)(31, 51, 71, 87, 95, 90, 76, 57, 37, 54, 72, 52)(41, 61, 79, 91, 96, 94, 84, 67, 47, 64, 80, 62)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 120)(114, 122)(115, 123)(116, 133)(118, 126)(119, 137)(124, 143)(128, 138)(129, 150)(130, 140)(131, 148)(132, 149)(134, 144)(135, 145)(136, 154)(139, 160)(141, 158)(142, 159)(146, 164)(147, 157)(151, 167)(152, 170)(153, 163)(155, 172)(156, 174)(161, 175)(162, 178)(165, 180)(166, 182)(168, 176)(169, 183)(171, 179)(173, 186)(177, 187)(181, 190)(184, 188)(185, 189)(191, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1762
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.1762 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = C2 x C4 x A4 (small group id <96, 196>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-2 * T1 * T2^3 * T1 * T2^-1, (T2 * T1 * T2^-1 * T1)^2, T2^12, (T2^-1 * T1)^12 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 36, 132, 56, 152, 75, 171, 60, 156, 40, 136, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 46, 142, 66, 162, 83, 179, 70, 166, 50, 146, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 53, 149, 73, 169, 88, 184, 78, 174, 59, 155, 39, 135, 21, 117, 33, 129, 16, 112)(9, 105, 19, 115, 35, 131, 17, 113, 34, 130, 55, 151, 74, 170, 89, 185, 77, 173, 58, 154, 38, 134, 20, 116)(11, 107, 23, 119, 42, 138, 63, 159, 81, 177, 92, 188, 86, 182, 69, 165, 49, 145, 29, 125, 43, 139, 24, 120)(13, 109, 27, 123, 45, 141, 25, 121, 44, 140, 65, 161, 82, 178, 93, 189, 85, 181, 68, 164, 48, 144, 28, 124)(31, 127, 51, 147, 71, 167, 87, 183, 95, 191, 90, 186, 76, 172, 57, 153, 37, 133, 54, 150, 72, 168, 52, 148)(41, 137, 61, 157, 79, 175, 91, 187, 96, 192, 94, 190, 84, 180, 67, 163, 47, 143, 64, 160, 80, 176, 62, 158)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 120)(17, 104)(18, 122)(19, 123)(20, 133)(21, 106)(22, 126)(23, 137)(24, 112)(25, 108)(26, 114)(27, 115)(28, 143)(29, 110)(30, 118)(31, 111)(32, 138)(33, 150)(34, 140)(35, 148)(36, 149)(37, 116)(38, 144)(39, 145)(40, 154)(41, 119)(42, 128)(43, 160)(44, 130)(45, 158)(46, 159)(47, 124)(48, 134)(49, 135)(50, 164)(51, 157)(52, 131)(53, 132)(54, 129)(55, 167)(56, 170)(57, 163)(58, 136)(59, 172)(60, 174)(61, 147)(62, 141)(63, 142)(64, 139)(65, 175)(66, 178)(67, 153)(68, 146)(69, 180)(70, 182)(71, 151)(72, 176)(73, 183)(74, 152)(75, 179)(76, 155)(77, 186)(78, 156)(79, 161)(80, 168)(81, 187)(82, 162)(83, 171)(84, 165)(85, 190)(86, 166)(87, 169)(88, 188)(89, 189)(90, 173)(91, 177)(92, 184)(93, 185)(94, 181)(95, 192)(96, 191)
	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 E17.1761
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.1763 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x A4 (small group id <96, 196>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^3 * Y1 * Y2^-3 * Y1, (Y2^-2 * R * Y2^-1)^2, Y2^12, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 24, 120)(18, 114, 26, 122)(19, 115, 27, 123)(20, 116, 37, 133)(22, 118, 30, 126)(23, 119, 41, 137)(28, 124, 47, 143)(32, 128, 42, 138)(33, 129, 54, 150)(34, 130, 44, 140)(35, 131, 52, 148)(36, 132, 53, 149)(38, 134, 48, 144)(39, 135, 49, 145)(40, 136, 58, 154)(43, 139, 64, 160)(45, 141, 62, 158)(46, 142, 63, 159)(50, 146, 68, 164)(51, 147, 61, 157)(55, 151, 71, 167)(56, 152, 74, 170)(57, 153, 67, 163)(59, 155, 76, 172)(60, 156, 78, 174)(65, 161, 79, 175)(66, 162, 82, 178)(69, 165, 84, 180)(70, 166, 86, 182)(72, 168, 80, 176)(73, 169, 87, 183)(75, 171, 83, 179)(77, 173, 90, 186)(81, 177, 91, 187)(85, 181, 94, 190)(88, 184, 92, 188)(89, 185, 93, 189)(95, 191, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 248, 344, 267, 363, 252, 348, 232, 328, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 238, 334, 258, 354, 275, 371, 262, 358, 242, 338, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 245, 341, 265, 361, 280, 376, 270, 366, 251, 347, 231, 327, 213, 309, 225, 321, 208, 304)(201, 297, 211, 307, 227, 323, 209, 305, 226, 322, 247, 343, 266, 362, 281, 377, 269, 365, 250, 346, 230, 326, 212, 308)(203, 299, 215, 311, 234, 330, 255, 351, 273, 369, 284, 380, 278, 374, 261, 357, 241, 337, 221, 317, 235, 331, 216, 312)(205, 301, 219, 315, 237, 333, 217, 313, 236, 332, 257, 353, 274, 370, 285, 381, 277, 373, 260, 356, 240, 336, 220, 316)(223, 319, 243, 339, 263, 359, 279, 375, 287, 383, 282, 378, 268, 364, 249, 345, 229, 325, 246, 342, 264, 360, 244, 340)(233, 329, 253, 349, 271, 367, 283, 379, 288, 384, 286, 382, 276, 372, 259, 355, 239, 335, 256, 352, 272, 368, 254, 350)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 216)(17, 200)(18, 218)(19, 219)(20, 229)(21, 202)(22, 222)(23, 233)(24, 208)(25, 204)(26, 210)(27, 211)(28, 239)(29, 206)(30, 214)(31, 207)(32, 234)(33, 246)(34, 236)(35, 244)(36, 245)(37, 212)(38, 240)(39, 241)(40, 250)(41, 215)(42, 224)(43, 256)(44, 226)(45, 254)(46, 255)(47, 220)(48, 230)(49, 231)(50, 260)(51, 253)(52, 227)(53, 228)(54, 225)(55, 263)(56, 266)(57, 259)(58, 232)(59, 268)(60, 270)(61, 243)(62, 237)(63, 238)(64, 235)(65, 271)(66, 274)(67, 249)(68, 242)(69, 276)(70, 278)(71, 247)(72, 272)(73, 279)(74, 248)(75, 275)(76, 251)(77, 282)(78, 252)(79, 257)(80, 264)(81, 283)(82, 258)(83, 267)(84, 261)(85, 286)(86, 262)(87, 265)(88, 284)(89, 285)(90, 269)(91, 273)(92, 280)(93, 281)(94, 277)(95, 288)(96, 287)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 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 E17.1764
Graph:: bipartite
	v = 56 e = 192 f = 104
	degree seq :: [ 4^48, 24^8 ]

E17.1764 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = C2 x C4 x A4 (small group id <96, 196>)
Aut   = $<192, 1470>$ (small group id <192, 1470>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^-3 * Y3 * Y1^3 * Y3^-1, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^12, (Y3^-1 * Y1^-1)^12 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 41, 137, 61, 157, 60, 156, 40, 136, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 24, 120, 43, 139, 64, 160, 79, 175, 75, 171, 56, 152, 36, 132, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 42, 138, 63, 159, 81, 177, 78, 174, 59, 155, 39, 135, 21, 117, 30, 126, 14, 110)(9, 105, 19, 115, 26, 122, 12, 108, 25, 121, 44, 140, 62, 158, 80, 176, 77, 173, 58, 154, 38, 134, 20, 116)(16, 112, 32, 128, 47, 143, 65, 161, 84, 180, 92, 188, 89, 185, 74, 170, 55, 151, 35, 131, 49, 145, 29, 125)(17, 113, 33, 129, 51, 147, 31, 127, 45, 141, 67, 163, 83, 179, 91, 187, 88, 184, 73, 169, 54, 150, 34, 130)(28, 124, 48, 144, 66, 162, 82, 178, 93, 189, 90, 186, 76, 172, 57, 153, 37, 133, 50, 146, 68, 164, 46, 142)(52, 148, 69, 165, 85, 181, 94, 190, 96, 192, 95, 191, 87, 183, 72, 168, 53, 149, 70, 166, 86, 182, 71, 167)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 223)(16, 199)(17, 200)(18, 227)(19, 225)(20, 229)(21, 202)(22, 228)(23, 234)(24, 203)(25, 237)(26, 238)(27, 239)(28, 205)(29, 206)(30, 242)(31, 207)(32, 244)(33, 211)(34, 245)(35, 210)(36, 214)(37, 212)(38, 246)(39, 247)(40, 250)(41, 254)(42, 215)(43, 257)(44, 258)(45, 217)(46, 218)(47, 219)(48, 261)(49, 262)(50, 222)(51, 263)(52, 224)(53, 226)(54, 230)(55, 231)(56, 265)(57, 264)(58, 232)(59, 268)(60, 270)(61, 271)(62, 233)(63, 274)(64, 275)(65, 235)(66, 236)(67, 277)(68, 278)(69, 240)(70, 241)(71, 243)(72, 249)(73, 248)(74, 279)(75, 281)(76, 251)(77, 282)(78, 252)(79, 253)(80, 283)(81, 284)(82, 255)(83, 256)(84, 286)(85, 259)(86, 260)(87, 266)(88, 287)(89, 267)(90, 269)(91, 272)(92, 273)(93, 288)(94, 276)(95, 280)(96, 285)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 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 E17.1763
Graph:: simple bipartite
	v = 104 e = 192 f = 56
	degree seq :: [ 2^96, 24^8 ]

E17.1765 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 12, 12})
Quotient :: regular
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 201>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, (T1^-1 * T2 * T1^-2 * T2)^2, T1^12 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 65, 42, 22, 10, 4)(3, 7, 15, 31, 55, 77, 87, 70, 45, 24, 18, 8)(6, 13, 27, 21, 41, 58, 82, 90, 68, 44, 30, 14)(9, 19, 38, 62, 84, 88, 67, 48, 26, 12, 25, 20)(16, 33, 49, 37, 53, 29, 52, 75, 89, 78, 59, 34)(17, 35, 60, 69, 91, 85, 63, 39, 56, 32, 46, 36)(28, 50, 40, 54, 72, 47, 71, 92, 86, 64, 74, 51)(57, 80, 61, 83, 93, 79, 95, 73, 94, 76, 96, 81)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 57)(34, 58)(35, 48)(36, 61)(38, 51)(41, 64)(42, 62)(43, 67)(45, 69)(50, 73)(52, 70)(53, 76)(55, 78)(56, 79)(59, 83)(60, 81)(63, 77)(65, 82)(66, 87)(68, 89)(71, 90)(72, 93)(74, 96)(75, 95)(80, 92)(84, 91)(85, 94)(86, 88)
	local type(s) :: { ( 12^12 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 48 f = 8
	degree seq :: [ 12^8 ]

E17.1766 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 12, 12})
Quotient :: edge
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 201>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^3 * T1)^2, (T2^-1 * T1 * T2^-2 * T1)^2, T2^12, T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1, (T2 * T1)^12 ]
Map::
	R = (1, 3, 8, 18, 37, 61, 83, 65, 42, 22, 10, 4)(2, 5, 12, 26, 49, 72, 93, 76, 54, 30, 14, 6)(7, 15, 32, 21, 41, 45, 68, 89, 81, 59, 34, 16)(9, 19, 39, 63, 85, 94, 73, 50, 36, 17, 35, 20)(11, 23, 44, 29, 53, 33, 57, 79, 91, 70, 46, 24)(13, 27, 51, 74, 95, 84, 62, 38, 48, 25, 47, 28)(31, 55, 40, 58, 80, 60, 82, 87, 86, 64, 78, 56)(43, 66, 52, 69, 90, 71, 92, 77, 96, 75, 88, 67)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 113)(106, 117)(108, 121)(110, 125)(111, 127)(112, 129)(114, 126)(115, 134)(116, 136)(118, 122)(119, 139)(120, 141)(123, 146)(124, 148)(128, 140)(130, 154)(131, 143)(132, 156)(133, 155)(135, 152)(137, 160)(138, 159)(142, 165)(144, 167)(145, 166)(147, 163)(149, 171)(150, 170)(151, 173)(153, 172)(157, 169)(158, 168)(161, 164)(162, 183)(174, 184)(175, 188)(176, 186)(177, 187)(178, 185)(179, 189)(180, 192)(181, 191)(182, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 24, 24 ), ( 24^12 ) }
Outer automorphisms :: reflexible
Dual of E17.1767
Transitivity :: ET+
Graph:: simple bipartite
	v = 56 e = 96 f = 8
	degree seq :: [ 2^48, 12^8 ]

E17.1767 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 12, 12})
Quotient :: loop
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 201>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^3 * T1)^2, (T2^-1 * T1 * T2^-2 * T1)^2, T2^12, T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1, (T2 * T1)^12 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 18, 114, 37, 133, 61, 157, 83, 179, 65, 161, 42, 138, 22, 118, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 26, 122, 49, 145, 72, 168, 93, 189, 76, 172, 54, 150, 30, 126, 14, 110, 6, 102)(7, 103, 15, 111, 32, 128, 21, 117, 41, 137, 45, 141, 68, 164, 89, 185, 81, 177, 59, 155, 34, 130, 16, 112)(9, 105, 19, 115, 39, 135, 63, 159, 85, 181, 94, 190, 73, 169, 50, 146, 36, 132, 17, 113, 35, 131, 20, 116)(11, 107, 23, 119, 44, 140, 29, 125, 53, 149, 33, 129, 57, 153, 79, 175, 91, 187, 70, 166, 46, 142, 24, 120)(13, 109, 27, 123, 51, 147, 74, 170, 95, 191, 84, 180, 62, 158, 38, 134, 48, 144, 25, 121, 47, 143, 28, 124)(31, 127, 55, 151, 40, 136, 58, 154, 80, 176, 60, 156, 82, 178, 87, 183, 86, 182, 64, 160, 78, 174, 56, 152)(43, 139, 66, 162, 52, 148, 69, 165, 90, 186, 71, 167, 92, 188, 77, 173, 96, 192, 75, 171, 88, 184, 67, 163)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 113)(9, 100)(10, 117)(11, 101)(12, 121)(13, 102)(14, 125)(15, 127)(16, 129)(17, 104)(18, 126)(19, 134)(20, 136)(21, 106)(22, 122)(23, 139)(24, 141)(25, 108)(26, 118)(27, 146)(28, 148)(29, 110)(30, 114)(31, 111)(32, 140)(33, 112)(34, 154)(35, 143)(36, 156)(37, 155)(38, 115)(39, 152)(40, 116)(41, 160)(42, 159)(43, 119)(44, 128)(45, 120)(46, 165)(47, 131)(48, 167)(49, 166)(50, 123)(51, 163)(52, 124)(53, 171)(54, 170)(55, 173)(56, 135)(57, 172)(58, 130)(59, 133)(60, 132)(61, 169)(62, 168)(63, 138)(64, 137)(65, 164)(66, 183)(67, 147)(68, 161)(69, 142)(70, 145)(71, 144)(72, 158)(73, 157)(74, 150)(75, 149)(76, 153)(77, 151)(78, 184)(79, 188)(80, 186)(81, 187)(82, 185)(83, 189)(84, 192)(85, 191)(86, 190)(87, 162)(88, 174)(89, 178)(90, 176)(91, 177)(92, 175)(93, 179)(94, 182)(95, 181)(96, 180)
	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 E17.1766
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 96 f = 56
	degree seq :: [ 24^8 ]

E17.1768 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 201>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * R * Y2^3 * R * Y2^-2, R * Y2^2 * R * Y1 * Y2^2 * Y1, (Y2^3 * Y1)^2, (Y2^2 * Y1 * Y2 * Y1)^2, Y2^12, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 31, 127)(16, 112, 33, 129)(18, 114, 30, 126)(19, 115, 38, 134)(20, 116, 40, 136)(22, 118, 26, 122)(23, 119, 43, 139)(24, 120, 45, 141)(27, 123, 50, 146)(28, 124, 52, 148)(32, 128, 44, 140)(34, 130, 58, 154)(35, 131, 47, 143)(36, 132, 60, 156)(37, 133, 59, 155)(39, 135, 56, 152)(41, 137, 64, 160)(42, 138, 63, 159)(46, 142, 69, 165)(48, 144, 71, 167)(49, 145, 70, 166)(51, 147, 67, 163)(53, 149, 75, 171)(54, 150, 74, 170)(55, 151, 77, 173)(57, 153, 76, 172)(61, 157, 73, 169)(62, 158, 72, 168)(65, 161, 68, 164)(66, 162, 87, 183)(78, 174, 88, 184)(79, 175, 92, 188)(80, 176, 90, 186)(81, 177, 91, 187)(82, 178, 89, 185)(83, 179, 93, 189)(84, 180, 96, 192)(85, 181, 95, 191)(86, 182, 94, 190)(193, 289, 195, 291, 200, 296, 210, 306, 229, 325, 253, 349, 275, 371, 257, 353, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 241, 337, 264, 360, 285, 381, 268, 364, 246, 342, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 224, 320, 213, 309, 233, 329, 237, 333, 260, 356, 281, 377, 273, 369, 251, 347, 226, 322, 208, 304)(201, 297, 211, 307, 231, 327, 255, 351, 277, 373, 286, 382, 265, 361, 242, 338, 228, 324, 209, 305, 227, 323, 212, 308)(203, 299, 215, 311, 236, 332, 221, 317, 245, 341, 225, 321, 249, 345, 271, 367, 283, 379, 262, 358, 238, 334, 216, 312)(205, 301, 219, 315, 243, 339, 266, 362, 287, 383, 276, 372, 254, 350, 230, 326, 240, 336, 217, 313, 239, 335, 220, 316)(223, 319, 247, 343, 232, 328, 250, 346, 272, 368, 252, 348, 274, 370, 279, 375, 278, 374, 256, 352, 270, 366, 248, 344)(235, 331, 258, 354, 244, 340, 261, 357, 282, 378, 263, 359, 284, 380, 269, 365, 288, 384, 267, 363, 280, 376, 259, 355)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 223)(16, 225)(17, 200)(18, 222)(19, 230)(20, 232)(21, 202)(22, 218)(23, 235)(24, 237)(25, 204)(26, 214)(27, 242)(28, 244)(29, 206)(30, 210)(31, 207)(32, 236)(33, 208)(34, 250)(35, 239)(36, 252)(37, 251)(38, 211)(39, 248)(40, 212)(41, 256)(42, 255)(43, 215)(44, 224)(45, 216)(46, 261)(47, 227)(48, 263)(49, 262)(50, 219)(51, 259)(52, 220)(53, 267)(54, 266)(55, 269)(56, 231)(57, 268)(58, 226)(59, 229)(60, 228)(61, 265)(62, 264)(63, 234)(64, 233)(65, 260)(66, 279)(67, 243)(68, 257)(69, 238)(70, 241)(71, 240)(72, 254)(73, 253)(74, 246)(75, 245)(76, 249)(77, 247)(78, 280)(79, 284)(80, 282)(81, 283)(82, 281)(83, 285)(84, 288)(85, 287)(86, 286)(87, 258)(88, 270)(89, 274)(90, 272)(91, 273)(92, 271)(93, 275)(94, 278)(95, 277)(96, 276)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 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 E17.1769
Graph:: bipartite
	v = 56 e = 192 f = 104
	degree seq :: [ 4^48, 24^8 ]

E17.1769 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 12, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C2) : C2 (small group id <96, 201>)
Aut   = $<192, 1484>$ (small group id <192, 1484>)
|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^-3)^2, (Y3 * Y1^-3)^2, (Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1)^2, Y1^12, Y1^12 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 66, 162, 65, 161, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 55, 151, 77, 173, 87, 183, 70, 166, 45, 141, 24, 120, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 21, 117, 41, 137, 58, 154, 82, 178, 90, 186, 68, 164, 44, 140, 30, 126, 14, 110)(9, 105, 19, 115, 38, 134, 62, 158, 84, 180, 88, 184, 67, 163, 48, 144, 26, 122, 12, 108, 25, 121, 20, 116)(16, 112, 33, 129, 49, 145, 37, 133, 53, 149, 29, 125, 52, 148, 75, 171, 89, 185, 78, 174, 59, 155, 34, 130)(17, 113, 35, 131, 60, 156, 69, 165, 91, 187, 85, 181, 63, 159, 39, 135, 56, 152, 32, 128, 46, 142, 36, 132)(28, 124, 50, 146, 40, 136, 54, 150, 72, 168, 47, 143, 71, 167, 92, 188, 86, 182, 64, 160, 74, 170, 51, 147)(57, 153, 80, 176, 61, 157, 83, 179, 93, 189, 79, 175, 95, 191, 73, 169, 94, 190, 76, 172, 96, 192, 81, 177)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 229)(19, 231)(20, 232)(21, 202)(22, 223)(23, 236)(24, 203)(25, 238)(26, 239)(27, 241)(28, 205)(29, 206)(30, 246)(31, 214)(32, 207)(33, 249)(34, 250)(35, 240)(36, 253)(37, 210)(38, 243)(39, 211)(40, 212)(41, 256)(42, 254)(43, 259)(44, 215)(45, 261)(46, 217)(47, 218)(48, 227)(49, 219)(50, 265)(51, 230)(52, 262)(53, 268)(54, 222)(55, 270)(56, 271)(57, 225)(58, 226)(59, 275)(60, 273)(61, 228)(62, 234)(63, 269)(64, 233)(65, 274)(66, 279)(67, 235)(68, 281)(69, 237)(70, 244)(71, 282)(72, 285)(73, 242)(74, 288)(75, 287)(76, 245)(77, 255)(78, 247)(79, 248)(80, 284)(81, 252)(82, 257)(83, 251)(84, 283)(85, 286)(86, 280)(87, 258)(88, 278)(89, 260)(90, 263)(91, 276)(92, 272)(93, 264)(94, 277)(95, 267)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1768
Graph:: simple bipartite
	v = 104 e = 192 f = 56
	degree seq :: [ 2^96, 24^8 ]

E17.1770 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^4 * T2)^2, (T1^-2 * T2)^4, T1^-4 * T2 * T1^2 * T2 * T1^-6 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 43, 66, 85, 79, 57, 32, 52, 72, 60, 35, 53, 73, 90, 84, 65, 42, 22, 10, 4)(3, 7, 15, 31, 55, 77, 86, 74, 50, 26, 12, 25, 47, 40, 21, 39, 63, 82, 89, 68, 44, 36, 18, 8)(6, 13, 27, 51, 41, 64, 83, 91, 71, 46, 24, 45, 38, 20, 9, 19, 37, 62, 81, 87, 67, 54, 30, 14)(16, 28, 48, 69, 61, 76, 92, 96, 94, 78, 56, 75, 59, 34, 17, 29, 49, 70, 88, 95, 93, 80, 58, 33)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 93)(82, 94)(83, 85)(84, 89)(87, 95)(91, 96)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1771
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.1771 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^8, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1, (T1^-1 * T2)^24 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 12, 22, 31, 28, 17, 8)(6, 13, 21, 32, 30, 18, 9, 14)(15, 25, 33, 43, 40, 27, 16, 26)(23, 34, 42, 41, 29, 36, 24, 35)(37, 47, 52, 50, 39, 49, 38, 48)(44, 53, 51, 56, 46, 55, 45, 54)(57, 65, 60, 68, 59, 67, 58, 66)(61, 69, 64, 72, 63, 71, 62, 70)(73, 81, 76, 84, 75, 83, 74, 82)(77, 85, 80, 88, 79, 87, 78, 86)(89, 93, 92, 96, 91, 95, 90, 94)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 21)(13, 23)(14, 24)(18, 29)(19, 30)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 51)(43, 52)(47, 57)(48, 58)(49, 59)(50, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1770
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.1772 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 26, 39, 30, 18, 9, 16)(11, 20, 32, 44, 36, 23, 13, 21)(25, 37, 48, 41, 29, 40, 27, 38)(31, 42, 53, 46, 35, 45, 33, 43)(47, 57, 51, 60, 50, 59, 49, 58)(52, 61, 56, 64, 55, 63, 54, 62)(65, 73, 68, 76, 67, 75, 66, 74)(69, 77, 72, 80, 71, 79, 70, 78)(81, 89, 84, 92, 83, 91, 82, 90)(85, 93, 88, 96, 87, 95, 86, 94)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 108)(106, 110)(111, 121)(112, 123)(113, 122)(114, 125)(115, 126)(116, 127)(117, 129)(118, 128)(119, 131)(120, 132)(124, 130)(133, 143)(134, 145)(135, 144)(136, 146)(137, 147)(138, 148)(139, 150)(140, 149)(141, 151)(142, 152)(153, 161)(154, 162)(155, 163)(156, 164)(157, 165)(158, 166)(159, 167)(160, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 189)(186, 190)(187, 191)(188, 192)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1776
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 96 f = 4
	degree seq :: [ 2^48, 8^12 ]

E17.1773 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, (T2^3 * T1^-1)^2, T1^8, T2^5 * T1^-1 * T2^-7 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 48, 64, 80, 88, 72, 56, 41, 30, 34, 21, 42, 58, 74, 90, 84, 68, 52, 33, 15, 5)(2, 7, 19, 40, 57, 73, 89, 78, 62, 46, 24, 11, 27, 37, 32, 51, 67, 83, 92, 76, 60, 44, 22, 8)(4, 12, 29, 49, 65, 81, 94, 79, 63, 47, 26, 35, 16, 14, 31, 50, 66, 82, 93, 77, 61, 45, 23, 9)(6, 17, 36, 53, 69, 85, 95, 87, 71, 55, 39, 20, 13, 28, 43, 59, 75, 91, 96, 86, 70, 54, 38, 18)(97, 98, 102, 112, 130, 123, 109, 100)(99, 105, 113, 104, 117, 131, 124, 107)(101, 110, 114, 133, 126, 108, 116, 103)(106, 120, 132, 119, 138, 118, 139, 122)(111, 128, 134, 125, 137, 115, 135, 127)(121, 143, 149, 142, 154, 141, 155, 140)(129, 145, 150, 136, 152, 146, 151, 147)(144, 156, 165, 159, 170, 158, 171, 157)(148, 153, 166, 162, 168, 163, 167, 161)(160, 173, 181, 172, 186, 175, 187, 174)(164, 178, 182, 179, 184, 177, 183, 169)(176, 185, 191, 189, 180, 188, 192, 190)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1777
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.1774 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^4 * T2)^2, (T1^-2 * T2)^4, T1^-4 * T2 * T1^2 * T2 * T1^-6 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 41)(23, 44)(25, 48)(26, 49)(27, 52)(30, 53)(31, 56)(36, 61)(37, 57)(38, 60)(39, 58)(40, 59)(42, 55)(43, 67)(45, 69)(46, 70)(47, 72)(50, 73)(51, 75)(54, 76)(62, 78)(63, 79)(64, 80)(65, 81)(66, 86)(68, 88)(71, 90)(74, 92)(77, 93)(82, 94)(83, 85)(84, 89)(87, 95)(91, 96)(97, 98, 101, 107, 119, 139, 162, 181, 175, 153, 128, 148, 168, 156, 131, 149, 169, 186, 180, 161, 138, 118, 106, 100)(99, 103, 111, 127, 151, 173, 182, 170, 146, 122, 108, 121, 143, 136, 117, 135, 159, 178, 185, 164, 140, 132, 114, 104)(102, 109, 123, 147, 137, 160, 179, 187, 167, 142, 120, 141, 134, 116, 105, 115, 133, 158, 177, 183, 163, 150, 126, 110)(112, 124, 144, 165, 157, 172, 188, 192, 190, 174, 152, 171, 155, 130, 113, 125, 145, 166, 184, 191, 189, 176, 154, 129)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1775
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.1775 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^8, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^24 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 17, 113, 28, 124, 19, 115, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 22, 118, 34, 130, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 26, 122, 39, 135, 30, 126, 18, 114, 9, 105, 16, 112)(11, 107, 20, 116, 32, 128, 44, 140, 36, 132, 23, 119, 13, 109, 21, 117)(25, 121, 37, 133, 48, 144, 41, 137, 29, 125, 40, 136, 27, 123, 38, 134)(31, 127, 42, 138, 53, 149, 46, 142, 35, 131, 45, 141, 33, 129, 43, 139)(47, 143, 57, 153, 51, 147, 60, 156, 50, 146, 59, 155, 49, 145, 58, 154)(52, 148, 61, 157, 56, 152, 64, 160, 55, 151, 63, 159, 54, 150, 62, 158)(65, 161, 73, 169, 68, 164, 76, 172, 67, 163, 75, 171, 66, 162, 74, 170)(69, 165, 77, 173, 72, 168, 80, 176, 71, 167, 79, 175, 70, 166, 78, 174)(81, 177, 89, 185, 84, 180, 92, 188, 83, 179, 91, 187, 82, 178, 90, 186)(85, 181, 93, 189, 88, 184, 96, 192, 87, 183, 95, 191, 86, 182, 94, 190)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 108)(9, 100)(10, 110)(11, 101)(12, 104)(13, 102)(14, 106)(15, 121)(16, 123)(17, 122)(18, 125)(19, 126)(20, 127)(21, 129)(22, 128)(23, 131)(24, 132)(25, 111)(26, 113)(27, 112)(28, 130)(29, 114)(30, 115)(31, 116)(32, 118)(33, 117)(34, 124)(35, 119)(36, 120)(37, 143)(38, 145)(39, 144)(40, 146)(41, 147)(42, 148)(43, 150)(44, 149)(45, 151)(46, 152)(47, 133)(48, 135)(49, 134)(50, 136)(51, 137)(52, 138)(53, 140)(54, 139)(55, 141)(56, 142)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(89, 189)(90, 190)(91, 191)(92, 192)(93, 185)(94, 186)(95, 187)(96, 188)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1774
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 16^12 ]

E17.1776 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-2 * T2 * T1^2 * T2^-1, (T2^3 * T1^-1)^2, T1^8, T2^5 * T1^-1 * T2^-7 * T1^-1 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 25, 121, 48, 144, 64, 160, 80, 176, 88, 184, 72, 168, 56, 152, 41, 137, 30, 126, 34, 130, 21, 117, 42, 138, 58, 154, 74, 170, 90, 186, 84, 180, 68, 164, 52, 148, 33, 129, 15, 111, 5, 101)(2, 98, 7, 103, 19, 115, 40, 136, 57, 153, 73, 169, 89, 185, 78, 174, 62, 158, 46, 142, 24, 120, 11, 107, 27, 123, 37, 133, 32, 128, 51, 147, 67, 163, 83, 179, 92, 188, 76, 172, 60, 156, 44, 140, 22, 118, 8, 104)(4, 100, 12, 108, 29, 125, 49, 145, 65, 161, 81, 177, 94, 190, 79, 175, 63, 159, 47, 143, 26, 122, 35, 131, 16, 112, 14, 110, 31, 127, 50, 146, 66, 162, 82, 178, 93, 189, 77, 173, 61, 157, 45, 141, 23, 119, 9, 105)(6, 102, 17, 113, 36, 132, 53, 149, 69, 165, 85, 181, 95, 191, 87, 183, 71, 167, 55, 151, 39, 135, 20, 116, 13, 109, 28, 124, 43, 139, 59, 155, 75, 171, 91, 187, 96, 192, 86, 182, 70, 166, 54, 150, 38, 134, 18, 114)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 110)(6, 112)(7, 101)(8, 117)(9, 113)(10, 120)(11, 99)(12, 116)(13, 100)(14, 114)(15, 128)(16, 130)(17, 104)(18, 133)(19, 135)(20, 103)(21, 131)(22, 139)(23, 138)(24, 132)(25, 143)(26, 106)(27, 109)(28, 107)(29, 137)(30, 108)(31, 111)(32, 134)(33, 145)(34, 123)(35, 124)(36, 119)(37, 126)(38, 125)(39, 127)(40, 152)(41, 115)(42, 118)(43, 122)(44, 121)(45, 155)(46, 154)(47, 149)(48, 156)(49, 150)(50, 151)(51, 129)(52, 153)(53, 142)(54, 136)(55, 147)(56, 146)(57, 166)(58, 141)(59, 140)(60, 165)(61, 144)(62, 171)(63, 170)(64, 173)(65, 148)(66, 168)(67, 167)(68, 178)(69, 159)(70, 162)(71, 161)(72, 163)(73, 164)(74, 158)(75, 157)(76, 186)(77, 181)(78, 160)(79, 187)(80, 185)(81, 183)(82, 182)(83, 184)(84, 188)(85, 172)(86, 179)(87, 169)(88, 177)(89, 191)(90, 175)(91, 174)(92, 192)(93, 180)(94, 176)(95, 189)(96, 190)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1772
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 60
	degree seq :: [ 48^4 ]

E17.1777 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1^4 * T2)^2, (T1^-2 * T2)^4, T1^-4 * T2 * T1^2 * T2 * T1^-6 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 21, 117)(11, 107, 24, 120)(13, 109, 28, 124)(14, 110, 29, 125)(15, 111, 32, 128)(18, 114, 35, 131)(19, 115, 33, 129)(20, 116, 34, 130)(22, 118, 41, 137)(23, 119, 44, 140)(25, 121, 48, 144)(26, 122, 49, 145)(27, 123, 52, 148)(30, 126, 53, 149)(31, 127, 56, 152)(36, 132, 61, 157)(37, 133, 57, 153)(38, 134, 60, 156)(39, 135, 58, 154)(40, 136, 59, 155)(42, 138, 55, 151)(43, 139, 67, 163)(45, 141, 69, 165)(46, 142, 70, 166)(47, 143, 72, 168)(50, 146, 73, 169)(51, 147, 75, 171)(54, 150, 76, 172)(62, 158, 78, 174)(63, 159, 79, 175)(64, 160, 80, 176)(65, 161, 81, 177)(66, 162, 86, 182)(68, 164, 88, 184)(71, 167, 90, 186)(74, 170, 92, 188)(77, 173, 93, 189)(82, 178, 94, 190)(83, 179, 85, 181)(84, 180, 89, 185)(87, 183, 95, 191)(91, 187, 96, 192)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 115)(10, 100)(11, 119)(12, 121)(13, 123)(14, 102)(15, 127)(16, 124)(17, 125)(18, 104)(19, 133)(20, 105)(21, 135)(22, 106)(23, 139)(24, 141)(25, 143)(26, 108)(27, 147)(28, 144)(29, 145)(30, 110)(31, 151)(32, 148)(33, 112)(34, 113)(35, 149)(36, 114)(37, 158)(38, 116)(39, 159)(40, 117)(41, 160)(42, 118)(43, 162)(44, 132)(45, 134)(46, 120)(47, 136)(48, 165)(49, 166)(50, 122)(51, 137)(52, 168)(53, 169)(54, 126)(55, 173)(56, 171)(57, 128)(58, 129)(59, 130)(60, 131)(61, 172)(62, 177)(63, 178)(64, 179)(65, 138)(66, 181)(67, 150)(68, 140)(69, 157)(70, 184)(71, 142)(72, 156)(73, 186)(74, 146)(75, 155)(76, 188)(77, 182)(78, 152)(79, 153)(80, 154)(81, 183)(82, 185)(83, 187)(84, 161)(85, 175)(86, 170)(87, 163)(88, 191)(89, 164)(90, 180)(91, 167)(92, 192)(93, 176)(94, 174)(95, 189)(96, 190)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1773
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1778 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-1)^2, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 12, 108)(10, 106, 14, 110)(15, 111, 25, 121)(16, 112, 27, 123)(17, 113, 26, 122)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 31, 127)(21, 117, 33, 129)(22, 118, 32, 128)(23, 119, 35, 131)(24, 120, 36, 132)(28, 124, 34, 130)(37, 133, 47, 143)(38, 134, 49, 145)(39, 135, 48, 144)(40, 136, 50, 146)(41, 137, 51, 147)(42, 138, 52, 148)(43, 139, 54, 150)(44, 140, 53, 149)(45, 141, 55, 151)(46, 142, 56, 152)(57, 153, 65, 161)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(63, 159, 71, 167)(64, 160, 72, 168)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 88, 184)(89, 185, 93, 189)(90, 186, 94, 190)(91, 187, 95, 191)(92, 188, 96, 192)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 226, 322, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 218, 314, 231, 327, 222, 318, 210, 306, 201, 297, 208, 304)(203, 299, 212, 308, 224, 320, 236, 332, 228, 324, 215, 311, 205, 301, 213, 309)(217, 313, 229, 325, 240, 336, 233, 329, 221, 317, 232, 328, 219, 315, 230, 326)(223, 319, 234, 330, 245, 341, 238, 334, 227, 323, 237, 333, 225, 321, 235, 331)(239, 335, 249, 345, 243, 339, 252, 348, 242, 338, 251, 347, 241, 337, 250, 346)(244, 340, 253, 349, 248, 344, 256, 352, 247, 343, 255, 351, 246, 342, 254, 350)(257, 353, 265, 361, 260, 356, 268, 364, 259, 355, 267, 363, 258, 354, 266, 362)(261, 357, 269, 365, 264, 360, 272, 368, 263, 359, 271, 367, 262, 358, 270, 366)(273, 369, 281, 377, 276, 372, 284, 380, 275, 371, 283, 379, 274, 370, 282, 378)(277, 373, 285, 381, 280, 376, 288, 384, 279, 375, 287, 383, 278, 374, 286, 382)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 204)(9, 196)(10, 206)(11, 197)(12, 200)(13, 198)(14, 202)(15, 217)(16, 219)(17, 218)(18, 221)(19, 222)(20, 223)(21, 225)(22, 224)(23, 227)(24, 228)(25, 207)(26, 209)(27, 208)(28, 226)(29, 210)(30, 211)(31, 212)(32, 214)(33, 213)(34, 220)(35, 215)(36, 216)(37, 239)(38, 241)(39, 240)(40, 242)(41, 243)(42, 244)(43, 246)(44, 245)(45, 247)(46, 248)(47, 229)(48, 231)(49, 230)(50, 232)(51, 233)(52, 234)(53, 236)(54, 235)(55, 237)(56, 238)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 285)(90, 286)(91, 287)(92, 288)(93, 281)(94, 282)(95, 283)(96, 284)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1781
Graph:: bipartite
	v = 60 e = 192 f = 100
	degree seq :: [ 4^48, 16^12 ]

E17.1779 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2 * Y1)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^-2 * Y2 * Y1^2 * Y2^-1, Y1^8, (Y2^-3 * Y1)^2, Y2 * Y1^-1 * Y2^-11 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 26, 122)(15, 111, 32, 128, 38, 134, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 47, 143, 53, 149, 46, 142, 58, 154, 45, 141, 59, 155, 44, 140)(33, 129, 49, 145, 54, 150, 40, 136, 56, 152, 50, 146, 55, 151, 51, 147)(48, 144, 60, 156, 69, 165, 63, 159, 74, 170, 62, 158, 75, 171, 61, 157)(52, 148, 57, 153, 70, 166, 66, 162, 72, 168, 67, 163, 71, 167, 65, 161)(64, 160, 77, 173, 85, 181, 76, 172, 90, 186, 79, 175, 91, 187, 78, 174)(68, 164, 82, 178, 86, 182, 83, 179, 88, 184, 81, 177, 87, 183, 73, 169)(80, 176, 89, 185, 95, 191, 93, 189, 84, 180, 92, 188, 96, 192, 94, 190)(193, 289, 195, 291, 202, 298, 217, 313, 240, 336, 256, 352, 272, 368, 280, 376, 264, 360, 248, 344, 233, 329, 222, 318, 226, 322, 213, 309, 234, 330, 250, 346, 266, 362, 282, 378, 276, 372, 260, 356, 244, 340, 225, 321, 207, 303, 197, 293)(194, 290, 199, 295, 211, 307, 232, 328, 249, 345, 265, 361, 281, 377, 270, 366, 254, 350, 238, 334, 216, 312, 203, 299, 219, 315, 229, 325, 224, 320, 243, 339, 259, 355, 275, 371, 284, 380, 268, 364, 252, 348, 236, 332, 214, 310, 200, 296)(196, 292, 204, 300, 221, 317, 241, 337, 257, 353, 273, 369, 286, 382, 271, 367, 255, 351, 239, 335, 218, 314, 227, 323, 208, 304, 206, 302, 223, 319, 242, 338, 258, 354, 274, 370, 285, 381, 269, 365, 253, 349, 237, 333, 215, 311, 201, 297)(198, 294, 209, 305, 228, 324, 245, 341, 261, 357, 277, 373, 287, 383, 279, 375, 263, 359, 247, 343, 231, 327, 212, 308, 205, 301, 220, 316, 235, 331, 251, 347, 267, 363, 283, 379, 288, 384, 278, 374, 262, 358, 246, 342, 230, 326, 210, 306)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 240)(26, 227)(27, 229)(28, 235)(29, 241)(30, 226)(31, 242)(32, 243)(33, 207)(34, 213)(35, 208)(36, 245)(37, 224)(38, 210)(39, 212)(40, 249)(41, 222)(42, 250)(43, 251)(44, 214)(45, 215)(46, 216)(47, 218)(48, 256)(49, 257)(50, 258)(51, 259)(52, 225)(53, 261)(54, 230)(55, 231)(56, 233)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 277)(70, 246)(71, 247)(72, 248)(73, 281)(74, 282)(75, 283)(76, 252)(77, 253)(78, 254)(79, 255)(80, 280)(81, 286)(82, 285)(83, 284)(84, 260)(85, 287)(86, 262)(87, 263)(88, 264)(89, 270)(90, 276)(91, 288)(92, 268)(93, 269)(94, 271)(95, 279)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1780
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 16^12, 48^4 ]

E17.1780 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^4 * Y2)^2, (Y3^-2 * Y2)^4, Y3^-9 * Y2 * Y3^2 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 209, 305)(202, 298, 213, 309)(204, 300, 217, 313)(206, 302, 221, 317)(207, 303, 215, 311)(208, 304, 219, 315)(210, 306, 227, 323)(211, 307, 216, 312)(212, 308, 220, 316)(214, 310, 233, 329)(218, 314, 239, 335)(222, 318, 245, 341)(223, 319, 237, 333)(224, 320, 243, 339)(225, 321, 235, 331)(226, 322, 241, 337)(228, 324, 246, 342)(229, 325, 238, 334)(230, 326, 244, 340)(231, 327, 236, 332)(232, 328, 242, 338)(234, 330, 240, 336)(247, 343, 262, 358)(248, 344, 267, 363)(249, 345, 260, 356)(250, 346, 266, 362)(251, 347, 258, 354)(252, 348, 265, 361)(253, 349, 269, 365)(254, 350, 263, 359)(255, 351, 261, 357)(256, 352, 259, 355)(257, 353, 273, 369)(264, 360, 277, 373)(268, 364, 281, 377)(270, 366, 283, 379)(271, 367, 282, 378)(272, 368, 280, 376)(274, 370, 279, 375)(275, 371, 278, 374)(276, 372, 284, 380)(285, 381, 287, 383)(286, 382, 288, 384)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 210)(9, 211)(10, 196)(11, 215)(12, 218)(13, 219)(14, 198)(15, 223)(16, 199)(17, 225)(18, 228)(19, 229)(20, 201)(21, 231)(22, 202)(23, 235)(24, 203)(25, 237)(26, 240)(27, 241)(28, 205)(29, 243)(30, 206)(31, 247)(32, 208)(33, 249)(34, 209)(35, 251)(36, 253)(37, 254)(38, 212)(39, 255)(40, 213)(41, 256)(42, 214)(43, 258)(44, 216)(45, 260)(46, 217)(47, 262)(48, 264)(49, 265)(50, 220)(51, 266)(52, 221)(53, 267)(54, 222)(55, 233)(56, 224)(57, 232)(58, 226)(59, 230)(60, 227)(61, 272)(62, 273)(63, 274)(64, 275)(65, 234)(66, 245)(67, 236)(68, 244)(69, 238)(70, 242)(71, 239)(72, 280)(73, 281)(74, 282)(75, 283)(76, 246)(77, 248)(78, 250)(79, 252)(80, 278)(81, 285)(82, 284)(83, 286)(84, 257)(85, 259)(86, 261)(87, 263)(88, 270)(89, 287)(90, 276)(91, 288)(92, 268)(93, 269)(94, 271)(95, 277)(96, 279)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 16, 48 ), ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1779
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.1781 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1, (Y3 * Y1^-4)^2, (Y1^-2 * Y3)^4, Y1^-2 * Y3 * Y1^6 * Y3 * Y1^-4 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 23, 119, 43, 139, 66, 162, 85, 181, 79, 175, 57, 153, 32, 128, 52, 148, 72, 168, 60, 156, 35, 131, 53, 149, 73, 169, 90, 186, 84, 180, 65, 161, 42, 138, 22, 118, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 31, 127, 55, 151, 77, 173, 86, 182, 74, 170, 50, 146, 26, 122, 12, 108, 25, 121, 47, 143, 40, 136, 21, 117, 39, 135, 63, 159, 82, 178, 89, 185, 68, 164, 44, 140, 36, 132, 18, 114, 8, 104)(6, 102, 13, 109, 27, 123, 51, 147, 41, 137, 64, 160, 83, 179, 91, 187, 71, 167, 46, 142, 24, 120, 45, 141, 38, 134, 20, 116, 9, 105, 19, 115, 37, 133, 62, 158, 81, 177, 87, 183, 67, 163, 54, 150, 30, 126, 14, 110)(16, 112, 28, 124, 48, 144, 69, 165, 61, 157, 76, 172, 92, 188, 96, 192, 94, 190, 78, 174, 56, 152, 75, 171, 59, 155, 34, 130, 17, 113, 29, 125, 49, 145, 70, 166, 88, 184, 95, 191, 93, 189, 80, 176, 58, 154, 33, 129)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 213)(11, 216)(12, 197)(13, 220)(14, 221)(15, 224)(16, 199)(17, 200)(18, 227)(19, 225)(20, 226)(21, 202)(22, 233)(23, 236)(24, 203)(25, 240)(26, 241)(27, 244)(28, 205)(29, 206)(30, 245)(31, 248)(32, 207)(33, 211)(34, 212)(35, 210)(36, 253)(37, 249)(38, 252)(39, 250)(40, 251)(41, 214)(42, 247)(43, 259)(44, 215)(45, 261)(46, 262)(47, 264)(48, 217)(49, 218)(50, 265)(51, 267)(52, 219)(53, 222)(54, 268)(55, 234)(56, 223)(57, 229)(58, 231)(59, 232)(60, 230)(61, 228)(62, 270)(63, 271)(64, 272)(65, 273)(66, 278)(67, 235)(68, 280)(69, 237)(70, 238)(71, 282)(72, 239)(73, 242)(74, 284)(75, 243)(76, 246)(77, 285)(78, 254)(79, 255)(80, 256)(81, 257)(82, 286)(83, 277)(84, 281)(85, 275)(86, 258)(87, 287)(88, 260)(89, 276)(90, 263)(91, 288)(92, 266)(93, 269)(94, 274)(95, 279)(96, 283)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1778
Graph:: simple bipartite
	v = 100 e = 192 f = 60
	degree seq :: [ 2^96, 48^4 ]

E17.1782 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^4 * Y1)^2, (Y2^-2 * Y1)^4, Y2^-1 * Y1 * Y2^10 * Y1 * Y2^-1, (Y2^-1 * R * Y2^-5)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 17, 113)(10, 106, 21, 117)(12, 108, 25, 121)(14, 110, 29, 125)(15, 111, 23, 119)(16, 112, 27, 123)(18, 114, 35, 131)(19, 115, 24, 120)(20, 116, 28, 124)(22, 118, 41, 137)(26, 122, 47, 143)(30, 126, 53, 149)(31, 127, 45, 141)(32, 128, 51, 147)(33, 129, 43, 139)(34, 130, 49, 145)(36, 132, 54, 150)(37, 133, 46, 142)(38, 134, 52, 148)(39, 135, 44, 140)(40, 136, 50, 146)(42, 138, 48, 144)(55, 151, 70, 166)(56, 152, 75, 171)(57, 153, 68, 164)(58, 154, 74, 170)(59, 155, 66, 162)(60, 156, 73, 169)(61, 157, 77, 173)(62, 158, 71, 167)(63, 159, 69, 165)(64, 160, 67, 163)(65, 161, 81, 177)(72, 168, 85, 181)(76, 172, 89, 185)(78, 174, 91, 187)(79, 175, 90, 186)(80, 176, 88, 184)(82, 178, 87, 183)(83, 179, 86, 182)(84, 180, 92, 188)(93, 189, 95, 191)(94, 190, 96, 192)(193, 289, 195, 291, 200, 296, 210, 306, 228, 324, 253, 349, 272, 368, 278, 374, 261, 357, 238, 334, 217, 313, 237, 333, 260, 356, 244, 340, 221, 317, 243, 339, 266, 362, 282, 378, 276, 372, 257, 353, 234, 330, 214, 310, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 218, 314, 240, 336, 264, 360, 280, 376, 270, 366, 250, 346, 226, 322, 209, 305, 225, 321, 249, 345, 232, 328, 213, 309, 231, 327, 255, 351, 274, 370, 284, 380, 268, 364, 246, 342, 222, 318, 206, 302, 198, 294)(199, 295, 207, 303, 223, 319, 247, 343, 233, 329, 256, 352, 275, 371, 286, 382, 271, 367, 252, 348, 227, 323, 251, 347, 230, 326, 212, 308, 201, 297, 211, 307, 229, 325, 254, 350, 273, 369, 285, 381, 269, 365, 248, 344, 224, 320, 208, 304)(203, 299, 215, 311, 235, 331, 258, 354, 245, 341, 267, 363, 283, 379, 288, 384, 279, 375, 263, 359, 239, 335, 262, 358, 242, 338, 220, 316, 205, 301, 219, 315, 241, 337, 265, 361, 281, 377, 287, 383, 277, 373, 259, 355, 236, 332, 216, 312)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 217)(13, 198)(14, 221)(15, 215)(16, 219)(17, 200)(18, 227)(19, 216)(20, 220)(21, 202)(22, 233)(23, 207)(24, 211)(25, 204)(26, 239)(27, 208)(28, 212)(29, 206)(30, 245)(31, 237)(32, 243)(33, 235)(34, 241)(35, 210)(36, 246)(37, 238)(38, 244)(39, 236)(40, 242)(41, 214)(42, 240)(43, 225)(44, 231)(45, 223)(46, 229)(47, 218)(48, 234)(49, 226)(50, 232)(51, 224)(52, 230)(53, 222)(54, 228)(55, 262)(56, 267)(57, 260)(58, 266)(59, 258)(60, 265)(61, 269)(62, 263)(63, 261)(64, 259)(65, 273)(66, 251)(67, 256)(68, 249)(69, 255)(70, 247)(71, 254)(72, 277)(73, 252)(74, 250)(75, 248)(76, 281)(77, 253)(78, 283)(79, 282)(80, 280)(81, 257)(82, 279)(83, 278)(84, 284)(85, 264)(86, 275)(87, 274)(88, 272)(89, 268)(90, 271)(91, 270)(92, 276)(93, 287)(94, 288)(95, 285)(96, 286)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1783
Graph:: bipartite
	v = 52 e = 192 f = 108
	degree seq :: [ 4^48, 48^4 ]

E17.1783 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C24 x C2) : C2 (small group id <96, 27>)
Aut   = $<192, 332>$ (small group id <192, 332>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-2 * Y3 * Y1^2 * Y3^-1, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-3 * Y1)^2, Y3^2 * Y1 * Y3^-10 * Y1^-1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 16, 112, 34, 130, 27, 123, 13, 109, 4, 100)(3, 99, 9, 105, 17, 113, 8, 104, 21, 117, 35, 131, 28, 124, 11, 107)(5, 101, 14, 110, 18, 114, 37, 133, 30, 126, 12, 108, 20, 116, 7, 103)(10, 106, 24, 120, 36, 132, 23, 119, 42, 138, 22, 118, 43, 139, 26, 122)(15, 111, 32, 128, 38, 134, 29, 125, 41, 137, 19, 115, 39, 135, 31, 127)(25, 121, 47, 143, 53, 149, 46, 142, 58, 154, 45, 141, 59, 155, 44, 140)(33, 129, 49, 145, 54, 150, 40, 136, 56, 152, 50, 146, 55, 151, 51, 147)(48, 144, 60, 156, 69, 165, 63, 159, 74, 170, 62, 158, 75, 171, 61, 157)(52, 148, 57, 153, 70, 166, 66, 162, 72, 168, 67, 163, 71, 167, 65, 161)(64, 160, 77, 173, 85, 181, 76, 172, 90, 186, 79, 175, 91, 187, 78, 174)(68, 164, 82, 178, 86, 182, 83, 179, 88, 184, 81, 177, 87, 183, 73, 169)(80, 176, 89, 185, 95, 191, 93, 189, 84, 180, 92, 188, 96, 192, 94, 190)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 217)(11, 219)(12, 221)(13, 220)(14, 223)(15, 197)(16, 206)(17, 228)(18, 198)(19, 232)(20, 205)(21, 234)(22, 200)(23, 201)(24, 203)(25, 240)(26, 227)(27, 229)(28, 235)(29, 241)(30, 226)(31, 242)(32, 243)(33, 207)(34, 213)(35, 208)(36, 245)(37, 224)(38, 210)(39, 212)(40, 249)(41, 222)(42, 250)(43, 251)(44, 214)(45, 215)(46, 216)(47, 218)(48, 256)(49, 257)(50, 258)(51, 259)(52, 225)(53, 261)(54, 230)(55, 231)(56, 233)(57, 265)(58, 266)(59, 267)(60, 236)(61, 237)(62, 238)(63, 239)(64, 272)(65, 273)(66, 274)(67, 275)(68, 244)(69, 277)(70, 246)(71, 247)(72, 248)(73, 281)(74, 282)(75, 283)(76, 252)(77, 253)(78, 254)(79, 255)(80, 280)(81, 286)(82, 285)(83, 284)(84, 260)(85, 287)(86, 262)(87, 263)(88, 264)(89, 270)(90, 276)(91, 288)(92, 268)(93, 269)(94, 271)(95, 279)(96, 278)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1782
Graph:: simple bipartite
	v = 108 e = 192 f = 52
	degree seq :: [ 2^96, 16^12 ]

E17.1784 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T1^-6 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 32, 47, 65, 86, 80, 95, 78, 93, 79, 94, 81, 96, 85, 64, 46, 31, 19, 10, 4)(3, 7, 15, 25, 39, 55, 75, 91, 74, 54, 72, 52, 71, 53, 73, 63, 84, 88, 66, 49, 33, 22, 12, 8)(6, 13, 9, 18, 29, 44, 61, 82, 92, 70, 60, 43, 58, 41, 57, 42, 59, 77, 87, 67, 48, 34, 21, 14)(16, 26, 17, 28, 35, 51, 68, 90, 83, 62, 45, 30, 37, 23, 36, 24, 38, 50, 69, 89, 76, 56, 40, 27)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 90)(83, 88)(84, 86)(85, 92)
	local type(s) :: { ( 8^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1785
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 48 f = 12
	degree seq :: [ 24^4 ]

E17.1785 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 24})
Quotient :: regular
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-2)^2, T1^8, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 19, 10, 4)(3, 7, 15, 25, 31, 22, 12, 8)(6, 13, 9, 18, 29, 32, 21, 14)(16, 26, 17, 28, 33, 43, 37, 27)(23, 34, 24, 36, 42, 41, 30, 35)(38, 47, 39, 49, 52, 50, 40, 48)(44, 53, 45, 55, 51, 56, 46, 54)(57, 65, 58, 67, 60, 68, 59, 66)(61, 69, 62, 71, 64, 72, 63, 70)(73, 81, 74, 83, 76, 84, 75, 82)(77, 85, 78, 87, 80, 88, 79, 86)(89, 96, 90, 95, 92, 93, 91, 94)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 31)(22, 33)(25, 37)(26, 38)(27, 39)(28, 40)(32, 42)(34, 44)(35, 45)(36, 46)(41, 51)(43, 52)(47, 57)(48, 58)(49, 59)(50, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 77)(70, 78)(71, 79)(72, 80)(81, 89)(82, 90)(83, 91)(84, 92)(85, 93)(86, 94)(87, 95)(88, 96)
	local type(s) :: { ( 24^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1784
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 12 e = 48 f = 4
	degree seq :: [ 8^12 ]

E17.1786 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map::
	R = (1, 3, 8, 17, 28, 19, 10, 4)(2, 5, 12, 22, 34, 24, 14, 6)(7, 15, 9, 18, 30, 40, 27, 16)(11, 20, 13, 23, 36, 45, 33, 21)(25, 37, 26, 39, 50, 41, 29, 38)(31, 42, 32, 44, 55, 46, 35, 43)(47, 57, 48, 59, 51, 60, 49, 58)(52, 61, 53, 63, 56, 64, 54, 62)(65, 73, 66, 75, 68, 76, 67, 74)(69, 77, 70, 79, 72, 80, 71, 78)(81, 89, 82, 91, 84, 92, 83, 90)(85, 93, 86, 95, 88, 96, 87, 94)(97, 98)(99, 103)(100, 105)(101, 107)(102, 109)(104, 110)(106, 108)(111, 121)(112, 122)(113, 123)(114, 125)(115, 126)(116, 127)(117, 128)(118, 129)(119, 131)(120, 132)(124, 130)(133, 143)(134, 144)(135, 145)(136, 146)(137, 147)(138, 148)(139, 149)(140, 150)(141, 151)(142, 152)(153, 161)(154, 162)(155, 163)(156, 164)(157, 165)(158, 166)(159, 167)(160, 168)(169, 177)(170, 178)(171, 179)(172, 180)(173, 181)(174, 182)(175, 183)(176, 184)(185, 192)(186, 190)(187, 191)(188, 189)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 48, 48 ), ( 48^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1790
Transitivity :: ET+
Graph:: simple bipartite
	v = 60 e = 96 f = 4
	degree seq :: [ 2^48, 8^12 ]

E17.1787 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^-1 * T2^-1 * T1^2 * T2^-11 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 21, 36, 52, 68, 84, 90, 74, 58, 42, 26, 41, 57, 73, 89, 88, 72, 56, 40, 25, 13, 5)(2, 7, 17, 31, 47, 63, 79, 95, 81, 65, 49, 33, 24, 37, 53, 69, 85, 96, 80, 64, 48, 32, 18, 8)(4, 11, 23, 39, 55, 71, 87, 92, 76, 60, 44, 28, 14, 27, 43, 59, 75, 91, 83, 67, 51, 35, 20, 9)(6, 15, 29, 45, 61, 77, 93, 86, 70, 54, 38, 22, 12, 19, 34, 50, 66, 82, 94, 78, 62, 46, 30, 16)(97, 98, 102, 110, 122, 120, 108, 100)(99, 105, 115, 129, 137, 124, 111, 104)(101, 107, 118, 133, 138, 123, 112, 103)(106, 114, 125, 140, 153, 145, 130, 116)(109, 113, 126, 139, 154, 149, 134, 119)(117, 131, 146, 161, 169, 156, 141, 128)(121, 135, 150, 165, 170, 155, 142, 127)(132, 144, 157, 172, 185, 177, 162, 147)(136, 143, 158, 171, 186, 181, 166, 151)(148, 163, 178, 191, 184, 188, 173, 160)(152, 167, 182, 192, 180, 187, 174, 159)(164, 176, 189, 183, 168, 175, 190, 179)
	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) :: { ( 4^8 ), ( 4^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1791
Transitivity :: ET+
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 8^12, 24^4 ]

E17.1788 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 24})
Quotient :: edge
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-6 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 30)(19, 29)(20, 33)(22, 35)(25, 40)(26, 41)(27, 42)(28, 43)(31, 39)(32, 48)(34, 50)(36, 52)(37, 53)(38, 54)(44, 62)(45, 63)(46, 61)(47, 66)(49, 68)(51, 70)(55, 76)(56, 77)(57, 78)(58, 79)(59, 80)(60, 81)(64, 75)(65, 87)(67, 89)(69, 91)(71, 93)(72, 94)(73, 95)(74, 96)(82, 90)(83, 88)(84, 86)(85, 92)(97, 98, 101, 107, 116, 128, 143, 161, 182, 176, 191, 174, 189, 175, 190, 177, 192, 181, 160, 142, 127, 115, 106, 100)(99, 103, 111, 121, 135, 151, 171, 187, 170, 150, 168, 148, 167, 149, 169, 159, 180, 184, 162, 145, 129, 118, 108, 104)(102, 109, 105, 114, 125, 140, 157, 178, 188, 166, 156, 139, 154, 137, 153, 138, 155, 173, 183, 163, 144, 130, 117, 110)(112, 122, 113, 124, 131, 147, 164, 186, 179, 158, 141, 126, 133, 119, 132, 120, 134, 146, 165, 185, 172, 152, 136, 123)
	L = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)
	local type(s) :: { ( 16, 16 ), ( 16^24 ) }
Outer automorphisms :: reflexible
Dual of E17.1789
Transitivity :: ET+
Graph:: simple bipartite
	v = 52 e = 96 f = 12
	degree seq :: [ 2^48, 24^4 ]

E17.1789 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T1 * T2^-2)^2, T2^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map::
	R = (1, 97, 3, 99, 8, 104, 17, 113, 28, 124, 19, 115, 10, 106, 4, 100)(2, 98, 5, 101, 12, 108, 22, 118, 34, 130, 24, 120, 14, 110, 6, 102)(7, 103, 15, 111, 9, 105, 18, 114, 30, 126, 40, 136, 27, 123, 16, 112)(11, 107, 20, 116, 13, 109, 23, 119, 36, 132, 45, 141, 33, 129, 21, 117)(25, 121, 37, 133, 26, 122, 39, 135, 50, 146, 41, 137, 29, 125, 38, 134)(31, 127, 42, 138, 32, 128, 44, 140, 55, 151, 46, 142, 35, 131, 43, 139)(47, 143, 57, 153, 48, 144, 59, 155, 51, 147, 60, 156, 49, 145, 58, 154)(52, 148, 61, 157, 53, 149, 63, 159, 56, 152, 64, 160, 54, 150, 62, 158)(65, 161, 73, 169, 66, 162, 75, 171, 68, 164, 76, 172, 67, 163, 74, 170)(69, 165, 77, 173, 70, 166, 79, 175, 72, 168, 80, 176, 71, 167, 78, 174)(81, 177, 89, 185, 82, 178, 91, 187, 84, 180, 92, 188, 83, 179, 90, 186)(85, 181, 93, 189, 86, 182, 95, 191, 88, 184, 96, 192, 87, 183, 94, 190)
	L = (1, 98)(2, 97)(3, 103)(4, 105)(5, 107)(6, 109)(7, 99)(8, 110)(9, 100)(10, 108)(11, 101)(12, 106)(13, 102)(14, 104)(15, 121)(16, 122)(17, 123)(18, 125)(19, 126)(20, 127)(21, 128)(22, 129)(23, 131)(24, 132)(25, 111)(26, 112)(27, 113)(28, 130)(29, 114)(30, 115)(31, 116)(32, 117)(33, 118)(34, 124)(35, 119)(36, 120)(37, 143)(38, 144)(39, 145)(40, 146)(41, 147)(42, 148)(43, 149)(44, 150)(45, 151)(46, 152)(47, 133)(48, 134)(49, 135)(50, 136)(51, 137)(52, 138)(53, 139)(54, 140)(55, 141)(56, 142)(57, 161)(58, 162)(59, 163)(60, 164)(61, 165)(62, 166)(63, 167)(64, 168)(65, 153)(66, 154)(67, 155)(68, 156)(69, 157)(70, 158)(71, 159)(72, 160)(73, 177)(74, 178)(75, 179)(76, 180)(77, 181)(78, 182)(79, 183)(80, 184)(81, 169)(82, 170)(83, 171)(84, 172)(85, 173)(86, 174)(87, 175)(88, 176)(89, 192)(90, 190)(91, 191)(92, 189)(93, 188)(94, 186)(95, 187)(96, 185)
	local type(s) :: { ( 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1788
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 12 e = 96 f = 52
	degree seq :: [ 16^12 ]

E17.1790 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2 * T1^-1)^2, T1^8, T1^-1 * T2^-1 * T1^2 * T2^-11 * T1^-1 ]
Map::
	R = (1, 97, 3, 99, 10, 106, 21, 117, 36, 132, 52, 148, 68, 164, 84, 180, 90, 186, 74, 170, 58, 154, 42, 138, 26, 122, 41, 137, 57, 153, 73, 169, 89, 185, 88, 184, 72, 168, 56, 152, 40, 136, 25, 121, 13, 109, 5, 101)(2, 98, 7, 103, 17, 113, 31, 127, 47, 143, 63, 159, 79, 175, 95, 191, 81, 177, 65, 161, 49, 145, 33, 129, 24, 120, 37, 133, 53, 149, 69, 165, 85, 181, 96, 192, 80, 176, 64, 160, 48, 144, 32, 128, 18, 114, 8, 104)(4, 100, 11, 107, 23, 119, 39, 135, 55, 151, 71, 167, 87, 183, 92, 188, 76, 172, 60, 156, 44, 140, 28, 124, 14, 110, 27, 123, 43, 139, 59, 155, 75, 171, 91, 187, 83, 179, 67, 163, 51, 147, 35, 131, 20, 116, 9, 105)(6, 102, 15, 111, 29, 125, 45, 141, 61, 157, 77, 173, 93, 189, 86, 182, 70, 166, 54, 150, 38, 134, 22, 118, 12, 108, 19, 115, 34, 130, 50, 146, 66, 162, 82, 178, 94, 190, 78, 174, 62, 158, 46, 142, 30, 126, 16, 112)
	L = (1, 98)(2, 102)(3, 105)(4, 97)(5, 107)(6, 110)(7, 101)(8, 99)(9, 115)(10, 114)(11, 118)(12, 100)(13, 113)(14, 122)(15, 104)(16, 103)(17, 126)(18, 125)(19, 129)(20, 106)(21, 131)(22, 133)(23, 109)(24, 108)(25, 135)(26, 120)(27, 112)(28, 111)(29, 140)(30, 139)(31, 121)(32, 117)(33, 137)(34, 116)(35, 146)(36, 144)(37, 138)(38, 119)(39, 150)(40, 143)(41, 124)(42, 123)(43, 154)(44, 153)(45, 128)(46, 127)(47, 158)(48, 157)(49, 130)(50, 161)(51, 132)(52, 163)(53, 134)(54, 165)(55, 136)(56, 167)(57, 145)(58, 149)(59, 142)(60, 141)(61, 172)(62, 171)(63, 152)(64, 148)(65, 169)(66, 147)(67, 178)(68, 176)(69, 170)(70, 151)(71, 182)(72, 175)(73, 156)(74, 155)(75, 186)(76, 185)(77, 160)(78, 159)(79, 190)(80, 189)(81, 162)(82, 191)(83, 164)(84, 187)(85, 166)(86, 192)(87, 168)(88, 188)(89, 177)(90, 181)(91, 174)(92, 173)(93, 183)(94, 179)(95, 184)(96, 180)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1786
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 96 f = 60
	degree seq :: [ 48^4 ]

E17.1791 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 24})
Quotient :: loop
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^2)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T1^-6 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 97, 3, 99)(2, 98, 6, 102)(4, 100, 9, 105)(5, 101, 12, 108)(7, 103, 16, 112)(8, 104, 17, 113)(10, 106, 15, 111)(11, 107, 21, 117)(13, 109, 23, 119)(14, 110, 24, 120)(18, 114, 30, 126)(19, 115, 29, 125)(20, 116, 33, 129)(22, 118, 35, 131)(25, 121, 40, 136)(26, 122, 41, 137)(27, 123, 42, 138)(28, 124, 43, 139)(31, 127, 39, 135)(32, 128, 48, 144)(34, 130, 50, 146)(36, 132, 52, 148)(37, 133, 53, 149)(38, 134, 54, 150)(44, 140, 62, 158)(45, 141, 63, 159)(46, 142, 61, 157)(47, 143, 66, 162)(49, 145, 68, 164)(51, 147, 70, 166)(55, 151, 76, 172)(56, 152, 77, 173)(57, 153, 78, 174)(58, 154, 79, 175)(59, 155, 80, 176)(60, 156, 81, 177)(64, 160, 75, 171)(65, 161, 87, 183)(67, 163, 89, 185)(69, 165, 91, 187)(71, 167, 93, 189)(72, 168, 94, 190)(73, 169, 95, 191)(74, 170, 96, 192)(82, 178, 90, 186)(83, 179, 88, 184)(84, 180, 86, 182)(85, 181, 92, 188)
	L = (1, 98)(2, 101)(3, 103)(4, 97)(5, 107)(6, 109)(7, 111)(8, 99)(9, 114)(10, 100)(11, 116)(12, 104)(13, 105)(14, 102)(15, 121)(16, 122)(17, 124)(18, 125)(19, 106)(20, 128)(21, 110)(22, 108)(23, 132)(24, 134)(25, 135)(26, 113)(27, 112)(28, 131)(29, 140)(30, 133)(31, 115)(32, 143)(33, 118)(34, 117)(35, 147)(36, 120)(37, 119)(38, 146)(39, 151)(40, 123)(41, 153)(42, 155)(43, 154)(44, 157)(45, 126)(46, 127)(47, 161)(48, 130)(49, 129)(50, 165)(51, 164)(52, 167)(53, 169)(54, 168)(55, 171)(56, 136)(57, 138)(58, 137)(59, 173)(60, 139)(61, 178)(62, 141)(63, 180)(64, 142)(65, 182)(66, 145)(67, 144)(68, 186)(69, 185)(70, 156)(71, 149)(72, 148)(73, 159)(74, 150)(75, 187)(76, 152)(77, 183)(78, 189)(79, 190)(80, 191)(81, 192)(82, 188)(83, 158)(84, 184)(85, 160)(86, 176)(87, 163)(88, 162)(89, 172)(90, 179)(91, 170)(92, 166)(93, 175)(94, 177)(95, 174)(96, 181)
	local type(s) :: { ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.1787
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.1792 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-2)^2, Y2^-1 * R * Y2^2 * R * Y2^-1, Y2^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 14, 110)(10, 106, 12, 108)(15, 111, 25, 121)(16, 112, 26, 122)(17, 113, 27, 123)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 31, 127)(21, 117, 32, 128)(22, 118, 33, 129)(23, 119, 35, 131)(24, 120, 36, 132)(28, 124, 34, 130)(37, 133, 47, 143)(38, 134, 48, 144)(39, 135, 49, 145)(40, 136, 50, 146)(41, 137, 51, 147)(42, 138, 52, 148)(43, 139, 53, 149)(44, 140, 54, 150)(45, 141, 55, 151)(46, 142, 56, 152)(57, 153, 65, 161)(58, 154, 66, 162)(59, 155, 67, 163)(60, 156, 68, 164)(61, 157, 69, 165)(62, 158, 70, 166)(63, 159, 71, 167)(64, 160, 72, 168)(73, 169, 81, 177)(74, 170, 82, 178)(75, 171, 83, 179)(76, 172, 84, 180)(77, 173, 85, 181)(78, 174, 86, 182)(79, 175, 87, 183)(80, 176, 88, 184)(89, 185, 96, 192)(90, 186, 94, 190)(91, 187, 95, 191)(92, 188, 93, 189)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 226, 322, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 201, 297, 210, 306, 222, 318, 232, 328, 219, 315, 208, 304)(203, 299, 212, 308, 205, 301, 215, 311, 228, 324, 237, 333, 225, 321, 213, 309)(217, 313, 229, 325, 218, 314, 231, 327, 242, 338, 233, 329, 221, 317, 230, 326)(223, 319, 234, 330, 224, 320, 236, 332, 247, 343, 238, 334, 227, 323, 235, 331)(239, 335, 249, 345, 240, 336, 251, 347, 243, 339, 252, 348, 241, 337, 250, 346)(244, 340, 253, 349, 245, 341, 255, 351, 248, 344, 256, 352, 246, 342, 254, 350)(257, 353, 265, 361, 258, 354, 267, 363, 260, 356, 268, 364, 259, 355, 266, 362)(261, 357, 269, 365, 262, 358, 271, 367, 264, 360, 272, 368, 263, 359, 270, 366)(273, 369, 281, 377, 274, 370, 283, 379, 276, 372, 284, 380, 275, 371, 282, 378)(277, 373, 285, 381, 278, 374, 287, 383, 280, 376, 288, 384, 279, 375, 286, 382)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 206)(9, 196)(10, 204)(11, 197)(12, 202)(13, 198)(14, 200)(15, 217)(16, 218)(17, 219)(18, 221)(19, 222)(20, 223)(21, 224)(22, 225)(23, 227)(24, 228)(25, 207)(26, 208)(27, 209)(28, 226)(29, 210)(30, 211)(31, 212)(32, 213)(33, 214)(34, 220)(35, 215)(36, 216)(37, 239)(38, 240)(39, 241)(40, 242)(41, 243)(42, 244)(43, 245)(44, 246)(45, 247)(46, 248)(47, 229)(48, 230)(49, 231)(50, 232)(51, 233)(52, 234)(53, 235)(54, 236)(55, 237)(56, 238)(57, 257)(58, 258)(59, 259)(60, 260)(61, 261)(62, 262)(63, 263)(64, 264)(65, 249)(66, 250)(67, 251)(68, 252)(69, 253)(70, 254)(71, 255)(72, 256)(73, 273)(74, 274)(75, 275)(76, 276)(77, 277)(78, 278)(79, 279)(80, 280)(81, 265)(82, 266)(83, 267)(84, 268)(85, 269)(86, 270)(87, 271)(88, 272)(89, 288)(90, 286)(91, 287)(92, 285)(93, 284)(94, 282)(95, 283)(96, 281)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 48, 2, 48 ), ( 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48, 2, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1795
Graph:: bipartite
	v = 60 e = 192 f = 100
	degree seq :: [ 4^48, 16^12 ]

E17.1793 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2 * Y1^-1)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^8, Y1^-1 * Y2^-1 * Y1^2 * Y2^-11 * Y1^-1 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 14, 110, 26, 122, 24, 120, 12, 108, 4, 100)(3, 99, 9, 105, 19, 115, 33, 129, 41, 137, 28, 124, 15, 111, 8, 104)(5, 101, 11, 107, 22, 118, 37, 133, 42, 138, 27, 123, 16, 112, 7, 103)(10, 106, 18, 114, 29, 125, 44, 140, 57, 153, 49, 145, 34, 130, 20, 116)(13, 109, 17, 113, 30, 126, 43, 139, 58, 154, 53, 149, 38, 134, 23, 119)(21, 117, 35, 131, 50, 146, 65, 161, 73, 169, 60, 156, 45, 141, 32, 128)(25, 121, 39, 135, 54, 150, 69, 165, 74, 170, 59, 155, 46, 142, 31, 127)(36, 132, 48, 144, 61, 157, 76, 172, 89, 185, 81, 177, 66, 162, 51, 147)(40, 136, 47, 143, 62, 158, 75, 171, 90, 186, 85, 181, 70, 166, 55, 151)(52, 148, 67, 163, 82, 178, 95, 191, 88, 184, 92, 188, 77, 173, 64, 160)(56, 152, 71, 167, 86, 182, 96, 192, 84, 180, 91, 187, 78, 174, 63, 159)(68, 164, 80, 176, 93, 189, 87, 183, 72, 168, 79, 175, 94, 190, 83, 179)(193, 289, 195, 291, 202, 298, 213, 309, 228, 324, 244, 340, 260, 356, 276, 372, 282, 378, 266, 362, 250, 346, 234, 330, 218, 314, 233, 329, 249, 345, 265, 361, 281, 377, 280, 376, 264, 360, 248, 344, 232, 328, 217, 313, 205, 301, 197, 293)(194, 290, 199, 295, 209, 305, 223, 319, 239, 335, 255, 351, 271, 367, 287, 383, 273, 369, 257, 353, 241, 337, 225, 321, 216, 312, 229, 325, 245, 341, 261, 357, 277, 373, 288, 384, 272, 368, 256, 352, 240, 336, 224, 320, 210, 306, 200, 296)(196, 292, 203, 299, 215, 311, 231, 327, 247, 343, 263, 359, 279, 375, 284, 380, 268, 364, 252, 348, 236, 332, 220, 316, 206, 302, 219, 315, 235, 331, 251, 347, 267, 363, 283, 379, 275, 371, 259, 355, 243, 339, 227, 323, 212, 308, 201, 297)(198, 294, 207, 303, 221, 317, 237, 333, 253, 349, 269, 365, 285, 381, 278, 374, 262, 358, 246, 342, 230, 326, 214, 310, 204, 300, 211, 307, 226, 322, 242, 338, 258, 354, 274, 370, 286, 382, 270, 366, 254, 350, 238, 334, 222, 318, 208, 304)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 213)(11, 215)(12, 211)(13, 197)(14, 219)(15, 221)(16, 198)(17, 223)(18, 200)(19, 226)(20, 201)(21, 228)(22, 204)(23, 231)(24, 229)(25, 205)(26, 233)(27, 235)(28, 206)(29, 237)(30, 208)(31, 239)(32, 210)(33, 216)(34, 242)(35, 212)(36, 244)(37, 245)(38, 214)(39, 247)(40, 217)(41, 249)(42, 218)(43, 251)(44, 220)(45, 253)(46, 222)(47, 255)(48, 224)(49, 225)(50, 258)(51, 227)(52, 260)(53, 261)(54, 230)(55, 263)(56, 232)(57, 265)(58, 234)(59, 267)(60, 236)(61, 269)(62, 238)(63, 271)(64, 240)(65, 241)(66, 274)(67, 243)(68, 276)(69, 277)(70, 246)(71, 279)(72, 248)(73, 281)(74, 250)(75, 283)(76, 252)(77, 285)(78, 254)(79, 287)(80, 256)(81, 257)(82, 286)(83, 259)(84, 282)(85, 288)(86, 262)(87, 284)(88, 264)(89, 280)(90, 266)(91, 275)(92, 268)(93, 278)(94, 270)(95, 273)(96, 272)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E17.1794
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 16^12, 48^4 ]

E17.1794 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|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)^8, Y3 * Y2 * Y3^-9 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^24 ]
Map:: polytopal
	R = (1, 97)(2, 98)(3, 99)(4, 100)(5, 101)(6, 102)(7, 103)(8, 104)(9, 105)(10, 106)(11, 107)(12, 108)(13, 109)(14, 110)(15, 111)(16, 112)(17, 113)(18, 114)(19, 115)(20, 116)(21, 117)(22, 118)(23, 119)(24, 120)(25, 121)(26, 122)(27, 123)(28, 124)(29, 125)(30, 126)(31, 127)(32, 128)(33, 129)(34, 130)(35, 131)(36, 132)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 139)(44, 140)(45, 141)(46, 142)(47, 143)(48, 144)(49, 145)(50, 146)(51, 147)(52, 148)(53, 149)(54, 150)(55, 151)(56, 152)(57, 153)(58, 154)(59, 155)(60, 156)(61, 157)(62, 158)(63, 159)(64, 160)(65, 161)(66, 162)(67, 163)(68, 164)(69, 165)(70, 166)(71, 167)(72, 168)(73, 169)(74, 170)(75, 171)(76, 172)(77, 173)(78, 174)(79, 175)(80, 176)(81, 177)(82, 178)(83, 179)(84, 180)(85, 181)(86, 182)(87, 183)(88, 184)(89, 185)(90, 186)(91, 187)(92, 188)(93, 189)(94, 190)(95, 191)(96, 192)(193, 289, 194, 290)(195, 291, 199, 295)(196, 292, 201, 297)(197, 293, 203, 299)(198, 294, 205, 301)(200, 296, 206, 302)(202, 298, 204, 300)(207, 303, 217, 313)(208, 304, 218, 314)(209, 305, 219, 315)(210, 306, 221, 317)(211, 307, 222, 318)(212, 308, 224, 320)(213, 309, 225, 321)(214, 310, 226, 322)(215, 311, 228, 324)(216, 312, 229, 325)(220, 316, 230, 326)(223, 319, 227, 323)(231, 327, 247, 343)(232, 328, 248, 344)(233, 329, 249, 345)(234, 330, 250, 346)(235, 331, 251, 347)(236, 332, 253, 349)(237, 333, 254, 350)(238, 334, 255, 351)(239, 335, 257, 353)(240, 336, 258, 354)(241, 337, 259, 355)(242, 338, 260, 356)(243, 339, 261, 357)(244, 340, 263, 359)(245, 341, 264, 360)(246, 342, 265, 361)(252, 348, 266, 362)(256, 352, 262, 358)(267, 363, 278, 374)(268, 364, 280, 376)(269, 365, 279, 375)(270, 366, 285, 381)(271, 367, 284, 380)(272, 368, 283, 379)(273, 369, 282, 378)(274, 370, 281, 377)(275, 371, 288, 384)(276, 372, 287, 383)(277, 373, 286, 382)
	L = (1, 195)(2, 197)(3, 200)(4, 193)(5, 204)(6, 194)(7, 207)(8, 209)(9, 210)(10, 196)(11, 212)(12, 214)(13, 215)(14, 198)(15, 201)(16, 199)(17, 220)(18, 222)(19, 202)(20, 205)(21, 203)(22, 227)(23, 229)(24, 206)(25, 231)(26, 233)(27, 208)(28, 235)(29, 232)(30, 237)(31, 211)(32, 239)(33, 241)(34, 213)(35, 243)(36, 240)(37, 245)(38, 216)(39, 218)(40, 217)(41, 250)(42, 219)(43, 252)(44, 221)(45, 255)(46, 223)(47, 225)(48, 224)(49, 260)(50, 226)(51, 262)(52, 228)(53, 265)(54, 230)(55, 267)(56, 269)(57, 268)(58, 271)(59, 234)(60, 273)(61, 274)(62, 236)(63, 276)(64, 238)(65, 278)(66, 280)(67, 279)(68, 282)(69, 242)(70, 284)(71, 285)(72, 244)(73, 287)(74, 246)(75, 248)(76, 247)(77, 253)(78, 249)(79, 283)(80, 251)(81, 281)(82, 288)(83, 254)(84, 286)(85, 256)(86, 258)(87, 257)(88, 263)(89, 259)(90, 272)(91, 261)(92, 270)(93, 277)(94, 264)(95, 275)(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) :: { ( 16, 48 ), ( 16, 48, 16, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1793
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.1795 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^8, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-5 ]
Map::
	R = (1, 97, 2, 98, 5, 101, 11, 107, 20, 116, 32, 128, 47, 143, 65, 161, 86, 182, 80, 176, 95, 191, 78, 174, 93, 189, 79, 175, 94, 190, 81, 177, 96, 192, 85, 181, 64, 160, 46, 142, 31, 127, 19, 115, 10, 106, 4, 100)(3, 99, 7, 103, 15, 111, 25, 121, 39, 135, 55, 151, 75, 171, 91, 187, 74, 170, 54, 150, 72, 168, 52, 148, 71, 167, 53, 149, 73, 169, 63, 159, 84, 180, 88, 184, 66, 162, 49, 145, 33, 129, 22, 118, 12, 108, 8, 104)(6, 102, 13, 109, 9, 105, 18, 114, 29, 125, 44, 140, 61, 157, 82, 178, 92, 188, 70, 166, 60, 156, 43, 139, 58, 154, 41, 137, 57, 153, 42, 138, 59, 155, 77, 173, 87, 183, 67, 163, 48, 144, 34, 130, 21, 117, 14, 110)(16, 112, 26, 122, 17, 113, 28, 124, 35, 131, 51, 147, 68, 164, 90, 186, 83, 179, 62, 158, 45, 141, 30, 126, 37, 133, 23, 119, 36, 132, 24, 120, 38, 134, 50, 146, 69, 165, 89, 185, 76, 172, 56, 152, 40, 136, 27, 123)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 198)(3, 193)(4, 201)(5, 204)(6, 194)(7, 208)(8, 209)(9, 196)(10, 207)(11, 213)(12, 197)(13, 215)(14, 216)(15, 202)(16, 199)(17, 200)(18, 222)(19, 221)(20, 225)(21, 203)(22, 227)(23, 205)(24, 206)(25, 232)(26, 233)(27, 234)(28, 235)(29, 211)(30, 210)(31, 231)(32, 240)(33, 212)(34, 242)(35, 214)(36, 244)(37, 245)(38, 246)(39, 223)(40, 217)(41, 218)(42, 219)(43, 220)(44, 254)(45, 255)(46, 253)(47, 258)(48, 224)(49, 260)(50, 226)(51, 262)(52, 228)(53, 229)(54, 230)(55, 268)(56, 269)(57, 270)(58, 271)(59, 272)(60, 273)(61, 238)(62, 236)(63, 237)(64, 267)(65, 279)(66, 239)(67, 281)(68, 241)(69, 283)(70, 243)(71, 285)(72, 286)(73, 287)(74, 288)(75, 256)(76, 247)(77, 248)(78, 249)(79, 250)(80, 251)(81, 252)(82, 282)(83, 280)(84, 278)(85, 284)(86, 276)(87, 257)(88, 275)(89, 259)(90, 274)(91, 261)(92, 277)(93, 263)(94, 264)(95, 265)(96, 266)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1792
Graph:: simple bipartite
	v = 100 e = 192 f = 60
	degree seq :: [ 2^96, 48^4 ]

E17.1796 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^2 * Y1)^2, Y2^2 * Y1 * Y2^-3 * R * Y2^4 * Y1 * Y2^-1 * R, Y2^3 * Y1 * Y2^-7 * Y1 * Y2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 97, 2, 98)(3, 99, 7, 103)(4, 100, 9, 105)(5, 101, 11, 107)(6, 102, 13, 109)(8, 104, 14, 110)(10, 106, 12, 108)(15, 111, 25, 121)(16, 112, 26, 122)(17, 113, 27, 123)(18, 114, 29, 125)(19, 115, 30, 126)(20, 116, 32, 128)(21, 117, 33, 129)(22, 118, 34, 130)(23, 119, 36, 132)(24, 120, 37, 133)(28, 124, 38, 134)(31, 127, 35, 131)(39, 135, 55, 151)(40, 136, 56, 152)(41, 137, 57, 153)(42, 138, 58, 154)(43, 139, 59, 155)(44, 140, 61, 157)(45, 141, 62, 158)(46, 142, 63, 159)(47, 143, 65, 161)(48, 144, 66, 162)(49, 145, 67, 163)(50, 146, 68, 164)(51, 147, 69, 165)(52, 148, 71, 167)(53, 149, 72, 168)(54, 150, 73, 169)(60, 156, 74, 170)(64, 160, 70, 166)(75, 171, 86, 182)(76, 172, 88, 184)(77, 173, 87, 183)(78, 174, 93, 189)(79, 175, 92, 188)(80, 176, 91, 187)(81, 177, 90, 186)(82, 178, 89, 185)(83, 179, 96, 192)(84, 180, 95, 191)(85, 181, 94, 190)(193, 289, 195, 291, 200, 296, 209, 305, 220, 316, 235, 331, 252, 348, 273, 369, 281, 377, 259, 355, 279, 375, 257, 353, 278, 374, 258, 354, 280, 376, 263, 359, 285, 381, 277, 373, 256, 352, 238, 334, 223, 319, 211, 307, 202, 298, 196, 292)(194, 290, 197, 293, 204, 300, 214, 310, 227, 323, 243, 339, 262, 358, 284, 380, 270, 366, 249, 345, 268, 364, 247, 343, 267, 363, 248, 344, 269, 365, 253, 349, 274, 370, 288, 384, 266, 362, 246, 342, 230, 326, 216, 312, 206, 302, 198, 294)(199, 295, 207, 303, 201, 297, 210, 306, 222, 318, 237, 333, 255, 351, 276, 372, 286, 382, 264, 360, 244, 340, 228, 324, 240, 336, 224, 320, 239, 335, 225, 321, 241, 337, 260, 356, 282, 378, 272, 368, 251, 347, 234, 330, 219, 315, 208, 304)(203, 299, 212, 308, 205, 301, 215, 311, 229, 325, 245, 341, 265, 361, 287, 383, 275, 371, 254, 350, 236, 332, 221, 317, 232, 328, 217, 313, 231, 327, 218, 314, 233, 329, 250, 346, 271, 367, 283, 379, 261, 357, 242, 338, 226, 322, 213, 309)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 206)(9, 196)(10, 204)(11, 197)(12, 202)(13, 198)(14, 200)(15, 217)(16, 218)(17, 219)(18, 221)(19, 222)(20, 224)(21, 225)(22, 226)(23, 228)(24, 229)(25, 207)(26, 208)(27, 209)(28, 230)(29, 210)(30, 211)(31, 227)(32, 212)(33, 213)(34, 214)(35, 223)(36, 215)(37, 216)(38, 220)(39, 247)(40, 248)(41, 249)(42, 250)(43, 251)(44, 253)(45, 254)(46, 255)(47, 257)(48, 258)(49, 259)(50, 260)(51, 261)(52, 263)(53, 264)(54, 265)(55, 231)(56, 232)(57, 233)(58, 234)(59, 235)(60, 266)(61, 236)(62, 237)(63, 238)(64, 262)(65, 239)(66, 240)(67, 241)(68, 242)(69, 243)(70, 256)(71, 244)(72, 245)(73, 246)(74, 252)(75, 278)(76, 280)(77, 279)(78, 285)(79, 284)(80, 283)(81, 282)(82, 281)(83, 288)(84, 287)(85, 286)(86, 267)(87, 269)(88, 268)(89, 274)(90, 273)(91, 272)(92, 271)(93, 270)(94, 277)(95, 276)(96, 275)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1797
Graph:: bipartite
	v = 52 e = 192 f = 108
	degree seq :: [ 4^48, 48^4 ]

E17.1797 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 24})
Quotient :: dipole
Aut^+ = (C3 x (C8 : C2)) : C2 (small group id <96, 30>)
Aut   = $<192, 381>$ (small group id <192, 381>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y1^-1 * Y3^-1 * Y1 * Y3^11 * Y1^-2, (Y3 * Y2^-1)^24 ]
Map::
	R = (1, 97, 2, 98, 6, 102, 14, 110, 26, 122, 24, 120, 12, 108, 4, 100)(3, 99, 9, 105, 19, 115, 33, 129, 41, 137, 28, 124, 15, 111, 8, 104)(5, 101, 11, 107, 22, 118, 37, 133, 42, 138, 27, 123, 16, 112, 7, 103)(10, 106, 18, 114, 29, 125, 44, 140, 57, 153, 49, 145, 34, 130, 20, 116)(13, 109, 17, 113, 30, 126, 43, 139, 58, 154, 53, 149, 38, 134, 23, 119)(21, 117, 35, 131, 50, 146, 65, 161, 73, 169, 60, 156, 45, 141, 32, 128)(25, 121, 39, 135, 54, 150, 69, 165, 74, 170, 59, 155, 46, 142, 31, 127)(36, 132, 48, 144, 61, 157, 76, 172, 89, 185, 81, 177, 66, 162, 51, 147)(40, 136, 47, 143, 62, 158, 75, 171, 90, 186, 85, 181, 70, 166, 55, 151)(52, 148, 67, 163, 82, 178, 95, 191, 88, 184, 92, 188, 77, 173, 64, 160)(56, 152, 71, 167, 86, 182, 96, 192, 84, 180, 91, 187, 78, 174, 63, 159)(68, 164, 80, 176, 93, 189, 87, 183, 72, 168, 79, 175, 94, 190, 83, 179)(193, 289)(194, 290)(195, 291)(196, 292)(197, 293)(198, 294)(199, 295)(200, 296)(201, 297)(202, 298)(203, 299)(204, 300)(205, 301)(206, 302)(207, 303)(208, 304)(209, 305)(210, 306)(211, 307)(212, 308)(213, 309)(214, 310)(215, 311)(216, 312)(217, 313)(218, 314)(219, 315)(220, 316)(221, 317)(222, 318)(223, 319)(224, 320)(225, 321)(226, 322)(227, 323)(228, 324)(229, 325)(230, 326)(231, 327)(232, 328)(233, 329)(234, 330)(235, 331)(236, 332)(237, 333)(238, 334)(239, 335)(240, 336)(241, 337)(242, 338)(243, 339)(244, 340)(245, 341)(246, 342)(247, 343)(248, 344)(249, 345)(250, 346)(251, 347)(252, 348)(253, 349)(254, 350)(255, 351)(256, 352)(257, 353)(258, 354)(259, 355)(260, 356)(261, 357)(262, 358)(263, 359)(264, 360)(265, 361)(266, 362)(267, 363)(268, 364)(269, 365)(270, 366)(271, 367)(272, 368)(273, 369)(274, 370)(275, 371)(276, 372)(277, 373)(278, 374)(279, 375)(280, 376)(281, 377)(282, 378)(283, 379)(284, 380)(285, 381)(286, 382)(287, 383)(288, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 203)(5, 193)(6, 207)(7, 209)(8, 194)(9, 196)(10, 213)(11, 215)(12, 211)(13, 197)(14, 219)(15, 221)(16, 198)(17, 223)(18, 200)(19, 226)(20, 201)(21, 228)(22, 204)(23, 231)(24, 229)(25, 205)(26, 233)(27, 235)(28, 206)(29, 237)(30, 208)(31, 239)(32, 210)(33, 216)(34, 242)(35, 212)(36, 244)(37, 245)(38, 214)(39, 247)(40, 217)(41, 249)(42, 218)(43, 251)(44, 220)(45, 253)(46, 222)(47, 255)(48, 224)(49, 225)(50, 258)(51, 227)(52, 260)(53, 261)(54, 230)(55, 263)(56, 232)(57, 265)(58, 234)(59, 267)(60, 236)(61, 269)(62, 238)(63, 271)(64, 240)(65, 241)(66, 274)(67, 243)(68, 276)(69, 277)(70, 246)(71, 279)(72, 248)(73, 281)(74, 250)(75, 283)(76, 252)(77, 285)(78, 254)(79, 287)(80, 256)(81, 257)(82, 286)(83, 259)(84, 282)(85, 288)(86, 262)(87, 284)(88, 264)(89, 280)(90, 266)(91, 275)(92, 268)(93, 278)(94, 270)(95, 273)(96, 272)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4, 48 ), ( 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48, 4, 48 ) }
Outer automorphisms :: reflexible
Dual of E17.1796
Graph:: simple bipartite
	v = 108 e = 192 f = 52
	degree seq :: [ 2^96, 16^12 ]

E17.1798 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 51})
Quotient :: regular
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^5 * T2 * T1^-10 * T2 * T1^2 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 39, 53, 65, 77, 89, 96, 85, 73, 60, 49, 33, 16, 28, 42, 35, 46, 58, 70, 82, 94, 101, 102, 97, 84, 72, 61, 48, 32, 45, 34, 17, 29, 43, 56, 68, 80, 92, 100, 88, 76, 64, 52, 38, 22, 10, 4)(3, 7, 15, 31, 47, 59, 71, 83, 95, 91, 78, 69, 55, 40, 30, 14, 6, 13, 27, 21, 37, 51, 63, 75, 87, 99, 90, 81, 67, 54, 44, 26, 12, 25, 20, 9, 19, 36, 50, 62, 74, 86, 98, 93, 79, 66, 57, 41, 24, 18, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 98)(91, 100)(93, 101)(95, 102)
	local type(s) :: { ( 6^51 ) }
Outer automorphisms :: reflexible
Dual of E17.1799
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 51 f = 17
	degree seq :: [ 51^2 ]

E17.1799 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 51})
Quotient :: regular
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2 * T1^2 * T2 * T1^-1, T1^6, T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 12, 20, 17, 8)(6, 13, 19, 18, 9, 14)(15, 23, 27, 25, 16, 24)(21, 28, 26, 30, 22, 29)(31, 37, 33, 39, 32, 38)(34, 40, 36, 42, 35, 41)(43, 49, 45, 51, 44, 50)(46, 85, 48, 89, 47, 87)(52, 91, 56, 100, 61, 94)(53, 95, 62, 99, 55, 97)(54, 86, 63, 90, 68, 88)(57, 84, 70, 83, 60, 82)(58, 96, 71, 102, 59, 92)(64, 101, 69, 98, 65, 93)(66, 81, 75, 80, 67, 79)(72, 77, 74, 76, 73, 78)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 15)(8, 16)(10, 17)(11, 19)(13, 21)(14, 22)(18, 26)(20, 27)(23, 31)(24, 32)(25, 33)(28, 34)(29, 35)(30, 36)(37, 43)(38, 44)(39, 45)(40, 46)(41, 47)(42, 48)(49, 65)(50, 69)(51, 64)(52, 92)(53, 93)(54, 97)(55, 98)(56, 96)(57, 91)(58, 85)(59, 87)(60, 94)(61, 102)(62, 101)(63, 95)(66, 86)(67, 88)(68, 99)(70, 100)(71, 89)(72, 84)(73, 82)(74, 83)(75, 90)(76, 81)(77, 79)(78, 80)
	local type(s) :: { ( 51^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1798
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 17 e = 51 f = 2
	degree seq :: [ 6^17 ]

E17.1800 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 51})
Quotient :: edge
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^51 ]
Map::
	R = (1, 3, 8, 17, 10, 4)(2, 5, 12, 21, 14, 6)(7, 15, 24, 18, 9, 16)(11, 19, 28, 22, 13, 20)(23, 31, 26, 33, 25, 32)(27, 34, 30, 36, 29, 35)(37, 43, 39, 45, 38, 44)(40, 46, 42, 48, 41, 47)(49, 57, 51, 52, 50, 55)(53, 77, 59, 76, 61, 78)(54, 85, 63, 87, 56, 82)(58, 89, 67, 91, 60, 83)(62, 93, 65, 86, 64, 84)(66, 97, 69, 90, 68, 88)(70, 95, 72, 94, 71, 92)(73, 99, 75, 98, 74, 96)(79, 102, 81, 101, 80, 100)(103, 104)(105, 109)(106, 111)(107, 113)(108, 115)(110, 114)(112, 116)(117, 125)(118, 127)(119, 126)(120, 128)(121, 129)(122, 131)(123, 130)(124, 132)(133, 139)(134, 140)(135, 141)(136, 142)(137, 143)(138, 144)(145, 151)(146, 152)(147, 153)(148, 178)(149, 179)(150, 180)(154, 184)(155, 185)(156, 186)(157, 187)(158, 188)(159, 189)(160, 190)(161, 191)(162, 192)(163, 193)(164, 194)(165, 195)(166, 196)(167, 197)(168, 198)(169, 199)(170, 200)(171, 201)(172, 202)(173, 203)(174, 204)(175, 183)(176, 181)(177, 182)
	L = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 102, 102 ), ( 102^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1804
Transitivity :: ET+
Graph:: simple bipartite
	v = 68 e = 102 f = 2
	degree seq :: [ 2^51, 6^17 ]

E17.1801 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 51})
Quotient :: edge
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^3 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-3, (T2^2 * T1^-1)^2, T1^6, T2^-2 * T1^-2 * T2^-15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 37, 49, 61, 73, 85, 97, 91, 79, 67, 55, 43, 31, 20, 13, 21, 33, 45, 57, 69, 81, 93, 102, 101, 90, 78, 66, 54, 42, 30, 18, 6, 17, 29, 41, 53, 65, 77, 89, 100, 88, 76, 64, 52, 40, 28, 15, 5)(2, 7, 19, 32, 44, 56, 68, 80, 92, 95, 83, 71, 59, 47, 35, 23, 9, 4, 12, 26, 38, 50, 62, 74, 86, 98, 96, 84, 72, 60, 48, 36, 24, 11, 16, 14, 27, 39, 51, 63, 75, 87, 99, 94, 82, 70, 58, 46, 34, 22, 8)(103, 104, 108, 118, 115, 106)(105, 111, 119, 110, 123, 113)(107, 116, 120, 114, 122, 109)(112, 126, 131, 125, 135, 124)(117, 128, 132, 121, 133, 129)(127, 136, 143, 138, 147, 137)(130, 134, 144, 141, 145, 140)(139, 149, 155, 148, 159, 150)(142, 153, 156, 152, 157, 146)(151, 162, 167, 161, 171, 160)(154, 164, 168, 158, 169, 165)(163, 172, 179, 174, 183, 173)(166, 170, 180, 177, 181, 176)(175, 185, 191, 184, 195, 186)(178, 189, 192, 188, 193, 182)(187, 198, 202, 197, 204, 196)(190, 200, 203, 194, 199, 201)
	L = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 4^6 ), ( 4^51 ) }
Outer automorphisms :: reflexible
Dual of E17.1805
Transitivity :: ET+
Graph:: bipartite
	v = 19 e = 102 f = 51
	degree seq :: [ 6^17, 51^2 ]

E17.1802 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 51})
Quotient :: edge
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^5 * T2 * T1^-10 * T2 * T1^2 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 35)(19, 33)(20, 34)(22, 31)(23, 40)(25, 42)(26, 43)(27, 45)(30, 46)(36, 48)(37, 49)(38, 50)(39, 54)(41, 56)(44, 58)(47, 60)(51, 61)(52, 63)(53, 66)(55, 68)(57, 70)(59, 72)(62, 73)(64, 71)(65, 78)(67, 80)(69, 82)(74, 84)(75, 85)(76, 86)(77, 90)(79, 92)(81, 94)(83, 96)(87, 97)(88, 99)(89, 98)(91, 100)(93, 101)(95, 102)(103, 104, 107, 113, 125, 141, 155, 167, 179, 191, 198, 187, 175, 162, 151, 135, 118, 130, 144, 137, 148, 160, 172, 184, 196, 203, 204, 199, 186, 174, 163, 150, 134, 147, 136, 119, 131, 145, 158, 170, 182, 194, 202, 190, 178, 166, 154, 140, 124, 112, 106)(105, 109, 117, 133, 149, 161, 173, 185, 197, 193, 180, 171, 157, 142, 132, 116, 108, 115, 129, 123, 139, 153, 165, 177, 189, 201, 192, 183, 169, 156, 146, 128, 114, 127, 122, 111, 121, 138, 152, 164, 176, 188, 200, 195, 181, 168, 159, 143, 126, 120, 110)
	L = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)
	local type(s) :: { ( 12, 12 ), ( 12^51 ) }
Outer automorphisms :: reflexible
Dual of E17.1803
Transitivity :: ET+
Graph:: simple bipartite
	v = 53 e = 102 f = 17
	degree seq :: [ 2^51, 51^2 ]

E17.1803 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 51})
Quotient :: loop
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^-1 * T1 * T2^2 * T1 * T2^-1, T2^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1)^51 ]
Map::
	R = (1, 103, 3, 105, 8, 110, 17, 119, 10, 112, 4, 106)(2, 104, 5, 107, 12, 114, 21, 123, 14, 116, 6, 108)(7, 109, 15, 117, 24, 126, 18, 120, 9, 111, 16, 118)(11, 113, 19, 121, 28, 130, 22, 124, 13, 115, 20, 122)(23, 125, 31, 133, 26, 128, 33, 135, 25, 127, 32, 134)(27, 129, 34, 136, 30, 132, 36, 138, 29, 131, 35, 137)(37, 139, 43, 145, 39, 141, 45, 147, 38, 140, 44, 146)(40, 142, 46, 148, 42, 144, 48, 150, 41, 143, 47, 149)(49, 151, 55, 157, 51, 153, 57, 159, 50, 152, 52, 154)(53, 155, 76, 178, 59, 161, 78, 180, 61, 163, 77, 179)(54, 156, 85, 187, 63, 165, 87, 189, 56, 158, 82, 184)(58, 160, 89, 191, 67, 169, 91, 193, 60, 162, 83, 185)(62, 164, 93, 195, 65, 167, 86, 188, 64, 166, 84, 186)(66, 168, 97, 199, 69, 171, 90, 192, 68, 170, 88, 190)(70, 172, 95, 197, 72, 174, 94, 196, 71, 173, 92, 194)(73, 175, 99, 201, 75, 177, 98, 200, 74, 176, 96, 198)(79, 181, 102, 204, 81, 183, 101, 203, 80, 182, 100, 202)
	L = (1, 104)(2, 103)(3, 109)(4, 111)(5, 113)(6, 115)(7, 105)(8, 114)(9, 106)(10, 116)(11, 107)(12, 110)(13, 108)(14, 112)(15, 125)(16, 127)(17, 126)(18, 128)(19, 129)(20, 131)(21, 130)(22, 132)(23, 117)(24, 119)(25, 118)(26, 120)(27, 121)(28, 123)(29, 122)(30, 124)(31, 139)(32, 140)(33, 141)(34, 142)(35, 143)(36, 144)(37, 133)(38, 134)(39, 135)(40, 136)(41, 137)(42, 138)(43, 151)(44, 152)(45, 153)(46, 178)(47, 179)(48, 180)(49, 145)(50, 146)(51, 147)(52, 184)(53, 185)(54, 186)(55, 187)(56, 188)(57, 189)(58, 190)(59, 191)(60, 192)(61, 193)(62, 194)(63, 195)(64, 196)(65, 197)(66, 198)(67, 199)(68, 200)(69, 201)(70, 202)(71, 203)(72, 204)(73, 183)(74, 181)(75, 182)(76, 148)(77, 149)(78, 150)(79, 176)(80, 177)(81, 175)(82, 154)(83, 155)(84, 156)(85, 157)(86, 158)(87, 159)(88, 160)(89, 161)(90, 162)(91, 163)(92, 164)(93, 165)(94, 166)(95, 167)(96, 168)(97, 169)(98, 170)(99, 171)(100, 172)(101, 173)(102, 174)
	local type(s) :: { ( 2, 51, 2, 51, 2, 51, 2, 51, 2, 51, 2, 51 ) }
Outer automorphisms :: reflexible
Dual of E17.1802
Transitivity :: ET+ VT+ AT
Graph::
	v = 17 e = 102 f = 53
	degree seq :: [ 12^17 ]

E17.1804 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 51})
Quotient :: loop
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1 * T2^-1 * T1^3 * T2^-1, T2^-1 * T1 * T2^-1 * T1^-3, (T2^2 * T1^-1)^2, T1^6, T2^-2 * T1^-2 * T2^-15 ]
Map::
	R = (1, 103, 3, 105, 10, 112, 25, 127, 37, 139, 49, 151, 61, 163, 73, 175, 85, 187, 97, 199, 91, 193, 79, 181, 67, 169, 55, 157, 43, 145, 31, 133, 20, 122, 13, 115, 21, 123, 33, 135, 45, 147, 57, 159, 69, 171, 81, 183, 93, 195, 102, 204, 101, 203, 90, 192, 78, 180, 66, 168, 54, 156, 42, 144, 30, 132, 18, 120, 6, 108, 17, 119, 29, 131, 41, 143, 53, 155, 65, 167, 77, 179, 89, 191, 100, 202, 88, 190, 76, 178, 64, 166, 52, 154, 40, 142, 28, 130, 15, 117, 5, 107)(2, 104, 7, 109, 19, 121, 32, 134, 44, 146, 56, 158, 68, 170, 80, 182, 92, 194, 95, 197, 83, 185, 71, 173, 59, 161, 47, 149, 35, 137, 23, 125, 9, 111, 4, 106, 12, 114, 26, 128, 38, 140, 50, 152, 62, 164, 74, 176, 86, 188, 98, 200, 96, 198, 84, 186, 72, 174, 60, 162, 48, 150, 36, 138, 24, 126, 11, 113, 16, 118, 14, 116, 27, 129, 39, 141, 51, 153, 63, 165, 75, 177, 87, 189, 99, 201, 94, 196, 82, 184, 70, 172, 58, 160, 46, 148, 34, 136, 22, 124, 8, 110)
	L = (1, 104)(2, 108)(3, 111)(4, 103)(5, 116)(6, 118)(7, 107)(8, 123)(9, 119)(10, 126)(11, 105)(12, 122)(13, 106)(14, 120)(15, 128)(16, 115)(17, 110)(18, 114)(19, 133)(20, 109)(21, 113)(22, 112)(23, 135)(24, 131)(25, 136)(26, 132)(27, 117)(28, 134)(29, 125)(30, 121)(31, 129)(32, 144)(33, 124)(34, 143)(35, 127)(36, 147)(37, 149)(38, 130)(39, 145)(40, 153)(41, 138)(42, 141)(43, 140)(44, 142)(45, 137)(46, 159)(47, 155)(48, 139)(49, 162)(50, 157)(51, 156)(52, 164)(53, 148)(54, 152)(55, 146)(56, 169)(57, 150)(58, 151)(59, 171)(60, 167)(61, 172)(62, 168)(63, 154)(64, 170)(65, 161)(66, 158)(67, 165)(68, 180)(69, 160)(70, 179)(71, 163)(72, 183)(73, 185)(74, 166)(75, 181)(76, 189)(77, 174)(78, 177)(79, 176)(80, 178)(81, 173)(82, 195)(83, 191)(84, 175)(85, 198)(86, 193)(87, 192)(88, 200)(89, 184)(90, 188)(91, 182)(92, 199)(93, 186)(94, 187)(95, 204)(96, 202)(97, 201)(98, 203)(99, 190)(100, 197)(101, 194)(102, 196)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.1800
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 102 f = 68
	degree seq :: [ 102^2 ]

E17.1805 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 51})
Quotient :: loop
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-3)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1^5 * T2 * T1^-10 * T2 * T1^2 ]
Map:: polytopal non-degenerate
	R = (1, 103, 3, 105)(2, 104, 6, 108)(4, 106, 9, 111)(5, 107, 12, 114)(7, 109, 16, 118)(8, 110, 17, 119)(10, 112, 21, 123)(11, 113, 24, 126)(13, 115, 28, 130)(14, 116, 29, 131)(15, 117, 32, 134)(18, 120, 35, 137)(19, 121, 33, 135)(20, 122, 34, 136)(22, 124, 31, 133)(23, 125, 40, 142)(25, 127, 42, 144)(26, 128, 43, 145)(27, 129, 45, 147)(30, 132, 46, 148)(36, 138, 48, 150)(37, 139, 49, 151)(38, 140, 50, 152)(39, 141, 54, 156)(41, 143, 56, 158)(44, 146, 58, 160)(47, 149, 60, 162)(51, 153, 61, 163)(52, 154, 63, 165)(53, 155, 66, 168)(55, 157, 68, 170)(57, 159, 70, 172)(59, 161, 72, 174)(62, 164, 73, 175)(64, 166, 71, 173)(65, 167, 78, 180)(67, 169, 80, 182)(69, 171, 82, 184)(74, 176, 84, 186)(75, 177, 85, 187)(76, 178, 86, 188)(77, 179, 90, 192)(79, 181, 92, 194)(81, 183, 94, 196)(83, 185, 96, 198)(87, 189, 97, 199)(88, 190, 99, 201)(89, 191, 98, 200)(91, 193, 100, 202)(93, 195, 101, 203)(95, 197, 102, 204)
	L = (1, 104)(2, 107)(3, 109)(4, 103)(5, 113)(6, 115)(7, 117)(8, 105)(9, 121)(10, 106)(11, 125)(12, 127)(13, 129)(14, 108)(15, 133)(16, 130)(17, 131)(18, 110)(19, 138)(20, 111)(21, 139)(22, 112)(23, 141)(24, 120)(25, 122)(26, 114)(27, 123)(28, 144)(29, 145)(30, 116)(31, 149)(32, 147)(33, 118)(34, 119)(35, 148)(36, 152)(37, 153)(38, 124)(39, 155)(40, 132)(41, 126)(42, 137)(43, 158)(44, 128)(45, 136)(46, 160)(47, 161)(48, 134)(49, 135)(50, 164)(51, 165)(52, 140)(53, 167)(54, 146)(55, 142)(56, 170)(57, 143)(58, 172)(59, 173)(60, 151)(61, 150)(62, 176)(63, 177)(64, 154)(65, 179)(66, 159)(67, 156)(68, 182)(69, 157)(70, 184)(71, 185)(72, 163)(73, 162)(74, 188)(75, 189)(76, 166)(77, 191)(78, 171)(79, 168)(80, 194)(81, 169)(82, 196)(83, 197)(84, 174)(85, 175)(86, 200)(87, 201)(88, 178)(89, 198)(90, 183)(91, 180)(92, 202)(93, 181)(94, 203)(95, 193)(96, 187)(97, 186)(98, 195)(99, 192)(100, 190)(101, 204)(102, 199)
	local type(s) :: { ( 6, 51, 6, 51 ) }
Outer automorphisms :: reflexible
Dual of E17.1801
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 51 e = 102 f = 19
	degree seq :: [ 4^51 ]

E17.1806 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 51})
Quotient :: dipole
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^6, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^51 ]
Map::
	R = (1, 103, 2, 104)(3, 105, 7, 109)(4, 106, 9, 111)(5, 107, 11, 113)(6, 108, 13, 115)(8, 110, 12, 114)(10, 112, 14, 116)(15, 117, 23, 125)(16, 118, 25, 127)(17, 119, 24, 126)(18, 120, 26, 128)(19, 121, 27, 129)(20, 122, 29, 131)(21, 123, 28, 130)(22, 124, 30, 132)(31, 133, 37, 139)(32, 134, 38, 140)(33, 135, 39, 141)(34, 136, 40, 142)(35, 137, 41, 143)(36, 138, 42, 144)(43, 145, 49, 151)(44, 146, 50, 152)(45, 147, 51, 153)(46, 148, 82, 184)(47, 149, 83, 185)(48, 150, 84, 186)(52, 154, 88, 190)(53, 155, 91, 193)(54, 156, 92, 194)(55, 157, 93, 195)(56, 158, 89, 191)(57, 159, 90, 192)(58, 160, 94, 196)(59, 161, 95, 197)(60, 162, 97, 199)(61, 163, 98, 200)(62, 164, 85, 187)(63, 165, 99, 201)(64, 166, 86, 188)(65, 167, 101, 203)(66, 168, 100, 202)(67, 169, 96, 198)(68, 170, 81, 183)(69, 171, 102, 204)(70, 172, 79, 181)(71, 173, 80, 182)(72, 174, 78, 180)(73, 175, 87, 189)(74, 176, 76, 178)(75, 177, 77, 179)(205, 307, 207, 309, 212, 314, 221, 323, 214, 316, 208, 310)(206, 308, 209, 311, 216, 318, 225, 327, 218, 320, 210, 312)(211, 313, 219, 321, 228, 330, 222, 324, 213, 315, 220, 322)(215, 317, 223, 325, 232, 334, 226, 328, 217, 319, 224, 326)(227, 329, 235, 337, 230, 332, 237, 339, 229, 331, 236, 338)(231, 333, 238, 340, 234, 336, 240, 342, 233, 335, 239, 341)(241, 343, 247, 349, 243, 345, 249, 351, 242, 344, 248, 350)(244, 346, 250, 352, 246, 348, 252, 354, 245, 347, 251, 353)(253, 355, 260, 362, 255, 357, 271, 373, 254, 356, 261, 363)(256, 358, 293, 395, 263, 365, 300, 402, 265, 367, 294, 396)(257, 359, 296, 398, 267, 369, 304, 406, 269, 371, 297, 399)(258, 360, 288, 390, 270, 372, 287, 389, 259, 361, 286, 388)(262, 364, 299, 401, 273, 375, 302, 404, 264, 366, 292, 394)(266, 368, 303, 405, 277, 379, 305, 407, 268, 370, 295, 397)(272, 374, 306, 408, 275, 377, 301, 403, 274, 376, 298, 400)(276, 378, 291, 393, 279, 381, 290, 392, 278, 380, 289, 391)(280, 382, 284, 386, 282, 384, 283, 385, 281, 383, 285, 387)
	L = (1, 206)(2, 205)(3, 211)(4, 213)(5, 215)(6, 217)(7, 207)(8, 216)(9, 208)(10, 218)(11, 209)(12, 212)(13, 210)(14, 214)(15, 227)(16, 229)(17, 228)(18, 230)(19, 231)(20, 233)(21, 232)(22, 234)(23, 219)(24, 221)(25, 220)(26, 222)(27, 223)(28, 225)(29, 224)(30, 226)(31, 241)(32, 242)(33, 243)(34, 244)(35, 245)(36, 246)(37, 235)(38, 236)(39, 237)(40, 238)(41, 239)(42, 240)(43, 253)(44, 254)(45, 255)(46, 286)(47, 287)(48, 288)(49, 247)(50, 248)(51, 249)(52, 292)(53, 295)(54, 296)(55, 297)(56, 293)(57, 294)(58, 298)(59, 299)(60, 301)(61, 302)(62, 289)(63, 303)(64, 290)(65, 305)(66, 304)(67, 300)(68, 285)(69, 306)(70, 283)(71, 284)(72, 282)(73, 291)(74, 280)(75, 281)(76, 278)(77, 279)(78, 276)(79, 274)(80, 275)(81, 272)(82, 250)(83, 251)(84, 252)(85, 266)(86, 268)(87, 277)(88, 256)(89, 260)(90, 261)(91, 257)(92, 258)(93, 259)(94, 262)(95, 263)(96, 271)(97, 264)(98, 265)(99, 267)(100, 270)(101, 269)(102, 273)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 2, 102, 2, 102 ), ( 2, 102, 2, 102, 2, 102, 2, 102, 2, 102, 2, 102 ) }
Outer automorphisms :: reflexible
Dual of E17.1809
Graph:: bipartite
	v = 68 e = 204 f = 104
	degree seq :: [ 4^51, 12^17 ]

E17.1807 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 51})
Quotient :: dipole
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y2^-1 * Y1^-1)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2, Y2^-1 * Y1^3 * Y2^-1 * Y1, Y1^6, Y2^-1 * Y1^-1 * Y2^15 * Y1^-1 * Y2^-1 ]
Map::
	R = (1, 103, 2, 104, 6, 108, 16, 118, 13, 115, 4, 106)(3, 105, 9, 111, 17, 119, 8, 110, 21, 123, 11, 113)(5, 107, 14, 116, 18, 120, 12, 114, 20, 122, 7, 109)(10, 112, 24, 126, 29, 131, 23, 125, 33, 135, 22, 124)(15, 117, 26, 128, 30, 132, 19, 121, 31, 133, 27, 129)(25, 127, 34, 136, 41, 143, 36, 138, 45, 147, 35, 137)(28, 130, 32, 134, 42, 144, 39, 141, 43, 145, 38, 140)(37, 139, 47, 149, 53, 155, 46, 148, 57, 159, 48, 150)(40, 142, 51, 153, 54, 156, 50, 152, 55, 157, 44, 146)(49, 151, 60, 162, 65, 167, 59, 161, 69, 171, 58, 160)(52, 154, 62, 164, 66, 168, 56, 158, 67, 169, 63, 165)(61, 163, 70, 172, 77, 179, 72, 174, 81, 183, 71, 173)(64, 166, 68, 170, 78, 180, 75, 177, 79, 181, 74, 176)(73, 175, 83, 185, 89, 191, 82, 184, 93, 195, 84, 186)(76, 178, 87, 189, 90, 192, 86, 188, 91, 193, 80, 182)(85, 187, 96, 198, 100, 202, 95, 197, 102, 204, 94, 196)(88, 190, 98, 200, 101, 203, 92, 194, 97, 199, 99, 201)(205, 307, 207, 309, 214, 316, 229, 331, 241, 343, 253, 355, 265, 367, 277, 379, 289, 391, 301, 403, 295, 397, 283, 385, 271, 373, 259, 361, 247, 349, 235, 337, 224, 326, 217, 319, 225, 327, 237, 339, 249, 351, 261, 363, 273, 375, 285, 387, 297, 399, 306, 408, 305, 407, 294, 396, 282, 384, 270, 372, 258, 360, 246, 348, 234, 336, 222, 324, 210, 312, 221, 323, 233, 335, 245, 347, 257, 359, 269, 371, 281, 383, 293, 395, 304, 406, 292, 394, 280, 382, 268, 370, 256, 358, 244, 346, 232, 334, 219, 321, 209, 311)(206, 308, 211, 313, 223, 325, 236, 338, 248, 350, 260, 362, 272, 374, 284, 386, 296, 398, 299, 401, 287, 389, 275, 377, 263, 365, 251, 353, 239, 341, 227, 329, 213, 315, 208, 310, 216, 318, 230, 332, 242, 344, 254, 356, 266, 368, 278, 380, 290, 392, 302, 404, 300, 402, 288, 390, 276, 378, 264, 366, 252, 354, 240, 342, 228, 330, 215, 317, 220, 322, 218, 320, 231, 333, 243, 345, 255, 357, 267, 369, 279, 381, 291, 393, 303, 405, 298, 400, 286, 388, 274, 376, 262, 364, 250, 352, 238, 340, 226, 328, 212, 314)
	L = (1, 207)(2, 211)(3, 214)(4, 216)(5, 205)(6, 221)(7, 223)(8, 206)(9, 208)(10, 229)(11, 220)(12, 230)(13, 225)(14, 231)(15, 209)(16, 218)(17, 233)(18, 210)(19, 236)(20, 217)(21, 237)(22, 212)(23, 213)(24, 215)(25, 241)(26, 242)(27, 243)(28, 219)(29, 245)(30, 222)(31, 224)(32, 248)(33, 249)(34, 226)(35, 227)(36, 228)(37, 253)(38, 254)(39, 255)(40, 232)(41, 257)(42, 234)(43, 235)(44, 260)(45, 261)(46, 238)(47, 239)(48, 240)(49, 265)(50, 266)(51, 267)(52, 244)(53, 269)(54, 246)(55, 247)(56, 272)(57, 273)(58, 250)(59, 251)(60, 252)(61, 277)(62, 278)(63, 279)(64, 256)(65, 281)(66, 258)(67, 259)(68, 284)(69, 285)(70, 262)(71, 263)(72, 264)(73, 289)(74, 290)(75, 291)(76, 268)(77, 293)(78, 270)(79, 271)(80, 296)(81, 297)(82, 274)(83, 275)(84, 276)(85, 301)(86, 302)(87, 303)(88, 280)(89, 304)(90, 282)(91, 283)(92, 299)(93, 306)(94, 286)(95, 287)(96, 288)(97, 295)(98, 300)(99, 298)(100, 292)(101, 294)(102, 305)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1808
Graph:: bipartite
	v = 19 e = 204 f = 153
	degree seq :: [ 12^17, 102^2 ]

E17.1808 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 51})
Quotient :: dipole
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^3 * Y2)^2, Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, Y3^3 * Y2 * Y3^-13 * Y2 * Y3, (Y3^-1 * Y1^-1)^51 ]
Map:: polytopal
	R = (1, 103)(2, 104)(3, 105)(4, 106)(5, 107)(6, 108)(7, 109)(8, 110)(9, 111)(10, 112)(11, 113)(12, 114)(13, 115)(14, 116)(15, 117)(16, 118)(17, 119)(18, 120)(19, 121)(20, 122)(21, 123)(22, 124)(23, 125)(24, 126)(25, 127)(26, 128)(27, 129)(28, 130)(29, 131)(30, 132)(31, 133)(32, 134)(33, 135)(34, 136)(35, 137)(36, 138)(37, 139)(38, 140)(39, 141)(40, 142)(41, 143)(42, 144)(43, 145)(44, 146)(45, 147)(46, 148)(47, 149)(48, 150)(49, 151)(50, 152)(51, 153)(52, 154)(53, 155)(54, 156)(55, 157)(56, 158)(57, 159)(58, 160)(59, 161)(60, 162)(61, 163)(62, 164)(63, 165)(64, 166)(65, 167)(66, 168)(67, 169)(68, 170)(69, 171)(70, 172)(71, 173)(72, 174)(73, 175)(74, 176)(75, 177)(76, 178)(77, 179)(78, 180)(79, 181)(80, 182)(81, 183)(82, 184)(83, 185)(84, 186)(85, 187)(86, 188)(87, 189)(88, 190)(89, 191)(90, 192)(91, 193)(92, 194)(93, 195)(94, 196)(95, 197)(96, 198)(97, 199)(98, 200)(99, 201)(100, 202)(101, 203)(102, 204)(205, 307, 206, 308)(207, 309, 211, 313)(208, 310, 213, 315)(209, 311, 215, 317)(210, 312, 217, 319)(212, 314, 221, 323)(214, 316, 225, 327)(216, 318, 229, 331)(218, 320, 233, 335)(219, 321, 227, 329)(220, 322, 231, 333)(222, 324, 234, 336)(223, 325, 228, 330)(224, 326, 232, 334)(226, 328, 230, 332)(235, 337, 245, 347)(236, 338, 249, 351)(237, 339, 243, 345)(238, 340, 248, 350)(239, 341, 251, 353)(240, 342, 246, 348)(241, 343, 244, 346)(242, 344, 254, 356)(247, 349, 257, 359)(250, 352, 260, 362)(252, 354, 261, 363)(253, 355, 264, 366)(255, 357, 258, 360)(256, 358, 267, 369)(259, 361, 270, 372)(262, 364, 273, 375)(263, 365, 272, 374)(265, 367, 274, 376)(266, 368, 269, 371)(268, 370, 271, 373)(275, 377, 285, 387)(276, 378, 284, 386)(277, 379, 287, 389)(278, 380, 282, 384)(279, 381, 281, 383)(280, 382, 290, 392)(283, 385, 293, 395)(286, 388, 296, 398)(288, 390, 297, 399)(289, 391, 300, 402)(291, 393, 294, 396)(292, 394, 303, 405)(295, 397, 305, 407)(298, 400, 306, 408)(299, 401, 304, 406)(301, 403, 302, 404)
	L = (1, 207)(2, 209)(3, 212)(4, 205)(5, 216)(6, 206)(7, 219)(8, 222)(9, 223)(10, 208)(11, 227)(12, 230)(13, 231)(14, 210)(15, 235)(16, 211)(17, 237)(18, 239)(19, 240)(20, 213)(21, 241)(22, 214)(23, 243)(24, 215)(25, 245)(26, 247)(27, 248)(28, 217)(29, 249)(30, 218)(31, 225)(32, 220)(33, 224)(34, 221)(35, 253)(36, 254)(37, 255)(38, 226)(39, 233)(40, 228)(41, 232)(42, 229)(43, 259)(44, 260)(45, 261)(46, 234)(47, 236)(48, 238)(49, 265)(50, 266)(51, 267)(52, 242)(53, 244)(54, 246)(55, 271)(56, 272)(57, 273)(58, 250)(59, 251)(60, 252)(61, 277)(62, 278)(63, 279)(64, 256)(65, 257)(66, 258)(67, 283)(68, 284)(69, 285)(70, 262)(71, 263)(72, 264)(73, 289)(74, 290)(75, 291)(76, 268)(77, 269)(78, 270)(79, 295)(80, 296)(81, 297)(82, 274)(83, 275)(84, 276)(85, 301)(86, 302)(87, 303)(88, 280)(89, 281)(90, 282)(91, 299)(92, 304)(93, 306)(94, 286)(95, 287)(96, 288)(97, 293)(98, 298)(99, 300)(100, 292)(101, 294)(102, 305)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 12, 102 ), ( 12, 102, 12, 102 ) }
Outer automorphisms :: reflexible
Dual of E17.1807
Graph:: simple bipartite
	v = 153 e = 204 f = 19
	degree seq :: [ 2^102, 4^51 ]

E17.1809 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 51})
Quotient :: dipole
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|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 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, (Y1^-1 * Y3 * Y1^-2)^2, Y1^4 * Y3 * Y1^-4 * Y3 * Y1^9 ]
Map::
	R = (1, 103, 2, 104, 5, 107, 11, 113, 23, 125, 39, 141, 53, 155, 65, 167, 77, 179, 89, 191, 96, 198, 85, 187, 73, 175, 60, 162, 49, 151, 33, 135, 16, 118, 28, 130, 42, 144, 35, 137, 46, 148, 58, 160, 70, 172, 82, 184, 94, 196, 101, 203, 102, 204, 97, 199, 84, 186, 72, 174, 61, 163, 48, 150, 32, 134, 45, 147, 34, 136, 17, 119, 29, 131, 43, 145, 56, 158, 68, 170, 80, 182, 92, 194, 100, 202, 88, 190, 76, 178, 64, 166, 52, 154, 38, 140, 22, 124, 10, 112, 4, 106)(3, 105, 7, 109, 15, 117, 31, 133, 47, 149, 59, 161, 71, 173, 83, 185, 95, 197, 91, 193, 78, 180, 69, 171, 55, 157, 40, 142, 30, 132, 14, 116, 6, 108, 13, 115, 27, 129, 21, 123, 37, 139, 51, 153, 63, 165, 75, 177, 87, 189, 99, 201, 90, 192, 81, 183, 67, 169, 54, 156, 44, 146, 26, 128, 12, 114, 25, 127, 20, 122, 9, 111, 19, 121, 36, 138, 50, 152, 62, 164, 74, 176, 86, 188, 98, 200, 93, 195, 79, 181, 66, 168, 57, 159, 41, 143, 24, 126, 18, 120, 8, 110)(205, 307)(206, 308)(207, 309)(208, 310)(209, 311)(210, 312)(211, 313)(212, 314)(213, 315)(214, 316)(215, 317)(216, 318)(217, 319)(218, 320)(219, 321)(220, 322)(221, 323)(222, 324)(223, 325)(224, 326)(225, 327)(226, 328)(227, 329)(228, 330)(229, 331)(230, 332)(231, 333)(232, 334)(233, 335)(234, 336)(235, 337)(236, 338)(237, 339)(238, 340)(239, 341)(240, 342)(241, 343)(242, 344)(243, 345)(244, 346)(245, 347)(246, 348)(247, 349)(248, 350)(249, 351)(250, 352)(251, 353)(252, 354)(253, 355)(254, 356)(255, 357)(256, 358)(257, 359)(258, 360)(259, 361)(260, 362)(261, 363)(262, 364)(263, 365)(264, 366)(265, 367)(266, 368)(267, 369)(268, 370)(269, 371)(270, 372)(271, 373)(272, 374)(273, 375)(274, 376)(275, 377)(276, 378)(277, 379)(278, 380)(279, 381)(280, 382)(281, 383)(282, 384)(283, 385)(284, 386)(285, 387)(286, 388)(287, 389)(288, 390)(289, 391)(290, 392)(291, 393)(292, 394)(293, 395)(294, 396)(295, 397)(296, 398)(297, 399)(298, 400)(299, 401)(300, 402)(301, 403)(302, 404)(303, 405)(304, 406)(305, 407)(306, 408)
	L = (1, 207)(2, 210)(3, 205)(4, 213)(5, 216)(6, 206)(7, 220)(8, 221)(9, 208)(10, 225)(11, 228)(12, 209)(13, 232)(14, 233)(15, 236)(16, 211)(17, 212)(18, 239)(19, 237)(20, 238)(21, 214)(22, 235)(23, 244)(24, 215)(25, 246)(26, 247)(27, 249)(28, 217)(29, 218)(30, 250)(31, 226)(32, 219)(33, 223)(34, 224)(35, 222)(36, 252)(37, 253)(38, 254)(39, 258)(40, 227)(41, 260)(42, 229)(43, 230)(44, 262)(45, 231)(46, 234)(47, 264)(48, 240)(49, 241)(50, 242)(51, 265)(52, 267)(53, 270)(54, 243)(55, 272)(56, 245)(57, 274)(58, 248)(59, 276)(60, 251)(61, 255)(62, 277)(63, 256)(64, 275)(65, 282)(66, 257)(67, 284)(68, 259)(69, 286)(70, 261)(71, 268)(72, 263)(73, 266)(74, 288)(75, 289)(76, 290)(77, 294)(78, 269)(79, 296)(80, 271)(81, 298)(82, 273)(83, 300)(84, 278)(85, 279)(86, 280)(87, 301)(88, 303)(89, 302)(90, 281)(91, 304)(92, 283)(93, 305)(94, 285)(95, 306)(96, 287)(97, 291)(98, 293)(99, 292)(100, 295)(101, 297)(102, 299)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1806
Graph:: simple bipartite
	v = 104 e = 204 f = 68
	degree seq :: [ 2^102, 102^2 ]

E17.1810 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 51})
Quotient :: dipole
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^3 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^6, Y2^16 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 103, 2, 104)(3, 105, 7, 109)(4, 106, 9, 111)(5, 107, 11, 113)(6, 108, 13, 115)(8, 110, 17, 119)(10, 112, 21, 123)(12, 114, 25, 127)(14, 116, 29, 131)(15, 117, 23, 125)(16, 118, 27, 129)(18, 120, 30, 132)(19, 121, 24, 126)(20, 122, 28, 130)(22, 124, 26, 128)(31, 133, 41, 143)(32, 134, 45, 147)(33, 135, 39, 141)(34, 136, 44, 146)(35, 137, 47, 149)(36, 138, 42, 144)(37, 139, 40, 142)(38, 140, 50, 152)(43, 145, 53, 155)(46, 148, 56, 158)(48, 150, 57, 159)(49, 151, 60, 162)(51, 153, 54, 156)(52, 154, 63, 165)(55, 157, 66, 168)(58, 160, 69, 171)(59, 161, 68, 170)(61, 163, 70, 172)(62, 164, 65, 167)(64, 166, 67, 169)(71, 173, 81, 183)(72, 174, 80, 182)(73, 175, 83, 185)(74, 176, 78, 180)(75, 177, 77, 179)(76, 178, 86, 188)(79, 181, 89, 191)(82, 184, 92, 194)(84, 186, 93, 195)(85, 187, 96, 198)(87, 189, 90, 192)(88, 190, 99, 201)(91, 193, 101, 203)(94, 196, 102, 204)(95, 197, 100, 202)(97, 199, 98, 200)(205, 307, 207, 309, 212, 314, 222, 324, 239, 341, 253, 355, 265, 367, 277, 379, 289, 391, 301, 403, 293, 395, 281, 383, 269, 371, 257, 359, 244, 346, 228, 330, 215, 317, 227, 329, 243, 345, 233, 335, 249, 351, 261, 363, 273, 375, 285, 387, 297, 399, 306, 408, 305, 407, 294, 396, 282, 384, 270, 372, 258, 360, 246, 348, 229, 331, 245, 347, 232, 334, 217, 319, 231, 333, 248, 350, 260, 362, 272, 374, 284, 386, 296, 398, 304, 406, 292, 394, 280, 382, 268, 370, 256, 358, 242, 344, 226, 328, 214, 316, 208, 310)(206, 308, 209, 311, 216, 318, 230, 332, 247, 349, 259, 361, 271, 373, 283, 385, 295, 397, 299, 401, 287, 389, 275, 377, 263, 365, 251, 353, 236, 338, 220, 322, 211, 313, 219, 321, 235, 337, 225, 327, 241, 343, 255, 357, 267, 369, 279, 381, 291, 393, 303, 405, 300, 402, 288, 390, 276, 378, 264, 366, 252, 354, 238, 340, 221, 323, 237, 339, 224, 326, 213, 315, 223, 325, 240, 342, 254, 356, 266, 368, 278, 380, 290, 392, 302, 404, 298, 400, 286, 388, 274, 376, 262, 364, 250, 352, 234, 336, 218, 320, 210, 312)
	L = (1, 206)(2, 205)(3, 211)(4, 213)(5, 215)(6, 217)(7, 207)(8, 221)(9, 208)(10, 225)(11, 209)(12, 229)(13, 210)(14, 233)(15, 227)(16, 231)(17, 212)(18, 234)(19, 228)(20, 232)(21, 214)(22, 230)(23, 219)(24, 223)(25, 216)(26, 226)(27, 220)(28, 224)(29, 218)(30, 222)(31, 245)(32, 249)(33, 243)(34, 248)(35, 251)(36, 246)(37, 244)(38, 254)(39, 237)(40, 241)(41, 235)(42, 240)(43, 257)(44, 238)(45, 236)(46, 260)(47, 239)(48, 261)(49, 264)(50, 242)(51, 258)(52, 267)(53, 247)(54, 255)(55, 270)(56, 250)(57, 252)(58, 273)(59, 272)(60, 253)(61, 274)(62, 269)(63, 256)(64, 271)(65, 266)(66, 259)(67, 268)(68, 263)(69, 262)(70, 265)(71, 285)(72, 284)(73, 287)(74, 282)(75, 281)(76, 290)(77, 279)(78, 278)(79, 293)(80, 276)(81, 275)(82, 296)(83, 277)(84, 297)(85, 300)(86, 280)(87, 294)(88, 303)(89, 283)(90, 291)(91, 305)(92, 286)(93, 288)(94, 306)(95, 304)(96, 289)(97, 302)(98, 301)(99, 292)(100, 299)(101, 295)(102, 298)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1811
Graph:: bipartite
	v = 53 e = 204 f = 119
	degree seq :: [ 4^51, 102^2 ]

E17.1811 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 51})
Quotient :: dipole
Aut^+ = C3 x D34 (small group id <102, 2>)
Aut   = S3 x D34 (small group id <204, 7>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1^2 * Y3 * Y1^-1, (Y3^-2 * Y1)^2, Y1^6, Y1^-1 * Y3^-1 * Y1 * Y3^16, (Y3 * Y2^-1)^51 ]
Map::
	R = (1, 103, 2, 104, 6, 108, 16, 118, 13, 115, 4, 106)(3, 105, 9, 111, 17, 119, 8, 110, 21, 123, 11, 113)(5, 107, 14, 116, 18, 120, 12, 114, 20, 122, 7, 109)(10, 112, 24, 126, 29, 131, 23, 125, 33, 135, 22, 124)(15, 117, 26, 128, 30, 132, 19, 121, 31, 133, 27, 129)(25, 127, 34, 136, 41, 143, 36, 138, 45, 147, 35, 137)(28, 130, 32, 134, 42, 144, 39, 141, 43, 145, 38, 140)(37, 139, 47, 149, 53, 155, 46, 148, 57, 159, 48, 150)(40, 142, 51, 153, 54, 156, 50, 152, 55, 157, 44, 146)(49, 151, 60, 162, 65, 167, 59, 161, 69, 171, 58, 160)(52, 154, 62, 164, 66, 168, 56, 158, 67, 169, 63, 165)(61, 163, 70, 172, 77, 179, 72, 174, 81, 183, 71, 173)(64, 166, 68, 170, 78, 180, 75, 177, 79, 181, 74, 176)(73, 175, 83, 185, 89, 191, 82, 184, 93, 195, 84, 186)(76, 178, 87, 189, 90, 192, 86, 188, 91, 193, 80, 182)(85, 187, 96, 198, 100, 202, 95, 197, 102, 204, 94, 196)(88, 190, 98, 200, 101, 203, 92, 194, 97, 199, 99, 201)(205, 307)(206, 308)(207, 309)(208, 310)(209, 311)(210, 312)(211, 313)(212, 314)(213, 315)(214, 316)(215, 317)(216, 318)(217, 319)(218, 320)(219, 321)(220, 322)(221, 323)(222, 324)(223, 325)(224, 326)(225, 327)(226, 328)(227, 329)(228, 330)(229, 331)(230, 332)(231, 333)(232, 334)(233, 335)(234, 336)(235, 337)(236, 338)(237, 339)(238, 340)(239, 341)(240, 342)(241, 343)(242, 344)(243, 345)(244, 346)(245, 347)(246, 348)(247, 349)(248, 350)(249, 351)(250, 352)(251, 353)(252, 354)(253, 355)(254, 356)(255, 357)(256, 358)(257, 359)(258, 360)(259, 361)(260, 362)(261, 363)(262, 364)(263, 365)(264, 366)(265, 367)(266, 368)(267, 369)(268, 370)(269, 371)(270, 372)(271, 373)(272, 374)(273, 375)(274, 376)(275, 377)(276, 378)(277, 379)(278, 380)(279, 381)(280, 382)(281, 383)(282, 384)(283, 385)(284, 386)(285, 387)(286, 388)(287, 389)(288, 390)(289, 391)(290, 392)(291, 393)(292, 394)(293, 395)(294, 396)(295, 397)(296, 398)(297, 399)(298, 400)(299, 401)(300, 402)(301, 403)(302, 404)(303, 405)(304, 406)(305, 407)(306, 408)
	L = (1, 207)(2, 211)(3, 214)(4, 216)(5, 205)(6, 221)(7, 223)(8, 206)(9, 208)(10, 229)(11, 220)(12, 230)(13, 225)(14, 231)(15, 209)(16, 218)(17, 233)(18, 210)(19, 236)(20, 217)(21, 237)(22, 212)(23, 213)(24, 215)(25, 241)(26, 242)(27, 243)(28, 219)(29, 245)(30, 222)(31, 224)(32, 248)(33, 249)(34, 226)(35, 227)(36, 228)(37, 253)(38, 254)(39, 255)(40, 232)(41, 257)(42, 234)(43, 235)(44, 260)(45, 261)(46, 238)(47, 239)(48, 240)(49, 265)(50, 266)(51, 267)(52, 244)(53, 269)(54, 246)(55, 247)(56, 272)(57, 273)(58, 250)(59, 251)(60, 252)(61, 277)(62, 278)(63, 279)(64, 256)(65, 281)(66, 258)(67, 259)(68, 284)(69, 285)(70, 262)(71, 263)(72, 264)(73, 289)(74, 290)(75, 291)(76, 268)(77, 293)(78, 270)(79, 271)(80, 296)(81, 297)(82, 274)(83, 275)(84, 276)(85, 301)(86, 302)(87, 303)(88, 280)(89, 304)(90, 282)(91, 283)(92, 299)(93, 306)(94, 286)(95, 287)(96, 288)(97, 295)(98, 300)(99, 298)(100, 292)(101, 294)(102, 305)(103, 307)(104, 308)(105, 309)(106, 310)(107, 311)(108, 312)(109, 313)(110, 314)(111, 315)(112, 316)(113, 317)(114, 318)(115, 319)(116, 320)(117, 321)(118, 322)(119, 323)(120, 324)(121, 325)(122, 326)(123, 327)(124, 328)(125, 329)(126, 330)(127, 331)(128, 332)(129, 333)(130, 334)(131, 335)(132, 336)(133, 337)(134, 338)(135, 339)(136, 340)(137, 341)(138, 342)(139, 343)(140, 344)(141, 345)(142, 346)(143, 347)(144, 348)(145, 349)(146, 350)(147, 351)(148, 352)(149, 353)(150, 354)(151, 355)(152, 356)(153, 357)(154, 358)(155, 359)(156, 360)(157, 361)(158, 362)(159, 363)(160, 364)(161, 365)(162, 366)(163, 367)(164, 368)(165, 369)(166, 370)(167, 371)(168, 372)(169, 373)(170, 374)(171, 375)(172, 376)(173, 377)(174, 378)(175, 379)(176, 380)(177, 381)(178, 382)(179, 383)(180, 384)(181, 385)(182, 386)(183, 387)(184, 388)(185, 389)(186, 390)(187, 391)(188, 392)(189, 393)(190, 394)(191, 395)(192, 396)(193, 397)(194, 398)(195, 399)(196, 400)(197, 401)(198, 402)(199, 403)(200, 404)(201, 405)(202, 406)(203, 407)(204, 408)
	local type(s) :: { ( 4, 102 ), ( 4, 102, 4, 102, 4, 102, 4, 102, 4, 102, 4, 102 ) }
Outer automorphisms :: reflexible
Dual of E17.1810
Graph:: simple bipartite
	v = 119 e = 204 f = 53
	degree seq :: [ 2^102, 12^17 ]

E17.1812 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 7, 14})
Quotient :: halfedge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2 * X1 * X2)^2, X1^3 * X2 * X1 * X2 * X1^2 * X2 * X1, X1^-3 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1, (X2 * X1^2 * X2 * X1^-2)^2, X1^14 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 75, 101, 100, 74, 44, 22, 10, 4)(3, 7, 15, 31, 59, 91, 107, 112, 105, 86, 54, 37, 18, 8)(6, 13, 27, 53, 39, 71, 99, 111, 92, 60, 81, 58, 30, 14)(9, 19, 38, 69, 87, 109, 90, 102, 83, 62, 32, 61, 40, 20)(12, 25, 49, 35, 17, 34, 65, 96, 108, 85, 104, 84, 52, 26)(16, 33, 63, 94, 66, 98, 106, 80, 48, 24, 47, 78, 56, 29)(21, 41, 72, 93, 64, 95, 68, 76, 57, 89, 70, 79, 50, 42)(28, 55, 43, 73, 88, 110, 97, 103, 77, 46, 36, 67, 82, 51)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(33, 64)(35, 66)(37, 68)(38, 70)(40, 47)(41, 71)(42, 59)(44, 63)(45, 76)(48, 79)(49, 81)(52, 83)(53, 85)(55, 87)(56, 88)(58, 90)(61, 77)(62, 93)(65, 97)(67, 98)(69, 86)(72, 82)(73, 91)(74, 96)(75, 102)(78, 104)(80, 105)(84, 107)(89, 110)(92, 103)(94, 109)(95, 108)(99, 106)(100, 111)(101, 112)
	local type(s) :: { ( 7^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 8 e = 56 f = 16
	degree seq :: [ 14^8 ]

E17.1813 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 7, 14})
Quotient :: halfedge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X2^2, X1^7, (X1^-1 * X2 * X1 * X2)^2, X2 * X1^2 * X2 * X1 * X2 * X1 * X2 * X1^3, (X2 * X1^2 * X2 * X1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 22, 10, 4)(3, 7, 15, 30, 36, 18, 8)(6, 13, 26, 49, 54, 29, 14)(9, 19, 37, 66, 71, 39, 20)(12, 24, 45, 80, 83, 48, 25)(16, 32, 58, 70, 86, 52, 28)(17, 33, 60, 93, 96, 62, 34)(21, 40, 72, 91, 59, 74, 41)(23, 43, 61, 95, 102, 79, 44)(27, 51, 64, 35, 63, 81, 47)(31, 56, 77, 89, 103, 82, 57)(38, 68, 98, 107, 90, 55, 69)(42, 75, 85, 105, 94, 100, 76)(46, 65, 88, 53, 87, 67, 78)(50, 73, 99, 104, 109, 101, 84)(92, 97, 106, 110, 112, 111, 108)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 23)(13, 27)(14, 28)(15, 31)(18, 35)(19, 33)(20, 38)(22, 42)(24, 46)(25, 47)(26, 50)(29, 53)(30, 55)(32, 59)(34, 61)(36, 65)(37, 67)(39, 70)(40, 68)(41, 73)(43, 77)(44, 78)(45, 69)(48, 82)(49, 62)(51, 71)(52, 85)(54, 89)(56, 76)(57, 91)(58, 92)(60, 94)(63, 95)(64, 97)(66, 84)(72, 81)(74, 96)(75, 99)(79, 101)(80, 86)(83, 104)(87, 105)(88, 106)(90, 100)(93, 108)(98, 102)(103, 110)(107, 111)(109, 112)
	local type(s) :: { ( 14^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 56 f = 8
	degree seq :: [ 7^16 ]

E17.1814 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 7, 14})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X1^2, X2^7, (X2 * X1 * X2^-1 * X1)^2, X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2^3, (X2^2 * X1 * X2^-2 * X1)^2 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 25)(14, 29)(15, 31)(16, 24)(18, 36)(19, 27)(20, 38)(22, 42)(23, 43)(26, 48)(28, 50)(30, 54)(32, 57)(33, 59)(34, 61)(35, 56)(37, 66)(39, 70)(40, 68)(41, 73)(44, 78)(45, 79)(46, 76)(47, 77)(49, 84)(51, 58)(52, 86)(53, 89)(55, 71)(60, 93)(62, 69)(63, 82)(64, 81)(65, 94)(67, 91)(72, 88)(74, 87)(75, 99)(80, 95)(83, 100)(85, 101)(90, 106)(92, 102)(96, 108)(97, 107)(98, 105)(103, 110)(104, 109)(111, 112)(113, 115, 120, 130, 134, 122, 116)(114, 117, 124, 138, 142, 126, 118)(119, 127, 144, 170, 172, 145, 128)(121, 131, 149, 179, 183, 151, 132)(123, 135, 156, 182, 192, 157, 136)(125, 139, 161, 197, 199, 163, 140)(129, 146, 174, 207, 208, 175, 147)(133, 152, 184, 189, 155, 186, 153)(137, 158, 193, 205, 215, 194, 159)(141, 164, 200, 168, 143, 167, 165)(148, 176, 162, 198, 217, 209, 177)(150, 180, 210, 216, 195, 160, 181)(154, 187, 191, 214, 196, 212, 188)(166, 202, 171, 204, 178, 206, 173)(169, 185, 211, 220, 223, 219, 203)(190, 201, 218, 222, 224, 221, 213)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 28, 28 ), ( 28^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 72 e = 112 f = 8
	degree seq :: [ 2^56, 7^16 ]

E17.1815 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 7, 14})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1^7, X1^2 * X2^-1 * X1 * X2^-3, X1^-2 * X2^-1 * X1 * X2 * X1^-1 * X2^-2, X2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 * X2^-3 * X1^-1, X2^14 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 16, 34, 13, 4)(3, 9, 23, 53, 64, 29, 11)(5, 14, 35, 71, 49, 20, 7)(8, 21, 50, 87, 83, 43, 17)(10, 25, 57, 91, 96, 61, 27)(12, 30, 58, 93, 74, 39, 32)(15, 38, 28, 62, 81, 42, 36)(18, 26, 59, 94, 103, 78, 40)(19, 45, 24, 55, 67, 76, 47)(22, 52, 48, 86, 101, 77, 51)(31, 65, 99, 109, 110, 98, 66)(33, 68, 80, 105, 90, 56, 69)(37, 73, 79, 104, 102, 100, 72)(41, 46, 85, 108, 92, 95, 70)(44, 84, 82, 106, 89, 54, 60)(63, 75, 88, 107, 112, 111, 97)(113, 115, 122, 138, 172, 207, 222, 224, 216, 199, 188, 151, 127, 117)(114, 119, 131, 158, 185, 181, 208, 223, 221, 206, 174, 141, 134, 120)(116, 124, 143, 133, 163, 190, 214, 219, 196, 183, 173, 168, 136, 121)(118, 129, 154, 192, 177, 144, 179, 209, 203, 220, 198, 161, 156, 130)(123, 140, 175, 167, 202, 218, 195, 191, 153, 128, 152, 189, 170, 137)(125, 145, 149, 126, 148, 155, 194, 200, 164, 176, 210, 204, 169, 142)(132, 160, 187, 150, 186, 212, 215, 211, 180, 146, 182, 166, 135, 157)(139, 147, 184, 205, 213, 197, 159, 162, 178, 165, 201, 217, 193, 171)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 4^7 ), ( 4^14 ) }
Outer automorphisms :: chiral
Dual of E17.1817
Transitivity :: ET+
Graph:: simple bipartite
	v = 24 e = 112 f = 56
	degree seq :: [ 7^16, 14^8 ]

E17.1816 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 7, 14})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2 * X1 * X2)^2, X1^3 * X2 * X1 * X2 * X1^2 * X2 * X1, X1^-3 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1, (X2 * X1^2 * X2 * X1^-2)^2, X1^14 ]
Map:: polytopal
	R = (1, 2, 5, 11, 23, 45, 75, 101, 100, 74, 44, 22, 10, 4)(3, 7, 15, 31, 59, 91, 107, 112, 105, 86, 54, 37, 18, 8)(6, 13, 27, 53, 39, 71, 99, 111, 92, 60, 81, 58, 30, 14)(9, 19, 38, 69, 87, 109, 90, 102, 83, 62, 32, 61, 40, 20)(12, 25, 49, 35, 17, 34, 65, 96, 108, 85, 104, 84, 52, 26)(16, 33, 63, 94, 66, 98, 106, 80, 48, 24, 47, 78, 56, 29)(21, 41, 72, 93, 64, 95, 68, 76, 57, 89, 70, 79, 50, 42)(28, 55, 43, 73, 88, 110, 97, 103, 77, 46, 36, 67, 82, 51)(113, 115)(114, 118)(116, 121)(117, 124)(119, 128)(120, 129)(122, 133)(123, 136)(125, 140)(126, 141)(127, 144)(130, 148)(131, 146)(132, 151)(134, 155)(135, 158)(137, 162)(138, 163)(139, 166)(142, 169)(143, 172)(145, 176)(147, 178)(149, 180)(150, 182)(152, 159)(153, 183)(154, 171)(156, 175)(157, 188)(160, 191)(161, 193)(164, 195)(165, 197)(167, 199)(168, 200)(170, 202)(173, 189)(174, 205)(177, 209)(179, 210)(181, 198)(184, 194)(185, 203)(186, 208)(187, 214)(190, 216)(192, 217)(196, 219)(201, 222)(204, 215)(206, 221)(207, 220)(211, 218)(212, 223)(213, 224)
	L = (1, 113)(2, 114)(3, 115)(4, 116)(5, 117)(6, 118)(7, 119)(8, 120)(9, 121)(10, 122)(11, 123)(12, 124)(13, 125)(14, 126)(15, 127)(16, 128)(17, 129)(18, 130)(19, 131)(20, 132)(21, 133)(22, 134)(23, 135)(24, 136)(25, 137)(26, 138)(27, 139)(28, 140)(29, 141)(30, 142)(31, 143)(32, 144)(33, 145)(34, 146)(35, 147)(36, 148)(37, 149)(38, 150)(39, 151)(40, 152)(41, 153)(42, 154)(43, 155)(44, 156)(45, 157)(46, 158)(47, 159)(48, 160)(49, 161)(50, 162)(51, 163)(52, 164)(53, 165)(54, 166)(55, 167)(56, 168)(57, 169)(58, 170)(59, 171)(60, 172)(61, 173)(62, 174)(63, 175)(64, 176)(65, 177)(66, 178)(67, 179)(68, 180)(69, 181)(70, 182)(71, 183)(72, 184)(73, 185)(74, 186)(75, 187)(76, 188)(77, 189)(78, 190)(79, 191)(80, 192)(81, 193)(82, 194)(83, 195)(84, 196)(85, 197)(86, 198)(87, 199)(88, 200)(89, 201)(90, 202)(91, 203)(92, 204)(93, 205)(94, 206)(95, 207)(96, 208)(97, 209)(98, 210)(99, 211)(100, 212)(101, 213)(102, 214)(103, 215)(104, 216)(105, 217)(106, 218)(107, 219)(108, 220)(109, 221)(110, 222)(111, 223)(112, 224)
	local type(s) :: { ( 14, 14 ), ( 14^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 112 f = 16
	degree seq :: [ 2^56, 14^8 ]

E17.1817 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 7, 14})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X1^2, X2^7, (X2 * X1 * X2^-1 * X1)^2, X1 * X2^2 * X1 * X2 * X1 * X2 * X1 * X2^3, (X2^2 * X1 * X2^-2 * X1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 113, 2, 114)(3, 115, 7, 119)(4, 116, 9, 121)(5, 117, 11, 123)(6, 118, 13, 125)(8, 120, 17, 129)(10, 122, 21, 133)(12, 124, 25, 137)(14, 126, 29, 141)(15, 127, 31, 143)(16, 128, 24, 136)(18, 130, 36, 148)(19, 131, 27, 139)(20, 132, 38, 150)(22, 134, 42, 154)(23, 135, 43, 155)(26, 138, 48, 160)(28, 140, 50, 162)(30, 142, 54, 166)(32, 144, 57, 169)(33, 145, 59, 171)(34, 146, 61, 173)(35, 147, 56, 168)(37, 149, 66, 178)(39, 151, 70, 182)(40, 152, 68, 180)(41, 153, 73, 185)(44, 156, 78, 190)(45, 157, 79, 191)(46, 158, 76, 188)(47, 159, 77, 189)(49, 161, 84, 196)(51, 163, 58, 170)(52, 164, 86, 198)(53, 165, 89, 201)(55, 167, 71, 183)(60, 172, 93, 205)(62, 174, 69, 181)(63, 175, 82, 194)(64, 176, 81, 193)(65, 177, 94, 206)(67, 179, 91, 203)(72, 184, 88, 200)(74, 186, 87, 199)(75, 187, 99, 211)(80, 192, 95, 207)(83, 195, 100, 212)(85, 197, 101, 213)(90, 202, 106, 218)(92, 204, 102, 214)(96, 208, 108, 220)(97, 209, 107, 219)(98, 210, 105, 217)(103, 215, 110, 222)(104, 216, 109, 221)(111, 223, 112, 224)
	L = (1, 115)(2, 117)(3, 120)(4, 113)(5, 124)(6, 114)(7, 127)(8, 130)(9, 131)(10, 116)(11, 135)(12, 138)(13, 139)(14, 118)(15, 144)(16, 119)(17, 146)(18, 134)(19, 149)(20, 121)(21, 152)(22, 122)(23, 156)(24, 123)(25, 158)(26, 142)(27, 161)(28, 125)(29, 164)(30, 126)(31, 167)(32, 170)(33, 128)(34, 174)(35, 129)(36, 176)(37, 179)(38, 180)(39, 132)(40, 184)(41, 133)(42, 187)(43, 186)(44, 182)(45, 136)(46, 193)(47, 137)(48, 181)(49, 197)(50, 198)(51, 140)(52, 200)(53, 141)(54, 202)(55, 165)(56, 143)(57, 185)(58, 172)(59, 204)(60, 145)(61, 166)(62, 207)(63, 147)(64, 162)(65, 148)(66, 206)(67, 183)(68, 210)(69, 150)(70, 192)(71, 151)(72, 189)(73, 211)(74, 153)(75, 191)(76, 154)(77, 155)(78, 201)(79, 214)(80, 157)(81, 205)(82, 159)(83, 160)(84, 212)(85, 199)(86, 217)(87, 163)(88, 168)(89, 218)(90, 171)(91, 169)(92, 178)(93, 215)(94, 173)(95, 208)(96, 175)(97, 177)(98, 216)(99, 220)(100, 188)(101, 190)(102, 196)(103, 194)(104, 195)(105, 209)(106, 222)(107, 203)(108, 223)(109, 213)(110, 224)(111, 219)(112, 221)
	local type(s) :: { ( 7, 14, 7, 14 ) }
Outer automorphisms :: chiral
Dual of E17.1815
Transitivity :: ET+ VT+
Graph:: simple
	v = 56 e = 112 f = 24
	degree seq :: [ 4^56 ]

E17.1818 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 7, 14})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ (X1^-1 * X2^-1)^2, X1^7, X1^2 * X2^-1 * X1 * X2^-3, X1^-2 * X2^-1 * X1 * X2 * X1^-1 * X2^-2, X2 * X1^-1 * X2^-1 * X1^2 * X2 * X1^-2 * X2^-3 * X1^-1, X2^14 ]
Map::
	R = (1, 113, 2, 114, 6, 118, 16, 128, 34, 146, 13, 125, 4, 116)(3, 115, 9, 121, 23, 135, 53, 165, 64, 176, 29, 141, 11, 123)(5, 117, 14, 126, 35, 147, 71, 183, 49, 161, 20, 132, 7, 119)(8, 120, 21, 133, 50, 162, 87, 199, 83, 195, 43, 155, 17, 129)(10, 122, 25, 137, 57, 169, 91, 203, 96, 208, 61, 173, 27, 139)(12, 124, 30, 142, 58, 170, 93, 205, 74, 186, 39, 151, 32, 144)(15, 127, 38, 150, 28, 140, 62, 174, 81, 193, 42, 154, 36, 148)(18, 130, 26, 138, 59, 171, 94, 206, 103, 215, 78, 190, 40, 152)(19, 131, 45, 157, 24, 136, 55, 167, 67, 179, 76, 188, 47, 159)(22, 134, 52, 164, 48, 160, 86, 198, 101, 213, 77, 189, 51, 163)(31, 143, 65, 177, 99, 211, 109, 221, 110, 222, 98, 210, 66, 178)(33, 145, 68, 180, 80, 192, 105, 217, 90, 202, 56, 168, 69, 181)(37, 149, 73, 185, 79, 191, 104, 216, 102, 214, 100, 212, 72, 184)(41, 153, 46, 158, 85, 197, 108, 220, 92, 204, 95, 207, 70, 182)(44, 156, 84, 196, 82, 194, 106, 218, 89, 201, 54, 166, 60, 172)(63, 175, 75, 187, 88, 200, 107, 219, 112, 224, 111, 223, 97, 209)
	L = (1, 115)(2, 119)(3, 122)(4, 124)(5, 113)(6, 129)(7, 131)(8, 114)(9, 116)(10, 138)(11, 140)(12, 143)(13, 145)(14, 148)(15, 117)(16, 152)(17, 154)(18, 118)(19, 158)(20, 160)(21, 163)(22, 120)(23, 157)(24, 121)(25, 123)(26, 172)(27, 147)(28, 175)(29, 134)(30, 125)(31, 133)(32, 179)(33, 149)(34, 182)(35, 184)(36, 155)(37, 126)(38, 186)(39, 127)(40, 189)(41, 128)(42, 192)(43, 194)(44, 130)(45, 132)(46, 185)(47, 162)(48, 187)(49, 156)(50, 178)(51, 190)(52, 176)(53, 201)(54, 135)(55, 202)(56, 136)(57, 142)(58, 137)(59, 139)(60, 207)(61, 168)(62, 141)(63, 167)(64, 210)(65, 144)(66, 165)(67, 209)(68, 146)(69, 208)(70, 166)(71, 173)(72, 205)(73, 181)(74, 212)(75, 150)(76, 151)(77, 170)(78, 214)(79, 153)(80, 177)(81, 171)(82, 200)(83, 191)(84, 183)(85, 159)(86, 161)(87, 188)(88, 164)(89, 217)(90, 218)(91, 220)(92, 169)(93, 213)(94, 174)(95, 222)(96, 223)(97, 203)(98, 204)(99, 180)(100, 215)(101, 197)(102, 219)(103, 211)(104, 199)(105, 193)(106, 195)(107, 196)(108, 198)(109, 206)(110, 224)(111, 221)(112, 216)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 16 e = 112 f = 64
	degree seq :: [ 14^16 ]

E17.1819 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 7, 14})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
Aut   = C2 x ((C2 x C2 x C2) : C7) (small group id <112, 41>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2 * X1 * X2)^2, X1^3 * X2 * X1 * X2 * X1^2 * X2 * X1, X1^-3 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1, (X2 * X1^2 * X2 * X1^-2)^2, X1^14 ]
Map::
	R = (1, 113, 2, 114, 5, 117, 11, 123, 23, 135, 45, 157, 75, 187, 101, 213, 100, 212, 74, 186, 44, 156, 22, 134, 10, 122, 4, 116)(3, 115, 7, 119, 15, 127, 31, 143, 59, 171, 91, 203, 107, 219, 112, 224, 105, 217, 86, 198, 54, 166, 37, 149, 18, 130, 8, 120)(6, 118, 13, 125, 27, 139, 53, 165, 39, 151, 71, 183, 99, 211, 111, 223, 92, 204, 60, 172, 81, 193, 58, 170, 30, 142, 14, 126)(9, 121, 19, 131, 38, 150, 69, 181, 87, 199, 109, 221, 90, 202, 102, 214, 83, 195, 62, 174, 32, 144, 61, 173, 40, 152, 20, 132)(12, 124, 25, 137, 49, 161, 35, 147, 17, 129, 34, 146, 65, 177, 96, 208, 108, 220, 85, 197, 104, 216, 84, 196, 52, 164, 26, 138)(16, 128, 33, 145, 63, 175, 94, 206, 66, 178, 98, 210, 106, 218, 80, 192, 48, 160, 24, 136, 47, 159, 78, 190, 56, 168, 29, 141)(21, 133, 41, 153, 72, 184, 93, 205, 64, 176, 95, 207, 68, 180, 76, 188, 57, 169, 89, 201, 70, 182, 79, 191, 50, 162, 42, 154)(28, 140, 55, 167, 43, 155, 73, 185, 88, 200, 110, 222, 97, 209, 103, 215, 77, 189, 46, 158, 36, 148, 67, 179, 82, 194, 51, 163)
	L = (1, 115)(2, 118)(3, 113)(4, 121)(5, 124)(6, 114)(7, 128)(8, 129)(9, 116)(10, 133)(11, 136)(12, 117)(13, 140)(14, 141)(15, 144)(16, 119)(17, 120)(18, 148)(19, 146)(20, 151)(21, 122)(22, 155)(23, 158)(24, 123)(25, 162)(26, 163)(27, 166)(28, 125)(29, 126)(30, 169)(31, 172)(32, 127)(33, 176)(34, 131)(35, 178)(36, 130)(37, 180)(38, 182)(39, 132)(40, 159)(41, 183)(42, 171)(43, 134)(44, 175)(45, 188)(46, 135)(47, 152)(48, 191)(49, 193)(50, 137)(51, 138)(52, 195)(53, 197)(54, 139)(55, 199)(56, 200)(57, 142)(58, 202)(59, 154)(60, 143)(61, 189)(62, 205)(63, 156)(64, 145)(65, 209)(66, 147)(67, 210)(68, 149)(69, 198)(70, 150)(71, 153)(72, 194)(73, 203)(74, 208)(75, 214)(76, 157)(77, 173)(78, 216)(79, 160)(80, 217)(81, 161)(82, 184)(83, 164)(84, 219)(85, 165)(86, 181)(87, 167)(88, 168)(89, 222)(90, 170)(91, 185)(92, 215)(93, 174)(94, 221)(95, 220)(96, 186)(97, 177)(98, 179)(99, 218)(100, 223)(101, 224)(102, 187)(103, 204)(104, 190)(105, 192)(106, 211)(107, 196)(108, 207)(109, 206)(110, 201)(111, 212)(112, 213)
	local type(s) :: { ( 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7, 2, 7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 8 e = 112 f = 72
	degree seq :: [ 28^8 ]

E17.1820 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 5, 5})
Quotient :: edge
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^5, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 15, 5)(2, 6, 17, 21, 7)(4, 11, 29, 33, 12)(8, 22, 53, 57, 23)(10, 26, 62, 43, 27)(13, 34, 75, 55, 35)(14, 36, 82, 85, 37)(16, 40, 61, 91, 41)(18, 44, 94, 69, 45)(19, 46, 38, 86, 47)(20, 48, 65, 102, 49)(24, 58, 107, 79, 51)(25, 59, 30, 70, 60)(28, 66, 93, 77, 67)(31, 71, 50, 103, 72)(32, 73, 96, 80, 74)(39, 68, 63, 110, 87)(42, 92, 118, 98, 76)(52, 104, 108, 116, 78)(54, 90, 117, 81, 100)(56, 105, 109, 83, 106)(64, 111, 97, 88, 84)(89, 113, 120, 99, 115)(95, 119, 114, 112, 101)(121, 122, 124)(123, 128, 130)(125, 133, 134)(126, 136, 138)(127, 139, 140)(129, 144, 145)(131, 148, 150)(132, 151, 152)(135, 158, 159)(137, 162, 163)(141, 170, 171)(142, 172, 174)(143, 175, 176)(146, 181, 183)(147, 184, 185)(149, 188, 189)(153, 195, 196)(154, 197, 198)(155, 199, 200)(156, 201, 182)(157, 203, 204)(160, 208, 209)(161, 206, 210)(164, 213, 178)(165, 215, 216)(166, 177, 217)(167, 218, 205)(168, 219, 214)(169, 220, 221)(173, 212, 190)(179, 228, 202)(180, 193, 229)(186, 232, 226)(187, 223, 233)(191, 211, 234)(192, 207, 222)(194, 235, 224)(225, 240, 237)(227, 238, 230)(231, 236, 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) :: { ( 10^3 ), ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E17.1821
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 120 f = 24
	degree seq :: [ 3^40, 5^24 ]

E17.1821 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 5, 5})
Quotient :: loop
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, T2^5, T2^2 * T1^-1 * T2^2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2^2 * T1^-1 * T2^2 * T1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1, (T2^-1 * T1^-1)^5, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 121, 3, 123, 9, 129, 15, 135, 5, 125)(2, 122, 6, 126, 17, 137, 21, 141, 7, 127)(4, 124, 11, 131, 29, 149, 33, 153, 12, 132)(8, 128, 22, 142, 53, 173, 57, 177, 23, 143)(10, 130, 26, 146, 62, 182, 43, 163, 27, 147)(13, 133, 34, 154, 75, 195, 55, 175, 35, 155)(14, 134, 36, 156, 82, 202, 85, 205, 37, 157)(16, 136, 40, 160, 61, 181, 91, 211, 41, 161)(18, 138, 44, 164, 94, 214, 69, 189, 45, 165)(19, 139, 46, 166, 38, 158, 86, 206, 47, 167)(20, 140, 48, 168, 65, 185, 102, 222, 49, 169)(24, 144, 58, 178, 107, 227, 79, 199, 51, 171)(25, 145, 59, 179, 30, 150, 70, 190, 60, 180)(28, 148, 66, 186, 93, 213, 77, 197, 67, 187)(31, 151, 71, 191, 50, 170, 103, 223, 72, 192)(32, 152, 73, 193, 96, 216, 80, 200, 74, 194)(39, 159, 68, 188, 63, 183, 110, 230, 87, 207)(42, 162, 92, 212, 118, 238, 98, 218, 76, 196)(52, 172, 104, 224, 108, 228, 116, 236, 78, 198)(54, 174, 90, 210, 117, 237, 81, 201, 100, 220)(56, 176, 105, 225, 109, 229, 83, 203, 106, 226)(64, 184, 111, 231, 97, 217, 88, 208, 84, 204)(89, 209, 113, 233, 120, 240, 99, 219, 115, 235)(95, 215, 119, 239, 114, 234, 112, 232, 101, 221)
	L = (1, 122)(2, 124)(3, 128)(4, 121)(5, 133)(6, 136)(7, 139)(8, 130)(9, 144)(10, 123)(11, 148)(12, 151)(13, 134)(14, 125)(15, 158)(16, 138)(17, 162)(18, 126)(19, 140)(20, 127)(21, 170)(22, 172)(23, 175)(24, 145)(25, 129)(26, 181)(27, 184)(28, 150)(29, 188)(30, 131)(31, 152)(32, 132)(33, 195)(34, 197)(35, 199)(36, 201)(37, 203)(38, 159)(39, 135)(40, 208)(41, 206)(42, 163)(43, 137)(44, 213)(45, 215)(46, 177)(47, 218)(48, 219)(49, 220)(50, 171)(51, 141)(52, 174)(53, 212)(54, 142)(55, 176)(56, 143)(57, 217)(58, 164)(59, 228)(60, 193)(61, 183)(62, 156)(63, 146)(64, 185)(65, 147)(66, 232)(67, 223)(68, 189)(69, 149)(70, 173)(71, 211)(72, 207)(73, 229)(74, 235)(75, 196)(76, 153)(77, 198)(78, 154)(79, 200)(80, 155)(81, 182)(82, 179)(83, 204)(84, 157)(85, 167)(86, 210)(87, 222)(88, 209)(89, 160)(90, 161)(91, 234)(92, 190)(93, 178)(94, 168)(95, 216)(96, 165)(97, 166)(98, 205)(99, 214)(100, 221)(101, 169)(102, 192)(103, 233)(104, 194)(105, 240)(106, 186)(107, 238)(108, 202)(109, 180)(110, 227)(111, 236)(112, 226)(113, 187)(114, 191)(115, 224)(116, 239)(117, 225)(118, 230)(119, 231)(120, 237)
	local type(s) :: { ( 3, 5, 3, 5, 3, 5, 3, 5, 3, 5 ) }
Outer automorphisms :: reflexible
Dual of E17.1820
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 24 e = 120 f = 64
	degree seq :: [ 10^24 ]

E17.1822 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3 * Y1^-2, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * Y1 * Y2^2 * Y3 * Y2^2, Y1 * Y2 * Y3^-1 * Y2^2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1 * Y2, Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, (Y3 * Y2^-1)^5, Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 121, 2, 122, 4, 124)(3, 123, 8, 128, 10, 130)(5, 125, 13, 133, 14, 134)(6, 126, 16, 136, 18, 138)(7, 127, 19, 139, 20, 140)(9, 129, 24, 144, 25, 145)(11, 131, 28, 148, 30, 150)(12, 132, 31, 151, 32, 152)(15, 135, 38, 158, 39, 159)(17, 137, 42, 162, 43, 163)(21, 141, 50, 170, 51, 171)(22, 142, 52, 172, 54, 174)(23, 143, 55, 175, 56, 176)(26, 146, 61, 181, 63, 183)(27, 147, 64, 184, 65, 185)(29, 149, 68, 188, 69, 189)(33, 153, 75, 195, 76, 196)(34, 154, 77, 197, 78, 198)(35, 155, 79, 199, 80, 200)(36, 156, 81, 201, 62, 182)(37, 157, 83, 203, 84, 204)(40, 160, 88, 208, 89, 209)(41, 161, 86, 206, 90, 210)(44, 164, 93, 213, 58, 178)(45, 165, 95, 215, 96, 216)(46, 166, 57, 177, 97, 217)(47, 167, 98, 218, 85, 205)(48, 168, 99, 219, 94, 214)(49, 169, 100, 220, 101, 221)(53, 173, 92, 212, 70, 190)(59, 179, 108, 228, 82, 202)(60, 180, 73, 193, 109, 229)(66, 186, 112, 232, 106, 226)(67, 187, 103, 223, 113, 233)(71, 191, 91, 211, 114, 234)(72, 192, 87, 207, 102, 222)(74, 194, 115, 235, 104, 224)(105, 225, 120, 240, 117, 237)(107, 227, 118, 238, 110, 230)(111, 231, 116, 236, 119, 239)(241, 361, 243, 363, 249, 369, 255, 375, 245, 365)(242, 362, 246, 366, 257, 377, 261, 381, 247, 367)(244, 364, 251, 371, 269, 389, 273, 393, 252, 372)(248, 368, 262, 382, 293, 413, 297, 417, 263, 383)(250, 370, 266, 386, 302, 422, 283, 403, 267, 387)(253, 373, 274, 394, 315, 435, 295, 415, 275, 395)(254, 374, 276, 396, 322, 442, 325, 445, 277, 397)(256, 376, 280, 400, 301, 421, 331, 451, 281, 401)(258, 378, 284, 404, 334, 454, 309, 429, 285, 405)(259, 379, 286, 406, 278, 398, 326, 446, 287, 407)(260, 380, 288, 408, 305, 425, 342, 462, 289, 409)(264, 384, 298, 418, 347, 467, 319, 439, 291, 411)(265, 385, 299, 419, 270, 390, 310, 430, 300, 420)(268, 388, 306, 426, 333, 453, 317, 437, 307, 427)(271, 391, 311, 431, 290, 410, 343, 463, 312, 432)(272, 392, 313, 433, 336, 456, 320, 440, 314, 434)(279, 399, 308, 428, 303, 423, 350, 470, 327, 447)(282, 402, 332, 452, 358, 478, 338, 458, 316, 436)(292, 412, 344, 464, 348, 468, 356, 476, 318, 438)(294, 414, 330, 450, 357, 477, 321, 441, 340, 460)(296, 416, 345, 465, 349, 469, 323, 443, 346, 466)(304, 424, 351, 471, 337, 457, 328, 448, 324, 444)(329, 449, 353, 473, 360, 480, 339, 459, 355, 475)(335, 455, 359, 479, 354, 474, 352, 472, 341, 461)
	L = (1, 244)(2, 241)(3, 250)(4, 242)(5, 254)(6, 258)(7, 260)(8, 243)(9, 265)(10, 248)(11, 270)(12, 272)(13, 245)(14, 253)(15, 279)(16, 246)(17, 283)(18, 256)(19, 247)(20, 259)(21, 291)(22, 294)(23, 296)(24, 249)(25, 264)(26, 303)(27, 305)(28, 251)(29, 309)(30, 268)(31, 252)(32, 271)(33, 316)(34, 318)(35, 320)(36, 302)(37, 324)(38, 255)(39, 278)(40, 329)(41, 330)(42, 257)(43, 282)(44, 298)(45, 336)(46, 337)(47, 325)(48, 334)(49, 341)(50, 261)(51, 290)(52, 262)(53, 310)(54, 292)(55, 263)(56, 295)(57, 286)(58, 333)(59, 322)(60, 349)(61, 266)(62, 321)(63, 301)(64, 267)(65, 304)(66, 346)(67, 353)(68, 269)(69, 308)(70, 332)(71, 354)(72, 342)(73, 300)(74, 344)(75, 273)(76, 315)(77, 274)(78, 317)(79, 275)(80, 319)(81, 276)(82, 348)(83, 277)(84, 323)(85, 338)(86, 281)(87, 312)(88, 280)(89, 328)(90, 326)(91, 311)(92, 293)(93, 284)(94, 339)(95, 285)(96, 335)(97, 297)(98, 287)(99, 288)(100, 289)(101, 340)(102, 327)(103, 307)(104, 355)(105, 357)(106, 352)(107, 350)(108, 299)(109, 313)(110, 358)(111, 359)(112, 306)(113, 343)(114, 331)(115, 314)(116, 351)(117, 360)(118, 347)(119, 356)(120, 345)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.1823
Graph:: bipartite
	v = 64 e = 240 f = 144
	degree seq :: [ 6^40, 10^24 ]

E17.1823 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 5, 5})
Quotient :: dipole
Aut^+ = SL(2,5) (small group id <120, 5>)
Aut   = SL(2,5) : C2 (small group id <240, 93>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^-1 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2, Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^-2, (Y3^-1 * Y1^-1)^5, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 12, 132, 4, 124)(3, 123, 9, 129, 22, 142, 26, 146, 10, 130)(5, 125, 14, 134, 34, 154, 38, 158, 15, 135)(7, 127, 18, 138, 44, 164, 48, 168, 19, 139)(8, 128, 20, 140, 50, 170, 54, 174, 21, 141)(11, 131, 28, 148, 66, 186, 47, 167, 29, 149)(13, 133, 32, 152, 74, 194, 77, 197, 33, 153)(16, 136, 40, 160, 88, 208, 69, 189, 41, 161)(17, 137, 42, 162, 36, 156, 82, 202, 43, 163)(23, 143, 57, 177, 51, 171, 99, 219, 58, 178)(24, 144, 59, 179, 105, 225, 79, 199, 60, 180)(25, 145, 61, 181, 30, 150, 71, 191, 62, 182)(27, 147, 64, 184, 55, 175, 102, 222, 65, 185)(31, 151, 72, 192, 52, 172, 100, 220, 73, 193)(35, 155, 80, 200, 89, 209, 67, 187, 81, 201)(37, 157, 83, 203, 63, 183, 109, 229, 84, 204)(39, 159, 86, 206, 107, 227, 70, 190, 87, 207)(45, 165, 93, 213, 90, 210, 112, 232, 68, 188)(46, 166, 94, 214, 113, 233, 75, 195, 95, 215)(49, 169, 97, 217, 91, 211, 76, 196, 98, 218)(53, 173, 101, 221, 96, 216, 103, 223, 78, 198)(56, 176, 92, 212, 118, 238, 108, 228, 85, 205)(104, 224, 115, 235, 119, 239, 110, 230, 117, 237)(106, 226, 120, 240, 116, 236, 114, 234, 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, 247)(3, 245)(4, 251)(5, 241)(6, 256)(7, 248)(8, 242)(9, 263)(10, 265)(11, 253)(12, 270)(13, 244)(14, 275)(15, 277)(16, 257)(17, 246)(18, 285)(19, 287)(20, 291)(21, 293)(22, 296)(23, 264)(24, 249)(25, 267)(26, 303)(27, 250)(28, 307)(29, 309)(30, 271)(31, 252)(32, 315)(33, 316)(34, 312)(35, 276)(36, 254)(37, 279)(38, 306)(39, 255)(40, 299)(41, 266)(42, 330)(43, 326)(44, 332)(45, 286)(46, 258)(47, 289)(48, 336)(49, 259)(50, 272)(51, 292)(52, 260)(53, 295)(54, 262)(55, 261)(56, 294)(57, 343)(58, 311)(59, 329)(60, 346)(61, 288)(62, 348)(63, 281)(64, 350)(65, 335)(66, 325)(67, 308)(68, 268)(69, 310)(70, 269)(71, 334)(72, 319)(73, 342)(74, 282)(75, 290)(76, 318)(77, 302)(78, 273)(79, 274)(80, 354)(81, 349)(82, 284)(83, 339)(84, 313)(85, 278)(86, 331)(87, 357)(88, 358)(89, 280)(90, 314)(91, 283)(92, 322)(93, 327)(94, 298)(95, 351)(96, 301)(97, 359)(98, 320)(99, 356)(100, 328)(101, 352)(102, 324)(103, 344)(104, 297)(105, 304)(106, 347)(107, 300)(108, 317)(109, 355)(110, 345)(111, 305)(112, 360)(113, 337)(114, 338)(115, 321)(116, 323)(117, 333)(118, 340)(119, 353)(120, 341)(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, 10 ), ( 6, 10, 6, 10, 6, 10, 6, 10, 6, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.1822
Graph:: simple bipartite
	v = 144 e = 240 f = 64
	degree seq :: [ 2^120, 10^24 ]

E17.1824 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 15})
Quotient :: regular
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-2)^2, T2 * T1^2 * T2 * T1 * T2 * T1^2 * T2 * T1^-2, (T1 * T2)^6, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 43, 75, 111, 120, 110, 74, 42, 22, 10, 4)(3, 7, 15, 31, 55, 90, 118, 88, 105, 112, 79, 45, 24, 18, 8)(6, 13, 27, 21, 41, 72, 108, 96, 60, 95, 107, 77, 44, 30, 14)(9, 19, 38, 66, 103, 85, 100, 63, 99, 76, 48, 26, 12, 25, 20)(16, 33, 58, 37, 65, 49, 83, 53, 29, 52, 87, 113, 91, 61, 34)(17, 35, 62, 78, 114, 106, 69, 39, 68, 80, 46, 57, 32, 56, 36)(28, 50, 67, 54, 71, 40, 70, 82, 47, 81, 115, 109, 73, 86, 51)(59, 93, 98, 97, 84, 64, 101, 117, 92, 89, 119, 104, 102, 116, 94)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 59)(34, 60)(35, 63)(36, 64)(38, 67)(41, 73)(42, 66)(43, 76)(45, 78)(48, 56)(50, 84)(51, 85)(52, 88)(53, 89)(55, 91)(57, 92)(58, 72)(61, 97)(62, 98)(65, 102)(68, 104)(69, 105)(70, 107)(71, 93)(74, 108)(75, 112)(77, 113)(79, 83)(80, 90)(81, 96)(82, 116)(86, 117)(87, 101)(94, 106)(95, 111)(99, 109)(100, 120)(103, 114)(110, 118)(115, 119)
	local type(s) :: { ( 6^15 ) }
Outer automorphisms :: reflexible
Dual of E17.1825
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 60 f = 20
	degree seq :: [ 15^8 ]

E17.1825 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 15})
Quotient :: regular
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, (T2 * T1 * T2 * T1^2)^2, T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 87, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 104, 73, 41)(22, 42, 74, 105, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 63, 75, 53)(30, 56, 94, 106, 83, 57)(35, 65, 101, 107, 85, 49)(37, 68, 76, 60, 97, 69)(46, 81, 110, 90, 72, 82)(54, 92, 67, 103, 109, 79)(55, 93, 108, 86, 113, 91)(59, 96, 64, 100, 111, 84)(95, 115, 119, 118, 102, 114)(98, 116, 99, 112, 120, 117)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 95)(61, 98)(62, 99)(65, 102)(66, 100)(68, 93)(69, 81)(70, 80)(71, 101)(73, 103)(74, 106)(77, 107)(78, 108)(82, 111)(85, 112)(88, 114)(89, 115)(92, 116)(94, 117)(96, 105)(97, 118)(104, 113)(109, 119)(110, 120)
	local type(s) :: { ( 15^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1824
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 20 e = 60 f = 8
	degree seq :: [ 6^20 ]

E17.1826 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^-2)^2, T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2 * T1)^15 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 98, 63, 34)(21, 40, 72, 104, 73, 41)(24, 46, 80, 110, 82, 47)(28, 53, 91, 116, 92, 54)(29, 55, 38, 70, 94, 56)(31, 58, 86, 49, 85, 59)(35, 64, 101, 105, 102, 65)(36, 66, 78, 44, 77, 67)(42, 74, 51, 89, 106, 75)(48, 83, 113, 93, 114, 84)(60, 96, 68, 103, 118, 97)(62, 99, 117, 95, 71, 100)(79, 108, 87, 115, 120, 109)(81, 111, 119, 107, 90, 112)(121, 122)(123, 127)(124, 129)(125, 131)(126, 133)(128, 137)(130, 141)(132, 144)(134, 148)(135, 149)(136, 151)(138, 155)(139, 156)(140, 158)(142, 162)(143, 164)(145, 168)(146, 169)(147, 171)(150, 174)(152, 180)(153, 172)(154, 182)(157, 188)(159, 166)(160, 191)(161, 163)(165, 199)(167, 201)(170, 207)(173, 210)(175, 213)(176, 196)(177, 195)(178, 215)(179, 204)(181, 217)(183, 202)(184, 205)(185, 198)(186, 203)(187, 219)(189, 209)(190, 208)(192, 211)(193, 223)(194, 225)(197, 227)(200, 229)(206, 231)(212, 235)(214, 232)(216, 228)(218, 233)(220, 226)(221, 230)(222, 236)(224, 234)(237, 240)(238, 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) :: { ( 30, 30 ), ( 30^6 ) }
Outer automorphisms :: reflexible
Dual of E17.1830
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 120 f = 8
	degree seq :: [ 2^60, 6^20 ]

E17.1827 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2^-1 * T1 * T2^-1)^2, T1^6, T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^3 * T1^-2, T2^15 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 56, 93, 116, 105, 118, 120, 103, 69, 35, 15, 5)(2, 7, 19, 43, 80, 94, 117, 112, 88, 113, 89, 64, 48, 22, 8)(4, 12, 30, 63, 46, 82, 108, 78, 107, 115, 96, 90, 53, 24, 9)(6, 17, 38, 75, 97, 109, 119, 102, 68, 95, 57, 28, 59, 41, 18)(11, 27, 14, 34, 67, 65, 99, 60, 98, 74, 39, 76, 40, 55, 25)(13, 32, 52, 66, 33, 58, 92, 54, 91, 114, 106, 77, 100, 61, 29)(16, 36, 70, 86, 49, 85, 111, 101, 84, 110, 81, 45, 83, 73, 37)(20, 44, 21, 47, 62, 31, 51, 23, 50, 87, 71, 104, 72, 79, 42)(121, 122, 126, 136, 133, 124)(123, 129, 143, 169, 148, 131)(125, 134, 153, 165, 140, 127)(128, 141, 166, 197, 159, 137)(130, 145, 174, 204, 167, 142)(132, 149, 180, 217, 184, 151)(135, 150, 182, 221, 188, 154)(138, 160, 176, 210, 191, 156)(139, 162, 198, 211, 175, 161)(144, 172, 187, 222, 208, 170)(146, 168, 195, 203, 186, 173)(147, 177, 214, 224, 216, 178)(152, 157, 192, 200, 189, 185)(155, 163, 179, 206, 220, 183)(158, 194, 225, 227, 199, 193)(164, 201, 229, 219, 223, 202)(171, 209, 213, 196, 226, 205)(181, 190, 207, 232, 238, 218)(212, 235, 236, 233, 239, 230)(215, 231, 234, 228, 240, 237)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 4^6 ), ( 4^15 ) }
Outer automorphisms :: reflexible
Dual of E17.1831
Transitivity :: ET+
Graph:: simple bipartite
	v = 28 e = 120 f = 60
	degree seq :: [ 6^20, 15^8 ]

E17.1828 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 15})
Quotient :: edge
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-2)^2, T1 * T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1, (T2 * T1^-1)^6, T1^-3 * T2 * T1^4 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^15 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 39)(20, 40)(22, 31)(23, 44)(25, 46)(26, 47)(27, 49)(30, 54)(33, 59)(34, 60)(35, 63)(36, 64)(38, 67)(41, 73)(42, 66)(43, 76)(45, 78)(48, 56)(50, 84)(51, 85)(52, 88)(53, 89)(55, 91)(57, 92)(58, 72)(61, 97)(62, 98)(65, 102)(68, 104)(69, 105)(70, 107)(71, 93)(74, 108)(75, 112)(77, 113)(79, 83)(80, 90)(81, 96)(82, 116)(86, 117)(87, 101)(94, 106)(95, 111)(99, 109)(100, 120)(103, 114)(110, 118)(115, 119)(121, 122, 125, 131, 143, 163, 195, 231, 240, 230, 194, 162, 142, 130, 124)(123, 127, 135, 151, 175, 210, 238, 208, 225, 232, 199, 165, 144, 138, 128)(126, 133, 147, 141, 161, 192, 228, 216, 180, 215, 227, 197, 164, 150, 134)(129, 139, 158, 186, 223, 205, 220, 183, 219, 196, 168, 146, 132, 145, 140)(136, 153, 178, 157, 185, 169, 203, 173, 149, 172, 207, 233, 211, 181, 154)(137, 155, 182, 198, 234, 226, 189, 159, 188, 200, 166, 177, 152, 176, 156)(148, 170, 187, 174, 191, 160, 190, 202, 167, 201, 235, 229, 193, 206, 171)(179, 213, 218, 217, 204, 184, 221, 237, 212, 209, 239, 224, 222, 236, 214)
	L = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)
	local type(s) :: { ( 12, 12 ), ( 12^15 ) }
Outer automorphisms :: reflexible
Dual of E17.1829
Transitivity :: ET+
Graph:: simple bipartite
	v = 68 e = 120 f = 20
	degree seq :: [ 2^60, 15^8 ]

E17.1829 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2^-2)^2, T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2 * T1)^15 ]
Map::
	R = (1, 121, 3, 123, 8, 128, 18, 138, 10, 130, 4, 124)(2, 122, 5, 125, 12, 132, 25, 145, 14, 134, 6, 126)(7, 127, 15, 135, 30, 150, 57, 177, 32, 152, 16, 136)(9, 129, 19, 139, 37, 157, 69, 189, 39, 159, 20, 140)(11, 131, 22, 142, 43, 163, 76, 196, 45, 165, 23, 143)(13, 133, 26, 146, 50, 170, 88, 208, 52, 172, 27, 147)(17, 137, 33, 153, 61, 181, 98, 218, 63, 183, 34, 154)(21, 141, 40, 160, 72, 192, 104, 224, 73, 193, 41, 161)(24, 144, 46, 166, 80, 200, 110, 230, 82, 202, 47, 167)(28, 148, 53, 173, 91, 211, 116, 236, 92, 212, 54, 174)(29, 149, 55, 175, 38, 158, 70, 190, 94, 214, 56, 176)(31, 151, 58, 178, 86, 206, 49, 169, 85, 205, 59, 179)(35, 155, 64, 184, 101, 221, 105, 225, 102, 222, 65, 185)(36, 156, 66, 186, 78, 198, 44, 164, 77, 197, 67, 187)(42, 162, 74, 194, 51, 171, 89, 209, 106, 226, 75, 195)(48, 168, 83, 203, 113, 233, 93, 213, 114, 234, 84, 204)(60, 180, 96, 216, 68, 188, 103, 223, 118, 238, 97, 217)(62, 182, 99, 219, 117, 237, 95, 215, 71, 191, 100, 220)(79, 199, 108, 228, 87, 207, 115, 235, 120, 240, 109, 229)(81, 201, 111, 231, 119, 239, 107, 227, 90, 210, 112, 232)
	L = (1, 122)(2, 121)(3, 127)(4, 129)(5, 131)(6, 133)(7, 123)(8, 137)(9, 124)(10, 141)(11, 125)(12, 144)(13, 126)(14, 148)(15, 149)(16, 151)(17, 128)(18, 155)(19, 156)(20, 158)(21, 130)(22, 162)(23, 164)(24, 132)(25, 168)(26, 169)(27, 171)(28, 134)(29, 135)(30, 174)(31, 136)(32, 180)(33, 172)(34, 182)(35, 138)(36, 139)(37, 188)(38, 140)(39, 166)(40, 191)(41, 163)(42, 142)(43, 161)(44, 143)(45, 199)(46, 159)(47, 201)(48, 145)(49, 146)(50, 207)(51, 147)(52, 153)(53, 210)(54, 150)(55, 213)(56, 196)(57, 195)(58, 215)(59, 204)(60, 152)(61, 217)(62, 154)(63, 202)(64, 205)(65, 198)(66, 203)(67, 219)(68, 157)(69, 209)(70, 208)(71, 160)(72, 211)(73, 223)(74, 225)(75, 177)(76, 176)(77, 227)(78, 185)(79, 165)(80, 229)(81, 167)(82, 183)(83, 186)(84, 179)(85, 184)(86, 231)(87, 170)(88, 190)(89, 189)(90, 173)(91, 192)(92, 235)(93, 175)(94, 232)(95, 178)(96, 228)(97, 181)(98, 233)(99, 187)(100, 226)(101, 230)(102, 236)(103, 193)(104, 234)(105, 194)(106, 220)(107, 197)(108, 216)(109, 200)(110, 221)(111, 206)(112, 214)(113, 218)(114, 224)(115, 212)(116, 222)(117, 240)(118, 239)(119, 238)(120, 237)
	local type(s) :: { ( 2, 15, 2, 15, 2, 15, 2, 15, 2, 15, 2, 15 ) }
Outer automorphisms :: reflexible
Dual of E17.1828
Transitivity :: ET+ VT+ AT
Graph::
	v = 20 e = 120 f = 68
	degree seq :: [ 12^20 ]

E17.1830 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^2, (T2^-1 * T1 * T2^-1)^2, T1^6, T1^-1 * T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^3 * T1^-2, T2^15 ]
Map::
	R = (1, 121, 3, 123, 10, 130, 26, 146, 56, 176, 93, 213, 116, 236, 105, 225, 118, 238, 120, 240, 103, 223, 69, 189, 35, 155, 15, 135, 5, 125)(2, 122, 7, 127, 19, 139, 43, 163, 80, 200, 94, 214, 117, 237, 112, 232, 88, 208, 113, 233, 89, 209, 64, 184, 48, 168, 22, 142, 8, 128)(4, 124, 12, 132, 30, 150, 63, 183, 46, 166, 82, 202, 108, 228, 78, 198, 107, 227, 115, 235, 96, 216, 90, 210, 53, 173, 24, 144, 9, 129)(6, 126, 17, 137, 38, 158, 75, 195, 97, 217, 109, 229, 119, 239, 102, 222, 68, 188, 95, 215, 57, 177, 28, 148, 59, 179, 41, 161, 18, 138)(11, 131, 27, 147, 14, 134, 34, 154, 67, 187, 65, 185, 99, 219, 60, 180, 98, 218, 74, 194, 39, 159, 76, 196, 40, 160, 55, 175, 25, 145)(13, 133, 32, 152, 52, 172, 66, 186, 33, 153, 58, 178, 92, 212, 54, 174, 91, 211, 114, 234, 106, 226, 77, 197, 100, 220, 61, 181, 29, 149)(16, 136, 36, 156, 70, 190, 86, 206, 49, 169, 85, 205, 111, 231, 101, 221, 84, 204, 110, 230, 81, 201, 45, 165, 83, 203, 73, 193, 37, 157)(20, 140, 44, 164, 21, 141, 47, 167, 62, 182, 31, 151, 51, 171, 23, 143, 50, 170, 87, 207, 71, 191, 104, 224, 72, 192, 79, 199, 42, 162)
	L = (1, 122)(2, 126)(3, 129)(4, 121)(5, 134)(6, 136)(7, 125)(8, 141)(9, 143)(10, 145)(11, 123)(12, 149)(13, 124)(14, 153)(15, 150)(16, 133)(17, 128)(18, 160)(19, 162)(20, 127)(21, 166)(22, 130)(23, 169)(24, 172)(25, 174)(26, 168)(27, 177)(28, 131)(29, 180)(30, 182)(31, 132)(32, 157)(33, 165)(34, 135)(35, 163)(36, 138)(37, 192)(38, 194)(39, 137)(40, 176)(41, 139)(42, 198)(43, 179)(44, 201)(45, 140)(46, 197)(47, 142)(48, 195)(49, 148)(50, 144)(51, 209)(52, 187)(53, 146)(54, 204)(55, 161)(56, 210)(57, 214)(58, 147)(59, 206)(60, 217)(61, 190)(62, 221)(63, 155)(64, 151)(65, 152)(66, 173)(67, 222)(68, 154)(69, 185)(70, 207)(71, 156)(72, 200)(73, 158)(74, 225)(75, 203)(76, 226)(77, 159)(78, 211)(79, 193)(80, 189)(81, 229)(82, 164)(83, 186)(84, 167)(85, 171)(86, 220)(87, 232)(88, 170)(89, 213)(90, 191)(91, 175)(92, 235)(93, 196)(94, 224)(95, 231)(96, 178)(97, 184)(98, 181)(99, 223)(100, 183)(101, 188)(102, 208)(103, 202)(104, 216)(105, 227)(106, 205)(107, 199)(108, 240)(109, 219)(110, 212)(111, 234)(112, 238)(113, 239)(114, 228)(115, 236)(116, 233)(117, 215)(118, 218)(119, 230)(120, 237)
	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 E17.1826
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 120 f = 80
	degree seq :: [ 30^8 ]

E17.1831 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 15})
Quotient :: loop
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-2)^2, T1 * T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1, (T2 * T1^-1)^6, T1^-3 * T2 * T1^4 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1, T1^15 ]
Map:: polytopal non-degenerate
	R = (1, 121, 3, 123)(2, 122, 6, 126)(4, 124, 9, 129)(5, 125, 12, 132)(7, 127, 16, 136)(8, 128, 17, 137)(10, 130, 21, 141)(11, 131, 24, 144)(13, 133, 28, 148)(14, 134, 29, 149)(15, 135, 32, 152)(18, 138, 37, 157)(19, 139, 39, 159)(20, 140, 40, 160)(22, 142, 31, 151)(23, 143, 44, 164)(25, 145, 46, 166)(26, 146, 47, 167)(27, 147, 49, 169)(30, 150, 54, 174)(33, 153, 59, 179)(34, 154, 60, 180)(35, 155, 63, 183)(36, 156, 64, 184)(38, 158, 67, 187)(41, 161, 73, 193)(42, 162, 66, 186)(43, 163, 76, 196)(45, 165, 78, 198)(48, 168, 56, 176)(50, 170, 84, 204)(51, 171, 85, 205)(52, 172, 88, 208)(53, 173, 89, 209)(55, 175, 91, 211)(57, 177, 92, 212)(58, 178, 72, 192)(61, 181, 97, 217)(62, 182, 98, 218)(65, 185, 102, 222)(68, 188, 104, 224)(69, 189, 105, 225)(70, 190, 107, 227)(71, 191, 93, 213)(74, 194, 108, 228)(75, 195, 112, 232)(77, 197, 113, 233)(79, 199, 83, 203)(80, 200, 90, 210)(81, 201, 96, 216)(82, 202, 116, 236)(86, 206, 117, 237)(87, 207, 101, 221)(94, 214, 106, 226)(95, 215, 111, 231)(99, 219, 109, 229)(100, 220, 120, 240)(103, 223, 114, 234)(110, 230, 118, 238)(115, 235, 119, 239)
	L = (1, 122)(2, 125)(3, 127)(4, 121)(5, 131)(6, 133)(7, 135)(8, 123)(9, 139)(10, 124)(11, 143)(12, 145)(13, 147)(14, 126)(15, 151)(16, 153)(17, 155)(18, 128)(19, 158)(20, 129)(21, 161)(22, 130)(23, 163)(24, 138)(25, 140)(26, 132)(27, 141)(28, 170)(29, 172)(30, 134)(31, 175)(32, 176)(33, 178)(34, 136)(35, 182)(36, 137)(37, 185)(38, 186)(39, 188)(40, 190)(41, 192)(42, 142)(43, 195)(44, 150)(45, 144)(46, 177)(47, 201)(48, 146)(49, 203)(50, 187)(51, 148)(52, 207)(53, 149)(54, 191)(55, 210)(56, 156)(57, 152)(58, 157)(59, 213)(60, 215)(61, 154)(62, 198)(63, 219)(64, 221)(65, 169)(66, 223)(67, 174)(68, 200)(69, 159)(70, 202)(71, 160)(72, 228)(73, 206)(74, 162)(75, 231)(76, 168)(77, 164)(78, 234)(79, 165)(80, 166)(81, 235)(82, 167)(83, 173)(84, 184)(85, 220)(86, 171)(87, 233)(88, 225)(89, 239)(90, 238)(91, 181)(92, 209)(93, 218)(94, 179)(95, 227)(96, 180)(97, 204)(98, 217)(99, 196)(100, 183)(101, 237)(102, 236)(103, 205)(104, 222)(105, 232)(106, 189)(107, 197)(108, 216)(109, 193)(110, 194)(111, 240)(112, 199)(113, 211)(114, 226)(115, 229)(116, 214)(117, 212)(118, 208)(119, 224)(120, 230)
	local type(s) :: { ( 6, 15, 6, 15 ) }
Outer automorphisms :: reflexible
Dual of E17.1827
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 60 e = 120 f = 28
	degree seq :: [ 4^60 ]

E17.1832 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^-1 * R * Y1 * Y2^-1 * Y1, Y2^6, (Y1 * Y2 * Y1 * Y2^2)^2, R * Y2 * R * Y2^-3 * R * Y2 * R * Y2 * Y1 * Y2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^15 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 24, 144)(14, 134, 28, 148)(15, 135, 29, 149)(16, 136, 31, 151)(18, 138, 35, 155)(19, 139, 36, 156)(20, 140, 38, 158)(22, 142, 42, 162)(23, 143, 44, 164)(25, 145, 48, 168)(26, 146, 49, 169)(27, 147, 51, 171)(30, 150, 54, 174)(32, 152, 60, 180)(33, 153, 52, 172)(34, 154, 62, 182)(37, 157, 68, 188)(39, 159, 46, 166)(40, 160, 71, 191)(41, 161, 43, 163)(45, 165, 79, 199)(47, 167, 81, 201)(50, 170, 87, 207)(53, 173, 90, 210)(55, 175, 93, 213)(56, 176, 76, 196)(57, 177, 75, 195)(58, 178, 95, 215)(59, 179, 84, 204)(61, 181, 97, 217)(63, 183, 82, 202)(64, 184, 85, 205)(65, 185, 78, 198)(66, 186, 83, 203)(67, 187, 99, 219)(69, 189, 89, 209)(70, 190, 88, 208)(72, 192, 91, 211)(73, 193, 103, 223)(74, 194, 105, 225)(77, 197, 107, 227)(80, 200, 109, 229)(86, 206, 111, 231)(92, 212, 115, 235)(94, 214, 112, 232)(96, 216, 108, 228)(98, 218, 113, 233)(100, 220, 106, 226)(101, 221, 110, 230)(102, 222, 116, 236)(104, 224, 114, 234)(117, 237, 120, 240)(118, 238, 119, 239)(241, 361, 243, 363, 248, 368, 258, 378, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 265, 385, 254, 374, 246, 366)(247, 367, 255, 375, 270, 390, 297, 417, 272, 392, 256, 376)(249, 369, 259, 379, 277, 397, 309, 429, 279, 399, 260, 380)(251, 371, 262, 382, 283, 403, 316, 436, 285, 405, 263, 383)(253, 373, 266, 386, 290, 410, 328, 448, 292, 412, 267, 387)(257, 377, 273, 393, 301, 421, 338, 458, 303, 423, 274, 394)(261, 381, 280, 400, 312, 432, 344, 464, 313, 433, 281, 401)(264, 384, 286, 406, 320, 440, 350, 470, 322, 442, 287, 407)(268, 388, 293, 413, 331, 451, 356, 476, 332, 452, 294, 414)(269, 389, 295, 415, 278, 398, 310, 430, 334, 454, 296, 416)(271, 391, 298, 418, 326, 446, 289, 409, 325, 445, 299, 419)(275, 395, 304, 424, 341, 461, 345, 465, 342, 462, 305, 425)(276, 396, 306, 426, 318, 438, 284, 404, 317, 437, 307, 427)(282, 402, 314, 434, 291, 411, 329, 449, 346, 466, 315, 435)(288, 408, 323, 443, 353, 473, 333, 453, 354, 474, 324, 444)(300, 420, 336, 456, 308, 428, 343, 463, 358, 478, 337, 457)(302, 422, 339, 459, 357, 477, 335, 455, 311, 431, 340, 460)(319, 439, 348, 468, 327, 447, 355, 475, 360, 480, 349, 469)(321, 441, 351, 471, 359, 479, 347, 467, 330, 450, 352, 472)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 264)(13, 246)(14, 268)(15, 269)(16, 271)(17, 248)(18, 275)(19, 276)(20, 278)(21, 250)(22, 282)(23, 284)(24, 252)(25, 288)(26, 289)(27, 291)(28, 254)(29, 255)(30, 294)(31, 256)(32, 300)(33, 292)(34, 302)(35, 258)(36, 259)(37, 308)(38, 260)(39, 286)(40, 311)(41, 283)(42, 262)(43, 281)(44, 263)(45, 319)(46, 279)(47, 321)(48, 265)(49, 266)(50, 327)(51, 267)(52, 273)(53, 330)(54, 270)(55, 333)(56, 316)(57, 315)(58, 335)(59, 324)(60, 272)(61, 337)(62, 274)(63, 322)(64, 325)(65, 318)(66, 323)(67, 339)(68, 277)(69, 329)(70, 328)(71, 280)(72, 331)(73, 343)(74, 345)(75, 297)(76, 296)(77, 347)(78, 305)(79, 285)(80, 349)(81, 287)(82, 303)(83, 306)(84, 299)(85, 304)(86, 351)(87, 290)(88, 310)(89, 309)(90, 293)(91, 312)(92, 355)(93, 295)(94, 352)(95, 298)(96, 348)(97, 301)(98, 353)(99, 307)(100, 346)(101, 350)(102, 356)(103, 313)(104, 354)(105, 314)(106, 340)(107, 317)(108, 336)(109, 320)(110, 341)(111, 326)(112, 334)(113, 338)(114, 344)(115, 332)(116, 342)(117, 360)(118, 359)(119, 358)(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, 30, 2, 30 ), ( 2, 30, 2, 30, 2, 30, 2, 30, 2, 30, 2, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.1835
Graph:: bipartite
	v = 80 e = 240 f = 128
	degree seq :: [ 4^60, 12^20 ]

E17.1833 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, R * Y2 * R * Y3, (Y1^-1 * Y2^-1)^2, Y1^6, (Y2^2 * Y1^-1)^2, Y1 * Y2^2 * Y1^-2 * Y2 * Y1^-1 * Y2^-2, Y1^-1 * Y2^-1 * Y1^2 * Y2^-1 * Y1^-1 * Y2^3 * Y1^-2, Y2^15 ]
Map::
	R = (1, 121, 2, 122, 6, 126, 16, 136, 13, 133, 4, 124)(3, 123, 9, 129, 23, 143, 49, 169, 28, 148, 11, 131)(5, 125, 14, 134, 33, 153, 45, 165, 20, 140, 7, 127)(8, 128, 21, 141, 46, 166, 77, 197, 39, 159, 17, 137)(10, 130, 25, 145, 54, 174, 84, 204, 47, 167, 22, 142)(12, 132, 29, 149, 60, 180, 97, 217, 64, 184, 31, 151)(15, 135, 30, 150, 62, 182, 101, 221, 68, 188, 34, 154)(18, 138, 40, 160, 56, 176, 90, 210, 71, 191, 36, 156)(19, 139, 42, 162, 78, 198, 91, 211, 55, 175, 41, 161)(24, 144, 52, 172, 67, 187, 102, 222, 88, 208, 50, 170)(26, 146, 48, 168, 75, 195, 83, 203, 66, 186, 53, 173)(27, 147, 57, 177, 94, 214, 104, 224, 96, 216, 58, 178)(32, 152, 37, 157, 72, 192, 80, 200, 69, 189, 65, 185)(35, 155, 43, 163, 59, 179, 86, 206, 100, 220, 63, 183)(38, 158, 74, 194, 105, 225, 107, 227, 79, 199, 73, 193)(44, 164, 81, 201, 109, 229, 99, 219, 103, 223, 82, 202)(51, 171, 89, 209, 93, 213, 76, 196, 106, 226, 85, 205)(61, 181, 70, 190, 87, 207, 112, 232, 118, 238, 98, 218)(92, 212, 115, 235, 116, 236, 113, 233, 119, 239, 110, 230)(95, 215, 111, 231, 114, 234, 108, 228, 120, 240, 117, 237)(241, 361, 243, 363, 250, 370, 266, 386, 296, 416, 333, 453, 356, 476, 345, 465, 358, 478, 360, 480, 343, 463, 309, 429, 275, 395, 255, 375, 245, 365)(242, 362, 247, 367, 259, 379, 283, 403, 320, 440, 334, 454, 357, 477, 352, 472, 328, 448, 353, 473, 329, 449, 304, 424, 288, 408, 262, 382, 248, 368)(244, 364, 252, 372, 270, 390, 303, 423, 286, 406, 322, 442, 348, 468, 318, 438, 347, 467, 355, 475, 336, 456, 330, 450, 293, 413, 264, 384, 249, 369)(246, 366, 257, 377, 278, 398, 315, 435, 337, 457, 349, 469, 359, 479, 342, 462, 308, 428, 335, 455, 297, 417, 268, 388, 299, 419, 281, 401, 258, 378)(251, 371, 267, 387, 254, 374, 274, 394, 307, 427, 305, 425, 339, 459, 300, 420, 338, 458, 314, 434, 279, 399, 316, 436, 280, 400, 295, 415, 265, 385)(253, 373, 272, 392, 292, 412, 306, 426, 273, 393, 298, 418, 332, 452, 294, 414, 331, 451, 354, 474, 346, 466, 317, 437, 340, 460, 301, 421, 269, 389)(256, 376, 276, 396, 310, 430, 326, 446, 289, 409, 325, 445, 351, 471, 341, 461, 324, 444, 350, 470, 321, 441, 285, 405, 323, 443, 313, 433, 277, 397)(260, 380, 284, 404, 261, 381, 287, 407, 302, 422, 271, 391, 291, 411, 263, 383, 290, 410, 327, 447, 311, 431, 344, 464, 312, 432, 319, 439, 282, 402)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 266)(11, 267)(12, 270)(13, 272)(14, 274)(15, 245)(16, 276)(17, 278)(18, 246)(19, 283)(20, 284)(21, 287)(22, 248)(23, 290)(24, 249)(25, 251)(26, 296)(27, 254)(28, 299)(29, 253)(30, 303)(31, 291)(32, 292)(33, 298)(34, 307)(35, 255)(36, 310)(37, 256)(38, 315)(39, 316)(40, 295)(41, 258)(42, 260)(43, 320)(44, 261)(45, 323)(46, 322)(47, 302)(48, 262)(49, 325)(50, 327)(51, 263)(52, 306)(53, 264)(54, 331)(55, 265)(56, 333)(57, 268)(58, 332)(59, 281)(60, 338)(61, 269)(62, 271)(63, 286)(64, 288)(65, 339)(66, 273)(67, 305)(68, 335)(69, 275)(70, 326)(71, 344)(72, 319)(73, 277)(74, 279)(75, 337)(76, 280)(77, 340)(78, 347)(79, 282)(80, 334)(81, 285)(82, 348)(83, 313)(84, 350)(85, 351)(86, 289)(87, 311)(88, 353)(89, 304)(90, 293)(91, 354)(92, 294)(93, 356)(94, 357)(95, 297)(96, 330)(97, 349)(98, 314)(99, 300)(100, 301)(101, 324)(102, 308)(103, 309)(104, 312)(105, 358)(106, 317)(107, 355)(108, 318)(109, 359)(110, 321)(111, 341)(112, 328)(113, 329)(114, 346)(115, 336)(116, 345)(117, 352)(118, 360)(119, 342)(120, 343)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1834
Graph:: bipartite
	v = 28 e = 240 f = 180
	degree seq :: [ 12^20, 30^8 ]

E17.1834 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-2)^2, Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-2, (Y2 * Y3)^6, Y3 * Y2 * Y3^-1 * Y2 * Y3^7 * Y2 * Y3^-1 * Y2, (Y3^-1 * Y1^-1)^15 ]
Map:: polytopal
	R = (1, 121)(2, 122)(3, 123)(4, 124)(5, 125)(6, 126)(7, 127)(8, 128)(9, 129)(10, 130)(11, 131)(12, 132)(13, 133)(14, 134)(15, 135)(16, 136)(17, 137)(18, 138)(19, 139)(20, 140)(21, 141)(22, 142)(23, 143)(24, 144)(25, 145)(26, 146)(27, 147)(28, 148)(29, 149)(30, 150)(31, 151)(32, 152)(33, 153)(34, 154)(35, 155)(36, 156)(37, 157)(38, 158)(39, 159)(40, 160)(41, 161)(42, 162)(43, 163)(44, 164)(45, 165)(46, 166)(47, 167)(48, 168)(49, 169)(50, 170)(51, 171)(52, 172)(53, 173)(54, 174)(55, 175)(56, 176)(57, 177)(58, 178)(59, 179)(60, 180)(61, 181)(62, 182)(63, 183)(64, 184)(65, 185)(66, 186)(67, 187)(68, 188)(69, 189)(70, 190)(71, 191)(72, 192)(73, 193)(74, 194)(75, 195)(76, 196)(77, 197)(78, 198)(79, 199)(80, 200)(81, 201)(82, 202)(83, 203)(84, 204)(85, 205)(86, 206)(87, 207)(88, 208)(89, 209)(90, 210)(91, 211)(92, 212)(93, 213)(94, 214)(95, 215)(96, 216)(97, 217)(98, 218)(99, 219)(100, 220)(101, 221)(102, 222)(103, 223)(104, 224)(105, 225)(106, 226)(107, 227)(108, 228)(109, 229)(110, 230)(111, 231)(112, 232)(113, 233)(114, 234)(115, 235)(116, 236)(117, 237)(118, 238)(119, 239)(120, 240)(241, 361, 242, 362)(243, 363, 247, 367)(244, 364, 249, 369)(245, 365, 251, 371)(246, 366, 253, 373)(248, 368, 257, 377)(250, 370, 261, 381)(252, 372, 265, 385)(254, 374, 269, 389)(255, 375, 271, 391)(256, 376, 273, 393)(258, 378, 270, 390)(259, 379, 278, 398)(260, 380, 280, 400)(262, 382, 266, 386)(263, 383, 283, 403)(264, 384, 285, 405)(267, 387, 290, 410)(268, 388, 292, 412)(272, 392, 297, 417)(274, 394, 300, 420)(275, 395, 302, 422)(276, 396, 303, 423)(277, 397, 301, 421)(279, 399, 308, 428)(281, 401, 312, 432)(282, 402, 309, 429)(284, 404, 313, 433)(286, 406, 319, 439)(287, 407, 304, 424)(288, 408, 321, 441)(289, 409, 320, 440)(291, 411, 325, 445)(293, 413, 329, 449)(294, 414, 326, 446)(295, 415, 328, 448)(296, 416, 331, 451)(298, 418, 334, 454)(299, 419, 336, 456)(305, 425, 341, 461)(306, 426, 343, 463)(307, 427, 344, 464)(310, 430, 347, 467)(311, 431, 315, 435)(314, 434, 349, 469)(316, 436, 345, 465)(317, 437, 352, 472)(318, 438, 339, 459)(322, 442, 338, 458)(323, 443, 348, 468)(324, 444, 356, 476)(327, 447, 335, 455)(330, 450, 333, 453)(332, 452, 354, 474)(337, 457, 353, 473)(340, 460, 351, 471)(342, 462, 358, 478)(346, 466, 357, 477)(350, 470, 355, 475)(359, 479, 360, 480)
	L = (1, 243)(2, 245)(3, 248)(4, 241)(5, 252)(6, 242)(7, 255)(8, 258)(9, 259)(10, 244)(11, 263)(12, 266)(13, 267)(14, 246)(15, 272)(16, 247)(17, 275)(18, 277)(19, 279)(20, 249)(21, 281)(22, 250)(23, 284)(24, 251)(25, 287)(26, 289)(27, 291)(28, 253)(29, 293)(30, 254)(31, 295)(32, 261)(33, 298)(34, 256)(35, 260)(36, 257)(37, 305)(38, 306)(39, 309)(40, 310)(41, 313)(42, 262)(43, 315)(44, 269)(45, 317)(46, 264)(47, 268)(48, 265)(49, 322)(50, 323)(51, 326)(52, 327)(53, 297)(54, 270)(55, 308)(56, 271)(57, 333)(58, 335)(59, 273)(60, 311)(61, 274)(62, 288)(63, 339)(64, 276)(65, 342)(66, 338)(67, 278)(68, 300)(69, 346)(70, 340)(71, 280)(72, 332)(73, 349)(74, 282)(75, 325)(76, 283)(77, 347)(78, 285)(79, 328)(80, 286)(81, 336)(82, 355)(83, 341)(84, 290)(85, 319)(86, 357)(87, 354)(88, 292)(89, 351)(90, 294)(91, 324)(92, 296)(93, 299)(94, 344)(95, 353)(96, 359)(97, 301)(98, 302)(99, 360)(100, 303)(101, 304)(102, 352)(103, 329)(104, 358)(105, 307)(106, 331)(107, 337)(108, 312)(109, 318)(110, 314)(111, 316)(112, 356)(113, 320)(114, 321)(115, 334)(116, 350)(117, 345)(118, 330)(119, 343)(120, 348)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 12, 30 ), ( 12, 30, 12, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.1833
Graph:: simple bipartite
	v = 180 e = 240 f = 28
	degree seq :: [ 2^120, 4^60 ]

E17.1835 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-2 * Y3 * Y1^-1)^2, Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^-1)^6, Y1^15 ]
Map:: polytopal
	R = (1, 121, 2, 122, 5, 125, 11, 131, 23, 143, 43, 163, 75, 195, 111, 231, 120, 240, 110, 230, 74, 194, 42, 162, 22, 142, 10, 130, 4, 124)(3, 123, 7, 127, 15, 135, 31, 151, 55, 175, 90, 210, 118, 238, 88, 208, 105, 225, 112, 232, 79, 199, 45, 165, 24, 144, 18, 138, 8, 128)(6, 126, 13, 133, 27, 147, 21, 141, 41, 161, 72, 192, 108, 228, 96, 216, 60, 180, 95, 215, 107, 227, 77, 197, 44, 164, 30, 150, 14, 134)(9, 129, 19, 139, 38, 158, 66, 186, 103, 223, 85, 205, 100, 220, 63, 183, 99, 219, 76, 196, 48, 168, 26, 146, 12, 132, 25, 145, 20, 140)(16, 136, 33, 153, 58, 178, 37, 157, 65, 185, 49, 169, 83, 203, 53, 173, 29, 149, 52, 172, 87, 207, 113, 233, 91, 211, 61, 181, 34, 154)(17, 137, 35, 155, 62, 182, 78, 198, 114, 234, 106, 226, 69, 189, 39, 159, 68, 188, 80, 200, 46, 166, 57, 177, 32, 152, 56, 176, 36, 156)(28, 148, 50, 170, 67, 187, 54, 174, 71, 191, 40, 160, 70, 190, 82, 202, 47, 167, 81, 201, 115, 235, 109, 229, 73, 193, 86, 206, 51, 171)(59, 179, 93, 213, 98, 218, 97, 217, 84, 204, 64, 184, 101, 221, 117, 237, 92, 212, 89, 209, 119, 239, 104, 224, 102, 222, 116, 236, 94, 214)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 246)(3, 241)(4, 249)(5, 252)(6, 242)(7, 256)(8, 257)(9, 244)(10, 261)(11, 264)(12, 245)(13, 268)(14, 269)(15, 272)(16, 247)(17, 248)(18, 277)(19, 279)(20, 280)(21, 250)(22, 271)(23, 284)(24, 251)(25, 286)(26, 287)(27, 289)(28, 253)(29, 254)(30, 294)(31, 262)(32, 255)(33, 299)(34, 300)(35, 303)(36, 304)(37, 258)(38, 307)(39, 259)(40, 260)(41, 313)(42, 306)(43, 316)(44, 263)(45, 318)(46, 265)(47, 266)(48, 296)(49, 267)(50, 324)(51, 325)(52, 328)(53, 329)(54, 270)(55, 331)(56, 288)(57, 332)(58, 312)(59, 273)(60, 274)(61, 337)(62, 338)(63, 275)(64, 276)(65, 342)(66, 282)(67, 278)(68, 344)(69, 345)(70, 347)(71, 333)(72, 298)(73, 281)(74, 348)(75, 352)(76, 283)(77, 353)(78, 285)(79, 323)(80, 330)(81, 336)(82, 356)(83, 319)(84, 290)(85, 291)(86, 357)(87, 341)(88, 292)(89, 293)(90, 320)(91, 295)(92, 297)(93, 311)(94, 346)(95, 351)(96, 321)(97, 301)(98, 302)(99, 349)(100, 360)(101, 327)(102, 305)(103, 354)(104, 308)(105, 309)(106, 334)(107, 310)(108, 314)(109, 339)(110, 358)(111, 335)(112, 315)(113, 317)(114, 343)(115, 359)(116, 322)(117, 326)(118, 350)(119, 355)(120, 340)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1832
Graph:: simple bipartite
	v = 128 e = 240 f = 80
	degree seq :: [ 2^120, 30^8 ]

E17.1836 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-2)^2, R * Y2^-3 * R * Y2^3, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, (Y1 * Y2^-1)^6, (Y3 * Y2^-1)^6, Y2^15 ]
Map::
	R = (1, 121, 2, 122)(3, 123, 7, 127)(4, 124, 9, 129)(5, 125, 11, 131)(6, 126, 13, 133)(8, 128, 17, 137)(10, 130, 21, 141)(12, 132, 25, 145)(14, 134, 29, 149)(15, 135, 31, 151)(16, 136, 33, 153)(18, 138, 30, 150)(19, 139, 38, 158)(20, 140, 40, 160)(22, 142, 26, 146)(23, 143, 43, 163)(24, 144, 45, 165)(27, 147, 50, 170)(28, 148, 52, 172)(32, 152, 57, 177)(34, 154, 60, 180)(35, 155, 62, 182)(36, 156, 63, 183)(37, 157, 61, 181)(39, 159, 68, 188)(41, 161, 72, 192)(42, 162, 69, 189)(44, 164, 73, 193)(46, 166, 79, 199)(47, 167, 64, 184)(48, 168, 81, 201)(49, 169, 80, 200)(51, 171, 85, 205)(53, 173, 89, 209)(54, 174, 86, 206)(55, 175, 88, 208)(56, 176, 91, 211)(58, 178, 94, 214)(59, 179, 96, 216)(65, 185, 101, 221)(66, 186, 103, 223)(67, 187, 104, 224)(70, 190, 107, 227)(71, 191, 75, 195)(74, 194, 109, 229)(76, 196, 105, 225)(77, 197, 112, 232)(78, 198, 99, 219)(82, 202, 98, 218)(83, 203, 108, 228)(84, 204, 116, 236)(87, 207, 95, 215)(90, 210, 93, 213)(92, 212, 114, 234)(97, 217, 113, 233)(100, 220, 111, 231)(102, 222, 118, 238)(106, 226, 117, 237)(110, 230, 115, 235)(119, 239, 120, 240)(241, 361, 243, 363, 248, 368, 258, 378, 277, 397, 305, 425, 342, 462, 352, 472, 356, 476, 350, 470, 314, 434, 282, 402, 262, 382, 250, 370, 244, 364)(242, 362, 245, 365, 252, 372, 266, 386, 289, 409, 322, 442, 355, 475, 334, 454, 344, 464, 358, 478, 330, 450, 294, 414, 270, 390, 254, 374, 246, 366)(247, 367, 255, 375, 272, 392, 261, 381, 281, 401, 313, 433, 349, 469, 318, 438, 285, 405, 317, 437, 347, 467, 337, 457, 301, 421, 274, 394, 256, 376)(249, 369, 259, 379, 279, 399, 309, 429, 346, 466, 331, 451, 324, 444, 290, 410, 323, 443, 341, 461, 304, 424, 276, 396, 257, 377, 275, 395, 260, 380)(251, 371, 263, 383, 284, 404, 269, 389, 293, 413, 297, 417, 333, 453, 299, 419, 273, 393, 298, 418, 335, 455, 353, 473, 320, 440, 286, 406, 264, 384)(253, 373, 267, 387, 291, 411, 326, 446, 357, 477, 345, 465, 307, 427, 278, 398, 306, 426, 338, 458, 302, 422, 288, 408, 265, 385, 287, 407, 268, 388)(271, 391, 295, 415, 308, 428, 300, 420, 311, 431, 280, 400, 310, 430, 340, 460, 303, 423, 339, 459, 360, 480, 348, 468, 312, 432, 332, 452, 296, 416)(283, 403, 315, 435, 325, 445, 319, 439, 328, 448, 292, 412, 327, 447, 354, 474, 321, 441, 336, 456, 359, 479, 343, 463, 329, 449, 351, 471, 316, 436)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 261)(11, 245)(12, 265)(13, 246)(14, 269)(15, 271)(16, 273)(17, 248)(18, 270)(19, 278)(20, 280)(21, 250)(22, 266)(23, 283)(24, 285)(25, 252)(26, 262)(27, 290)(28, 292)(29, 254)(30, 258)(31, 255)(32, 297)(33, 256)(34, 300)(35, 302)(36, 303)(37, 301)(38, 259)(39, 308)(40, 260)(41, 312)(42, 309)(43, 263)(44, 313)(45, 264)(46, 319)(47, 304)(48, 321)(49, 320)(50, 267)(51, 325)(52, 268)(53, 329)(54, 326)(55, 328)(56, 331)(57, 272)(58, 334)(59, 336)(60, 274)(61, 277)(62, 275)(63, 276)(64, 287)(65, 341)(66, 343)(67, 344)(68, 279)(69, 282)(70, 347)(71, 315)(72, 281)(73, 284)(74, 349)(75, 311)(76, 345)(77, 352)(78, 339)(79, 286)(80, 289)(81, 288)(82, 338)(83, 348)(84, 356)(85, 291)(86, 294)(87, 335)(88, 295)(89, 293)(90, 333)(91, 296)(92, 354)(93, 330)(94, 298)(95, 327)(96, 299)(97, 353)(98, 322)(99, 318)(100, 351)(101, 305)(102, 358)(103, 306)(104, 307)(105, 316)(106, 357)(107, 310)(108, 323)(109, 314)(110, 355)(111, 340)(112, 317)(113, 337)(114, 332)(115, 350)(116, 324)(117, 346)(118, 342)(119, 360)(120, 359)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.1837
Graph:: bipartite
	v = 68 e = 240 f = 140
	degree seq :: [ 4^60, 30^8 ]

E17.1837 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 15})
Quotient :: dipole
Aut^+ = A4 x D10 (small group id <120, 39>)
Aut   = D10 x S4 (small group id <240, 194>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1^-1)^2, Y1^6, Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1, Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^3 * Y1^-2, (Y3 * Y2^-1)^15 ]
Map:: polytopal
	R = (1, 121, 2, 122, 6, 126, 16, 136, 13, 133, 4, 124)(3, 123, 9, 129, 23, 143, 49, 169, 28, 148, 11, 131)(5, 125, 14, 134, 33, 153, 45, 165, 20, 140, 7, 127)(8, 128, 21, 141, 46, 166, 77, 197, 39, 159, 17, 137)(10, 130, 25, 145, 54, 174, 84, 204, 47, 167, 22, 142)(12, 132, 29, 149, 60, 180, 97, 217, 64, 184, 31, 151)(15, 135, 30, 150, 62, 182, 101, 221, 68, 188, 34, 154)(18, 138, 40, 160, 56, 176, 90, 210, 71, 191, 36, 156)(19, 139, 42, 162, 78, 198, 91, 211, 55, 175, 41, 161)(24, 144, 52, 172, 67, 187, 102, 222, 88, 208, 50, 170)(26, 146, 48, 168, 75, 195, 83, 203, 66, 186, 53, 173)(27, 147, 57, 177, 94, 214, 104, 224, 96, 216, 58, 178)(32, 152, 37, 157, 72, 192, 80, 200, 69, 189, 65, 185)(35, 155, 43, 163, 59, 179, 86, 206, 100, 220, 63, 183)(38, 158, 74, 194, 105, 225, 107, 227, 79, 199, 73, 193)(44, 164, 81, 201, 109, 229, 99, 219, 103, 223, 82, 202)(51, 171, 89, 209, 93, 213, 76, 196, 106, 226, 85, 205)(61, 181, 70, 190, 87, 207, 112, 232, 118, 238, 98, 218)(92, 212, 115, 235, 116, 236, 113, 233, 119, 239, 110, 230)(95, 215, 111, 231, 114, 234, 108, 228, 120, 240, 117, 237)(241, 361)(242, 362)(243, 363)(244, 364)(245, 365)(246, 366)(247, 367)(248, 368)(249, 369)(250, 370)(251, 371)(252, 372)(253, 373)(254, 374)(255, 375)(256, 376)(257, 377)(258, 378)(259, 379)(260, 380)(261, 381)(262, 382)(263, 383)(264, 384)(265, 385)(266, 386)(267, 387)(268, 388)(269, 389)(270, 390)(271, 391)(272, 392)(273, 393)(274, 394)(275, 395)(276, 396)(277, 397)(278, 398)(279, 399)(280, 400)(281, 401)(282, 402)(283, 403)(284, 404)(285, 405)(286, 406)(287, 407)(288, 408)(289, 409)(290, 410)(291, 411)(292, 412)(293, 413)(294, 414)(295, 415)(296, 416)(297, 417)(298, 418)(299, 419)(300, 420)(301, 421)(302, 422)(303, 423)(304, 424)(305, 425)(306, 426)(307, 427)(308, 428)(309, 429)(310, 430)(311, 431)(312, 432)(313, 433)(314, 434)(315, 435)(316, 436)(317, 437)(318, 438)(319, 439)(320, 440)(321, 441)(322, 442)(323, 443)(324, 444)(325, 445)(326, 446)(327, 447)(328, 448)(329, 449)(330, 450)(331, 451)(332, 452)(333, 453)(334, 454)(335, 455)(336, 456)(337, 457)(338, 458)(339, 459)(340, 460)(341, 461)(342, 462)(343, 463)(344, 464)(345, 465)(346, 466)(347, 467)(348, 468)(349, 469)(350, 470)(351, 471)(352, 472)(353, 473)(354, 474)(355, 475)(356, 476)(357, 477)(358, 478)(359, 479)(360, 480)
	L = (1, 243)(2, 247)(3, 250)(4, 252)(5, 241)(6, 257)(7, 259)(8, 242)(9, 244)(10, 266)(11, 267)(12, 270)(13, 272)(14, 274)(15, 245)(16, 276)(17, 278)(18, 246)(19, 283)(20, 284)(21, 287)(22, 248)(23, 290)(24, 249)(25, 251)(26, 296)(27, 254)(28, 299)(29, 253)(30, 303)(31, 291)(32, 292)(33, 298)(34, 307)(35, 255)(36, 310)(37, 256)(38, 315)(39, 316)(40, 295)(41, 258)(42, 260)(43, 320)(44, 261)(45, 323)(46, 322)(47, 302)(48, 262)(49, 325)(50, 327)(51, 263)(52, 306)(53, 264)(54, 331)(55, 265)(56, 333)(57, 268)(58, 332)(59, 281)(60, 338)(61, 269)(62, 271)(63, 286)(64, 288)(65, 339)(66, 273)(67, 305)(68, 335)(69, 275)(70, 326)(71, 344)(72, 319)(73, 277)(74, 279)(75, 337)(76, 280)(77, 340)(78, 347)(79, 282)(80, 334)(81, 285)(82, 348)(83, 313)(84, 350)(85, 351)(86, 289)(87, 311)(88, 353)(89, 304)(90, 293)(91, 354)(92, 294)(93, 356)(94, 357)(95, 297)(96, 330)(97, 349)(98, 314)(99, 300)(100, 301)(101, 324)(102, 308)(103, 309)(104, 312)(105, 358)(106, 317)(107, 355)(108, 318)(109, 359)(110, 321)(111, 341)(112, 328)(113, 329)(114, 346)(115, 336)(116, 345)(117, 352)(118, 360)(119, 342)(120, 343)(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, 30 ), ( 4, 30, 4, 30, 4, 30, 4, 30, 4, 30, 4, 30 ) }
Outer automorphisms :: reflexible
Dual of E17.1836
Graph:: simple bipartite
	v = 140 e = 240 f = 68
	degree seq :: [ 2^120, 12^20 ]

E17.1838 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 743>$ (small group id <128, 743>)
Aut   = $<256, 16836>$ (small group id <256, 16836>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (R * Y2 * Y1 * Y2)^2, (Y3^-1 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 40, 168)(23, 151, 37, 165)(25, 153, 44, 172)(27, 155, 33, 161)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 32, 160)(31, 159, 51, 179)(35, 163, 54, 182)(42, 170, 64, 192)(43, 171, 66, 194)(45, 173, 63, 191)(46, 174, 60, 188)(47, 175, 59, 187)(48, 176, 62, 190)(49, 177, 57, 185)(50, 178, 56, 184)(52, 180, 72, 200)(53, 181, 74, 202)(55, 183, 71, 199)(58, 186, 70, 198)(61, 189, 77, 205)(65, 193, 80, 208)(67, 195, 83, 211)(68, 196, 82, 210)(69, 197, 85, 213)(73, 201, 88, 216)(75, 203, 91, 219)(76, 204, 90, 218)(78, 206, 96, 224)(79, 207, 98, 226)(81, 209, 95, 223)(84, 212, 94, 222)(86, 214, 104, 232)(87, 215, 106, 234)(89, 217, 103, 231)(92, 220, 102, 230)(93, 221, 101, 229)(97, 225, 111, 239)(99, 227, 114, 242)(100, 228, 113, 241)(105, 233, 118, 246)(107, 235, 121, 249)(108, 236, 120, 248)(109, 237, 122, 250)(110, 238, 119, 247)(112, 240, 117, 245)(115, 243, 116, 244)(123, 251, 126, 254)(124, 252, 127, 255)(125, 253, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 301, 429)(282, 410, 304, 432)(284, 412, 306, 434)(285, 413, 305, 433)(288, 416, 309, 437)(289, 417, 308, 436)(290, 418, 311, 439)(292, 420, 314, 442)(294, 422, 316, 444)(295, 423, 315, 443)(297, 425, 317, 445)(300, 428, 321, 449)(302, 430, 324, 452)(303, 431, 323, 451)(307, 435, 325, 453)(310, 438, 329, 457)(312, 440, 332, 460)(313, 441, 331, 459)(318, 446, 335, 463)(319, 447, 334, 462)(320, 448, 337, 465)(322, 450, 340, 468)(326, 454, 343, 471)(327, 455, 342, 470)(328, 456, 345, 473)(330, 458, 348, 476)(333, 461, 349, 477)(336, 464, 353, 481)(338, 466, 356, 484)(339, 467, 355, 483)(341, 469, 357, 485)(344, 472, 361, 489)(346, 474, 364, 492)(347, 475, 363, 491)(350, 478, 366, 494)(351, 479, 365, 493)(352, 480, 368, 496)(354, 482, 371, 499)(358, 486, 373, 501)(359, 487, 372, 500)(360, 488, 375, 503)(362, 490, 378, 506)(367, 495, 379, 507)(369, 497, 381, 509)(370, 498, 380, 508)(374, 502, 382, 510)(376, 504, 384, 512)(377, 505, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 300)(23, 265)(24, 302)(25, 267)(26, 303)(27, 305)(28, 270)(29, 268)(30, 306)(31, 308)(32, 310)(33, 271)(34, 312)(35, 273)(36, 313)(37, 315)(38, 276)(39, 274)(40, 316)(41, 318)(42, 321)(43, 277)(44, 279)(45, 323)(46, 282)(47, 280)(48, 324)(49, 286)(50, 283)(51, 326)(52, 329)(53, 287)(54, 289)(55, 331)(56, 292)(57, 290)(58, 332)(59, 296)(60, 293)(61, 334)(62, 336)(63, 297)(64, 338)(65, 299)(66, 339)(67, 304)(68, 301)(69, 342)(70, 344)(71, 307)(72, 346)(73, 309)(74, 347)(75, 314)(76, 311)(77, 350)(78, 353)(79, 317)(80, 319)(81, 355)(82, 322)(83, 320)(84, 356)(85, 358)(86, 361)(87, 325)(88, 327)(89, 363)(90, 330)(91, 328)(92, 364)(93, 365)(94, 367)(95, 333)(96, 369)(97, 335)(98, 370)(99, 340)(100, 337)(101, 372)(102, 374)(103, 341)(104, 376)(105, 343)(106, 377)(107, 348)(108, 345)(109, 379)(110, 349)(111, 351)(112, 380)(113, 354)(114, 352)(115, 381)(116, 382)(117, 357)(118, 359)(119, 383)(120, 362)(121, 360)(122, 384)(123, 366)(124, 371)(125, 368)(126, 373)(127, 378)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1839
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1839 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 743>$ (small group id <128, 743>)
Aut   = $<256, 16836>$ (small group id <256, 16836>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y1^-2)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^2)^2, Y3^8, Y2 * R * Y1 * Y2 * Y1 * Y2 * R * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 20, 148, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 17, 145, 25, 153)(12, 140, 32, 160, 43, 171, 31, 159)(14, 142, 35, 163, 44, 172, 30, 158)(16, 144, 28, 156, 45, 173, 38, 166)(19, 147, 27, 155, 46, 174, 41, 169)(24, 152, 50, 178, 37, 165, 49, 177)(26, 154, 53, 181, 40, 168, 48, 176)(29, 157, 57, 185, 34, 162, 59, 187)(33, 161, 62, 190, 74, 202, 64, 192)(36, 164, 61, 189, 75, 203, 67, 195)(39, 167, 70, 198, 76, 204, 56, 184)(42, 170, 73, 201, 77, 205, 55, 183)(47, 175, 78, 206, 52, 180, 80, 208)(51, 179, 83, 211, 69, 197, 85, 213)(54, 182, 82, 210, 72, 200, 88, 216)(58, 186, 94, 222, 63, 191, 93, 221)(60, 188, 97, 225, 66, 194, 92, 220)(65, 193, 102, 230, 109, 237, 100, 228)(68, 196, 105, 233, 110, 238, 99, 227)(71, 199, 90, 218, 111, 239, 107, 235)(79, 207, 115, 243, 84, 212, 114, 242)(81, 209, 118, 246, 87, 215, 113, 241)(86, 214, 123, 251, 106, 234, 121, 249)(89, 217, 126, 254, 108, 236, 120, 248)(91, 219, 127, 255, 96, 224, 124, 252)(95, 223, 116, 244, 101, 229, 122, 250)(98, 226, 119, 247, 104, 232, 125, 253)(103, 231, 117, 245, 128, 256, 112, 240)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 285, 413)(269, 397, 290, 418)(271, 399, 293, 421)(272, 400, 292, 420)(274, 402, 296, 424)(275, 403, 289, 417)(277, 405, 300, 428)(278, 406, 299, 427)(279, 407, 303, 431)(281, 409, 308, 436)(283, 411, 310, 438)(284, 412, 307, 435)(286, 414, 316, 444)(287, 415, 314, 442)(288, 416, 319, 447)(291, 419, 322, 450)(294, 422, 325, 453)(295, 423, 324, 452)(297, 425, 328, 456)(298, 426, 321, 449)(301, 429, 331, 459)(302, 430, 330, 458)(304, 432, 337, 465)(305, 433, 335, 463)(306, 434, 340, 468)(309, 437, 343, 471)(311, 439, 345, 473)(312, 440, 342, 470)(313, 441, 347, 475)(315, 443, 352, 480)(317, 445, 354, 482)(318, 446, 351, 479)(320, 448, 357, 485)(323, 451, 360, 488)(326, 454, 362, 490)(327, 455, 359, 487)(329, 457, 364, 492)(332, 460, 366, 494)(333, 461, 365, 493)(334, 462, 368, 496)(336, 464, 373, 501)(338, 466, 375, 503)(339, 467, 372, 500)(341, 469, 378, 506)(344, 472, 381, 509)(346, 474, 380, 508)(348, 476, 376, 504)(349, 477, 377, 505)(350, 478, 379, 507)(353, 481, 382, 510)(355, 483, 374, 502)(356, 484, 371, 499)(358, 486, 370, 498)(361, 489, 369, 497)(363, 491, 383, 511)(367, 495, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 286)(12, 289)(13, 291)(14, 259)(15, 261)(16, 295)(17, 293)(18, 297)(19, 262)(20, 299)(21, 301)(22, 263)(23, 304)(24, 307)(25, 309)(26, 264)(27, 311)(28, 266)(29, 314)(30, 317)(31, 267)(32, 269)(33, 321)(34, 319)(35, 323)(36, 270)(37, 325)(38, 271)(39, 327)(40, 273)(41, 329)(42, 275)(43, 330)(44, 276)(45, 332)(46, 278)(47, 335)(48, 338)(49, 279)(50, 281)(51, 342)(52, 340)(53, 344)(54, 282)(55, 346)(56, 284)(57, 348)(58, 351)(59, 353)(60, 285)(61, 355)(62, 287)(63, 357)(64, 288)(65, 359)(66, 290)(67, 361)(68, 292)(69, 362)(70, 294)(71, 298)(72, 296)(73, 363)(74, 365)(75, 300)(76, 367)(77, 302)(78, 369)(79, 372)(80, 374)(81, 303)(82, 376)(83, 305)(84, 378)(85, 306)(86, 380)(87, 308)(88, 382)(89, 310)(90, 312)(91, 377)(92, 375)(93, 313)(94, 315)(95, 371)(96, 379)(97, 381)(98, 316)(99, 373)(100, 318)(101, 370)(102, 320)(103, 324)(104, 322)(105, 368)(106, 383)(107, 326)(108, 328)(109, 384)(110, 331)(111, 333)(112, 358)(113, 360)(114, 334)(115, 336)(116, 349)(117, 356)(118, 354)(119, 337)(120, 347)(121, 339)(122, 350)(123, 341)(124, 345)(125, 343)(126, 352)(127, 364)(128, 366)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1838
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1840 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y3 * Y2)^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1 * Y2 * Y3 * Y1 * Y3)^2, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 161, 33, 144)(18, 165, 37, 146)(19, 167, 39, 147)(20, 169, 41, 148)(22, 173, 45, 150)(23, 174, 46, 151)(24, 176, 48, 152)(26, 180, 52, 154)(27, 182, 54, 155)(28, 184, 56, 156)(30, 188, 60, 158)(32, 178, 50, 160)(34, 186, 58, 162)(35, 175, 47, 163)(36, 183, 55, 164)(38, 181, 53, 166)(40, 179, 51, 168)(42, 187, 59, 170)(43, 177, 49, 171)(44, 185, 57, 172)(61, 213, 85, 189)(62, 214, 86, 190)(63, 216, 88, 191)(64, 217, 89, 192)(65, 218, 90, 193)(66, 220, 92, 194)(67, 207, 79, 195)(68, 208, 80, 196)(69, 215, 87, 197)(70, 219, 91, 198)(71, 221, 93, 199)(72, 222, 94, 200)(73, 223, 95, 201)(74, 224, 96, 202)(75, 226, 98, 203)(76, 227, 99, 204)(77, 228, 100, 205)(78, 230, 102, 206)(81, 225, 97, 209)(82, 229, 101, 210)(83, 231, 103, 211)(84, 232, 104, 212)(105, 242, 114, 233)(106, 244, 116, 234)(107, 243, 115, 235)(108, 245, 117, 236)(109, 252, 124, 237)(110, 251, 123, 238)(111, 250, 122, 239)(112, 249, 121, 240)(113, 248, 120, 241)(118, 254, 126, 246)(119, 253, 125, 247)(127, 256, 128, 255)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 71)(40, 70)(41, 72)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 83)(55, 82)(56, 84)(59, 79)(60, 78)(62, 87)(65, 91)(74, 97)(77, 101)(85, 105)(86, 107)(88, 110)(89, 111)(90, 112)(92, 109)(93, 113)(94, 108)(95, 114)(96, 116)(98, 119)(99, 120)(100, 121)(102, 118)(103, 122)(104, 117)(106, 123)(115, 125)(124, 127)(126, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 164)(146, 166)(147, 168)(149, 172)(151, 175)(153, 179)(154, 181)(155, 183)(157, 187)(159, 190)(161, 193)(162, 194)(163, 195)(165, 198)(167, 189)(169, 192)(170, 197)(171, 196)(173, 191)(174, 202)(176, 205)(177, 206)(178, 207)(180, 210)(182, 201)(184, 204)(185, 209)(186, 208)(188, 203)(199, 220)(200, 216)(211, 230)(212, 226)(213, 234)(214, 236)(215, 237)(217, 233)(218, 235)(219, 238)(221, 240)(222, 241)(223, 243)(224, 245)(225, 246)(227, 242)(228, 244)(229, 247)(231, 249)(232, 250)(239, 252)(248, 254)(251, 255)(253, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1841
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1841 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y2 * Y3)^2, Y1^-1 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1^-1, (Y3 * Y2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 153, 25, 139, 11, 131)(4, 140, 12, 160, 32, 142, 14, 132)(7, 147, 19, 175, 47, 149, 21, 135)(8, 150, 22, 181, 53, 152, 24, 136)(10, 156, 28, 170, 42, 151, 23, 138)(13, 162, 34, 173, 45, 148, 20, 141)(15, 165, 37, 201, 73, 166, 38, 143)(16, 167, 39, 202, 74, 168, 40, 144)(17, 169, 41, 203, 75, 171, 43, 145)(18, 172, 44, 209, 81, 174, 46, 146)(26, 187, 59, 204, 76, 182, 54, 154)(27, 180, 52, 205, 77, 189, 61, 155)(29, 191, 63, 223, 95, 188, 60, 157)(30, 193, 65, 207, 79, 184, 56, 158)(31, 177, 49, 208, 80, 194, 66, 159)(33, 196, 68, 210, 82, 176, 48, 161)(35, 199, 71, 230, 102, 197, 69, 163)(36, 200, 72, 212, 84, 179, 51, 164)(50, 216, 88, 241, 113, 215, 87, 178)(55, 220, 92, 244, 116, 219, 91, 183)(57, 213, 85, 233, 105, 221, 93, 185)(58, 222, 94, 234, 106, 218, 90, 186)(62, 226, 98, 245, 117, 224, 96, 190)(64, 217, 89, 237, 109, 227, 99, 192)(67, 229, 101, 238, 110, 214, 86, 195)(70, 232, 104, 249, 121, 231, 103, 198)(78, 236, 108, 250, 122, 235, 107, 206)(83, 240, 112, 253, 125, 239, 111, 211)(97, 243, 115, 251, 123, 247, 119, 225)(100, 242, 114, 252, 124, 248, 120, 228)(118, 254, 126, 256, 128, 255, 127, 246)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 31)(14, 27)(16, 28)(18, 45)(19, 48)(20, 50)(21, 51)(22, 52)(24, 49)(25, 57)(32, 67)(33, 69)(34, 70)(35, 64)(36, 71)(37, 68)(38, 72)(39, 61)(40, 66)(41, 76)(42, 78)(43, 79)(44, 80)(46, 77)(47, 85)(53, 90)(54, 91)(55, 89)(56, 92)(58, 95)(59, 96)(60, 97)(62, 99)(63, 100)(65, 98)(73, 93)(74, 94)(75, 105)(81, 110)(82, 111)(83, 109)(84, 112)(86, 113)(87, 114)(88, 115)(101, 121)(102, 118)(103, 120)(104, 119)(106, 122)(107, 123)(108, 124)(116, 126)(117, 127)(125, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 155)(139, 159)(140, 161)(141, 163)(142, 164)(143, 162)(145, 170)(147, 177)(149, 180)(150, 182)(151, 183)(152, 184)(153, 186)(154, 188)(156, 190)(157, 192)(158, 191)(160, 185)(165, 194)(166, 189)(167, 187)(168, 193)(169, 205)(171, 208)(172, 210)(173, 211)(174, 212)(175, 214)(176, 215)(178, 217)(179, 216)(181, 213)(195, 230)(196, 231)(197, 228)(198, 227)(199, 225)(200, 232)(201, 229)(202, 221)(203, 234)(204, 235)(206, 237)(207, 236)(209, 233)(218, 244)(219, 243)(220, 242)(222, 245)(223, 246)(224, 247)(226, 248)(238, 253)(239, 252)(240, 251)(241, 254)(249, 255)(250, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1840
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1842 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3 * Y2 * Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1)^2 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 31, 159)(17, 145, 35, 163)(18, 146, 37, 165)(19, 147, 39, 167)(21, 149, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 52, 180)(27, 155, 54, 182)(29, 157, 58, 186)(32, 160, 61, 189)(33, 161, 62, 190)(34, 162, 63, 191)(36, 164, 65, 193)(38, 166, 67, 195)(40, 168, 68, 196)(41, 169, 69, 197)(42, 170, 70, 198)(44, 172, 71, 199)(45, 173, 72, 200)(47, 175, 73, 201)(48, 176, 74, 202)(49, 177, 75, 203)(51, 179, 77, 205)(53, 181, 79, 207)(55, 183, 80, 208)(56, 184, 81, 209)(57, 185, 82, 210)(59, 187, 83, 211)(60, 188, 84, 212)(64, 192, 87, 215)(66, 194, 88, 216)(76, 204, 97, 225)(78, 206, 98, 226)(85, 213, 105, 233)(86, 214, 106, 234)(89, 217, 108, 236)(90, 218, 109, 237)(91, 219, 110, 238)(92, 220, 111, 239)(93, 221, 112, 240)(94, 222, 113, 241)(95, 223, 114, 242)(96, 224, 115, 243)(99, 227, 117, 245)(100, 228, 118, 246)(101, 229, 119, 247)(102, 230, 120, 248)(103, 231, 121, 249)(104, 232, 122, 250)(107, 235, 124, 252)(116, 244, 126, 254)(123, 251, 127, 255)(125, 253, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 279)(272, 288)(274, 292)(275, 294)(276, 296)(278, 300)(280, 303)(282, 307)(283, 309)(284, 311)(286, 315)(287, 313)(289, 305)(290, 304)(291, 320)(293, 322)(295, 310)(297, 317)(298, 302)(299, 314)(301, 318)(306, 332)(308, 334)(312, 329)(316, 330)(319, 333)(321, 331)(323, 342)(324, 345)(325, 347)(326, 341)(327, 349)(328, 350)(335, 352)(336, 355)(337, 357)(338, 351)(339, 359)(340, 360)(343, 363)(344, 358)(346, 362)(348, 354)(353, 372)(356, 371)(361, 379)(364, 373)(365, 374)(366, 380)(367, 378)(368, 377)(369, 376)(370, 381)(375, 382)(383, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 417)(401, 418)(404, 425)(405, 426)(406, 429)(408, 432)(409, 433)(412, 440)(413, 441)(414, 444)(415, 437)(416, 435)(419, 439)(420, 431)(421, 443)(422, 430)(423, 447)(424, 434)(427, 449)(428, 436)(438, 459)(442, 461)(445, 469)(446, 470)(448, 466)(450, 463)(451, 462)(452, 474)(453, 476)(454, 460)(455, 473)(456, 475)(457, 479)(458, 480)(464, 484)(465, 486)(467, 483)(468, 485)(471, 488)(472, 491)(477, 489)(478, 481)(482, 500)(487, 498)(490, 507)(492, 503)(493, 504)(494, 501)(495, 502)(496, 506)(497, 505)(499, 509)(508, 511)(510, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1845
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1843 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y2 * Y3^-1 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, (Y2 * Y1)^4 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 45, 173, 19, 147)(9, 137, 26, 154, 60, 188, 27, 155)(12, 140, 31, 159, 67, 195, 32, 160)(13, 141, 33, 161, 68, 196, 34, 162)(15, 143, 37, 165, 73, 201, 38, 166)(16, 144, 39, 167, 74, 202, 40, 168)(17, 145, 42, 170, 78, 206, 43, 171)(20, 148, 47, 175, 85, 213, 48, 176)(21, 149, 49, 177, 86, 214, 50, 178)(23, 151, 53, 181, 91, 219, 54, 182)(24, 152, 55, 183, 92, 220, 56, 184)(25, 153, 57, 185, 93, 221, 58, 186)(28, 156, 62, 190, 99, 227, 63, 191)(30, 158, 65, 193, 102, 230, 66, 194)(35, 163, 69, 197, 103, 231, 70, 198)(36, 164, 71, 199, 104, 232, 72, 200)(41, 169, 75, 203, 105, 233, 76, 204)(44, 172, 80, 208, 111, 239, 81, 209)(46, 174, 83, 211, 114, 242, 84, 212)(51, 179, 87, 215, 115, 243, 88, 216)(52, 180, 89, 217, 116, 244, 90, 218)(59, 187, 94, 222, 117, 245, 95, 223)(61, 189, 97, 225, 120, 248, 98, 226)(64, 192, 100, 228, 121, 249, 101, 229)(77, 205, 106, 234, 122, 250, 107, 235)(79, 207, 109, 237, 125, 253, 110, 238)(82, 210, 112, 240, 126, 254, 113, 241)(96, 224, 118, 246, 127, 255, 119, 247)(108, 236, 123, 251, 128, 256, 124, 252)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 291)(272, 274)(278, 307)(281, 297)(282, 315)(283, 317)(284, 314)(285, 320)(286, 313)(287, 319)(288, 322)(289, 305)(290, 311)(292, 316)(293, 318)(294, 321)(295, 306)(296, 312)(298, 333)(299, 335)(300, 332)(301, 338)(302, 331)(303, 337)(304, 340)(308, 334)(309, 336)(310, 339)(323, 343)(324, 346)(325, 341)(326, 347)(327, 348)(328, 342)(329, 344)(330, 345)(349, 364)(350, 366)(351, 363)(352, 361)(353, 365)(354, 362)(355, 375)(356, 373)(357, 376)(358, 374)(359, 371)(360, 377)(367, 380)(368, 378)(369, 381)(370, 379)(372, 382)(383, 384)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 420)(399, 410)(401, 425)(402, 428)(403, 430)(404, 427)(406, 436)(407, 426)(413, 435)(415, 439)(416, 433)(417, 432)(418, 438)(419, 429)(421, 440)(422, 434)(423, 431)(424, 437)(441, 463)(442, 461)(443, 460)(444, 480)(445, 459)(446, 479)(447, 482)(448, 477)(449, 478)(450, 481)(451, 485)(452, 471)(453, 470)(454, 476)(455, 483)(456, 486)(457, 484)(458, 472)(462, 492)(464, 491)(465, 494)(466, 489)(467, 490)(468, 493)(469, 497)(473, 495)(474, 498)(475, 496)(487, 500)(488, 499)(501, 508)(502, 509)(503, 506)(504, 507)(505, 511)(510, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1844
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1844 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3 * Y1 * Y2, Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y3 * Y2 * Y1 * Y3 * Y1 * Y2)^2, (Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1)^2 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 31, 159, 287, 415)(17, 145, 273, 401, 35, 163, 291, 419)(18, 146, 274, 402, 37, 165, 293, 421)(19, 147, 275, 403, 39, 167, 295, 423)(21, 149, 277, 405, 43, 171, 299, 427)(23, 151, 279, 407, 46, 174, 302, 430)(25, 153, 281, 409, 50, 178, 306, 434)(26, 154, 282, 410, 52, 180, 308, 436)(27, 155, 283, 411, 54, 182, 310, 438)(29, 157, 285, 413, 58, 186, 314, 442)(32, 160, 288, 416, 61, 189, 317, 445)(33, 161, 289, 417, 62, 190, 318, 446)(34, 162, 290, 418, 63, 191, 319, 447)(36, 164, 292, 420, 65, 193, 321, 449)(38, 166, 294, 422, 67, 195, 323, 451)(40, 168, 296, 424, 68, 196, 324, 452)(41, 169, 297, 425, 69, 197, 325, 453)(42, 170, 298, 426, 70, 198, 326, 454)(44, 172, 300, 428, 71, 199, 327, 455)(45, 173, 301, 429, 72, 200, 328, 456)(47, 175, 303, 431, 73, 201, 329, 457)(48, 176, 304, 432, 74, 202, 330, 458)(49, 177, 305, 433, 75, 203, 331, 459)(51, 179, 307, 435, 77, 205, 333, 461)(53, 181, 309, 437, 79, 207, 335, 463)(55, 183, 311, 439, 80, 208, 336, 464)(56, 184, 312, 440, 81, 209, 337, 465)(57, 185, 313, 441, 82, 210, 338, 466)(59, 187, 315, 443, 83, 211, 339, 467)(60, 188, 316, 444, 84, 212, 340, 468)(64, 192, 320, 448, 87, 215, 343, 471)(66, 194, 322, 450, 88, 216, 344, 472)(76, 204, 332, 460, 97, 225, 353, 481)(78, 206, 334, 462, 98, 226, 354, 482)(85, 213, 341, 469, 105, 233, 361, 489)(86, 214, 342, 470, 106, 234, 362, 490)(89, 217, 345, 473, 108, 236, 364, 492)(90, 218, 346, 474, 109, 237, 365, 493)(91, 219, 347, 475, 110, 238, 366, 494)(92, 220, 348, 476, 111, 239, 367, 495)(93, 221, 349, 477, 112, 240, 368, 496)(94, 222, 350, 478, 113, 241, 369, 497)(95, 223, 351, 479, 114, 242, 370, 498)(96, 224, 352, 480, 115, 243, 371, 499)(99, 227, 355, 483, 117, 245, 373, 501)(100, 228, 356, 484, 118, 246, 374, 502)(101, 229, 357, 485, 119, 247, 375, 503)(102, 230, 358, 486, 120, 248, 376, 504)(103, 231, 359, 487, 121, 249, 377, 505)(104, 232, 360, 488, 122, 250, 378, 506)(107, 235, 363, 491, 124, 252, 380, 508)(116, 244, 372, 500, 126, 254, 382, 510)(123, 251, 379, 507, 127, 255, 383, 511)(125, 253, 381, 509, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 160)(17, 136)(18, 164)(19, 166)(20, 168)(21, 138)(22, 172)(23, 143)(24, 175)(25, 140)(26, 179)(27, 181)(28, 183)(29, 142)(30, 187)(31, 185)(32, 144)(33, 177)(34, 176)(35, 192)(36, 146)(37, 194)(38, 147)(39, 182)(40, 148)(41, 189)(42, 174)(43, 186)(44, 150)(45, 190)(46, 170)(47, 152)(48, 162)(49, 161)(50, 204)(51, 154)(52, 206)(53, 155)(54, 167)(55, 156)(56, 201)(57, 159)(58, 171)(59, 158)(60, 202)(61, 169)(62, 173)(63, 205)(64, 163)(65, 203)(66, 165)(67, 214)(68, 217)(69, 219)(70, 213)(71, 221)(72, 222)(73, 184)(74, 188)(75, 193)(76, 178)(77, 191)(78, 180)(79, 224)(80, 227)(81, 229)(82, 223)(83, 231)(84, 232)(85, 198)(86, 195)(87, 235)(88, 230)(89, 196)(90, 234)(91, 197)(92, 226)(93, 199)(94, 200)(95, 210)(96, 207)(97, 244)(98, 220)(99, 208)(100, 243)(101, 209)(102, 216)(103, 211)(104, 212)(105, 251)(106, 218)(107, 215)(108, 245)(109, 246)(110, 252)(111, 250)(112, 249)(113, 248)(114, 253)(115, 228)(116, 225)(117, 236)(118, 237)(119, 254)(120, 241)(121, 240)(122, 239)(123, 233)(124, 238)(125, 242)(126, 247)(127, 256)(128, 255)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 417)(273, 418)(274, 392)(275, 393)(276, 425)(277, 426)(278, 429)(279, 395)(280, 432)(281, 433)(282, 396)(283, 397)(284, 440)(285, 441)(286, 444)(287, 437)(288, 435)(289, 400)(290, 401)(291, 439)(292, 431)(293, 443)(294, 430)(295, 447)(296, 434)(297, 404)(298, 405)(299, 449)(300, 436)(301, 406)(302, 422)(303, 420)(304, 408)(305, 409)(306, 424)(307, 416)(308, 428)(309, 415)(310, 459)(311, 419)(312, 412)(313, 413)(314, 461)(315, 421)(316, 414)(317, 469)(318, 470)(319, 423)(320, 466)(321, 427)(322, 463)(323, 462)(324, 474)(325, 476)(326, 460)(327, 473)(328, 475)(329, 479)(330, 480)(331, 438)(332, 454)(333, 442)(334, 451)(335, 450)(336, 484)(337, 486)(338, 448)(339, 483)(340, 485)(341, 445)(342, 446)(343, 488)(344, 491)(345, 455)(346, 452)(347, 456)(348, 453)(349, 489)(350, 481)(351, 457)(352, 458)(353, 478)(354, 500)(355, 467)(356, 464)(357, 468)(358, 465)(359, 498)(360, 471)(361, 477)(362, 507)(363, 472)(364, 503)(365, 504)(366, 501)(367, 502)(368, 506)(369, 505)(370, 487)(371, 509)(372, 482)(373, 494)(374, 495)(375, 492)(376, 493)(377, 497)(378, 496)(379, 490)(380, 511)(381, 499)(382, 512)(383, 508)(384, 510)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1843
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1845 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y2 * Y3^-1 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y1, Y3 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2, (Y2 * Y1)^4 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 45, 173, 301, 429, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 60, 188, 316, 444, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 67, 195, 323, 451, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 68, 196, 324, 452, 34, 162, 290, 418)(15, 143, 271, 399, 37, 165, 293, 421, 73, 201, 329, 457, 38, 166, 294, 422)(16, 144, 272, 400, 39, 167, 295, 423, 74, 202, 330, 458, 40, 168, 296, 424)(17, 145, 273, 401, 42, 170, 298, 426, 78, 206, 334, 462, 43, 171, 299, 427)(20, 148, 276, 404, 47, 175, 303, 431, 85, 213, 341, 469, 48, 176, 304, 432)(21, 149, 277, 405, 49, 177, 305, 433, 86, 214, 342, 470, 50, 178, 306, 434)(23, 151, 279, 407, 53, 181, 309, 437, 91, 219, 347, 475, 54, 182, 310, 438)(24, 152, 280, 408, 55, 183, 311, 439, 92, 220, 348, 476, 56, 184, 312, 440)(25, 153, 281, 409, 57, 185, 313, 441, 93, 221, 349, 477, 58, 186, 314, 442)(28, 156, 284, 412, 62, 190, 318, 446, 99, 227, 355, 483, 63, 191, 319, 447)(30, 158, 286, 414, 65, 193, 321, 449, 102, 230, 358, 486, 66, 194, 322, 450)(35, 163, 291, 419, 69, 197, 325, 453, 103, 231, 359, 487, 70, 198, 326, 454)(36, 164, 292, 420, 71, 199, 327, 455, 104, 232, 360, 488, 72, 200, 328, 456)(41, 169, 297, 425, 75, 203, 331, 459, 105, 233, 361, 489, 76, 204, 332, 460)(44, 172, 300, 428, 80, 208, 336, 464, 111, 239, 367, 495, 81, 209, 337, 465)(46, 174, 302, 430, 83, 211, 339, 467, 114, 242, 370, 498, 84, 212, 340, 468)(51, 179, 307, 435, 87, 215, 343, 471, 115, 243, 371, 499, 88, 216, 344, 472)(52, 180, 308, 436, 89, 217, 345, 473, 116, 244, 372, 500, 90, 218, 346, 474)(59, 187, 315, 443, 94, 222, 350, 478, 117, 245, 373, 501, 95, 223, 351, 479)(61, 189, 317, 445, 97, 225, 353, 481, 120, 248, 376, 504, 98, 226, 354, 482)(64, 192, 320, 448, 100, 228, 356, 484, 121, 249, 377, 505, 101, 229, 357, 485)(77, 205, 333, 461, 106, 234, 362, 490, 122, 250, 378, 506, 107, 235, 363, 491)(79, 207, 335, 463, 109, 237, 365, 493, 125, 253, 381, 509, 110, 238, 366, 494)(82, 210, 338, 466, 112, 240, 368, 496, 126, 254, 382, 510, 113, 241, 369, 497)(96, 224, 352, 480, 118, 246, 374, 502, 127, 255, 383, 511, 119, 247, 375, 503)(108, 236, 364, 492, 123, 251, 379, 507, 128, 256, 384, 512, 124, 252, 380, 508)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 163)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 179)(23, 136)(24, 138)(25, 169)(26, 187)(27, 189)(28, 186)(29, 192)(30, 185)(31, 191)(32, 194)(33, 177)(34, 183)(35, 142)(36, 188)(37, 190)(38, 193)(39, 178)(40, 184)(41, 153)(42, 205)(43, 207)(44, 204)(45, 210)(46, 203)(47, 209)(48, 212)(49, 161)(50, 167)(51, 150)(52, 206)(53, 208)(54, 211)(55, 162)(56, 168)(57, 158)(58, 156)(59, 154)(60, 164)(61, 155)(62, 165)(63, 159)(64, 157)(65, 166)(66, 160)(67, 215)(68, 218)(69, 213)(70, 219)(71, 220)(72, 214)(73, 216)(74, 217)(75, 174)(76, 172)(77, 170)(78, 180)(79, 171)(80, 181)(81, 175)(82, 173)(83, 182)(84, 176)(85, 197)(86, 200)(87, 195)(88, 201)(89, 202)(90, 196)(91, 198)(92, 199)(93, 236)(94, 238)(95, 235)(96, 233)(97, 237)(98, 234)(99, 247)(100, 245)(101, 248)(102, 246)(103, 243)(104, 249)(105, 224)(106, 226)(107, 223)(108, 221)(109, 225)(110, 222)(111, 252)(112, 250)(113, 253)(114, 251)(115, 231)(116, 254)(117, 228)(118, 230)(119, 227)(120, 229)(121, 232)(122, 240)(123, 242)(124, 239)(125, 241)(126, 244)(127, 256)(128, 255)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 420)(271, 410)(272, 389)(273, 425)(274, 428)(275, 430)(276, 427)(277, 391)(278, 436)(279, 426)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 435)(286, 395)(287, 439)(288, 433)(289, 432)(290, 438)(291, 429)(292, 398)(293, 440)(294, 434)(295, 431)(296, 437)(297, 401)(298, 407)(299, 404)(300, 402)(301, 419)(302, 403)(303, 423)(304, 417)(305, 416)(306, 422)(307, 413)(308, 406)(309, 424)(310, 418)(311, 415)(312, 421)(313, 463)(314, 461)(315, 460)(316, 480)(317, 459)(318, 479)(319, 482)(320, 477)(321, 478)(322, 481)(323, 485)(324, 471)(325, 470)(326, 476)(327, 483)(328, 486)(329, 484)(330, 472)(331, 445)(332, 443)(333, 442)(334, 492)(335, 441)(336, 491)(337, 494)(338, 489)(339, 490)(340, 493)(341, 497)(342, 453)(343, 452)(344, 458)(345, 495)(346, 498)(347, 496)(348, 454)(349, 448)(350, 449)(351, 446)(352, 444)(353, 450)(354, 447)(355, 455)(356, 457)(357, 451)(358, 456)(359, 500)(360, 499)(361, 466)(362, 467)(363, 464)(364, 462)(365, 468)(366, 465)(367, 473)(368, 475)(369, 469)(370, 474)(371, 488)(372, 487)(373, 508)(374, 509)(375, 506)(376, 507)(377, 511)(378, 503)(379, 504)(380, 501)(381, 502)(382, 512)(383, 505)(384, 510)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1842
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1846 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 11182>$ (small group id <256, 11182>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3^-2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, (R * Y2 * Y1 * Y2)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 37, 165)(23, 151, 40, 168)(25, 153, 44, 172)(27, 155, 32, 160)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 33, 161)(31, 159, 51, 179)(35, 163, 54, 182)(42, 170, 64, 192)(43, 171, 66, 194)(45, 173, 62, 190)(46, 174, 59, 187)(47, 175, 60, 188)(48, 176, 63, 191)(49, 177, 56, 184)(50, 178, 57, 185)(52, 180, 72, 200)(53, 181, 74, 202)(55, 183, 70, 198)(58, 186, 71, 199)(61, 189, 77, 205)(65, 193, 80, 208)(67, 195, 82, 210)(68, 196, 83, 211)(69, 197, 85, 213)(73, 201, 88, 216)(75, 203, 90, 218)(76, 204, 91, 219)(78, 206, 96, 224)(79, 207, 98, 226)(81, 209, 94, 222)(84, 212, 95, 223)(86, 214, 104, 232)(87, 215, 106, 234)(89, 217, 102, 230)(92, 220, 103, 231)(93, 221, 101, 229)(97, 225, 111, 239)(99, 227, 113, 241)(100, 228, 114, 242)(105, 233, 118, 246)(107, 235, 120, 248)(108, 236, 121, 249)(109, 237, 119, 247)(110, 238, 122, 250)(112, 240, 116, 244)(115, 243, 117, 245)(123, 251, 126, 254)(124, 252, 127, 255)(125, 253, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 301, 429)(282, 410, 304, 432)(284, 412, 306, 434)(285, 413, 305, 433)(288, 416, 309, 437)(289, 417, 308, 436)(290, 418, 311, 439)(292, 420, 314, 442)(294, 422, 316, 444)(295, 423, 315, 443)(297, 425, 317, 445)(300, 428, 321, 449)(302, 430, 324, 452)(303, 431, 323, 451)(307, 435, 325, 453)(310, 438, 329, 457)(312, 440, 332, 460)(313, 441, 331, 459)(318, 446, 335, 463)(319, 447, 334, 462)(320, 448, 337, 465)(322, 450, 340, 468)(326, 454, 343, 471)(327, 455, 342, 470)(328, 456, 345, 473)(330, 458, 348, 476)(333, 461, 349, 477)(336, 464, 353, 481)(338, 466, 356, 484)(339, 467, 355, 483)(341, 469, 357, 485)(344, 472, 361, 489)(346, 474, 364, 492)(347, 475, 363, 491)(350, 478, 366, 494)(351, 479, 365, 493)(352, 480, 368, 496)(354, 482, 371, 499)(358, 486, 373, 501)(359, 487, 372, 500)(360, 488, 375, 503)(362, 490, 378, 506)(367, 495, 379, 507)(369, 497, 381, 509)(370, 498, 380, 508)(374, 502, 382, 510)(376, 504, 384, 512)(377, 505, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 300)(23, 265)(24, 302)(25, 267)(26, 303)(27, 305)(28, 270)(29, 268)(30, 306)(31, 308)(32, 310)(33, 271)(34, 312)(35, 273)(36, 313)(37, 315)(38, 276)(39, 274)(40, 316)(41, 318)(42, 321)(43, 277)(44, 279)(45, 323)(46, 282)(47, 280)(48, 324)(49, 286)(50, 283)(51, 326)(52, 329)(53, 287)(54, 289)(55, 331)(56, 292)(57, 290)(58, 332)(59, 296)(60, 293)(61, 334)(62, 336)(63, 297)(64, 338)(65, 299)(66, 339)(67, 304)(68, 301)(69, 342)(70, 344)(71, 307)(72, 346)(73, 309)(74, 347)(75, 314)(76, 311)(77, 350)(78, 353)(79, 317)(80, 319)(81, 355)(82, 322)(83, 320)(84, 356)(85, 358)(86, 361)(87, 325)(88, 327)(89, 363)(90, 330)(91, 328)(92, 364)(93, 365)(94, 367)(95, 333)(96, 369)(97, 335)(98, 370)(99, 340)(100, 337)(101, 372)(102, 374)(103, 341)(104, 376)(105, 343)(106, 377)(107, 348)(108, 345)(109, 379)(110, 349)(111, 351)(112, 380)(113, 354)(114, 352)(115, 381)(116, 382)(117, 357)(118, 359)(119, 383)(120, 362)(121, 360)(122, 384)(123, 366)(124, 371)(125, 368)(126, 373)(127, 378)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1848
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1847 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 11212>$ (small group id <256, 11212>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y2 * Y3)^2, Y1 * Y3^-2 * Y1 * Y3^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 44, 172)(23, 151, 46, 174)(25, 153, 45, 173)(27, 155, 51, 179)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 54, 182)(31, 159, 55, 183)(32, 160, 58, 186)(33, 161, 60, 188)(35, 163, 59, 187)(37, 165, 65, 193)(40, 168, 68, 196)(42, 170, 69, 197)(43, 171, 70, 198)(47, 175, 75, 203)(48, 176, 72, 200)(49, 177, 73, 201)(50, 178, 78, 206)(52, 180, 81, 209)(53, 181, 82, 210)(56, 184, 83, 211)(57, 185, 84, 212)(61, 189, 89, 217)(62, 190, 86, 214)(63, 191, 87, 215)(64, 192, 92, 220)(66, 194, 95, 223)(67, 195, 96, 224)(71, 199, 101, 229)(74, 202, 104, 232)(76, 204, 91, 219)(77, 205, 90, 218)(79, 207, 107, 235)(80, 208, 108, 236)(85, 213, 113, 241)(88, 216, 116, 244)(93, 221, 119, 247)(94, 222, 120, 248)(97, 225, 121, 249)(98, 226, 111, 239)(99, 227, 110, 238)(100, 228, 122, 250)(102, 230, 114, 242)(103, 231, 115, 243)(105, 233, 118, 246)(106, 234, 117, 245)(109, 237, 125, 253)(112, 240, 126, 254)(123, 251, 127, 255)(124, 252, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 303, 431)(282, 410, 306, 434)(284, 412, 309, 437)(285, 413, 308, 436)(288, 416, 313, 441)(289, 417, 312, 440)(290, 418, 317, 445)(292, 420, 320, 448)(294, 422, 323, 451)(295, 423, 322, 450)(297, 425, 315, 443)(300, 428, 327, 455)(301, 429, 311, 439)(302, 430, 330, 458)(304, 432, 333, 461)(305, 433, 332, 460)(307, 435, 331, 459)(310, 438, 334, 462)(314, 442, 341, 469)(316, 444, 344, 472)(318, 446, 347, 475)(319, 447, 346, 474)(321, 449, 345, 473)(324, 452, 348, 476)(325, 453, 353, 481)(326, 454, 356, 484)(328, 456, 359, 487)(329, 457, 358, 486)(335, 463, 362, 490)(336, 464, 361, 489)(337, 465, 354, 482)(338, 466, 355, 483)(339, 467, 365, 493)(340, 468, 368, 496)(342, 470, 371, 499)(343, 471, 370, 498)(349, 477, 374, 502)(350, 478, 373, 501)(351, 479, 366, 494)(352, 480, 367, 495)(357, 485, 377, 505)(360, 488, 378, 506)(363, 491, 379, 507)(364, 492, 380, 508)(369, 497, 381, 509)(372, 500, 382, 510)(375, 503, 383, 511)(376, 504, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 301)(23, 265)(24, 304)(25, 267)(26, 305)(27, 308)(28, 270)(29, 268)(30, 309)(31, 312)(32, 315)(33, 271)(34, 318)(35, 273)(36, 319)(37, 322)(38, 276)(39, 274)(40, 323)(41, 313)(42, 311)(43, 277)(44, 328)(45, 279)(46, 329)(47, 332)(48, 282)(49, 280)(50, 333)(51, 335)(52, 286)(53, 283)(54, 336)(55, 299)(56, 297)(57, 287)(58, 342)(59, 289)(60, 343)(61, 346)(62, 292)(63, 290)(64, 347)(65, 349)(66, 296)(67, 293)(68, 350)(69, 354)(70, 355)(71, 358)(72, 302)(73, 300)(74, 359)(75, 361)(76, 306)(77, 303)(78, 362)(79, 310)(80, 307)(81, 353)(82, 356)(83, 366)(84, 367)(85, 370)(86, 316)(87, 314)(88, 371)(89, 373)(90, 320)(91, 317)(92, 374)(93, 324)(94, 321)(95, 365)(96, 368)(97, 338)(98, 326)(99, 325)(100, 337)(101, 379)(102, 330)(103, 327)(104, 380)(105, 334)(106, 331)(107, 377)(108, 378)(109, 352)(110, 340)(111, 339)(112, 351)(113, 383)(114, 344)(115, 341)(116, 384)(117, 348)(118, 345)(119, 381)(120, 382)(121, 364)(122, 363)(123, 360)(124, 357)(125, 376)(126, 375)(127, 372)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1849
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1848 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 11182>$ (small group id <256, 11182>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, Y1 * R * Y3^-1 * Y1^-1 * Y3^-1 * R, (Y3^2 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1^-1 * Y2 * Y1^2 * Y2 * Y3^-1 * Y1, Y3^3 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y2 * Y3^-1 * Y1 * Y2 * Y1, Y2 * Y1^2 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, (Y2 * Y1 * Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^4, Y3^8, Y1^-1 * Y3 * Y1^-2 * Y3^-2 * Y1 * Y3^-1, Y3^2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-3 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 43, 171, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 65, 193, 27, 155)(10, 138, 31, 159, 62, 190, 23, 151)(12, 140, 37, 165, 58, 186, 39, 167)(14, 142, 42, 170, 60, 188, 35, 163)(16, 144, 46, 174, 61, 189, 48, 176)(18, 146, 51, 179, 82, 210, 52, 180)(19, 147, 24, 152, 63, 191, 53, 181)(21, 149, 34, 162, 64, 192, 54, 182)(22, 150, 57, 185, 99, 227, 59, 187)(26, 154, 69, 197, 44, 172, 71, 199)(28, 156, 72, 200, 41, 169, 67, 195)(29, 157, 73, 201, 40, 168, 75, 203)(32, 160, 66, 194, 45, 173, 78, 206)(36, 164, 83, 211, 100, 228, 76, 204)(38, 166, 87, 215, 111, 239, 89, 217)(47, 175, 94, 222, 105, 233, 80, 208)(49, 177, 97, 225, 103, 231, 68, 196)(50, 178, 77, 205, 55, 183, 79, 207)(56, 184, 85, 213, 112, 240, 81, 209)(70, 198, 108, 236, 96, 224, 110, 238)(74, 202, 113, 241, 98, 226, 104, 232)(84, 212, 101, 229, 86, 214, 115, 243)(88, 216, 121, 249, 123, 251, 118, 246)(90, 218, 107, 235, 92, 220, 106, 234)(91, 219, 102, 230, 93, 221, 116, 244)(95, 223, 114, 242, 124, 252, 119, 247)(109, 237, 127, 255, 120, 248, 126, 254)(117, 245, 125, 253, 122, 250, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 296, 424)(271, 399, 300, 428)(272, 400, 283, 411)(273, 401, 305, 433)(275, 403, 297, 425)(276, 404, 298, 426)(277, 405, 294, 422)(279, 407, 316, 444)(280, 408, 314, 442)(281, 409, 322, 450)(285, 413, 315, 443)(286, 414, 332, 460)(287, 415, 328, 456)(288, 416, 326, 454)(289, 417, 333, 461)(291, 419, 319, 447)(292, 420, 337, 465)(293, 421, 341, 469)(295, 423, 330, 458)(299, 427, 323, 451)(301, 429, 346, 474)(302, 430, 348, 476)(303, 431, 325, 453)(304, 432, 352, 480)(306, 434, 338, 466)(307, 435, 334, 462)(308, 436, 317, 445)(309, 437, 339, 467)(310, 438, 313, 441)(311, 439, 321, 449)(312, 440, 344, 472)(318, 446, 359, 487)(320, 448, 357, 485)(324, 452, 361, 489)(327, 455, 358, 486)(329, 457, 367, 495)(331, 459, 371, 499)(335, 463, 355, 483)(336, 464, 365, 493)(340, 468, 373, 501)(342, 470, 375, 503)(343, 471, 370, 498)(345, 473, 378, 506)(347, 475, 376, 504)(349, 477, 374, 502)(350, 478, 377, 505)(351, 479, 363, 491)(353, 481, 372, 500)(354, 482, 356, 484)(360, 488, 379, 507)(362, 490, 381, 509)(364, 492, 380, 508)(366, 494, 384, 512)(368, 496, 382, 510)(369, 497, 383, 511)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 294)(13, 297)(14, 259)(15, 261)(16, 303)(17, 306)(18, 300)(19, 296)(20, 310)(21, 262)(22, 314)(23, 317)(24, 263)(25, 323)(26, 326)(27, 270)(28, 264)(29, 330)(30, 333)(31, 334)(32, 266)(33, 332)(34, 337)(35, 338)(36, 267)(37, 269)(38, 344)(39, 315)(40, 341)(41, 274)(42, 321)(43, 322)(44, 346)(45, 271)(46, 273)(47, 351)(48, 318)(49, 348)(50, 319)(51, 328)(52, 316)(53, 335)(54, 354)(55, 276)(56, 277)(57, 298)(58, 357)(59, 284)(60, 278)(61, 358)(62, 311)(63, 290)(64, 280)(65, 359)(66, 361)(67, 289)(68, 281)(69, 283)(70, 365)(71, 308)(72, 355)(73, 286)(74, 370)(75, 309)(76, 367)(77, 299)(78, 372)(79, 287)(80, 288)(81, 373)(82, 305)(83, 371)(84, 292)(85, 375)(86, 293)(87, 295)(88, 363)(89, 356)(90, 376)(91, 301)(92, 374)(93, 302)(94, 304)(95, 312)(96, 377)(97, 307)(98, 378)(99, 339)(100, 313)(101, 379)(102, 380)(103, 352)(104, 320)(105, 381)(106, 324)(107, 325)(108, 327)(109, 343)(110, 353)(111, 382)(112, 329)(113, 331)(114, 336)(115, 383)(116, 384)(117, 349)(118, 340)(119, 347)(120, 342)(121, 345)(122, 350)(123, 364)(124, 360)(125, 368)(126, 362)(127, 366)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1846
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1849 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 330>$ (small group id <128, 330>)
Aut   = $<256, 11212>$ (small group id <256, 11212>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3^-1)^2, Y3^-1 * R * Y3 * Y2 * R * Y2, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1^-1, (Y3^3 * Y1^-1)^2, Y3 * Y2 * Y1^2 * Y3 * Y2 * Y1^-2, Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, Y2 * Y1^-1 * Y2 * Y3 * Y1^-2 * Y3 * Y1^-1, (Y3 * Y1^-1)^4, Y3 * R * Y3^-1 * Y2 * Y1^-1 * Y2 * R * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 65, 193, 27, 155)(10, 138, 31, 159, 62, 190, 23, 151)(12, 140, 35, 163, 58, 186, 37, 165)(14, 142, 40, 168, 60, 188, 34, 162)(16, 144, 45, 173, 61, 189, 38, 166)(18, 146, 36, 164, 83, 211, 48, 176)(19, 147, 24, 152, 63, 191, 51, 179)(21, 149, 55, 183, 64, 192, 53, 181)(22, 150, 57, 185, 99, 227, 59, 187)(26, 154, 67, 195, 43, 171, 68, 196)(28, 156, 71, 199, 49, 177, 66, 194)(29, 157, 73, 201, 50, 178, 69, 197)(32, 160, 79, 207, 44, 172, 77, 205)(39, 167, 81, 209, 100, 228, 76, 204)(41, 169, 88, 216, 115, 243, 87, 215)(46, 174, 84, 212, 116, 244, 80, 208)(47, 175, 75, 203, 54, 182, 78, 206)(52, 180, 92, 220, 103, 231, 70, 198)(56, 184, 94, 222, 111, 239, 98, 226)(72, 200, 109, 237, 95, 223, 108, 236)(74, 202, 106, 234, 96, 224, 104, 232)(82, 210, 101, 229, 85, 213, 113, 241)(86, 214, 102, 230, 90, 218, 114, 242)(89, 217, 118, 246, 123, 251, 122, 250)(91, 219, 112, 240, 124, 252, 119, 247)(93, 221, 107, 235, 97, 225, 105, 233)(110, 238, 126, 254, 120, 248, 128, 256)(117, 245, 125, 253, 121, 249, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 288, 416)(269, 397, 294, 422)(271, 399, 299, 427)(272, 400, 297, 425)(273, 401, 293, 421)(275, 403, 305, 433)(276, 404, 308, 436)(277, 405, 292, 420)(279, 407, 316, 444)(280, 408, 314, 442)(281, 409, 320, 448)(283, 411, 325, 453)(285, 413, 328, 456)(286, 414, 324, 452)(287, 415, 332, 460)(289, 417, 331, 459)(290, 418, 336, 464)(291, 419, 318, 446)(295, 423, 340, 468)(296, 424, 342, 470)(298, 426, 337, 465)(300, 428, 313, 441)(301, 429, 315, 443)(302, 430, 345, 473)(303, 431, 339, 467)(304, 432, 329, 457)(306, 434, 349, 477)(307, 435, 323, 451)(309, 437, 351, 479)(310, 438, 321, 449)(311, 439, 353, 481)(312, 440, 327, 455)(317, 445, 357, 485)(319, 447, 359, 487)(322, 450, 360, 488)(326, 454, 362, 490)(330, 458, 366, 494)(333, 461, 369, 497)(334, 462, 355, 483)(335, 463, 371, 499)(338, 466, 368, 496)(341, 469, 373, 501)(343, 471, 375, 503)(344, 472, 377, 505)(346, 474, 356, 484)(347, 475, 364, 492)(348, 476, 367, 495)(350, 478, 376, 504)(352, 480, 374, 502)(354, 482, 378, 506)(358, 486, 379, 507)(361, 489, 380, 508)(363, 491, 381, 509)(365, 493, 383, 511)(370, 498, 382, 510)(372, 500, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 290)(12, 292)(13, 295)(14, 259)(15, 261)(16, 302)(17, 303)(18, 299)(19, 306)(20, 309)(21, 262)(22, 314)(23, 317)(24, 263)(25, 322)(26, 267)(27, 326)(28, 264)(29, 330)(30, 331)(31, 333)(32, 266)(33, 324)(34, 338)(35, 269)(36, 327)(37, 315)(38, 318)(39, 341)(40, 343)(41, 270)(42, 335)(43, 313)(44, 271)(45, 273)(46, 347)(47, 319)(48, 348)(49, 274)(50, 350)(51, 334)(52, 321)(53, 352)(54, 276)(55, 354)(56, 277)(57, 296)(58, 281)(59, 356)(60, 278)(61, 358)(62, 310)(63, 311)(64, 280)(65, 291)(66, 361)(67, 283)(68, 304)(69, 307)(70, 363)(71, 364)(72, 284)(73, 286)(74, 368)(75, 298)(76, 355)(77, 370)(78, 287)(79, 372)(80, 288)(81, 289)(82, 366)(83, 293)(84, 294)(85, 374)(86, 300)(87, 376)(88, 378)(89, 297)(90, 301)(91, 312)(92, 365)(93, 305)(94, 375)(95, 308)(96, 373)(97, 359)(98, 377)(99, 323)(100, 344)(101, 316)(102, 380)(103, 339)(104, 320)(105, 379)(106, 325)(107, 382)(108, 345)(109, 384)(110, 328)(111, 329)(112, 336)(113, 332)(114, 381)(115, 337)(116, 383)(117, 340)(118, 351)(119, 342)(120, 349)(121, 346)(122, 353)(123, 357)(124, 360)(125, 362)(126, 369)(127, 367)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1847
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1850 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, (Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y1 * Y2 * Y3)^4, Y2 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 155, 27, 144)(18, 164, 36, 146)(19, 152, 24, 147)(20, 167, 39, 148)(22, 171, 43, 150)(23, 172, 44, 151)(26, 177, 49, 154)(28, 180, 52, 156)(30, 184, 56, 158)(32, 187, 59, 160)(33, 189, 61, 161)(34, 186, 58, 162)(35, 192, 64, 163)(37, 178, 50, 165)(38, 196, 68, 166)(40, 199, 71, 168)(41, 200, 72, 169)(42, 197, 69, 170)(45, 203, 75, 173)(46, 205, 77, 174)(47, 202, 74, 175)(48, 208, 80, 176)(51, 212, 84, 179)(53, 215, 87, 181)(54, 216, 88, 182)(55, 213, 85, 183)(57, 217, 89, 185)(60, 210, 82, 188)(62, 224, 96, 190)(63, 207, 79, 191)(65, 209, 81, 193)(66, 204, 76, 194)(67, 225, 97, 195)(70, 228, 100, 198)(73, 229, 101, 201)(78, 236, 108, 206)(83, 237, 109, 211)(86, 240, 112, 214)(90, 238, 110, 218)(91, 239, 111, 219)(92, 242, 114, 220)(93, 233, 105, 221)(94, 244, 116, 222)(95, 235, 107, 223)(98, 230, 102, 226)(99, 231, 103, 227)(104, 247, 119, 232)(106, 249, 121, 234)(113, 246, 118, 241)(115, 252, 124, 243)(117, 251, 123, 245)(120, 254, 126, 248)(122, 253, 125, 250)(127, 256, 128, 255)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 33)(17, 34)(20, 40)(21, 41)(22, 37)(24, 46)(25, 47)(28, 53)(29, 54)(30, 50)(31, 57)(32, 60)(35, 65)(36, 66)(38, 67)(39, 69)(42, 63)(43, 62)(44, 73)(45, 76)(48, 81)(49, 82)(51, 83)(52, 85)(55, 79)(56, 78)(58, 91)(59, 92)(61, 94)(64, 97)(68, 95)(70, 98)(71, 93)(72, 90)(74, 103)(75, 104)(77, 106)(80, 109)(84, 107)(86, 110)(87, 105)(88, 102)(89, 113)(96, 115)(99, 117)(100, 116)(101, 118)(108, 120)(111, 122)(112, 121)(114, 123)(119, 125)(124, 127)(126, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 163)(146, 165)(147, 166)(149, 170)(151, 173)(153, 176)(154, 178)(155, 179)(157, 183)(159, 186)(161, 190)(162, 191)(164, 195)(167, 198)(168, 194)(169, 193)(171, 188)(172, 202)(174, 206)(175, 207)(177, 211)(180, 214)(181, 210)(182, 209)(184, 204)(185, 218)(187, 221)(189, 223)(192, 226)(196, 220)(197, 227)(199, 222)(200, 224)(201, 230)(203, 233)(205, 235)(208, 238)(212, 232)(213, 239)(215, 234)(216, 236)(217, 242)(219, 243)(225, 245)(228, 241)(229, 247)(231, 248)(237, 250)(240, 246)(244, 252)(249, 254)(251, 255)(253, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1851
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1851 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y3 * Y1 * Y2)^2, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2)^4, (Y2 * Y1 * Y3 * Y1^-1)^2, (Y2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 153, 25, 139, 11, 131)(4, 140, 12, 160, 32, 142, 14, 132)(7, 147, 19, 175, 47, 149, 21, 135)(8, 150, 22, 181, 53, 152, 24, 136)(10, 156, 28, 170, 42, 151, 23, 138)(13, 162, 34, 173, 45, 148, 20, 141)(15, 165, 37, 201, 73, 166, 38, 143)(16, 167, 39, 202, 74, 168, 40, 144)(17, 169, 41, 203, 75, 171, 43, 145)(18, 172, 44, 209, 81, 174, 46, 146)(26, 184, 56, 204, 76, 188, 60, 154)(27, 189, 61, 205, 77, 177, 49, 155)(29, 191, 63, 223, 95, 187, 59, 157)(30, 182, 54, 207, 79, 193, 65, 158)(31, 194, 66, 208, 80, 180, 52, 159)(33, 179, 51, 210, 82, 197, 69, 161)(35, 199, 71, 230, 102, 196, 68, 163)(36, 176, 48, 212, 84, 200, 72, 164)(50, 216, 88, 241, 113, 215, 87, 178)(55, 220, 92, 244, 116, 219, 91, 183)(57, 213, 85, 233, 105, 221, 93, 185)(58, 222, 94, 234, 106, 218, 90, 186)(62, 225, 97, 245, 117, 227, 99, 190)(64, 217, 89, 237, 109, 226, 98, 192)(67, 229, 101, 238, 110, 214, 86, 195)(70, 231, 103, 249, 121, 232, 104, 198)(78, 236, 108, 250, 122, 235, 107, 206)(83, 240, 112, 253, 125, 239, 111, 211)(96, 247, 119, 251, 123, 242, 114, 224)(100, 248, 120, 252, 124, 243, 115, 228)(118, 254, 126, 256, 128, 255, 127, 246)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 31)(14, 27)(16, 28)(18, 45)(19, 48)(20, 50)(21, 51)(22, 52)(24, 49)(25, 57)(32, 67)(33, 68)(34, 70)(35, 64)(36, 71)(37, 72)(38, 69)(39, 66)(40, 61)(41, 76)(42, 78)(43, 79)(44, 80)(46, 77)(47, 85)(53, 90)(54, 91)(55, 89)(56, 92)(58, 95)(59, 96)(60, 97)(62, 98)(63, 100)(65, 99)(73, 93)(74, 94)(75, 105)(81, 110)(82, 111)(83, 109)(84, 112)(86, 113)(87, 114)(88, 115)(101, 121)(102, 118)(103, 120)(104, 119)(106, 122)(107, 123)(108, 124)(116, 126)(117, 127)(125, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 155)(139, 159)(140, 161)(141, 163)(142, 164)(143, 162)(145, 170)(147, 177)(149, 180)(150, 182)(151, 183)(152, 184)(153, 186)(154, 187)(156, 190)(157, 192)(158, 191)(160, 185)(165, 189)(166, 194)(167, 193)(168, 188)(169, 205)(171, 208)(172, 210)(173, 211)(174, 212)(175, 214)(176, 215)(178, 217)(179, 216)(181, 213)(195, 230)(196, 228)(197, 231)(198, 226)(199, 224)(200, 232)(201, 229)(202, 221)(203, 234)(204, 235)(206, 237)(207, 236)(209, 233)(218, 244)(219, 243)(220, 242)(222, 245)(223, 246)(225, 247)(227, 248)(238, 253)(239, 252)(240, 251)(241, 254)(249, 255)(250, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1850
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1852 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1)^4, (Y3 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y1 * Y3 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y3 * Y2)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 31, 159)(17, 145, 35, 163)(18, 146, 37, 165)(19, 147, 39, 167)(21, 149, 42, 170)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 50, 178)(27, 155, 52, 180)(29, 157, 55, 183)(32, 160, 57, 185)(33, 161, 58, 186)(34, 162, 59, 187)(36, 164, 61, 189)(38, 166, 63, 191)(40, 168, 67, 195)(41, 169, 68, 196)(43, 171, 72, 200)(45, 173, 73, 201)(46, 174, 74, 202)(47, 175, 75, 203)(49, 177, 77, 205)(51, 179, 79, 207)(53, 181, 83, 211)(54, 182, 84, 212)(56, 184, 88, 216)(60, 188, 91, 219)(62, 190, 92, 220)(64, 192, 93, 221)(65, 193, 94, 222)(66, 194, 95, 223)(69, 197, 97, 225)(70, 198, 98, 226)(71, 199, 99, 227)(76, 204, 103, 231)(78, 206, 104, 232)(80, 208, 105, 233)(81, 209, 106, 234)(82, 210, 107, 235)(85, 213, 109, 237)(86, 214, 110, 238)(87, 215, 111, 239)(89, 217, 113, 241)(90, 218, 114, 242)(96, 224, 116, 244)(100, 228, 117, 245)(101, 229, 118, 246)(102, 230, 119, 247)(108, 236, 121, 249)(112, 240, 122, 250)(115, 243, 124, 252)(120, 248, 126, 254)(123, 251, 127, 255)(125, 253, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 279)(272, 288)(274, 292)(275, 294)(276, 296)(278, 286)(280, 301)(282, 305)(283, 307)(284, 309)(287, 310)(289, 303)(290, 302)(291, 316)(293, 314)(295, 320)(297, 300)(298, 325)(299, 327)(304, 332)(306, 330)(308, 336)(311, 341)(312, 343)(313, 338)(315, 342)(317, 337)(318, 334)(319, 335)(321, 333)(322, 329)(323, 352)(324, 346)(326, 331)(328, 354)(339, 364)(340, 358)(344, 366)(345, 357)(347, 371)(348, 365)(349, 369)(350, 367)(351, 368)(353, 360)(355, 362)(356, 363)(359, 376)(361, 374)(370, 379)(372, 377)(373, 380)(375, 381)(378, 382)(383, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 417)(401, 418)(404, 419)(405, 425)(406, 427)(408, 430)(409, 431)(412, 432)(413, 438)(414, 440)(415, 435)(416, 433)(420, 429)(421, 446)(422, 428)(423, 449)(424, 450)(426, 454)(434, 462)(436, 465)(437, 466)(439, 470)(441, 468)(442, 473)(443, 464)(444, 474)(445, 469)(447, 471)(448, 459)(451, 477)(452, 457)(453, 461)(455, 463)(456, 484)(458, 485)(460, 486)(467, 489)(472, 496)(475, 494)(476, 492)(478, 491)(479, 490)(480, 488)(481, 498)(482, 487)(483, 499)(493, 503)(495, 504)(497, 507)(500, 506)(501, 505)(502, 509)(508, 511)(510, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1855
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1853 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y2 * Y1)^4, (Y3^-2 * Y1)^4 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 45, 173, 19, 147)(9, 137, 26, 154, 60, 188, 27, 155)(12, 140, 31, 159, 67, 195, 32, 160)(13, 141, 33, 161, 68, 196, 34, 162)(15, 143, 37, 165, 73, 201, 38, 166)(16, 144, 39, 167, 74, 202, 40, 168)(17, 145, 42, 170, 78, 206, 43, 171)(20, 148, 47, 175, 85, 213, 48, 176)(21, 149, 49, 177, 86, 214, 50, 178)(23, 151, 53, 181, 91, 219, 54, 182)(24, 152, 55, 183, 92, 220, 56, 184)(25, 153, 57, 185, 93, 221, 58, 186)(28, 156, 62, 190, 99, 227, 63, 191)(30, 158, 65, 193, 102, 230, 66, 194)(35, 163, 69, 197, 103, 231, 70, 198)(36, 164, 71, 199, 104, 232, 72, 200)(41, 169, 75, 203, 105, 233, 76, 204)(44, 172, 80, 208, 111, 239, 81, 209)(46, 174, 83, 211, 114, 242, 84, 212)(51, 179, 87, 215, 115, 243, 88, 216)(52, 180, 89, 217, 116, 244, 90, 218)(59, 187, 94, 222, 117, 245, 95, 223)(61, 189, 97, 225, 120, 248, 98, 226)(64, 192, 100, 228, 121, 249, 101, 229)(77, 205, 106, 234, 122, 250, 107, 235)(79, 207, 109, 237, 125, 253, 110, 238)(82, 210, 112, 240, 126, 254, 113, 241)(96, 224, 118, 246, 127, 255, 119, 247)(108, 236, 123, 251, 128, 256, 124, 252)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 291)(272, 274)(278, 307)(281, 297)(282, 315)(283, 317)(284, 314)(285, 320)(286, 313)(287, 321)(288, 318)(289, 312)(290, 306)(292, 316)(293, 322)(294, 319)(295, 311)(296, 305)(298, 333)(299, 335)(300, 332)(301, 338)(302, 331)(303, 339)(304, 336)(308, 334)(309, 340)(310, 337)(323, 343)(324, 346)(325, 341)(326, 347)(327, 348)(328, 342)(329, 344)(330, 345)(349, 364)(350, 362)(351, 365)(352, 361)(353, 363)(354, 366)(355, 375)(356, 373)(357, 376)(358, 374)(359, 371)(360, 377)(367, 380)(368, 378)(369, 381)(370, 379)(372, 382)(383, 384)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 420)(399, 410)(401, 425)(402, 428)(403, 430)(404, 427)(406, 436)(407, 426)(413, 435)(415, 434)(416, 440)(417, 437)(418, 431)(419, 429)(421, 433)(422, 439)(423, 438)(424, 432)(441, 463)(442, 461)(443, 460)(444, 480)(445, 459)(446, 481)(447, 478)(448, 477)(449, 482)(450, 479)(451, 485)(452, 471)(453, 470)(454, 476)(455, 483)(456, 486)(457, 484)(458, 472)(462, 492)(464, 493)(465, 490)(466, 489)(467, 494)(468, 491)(469, 497)(473, 495)(474, 498)(475, 496)(487, 500)(488, 499)(501, 508)(502, 509)(503, 506)(504, 507)(505, 511)(510, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1854
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1854 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y2 * Y1)^4, (Y3 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y1 * Y3 * Y2)^4, Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1, (Y3 * Y2)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 31, 159, 287, 415)(17, 145, 273, 401, 35, 163, 291, 419)(18, 146, 274, 402, 37, 165, 293, 421)(19, 147, 275, 403, 39, 167, 295, 423)(21, 149, 277, 405, 42, 170, 298, 426)(23, 151, 279, 407, 44, 172, 300, 428)(25, 153, 281, 409, 48, 176, 304, 432)(26, 154, 282, 410, 50, 178, 306, 434)(27, 155, 283, 411, 52, 180, 308, 436)(29, 157, 285, 413, 55, 183, 311, 439)(32, 160, 288, 416, 57, 185, 313, 441)(33, 161, 289, 417, 58, 186, 314, 442)(34, 162, 290, 418, 59, 187, 315, 443)(36, 164, 292, 420, 61, 189, 317, 445)(38, 166, 294, 422, 63, 191, 319, 447)(40, 168, 296, 424, 67, 195, 323, 451)(41, 169, 297, 425, 68, 196, 324, 452)(43, 171, 299, 427, 72, 200, 328, 456)(45, 173, 301, 429, 73, 201, 329, 457)(46, 174, 302, 430, 74, 202, 330, 458)(47, 175, 303, 431, 75, 203, 331, 459)(49, 177, 305, 433, 77, 205, 333, 461)(51, 179, 307, 435, 79, 207, 335, 463)(53, 181, 309, 437, 83, 211, 339, 467)(54, 182, 310, 438, 84, 212, 340, 468)(56, 184, 312, 440, 88, 216, 344, 472)(60, 188, 316, 444, 91, 219, 347, 475)(62, 190, 318, 446, 92, 220, 348, 476)(64, 192, 320, 448, 93, 221, 349, 477)(65, 193, 321, 449, 94, 222, 350, 478)(66, 194, 322, 450, 95, 223, 351, 479)(69, 197, 325, 453, 97, 225, 353, 481)(70, 198, 326, 454, 98, 226, 354, 482)(71, 199, 327, 455, 99, 227, 355, 483)(76, 204, 332, 460, 103, 231, 359, 487)(78, 206, 334, 462, 104, 232, 360, 488)(80, 208, 336, 464, 105, 233, 361, 489)(81, 209, 337, 465, 106, 234, 362, 490)(82, 210, 338, 466, 107, 235, 363, 491)(85, 213, 341, 469, 109, 237, 365, 493)(86, 214, 342, 470, 110, 238, 366, 494)(87, 215, 343, 471, 111, 239, 367, 495)(89, 217, 345, 473, 113, 241, 369, 497)(90, 218, 346, 474, 114, 242, 370, 498)(96, 224, 352, 480, 116, 244, 372, 500)(100, 228, 356, 484, 117, 245, 373, 501)(101, 229, 357, 485, 118, 246, 374, 502)(102, 230, 358, 486, 119, 247, 375, 503)(108, 236, 364, 492, 121, 249, 377, 505)(112, 240, 368, 496, 122, 250, 378, 506)(115, 243, 371, 499, 124, 252, 380, 508)(120, 248, 376, 504, 126, 254, 382, 510)(123, 251, 379, 507, 127, 255, 383, 511)(125, 253, 381, 509, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 160)(17, 136)(18, 164)(19, 166)(20, 168)(21, 138)(22, 158)(23, 143)(24, 173)(25, 140)(26, 177)(27, 179)(28, 181)(29, 142)(30, 150)(31, 182)(32, 144)(33, 175)(34, 174)(35, 188)(36, 146)(37, 186)(38, 147)(39, 192)(40, 148)(41, 172)(42, 197)(43, 199)(44, 169)(45, 152)(46, 162)(47, 161)(48, 204)(49, 154)(50, 202)(51, 155)(52, 208)(53, 156)(54, 159)(55, 213)(56, 215)(57, 210)(58, 165)(59, 214)(60, 163)(61, 209)(62, 206)(63, 207)(64, 167)(65, 205)(66, 201)(67, 224)(68, 218)(69, 170)(70, 203)(71, 171)(72, 226)(73, 194)(74, 178)(75, 198)(76, 176)(77, 193)(78, 190)(79, 191)(80, 180)(81, 189)(82, 185)(83, 236)(84, 230)(85, 183)(86, 187)(87, 184)(88, 238)(89, 229)(90, 196)(91, 243)(92, 237)(93, 241)(94, 239)(95, 240)(96, 195)(97, 232)(98, 200)(99, 234)(100, 235)(101, 217)(102, 212)(103, 248)(104, 225)(105, 246)(106, 227)(107, 228)(108, 211)(109, 220)(110, 216)(111, 222)(112, 223)(113, 221)(114, 251)(115, 219)(116, 249)(117, 252)(118, 233)(119, 253)(120, 231)(121, 244)(122, 254)(123, 242)(124, 245)(125, 247)(126, 250)(127, 256)(128, 255)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 417)(273, 418)(274, 392)(275, 393)(276, 419)(277, 425)(278, 427)(279, 395)(280, 430)(281, 431)(282, 396)(283, 397)(284, 432)(285, 438)(286, 440)(287, 435)(288, 433)(289, 400)(290, 401)(291, 404)(292, 429)(293, 446)(294, 428)(295, 449)(296, 450)(297, 405)(298, 454)(299, 406)(300, 422)(301, 420)(302, 408)(303, 409)(304, 412)(305, 416)(306, 462)(307, 415)(308, 465)(309, 466)(310, 413)(311, 470)(312, 414)(313, 468)(314, 473)(315, 464)(316, 474)(317, 469)(318, 421)(319, 471)(320, 459)(321, 423)(322, 424)(323, 477)(324, 457)(325, 461)(326, 426)(327, 463)(328, 484)(329, 452)(330, 485)(331, 448)(332, 486)(333, 453)(334, 434)(335, 455)(336, 443)(337, 436)(338, 437)(339, 489)(340, 441)(341, 445)(342, 439)(343, 447)(344, 496)(345, 442)(346, 444)(347, 494)(348, 492)(349, 451)(350, 491)(351, 490)(352, 488)(353, 498)(354, 487)(355, 499)(356, 456)(357, 458)(358, 460)(359, 482)(360, 480)(361, 467)(362, 479)(363, 478)(364, 476)(365, 503)(366, 475)(367, 504)(368, 472)(369, 507)(370, 481)(371, 483)(372, 506)(373, 505)(374, 509)(375, 493)(376, 495)(377, 501)(378, 500)(379, 497)(380, 511)(381, 502)(382, 512)(383, 508)(384, 510)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1853
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1855 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, (Y3^-1 * Y2 * Y3^-1 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, (Y2 * Y1)^4, (Y3^-2 * Y1)^4 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 45, 173, 301, 429, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 60, 188, 316, 444, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 67, 195, 323, 451, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 68, 196, 324, 452, 34, 162, 290, 418)(15, 143, 271, 399, 37, 165, 293, 421, 73, 201, 329, 457, 38, 166, 294, 422)(16, 144, 272, 400, 39, 167, 295, 423, 74, 202, 330, 458, 40, 168, 296, 424)(17, 145, 273, 401, 42, 170, 298, 426, 78, 206, 334, 462, 43, 171, 299, 427)(20, 148, 276, 404, 47, 175, 303, 431, 85, 213, 341, 469, 48, 176, 304, 432)(21, 149, 277, 405, 49, 177, 305, 433, 86, 214, 342, 470, 50, 178, 306, 434)(23, 151, 279, 407, 53, 181, 309, 437, 91, 219, 347, 475, 54, 182, 310, 438)(24, 152, 280, 408, 55, 183, 311, 439, 92, 220, 348, 476, 56, 184, 312, 440)(25, 153, 281, 409, 57, 185, 313, 441, 93, 221, 349, 477, 58, 186, 314, 442)(28, 156, 284, 412, 62, 190, 318, 446, 99, 227, 355, 483, 63, 191, 319, 447)(30, 158, 286, 414, 65, 193, 321, 449, 102, 230, 358, 486, 66, 194, 322, 450)(35, 163, 291, 419, 69, 197, 325, 453, 103, 231, 359, 487, 70, 198, 326, 454)(36, 164, 292, 420, 71, 199, 327, 455, 104, 232, 360, 488, 72, 200, 328, 456)(41, 169, 297, 425, 75, 203, 331, 459, 105, 233, 361, 489, 76, 204, 332, 460)(44, 172, 300, 428, 80, 208, 336, 464, 111, 239, 367, 495, 81, 209, 337, 465)(46, 174, 302, 430, 83, 211, 339, 467, 114, 242, 370, 498, 84, 212, 340, 468)(51, 179, 307, 435, 87, 215, 343, 471, 115, 243, 371, 499, 88, 216, 344, 472)(52, 180, 308, 436, 89, 217, 345, 473, 116, 244, 372, 500, 90, 218, 346, 474)(59, 187, 315, 443, 94, 222, 350, 478, 117, 245, 373, 501, 95, 223, 351, 479)(61, 189, 317, 445, 97, 225, 353, 481, 120, 248, 376, 504, 98, 226, 354, 482)(64, 192, 320, 448, 100, 228, 356, 484, 121, 249, 377, 505, 101, 229, 357, 485)(77, 205, 333, 461, 106, 234, 362, 490, 122, 250, 378, 506, 107, 235, 363, 491)(79, 207, 335, 463, 109, 237, 365, 493, 125, 253, 381, 509, 110, 238, 366, 494)(82, 210, 338, 466, 112, 240, 368, 496, 126, 254, 382, 510, 113, 241, 369, 497)(96, 224, 352, 480, 118, 246, 374, 502, 127, 255, 383, 511, 119, 247, 375, 503)(108, 236, 364, 492, 123, 251, 379, 507, 128, 256, 384, 512, 124, 252, 380, 508)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 163)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 179)(23, 136)(24, 138)(25, 169)(26, 187)(27, 189)(28, 186)(29, 192)(30, 185)(31, 193)(32, 190)(33, 184)(34, 178)(35, 142)(36, 188)(37, 194)(38, 191)(39, 183)(40, 177)(41, 153)(42, 205)(43, 207)(44, 204)(45, 210)(46, 203)(47, 211)(48, 208)(49, 168)(50, 162)(51, 150)(52, 206)(53, 212)(54, 209)(55, 167)(56, 161)(57, 158)(58, 156)(59, 154)(60, 164)(61, 155)(62, 160)(63, 166)(64, 157)(65, 159)(66, 165)(67, 215)(68, 218)(69, 213)(70, 219)(71, 220)(72, 214)(73, 216)(74, 217)(75, 174)(76, 172)(77, 170)(78, 180)(79, 171)(80, 176)(81, 182)(82, 173)(83, 175)(84, 181)(85, 197)(86, 200)(87, 195)(88, 201)(89, 202)(90, 196)(91, 198)(92, 199)(93, 236)(94, 234)(95, 237)(96, 233)(97, 235)(98, 238)(99, 247)(100, 245)(101, 248)(102, 246)(103, 243)(104, 249)(105, 224)(106, 222)(107, 225)(108, 221)(109, 223)(110, 226)(111, 252)(112, 250)(113, 253)(114, 251)(115, 231)(116, 254)(117, 228)(118, 230)(119, 227)(120, 229)(121, 232)(122, 240)(123, 242)(124, 239)(125, 241)(126, 244)(127, 256)(128, 255)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 420)(271, 410)(272, 389)(273, 425)(274, 428)(275, 430)(276, 427)(277, 391)(278, 436)(279, 426)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 435)(286, 395)(287, 434)(288, 440)(289, 437)(290, 431)(291, 429)(292, 398)(293, 433)(294, 439)(295, 438)(296, 432)(297, 401)(298, 407)(299, 404)(300, 402)(301, 419)(302, 403)(303, 418)(304, 424)(305, 421)(306, 415)(307, 413)(308, 406)(309, 417)(310, 423)(311, 422)(312, 416)(313, 463)(314, 461)(315, 460)(316, 480)(317, 459)(318, 481)(319, 478)(320, 477)(321, 482)(322, 479)(323, 485)(324, 471)(325, 470)(326, 476)(327, 483)(328, 486)(329, 484)(330, 472)(331, 445)(332, 443)(333, 442)(334, 492)(335, 441)(336, 493)(337, 490)(338, 489)(339, 494)(340, 491)(341, 497)(342, 453)(343, 452)(344, 458)(345, 495)(346, 498)(347, 496)(348, 454)(349, 448)(350, 447)(351, 450)(352, 444)(353, 446)(354, 449)(355, 455)(356, 457)(357, 451)(358, 456)(359, 500)(360, 499)(361, 466)(362, 465)(363, 468)(364, 462)(365, 464)(366, 467)(367, 473)(368, 475)(369, 469)(370, 474)(371, 488)(372, 487)(373, 508)(374, 509)(375, 506)(376, 507)(377, 511)(378, 503)(379, 504)(380, 501)(381, 502)(382, 512)(383, 505)(384, 510)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1852
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1856 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 11242>$ (small group id <256, 11242>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * Y3^2 * Y2 * Y3^-2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-2)^2, (Y3 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 44, 172)(23, 151, 46, 174)(25, 153, 45, 173)(27, 155, 51, 179)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 54, 182)(31, 159, 55, 183)(32, 160, 58, 186)(33, 161, 60, 188)(35, 163, 59, 187)(37, 165, 65, 193)(40, 168, 68, 196)(42, 170, 61, 189)(43, 171, 64, 192)(47, 175, 56, 184)(48, 176, 74, 202)(49, 177, 75, 203)(50, 178, 57, 185)(52, 180, 80, 208)(53, 181, 81, 209)(62, 190, 87, 215)(63, 191, 88, 216)(66, 194, 93, 221)(67, 195, 94, 222)(69, 197, 95, 223)(70, 198, 96, 224)(71, 199, 98, 226)(72, 200, 97, 225)(73, 201, 99, 227)(76, 204, 102, 230)(77, 205, 103, 231)(78, 206, 104, 232)(79, 207, 105, 233)(82, 210, 108, 236)(83, 211, 109, 237)(84, 212, 111, 239)(85, 213, 110, 238)(86, 214, 112, 240)(89, 217, 115, 243)(90, 218, 116, 244)(91, 219, 117, 245)(92, 220, 118, 246)(100, 228, 113, 241)(101, 229, 114, 242)(106, 234, 123, 251)(107, 235, 122, 250)(119, 247, 127, 255)(120, 248, 126, 254)(121, 249, 125, 253)(124, 252, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 303, 431)(282, 410, 306, 434)(284, 412, 309, 437)(285, 413, 308, 436)(288, 416, 313, 441)(289, 417, 312, 440)(290, 418, 317, 445)(292, 420, 320, 448)(294, 422, 323, 451)(295, 423, 322, 450)(297, 425, 325, 453)(300, 428, 329, 457)(301, 429, 328, 456)(302, 430, 332, 460)(304, 432, 334, 462)(305, 433, 333, 461)(307, 435, 327, 455)(310, 438, 326, 454)(311, 439, 338, 466)(314, 442, 342, 470)(315, 443, 341, 469)(316, 444, 345, 473)(318, 446, 347, 475)(319, 447, 346, 474)(321, 449, 340, 468)(324, 452, 339, 467)(330, 458, 357, 485)(331, 459, 356, 484)(335, 463, 353, 481)(336, 464, 360, 488)(337, 465, 359, 487)(343, 471, 370, 498)(344, 472, 369, 497)(348, 476, 366, 494)(349, 477, 373, 501)(350, 478, 372, 500)(351, 479, 377, 505)(352, 480, 376, 504)(354, 482, 375, 503)(355, 483, 379, 507)(358, 486, 378, 506)(361, 489, 380, 508)(362, 490, 367, 495)(363, 491, 365, 493)(364, 492, 381, 509)(368, 496, 383, 511)(371, 499, 382, 510)(374, 502, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 301)(23, 265)(24, 304)(25, 267)(26, 305)(27, 308)(28, 270)(29, 268)(30, 309)(31, 312)(32, 315)(33, 271)(34, 318)(35, 273)(36, 319)(37, 322)(38, 276)(39, 274)(40, 323)(41, 326)(42, 328)(43, 277)(44, 330)(45, 279)(46, 331)(47, 333)(48, 282)(49, 280)(50, 334)(51, 335)(52, 286)(53, 283)(54, 325)(55, 339)(56, 341)(57, 287)(58, 343)(59, 289)(60, 344)(61, 346)(62, 292)(63, 290)(64, 347)(65, 348)(66, 296)(67, 293)(68, 338)(69, 307)(70, 353)(71, 297)(72, 299)(73, 356)(74, 302)(75, 300)(76, 357)(77, 306)(78, 303)(79, 310)(80, 362)(81, 363)(82, 321)(83, 366)(84, 311)(85, 313)(86, 369)(87, 316)(88, 314)(89, 370)(90, 320)(91, 317)(92, 324)(93, 375)(94, 376)(95, 378)(96, 372)(97, 327)(98, 373)(99, 380)(100, 332)(101, 329)(102, 377)(103, 367)(104, 365)(105, 379)(106, 337)(107, 336)(108, 382)(109, 359)(110, 340)(111, 360)(112, 384)(113, 345)(114, 342)(115, 381)(116, 354)(117, 352)(118, 383)(119, 350)(120, 349)(121, 355)(122, 361)(123, 351)(124, 358)(125, 368)(126, 374)(127, 364)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1858
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1857 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 11082>$ (small group id <256, 11082>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (Y2 * Y3)^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3)^4, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 22, 150)(18, 146, 30, 158)(19, 147, 32, 160)(21, 149, 35, 163)(24, 152, 39, 167)(26, 154, 42, 170)(27, 155, 41, 169)(29, 157, 46, 174)(31, 159, 49, 177)(33, 161, 52, 180)(34, 162, 51, 179)(36, 164, 56, 184)(37, 165, 57, 185)(38, 166, 59, 187)(40, 168, 62, 190)(43, 171, 66, 194)(44, 172, 67, 195)(45, 173, 69, 197)(47, 175, 72, 200)(48, 176, 74, 202)(50, 178, 77, 205)(53, 181, 81, 209)(54, 182, 82, 210)(55, 183, 84, 212)(58, 186, 89, 217)(60, 188, 90, 218)(61, 189, 85, 213)(63, 191, 78, 206)(64, 192, 94, 222)(65, 193, 83, 211)(68, 196, 80, 208)(70, 198, 76, 204)(71, 199, 92, 220)(73, 201, 100, 228)(75, 203, 101, 229)(79, 207, 105, 233)(86, 214, 103, 231)(87, 215, 98, 226)(88, 216, 108, 236)(91, 219, 114, 242)(93, 221, 104, 232)(95, 223, 113, 241)(96, 224, 111, 239)(97, 225, 99, 227)(102, 230, 121, 249)(106, 234, 120, 248)(107, 235, 118, 246)(109, 237, 122, 250)(110, 238, 119, 247)(112, 240, 117, 245)(115, 243, 116, 244)(123, 251, 126, 254)(124, 252, 127, 255)(125, 253, 128, 256)(257, 385, 259, 387)(258, 386, 261, 389)(260, 388, 264, 392)(262, 390, 267, 395)(263, 391, 269, 397)(265, 393, 272, 400)(266, 394, 274, 402)(268, 396, 277, 405)(270, 398, 280, 408)(271, 399, 282, 410)(273, 401, 285, 413)(275, 403, 287, 415)(276, 404, 289, 417)(278, 406, 292, 420)(279, 407, 293, 421)(281, 409, 296, 424)(283, 411, 299, 427)(284, 412, 300, 428)(286, 414, 303, 431)(288, 416, 306, 434)(290, 418, 309, 437)(291, 419, 310, 438)(294, 422, 314, 442)(295, 423, 316, 444)(297, 425, 319, 447)(298, 426, 320, 448)(301, 429, 324, 452)(302, 430, 326, 454)(304, 432, 329, 457)(305, 433, 331, 459)(307, 435, 334, 462)(308, 436, 335, 463)(311, 439, 339, 467)(312, 440, 341, 469)(313, 441, 343, 471)(315, 443, 342, 470)(317, 445, 347, 475)(318, 446, 348, 476)(321, 449, 351, 479)(322, 450, 352, 480)(323, 451, 353, 481)(325, 453, 349, 477)(327, 455, 330, 458)(328, 456, 354, 482)(332, 460, 358, 486)(333, 461, 359, 487)(336, 464, 362, 490)(337, 465, 363, 491)(338, 466, 364, 492)(340, 468, 360, 488)(344, 472, 365, 493)(345, 473, 366, 494)(346, 474, 368, 496)(350, 478, 371, 499)(355, 483, 372, 500)(356, 484, 373, 501)(357, 485, 375, 503)(361, 489, 378, 506)(367, 495, 379, 507)(369, 497, 380, 508)(370, 498, 381, 509)(374, 502, 382, 510)(376, 504, 383, 511)(377, 505, 384, 512)
	L = (1, 260)(2, 262)(3, 264)(4, 257)(5, 267)(6, 258)(7, 270)(8, 259)(9, 273)(10, 275)(11, 261)(12, 278)(13, 280)(14, 263)(15, 283)(16, 285)(17, 265)(18, 287)(19, 266)(20, 290)(21, 292)(22, 268)(23, 294)(24, 269)(25, 297)(26, 299)(27, 271)(28, 301)(29, 272)(30, 304)(31, 274)(32, 307)(33, 309)(34, 276)(35, 311)(36, 277)(37, 314)(38, 279)(39, 317)(40, 319)(41, 281)(42, 321)(43, 282)(44, 324)(45, 284)(46, 327)(47, 329)(48, 286)(49, 332)(50, 334)(51, 288)(52, 336)(53, 289)(54, 339)(55, 291)(56, 342)(57, 344)(58, 293)(59, 341)(60, 347)(61, 295)(62, 349)(63, 296)(64, 351)(65, 298)(66, 338)(67, 337)(68, 300)(69, 348)(70, 330)(71, 302)(72, 355)(73, 303)(74, 326)(75, 358)(76, 305)(77, 360)(78, 306)(79, 362)(80, 308)(81, 323)(82, 322)(83, 310)(84, 359)(85, 315)(86, 312)(87, 365)(88, 313)(89, 367)(90, 369)(91, 316)(92, 325)(93, 318)(94, 370)(95, 320)(96, 364)(97, 363)(98, 372)(99, 328)(100, 374)(101, 376)(102, 331)(103, 340)(104, 333)(105, 377)(106, 335)(107, 353)(108, 352)(109, 343)(110, 379)(111, 345)(112, 380)(113, 346)(114, 350)(115, 381)(116, 354)(117, 382)(118, 356)(119, 383)(120, 357)(121, 361)(122, 384)(123, 366)(124, 368)(125, 371)(126, 373)(127, 375)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1859
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1858 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 11242>$ (small group id <256, 11242>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, Y1^4, (R * Y3)^2, Y1^-1 * Y3^-1 * Y2 * Y3 * Y1 * Y2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2, R * Y3^2 * Y2 * R * Y2, (Y3 * Y1^-1)^4, Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^2, (Y3^-1 * Y1 * Y2 * Y1)^2, Y3^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 37, 165, 57, 185, 26, 154)(14, 142, 40, 168, 59, 187, 35, 163)(16, 144, 34, 162, 60, 188, 44, 172)(18, 146, 46, 174, 83, 211, 47, 175)(19, 147, 24, 152, 62, 190, 50, 178)(21, 149, 54, 182, 63, 191, 52, 180)(22, 150, 56, 184, 98, 226, 58, 186)(28, 156, 69, 197, 48, 176, 66, 194)(29, 157, 65, 193, 49, 177, 72, 200)(32, 160, 77, 205, 38, 166, 75, 203)(36, 164, 82, 210, 99, 227, 67, 195)(39, 167, 79, 207, 100, 228, 74, 202)(41, 169, 88, 216, 115, 243, 87, 215)(43, 171, 86, 214, 116, 244, 78, 206)(45, 173, 73, 201, 53, 181, 76, 204)(51, 179, 91, 219, 103, 231, 68, 196)(55, 183, 93, 221, 105, 233, 97, 225)(70, 198, 110, 238, 94, 222, 109, 237)(71, 199, 108, 236, 95, 223, 104, 232)(80, 208, 114, 242, 84, 212, 102, 230)(81, 209, 101, 229, 85, 213, 113, 241)(89, 217, 120, 248, 123, 251, 111, 239)(90, 218, 112, 240, 124, 252, 119, 247)(92, 220, 107, 235, 96, 224, 106, 234)(117, 245, 125, 253, 121, 249, 127, 255)(118, 246, 128, 256, 122, 250, 126, 254)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 294, 422)(271, 399, 293, 421)(272, 400, 297, 425)(273, 401, 292, 420)(275, 403, 304, 432)(276, 404, 307, 435)(277, 405, 283, 411)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 321, 449)(285, 413, 326, 454)(286, 414, 323, 451)(287, 415, 330, 458)(288, 416, 314, 442)(289, 417, 329, 457)(291, 419, 336, 464)(295, 423, 340, 468)(296, 424, 342, 470)(298, 426, 335, 463)(299, 427, 345, 473)(300, 428, 312, 440)(301, 429, 339, 467)(302, 430, 328, 456)(303, 431, 319, 447)(305, 433, 348, 476)(306, 434, 338, 466)(308, 436, 350, 478)(309, 437, 320, 448)(310, 438, 352, 480)(311, 439, 324, 452)(316, 444, 357, 485)(317, 445, 355, 483)(318, 446, 359, 487)(322, 450, 361, 489)(325, 453, 364, 492)(327, 455, 367, 495)(331, 459, 369, 497)(332, 460, 354, 482)(333, 461, 371, 499)(334, 462, 356, 484)(337, 465, 373, 501)(341, 469, 375, 503)(343, 471, 377, 505)(344, 472, 368, 496)(346, 474, 363, 491)(347, 475, 360, 488)(349, 477, 376, 504)(351, 479, 378, 506)(353, 481, 374, 502)(358, 486, 379, 507)(362, 490, 381, 509)(365, 493, 383, 511)(366, 494, 380, 508)(370, 498, 384, 512)(372, 500, 382, 510)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 283)(13, 295)(14, 259)(15, 261)(16, 299)(17, 301)(18, 293)(19, 305)(20, 308)(21, 262)(22, 313)(23, 316)(24, 263)(25, 322)(26, 314)(27, 324)(28, 264)(29, 327)(30, 329)(31, 331)(32, 266)(33, 323)(34, 273)(35, 337)(36, 267)(37, 269)(38, 271)(39, 341)(40, 343)(41, 270)(42, 333)(43, 346)(44, 317)(45, 318)(46, 325)(47, 347)(48, 274)(49, 349)(50, 332)(51, 320)(52, 351)(53, 276)(54, 353)(55, 277)(56, 296)(57, 303)(58, 356)(59, 278)(60, 358)(61, 309)(62, 310)(63, 280)(64, 355)(65, 286)(66, 362)(67, 281)(68, 363)(69, 365)(70, 284)(71, 368)(72, 306)(73, 298)(74, 354)(75, 370)(76, 287)(77, 372)(78, 288)(79, 289)(80, 290)(81, 374)(82, 302)(83, 292)(84, 294)(85, 376)(86, 300)(87, 378)(88, 367)(89, 297)(90, 311)(91, 366)(92, 304)(93, 375)(94, 307)(95, 377)(96, 359)(97, 373)(98, 338)(99, 312)(100, 344)(101, 315)(102, 380)(103, 339)(104, 319)(105, 321)(106, 382)(107, 345)(108, 328)(109, 384)(110, 379)(111, 326)(112, 334)(113, 330)(114, 383)(115, 335)(116, 381)(117, 336)(118, 352)(119, 340)(120, 348)(121, 342)(122, 350)(123, 357)(124, 360)(125, 361)(126, 371)(127, 364)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1856
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1859 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 327>$ (small group id <128, 327>)
Aut   = $<256, 11082>$ (small group id <256, 11082>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3^-1)^2, (Y3^-1 * Y2)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1^-1)^2, (Y2 * Y3^-1 * Y1^-1)^2, Y3^2 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, (Y3 * Y1^-1)^4, Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3^8, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^2 * Y1^-1 * Y3^-2 * Y2, Y3^4 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 35, 163, 57, 185, 37, 165)(14, 142, 40, 168, 59, 187, 28, 156)(16, 144, 45, 173, 60, 188, 47, 175)(18, 146, 41, 169, 88, 216, 50, 178)(19, 147, 24, 152, 62, 190, 52, 180)(21, 149, 54, 182, 63, 191, 38, 166)(22, 150, 56, 184, 98, 226, 58, 186)(26, 154, 66, 194, 43, 171, 68, 196)(29, 157, 71, 199, 51, 179, 73, 201)(32, 160, 77, 205, 44, 172, 69, 197)(34, 162, 80, 208, 99, 227, 74, 202)(36, 164, 84, 212, 112, 240, 86, 214)(39, 167, 79, 207, 101, 229, 70, 198)(46, 174, 94, 222, 111, 239, 78, 206)(48, 176, 89, 217, 103, 231, 65, 193)(49, 177, 75, 203, 53, 181, 76, 204)(55, 183, 97, 225, 113, 241, 87, 215)(67, 195, 108, 236, 96, 224, 110, 238)(72, 200, 114, 242, 82, 210, 104, 232)(81, 209, 100, 228, 83, 211, 116, 244)(85, 213, 121, 249, 123, 251, 109, 237)(90, 218, 107, 235, 92, 220, 105, 233)(91, 219, 102, 230, 93, 221, 106, 234)(95, 223, 115, 243, 124, 252, 122, 250)(117, 245, 125, 253, 119, 247, 127, 255)(118, 246, 128, 256, 120, 248, 126, 254)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 285, 413)(269, 397, 294, 422)(271, 399, 299, 427)(272, 400, 297, 425)(273, 401, 304, 432)(275, 403, 296, 424)(276, 404, 295, 423)(277, 405, 292, 420)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 316, 444)(283, 411, 325, 453)(286, 414, 330, 458)(287, 415, 326, 454)(288, 416, 323, 451)(289, 417, 331, 459)(290, 418, 328, 456)(291, 419, 338, 466)(293, 421, 343, 471)(298, 426, 335, 463)(300, 428, 346, 474)(301, 429, 348, 476)(302, 430, 345, 473)(303, 431, 352, 480)(305, 433, 344, 472)(306, 434, 333, 461)(307, 435, 312, 440)(308, 436, 336, 464)(309, 437, 320, 448)(310, 438, 314, 442)(311, 439, 341, 469)(317, 445, 359, 487)(318, 446, 357, 485)(319, 447, 356, 484)(321, 449, 358, 486)(322, 450, 362, 490)(324, 452, 367, 495)(327, 455, 368, 496)(329, 457, 372, 500)(332, 460, 354, 482)(334, 462, 365, 493)(337, 465, 371, 499)(339, 467, 373, 501)(340, 468, 375, 503)(342, 470, 378, 506)(347, 475, 377, 505)(349, 477, 376, 504)(350, 478, 374, 502)(351, 479, 366, 494)(353, 481, 355, 483)(360, 488, 379, 507)(361, 489, 380, 508)(363, 491, 381, 509)(364, 492, 383, 511)(369, 497, 384, 512)(370, 498, 382, 510)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 284)(12, 292)(13, 295)(14, 259)(15, 261)(16, 302)(17, 305)(18, 299)(19, 307)(20, 294)(21, 262)(22, 313)(23, 316)(24, 263)(25, 315)(26, 323)(27, 326)(28, 264)(29, 328)(30, 331)(31, 325)(32, 266)(33, 330)(34, 267)(35, 269)(36, 341)(37, 314)(38, 338)(39, 320)(40, 274)(41, 270)(42, 333)(43, 346)(44, 271)(45, 273)(46, 351)(47, 317)(48, 348)(49, 318)(50, 335)(51, 353)(52, 332)(53, 276)(54, 343)(55, 277)(56, 296)(57, 356)(58, 357)(59, 278)(60, 358)(61, 309)(62, 310)(63, 280)(64, 359)(65, 281)(66, 283)(67, 365)(68, 306)(69, 362)(70, 354)(71, 286)(72, 371)(73, 308)(74, 368)(75, 298)(76, 287)(77, 367)(78, 288)(79, 289)(80, 372)(81, 290)(82, 373)(83, 291)(84, 293)(85, 366)(86, 355)(87, 375)(88, 304)(89, 297)(90, 377)(91, 300)(92, 376)(93, 301)(94, 303)(95, 311)(96, 374)(97, 378)(98, 336)(99, 312)(100, 379)(101, 344)(102, 380)(103, 352)(104, 319)(105, 321)(106, 381)(107, 322)(108, 324)(109, 337)(110, 345)(111, 383)(112, 384)(113, 327)(114, 329)(115, 334)(116, 382)(117, 350)(118, 339)(119, 349)(120, 340)(121, 342)(122, 347)(123, 361)(124, 360)(125, 370)(126, 363)(127, 369)(128, 364)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1857
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1860 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y2 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y1 * Y3)^4, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 155, 27, 144)(18, 164, 36, 146)(19, 152, 24, 147)(20, 167, 39, 148)(22, 171, 43, 150)(23, 173, 45, 151)(26, 178, 50, 154)(28, 181, 53, 156)(30, 185, 57, 158)(32, 183, 55, 160)(33, 176, 48, 161)(34, 175, 47, 162)(35, 182, 54, 163)(37, 186, 58, 165)(38, 184, 56, 166)(40, 177, 49, 168)(41, 174, 46, 169)(42, 180, 52, 170)(44, 179, 51, 172)(59, 201, 73, 187)(60, 197, 69, 188)(61, 202, 74, 189)(62, 203, 75, 190)(63, 205, 77, 191)(64, 196, 68, 192)(65, 198, 70, 193)(66, 199, 71, 194)(67, 209, 81, 195)(72, 213, 85, 200)(76, 217, 89, 204)(78, 219, 91, 206)(79, 218, 90, 207)(80, 222, 94, 208)(82, 215, 87, 210)(83, 214, 86, 211)(84, 226, 98, 212)(88, 230, 102, 216)(92, 234, 106, 220)(93, 235, 107, 221)(95, 233, 105, 223)(96, 239, 111, 224)(97, 231, 103, 225)(99, 229, 101, 227)(100, 243, 115, 228)(104, 246, 118, 232)(108, 250, 122, 236)(109, 249, 121, 237)(110, 248, 120, 238)(112, 247, 119, 240)(113, 245, 117, 241)(114, 244, 116, 242)(123, 256, 128, 251)(124, 255, 127, 252)(125, 254, 126, 253)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 33)(17, 34)(20, 40)(21, 41)(22, 44)(24, 47)(25, 48)(28, 54)(29, 55)(30, 58)(31, 57)(32, 59)(35, 61)(36, 62)(37, 63)(38, 53)(39, 52)(42, 60)(43, 45)(46, 68)(49, 70)(50, 71)(51, 72)(56, 69)(64, 81)(65, 82)(66, 83)(67, 84)(73, 89)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(85, 101)(86, 102)(87, 103)(88, 104)(97, 113)(98, 114)(99, 115)(100, 112)(105, 120)(106, 121)(107, 122)(108, 119)(109, 123)(110, 124)(111, 125)(116, 126)(117, 127)(118, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 163)(146, 165)(147, 166)(149, 170)(151, 174)(153, 177)(154, 179)(155, 180)(157, 184)(159, 175)(161, 173)(162, 188)(164, 181)(167, 178)(168, 192)(169, 193)(171, 194)(172, 195)(176, 197)(182, 201)(183, 202)(185, 203)(186, 204)(187, 205)(189, 206)(190, 207)(191, 208)(196, 213)(198, 214)(199, 215)(200, 216)(209, 225)(210, 226)(211, 227)(212, 228)(217, 233)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(229, 244)(230, 245)(231, 246)(232, 247)(241, 253)(242, 252)(243, 251)(248, 256)(249, 255)(250, 254)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1863
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1861 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 161, 33, 144)(18, 165, 37, 146)(19, 167, 39, 147)(20, 169, 41, 148)(22, 173, 45, 150)(23, 175, 47, 151)(24, 177, 49, 152)(26, 181, 53, 154)(27, 183, 55, 155)(28, 185, 57, 156)(30, 189, 61, 158)(32, 187, 59, 160)(34, 179, 51, 162)(35, 178, 50, 163)(36, 186, 58, 164)(38, 190, 62, 166)(40, 188, 60, 168)(42, 180, 52, 170)(43, 176, 48, 171)(44, 184, 56, 172)(46, 182, 54, 174)(63, 218, 90, 191)(64, 225, 97, 192)(65, 216, 88, 193)(66, 226, 98, 194)(67, 228, 100, 195)(68, 229, 101, 196)(69, 214, 86, 197)(70, 222, 94, 198)(71, 210, 82, 199)(72, 227, 99, 200)(73, 208, 80, 201)(74, 233, 105, 202)(75, 224, 96, 203)(76, 223, 95, 204)(77, 215, 87, 205)(78, 221, 93, 206)(79, 220, 92, 207)(81, 237, 109, 209)(83, 238, 110, 211)(84, 240, 112, 212)(85, 241, 113, 213)(89, 239, 111, 217)(91, 245, 117, 219)(102, 247, 119, 230)(103, 246, 118, 231)(104, 252, 124, 232)(106, 243, 115, 234)(107, 242, 114, 235)(108, 249, 121, 236)(116, 256, 128, 244)(120, 253, 125, 248)(122, 254, 126, 250)(123, 255, 127, 251)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 46)(24, 50)(25, 51)(28, 58)(29, 59)(30, 62)(31, 63)(32, 65)(33, 66)(36, 70)(37, 71)(38, 73)(39, 64)(40, 72)(41, 67)(44, 69)(45, 68)(47, 80)(48, 82)(49, 83)(52, 87)(53, 88)(54, 90)(55, 81)(56, 89)(57, 84)(60, 86)(61, 85)(74, 101)(75, 93)(76, 92)(77, 106)(78, 107)(79, 108)(91, 113)(94, 118)(95, 119)(96, 120)(97, 121)(98, 116)(99, 115)(100, 122)(102, 124)(103, 111)(104, 110)(105, 123)(109, 125)(112, 126)(114, 128)(117, 127)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 164)(146, 166)(147, 168)(149, 172)(151, 176)(153, 180)(154, 182)(155, 184)(157, 188)(159, 192)(161, 195)(162, 196)(163, 197)(165, 200)(167, 202)(169, 203)(170, 204)(171, 205)(173, 206)(174, 207)(175, 209)(177, 212)(178, 213)(179, 214)(181, 217)(183, 219)(185, 220)(186, 221)(187, 222)(189, 223)(190, 224)(191, 210)(193, 208)(194, 227)(198, 230)(199, 231)(201, 232)(211, 239)(215, 242)(216, 243)(218, 244)(225, 250)(226, 251)(228, 252)(229, 247)(233, 248)(234, 249)(235, 241)(236, 245)(237, 254)(238, 255)(240, 256)(246, 253)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1862
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1862 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y2 * Y1)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 173, 45, 157, 29, 175, 47, 153)(26, 176, 48, 158, 30, 177, 49, 154)(28, 179, 51, 187, 59, 174, 46, 156)(31, 181, 53, 162, 34, 183, 55, 159)(33, 185, 57, 188, 60, 182, 54, 161)(37, 189, 61, 168, 40, 191, 63, 165)(38, 192, 64, 169, 41, 193, 65, 166)(39, 194, 66, 184, 56, 190, 62, 167)(42, 196, 68, 172, 44, 198, 70, 170)(43, 199, 71, 178, 50, 197, 69, 171)(52, 200, 72, 217, 89, 208, 80, 180)(58, 195, 67, 218, 90, 214, 86, 186)(73, 233, 105, 204, 76, 227, 99, 201)(74, 234, 106, 205, 77, 235, 107, 202)(75, 226, 98, 209, 81, 221, 93, 203)(78, 236, 108, 207, 79, 237, 109, 206)(82, 222, 94, 241, 113, 219, 91, 210)(83, 238, 110, 213, 85, 232, 104, 211)(84, 231, 103, 215, 87, 229, 101, 212)(88, 230, 102, 242, 114, 228, 100, 216)(92, 243, 115, 223, 95, 244, 116, 220)(96, 245, 117, 225, 97, 246, 118, 224)(111, 252, 124, 253, 125, 248, 120, 239)(112, 249, 121, 254, 126, 247, 119, 240)(122, 255, 127, 251, 123, 256, 128, 250)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 54)(32, 56)(33, 58)(34, 57)(35, 59)(42, 69)(43, 72)(44, 71)(45, 73)(46, 75)(47, 76)(48, 77)(49, 74)(50, 80)(51, 81)(52, 82)(53, 78)(55, 79)(60, 90)(61, 91)(62, 93)(63, 94)(64, 95)(65, 92)(66, 98)(67, 99)(68, 96)(70, 97)(83, 101)(84, 102)(85, 103)(86, 105)(87, 100)(88, 112)(89, 113)(104, 120)(106, 119)(107, 121)(108, 122)(109, 123)(110, 124)(111, 116)(114, 126)(115, 125)(117, 127)(118, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 174)(155, 178)(156, 180)(157, 179)(164, 188)(165, 190)(167, 195)(168, 194)(173, 202)(175, 205)(176, 206)(177, 207)(181, 211)(182, 212)(183, 213)(184, 214)(185, 215)(186, 216)(187, 217)(189, 220)(191, 223)(192, 224)(193, 225)(196, 228)(197, 229)(198, 230)(199, 231)(200, 232)(201, 221)(203, 222)(204, 226)(208, 238)(209, 219)(210, 239)(218, 242)(227, 247)(233, 249)(234, 250)(235, 251)(236, 248)(237, 252)(240, 246)(241, 253)(243, 255)(244, 256)(245, 254)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1861
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1863 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-2)^2, Y1^-2 * Y3 * Y1^2 * Y3, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 172, 44, 157, 29, 170, 42, 153)(26, 169, 41, 158, 30, 166, 38, 154)(28, 175, 47, 181, 53, 173, 45, 156)(31, 168, 40, 162, 34, 165, 37, 159)(33, 179, 51, 182, 54, 177, 49, 161)(39, 184, 56, 178, 50, 183, 55, 167)(43, 187, 59, 174, 46, 186, 58, 171)(48, 188, 60, 197, 69, 190, 62, 176)(52, 185, 57, 198, 70, 194, 66, 180)(61, 202, 74, 191, 63, 203, 75, 189)(64, 205, 77, 213, 85, 207, 79, 192)(65, 199, 71, 195, 67, 200, 72, 193)(68, 209, 81, 214, 86, 211, 83, 196)(73, 215, 87, 210, 82, 216, 88, 201)(76, 218, 90, 206, 78, 219, 91, 204)(80, 222, 94, 229, 101, 220, 92, 208)(84, 226, 98, 230, 102, 217, 89, 212)(93, 235, 107, 223, 95, 234, 106, 221)(96, 239, 111, 244, 116, 237, 109, 224)(97, 232, 104, 227, 99, 231, 103, 225)(100, 243, 115, 245, 117, 241, 113, 228)(105, 247, 119, 242, 114, 246, 118, 233)(108, 250, 122, 238, 110, 249, 121, 236)(112, 248, 120, 254, 126, 252, 124, 240)(123, 256, 128, 253, 125, 255, 127, 251)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 60)(44, 59)(45, 61)(46, 62)(47, 63)(48, 64)(54, 70)(55, 71)(56, 72)(57, 73)(65, 81)(66, 82)(67, 83)(68, 84)(69, 85)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(86, 102)(87, 103)(88, 104)(89, 105)(97, 113)(98, 114)(99, 115)(100, 112)(101, 116)(106, 121)(107, 122)(108, 120)(109, 123)(110, 124)(111, 125)(117, 126)(118, 127)(119, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 173)(155, 174)(156, 176)(157, 175)(164, 182)(165, 183)(167, 185)(168, 184)(177, 193)(178, 194)(179, 195)(180, 196)(181, 197)(186, 202)(187, 203)(188, 204)(189, 205)(190, 206)(191, 207)(192, 208)(198, 214)(199, 215)(200, 216)(201, 217)(209, 225)(210, 226)(211, 227)(212, 228)(213, 229)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(230, 245)(231, 246)(232, 247)(233, 248)(241, 253)(242, 252)(243, 251)(244, 254)(249, 256)(250, 255)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1860
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1864 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3 * Y1)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y3 * Y1 * Y2 * Y1 * Y2)^2, (Y3 * Y1 * Y2)^4, (Y2 * Y1)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 52, 180)(27, 155, 54, 182)(29, 157, 57, 185)(31, 159, 60, 188)(33, 161, 63, 191)(34, 162, 58, 186)(35, 163, 64, 192)(37, 165, 66, 194)(39, 167, 67, 195)(41, 169, 56, 184)(42, 170, 55, 183)(44, 172, 48, 176)(45, 173, 69, 197)(47, 175, 72, 200)(49, 177, 73, 201)(51, 179, 75, 203)(53, 181, 76, 204)(59, 187, 78, 206)(61, 189, 81, 209)(62, 190, 83, 211)(65, 193, 84, 212)(68, 196, 86, 214)(70, 198, 89, 217)(71, 199, 91, 219)(74, 202, 92, 220)(77, 205, 94, 222)(79, 207, 97, 225)(80, 208, 99, 227)(82, 210, 100, 228)(85, 213, 102, 230)(87, 215, 105, 233)(88, 216, 107, 235)(90, 218, 108, 236)(93, 221, 109, 237)(95, 223, 112, 240)(96, 224, 114, 242)(98, 226, 115, 243)(101, 229, 116, 244)(103, 231, 119, 247)(104, 232, 121, 249)(106, 234, 122, 250)(110, 238, 123, 251)(111, 239, 124, 252)(113, 241, 125, 253)(117, 245, 126, 254)(118, 246, 127, 255)(120, 248, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 297)(278, 286)(279, 301)(280, 303)(282, 307)(283, 309)(284, 311)(288, 312)(290, 305)(291, 304)(292, 306)(294, 314)(296, 313)(298, 302)(299, 310)(300, 308)(315, 333)(316, 335)(317, 336)(318, 338)(319, 340)(320, 329)(321, 334)(322, 339)(323, 337)(324, 341)(325, 343)(326, 344)(327, 346)(328, 348)(330, 342)(331, 347)(332, 345)(349, 357)(350, 366)(351, 367)(352, 369)(353, 371)(354, 365)(355, 370)(356, 368)(358, 373)(359, 374)(360, 376)(361, 378)(362, 372)(363, 377)(364, 375)(379, 382)(380, 383)(381, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 420)(405, 426)(406, 428)(408, 432)(409, 433)(412, 434)(413, 440)(414, 442)(415, 443)(416, 445)(417, 446)(421, 449)(422, 451)(423, 444)(424, 450)(425, 447)(427, 448)(429, 452)(430, 454)(431, 455)(435, 458)(436, 460)(437, 453)(438, 459)(439, 456)(441, 457)(461, 477)(462, 479)(463, 480)(464, 482)(465, 484)(466, 478)(467, 483)(468, 481)(469, 485)(470, 487)(471, 488)(472, 490)(473, 492)(474, 486)(475, 491)(476, 489)(493, 504)(494, 502)(495, 501)(496, 509)(497, 500)(498, 508)(499, 507)(503, 512)(505, 511)(506, 510)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1870
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1865 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y2 * Y3 * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 44, 172)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 54, 182)(27, 155, 56, 184)(29, 157, 60, 188)(31, 159, 64, 192)(33, 161, 67, 195)(34, 162, 68, 196)(35, 163, 69, 197)(37, 165, 72, 200)(39, 167, 74, 202)(41, 169, 75, 203)(42, 170, 76, 204)(43, 171, 77, 205)(45, 173, 78, 206)(46, 174, 79, 207)(47, 175, 81, 209)(49, 177, 84, 212)(50, 178, 85, 213)(51, 179, 86, 214)(53, 181, 89, 217)(55, 183, 91, 219)(57, 185, 92, 220)(58, 186, 93, 221)(59, 187, 94, 222)(61, 189, 95, 223)(62, 190, 96, 224)(63, 191, 98, 226)(65, 193, 90, 218)(66, 194, 101, 229)(70, 198, 103, 231)(71, 199, 104, 232)(73, 201, 82, 210)(80, 208, 110, 238)(83, 211, 113, 241)(87, 215, 115, 243)(88, 216, 116, 244)(97, 225, 118, 246)(99, 227, 122, 250)(100, 228, 114, 242)(102, 230, 112, 240)(105, 233, 123, 251)(106, 234, 109, 237)(107, 235, 124, 252)(108, 236, 121, 249)(111, 239, 126, 254)(117, 245, 127, 255)(119, 247, 128, 256)(120, 248, 125, 253)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 297)(278, 301)(279, 303)(280, 305)(282, 309)(283, 311)(284, 313)(286, 317)(288, 315)(290, 307)(291, 306)(292, 314)(294, 318)(296, 316)(298, 308)(299, 304)(300, 312)(302, 310)(319, 353)(320, 348)(321, 355)(322, 356)(323, 340)(324, 358)(325, 342)(326, 350)(327, 354)(328, 357)(329, 346)(330, 347)(331, 337)(332, 362)(333, 343)(334, 361)(335, 363)(336, 365)(338, 367)(339, 368)(341, 370)(344, 366)(345, 369)(349, 374)(351, 373)(352, 375)(359, 376)(360, 372)(364, 371)(377, 381)(378, 383)(379, 382)(380, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 426)(405, 427)(406, 430)(408, 434)(409, 435)(412, 442)(413, 443)(414, 446)(415, 447)(416, 449)(417, 450)(420, 454)(421, 455)(422, 457)(423, 448)(424, 456)(425, 451)(428, 453)(429, 452)(431, 464)(432, 466)(433, 467)(436, 471)(437, 472)(438, 474)(439, 465)(440, 473)(441, 468)(444, 470)(445, 469)(458, 486)(459, 489)(460, 491)(461, 488)(462, 492)(463, 482)(475, 498)(476, 501)(477, 503)(478, 500)(479, 504)(480, 494)(481, 505)(483, 499)(484, 502)(485, 506)(487, 495)(490, 496)(493, 509)(497, 510)(507, 512)(508, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1871
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1866 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 49, 177, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 57, 185, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 46, 174, 65, 193, 47, 175)(28, 156, 51, 179, 30, 158, 52, 180)(35, 163, 54, 182, 73, 201, 55, 183)(38, 166, 59, 187, 40, 168, 60, 188)(45, 173, 62, 190, 81, 209, 63, 191)(48, 176, 67, 195, 50, 178, 68, 196)(53, 181, 70, 198, 89, 217, 71, 199)(56, 184, 75, 203, 58, 186, 76, 204)(61, 189, 78, 206, 97, 225, 79, 207)(64, 192, 83, 211, 66, 194, 84, 212)(69, 197, 86, 214, 105, 233, 87, 215)(72, 200, 91, 219, 74, 202, 92, 220)(77, 205, 94, 222, 112, 240, 95, 223)(80, 208, 99, 227, 82, 210, 100, 228)(85, 213, 102, 230, 119, 247, 103, 231)(88, 216, 107, 235, 90, 218, 108, 236)(93, 221, 109, 237, 123, 251, 110, 238)(96, 224, 114, 242, 98, 226, 115, 243)(101, 229, 116, 244, 126, 254, 117, 245)(104, 232, 121, 249, 106, 234, 122, 250)(111, 239, 124, 252, 113, 241, 125, 253)(118, 246, 127, 255, 120, 248, 128, 256)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 301)(282, 304)(283, 306)(284, 303)(285, 305)(286, 302)(287, 308)(288, 307)(289, 299)(290, 300)(291, 309)(292, 312)(293, 314)(294, 311)(295, 313)(296, 310)(297, 316)(298, 315)(317, 333)(318, 336)(319, 338)(320, 335)(321, 337)(322, 334)(323, 340)(324, 339)(325, 341)(326, 344)(327, 346)(328, 343)(329, 345)(330, 342)(331, 348)(332, 347)(349, 357)(350, 367)(351, 369)(352, 366)(353, 368)(354, 365)(355, 371)(356, 370)(358, 374)(359, 376)(360, 373)(361, 375)(362, 372)(363, 378)(364, 377)(379, 382)(380, 383)(381, 384)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 428)(416, 427)(417, 426)(418, 425)(429, 445)(430, 448)(431, 450)(432, 447)(433, 449)(434, 446)(435, 452)(436, 451)(437, 453)(438, 456)(439, 458)(440, 455)(441, 457)(442, 454)(443, 460)(444, 459)(461, 477)(462, 480)(463, 482)(464, 479)(465, 481)(466, 478)(467, 484)(468, 483)(469, 485)(470, 488)(471, 490)(472, 487)(473, 489)(474, 486)(475, 492)(476, 491)(493, 504)(494, 502)(495, 501)(496, 507)(497, 500)(498, 509)(499, 508)(503, 510)(505, 512)(506, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1868
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1867 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 49, 177, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 63, 191, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 46, 174, 77, 205, 47, 175)(28, 156, 51, 179, 30, 158, 52, 180)(35, 163, 60, 188, 93, 221, 61, 189)(38, 166, 65, 193, 40, 168, 66, 194)(45, 173, 74, 202, 108, 236, 75, 203)(48, 176, 79, 207, 50, 178, 80, 208)(53, 181, 83, 211, 55, 183, 84, 212)(54, 182, 85, 213, 56, 184, 86, 214)(57, 185, 87, 215, 58, 186, 88, 216)(59, 187, 90, 218, 116, 244, 91, 219)(62, 190, 95, 223, 64, 192, 96, 224)(67, 195, 99, 227, 69, 197, 100, 228)(68, 196, 101, 229, 70, 198, 102, 230)(71, 199, 103, 231, 72, 200, 104, 232)(73, 201, 106, 234, 122, 250, 107, 235)(76, 204, 97, 225, 78, 206, 98, 226)(81, 209, 94, 222, 82, 210, 92, 220)(89, 217, 114, 242, 126, 254, 115, 243)(105, 233, 117, 245, 127, 255, 118, 246)(109, 237, 123, 251, 110, 238, 113, 241)(111, 239, 124, 252, 112, 240, 121, 249)(119, 247, 128, 256, 120, 248, 125, 253)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 301)(282, 304)(283, 306)(284, 303)(285, 305)(286, 302)(287, 309)(288, 311)(289, 312)(290, 310)(291, 315)(292, 318)(293, 320)(294, 317)(295, 319)(296, 316)(297, 323)(298, 325)(299, 326)(300, 324)(307, 327)(308, 328)(313, 321)(314, 322)(329, 361)(330, 356)(331, 355)(332, 363)(333, 364)(334, 362)(335, 351)(336, 352)(337, 353)(338, 354)(339, 347)(340, 346)(341, 366)(342, 365)(343, 367)(344, 368)(345, 369)(348, 371)(349, 372)(350, 370)(357, 374)(358, 373)(359, 375)(360, 376)(377, 381)(378, 383)(379, 382)(380, 384)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 438)(416, 440)(417, 441)(418, 442)(425, 452)(426, 454)(427, 455)(428, 456)(429, 457)(430, 460)(431, 462)(432, 459)(433, 461)(434, 458)(435, 465)(436, 466)(437, 463)(439, 464)(443, 473)(444, 476)(445, 478)(446, 475)(447, 477)(448, 474)(449, 481)(450, 482)(451, 479)(453, 480)(467, 493)(468, 494)(469, 495)(470, 496)(471, 491)(472, 490)(483, 501)(484, 502)(485, 503)(486, 504)(487, 499)(488, 498)(489, 505)(492, 506)(497, 509)(500, 510)(507, 512)(508, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1869
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1868 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3 * Y1)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y3 * Y1 * Y2 * Y1 * Y2)^2, (Y3 * Y1 * Y2)^4, (Y2 * Y1)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 43, 171, 299, 427)(23, 151, 279, 407, 46, 174, 302, 430)(25, 153, 281, 409, 50, 178, 306, 434)(26, 154, 282, 410, 52, 180, 308, 436)(27, 155, 283, 411, 54, 182, 310, 438)(29, 157, 285, 413, 57, 185, 313, 441)(31, 159, 287, 415, 60, 188, 316, 444)(33, 161, 289, 417, 63, 191, 319, 447)(34, 162, 290, 418, 58, 186, 314, 442)(35, 163, 291, 419, 64, 192, 320, 448)(37, 165, 293, 421, 66, 194, 322, 450)(39, 167, 295, 423, 67, 195, 323, 451)(41, 169, 297, 425, 56, 184, 312, 440)(42, 170, 298, 426, 55, 183, 311, 439)(44, 172, 300, 428, 48, 176, 304, 432)(45, 173, 301, 429, 69, 197, 325, 453)(47, 175, 303, 431, 72, 200, 328, 456)(49, 177, 305, 433, 73, 201, 329, 457)(51, 179, 307, 435, 75, 203, 331, 459)(53, 181, 309, 437, 76, 204, 332, 460)(59, 187, 315, 443, 78, 206, 334, 462)(61, 189, 317, 445, 81, 209, 337, 465)(62, 190, 318, 446, 83, 211, 339, 467)(65, 193, 321, 449, 84, 212, 340, 468)(68, 196, 324, 452, 86, 214, 342, 470)(70, 198, 326, 454, 89, 217, 345, 473)(71, 199, 327, 455, 91, 219, 347, 475)(74, 202, 330, 458, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478)(79, 207, 335, 463, 97, 225, 353, 481)(80, 208, 336, 464, 99, 227, 355, 483)(82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486)(87, 215, 343, 471, 105, 233, 361, 489)(88, 216, 344, 472, 107, 235, 363, 491)(90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 109, 237, 365, 493)(95, 223, 351, 479, 112, 240, 368, 496)(96, 224, 352, 480, 114, 242, 370, 498)(98, 226, 354, 482, 115, 243, 371, 499)(101, 229, 357, 485, 116, 244, 372, 500)(103, 231, 359, 487, 119, 247, 375, 503)(104, 232, 360, 488, 121, 249, 377, 505)(106, 234, 362, 490, 122, 250, 378, 506)(110, 238, 366, 494, 123, 251, 379, 507)(111, 239, 367, 495, 124, 252, 380, 508)(113, 241, 369, 497, 125, 253, 381, 509)(117, 245, 373, 501, 126, 254, 382, 510)(118, 246, 374, 502, 127, 255, 383, 511)(120, 248, 376, 504, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 158)(23, 173)(24, 175)(25, 140)(26, 179)(27, 181)(28, 183)(29, 142)(30, 150)(31, 143)(32, 184)(33, 144)(34, 177)(35, 176)(36, 178)(37, 146)(38, 186)(39, 147)(40, 185)(41, 148)(42, 174)(43, 182)(44, 180)(45, 151)(46, 170)(47, 152)(48, 163)(49, 162)(50, 164)(51, 154)(52, 172)(53, 155)(54, 171)(55, 156)(56, 160)(57, 168)(58, 166)(59, 205)(60, 207)(61, 208)(62, 210)(63, 212)(64, 201)(65, 206)(66, 211)(67, 209)(68, 213)(69, 215)(70, 216)(71, 218)(72, 220)(73, 192)(74, 214)(75, 219)(76, 217)(77, 187)(78, 193)(79, 188)(80, 189)(81, 195)(82, 190)(83, 194)(84, 191)(85, 196)(86, 202)(87, 197)(88, 198)(89, 204)(90, 199)(91, 203)(92, 200)(93, 229)(94, 238)(95, 239)(96, 241)(97, 243)(98, 237)(99, 242)(100, 240)(101, 221)(102, 245)(103, 246)(104, 248)(105, 250)(106, 244)(107, 249)(108, 247)(109, 226)(110, 222)(111, 223)(112, 228)(113, 224)(114, 227)(115, 225)(116, 234)(117, 230)(118, 231)(119, 236)(120, 232)(121, 235)(122, 233)(123, 254)(124, 255)(125, 256)(126, 251)(127, 252)(128, 253)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 420)(277, 426)(278, 428)(279, 395)(280, 432)(281, 433)(282, 396)(283, 397)(284, 434)(285, 440)(286, 442)(287, 443)(288, 445)(289, 446)(290, 400)(291, 401)(292, 404)(293, 449)(294, 451)(295, 444)(296, 450)(297, 447)(298, 405)(299, 448)(300, 406)(301, 452)(302, 454)(303, 455)(304, 408)(305, 409)(306, 412)(307, 458)(308, 460)(309, 453)(310, 459)(311, 456)(312, 413)(313, 457)(314, 414)(315, 415)(316, 423)(317, 416)(318, 417)(319, 425)(320, 427)(321, 421)(322, 424)(323, 422)(324, 429)(325, 437)(326, 430)(327, 431)(328, 439)(329, 441)(330, 435)(331, 438)(332, 436)(333, 477)(334, 479)(335, 480)(336, 482)(337, 484)(338, 478)(339, 483)(340, 481)(341, 485)(342, 487)(343, 488)(344, 490)(345, 492)(346, 486)(347, 491)(348, 489)(349, 461)(350, 466)(351, 462)(352, 463)(353, 468)(354, 464)(355, 467)(356, 465)(357, 469)(358, 474)(359, 470)(360, 471)(361, 476)(362, 472)(363, 475)(364, 473)(365, 504)(366, 502)(367, 501)(368, 509)(369, 500)(370, 508)(371, 507)(372, 497)(373, 495)(374, 494)(375, 512)(376, 493)(377, 511)(378, 510)(379, 499)(380, 498)(381, 496)(382, 506)(383, 505)(384, 503)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1866
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1869 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y2 * Y3 * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y3 * Y1 * Y3 * Y1)^2, (Y2 * Y1)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 44, 172, 300, 428)(23, 151, 279, 407, 48, 176, 304, 432)(25, 153, 281, 409, 52, 180, 308, 436)(26, 154, 282, 410, 54, 182, 310, 438)(27, 155, 283, 411, 56, 184, 312, 440)(29, 157, 285, 413, 60, 188, 316, 444)(31, 159, 287, 415, 64, 192, 320, 448)(33, 161, 289, 417, 67, 195, 323, 451)(34, 162, 290, 418, 68, 196, 324, 452)(35, 163, 291, 419, 69, 197, 325, 453)(37, 165, 293, 421, 72, 200, 328, 456)(39, 167, 295, 423, 74, 202, 330, 458)(41, 169, 297, 425, 75, 203, 331, 459)(42, 170, 298, 426, 76, 204, 332, 460)(43, 171, 299, 427, 77, 205, 333, 461)(45, 173, 301, 429, 78, 206, 334, 462)(46, 174, 302, 430, 79, 207, 335, 463)(47, 175, 303, 431, 81, 209, 337, 465)(49, 177, 305, 433, 84, 212, 340, 468)(50, 178, 306, 434, 85, 213, 341, 469)(51, 179, 307, 435, 86, 214, 342, 470)(53, 181, 309, 437, 89, 217, 345, 473)(55, 183, 311, 439, 91, 219, 347, 475)(57, 185, 313, 441, 92, 220, 348, 476)(58, 186, 314, 442, 93, 221, 349, 477)(59, 187, 315, 443, 94, 222, 350, 478)(61, 189, 317, 445, 95, 223, 351, 479)(62, 190, 318, 446, 96, 224, 352, 480)(63, 191, 319, 447, 98, 226, 354, 482)(65, 193, 321, 449, 90, 218, 346, 474)(66, 194, 322, 450, 101, 229, 357, 485)(70, 198, 326, 454, 103, 231, 359, 487)(71, 199, 327, 455, 104, 232, 360, 488)(73, 201, 329, 457, 82, 210, 338, 466)(80, 208, 336, 464, 110, 238, 366, 494)(83, 211, 339, 467, 113, 241, 369, 497)(87, 215, 343, 471, 115, 243, 371, 499)(88, 216, 344, 472, 116, 244, 372, 500)(97, 225, 353, 481, 118, 246, 374, 502)(99, 227, 355, 483, 122, 250, 378, 506)(100, 228, 356, 484, 114, 242, 370, 498)(102, 230, 358, 486, 112, 240, 368, 496)(105, 233, 361, 489, 123, 251, 379, 507)(106, 234, 362, 490, 109, 237, 365, 493)(107, 235, 363, 491, 124, 252, 380, 508)(108, 236, 364, 492, 121, 249, 377, 505)(111, 239, 367, 495, 126, 254, 382, 510)(117, 245, 373, 501, 127, 255, 383, 511)(119, 247, 375, 503, 128, 256, 384, 512)(120, 248, 376, 504, 125, 253, 381, 509)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 175)(24, 177)(25, 140)(26, 181)(27, 183)(28, 185)(29, 142)(30, 189)(31, 143)(32, 187)(33, 144)(34, 179)(35, 178)(36, 186)(37, 146)(38, 190)(39, 147)(40, 188)(41, 148)(42, 180)(43, 176)(44, 184)(45, 150)(46, 182)(47, 151)(48, 171)(49, 152)(50, 163)(51, 162)(52, 170)(53, 154)(54, 174)(55, 155)(56, 172)(57, 156)(58, 164)(59, 160)(60, 168)(61, 158)(62, 166)(63, 225)(64, 220)(65, 227)(66, 228)(67, 212)(68, 230)(69, 214)(70, 222)(71, 226)(72, 229)(73, 218)(74, 219)(75, 209)(76, 234)(77, 215)(78, 233)(79, 235)(80, 237)(81, 203)(82, 239)(83, 240)(84, 195)(85, 242)(86, 197)(87, 205)(88, 238)(89, 241)(90, 201)(91, 202)(92, 192)(93, 246)(94, 198)(95, 245)(96, 247)(97, 191)(98, 199)(99, 193)(100, 194)(101, 200)(102, 196)(103, 248)(104, 244)(105, 206)(106, 204)(107, 207)(108, 243)(109, 208)(110, 216)(111, 210)(112, 211)(113, 217)(114, 213)(115, 236)(116, 232)(117, 223)(118, 221)(119, 224)(120, 231)(121, 253)(122, 255)(123, 254)(124, 256)(125, 249)(126, 251)(127, 250)(128, 252)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 426)(277, 427)(278, 430)(279, 395)(280, 434)(281, 435)(282, 396)(283, 397)(284, 442)(285, 443)(286, 446)(287, 447)(288, 449)(289, 450)(290, 400)(291, 401)(292, 454)(293, 455)(294, 457)(295, 448)(296, 456)(297, 451)(298, 404)(299, 405)(300, 453)(301, 452)(302, 406)(303, 464)(304, 466)(305, 467)(306, 408)(307, 409)(308, 471)(309, 472)(310, 474)(311, 465)(312, 473)(313, 468)(314, 412)(315, 413)(316, 470)(317, 469)(318, 414)(319, 415)(320, 423)(321, 416)(322, 417)(323, 425)(324, 429)(325, 428)(326, 420)(327, 421)(328, 424)(329, 422)(330, 486)(331, 489)(332, 491)(333, 488)(334, 492)(335, 482)(336, 431)(337, 439)(338, 432)(339, 433)(340, 441)(341, 445)(342, 444)(343, 436)(344, 437)(345, 440)(346, 438)(347, 498)(348, 501)(349, 503)(350, 500)(351, 504)(352, 494)(353, 505)(354, 463)(355, 499)(356, 502)(357, 506)(358, 458)(359, 495)(360, 461)(361, 459)(362, 496)(363, 460)(364, 462)(365, 509)(366, 480)(367, 487)(368, 490)(369, 510)(370, 475)(371, 483)(372, 478)(373, 476)(374, 484)(375, 477)(376, 479)(377, 481)(378, 485)(379, 512)(380, 511)(381, 493)(382, 497)(383, 508)(384, 507)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1867
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1870 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5090>$ (small group id <256, 5090>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 49, 177, 305, 433, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 57, 185, 313, 441, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 46, 174, 302, 430, 65, 193, 321, 449, 47, 175, 303, 431)(28, 156, 284, 412, 51, 179, 307, 435, 30, 158, 286, 414, 52, 180, 308, 436)(35, 163, 291, 419, 54, 182, 310, 438, 73, 201, 329, 457, 55, 183, 311, 439)(38, 166, 294, 422, 59, 187, 315, 443, 40, 168, 296, 424, 60, 188, 316, 444)(45, 173, 301, 429, 62, 190, 318, 446, 81, 209, 337, 465, 63, 191, 319, 447)(48, 176, 304, 432, 67, 195, 323, 451, 50, 178, 306, 434, 68, 196, 324, 452)(53, 181, 309, 437, 70, 198, 326, 454, 89, 217, 345, 473, 71, 199, 327, 455)(56, 184, 312, 440, 75, 203, 331, 459, 58, 186, 314, 442, 76, 204, 332, 460)(61, 189, 317, 445, 78, 206, 334, 462, 97, 225, 353, 481, 79, 207, 335, 463)(64, 192, 320, 448, 83, 211, 339, 467, 66, 194, 322, 450, 84, 212, 340, 468)(69, 197, 325, 453, 86, 214, 342, 470, 105, 233, 361, 489, 87, 215, 343, 471)(72, 200, 328, 456, 91, 219, 347, 475, 74, 202, 330, 458, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478, 112, 240, 368, 496, 95, 223, 351, 479)(80, 208, 336, 464, 99, 227, 355, 483, 82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486, 119, 247, 375, 503, 103, 231, 359, 487)(88, 216, 344, 472, 107, 235, 363, 491, 90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 109, 237, 365, 493, 123, 251, 379, 507, 110, 238, 366, 494)(96, 224, 352, 480, 114, 242, 370, 498, 98, 226, 354, 482, 115, 243, 371, 499)(101, 229, 357, 485, 116, 244, 372, 500, 126, 254, 382, 510, 117, 245, 373, 501)(104, 232, 360, 488, 121, 249, 377, 505, 106, 234, 362, 490, 122, 250, 378, 506)(111, 239, 367, 495, 124, 252, 380, 508, 113, 241, 369, 497, 125, 253, 381, 509)(118, 246, 374, 502, 127, 255, 383, 511, 120, 248, 376, 504, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 173)(26, 176)(27, 178)(28, 175)(29, 177)(30, 174)(31, 180)(32, 179)(33, 171)(34, 172)(35, 181)(36, 184)(37, 186)(38, 183)(39, 185)(40, 182)(41, 188)(42, 187)(43, 161)(44, 162)(45, 153)(46, 158)(47, 156)(48, 154)(49, 157)(50, 155)(51, 160)(52, 159)(53, 163)(54, 168)(55, 166)(56, 164)(57, 167)(58, 165)(59, 170)(60, 169)(61, 205)(62, 208)(63, 210)(64, 207)(65, 209)(66, 206)(67, 212)(68, 211)(69, 213)(70, 216)(71, 218)(72, 215)(73, 217)(74, 214)(75, 220)(76, 219)(77, 189)(78, 194)(79, 192)(80, 190)(81, 193)(82, 191)(83, 196)(84, 195)(85, 197)(86, 202)(87, 200)(88, 198)(89, 201)(90, 199)(91, 204)(92, 203)(93, 229)(94, 239)(95, 241)(96, 238)(97, 240)(98, 237)(99, 243)(100, 242)(101, 221)(102, 246)(103, 248)(104, 245)(105, 247)(106, 244)(107, 250)(108, 249)(109, 226)(110, 224)(111, 222)(112, 225)(113, 223)(114, 228)(115, 227)(116, 234)(117, 232)(118, 230)(119, 233)(120, 231)(121, 236)(122, 235)(123, 254)(124, 255)(125, 256)(126, 251)(127, 252)(128, 253)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 428)(288, 427)(289, 426)(290, 425)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 418)(298, 417)(299, 416)(300, 415)(301, 445)(302, 448)(303, 450)(304, 447)(305, 449)(306, 446)(307, 452)(308, 451)(309, 453)(310, 456)(311, 458)(312, 455)(313, 457)(314, 454)(315, 460)(316, 459)(317, 429)(318, 434)(319, 432)(320, 430)(321, 433)(322, 431)(323, 436)(324, 435)(325, 437)(326, 442)(327, 440)(328, 438)(329, 441)(330, 439)(331, 444)(332, 443)(333, 477)(334, 480)(335, 482)(336, 479)(337, 481)(338, 478)(339, 484)(340, 483)(341, 485)(342, 488)(343, 490)(344, 487)(345, 489)(346, 486)(347, 492)(348, 491)(349, 461)(350, 466)(351, 464)(352, 462)(353, 465)(354, 463)(355, 468)(356, 467)(357, 469)(358, 474)(359, 472)(360, 470)(361, 473)(362, 471)(363, 476)(364, 475)(365, 504)(366, 502)(367, 501)(368, 507)(369, 500)(370, 509)(371, 508)(372, 497)(373, 495)(374, 494)(375, 510)(376, 493)(377, 512)(378, 511)(379, 496)(380, 499)(381, 498)(382, 503)(383, 506)(384, 505)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1864
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1871 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 5096>$ (small group id <256, 5096>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, Y3^4, R * Y1 * R * Y2, (R * Y3)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, Y2 * Y3^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 49, 177, 305, 433, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 63, 191, 319, 447, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 46, 174, 302, 430, 77, 205, 333, 461, 47, 175, 303, 431)(28, 156, 284, 412, 51, 179, 307, 435, 30, 158, 286, 414, 52, 180, 308, 436)(35, 163, 291, 419, 60, 188, 316, 444, 93, 221, 349, 477, 61, 189, 317, 445)(38, 166, 294, 422, 65, 193, 321, 449, 40, 168, 296, 424, 66, 194, 322, 450)(45, 173, 301, 429, 74, 202, 330, 458, 108, 236, 364, 492, 75, 203, 331, 459)(48, 176, 304, 432, 79, 207, 335, 463, 50, 178, 306, 434, 80, 208, 336, 464)(53, 181, 309, 437, 83, 211, 339, 467, 55, 183, 311, 439, 84, 212, 340, 468)(54, 182, 310, 438, 85, 213, 341, 469, 56, 184, 312, 440, 86, 214, 342, 470)(57, 185, 313, 441, 87, 215, 343, 471, 58, 186, 314, 442, 88, 216, 344, 472)(59, 187, 315, 443, 90, 218, 346, 474, 116, 244, 372, 500, 91, 219, 347, 475)(62, 190, 318, 446, 95, 223, 351, 479, 64, 192, 320, 448, 96, 224, 352, 480)(67, 195, 323, 451, 99, 227, 355, 483, 69, 197, 325, 453, 100, 228, 356, 484)(68, 196, 324, 452, 101, 229, 357, 485, 70, 198, 326, 454, 102, 230, 358, 486)(71, 199, 327, 455, 103, 231, 359, 487, 72, 200, 328, 456, 104, 232, 360, 488)(73, 201, 329, 457, 106, 234, 362, 490, 122, 250, 378, 506, 107, 235, 363, 491)(76, 204, 332, 460, 97, 225, 353, 481, 78, 206, 334, 462, 98, 226, 354, 482)(81, 209, 337, 465, 94, 222, 350, 478, 82, 210, 338, 466, 92, 220, 348, 476)(89, 217, 345, 473, 114, 242, 370, 498, 126, 254, 382, 510, 115, 243, 371, 499)(105, 233, 361, 489, 117, 245, 373, 501, 127, 255, 383, 511, 118, 246, 374, 502)(109, 237, 365, 493, 123, 251, 379, 507, 110, 238, 366, 494, 113, 241, 369, 497)(111, 239, 367, 495, 124, 252, 380, 508, 112, 240, 368, 496, 121, 249, 377, 505)(119, 247, 375, 503, 128, 256, 384, 512, 120, 248, 376, 504, 125, 253, 381, 509)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 173)(26, 176)(27, 178)(28, 175)(29, 177)(30, 174)(31, 181)(32, 183)(33, 184)(34, 182)(35, 187)(36, 190)(37, 192)(38, 189)(39, 191)(40, 188)(41, 195)(42, 197)(43, 198)(44, 196)(45, 153)(46, 158)(47, 156)(48, 154)(49, 157)(50, 155)(51, 199)(52, 200)(53, 159)(54, 162)(55, 160)(56, 161)(57, 193)(58, 194)(59, 163)(60, 168)(61, 166)(62, 164)(63, 167)(64, 165)(65, 185)(66, 186)(67, 169)(68, 172)(69, 170)(70, 171)(71, 179)(72, 180)(73, 233)(74, 228)(75, 227)(76, 235)(77, 236)(78, 234)(79, 223)(80, 224)(81, 225)(82, 226)(83, 219)(84, 218)(85, 238)(86, 237)(87, 239)(88, 240)(89, 241)(90, 212)(91, 211)(92, 243)(93, 244)(94, 242)(95, 207)(96, 208)(97, 209)(98, 210)(99, 203)(100, 202)(101, 246)(102, 245)(103, 247)(104, 248)(105, 201)(106, 206)(107, 204)(108, 205)(109, 214)(110, 213)(111, 215)(112, 216)(113, 217)(114, 222)(115, 220)(116, 221)(117, 230)(118, 229)(119, 231)(120, 232)(121, 253)(122, 255)(123, 254)(124, 256)(125, 249)(126, 251)(127, 250)(128, 252)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 438)(288, 440)(289, 441)(290, 442)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 452)(298, 454)(299, 455)(300, 456)(301, 457)(302, 460)(303, 462)(304, 459)(305, 461)(306, 458)(307, 465)(308, 466)(309, 463)(310, 415)(311, 464)(312, 416)(313, 417)(314, 418)(315, 473)(316, 476)(317, 478)(318, 475)(319, 477)(320, 474)(321, 481)(322, 482)(323, 479)(324, 425)(325, 480)(326, 426)(327, 427)(328, 428)(329, 429)(330, 434)(331, 432)(332, 430)(333, 433)(334, 431)(335, 437)(336, 439)(337, 435)(338, 436)(339, 493)(340, 494)(341, 495)(342, 496)(343, 491)(344, 490)(345, 443)(346, 448)(347, 446)(348, 444)(349, 447)(350, 445)(351, 451)(352, 453)(353, 449)(354, 450)(355, 501)(356, 502)(357, 503)(358, 504)(359, 499)(360, 498)(361, 505)(362, 472)(363, 471)(364, 506)(365, 467)(366, 468)(367, 469)(368, 470)(369, 509)(370, 488)(371, 487)(372, 510)(373, 483)(374, 484)(375, 485)(376, 486)(377, 489)(378, 492)(379, 512)(380, 511)(381, 497)(382, 500)(383, 508)(384, 507)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1865
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1872 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 26510>$ (small group id <256, 26510>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 40, 168)(23, 151, 37, 165)(25, 153, 44, 172)(27, 155, 33, 161)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 32, 160)(31, 159, 51, 179)(35, 163, 54, 182)(42, 170, 64, 192)(43, 171, 66, 194)(45, 173, 63, 191)(46, 174, 60, 188)(47, 175, 59, 187)(48, 176, 62, 190)(49, 177, 57, 185)(50, 178, 56, 184)(52, 180, 72, 200)(53, 181, 74, 202)(55, 183, 71, 199)(58, 186, 70, 198)(61, 189, 77, 205)(65, 193, 80, 208)(67, 195, 83, 211)(68, 196, 82, 210)(69, 197, 85, 213)(73, 201, 88, 216)(75, 203, 91, 219)(76, 204, 90, 218)(78, 206, 96, 224)(79, 207, 98, 226)(81, 209, 95, 223)(84, 212, 94, 222)(86, 214, 104, 232)(87, 215, 106, 234)(89, 217, 103, 231)(92, 220, 102, 230)(93, 221, 109, 237)(97, 225, 112, 240)(99, 227, 115, 243)(100, 228, 114, 242)(101, 229, 117, 245)(105, 233, 120, 248)(107, 235, 123, 251)(108, 236, 122, 250)(110, 238, 121, 249)(111, 239, 124, 252)(113, 241, 118, 246)(116, 244, 119, 247)(125, 253, 128, 256)(126, 254, 127, 255)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 301, 429)(282, 410, 304, 432)(284, 412, 306, 434)(285, 413, 305, 433)(288, 416, 309, 437)(289, 417, 308, 436)(290, 418, 311, 439)(292, 420, 314, 442)(294, 422, 316, 444)(295, 423, 315, 443)(297, 425, 317, 445)(300, 428, 321, 449)(302, 430, 324, 452)(303, 431, 323, 451)(307, 435, 325, 453)(310, 438, 329, 457)(312, 440, 332, 460)(313, 441, 331, 459)(318, 446, 335, 463)(319, 447, 334, 462)(320, 448, 337, 465)(322, 450, 340, 468)(326, 454, 343, 471)(327, 455, 342, 470)(328, 456, 345, 473)(330, 458, 348, 476)(333, 461, 349, 477)(336, 464, 353, 481)(338, 466, 356, 484)(339, 467, 355, 483)(341, 469, 357, 485)(344, 472, 361, 489)(346, 474, 364, 492)(347, 475, 363, 491)(350, 478, 367, 495)(351, 479, 366, 494)(352, 480, 369, 497)(354, 482, 372, 500)(358, 486, 375, 503)(359, 487, 374, 502)(360, 488, 377, 505)(362, 490, 380, 508)(365, 493, 376, 504)(368, 496, 373, 501)(370, 498, 382, 510)(371, 499, 381, 509)(378, 506, 384, 512)(379, 507, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 300)(23, 265)(24, 302)(25, 267)(26, 303)(27, 305)(28, 270)(29, 268)(30, 306)(31, 308)(32, 310)(33, 271)(34, 312)(35, 273)(36, 313)(37, 315)(38, 276)(39, 274)(40, 316)(41, 318)(42, 321)(43, 277)(44, 279)(45, 323)(46, 282)(47, 280)(48, 324)(49, 286)(50, 283)(51, 326)(52, 329)(53, 287)(54, 289)(55, 331)(56, 292)(57, 290)(58, 332)(59, 296)(60, 293)(61, 334)(62, 336)(63, 297)(64, 338)(65, 299)(66, 339)(67, 304)(68, 301)(69, 342)(70, 344)(71, 307)(72, 346)(73, 309)(74, 347)(75, 314)(76, 311)(77, 350)(78, 353)(79, 317)(80, 319)(81, 355)(82, 322)(83, 320)(84, 356)(85, 358)(86, 361)(87, 325)(88, 327)(89, 363)(90, 330)(91, 328)(92, 364)(93, 366)(94, 368)(95, 333)(96, 370)(97, 335)(98, 371)(99, 340)(100, 337)(101, 374)(102, 376)(103, 341)(104, 378)(105, 343)(106, 379)(107, 348)(108, 345)(109, 375)(110, 373)(111, 349)(112, 351)(113, 381)(114, 354)(115, 352)(116, 382)(117, 367)(118, 365)(119, 357)(120, 359)(121, 383)(122, 362)(123, 360)(124, 384)(125, 372)(126, 369)(127, 380)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1874
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1873 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 26498>$ (small group id <256, 26498>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1)^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 21, 149)(16, 144, 19, 147)(17, 145, 22, 150)(18, 146, 28, 156)(24, 152, 35, 163)(25, 153, 34, 162)(26, 154, 32, 160)(27, 155, 31, 159)(29, 157, 39, 167)(30, 158, 38, 166)(33, 161, 41, 169)(36, 164, 44, 172)(37, 165, 45, 173)(40, 168, 48, 176)(42, 170, 51, 179)(43, 171, 50, 178)(46, 174, 55, 183)(47, 175, 54, 182)(49, 177, 57, 185)(52, 180, 60, 188)(53, 181, 61, 189)(56, 184, 64, 192)(58, 186, 67, 195)(59, 187, 66, 194)(62, 190, 71, 199)(63, 191, 70, 198)(65, 193, 73, 201)(68, 196, 76, 204)(69, 197, 77, 205)(72, 200, 80, 208)(74, 202, 83, 211)(75, 203, 82, 210)(78, 206, 87, 215)(79, 207, 86, 214)(81, 209, 89, 217)(84, 212, 92, 220)(85, 213, 93, 221)(88, 216, 96, 224)(90, 218, 99, 227)(91, 219, 98, 226)(94, 222, 103, 231)(95, 223, 102, 230)(97, 225, 105, 233)(100, 228, 108, 236)(101, 229, 109, 237)(104, 232, 112, 240)(106, 234, 115, 243)(107, 235, 114, 242)(110, 238, 119, 247)(111, 239, 118, 246)(113, 241, 117, 245)(116, 244, 123, 251)(120, 248, 126, 254)(121, 249, 125, 253)(122, 250, 124, 252)(127, 255, 128, 256)(257, 385, 259, 387)(258, 386, 261, 389)(260, 388, 264, 392)(262, 390, 267, 395)(263, 391, 269, 397)(265, 393, 272, 400)(266, 394, 274, 402)(268, 396, 277, 405)(270, 398, 280, 408)(271, 399, 281, 409)(273, 401, 283, 411)(275, 403, 285, 413)(276, 404, 286, 414)(278, 406, 288, 416)(279, 407, 289, 417)(282, 410, 292, 420)(284, 412, 293, 421)(287, 415, 296, 424)(290, 418, 298, 426)(291, 419, 299, 427)(294, 422, 302, 430)(295, 423, 303, 431)(297, 425, 305, 433)(300, 428, 308, 436)(301, 429, 309, 437)(304, 432, 312, 440)(306, 434, 314, 442)(307, 435, 315, 443)(310, 438, 318, 446)(311, 439, 319, 447)(313, 441, 321, 449)(316, 444, 324, 452)(317, 445, 325, 453)(320, 448, 328, 456)(322, 450, 330, 458)(323, 451, 331, 459)(326, 454, 334, 462)(327, 455, 335, 463)(329, 457, 337, 465)(332, 460, 340, 468)(333, 461, 341, 469)(336, 464, 344, 472)(338, 466, 346, 474)(339, 467, 347, 475)(342, 470, 350, 478)(343, 471, 351, 479)(345, 473, 353, 481)(348, 476, 356, 484)(349, 477, 357, 485)(352, 480, 360, 488)(354, 482, 362, 490)(355, 483, 363, 491)(358, 486, 366, 494)(359, 487, 367, 495)(361, 489, 369, 497)(364, 492, 372, 500)(365, 493, 373, 501)(368, 496, 376, 504)(370, 498, 377, 505)(371, 499, 378, 506)(374, 502, 380, 508)(375, 503, 381, 509)(379, 507, 383, 511)(382, 510, 384, 512)
	L = (1, 260)(2, 262)(3, 264)(4, 257)(5, 267)(6, 258)(7, 270)(8, 259)(9, 273)(10, 275)(11, 261)(12, 278)(13, 280)(14, 263)(15, 282)(16, 283)(17, 265)(18, 285)(19, 266)(20, 287)(21, 288)(22, 268)(23, 290)(24, 269)(25, 292)(26, 271)(27, 272)(28, 294)(29, 274)(30, 296)(31, 276)(32, 277)(33, 298)(34, 279)(35, 300)(36, 281)(37, 302)(38, 284)(39, 304)(40, 286)(41, 306)(42, 289)(43, 308)(44, 291)(45, 310)(46, 293)(47, 312)(48, 295)(49, 314)(50, 297)(51, 316)(52, 299)(53, 318)(54, 301)(55, 320)(56, 303)(57, 322)(58, 305)(59, 324)(60, 307)(61, 326)(62, 309)(63, 328)(64, 311)(65, 330)(66, 313)(67, 332)(68, 315)(69, 334)(70, 317)(71, 336)(72, 319)(73, 338)(74, 321)(75, 340)(76, 323)(77, 342)(78, 325)(79, 344)(80, 327)(81, 346)(82, 329)(83, 348)(84, 331)(85, 350)(86, 333)(87, 352)(88, 335)(89, 354)(90, 337)(91, 356)(92, 339)(93, 358)(94, 341)(95, 360)(96, 343)(97, 362)(98, 345)(99, 364)(100, 347)(101, 366)(102, 349)(103, 368)(104, 351)(105, 370)(106, 353)(107, 372)(108, 355)(109, 374)(110, 357)(111, 376)(112, 359)(113, 377)(114, 361)(115, 379)(116, 363)(117, 380)(118, 365)(119, 382)(120, 367)(121, 369)(122, 383)(123, 371)(124, 373)(125, 384)(126, 375)(127, 378)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1875
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1874 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 26510>$ (small group id <256, 26510>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, Y1^4, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1^-1 * R * Y2 * Y1^-1 * Y2 * R * Y1^-1, Y2 * Y1 * Y3^-6 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 20, 148, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 17, 145, 25, 153)(12, 140, 32, 160, 43, 171, 31, 159)(14, 142, 35, 163, 44, 172, 30, 158)(16, 144, 28, 156, 45, 173, 38, 166)(19, 147, 27, 155, 46, 174, 41, 169)(24, 152, 50, 178, 37, 165, 49, 177)(26, 154, 53, 181, 40, 168, 48, 176)(29, 157, 57, 185, 34, 162, 59, 187)(33, 161, 62, 190, 75, 203, 64, 192)(36, 164, 61, 189, 76, 204, 67, 195)(39, 167, 70, 198, 77, 205, 56, 184)(42, 170, 73, 201, 78, 206, 55, 183)(47, 175, 79, 207, 52, 180, 81, 209)(51, 179, 84, 212, 69, 197, 86, 214)(54, 182, 83, 211, 72, 200, 89, 217)(58, 186, 96, 224, 63, 191, 95, 223)(60, 188, 98, 226, 66, 194, 94, 222)(65, 193, 102, 230, 108, 236, 87, 215)(68, 196, 104, 232, 109, 237, 100, 228)(71, 199, 92, 220, 110, 238, 101, 229)(74, 202, 91, 219, 111, 239, 107, 235)(80, 208, 115, 243, 85, 213, 114, 242)(82, 210, 117, 245, 88, 216, 113, 241)(90, 218, 121, 249, 106, 234, 119, 247)(93, 221, 123, 251, 97, 225, 122, 250)(99, 227, 118, 246, 103, 231, 120, 248)(105, 233, 116, 244, 126, 254, 112, 240)(124, 252, 128, 256, 125, 253, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 285, 413)(269, 397, 290, 418)(271, 399, 293, 421)(272, 400, 292, 420)(274, 402, 296, 424)(275, 403, 289, 417)(277, 405, 300, 428)(278, 406, 299, 427)(279, 407, 303, 431)(281, 409, 308, 436)(283, 411, 310, 438)(284, 412, 307, 435)(286, 414, 316, 444)(287, 415, 314, 442)(288, 416, 319, 447)(291, 419, 322, 450)(294, 422, 325, 453)(295, 423, 324, 452)(297, 425, 328, 456)(298, 426, 321, 449)(301, 429, 332, 460)(302, 430, 331, 459)(304, 432, 338, 466)(305, 433, 336, 464)(306, 434, 341, 469)(309, 437, 344, 472)(311, 439, 346, 474)(312, 440, 343, 471)(313, 441, 349, 477)(315, 443, 353, 481)(317, 445, 355, 483)(318, 446, 348, 476)(320, 448, 357, 485)(323, 451, 359, 487)(326, 454, 358, 486)(327, 455, 361, 489)(329, 457, 362, 490)(330, 458, 342, 470)(333, 461, 365, 493)(334, 462, 364, 492)(335, 463, 368, 496)(337, 465, 372, 500)(339, 467, 374, 502)(340, 468, 367, 495)(345, 473, 376, 504)(347, 475, 378, 506)(350, 478, 375, 503)(351, 479, 380, 508)(352, 480, 381, 509)(354, 482, 377, 505)(356, 484, 373, 501)(360, 488, 369, 497)(363, 491, 379, 507)(366, 494, 382, 510)(370, 498, 383, 511)(371, 499, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 286)(12, 289)(13, 291)(14, 259)(15, 261)(16, 295)(17, 293)(18, 297)(19, 262)(20, 299)(21, 301)(22, 263)(23, 304)(24, 307)(25, 309)(26, 264)(27, 311)(28, 266)(29, 314)(30, 317)(31, 267)(32, 269)(33, 321)(34, 319)(35, 323)(36, 270)(37, 325)(38, 271)(39, 327)(40, 273)(41, 329)(42, 275)(43, 331)(44, 276)(45, 333)(46, 278)(47, 336)(48, 339)(49, 279)(50, 281)(51, 343)(52, 341)(53, 345)(54, 282)(55, 347)(56, 284)(57, 350)(58, 348)(59, 354)(60, 285)(61, 356)(62, 287)(63, 357)(64, 288)(65, 342)(66, 290)(67, 360)(68, 292)(69, 358)(70, 294)(71, 352)(72, 296)(73, 363)(74, 298)(75, 364)(76, 300)(77, 366)(78, 302)(79, 369)(80, 367)(81, 373)(82, 303)(83, 375)(84, 305)(85, 330)(86, 306)(87, 318)(88, 308)(89, 377)(90, 310)(91, 371)(92, 312)(93, 380)(94, 374)(95, 313)(96, 315)(97, 381)(98, 376)(99, 316)(100, 372)(101, 326)(102, 320)(103, 322)(104, 368)(105, 324)(106, 328)(107, 370)(108, 340)(109, 332)(110, 351)(111, 334)(112, 383)(113, 359)(114, 335)(115, 337)(116, 384)(117, 355)(118, 338)(119, 349)(120, 344)(121, 353)(122, 346)(123, 362)(124, 382)(125, 361)(126, 365)(127, 379)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1872
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1875 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 916>$ (small group id <128, 916>)
Aut   = $<256, 26498>$ (small group id <256, 26498>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-2)^2, Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1^-1, (Y1^-1 * R * Y2)^2, Y3^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 20, 148, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 17, 145, 25, 153)(12, 140, 30, 158, 38, 166, 29, 157)(14, 142, 33, 161, 39, 167, 26, 154)(16, 144, 28, 156, 40, 168, 35, 163)(19, 147, 27, 155, 41, 169, 32, 160)(24, 152, 43, 171, 34, 162, 42, 170)(31, 159, 47, 175, 55, 183, 49, 177)(36, 164, 52, 180, 56, 184, 46, 174)(37, 165, 48, 176, 57, 185, 45, 173)(44, 172, 58, 186, 51, 179, 59, 187)(50, 178, 65, 193, 71, 199, 63, 191)(53, 181, 62, 190, 72, 200, 68, 196)(54, 182, 61, 189, 73, 201, 64, 192)(60, 188, 75, 203, 67, 195, 74, 202)(66, 194, 79, 207, 87, 215, 81, 209)(69, 197, 84, 212, 88, 216, 78, 206)(70, 198, 80, 208, 89, 217, 77, 205)(76, 204, 90, 218, 83, 211, 91, 219)(82, 210, 97, 225, 103, 231, 95, 223)(85, 213, 94, 222, 104, 232, 100, 228)(86, 214, 93, 221, 105, 233, 96, 224)(92, 220, 107, 235, 99, 227, 106, 234)(98, 226, 111, 239, 118, 246, 113, 241)(101, 229, 116, 244, 119, 247, 110, 238)(102, 230, 112, 240, 120, 248, 109, 237)(108, 236, 121, 249, 115, 243, 122, 250)(114, 242, 126, 254, 127, 255, 123, 251)(117, 245, 124, 252, 128, 256, 125, 253)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 283, 411)(269, 397, 288, 416)(271, 399, 290, 418)(272, 400, 281, 409)(274, 402, 289, 417)(275, 403, 287, 415)(277, 405, 295, 423)(278, 406, 294, 422)(279, 407, 296, 424)(284, 412, 300, 428)(285, 413, 301, 429)(286, 414, 304, 432)(291, 419, 307, 435)(292, 420, 299, 427)(293, 421, 306, 434)(297, 425, 311, 439)(298, 426, 312, 440)(302, 430, 316, 444)(303, 431, 317, 445)(305, 433, 320, 448)(308, 436, 323, 451)(309, 437, 315, 443)(310, 438, 322, 450)(313, 441, 327, 455)(314, 442, 328, 456)(318, 446, 332, 460)(319, 447, 333, 461)(321, 449, 336, 464)(324, 452, 339, 467)(325, 453, 331, 459)(326, 454, 338, 466)(329, 457, 343, 471)(330, 458, 344, 472)(334, 462, 348, 476)(335, 463, 349, 477)(337, 465, 352, 480)(340, 468, 355, 483)(341, 469, 347, 475)(342, 470, 354, 482)(345, 473, 359, 487)(346, 474, 360, 488)(350, 478, 364, 492)(351, 479, 365, 493)(353, 481, 368, 496)(356, 484, 371, 499)(357, 485, 363, 491)(358, 486, 370, 498)(361, 489, 374, 502)(362, 490, 375, 503)(366, 494, 379, 507)(367, 495, 380, 508)(369, 497, 381, 509)(372, 500, 382, 510)(373, 501, 378, 506)(376, 504, 383, 511)(377, 505, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 282)(12, 287)(13, 289)(14, 259)(15, 261)(16, 292)(17, 290)(18, 288)(19, 262)(20, 294)(21, 296)(22, 263)(23, 295)(24, 300)(25, 270)(26, 264)(27, 301)(28, 266)(29, 267)(30, 269)(31, 306)(32, 304)(33, 273)(34, 307)(35, 271)(36, 309)(37, 275)(38, 311)(39, 276)(40, 312)(41, 278)(42, 279)(43, 281)(44, 316)(45, 317)(46, 284)(47, 285)(48, 320)(49, 286)(50, 322)(51, 323)(52, 291)(53, 325)(54, 293)(55, 327)(56, 328)(57, 297)(58, 298)(59, 299)(60, 332)(61, 333)(62, 302)(63, 303)(64, 336)(65, 305)(66, 338)(67, 339)(68, 308)(69, 341)(70, 310)(71, 343)(72, 344)(73, 313)(74, 314)(75, 315)(76, 348)(77, 349)(78, 318)(79, 319)(80, 352)(81, 321)(82, 354)(83, 355)(84, 324)(85, 357)(86, 326)(87, 359)(88, 360)(89, 329)(90, 330)(91, 331)(92, 364)(93, 365)(94, 334)(95, 335)(96, 368)(97, 337)(98, 370)(99, 371)(100, 340)(101, 373)(102, 342)(103, 374)(104, 375)(105, 345)(106, 346)(107, 347)(108, 379)(109, 380)(110, 350)(111, 351)(112, 381)(113, 353)(114, 378)(115, 382)(116, 356)(117, 358)(118, 383)(119, 384)(120, 361)(121, 362)(122, 363)(123, 367)(124, 366)(125, 372)(126, 369)(127, 377)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1873
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1876 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1, (Y2 * Y3 * Y1 * Y3 * Y1 * Y3)^2, (Y1 * Y2 * Y3)^4 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 161, 33, 144)(18, 165, 37, 146)(19, 167, 39, 147)(20, 169, 41, 148)(22, 173, 45, 150)(23, 175, 47, 151)(24, 177, 49, 152)(26, 181, 53, 154)(27, 183, 55, 155)(28, 185, 57, 156)(30, 189, 61, 158)(32, 191, 63, 160)(34, 195, 67, 162)(35, 196, 68, 163)(36, 198, 70, 164)(38, 190, 62, 166)(40, 203, 75, 168)(42, 204, 76, 170)(43, 206, 78, 171)(44, 194, 66, 172)(46, 182, 54, 174)(48, 210, 82, 176)(50, 214, 86, 178)(51, 215, 87, 179)(52, 217, 89, 180)(56, 222, 94, 184)(58, 223, 95, 186)(59, 225, 97, 187)(60, 213, 85, 188)(64, 219, 91, 192)(65, 231, 103, 193)(69, 216, 88, 197)(71, 226, 98, 199)(72, 211, 83, 200)(73, 230, 102, 201)(74, 238, 110, 202)(77, 227, 99, 205)(79, 218, 90, 207)(80, 224, 96, 208)(81, 240, 112, 209)(84, 244, 116, 212)(92, 243, 115, 220)(93, 251, 123, 221)(100, 253, 125, 228)(101, 250, 122, 229)(104, 246, 118, 232)(105, 245, 117, 233)(106, 254, 126, 234)(107, 248, 120, 235)(108, 252, 124, 236)(109, 242, 114, 237)(111, 249, 121, 239)(113, 247, 119, 241)(127, 256, 128, 255)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 46)(24, 50)(25, 51)(28, 58)(29, 59)(30, 62)(31, 61)(32, 64)(33, 65)(36, 71)(37, 72)(38, 73)(39, 68)(40, 57)(41, 56)(44, 69)(45, 47)(48, 83)(49, 84)(52, 90)(53, 91)(54, 92)(55, 87)(60, 88)(63, 101)(66, 105)(67, 106)(70, 104)(74, 111)(75, 107)(76, 98)(77, 112)(78, 99)(79, 95)(80, 97)(81, 113)(82, 114)(85, 118)(86, 119)(89, 117)(93, 124)(94, 120)(96, 125)(100, 126)(102, 121)(103, 122)(108, 115)(109, 116)(110, 127)(123, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 164)(146, 166)(147, 168)(149, 172)(151, 176)(153, 180)(154, 182)(155, 184)(157, 188)(159, 178)(161, 194)(162, 175)(163, 197)(165, 185)(167, 202)(169, 181)(170, 205)(171, 207)(173, 208)(174, 209)(177, 213)(179, 216)(183, 221)(186, 224)(187, 226)(189, 227)(190, 228)(191, 218)(192, 230)(193, 232)(195, 235)(196, 236)(198, 219)(199, 210)(200, 217)(201, 237)(203, 229)(204, 234)(206, 239)(211, 243)(212, 245)(214, 248)(215, 249)(220, 250)(222, 242)(223, 247)(225, 252)(231, 255)(233, 253)(238, 254)(240, 246)(241, 251)(244, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1879
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1877 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y3 * Y2 * Y3 * Y1 * Y2)^2, (Y3 * Y2 * Y3 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1, Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1, Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 155, 27, 144)(18, 164, 36, 146)(19, 152, 24, 147)(20, 167, 39, 148)(22, 171, 43, 150)(23, 173, 45, 151)(26, 178, 50, 154)(28, 181, 53, 156)(30, 185, 57, 158)(32, 189, 61, 160)(33, 191, 63, 161)(34, 188, 60, 162)(35, 194, 66, 163)(37, 186, 58, 165)(38, 199, 71, 166)(40, 202, 74, 168)(41, 204, 76, 169)(42, 200, 72, 170)(44, 179, 51, 172)(46, 210, 82, 174)(47, 212, 84, 175)(48, 209, 81, 176)(49, 215, 87, 177)(52, 220, 92, 180)(54, 223, 95, 182)(55, 225, 97, 183)(56, 221, 93, 184)(59, 219, 91, 187)(62, 224, 96, 190)(64, 233, 105, 192)(65, 214, 86, 193)(67, 226, 98, 195)(68, 227, 99, 196)(69, 234, 106, 197)(70, 208, 80, 198)(73, 228, 100, 201)(75, 211, 83, 203)(77, 216, 88, 205)(78, 217, 89, 206)(79, 222, 94, 207)(85, 242, 114, 213)(90, 243, 115, 218)(101, 245, 117, 229)(102, 244, 116, 230)(103, 246, 118, 231)(104, 241, 113, 232)(107, 239, 111, 235)(108, 238, 110, 236)(109, 240, 112, 237)(119, 254, 126, 247)(120, 253, 125, 248)(121, 252, 124, 249)(122, 251, 123, 250)(127, 256, 128, 255)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 33)(17, 34)(20, 40)(21, 41)(22, 44)(24, 47)(25, 48)(28, 54)(29, 55)(30, 58)(31, 59)(32, 62)(35, 67)(36, 68)(37, 70)(38, 69)(39, 72)(42, 65)(43, 64)(45, 80)(46, 83)(49, 88)(50, 89)(51, 91)(52, 90)(53, 93)(56, 86)(57, 85)(60, 101)(61, 102)(63, 103)(66, 106)(71, 104)(73, 96)(74, 98)(75, 94)(76, 99)(77, 95)(78, 97)(79, 109)(81, 110)(82, 111)(84, 112)(87, 115)(92, 113)(100, 118)(105, 119)(107, 121)(108, 120)(114, 123)(116, 125)(117, 124)(122, 127)(126, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 163)(146, 165)(147, 166)(149, 170)(151, 174)(153, 177)(154, 179)(155, 180)(157, 184)(159, 188)(161, 192)(162, 193)(164, 197)(167, 201)(168, 203)(169, 205)(171, 206)(172, 207)(173, 209)(175, 213)(176, 214)(178, 218)(181, 222)(182, 224)(183, 226)(185, 227)(186, 228)(187, 211)(189, 216)(190, 208)(191, 232)(194, 217)(195, 210)(196, 215)(198, 235)(199, 230)(200, 236)(202, 231)(204, 233)(212, 241)(219, 244)(220, 239)(221, 245)(223, 240)(225, 242)(229, 247)(234, 248)(237, 250)(238, 251)(243, 252)(246, 254)(249, 255)(253, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1878
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1878 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y1 * Y2)^2, Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3, (Y3 * Y1^-1 * Y2 * Y1)^2, (Y1^-1 * Y3 * Y1^-1 * Y2)^2, (Y1^-1 * Y3 * Y1 * Y2)^2, Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^2, Y2 * Y1^-2 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 153, 25, 139, 11, 131)(4, 140, 12, 160, 32, 142, 14, 132)(7, 147, 19, 175, 47, 149, 21, 135)(8, 150, 22, 181, 53, 152, 24, 136)(10, 156, 28, 170, 42, 151, 23, 138)(13, 162, 34, 173, 45, 148, 20, 141)(15, 165, 37, 202, 74, 166, 38, 143)(16, 167, 39, 203, 75, 168, 40, 144)(17, 169, 41, 204, 76, 171, 43, 145)(18, 172, 44, 210, 82, 174, 46, 146)(26, 184, 56, 205, 77, 188, 60, 154)(27, 189, 61, 206, 78, 177, 49, 155)(29, 191, 63, 225, 97, 187, 59, 157)(30, 182, 54, 208, 80, 193, 65, 158)(31, 194, 66, 209, 81, 180, 52, 159)(33, 179, 51, 211, 83, 197, 69, 161)(35, 199, 71, 233, 105, 196, 68, 163)(36, 176, 48, 213, 85, 201, 73, 164)(50, 217, 89, 249, 121, 216, 88, 178)(55, 221, 93, 253, 125, 220, 92, 183)(57, 214, 86, 240, 112, 223, 95, 185)(58, 224, 96, 241, 113, 219, 91, 186)(62, 227, 99, 252, 124, 229, 101, 190)(64, 222, 94, 244, 116, 228, 100, 192)(67, 232, 104, 245, 117, 215, 87, 195)(70, 235, 107, 256, 128, 237, 109, 198)(72, 218, 90, 248, 120, 236, 108, 200)(79, 243, 115, 239, 111, 242, 114, 207)(84, 247, 119, 231, 103, 246, 118, 212)(98, 251, 123, 234, 106, 255, 127, 226)(102, 250, 122, 238, 110, 254, 126, 230)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 31)(14, 27)(16, 28)(18, 45)(19, 48)(20, 50)(21, 51)(22, 52)(24, 49)(25, 57)(32, 67)(33, 68)(34, 70)(35, 72)(36, 71)(37, 73)(38, 69)(39, 66)(40, 61)(41, 77)(42, 79)(43, 80)(44, 81)(46, 78)(47, 86)(53, 91)(54, 92)(55, 94)(56, 93)(58, 97)(59, 98)(60, 99)(62, 100)(63, 102)(64, 103)(65, 101)(74, 95)(75, 96)(76, 112)(82, 117)(83, 118)(84, 120)(85, 119)(87, 121)(88, 122)(89, 123)(90, 124)(104, 128)(105, 116)(106, 114)(107, 127)(108, 125)(109, 126)(110, 115)(111, 113)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 155)(139, 159)(140, 161)(141, 163)(142, 164)(143, 162)(145, 170)(147, 177)(149, 180)(150, 182)(151, 183)(152, 184)(153, 186)(154, 187)(156, 190)(157, 192)(158, 191)(160, 185)(165, 189)(166, 194)(167, 193)(168, 188)(169, 206)(171, 209)(172, 211)(173, 212)(174, 213)(175, 215)(176, 216)(178, 218)(179, 217)(181, 214)(195, 233)(196, 234)(197, 235)(198, 236)(199, 238)(200, 239)(201, 237)(202, 232)(203, 223)(204, 241)(205, 242)(207, 244)(208, 243)(210, 240)(219, 253)(220, 254)(221, 255)(222, 256)(224, 252)(225, 248)(226, 246)(227, 251)(228, 249)(229, 250)(230, 247)(231, 245)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1877
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1879 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y3 * Y1^-1 * Y2)^2, (Y3 * Y2 * Y1^-1)^2, Y2 * Y3 * Y1^-2 * Y3 * Y2 * Y1^2, Y3 * Y1 * Y2 * Y1 * Y3 * Y1^-1 * Y2 * Y1^-1, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1^-1 * Y3 * Y1^2 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 153, 25, 139, 11, 131)(4, 140, 12, 160, 32, 142, 14, 132)(7, 147, 19, 175, 47, 149, 21, 135)(8, 150, 22, 181, 53, 152, 24, 136)(10, 156, 28, 170, 42, 151, 23, 138)(13, 162, 34, 173, 45, 148, 20, 141)(15, 165, 37, 202, 74, 166, 38, 143)(16, 167, 39, 203, 75, 168, 40, 144)(17, 169, 41, 204, 76, 171, 43, 145)(18, 172, 44, 210, 82, 174, 46, 146)(26, 187, 59, 205, 77, 182, 54, 154)(27, 180, 52, 206, 78, 189, 61, 155)(29, 191, 63, 225, 97, 188, 60, 157)(30, 193, 65, 208, 80, 184, 56, 158)(31, 177, 49, 209, 81, 194, 66, 159)(33, 196, 68, 211, 83, 176, 48, 161)(35, 199, 71, 233, 105, 197, 69, 163)(36, 201, 73, 213, 85, 179, 51, 164)(50, 217, 89, 249, 121, 216, 88, 178)(55, 221, 93, 253, 125, 220, 92, 183)(57, 214, 86, 240, 112, 223, 95, 185)(58, 224, 96, 241, 113, 219, 91, 186)(62, 228, 100, 252, 124, 226, 98, 190)(64, 222, 94, 244, 116, 229, 101, 192)(67, 232, 104, 245, 117, 215, 87, 195)(70, 236, 108, 256, 128, 234, 106, 198)(72, 218, 90, 248, 120, 237, 109, 200)(79, 243, 115, 239, 111, 242, 114, 207)(84, 247, 119, 231, 103, 246, 118, 212)(99, 254, 126, 235, 107, 250, 122, 227)(102, 255, 127, 238, 110, 251, 123, 230)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 26)(10, 29)(11, 30)(12, 31)(14, 27)(16, 28)(18, 45)(19, 48)(20, 50)(21, 51)(22, 52)(24, 49)(25, 57)(32, 67)(33, 69)(34, 70)(35, 72)(36, 71)(37, 68)(38, 73)(39, 61)(40, 66)(41, 77)(42, 79)(43, 80)(44, 81)(46, 78)(47, 86)(53, 91)(54, 92)(55, 94)(56, 93)(58, 97)(59, 98)(60, 99)(62, 101)(63, 102)(64, 103)(65, 100)(74, 95)(75, 96)(76, 112)(82, 117)(83, 118)(84, 120)(85, 119)(87, 121)(88, 122)(89, 123)(90, 124)(104, 128)(105, 116)(106, 126)(107, 114)(108, 127)(109, 125)(110, 115)(111, 113)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 155)(139, 159)(140, 161)(141, 163)(142, 164)(143, 162)(145, 170)(147, 177)(149, 180)(150, 182)(151, 183)(152, 184)(153, 186)(154, 188)(156, 190)(157, 192)(158, 191)(160, 185)(165, 194)(166, 189)(167, 187)(168, 193)(169, 206)(171, 209)(172, 211)(173, 212)(174, 213)(175, 215)(176, 216)(178, 218)(179, 217)(181, 214)(195, 233)(196, 234)(197, 235)(198, 237)(199, 238)(200, 239)(201, 236)(202, 232)(203, 223)(204, 241)(205, 242)(207, 244)(208, 243)(210, 240)(219, 253)(220, 254)(221, 255)(222, 256)(224, 252)(225, 248)(226, 250)(227, 246)(228, 251)(229, 249)(230, 247)(231, 245)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1876
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1880 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2, (Y1 * Y3 * Y2)^4 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 44, 172)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 54, 182)(27, 155, 56, 184)(29, 157, 60, 188)(31, 159, 64, 192)(33, 161, 67, 195)(34, 162, 62, 190)(35, 163, 68, 196)(37, 165, 71, 199)(39, 167, 73, 201)(41, 169, 59, 187)(42, 170, 77, 205)(43, 171, 57, 185)(45, 173, 80, 208)(46, 174, 50, 178)(47, 175, 83, 211)(49, 177, 86, 214)(51, 179, 87, 215)(53, 181, 90, 218)(55, 183, 92, 220)(58, 186, 96, 224)(61, 189, 99, 227)(63, 191, 102, 230)(65, 193, 105, 233)(66, 194, 94, 222)(69, 197, 108, 236)(70, 198, 95, 223)(72, 200, 109, 237)(74, 202, 110, 238)(75, 203, 85, 213)(76, 204, 89, 217)(78, 206, 104, 232)(79, 207, 112, 240)(81, 209, 106, 234)(82, 210, 115, 243)(84, 212, 118, 246)(88, 216, 121, 249)(91, 219, 122, 250)(93, 221, 123, 251)(97, 225, 117, 245)(98, 226, 125, 253)(100, 228, 119, 247)(101, 229, 124, 252)(103, 231, 120, 248)(107, 235, 116, 244)(111, 239, 114, 242)(113, 241, 127, 255)(126, 254, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 297)(278, 301)(279, 303)(280, 305)(282, 309)(283, 311)(284, 313)(286, 317)(288, 315)(290, 307)(291, 306)(292, 308)(294, 328)(296, 330)(298, 314)(299, 304)(300, 334)(302, 337)(310, 347)(312, 349)(316, 353)(318, 356)(319, 357)(320, 359)(321, 360)(322, 362)(323, 351)(324, 354)(325, 363)(326, 358)(327, 346)(329, 348)(331, 350)(332, 342)(333, 367)(335, 343)(336, 366)(338, 370)(339, 372)(340, 373)(341, 375)(344, 376)(345, 371)(352, 380)(355, 379)(361, 374)(364, 382)(365, 381)(368, 378)(369, 377)(383, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 426)(405, 427)(406, 430)(408, 434)(409, 435)(412, 442)(413, 443)(414, 446)(415, 447)(416, 449)(417, 450)(420, 453)(421, 454)(422, 457)(423, 448)(424, 459)(425, 460)(428, 463)(429, 456)(431, 466)(432, 468)(433, 469)(436, 472)(437, 473)(438, 476)(439, 467)(440, 478)(441, 479)(444, 482)(445, 475)(451, 491)(452, 477)(455, 481)(458, 471)(461, 496)(462, 474)(464, 497)(465, 489)(470, 504)(480, 509)(483, 510)(484, 502)(485, 511)(486, 506)(487, 507)(488, 505)(490, 508)(492, 501)(493, 499)(494, 500)(495, 503)(498, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1886
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1881 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y2 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 52, 180)(27, 155, 54, 182)(29, 157, 57, 185)(31, 159, 60, 188)(33, 161, 63, 191)(34, 162, 64, 192)(35, 163, 65, 193)(37, 165, 68, 196)(39, 167, 70, 198)(41, 169, 74, 202)(42, 170, 75, 203)(44, 172, 79, 207)(45, 173, 81, 209)(47, 175, 84, 212)(48, 176, 85, 213)(49, 177, 86, 214)(51, 179, 89, 217)(53, 181, 91, 219)(55, 183, 95, 223)(56, 184, 96, 224)(58, 186, 100, 228)(59, 187, 102, 230)(61, 189, 90, 218)(62, 190, 93, 221)(66, 194, 107, 235)(67, 195, 94, 222)(69, 197, 82, 210)(71, 199, 108, 236)(72, 200, 83, 211)(73, 201, 88, 216)(76, 204, 103, 231)(77, 205, 109, 237)(78, 206, 104, 232)(80, 208, 111, 239)(87, 215, 116, 244)(92, 220, 117, 245)(97, 225, 112, 240)(98, 226, 118, 246)(99, 227, 113, 241)(101, 229, 120, 248)(105, 233, 122, 250)(106, 234, 121, 249)(110, 238, 124, 252)(114, 242, 126, 254)(115, 243, 125, 253)(119, 247, 127, 255)(123, 251, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 297)(278, 286)(279, 301)(280, 303)(282, 307)(283, 309)(284, 311)(288, 312)(290, 305)(291, 304)(292, 322)(294, 320)(296, 327)(298, 302)(299, 332)(300, 334)(306, 343)(308, 341)(310, 348)(313, 353)(314, 355)(315, 357)(316, 351)(317, 359)(318, 360)(319, 340)(321, 354)(323, 358)(324, 345)(325, 347)(326, 346)(328, 349)(329, 350)(330, 337)(331, 362)(333, 342)(335, 365)(336, 366)(338, 368)(339, 369)(344, 367)(352, 371)(356, 374)(361, 370)(363, 376)(364, 378)(372, 380)(373, 382)(375, 379)(377, 383)(381, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 420)(405, 426)(406, 428)(408, 432)(409, 433)(412, 434)(413, 440)(414, 442)(415, 443)(416, 445)(417, 446)(421, 451)(422, 453)(423, 444)(424, 456)(425, 457)(427, 461)(429, 464)(430, 466)(431, 467)(435, 472)(436, 474)(437, 465)(438, 477)(439, 478)(441, 482)(447, 480)(448, 489)(449, 476)(450, 490)(452, 481)(454, 483)(455, 470)(458, 492)(459, 468)(460, 473)(462, 475)(463, 486)(469, 498)(471, 499)(479, 501)(484, 495)(485, 503)(487, 505)(488, 504)(491, 502)(493, 500)(494, 507)(496, 509)(497, 508)(506, 511)(510, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1887
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1882 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 45, 173, 19, 147)(9, 137, 26, 154, 61, 189, 27, 155)(12, 140, 31, 159, 68, 196, 32, 160)(13, 141, 33, 161, 69, 197, 34, 162)(15, 143, 37, 165, 74, 202, 38, 166)(16, 144, 39, 167, 75, 203, 40, 168)(17, 145, 42, 170, 80, 208, 43, 171)(20, 148, 47, 175, 87, 215, 48, 176)(21, 149, 49, 177, 88, 216, 50, 178)(23, 151, 53, 181, 93, 221, 54, 182)(24, 152, 55, 183, 94, 222, 56, 184)(25, 153, 58, 186, 99, 227, 59, 187)(28, 156, 63, 191, 106, 234, 64, 192)(30, 158, 66, 194, 109, 237, 67, 195)(35, 163, 70, 198, 110, 238, 71, 199)(36, 164, 72, 200, 111, 239, 73, 201)(41, 169, 77, 205, 116, 244, 78, 206)(44, 172, 82, 210, 123, 251, 83, 211)(46, 174, 85, 213, 126, 254, 86, 214)(51, 179, 89, 217, 127, 255, 90, 218)(52, 180, 91, 219, 128, 256, 92, 220)(57, 185, 96, 224, 120, 248, 97, 225)(60, 188, 101, 229, 115, 243, 102, 230)(62, 190, 104, 232, 117, 245, 105, 233)(65, 193, 107, 235, 112, 240, 108, 236)(76, 204, 113, 241, 103, 231, 114, 242)(79, 207, 118, 246, 98, 226, 119, 247)(81, 209, 121, 249, 100, 228, 122, 250)(84, 212, 124, 252, 95, 223, 125, 253)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 291)(272, 274)(278, 307)(281, 313)(282, 316)(283, 318)(284, 315)(285, 321)(286, 314)(287, 320)(288, 323)(289, 305)(290, 311)(292, 317)(293, 319)(294, 322)(295, 306)(296, 312)(297, 332)(298, 335)(299, 337)(300, 334)(301, 340)(302, 333)(303, 339)(304, 342)(308, 336)(309, 338)(310, 341)(324, 345)(325, 348)(326, 343)(327, 349)(328, 350)(329, 344)(330, 346)(331, 347)(351, 384)(352, 379)(353, 382)(354, 380)(355, 372)(356, 381)(357, 374)(358, 377)(359, 376)(360, 375)(361, 378)(362, 369)(363, 371)(364, 373)(365, 370)(366, 383)(367, 368)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 420)(399, 410)(401, 425)(402, 428)(403, 430)(404, 427)(406, 436)(407, 426)(413, 435)(415, 439)(416, 433)(417, 432)(418, 438)(419, 429)(421, 440)(422, 434)(423, 431)(424, 437)(441, 479)(442, 482)(443, 484)(444, 481)(445, 487)(446, 480)(447, 486)(448, 489)(449, 483)(450, 485)(451, 488)(452, 492)(453, 473)(454, 472)(455, 478)(456, 490)(457, 493)(458, 491)(459, 474)(460, 496)(461, 499)(462, 501)(463, 498)(464, 504)(465, 497)(466, 503)(467, 506)(468, 500)(469, 502)(470, 505)(471, 509)(475, 507)(476, 510)(477, 508)(494, 512)(495, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1884
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1883 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3 * Y2 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 45, 173, 19, 147)(9, 137, 26, 154, 61, 189, 27, 155)(12, 140, 31, 159, 68, 196, 32, 160)(13, 141, 33, 161, 69, 197, 34, 162)(15, 143, 37, 165, 74, 202, 38, 166)(16, 144, 39, 167, 75, 203, 40, 168)(17, 145, 42, 170, 80, 208, 43, 171)(20, 148, 47, 175, 87, 215, 48, 176)(21, 149, 49, 177, 88, 216, 50, 178)(23, 151, 53, 181, 93, 221, 54, 182)(24, 152, 55, 183, 94, 222, 56, 184)(25, 153, 58, 186, 99, 227, 59, 187)(28, 156, 63, 191, 106, 234, 64, 192)(30, 158, 66, 194, 109, 237, 67, 195)(35, 163, 70, 198, 110, 238, 71, 199)(36, 164, 72, 200, 111, 239, 73, 201)(41, 169, 77, 205, 116, 244, 78, 206)(44, 172, 82, 210, 123, 251, 83, 211)(46, 174, 85, 213, 126, 254, 86, 214)(51, 179, 89, 217, 127, 255, 90, 218)(52, 180, 91, 219, 128, 256, 92, 220)(57, 185, 96, 224, 120, 248, 97, 225)(60, 188, 101, 229, 115, 243, 102, 230)(62, 190, 104, 232, 117, 245, 105, 233)(65, 193, 107, 235, 112, 240, 108, 236)(76, 204, 113, 241, 103, 231, 114, 242)(79, 207, 118, 246, 98, 226, 119, 247)(81, 209, 121, 249, 100, 228, 122, 250)(84, 212, 124, 252, 95, 223, 125, 253)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 291)(272, 274)(278, 307)(281, 313)(282, 316)(283, 318)(284, 315)(285, 321)(286, 314)(287, 322)(288, 319)(289, 312)(290, 306)(292, 317)(293, 323)(294, 320)(295, 311)(296, 305)(297, 332)(298, 335)(299, 337)(300, 334)(301, 340)(302, 333)(303, 341)(304, 338)(308, 336)(309, 342)(310, 339)(324, 345)(325, 348)(326, 343)(327, 349)(328, 350)(329, 344)(330, 346)(331, 347)(351, 384)(352, 379)(353, 382)(354, 380)(355, 372)(356, 381)(357, 378)(358, 375)(359, 376)(360, 377)(361, 374)(362, 369)(363, 371)(364, 373)(365, 370)(366, 383)(367, 368)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 420)(399, 410)(401, 425)(402, 428)(403, 430)(404, 427)(406, 436)(407, 426)(413, 435)(415, 434)(416, 440)(417, 437)(418, 431)(419, 429)(421, 433)(422, 439)(423, 438)(424, 432)(441, 479)(442, 482)(443, 484)(444, 481)(445, 487)(446, 480)(447, 488)(448, 485)(449, 483)(450, 489)(451, 486)(452, 492)(453, 473)(454, 472)(455, 478)(456, 490)(457, 493)(458, 491)(459, 474)(460, 496)(461, 499)(462, 501)(463, 498)(464, 504)(465, 497)(466, 505)(467, 502)(468, 500)(469, 506)(470, 503)(471, 509)(475, 507)(476, 510)(477, 508)(494, 512)(495, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1885
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1884 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2, Y2 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2, (Y1 * Y3 * Y2)^4 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 44, 172, 300, 428)(23, 151, 279, 407, 48, 176, 304, 432)(25, 153, 281, 409, 52, 180, 308, 436)(26, 154, 282, 410, 54, 182, 310, 438)(27, 155, 283, 411, 56, 184, 312, 440)(29, 157, 285, 413, 60, 188, 316, 444)(31, 159, 287, 415, 64, 192, 320, 448)(33, 161, 289, 417, 67, 195, 323, 451)(34, 162, 290, 418, 62, 190, 318, 446)(35, 163, 291, 419, 68, 196, 324, 452)(37, 165, 293, 421, 71, 199, 327, 455)(39, 167, 295, 423, 73, 201, 329, 457)(41, 169, 297, 425, 59, 187, 315, 443)(42, 170, 298, 426, 77, 205, 333, 461)(43, 171, 299, 427, 57, 185, 313, 441)(45, 173, 301, 429, 80, 208, 336, 464)(46, 174, 302, 430, 50, 178, 306, 434)(47, 175, 303, 431, 83, 211, 339, 467)(49, 177, 305, 433, 86, 214, 342, 470)(51, 179, 307, 435, 87, 215, 343, 471)(53, 181, 309, 437, 90, 218, 346, 474)(55, 183, 311, 439, 92, 220, 348, 476)(58, 186, 314, 442, 96, 224, 352, 480)(61, 189, 317, 445, 99, 227, 355, 483)(63, 191, 319, 447, 102, 230, 358, 486)(65, 193, 321, 449, 105, 233, 361, 489)(66, 194, 322, 450, 94, 222, 350, 478)(69, 197, 325, 453, 108, 236, 364, 492)(70, 198, 326, 454, 95, 223, 351, 479)(72, 200, 328, 456, 109, 237, 365, 493)(74, 202, 330, 458, 110, 238, 366, 494)(75, 203, 331, 459, 85, 213, 341, 469)(76, 204, 332, 460, 89, 217, 345, 473)(78, 206, 334, 462, 104, 232, 360, 488)(79, 207, 335, 463, 112, 240, 368, 496)(81, 209, 337, 465, 106, 234, 362, 490)(82, 210, 338, 466, 115, 243, 371, 499)(84, 212, 340, 468, 118, 246, 374, 502)(88, 216, 344, 472, 121, 249, 377, 505)(91, 219, 347, 475, 122, 250, 378, 506)(93, 221, 349, 477, 123, 251, 379, 507)(97, 225, 353, 481, 117, 245, 373, 501)(98, 226, 354, 482, 125, 253, 381, 509)(100, 228, 356, 484, 119, 247, 375, 503)(101, 229, 357, 485, 124, 252, 380, 508)(103, 231, 359, 487, 120, 248, 376, 504)(107, 235, 363, 491, 116, 244, 372, 500)(111, 239, 367, 495, 114, 242, 370, 498)(113, 241, 369, 497, 127, 255, 383, 511)(126, 254, 382, 510, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 175)(24, 177)(25, 140)(26, 181)(27, 183)(28, 185)(29, 142)(30, 189)(31, 143)(32, 187)(33, 144)(34, 179)(35, 178)(36, 180)(37, 146)(38, 200)(39, 147)(40, 202)(41, 148)(42, 186)(43, 176)(44, 206)(45, 150)(46, 209)(47, 151)(48, 171)(49, 152)(50, 163)(51, 162)(52, 164)(53, 154)(54, 219)(55, 155)(56, 221)(57, 156)(58, 170)(59, 160)(60, 225)(61, 158)(62, 228)(63, 229)(64, 231)(65, 232)(66, 234)(67, 223)(68, 226)(69, 235)(70, 230)(71, 218)(72, 166)(73, 220)(74, 168)(75, 222)(76, 214)(77, 239)(78, 172)(79, 215)(80, 238)(81, 174)(82, 242)(83, 244)(84, 245)(85, 247)(86, 204)(87, 207)(88, 248)(89, 243)(90, 199)(91, 182)(92, 201)(93, 184)(94, 203)(95, 195)(96, 252)(97, 188)(98, 196)(99, 251)(100, 190)(101, 191)(102, 198)(103, 192)(104, 193)(105, 246)(106, 194)(107, 197)(108, 254)(109, 253)(110, 208)(111, 205)(112, 250)(113, 249)(114, 210)(115, 217)(116, 211)(117, 212)(118, 233)(119, 213)(120, 216)(121, 241)(122, 240)(123, 227)(124, 224)(125, 237)(126, 236)(127, 256)(128, 255)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 426)(277, 427)(278, 430)(279, 395)(280, 434)(281, 435)(282, 396)(283, 397)(284, 442)(285, 443)(286, 446)(287, 447)(288, 449)(289, 450)(290, 400)(291, 401)(292, 453)(293, 454)(294, 457)(295, 448)(296, 459)(297, 460)(298, 404)(299, 405)(300, 463)(301, 456)(302, 406)(303, 466)(304, 468)(305, 469)(306, 408)(307, 409)(308, 472)(309, 473)(310, 476)(311, 467)(312, 478)(313, 479)(314, 412)(315, 413)(316, 482)(317, 475)(318, 414)(319, 415)(320, 423)(321, 416)(322, 417)(323, 491)(324, 477)(325, 420)(326, 421)(327, 481)(328, 429)(329, 422)(330, 471)(331, 424)(332, 425)(333, 496)(334, 474)(335, 428)(336, 497)(337, 489)(338, 431)(339, 439)(340, 432)(341, 433)(342, 504)(343, 458)(344, 436)(345, 437)(346, 462)(347, 445)(348, 438)(349, 452)(350, 440)(351, 441)(352, 509)(353, 455)(354, 444)(355, 510)(356, 502)(357, 511)(358, 506)(359, 507)(360, 505)(361, 465)(362, 508)(363, 451)(364, 501)(365, 499)(366, 500)(367, 503)(368, 461)(369, 464)(370, 512)(371, 493)(372, 494)(373, 492)(374, 484)(375, 495)(376, 470)(377, 488)(378, 486)(379, 487)(380, 490)(381, 480)(382, 483)(383, 485)(384, 498)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1882
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1885 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y1 * Y3 * Y2)^2, (Y1 * Y2 * Y1 * Y3 * Y2)^2, (Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 43, 171, 299, 427)(23, 151, 279, 407, 46, 174, 302, 430)(25, 153, 281, 409, 50, 178, 306, 434)(26, 154, 282, 410, 52, 180, 308, 436)(27, 155, 283, 411, 54, 182, 310, 438)(29, 157, 285, 413, 57, 185, 313, 441)(31, 159, 287, 415, 60, 188, 316, 444)(33, 161, 289, 417, 63, 191, 319, 447)(34, 162, 290, 418, 64, 192, 320, 448)(35, 163, 291, 419, 65, 193, 321, 449)(37, 165, 293, 421, 68, 196, 324, 452)(39, 167, 295, 423, 70, 198, 326, 454)(41, 169, 297, 425, 74, 202, 330, 458)(42, 170, 298, 426, 75, 203, 331, 459)(44, 172, 300, 428, 79, 207, 335, 463)(45, 173, 301, 429, 81, 209, 337, 465)(47, 175, 303, 431, 84, 212, 340, 468)(48, 176, 304, 432, 85, 213, 341, 469)(49, 177, 305, 433, 86, 214, 342, 470)(51, 179, 307, 435, 89, 217, 345, 473)(53, 181, 309, 437, 91, 219, 347, 475)(55, 183, 311, 439, 95, 223, 351, 479)(56, 184, 312, 440, 96, 224, 352, 480)(58, 186, 314, 442, 100, 228, 356, 484)(59, 187, 315, 443, 102, 230, 358, 486)(61, 189, 317, 445, 90, 218, 346, 474)(62, 190, 318, 446, 93, 221, 349, 477)(66, 194, 322, 450, 107, 235, 363, 491)(67, 195, 323, 451, 94, 222, 350, 478)(69, 197, 325, 453, 82, 210, 338, 466)(71, 199, 327, 455, 108, 236, 364, 492)(72, 200, 328, 456, 83, 211, 339, 467)(73, 201, 329, 457, 88, 216, 344, 472)(76, 204, 332, 460, 103, 231, 359, 487)(77, 205, 333, 461, 109, 237, 365, 493)(78, 206, 334, 462, 104, 232, 360, 488)(80, 208, 336, 464, 111, 239, 367, 495)(87, 215, 343, 471, 116, 244, 372, 500)(92, 220, 348, 476, 117, 245, 373, 501)(97, 225, 353, 481, 112, 240, 368, 496)(98, 226, 354, 482, 118, 246, 374, 502)(99, 227, 355, 483, 113, 241, 369, 497)(101, 229, 357, 485, 120, 248, 376, 504)(105, 233, 361, 489, 122, 250, 378, 506)(106, 234, 362, 490, 121, 249, 377, 505)(110, 238, 366, 494, 124, 252, 380, 508)(114, 242, 370, 498, 126, 254, 382, 510)(115, 243, 371, 499, 125, 253, 381, 509)(119, 247, 375, 503, 127, 255, 383, 511)(123, 251, 379, 507, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 158)(23, 173)(24, 175)(25, 140)(26, 179)(27, 181)(28, 183)(29, 142)(30, 150)(31, 143)(32, 184)(33, 144)(34, 177)(35, 176)(36, 194)(37, 146)(38, 192)(39, 147)(40, 199)(41, 148)(42, 174)(43, 204)(44, 206)(45, 151)(46, 170)(47, 152)(48, 163)(49, 162)(50, 215)(51, 154)(52, 213)(53, 155)(54, 220)(55, 156)(56, 160)(57, 225)(58, 227)(59, 229)(60, 223)(61, 231)(62, 232)(63, 212)(64, 166)(65, 226)(66, 164)(67, 230)(68, 217)(69, 219)(70, 218)(71, 168)(72, 221)(73, 222)(74, 209)(75, 234)(76, 171)(77, 214)(78, 172)(79, 237)(80, 238)(81, 202)(82, 240)(83, 241)(84, 191)(85, 180)(86, 205)(87, 178)(88, 239)(89, 196)(90, 198)(91, 197)(92, 182)(93, 200)(94, 201)(95, 188)(96, 243)(97, 185)(98, 193)(99, 186)(100, 246)(101, 187)(102, 195)(103, 189)(104, 190)(105, 242)(106, 203)(107, 248)(108, 250)(109, 207)(110, 208)(111, 216)(112, 210)(113, 211)(114, 233)(115, 224)(116, 252)(117, 254)(118, 228)(119, 251)(120, 235)(121, 255)(122, 236)(123, 247)(124, 244)(125, 256)(126, 245)(127, 249)(128, 253)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 420)(277, 426)(278, 428)(279, 395)(280, 432)(281, 433)(282, 396)(283, 397)(284, 434)(285, 440)(286, 442)(287, 443)(288, 445)(289, 446)(290, 400)(291, 401)(292, 404)(293, 451)(294, 453)(295, 444)(296, 456)(297, 457)(298, 405)(299, 461)(300, 406)(301, 464)(302, 466)(303, 467)(304, 408)(305, 409)(306, 412)(307, 472)(308, 474)(309, 465)(310, 477)(311, 478)(312, 413)(313, 482)(314, 414)(315, 415)(316, 423)(317, 416)(318, 417)(319, 480)(320, 489)(321, 476)(322, 490)(323, 421)(324, 481)(325, 422)(326, 483)(327, 470)(328, 424)(329, 425)(330, 492)(331, 468)(332, 473)(333, 427)(334, 475)(335, 486)(336, 429)(337, 437)(338, 430)(339, 431)(340, 459)(341, 498)(342, 455)(343, 499)(344, 435)(345, 460)(346, 436)(347, 462)(348, 449)(349, 438)(350, 439)(351, 501)(352, 447)(353, 452)(354, 441)(355, 454)(356, 495)(357, 503)(358, 463)(359, 505)(360, 504)(361, 448)(362, 450)(363, 502)(364, 458)(365, 500)(366, 507)(367, 484)(368, 509)(369, 508)(370, 469)(371, 471)(372, 493)(373, 479)(374, 491)(375, 485)(376, 488)(377, 487)(378, 511)(379, 494)(380, 497)(381, 496)(382, 512)(383, 506)(384, 510)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1883
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1886 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5105>$ (small group id <256, 5105>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y2)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2, Y3^-1 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 45, 173, 301, 429, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 61, 189, 317, 445, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 68, 196, 324, 452, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 69, 197, 325, 453, 34, 162, 290, 418)(15, 143, 271, 399, 37, 165, 293, 421, 74, 202, 330, 458, 38, 166, 294, 422)(16, 144, 272, 400, 39, 167, 295, 423, 75, 203, 331, 459, 40, 168, 296, 424)(17, 145, 273, 401, 42, 170, 298, 426, 80, 208, 336, 464, 43, 171, 299, 427)(20, 148, 276, 404, 47, 175, 303, 431, 87, 215, 343, 471, 48, 176, 304, 432)(21, 149, 277, 405, 49, 177, 305, 433, 88, 216, 344, 472, 50, 178, 306, 434)(23, 151, 279, 407, 53, 181, 309, 437, 93, 221, 349, 477, 54, 182, 310, 438)(24, 152, 280, 408, 55, 183, 311, 439, 94, 222, 350, 478, 56, 184, 312, 440)(25, 153, 281, 409, 58, 186, 314, 442, 99, 227, 355, 483, 59, 187, 315, 443)(28, 156, 284, 412, 63, 191, 319, 447, 106, 234, 362, 490, 64, 192, 320, 448)(30, 158, 286, 414, 66, 194, 322, 450, 109, 237, 365, 493, 67, 195, 323, 451)(35, 163, 291, 419, 70, 198, 326, 454, 110, 238, 366, 494, 71, 199, 327, 455)(36, 164, 292, 420, 72, 200, 328, 456, 111, 239, 367, 495, 73, 201, 329, 457)(41, 169, 297, 425, 77, 205, 333, 461, 116, 244, 372, 500, 78, 206, 334, 462)(44, 172, 300, 428, 82, 210, 338, 466, 123, 251, 379, 507, 83, 211, 339, 467)(46, 174, 302, 430, 85, 213, 341, 469, 126, 254, 382, 510, 86, 214, 342, 470)(51, 179, 307, 435, 89, 217, 345, 473, 127, 255, 383, 511, 90, 218, 346, 474)(52, 180, 308, 436, 91, 219, 347, 475, 128, 256, 384, 512, 92, 220, 348, 476)(57, 185, 313, 441, 96, 224, 352, 480, 120, 248, 376, 504, 97, 225, 353, 481)(60, 188, 316, 444, 101, 229, 357, 485, 115, 243, 371, 499, 102, 230, 358, 486)(62, 190, 318, 446, 104, 232, 360, 488, 117, 245, 373, 501, 105, 233, 361, 489)(65, 193, 321, 449, 107, 235, 363, 491, 112, 240, 368, 496, 108, 236, 364, 492)(76, 204, 332, 460, 113, 241, 369, 497, 103, 231, 359, 487, 114, 242, 370, 498)(79, 207, 335, 463, 118, 246, 374, 502, 98, 226, 354, 482, 119, 247, 375, 503)(81, 209, 337, 465, 121, 249, 377, 505, 100, 228, 356, 484, 122, 250, 378, 506)(84, 212, 340, 468, 124, 252, 380, 508, 95, 223, 351, 479, 125, 253, 381, 509)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 163)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 179)(23, 136)(24, 138)(25, 185)(26, 188)(27, 190)(28, 187)(29, 193)(30, 186)(31, 192)(32, 195)(33, 177)(34, 183)(35, 142)(36, 189)(37, 191)(38, 194)(39, 178)(40, 184)(41, 204)(42, 207)(43, 209)(44, 206)(45, 212)(46, 205)(47, 211)(48, 214)(49, 161)(50, 167)(51, 150)(52, 208)(53, 210)(54, 213)(55, 162)(56, 168)(57, 153)(58, 158)(59, 156)(60, 154)(61, 164)(62, 155)(63, 165)(64, 159)(65, 157)(66, 166)(67, 160)(68, 217)(69, 220)(70, 215)(71, 221)(72, 222)(73, 216)(74, 218)(75, 219)(76, 169)(77, 174)(78, 172)(79, 170)(80, 180)(81, 171)(82, 181)(83, 175)(84, 173)(85, 182)(86, 176)(87, 198)(88, 201)(89, 196)(90, 202)(91, 203)(92, 197)(93, 199)(94, 200)(95, 256)(96, 251)(97, 254)(98, 252)(99, 244)(100, 253)(101, 246)(102, 249)(103, 248)(104, 247)(105, 250)(106, 241)(107, 243)(108, 245)(109, 242)(110, 255)(111, 240)(112, 239)(113, 234)(114, 237)(115, 235)(116, 227)(117, 236)(118, 229)(119, 232)(120, 231)(121, 230)(122, 233)(123, 224)(124, 226)(125, 228)(126, 225)(127, 238)(128, 223)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 420)(271, 410)(272, 389)(273, 425)(274, 428)(275, 430)(276, 427)(277, 391)(278, 436)(279, 426)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 435)(286, 395)(287, 439)(288, 433)(289, 432)(290, 438)(291, 429)(292, 398)(293, 440)(294, 434)(295, 431)(296, 437)(297, 401)(298, 407)(299, 404)(300, 402)(301, 419)(302, 403)(303, 423)(304, 417)(305, 416)(306, 422)(307, 413)(308, 406)(309, 424)(310, 418)(311, 415)(312, 421)(313, 479)(314, 482)(315, 484)(316, 481)(317, 487)(318, 480)(319, 486)(320, 489)(321, 483)(322, 485)(323, 488)(324, 492)(325, 473)(326, 472)(327, 478)(328, 490)(329, 493)(330, 491)(331, 474)(332, 496)(333, 499)(334, 501)(335, 498)(336, 504)(337, 497)(338, 503)(339, 506)(340, 500)(341, 502)(342, 505)(343, 509)(344, 454)(345, 453)(346, 459)(347, 507)(348, 510)(349, 508)(350, 455)(351, 441)(352, 446)(353, 444)(354, 442)(355, 449)(356, 443)(357, 450)(358, 447)(359, 445)(360, 451)(361, 448)(362, 456)(363, 458)(364, 452)(365, 457)(366, 512)(367, 511)(368, 460)(369, 465)(370, 463)(371, 461)(372, 468)(373, 462)(374, 469)(375, 466)(376, 464)(377, 470)(378, 467)(379, 475)(380, 477)(381, 471)(382, 476)(383, 495)(384, 494)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1880
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1887 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 5102>$ (small group id <256, 5102>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3 * Y2 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y3^-1 * Y2)^2, (Y3^-1 * Y1 * Y3 * Y2)^2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3 * Y2 * Y3^-2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 45, 173, 301, 429, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 61, 189, 317, 445, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 68, 196, 324, 452, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 69, 197, 325, 453, 34, 162, 290, 418)(15, 143, 271, 399, 37, 165, 293, 421, 74, 202, 330, 458, 38, 166, 294, 422)(16, 144, 272, 400, 39, 167, 295, 423, 75, 203, 331, 459, 40, 168, 296, 424)(17, 145, 273, 401, 42, 170, 298, 426, 80, 208, 336, 464, 43, 171, 299, 427)(20, 148, 276, 404, 47, 175, 303, 431, 87, 215, 343, 471, 48, 176, 304, 432)(21, 149, 277, 405, 49, 177, 305, 433, 88, 216, 344, 472, 50, 178, 306, 434)(23, 151, 279, 407, 53, 181, 309, 437, 93, 221, 349, 477, 54, 182, 310, 438)(24, 152, 280, 408, 55, 183, 311, 439, 94, 222, 350, 478, 56, 184, 312, 440)(25, 153, 281, 409, 58, 186, 314, 442, 99, 227, 355, 483, 59, 187, 315, 443)(28, 156, 284, 412, 63, 191, 319, 447, 106, 234, 362, 490, 64, 192, 320, 448)(30, 158, 286, 414, 66, 194, 322, 450, 109, 237, 365, 493, 67, 195, 323, 451)(35, 163, 291, 419, 70, 198, 326, 454, 110, 238, 366, 494, 71, 199, 327, 455)(36, 164, 292, 420, 72, 200, 328, 456, 111, 239, 367, 495, 73, 201, 329, 457)(41, 169, 297, 425, 77, 205, 333, 461, 116, 244, 372, 500, 78, 206, 334, 462)(44, 172, 300, 428, 82, 210, 338, 466, 123, 251, 379, 507, 83, 211, 339, 467)(46, 174, 302, 430, 85, 213, 341, 469, 126, 254, 382, 510, 86, 214, 342, 470)(51, 179, 307, 435, 89, 217, 345, 473, 127, 255, 383, 511, 90, 218, 346, 474)(52, 180, 308, 436, 91, 219, 347, 475, 128, 256, 384, 512, 92, 220, 348, 476)(57, 185, 313, 441, 96, 224, 352, 480, 120, 248, 376, 504, 97, 225, 353, 481)(60, 188, 316, 444, 101, 229, 357, 485, 115, 243, 371, 499, 102, 230, 358, 486)(62, 190, 318, 446, 104, 232, 360, 488, 117, 245, 373, 501, 105, 233, 361, 489)(65, 193, 321, 449, 107, 235, 363, 491, 112, 240, 368, 496, 108, 236, 364, 492)(76, 204, 332, 460, 113, 241, 369, 497, 103, 231, 359, 487, 114, 242, 370, 498)(79, 207, 335, 463, 118, 246, 374, 502, 98, 226, 354, 482, 119, 247, 375, 503)(81, 209, 337, 465, 121, 249, 377, 505, 100, 228, 356, 484, 122, 250, 378, 506)(84, 212, 340, 468, 124, 252, 380, 508, 95, 223, 351, 479, 125, 253, 381, 509)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 163)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 179)(23, 136)(24, 138)(25, 185)(26, 188)(27, 190)(28, 187)(29, 193)(30, 186)(31, 194)(32, 191)(33, 184)(34, 178)(35, 142)(36, 189)(37, 195)(38, 192)(39, 183)(40, 177)(41, 204)(42, 207)(43, 209)(44, 206)(45, 212)(46, 205)(47, 213)(48, 210)(49, 168)(50, 162)(51, 150)(52, 208)(53, 214)(54, 211)(55, 167)(56, 161)(57, 153)(58, 158)(59, 156)(60, 154)(61, 164)(62, 155)(63, 160)(64, 166)(65, 157)(66, 159)(67, 165)(68, 217)(69, 220)(70, 215)(71, 221)(72, 222)(73, 216)(74, 218)(75, 219)(76, 169)(77, 174)(78, 172)(79, 170)(80, 180)(81, 171)(82, 176)(83, 182)(84, 173)(85, 175)(86, 181)(87, 198)(88, 201)(89, 196)(90, 202)(91, 203)(92, 197)(93, 199)(94, 200)(95, 256)(96, 251)(97, 254)(98, 252)(99, 244)(100, 253)(101, 250)(102, 247)(103, 248)(104, 249)(105, 246)(106, 241)(107, 243)(108, 245)(109, 242)(110, 255)(111, 240)(112, 239)(113, 234)(114, 237)(115, 235)(116, 227)(117, 236)(118, 233)(119, 230)(120, 231)(121, 232)(122, 229)(123, 224)(124, 226)(125, 228)(126, 225)(127, 238)(128, 223)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 420)(271, 410)(272, 389)(273, 425)(274, 428)(275, 430)(276, 427)(277, 391)(278, 436)(279, 426)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 435)(286, 395)(287, 434)(288, 440)(289, 437)(290, 431)(291, 429)(292, 398)(293, 433)(294, 439)(295, 438)(296, 432)(297, 401)(298, 407)(299, 404)(300, 402)(301, 419)(302, 403)(303, 418)(304, 424)(305, 421)(306, 415)(307, 413)(308, 406)(309, 417)(310, 423)(311, 422)(312, 416)(313, 479)(314, 482)(315, 484)(316, 481)(317, 487)(318, 480)(319, 488)(320, 485)(321, 483)(322, 489)(323, 486)(324, 492)(325, 473)(326, 472)(327, 478)(328, 490)(329, 493)(330, 491)(331, 474)(332, 496)(333, 499)(334, 501)(335, 498)(336, 504)(337, 497)(338, 505)(339, 502)(340, 500)(341, 506)(342, 503)(343, 509)(344, 454)(345, 453)(346, 459)(347, 507)(348, 510)(349, 508)(350, 455)(351, 441)(352, 446)(353, 444)(354, 442)(355, 449)(356, 443)(357, 448)(358, 451)(359, 445)(360, 447)(361, 450)(362, 456)(363, 458)(364, 452)(365, 457)(366, 512)(367, 511)(368, 460)(369, 465)(370, 463)(371, 461)(372, 468)(373, 462)(374, 467)(375, 470)(376, 464)(377, 466)(378, 469)(379, 475)(380, 477)(381, 471)(382, 476)(383, 495)(384, 494)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1881
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1888 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 26519>$ (small group id <256, 26519>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 37, 165)(23, 151, 40, 168)(25, 153, 44, 172)(27, 155, 32, 160)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 33, 161)(31, 159, 51, 179)(35, 163, 54, 182)(42, 170, 64, 192)(43, 171, 66, 194)(45, 173, 62, 190)(46, 174, 59, 187)(47, 175, 60, 188)(48, 176, 63, 191)(49, 177, 56, 184)(50, 178, 57, 185)(52, 180, 72, 200)(53, 181, 74, 202)(55, 183, 70, 198)(58, 186, 71, 199)(61, 189, 77, 205)(65, 193, 80, 208)(67, 195, 82, 210)(68, 196, 83, 211)(69, 197, 85, 213)(73, 201, 88, 216)(75, 203, 90, 218)(76, 204, 91, 219)(78, 206, 96, 224)(79, 207, 98, 226)(81, 209, 94, 222)(84, 212, 95, 223)(86, 214, 104, 232)(87, 215, 106, 234)(89, 217, 102, 230)(92, 220, 103, 231)(93, 221, 109, 237)(97, 225, 112, 240)(99, 227, 114, 242)(100, 228, 115, 243)(101, 229, 117, 245)(105, 233, 120, 248)(107, 235, 122, 250)(108, 236, 123, 251)(110, 238, 124, 252)(111, 239, 121, 249)(113, 241, 119, 247)(116, 244, 118, 246)(125, 253, 128, 256)(126, 254, 127, 255)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 301, 429)(282, 410, 304, 432)(284, 412, 306, 434)(285, 413, 305, 433)(288, 416, 309, 437)(289, 417, 308, 436)(290, 418, 311, 439)(292, 420, 314, 442)(294, 422, 316, 444)(295, 423, 315, 443)(297, 425, 317, 445)(300, 428, 321, 449)(302, 430, 324, 452)(303, 431, 323, 451)(307, 435, 325, 453)(310, 438, 329, 457)(312, 440, 332, 460)(313, 441, 331, 459)(318, 446, 335, 463)(319, 447, 334, 462)(320, 448, 337, 465)(322, 450, 340, 468)(326, 454, 343, 471)(327, 455, 342, 470)(328, 456, 345, 473)(330, 458, 348, 476)(333, 461, 349, 477)(336, 464, 353, 481)(338, 466, 356, 484)(339, 467, 355, 483)(341, 469, 357, 485)(344, 472, 361, 489)(346, 474, 364, 492)(347, 475, 363, 491)(350, 478, 367, 495)(351, 479, 366, 494)(352, 480, 369, 497)(354, 482, 372, 500)(358, 486, 375, 503)(359, 487, 374, 502)(360, 488, 377, 505)(362, 490, 380, 508)(365, 493, 376, 504)(368, 496, 373, 501)(370, 498, 382, 510)(371, 499, 381, 509)(378, 506, 384, 512)(379, 507, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 300)(23, 265)(24, 302)(25, 267)(26, 303)(27, 305)(28, 270)(29, 268)(30, 306)(31, 308)(32, 310)(33, 271)(34, 312)(35, 273)(36, 313)(37, 315)(38, 276)(39, 274)(40, 316)(41, 318)(42, 321)(43, 277)(44, 279)(45, 323)(46, 282)(47, 280)(48, 324)(49, 286)(50, 283)(51, 326)(52, 329)(53, 287)(54, 289)(55, 331)(56, 292)(57, 290)(58, 332)(59, 296)(60, 293)(61, 334)(62, 336)(63, 297)(64, 338)(65, 299)(66, 339)(67, 304)(68, 301)(69, 342)(70, 344)(71, 307)(72, 346)(73, 309)(74, 347)(75, 314)(76, 311)(77, 350)(78, 353)(79, 317)(80, 319)(81, 355)(82, 322)(83, 320)(84, 356)(85, 358)(86, 361)(87, 325)(88, 327)(89, 363)(90, 330)(91, 328)(92, 364)(93, 366)(94, 368)(95, 333)(96, 370)(97, 335)(98, 371)(99, 340)(100, 337)(101, 374)(102, 376)(103, 341)(104, 378)(105, 343)(106, 379)(107, 348)(108, 345)(109, 375)(110, 373)(111, 349)(112, 351)(113, 381)(114, 354)(115, 352)(116, 382)(117, 367)(118, 365)(119, 357)(120, 359)(121, 383)(122, 362)(123, 360)(124, 384)(125, 372)(126, 369)(127, 380)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1891
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1889 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 26516>$ (small group id <256, 26516>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^4, Y3 * Y1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 22, 150)(18, 146, 30, 158)(19, 147, 32, 160)(21, 149, 35, 163)(24, 152, 39, 167)(26, 154, 42, 170)(27, 155, 41, 169)(29, 157, 46, 174)(31, 159, 49, 177)(33, 161, 52, 180)(34, 162, 51, 179)(36, 164, 56, 184)(37, 165, 57, 185)(38, 166, 59, 187)(40, 168, 62, 190)(43, 171, 66, 194)(44, 172, 67, 195)(45, 173, 69, 197)(47, 175, 72, 200)(48, 176, 74, 202)(50, 178, 77, 205)(53, 181, 81, 209)(54, 182, 82, 210)(55, 183, 84, 212)(58, 186, 89, 217)(60, 188, 90, 218)(61, 189, 85, 213)(63, 191, 78, 206)(64, 192, 94, 222)(65, 193, 83, 211)(68, 196, 80, 208)(70, 198, 76, 204)(71, 199, 92, 220)(73, 201, 100, 228)(75, 203, 101, 229)(79, 207, 105, 233)(86, 214, 103, 231)(87, 215, 109, 237)(88, 216, 108, 236)(91, 219, 115, 243)(93, 221, 104, 232)(95, 223, 114, 242)(96, 224, 112, 240)(97, 225, 99, 227)(98, 226, 117, 245)(102, 230, 123, 251)(106, 234, 122, 250)(107, 235, 120, 248)(110, 238, 119, 247)(111, 239, 118, 246)(113, 241, 124, 252)(116, 244, 121, 249)(125, 253, 128, 256)(126, 254, 127, 255)(257, 385, 259, 387)(258, 386, 261, 389)(260, 388, 264, 392)(262, 390, 267, 395)(263, 391, 269, 397)(265, 393, 272, 400)(266, 394, 274, 402)(268, 396, 277, 405)(270, 398, 280, 408)(271, 399, 282, 410)(273, 401, 285, 413)(275, 403, 287, 415)(276, 404, 289, 417)(278, 406, 292, 420)(279, 407, 293, 421)(281, 409, 296, 424)(283, 411, 299, 427)(284, 412, 300, 428)(286, 414, 303, 431)(288, 416, 306, 434)(290, 418, 309, 437)(291, 419, 310, 438)(294, 422, 314, 442)(295, 423, 316, 444)(297, 425, 319, 447)(298, 426, 320, 448)(301, 429, 324, 452)(302, 430, 326, 454)(304, 432, 329, 457)(305, 433, 331, 459)(307, 435, 334, 462)(308, 436, 335, 463)(311, 439, 339, 467)(312, 440, 341, 469)(313, 441, 343, 471)(315, 443, 342, 470)(317, 445, 347, 475)(318, 446, 348, 476)(321, 449, 351, 479)(322, 450, 352, 480)(323, 451, 353, 481)(325, 453, 349, 477)(327, 455, 330, 458)(328, 456, 354, 482)(332, 460, 358, 486)(333, 461, 359, 487)(336, 464, 362, 490)(337, 465, 363, 491)(338, 466, 364, 492)(340, 468, 360, 488)(344, 472, 366, 494)(345, 473, 367, 495)(346, 474, 369, 497)(350, 478, 372, 500)(355, 483, 374, 502)(356, 484, 375, 503)(357, 485, 377, 505)(361, 489, 380, 508)(365, 493, 378, 506)(368, 496, 381, 509)(370, 498, 373, 501)(371, 499, 382, 510)(376, 504, 383, 511)(379, 507, 384, 512)
	L = (1, 260)(2, 262)(3, 264)(4, 257)(5, 267)(6, 258)(7, 270)(8, 259)(9, 273)(10, 275)(11, 261)(12, 278)(13, 280)(14, 263)(15, 283)(16, 285)(17, 265)(18, 287)(19, 266)(20, 290)(21, 292)(22, 268)(23, 294)(24, 269)(25, 297)(26, 299)(27, 271)(28, 301)(29, 272)(30, 304)(31, 274)(32, 307)(33, 309)(34, 276)(35, 311)(36, 277)(37, 314)(38, 279)(39, 317)(40, 319)(41, 281)(42, 321)(43, 282)(44, 324)(45, 284)(46, 327)(47, 329)(48, 286)(49, 332)(50, 334)(51, 288)(52, 336)(53, 289)(54, 339)(55, 291)(56, 342)(57, 344)(58, 293)(59, 341)(60, 347)(61, 295)(62, 349)(63, 296)(64, 351)(65, 298)(66, 338)(67, 337)(68, 300)(69, 348)(70, 330)(71, 302)(72, 355)(73, 303)(74, 326)(75, 358)(76, 305)(77, 360)(78, 306)(79, 362)(80, 308)(81, 323)(82, 322)(83, 310)(84, 359)(85, 315)(86, 312)(87, 366)(88, 313)(89, 368)(90, 370)(91, 316)(92, 325)(93, 318)(94, 371)(95, 320)(96, 364)(97, 363)(98, 374)(99, 328)(100, 376)(101, 378)(102, 331)(103, 340)(104, 333)(105, 379)(106, 335)(107, 353)(108, 352)(109, 377)(110, 343)(111, 381)(112, 345)(113, 373)(114, 346)(115, 350)(116, 382)(117, 369)(118, 354)(119, 383)(120, 356)(121, 365)(122, 357)(123, 361)(124, 384)(125, 367)(126, 372)(127, 375)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1890
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1890 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 26516>$ (small group id <256, 26516>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (Y2 * Y3^-1 * Y1)^2, (Y2 * Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-2, (Y1 * Y3^-3)^2, (Y3 * Y1^-1)^4, (Y1^-1 * Y3^-1 * Y2 * Y1^-1)^2, Y3 * Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y1^-1 * Y2 * Y1^-1)^2, Y3^-2 * Y2 * Y1 * Y3^-4 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 35, 163, 57, 185, 37, 165)(14, 142, 40, 168, 59, 187, 28, 156)(16, 144, 45, 173, 60, 188, 47, 175)(18, 146, 41, 169, 88, 216, 50, 178)(19, 147, 24, 152, 62, 190, 52, 180)(21, 149, 54, 182, 63, 191, 38, 166)(22, 150, 56, 184, 99, 227, 58, 186)(26, 154, 66, 194, 43, 171, 68, 196)(29, 157, 71, 199, 51, 179, 73, 201)(32, 160, 77, 205, 44, 172, 69, 197)(34, 162, 80, 208, 100, 228, 74, 202)(36, 164, 84, 212, 113, 241, 86, 214)(39, 167, 79, 207, 102, 230, 70, 198)(46, 174, 94, 222, 112, 240, 78, 206)(48, 176, 89, 217, 104, 232, 65, 193)(49, 177, 75, 203, 53, 181, 76, 204)(55, 183, 97, 225, 114, 242, 87, 215)(67, 195, 109, 237, 96, 224, 111, 239)(72, 200, 115, 243, 82, 210, 105, 233)(81, 209, 101, 229, 83, 211, 117, 245)(85, 213, 122, 250, 124, 252, 119, 247)(90, 218, 108, 236, 92, 220, 106, 234)(91, 219, 103, 231, 93, 221, 107, 235)(95, 223, 118, 246, 125, 253, 120, 248)(98, 226, 116, 244, 126, 254, 123, 251)(110, 238, 128, 256, 121, 249, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 285, 413)(269, 397, 294, 422)(271, 399, 299, 427)(272, 400, 297, 425)(273, 401, 304, 432)(275, 403, 296, 424)(276, 404, 295, 423)(277, 405, 292, 420)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 316, 444)(283, 411, 325, 453)(286, 414, 330, 458)(287, 415, 326, 454)(288, 416, 323, 451)(289, 417, 331, 459)(290, 418, 328, 456)(291, 419, 338, 466)(293, 421, 343, 471)(298, 426, 335, 463)(300, 428, 346, 474)(301, 429, 348, 476)(302, 430, 345, 473)(303, 431, 352, 480)(305, 433, 344, 472)(306, 434, 333, 461)(307, 435, 312, 440)(308, 436, 336, 464)(309, 437, 320, 448)(310, 438, 314, 442)(311, 439, 341, 469)(317, 445, 360, 488)(318, 446, 358, 486)(319, 447, 357, 485)(321, 449, 359, 487)(322, 450, 363, 491)(324, 452, 368, 496)(327, 455, 369, 497)(329, 457, 373, 501)(332, 460, 355, 483)(334, 462, 366, 494)(337, 465, 372, 500)(339, 467, 376, 504)(340, 468, 374, 502)(342, 470, 379, 507)(347, 475, 377, 505)(349, 477, 375, 503)(350, 478, 378, 506)(351, 479, 367, 495)(353, 481, 356, 484)(354, 482, 364, 492)(361, 489, 380, 508)(362, 490, 381, 509)(365, 493, 382, 510)(370, 498, 383, 511)(371, 499, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 284)(12, 292)(13, 295)(14, 259)(15, 261)(16, 302)(17, 305)(18, 299)(19, 307)(20, 294)(21, 262)(22, 313)(23, 316)(24, 263)(25, 315)(26, 323)(27, 326)(28, 264)(29, 328)(30, 331)(31, 325)(32, 266)(33, 330)(34, 267)(35, 269)(36, 341)(37, 314)(38, 338)(39, 320)(40, 274)(41, 270)(42, 333)(43, 346)(44, 271)(45, 273)(46, 351)(47, 317)(48, 348)(49, 318)(50, 335)(51, 353)(52, 332)(53, 276)(54, 343)(55, 277)(56, 296)(57, 357)(58, 358)(59, 278)(60, 359)(61, 309)(62, 310)(63, 280)(64, 360)(65, 281)(66, 283)(67, 366)(68, 306)(69, 363)(70, 355)(71, 286)(72, 372)(73, 308)(74, 369)(75, 298)(76, 287)(77, 368)(78, 288)(79, 289)(80, 373)(81, 290)(82, 376)(83, 291)(84, 293)(85, 364)(86, 356)(87, 374)(88, 304)(89, 297)(90, 377)(91, 300)(92, 375)(93, 301)(94, 303)(95, 371)(96, 378)(97, 379)(98, 311)(99, 336)(100, 312)(101, 380)(102, 344)(103, 381)(104, 352)(105, 319)(106, 321)(107, 354)(108, 322)(109, 324)(110, 340)(111, 345)(112, 382)(113, 383)(114, 327)(115, 329)(116, 349)(117, 384)(118, 334)(119, 337)(120, 347)(121, 339)(122, 342)(123, 350)(124, 365)(125, 370)(126, 361)(127, 362)(128, 367)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1889
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1891 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 922>$ (small group id <128, 922>)
Aut   = $<256, 26519>$ (small group id <256, 26519>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y2 * Y3)^2, (Y2 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, (Y3 * Y2)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y1^-1 * R * Y2)^2, Y2 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3, Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y3^-2 * Y1, Y2 * Y1^-2 * Y3^-2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3 * Y1^2 * Y3^-1 * Y2 * Y1^-1, Y3^2 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-2 * Y3^-2, R * Y2 * Y3^-1 * Y1 * R * Y3^-1 * Y1^-1 * Y2, (Y3 * Y1^-1)^4, Y3^-4 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, Y2 * Y1 * Y3^-2 * Y1 * Y2 * Y3^2 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y2 * Y3^2 * Y1^-1 * Y3^-2 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 43, 171, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 65, 193, 27, 155)(10, 138, 31, 159, 62, 190, 23, 151)(12, 140, 37, 165, 58, 186, 39, 167)(14, 142, 42, 170, 60, 188, 35, 163)(16, 144, 46, 174, 61, 189, 48, 176)(18, 146, 51, 179, 82, 210, 52, 180)(19, 147, 24, 152, 63, 191, 53, 181)(21, 149, 34, 162, 64, 192, 54, 182)(22, 150, 57, 185, 100, 228, 59, 187)(26, 154, 69, 197, 44, 172, 71, 199)(28, 156, 72, 200, 41, 169, 67, 195)(29, 157, 73, 201, 40, 168, 75, 203)(32, 160, 66, 194, 45, 173, 78, 206)(36, 164, 83, 211, 101, 229, 76, 204)(38, 166, 87, 215, 112, 240, 89, 217)(47, 175, 94, 222, 106, 234, 80, 208)(49, 177, 97, 225, 104, 232, 68, 196)(50, 178, 77, 205, 55, 183, 79, 207)(56, 184, 85, 213, 113, 241, 81, 209)(70, 198, 109, 237, 96, 224, 111, 239)(74, 202, 114, 242, 98, 226, 105, 233)(84, 212, 102, 230, 86, 214, 116, 244)(88, 216, 122, 250, 124, 252, 110, 238)(90, 218, 108, 236, 92, 220, 107, 235)(91, 219, 103, 231, 93, 221, 117, 245)(95, 223, 118, 246, 125, 253, 123, 251)(99, 227, 115, 243, 126, 254, 119, 247)(120, 248, 128, 256, 121, 249, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 296, 424)(271, 399, 300, 428)(272, 400, 283, 411)(273, 401, 305, 433)(275, 403, 297, 425)(276, 404, 298, 426)(277, 405, 294, 422)(279, 407, 316, 444)(280, 408, 314, 442)(281, 409, 322, 450)(285, 413, 315, 443)(286, 414, 332, 460)(287, 415, 328, 456)(288, 416, 326, 454)(289, 417, 333, 461)(291, 419, 319, 447)(292, 420, 337, 465)(293, 421, 341, 469)(295, 423, 330, 458)(299, 427, 323, 451)(301, 429, 346, 474)(302, 430, 348, 476)(303, 431, 325, 453)(304, 432, 352, 480)(306, 434, 338, 466)(307, 435, 334, 462)(308, 436, 317, 445)(309, 437, 339, 467)(310, 438, 313, 441)(311, 439, 321, 449)(312, 440, 344, 472)(318, 446, 360, 488)(320, 448, 358, 486)(324, 452, 362, 490)(327, 455, 359, 487)(329, 457, 368, 496)(331, 459, 372, 500)(335, 463, 356, 484)(336, 464, 366, 494)(340, 468, 374, 502)(342, 470, 375, 503)(343, 471, 371, 499)(345, 473, 379, 507)(347, 475, 378, 506)(349, 477, 377, 505)(350, 478, 376, 504)(351, 479, 364, 492)(353, 481, 373, 501)(354, 482, 357, 485)(355, 483, 367, 495)(361, 489, 380, 508)(363, 491, 382, 510)(365, 493, 381, 509)(369, 497, 384, 512)(370, 498, 383, 511)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 294)(13, 297)(14, 259)(15, 261)(16, 303)(17, 306)(18, 300)(19, 296)(20, 310)(21, 262)(22, 314)(23, 317)(24, 263)(25, 323)(26, 326)(27, 270)(28, 264)(29, 330)(30, 333)(31, 334)(32, 266)(33, 332)(34, 337)(35, 338)(36, 267)(37, 269)(38, 344)(39, 315)(40, 341)(41, 274)(42, 321)(43, 322)(44, 346)(45, 271)(46, 273)(47, 351)(48, 318)(49, 348)(50, 319)(51, 328)(52, 316)(53, 335)(54, 354)(55, 276)(56, 277)(57, 298)(58, 358)(59, 284)(60, 278)(61, 359)(62, 311)(63, 290)(64, 280)(65, 360)(66, 362)(67, 289)(68, 281)(69, 283)(70, 366)(71, 308)(72, 356)(73, 286)(74, 371)(75, 309)(76, 368)(77, 299)(78, 373)(79, 287)(80, 288)(81, 374)(82, 305)(83, 372)(84, 292)(85, 375)(86, 293)(87, 295)(88, 367)(89, 357)(90, 378)(91, 301)(92, 377)(93, 302)(94, 304)(95, 370)(96, 376)(97, 307)(98, 379)(99, 312)(100, 339)(101, 313)(102, 380)(103, 381)(104, 352)(105, 320)(106, 382)(107, 324)(108, 325)(109, 327)(110, 340)(111, 353)(112, 384)(113, 329)(114, 331)(115, 349)(116, 383)(117, 355)(118, 336)(119, 350)(120, 342)(121, 343)(122, 345)(123, 347)(124, 363)(125, 369)(126, 361)(127, 364)(128, 365)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1888
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1892 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 753>$ (small group id <128, 753>)
Aut   = $<256, 16888>$ (small group id <256, 16888>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3 * Y1)^4, (Y1 * Y2)^4, (R * Y2 * Y1 * Y2)^2, (Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 31, 159)(22, 150, 43, 171)(23, 151, 45, 173)(25, 153, 44, 172)(27, 155, 50, 178)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 53, 181)(32, 160, 56, 184)(33, 161, 58, 186)(35, 163, 57, 185)(37, 165, 63, 191)(40, 168, 66, 194)(41, 169, 67, 195)(42, 170, 69, 197)(46, 174, 74, 202)(47, 175, 71, 199)(48, 176, 72, 200)(49, 177, 77, 205)(51, 179, 80, 208)(52, 180, 81, 209)(54, 182, 82, 210)(55, 183, 84, 212)(59, 187, 89, 217)(60, 188, 86, 214)(61, 189, 87, 215)(62, 190, 92, 220)(64, 192, 95, 223)(65, 193, 96, 224)(68, 196, 83, 211)(70, 198, 101, 229)(73, 201, 104, 232)(75, 203, 90, 218)(76, 204, 91, 219)(78, 206, 107, 235)(79, 207, 108, 236)(85, 213, 113, 241)(88, 216, 116, 244)(93, 221, 119, 247)(94, 222, 120, 248)(97, 225, 121, 249)(98, 226, 110, 238)(99, 227, 111, 239)(100, 228, 122, 250)(102, 230, 114, 242)(103, 231, 115, 243)(105, 233, 117, 245)(106, 234, 118, 246)(109, 237, 125, 253)(112, 240, 126, 254)(123, 251, 127, 255)(124, 252, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 298, 426)(279, 407, 297, 425)(280, 408, 302, 430)(282, 410, 305, 433)(284, 412, 308, 436)(285, 413, 307, 435)(288, 416, 311, 439)(289, 417, 310, 438)(290, 418, 315, 443)(292, 420, 318, 446)(294, 422, 321, 449)(295, 423, 320, 448)(299, 427, 326, 454)(300, 428, 324, 452)(301, 429, 329, 457)(303, 431, 332, 460)(304, 432, 331, 459)(306, 434, 333, 461)(309, 437, 330, 458)(312, 440, 341, 469)(313, 441, 339, 467)(314, 442, 344, 472)(316, 444, 347, 475)(317, 445, 346, 474)(319, 447, 348, 476)(322, 450, 345, 473)(323, 451, 353, 481)(325, 453, 356, 484)(327, 455, 359, 487)(328, 456, 358, 486)(334, 462, 361, 489)(335, 463, 362, 490)(336, 464, 355, 483)(337, 465, 354, 482)(338, 466, 365, 493)(340, 468, 368, 496)(342, 470, 371, 499)(343, 471, 370, 498)(349, 477, 373, 501)(350, 478, 374, 502)(351, 479, 367, 495)(352, 480, 366, 494)(357, 485, 378, 506)(360, 488, 377, 505)(363, 491, 379, 507)(364, 492, 380, 508)(369, 497, 382, 510)(372, 500, 381, 509)(375, 503, 383, 511)(376, 504, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 297)(22, 300)(23, 265)(24, 303)(25, 267)(26, 304)(27, 307)(28, 270)(29, 268)(30, 308)(31, 310)(32, 313)(33, 271)(34, 316)(35, 273)(36, 317)(37, 320)(38, 276)(39, 274)(40, 321)(41, 324)(42, 277)(43, 327)(44, 279)(45, 328)(46, 331)(47, 282)(48, 280)(49, 332)(50, 334)(51, 286)(52, 283)(53, 335)(54, 339)(55, 287)(56, 342)(57, 289)(58, 343)(59, 346)(60, 292)(61, 290)(62, 347)(63, 349)(64, 296)(65, 293)(66, 350)(67, 354)(68, 298)(69, 355)(70, 358)(71, 301)(72, 299)(73, 359)(74, 361)(75, 305)(76, 302)(77, 362)(78, 309)(79, 306)(80, 356)(81, 353)(82, 366)(83, 311)(84, 367)(85, 370)(86, 314)(87, 312)(88, 371)(89, 373)(90, 318)(91, 315)(92, 374)(93, 322)(94, 319)(95, 368)(96, 365)(97, 336)(98, 325)(99, 323)(100, 337)(101, 379)(102, 329)(103, 326)(104, 380)(105, 333)(106, 330)(107, 378)(108, 377)(109, 351)(110, 340)(111, 338)(112, 352)(113, 383)(114, 344)(115, 341)(116, 384)(117, 348)(118, 345)(119, 382)(120, 381)(121, 363)(122, 364)(123, 360)(124, 357)(125, 375)(126, 376)(127, 372)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1893
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1893 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 753>$ (small group id <128, 753>)
Aut   = $<256, 16888>$ (small group id <256, 16888>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3^-1)^2, Y3^4, (R * Y1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, (R * Y2 * Y1 * Y2)^2, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 27, 155, 13, 141)(4, 132, 15, 143, 20, 148, 10, 138)(6, 134, 18, 146, 21, 149, 9, 137)(8, 136, 22, 150, 45, 173, 24, 152)(12, 140, 31, 159, 54, 182, 30, 158)(14, 142, 34, 162, 55, 183, 29, 157)(16, 144, 26, 154, 44, 172, 36, 164)(17, 145, 37, 165, 67, 195, 38, 166)(19, 147, 40, 168, 70, 198, 42, 170)(23, 151, 49, 177, 79, 207, 48, 176)(25, 153, 52, 180, 80, 208, 47, 175)(28, 156, 56, 184, 71, 199, 51, 179)(32, 160, 59, 187, 90, 218, 61, 189)(33, 161, 62, 190, 76, 204, 46, 174)(35, 163, 64, 192, 97, 225, 66, 194)(39, 167, 69, 197, 100, 228, 68, 196)(41, 169, 74, 202, 102, 230, 73, 201)(43, 171, 77, 205, 103, 231, 72, 200)(50, 178, 83, 211, 112, 240, 85, 213)(53, 181, 78, 206, 101, 229, 88, 216)(57, 185, 86, 214, 104, 232, 92, 220)(58, 186, 84, 212, 105, 233, 91, 219)(60, 188, 82, 210, 107, 235, 95, 223)(63, 191, 81, 209, 109, 237, 96, 224)(65, 193, 99, 227, 120, 248, 98, 226)(75, 203, 106, 234, 123, 251, 108, 236)(87, 215, 115, 243, 121, 249, 111, 239)(89, 217, 117, 245, 122, 250, 110, 238)(93, 221, 118, 246, 124, 252, 114, 242)(94, 222, 119, 247, 125, 253, 113, 241)(116, 244, 126, 254, 128, 256, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 275, 403)(265, 393, 281, 409)(266, 394, 279, 407)(267, 395, 284, 412)(269, 397, 289, 417)(271, 399, 291, 419)(272, 400, 288, 416)(274, 402, 295, 423)(276, 404, 299, 427)(277, 405, 297, 425)(278, 406, 302, 430)(280, 408, 307, 435)(282, 410, 306, 434)(283, 411, 309, 437)(285, 413, 314, 442)(286, 414, 313, 441)(287, 415, 316, 444)(290, 418, 319, 447)(292, 420, 321, 449)(293, 421, 318, 446)(294, 422, 312, 440)(296, 424, 327, 455)(298, 426, 332, 460)(300, 428, 331, 459)(301, 429, 334, 462)(303, 431, 338, 466)(304, 432, 337, 465)(305, 433, 340, 468)(308, 436, 342, 470)(310, 438, 345, 473)(311, 439, 343, 471)(315, 443, 349, 477)(317, 445, 350, 478)(320, 448, 347, 475)(322, 450, 352, 480)(323, 451, 344, 472)(324, 452, 351, 479)(325, 453, 348, 476)(326, 454, 357, 485)(328, 456, 361, 489)(329, 457, 360, 488)(330, 458, 363, 491)(333, 461, 365, 493)(335, 463, 367, 495)(336, 464, 366, 494)(339, 467, 369, 497)(341, 469, 370, 498)(346, 474, 372, 500)(353, 481, 371, 499)(354, 482, 374, 502)(355, 483, 375, 503)(356, 484, 373, 501)(358, 486, 378, 506)(359, 487, 377, 505)(362, 490, 380, 508)(364, 492, 381, 509)(368, 496, 382, 510)(376, 504, 383, 511)(379, 507, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 276)(8, 279)(9, 282)(10, 258)(11, 285)(12, 288)(13, 290)(14, 259)(15, 261)(16, 262)(17, 291)(18, 292)(19, 297)(20, 300)(21, 263)(22, 303)(23, 306)(24, 308)(25, 264)(26, 266)(27, 310)(28, 313)(29, 315)(30, 267)(31, 269)(32, 270)(33, 316)(34, 317)(35, 321)(36, 271)(37, 324)(38, 325)(39, 273)(40, 328)(41, 331)(42, 333)(43, 275)(44, 277)(45, 335)(46, 337)(47, 339)(48, 278)(49, 280)(50, 281)(51, 340)(52, 341)(53, 343)(54, 346)(55, 283)(56, 347)(57, 349)(58, 284)(59, 286)(60, 350)(61, 287)(62, 352)(63, 289)(64, 294)(65, 295)(66, 293)(67, 353)(68, 355)(69, 354)(70, 358)(71, 360)(72, 362)(73, 296)(74, 298)(75, 299)(76, 363)(77, 364)(78, 366)(79, 368)(80, 301)(81, 369)(82, 302)(83, 304)(84, 370)(85, 305)(86, 307)(87, 372)(88, 373)(89, 309)(90, 311)(91, 374)(92, 312)(93, 314)(94, 319)(95, 318)(96, 375)(97, 376)(98, 320)(99, 322)(100, 323)(101, 377)(102, 379)(103, 326)(104, 380)(105, 327)(106, 329)(107, 381)(108, 330)(109, 332)(110, 382)(111, 334)(112, 336)(113, 338)(114, 342)(115, 344)(116, 345)(117, 383)(118, 348)(119, 351)(120, 356)(121, 384)(122, 357)(123, 359)(124, 361)(125, 365)(126, 367)(127, 371)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1892
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1894 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 738>$ (small group id <128, 738>)
Aut   = $<256, 16864>$ (small group id <256, 16864>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (Y1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3 * Y1 * Y3^-1)^2, (Y3 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 44, 172)(23, 151, 46, 174)(25, 153, 45, 173)(27, 155, 51, 179)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 54, 182)(31, 159, 55, 183)(32, 160, 58, 186)(33, 161, 60, 188)(35, 163, 59, 187)(37, 165, 65, 193)(40, 168, 68, 196)(42, 170, 64, 192)(43, 171, 61, 189)(47, 175, 57, 185)(48, 176, 74, 202)(49, 177, 75, 203)(50, 178, 56, 184)(52, 180, 80, 208)(53, 181, 81, 209)(62, 190, 87, 215)(63, 191, 88, 216)(66, 194, 93, 221)(67, 195, 94, 222)(69, 197, 95, 223)(70, 198, 96, 224)(71, 199, 98, 226)(72, 200, 97, 225)(73, 201, 99, 227)(76, 204, 102, 230)(77, 205, 103, 231)(78, 206, 104, 232)(79, 207, 105, 233)(82, 210, 108, 236)(83, 211, 109, 237)(84, 212, 111, 239)(85, 213, 110, 238)(86, 214, 112, 240)(89, 217, 115, 243)(90, 218, 116, 244)(91, 219, 117, 245)(92, 220, 118, 246)(100, 228, 113, 241)(101, 229, 114, 242)(106, 234, 122, 250)(107, 235, 123, 251)(119, 247, 126, 254)(120, 248, 127, 255)(121, 249, 125, 253)(124, 252, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 303, 431)(282, 410, 306, 434)(284, 412, 309, 437)(285, 413, 308, 436)(288, 416, 313, 441)(289, 417, 312, 440)(290, 418, 317, 445)(292, 420, 320, 448)(294, 422, 323, 451)(295, 423, 322, 450)(297, 425, 325, 453)(300, 428, 329, 457)(301, 429, 328, 456)(302, 430, 332, 460)(304, 432, 334, 462)(305, 433, 333, 461)(307, 435, 326, 454)(310, 438, 327, 455)(311, 439, 338, 466)(314, 442, 342, 470)(315, 443, 341, 469)(316, 444, 345, 473)(318, 446, 347, 475)(319, 447, 346, 474)(321, 449, 339, 467)(324, 452, 340, 468)(330, 458, 357, 485)(331, 459, 356, 484)(335, 463, 353, 481)(336, 464, 359, 487)(337, 465, 360, 488)(343, 471, 370, 498)(344, 472, 369, 497)(348, 476, 366, 494)(349, 477, 372, 500)(350, 478, 373, 501)(351, 479, 377, 505)(352, 480, 376, 504)(354, 482, 375, 503)(355, 483, 378, 506)(358, 486, 379, 507)(361, 489, 380, 508)(362, 490, 367, 495)(363, 491, 365, 493)(364, 492, 381, 509)(368, 496, 382, 510)(371, 499, 383, 511)(374, 502, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 301)(23, 265)(24, 304)(25, 267)(26, 305)(27, 308)(28, 270)(29, 268)(30, 309)(31, 312)(32, 315)(33, 271)(34, 318)(35, 273)(36, 319)(37, 322)(38, 276)(39, 274)(40, 323)(41, 326)(42, 328)(43, 277)(44, 330)(45, 279)(46, 331)(47, 333)(48, 282)(49, 280)(50, 334)(51, 325)(52, 286)(53, 283)(54, 335)(55, 339)(56, 341)(57, 287)(58, 343)(59, 289)(60, 344)(61, 346)(62, 292)(63, 290)(64, 347)(65, 338)(66, 296)(67, 293)(68, 348)(69, 310)(70, 353)(71, 297)(72, 299)(73, 356)(74, 302)(75, 300)(76, 357)(77, 306)(78, 303)(79, 307)(80, 362)(81, 363)(82, 324)(83, 366)(84, 311)(85, 313)(86, 369)(87, 316)(88, 314)(89, 370)(90, 320)(91, 317)(92, 321)(93, 375)(94, 376)(95, 378)(96, 373)(97, 327)(98, 372)(99, 377)(100, 332)(101, 329)(102, 380)(103, 365)(104, 367)(105, 379)(106, 337)(107, 336)(108, 382)(109, 360)(110, 340)(111, 359)(112, 381)(113, 345)(114, 342)(115, 384)(116, 352)(117, 354)(118, 383)(119, 350)(120, 349)(121, 358)(122, 361)(123, 351)(124, 355)(125, 371)(126, 374)(127, 364)(128, 368)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1895
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1895 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 738>$ (small group id <128, 738>)
Aut   = $<256, 16864>$ (small group id <256, 16864>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-2, Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y3 * Y1^-1 * Y2 * Y3^3 * Y2 * Y1^-1, (R * Y2 * Y1^-1 * Y2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 44, 172, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 37, 165, 57, 185, 39, 167)(14, 142, 42, 170, 59, 187, 35, 163)(16, 144, 29, 157, 60, 188, 48, 176)(18, 146, 51, 179, 96, 224, 52, 180)(19, 147, 24, 152, 62, 190, 47, 175)(21, 149, 32, 160, 63, 191, 46, 174)(22, 150, 56, 184, 98, 226, 58, 186)(26, 154, 68, 196, 45, 173, 70, 198)(28, 156, 73, 201, 53, 181, 66, 194)(34, 162, 65, 193, 99, 227, 81, 209)(36, 164, 84, 212, 100, 228, 75, 203)(38, 166, 83, 211, 104, 232, 88, 216)(40, 168, 71, 199, 102, 230, 90, 218)(41, 169, 79, 207, 103, 231, 77, 205)(43, 171, 85, 213, 101, 229, 87, 215)(49, 177, 95, 223, 105, 233, 67, 195)(50, 178, 76, 204, 55, 183, 78, 206)(54, 182, 97, 225, 106, 234, 72, 200)(69, 197, 109, 237, 94, 222, 113, 241)(74, 202, 110, 238, 93, 221, 112, 240)(80, 208, 116, 244, 86, 214, 118, 246)(82, 210, 111, 239, 91, 219, 107, 235)(89, 217, 115, 243, 123, 251, 108, 236)(92, 220, 114, 242, 124, 252, 119, 247)(117, 245, 125, 253, 122, 250, 128, 256)(120, 248, 126, 254, 121, 249, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 296, 424)(271, 399, 301, 429)(272, 400, 299, 427)(273, 401, 305, 433)(275, 403, 309, 437)(276, 404, 310, 438)(277, 405, 294, 422)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 321, 449)(283, 411, 327, 455)(285, 413, 330, 458)(286, 414, 331, 459)(287, 415, 333, 461)(288, 416, 325, 453)(289, 417, 332, 460)(291, 419, 338, 466)(292, 420, 336, 464)(293, 421, 342, 470)(295, 423, 345, 473)(297, 425, 347, 475)(298, 426, 348, 476)(300, 428, 335, 463)(302, 430, 349, 477)(303, 431, 340, 468)(304, 432, 350, 478)(306, 434, 352, 480)(307, 435, 337, 465)(308, 436, 346, 474)(311, 439, 320, 448)(312, 440, 355, 483)(314, 442, 358, 486)(316, 444, 360, 488)(317, 445, 361, 489)(318, 446, 362, 490)(319, 447, 357, 485)(322, 450, 364, 492)(323, 451, 363, 491)(324, 452, 367, 495)(326, 454, 370, 498)(328, 456, 371, 499)(329, 457, 372, 500)(334, 462, 354, 482)(339, 467, 376, 504)(341, 469, 373, 501)(343, 471, 377, 505)(344, 472, 378, 506)(351, 479, 375, 503)(353, 481, 374, 502)(356, 484, 379, 507)(359, 487, 380, 508)(365, 493, 382, 510)(366, 494, 381, 509)(368, 496, 383, 511)(369, 497, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 294)(13, 297)(14, 259)(15, 261)(16, 303)(17, 306)(18, 301)(19, 304)(20, 302)(21, 262)(22, 313)(23, 316)(24, 263)(25, 322)(26, 325)(27, 328)(28, 264)(29, 273)(30, 332)(31, 277)(32, 266)(33, 331)(34, 336)(35, 339)(36, 267)(37, 269)(38, 333)(39, 314)(40, 342)(41, 344)(42, 343)(43, 270)(44, 319)(45, 349)(46, 271)(47, 334)(48, 317)(49, 330)(50, 318)(51, 329)(52, 353)(53, 274)(54, 320)(55, 276)(56, 298)(57, 357)(58, 359)(59, 278)(60, 286)(61, 311)(62, 288)(63, 280)(64, 361)(65, 363)(66, 365)(67, 281)(68, 283)(69, 362)(70, 308)(71, 367)(72, 369)(73, 368)(74, 284)(75, 360)(76, 300)(77, 354)(78, 287)(79, 289)(80, 373)(81, 375)(82, 290)(83, 295)(84, 299)(85, 292)(86, 377)(87, 293)(88, 356)(89, 376)(90, 370)(91, 296)(92, 355)(93, 310)(94, 309)(95, 307)(96, 305)(97, 366)(98, 340)(99, 379)(100, 312)(101, 335)(102, 345)(103, 341)(104, 315)(105, 350)(106, 352)(107, 381)(108, 321)(109, 326)(110, 323)(111, 383)(112, 324)(113, 351)(114, 382)(115, 327)(116, 337)(117, 380)(118, 346)(119, 384)(120, 338)(121, 348)(122, 347)(123, 378)(124, 358)(125, 374)(126, 364)(127, 372)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1894
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1896 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 740>$ (small group id <128, 740>)
Aut   = $<256, 16860>$ (small group id <256, 16860>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, (Y3^-1 * Y1 * Y2 * Y1)^2, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y3 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 30, 158)(16, 144, 37, 165)(17, 145, 39, 167)(19, 147, 43, 171)(21, 149, 47, 175)(22, 150, 44, 172)(23, 151, 40, 168)(25, 153, 54, 182)(27, 155, 36, 164)(28, 156, 46, 174)(29, 157, 42, 170)(31, 159, 35, 163)(32, 160, 45, 173)(33, 161, 41, 169)(34, 162, 67, 195)(38, 166, 74, 202)(48, 176, 90, 218)(49, 177, 92, 220)(50, 178, 81, 209)(51, 179, 89, 217)(52, 180, 79, 207)(53, 181, 85, 213)(55, 183, 88, 216)(56, 184, 78, 206)(57, 185, 84, 212)(58, 186, 76, 204)(59, 187, 72, 200)(60, 188, 82, 210)(61, 189, 70, 198)(62, 190, 80, 208)(63, 191, 86, 214)(64, 192, 77, 205)(65, 193, 73, 201)(66, 194, 83, 211)(68, 196, 110, 238)(69, 197, 112, 240)(71, 199, 109, 237)(75, 203, 108, 236)(87, 215, 127, 255)(91, 219, 111, 239)(93, 221, 120, 248)(94, 222, 114, 242)(95, 223, 123, 251)(96, 224, 116, 244)(97, 225, 126, 254)(98, 226, 122, 250)(99, 227, 119, 247)(100, 228, 113, 241)(101, 229, 124, 252)(102, 230, 118, 246)(103, 231, 115, 243)(104, 232, 121, 249)(105, 233, 125, 253)(106, 234, 117, 245)(107, 235, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 287, 415)(271, 399, 290, 418)(274, 402, 296, 424)(275, 403, 294, 422)(276, 404, 300, 428)(278, 406, 305, 433)(279, 407, 304, 432)(280, 408, 307, 435)(282, 410, 311, 439)(284, 412, 315, 443)(285, 413, 314, 442)(286, 414, 317, 445)(288, 416, 321, 449)(289, 417, 320, 448)(291, 419, 325, 453)(292, 420, 324, 452)(293, 421, 327, 455)(295, 423, 331, 459)(297, 425, 335, 463)(298, 426, 334, 462)(299, 427, 337, 465)(301, 429, 341, 469)(302, 430, 340, 468)(303, 431, 343, 471)(306, 434, 347, 475)(308, 436, 350, 478)(309, 437, 349, 477)(310, 438, 352, 480)(312, 440, 356, 484)(313, 441, 355, 483)(316, 444, 358, 486)(318, 446, 360, 488)(319, 447, 359, 487)(322, 450, 362, 490)(323, 451, 363, 491)(326, 454, 367, 495)(328, 456, 370, 498)(329, 457, 369, 497)(330, 458, 372, 500)(332, 460, 376, 504)(333, 461, 375, 503)(336, 464, 378, 506)(338, 466, 380, 508)(339, 467, 379, 507)(342, 470, 382, 510)(344, 472, 373, 501)(345, 473, 374, 502)(346, 474, 371, 499)(348, 476, 377, 505)(351, 479, 366, 494)(353, 481, 364, 492)(354, 482, 365, 493)(357, 485, 368, 496)(361, 489, 383, 511)(381, 509, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 288)(15, 291)(16, 294)(17, 262)(18, 297)(19, 264)(20, 301)(21, 304)(22, 306)(23, 265)(24, 308)(25, 267)(26, 312)(27, 314)(28, 316)(29, 268)(30, 318)(31, 320)(32, 322)(33, 270)(34, 324)(35, 326)(36, 271)(37, 328)(38, 273)(39, 332)(40, 334)(41, 336)(42, 274)(43, 338)(44, 340)(45, 342)(46, 276)(47, 344)(48, 347)(49, 277)(50, 279)(51, 349)(52, 351)(53, 280)(54, 353)(55, 355)(56, 357)(57, 282)(58, 358)(59, 283)(60, 285)(61, 359)(62, 361)(63, 286)(64, 362)(65, 287)(66, 289)(67, 364)(68, 367)(69, 290)(70, 292)(71, 369)(72, 371)(73, 293)(74, 373)(75, 375)(76, 377)(77, 295)(78, 378)(79, 296)(80, 298)(81, 379)(82, 381)(83, 299)(84, 382)(85, 300)(86, 302)(87, 374)(88, 372)(89, 303)(90, 370)(91, 305)(92, 376)(93, 366)(94, 307)(95, 309)(96, 365)(97, 363)(98, 310)(99, 368)(100, 311)(101, 313)(102, 315)(103, 383)(104, 317)(105, 319)(106, 321)(107, 354)(108, 352)(109, 323)(110, 350)(111, 325)(112, 356)(113, 346)(114, 327)(115, 329)(116, 345)(117, 343)(118, 330)(119, 348)(120, 331)(121, 333)(122, 335)(123, 384)(124, 337)(125, 339)(126, 341)(127, 360)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1900
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1897 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 740>$ (small group id <128, 740>)
Aut   = $<256, 16880>$ (small group id <256, 16880>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^4, (Y1 * Y2)^4, Y3^8, (R * Y2 * Y1 * Y2)^2, (Y3 * Y1 * Y3 * Y2 * Y1)^2, Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 16, 144)(7, 135, 19, 147)(8, 136, 21, 149)(10, 138, 26, 154)(11, 139, 28, 156)(13, 141, 20, 148)(15, 143, 22, 150)(17, 145, 40, 168)(18, 146, 42, 170)(23, 151, 37, 165)(24, 152, 53, 181)(25, 153, 55, 183)(27, 155, 54, 182)(29, 157, 56, 184)(30, 158, 64, 192)(31, 159, 49, 177)(32, 160, 68, 196)(33, 161, 67, 195)(34, 162, 70, 198)(35, 163, 45, 173)(36, 164, 72, 200)(38, 166, 75, 203)(39, 167, 77, 205)(41, 169, 76, 204)(43, 171, 78, 206)(44, 172, 86, 214)(46, 174, 90, 218)(47, 175, 89, 217)(48, 176, 92, 220)(50, 178, 94, 222)(51, 179, 95, 223)(52, 180, 97, 225)(57, 185, 100, 228)(58, 186, 93, 221)(59, 187, 87, 215)(60, 188, 103, 231)(61, 189, 105, 233)(62, 190, 88, 216)(63, 191, 107, 235)(65, 193, 81, 209)(66, 194, 84, 212)(69, 197, 91, 219)(71, 199, 80, 208)(73, 201, 109, 237)(74, 202, 111, 239)(79, 207, 114, 242)(82, 210, 117, 245)(83, 211, 119, 247)(85, 213, 121, 249)(96, 224, 110, 238)(98, 226, 112, 240)(99, 227, 124, 252)(101, 229, 123, 251)(102, 230, 120, 248)(104, 232, 122, 250)(106, 234, 116, 244)(108, 236, 118, 246)(113, 241, 127, 255)(115, 243, 126, 254)(125, 253, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 274, 402)(264, 392, 273, 401)(265, 393, 279, 407)(268, 396, 286, 414)(269, 397, 285, 413)(270, 398, 290, 418)(271, 399, 283, 411)(272, 400, 293, 421)(275, 403, 300, 428)(276, 404, 299, 427)(277, 405, 304, 432)(278, 406, 297, 425)(280, 408, 308, 436)(281, 409, 307, 435)(282, 410, 313, 441)(284, 412, 317, 445)(287, 415, 322, 450)(288, 416, 321, 449)(289, 417, 319, 447)(291, 419, 327, 455)(292, 420, 316, 444)(294, 422, 330, 458)(295, 423, 329, 457)(296, 424, 335, 463)(298, 426, 339, 467)(301, 429, 344, 472)(302, 430, 343, 471)(303, 431, 341, 469)(305, 433, 349, 477)(306, 434, 338, 466)(309, 437, 345, 473)(310, 438, 354, 482)(311, 439, 350, 478)(312, 440, 352, 480)(314, 442, 358, 486)(315, 443, 357, 485)(318, 446, 362, 490)(320, 448, 361, 489)(323, 451, 331, 459)(324, 452, 355, 483)(325, 453, 360, 488)(326, 454, 356, 484)(328, 456, 333, 461)(332, 460, 368, 496)(334, 462, 366, 494)(336, 464, 372, 500)(337, 465, 371, 499)(340, 468, 376, 504)(342, 470, 375, 503)(346, 474, 369, 497)(347, 475, 374, 502)(348, 476, 370, 498)(351, 479, 373, 501)(353, 481, 377, 505)(359, 487, 365, 493)(363, 491, 367, 495)(364, 492, 381, 509)(378, 506, 384, 512)(379, 507, 383, 511)(380, 508, 382, 510)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 273)(7, 276)(8, 258)(9, 280)(10, 283)(11, 259)(12, 287)(13, 289)(14, 288)(15, 261)(16, 294)(17, 297)(18, 262)(19, 301)(20, 303)(21, 302)(22, 264)(23, 307)(24, 310)(25, 265)(26, 314)(27, 316)(28, 315)(29, 267)(30, 321)(31, 323)(32, 268)(33, 325)(34, 327)(35, 270)(36, 271)(37, 329)(38, 332)(39, 272)(40, 336)(41, 338)(42, 337)(43, 274)(44, 343)(45, 345)(46, 275)(47, 347)(48, 349)(49, 277)(50, 278)(51, 352)(52, 279)(53, 344)(54, 342)(55, 355)(56, 281)(57, 357)(58, 359)(59, 282)(60, 360)(61, 362)(62, 284)(63, 285)(64, 364)(65, 290)(66, 286)(67, 346)(68, 350)(69, 292)(70, 334)(71, 333)(72, 291)(73, 366)(74, 293)(75, 322)(76, 320)(77, 369)(78, 295)(79, 371)(80, 373)(81, 296)(82, 374)(83, 376)(84, 298)(85, 299)(86, 378)(87, 304)(88, 300)(89, 324)(90, 328)(91, 306)(92, 312)(93, 311)(94, 305)(95, 372)(96, 370)(97, 379)(98, 308)(99, 309)(100, 381)(101, 317)(102, 313)(103, 380)(104, 319)(105, 368)(106, 367)(107, 318)(108, 326)(109, 358)(110, 356)(111, 382)(112, 330)(113, 331)(114, 384)(115, 339)(116, 335)(117, 383)(118, 341)(119, 354)(120, 353)(121, 340)(122, 348)(123, 351)(124, 363)(125, 361)(126, 365)(127, 377)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1901
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1898 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 740>$ (small group id <128, 740>)
Aut   = $<256, 16870>$ (small group id <256, 16870>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-2 * Y2 * Y1, (Y2 * Y1 * Y3^-2 * Y1)^2, Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y3, (Y2 * Y1 * Y2 * R * Y1)^2, Y2 * R * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * R * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 30, 158)(16, 144, 37, 165)(17, 145, 39, 167)(19, 147, 43, 171)(21, 149, 47, 175)(22, 150, 50, 178)(23, 151, 52, 180)(25, 153, 56, 184)(27, 155, 60, 188)(28, 156, 46, 174)(29, 157, 42, 170)(31, 159, 67, 195)(32, 160, 45, 173)(33, 161, 41, 169)(34, 162, 71, 199)(35, 163, 74, 202)(36, 164, 76, 204)(38, 166, 80, 208)(40, 168, 84, 212)(44, 172, 91, 219)(48, 176, 81, 209)(49, 177, 77, 205)(51, 179, 88, 216)(53, 181, 73, 201)(54, 182, 92, 220)(55, 183, 85, 213)(57, 185, 72, 200)(58, 186, 93, 221)(59, 187, 86, 214)(61, 189, 79, 207)(62, 190, 83, 211)(63, 191, 89, 217)(64, 192, 75, 203)(65, 193, 87, 215)(66, 194, 94, 222)(68, 196, 78, 206)(69, 197, 82, 210)(70, 198, 90, 218)(95, 223, 123, 251)(96, 224, 124, 252)(97, 225, 125, 253)(98, 226, 112, 240)(99, 227, 118, 246)(100, 228, 114, 242)(101, 229, 120, 248)(102, 230, 116, 244)(103, 231, 117, 245)(104, 232, 113, 241)(105, 233, 121, 249)(106, 234, 115, 243)(107, 235, 119, 247)(108, 236, 122, 250)(109, 237, 126, 254)(110, 238, 127, 255)(111, 239, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 287, 415)(271, 399, 290, 418)(274, 402, 296, 424)(275, 403, 294, 422)(276, 404, 300, 428)(278, 406, 305, 433)(279, 407, 304, 432)(280, 408, 309, 437)(282, 410, 313, 441)(284, 412, 318, 446)(285, 413, 317, 445)(286, 414, 320, 448)(288, 416, 325, 453)(289, 417, 324, 452)(291, 419, 329, 457)(292, 420, 328, 456)(293, 421, 333, 461)(295, 423, 337, 465)(297, 425, 342, 470)(298, 426, 341, 469)(299, 427, 344, 472)(301, 429, 349, 477)(302, 430, 348, 476)(303, 431, 351, 479)(306, 434, 343, 471)(307, 435, 354, 482)(308, 436, 350, 478)(310, 438, 356, 484)(311, 439, 355, 483)(312, 440, 358, 486)(314, 442, 360, 488)(315, 443, 359, 487)(316, 444, 352, 480)(319, 447, 330, 458)(321, 449, 363, 491)(322, 450, 362, 490)(323, 451, 353, 481)(326, 454, 332, 460)(327, 455, 365, 493)(331, 459, 368, 496)(334, 462, 370, 498)(335, 463, 369, 497)(336, 464, 372, 500)(338, 466, 374, 502)(339, 467, 373, 501)(340, 468, 366, 494)(345, 473, 377, 505)(346, 474, 376, 504)(347, 475, 367, 495)(357, 485, 380, 508)(361, 489, 381, 509)(364, 492, 379, 507)(371, 499, 383, 511)(375, 503, 384, 512)(378, 506, 382, 510)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 288)(15, 291)(16, 294)(17, 262)(18, 297)(19, 264)(20, 301)(21, 304)(22, 307)(23, 265)(24, 310)(25, 267)(26, 314)(27, 317)(28, 319)(29, 268)(30, 321)(31, 324)(32, 326)(33, 270)(34, 328)(35, 331)(36, 271)(37, 334)(38, 273)(39, 338)(40, 341)(41, 343)(42, 274)(43, 345)(44, 348)(45, 350)(46, 276)(47, 352)(48, 354)(49, 277)(50, 342)(51, 279)(52, 349)(53, 355)(54, 357)(55, 280)(56, 340)(57, 359)(58, 361)(59, 282)(60, 351)(61, 330)(62, 283)(63, 285)(64, 362)(65, 364)(66, 286)(67, 336)(68, 332)(69, 287)(70, 289)(71, 366)(72, 368)(73, 290)(74, 318)(75, 292)(76, 325)(77, 369)(78, 371)(79, 293)(80, 316)(81, 373)(82, 375)(83, 295)(84, 365)(85, 306)(86, 296)(87, 298)(88, 376)(89, 378)(90, 299)(91, 312)(92, 308)(93, 300)(94, 302)(95, 323)(96, 372)(97, 303)(98, 305)(99, 380)(100, 309)(101, 311)(102, 367)(103, 381)(104, 313)(105, 315)(106, 379)(107, 320)(108, 322)(109, 347)(110, 358)(111, 327)(112, 329)(113, 383)(114, 333)(115, 335)(116, 353)(117, 384)(118, 337)(119, 339)(120, 382)(121, 344)(122, 346)(123, 363)(124, 356)(125, 360)(126, 377)(127, 370)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1899
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1899 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 740>$ (small group id <128, 740>)
Aut   = $<256, 16870>$ (small group id <256, 16870>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3^-1 * Y1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-2 * R * Y2 * Y1 * Y2 * R * Y2 * Y1^-1 * Y2, Y2 * Y1^-2 * Y2 * Y3^-4 * Y1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 29, 157, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 52, 180, 25, 153)(12, 140, 33, 161, 64, 192, 32, 160)(14, 142, 36, 164, 65, 193, 31, 159)(16, 144, 28, 156, 50, 178, 39, 167)(17, 145, 41, 169, 83, 211, 42, 170)(19, 147, 27, 155, 51, 179, 44, 172)(20, 148, 46, 174, 88, 216, 48, 176)(24, 152, 56, 184, 100, 228, 55, 183)(26, 154, 59, 187, 101, 229, 54, 182)(30, 158, 53, 181, 89, 217, 67, 195)(34, 162, 70, 198, 96, 224, 72, 200)(35, 163, 58, 186, 94, 222, 74, 202)(37, 165, 69, 197, 93, 221, 76, 204)(38, 166, 78, 206, 111, 239, 80, 208)(40, 168, 81, 209, 97, 225, 62, 190)(43, 171, 85, 213, 108, 236, 84, 212)(45, 173, 87, 215, 98, 226, 61, 189)(47, 175, 92, 220, 77, 205, 91, 219)(49, 177, 95, 223, 73, 201, 90, 218)(57, 185, 105, 233, 86, 214, 107, 235)(60, 188, 104, 232, 79, 207, 110, 238)(63, 191, 99, 227, 82, 210, 112, 240)(66, 194, 113, 241, 121, 249, 103, 231)(68, 196, 115, 243, 122, 250, 102, 230)(71, 199, 117, 245, 123, 251, 109, 237)(75, 203, 119, 247, 124, 252, 106, 234)(114, 242, 126, 254, 120, 248, 127, 255)(116, 244, 125, 253, 118, 246, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 286, 414)(269, 397, 291, 419)(271, 399, 294, 422)(272, 400, 293, 421)(274, 402, 299, 427)(275, 403, 290, 418)(277, 405, 305, 433)(278, 406, 303, 431)(279, 407, 309, 437)(281, 409, 314, 442)(283, 411, 316, 444)(284, 412, 313, 441)(285, 413, 319, 447)(287, 415, 324, 452)(288, 416, 322, 450)(289, 417, 327, 455)(292, 420, 331, 459)(295, 423, 335, 463)(296, 424, 333, 461)(297, 425, 323, 451)(298, 426, 330, 458)(300, 428, 342, 470)(301, 429, 329, 457)(302, 430, 345, 473)(304, 432, 350, 478)(306, 434, 352, 480)(307, 435, 349, 477)(308, 436, 355, 483)(310, 438, 359, 487)(311, 439, 358, 486)(312, 440, 362, 490)(315, 443, 365, 493)(317, 445, 367, 495)(318, 446, 364, 492)(320, 448, 353, 481)(321, 449, 354, 482)(325, 453, 372, 500)(326, 454, 370, 498)(328, 456, 374, 502)(332, 460, 376, 504)(334, 462, 375, 503)(336, 464, 371, 499)(337, 465, 357, 485)(338, 466, 344, 472)(339, 467, 368, 496)(340, 468, 369, 497)(341, 469, 373, 501)(343, 471, 356, 484)(346, 474, 378, 506)(347, 475, 377, 505)(348, 476, 379, 507)(351, 479, 380, 508)(360, 488, 382, 510)(361, 489, 381, 509)(363, 491, 383, 511)(366, 494, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 287)(12, 290)(13, 292)(14, 259)(15, 261)(16, 296)(17, 294)(18, 300)(19, 262)(20, 303)(21, 306)(22, 263)(23, 310)(24, 313)(25, 315)(26, 264)(27, 317)(28, 266)(29, 320)(30, 322)(31, 325)(32, 267)(33, 269)(34, 329)(35, 327)(36, 332)(37, 270)(38, 335)(39, 271)(40, 338)(41, 340)(42, 341)(43, 273)(44, 343)(45, 275)(46, 346)(47, 349)(48, 351)(49, 276)(50, 353)(51, 278)(52, 356)(53, 358)(54, 360)(55, 279)(56, 281)(57, 364)(58, 362)(59, 366)(60, 282)(61, 368)(62, 284)(63, 354)(64, 352)(65, 285)(66, 370)(67, 371)(68, 286)(69, 348)(70, 288)(71, 374)(72, 289)(73, 344)(74, 375)(75, 291)(76, 347)(77, 293)(78, 298)(79, 357)(80, 297)(81, 295)(82, 301)(83, 367)(84, 363)(85, 361)(86, 299)(87, 355)(88, 333)(89, 377)(90, 328)(91, 302)(92, 304)(93, 321)(94, 379)(95, 326)(96, 305)(97, 319)(98, 307)(99, 337)(100, 342)(101, 308)(102, 381)(103, 309)(104, 334)(105, 311)(106, 383)(107, 312)(108, 339)(109, 314)(110, 336)(111, 316)(112, 318)(113, 323)(114, 380)(115, 384)(116, 324)(117, 330)(118, 378)(119, 382)(120, 331)(121, 376)(122, 345)(123, 372)(124, 350)(125, 373)(126, 359)(127, 369)(128, 365)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1898
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1900 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 740>$ (small group id <128, 740>)
Aut   = $<256, 16860>$ (small group id <256, 16860>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y1^-1 * Y3^-2 * Y1, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y3^3 * Y1^-2 * Y3 * Y1^2, Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 22, 150, 13, 141)(4, 132, 15, 143, 43, 171, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 18, 146, 27, 155)(10, 138, 31, 159, 56, 184, 23, 151)(12, 140, 36, 164, 69, 197, 38, 166)(14, 142, 41, 169, 78, 206, 34, 162)(16, 144, 29, 157, 55, 183, 47, 175)(19, 147, 24, 152, 57, 185, 46, 174)(21, 149, 32, 160, 58, 186, 45, 173)(26, 154, 62, 190, 99, 227, 64, 192)(28, 156, 67, 195, 51, 179, 60, 188)(33, 161, 73, 201, 39, 167, 75, 203)(35, 163, 79, 207, 96, 224, 53, 181)(37, 165, 77, 205, 95, 223, 83, 211)(40, 168, 54, 182, 97, 225, 71, 199)(42, 170, 80, 208, 98, 226, 82, 210)(44, 172, 61, 189, 48, 176, 90, 218)(49, 177, 70, 198, 52, 180, 72, 200)(50, 178, 93, 221, 100, 228, 66, 194)(59, 187, 101, 229, 65, 193, 103, 231)(63, 191, 105, 233, 89, 217, 109, 237)(68, 196, 106, 234, 91, 219, 108, 236)(74, 202, 113, 241, 123, 251, 104, 232)(76, 204, 107, 235, 87, 215, 110, 238)(81, 209, 117, 245, 84, 212, 112, 240)(85, 213, 115, 243, 88, 216, 116, 244)(86, 214, 102, 230, 124, 252, 119, 247)(92, 220, 111, 239, 94, 222, 114, 242)(118, 246, 126, 254, 121, 249, 128, 256)(120, 248, 125, 253, 122, 250, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 289, 417)(269, 397, 295, 423)(271, 399, 300, 428)(272, 400, 298, 426)(273, 401, 304, 432)(275, 403, 306, 434)(276, 404, 307, 435)(277, 405, 293, 421)(279, 407, 310, 438)(280, 408, 309, 437)(281, 409, 315, 443)(283, 411, 321, 449)(285, 413, 324, 452)(286, 414, 325, 453)(287, 415, 327, 455)(288, 416, 319, 447)(290, 418, 332, 460)(291, 419, 330, 458)(292, 420, 337, 465)(294, 422, 340, 468)(296, 424, 342, 470)(297, 425, 343, 471)(299, 427, 334, 462)(301, 429, 345, 473)(302, 430, 335, 463)(303, 431, 347, 475)(305, 433, 348, 476)(308, 436, 350, 478)(311, 439, 354, 482)(312, 440, 355, 483)(313, 441, 356, 484)(314, 442, 351, 479)(316, 444, 360, 488)(317, 445, 358, 486)(318, 446, 363, 491)(320, 448, 366, 494)(322, 450, 368, 496)(323, 451, 369, 497)(326, 454, 371, 499)(328, 456, 372, 500)(329, 457, 367, 495)(331, 459, 370, 498)(333, 461, 376, 504)(336, 464, 374, 502)(338, 466, 377, 505)(339, 467, 378, 506)(341, 469, 359, 487)(344, 472, 357, 485)(346, 474, 375, 503)(349, 477, 373, 501)(352, 480, 379, 507)(353, 481, 380, 508)(361, 489, 382, 510)(362, 490, 381, 509)(364, 492, 383, 511)(365, 493, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 290)(12, 293)(13, 296)(14, 259)(15, 261)(16, 302)(17, 305)(18, 300)(19, 303)(20, 301)(21, 262)(22, 309)(23, 311)(24, 263)(25, 316)(26, 319)(27, 322)(28, 264)(29, 273)(30, 326)(31, 277)(32, 266)(33, 330)(34, 333)(35, 267)(36, 269)(37, 327)(38, 341)(39, 337)(40, 339)(41, 338)(42, 270)(43, 314)(44, 345)(45, 271)(46, 328)(47, 312)(48, 324)(49, 313)(50, 274)(51, 350)(52, 276)(53, 351)(54, 278)(55, 286)(56, 308)(57, 288)(58, 280)(59, 358)(60, 361)(61, 281)(62, 283)(63, 356)(64, 367)(65, 363)(66, 365)(67, 364)(68, 284)(69, 354)(70, 299)(71, 372)(72, 287)(73, 366)(74, 374)(75, 375)(76, 289)(77, 294)(78, 371)(79, 298)(80, 291)(81, 377)(82, 292)(83, 352)(84, 376)(85, 353)(86, 295)(87, 357)(88, 297)(89, 307)(90, 370)(91, 306)(92, 304)(93, 362)(94, 355)(95, 334)(96, 344)(97, 336)(98, 310)(99, 347)(100, 348)(101, 379)(102, 381)(103, 340)(104, 315)(105, 320)(106, 317)(107, 383)(108, 318)(109, 346)(110, 382)(111, 349)(112, 321)(113, 331)(114, 323)(115, 325)(116, 335)(117, 329)(118, 380)(119, 384)(120, 332)(121, 343)(122, 342)(123, 378)(124, 359)(125, 373)(126, 360)(127, 369)(128, 368)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1896
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1901 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 740>$ (small group id <128, 740>)
Aut   = $<256, 16880>$ (small group id <256, 16880>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3^-1, Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y2 * Y3^3 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, Y2 * Y1^-2 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * R * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 44, 172, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 37, 165, 57, 185, 39, 167)(14, 142, 42, 170, 59, 187, 35, 163)(16, 144, 29, 157, 60, 188, 48, 176)(18, 146, 51, 179, 96, 224, 52, 180)(19, 147, 24, 152, 62, 190, 47, 175)(21, 149, 32, 160, 63, 191, 46, 174)(22, 150, 56, 184, 98, 226, 58, 186)(26, 154, 68, 196, 45, 173, 70, 198)(28, 156, 73, 201, 53, 181, 66, 194)(34, 162, 80, 208, 99, 227, 71, 199)(36, 164, 84, 212, 100, 228, 75, 203)(38, 166, 83, 211, 104, 232, 88, 216)(40, 168, 90, 218, 102, 230, 65, 193)(41, 169, 79, 207, 103, 231, 77, 205)(43, 171, 85, 213, 101, 229, 87, 215)(49, 177, 95, 223, 105, 233, 67, 195)(50, 178, 76, 204, 55, 183, 78, 206)(54, 182, 97, 225, 106, 234, 72, 200)(69, 197, 109, 237, 94, 222, 113, 241)(74, 202, 110, 238, 93, 221, 112, 240)(81, 209, 115, 243, 86, 214, 108, 236)(82, 210, 119, 247, 91, 219, 114, 242)(89, 217, 116, 244, 123, 251, 117, 245)(92, 220, 107, 235, 124, 252, 111, 239)(118, 246, 126, 254, 122, 250, 127, 255)(120, 248, 125, 253, 121, 249, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 296, 424)(271, 399, 301, 429)(272, 400, 299, 427)(273, 401, 305, 433)(275, 403, 309, 437)(276, 404, 310, 438)(277, 405, 294, 422)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 321, 449)(283, 411, 327, 455)(285, 413, 330, 458)(286, 414, 331, 459)(287, 415, 333, 461)(288, 416, 325, 453)(289, 417, 332, 460)(291, 419, 338, 466)(292, 420, 337, 465)(293, 421, 342, 470)(295, 423, 345, 473)(297, 425, 347, 475)(298, 426, 348, 476)(300, 428, 335, 463)(302, 430, 349, 477)(303, 431, 340, 468)(304, 432, 350, 478)(306, 434, 352, 480)(307, 435, 346, 474)(308, 436, 336, 464)(311, 439, 320, 448)(312, 440, 355, 483)(314, 442, 358, 486)(316, 444, 360, 488)(317, 445, 361, 489)(318, 446, 362, 490)(319, 447, 357, 485)(322, 450, 364, 492)(323, 451, 363, 491)(324, 452, 367, 495)(326, 454, 370, 498)(328, 456, 371, 499)(329, 457, 372, 500)(334, 462, 354, 482)(339, 467, 376, 504)(341, 469, 374, 502)(343, 471, 377, 505)(344, 472, 378, 506)(351, 479, 375, 503)(353, 481, 373, 501)(356, 484, 379, 507)(359, 487, 380, 508)(365, 493, 382, 510)(366, 494, 381, 509)(368, 496, 383, 511)(369, 497, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 294)(13, 297)(14, 259)(15, 261)(16, 303)(17, 306)(18, 301)(19, 304)(20, 302)(21, 262)(22, 313)(23, 316)(24, 263)(25, 322)(26, 325)(27, 328)(28, 264)(29, 273)(30, 332)(31, 277)(32, 266)(33, 331)(34, 337)(35, 339)(36, 267)(37, 269)(38, 333)(39, 314)(40, 342)(41, 344)(42, 343)(43, 270)(44, 319)(45, 349)(46, 271)(47, 334)(48, 317)(49, 330)(50, 318)(51, 329)(52, 353)(53, 274)(54, 320)(55, 276)(56, 298)(57, 357)(58, 359)(59, 278)(60, 286)(61, 311)(62, 288)(63, 280)(64, 361)(65, 363)(66, 365)(67, 281)(68, 283)(69, 362)(70, 308)(71, 367)(72, 369)(73, 368)(74, 284)(75, 360)(76, 300)(77, 354)(78, 287)(79, 289)(80, 370)(81, 374)(82, 290)(83, 295)(84, 299)(85, 292)(86, 377)(87, 293)(88, 356)(89, 376)(90, 375)(91, 296)(92, 355)(93, 310)(94, 309)(95, 307)(96, 305)(97, 366)(98, 340)(99, 379)(100, 312)(101, 335)(102, 345)(103, 341)(104, 315)(105, 350)(106, 352)(107, 381)(108, 321)(109, 326)(110, 323)(111, 383)(112, 324)(113, 351)(114, 382)(115, 327)(116, 346)(117, 336)(118, 380)(119, 384)(120, 338)(121, 348)(122, 347)(123, 378)(124, 358)(125, 373)(126, 364)(127, 372)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1897
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1902 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26539>$ (small group id <256, 26539>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1, (Y3^-1 * Y1 * Y3 * Y1)^2, Y2 * Y1 * R * Y3 * Y1 * R * Y2 * Y1 * Y3 * Y1, (Y2 * Y1 * Y2 * R * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-2 * Y1 * Y3 * Y2 * Y3^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 30, 158)(16, 144, 37, 165)(17, 145, 39, 167)(19, 147, 43, 171)(21, 149, 47, 175)(22, 150, 40, 168)(23, 151, 44, 172)(25, 153, 54, 182)(27, 155, 35, 163)(28, 156, 46, 174)(29, 157, 42, 170)(31, 159, 36, 164)(32, 160, 45, 173)(33, 161, 41, 169)(34, 162, 67, 195)(38, 166, 74, 202)(48, 176, 90, 218)(49, 177, 92, 220)(50, 178, 81, 209)(51, 179, 88, 216)(52, 180, 85, 213)(53, 181, 79, 207)(55, 183, 89, 217)(56, 184, 84, 212)(57, 185, 78, 206)(58, 186, 77, 205)(59, 187, 73, 201)(60, 188, 82, 210)(61, 189, 70, 198)(62, 190, 80, 208)(63, 191, 86, 214)(64, 192, 76, 204)(65, 193, 72, 200)(66, 194, 83, 211)(68, 196, 110, 238)(69, 197, 112, 240)(71, 199, 108, 236)(75, 203, 109, 237)(87, 215, 127, 255)(91, 219, 111, 239)(93, 221, 113, 241)(94, 222, 119, 247)(95, 223, 123, 251)(96, 224, 116, 244)(97, 225, 122, 250)(98, 226, 126, 254)(99, 227, 114, 242)(100, 228, 120, 248)(101, 229, 124, 252)(102, 230, 117, 245)(103, 231, 115, 243)(104, 232, 121, 249)(105, 233, 125, 253)(106, 234, 118, 246)(107, 235, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 287, 415)(271, 399, 290, 418)(274, 402, 296, 424)(275, 403, 294, 422)(276, 404, 300, 428)(278, 406, 305, 433)(279, 407, 304, 432)(280, 408, 307, 435)(282, 410, 311, 439)(284, 412, 315, 443)(285, 413, 314, 442)(286, 414, 317, 445)(288, 416, 321, 449)(289, 417, 320, 448)(291, 419, 325, 453)(292, 420, 324, 452)(293, 421, 327, 455)(295, 423, 331, 459)(297, 425, 335, 463)(298, 426, 334, 462)(299, 427, 337, 465)(301, 429, 341, 469)(302, 430, 340, 468)(303, 431, 343, 471)(306, 434, 347, 475)(308, 436, 350, 478)(309, 437, 349, 477)(310, 438, 352, 480)(312, 440, 356, 484)(313, 441, 355, 483)(316, 444, 358, 486)(318, 446, 360, 488)(319, 447, 359, 487)(322, 450, 362, 490)(323, 451, 363, 491)(326, 454, 367, 495)(328, 456, 370, 498)(329, 457, 369, 497)(330, 458, 372, 500)(332, 460, 376, 504)(333, 461, 375, 503)(336, 464, 378, 506)(338, 466, 380, 508)(339, 467, 379, 507)(342, 470, 382, 510)(344, 472, 373, 501)(345, 473, 374, 502)(346, 474, 377, 505)(348, 476, 371, 499)(351, 479, 368, 496)(353, 481, 364, 492)(354, 482, 365, 493)(357, 485, 366, 494)(361, 489, 383, 511)(381, 509, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 288)(15, 291)(16, 294)(17, 262)(18, 297)(19, 264)(20, 301)(21, 304)(22, 306)(23, 265)(24, 308)(25, 267)(26, 312)(27, 314)(28, 316)(29, 268)(30, 318)(31, 320)(32, 322)(33, 270)(34, 324)(35, 326)(36, 271)(37, 328)(38, 273)(39, 332)(40, 334)(41, 336)(42, 274)(43, 338)(44, 340)(45, 342)(46, 276)(47, 344)(48, 347)(49, 277)(50, 279)(51, 349)(52, 351)(53, 280)(54, 353)(55, 355)(56, 357)(57, 282)(58, 358)(59, 283)(60, 285)(61, 359)(62, 361)(63, 286)(64, 362)(65, 287)(66, 289)(67, 364)(68, 367)(69, 290)(70, 292)(71, 369)(72, 371)(73, 293)(74, 373)(75, 375)(76, 377)(77, 295)(78, 378)(79, 296)(80, 298)(81, 379)(82, 381)(83, 299)(84, 382)(85, 300)(86, 302)(87, 374)(88, 372)(89, 303)(90, 376)(91, 305)(92, 370)(93, 368)(94, 307)(95, 309)(96, 365)(97, 363)(98, 310)(99, 366)(100, 311)(101, 313)(102, 315)(103, 383)(104, 317)(105, 319)(106, 321)(107, 354)(108, 352)(109, 323)(110, 356)(111, 325)(112, 350)(113, 348)(114, 327)(115, 329)(116, 345)(117, 343)(118, 330)(119, 346)(120, 331)(121, 333)(122, 335)(123, 384)(124, 337)(125, 339)(126, 341)(127, 360)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1907
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1903 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26541>$ (small group id <256, 26541>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, Y3^-1 * Y2 * Y3 * R * Y2 * R, (R * Y2 * Y3^-1)^2, (Y3 * Y1 * Y3^-1 * Y1)^2, (Y3^-1 * Y1)^4, (Y1 * Y2)^4, Y3 * Y1 * Y2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1, Y3^-1 * R * Y1 * Y2 * R * Y1 * Y3^-1 * Y1 * Y2 * Y1, Y3^-1 * Y1 * R * Y2 * Y1 * R * Y3^-1 * Y1 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 30, 158)(16, 144, 37, 165)(17, 145, 39, 167)(19, 147, 43, 171)(21, 149, 34, 162)(22, 150, 49, 177)(23, 151, 51, 179)(25, 153, 55, 183)(27, 155, 59, 187)(28, 156, 46, 174)(29, 157, 42, 170)(31, 159, 66, 194)(32, 160, 45, 173)(33, 161, 41, 169)(35, 163, 72, 200)(36, 164, 74, 202)(38, 166, 78, 206)(40, 168, 82, 210)(44, 172, 89, 217)(47, 175, 93, 221)(48, 176, 95, 223)(50, 178, 86, 214)(52, 180, 96, 224)(53, 181, 83, 211)(54, 182, 90, 218)(56, 184, 101, 229)(57, 185, 84, 212)(58, 186, 91, 219)(60, 188, 76, 204)(61, 189, 80, 208)(62, 190, 87, 215)(63, 191, 73, 201)(64, 192, 85, 213)(65, 193, 92, 220)(67, 195, 77, 205)(68, 196, 81, 209)(69, 197, 88, 216)(70, 198, 109, 237)(71, 199, 111, 239)(75, 203, 112, 240)(79, 207, 117, 245)(94, 222, 116, 244)(97, 225, 119, 247)(98, 226, 114, 242)(99, 227, 122, 250)(100, 228, 110, 238)(102, 230, 118, 246)(103, 231, 113, 241)(104, 232, 123, 251)(105, 233, 126, 254)(106, 234, 115, 243)(107, 235, 120, 248)(108, 236, 124, 252)(121, 249, 128, 256)(125, 253, 127, 255)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 287, 415)(271, 399, 290, 418)(274, 402, 296, 424)(275, 403, 294, 422)(276, 404, 300, 428)(278, 406, 304, 432)(279, 407, 303, 431)(280, 408, 308, 436)(282, 410, 312, 440)(284, 412, 317, 445)(285, 413, 316, 444)(286, 414, 319, 447)(288, 416, 324, 452)(289, 417, 323, 451)(291, 419, 327, 455)(292, 420, 326, 454)(293, 421, 331, 459)(295, 423, 335, 463)(297, 425, 340, 468)(298, 426, 339, 467)(299, 427, 342, 470)(301, 429, 347, 475)(302, 430, 346, 474)(305, 433, 348, 476)(306, 434, 350, 478)(307, 435, 341, 469)(309, 437, 354, 482)(310, 438, 353, 481)(311, 439, 356, 484)(313, 441, 359, 487)(314, 442, 358, 486)(315, 443, 357, 485)(318, 446, 330, 458)(320, 448, 363, 491)(321, 449, 362, 490)(322, 450, 352, 480)(325, 453, 328, 456)(329, 457, 366, 494)(332, 460, 370, 498)(333, 461, 369, 497)(334, 462, 372, 500)(336, 464, 375, 503)(337, 465, 374, 502)(338, 466, 373, 501)(343, 471, 379, 507)(344, 472, 378, 506)(345, 473, 368, 496)(349, 477, 376, 504)(351, 479, 371, 499)(355, 483, 367, 495)(360, 488, 365, 493)(361, 489, 381, 509)(364, 492, 382, 510)(377, 505, 383, 511)(380, 508, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 288)(15, 291)(16, 294)(17, 262)(18, 297)(19, 264)(20, 301)(21, 303)(22, 306)(23, 265)(24, 309)(25, 267)(26, 313)(27, 316)(28, 318)(29, 268)(30, 320)(31, 323)(32, 325)(33, 270)(34, 326)(35, 329)(36, 271)(37, 332)(38, 273)(39, 336)(40, 339)(41, 341)(42, 274)(43, 343)(44, 346)(45, 348)(46, 276)(47, 350)(48, 277)(49, 347)(50, 279)(51, 340)(52, 353)(53, 355)(54, 280)(55, 345)(56, 358)(57, 360)(58, 282)(59, 334)(60, 330)(61, 283)(62, 285)(63, 362)(64, 364)(65, 286)(66, 361)(67, 328)(68, 287)(69, 289)(70, 366)(71, 290)(72, 324)(73, 292)(74, 317)(75, 369)(76, 371)(77, 293)(78, 322)(79, 374)(80, 376)(81, 295)(82, 311)(83, 307)(84, 296)(85, 298)(86, 378)(87, 380)(88, 299)(89, 377)(90, 305)(91, 300)(92, 302)(93, 375)(94, 304)(95, 370)(96, 372)(97, 367)(98, 308)(99, 310)(100, 373)(101, 381)(102, 365)(103, 312)(104, 314)(105, 315)(106, 382)(107, 319)(108, 321)(109, 359)(110, 327)(111, 354)(112, 356)(113, 351)(114, 331)(115, 333)(116, 357)(117, 383)(118, 349)(119, 335)(120, 337)(121, 338)(122, 384)(123, 342)(124, 344)(125, 352)(126, 363)(127, 368)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1906
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1904 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26539>$ (small group id <256, 26539>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, Y3^4, (R * Y3)^2, (R * Y1)^2, (Y1 * Y3^-2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^2, (Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y2)^2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 44, 172)(23, 151, 46, 174)(25, 153, 45, 173)(27, 155, 51, 179)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 54, 182)(31, 159, 55, 183)(32, 160, 58, 186)(33, 161, 60, 188)(35, 163, 59, 187)(37, 165, 65, 193)(40, 168, 68, 196)(42, 170, 69, 197)(43, 171, 70, 198)(47, 175, 75, 203)(48, 176, 72, 200)(49, 177, 73, 201)(50, 178, 78, 206)(52, 180, 81, 209)(53, 181, 82, 210)(56, 184, 83, 211)(57, 185, 84, 212)(61, 189, 89, 217)(62, 190, 86, 214)(63, 191, 87, 215)(64, 192, 92, 220)(66, 194, 95, 223)(67, 195, 96, 224)(71, 199, 101, 229)(74, 202, 104, 232)(76, 204, 90, 218)(77, 205, 91, 219)(79, 207, 107, 235)(80, 208, 108, 236)(85, 213, 113, 241)(88, 216, 116, 244)(93, 221, 119, 247)(94, 222, 120, 248)(97, 225, 121, 249)(98, 226, 111, 239)(99, 227, 110, 238)(100, 228, 122, 250)(102, 230, 115, 243)(103, 231, 114, 242)(105, 233, 117, 245)(106, 234, 118, 246)(109, 237, 125, 253)(112, 240, 126, 254)(123, 251, 128, 256)(124, 252, 127, 255)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 303, 431)(282, 410, 306, 434)(284, 412, 309, 437)(285, 413, 308, 436)(288, 416, 313, 441)(289, 417, 312, 440)(290, 418, 317, 445)(292, 420, 320, 448)(294, 422, 323, 451)(295, 423, 322, 450)(297, 425, 315, 443)(300, 428, 327, 455)(301, 429, 311, 439)(302, 430, 330, 458)(304, 432, 333, 461)(305, 433, 332, 460)(307, 435, 331, 459)(310, 438, 334, 462)(314, 442, 341, 469)(316, 444, 344, 472)(318, 446, 347, 475)(319, 447, 346, 474)(321, 449, 345, 473)(324, 452, 348, 476)(325, 453, 353, 481)(326, 454, 356, 484)(328, 456, 359, 487)(329, 457, 358, 486)(335, 463, 362, 490)(336, 464, 361, 489)(337, 465, 355, 483)(338, 466, 354, 482)(339, 467, 365, 493)(340, 468, 368, 496)(342, 470, 371, 499)(343, 471, 370, 498)(349, 477, 374, 502)(350, 478, 373, 501)(351, 479, 367, 495)(352, 480, 366, 494)(357, 485, 377, 505)(360, 488, 378, 506)(363, 491, 380, 508)(364, 492, 379, 507)(369, 497, 381, 509)(372, 500, 382, 510)(375, 503, 384, 512)(376, 504, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 301)(23, 265)(24, 304)(25, 267)(26, 305)(27, 308)(28, 270)(29, 268)(30, 309)(31, 312)(32, 315)(33, 271)(34, 318)(35, 273)(36, 319)(37, 322)(38, 276)(39, 274)(40, 323)(41, 313)(42, 311)(43, 277)(44, 328)(45, 279)(46, 329)(47, 332)(48, 282)(49, 280)(50, 333)(51, 335)(52, 286)(53, 283)(54, 336)(55, 299)(56, 297)(57, 287)(58, 342)(59, 289)(60, 343)(61, 346)(62, 292)(63, 290)(64, 347)(65, 349)(66, 296)(67, 293)(68, 350)(69, 354)(70, 355)(71, 358)(72, 302)(73, 300)(74, 359)(75, 361)(76, 306)(77, 303)(78, 362)(79, 310)(80, 307)(81, 356)(82, 353)(83, 366)(84, 367)(85, 370)(86, 316)(87, 314)(88, 371)(89, 373)(90, 320)(91, 317)(92, 374)(93, 324)(94, 321)(95, 368)(96, 365)(97, 337)(98, 326)(99, 325)(100, 338)(101, 379)(102, 330)(103, 327)(104, 380)(105, 334)(106, 331)(107, 378)(108, 377)(109, 351)(110, 340)(111, 339)(112, 352)(113, 383)(114, 344)(115, 341)(116, 384)(117, 348)(118, 345)(119, 382)(120, 381)(121, 363)(122, 364)(123, 360)(124, 357)(125, 375)(126, 376)(127, 372)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1908
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1905 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26545>$ (small group id <256, 26545>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y2 * Y3)^2, (R * Y3)^2, (R * Y1)^2, Y3^-1 * Y1 * Y3^2 * Y1 * Y3^-1, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3^-1 * Y1)^4, (R * Y2 * Y1 * Y2)^2, Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 31, 159)(22, 150, 43, 171)(23, 151, 45, 173)(25, 153, 44, 172)(27, 155, 50, 178)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 53, 181)(32, 160, 56, 184)(33, 161, 58, 186)(35, 163, 57, 185)(37, 165, 63, 191)(40, 168, 66, 194)(41, 169, 67, 195)(42, 170, 69, 197)(46, 174, 74, 202)(47, 175, 71, 199)(48, 176, 72, 200)(49, 177, 77, 205)(51, 179, 80, 208)(52, 180, 81, 209)(54, 182, 82, 210)(55, 183, 84, 212)(59, 187, 89, 217)(60, 188, 86, 214)(61, 189, 87, 215)(62, 190, 92, 220)(64, 192, 95, 223)(65, 193, 96, 224)(68, 196, 83, 211)(70, 198, 101, 229)(73, 201, 104, 232)(75, 203, 91, 219)(76, 204, 90, 218)(78, 206, 107, 235)(79, 207, 108, 236)(85, 213, 113, 241)(88, 216, 116, 244)(93, 221, 119, 247)(94, 222, 120, 248)(97, 225, 121, 249)(98, 226, 110, 238)(99, 227, 111, 239)(100, 228, 122, 250)(102, 230, 115, 243)(103, 231, 114, 242)(105, 233, 118, 246)(106, 234, 117, 245)(109, 237, 125, 253)(112, 240, 126, 254)(123, 251, 128, 256)(124, 252, 127, 255)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 298, 426)(279, 407, 297, 425)(280, 408, 302, 430)(282, 410, 305, 433)(284, 412, 308, 436)(285, 413, 307, 435)(288, 416, 311, 439)(289, 417, 310, 438)(290, 418, 315, 443)(292, 420, 318, 446)(294, 422, 321, 449)(295, 423, 320, 448)(299, 427, 326, 454)(300, 428, 324, 452)(301, 429, 329, 457)(303, 431, 332, 460)(304, 432, 331, 459)(306, 434, 333, 461)(309, 437, 330, 458)(312, 440, 341, 469)(313, 441, 339, 467)(314, 442, 344, 472)(316, 444, 347, 475)(317, 445, 346, 474)(319, 447, 348, 476)(322, 450, 345, 473)(323, 451, 353, 481)(325, 453, 356, 484)(327, 455, 359, 487)(328, 456, 358, 486)(334, 462, 361, 489)(335, 463, 362, 490)(336, 464, 354, 482)(337, 465, 355, 483)(338, 466, 365, 493)(340, 468, 368, 496)(342, 470, 371, 499)(343, 471, 370, 498)(349, 477, 373, 501)(350, 478, 374, 502)(351, 479, 366, 494)(352, 480, 367, 495)(357, 485, 378, 506)(360, 488, 377, 505)(363, 491, 380, 508)(364, 492, 379, 507)(369, 497, 382, 510)(372, 500, 381, 509)(375, 503, 384, 512)(376, 504, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 297)(22, 300)(23, 265)(24, 303)(25, 267)(26, 304)(27, 307)(28, 270)(29, 268)(30, 308)(31, 310)(32, 313)(33, 271)(34, 316)(35, 273)(36, 317)(37, 320)(38, 276)(39, 274)(40, 321)(41, 324)(42, 277)(43, 327)(44, 279)(45, 328)(46, 331)(47, 282)(48, 280)(49, 332)(50, 334)(51, 286)(52, 283)(53, 335)(54, 339)(55, 287)(56, 342)(57, 289)(58, 343)(59, 346)(60, 292)(61, 290)(62, 347)(63, 349)(64, 296)(65, 293)(66, 350)(67, 354)(68, 298)(69, 355)(70, 358)(71, 301)(72, 299)(73, 359)(74, 361)(75, 305)(76, 302)(77, 362)(78, 309)(79, 306)(80, 353)(81, 356)(82, 366)(83, 311)(84, 367)(85, 370)(86, 314)(87, 312)(88, 371)(89, 373)(90, 318)(91, 315)(92, 374)(93, 322)(94, 319)(95, 365)(96, 368)(97, 337)(98, 325)(99, 323)(100, 336)(101, 379)(102, 329)(103, 326)(104, 380)(105, 333)(106, 330)(107, 377)(108, 378)(109, 352)(110, 340)(111, 338)(112, 351)(113, 383)(114, 344)(115, 341)(116, 384)(117, 348)(118, 345)(119, 381)(120, 382)(121, 364)(122, 363)(123, 360)(124, 357)(125, 376)(126, 375)(127, 372)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1909
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1906 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26541>$ (small group id <256, 26541>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1 * Y3)^2, (R * Y1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, Y1^4, R * Y2 * R * Y3^2 * Y2, Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1 * R)^2, Y2 * Y1^-1 * Y2 * Y1^2 * Y3^2 * Y1^-1, (Y3^3 * Y1^-1)^2, Y2 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y2 * Y1^-1, Y3^-1 * Y2 * Y1^2 * Y3^-1 * Y2 * Y1^-2, (Y3 * Y1^-1)^4, Y3^8 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 43, 171, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 65, 193, 27, 155)(10, 138, 31, 159, 62, 190, 23, 151)(12, 140, 37, 165, 58, 186, 39, 167)(14, 142, 42, 170, 86, 214, 35, 163)(16, 144, 46, 174, 64, 192, 48, 176)(18, 146, 51, 179, 88, 216, 52, 180)(19, 147, 24, 152, 63, 191, 53, 181)(21, 149, 34, 162, 61, 189, 54, 182)(22, 150, 57, 185, 104, 232, 59, 187)(26, 154, 69, 197, 44, 172, 71, 199)(28, 156, 72, 200, 117, 245, 67, 195)(29, 157, 73, 201, 45, 173, 75, 203)(32, 160, 66, 194, 40, 168, 78, 206)(36, 164, 87, 215, 106, 234, 68, 196)(38, 166, 91, 219, 123, 251, 93, 221)(41, 169, 82, 210, 120, 248, 94, 222)(47, 175, 99, 227, 114, 242, 80, 208)(49, 177, 102, 230, 110, 238, 76, 204)(50, 178, 81, 209, 111, 239, 79, 207)(55, 183, 103, 231, 112, 240, 77, 205)(56, 184, 89, 217, 115, 243, 83, 211)(60, 188, 108, 236, 92, 220, 105, 233)(70, 198, 119, 247, 95, 223, 121, 249)(74, 202, 124, 252, 101, 229, 113, 241)(84, 212, 126, 254, 97, 225, 109, 237)(85, 213, 107, 235, 90, 218, 122, 250)(96, 224, 118, 246, 98, 226, 116, 244)(100, 228, 125, 253, 128, 256, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 296, 424)(271, 399, 300, 428)(272, 400, 283, 411)(273, 401, 305, 433)(275, 403, 297, 425)(276, 404, 298, 426)(277, 405, 294, 422)(279, 407, 316, 444)(280, 408, 314, 442)(281, 409, 322, 450)(285, 413, 315, 443)(286, 414, 332, 460)(287, 415, 328, 456)(288, 416, 326, 454)(289, 417, 337, 465)(291, 419, 340, 468)(292, 420, 339, 467)(293, 421, 345, 473)(295, 423, 330, 458)(299, 427, 338, 466)(301, 429, 352, 480)(302, 430, 354, 482)(303, 431, 325, 453)(304, 432, 313, 441)(306, 434, 341, 469)(307, 435, 331, 459)(308, 436, 317, 445)(309, 437, 358, 486)(310, 438, 351, 479)(311, 439, 321, 449)(312, 440, 348, 476)(318, 446, 366, 494)(319, 447, 364, 492)(320, 448, 363, 491)(323, 451, 371, 499)(324, 452, 370, 498)(327, 455, 365, 493)(329, 457, 379, 507)(333, 461, 372, 500)(334, 462, 378, 506)(335, 463, 360, 488)(336, 464, 376, 504)(342, 470, 369, 497)(343, 471, 382, 510)(344, 472, 368, 496)(346, 474, 383, 511)(347, 475, 381, 509)(349, 477, 367, 495)(350, 478, 380, 508)(353, 481, 373, 501)(355, 483, 361, 489)(356, 484, 374, 502)(357, 485, 362, 490)(359, 487, 377, 505)(375, 503, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 294)(13, 297)(14, 259)(15, 261)(16, 303)(17, 306)(18, 300)(19, 296)(20, 310)(21, 262)(22, 314)(23, 317)(24, 263)(25, 323)(26, 326)(27, 270)(28, 264)(29, 330)(30, 333)(31, 334)(32, 266)(33, 324)(34, 339)(35, 341)(36, 267)(37, 269)(38, 348)(39, 315)(40, 345)(41, 274)(42, 321)(43, 329)(44, 352)(45, 271)(46, 273)(47, 356)(48, 357)(49, 354)(50, 340)(51, 350)(52, 316)(53, 359)(54, 318)(55, 276)(56, 277)(57, 361)(58, 363)(59, 284)(60, 278)(61, 365)(62, 367)(63, 302)(64, 280)(65, 362)(66, 370)(67, 372)(68, 281)(69, 283)(70, 376)(71, 308)(72, 360)(73, 286)(74, 381)(75, 382)(76, 379)(77, 371)(78, 309)(79, 287)(80, 288)(81, 299)(82, 289)(83, 368)(84, 290)(85, 305)(86, 375)(87, 307)(88, 292)(89, 383)(90, 293)(91, 295)(92, 374)(93, 366)(94, 377)(95, 298)(96, 373)(97, 301)(98, 364)(99, 304)(100, 312)(101, 311)(102, 378)(103, 380)(104, 343)(105, 349)(106, 313)(107, 342)(108, 344)(109, 384)(110, 351)(111, 355)(112, 319)(113, 320)(114, 337)(115, 322)(116, 332)(117, 346)(118, 325)(119, 327)(120, 347)(121, 358)(122, 328)(123, 338)(124, 331)(125, 336)(126, 335)(127, 353)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1903
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1907 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26539>$ (small group id <256, 26539>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^4, (Y2 * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1^-2, Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-2 * Y2 * Y1^-1, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^2 * Y3, (Y3 * Y1^-1)^4, Y2 * Y3^-1 * Y1^-1 * R * Y1 * Y3^-1 * Y1 * Y2 * R * Y1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 31, 159, 13, 141)(4, 132, 15, 143, 41, 169, 17, 145)(6, 134, 20, 148, 29, 157, 9, 137)(8, 136, 24, 152, 61, 189, 26, 154)(10, 138, 30, 158, 59, 187, 22, 150)(12, 140, 35, 163, 55, 183, 37, 165)(14, 142, 40, 168, 80, 208, 33, 161)(16, 144, 44, 172, 92, 220, 45, 173)(18, 146, 48, 176, 79, 207, 49, 177)(19, 147, 23, 151, 60, 188, 51, 179)(21, 149, 54, 182, 100, 228, 56, 184)(25, 153, 65, 193, 42, 170, 67, 195)(27, 155, 70, 198, 39, 167, 63, 191)(28, 156, 71, 199, 38, 166, 72, 200)(32, 160, 58, 186, 106, 234, 68, 196)(34, 162, 81, 209, 101, 229, 64, 192)(36, 164, 84, 212, 119, 247, 85, 213)(43, 171, 91, 219, 103, 231, 62, 190)(46, 174, 96, 224, 107, 235, 73, 201)(47, 175, 77, 205, 108, 236, 76, 204)(50, 178, 98, 226, 104, 232, 75, 203)(52, 180, 57, 185, 105, 233, 69, 197)(53, 181, 99, 227, 109, 237, 74, 202)(66, 194, 113, 241, 89, 217, 114, 242)(78, 206, 116, 244, 82, 210, 120, 248)(83, 211, 118, 246, 97, 225, 102, 230)(86, 214, 117, 245, 95, 223, 123, 251)(87, 215, 115, 243, 94, 222, 121, 249)(88, 216, 110, 238, 126, 254, 111, 239)(90, 218, 112, 240, 93, 221, 122, 250)(124, 252, 127, 255, 125, 253, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 277, 405)(265, 393, 283, 411)(266, 394, 281, 409)(267, 395, 288, 416)(269, 397, 294, 422)(271, 399, 298, 426)(272, 400, 292, 420)(273, 401, 302, 430)(275, 403, 306, 434)(276, 404, 308, 436)(278, 406, 313, 441)(279, 407, 311, 439)(280, 408, 318, 446)(282, 410, 324, 452)(284, 412, 322, 450)(285, 413, 329, 457)(286, 414, 331, 459)(287, 415, 333, 461)(289, 417, 316, 444)(290, 418, 334, 462)(291, 419, 338, 466)(293, 421, 342, 470)(295, 423, 343, 471)(296, 424, 344, 472)(297, 425, 319, 447)(299, 427, 346, 474)(300, 428, 349, 477)(301, 429, 310, 438)(303, 431, 353, 481)(304, 432, 328, 456)(305, 433, 348, 476)(307, 435, 352, 480)(309, 437, 317, 445)(312, 440, 359, 487)(314, 442, 358, 486)(315, 443, 363, 491)(320, 448, 366, 494)(321, 449, 367, 495)(323, 451, 371, 499)(325, 453, 372, 500)(326, 454, 373, 501)(327, 455, 375, 503)(330, 458, 378, 506)(332, 460, 356, 484)(335, 463, 365, 493)(336, 464, 379, 507)(337, 465, 377, 505)(339, 467, 380, 508)(340, 468, 381, 509)(341, 469, 364, 492)(345, 473, 362, 490)(347, 475, 374, 502)(350, 478, 361, 489)(351, 479, 357, 485)(354, 482, 376, 504)(355, 483, 370, 498)(360, 488, 382, 510)(368, 496, 383, 511)(369, 497, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 278)(8, 281)(9, 284)(10, 258)(11, 289)(12, 292)(13, 295)(14, 259)(15, 261)(16, 262)(17, 303)(18, 298)(19, 299)(20, 301)(21, 311)(22, 314)(23, 263)(24, 319)(25, 322)(26, 325)(27, 264)(28, 266)(29, 330)(30, 328)(31, 320)(32, 334)(33, 335)(34, 267)(35, 269)(36, 270)(37, 312)(38, 338)(39, 339)(40, 341)(41, 318)(42, 346)(43, 271)(44, 273)(45, 351)(46, 349)(47, 350)(48, 331)(49, 336)(50, 274)(51, 355)(52, 317)(53, 276)(54, 308)(55, 358)(56, 360)(57, 277)(58, 279)(59, 364)(60, 288)(61, 357)(62, 366)(63, 287)(64, 280)(65, 282)(66, 283)(67, 305)(68, 367)(69, 368)(70, 370)(71, 285)(72, 377)(73, 375)(74, 376)(75, 356)(76, 286)(77, 297)(78, 365)(79, 290)(80, 369)(81, 304)(82, 380)(83, 291)(84, 293)(85, 363)(86, 381)(87, 294)(88, 362)(89, 296)(90, 306)(91, 307)(92, 371)(93, 361)(94, 300)(95, 309)(96, 374)(97, 302)(98, 378)(99, 373)(100, 337)(101, 310)(102, 313)(103, 342)(104, 340)(105, 353)(106, 315)(107, 345)(108, 344)(109, 316)(110, 333)(111, 383)(112, 321)(113, 323)(114, 352)(115, 384)(116, 324)(117, 347)(118, 326)(119, 354)(120, 327)(121, 332)(122, 329)(123, 348)(124, 343)(125, 382)(126, 359)(127, 372)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1902
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1908 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26539>$ (small group id <256, 26539>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, Y3^4, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1^2 * Y3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-2 * Y3 * Y2 * Y1^-1, (Y3 * Y1^-1)^4, (Y2 * Y1 * Y2 * Y1^-1)^2, Y3^-2 * Y1^2 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 31, 159, 13, 141)(4, 132, 15, 143, 41, 169, 17, 145)(6, 134, 20, 148, 29, 157, 9, 137)(8, 136, 24, 152, 61, 189, 26, 154)(10, 138, 30, 158, 59, 187, 22, 150)(12, 140, 35, 163, 64, 192, 37, 165)(14, 142, 40, 168, 57, 185, 33, 161)(16, 144, 44, 172, 62, 190, 45, 173)(18, 146, 48, 176, 97, 225, 49, 177)(19, 147, 23, 151, 60, 188, 51, 179)(21, 149, 54, 182, 100, 228, 56, 184)(25, 153, 65, 193, 102, 230, 67, 195)(27, 155, 70, 198, 50, 178, 63, 191)(28, 156, 71, 199, 101, 229, 72, 200)(32, 160, 78, 206, 43, 171, 68, 196)(34, 162, 82, 210, 42, 170, 73, 201)(36, 164, 83, 211, 116, 244, 84, 212)(38, 166, 87, 215, 106, 234, 58, 186)(39, 167, 77, 205, 105, 233, 69, 197)(46, 174, 96, 224, 104, 232, 55, 183)(47, 175, 91, 219, 107, 235, 76, 204)(52, 180, 90, 218, 108, 236, 75, 203)(53, 181, 98, 226, 109, 237, 74, 202)(66, 194, 113, 241, 94, 222, 114, 242)(79, 207, 117, 245, 95, 223, 111, 239)(80, 208, 124, 252, 88, 216, 115, 243)(81, 209, 103, 231, 99, 227, 120, 248)(85, 213, 118, 246, 126, 254, 119, 247)(86, 214, 112, 240, 92, 220, 122, 250)(89, 217, 110, 238, 93, 221, 121, 249)(123, 251, 127, 255, 125, 253, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 277, 405)(265, 393, 283, 411)(266, 394, 281, 409)(267, 395, 288, 416)(269, 397, 294, 422)(271, 399, 298, 426)(272, 400, 292, 420)(273, 401, 302, 430)(275, 403, 306, 434)(276, 404, 308, 436)(278, 406, 313, 441)(279, 407, 311, 439)(280, 408, 318, 446)(282, 410, 324, 452)(284, 412, 322, 450)(285, 413, 329, 457)(286, 414, 331, 459)(287, 415, 330, 458)(289, 417, 336, 464)(290, 418, 335, 463)(291, 419, 315, 443)(293, 421, 341, 469)(295, 423, 344, 472)(296, 424, 345, 473)(297, 425, 346, 474)(299, 427, 348, 476)(300, 428, 312, 440)(301, 429, 350, 478)(303, 431, 353, 481)(304, 432, 343, 471)(305, 433, 327, 455)(307, 435, 321, 449)(309, 437, 355, 483)(310, 438, 357, 485)(314, 442, 359, 487)(316, 444, 364, 492)(317, 445, 363, 491)(319, 447, 367, 495)(320, 448, 366, 494)(323, 451, 371, 499)(325, 453, 373, 501)(326, 454, 374, 502)(328, 456, 376, 504)(332, 460, 378, 506)(333, 461, 375, 503)(334, 462, 372, 500)(337, 465, 379, 507)(338, 466, 377, 505)(339, 467, 365, 493)(340, 468, 381, 509)(342, 470, 362, 490)(347, 475, 369, 497)(349, 477, 361, 489)(351, 479, 360, 488)(352, 480, 380, 508)(354, 482, 356, 484)(358, 486, 382, 510)(368, 496, 383, 511)(370, 498, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 278)(8, 281)(9, 284)(10, 258)(11, 289)(12, 292)(13, 295)(14, 259)(15, 261)(16, 262)(17, 303)(18, 298)(19, 299)(20, 301)(21, 311)(22, 314)(23, 263)(24, 319)(25, 322)(26, 325)(27, 264)(28, 266)(29, 330)(30, 328)(31, 329)(32, 335)(33, 337)(34, 267)(35, 269)(36, 270)(37, 342)(38, 315)(39, 317)(40, 340)(41, 334)(42, 348)(43, 271)(44, 273)(45, 351)(46, 312)(47, 349)(48, 326)(49, 333)(50, 274)(51, 354)(52, 355)(53, 276)(54, 296)(55, 359)(56, 361)(57, 277)(58, 279)(59, 363)(60, 362)(61, 291)(62, 366)(63, 368)(64, 280)(65, 282)(66, 283)(67, 372)(68, 307)(69, 356)(70, 370)(71, 285)(72, 377)(73, 305)(74, 375)(75, 378)(76, 286)(77, 287)(78, 371)(79, 379)(80, 288)(81, 290)(82, 376)(83, 293)(84, 358)(85, 365)(86, 364)(87, 380)(88, 294)(89, 357)(90, 369)(91, 297)(92, 306)(93, 300)(94, 308)(95, 309)(96, 304)(97, 302)(98, 373)(99, 360)(100, 321)(101, 382)(102, 310)(103, 313)(104, 350)(105, 353)(106, 341)(107, 344)(108, 339)(109, 316)(110, 383)(111, 318)(112, 320)(113, 323)(114, 352)(115, 347)(116, 346)(117, 324)(118, 343)(119, 327)(120, 331)(121, 332)(122, 338)(123, 336)(124, 384)(125, 345)(126, 381)(127, 367)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1904
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1909 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 932>$ (small group id <128, 932>)
Aut   = $<256, 26545>$ (small group id <256, 26545>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (R * Y1^-1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y2 * Y1 * Y3^-2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^4, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^2 * Y3^-1)^2, Y3 * Y2 * Y1^-1 * Y2 * Y3^3 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 65, 193, 27, 155)(10, 138, 31, 159, 62, 190, 23, 151)(12, 140, 35, 163, 83, 211, 37, 165)(14, 142, 40, 168, 60, 188, 34, 162)(16, 144, 45, 173, 64, 192, 38, 166)(18, 146, 36, 164, 86, 214, 48, 176)(19, 147, 24, 152, 63, 191, 51, 179)(21, 149, 55, 183, 61, 189, 53, 181)(22, 150, 57, 185, 104, 232, 59, 187)(26, 154, 67, 195, 115, 243, 68, 196)(28, 156, 71, 199, 49, 177, 66, 194)(29, 157, 73, 201, 44, 172, 69, 197)(32, 160, 79, 207, 50, 178, 77, 205)(39, 167, 81, 209, 107, 235, 70, 198)(41, 169, 91, 219, 118, 246, 90, 218)(43, 171, 95, 223, 122, 250, 96, 224)(46, 174, 88, 216, 126, 254, 80, 208)(47, 175, 94, 222, 110, 238, 78, 206)(52, 180, 93, 221, 111, 239, 76, 204)(54, 182, 101, 229, 112, 240, 75, 203)(56, 184, 100, 228, 124, 252, 103, 231)(58, 186, 105, 233, 92, 220, 106, 234)(72, 200, 121, 249, 102, 230, 120, 248)(74, 202, 119, 247, 84, 212, 113, 241)(82, 210, 108, 236, 85, 213, 125, 253)(87, 215, 114, 242, 99, 227, 117, 245)(89, 217, 109, 237, 98, 226, 116, 244)(97, 225, 123, 251, 128, 256, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 288, 416)(269, 397, 294, 422)(271, 399, 299, 427)(272, 400, 297, 425)(273, 401, 293, 421)(275, 403, 305, 433)(276, 404, 308, 436)(277, 405, 292, 420)(279, 407, 316, 444)(280, 408, 314, 442)(281, 409, 320, 448)(283, 411, 325, 453)(285, 413, 328, 456)(286, 414, 324, 452)(287, 415, 332, 460)(289, 417, 331, 459)(290, 418, 336, 464)(291, 419, 340, 468)(295, 423, 344, 472)(296, 424, 345, 473)(298, 426, 349, 477)(300, 428, 313, 441)(301, 429, 343, 471)(302, 430, 348, 476)(303, 431, 342, 470)(304, 432, 335, 463)(306, 434, 355, 483)(307, 435, 352, 480)(309, 437, 358, 486)(310, 438, 341, 469)(311, 439, 315, 443)(312, 440, 327, 455)(317, 445, 364, 492)(318, 446, 362, 490)(319, 447, 367, 495)(321, 449, 366, 494)(322, 450, 369, 497)(323, 451, 372, 500)(326, 454, 375, 503)(329, 457, 374, 502)(330, 458, 378, 506)(333, 461, 381, 509)(334, 462, 373, 501)(337, 465, 380, 508)(338, 466, 379, 507)(339, 467, 365, 493)(346, 474, 383, 511)(347, 475, 368, 496)(350, 478, 377, 505)(351, 479, 382, 510)(353, 481, 376, 504)(354, 482, 363, 491)(356, 484, 371, 499)(357, 485, 360, 488)(359, 487, 361, 489)(370, 498, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 290)(12, 292)(13, 295)(14, 259)(15, 261)(16, 302)(17, 303)(18, 299)(19, 306)(20, 309)(21, 262)(22, 314)(23, 317)(24, 263)(25, 322)(26, 267)(27, 326)(28, 264)(29, 330)(30, 331)(31, 333)(32, 266)(33, 324)(34, 338)(35, 269)(36, 327)(37, 343)(38, 340)(39, 321)(40, 346)(41, 270)(42, 329)(43, 313)(44, 271)(45, 273)(46, 353)(47, 354)(48, 337)(49, 274)(50, 356)(51, 357)(52, 341)(53, 318)(54, 276)(55, 359)(56, 277)(57, 296)(58, 281)(59, 363)(60, 278)(61, 365)(62, 366)(63, 301)(64, 280)(65, 362)(66, 370)(67, 283)(68, 374)(69, 372)(70, 360)(71, 376)(72, 284)(73, 286)(74, 379)(75, 380)(76, 373)(77, 307)(78, 287)(79, 382)(80, 288)(81, 289)(82, 378)(83, 364)(84, 310)(85, 291)(86, 293)(87, 367)(88, 294)(89, 300)(90, 371)(91, 361)(92, 297)(93, 377)(94, 298)(95, 304)(96, 381)(97, 312)(98, 311)(99, 305)(100, 383)(101, 375)(102, 308)(103, 368)(104, 352)(105, 315)(106, 358)(107, 342)(108, 316)(109, 384)(110, 344)(111, 347)(112, 319)(113, 320)(114, 339)(115, 355)(116, 334)(117, 323)(118, 349)(119, 325)(120, 348)(121, 351)(122, 328)(123, 336)(124, 335)(125, 332)(126, 350)(127, 345)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1905
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1910 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26541>$ (small group id <256, 26541>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^4, (Y3^-1 * Y1)^4, (Y3^-1 * Y1 * Y3 * Y1)^2, Y3^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 30, 158)(16, 144, 37, 165)(17, 145, 39, 167)(19, 147, 43, 171)(21, 149, 34, 162)(22, 150, 40, 168)(23, 151, 44, 172)(25, 153, 53, 181)(27, 155, 35, 163)(28, 156, 46, 174)(29, 157, 42, 170)(31, 159, 36, 164)(32, 160, 45, 173)(33, 161, 41, 169)(38, 166, 72, 200)(47, 175, 69, 197)(48, 176, 73, 201)(49, 177, 79, 207)(50, 178, 66, 194)(51, 179, 83, 211)(52, 180, 77, 205)(54, 182, 67, 195)(55, 183, 82, 210)(56, 184, 76, 204)(57, 185, 75, 203)(58, 186, 71, 199)(59, 187, 80, 208)(60, 188, 68, 196)(61, 189, 78, 206)(62, 190, 84, 212)(63, 191, 74, 202)(64, 192, 70, 198)(65, 193, 81, 209)(85, 213, 104, 232)(86, 214, 108, 236)(87, 215, 102, 230)(88, 216, 111, 239)(89, 217, 100, 228)(90, 218, 110, 238)(91, 219, 114, 242)(92, 220, 107, 235)(93, 221, 101, 229)(94, 222, 112, 240)(95, 223, 105, 233)(96, 224, 103, 231)(97, 225, 109, 237)(98, 226, 113, 241)(99, 227, 106, 234)(115, 243, 122, 250)(116, 244, 121, 249)(117, 245, 125, 253)(118, 246, 126, 254)(119, 247, 123, 251)(120, 248, 124, 252)(127, 255, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 287, 415)(271, 399, 290, 418)(274, 402, 296, 424)(275, 403, 294, 422)(276, 404, 300, 428)(278, 406, 304, 432)(279, 407, 303, 431)(280, 408, 306, 434)(282, 410, 310, 438)(284, 412, 314, 442)(285, 413, 313, 441)(286, 414, 316, 444)(288, 416, 320, 448)(289, 417, 319, 447)(291, 419, 323, 451)(292, 420, 322, 450)(293, 421, 325, 453)(295, 423, 329, 457)(297, 425, 333, 461)(298, 426, 332, 460)(299, 427, 335, 463)(301, 429, 339, 467)(302, 430, 338, 466)(305, 433, 341, 469)(307, 435, 343, 471)(308, 436, 342, 470)(309, 437, 345, 473)(311, 439, 349, 477)(312, 440, 348, 476)(315, 443, 351, 479)(317, 445, 353, 481)(318, 446, 352, 480)(321, 449, 355, 483)(324, 452, 356, 484)(326, 454, 358, 486)(327, 455, 357, 485)(328, 456, 360, 488)(330, 458, 364, 492)(331, 459, 363, 491)(334, 462, 366, 494)(336, 464, 368, 496)(337, 465, 367, 495)(340, 468, 370, 498)(344, 472, 371, 499)(346, 474, 373, 501)(347, 475, 372, 500)(350, 478, 375, 503)(354, 482, 376, 504)(359, 487, 377, 505)(361, 489, 379, 507)(362, 490, 378, 506)(365, 493, 381, 509)(369, 497, 382, 510)(374, 502, 383, 511)(380, 508, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 288)(15, 291)(16, 294)(17, 262)(18, 297)(19, 264)(20, 301)(21, 303)(22, 305)(23, 265)(24, 307)(25, 267)(26, 311)(27, 313)(28, 315)(29, 268)(30, 317)(31, 319)(32, 321)(33, 270)(34, 322)(35, 324)(36, 271)(37, 326)(38, 273)(39, 330)(40, 332)(41, 334)(42, 274)(43, 336)(44, 338)(45, 340)(46, 276)(47, 341)(48, 277)(49, 279)(50, 342)(51, 344)(52, 280)(53, 346)(54, 348)(55, 350)(56, 282)(57, 351)(58, 283)(59, 285)(60, 352)(61, 354)(62, 286)(63, 355)(64, 287)(65, 289)(66, 356)(67, 290)(68, 292)(69, 357)(70, 359)(71, 293)(72, 361)(73, 363)(74, 365)(75, 295)(76, 366)(77, 296)(78, 298)(79, 367)(80, 369)(81, 299)(82, 370)(83, 300)(84, 302)(85, 304)(86, 371)(87, 306)(88, 308)(89, 372)(90, 374)(91, 309)(92, 375)(93, 310)(94, 312)(95, 314)(96, 376)(97, 316)(98, 318)(99, 320)(100, 323)(101, 377)(102, 325)(103, 327)(104, 378)(105, 380)(106, 328)(107, 381)(108, 329)(109, 331)(110, 333)(111, 382)(112, 335)(113, 337)(114, 339)(115, 343)(116, 383)(117, 345)(118, 347)(119, 349)(120, 353)(121, 358)(122, 384)(123, 360)(124, 362)(125, 364)(126, 368)(127, 373)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1914
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1911 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26531>$ (small group id <256, 26531>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3 * Y1)^2, (Y3^-1 * Y1)^4, (Y3 * Y1 * Y3^-1 * Y1)^2, Y2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y1, Y2 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1, Y2 * R * Y1 * Y3 * Y1 * Y2 * R * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y3 * Y2 * Y1)^2, (Y2 * Y1 * Y3^-1 * Y2 * Y1)^2, (Y3^-2 * Y1 * Y2 * Y1)^2, (Y2 * Y1 * Y2 * R * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1 * Y3^-2 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 30, 158)(16, 144, 37, 165)(17, 145, 39, 167)(19, 147, 43, 171)(21, 149, 47, 175)(22, 150, 50, 178)(23, 151, 52, 180)(25, 153, 56, 184)(27, 155, 60, 188)(28, 156, 46, 174)(29, 157, 42, 170)(31, 159, 67, 195)(32, 160, 45, 173)(33, 161, 41, 169)(34, 162, 71, 199)(35, 163, 74, 202)(36, 164, 76, 204)(38, 166, 80, 208)(40, 168, 84, 212)(44, 172, 91, 219)(48, 176, 77, 205)(49, 177, 81, 209)(51, 179, 88, 216)(53, 181, 72, 200)(54, 182, 85, 213)(55, 183, 92, 220)(57, 185, 73, 201)(58, 186, 86, 214)(59, 187, 93, 221)(61, 189, 78, 206)(62, 190, 82, 210)(63, 191, 89, 217)(64, 192, 75, 203)(65, 193, 87, 215)(66, 194, 94, 222)(68, 196, 79, 207)(69, 197, 83, 211)(70, 198, 90, 218)(95, 223, 123, 251)(96, 224, 124, 252)(97, 225, 125, 253)(98, 226, 112, 240)(99, 227, 113, 241)(100, 228, 117, 245)(101, 229, 120, 248)(102, 230, 116, 244)(103, 231, 114, 242)(104, 232, 118, 246)(105, 233, 121, 249)(106, 234, 115, 243)(107, 235, 119, 247)(108, 236, 122, 250)(109, 237, 126, 254)(110, 238, 127, 255)(111, 239, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 287, 415)(271, 399, 290, 418)(274, 402, 296, 424)(275, 403, 294, 422)(276, 404, 300, 428)(278, 406, 305, 433)(279, 407, 304, 432)(280, 408, 309, 437)(282, 410, 313, 441)(284, 412, 318, 446)(285, 413, 317, 445)(286, 414, 320, 448)(288, 416, 325, 453)(289, 417, 324, 452)(291, 419, 329, 457)(292, 420, 328, 456)(293, 421, 333, 461)(295, 423, 337, 465)(297, 425, 342, 470)(298, 426, 341, 469)(299, 427, 344, 472)(301, 429, 349, 477)(302, 430, 348, 476)(303, 431, 351, 479)(306, 434, 350, 478)(307, 435, 354, 482)(308, 436, 343, 471)(310, 438, 356, 484)(311, 439, 355, 483)(312, 440, 358, 486)(314, 442, 360, 488)(315, 443, 359, 487)(316, 444, 353, 481)(319, 447, 332, 460)(321, 449, 363, 491)(322, 450, 362, 490)(323, 451, 352, 480)(326, 454, 330, 458)(327, 455, 365, 493)(331, 459, 368, 496)(334, 462, 370, 498)(335, 463, 369, 497)(336, 464, 372, 500)(338, 466, 374, 502)(339, 467, 373, 501)(340, 468, 367, 495)(345, 473, 377, 505)(346, 474, 376, 504)(347, 475, 366, 494)(357, 485, 381, 509)(361, 489, 380, 508)(364, 492, 379, 507)(371, 499, 384, 512)(375, 503, 383, 511)(378, 506, 382, 510)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 288)(15, 291)(16, 294)(17, 262)(18, 297)(19, 264)(20, 301)(21, 304)(22, 307)(23, 265)(24, 310)(25, 267)(26, 314)(27, 317)(28, 319)(29, 268)(30, 321)(31, 324)(32, 326)(33, 270)(34, 328)(35, 331)(36, 271)(37, 334)(38, 273)(39, 338)(40, 341)(41, 343)(42, 274)(43, 345)(44, 348)(45, 350)(46, 276)(47, 352)(48, 354)(49, 277)(50, 349)(51, 279)(52, 342)(53, 355)(54, 357)(55, 280)(56, 347)(57, 359)(58, 361)(59, 282)(60, 336)(61, 332)(62, 283)(63, 285)(64, 362)(65, 364)(66, 286)(67, 351)(68, 330)(69, 287)(70, 289)(71, 366)(72, 368)(73, 290)(74, 325)(75, 292)(76, 318)(77, 369)(78, 371)(79, 293)(80, 323)(81, 373)(82, 375)(83, 295)(84, 312)(85, 308)(86, 296)(87, 298)(88, 376)(89, 378)(90, 299)(91, 365)(92, 306)(93, 300)(94, 302)(95, 316)(96, 372)(97, 303)(98, 305)(99, 381)(100, 309)(101, 311)(102, 367)(103, 380)(104, 313)(105, 315)(106, 379)(107, 320)(108, 322)(109, 340)(110, 358)(111, 327)(112, 329)(113, 384)(114, 333)(115, 335)(116, 353)(117, 383)(118, 337)(119, 339)(120, 382)(121, 344)(122, 346)(123, 363)(124, 360)(125, 356)(126, 377)(127, 374)(128, 370)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1915
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1912 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26531>$ (small group id <256, 26531>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1)^4, (Y2 * Y1 * Y3)^4, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y3 * Y1)^4, (Y2 * Y1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 25, 153)(16, 144, 28, 156)(17, 145, 22, 150)(18, 146, 30, 158)(19, 147, 32, 160)(21, 149, 35, 163)(24, 152, 39, 167)(26, 154, 42, 170)(27, 155, 41, 169)(29, 157, 46, 174)(31, 159, 49, 177)(33, 161, 52, 180)(34, 162, 51, 179)(36, 164, 56, 184)(37, 165, 57, 185)(38, 166, 59, 187)(40, 168, 62, 190)(43, 171, 53, 181)(44, 172, 66, 194)(45, 173, 68, 196)(47, 175, 69, 197)(48, 176, 71, 199)(50, 178, 74, 202)(54, 182, 78, 206)(55, 183, 80, 208)(58, 186, 83, 211)(60, 188, 86, 214)(61, 189, 85, 213)(63, 191, 89, 217)(64, 192, 90, 218)(65, 193, 77, 205)(67, 195, 79, 207)(70, 198, 97, 225)(72, 200, 100, 228)(73, 201, 99, 227)(75, 203, 103, 231)(76, 204, 104, 232)(81, 209, 95, 223)(82, 210, 106, 234)(84, 212, 101, 229)(87, 215, 98, 226)(88, 216, 108, 236)(91, 219, 114, 242)(92, 220, 96, 224)(93, 221, 107, 235)(94, 222, 102, 230)(105, 233, 123, 251)(109, 237, 124, 252)(110, 238, 122, 250)(111, 239, 126, 254)(112, 240, 125, 253)(113, 241, 119, 247)(115, 243, 118, 246)(116, 244, 121, 249)(117, 245, 120, 248)(127, 255, 128, 256)(257, 385, 259, 387)(258, 386, 261, 389)(260, 388, 264, 392)(262, 390, 267, 395)(263, 391, 269, 397)(265, 393, 272, 400)(266, 394, 274, 402)(268, 396, 277, 405)(270, 398, 280, 408)(271, 399, 282, 410)(273, 401, 285, 413)(275, 403, 287, 415)(276, 404, 289, 417)(278, 406, 292, 420)(279, 407, 293, 421)(281, 409, 296, 424)(283, 411, 299, 427)(284, 412, 300, 428)(286, 414, 303, 431)(288, 416, 306, 434)(290, 418, 309, 437)(291, 419, 310, 438)(294, 422, 314, 442)(295, 423, 316, 444)(297, 425, 319, 447)(298, 426, 320, 448)(301, 429, 323, 451)(302, 430, 317, 445)(304, 432, 326, 454)(305, 433, 328, 456)(307, 435, 331, 459)(308, 436, 332, 460)(311, 439, 335, 463)(312, 440, 329, 457)(313, 441, 337, 465)(315, 443, 340, 468)(318, 446, 343, 471)(321, 449, 347, 475)(322, 450, 348, 476)(324, 452, 350, 478)(325, 453, 351, 479)(327, 455, 354, 482)(330, 458, 357, 485)(333, 461, 361, 489)(334, 462, 362, 490)(336, 464, 364, 492)(338, 466, 365, 493)(339, 467, 366, 494)(341, 469, 368, 496)(342, 470, 369, 497)(344, 472, 370, 498)(345, 473, 367, 495)(346, 474, 371, 499)(349, 477, 373, 501)(352, 480, 374, 502)(353, 481, 375, 503)(355, 483, 377, 505)(356, 484, 378, 506)(358, 486, 379, 507)(359, 487, 376, 504)(360, 488, 380, 508)(363, 491, 382, 510)(372, 500, 383, 511)(381, 509, 384, 512)
	L = (1, 260)(2, 262)(3, 264)(4, 257)(5, 267)(6, 258)(7, 270)(8, 259)(9, 273)(10, 275)(11, 261)(12, 278)(13, 280)(14, 263)(15, 283)(16, 285)(17, 265)(18, 287)(19, 266)(20, 290)(21, 292)(22, 268)(23, 294)(24, 269)(25, 297)(26, 299)(27, 271)(28, 301)(29, 272)(30, 304)(31, 274)(32, 307)(33, 309)(34, 276)(35, 311)(36, 277)(37, 314)(38, 279)(39, 317)(40, 319)(41, 281)(42, 321)(43, 282)(44, 323)(45, 284)(46, 316)(47, 326)(48, 286)(49, 329)(50, 331)(51, 288)(52, 333)(53, 289)(54, 335)(55, 291)(56, 328)(57, 338)(58, 293)(59, 341)(60, 302)(61, 295)(62, 344)(63, 296)(64, 347)(65, 298)(66, 349)(67, 300)(68, 342)(69, 352)(70, 303)(71, 355)(72, 312)(73, 305)(74, 358)(75, 306)(76, 361)(77, 308)(78, 363)(79, 310)(80, 356)(81, 365)(82, 313)(83, 367)(84, 368)(85, 315)(86, 324)(87, 370)(88, 318)(89, 366)(90, 372)(91, 320)(92, 373)(93, 322)(94, 369)(95, 374)(96, 325)(97, 376)(98, 377)(99, 327)(100, 336)(101, 379)(102, 330)(103, 375)(104, 381)(105, 332)(106, 382)(107, 334)(108, 378)(109, 337)(110, 345)(111, 339)(112, 340)(113, 350)(114, 343)(115, 383)(116, 346)(117, 348)(118, 351)(119, 359)(120, 353)(121, 354)(122, 364)(123, 357)(124, 384)(125, 360)(126, 362)(127, 371)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1917
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1913 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26531>$ (small group id <256, 26531>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y1 * Y2)^4, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 18, 146)(14, 142, 24, 152)(16, 144, 27, 155)(17, 145, 22, 150)(19, 147, 30, 158)(21, 149, 33, 161)(23, 151, 35, 163)(25, 153, 38, 166)(26, 154, 37, 165)(28, 156, 41, 169)(29, 157, 42, 170)(31, 159, 45, 173)(32, 160, 44, 172)(34, 162, 48, 176)(36, 164, 51, 179)(39, 167, 54, 182)(40, 168, 55, 183)(43, 171, 60, 188)(46, 174, 63, 191)(47, 175, 64, 192)(49, 177, 67, 195)(50, 178, 59, 187)(52, 180, 70, 198)(53, 181, 71, 199)(56, 184, 65, 193)(57, 185, 75, 203)(58, 186, 77, 205)(61, 189, 80, 208)(62, 190, 81, 209)(66, 194, 85, 213)(68, 196, 88, 216)(69, 197, 84, 212)(72, 200, 89, 217)(73, 201, 92, 220)(74, 202, 79, 207)(76, 204, 95, 223)(78, 206, 97, 225)(82, 210, 98, 226)(83, 211, 101, 229)(86, 214, 104, 232)(87, 215, 100, 228)(90, 218, 103, 231)(91, 219, 96, 224)(93, 221, 109, 237)(94, 222, 99, 227)(102, 230, 116, 244)(105, 233, 112, 240)(106, 234, 115, 243)(107, 235, 117, 245)(108, 236, 113, 241)(110, 238, 114, 242)(111, 239, 118, 246)(119, 247, 124, 252)(120, 248, 123, 251)(121, 249, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387)(258, 386, 261, 389)(260, 388, 264, 392)(262, 390, 267, 395)(263, 391, 269, 397)(265, 393, 272, 400)(266, 394, 274, 402)(268, 396, 277, 405)(270, 398, 279, 407)(271, 399, 281, 409)(273, 401, 284, 412)(275, 403, 285, 413)(276, 404, 287, 415)(278, 406, 290, 418)(280, 408, 292, 420)(282, 410, 295, 423)(283, 411, 294, 422)(286, 414, 299, 427)(288, 416, 302, 430)(289, 417, 301, 429)(291, 419, 305, 433)(293, 421, 308, 436)(296, 424, 309, 437)(297, 425, 312, 440)(298, 426, 314, 442)(300, 428, 317, 445)(303, 431, 318, 446)(304, 432, 321, 449)(306, 434, 324, 452)(307, 435, 323, 451)(310, 438, 328, 456)(311, 439, 330, 458)(313, 441, 332, 460)(315, 443, 334, 462)(316, 444, 333, 461)(319, 447, 338, 466)(320, 448, 340, 468)(322, 450, 342, 470)(325, 453, 343, 471)(326, 454, 345, 473)(327, 455, 347, 475)(329, 457, 349, 477)(331, 459, 350, 478)(335, 463, 352, 480)(336, 464, 354, 482)(337, 465, 356, 484)(339, 467, 358, 486)(341, 469, 359, 487)(344, 472, 361, 489)(346, 474, 363, 491)(348, 476, 364, 492)(351, 479, 366, 494)(353, 481, 368, 496)(355, 483, 370, 498)(357, 485, 371, 499)(360, 488, 373, 501)(362, 490, 375, 503)(365, 493, 376, 504)(367, 495, 378, 506)(369, 497, 379, 507)(372, 500, 380, 508)(374, 502, 382, 510)(377, 505, 383, 511)(381, 509, 384, 512)
	L = (1, 260)(2, 262)(3, 264)(4, 257)(5, 267)(6, 258)(7, 270)(8, 259)(9, 273)(10, 275)(11, 261)(12, 278)(13, 279)(14, 263)(15, 282)(16, 284)(17, 265)(18, 285)(19, 266)(20, 288)(21, 290)(22, 268)(23, 269)(24, 293)(25, 295)(26, 271)(27, 296)(28, 272)(29, 274)(30, 300)(31, 302)(32, 276)(33, 303)(34, 277)(35, 306)(36, 308)(37, 280)(38, 309)(39, 281)(40, 283)(41, 313)(42, 315)(43, 317)(44, 286)(45, 318)(46, 287)(47, 289)(48, 322)(49, 324)(50, 291)(51, 325)(52, 292)(53, 294)(54, 329)(55, 331)(56, 332)(57, 297)(58, 334)(59, 298)(60, 335)(61, 299)(62, 301)(63, 339)(64, 341)(65, 342)(66, 304)(67, 343)(68, 305)(69, 307)(70, 346)(71, 348)(72, 349)(73, 310)(74, 350)(75, 311)(76, 312)(77, 352)(78, 314)(79, 316)(80, 355)(81, 357)(82, 358)(83, 319)(84, 359)(85, 320)(86, 321)(87, 323)(88, 362)(89, 363)(90, 326)(91, 364)(92, 327)(93, 328)(94, 330)(95, 367)(96, 333)(97, 369)(98, 370)(99, 336)(100, 371)(101, 337)(102, 338)(103, 340)(104, 374)(105, 375)(106, 344)(107, 345)(108, 347)(109, 377)(110, 378)(111, 351)(112, 379)(113, 353)(114, 354)(115, 356)(116, 381)(117, 382)(118, 360)(119, 361)(120, 383)(121, 365)(122, 366)(123, 368)(124, 384)(125, 372)(126, 373)(127, 376)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1916
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1914 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26541>$ (small group id <256, 26541>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * Y3^-1)^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y3^-2 * Y2 * Y1, R * Y3^2 * Y2 * R * Y2, Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1 * Y3 * Y1, Y3^8, (Y3 * Y1^-1)^4, (Y3^3 * Y1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 37, 165, 57, 185, 26, 154)(14, 142, 40, 168, 82, 210, 35, 163)(16, 144, 34, 162, 63, 191, 44, 172)(18, 146, 46, 174, 81, 209, 47, 175)(19, 147, 24, 152, 62, 190, 50, 178)(21, 149, 54, 182, 60, 188, 52, 180)(22, 150, 56, 184, 102, 230, 58, 186)(28, 156, 69, 197, 39, 167, 66, 194)(29, 157, 65, 193, 38, 166, 72, 200)(32, 160, 77, 205, 49, 177, 75, 203)(36, 164, 83, 211, 103, 231, 80, 208)(41, 169, 90, 218, 123, 251, 88, 216)(43, 171, 87, 215, 124, 252, 78, 206)(45, 173, 79, 207, 108, 236, 76, 204)(48, 176, 96, 224, 104, 232, 74, 202)(51, 179, 59, 187, 105, 233, 68, 196)(53, 181, 99, 227, 109, 237, 73, 201)(55, 183, 98, 226, 122, 250, 101, 229)(67, 195, 112, 240, 95, 223, 111, 239)(70, 198, 118, 246, 89, 217, 116, 244)(71, 199, 115, 243, 93, 221, 110, 238)(84, 212, 106, 234, 86, 214, 117, 245)(85, 213, 107, 235, 94, 222, 121, 249)(91, 219, 126, 254, 127, 255, 119, 247)(92, 220, 120, 248, 128, 256, 125, 253)(97, 225, 114, 242, 100, 228, 113, 241)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 290, 418)(269, 397, 294, 422)(271, 399, 293, 421)(272, 400, 297, 425)(273, 401, 292, 420)(275, 403, 304, 432)(276, 404, 307, 435)(277, 405, 283, 411)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 321, 449)(285, 413, 326, 454)(286, 414, 323, 451)(287, 415, 330, 458)(288, 416, 314, 442)(289, 417, 335, 463)(291, 419, 318, 446)(295, 423, 341, 469)(296, 424, 343, 471)(298, 426, 322, 450)(299, 427, 347, 475)(300, 428, 345, 473)(301, 429, 340, 468)(302, 430, 331, 459)(303, 431, 319, 447)(305, 433, 353, 481)(306, 434, 351, 479)(308, 436, 312, 440)(309, 437, 320, 448)(310, 438, 356, 484)(311, 439, 324, 452)(316, 444, 362, 490)(317, 445, 359, 487)(325, 453, 371, 499)(327, 455, 375, 503)(328, 456, 373, 501)(329, 457, 369, 497)(332, 460, 358, 486)(333, 461, 379, 507)(334, 462, 360, 488)(336, 464, 380, 508)(337, 465, 365, 493)(338, 466, 366, 494)(339, 467, 377, 505)(342, 470, 381, 509)(344, 472, 364, 492)(346, 474, 376, 504)(348, 476, 370, 498)(349, 477, 367, 495)(350, 478, 361, 489)(352, 480, 378, 506)(354, 482, 382, 510)(355, 483, 372, 500)(357, 485, 368, 496)(363, 491, 383, 511)(374, 502, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 291)(12, 283)(13, 295)(14, 259)(15, 261)(16, 299)(17, 301)(18, 293)(19, 305)(20, 308)(21, 262)(22, 313)(23, 316)(24, 263)(25, 322)(26, 314)(27, 324)(28, 264)(29, 327)(30, 329)(31, 331)(32, 266)(33, 336)(34, 273)(35, 337)(36, 267)(37, 269)(38, 271)(39, 342)(40, 344)(41, 270)(42, 321)(43, 348)(44, 349)(45, 350)(46, 330)(47, 338)(48, 274)(49, 354)(50, 355)(51, 320)(52, 317)(53, 276)(54, 357)(55, 277)(56, 307)(57, 303)(58, 360)(59, 278)(60, 363)(61, 364)(62, 290)(63, 280)(64, 367)(65, 286)(66, 289)(67, 281)(68, 370)(69, 372)(70, 284)(71, 376)(72, 377)(73, 378)(74, 358)(75, 306)(76, 287)(77, 380)(78, 288)(79, 298)(80, 379)(81, 368)(82, 374)(83, 373)(84, 292)(85, 294)(86, 382)(87, 300)(88, 359)(89, 296)(90, 375)(91, 297)(92, 311)(93, 309)(94, 310)(95, 302)(96, 369)(97, 304)(98, 381)(99, 371)(100, 361)(101, 365)(102, 339)(103, 312)(104, 346)(105, 340)(106, 315)(107, 384)(108, 343)(109, 318)(110, 319)(111, 345)(112, 356)(113, 323)(114, 347)(115, 328)(116, 351)(117, 325)(118, 383)(119, 326)(120, 334)(121, 332)(122, 333)(123, 352)(124, 335)(125, 341)(126, 353)(127, 362)(128, 366)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1910
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1915 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26531>$ (small group id <256, 26531>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1^-1 * R)^2, (Y2 * Y3^-1)^2, Y3^4, Y1^4, (Y3 * Y1)^2, (R * Y3)^2, Y2 * Y3^-2 * Y1 * Y2 * Y1^-1, Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1, R * Y1 * Y2 * Y1^-1 * R * Y2, (Y3^-1 * Y1)^4, Y1^-1 * Y3 * Y2 * Y1 * Y3 * Y1^-2 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 31, 159, 13, 141)(4, 132, 15, 143, 39, 167, 17, 145)(6, 134, 20, 148, 29, 157, 9, 137)(8, 136, 24, 152, 53, 181, 26, 154)(10, 138, 30, 158, 51, 179, 22, 150)(12, 140, 35, 163, 47, 175, 25, 153)(14, 142, 38, 166, 67, 195, 33, 161)(16, 144, 32, 160, 64, 192, 40, 168)(18, 146, 42, 170, 74, 202, 43, 171)(19, 147, 23, 151, 52, 180, 44, 172)(21, 149, 46, 174, 77, 205, 48, 176)(27, 155, 57, 185, 89, 217, 55, 183)(28, 156, 54, 182, 86, 214, 58, 186)(34, 162, 68, 196, 80, 208, 62, 190)(36, 164, 69, 197, 100, 228, 70, 198)(37, 165, 63, 191, 95, 223, 71, 199)(41, 169, 61, 189, 83, 211, 60, 188)(45, 173, 76, 204, 84, 212, 59, 187)(49, 177, 81, 209, 106, 234, 79, 207)(50, 178, 78, 206, 103, 231, 82, 210)(56, 184, 90, 218, 75, 203, 85, 213)(65, 193, 92, 220, 111, 239, 97, 225)(66, 194, 96, 224, 112, 240, 91, 219)(72, 200, 102, 230, 115, 243, 99, 227)(73, 201, 98, 226, 118, 246, 101, 229)(87, 215, 108, 236, 121, 249, 110, 238)(88, 216, 109, 237, 122, 250, 107, 235)(93, 221, 113, 241, 120, 248, 104, 232)(94, 222, 105, 233, 119, 247, 114, 242)(116, 244, 126, 254, 127, 255, 123, 251)(117, 245, 124, 252, 128, 256, 125, 253)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 277, 405)(265, 393, 283, 411)(266, 394, 281, 409)(267, 395, 288, 416)(269, 397, 292, 420)(271, 399, 291, 419)(272, 400, 282, 410)(273, 401, 290, 418)(275, 403, 293, 421)(276, 404, 294, 422)(278, 406, 305, 433)(279, 407, 303, 431)(280, 408, 310, 438)(284, 412, 304, 432)(285, 413, 312, 440)(286, 414, 313, 441)(287, 415, 317, 445)(289, 417, 321, 449)(295, 423, 319, 447)(296, 424, 328, 456)(297, 425, 322, 450)(298, 426, 325, 453)(299, 427, 306, 434)(300, 428, 331, 459)(301, 429, 309, 437)(302, 430, 334, 462)(307, 435, 336, 464)(308, 436, 337, 465)(311, 439, 343, 471)(314, 442, 347, 475)(315, 443, 344, 472)(316, 444, 333, 461)(318, 446, 349, 477)(320, 448, 352, 480)(323, 451, 354, 482)(324, 452, 348, 476)(326, 454, 350, 478)(327, 455, 357, 485)(329, 457, 341, 469)(330, 458, 340, 468)(332, 460, 358, 486)(335, 463, 360, 488)(338, 466, 363, 491)(339, 467, 361, 489)(342, 470, 365, 493)(345, 473, 367, 495)(346, 474, 364, 492)(351, 479, 369, 497)(353, 481, 372, 500)(355, 483, 373, 501)(356, 484, 371, 499)(359, 487, 375, 503)(362, 490, 377, 505)(366, 494, 379, 507)(368, 496, 380, 508)(370, 498, 381, 509)(374, 502, 382, 510)(376, 504, 383, 511)(378, 506, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 278)(8, 281)(9, 284)(10, 258)(11, 289)(12, 282)(13, 293)(14, 259)(15, 261)(16, 262)(17, 297)(18, 291)(19, 292)(20, 296)(21, 303)(22, 306)(23, 263)(24, 311)(25, 304)(26, 270)(27, 264)(28, 266)(29, 315)(30, 314)(31, 318)(32, 273)(33, 322)(34, 267)(35, 269)(36, 271)(37, 274)(38, 309)(39, 326)(40, 329)(41, 321)(42, 327)(43, 305)(44, 332)(45, 276)(46, 335)(47, 299)(48, 283)(49, 277)(50, 279)(51, 339)(52, 338)(53, 341)(54, 285)(55, 344)(56, 280)(57, 333)(58, 348)(59, 343)(60, 286)(61, 295)(62, 350)(63, 287)(64, 353)(65, 288)(66, 290)(67, 355)(68, 347)(69, 300)(70, 349)(71, 358)(72, 294)(73, 301)(74, 346)(75, 298)(76, 357)(77, 324)(78, 307)(79, 361)(80, 302)(81, 330)(82, 364)(83, 360)(84, 308)(85, 328)(86, 366)(87, 310)(88, 312)(89, 368)(90, 363)(91, 313)(92, 316)(93, 317)(94, 319)(95, 370)(96, 323)(97, 373)(98, 320)(99, 372)(100, 374)(101, 325)(102, 331)(103, 376)(104, 334)(105, 336)(106, 378)(107, 337)(108, 340)(109, 345)(110, 380)(111, 342)(112, 379)(113, 356)(114, 382)(115, 351)(116, 352)(117, 354)(118, 381)(119, 362)(120, 384)(121, 359)(122, 383)(123, 365)(124, 367)(125, 369)(126, 371)(127, 375)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1911
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1916 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26531>$ (small group id <256, 26531>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y1 * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y3^-2 * Y1^-1 * Y2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y3 * Y1^-2, (Y3^3 * Y1^-1)^2, (Y3 * Y1^-1)^4, Y2 * Y1^-1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1^-2, Y3^8, (Y3^-3 * Y2 * Y1^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y2 * Y3 * Y1^-1 * Y3^-2 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 33, 161, 13, 141)(4, 132, 15, 143, 42, 170, 17, 145)(6, 134, 20, 148, 30, 158, 9, 137)(8, 136, 25, 153, 64, 192, 27, 155)(10, 138, 31, 159, 61, 189, 23, 151)(12, 140, 35, 163, 65, 193, 37, 165)(14, 142, 40, 168, 59, 187, 28, 156)(16, 144, 45, 173, 63, 191, 47, 175)(18, 146, 41, 169, 89, 217, 50, 178)(19, 147, 24, 152, 62, 190, 52, 180)(21, 149, 54, 182, 60, 188, 38, 166)(22, 150, 56, 184, 102, 230, 58, 186)(26, 154, 66, 194, 103, 231, 68, 196)(29, 157, 71, 199, 44, 172, 73, 201)(32, 160, 77, 205, 51, 179, 69, 197)(34, 162, 80, 208, 43, 171, 74, 202)(36, 164, 82, 210, 117, 245, 84, 212)(39, 167, 79, 207, 106, 234, 88, 216)(46, 174, 95, 223, 116, 244, 78, 206)(48, 176, 90, 218, 105, 233, 57, 185)(49, 177, 92, 220, 108, 236, 76, 204)(53, 181, 101, 229, 109, 237, 75, 203)(55, 183, 100, 228, 124, 252, 85, 213)(67, 195, 113, 241, 97, 225, 115, 243)(70, 198, 111, 239, 91, 219, 119, 247)(72, 200, 120, 248, 98, 226, 110, 238)(81, 209, 104, 232, 87, 215, 122, 250)(83, 211, 125, 253, 127, 255, 114, 242)(86, 214, 112, 240, 93, 221, 118, 246)(94, 222, 107, 235, 99, 227, 123, 251)(96, 224, 121, 249, 128, 256, 126, 254)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 278, 406)(265, 393, 284, 412)(266, 394, 282, 410)(267, 395, 285, 413)(269, 397, 294, 422)(271, 399, 299, 427)(272, 400, 297, 425)(273, 401, 304, 432)(275, 403, 296, 424)(276, 404, 295, 423)(277, 405, 292, 420)(279, 407, 315, 443)(280, 408, 313, 441)(281, 409, 316, 444)(283, 411, 325, 453)(286, 414, 330, 458)(287, 415, 326, 454)(288, 416, 323, 451)(289, 417, 331, 459)(290, 418, 328, 456)(291, 419, 317, 445)(293, 421, 341, 469)(298, 426, 347, 475)(300, 428, 349, 477)(301, 429, 314, 442)(302, 430, 346, 474)(303, 431, 353, 481)(305, 433, 345, 473)(306, 434, 327, 455)(307, 435, 312, 440)(308, 436, 322, 450)(309, 437, 343, 471)(310, 438, 342, 470)(311, 439, 339, 467)(318, 446, 362, 490)(319, 447, 360, 488)(320, 448, 364, 492)(321, 449, 363, 491)(324, 452, 372, 500)(329, 457, 378, 506)(332, 460, 374, 502)(333, 461, 373, 501)(334, 462, 370, 498)(335, 463, 380, 508)(336, 464, 379, 507)(337, 465, 377, 505)(338, 466, 365, 493)(340, 468, 382, 510)(344, 472, 376, 504)(348, 476, 369, 497)(350, 478, 381, 509)(351, 479, 367, 495)(352, 480, 371, 499)(354, 482, 361, 489)(355, 483, 375, 503)(356, 484, 359, 487)(357, 485, 358, 486)(366, 494, 383, 511)(368, 496, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 279)(8, 282)(9, 285)(10, 258)(11, 284)(12, 292)(13, 295)(14, 259)(15, 261)(16, 302)(17, 305)(18, 299)(19, 307)(20, 294)(21, 262)(22, 313)(23, 316)(24, 263)(25, 315)(26, 323)(27, 326)(28, 264)(29, 328)(30, 331)(31, 325)(32, 266)(33, 330)(34, 267)(35, 269)(36, 339)(37, 342)(38, 317)(39, 343)(40, 274)(41, 270)(42, 327)(43, 349)(44, 271)(45, 273)(46, 352)(47, 354)(48, 314)(49, 355)(50, 347)(51, 356)(52, 357)(53, 276)(54, 341)(55, 277)(56, 296)(57, 360)(58, 362)(59, 278)(60, 363)(61, 364)(62, 301)(63, 280)(64, 291)(65, 281)(66, 283)(67, 370)(68, 373)(69, 308)(70, 374)(71, 286)(72, 377)(73, 379)(74, 306)(75, 380)(76, 287)(77, 372)(78, 288)(79, 289)(80, 378)(81, 290)(82, 293)(83, 371)(84, 359)(85, 365)(86, 375)(87, 361)(88, 358)(89, 304)(90, 297)(91, 369)(92, 298)(93, 381)(94, 300)(95, 303)(96, 311)(97, 367)(98, 309)(99, 310)(100, 382)(101, 376)(102, 322)(103, 312)(104, 383)(105, 353)(106, 338)(107, 384)(108, 351)(109, 318)(110, 319)(111, 320)(112, 321)(113, 324)(114, 337)(115, 346)(116, 348)(117, 335)(118, 336)(119, 345)(120, 329)(121, 334)(122, 344)(123, 332)(124, 333)(125, 340)(126, 350)(127, 368)(128, 366)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1913
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1917 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 928>$ (small group id <128, 928>)
Aut   = $<256, 26531>$ (small group id <256, 26531>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3^-1 * Y2)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y3^4, Y1^4, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2, (R * Y2 * Y3^-1)^2, (Y2 * Y1^-1 * Y3)^2, (Y3 * Y1^-1)^4, Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 31, 159, 13, 141)(4, 132, 15, 143, 38, 166, 17, 145)(6, 134, 20, 148, 29, 157, 9, 137)(8, 136, 24, 152, 53, 181, 26, 154)(10, 138, 30, 158, 51, 179, 22, 150)(12, 140, 32, 160, 62, 190, 34, 162)(14, 142, 37, 165, 49, 177, 27, 155)(16, 144, 41, 169, 67, 195, 35, 163)(18, 146, 33, 161, 65, 193, 43, 171)(19, 147, 23, 151, 52, 180, 44, 172)(21, 149, 46, 174, 77, 205, 48, 176)(25, 153, 54, 182, 86, 214, 55, 183)(28, 156, 58, 186, 90, 218, 56, 184)(36, 164, 61, 189, 81, 209, 68, 196)(39, 167, 72, 200, 102, 230, 73, 201)(40, 168, 74, 202, 101, 229, 70, 198)(42, 170, 71, 199, 83, 211, 60, 188)(45, 173, 76, 204, 84, 212, 59, 187)(47, 175, 78, 206, 103, 231, 79, 207)(50, 178, 82, 210, 107, 235, 80, 208)(57, 185, 85, 213, 69, 197, 91, 219)(63, 191, 96, 224, 116, 244, 97, 225)(64, 192, 98, 226, 115, 243, 94, 222)(66, 194, 95, 223, 110, 238, 88, 216)(75, 203, 87, 215, 112, 240, 93, 221)(89, 217, 111, 239, 120, 248, 105, 233)(92, 220, 104, 232, 122, 250, 109, 237)(99, 227, 106, 234, 121, 249, 117, 245)(100, 228, 118, 246, 119, 247, 108, 236)(113, 241, 123, 251, 127, 255, 125, 253)(114, 242, 126, 254, 128, 256, 124, 252)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 274, 402)(262, 390, 268, 396)(263, 391, 277, 405)(265, 393, 283, 411)(266, 394, 281, 409)(267, 395, 284, 412)(269, 397, 291, 419)(271, 399, 295, 423)(272, 400, 289, 417)(273, 401, 290, 418)(275, 403, 293, 421)(276, 404, 292, 420)(278, 406, 305, 433)(279, 407, 303, 431)(280, 408, 306, 434)(282, 410, 312, 440)(285, 413, 311, 439)(286, 414, 313, 441)(287, 415, 315, 443)(288, 416, 319, 447)(294, 422, 325, 453)(296, 424, 302, 430)(297, 425, 322, 450)(298, 426, 321, 449)(299, 427, 326, 454)(300, 428, 329, 457)(301, 429, 320, 448)(304, 432, 336, 464)(307, 435, 335, 463)(308, 436, 337, 465)(309, 437, 339, 467)(310, 438, 343, 471)(314, 442, 345, 473)(316, 444, 344, 472)(317, 445, 348, 476)(318, 446, 349, 477)(323, 451, 350, 478)(324, 452, 353, 481)(327, 455, 355, 483)(328, 456, 356, 484)(330, 458, 354, 482)(331, 459, 347, 475)(332, 460, 333, 461)(334, 462, 360, 488)(338, 466, 362, 490)(340, 468, 361, 489)(341, 469, 364, 492)(342, 470, 365, 493)(346, 474, 366, 494)(351, 479, 369, 497)(352, 480, 370, 498)(357, 485, 373, 501)(358, 486, 372, 500)(359, 487, 375, 503)(363, 491, 376, 504)(367, 495, 379, 507)(368, 496, 380, 508)(371, 499, 381, 509)(374, 502, 382, 510)(377, 505, 383, 511)(378, 506, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 275)(6, 257)(7, 278)(8, 281)(9, 284)(10, 258)(11, 283)(12, 289)(13, 292)(14, 259)(15, 261)(16, 262)(17, 298)(18, 295)(19, 296)(20, 291)(21, 303)(22, 306)(23, 263)(24, 305)(25, 267)(26, 313)(27, 264)(28, 266)(29, 315)(30, 312)(31, 311)(32, 269)(33, 270)(34, 322)(35, 319)(36, 320)(37, 274)(38, 326)(39, 302)(40, 271)(41, 273)(42, 331)(43, 325)(44, 332)(45, 276)(46, 293)(47, 280)(48, 337)(49, 277)(50, 279)(51, 339)(52, 336)(53, 335)(54, 282)(55, 345)(56, 343)(57, 344)(58, 285)(59, 348)(60, 286)(61, 287)(62, 350)(63, 301)(64, 288)(65, 290)(66, 347)(67, 349)(68, 333)(69, 355)(70, 356)(71, 294)(72, 299)(73, 354)(74, 300)(75, 297)(76, 353)(77, 329)(78, 304)(79, 362)(80, 360)(81, 361)(82, 307)(83, 364)(84, 308)(85, 309)(86, 366)(87, 316)(88, 310)(89, 317)(90, 365)(91, 321)(92, 314)(93, 369)(94, 370)(95, 318)(96, 323)(97, 330)(98, 324)(99, 328)(100, 327)(101, 372)(102, 373)(103, 376)(104, 340)(105, 334)(106, 341)(107, 375)(108, 338)(109, 379)(110, 380)(111, 342)(112, 346)(113, 352)(114, 351)(115, 358)(116, 381)(117, 382)(118, 357)(119, 383)(120, 384)(121, 359)(122, 363)(123, 368)(124, 367)(125, 374)(126, 371)(127, 378)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1912
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1918 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1 * Y2)^2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y1 * Y3)^4, Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3, Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 161, 33, 144)(18, 165, 37, 146)(19, 167, 39, 147)(20, 169, 41, 148)(22, 173, 45, 150)(23, 175, 47, 151)(24, 177, 49, 152)(26, 181, 53, 154)(27, 183, 55, 155)(28, 185, 57, 156)(30, 189, 61, 158)(32, 187, 59, 160)(34, 179, 51, 162)(35, 178, 50, 163)(36, 186, 58, 164)(38, 190, 62, 166)(40, 188, 60, 168)(42, 180, 52, 170)(43, 176, 48, 171)(44, 184, 56, 172)(46, 182, 54, 174)(63, 225, 97, 191)(64, 226, 98, 192)(65, 210, 82, 193)(66, 228, 100, 194)(67, 230, 102, 195)(68, 231, 103, 196)(69, 214, 86, 197)(70, 222, 94, 198)(71, 216, 88, 199)(72, 229, 101, 200)(73, 227, 99, 201)(74, 234, 106, 202)(75, 232, 104, 203)(76, 221, 93, 204)(77, 215, 87, 205)(78, 223, 95, 206)(79, 235, 107, 207)(80, 237, 109, 208)(81, 238, 110, 209)(83, 240, 112, 211)(84, 242, 114, 212)(85, 243, 115, 213)(89, 241, 113, 217)(90, 239, 111, 218)(91, 246, 118, 219)(92, 244, 116, 220)(96, 247, 119, 224)(105, 252, 124, 233)(108, 249, 121, 236)(117, 256, 128, 245)(120, 253, 125, 248)(122, 254, 126, 250)(123, 255, 127, 251)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 46)(24, 50)(25, 51)(28, 58)(29, 59)(30, 62)(31, 63)(32, 65)(33, 66)(36, 70)(37, 71)(38, 73)(39, 64)(40, 72)(41, 67)(44, 69)(45, 68)(47, 80)(48, 82)(49, 83)(52, 87)(53, 88)(54, 90)(55, 81)(56, 89)(57, 84)(60, 86)(61, 85)(74, 103)(75, 95)(76, 107)(77, 97)(78, 92)(79, 108)(91, 115)(93, 119)(94, 109)(96, 120)(98, 117)(99, 113)(100, 121)(101, 111)(102, 122)(104, 124)(105, 110)(106, 123)(112, 125)(114, 126)(116, 128)(118, 127)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 164)(146, 166)(147, 168)(149, 172)(151, 176)(153, 180)(154, 182)(155, 184)(157, 188)(159, 192)(161, 195)(162, 196)(163, 197)(165, 200)(167, 202)(169, 203)(170, 204)(171, 205)(173, 206)(174, 207)(175, 209)(177, 212)(178, 213)(179, 214)(181, 217)(183, 219)(185, 220)(186, 221)(187, 222)(189, 223)(190, 224)(191, 216)(193, 227)(194, 229)(198, 232)(199, 208)(201, 233)(210, 239)(211, 241)(215, 244)(218, 245)(225, 249)(226, 250)(228, 251)(230, 248)(231, 247)(234, 252)(235, 243)(236, 242)(237, 253)(238, 254)(240, 255)(246, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1920
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1919 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y3 * Y2 * Y1 * Y3)^2, Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 156, 28, 143)(16, 152, 24, 144)(18, 163, 35, 146)(19, 155, 27, 147)(20, 151, 23, 148)(22, 169, 41, 150)(26, 175, 47, 154)(30, 181, 53, 158)(31, 179, 51, 159)(32, 173, 45, 160)(33, 172, 44, 161)(34, 178, 50, 162)(36, 182, 54, 164)(37, 180, 52, 165)(38, 174, 46, 166)(39, 171, 43, 167)(40, 177, 49, 168)(42, 176, 48, 170)(55, 203, 75, 183)(56, 199, 71, 184)(57, 196, 68, 185)(58, 202, 74, 186)(59, 201, 73, 187)(60, 195, 67, 188)(61, 205, 77, 189)(62, 198, 70, 190)(63, 197, 69, 191)(64, 194, 66, 192)(65, 209, 81, 193)(72, 213, 85, 200)(76, 217, 89, 204)(78, 219, 91, 206)(79, 218, 90, 207)(80, 222, 94, 208)(82, 215, 87, 210)(83, 214, 86, 211)(84, 226, 98, 212)(88, 230, 102, 216)(92, 234, 106, 220)(93, 233, 105, 221)(95, 235, 107, 223)(96, 239, 111, 224)(97, 229, 101, 225)(99, 231, 103, 227)(100, 243, 115, 228)(104, 246, 118, 232)(108, 250, 122, 236)(109, 249, 121, 237)(110, 248, 120, 238)(112, 247, 119, 240)(113, 245, 117, 241)(114, 244, 116, 242)(123, 254, 126, 251)(124, 255, 127, 252)(125, 256, 128, 253)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 32)(17, 33)(20, 38)(21, 39)(22, 42)(24, 44)(25, 45)(28, 50)(29, 51)(30, 54)(31, 55)(34, 58)(35, 59)(36, 61)(37, 60)(40, 57)(41, 56)(43, 66)(46, 69)(47, 70)(48, 72)(49, 71)(52, 68)(53, 67)(62, 81)(63, 82)(64, 83)(65, 84)(73, 89)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(85, 101)(86, 102)(87, 103)(88, 104)(97, 113)(98, 114)(99, 115)(100, 112)(105, 120)(106, 121)(107, 122)(108, 119)(109, 123)(110, 124)(111, 125)(116, 126)(117, 127)(118, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 159)(145, 162)(146, 164)(147, 165)(149, 168)(151, 171)(153, 174)(154, 176)(155, 177)(157, 180)(160, 184)(161, 185)(163, 188)(166, 190)(167, 191)(169, 192)(170, 193)(172, 195)(173, 196)(175, 199)(178, 201)(179, 202)(181, 203)(182, 204)(183, 205)(186, 206)(187, 207)(189, 208)(194, 213)(197, 214)(198, 215)(200, 216)(209, 225)(210, 226)(211, 227)(212, 228)(217, 233)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(229, 244)(230, 245)(231, 246)(232, 247)(241, 253)(242, 252)(243, 251)(248, 256)(249, 255)(250, 254)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1921
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1920 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 173, 45, 157, 29, 175, 47, 153)(26, 176, 48, 158, 30, 177, 49, 154)(28, 179, 51, 187, 59, 174, 46, 156)(31, 181, 53, 162, 34, 183, 55, 159)(33, 185, 57, 188, 60, 182, 54, 161)(37, 189, 61, 168, 40, 191, 63, 165)(38, 192, 64, 169, 41, 193, 65, 166)(39, 194, 66, 184, 56, 190, 62, 167)(42, 196, 68, 172, 44, 198, 70, 170)(43, 199, 71, 178, 50, 197, 69, 171)(52, 200, 72, 217, 89, 208, 80, 180)(58, 195, 67, 218, 90, 214, 86, 186)(73, 227, 99, 204, 76, 233, 105, 201)(74, 234, 106, 205, 77, 235, 107, 202)(75, 221, 93, 209, 81, 226, 98, 203)(78, 236, 108, 207, 79, 237, 109, 206)(82, 219, 91, 241, 113, 222, 94, 210)(83, 232, 104, 213, 85, 238, 110, 211)(84, 229, 101, 215, 87, 231, 103, 212)(88, 228, 100, 242, 114, 230, 102, 216)(92, 243, 115, 223, 95, 244, 116, 220)(96, 245, 117, 225, 97, 246, 118, 224)(111, 252, 124, 253, 125, 248, 120, 239)(112, 249, 121, 254, 126, 247, 119, 240)(122, 255, 127, 251, 123, 256, 128, 250)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 54)(32, 56)(33, 58)(34, 57)(35, 59)(42, 69)(43, 72)(44, 71)(45, 73)(46, 75)(47, 76)(48, 77)(49, 74)(50, 80)(51, 81)(52, 82)(53, 78)(55, 79)(60, 90)(61, 91)(62, 93)(63, 94)(64, 95)(65, 92)(66, 98)(67, 99)(68, 96)(70, 97)(83, 103)(84, 100)(85, 101)(86, 105)(87, 102)(88, 112)(89, 113)(104, 120)(106, 121)(107, 119)(108, 122)(109, 123)(110, 124)(111, 115)(114, 126)(116, 125)(117, 127)(118, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 174)(155, 178)(156, 180)(157, 179)(164, 188)(165, 190)(167, 195)(168, 194)(173, 202)(175, 205)(176, 206)(177, 207)(181, 211)(182, 212)(183, 213)(184, 214)(185, 215)(186, 216)(187, 217)(189, 220)(191, 223)(192, 224)(193, 225)(196, 228)(197, 229)(198, 230)(199, 231)(200, 232)(201, 226)(203, 219)(204, 221)(208, 238)(209, 222)(210, 239)(218, 242)(227, 247)(233, 249)(234, 250)(235, 251)(236, 252)(237, 248)(240, 245)(241, 253)(243, 255)(244, 256)(246, 254)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1918
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1921 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, R * Y3 * R * Y2, (R * Y1)^2, Y1^4, (Y1^-1 * Y3 * Y1^-1)^2, (Y2 * Y1^-2)^2, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y2 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3, (Y3 * Y2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 170, 42, 157, 29, 172, 44, 153)(26, 166, 38, 158, 30, 169, 41, 154)(28, 175, 47, 181, 53, 173, 45, 156)(31, 165, 37, 162, 34, 168, 40, 159)(33, 179, 51, 182, 54, 177, 49, 161)(39, 184, 56, 178, 50, 183, 55, 167)(43, 187, 59, 174, 46, 186, 58, 171)(48, 188, 60, 197, 69, 190, 62, 176)(52, 185, 57, 198, 70, 194, 66, 180)(61, 203, 75, 191, 63, 202, 74, 189)(64, 205, 77, 213, 85, 207, 79, 192)(65, 200, 72, 195, 67, 199, 71, 193)(68, 209, 81, 214, 86, 211, 83, 196)(73, 215, 87, 210, 82, 216, 88, 201)(76, 218, 90, 206, 78, 219, 91, 204)(80, 222, 94, 229, 101, 220, 92, 208)(84, 226, 98, 230, 102, 217, 89, 212)(93, 234, 106, 223, 95, 235, 107, 221)(96, 239, 111, 244, 116, 237, 109, 224)(97, 231, 103, 227, 99, 232, 104, 225)(100, 243, 115, 245, 117, 241, 113, 228)(105, 247, 119, 242, 114, 246, 118, 233)(108, 250, 122, 238, 110, 249, 121, 236)(112, 248, 120, 254, 126, 252, 124, 240)(123, 255, 127, 253, 125, 256, 128, 251)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 60)(44, 59)(45, 61)(46, 62)(47, 63)(48, 64)(54, 70)(55, 71)(56, 72)(57, 73)(65, 81)(66, 82)(67, 83)(68, 84)(69, 85)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(86, 102)(87, 103)(88, 104)(89, 105)(97, 113)(98, 114)(99, 115)(100, 112)(101, 116)(106, 121)(107, 122)(108, 120)(109, 123)(110, 124)(111, 125)(117, 126)(118, 127)(119, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 173)(155, 174)(156, 176)(157, 175)(164, 182)(165, 183)(167, 185)(168, 184)(177, 193)(178, 194)(179, 195)(180, 196)(181, 197)(186, 202)(187, 203)(188, 204)(189, 205)(190, 206)(191, 207)(192, 208)(198, 214)(199, 215)(200, 216)(201, 217)(209, 225)(210, 226)(211, 227)(212, 228)(213, 229)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(230, 245)(231, 246)(232, 247)(233, 248)(241, 253)(242, 252)(243, 251)(244, 254)(249, 256)(250, 255)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1919
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1922 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2, (Y2 * Y1)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 42, 170)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 50, 178)(27, 155, 52, 180)(29, 157, 54, 182)(31, 159, 56, 184)(33, 161, 59, 187)(34, 162, 60, 188)(35, 163, 61, 189)(37, 165, 63, 191)(39, 167, 64, 192)(41, 169, 65, 193)(43, 171, 67, 195)(45, 173, 70, 198)(46, 174, 71, 199)(47, 175, 72, 200)(49, 177, 74, 202)(51, 179, 75, 203)(53, 181, 76, 204)(55, 183, 78, 206)(57, 185, 81, 209)(58, 186, 83, 211)(62, 190, 84, 212)(66, 194, 86, 214)(68, 196, 89, 217)(69, 197, 91, 219)(73, 201, 92, 220)(77, 205, 94, 222)(79, 207, 97, 225)(80, 208, 99, 227)(82, 210, 100, 228)(85, 213, 102, 230)(87, 215, 105, 233)(88, 216, 107, 235)(90, 218, 108, 236)(93, 221, 109, 237)(95, 223, 112, 240)(96, 224, 114, 242)(98, 226, 115, 243)(101, 229, 116, 244)(103, 231, 119, 247)(104, 232, 121, 249)(106, 234, 122, 250)(110, 238, 123, 251)(111, 239, 124, 252)(113, 241, 125, 253)(117, 245, 126, 254)(118, 246, 127, 255)(120, 248, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 294)(278, 292)(279, 299)(280, 301)(282, 305)(283, 307)(284, 306)(286, 304)(288, 309)(290, 303)(291, 302)(296, 310)(297, 300)(298, 308)(311, 333)(312, 335)(313, 336)(314, 338)(315, 337)(316, 332)(317, 328)(318, 334)(319, 339)(320, 340)(321, 327)(322, 341)(323, 343)(324, 344)(325, 346)(326, 345)(329, 342)(330, 347)(331, 348)(349, 357)(350, 366)(351, 367)(352, 369)(353, 368)(354, 365)(355, 370)(356, 371)(358, 373)(359, 374)(360, 376)(361, 375)(362, 372)(363, 377)(364, 378)(379, 384)(380, 383)(381, 382)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 414)(405, 425)(406, 412)(408, 430)(409, 431)(413, 437)(415, 439)(416, 441)(417, 442)(420, 444)(421, 446)(422, 443)(423, 440)(424, 447)(426, 445)(427, 450)(428, 452)(429, 453)(432, 455)(433, 457)(434, 454)(435, 451)(436, 458)(438, 456)(448, 460)(449, 459)(461, 477)(462, 479)(463, 480)(464, 482)(465, 481)(466, 478)(467, 483)(468, 484)(469, 485)(470, 487)(471, 488)(472, 490)(473, 489)(474, 486)(475, 491)(476, 492)(493, 504)(494, 502)(495, 501)(496, 507)(497, 500)(498, 508)(499, 509)(503, 510)(505, 511)(506, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1928
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1923 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3 * Y2 * Y1)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 44, 172)(23, 151, 48, 176)(25, 153, 52, 180)(26, 154, 54, 182)(27, 155, 56, 184)(29, 157, 60, 188)(31, 159, 64, 192)(33, 161, 67, 195)(34, 162, 68, 196)(35, 163, 69, 197)(37, 165, 72, 200)(39, 167, 74, 202)(41, 169, 75, 203)(42, 170, 76, 204)(43, 171, 77, 205)(45, 173, 78, 206)(46, 174, 79, 207)(47, 175, 81, 209)(49, 177, 84, 212)(50, 178, 85, 213)(51, 179, 86, 214)(53, 181, 89, 217)(55, 183, 91, 219)(57, 185, 92, 220)(58, 186, 93, 221)(59, 187, 94, 222)(61, 189, 95, 223)(62, 190, 96, 224)(63, 191, 98, 226)(65, 193, 101, 229)(66, 194, 102, 230)(70, 198, 104, 232)(71, 199, 90, 218)(73, 201, 88, 216)(80, 208, 110, 238)(82, 210, 113, 241)(83, 211, 114, 242)(87, 215, 116, 244)(97, 225, 117, 245)(99, 227, 115, 243)(100, 228, 122, 250)(103, 231, 111, 239)(105, 233, 109, 237)(106, 234, 123, 251)(107, 235, 121, 249)(108, 236, 124, 252)(112, 240, 126, 254)(118, 246, 127, 255)(119, 247, 125, 253)(120, 248, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 297)(278, 301)(279, 303)(280, 305)(282, 309)(283, 311)(284, 313)(286, 317)(288, 315)(290, 307)(291, 306)(292, 314)(294, 318)(296, 316)(298, 308)(299, 304)(300, 312)(302, 310)(319, 353)(320, 355)(321, 356)(322, 348)(323, 347)(324, 359)(325, 342)(326, 350)(327, 354)(328, 358)(329, 357)(330, 340)(331, 339)(332, 362)(333, 343)(334, 361)(335, 363)(336, 365)(337, 367)(338, 368)(341, 371)(344, 366)(345, 370)(346, 369)(349, 374)(351, 373)(352, 375)(360, 376)(364, 372)(377, 381)(378, 383)(379, 382)(380, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 426)(405, 427)(406, 430)(408, 434)(409, 435)(412, 442)(413, 443)(414, 446)(415, 447)(416, 449)(417, 450)(420, 454)(421, 455)(422, 457)(423, 448)(424, 456)(425, 451)(428, 453)(429, 452)(431, 464)(432, 466)(433, 467)(436, 471)(437, 472)(438, 474)(439, 465)(440, 473)(441, 468)(444, 470)(445, 469)(458, 487)(459, 489)(460, 491)(461, 485)(462, 492)(463, 484)(475, 499)(476, 501)(477, 503)(478, 497)(479, 504)(480, 496)(481, 505)(482, 500)(483, 502)(486, 506)(488, 494)(490, 495)(493, 509)(498, 510)(507, 512)(508, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1929
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1924 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^8 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 49, 177, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 57, 185, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 46, 174, 65, 193, 47, 175)(28, 156, 51, 179, 30, 158, 52, 180)(35, 163, 54, 182, 73, 201, 55, 183)(38, 166, 59, 187, 40, 168, 60, 188)(45, 173, 62, 190, 81, 209, 63, 191)(48, 176, 67, 195, 50, 178, 68, 196)(53, 181, 70, 198, 89, 217, 71, 199)(56, 184, 75, 203, 58, 186, 76, 204)(61, 189, 78, 206, 97, 225, 79, 207)(64, 192, 83, 211, 66, 194, 84, 212)(69, 197, 86, 214, 105, 233, 87, 215)(72, 200, 91, 219, 74, 202, 92, 220)(77, 205, 94, 222, 112, 240, 95, 223)(80, 208, 99, 227, 82, 210, 100, 228)(85, 213, 102, 230, 119, 247, 103, 231)(88, 216, 107, 235, 90, 218, 108, 236)(93, 221, 109, 237, 123, 251, 110, 238)(96, 224, 114, 242, 98, 226, 115, 243)(101, 229, 116, 244, 126, 254, 117, 245)(104, 232, 121, 249, 106, 234, 122, 250)(111, 239, 124, 252, 113, 241, 125, 253)(118, 246, 127, 255, 120, 248, 128, 256)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 301)(282, 304)(283, 306)(284, 303)(285, 305)(286, 302)(287, 307)(288, 308)(289, 300)(290, 299)(291, 309)(292, 312)(293, 314)(294, 311)(295, 313)(296, 310)(297, 315)(298, 316)(317, 333)(318, 336)(319, 338)(320, 335)(321, 337)(322, 334)(323, 339)(324, 340)(325, 341)(326, 344)(327, 346)(328, 343)(329, 345)(330, 342)(331, 347)(332, 348)(349, 357)(350, 367)(351, 369)(352, 366)(353, 368)(354, 365)(355, 370)(356, 371)(358, 374)(359, 376)(360, 373)(361, 375)(362, 372)(363, 377)(364, 378)(379, 382)(380, 384)(381, 383)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 427)(416, 428)(417, 425)(418, 426)(429, 445)(430, 448)(431, 450)(432, 447)(433, 449)(434, 446)(435, 451)(436, 452)(437, 453)(438, 456)(439, 458)(440, 455)(441, 457)(442, 454)(443, 459)(444, 460)(461, 477)(462, 480)(463, 482)(464, 479)(465, 481)(466, 478)(467, 483)(468, 484)(469, 485)(470, 488)(471, 490)(472, 487)(473, 489)(474, 486)(475, 491)(476, 492)(493, 504)(494, 502)(495, 501)(496, 507)(497, 500)(498, 508)(499, 509)(503, 510)(505, 511)(506, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1926
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1925 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 49, 177, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 63, 191, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 46, 174, 77, 205, 47, 175)(28, 156, 51, 179, 30, 158, 52, 180)(35, 163, 60, 188, 93, 221, 61, 189)(38, 166, 65, 193, 40, 168, 66, 194)(45, 173, 74, 202, 108, 236, 75, 203)(48, 176, 79, 207, 50, 178, 80, 208)(53, 181, 83, 211, 55, 183, 84, 212)(54, 182, 85, 213, 56, 184, 86, 214)(57, 185, 87, 215, 58, 186, 88, 216)(59, 187, 90, 218, 116, 244, 91, 219)(62, 190, 95, 223, 64, 192, 96, 224)(67, 195, 99, 227, 69, 197, 100, 228)(68, 196, 101, 229, 70, 198, 102, 230)(71, 199, 103, 231, 72, 200, 104, 232)(73, 201, 106, 234, 122, 250, 107, 235)(76, 204, 98, 226, 78, 206, 97, 225)(81, 209, 92, 220, 82, 210, 94, 222)(89, 217, 114, 242, 126, 254, 115, 243)(105, 233, 118, 246, 127, 255, 117, 245)(109, 237, 113, 241, 110, 238, 123, 251)(111, 239, 121, 249, 112, 240, 124, 252)(119, 247, 125, 253, 120, 248, 128, 256)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 301)(282, 304)(283, 306)(284, 303)(285, 305)(286, 302)(287, 309)(288, 311)(289, 312)(290, 310)(291, 315)(292, 318)(293, 320)(294, 317)(295, 319)(296, 316)(297, 323)(298, 325)(299, 326)(300, 324)(307, 327)(308, 328)(313, 321)(314, 322)(329, 361)(330, 355)(331, 356)(332, 363)(333, 364)(334, 362)(335, 352)(336, 351)(337, 354)(338, 353)(339, 346)(340, 347)(341, 366)(342, 365)(343, 367)(344, 368)(345, 369)(348, 371)(349, 372)(350, 370)(357, 374)(358, 373)(359, 375)(360, 376)(377, 381)(378, 383)(379, 382)(380, 384)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 438)(416, 440)(417, 441)(418, 442)(425, 452)(426, 454)(427, 455)(428, 456)(429, 457)(430, 460)(431, 462)(432, 459)(433, 461)(434, 458)(435, 465)(436, 466)(437, 463)(439, 464)(443, 473)(444, 476)(445, 478)(446, 475)(447, 477)(448, 474)(449, 481)(450, 482)(451, 479)(453, 480)(467, 493)(468, 494)(469, 495)(470, 496)(471, 490)(472, 491)(483, 501)(484, 502)(485, 503)(486, 504)(487, 498)(488, 499)(489, 505)(492, 506)(497, 509)(500, 510)(507, 512)(508, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1927
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1926 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2, (Y2 * Y1)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 42, 170, 298, 426)(23, 151, 279, 407, 44, 172, 300, 428)(25, 153, 281, 409, 48, 176, 304, 432)(26, 154, 282, 410, 50, 178, 306, 434)(27, 155, 283, 411, 52, 180, 308, 436)(29, 157, 285, 413, 54, 182, 310, 438)(31, 159, 287, 415, 56, 184, 312, 440)(33, 161, 289, 417, 59, 187, 315, 443)(34, 162, 290, 418, 60, 188, 316, 444)(35, 163, 291, 419, 61, 189, 317, 445)(37, 165, 293, 421, 63, 191, 319, 447)(39, 167, 295, 423, 64, 192, 320, 448)(41, 169, 297, 425, 65, 193, 321, 449)(43, 171, 299, 427, 67, 195, 323, 451)(45, 173, 301, 429, 70, 198, 326, 454)(46, 174, 302, 430, 71, 199, 327, 455)(47, 175, 303, 431, 72, 200, 328, 456)(49, 177, 305, 433, 74, 202, 330, 458)(51, 179, 307, 435, 75, 203, 331, 459)(53, 181, 309, 437, 76, 204, 332, 460)(55, 183, 311, 439, 78, 206, 334, 462)(57, 185, 313, 441, 81, 209, 337, 465)(58, 186, 314, 442, 83, 211, 339, 467)(62, 190, 318, 446, 84, 212, 340, 468)(66, 194, 322, 450, 86, 214, 342, 470)(68, 196, 324, 452, 89, 217, 345, 473)(69, 197, 325, 453, 91, 219, 347, 475)(73, 201, 329, 457, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478)(79, 207, 335, 463, 97, 225, 353, 481)(80, 208, 336, 464, 99, 227, 355, 483)(82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486)(87, 215, 343, 471, 105, 233, 361, 489)(88, 216, 344, 472, 107, 235, 363, 491)(90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 109, 237, 365, 493)(95, 223, 351, 479, 112, 240, 368, 496)(96, 224, 352, 480, 114, 242, 370, 498)(98, 226, 354, 482, 115, 243, 371, 499)(101, 229, 357, 485, 116, 244, 372, 500)(103, 231, 359, 487, 119, 247, 375, 503)(104, 232, 360, 488, 121, 249, 377, 505)(106, 234, 362, 490, 122, 250, 378, 506)(110, 238, 366, 494, 123, 251, 379, 507)(111, 239, 367, 495, 124, 252, 380, 508)(113, 241, 369, 497, 125, 253, 381, 509)(117, 245, 373, 501, 126, 254, 382, 510)(118, 246, 374, 502, 127, 255, 383, 511)(120, 248, 376, 504, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 166)(21, 138)(22, 164)(23, 171)(24, 173)(25, 140)(26, 177)(27, 179)(28, 178)(29, 142)(30, 176)(31, 143)(32, 181)(33, 144)(34, 175)(35, 174)(36, 150)(37, 146)(38, 148)(39, 147)(40, 182)(41, 172)(42, 180)(43, 151)(44, 169)(45, 152)(46, 163)(47, 162)(48, 158)(49, 154)(50, 156)(51, 155)(52, 170)(53, 160)(54, 168)(55, 205)(56, 207)(57, 208)(58, 210)(59, 209)(60, 204)(61, 200)(62, 206)(63, 211)(64, 212)(65, 199)(66, 213)(67, 215)(68, 216)(69, 218)(70, 217)(71, 193)(72, 189)(73, 214)(74, 219)(75, 220)(76, 188)(77, 183)(78, 190)(79, 184)(80, 185)(81, 187)(82, 186)(83, 191)(84, 192)(85, 194)(86, 201)(87, 195)(88, 196)(89, 198)(90, 197)(91, 202)(92, 203)(93, 229)(94, 238)(95, 239)(96, 241)(97, 240)(98, 237)(99, 242)(100, 243)(101, 221)(102, 245)(103, 246)(104, 248)(105, 247)(106, 244)(107, 249)(108, 250)(109, 226)(110, 222)(111, 223)(112, 225)(113, 224)(114, 227)(115, 228)(116, 234)(117, 230)(118, 231)(119, 233)(120, 232)(121, 235)(122, 236)(123, 256)(124, 255)(125, 254)(126, 253)(127, 252)(128, 251)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 414)(277, 425)(278, 412)(279, 395)(280, 430)(281, 431)(282, 396)(283, 397)(284, 406)(285, 437)(286, 404)(287, 439)(288, 441)(289, 442)(290, 400)(291, 401)(292, 444)(293, 446)(294, 443)(295, 440)(296, 447)(297, 405)(298, 445)(299, 450)(300, 452)(301, 453)(302, 408)(303, 409)(304, 455)(305, 457)(306, 454)(307, 451)(308, 458)(309, 413)(310, 456)(311, 415)(312, 423)(313, 416)(314, 417)(315, 422)(316, 420)(317, 426)(318, 421)(319, 424)(320, 460)(321, 459)(322, 427)(323, 435)(324, 428)(325, 429)(326, 434)(327, 432)(328, 438)(329, 433)(330, 436)(331, 449)(332, 448)(333, 477)(334, 479)(335, 480)(336, 482)(337, 481)(338, 478)(339, 483)(340, 484)(341, 485)(342, 487)(343, 488)(344, 490)(345, 489)(346, 486)(347, 491)(348, 492)(349, 461)(350, 466)(351, 462)(352, 463)(353, 465)(354, 464)(355, 467)(356, 468)(357, 469)(358, 474)(359, 470)(360, 471)(361, 473)(362, 472)(363, 475)(364, 476)(365, 504)(366, 502)(367, 501)(368, 507)(369, 500)(370, 508)(371, 509)(372, 497)(373, 495)(374, 494)(375, 510)(376, 493)(377, 511)(378, 512)(379, 496)(380, 498)(381, 499)(382, 503)(383, 505)(384, 506)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1924
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1927 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y3 * Y2 * Y3 * Y2 * Y1)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y3 * Y2 * Y3 * Y2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y1)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 44, 172, 300, 428)(23, 151, 279, 407, 48, 176, 304, 432)(25, 153, 281, 409, 52, 180, 308, 436)(26, 154, 282, 410, 54, 182, 310, 438)(27, 155, 283, 411, 56, 184, 312, 440)(29, 157, 285, 413, 60, 188, 316, 444)(31, 159, 287, 415, 64, 192, 320, 448)(33, 161, 289, 417, 67, 195, 323, 451)(34, 162, 290, 418, 68, 196, 324, 452)(35, 163, 291, 419, 69, 197, 325, 453)(37, 165, 293, 421, 72, 200, 328, 456)(39, 167, 295, 423, 74, 202, 330, 458)(41, 169, 297, 425, 75, 203, 331, 459)(42, 170, 298, 426, 76, 204, 332, 460)(43, 171, 299, 427, 77, 205, 333, 461)(45, 173, 301, 429, 78, 206, 334, 462)(46, 174, 302, 430, 79, 207, 335, 463)(47, 175, 303, 431, 81, 209, 337, 465)(49, 177, 305, 433, 84, 212, 340, 468)(50, 178, 306, 434, 85, 213, 341, 469)(51, 179, 307, 435, 86, 214, 342, 470)(53, 181, 309, 437, 89, 217, 345, 473)(55, 183, 311, 439, 91, 219, 347, 475)(57, 185, 313, 441, 92, 220, 348, 476)(58, 186, 314, 442, 93, 221, 349, 477)(59, 187, 315, 443, 94, 222, 350, 478)(61, 189, 317, 445, 95, 223, 351, 479)(62, 190, 318, 446, 96, 224, 352, 480)(63, 191, 319, 447, 98, 226, 354, 482)(65, 193, 321, 449, 101, 229, 357, 485)(66, 194, 322, 450, 102, 230, 358, 486)(70, 198, 326, 454, 104, 232, 360, 488)(71, 199, 327, 455, 90, 218, 346, 474)(73, 201, 329, 457, 88, 216, 344, 472)(80, 208, 336, 464, 110, 238, 366, 494)(82, 210, 338, 466, 113, 241, 369, 497)(83, 211, 339, 467, 114, 242, 370, 498)(87, 215, 343, 471, 116, 244, 372, 500)(97, 225, 353, 481, 117, 245, 373, 501)(99, 227, 355, 483, 115, 243, 371, 499)(100, 228, 356, 484, 122, 250, 378, 506)(103, 231, 359, 487, 111, 239, 367, 495)(105, 233, 361, 489, 109, 237, 365, 493)(106, 234, 362, 490, 123, 251, 379, 507)(107, 235, 363, 491, 121, 249, 377, 505)(108, 236, 364, 492, 124, 252, 380, 508)(112, 240, 368, 496, 126, 254, 382, 510)(118, 246, 374, 502, 127, 255, 383, 511)(119, 247, 375, 503, 125, 253, 381, 509)(120, 248, 376, 504, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 175)(24, 177)(25, 140)(26, 181)(27, 183)(28, 185)(29, 142)(30, 189)(31, 143)(32, 187)(33, 144)(34, 179)(35, 178)(36, 186)(37, 146)(38, 190)(39, 147)(40, 188)(41, 148)(42, 180)(43, 176)(44, 184)(45, 150)(46, 182)(47, 151)(48, 171)(49, 152)(50, 163)(51, 162)(52, 170)(53, 154)(54, 174)(55, 155)(56, 172)(57, 156)(58, 164)(59, 160)(60, 168)(61, 158)(62, 166)(63, 225)(64, 227)(65, 228)(66, 220)(67, 219)(68, 231)(69, 214)(70, 222)(71, 226)(72, 230)(73, 229)(74, 212)(75, 211)(76, 234)(77, 215)(78, 233)(79, 235)(80, 237)(81, 239)(82, 240)(83, 203)(84, 202)(85, 243)(86, 197)(87, 205)(88, 238)(89, 242)(90, 241)(91, 195)(92, 194)(93, 246)(94, 198)(95, 245)(96, 247)(97, 191)(98, 199)(99, 192)(100, 193)(101, 201)(102, 200)(103, 196)(104, 248)(105, 206)(106, 204)(107, 207)(108, 244)(109, 208)(110, 216)(111, 209)(112, 210)(113, 218)(114, 217)(115, 213)(116, 236)(117, 223)(118, 221)(119, 224)(120, 232)(121, 253)(122, 255)(123, 254)(124, 256)(125, 249)(126, 251)(127, 250)(128, 252)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 426)(277, 427)(278, 430)(279, 395)(280, 434)(281, 435)(282, 396)(283, 397)(284, 442)(285, 443)(286, 446)(287, 447)(288, 449)(289, 450)(290, 400)(291, 401)(292, 454)(293, 455)(294, 457)(295, 448)(296, 456)(297, 451)(298, 404)(299, 405)(300, 453)(301, 452)(302, 406)(303, 464)(304, 466)(305, 467)(306, 408)(307, 409)(308, 471)(309, 472)(310, 474)(311, 465)(312, 473)(313, 468)(314, 412)(315, 413)(316, 470)(317, 469)(318, 414)(319, 415)(320, 423)(321, 416)(322, 417)(323, 425)(324, 429)(325, 428)(326, 420)(327, 421)(328, 424)(329, 422)(330, 487)(331, 489)(332, 491)(333, 485)(334, 492)(335, 484)(336, 431)(337, 439)(338, 432)(339, 433)(340, 441)(341, 445)(342, 444)(343, 436)(344, 437)(345, 440)(346, 438)(347, 499)(348, 501)(349, 503)(350, 497)(351, 504)(352, 496)(353, 505)(354, 500)(355, 502)(356, 463)(357, 461)(358, 506)(359, 458)(360, 494)(361, 459)(362, 495)(363, 460)(364, 462)(365, 509)(366, 488)(367, 490)(368, 480)(369, 478)(370, 510)(371, 475)(372, 482)(373, 476)(374, 483)(375, 477)(376, 479)(377, 481)(378, 486)(379, 512)(380, 511)(381, 493)(382, 498)(383, 508)(384, 507)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1925
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1928 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5304>$ (small group id <256, 5304>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, (Y2 * Y1)^8 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 49, 177, 305, 433, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 57, 185, 313, 441, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 46, 174, 302, 430, 65, 193, 321, 449, 47, 175, 303, 431)(28, 156, 284, 412, 51, 179, 307, 435, 30, 158, 286, 414, 52, 180, 308, 436)(35, 163, 291, 419, 54, 182, 310, 438, 73, 201, 329, 457, 55, 183, 311, 439)(38, 166, 294, 422, 59, 187, 315, 443, 40, 168, 296, 424, 60, 188, 316, 444)(45, 173, 301, 429, 62, 190, 318, 446, 81, 209, 337, 465, 63, 191, 319, 447)(48, 176, 304, 432, 67, 195, 323, 451, 50, 178, 306, 434, 68, 196, 324, 452)(53, 181, 309, 437, 70, 198, 326, 454, 89, 217, 345, 473, 71, 199, 327, 455)(56, 184, 312, 440, 75, 203, 331, 459, 58, 186, 314, 442, 76, 204, 332, 460)(61, 189, 317, 445, 78, 206, 334, 462, 97, 225, 353, 481, 79, 207, 335, 463)(64, 192, 320, 448, 83, 211, 339, 467, 66, 194, 322, 450, 84, 212, 340, 468)(69, 197, 325, 453, 86, 214, 342, 470, 105, 233, 361, 489, 87, 215, 343, 471)(72, 200, 328, 456, 91, 219, 347, 475, 74, 202, 330, 458, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478, 112, 240, 368, 496, 95, 223, 351, 479)(80, 208, 336, 464, 99, 227, 355, 483, 82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486, 119, 247, 375, 503, 103, 231, 359, 487)(88, 216, 344, 472, 107, 235, 363, 491, 90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 109, 237, 365, 493, 123, 251, 379, 507, 110, 238, 366, 494)(96, 224, 352, 480, 114, 242, 370, 498, 98, 226, 354, 482, 115, 243, 371, 499)(101, 229, 357, 485, 116, 244, 372, 500, 126, 254, 382, 510, 117, 245, 373, 501)(104, 232, 360, 488, 121, 249, 377, 505, 106, 234, 362, 490, 122, 250, 378, 506)(111, 239, 367, 495, 124, 252, 380, 508, 113, 241, 369, 497, 125, 253, 381, 509)(118, 246, 374, 502, 127, 255, 383, 511, 120, 248, 376, 504, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 173)(26, 176)(27, 178)(28, 175)(29, 177)(30, 174)(31, 179)(32, 180)(33, 172)(34, 171)(35, 181)(36, 184)(37, 186)(38, 183)(39, 185)(40, 182)(41, 187)(42, 188)(43, 162)(44, 161)(45, 153)(46, 158)(47, 156)(48, 154)(49, 157)(50, 155)(51, 159)(52, 160)(53, 163)(54, 168)(55, 166)(56, 164)(57, 167)(58, 165)(59, 169)(60, 170)(61, 205)(62, 208)(63, 210)(64, 207)(65, 209)(66, 206)(67, 211)(68, 212)(69, 213)(70, 216)(71, 218)(72, 215)(73, 217)(74, 214)(75, 219)(76, 220)(77, 189)(78, 194)(79, 192)(80, 190)(81, 193)(82, 191)(83, 195)(84, 196)(85, 197)(86, 202)(87, 200)(88, 198)(89, 201)(90, 199)(91, 203)(92, 204)(93, 229)(94, 239)(95, 241)(96, 238)(97, 240)(98, 237)(99, 242)(100, 243)(101, 221)(102, 246)(103, 248)(104, 245)(105, 247)(106, 244)(107, 249)(108, 250)(109, 226)(110, 224)(111, 222)(112, 225)(113, 223)(114, 227)(115, 228)(116, 234)(117, 232)(118, 230)(119, 233)(120, 231)(121, 235)(122, 236)(123, 254)(124, 256)(125, 255)(126, 251)(127, 253)(128, 252)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 427)(288, 428)(289, 425)(290, 426)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 417)(298, 418)(299, 415)(300, 416)(301, 445)(302, 448)(303, 450)(304, 447)(305, 449)(306, 446)(307, 451)(308, 452)(309, 453)(310, 456)(311, 458)(312, 455)(313, 457)(314, 454)(315, 459)(316, 460)(317, 429)(318, 434)(319, 432)(320, 430)(321, 433)(322, 431)(323, 435)(324, 436)(325, 437)(326, 442)(327, 440)(328, 438)(329, 441)(330, 439)(331, 443)(332, 444)(333, 477)(334, 480)(335, 482)(336, 479)(337, 481)(338, 478)(339, 483)(340, 484)(341, 485)(342, 488)(343, 490)(344, 487)(345, 489)(346, 486)(347, 491)(348, 492)(349, 461)(350, 466)(351, 464)(352, 462)(353, 465)(354, 463)(355, 467)(356, 468)(357, 469)(358, 474)(359, 472)(360, 470)(361, 473)(362, 471)(363, 475)(364, 476)(365, 504)(366, 502)(367, 501)(368, 507)(369, 500)(370, 508)(371, 509)(372, 497)(373, 495)(374, 494)(375, 510)(376, 493)(377, 511)(378, 512)(379, 496)(380, 498)(381, 499)(382, 503)(383, 505)(384, 506)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1922
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1929 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y1 * Y3^-1)^2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3 * Y2 * Y1)^2, (Y1 * Y3^-1 * Y2)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 49, 177, 305, 433, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 63, 191, 319, 447, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 46, 174, 302, 430, 77, 205, 333, 461, 47, 175, 303, 431)(28, 156, 284, 412, 51, 179, 307, 435, 30, 158, 286, 414, 52, 180, 308, 436)(35, 163, 291, 419, 60, 188, 316, 444, 93, 221, 349, 477, 61, 189, 317, 445)(38, 166, 294, 422, 65, 193, 321, 449, 40, 168, 296, 424, 66, 194, 322, 450)(45, 173, 301, 429, 74, 202, 330, 458, 108, 236, 364, 492, 75, 203, 331, 459)(48, 176, 304, 432, 79, 207, 335, 463, 50, 178, 306, 434, 80, 208, 336, 464)(53, 181, 309, 437, 83, 211, 339, 467, 55, 183, 311, 439, 84, 212, 340, 468)(54, 182, 310, 438, 85, 213, 341, 469, 56, 184, 312, 440, 86, 214, 342, 470)(57, 185, 313, 441, 87, 215, 343, 471, 58, 186, 314, 442, 88, 216, 344, 472)(59, 187, 315, 443, 90, 218, 346, 474, 116, 244, 372, 500, 91, 219, 347, 475)(62, 190, 318, 446, 95, 223, 351, 479, 64, 192, 320, 448, 96, 224, 352, 480)(67, 195, 323, 451, 99, 227, 355, 483, 69, 197, 325, 453, 100, 228, 356, 484)(68, 196, 324, 452, 101, 229, 357, 485, 70, 198, 326, 454, 102, 230, 358, 486)(71, 199, 327, 455, 103, 231, 359, 487, 72, 200, 328, 456, 104, 232, 360, 488)(73, 201, 329, 457, 106, 234, 362, 490, 122, 250, 378, 506, 107, 235, 363, 491)(76, 204, 332, 460, 98, 226, 354, 482, 78, 206, 334, 462, 97, 225, 353, 481)(81, 209, 337, 465, 92, 220, 348, 476, 82, 210, 338, 466, 94, 222, 350, 478)(89, 217, 345, 473, 114, 242, 370, 498, 126, 254, 382, 510, 115, 243, 371, 499)(105, 233, 361, 489, 118, 246, 374, 502, 127, 255, 383, 511, 117, 245, 373, 501)(109, 237, 365, 493, 113, 241, 369, 497, 110, 238, 366, 494, 123, 251, 379, 507)(111, 239, 367, 495, 121, 249, 377, 505, 112, 240, 368, 496, 124, 252, 380, 508)(119, 247, 375, 503, 125, 253, 381, 509, 120, 248, 376, 504, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 173)(26, 176)(27, 178)(28, 175)(29, 177)(30, 174)(31, 181)(32, 183)(33, 184)(34, 182)(35, 187)(36, 190)(37, 192)(38, 189)(39, 191)(40, 188)(41, 195)(42, 197)(43, 198)(44, 196)(45, 153)(46, 158)(47, 156)(48, 154)(49, 157)(50, 155)(51, 199)(52, 200)(53, 159)(54, 162)(55, 160)(56, 161)(57, 193)(58, 194)(59, 163)(60, 168)(61, 166)(62, 164)(63, 167)(64, 165)(65, 185)(66, 186)(67, 169)(68, 172)(69, 170)(70, 171)(71, 179)(72, 180)(73, 233)(74, 227)(75, 228)(76, 235)(77, 236)(78, 234)(79, 224)(80, 223)(81, 226)(82, 225)(83, 218)(84, 219)(85, 238)(86, 237)(87, 239)(88, 240)(89, 241)(90, 211)(91, 212)(92, 243)(93, 244)(94, 242)(95, 208)(96, 207)(97, 210)(98, 209)(99, 202)(100, 203)(101, 246)(102, 245)(103, 247)(104, 248)(105, 201)(106, 206)(107, 204)(108, 205)(109, 214)(110, 213)(111, 215)(112, 216)(113, 217)(114, 222)(115, 220)(116, 221)(117, 230)(118, 229)(119, 231)(120, 232)(121, 253)(122, 255)(123, 254)(124, 256)(125, 249)(126, 251)(127, 250)(128, 252)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 438)(288, 440)(289, 441)(290, 442)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 452)(298, 454)(299, 455)(300, 456)(301, 457)(302, 460)(303, 462)(304, 459)(305, 461)(306, 458)(307, 465)(308, 466)(309, 463)(310, 415)(311, 464)(312, 416)(313, 417)(314, 418)(315, 473)(316, 476)(317, 478)(318, 475)(319, 477)(320, 474)(321, 481)(322, 482)(323, 479)(324, 425)(325, 480)(326, 426)(327, 427)(328, 428)(329, 429)(330, 434)(331, 432)(332, 430)(333, 433)(334, 431)(335, 437)(336, 439)(337, 435)(338, 436)(339, 493)(340, 494)(341, 495)(342, 496)(343, 490)(344, 491)(345, 443)(346, 448)(347, 446)(348, 444)(349, 447)(350, 445)(351, 451)(352, 453)(353, 449)(354, 450)(355, 501)(356, 502)(357, 503)(358, 504)(359, 498)(360, 499)(361, 505)(362, 471)(363, 472)(364, 506)(365, 467)(366, 468)(367, 469)(368, 470)(369, 509)(370, 487)(371, 488)(372, 510)(373, 483)(374, 484)(375, 485)(376, 486)(377, 489)(378, 492)(379, 512)(380, 511)(381, 497)(382, 500)(383, 508)(384, 507)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1923
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1930 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 26818>$ (small group id <256, 26818>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 15, 143)(7, 135, 18, 146)(8, 136, 20, 148)(10, 138, 24, 152)(11, 139, 26, 154)(13, 141, 19, 147)(16, 144, 34, 162)(17, 145, 36, 164)(21, 149, 41, 169)(22, 150, 40, 168)(23, 151, 37, 165)(25, 153, 44, 172)(27, 155, 33, 161)(28, 156, 38, 166)(29, 157, 39, 167)(30, 158, 32, 160)(31, 159, 51, 179)(35, 163, 54, 182)(42, 170, 64, 192)(43, 171, 66, 194)(45, 173, 63, 191)(46, 174, 60, 188)(47, 175, 59, 187)(48, 176, 62, 190)(49, 177, 57, 185)(50, 178, 56, 184)(52, 180, 72, 200)(53, 181, 74, 202)(55, 183, 71, 199)(58, 186, 70, 198)(61, 189, 77, 205)(65, 193, 80, 208)(67, 195, 83, 211)(68, 196, 82, 210)(69, 197, 85, 213)(73, 201, 88, 216)(75, 203, 91, 219)(76, 204, 90, 218)(78, 206, 96, 224)(79, 207, 98, 226)(81, 209, 95, 223)(84, 212, 94, 222)(86, 214, 104, 232)(87, 215, 106, 234)(89, 217, 103, 231)(92, 220, 102, 230)(93, 221, 109, 237)(97, 225, 112, 240)(99, 227, 115, 243)(100, 228, 114, 242)(101, 229, 117, 245)(105, 233, 120, 248)(107, 235, 123, 251)(108, 236, 122, 250)(110, 238, 118, 246)(111, 239, 119, 247)(113, 241, 121, 249)(116, 244, 124, 252)(125, 253, 128, 256)(126, 254, 127, 255)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 273, 401)(264, 392, 272, 400)(265, 393, 277, 405)(268, 396, 283, 411)(269, 397, 281, 409)(270, 398, 286, 414)(271, 399, 287, 415)(274, 402, 293, 421)(275, 403, 291, 419)(276, 404, 296, 424)(278, 406, 299, 427)(279, 407, 298, 426)(280, 408, 301, 429)(282, 410, 304, 432)(284, 412, 306, 434)(285, 413, 305, 433)(288, 416, 309, 437)(289, 417, 308, 436)(290, 418, 311, 439)(292, 420, 314, 442)(294, 422, 316, 444)(295, 423, 315, 443)(297, 425, 317, 445)(300, 428, 321, 449)(302, 430, 324, 452)(303, 431, 323, 451)(307, 435, 325, 453)(310, 438, 329, 457)(312, 440, 332, 460)(313, 441, 331, 459)(318, 446, 335, 463)(319, 447, 334, 462)(320, 448, 337, 465)(322, 450, 340, 468)(326, 454, 343, 471)(327, 455, 342, 470)(328, 456, 345, 473)(330, 458, 348, 476)(333, 461, 349, 477)(336, 464, 353, 481)(338, 466, 356, 484)(339, 467, 355, 483)(341, 469, 357, 485)(344, 472, 361, 489)(346, 474, 364, 492)(347, 475, 363, 491)(350, 478, 367, 495)(351, 479, 366, 494)(352, 480, 369, 497)(354, 482, 372, 500)(358, 486, 375, 503)(359, 487, 374, 502)(360, 488, 377, 505)(362, 490, 380, 508)(365, 493, 379, 507)(368, 496, 381, 509)(370, 498, 382, 510)(371, 499, 373, 501)(376, 504, 383, 511)(378, 506, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 272)(7, 275)(8, 258)(9, 278)(10, 281)(11, 259)(12, 284)(13, 261)(14, 285)(15, 288)(16, 291)(17, 262)(18, 294)(19, 264)(20, 295)(21, 298)(22, 300)(23, 265)(24, 302)(25, 267)(26, 303)(27, 305)(28, 270)(29, 268)(30, 306)(31, 308)(32, 310)(33, 271)(34, 312)(35, 273)(36, 313)(37, 315)(38, 276)(39, 274)(40, 316)(41, 318)(42, 321)(43, 277)(44, 279)(45, 323)(46, 282)(47, 280)(48, 324)(49, 286)(50, 283)(51, 326)(52, 329)(53, 287)(54, 289)(55, 331)(56, 292)(57, 290)(58, 332)(59, 296)(60, 293)(61, 334)(62, 336)(63, 297)(64, 338)(65, 299)(66, 339)(67, 304)(68, 301)(69, 342)(70, 344)(71, 307)(72, 346)(73, 309)(74, 347)(75, 314)(76, 311)(77, 350)(78, 353)(79, 317)(80, 319)(81, 355)(82, 322)(83, 320)(84, 356)(85, 358)(86, 361)(87, 325)(88, 327)(89, 363)(90, 330)(91, 328)(92, 364)(93, 366)(94, 368)(95, 333)(96, 370)(97, 335)(98, 371)(99, 340)(100, 337)(101, 374)(102, 376)(103, 341)(104, 378)(105, 343)(106, 379)(107, 348)(108, 345)(109, 380)(110, 381)(111, 349)(112, 351)(113, 373)(114, 354)(115, 352)(116, 382)(117, 372)(118, 383)(119, 357)(120, 359)(121, 365)(122, 362)(123, 360)(124, 384)(125, 367)(126, 369)(127, 375)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1932
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1931 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 26833>$ (small group id <256, 26833>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, Y3^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^16 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 7, 135)(5, 133, 8, 136)(6, 134, 13, 141)(10, 138, 18, 146)(11, 139, 19, 147)(12, 140, 16, 144)(14, 142, 22, 150)(15, 143, 23, 151)(17, 145, 25, 153)(20, 148, 28, 156)(21, 149, 29, 157)(24, 152, 32, 160)(26, 154, 34, 162)(27, 155, 35, 163)(30, 158, 38, 166)(31, 159, 39, 167)(33, 161, 41, 169)(36, 164, 44, 172)(37, 165, 45, 173)(40, 168, 48, 176)(42, 170, 50, 178)(43, 171, 51, 179)(46, 174, 54, 182)(47, 175, 55, 183)(49, 177, 57, 185)(52, 180, 60, 188)(53, 181, 61, 189)(56, 184, 64, 192)(58, 186, 66, 194)(59, 187, 67, 195)(62, 190, 70, 198)(63, 191, 71, 199)(65, 193, 73, 201)(68, 196, 76, 204)(69, 197, 77, 205)(72, 200, 80, 208)(74, 202, 82, 210)(75, 203, 83, 211)(78, 206, 86, 214)(79, 207, 87, 215)(81, 209, 89, 217)(84, 212, 92, 220)(85, 213, 93, 221)(88, 216, 96, 224)(90, 218, 98, 226)(91, 219, 99, 227)(94, 222, 102, 230)(95, 223, 103, 231)(97, 225, 105, 233)(100, 228, 108, 236)(101, 229, 109, 237)(104, 232, 112, 240)(106, 234, 114, 242)(107, 235, 115, 243)(110, 238, 118, 246)(111, 239, 119, 247)(113, 241, 117, 245)(116, 244, 123, 251)(120, 248, 126, 254)(121, 249, 124, 252)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 271, 399)(264, 392, 270, 398)(265, 393, 273, 401)(268, 396, 276, 404)(269, 397, 277, 405)(272, 400, 280, 408)(274, 402, 283, 411)(275, 403, 282, 410)(278, 406, 287, 415)(279, 407, 286, 414)(281, 409, 289, 417)(284, 412, 292, 420)(285, 413, 293, 421)(288, 416, 296, 424)(290, 418, 299, 427)(291, 419, 298, 426)(294, 422, 303, 431)(295, 423, 302, 430)(297, 425, 305, 433)(300, 428, 308, 436)(301, 429, 309, 437)(304, 432, 312, 440)(306, 434, 315, 443)(307, 435, 314, 442)(310, 438, 319, 447)(311, 439, 318, 446)(313, 441, 321, 449)(316, 444, 324, 452)(317, 445, 325, 453)(320, 448, 328, 456)(322, 450, 331, 459)(323, 451, 330, 458)(326, 454, 335, 463)(327, 455, 334, 462)(329, 457, 337, 465)(332, 460, 340, 468)(333, 461, 341, 469)(336, 464, 344, 472)(338, 466, 347, 475)(339, 467, 346, 474)(342, 470, 351, 479)(343, 471, 350, 478)(345, 473, 353, 481)(348, 476, 356, 484)(349, 477, 357, 485)(352, 480, 360, 488)(354, 482, 363, 491)(355, 483, 362, 490)(358, 486, 367, 495)(359, 487, 366, 494)(361, 489, 369, 497)(364, 492, 372, 500)(365, 493, 373, 501)(368, 496, 376, 504)(370, 498, 378, 506)(371, 499, 377, 505)(374, 502, 381, 509)(375, 503, 380, 508)(379, 507, 383, 511)(382, 510, 384, 512)
	L = (1, 260)(2, 263)(3, 266)(4, 268)(5, 257)(6, 270)(7, 272)(8, 258)(9, 274)(10, 276)(11, 259)(12, 261)(13, 278)(14, 280)(15, 262)(16, 264)(17, 282)(18, 284)(19, 265)(20, 267)(21, 286)(22, 288)(23, 269)(24, 271)(25, 290)(26, 292)(27, 273)(28, 275)(29, 294)(30, 296)(31, 277)(32, 279)(33, 298)(34, 300)(35, 281)(36, 283)(37, 302)(38, 304)(39, 285)(40, 287)(41, 306)(42, 308)(43, 289)(44, 291)(45, 310)(46, 312)(47, 293)(48, 295)(49, 314)(50, 316)(51, 297)(52, 299)(53, 318)(54, 320)(55, 301)(56, 303)(57, 322)(58, 324)(59, 305)(60, 307)(61, 326)(62, 328)(63, 309)(64, 311)(65, 330)(66, 332)(67, 313)(68, 315)(69, 334)(70, 336)(71, 317)(72, 319)(73, 338)(74, 340)(75, 321)(76, 323)(77, 342)(78, 344)(79, 325)(80, 327)(81, 346)(82, 348)(83, 329)(84, 331)(85, 350)(86, 352)(87, 333)(88, 335)(89, 354)(90, 356)(91, 337)(92, 339)(93, 358)(94, 360)(95, 341)(96, 343)(97, 362)(98, 364)(99, 345)(100, 347)(101, 366)(102, 368)(103, 349)(104, 351)(105, 370)(106, 372)(107, 353)(108, 355)(109, 374)(110, 376)(111, 357)(112, 359)(113, 377)(114, 379)(115, 361)(116, 363)(117, 380)(118, 382)(119, 365)(120, 367)(121, 383)(122, 369)(123, 371)(124, 384)(125, 373)(126, 375)(127, 378)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1933
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1932 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 26818>$ (small group id <256, 26818>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y1 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y3 * Y2)^2, (Y3^-1 * Y1^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 19, 147, 13, 141)(4, 132, 15, 143, 20, 148, 10, 138)(6, 134, 18, 146, 21, 149, 9, 137)(8, 136, 22, 150, 17, 145, 24, 152)(12, 140, 30, 158, 37, 165, 29, 157)(14, 142, 33, 161, 38, 166, 28, 156)(16, 144, 26, 154, 39, 167, 35, 163)(23, 151, 43, 171, 34, 162, 42, 170)(25, 153, 46, 174, 36, 164, 41, 169)(27, 155, 47, 175, 32, 160, 49, 177)(31, 159, 51, 179, 56, 184, 53, 181)(40, 168, 57, 185, 45, 173, 59, 187)(44, 172, 61, 189, 55, 183, 63, 191)(48, 176, 68, 196, 52, 180, 67, 195)(50, 178, 71, 199, 54, 182, 66, 194)(58, 186, 76, 204, 62, 190, 75, 203)(60, 188, 79, 207, 64, 192, 74, 202)(65, 193, 81, 209, 70, 198, 83, 211)(69, 197, 85, 213, 72, 200, 87, 215)(73, 201, 89, 217, 78, 206, 91, 219)(77, 205, 93, 221, 80, 208, 95, 223)(82, 210, 100, 228, 86, 214, 99, 227)(84, 212, 103, 231, 88, 216, 98, 226)(90, 218, 108, 236, 94, 222, 107, 235)(92, 220, 111, 239, 96, 224, 106, 234)(97, 225, 113, 241, 102, 230, 115, 243)(101, 229, 117, 245, 104, 232, 119, 247)(105, 233, 121, 249, 110, 238, 123, 251)(109, 237, 125, 253, 112, 240, 127, 255)(114, 242, 122, 250, 118, 246, 126, 254)(116, 244, 124, 252, 120, 248, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 275, 403)(265, 393, 281, 409)(266, 394, 279, 407)(267, 395, 283, 411)(269, 397, 288, 416)(271, 399, 290, 418)(272, 400, 287, 415)(274, 402, 292, 420)(276, 404, 294, 422)(277, 405, 293, 421)(278, 406, 296, 424)(280, 408, 301, 429)(282, 410, 300, 428)(284, 412, 306, 434)(285, 413, 304, 432)(286, 414, 308, 436)(289, 417, 310, 438)(291, 419, 311, 439)(295, 423, 312, 440)(297, 425, 316, 444)(298, 426, 314, 442)(299, 427, 318, 446)(302, 430, 320, 448)(303, 431, 321, 449)(305, 433, 326, 454)(307, 435, 325, 453)(309, 437, 328, 456)(313, 441, 329, 457)(315, 443, 334, 462)(317, 445, 333, 461)(319, 447, 336, 464)(322, 450, 340, 468)(323, 451, 338, 466)(324, 452, 342, 470)(327, 455, 344, 472)(330, 458, 348, 476)(331, 459, 346, 474)(332, 460, 350, 478)(335, 463, 352, 480)(337, 465, 353, 481)(339, 467, 358, 486)(341, 469, 357, 485)(343, 471, 360, 488)(345, 473, 361, 489)(347, 475, 366, 494)(349, 477, 365, 493)(351, 479, 368, 496)(354, 482, 372, 500)(355, 483, 370, 498)(356, 484, 374, 502)(359, 487, 376, 504)(362, 490, 380, 508)(363, 491, 378, 506)(364, 492, 382, 510)(367, 495, 384, 512)(369, 497, 383, 511)(371, 499, 381, 509)(373, 501, 377, 505)(375, 503, 379, 507)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 276)(8, 279)(9, 282)(10, 258)(11, 284)(12, 287)(13, 289)(14, 259)(15, 261)(16, 262)(17, 290)(18, 291)(19, 293)(20, 295)(21, 263)(22, 297)(23, 300)(24, 302)(25, 264)(26, 266)(27, 304)(28, 307)(29, 267)(30, 269)(31, 270)(32, 308)(33, 309)(34, 311)(35, 271)(36, 273)(37, 312)(38, 275)(39, 277)(40, 314)(41, 317)(42, 278)(43, 280)(44, 281)(45, 318)(46, 319)(47, 322)(48, 325)(49, 327)(50, 283)(51, 285)(52, 328)(53, 286)(54, 288)(55, 292)(56, 294)(57, 330)(58, 333)(59, 335)(60, 296)(61, 298)(62, 336)(63, 299)(64, 301)(65, 338)(66, 341)(67, 303)(68, 305)(69, 306)(70, 342)(71, 343)(72, 310)(73, 346)(74, 349)(75, 313)(76, 315)(77, 316)(78, 350)(79, 351)(80, 320)(81, 354)(82, 357)(83, 359)(84, 321)(85, 323)(86, 360)(87, 324)(88, 326)(89, 362)(90, 365)(91, 367)(92, 329)(93, 331)(94, 368)(95, 332)(96, 334)(97, 370)(98, 373)(99, 337)(100, 339)(101, 340)(102, 374)(103, 375)(104, 344)(105, 378)(106, 381)(107, 345)(108, 347)(109, 348)(110, 382)(111, 383)(112, 352)(113, 384)(114, 377)(115, 380)(116, 353)(117, 355)(118, 379)(119, 356)(120, 358)(121, 372)(122, 371)(123, 376)(124, 361)(125, 363)(126, 369)(127, 364)(128, 366)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1930
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1933 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 938>$ (small group id <128, 938>)
Aut   = $<256, 26833>$ (small group id <256, 26833>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y1^-1)^2, Y1^-1 * Y3^2 * Y1^-1, (Y1^-1 * Y3^-1)^2, Y3^2 * Y1^2, (Y3 * Y2)^2, (Y3^-1, Y1^-1), (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2 * Y3^2 * Y2 * Y1^-1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 16, 144, 13, 141)(4, 132, 9, 137, 6, 134, 10, 138)(8, 136, 17, 145, 15, 143, 19, 147)(12, 140, 22, 150, 14, 142, 23, 151)(18, 146, 26, 154, 20, 148, 27, 155)(21, 149, 29, 157, 24, 152, 31, 159)(25, 153, 33, 161, 28, 156, 35, 163)(30, 158, 38, 166, 32, 160, 39, 167)(34, 162, 42, 170, 36, 164, 43, 171)(37, 165, 45, 173, 40, 168, 47, 175)(41, 169, 49, 177, 44, 172, 51, 179)(46, 174, 54, 182, 48, 176, 55, 183)(50, 178, 58, 186, 52, 180, 59, 187)(53, 181, 61, 189, 56, 184, 63, 191)(57, 185, 65, 193, 60, 188, 67, 195)(62, 190, 70, 198, 64, 192, 71, 199)(66, 194, 74, 202, 68, 196, 75, 203)(69, 197, 77, 205, 72, 200, 79, 207)(73, 201, 81, 209, 76, 204, 83, 211)(78, 206, 86, 214, 80, 208, 87, 215)(82, 210, 90, 218, 84, 212, 91, 219)(85, 213, 93, 221, 88, 216, 95, 223)(89, 217, 97, 225, 92, 220, 99, 227)(94, 222, 102, 230, 96, 224, 103, 231)(98, 226, 106, 234, 100, 228, 107, 235)(101, 229, 109, 237, 104, 232, 111, 239)(105, 233, 113, 241, 108, 236, 115, 243)(110, 238, 118, 246, 112, 240, 119, 247)(114, 242, 122, 250, 116, 244, 123, 251)(117, 245, 121, 249, 120, 248, 124, 252)(125, 253, 127, 255, 126, 254, 128, 256)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 271, 399)(262, 390, 268, 396)(263, 391, 272, 400)(265, 393, 276, 404)(266, 394, 274, 402)(267, 395, 277, 405)(269, 397, 280, 408)(273, 401, 281, 409)(275, 403, 284, 412)(278, 406, 288, 416)(279, 407, 286, 414)(282, 410, 292, 420)(283, 411, 290, 418)(285, 413, 293, 421)(287, 415, 296, 424)(289, 417, 297, 425)(291, 419, 300, 428)(294, 422, 304, 432)(295, 423, 302, 430)(298, 426, 308, 436)(299, 427, 306, 434)(301, 429, 309, 437)(303, 431, 312, 440)(305, 433, 313, 441)(307, 435, 316, 444)(310, 438, 320, 448)(311, 439, 318, 446)(314, 442, 324, 452)(315, 443, 322, 450)(317, 445, 325, 453)(319, 447, 328, 456)(321, 449, 329, 457)(323, 451, 332, 460)(326, 454, 336, 464)(327, 455, 334, 462)(330, 458, 340, 468)(331, 459, 338, 466)(333, 461, 341, 469)(335, 463, 344, 472)(337, 465, 345, 473)(339, 467, 348, 476)(342, 470, 352, 480)(343, 471, 350, 478)(346, 474, 356, 484)(347, 475, 354, 482)(349, 477, 357, 485)(351, 479, 360, 488)(353, 481, 361, 489)(355, 483, 364, 492)(358, 486, 368, 496)(359, 487, 366, 494)(362, 490, 372, 500)(363, 491, 370, 498)(365, 493, 373, 501)(367, 495, 376, 504)(369, 497, 377, 505)(371, 499, 380, 508)(374, 502, 382, 510)(375, 503, 381, 509)(378, 506, 384, 512)(379, 507, 383, 511)
	L = (1, 260)(2, 265)(3, 268)(4, 263)(5, 266)(6, 257)(7, 262)(8, 274)(9, 261)(10, 258)(11, 278)(12, 272)(13, 279)(14, 259)(15, 276)(16, 270)(17, 282)(18, 271)(19, 283)(20, 264)(21, 286)(22, 269)(23, 267)(24, 288)(25, 290)(26, 275)(27, 273)(28, 292)(29, 294)(30, 280)(31, 295)(32, 277)(33, 298)(34, 284)(35, 299)(36, 281)(37, 302)(38, 287)(39, 285)(40, 304)(41, 306)(42, 291)(43, 289)(44, 308)(45, 310)(46, 296)(47, 311)(48, 293)(49, 314)(50, 300)(51, 315)(52, 297)(53, 318)(54, 303)(55, 301)(56, 320)(57, 322)(58, 307)(59, 305)(60, 324)(61, 326)(62, 312)(63, 327)(64, 309)(65, 330)(66, 316)(67, 331)(68, 313)(69, 334)(70, 319)(71, 317)(72, 336)(73, 338)(74, 323)(75, 321)(76, 340)(77, 342)(78, 328)(79, 343)(80, 325)(81, 346)(82, 332)(83, 347)(84, 329)(85, 350)(86, 335)(87, 333)(88, 352)(89, 354)(90, 339)(91, 337)(92, 356)(93, 358)(94, 344)(95, 359)(96, 341)(97, 362)(98, 348)(99, 363)(100, 345)(101, 366)(102, 351)(103, 349)(104, 368)(105, 370)(106, 355)(107, 353)(108, 372)(109, 374)(110, 360)(111, 375)(112, 357)(113, 378)(114, 364)(115, 379)(116, 361)(117, 381)(118, 367)(119, 365)(120, 382)(121, 383)(122, 371)(123, 369)(124, 384)(125, 376)(126, 373)(127, 380)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1931
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1934 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 453>$ (small group id <128, 453>)
Aut   = $<256, 12743>$ (small group id <256, 12743>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (R * Y2 * Y3^-1)^2, (Y3^2 * Y1)^2, Y3^8, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1, (Y3 * Y1 * Y2 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1, Y1 * Y3 * Y2 * Y1 * R * Y3 * Y2 * Y1 * Y2 * R * Y1 * Y2, Y2 * Y1 * Y2 * Y1 * Y3^-3 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 16, 144)(7, 135, 19, 147)(8, 136, 21, 149)(10, 138, 26, 154)(11, 139, 28, 156)(13, 141, 22, 150)(15, 143, 20, 148)(17, 145, 40, 168)(18, 146, 42, 170)(23, 151, 51, 179)(24, 152, 48, 176)(25, 153, 44, 172)(27, 155, 55, 183)(29, 157, 54, 182)(30, 158, 39, 167)(31, 159, 45, 173)(32, 160, 49, 177)(33, 161, 65, 193)(34, 162, 38, 166)(35, 163, 46, 174)(36, 164, 68, 196)(37, 165, 69, 197)(41, 169, 73, 201)(43, 171, 72, 200)(47, 175, 83, 211)(50, 178, 86, 214)(52, 180, 90, 218)(53, 181, 92, 220)(56, 184, 89, 217)(57, 185, 82, 210)(58, 186, 81, 209)(59, 187, 98, 226)(60, 188, 88, 216)(61, 189, 85, 213)(62, 190, 101, 229)(63, 191, 76, 204)(64, 192, 75, 203)(66, 194, 84, 212)(67, 195, 79, 207)(70, 198, 108, 236)(71, 199, 110, 238)(74, 202, 107, 235)(77, 205, 116, 244)(78, 206, 106, 234)(80, 208, 119, 247)(87, 215, 123, 251)(91, 219, 114, 242)(93, 221, 118, 246)(94, 222, 122, 250)(95, 223, 120, 248)(96, 224, 109, 237)(97, 225, 124, 252)(99, 227, 125, 253)(100, 228, 111, 239)(102, 230, 113, 241)(103, 231, 121, 249)(104, 232, 112, 240)(105, 233, 126, 254)(115, 243, 127, 255)(117, 245, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 274, 402)(264, 392, 273, 401)(265, 393, 279, 407)(268, 396, 286, 414)(269, 397, 285, 413)(270, 398, 290, 418)(271, 399, 283, 411)(272, 400, 293, 421)(275, 403, 300, 428)(276, 404, 299, 427)(277, 405, 304, 432)(278, 406, 297, 425)(280, 408, 309, 437)(281, 409, 308, 436)(282, 410, 312, 440)(284, 412, 316, 444)(287, 415, 320, 448)(288, 416, 319, 447)(289, 417, 318, 446)(291, 419, 323, 451)(292, 420, 315, 443)(294, 422, 327, 455)(295, 423, 326, 454)(296, 424, 330, 458)(298, 426, 334, 462)(301, 429, 338, 466)(302, 430, 337, 465)(303, 431, 336, 464)(305, 433, 341, 469)(306, 434, 333, 461)(307, 435, 343, 471)(310, 438, 349, 477)(311, 439, 347, 475)(313, 441, 353, 481)(314, 442, 352, 480)(317, 445, 356, 484)(321, 449, 358, 486)(322, 450, 355, 483)(324, 452, 360, 488)(325, 453, 361, 489)(328, 456, 367, 495)(329, 457, 365, 493)(331, 459, 371, 499)(332, 460, 370, 498)(335, 463, 374, 502)(339, 467, 376, 504)(340, 468, 373, 501)(342, 470, 378, 506)(344, 472, 375, 503)(345, 473, 372, 500)(346, 474, 369, 497)(348, 476, 368, 496)(350, 478, 366, 494)(351, 479, 364, 492)(354, 482, 363, 491)(357, 485, 362, 490)(359, 487, 379, 507)(377, 505, 382, 510)(380, 508, 384, 512)(381, 509, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 273)(7, 276)(8, 258)(9, 280)(10, 283)(11, 259)(12, 287)(13, 289)(14, 291)(15, 261)(16, 294)(17, 297)(18, 262)(19, 301)(20, 303)(21, 305)(22, 264)(23, 308)(24, 310)(25, 265)(26, 313)(27, 315)(28, 317)(29, 267)(30, 319)(31, 270)(32, 268)(33, 322)(34, 320)(35, 324)(36, 271)(37, 326)(38, 328)(39, 272)(40, 331)(41, 333)(42, 335)(43, 274)(44, 337)(45, 277)(46, 275)(47, 340)(48, 338)(49, 342)(50, 278)(51, 344)(52, 347)(53, 279)(54, 350)(55, 281)(56, 352)(57, 284)(58, 282)(59, 355)(60, 353)(61, 357)(62, 285)(63, 358)(64, 286)(65, 288)(66, 292)(67, 290)(68, 359)(69, 362)(70, 365)(71, 293)(72, 368)(73, 295)(74, 370)(75, 298)(76, 296)(77, 373)(78, 371)(79, 375)(80, 299)(81, 376)(82, 300)(83, 302)(84, 306)(85, 304)(86, 377)(87, 372)(88, 374)(89, 307)(90, 380)(91, 364)(92, 367)(93, 309)(94, 381)(95, 311)(96, 363)(97, 312)(98, 314)(99, 318)(100, 316)(101, 361)(102, 379)(103, 321)(104, 323)(105, 354)(106, 356)(107, 325)(108, 383)(109, 346)(110, 349)(111, 327)(112, 384)(113, 329)(114, 345)(115, 330)(116, 332)(117, 336)(118, 334)(119, 343)(120, 382)(121, 339)(122, 341)(123, 360)(124, 348)(125, 351)(126, 378)(127, 366)(128, 369)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1935
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1935 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 453>$ (small group id <128, 453>)
Aut   = $<256, 12743>$ (small group id <256, 12743>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y2 * Y1^-2)^2, (R * Y2 * Y3^-1)^2, Y3^8, Y2 * Y1 * Y2 * R * Y1 * Y2 * Y1 * Y2 * R * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 20, 148, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 17, 145, 25, 153)(12, 140, 32, 160, 43, 171, 31, 159)(14, 142, 35, 163, 44, 172, 30, 158)(16, 144, 28, 156, 45, 173, 38, 166)(19, 147, 27, 155, 46, 174, 41, 169)(24, 152, 50, 178, 37, 165, 49, 177)(26, 154, 53, 181, 40, 168, 48, 176)(29, 157, 57, 185, 34, 162, 59, 187)(33, 161, 62, 190, 74, 202, 64, 192)(36, 164, 61, 189, 75, 203, 67, 195)(39, 167, 70, 198, 76, 204, 56, 184)(42, 170, 73, 201, 77, 205, 55, 183)(47, 175, 78, 206, 52, 180, 80, 208)(51, 179, 83, 211, 69, 197, 85, 213)(54, 182, 82, 210, 72, 200, 88, 216)(58, 186, 94, 222, 63, 191, 93, 221)(60, 188, 97, 225, 66, 194, 92, 220)(65, 193, 102, 230, 109, 237, 100, 228)(68, 196, 105, 233, 110, 238, 99, 227)(71, 199, 90, 218, 111, 239, 107, 235)(79, 207, 115, 243, 84, 212, 114, 242)(81, 209, 118, 246, 87, 215, 113, 241)(86, 214, 123, 251, 106, 234, 121, 249)(89, 217, 126, 254, 108, 236, 120, 248)(91, 219, 124, 252, 96, 224, 127, 255)(95, 223, 122, 250, 101, 229, 116, 244)(98, 226, 125, 253, 104, 232, 119, 247)(103, 231, 112, 240, 128, 256, 117, 245)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 285, 413)(269, 397, 290, 418)(271, 399, 293, 421)(272, 400, 292, 420)(274, 402, 296, 424)(275, 403, 289, 417)(277, 405, 300, 428)(278, 406, 299, 427)(279, 407, 303, 431)(281, 409, 308, 436)(283, 411, 310, 438)(284, 412, 307, 435)(286, 414, 316, 444)(287, 415, 314, 442)(288, 416, 319, 447)(291, 419, 322, 450)(294, 422, 325, 453)(295, 423, 324, 452)(297, 425, 328, 456)(298, 426, 321, 449)(301, 429, 331, 459)(302, 430, 330, 458)(304, 432, 337, 465)(305, 433, 335, 463)(306, 434, 340, 468)(309, 437, 343, 471)(311, 439, 345, 473)(312, 440, 342, 470)(313, 441, 347, 475)(315, 443, 352, 480)(317, 445, 354, 482)(318, 446, 351, 479)(320, 448, 357, 485)(323, 451, 360, 488)(326, 454, 362, 490)(327, 455, 359, 487)(329, 457, 364, 492)(332, 460, 366, 494)(333, 461, 365, 493)(334, 462, 368, 496)(336, 464, 373, 501)(338, 466, 375, 503)(339, 467, 372, 500)(341, 469, 378, 506)(344, 472, 381, 509)(346, 474, 380, 508)(348, 476, 382, 510)(349, 477, 379, 507)(350, 478, 377, 505)(353, 481, 376, 504)(355, 483, 369, 497)(356, 484, 370, 498)(358, 486, 371, 499)(361, 489, 374, 502)(363, 491, 383, 511)(367, 495, 384, 512)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 286)(12, 289)(13, 291)(14, 259)(15, 261)(16, 295)(17, 293)(18, 297)(19, 262)(20, 299)(21, 301)(22, 263)(23, 304)(24, 307)(25, 309)(26, 264)(27, 311)(28, 266)(29, 314)(30, 317)(31, 267)(32, 269)(33, 321)(34, 319)(35, 323)(36, 270)(37, 325)(38, 271)(39, 327)(40, 273)(41, 329)(42, 275)(43, 330)(44, 276)(45, 332)(46, 278)(47, 335)(48, 338)(49, 279)(50, 281)(51, 342)(52, 340)(53, 344)(54, 282)(55, 346)(56, 284)(57, 348)(58, 351)(59, 353)(60, 285)(61, 355)(62, 287)(63, 357)(64, 288)(65, 359)(66, 290)(67, 361)(68, 292)(69, 362)(70, 294)(71, 298)(72, 296)(73, 363)(74, 365)(75, 300)(76, 367)(77, 302)(78, 369)(79, 372)(80, 374)(81, 303)(82, 376)(83, 305)(84, 378)(85, 306)(86, 380)(87, 308)(88, 382)(89, 310)(90, 312)(91, 379)(92, 381)(93, 313)(94, 315)(95, 370)(96, 377)(97, 375)(98, 316)(99, 368)(100, 318)(101, 371)(102, 320)(103, 324)(104, 322)(105, 373)(106, 383)(107, 326)(108, 328)(109, 384)(110, 331)(111, 333)(112, 356)(113, 354)(114, 334)(115, 336)(116, 350)(117, 358)(118, 360)(119, 337)(120, 352)(121, 339)(122, 349)(123, 341)(124, 345)(125, 343)(126, 347)(127, 364)(128, 366)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1934
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1936 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y3 * Y2)^4, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y1 * Y3 * Y1 * Y2)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 161, 33, 144)(18, 165, 37, 146)(19, 167, 39, 147)(20, 169, 41, 148)(22, 173, 45, 150)(23, 174, 46, 151)(24, 176, 48, 152)(26, 180, 52, 154)(27, 182, 54, 155)(28, 184, 56, 156)(30, 188, 60, 158)(32, 186, 58, 160)(34, 178, 50, 162)(35, 177, 49, 163)(36, 185, 57, 164)(38, 181, 53, 166)(40, 187, 59, 168)(42, 179, 51, 170)(43, 175, 47, 171)(44, 183, 55, 172)(61, 213, 85, 189)(62, 215, 87, 190)(63, 216, 88, 191)(64, 217, 89, 192)(65, 219, 91, 193)(66, 220, 92, 194)(67, 207, 79, 195)(68, 208, 80, 196)(69, 214, 86, 197)(70, 218, 90, 198)(71, 221, 93, 199)(72, 222, 94, 200)(73, 223, 95, 201)(74, 225, 97, 202)(75, 226, 98, 203)(76, 227, 99, 204)(77, 229, 101, 205)(78, 230, 102, 206)(81, 224, 96, 209)(82, 228, 100, 210)(83, 231, 103, 211)(84, 232, 104, 212)(105, 251, 123, 233)(106, 250, 122, 234)(107, 252, 124, 235)(108, 249, 121, 236)(109, 248, 120, 237)(110, 253, 125, 238)(111, 246, 118, 239)(112, 245, 117, 240)(113, 243, 115, 241)(114, 254, 126, 242)(116, 255, 127, 244)(119, 256, 128, 247)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 34)(17, 35)(20, 42)(21, 43)(22, 38)(24, 49)(25, 50)(28, 57)(29, 58)(30, 53)(31, 61)(32, 63)(33, 64)(36, 68)(37, 69)(39, 62)(40, 70)(41, 65)(44, 67)(45, 66)(46, 73)(47, 75)(48, 76)(51, 80)(52, 81)(54, 74)(55, 82)(56, 77)(59, 79)(60, 78)(71, 92)(72, 88)(83, 102)(84, 98)(85, 105)(86, 107)(87, 108)(89, 106)(90, 110)(91, 109)(93, 111)(94, 113)(95, 114)(96, 116)(97, 117)(99, 115)(100, 119)(101, 118)(103, 120)(104, 122)(112, 124)(121, 127)(123, 128)(125, 126)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 164)(146, 166)(147, 168)(149, 172)(151, 175)(153, 179)(154, 181)(155, 183)(157, 187)(159, 190)(161, 193)(162, 194)(163, 195)(165, 198)(167, 199)(169, 200)(170, 197)(171, 196)(173, 191)(174, 202)(176, 205)(177, 206)(178, 207)(180, 210)(182, 211)(184, 212)(185, 209)(186, 208)(188, 203)(189, 214)(192, 218)(201, 224)(204, 228)(213, 234)(215, 237)(216, 238)(217, 239)(219, 240)(220, 235)(221, 241)(222, 233)(223, 243)(225, 246)(226, 247)(227, 248)(229, 249)(230, 244)(231, 250)(232, 242)(236, 253)(245, 256)(251, 255)(252, 254)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1937
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1937 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y1^-1 * Y3 * Y2)^2, (Y1^-1 * Y2 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y2 * Y3)^2, (Y3 * Y2)^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 173, 45, 157, 29, 175, 47, 153)(26, 176, 48, 158, 30, 177, 49, 154)(28, 179, 51, 186, 58, 174, 46, 156)(31, 181, 53, 162, 34, 183, 55, 159)(33, 185, 57, 187, 59, 182, 54, 161)(37, 188, 60, 168, 40, 190, 62, 165)(38, 191, 63, 169, 41, 192, 64, 166)(39, 193, 65, 184, 56, 189, 61, 167)(42, 195, 67, 172, 44, 197, 69, 170)(43, 198, 70, 178, 50, 196, 68, 171)(52, 194, 66, 210, 82, 206, 78, 180)(71, 221, 93, 202, 74, 223, 95, 199)(72, 224, 96, 203, 75, 225, 97, 200)(73, 226, 98, 207, 79, 222, 94, 201)(76, 227, 99, 205, 77, 228, 100, 204)(80, 229, 101, 209, 81, 230, 102, 208)(83, 231, 103, 214, 86, 233, 105, 211)(84, 234, 106, 215, 87, 235, 107, 212)(85, 236, 108, 218, 90, 232, 104, 213)(88, 237, 109, 217, 89, 238, 110, 216)(91, 239, 111, 220, 92, 240, 112, 219)(113, 251, 123, 243, 115, 249, 121, 241)(114, 256, 128, 244, 116, 255, 127, 242)(117, 254, 126, 246, 118, 253, 125, 245)(119, 252, 124, 248, 120, 250, 122, 247)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 54)(32, 56)(33, 52)(34, 57)(35, 58)(42, 68)(43, 66)(44, 70)(45, 71)(46, 73)(47, 74)(48, 75)(49, 72)(50, 78)(51, 79)(53, 76)(55, 77)(59, 82)(60, 83)(61, 85)(62, 86)(63, 87)(64, 84)(65, 90)(67, 88)(69, 89)(80, 98)(81, 94)(91, 108)(92, 104)(93, 113)(95, 115)(96, 116)(97, 114)(99, 117)(100, 118)(101, 120)(102, 119)(103, 121)(105, 123)(106, 124)(107, 122)(109, 125)(110, 126)(111, 128)(112, 127)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 174)(155, 178)(156, 180)(157, 179)(164, 187)(165, 189)(167, 194)(168, 193)(173, 200)(175, 203)(176, 204)(177, 205)(181, 208)(182, 207)(183, 209)(184, 206)(185, 201)(186, 210)(188, 212)(190, 215)(191, 216)(192, 217)(195, 219)(196, 218)(197, 220)(198, 213)(199, 222)(202, 226)(211, 232)(214, 236)(221, 242)(223, 244)(224, 245)(225, 246)(227, 247)(228, 248)(229, 241)(230, 243)(231, 250)(233, 252)(234, 253)(235, 254)(237, 255)(238, 256)(239, 249)(240, 251)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1936
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1938 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y1 * Y2 * Y1 * Y3 * Y2)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y2)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 31, 159)(17, 145, 35, 163)(18, 146, 37, 165)(19, 147, 39, 167)(21, 149, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 52, 180)(27, 155, 54, 182)(29, 157, 58, 186)(32, 160, 61, 189)(33, 161, 62, 190)(34, 162, 63, 191)(36, 164, 65, 193)(38, 166, 67, 195)(40, 168, 68, 196)(41, 169, 69, 197)(42, 170, 70, 198)(44, 172, 71, 199)(45, 173, 72, 200)(47, 175, 73, 201)(48, 176, 74, 202)(49, 177, 75, 203)(51, 179, 77, 205)(53, 181, 79, 207)(55, 183, 80, 208)(56, 184, 81, 209)(57, 185, 82, 210)(59, 187, 83, 211)(60, 188, 84, 212)(64, 192, 87, 215)(66, 194, 88, 216)(76, 204, 97, 225)(78, 206, 98, 226)(85, 213, 105, 233)(86, 214, 106, 234)(89, 217, 108, 236)(90, 218, 109, 237)(91, 219, 110, 238)(92, 220, 111, 239)(93, 221, 112, 240)(94, 222, 113, 241)(95, 223, 114, 242)(96, 224, 115, 243)(99, 227, 117, 245)(100, 228, 118, 246)(101, 229, 119, 247)(102, 230, 120, 248)(103, 231, 121, 249)(104, 232, 122, 250)(107, 235, 124, 252)(116, 244, 127, 255)(123, 251, 128, 256)(125, 253, 126, 254)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 279)(272, 288)(274, 292)(275, 294)(276, 296)(278, 300)(280, 303)(282, 307)(283, 309)(284, 311)(286, 315)(287, 313)(289, 305)(290, 304)(291, 312)(293, 316)(295, 314)(297, 306)(298, 302)(299, 310)(301, 308)(317, 341)(318, 342)(319, 331)(320, 338)(321, 333)(322, 335)(323, 334)(324, 345)(325, 347)(326, 332)(327, 346)(328, 348)(329, 351)(330, 352)(336, 355)(337, 357)(339, 356)(340, 358)(343, 359)(344, 363)(349, 353)(350, 361)(354, 372)(360, 370)(362, 379)(364, 381)(365, 378)(366, 380)(367, 377)(368, 376)(369, 374)(371, 382)(373, 384)(375, 383)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 417)(401, 418)(404, 425)(405, 426)(406, 429)(408, 432)(409, 433)(412, 440)(413, 441)(414, 444)(415, 437)(416, 435)(419, 448)(420, 431)(421, 450)(422, 430)(423, 449)(424, 445)(427, 447)(428, 446)(434, 460)(436, 462)(438, 461)(439, 457)(442, 459)(443, 458)(451, 470)(452, 474)(453, 476)(454, 469)(455, 477)(456, 478)(463, 480)(464, 484)(465, 486)(466, 479)(467, 487)(468, 488)(471, 491)(472, 483)(473, 482)(475, 490)(481, 500)(485, 499)(489, 507)(492, 508)(493, 505)(494, 504)(495, 503)(496, 502)(497, 509)(498, 510)(501, 511)(506, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1941
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1939 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, (Y2 * Y1)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 48, 176, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 61, 189, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 45, 173, 71, 199, 46, 174)(28, 156, 50, 178, 30, 158, 51, 179)(35, 163, 58, 186, 82, 210, 59, 187)(38, 166, 63, 191, 40, 168, 64, 192)(47, 175, 72, 200, 49, 177, 73, 201)(52, 180, 76, 204, 54, 182, 77, 205)(53, 181, 78, 206, 55, 183, 79, 207)(56, 184, 80, 208, 57, 185, 81, 209)(60, 188, 83, 211, 62, 190, 84, 212)(65, 193, 87, 215, 67, 195, 88, 216)(66, 194, 89, 217, 68, 196, 90, 218)(69, 197, 91, 219, 70, 198, 92, 220)(74, 202, 93, 221, 75, 203, 94, 222)(85, 213, 103, 231, 86, 214, 104, 232)(95, 223, 113, 241, 97, 225, 114, 242)(96, 224, 115, 243, 98, 226, 116, 244)(99, 227, 117, 245, 100, 228, 118, 246)(101, 229, 119, 247, 102, 230, 120, 248)(105, 233, 121, 249, 107, 235, 122, 250)(106, 234, 123, 251, 108, 236, 124, 252)(109, 237, 125, 253, 110, 238, 126, 254)(111, 239, 127, 255, 112, 240, 128, 256)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 291)(282, 303)(283, 305)(284, 302)(285, 304)(286, 301)(287, 308)(288, 310)(289, 311)(290, 309)(292, 316)(293, 318)(294, 315)(295, 317)(296, 314)(297, 321)(298, 323)(299, 324)(300, 322)(306, 325)(307, 326)(312, 319)(313, 320)(327, 338)(328, 342)(329, 341)(330, 340)(331, 339)(332, 351)(333, 353)(334, 354)(335, 352)(336, 355)(337, 356)(343, 361)(344, 363)(345, 364)(346, 362)(347, 365)(348, 366)(349, 368)(350, 367)(357, 360)(358, 359)(369, 378)(370, 377)(371, 383)(372, 384)(373, 382)(374, 381)(375, 379)(376, 380)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 437)(416, 439)(417, 440)(418, 441)(425, 450)(426, 452)(427, 453)(428, 454)(429, 446)(430, 444)(431, 443)(432, 455)(433, 442)(434, 458)(435, 459)(436, 456)(438, 457)(445, 466)(447, 469)(448, 470)(449, 467)(451, 468)(460, 480)(461, 482)(462, 483)(463, 484)(464, 485)(465, 486)(471, 490)(472, 492)(473, 493)(474, 494)(475, 495)(476, 496)(477, 489)(478, 491)(479, 487)(481, 488)(497, 512)(498, 511)(499, 510)(500, 509)(501, 508)(502, 507)(503, 506)(504, 505)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1940
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1940 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y2 * Y1)^4, (Y1 * Y2 * Y1 * Y3 * Y2)^2, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y1 * Y3 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y2)^4, Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y1 * Y3 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 31, 159, 287, 415)(17, 145, 273, 401, 35, 163, 291, 419)(18, 146, 274, 402, 37, 165, 293, 421)(19, 147, 275, 403, 39, 167, 295, 423)(21, 149, 277, 405, 43, 171, 299, 427)(23, 151, 279, 407, 46, 174, 302, 430)(25, 153, 281, 409, 50, 178, 306, 434)(26, 154, 282, 410, 52, 180, 308, 436)(27, 155, 283, 411, 54, 182, 310, 438)(29, 157, 285, 413, 58, 186, 314, 442)(32, 160, 288, 416, 61, 189, 317, 445)(33, 161, 289, 417, 62, 190, 318, 446)(34, 162, 290, 418, 63, 191, 319, 447)(36, 164, 292, 420, 65, 193, 321, 449)(38, 166, 294, 422, 67, 195, 323, 451)(40, 168, 296, 424, 68, 196, 324, 452)(41, 169, 297, 425, 69, 197, 325, 453)(42, 170, 298, 426, 70, 198, 326, 454)(44, 172, 300, 428, 71, 199, 327, 455)(45, 173, 301, 429, 72, 200, 328, 456)(47, 175, 303, 431, 73, 201, 329, 457)(48, 176, 304, 432, 74, 202, 330, 458)(49, 177, 305, 433, 75, 203, 331, 459)(51, 179, 307, 435, 77, 205, 333, 461)(53, 181, 309, 437, 79, 207, 335, 463)(55, 183, 311, 439, 80, 208, 336, 464)(56, 184, 312, 440, 81, 209, 337, 465)(57, 185, 313, 441, 82, 210, 338, 466)(59, 187, 315, 443, 83, 211, 339, 467)(60, 188, 316, 444, 84, 212, 340, 468)(64, 192, 320, 448, 87, 215, 343, 471)(66, 194, 322, 450, 88, 216, 344, 472)(76, 204, 332, 460, 97, 225, 353, 481)(78, 206, 334, 462, 98, 226, 354, 482)(85, 213, 341, 469, 105, 233, 361, 489)(86, 214, 342, 470, 106, 234, 362, 490)(89, 217, 345, 473, 108, 236, 364, 492)(90, 218, 346, 474, 109, 237, 365, 493)(91, 219, 347, 475, 110, 238, 366, 494)(92, 220, 348, 476, 111, 239, 367, 495)(93, 221, 349, 477, 112, 240, 368, 496)(94, 222, 350, 478, 113, 241, 369, 497)(95, 223, 351, 479, 114, 242, 370, 498)(96, 224, 352, 480, 115, 243, 371, 499)(99, 227, 355, 483, 117, 245, 373, 501)(100, 228, 356, 484, 118, 246, 374, 502)(101, 229, 357, 485, 119, 247, 375, 503)(102, 230, 358, 486, 120, 248, 376, 504)(103, 231, 359, 487, 121, 249, 377, 505)(104, 232, 360, 488, 122, 250, 378, 506)(107, 235, 363, 491, 124, 252, 380, 508)(116, 244, 372, 500, 127, 255, 383, 511)(123, 251, 379, 507, 128, 256, 384, 512)(125, 253, 381, 509, 126, 254, 382, 510)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 151)(16, 160)(17, 136)(18, 164)(19, 166)(20, 168)(21, 138)(22, 172)(23, 143)(24, 175)(25, 140)(26, 179)(27, 181)(28, 183)(29, 142)(30, 187)(31, 185)(32, 144)(33, 177)(34, 176)(35, 184)(36, 146)(37, 188)(38, 147)(39, 186)(40, 148)(41, 178)(42, 174)(43, 182)(44, 150)(45, 180)(46, 170)(47, 152)(48, 162)(49, 161)(50, 169)(51, 154)(52, 173)(53, 155)(54, 171)(55, 156)(56, 163)(57, 159)(58, 167)(59, 158)(60, 165)(61, 213)(62, 214)(63, 203)(64, 210)(65, 205)(66, 207)(67, 206)(68, 217)(69, 219)(70, 204)(71, 218)(72, 220)(73, 223)(74, 224)(75, 191)(76, 198)(77, 193)(78, 195)(79, 194)(80, 227)(81, 229)(82, 192)(83, 228)(84, 230)(85, 189)(86, 190)(87, 231)(88, 235)(89, 196)(90, 199)(91, 197)(92, 200)(93, 225)(94, 233)(95, 201)(96, 202)(97, 221)(98, 244)(99, 208)(100, 211)(101, 209)(102, 212)(103, 215)(104, 242)(105, 222)(106, 251)(107, 216)(108, 253)(109, 250)(110, 252)(111, 249)(112, 248)(113, 246)(114, 232)(115, 254)(116, 226)(117, 256)(118, 241)(119, 255)(120, 240)(121, 239)(122, 237)(123, 234)(124, 238)(125, 236)(126, 243)(127, 247)(128, 245)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 417)(273, 418)(274, 392)(275, 393)(276, 425)(277, 426)(278, 429)(279, 395)(280, 432)(281, 433)(282, 396)(283, 397)(284, 440)(285, 441)(286, 444)(287, 437)(288, 435)(289, 400)(290, 401)(291, 448)(292, 431)(293, 450)(294, 430)(295, 449)(296, 445)(297, 404)(298, 405)(299, 447)(300, 446)(301, 406)(302, 422)(303, 420)(304, 408)(305, 409)(306, 460)(307, 416)(308, 462)(309, 415)(310, 461)(311, 457)(312, 412)(313, 413)(314, 459)(315, 458)(316, 414)(317, 424)(318, 428)(319, 427)(320, 419)(321, 423)(322, 421)(323, 470)(324, 474)(325, 476)(326, 469)(327, 477)(328, 478)(329, 439)(330, 443)(331, 442)(332, 434)(333, 438)(334, 436)(335, 480)(336, 484)(337, 486)(338, 479)(339, 487)(340, 488)(341, 454)(342, 451)(343, 491)(344, 483)(345, 482)(346, 452)(347, 490)(348, 453)(349, 455)(350, 456)(351, 466)(352, 463)(353, 500)(354, 473)(355, 472)(356, 464)(357, 499)(358, 465)(359, 467)(360, 468)(361, 507)(362, 475)(363, 471)(364, 508)(365, 505)(366, 504)(367, 503)(368, 502)(369, 509)(370, 510)(371, 485)(372, 481)(373, 511)(374, 496)(375, 495)(376, 494)(377, 493)(378, 512)(379, 489)(380, 492)(381, 497)(382, 498)(383, 501)(384, 506)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1939
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1941 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 5312>$ (small group id <256, 5312>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, (Y2 * Y1)^4, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 48, 176, 304, 432, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 61, 189, 317, 445, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 45, 173, 301, 429, 71, 199, 327, 455, 46, 174, 302, 430)(28, 156, 284, 412, 50, 178, 306, 434, 30, 158, 286, 414, 51, 179, 307, 435)(35, 163, 291, 419, 58, 186, 314, 442, 82, 210, 338, 466, 59, 187, 315, 443)(38, 166, 294, 422, 63, 191, 319, 447, 40, 168, 296, 424, 64, 192, 320, 448)(47, 175, 303, 431, 72, 200, 328, 456, 49, 177, 305, 433, 73, 201, 329, 457)(52, 180, 308, 436, 76, 204, 332, 460, 54, 182, 310, 438, 77, 205, 333, 461)(53, 181, 309, 437, 78, 206, 334, 462, 55, 183, 311, 439, 79, 207, 335, 463)(56, 184, 312, 440, 80, 208, 336, 464, 57, 185, 313, 441, 81, 209, 337, 465)(60, 188, 316, 444, 83, 211, 339, 467, 62, 190, 318, 446, 84, 212, 340, 468)(65, 193, 321, 449, 87, 215, 343, 471, 67, 195, 323, 451, 88, 216, 344, 472)(66, 194, 322, 450, 89, 217, 345, 473, 68, 196, 324, 452, 90, 218, 346, 474)(69, 197, 325, 453, 91, 219, 347, 475, 70, 198, 326, 454, 92, 220, 348, 476)(74, 202, 330, 458, 93, 221, 349, 477, 75, 203, 331, 459, 94, 222, 350, 478)(85, 213, 341, 469, 103, 231, 359, 487, 86, 214, 342, 470, 104, 232, 360, 488)(95, 223, 351, 479, 113, 241, 369, 497, 97, 225, 353, 481, 114, 242, 370, 498)(96, 224, 352, 480, 115, 243, 371, 499, 98, 226, 354, 482, 116, 244, 372, 500)(99, 227, 355, 483, 117, 245, 373, 501, 100, 228, 356, 484, 118, 246, 374, 502)(101, 229, 357, 485, 119, 247, 375, 503, 102, 230, 358, 486, 120, 248, 376, 504)(105, 233, 361, 489, 121, 249, 377, 505, 107, 235, 363, 491, 122, 250, 378, 506)(106, 234, 362, 490, 123, 251, 379, 507, 108, 236, 364, 492, 124, 252, 380, 508)(109, 237, 365, 493, 125, 253, 381, 509, 110, 238, 366, 494, 126, 254, 382, 510)(111, 239, 367, 495, 127, 255, 383, 511, 112, 240, 368, 496, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 163)(26, 175)(27, 177)(28, 174)(29, 176)(30, 173)(31, 180)(32, 182)(33, 183)(34, 181)(35, 153)(36, 188)(37, 190)(38, 187)(39, 189)(40, 186)(41, 193)(42, 195)(43, 196)(44, 194)(45, 158)(46, 156)(47, 154)(48, 157)(49, 155)(50, 197)(51, 198)(52, 159)(53, 162)(54, 160)(55, 161)(56, 191)(57, 192)(58, 168)(59, 166)(60, 164)(61, 167)(62, 165)(63, 184)(64, 185)(65, 169)(66, 172)(67, 170)(68, 171)(69, 178)(70, 179)(71, 210)(72, 214)(73, 213)(74, 212)(75, 211)(76, 223)(77, 225)(78, 226)(79, 224)(80, 227)(81, 228)(82, 199)(83, 203)(84, 202)(85, 201)(86, 200)(87, 233)(88, 235)(89, 236)(90, 234)(91, 237)(92, 238)(93, 240)(94, 239)(95, 204)(96, 207)(97, 205)(98, 206)(99, 208)(100, 209)(101, 232)(102, 231)(103, 230)(104, 229)(105, 215)(106, 218)(107, 216)(108, 217)(109, 219)(110, 220)(111, 222)(112, 221)(113, 250)(114, 249)(115, 255)(116, 256)(117, 254)(118, 253)(119, 251)(120, 252)(121, 242)(122, 241)(123, 247)(124, 248)(125, 246)(126, 245)(127, 243)(128, 244)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 437)(288, 439)(289, 440)(290, 441)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 450)(298, 452)(299, 453)(300, 454)(301, 446)(302, 444)(303, 443)(304, 455)(305, 442)(306, 458)(307, 459)(308, 456)(309, 415)(310, 457)(311, 416)(312, 417)(313, 418)(314, 433)(315, 431)(316, 430)(317, 466)(318, 429)(319, 469)(320, 470)(321, 467)(322, 425)(323, 468)(324, 426)(325, 427)(326, 428)(327, 432)(328, 436)(329, 438)(330, 434)(331, 435)(332, 480)(333, 482)(334, 483)(335, 484)(336, 485)(337, 486)(338, 445)(339, 449)(340, 451)(341, 447)(342, 448)(343, 490)(344, 492)(345, 493)(346, 494)(347, 495)(348, 496)(349, 489)(350, 491)(351, 487)(352, 460)(353, 488)(354, 461)(355, 462)(356, 463)(357, 464)(358, 465)(359, 479)(360, 481)(361, 477)(362, 471)(363, 478)(364, 472)(365, 473)(366, 474)(367, 475)(368, 476)(369, 512)(370, 511)(371, 510)(372, 509)(373, 508)(374, 507)(375, 506)(376, 505)(377, 504)(378, 503)(379, 502)(380, 501)(381, 500)(382, 499)(383, 498)(384, 497)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1938
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1942 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 26818>$ (small group id <256, 26818>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y3 * Y1 * Y2 * Y1)^2, Y3^7 * Y1 * Y3^-1 * Y1, (Y2 * Y1 * Y2 * R * Y1)^2, Y2 * Y1 * Y2 * Y3^2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 16, 144)(7, 135, 19, 147)(8, 136, 21, 149)(10, 138, 26, 154)(11, 139, 28, 156)(13, 141, 22, 150)(15, 143, 20, 148)(17, 145, 40, 168)(18, 146, 42, 170)(23, 151, 51, 179)(24, 152, 48, 176)(25, 153, 44, 172)(27, 155, 55, 183)(29, 157, 54, 182)(30, 158, 39, 167)(31, 159, 45, 173)(32, 160, 49, 177)(33, 161, 65, 193)(34, 162, 38, 166)(35, 163, 46, 174)(36, 164, 68, 196)(37, 165, 70, 198)(41, 169, 74, 202)(43, 171, 73, 201)(47, 175, 84, 212)(50, 178, 87, 215)(52, 180, 92, 220)(53, 181, 94, 222)(56, 184, 91, 219)(57, 185, 83, 211)(58, 186, 82, 210)(59, 187, 100, 228)(60, 188, 90, 218)(61, 189, 86, 214)(62, 190, 103, 231)(63, 191, 77, 205)(64, 192, 76, 204)(66, 194, 88, 216)(67, 195, 80, 208)(69, 197, 85, 213)(71, 199, 110, 238)(72, 200, 112, 240)(75, 203, 109, 237)(78, 206, 118, 246)(79, 207, 108, 236)(81, 209, 121, 249)(89, 217, 122, 250)(93, 221, 116, 244)(95, 223, 113, 241)(96, 224, 124, 252)(97, 225, 123, 251)(98, 226, 111, 239)(99, 227, 125, 253)(101, 229, 126, 254)(102, 230, 120, 248)(104, 232, 107, 235)(105, 233, 115, 243)(106, 234, 114, 242)(117, 245, 127, 255)(119, 247, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 274, 402)(264, 392, 273, 401)(265, 393, 279, 407)(268, 396, 286, 414)(269, 397, 285, 413)(270, 398, 290, 418)(271, 399, 283, 411)(272, 400, 293, 421)(275, 403, 300, 428)(276, 404, 299, 427)(277, 405, 304, 432)(278, 406, 297, 425)(280, 408, 309, 437)(281, 409, 308, 436)(282, 410, 312, 440)(284, 412, 316, 444)(287, 415, 320, 448)(288, 416, 319, 447)(289, 417, 318, 446)(291, 419, 323, 451)(292, 420, 315, 443)(294, 422, 328, 456)(295, 423, 327, 455)(296, 424, 331, 459)(298, 426, 335, 463)(301, 429, 339, 467)(302, 430, 338, 466)(303, 431, 337, 465)(305, 433, 342, 470)(306, 434, 334, 462)(307, 435, 345, 473)(310, 438, 351, 479)(311, 439, 349, 477)(313, 441, 355, 483)(314, 442, 354, 482)(317, 445, 358, 486)(321, 449, 361, 489)(322, 450, 360, 488)(324, 452, 362, 490)(325, 453, 357, 485)(326, 454, 363, 491)(329, 457, 369, 497)(330, 458, 367, 495)(332, 460, 373, 501)(333, 461, 372, 500)(336, 464, 376, 504)(340, 468, 379, 507)(341, 469, 378, 506)(343, 471, 380, 508)(344, 472, 375, 503)(346, 474, 370, 498)(347, 475, 374, 502)(348, 476, 371, 499)(350, 478, 377, 505)(352, 480, 364, 492)(353, 481, 366, 494)(356, 484, 365, 493)(359, 487, 368, 496)(381, 509, 384, 512)(382, 510, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 273)(7, 276)(8, 258)(9, 280)(10, 283)(11, 259)(12, 287)(13, 289)(14, 291)(15, 261)(16, 294)(17, 297)(18, 262)(19, 301)(20, 303)(21, 305)(22, 264)(23, 308)(24, 310)(25, 265)(26, 313)(27, 315)(28, 317)(29, 267)(30, 319)(31, 270)(32, 268)(33, 322)(34, 320)(35, 324)(36, 271)(37, 327)(38, 329)(39, 272)(40, 332)(41, 334)(42, 336)(43, 274)(44, 338)(45, 277)(46, 275)(47, 341)(48, 339)(49, 343)(50, 278)(51, 346)(52, 349)(53, 279)(54, 352)(55, 281)(56, 354)(57, 284)(58, 282)(59, 357)(60, 355)(61, 359)(62, 285)(63, 361)(64, 286)(65, 288)(66, 340)(67, 290)(68, 344)(69, 292)(70, 364)(71, 367)(72, 293)(73, 370)(74, 295)(75, 372)(76, 298)(77, 296)(78, 375)(79, 373)(80, 377)(81, 299)(82, 379)(83, 300)(84, 302)(85, 321)(86, 304)(87, 325)(88, 306)(89, 374)(90, 369)(91, 307)(92, 381)(93, 366)(94, 376)(95, 309)(96, 363)(97, 311)(98, 365)(99, 312)(100, 314)(101, 380)(102, 316)(103, 382)(104, 318)(105, 378)(106, 323)(107, 356)(108, 351)(109, 326)(110, 383)(111, 348)(112, 358)(113, 328)(114, 345)(115, 330)(116, 347)(117, 331)(118, 333)(119, 362)(120, 335)(121, 384)(122, 337)(123, 360)(124, 342)(125, 350)(126, 353)(127, 368)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1945
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1943 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 26842>$ (small group id <256, 26842>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y2 * R * Y2 * Y3^-2 * R, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^2, (Y3 * Y1)^4, (Y3^-1 * Y1 * Y2 * Y1)^2, Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y3 * Y1 * Y2, Y3^7 * Y1 * Y3^-1 * Y1, Y2 * Y1 * Y3^-1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1, Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3 * Y2 * Y1 * Y3 * Y2 * Y3^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 12, 140)(5, 133, 14, 142)(6, 134, 16, 144)(7, 135, 19, 147)(8, 136, 21, 149)(10, 138, 26, 154)(11, 139, 28, 156)(13, 141, 22, 150)(15, 143, 20, 148)(17, 145, 40, 168)(18, 146, 42, 170)(23, 151, 51, 179)(24, 152, 48, 176)(25, 153, 44, 172)(27, 155, 55, 183)(29, 157, 54, 182)(30, 158, 39, 167)(31, 159, 45, 173)(32, 160, 49, 177)(33, 161, 65, 193)(34, 162, 38, 166)(35, 163, 46, 174)(36, 164, 68, 196)(37, 165, 70, 198)(41, 169, 74, 202)(43, 171, 73, 201)(47, 175, 84, 212)(50, 178, 87, 215)(52, 180, 92, 220)(53, 181, 94, 222)(56, 184, 91, 219)(57, 185, 83, 211)(58, 186, 82, 210)(59, 187, 100, 228)(60, 188, 90, 218)(61, 189, 86, 214)(62, 190, 103, 231)(63, 191, 77, 205)(64, 192, 76, 204)(66, 194, 88, 216)(67, 195, 80, 208)(69, 197, 85, 213)(71, 199, 110, 238)(72, 200, 112, 240)(75, 203, 109, 237)(78, 206, 118, 246)(79, 207, 108, 236)(81, 209, 121, 249)(89, 217, 119, 247)(93, 221, 111, 239)(95, 223, 120, 248)(96, 224, 124, 252)(97, 225, 123, 251)(98, 226, 116, 244)(99, 227, 125, 253)(101, 229, 107, 235)(102, 230, 113, 241)(104, 232, 126, 254)(105, 233, 115, 243)(106, 234, 114, 242)(117, 245, 127, 255)(122, 250, 128, 256)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 274, 402)(264, 392, 273, 401)(265, 393, 279, 407)(268, 396, 286, 414)(269, 397, 285, 413)(270, 398, 290, 418)(271, 399, 283, 411)(272, 400, 293, 421)(275, 403, 300, 428)(276, 404, 299, 427)(277, 405, 304, 432)(278, 406, 297, 425)(280, 408, 309, 437)(281, 409, 308, 436)(282, 410, 312, 440)(284, 412, 316, 444)(287, 415, 320, 448)(288, 416, 319, 447)(289, 417, 318, 446)(291, 419, 323, 451)(292, 420, 315, 443)(294, 422, 328, 456)(295, 423, 327, 455)(296, 424, 331, 459)(298, 426, 335, 463)(301, 429, 339, 467)(302, 430, 338, 466)(303, 431, 337, 465)(305, 433, 342, 470)(306, 434, 334, 462)(307, 435, 345, 473)(310, 438, 351, 479)(311, 439, 349, 477)(313, 441, 355, 483)(314, 442, 354, 482)(317, 445, 358, 486)(321, 449, 361, 489)(322, 450, 360, 488)(324, 452, 362, 490)(325, 453, 357, 485)(326, 454, 363, 491)(329, 457, 369, 497)(330, 458, 367, 495)(332, 460, 373, 501)(333, 461, 372, 500)(336, 464, 376, 504)(340, 468, 379, 507)(341, 469, 378, 506)(343, 471, 380, 508)(344, 472, 375, 503)(346, 474, 377, 505)(347, 475, 371, 499)(348, 476, 374, 502)(350, 478, 370, 498)(352, 480, 368, 496)(353, 481, 365, 493)(356, 484, 366, 494)(359, 487, 364, 492)(381, 509, 384, 512)(382, 510, 383, 511)
	L = (1, 260)(2, 263)(3, 266)(4, 269)(5, 257)(6, 273)(7, 276)(8, 258)(9, 280)(10, 283)(11, 259)(12, 287)(13, 289)(14, 291)(15, 261)(16, 294)(17, 297)(18, 262)(19, 301)(20, 303)(21, 305)(22, 264)(23, 308)(24, 310)(25, 265)(26, 313)(27, 315)(28, 317)(29, 267)(30, 319)(31, 270)(32, 268)(33, 322)(34, 320)(35, 324)(36, 271)(37, 327)(38, 329)(39, 272)(40, 332)(41, 334)(42, 336)(43, 274)(44, 338)(45, 277)(46, 275)(47, 341)(48, 339)(49, 343)(50, 278)(51, 346)(52, 349)(53, 279)(54, 352)(55, 281)(56, 354)(57, 284)(58, 282)(59, 357)(60, 355)(61, 359)(62, 285)(63, 361)(64, 286)(65, 288)(66, 340)(67, 290)(68, 344)(69, 292)(70, 364)(71, 367)(72, 293)(73, 370)(74, 295)(75, 372)(76, 298)(77, 296)(78, 375)(79, 373)(80, 377)(81, 299)(82, 379)(83, 300)(84, 302)(85, 321)(86, 304)(87, 325)(88, 306)(89, 371)(90, 376)(91, 307)(92, 381)(93, 365)(94, 369)(95, 309)(96, 382)(97, 311)(98, 366)(99, 312)(100, 314)(101, 380)(102, 316)(103, 363)(104, 318)(105, 378)(106, 323)(107, 353)(108, 358)(109, 326)(110, 383)(111, 347)(112, 351)(113, 328)(114, 384)(115, 330)(116, 348)(117, 331)(118, 333)(119, 362)(120, 335)(121, 345)(122, 337)(123, 360)(124, 342)(125, 350)(126, 356)(127, 368)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1944
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1944 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 26842>$ (small group id <256, 26842>)
|r| :: 2
Presentation :: [ R^2, Y2^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1^2)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, R * Y2 * Y1 * Y2 * R * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3^-8 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 20, 148, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 17, 145, 25, 153)(12, 140, 32, 160, 43, 171, 31, 159)(14, 142, 35, 163, 44, 172, 30, 158)(16, 144, 28, 156, 45, 173, 38, 166)(19, 147, 27, 155, 46, 174, 41, 169)(24, 152, 50, 178, 37, 165, 49, 177)(26, 154, 53, 181, 40, 168, 48, 176)(29, 157, 57, 185, 34, 162, 59, 187)(33, 161, 62, 190, 75, 203, 64, 192)(36, 164, 61, 189, 76, 204, 67, 195)(39, 167, 70, 198, 77, 205, 56, 184)(42, 170, 73, 201, 78, 206, 55, 183)(47, 175, 79, 207, 52, 180, 81, 209)(51, 179, 84, 212, 69, 197, 86, 214)(54, 182, 83, 211, 72, 200, 89, 217)(58, 186, 96, 224, 63, 191, 95, 223)(60, 188, 99, 227, 66, 194, 94, 222)(65, 193, 104, 232, 111, 239, 102, 230)(68, 196, 107, 235, 112, 240, 101, 229)(71, 199, 92, 220, 74, 202, 91, 219)(80, 208, 116, 244, 85, 213, 115, 243)(82, 210, 119, 247, 88, 216, 114, 242)(87, 215, 124, 252, 109, 237, 122, 250)(90, 218, 127, 255, 110, 238, 121, 249)(93, 221, 128, 256, 98, 226, 125, 253)(97, 225, 117, 245, 103, 231, 123, 251)(100, 228, 126, 254, 106, 234, 120, 248)(105, 233, 118, 246, 108, 236, 113, 241)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 285, 413)(269, 397, 290, 418)(271, 399, 293, 421)(272, 400, 292, 420)(274, 402, 296, 424)(275, 403, 289, 417)(277, 405, 300, 428)(278, 406, 299, 427)(279, 407, 303, 431)(281, 409, 308, 436)(283, 411, 310, 438)(284, 412, 307, 435)(286, 414, 316, 444)(287, 415, 314, 442)(288, 416, 319, 447)(291, 419, 322, 450)(294, 422, 325, 453)(295, 423, 324, 452)(297, 425, 328, 456)(298, 426, 321, 449)(301, 429, 332, 460)(302, 430, 331, 459)(304, 432, 338, 466)(305, 433, 336, 464)(306, 434, 341, 469)(309, 437, 344, 472)(311, 439, 346, 474)(312, 440, 343, 471)(313, 441, 349, 477)(315, 443, 354, 482)(317, 445, 356, 484)(318, 446, 353, 481)(320, 448, 359, 487)(323, 451, 362, 490)(326, 454, 365, 493)(327, 455, 364, 492)(329, 457, 366, 494)(330, 458, 361, 489)(333, 461, 368, 496)(334, 462, 367, 495)(335, 463, 369, 497)(337, 465, 374, 502)(339, 467, 376, 504)(340, 468, 373, 501)(342, 470, 379, 507)(345, 473, 382, 510)(347, 475, 384, 512)(348, 476, 381, 509)(350, 478, 383, 511)(351, 479, 378, 506)(352, 480, 380, 508)(355, 483, 377, 505)(357, 485, 370, 498)(358, 486, 372, 500)(360, 488, 371, 499)(363, 491, 375, 503)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 286)(12, 289)(13, 291)(14, 259)(15, 261)(16, 295)(17, 293)(18, 297)(19, 262)(20, 299)(21, 301)(22, 263)(23, 304)(24, 307)(25, 309)(26, 264)(27, 311)(28, 266)(29, 314)(30, 317)(31, 267)(32, 269)(33, 321)(34, 319)(35, 323)(36, 270)(37, 325)(38, 271)(39, 327)(40, 273)(41, 329)(42, 275)(43, 331)(44, 276)(45, 333)(46, 278)(47, 336)(48, 339)(49, 279)(50, 281)(51, 343)(52, 341)(53, 345)(54, 282)(55, 347)(56, 284)(57, 350)(58, 353)(59, 355)(60, 285)(61, 357)(62, 287)(63, 359)(64, 288)(65, 361)(66, 290)(67, 363)(68, 292)(69, 365)(70, 294)(71, 334)(72, 296)(73, 348)(74, 298)(75, 367)(76, 300)(77, 330)(78, 302)(79, 370)(80, 373)(81, 375)(82, 303)(83, 377)(84, 305)(85, 379)(86, 306)(87, 381)(88, 308)(89, 383)(90, 310)(91, 326)(92, 312)(93, 378)(94, 382)(95, 313)(96, 315)(97, 372)(98, 380)(99, 376)(100, 316)(101, 369)(102, 318)(103, 371)(104, 320)(105, 368)(106, 322)(107, 374)(108, 324)(109, 384)(110, 328)(111, 364)(112, 332)(113, 360)(114, 356)(115, 335)(116, 337)(117, 351)(118, 358)(119, 362)(120, 338)(121, 354)(122, 340)(123, 352)(124, 342)(125, 366)(126, 344)(127, 349)(128, 346)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1943
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1945 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 982>$ (small group id <128, 982>)
Aut   = $<256, 26818>$ (small group id <256, 26818>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^4, Y1^4, (Y3^-1 * Y1^-1)^2, (Y3 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2 * Y1^-2 * Y2 * Y1, Y1^-1 * Y3^-8 * Y1^-1, R * Y2 * Y1 * Y2 * R * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 20, 148, 13, 141)(4, 132, 15, 143, 21, 149, 10, 138)(6, 134, 18, 146, 22, 150, 9, 137)(8, 136, 23, 151, 17, 145, 25, 153)(12, 140, 32, 160, 43, 171, 31, 159)(14, 142, 35, 163, 44, 172, 30, 158)(16, 144, 28, 156, 45, 173, 38, 166)(19, 147, 27, 155, 46, 174, 41, 169)(24, 152, 50, 178, 37, 165, 49, 177)(26, 154, 53, 181, 40, 168, 48, 176)(29, 157, 57, 185, 34, 162, 59, 187)(33, 161, 62, 190, 75, 203, 64, 192)(36, 164, 61, 189, 76, 204, 67, 195)(39, 167, 70, 198, 77, 205, 56, 184)(42, 170, 73, 201, 78, 206, 55, 183)(47, 175, 79, 207, 52, 180, 81, 209)(51, 179, 84, 212, 69, 197, 86, 214)(54, 182, 83, 211, 72, 200, 89, 217)(58, 186, 96, 224, 63, 191, 95, 223)(60, 188, 99, 227, 66, 194, 94, 222)(65, 193, 104, 232, 111, 239, 102, 230)(68, 196, 107, 235, 112, 240, 101, 229)(71, 199, 92, 220, 74, 202, 91, 219)(80, 208, 116, 244, 85, 213, 115, 243)(82, 210, 119, 247, 88, 216, 114, 242)(87, 215, 124, 252, 109, 237, 122, 250)(90, 218, 127, 255, 110, 238, 121, 249)(93, 221, 125, 253, 98, 226, 128, 256)(97, 225, 123, 251, 103, 231, 117, 245)(100, 228, 120, 248, 106, 234, 126, 254)(105, 233, 113, 241, 108, 236, 118, 246)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 273, 401)(262, 390, 268, 396)(263, 391, 276, 404)(265, 393, 282, 410)(266, 394, 280, 408)(267, 395, 285, 413)(269, 397, 290, 418)(271, 399, 293, 421)(272, 400, 292, 420)(274, 402, 296, 424)(275, 403, 289, 417)(277, 405, 300, 428)(278, 406, 299, 427)(279, 407, 303, 431)(281, 409, 308, 436)(283, 411, 310, 438)(284, 412, 307, 435)(286, 414, 316, 444)(287, 415, 314, 442)(288, 416, 319, 447)(291, 419, 322, 450)(294, 422, 325, 453)(295, 423, 324, 452)(297, 425, 328, 456)(298, 426, 321, 449)(301, 429, 332, 460)(302, 430, 331, 459)(304, 432, 338, 466)(305, 433, 336, 464)(306, 434, 341, 469)(309, 437, 344, 472)(311, 439, 346, 474)(312, 440, 343, 471)(313, 441, 349, 477)(315, 443, 354, 482)(317, 445, 356, 484)(318, 446, 353, 481)(320, 448, 359, 487)(323, 451, 362, 490)(326, 454, 365, 493)(327, 455, 364, 492)(329, 457, 366, 494)(330, 458, 361, 489)(333, 461, 368, 496)(334, 462, 367, 495)(335, 463, 369, 497)(337, 465, 374, 502)(339, 467, 376, 504)(340, 468, 373, 501)(342, 470, 379, 507)(345, 473, 382, 510)(347, 475, 384, 512)(348, 476, 381, 509)(350, 478, 377, 505)(351, 479, 380, 508)(352, 480, 378, 506)(355, 483, 383, 511)(357, 485, 375, 503)(358, 486, 371, 499)(360, 488, 372, 500)(363, 491, 370, 498)
	L = (1, 260)(2, 265)(3, 268)(4, 272)(5, 274)(6, 257)(7, 277)(8, 280)(9, 283)(10, 258)(11, 286)(12, 289)(13, 291)(14, 259)(15, 261)(16, 295)(17, 293)(18, 297)(19, 262)(20, 299)(21, 301)(22, 263)(23, 304)(24, 307)(25, 309)(26, 264)(27, 311)(28, 266)(29, 314)(30, 317)(31, 267)(32, 269)(33, 321)(34, 319)(35, 323)(36, 270)(37, 325)(38, 271)(39, 327)(40, 273)(41, 329)(42, 275)(43, 331)(44, 276)(45, 333)(46, 278)(47, 336)(48, 339)(49, 279)(50, 281)(51, 343)(52, 341)(53, 345)(54, 282)(55, 347)(56, 284)(57, 350)(58, 353)(59, 355)(60, 285)(61, 357)(62, 287)(63, 359)(64, 288)(65, 361)(66, 290)(67, 363)(68, 292)(69, 365)(70, 294)(71, 334)(72, 296)(73, 348)(74, 298)(75, 367)(76, 300)(77, 330)(78, 302)(79, 370)(80, 373)(81, 375)(82, 303)(83, 377)(84, 305)(85, 379)(86, 306)(87, 381)(88, 308)(89, 383)(90, 310)(91, 326)(92, 312)(93, 380)(94, 376)(95, 313)(96, 315)(97, 371)(98, 378)(99, 382)(100, 316)(101, 374)(102, 318)(103, 372)(104, 320)(105, 368)(106, 322)(107, 369)(108, 324)(109, 384)(110, 328)(111, 364)(112, 332)(113, 358)(114, 362)(115, 335)(116, 337)(117, 352)(118, 360)(119, 356)(120, 338)(121, 349)(122, 340)(123, 351)(124, 342)(125, 366)(126, 344)(127, 354)(128, 346)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1942
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1946 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6657>$ (small group id <256, 6657>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y1 * Y3 * Y2)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 156, 28, 143)(16, 152, 24, 144)(18, 163, 35, 146)(19, 155, 27, 147)(20, 151, 23, 148)(22, 169, 41, 150)(26, 175, 47, 154)(30, 181, 53, 158)(31, 179, 51, 159)(32, 173, 45, 160)(33, 172, 44, 161)(34, 178, 50, 162)(36, 182, 54, 164)(37, 180, 52, 165)(38, 174, 46, 166)(39, 171, 43, 167)(40, 177, 49, 168)(42, 176, 48, 170)(55, 203, 75, 183)(56, 199, 71, 184)(57, 196, 68, 185)(58, 202, 74, 186)(59, 201, 73, 187)(60, 195, 67, 188)(61, 205, 77, 189)(62, 198, 70, 190)(63, 197, 69, 191)(64, 194, 66, 192)(65, 209, 81, 193)(72, 213, 85, 200)(76, 217, 89, 204)(78, 219, 91, 206)(79, 218, 90, 207)(80, 222, 94, 208)(82, 215, 87, 210)(83, 214, 86, 211)(84, 226, 98, 212)(88, 230, 102, 216)(92, 234, 106, 220)(93, 233, 105, 221)(95, 235, 107, 223)(96, 239, 111, 224)(97, 229, 101, 225)(99, 231, 103, 227)(100, 243, 115, 228)(104, 247, 119, 232)(108, 251, 123, 236)(109, 250, 122, 237)(110, 249, 121, 238)(112, 252, 124, 240)(113, 246, 118, 241)(114, 245, 117, 242)(116, 248, 120, 244)(125, 256, 128, 253)(126, 255, 127, 254)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 32)(17, 33)(20, 38)(21, 39)(22, 42)(24, 44)(25, 45)(28, 50)(29, 51)(30, 54)(31, 55)(34, 58)(35, 59)(36, 61)(37, 60)(40, 57)(41, 56)(43, 66)(46, 69)(47, 70)(48, 72)(49, 71)(52, 68)(53, 67)(62, 81)(63, 82)(64, 83)(65, 84)(73, 89)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(85, 101)(86, 102)(87, 103)(88, 104)(97, 113)(98, 114)(99, 115)(100, 116)(105, 121)(106, 122)(107, 123)(108, 124)(109, 125)(110, 120)(111, 126)(112, 118)(117, 127)(119, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 159)(145, 162)(146, 164)(147, 165)(149, 168)(151, 171)(153, 174)(154, 176)(155, 177)(157, 180)(160, 184)(161, 185)(163, 188)(166, 190)(167, 191)(169, 192)(170, 193)(172, 195)(173, 196)(175, 199)(178, 201)(179, 202)(181, 203)(182, 204)(183, 205)(186, 206)(187, 207)(189, 208)(194, 213)(197, 214)(198, 215)(200, 216)(209, 225)(210, 226)(211, 227)(212, 228)(217, 233)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(229, 245)(230, 246)(231, 247)(232, 248)(241, 253)(242, 252)(243, 254)(244, 250)(249, 255)(251, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1948
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1947 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6655>$ (small group id <256, 6655>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1 * Y3 * Y1)^2, (Y2 * Y1 * Y2 * Y3 * Y1)^2, Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y1 * Y3 * Y1, (Y2 * Y3 * Y2 * Y3 * Y1)^2, (Y2 * Y1 * Y3)^4, Y3 * Y2 * Y3 * Y2 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1 * Y2 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 129)(3, 135, 7, 131)(4, 137, 9, 132)(5, 139, 11, 133)(6, 141, 13, 134)(8, 145, 17, 136)(10, 149, 21, 138)(12, 153, 25, 140)(14, 157, 29, 142)(15, 159, 31, 143)(16, 155, 27, 144)(18, 164, 36, 146)(19, 152, 24, 147)(20, 167, 39, 148)(22, 171, 43, 150)(23, 173, 45, 151)(26, 178, 50, 154)(28, 181, 53, 156)(30, 185, 57, 158)(32, 183, 55, 160)(33, 176, 48, 161)(34, 175, 47, 162)(35, 182, 54, 163)(37, 186, 58, 165)(38, 184, 56, 166)(40, 177, 49, 168)(41, 174, 46, 169)(42, 180, 52, 170)(44, 179, 51, 172)(59, 201, 73, 187)(60, 197, 69, 188)(61, 202, 74, 189)(62, 203, 75, 190)(63, 205, 77, 191)(64, 196, 68, 192)(65, 198, 70, 193)(66, 199, 71, 194)(67, 209, 81, 195)(72, 213, 85, 200)(76, 217, 89, 204)(78, 219, 91, 206)(79, 218, 90, 207)(80, 222, 94, 208)(82, 215, 87, 210)(83, 214, 86, 211)(84, 226, 98, 212)(88, 230, 102, 216)(92, 234, 106, 220)(93, 235, 107, 221)(95, 233, 105, 223)(96, 239, 111, 224)(97, 231, 103, 225)(99, 229, 101, 227)(100, 243, 115, 228)(104, 247, 119, 232)(108, 251, 123, 236)(109, 250, 122, 237)(110, 249, 121, 238)(112, 252, 124, 240)(113, 246, 118, 241)(114, 245, 117, 242)(116, 248, 120, 244)(125, 255, 127, 253)(126, 256, 128, 254)
	L = (1, 3)(2, 5)(4, 10)(6, 14)(7, 15)(8, 18)(9, 19)(11, 23)(12, 26)(13, 27)(16, 33)(17, 34)(20, 40)(21, 41)(22, 44)(24, 47)(25, 48)(28, 54)(29, 55)(30, 58)(31, 57)(32, 59)(35, 61)(36, 62)(37, 63)(38, 53)(39, 52)(42, 60)(43, 45)(46, 68)(49, 70)(50, 71)(51, 72)(56, 69)(64, 81)(65, 82)(66, 83)(67, 84)(73, 89)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(85, 101)(86, 102)(87, 103)(88, 104)(97, 113)(98, 114)(99, 115)(100, 116)(105, 121)(106, 122)(107, 123)(108, 124)(109, 125)(110, 120)(111, 126)(112, 118)(117, 127)(119, 128)(129, 132)(130, 134)(131, 136)(133, 140)(135, 144)(137, 148)(138, 150)(139, 152)(141, 156)(142, 158)(143, 160)(145, 163)(146, 165)(147, 166)(149, 170)(151, 174)(153, 177)(154, 179)(155, 180)(157, 184)(159, 175)(161, 173)(162, 188)(164, 181)(167, 178)(168, 192)(169, 193)(171, 194)(172, 195)(176, 197)(182, 201)(183, 202)(185, 203)(186, 204)(187, 205)(189, 206)(190, 207)(191, 208)(196, 213)(198, 214)(199, 215)(200, 216)(209, 225)(210, 226)(211, 227)(212, 228)(217, 233)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(229, 245)(230, 246)(231, 247)(232, 248)(241, 253)(242, 252)(243, 254)(244, 250)(249, 255)(251, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1949
Transitivity :: VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1948 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6657>$ (small group id <256, 6657>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, R * Y3 * R * Y2, (R * Y1)^2, (Y2 * Y1^-2)^2, (Y1^-1 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y2 * Y1)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y3, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 170, 42, 157, 29, 172, 44, 153)(26, 166, 38, 158, 30, 169, 41, 154)(28, 175, 47, 181, 53, 173, 45, 156)(31, 165, 37, 162, 34, 168, 40, 159)(33, 179, 51, 182, 54, 177, 49, 161)(39, 184, 56, 178, 50, 183, 55, 167)(43, 187, 59, 174, 46, 186, 58, 171)(48, 188, 60, 197, 69, 190, 62, 176)(52, 185, 57, 198, 70, 194, 66, 180)(61, 203, 75, 191, 63, 202, 74, 189)(64, 205, 77, 213, 85, 207, 79, 192)(65, 200, 72, 195, 67, 199, 71, 193)(68, 209, 81, 214, 86, 211, 83, 196)(73, 215, 87, 210, 82, 216, 88, 201)(76, 218, 90, 206, 78, 219, 91, 204)(80, 222, 94, 229, 101, 220, 92, 208)(84, 226, 98, 230, 102, 217, 89, 212)(93, 234, 106, 223, 95, 235, 107, 221)(96, 239, 111, 245, 117, 237, 109, 224)(97, 231, 103, 227, 99, 232, 104, 225)(100, 243, 115, 246, 118, 241, 113, 228)(105, 248, 120, 242, 114, 247, 119, 233)(108, 251, 123, 238, 110, 250, 122, 236)(112, 252, 124, 244, 116, 249, 121, 240)(125, 256, 128, 254, 126, 255, 127, 253)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 60)(44, 59)(45, 61)(46, 62)(47, 63)(48, 64)(54, 70)(55, 71)(56, 72)(57, 73)(65, 81)(66, 82)(67, 83)(68, 84)(69, 85)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(86, 102)(87, 103)(88, 104)(89, 105)(97, 113)(98, 114)(99, 115)(100, 116)(101, 117)(106, 122)(107, 123)(108, 124)(109, 125)(110, 121)(111, 126)(112, 118)(119, 127)(120, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 173)(155, 174)(156, 176)(157, 175)(164, 182)(165, 183)(167, 185)(168, 184)(177, 193)(178, 194)(179, 195)(180, 196)(181, 197)(186, 202)(187, 203)(188, 204)(189, 205)(190, 206)(191, 207)(192, 208)(198, 214)(199, 215)(200, 216)(201, 217)(209, 225)(210, 226)(211, 227)(212, 228)(213, 229)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(230, 246)(231, 247)(232, 248)(233, 249)(241, 253)(242, 252)(243, 254)(244, 245)(250, 255)(251, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1946
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1949 :: Family: { 2P } :: Oriented family(ies): { E2 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: halfedge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6655>$ (small group id <256, 6655>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y1)^2, R * Y3 * R * Y2, (Y2 * Y1^-2)^2, Y1^-2 * Y3 * Y1^2 * Y3, (Y1^-1 * Y3 * Y2)^2, (Y3 * Y2 * Y1)^2, Y2 * Y1 * Y3 * Y1 * Y3 * Y1 * Y2 * Y1^-1, Y1^-1 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 130, 2, 134, 6, 133, 5, 129)(3, 137, 9, 145, 17, 139, 11, 131)(4, 140, 12, 146, 18, 142, 14, 132)(7, 147, 19, 143, 15, 149, 21, 135)(8, 150, 22, 144, 16, 152, 24, 136)(10, 155, 27, 163, 35, 151, 23, 138)(13, 160, 32, 164, 36, 148, 20, 141)(25, 172, 44, 157, 29, 170, 42, 153)(26, 169, 41, 158, 30, 166, 38, 154)(28, 175, 47, 181, 53, 173, 45, 156)(31, 168, 40, 162, 34, 165, 37, 159)(33, 179, 51, 182, 54, 177, 49, 161)(39, 184, 56, 178, 50, 183, 55, 167)(43, 187, 59, 174, 46, 186, 58, 171)(48, 188, 60, 197, 69, 190, 62, 176)(52, 185, 57, 198, 70, 194, 66, 180)(61, 202, 74, 191, 63, 203, 75, 189)(64, 205, 77, 213, 85, 207, 79, 192)(65, 199, 71, 195, 67, 200, 72, 193)(68, 209, 81, 214, 86, 211, 83, 196)(73, 215, 87, 210, 82, 216, 88, 201)(76, 218, 90, 206, 78, 219, 91, 204)(80, 222, 94, 229, 101, 220, 92, 208)(84, 226, 98, 230, 102, 217, 89, 212)(93, 235, 107, 223, 95, 234, 106, 221)(96, 239, 111, 245, 117, 237, 109, 224)(97, 232, 104, 227, 99, 231, 103, 225)(100, 243, 115, 246, 118, 241, 113, 228)(105, 248, 120, 242, 114, 247, 119, 233)(108, 251, 123, 238, 110, 250, 122, 236)(112, 252, 124, 244, 116, 249, 121, 240)(125, 255, 127, 254, 126, 256, 128, 253)
	L = (1, 3)(2, 7)(4, 13)(5, 15)(6, 17)(8, 23)(9, 25)(10, 28)(11, 29)(12, 30)(14, 26)(16, 27)(18, 36)(19, 37)(20, 39)(21, 40)(22, 41)(24, 38)(31, 49)(32, 50)(33, 52)(34, 51)(35, 53)(42, 58)(43, 60)(44, 59)(45, 61)(46, 62)(47, 63)(48, 64)(54, 70)(55, 71)(56, 72)(57, 73)(65, 81)(66, 82)(67, 83)(68, 84)(69, 85)(74, 90)(75, 91)(76, 92)(77, 93)(78, 94)(79, 95)(80, 96)(86, 102)(87, 103)(88, 104)(89, 105)(97, 113)(98, 114)(99, 115)(100, 116)(101, 117)(106, 122)(107, 123)(108, 124)(109, 125)(110, 121)(111, 126)(112, 118)(119, 127)(120, 128)(129, 132)(130, 136)(131, 138)(133, 144)(134, 146)(135, 148)(137, 154)(139, 158)(140, 159)(141, 161)(142, 162)(143, 160)(145, 163)(147, 166)(149, 169)(150, 170)(151, 171)(152, 172)(153, 173)(155, 174)(156, 176)(157, 175)(164, 182)(165, 183)(167, 185)(168, 184)(177, 193)(178, 194)(179, 195)(180, 196)(181, 197)(186, 202)(187, 203)(188, 204)(189, 205)(190, 206)(191, 207)(192, 208)(198, 214)(199, 215)(200, 216)(201, 217)(209, 225)(210, 226)(211, 227)(212, 228)(213, 229)(218, 234)(219, 235)(220, 236)(221, 237)(222, 238)(223, 239)(224, 240)(230, 246)(231, 247)(232, 248)(233, 249)(241, 253)(242, 252)(243, 254)(244, 245)(250, 255)(251, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1947
Transitivity :: VT+ AT
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1950 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6657>$ (small group id <256, 6657>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 42, 170)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 50, 178)(27, 155, 52, 180)(29, 157, 54, 182)(31, 159, 56, 184)(33, 161, 59, 187)(34, 162, 60, 188)(35, 163, 61, 189)(37, 165, 63, 191)(39, 167, 64, 192)(41, 169, 65, 193)(43, 171, 67, 195)(45, 173, 70, 198)(46, 174, 71, 199)(47, 175, 72, 200)(49, 177, 74, 202)(51, 179, 75, 203)(53, 181, 76, 204)(55, 183, 78, 206)(57, 185, 81, 209)(58, 186, 83, 211)(62, 190, 84, 212)(66, 194, 86, 214)(68, 196, 89, 217)(69, 197, 91, 219)(73, 201, 92, 220)(77, 205, 94, 222)(79, 207, 97, 225)(80, 208, 99, 227)(82, 210, 100, 228)(85, 213, 102, 230)(87, 215, 105, 233)(88, 216, 107, 235)(90, 218, 108, 236)(93, 221, 110, 238)(95, 223, 113, 241)(96, 224, 115, 243)(98, 226, 116, 244)(101, 229, 118, 246)(103, 231, 121, 249)(104, 232, 123, 251)(106, 234, 124, 252)(109, 237, 120, 248)(111, 239, 125, 253)(112, 240, 117, 245)(114, 242, 126, 254)(119, 247, 127, 255)(122, 250, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 294)(278, 292)(279, 299)(280, 301)(282, 305)(283, 307)(284, 306)(286, 304)(288, 309)(290, 303)(291, 302)(296, 310)(297, 300)(298, 308)(311, 333)(312, 335)(313, 336)(314, 338)(315, 337)(316, 332)(317, 328)(318, 334)(319, 339)(320, 340)(321, 327)(322, 341)(323, 343)(324, 344)(325, 346)(326, 345)(329, 342)(330, 347)(331, 348)(349, 365)(350, 367)(351, 368)(352, 370)(353, 369)(354, 366)(355, 371)(356, 372)(357, 373)(358, 375)(359, 376)(360, 378)(361, 377)(362, 374)(363, 379)(364, 380)(381, 383)(382, 384)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 414)(405, 425)(406, 412)(408, 430)(409, 431)(413, 437)(415, 439)(416, 441)(417, 442)(420, 444)(421, 446)(422, 443)(423, 440)(424, 447)(426, 445)(427, 450)(428, 452)(429, 453)(432, 455)(433, 457)(434, 454)(435, 451)(436, 458)(438, 456)(448, 460)(449, 459)(461, 477)(462, 479)(463, 480)(464, 482)(465, 481)(466, 478)(467, 483)(468, 484)(469, 485)(470, 487)(471, 488)(472, 490)(473, 489)(474, 486)(475, 491)(476, 492)(493, 507)(494, 503)(495, 502)(496, 506)(497, 509)(498, 504)(499, 501)(500, 510)(505, 511)(508, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1956
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1951 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6655>$ (small group id <256, 6655>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3 * Y2 * Y3)^2, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y1 * Y2 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y2)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132)(2, 130, 6, 134)(3, 131, 8, 136)(5, 133, 12, 140)(7, 135, 16, 144)(9, 137, 20, 148)(10, 138, 22, 150)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 30, 158)(15, 143, 32, 160)(17, 145, 36, 164)(18, 146, 38, 166)(19, 147, 40, 168)(21, 149, 43, 171)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 52, 180)(27, 155, 54, 182)(29, 157, 57, 185)(31, 159, 60, 188)(33, 161, 63, 191)(34, 162, 58, 186)(35, 163, 64, 192)(37, 165, 66, 194)(39, 167, 67, 195)(41, 169, 56, 184)(42, 170, 55, 183)(44, 172, 48, 176)(45, 173, 69, 197)(47, 175, 72, 200)(49, 177, 73, 201)(51, 179, 75, 203)(53, 181, 76, 204)(59, 187, 78, 206)(61, 189, 81, 209)(62, 190, 83, 211)(65, 193, 84, 212)(68, 196, 86, 214)(70, 198, 89, 217)(71, 199, 91, 219)(74, 202, 92, 220)(77, 205, 94, 222)(79, 207, 97, 225)(80, 208, 99, 227)(82, 210, 100, 228)(85, 213, 102, 230)(87, 215, 105, 233)(88, 216, 107, 235)(90, 218, 108, 236)(93, 221, 110, 238)(95, 223, 113, 241)(96, 224, 115, 243)(98, 226, 116, 244)(101, 229, 118, 246)(103, 231, 121, 249)(104, 232, 123, 251)(106, 234, 124, 252)(109, 237, 120, 248)(111, 239, 125, 253)(112, 240, 117, 245)(114, 242, 126, 254)(119, 247, 127, 255)(122, 250, 128, 256)(257, 258)(259, 263)(260, 265)(261, 267)(262, 269)(264, 273)(266, 277)(268, 281)(270, 285)(271, 287)(272, 289)(274, 293)(275, 295)(276, 297)(278, 286)(279, 301)(280, 303)(282, 307)(283, 309)(284, 311)(288, 312)(290, 305)(291, 304)(292, 306)(294, 314)(296, 313)(298, 302)(299, 310)(300, 308)(315, 333)(316, 335)(317, 336)(318, 338)(319, 340)(320, 329)(321, 334)(322, 339)(323, 337)(324, 341)(325, 343)(326, 344)(327, 346)(328, 348)(330, 342)(331, 347)(332, 345)(349, 365)(350, 367)(351, 368)(352, 370)(353, 372)(354, 366)(355, 371)(356, 369)(357, 373)(358, 375)(359, 376)(360, 378)(361, 380)(362, 374)(363, 379)(364, 377)(381, 384)(382, 383)(385, 387)(386, 389)(388, 394)(390, 398)(391, 399)(392, 402)(393, 403)(395, 407)(396, 410)(397, 411)(400, 418)(401, 419)(404, 420)(405, 426)(406, 428)(408, 432)(409, 433)(412, 434)(413, 440)(414, 442)(415, 443)(416, 445)(417, 446)(421, 449)(422, 451)(423, 444)(424, 450)(425, 447)(427, 448)(429, 452)(430, 454)(431, 455)(435, 458)(436, 460)(437, 453)(438, 459)(439, 456)(441, 457)(461, 477)(462, 479)(463, 480)(464, 482)(465, 484)(466, 478)(467, 483)(468, 481)(469, 485)(470, 487)(471, 488)(472, 490)(473, 492)(474, 486)(475, 491)(476, 489)(493, 507)(494, 503)(495, 502)(496, 506)(497, 510)(498, 504)(499, 501)(500, 509)(505, 512)(508, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1957
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1952 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6657>$ (small group id <256, 6657>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 49, 177, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 57, 185, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 46, 174, 65, 193, 47, 175)(28, 156, 51, 179, 30, 158, 52, 180)(35, 163, 54, 182, 73, 201, 55, 183)(38, 166, 59, 187, 40, 168, 60, 188)(45, 173, 62, 190, 81, 209, 63, 191)(48, 176, 67, 195, 50, 178, 68, 196)(53, 181, 70, 198, 89, 217, 71, 199)(56, 184, 75, 203, 58, 186, 76, 204)(61, 189, 78, 206, 97, 225, 79, 207)(64, 192, 83, 211, 66, 194, 84, 212)(69, 197, 86, 214, 105, 233, 87, 215)(72, 200, 91, 219, 74, 202, 92, 220)(77, 205, 94, 222, 113, 241, 95, 223)(80, 208, 99, 227, 82, 210, 100, 228)(85, 213, 102, 230, 121, 249, 103, 231)(88, 216, 107, 235, 90, 218, 108, 236)(93, 221, 110, 238, 117, 245, 111, 239)(96, 224, 115, 243, 98, 226, 116, 244)(101, 229, 118, 246, 109, 237, 119, 247)(104, 232, 123, 251, 106, 234, 124, 252)(112, 240, 125, 253, 114, 242, 126, 254)(120, 248, 127, 255, 122, 250, 128, 256)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 301)(282, 304)(283, 306)(284, 303)(285, 305)(286, 302)(287, 307)(288, 308)(289, 300)(290, 299)(291, 309)(292, 312)(293, 314)(294, 311)(295, 313)(296, 310)(297, 315)(298, 316)(317, 333)(318, 336)(319, 338)(320, 335)(321, 337)(322, 334)(323, 339)(324, 340)(325, 341)(326, 344)(327, 346)(328, 343)(329, 345)(330, 342)(331, 347)(332, 348)(349, 365)(350, 368)(351, 370)(352, 367)(353, 369)(354, 366)(355, 371)(356, 372)(357, 373)(358, 376)(359, 378)(360, 375)(361, 377)(362, 374)(363, 379)(364, 380)(381, 383)(382, 384)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 427)(416, 428)(417, 425)(418, 426)(429, 445)(430, 448)(431, 450)(432, 447)(433, 449)(434, 446)(435, 451)(436, 452)(437, 453)(438, 456)(439, 458)(440, 455)(441, 457)(442, 454)(443, 459)(444, 460)(461, 477)(462, 480)(463, 482)(464, 479)(465, 481)(466, 478)(467, 483)(468, 484)(469, 485)(470, 488)(471, 490)(472, 487)(473, 489)(474, 486)(475, 491)(476, 492)(493, 505)(494, 504)(495, 506)(496, 502)(497, 501)(498, 503)(499, 509)(500, 510)(507, 511)(508, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1954
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1953 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {2, 2, 2, 4})
Quotient :: edge^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6655>$ (small group id <256, 6655>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal
	R = (1, 129, 4, 132, 14, 142, 5, 133)(2, 130, 7, 135, 22, 150, 8, 136)(3, 131, 10, 138, 29, 157, 11, 139)(6, 134, 18, 146, 39, 167, 19, 147)(9, 137, 26, 154, 49, 177, 27, 155)(12, 140, 31, 159, 15, 143, 32, 160)(13, 141, 33, 161, 16, 144, 34, 162)(17, 145, 36, 164, 57, 185, 37, 165)(20, 148, 41, 169, 23, 151, 42, 170)(21, 149, 43, 171, 24, 152, 44, 172)(25, 153, 46, 174, 65, 193, 47, 175)(28, 156, 51, 179, 30, 158, 52, 180)(35, 163, 54, 182, 73, 201, 55, 183)(38, 166, 59, 187, 40, 168, 60, 188)(45, 173, 62, 190, 81, 209, 63, 191)(48, 176, 67, 195, 50, 178, 68, 196)(53, 181, 70, 198, 89, 217, 71, 199)(56, 184, 75, 203, 58, 186, 76, 204)(61, 189, 78, 206, 97, 225, 79, 207)(64, 192, 83, 211, 66, 194, 84, 212)(69, 197, 86, 214, 105, 233, 87, 215)(72, 200, 91, 219, 74, 202, 92, 220)(77, 205, 94, 222, 113, 241, 95, 223)(80, 208, 99, 227, 82, 210, 100, 228)(85, 213, 102, 230, 121, 249, 103, 231)(88, 216, 107, 235, 90, 218, 108, 236)(93, 221, 110, 238, 117, 245, 111, 239)(96, 224, 115, 243, 98, 226, 116, 244)(101, 229, 118, 246, 109, 237, 119, 247)(104, 232, 123, 251, 106, 234, 124, 252)(112, 240, 125, 253, 114, 242, 126, 254)(120, 248, 127, 255, 122, 250, 128, 256)(257, 258)(259, 265)(260, 268)(261, 271)(262, 273)(263, 276)(264, 279)(266, 280)(267, 277)(269, 275)(270, 278)(272, 274)(281, 301)(282, 304)(283, 306)(284, 303)(285, 305)(286, 302)(287, 308)(288, 307)(289, 299)(290, 300)(291, 309)(292, 312)(293, 314)(294, 311)(295, 313)(296, 310)(297, 316)(298, 315)(317, 333)(318, 336)(319, 338)(320, 335)(321, 337)(322, 334)(323, 340)(324, 339)(325, 341)(326, 344)(327, 346)(328, 343)(329, 345)(330, 342)(331, 348)(332, 347)(349, 365)(350, 368)(351, 370)(352, 367)(353, 369)(354, 366)(355, 372)(356, 371)(357, 373)(358, 376)(359, 378)(360, 375)(361, 377)(362, 374)(363, 380)(364, 379)(381, 384)(382, 383)(385, 387)(386, 390)(388, 397)(389, 400)(391, 405)(392, 408)(393, 409)(394, 412)(395, 414)(396, 411)(398, 413)(399, 410)(401, 419)(402, 422)(403, 424)(404, 421)(406, 423)(407, 420)(415, 428)(416, 427)(417, 426)(418, 425)(429, 445)(430, 448)(431, 450)(432, 447)(433, 449)(434, 446)(435, 452)(436, 451)(437, 453)(438, 456)(439, 458)(440, 455)(441, 457)(442, 454)(443, 460)(444, 459)(461, 477)(462, 480)(463, 482)(464, 479)(465, 481)(466, 478)(467, 484)(468, 483)(469, 485)(470, 488)(471, 490)(472, 487)(473, 489)(474, 486)(475, 492)(476, 491)(493, 505)(494, 504)(495, 506)(496, 502)(497, 501)(498, 503)(499, 510)(500, 509)(507, 512)(508, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1955
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1954 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6657>$ (small group id <256, 6657>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3 * Y1 * Y3 * Y1 * Y3 * Y2 * Y3 * Y2, (Y3 * Y2 * Y1 * Y2 * Y1)^2, Y1 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y2 * Y1 * Y3 * Y2, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 42, 170, 298, 426)(23, 151, 279, 407, 44, 172, 300, 428)(25, 153, 281, 409, 48, 176, 304, 432)(26, 154, 282, 410, 50, 178, 306, 434)(27, 155, 283, 411, 52, 180, 308, 436)(29, 157, 285, 413, 54, 182, 310, 438)(31, 159, 287, 415, 56, 184, 312, 440)(33, 161, 289, 417, 59, 187, 315, 443)(34, 162, 290, 418, 60, 188, 316, 444)(35, 163, 291, 419, 61, 189, 317, 445)(37, 165, 293, 421, 63, 191, 319, 447)(39, 167, 295, 423, 64, 192, 320, 448)(41, 169, 297, 425, 65, 193, 321, 449)(43, 171, 299, 427, 67, 195, 323, 451)(45, 173, 301, 429, 70, 198, 326, 454)(46, 174, 302, 430, 71, 199, 327, 455)(47, 175, 303, 431, 72, 200, 328, 456)(49, 177, 305, 433, 74, 202, 330, 458)(51, 179, 307, 435, 75, 203, 331, 459)(53, 181, 309, 437, 76, 204, 332, 460)(55, 183, 311, 439, 78, 206, 334, 462)(57, 185, 313, 441, 81, 209, 337, 465)(58, 186, 314, 442, 83, 211, 339, 467)(62, 190, 318, 446, 84, 212, 340, 468)(66, 194, 322, 450, 86, 214, 342, 470)(68, 196, 324, 452, 89, 217, 345, 473)(69, 197, 325, 453, 91, 219, 347, 475)(73, 201, 329, 457, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478)(79, 207, 335, 463, 97, 225, 353, 481)(80, 208, 336, 464, 99, 227, 355, 483)(82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486)(87, 215, 343, 471, 105, 233, 361, 489)(88, 216, 344, 472, 107, 235, 363, 491)(90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 110, 238, 366, 494)(95, 223, 351, 479, 113, 241, 369, 497)(96, 224, 352, 480, 115, 243, 371, 499)(98, 226, 354, 482, 116, 244, 372, 500)(101, 229, 357, 485, 118, 246, 374, 502)(103, 231, 359, 487, 121, 249, 377, 505)(104, 232, 360, 488, 123, 251, 379, 507)(106, 234, 362, 490, 124, 252, 380, 508)(109, 237, 365, 493, 120, 248, 376, 504)(111, 239, 367, 495, 125, 253, 381, 509)(112, 240, 368, 496, 117, 245, 373, 501)(114, 242, 370, 498, 126, 254, 382, 510)(119, 247, 375, 503, 127, 255, 383, 511)(122, 250, 378, 506, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 166)(21, 138)(22, 164)(23, 171)(24, 173)(25, 140)(26, 177)(27, 179)(28, 178)(29, 142)(30, 176)(31, 143)(32, 181)(33, 144)(34, 175)(35, 174)(36, 150)(37, 146)(38, 148)(39, 147)(40, 182)(41, 172)(42, 180)(43, 151)(44, 169)(45, 152)(46, 163)(47, 162)(48, 158)(49, 154)(50, 156)(51, 155)(52, 170)(53, 160)(54, 168)(55, 205)(56, 207)(57, 208)(58, 210)(59, 209)(60, 204)(61, 200)(62, 206)(63, 211)(64, 212)(65, 199)(66, 213)(67, 215)(68, 216)(69, 218)(70, 217)(71, 193)(72, 189)(73, 214)(74, 219)(75, 220)(76, 188)(77, 183)(78, 190)(79, 184)(80, 185)(81, 187)(82, 186)(83, 191)(84, 192)(85, 194)(86, 201)(87, 195)(88, 196)(89, 198)(90, 197)(91, 202)(92, 203)(93, 237)(94, 239)(95, 240)(96, 242)(97, 241)(98, 238)(99, 243)(100, 244)(101, 245)(102, 247)(103, 248)(104, 250)(105, 249)(106, 246)(107, 251)(108, 252)(109, 221)(110, 226)(111, 222)(112, 223)(113, 225)(114, 224)(115, 227)(116, 228)(117, 229)(118, 234)(119, 230)(120, 231)(121, 233)(122, 232)(123, 235)(124, 236)(125, 255)(126, 256)(127, 253)(128, 254)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 414)(277, 425)(278, 412)(279, 395)(280, 430)(281, 431)(282, 396)(283, 397)(284, 406)(285, 437)(286, 404)(287, 439)(288, 441)(289, 442)(290, 400)(291, 401)(292, 444)(293, 446)(294, 443)(295, 440)(296, 447)(297, 405)(298, 445)(299, 450)(300, 452)(301, 453)(302, 408)(303, 409)(304, 455)(305, 457)(306, 454)(307, 451)(308, 458)(309, 413)(310, 456)(311, 415)(312, 423)(313, 416)(314, 417)(315, 422)(316, 420)(317, 426)(318, 421)(319, 424)(320, 460)(321, 459)(322, 427)(323, 435)(324, 428)(325, 429)(326, 434)(327, 432)(328, 438)(329, 433)(330, 436)(331, 449)(332, 448)(333, 477)(334, 479)(335, 480)(336, 482)(337, 481)(338, 478)(339, 483)(340, 484)(341, 485)(342, 487)(343, 488)(344, 490)(345, 489)(346, 486)(347, 491)(348, 492)(349, 461)(350, 466)(351, 462)(352, 463)(353, 465)(354, 464)(355, 467)(356, 468)(357, 469)(358, 474)(359, 470)(360, 471)(361, 473)(362, 472)(363, 475)(364, 476)(365, 507)(366, 503)(367, 502)(368, 506)(369, 509)(370, 504)(371, 501)(372, 510)(373, 499)(374, 495)(375, 494)(376, 498)(377, 511)(378, 496)(379, 493)(380, 512)(381, 497)(382, 500)(383, 505)(384, 508)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1952
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1955 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6655>$ (small group id <256, 6655>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, Y3^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, (Y1 * Y3 * Y2 * Y3)^2, (Y3 * Y1 * Y2 * Y3 * Y2)^2, (Y3 * Y2 * Y1 * Y3 * Y1)^2, (Y1 * Y2 * Y1 * Y3 * Y2)^2, (Y3 * Y1 * Y2)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388)(2, 130, 258, 386, 6, 134, 262, 390)(3, 131, 259, 387, 8, 136, 264, 392)(5, 133, 261, 389, 12, 140, 268, 396)(7, 135, 263, 391, 16, 144, 272, 400)(9, 137, 265, 393, 20, 148, 276, 404)(10, 138, 266, 394, 22, 150, 278, 406)(11, 139, 267, 395, 24, 152, 280, 408)(13, 141, 269, 397, 28, 156, 284, 412)(14, 142, 270, 398, 30, 158, 286, 414)(15, 143, 271, 399, 32, 160, 288, 416)(17, 145, 273, 401, 36, 164, 292, 420)(18, 146, 274, 402, 38, 166, 294, 422)(19, 147, 275, 403, 40, 168, 296, 424)(21, 149, 277, 405, 43, 171, 299, 427)(23, 151, 279, 407, 46, 174, 302, 430)(25, 153, 281, 409, 50, 178, 306, 434)(26, 154, 282, 410, 52, 180, 308, 436)(27, 155, 283, 411, 54, 182, 310, 438)(29, 157, 285, 413, 57, 185, 313, 441)(31, 159, 287, 415, 60, 188, 316, 444)(33, 161, 289, 417, 63, 191, 319, 447)(34, 162, 290, 418, 58, 186, 314, 442)(35, 163, 291, 419, 64, 192, 320, 448)(37, 165, 293, 421, 66, 194, 322, 450)(39, 167, 295, 423, 67, 195, 323, 451)(41, 169, 297, 425, 56, 184, 312, 440)(42, 170, 298, 426, 55, 183, 311, 439)(44, 172, 300, 428, 48, 176, 304, 432)(45, 173, 301, 429, 69, 197, 325, 453)(47, 175, 303, 431, 72, 200, 328, 456)(49, 177, 305, 433, 73, 201, 329, 457)(51, 179, 307, 435, 75, 203, 331, 459)(53, 181, 309, 437, 76, 204, 332, 460)(59, 187, 315, 443, 78, 206, 334, 462)(61, 189, 317, 445, 81, 209, 337, 465)(62, 190, 318, 446, 83, 211, 339, 467)(65, 193, 321, 449, 84, 212, 340, 468)(68, 196, 324, 452, 86, 214, 342, 470)(70, 198, 326, 454, 89, 217, 345, 473)(71, 199, 327, 455, 91, 219, 347, 475)(74, 202, 330, 458, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478)(79, 207, 335, 463, 97, 225, 353, 481)(80, 208, 336, 464, 99, 227, 355, 483)(82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486)(87, 215, 343, 471, 105, 233, 361, 489)(88, 216, 344, 472, 107, 235, 363, 491)(90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 110, 238, 366, 494)(95, 223, 351, 479, 113, 241, 369, 497)(96, 224, 352, 480, 115, 243, 371, 499)(98, 226, 354, 482, 116, 244, 372, 500)(101, 229, 357, 485, 118, 246, 374, 502)(103, 231, 359, 487, 121, 249, 377, 505)(104, 232, 360, 488, 123, 251, 379, 507)(106, 234, 362, 490, 124, 252, 380, 508)(109, 237, 365, 493, 120, 248, 376, 504)(111, 239, 367, 495, 125, 253, 381, 509)(112, 240, 368, 496, 117, 245, 373, 501)(114, 242, 370, 498, 126, 254, 382, 510)(119, 247, 375, 503, 127, 255, 383, 511)(122, 250, 378, 506, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 158)(23, 173)(24, 175)(25, 140)(26, 179)(27, 181)(28, 183)(29, 142)(30, 150)(31, 143)(32, 184)(33, 144)(34, 177)(35, 176)(36, 178)(37, 146)(38, 186)(39, 147)(40, 185)(41, 148)(42, 174)(43, 182)(44, 180)(45, 151)(46, 170)(47, 152)(48, 163)(49, 162)(50, 164)(51, 154)(52, 172)(53, 155)(54, 171)(55, 156)(56, 160)(57, 168)(58, 166)(59, 205)(60, 207)(61, 208)(62, 210)(63, 212)(64, 201)(65, 206)(66, 211)(67, 209)(68, 213)(69, 215)(70, 216)(71, 218)(72, 220)(73, 192)(74, 214)(75, 219)(76, 217)(77, 187)(78, 193)(79, 188)(80, 189)(81, 195)(82, 190)(83, 194)(84, 191)(85, 196)(86, 202)(87, 197)(88, 198)(89, 204)(90, 199)(91, 203)(92, 200)(93, 237)(94, 239)(95, 240)(96, 242)(97, 244)(98, 238)(99, 243)(100, 241)(101, 245)(102, 247)(103, 248)(104, 250)(105, 252)(106, 246)(107, 251)(108, 249)(109, 221)(110, 226)(111, 222)(112, 223)(113, 228)(114, 224)(115, 227)(116, 225)(117, 229)(118, 234)(119, 230)(120, 231)(121, 236)(122, 232)(123, 235)(124, 233)(125, 256)(126, 255)(127, 254)(128, 253)(257, 387)(258, 389)(259, 385)(260, 394)(261, 386)(262, 398)(263, 399)(264, 402)(265, 403)(266, 388)(267, 407)(268, 410)(269, 411)(270, 390)(271, 391)(272, 418)(273, 419)(274, 392)(275, 393)(276, 420)(277, 426)(278, 428)(279, 395)(280, 432)(281, 433)(282, 396)(283, 397)(284, 434)(285, 440)(286, 442)(287, 443)(288, 445)(289, 446)(290, 400)(291, 401)(292, 404)(293, 449)(294, 451)(295, 444)(296, 450)(297, 447)(298, 405)(299, 448)(300, 406)(301, 452)(302, 454)(303, 455)(304, 408)(305, 409)(306, 412)(307, 458)(308, 460)(309, 453)(310, 459)(311, 456)(312, 413)(313, 457)(314, 414)(315, 415)(316, 423)(317, 416)(318, 417)(319, 425)(320, 427)(321, 421)(322, 424)(323, 422)(324, 429)(325, 437)(326, 430)(327, 431)(328, 439)(329, 441)(330, 435)(331, 438)(332, 436)(333, 477)(334, 479)(335, 480)(336, 482)(337, 484)(338, 478)(339, 483)(340, 481)(341, 485)(342, 487)(343, 488)(344, 490)(345, 492)(346, 486)(347, 491)(348, 489)(349, 461)(350, 466)(351, 462)(352, 463)(353, 468)(354, 464)(355, 467)(356, 465)(357, 469)(358, 474)(359, 470)(360, 471)(361, 476)(362, 472)(363, 475)(364, 473)(365, 507)(366, 503)(367, 502)(368, 506)(369, 510)(370, 504)(371, 501)(372, 509)(373, 499)(374, 495)(375, 494)(376, 498)(377, 512)(378, 496)(379, 493)(380, 511)(381, 500)(382, 497)(383, 508)(384, 505)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1953
Transitivity :: VT+
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1956 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6657>$ (small group id <256, 6657>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (R * Y3)^2, R * Y1 * R * Y2, Y3^4, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 49, 177, 305, 433, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 57, 185, 313, 441, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 46, 174, 302, 430, 65, 193, 321, 449, 47, 175, 303, 431)(28, 156, 284, 412, 51, 179, 307, 435, 30, 158, 286, 414, 52, 180, 308, 436)(35, 163, 291, 419, 54, 182, 310, 438, 73, 201, 329, 457, 55, 183, 311, 439)(38, 166, 294, 422, 59, 187, 315, 443, 40, 168, 296, 424, 60, 188, 316, 444)(45, 173, 301, 429, 62, 190, 318, 446, 81, 209, 337, 465, 63, 191, 319, 447)(48, 176, 304, 432, 67, 195, 323, 451, 50, 178, 306, 434, 68, 196, 324, 452)(53, 181, 309, 437, 70, 198, 326, 454, 89, 217, 345, 473, 71, 199, 327, 455)(56, 184, 312, 440, 75, 203, 331, 459, 58, 186, 314, 442, 76, 204, 332, 460)(61, 189, 317, 445, 78, 206, 334, 462, 97, 225, 353, 481, 79, 207, 335, 463)(64, 192, 320, 448, 83, 211, 339, 467, 66, 194, 322, 450, 84, 212, 340, 468)(69, 197, 325, 453, 86, 214, 342, 470, 105, 233, 361, 489, 87, 215, 343, 471)(72, 200, 328, 456, 91, 219, 347, 475, 74, 202, 330, 458, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478, 113, 241, 369, 497, 95, 223, 351, 479)(80, 208, 336, 464, 99, 227, 355, 483, 82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486, 121, 249, 377, 505, 103, 231, 359, 487)(88, 216, 344, 472, 107, 235, 363, 491, 90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 110, 238, 366, 494, 117, 245, 373, 501, 111, 239, 367, 495)(96, 224, 352, 480, 115, 243, 371, 499, 98, 226, 354, 482, 116, 244, 372, 500)(101, 229, 357, 485, 118, 246, 374, 502, 109, 237, 365, 493, 119, 247, 375, 503)(104, 232, 360, 488, 123, 251, 379, 507, 106, 234, 362, 490, 124, 252, 380, 508)(112, 240, 368, 496, 125, 253, 381, 509, 114, 242, 370, 498, 126, 254, 382, 510)(120, 248, 376, 504, 127, 255, 383, 511, 122, 250, 378, 506, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 173)(26, 176)(27, 178)(28, 175)(29, 177)(30, 174)(31, 179)(32, 180)(33, 172)(34, 171)(35, 181)(36, 184)(37, 186)(38, 183)(39, 185)(40, 182)(41, 187)(42, 188)(43, 162)(44, 161)(45, 153)(46, 158)(47, 156)(48, 154)(49, 157)(50, 155)(51, 159)(52, 160)(53, 163)(54, 168)(55, 166)(56, 164)(57, 167)(58, 165)(59, 169)(60, 170)(61, 205)(62, 208)(63, 210)(64, 207)(65, 209)(66, 206)(67, 211)(68, 212)(69, 213)(70, 216)(71, 218)(72, 215)(73, 217)(74, 214)(75, 219)(76, 220)(77, 189)(78, 194)(79, 192)(80, 190)(81, 193)(82, 191)(83, 195)(84, 196)(85, 197)(86, 202)(87, 200)(88, 198)(89, 201)(90, 199)(91, 203)(92, 204)(93, 237)(94, 240)(95, 242)(96, 239)(97, 241)(98, 238)(99, 243)(100, 244)(101, 245)(102, 248)(103, 250)(104, 247)(105, 249)(106, 246)(107, 251)(108, 252)(109, 221)(110, 226)(111, 224)(112, 222)(113, 225)(114, 223)(115, 227)(116, 228)(117, 229)(118, 234)(119, 232)(120, 230)(121, 233)(122, 231)(123, 235)(124, 236)(125, 255)(126, 256)(127, 253)(128, 254)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 427)(288, 428)(289, 425)(290, 426)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 417)(298, 418)(299, 415)(300, 416)(301, 445)(302, 448)(303, 450)(304, 447)(305, 449)(306, 446)(307, 451)(308, 452)(309, 453)(310, 456)(311, 458)(312, 455)(313, 457)(314, 454)(315, 459)(316, 460)(317, 429)(318, 434)(319, 432)(320, 430)(321, 433)(322, 431)(323, 435)(324, 436)(325, 437)(326, 442)(327, 440)(328, 438)(329, 441)(330, 439)(331, 443)(332, 444)(333, 477)(334, 480)(335, 482)(336, 479)(337, 481)(338, 478)(339, 483)(340, 484)(341, 485)(342, 488)(343, 490)(344, 487)(345, 489)(346, 486)(347, 491)(348, 492)(349, 461)(350, 466)(351, 464)(352, 462)(353, 465)(354, 463)(355, 467)(356, 468)(357, 469)(358, 474)(359, 472)(360, 470)(361, 473)(362, 471)(363, 475)(364, 476)(365, 505)(366, 504)(367, 506)(368, 502)(369, 501)(370, 503)(371, 509)(372, 510)(373, 497)(374, 496)(375, 498)(376, 494)(377, 493)(378, 495)(379, 511)(380, 512)(381, 499)(382, 500)(383, 507)(384, 508)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1950
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1957 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {2, 2, 2, 4})
Quotient :: loop^2
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 6655>$ (small group id <256, 6655>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, R * Y1 * R * Y2, (Y3^-1 * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y3^-1)^2, (Y1 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y2 * Y3^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y1 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 14, 142, 270, 398, 5, 133, 261, 389)(2, 130, 258, 386, 7, 135, 263, 391, 22, 150, 278, 406, 8, 136, 264, 392)(3, 131, 259, 387, 10, 138, 266, 394, 29, 157, 285, 413, 11, 139, 267, 395)(6, 134, 262, 390, 18, 146, 274, 402, 39, 167, 295, 423, 19, 147, 275, 403)(9, 137, 265, 393, 26, 154, 282, 410, 49, 177, 305, 433, 27, 155, 283, 411)(12, 140, 268, 396, 31, 159, 287, 415, 15, 143, 271, 399, 32, 160, 288, 416)(13, 141, 269, 397, 33, 161, 289, 417, 16, 144, 272, 400, 34, 162, 290, 418)(17, 145, 273, 401, 36, 164, 292, 420, 57, 185, 313, 441, 37, 165, 293, 421)(20, 148, 276, 404, 41, 169, 297, 425, 23, 151, 279, 407, 42, 170, 298, 426)(21, 149, 277, 405, 43, 171, 299, 427, 24, 152, 280, 408, 44, 172, 300, 428)(25, 153, 281, 409, 46, 174, 302, 430, 65, 193, 321, 449, 47, 175, 303, 431)(28, 156, 284, 412, 51, 179, 307, 435, 30, 158, 286, 414, 52, 180, 308, 436)(35, 163, 291, 419, 54, 182, 310, 438, 73, 201, 329, 457, 55, 183, 311, 439)(38, 166, 294, 422, 59, 187, 315, 443, 40, 168, 296, 424, 60, 188, 316, 444)(45, 173, 301, 429, 62, 190, 318, 446, 81, 209, 337, 465, 63, 191, 319, 447)(48, 176, 304, 432, 67, 195, 323, 451, 50, 178, 306, 434, 68, 196, 324, 452)(53, 181, 309, 437, 70, 198, 326, 454, 89, 217, 345, 473, 71, 199, 327, 455)(56, 184, 312, 440, 75, 203, 331, 459, 58, 186, 314, 442, 76, 204, 332, 460)(61, 189, 317, 445, 78, 206, 334, 462, 97, 225, 353, 481, 79, 207, 335, 463)(64, 192, 320, 448, 83, 211, 339, 467, 66, 194, 322, 450, 84, 212, 340, 468)(69, 197, 325, 453, 86, 214, 342, 470, 105, 233, 361, 489, 87, 215, 343, 471)(72, 200, 328, 456, 91, 219, 347, 475, 74, 202, 330, 458, 92, 220, 348, 476)(77, 205, 333, 461, 94, 222, 350, 478, 113, 241, 369, 497, 95, 223, 351, 479)(80, 208, 336, 464, 99, 227, 355, 483, 82, 210, 338, 466, 100, 228, 356, 484)(85, 213, 341, 469, 102, 230, 358, 486, 121, 249, 377, 505, 103, 231, 359, 487)(88, 216, 344, 472, 107, 235, 363, 491, 90, 218, 346, 474, 108, 236, 364, 492)(93, 221, 349, 477, 110, 238, 366, 494, 117, 245, 373, 501, 111, 239, 367, 495)(96, 224, 352, 480, 115, 243, 371, 499, 98, 226, 354, 482, 116, 244, 372, 500)(101, 229, 357, 485, 118, 246, 374, 502, 109, 237, 365, 493, 119, 247, 375, 503)(104, 232, 360, 488, 123, 251, 379, 507, 106, 234, 362, 490, 124, 252, 380, 508)(112, 240, 368, 496, 125, 253, 381, 509, 114, 242, 370, 498, 126, 254, 382, 510)(120, 248, 376, 504, 127, 255, 383, 511, 122, 250, 378, 506, 128, 256, 384, 512)
	L = (1, 130)(2, 129)(3, 137)(4, 140)(5, 143)(6, 145)(7, 148)(8, 151)(9, 131)(10, 152)(11, 149)(12, 132)(13, 147)(14, 150)(15, 133)(16, 146)(17, 134)(18, 144)(19, 141)(20, 135)(21, 139)(22, 142)(23, 136)(24, 138)(25, 173)(26, 176)(27, 178)(28, 175)(29, 177)(30, 174)(31, 180)(32, 179)(33, 171)(34, 172)(35, 181)(36, 184)(37, 186)(38, 183)(39, 185)(40, 182)(41, 188)(42, 187)(43, 161)(44, 162)(45, 153)(46, 158)(47, 156)(48, 154)(49, 157)(50, 155)(51, 160)(52, 159)(53, 163)(54, 168)(55, 166)(56, 164)(57, 167)(58, 165)(59, 170)(60, 169)(61, 205)(62, 208)(63, 210)(64, 207)(65, 209)(66, 206)(67, 212)(68, 211)(69, 213)(70, 216)(71, 218)(72, 215)(73, 217)(74, 214)(75, 220)(76, 219)(77, 189)(78, 194)(79, 192)(80, 190)(81, 193)(82, 191)(83, 196)(84, 195)(85, 197)(86, 202)(87, 200)(88, 198)(89, 201)(90, 199)(91, 204)(92, 203)(93, 237)(94, 240)(95, 242)(96, 239)(97, 241)(98, 238)(99, 244)(100, 243)(101, 245)(102, 248)(103, 250)(104, 247)(105, 249)(106, 246)(107, 252)(108, 251)(109, 221)(110, 226)(111, 224)(112, 222)(113, 225)(114, 223)(115, 228)(116, 227)(117, 229)(118, 234)(119, 232)(120, 230)(121, 233)(122, 231)(123, 236)(124, 235)(125, 256)(126, 255)(127, 254)(128, 253)(257, 387)(258, 390)(259, 385)(260, 397)(261, 400)(262, 386)(263, 405)(264, 408)(265, 409)(266, 412)(267, 414)(268, 411)(269, 388)(270, 413)(271, 410)(272, 389)(273, 419)(274, 422)(275, 424)(276, 421)(277, 391)(278, 423)(279, 420)(280, 392)(281, 393)(282, 399)(283, 396)(284, 394)(285, 398)(286, 395)(287, 428)(288, 427)(289, 426)(290, 425)(291, 401)(292, 407)(293, 404)(294, 402)(295, 406)(296, 403)(297, 418)(298, 417)(299, 416)(300, 415)(301, 445)(302, 448)(303, 450)(304, 447)(305, 449)(306, 446)(307, 452)(308, 451)(309, 453)(310, 456)(311, 458)(312, 455)(313, 457)(314, 454)(315, 460)(316, 459)(317, 429)(318, 434)(319, 432)(320, 430)(321, 433)(322, 431)(323, 436)(324, 435)(325, 437)(326, 442)(327, 440)(328, 438)(329, 441)(330, 439)(331, 444)(332, 443)(333, 477)(334, 480)(335, 482)(336, 479)(337, 481)(338, 478)(339, 484)(340, 483)(341, 485)(342, 488)(343, 490)(344, 487)(345, 489)(346, 486)(347, 492)(348, 491)(349, 461)(350, 466)(351, 464)(352, 462)(353, 465)(354, 463)(355, 468)(356, 467)(357, 469)(358, 474)(359, 472)(360, 470)(361, 473)(362, 471)(363, 476)(364, 475)(365, 505)(366, 504)(367, 506)(368, 502)(369, 501)(370, 503)(371, 510)(372, 509)(373, 497)(374, 496)(375, 498)(376, 494)(377, 493)(378, 495)(379, 512)(380, 511)(381, 500)(382, 499)(383, 508)(384, 507)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1951
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1958 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 26967>$ (small group id <256, 26967>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1 * Y2 * Y1)^2, (Y3 * Y1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 10, 138)(6, 134, 12, 140)(8, 136, 15, 143)(11, 139, 20, 148)(13, 141, 23, 151)(14, 142, 21, 149)(16, 144, 19, 147)(17, 145, 22, 150)(18, 146, 28, 156)(24, 152, 35, 163)(25, 153, 34, 162)(26, 154, 32, 160)(27, 155, 31, 159)(29, 157, 39, 167)(30, 158, 38, 166)(33, 161, 41, 169)(36, 164, 44, 172)(37, 165, 45, 173)(40, 168, 48, 176)(42, 170, 51, 179)(43, 171, 50, 178)(46, 174, 55, 183)(47, 175, 54, 182)(49, 177, 57, 185)(52, 180, 60, 188)(53, 181, 61, 189)(56, 184, 64, 192)(58, 186, 67, 195)(59, 187, 66, 194)(62, 190, 71, 199)(63, 191, 70, 198)(65, 193, 73, 201)(68, 196, 76, 204)(69, 197, 77, 205)(72, 200, 80, 208)(74, 202, 83, 211)(75, 203, 82, 210)(78, 206, 87, 215)(79, 207, 86, 214)(81, 209, 89, 217)(84, 212, 92, 220)(85, 213, 93, 221)(88, 216, 96, 224)(90, 218, 99, 227)(91, 219, 98, 226)(94, 222, 103, 231)(95, 223, 102, 230)(97, 225, 105, 233)(100, 228, 108, 236)(101, 229, 109, 237)(104, 232, 112, 240)(106, 234, 115, 243)(107, 235, 114, 242)(110, 238, 119, 247)(111, 239, 118, 246)(113, 241, 121, 249)(116, 244, 124, 252)(117, 245, 125, 253)(120, 248, 128, 256)(122, 250, 126, 254)(123, 251, 127, 255)(257, 385, 259, 387)(258, 386, 261, 389)(260, 388, 264, 392)(262, 390, 267, 395)(263, 391, 269, 397)(265, 393, 272, 400)(266, 394, 274, 402)(268, 396, 277, 405)(270, 398, 280, 408)(271, 399, 281, 409)(273, 401, 283, 411)(275, 403, 285, 413)(276, 404, 286, 414)(278, 406, 288, 416)(279, 407, 289, 417)(282, 410, 292, 420)(284, 412, 293, 421)(287, 415, 296, 424)(290, 418, 298, 426)(291, 419, 299, 427)(294, 422, 302, 430)(295, 423, 303, 431)(297, 425, 305, 433)(300, 428, 308, 436)(301, 429, 309, 437)(304, 432, 312, 440)(306, 434, 314, 442)(307, 435, 315, 443)(310, 438, 318, 446)(311, 439, 319, 447)(313, 441, 321, 449)(316, 444, 324, 452)(317, 445, 325, 453)(320, 448, 328, 456)(322, 450, 330, 458)(323, 451, 331, 459)(326, 454, 334, 462)(327, 455, 335, 463)(329, 457, 337, 465)(332, 460, 340, 468)(333, 461, 341, 469)(336, 464, 344, 472)(338, 466, 346, 474)(339, 467, 347, 475)(342, 470, 350, 478)(343, 471, 351, 479)(345, 473, 353, 481)(348, 476, 356, 484)(349, 477, 357, 485)(352, 480, 360, 488)(354, 482, 362, 490)(355, 483, 363, 491)(358, 486, 366, 494)(359, 487, 367, 495)(361, 489, 369, 497)(364, 492, 372, 500)(365, 493, 373, 501)(368, 496, 376, 504)(370, 498, 378, 506)(371, 499, 379, 507)(374, 502, 382, 510)(375, 503, 383, 511)(377, 505, 384, 512)(380, 508, 381, 509)
	L = (1, 260)(2, 262)(3, 264)(4, 257)(5, 267)(6, 258)(7, 270)(8, 259)(9, 273)(10, 275)(11, 261)(12, 278)(13, 280)(14, 263)(15, 282)(16, 283)(17, 265)(18, 285)(19, 266)(20, 287)(21, 288)(22, 268)(23, 290)(24, 269)(25, 292)(26, 271)(27, 272)(28, 294)(29, 274)(30, 296)(31, 276)(32, 277)(33, 298)(34, 279)(35, 300)(36, 281)(37, 302)(38, 284)(39, 304)(40, 286)(41, 306)(42, 289)(43, 308)(44, 291)(45, 310)(46, 293)(47, 312)(48, 295)(49, 314)(50, 297)(51, 316)(52, 299)(53, 318)(54, 301)(55, 320)(56, 303)(57, 322)(58, 305)(59, 324)(60, 307)(61, 326)(62, 309)(63, 328)(64, 311)(65, 330)(66, 313)(67, 332)(68, 315)(69, 334)(70, 317)(71, 336)(72, 319)(73, 338)(74, 321)(75, 340)(76, 323)(77, 342)(78, 325)(79, 344)(80, 327)(81, 346)(82, 329)(83, 348)(84, 331)(85, 350)(86, 333)(87, 352)(88, 335)(89, 354)(90, 337)(91, 356)(92, 339)(93, 358)(94, 341)(95, 360)(96, 343)(97, 362)(98, 345)(99, 364)(100, 347)(101, 366)(102, 349)(103, 368)(104, 351)(105, 370)(106, 353)(107, 372)(108, 355)(109, 374)(110, 357)(111, 376)(112, 359)(113, 378)(114, 361)(115, 380)(116, 363)(117, 382)(118, 365)(119, 384)(120, 367)(121, 383)(122, 369)(123, 381)(124, 371)(125, 379)(126, 373)(127, 377)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1961
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1959 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 26970>$ (small group id <256, 26970>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3 * Y1 * Y3^-1 * Y1, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130)(3, 131, 9, 137)(4, 132, 7, 135)(5, 133, 8, 136)(6, 134, 13, 141)(10, 138, 18, 146)(11, 139, 19, 147)(12, 140, 16, 144)(14, 142, 22, 150)(15, 143, 23, 151)(17, 145, 25, 153)(20, 148, 28, 156)(21, 149, 29, 157)(24, 152, 32, 160)(26, 154, 34, 162)(27, 155, 35, 163)(30, 158, 38, 166)(31, 159, 39, 167)(33, 161, 41, 169)(36, 164, 44, 172)(37, 165, 45, 173)(40, 168, 48, 176)(42, 170, 50, 178)(43, 171, 51, 179)(46, 174, 54, 182)(47, 175, 55, 183)(49, 177, 57, 185)(52, 180, 60, 188)(53, 181, 61, 189)(56, 184, 64, 192)(58, 186, 66, 194)(59, 187, 67, 195)(62, 190, 70, 198)(63, 191, 71, 199)(65, 193, 73, 201)(68, 196, 76, 204)(69, 197, 77, 205)(72, 200, 80, 208)(74, 202, 82, 210)(75, 203, 83, 211)(78, 206, 86, 214)(79, 207, 87, 215)(81, 209, 89, 217)(84, 212, 92, 220)(85, 213, 93, 221)(88, 216, 96, 224)(90, 218, 98, 226)(91, 219, 99, 227)(94, 222, 102, 230)(95, 223, 103, 231)(97, 225, 105, 233)(100, 228, 108, 236)(101, 229, 109, 237)(104, 232, 112, 240)(106, 234, 114, 242)(107, 235, 115, 243)(110, 238, 118, 246)(111, 239, 119, 247)(113, 241, 121, 249)(116, 244, 124, 252)(117, 245, 125, 253)(120, 248, 128, 256)(122, 250, 127, 255)(123, 251, 126, 254)(257, 385, 259, 387)(258, 386, 262, 390)(260, 388, 267, 395)(261, 389, 266, 394)(263, 391, 271, 399)(264, 392, 270, 398)(265, 393, 273, 401)(268, 396, 276, 404)(269, 397, 277, 405)(272, 400, 280, 408)(274, 402, 283, 411)(275, 403, 282, 410)(278, 406, 287, 415)(279, 407, 286, 414)(281, 409, 289, 417)(284, 412, 292, 420)(285, 413, 293, 421)(288, 416, 296, 424)(290, 418, 299, 427)(291, 419, 298, 426)(294, 422, 303, 431)(295, 423, 302, 430)(297, 425, 305, 433)(300, 428, 308, 436)(301, 429, 309, 437)(304, 432, 312, 440)(306, 434, 315, 443)(307, 435, 314, 442)(310, 438, 319, 447)(311, 439, 318, 446)(313, 441, 321, 449)(316, 444, 324, 452)(317, 445, 325, 453)(320, 448, 328, 456)(322, 450, 331, 459)(323, 451, 330, 458)(326, 454, 335, 463)(327, 455, 334, 462)(329, 457, 337, 465)(332, 460, 340, 468)(333, 461, 341, 469)(336, 464, 344, 472)(338, 466, 347, 475)(339, 467, 346, 474)(342, 470, 351, 479)(343, 471, 350, 478)(345, 473, 353, 481)(348, 476, 356, 484)(349, 477, 357, 485)(352, 480, 360, 488)(354, 482, 363, 491)(355, 483, 362, 490)(358, 486, 367, 495)(359, 487, 366, 494)(361, 489, 369, 497)(364, 492, 372, 500)(365, 493, 373, 501)(368, 496, 376, 504)(370, 498, 379, 507)(371, 499, 378, 506)(374, 502, 383, 511)(375, 503, 382, 510)(377, 505, 384, 512)(380, 508, 381, 509)
	L = (1, 260)(2, 263)(3, 266)(4, 268)(5, 257)(6, 270)(7, 272)(8, 258)(9, 274)(10, 276)(11, 259)(12, 261)(13, 278)(14, 280)(15, 262)(16, 264)(17, 282)(18, 284)(19, 265)(20, 267)(21, 286)(22, 288)(23, 269)(24, 271)(25, 290)(26, 292)(27, 273)(28, 275)(29, 294)(30, 296)(31, 277)(32, 279)(33, 298)(34, 300)(35, 281)(36, 283)(37, 302)(38, 304)(39, 285)(40, 287)(41, 306)(42, 308)(43, 289)(44, 291)(45, 310)(46, 312)(47, 293)(48, 295)(49, 314)(50, 316)(51, 297)(52, 299)(53, 318)(54, 320)(55, 301)(56, 303)(57, 322)(58, 324)(59, 305)(60, 307)(61, 326)(62, 328)(63, 309)(64, 311)(65, 330)(66, 332)(67, 313)(68, 315)(69, 334)(70, 336)(71, 317)(72, 319)(73, 338)(74, 340)(75, 321)(76, 323)(77, 342)(78, 344)(79, 325)(80, 327)(81, 346)(82, 348)(83, 329)(84, 331)(85, 350)(86, 352)(87, 333)(88, 335)(89, 354)(90, 356)(91, 337)(92, 339)(93, 358)(94, 360)(95, 341)(96, 343)(97, 362)(98, 364)(99, 345)(100, 347)(101, 366)(102, 368)(103, 349)(104, 351)(105, 370)(106, 372)(107, 353)(108, 355)(109, 374)(110, 376)(111, 357)(112, 359)(113, 378)(114, 380)(115, 361)(116, 363)(117, 382)(118, 384)(119, 365)(120, 367)(121, 383)(122, 381)(123, 369)(124, 371)(125, 379)(126, 377)(127, 373)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1960
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1960 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 26970>$ (small group id <256, 26970>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2 * Y1^2, Y3^-2 * Y1^2, Y1^4, (Y3^-1, Y1^-1), (Y3 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1^-1 * Y2 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 7, 135, 5, 133)(3, 131, 11, 139, 16, 144, 13, 141)(4, 132, 9, 137, 6, 134, 10, 138)(8, 136, 17, 145, 15, 143, 19, 147)(12, 140, 22, 150, 14, 142, 23, 151)(18, 146, 26, 154, 20, 148, 27, 155)(21, 149, 29, 157, 24, 152, 31, 159)(25, 153, 33, 161, 28, 156, 35, 163)(30, 158, 38, 166, 32, 160, 39, 167)(34, 162, 42, 170, 36, 164, 43, 171)(37, 165, 45, 173, 40, 168, 47, 175)(41, 169, 49, 177, 44, 172, 51, 179)(46, 174, 54, 182, 48, 176, 55, 183)(50, 178, 58, 186, 52, 180, 59, 187)(53, 181, 61, 189, 56, 184, 63, 191)(57, 185, 65, 193, 60, 188, 67, 195)(62, 190, 70, 198, 64, 192, 71, 199)(66, 194, 74, 202, 68, 196, 75, 203)(69, 197, 77, 205, 72, 200, 79, 207)(73, 201, 81, 209, 76, 204, 83, 211)(78, 206, 86, 214, 80, 208, 87, 215)(82, 210, 90, 218, 84, 212, 91, 219)(85, 213, 93, 221, 88, 216, 95, 223)(89, 217, 97, 225, 92, 220, 99, 227)(94, 222, 102, 230, 96, 224, 103, 231)(98, 226, 106, 234, 100, 228, 107, 235)(101, 229, 109, 237, 104, 232, 111, 239)(105, 233, 113, 241, 108, 236, 115, 243)(110, 238, 118, 246, 112, 240, 119, 247)(114, 242, 122, 250, 116, 244, 123, 251)(117, 245, 124, 252, 120, 248, 121, 249)(125, 253, 128, 256, 126, 254, 127, 255)(257, 385, 259, 387)(258, 386, 264, 392)(260, 388, 270, 398)(261, 389, 271, 399)(262, 390, 268, 396)(263, 391, 272, 400)(265, 393, 276, 404)(266, 394, 274, 402)(267, 395, 277, 405)(269, 397, 280, 408)(273, 401, 281, 409)(275, 403, 284, 412)(278, 406, 288, 416)(279, 407, 286, 414)(282, 410, 292, 420)(283, 411, 290, 418)(285, 413, 293, 421)(287, 415, 296, 424)(289, 417, 297, 425)(291, 419, 300, 428)(294, 422, 304, 432)(295, 423, 302, 430)(298, 426, 308, 436)(299, 427, 306, 434)(301, 429, 309, 437)(303, 431, 312, 440)(305, 433, 313, 441)(307, 435, 316, 444)(310, 438, 320, 448)(311, 439, 318, 446)(314, 442, 324, 452)(315, 443, 322, 450)(317, 445, 325, 453)(319, 447, 328, 456)(321, 449, 329, 457)(323, 451, 332, 460)(326, 454, 336, 464)(327, 455, 334, 462)(330, 458, 340, 468)(331, 459, 338, 466)(333, 461, 341, 469)(335, 463, 344, 472)(337, 465, 345, 473)(339, 467, 348, 476)(342, 470, 352, 480)(343, 471, 350, 478)(346, 474, 356, 484)(347, 475, 354, 482)(349, 477, 357, 485)(351, 479, 360, 488)(353, 481, 361, 489)(355, 483, 364, 492)(358, 486, 368, 496)(359, 487, 366, 494)(362, 490, 372, 500)(363, 491, 370, 498)(365, 493, 373, 501)(367, 495, 376, 504)(369, 497, 377, 505)(371, 499, 380, 508)(374, 502, 382, 510)(375, 503, 381, 509)(378, 506, 384, 512)(379, 507, 383, 511)
	L = (1, 260)(2, 265)(3, 268)(4, 263)(5, 266)(6, 257)(7, 262)(8, 274)(9, 261)(10, 258)(11, 278)(12, 272)(13, 279)(14, 259)(15, 276)(16, 270)(17, 282)(18, 271)(19, 283)(20, 264)(21, 286)(22, 269)(23, 267)(24, 288)(25, 290)(26, 275)(27, 273)(28, 292)(29, 294)(30, 280)(31, 295)(32, 277)(33, 298)(34, 284)(35, 299)(36, 281)(37, 302)(38, 287)(39, 285)(40, 304)(41, 306)(42, 291)(43, 289)(44, 308)(45, 310)(46, 296)(47, 311)(48, 293)(49, 314)(50, 300)(51, 315)(52, 297)(53, 318)(54, 303)(55, 301)(56, 320)(57, 322)(58, 307)(59, 305)(60, 324)(61, 326)(62, 312)(63, 327)(64, 309)(65, 330)(66, 316)(67, 331)(68, 313)(69, 334)(70, 319)(71, 317)(72, 336)(73, 338)(74, 323)(75, 321)(76, 340)(77, 342)(78, 328)(79, 343)(80, 325)(81, 346)(82, 332)(83, 347)(84, 329)(85, 350)(86, 335)(87, 333)(88, 352)(89, 354)(90, 339)(91, 337)(92, 356)(93, 358)(94, 344)(95, 359)(96, 341)(97, 362)(98, 348)(99, 363)(100, 345)(101, 366)(102, 351)(103, 349)(104, 368)(105, 370)(106, 355)(107, 353)(108, 372)(109, 374)(110, 360)(111, 375)(112, 357)(113, 378)(114, 364)(115, 379)(116, 361)(117, 381)(118, 367)(119, 365)(120, 382)(121, 383)(122, 371)(123, 369)(124, 384)(125, 376)(126, 373)(127, 380)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1959
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1961 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 4})
Quotient :: dipole
Aut^+ = $<128, 995>$ (small group id <128, 995>)
Aut   = $<256, 26967>$ (small group id <256, 26967>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^4, (R * Y2)^2, (Y3 * Y2)^2, (R * Y3)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (Y1^-1 * Y2 * Y1^-1)^2, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 6, 134, 5, 133)(3, 131, 9, 137, 14, 142, 11, 139)(4, 132, 12, 140, 15, 143, 8, 136)(7, 135, 16, 144, 13, 141, 18, 146)(10, 138, 21, 149, 24, 152, 20, 148)(17, 145, 27, 155, 23, 151, 26, 154)(19, 147, 29, 157, 22, 150, 31, 159)(25, 153, 33, 161, 28, 156, 35, 163)(30, 158, 39, 167, 32, 160, 38, 166)(34, 162, 43, 171, 36, 164, 42, 170)(37, 165, 45, 173, 40, 168, 47, 175)(41, 169, 49, 177, 44, 172, 51, 179)(46, 174, 55, 183, 48, 176, 54, 182)(50, 178, 59, 187, 52, 180, 58, 186)(53, 181, 61, 189, 56, 184, 63, 191)(57, 185, 65, 193, 60, 188, 67, 195)(62, 190, 71, 199, 64, 192, 70, 198)(66, 194, 75, 203, 68, 196, 74, 202)(69, 197, 77, 205, 72, 200, 79, 207)(73, 201, 81, 209, 76, 204, 83, 211)(78, 206, 87, 215, 80, 208, 86, 214)(82, 210, 91, 219, 84, 212, 90, 218)(85, 213, 93, 221, 88, 216, 95, 223)(89, 217, 97, 225, 92, 220, 99, 227)(94, 222, 103, 231, 96, 224, 102, 230)(98, 226, 107, 235, 100, 228, 106, 234)(101, 229, 109, 237, 104, 232, 111, 239)(105, 233, 113, 241, 108, 236, 115, 243)(110, 238, 119, 247, 112, 240, 118, 246)(114, 242, 123, 251, 116, 244, 122, 250)(117, 245, 124, 252, 120, 248, 121, 249)(125, 253, 127, 255, 126, 254, 128, 256)(257, 385, 259, 387)(258, 386, 263, 391)(260, 388, 266, 394)(261, 389, 269, 397)(262, 390, 270, 398)(264, 392, 273, 401)(265, 393, 275, 403)(267, 395, 278, 406)(268, 396, 279, 407)(271, 399, 280, 408)(272, 400, 281, 409)(274, 402, 284, 412)(276, 404, 286, 414)(277, 405, 288, 416)(282, 410, 290, 418)(283, 411, 292, 420)(285, 413, 293, 421)(287, 415, 296, 424)(289, 417, 297, 425)(291, 419, 300, 428)(294, 422, 302, 430)(295, 423, 304, 432)(298, 426, 306, 434)(299, 427, 308, 436)(301, 429, 309, 437)(303, 431, 312, 440)(305, 433, 313, 441)(307, 435, 316, 444)(310, 438, 318, 446)(311, 439, 320, 448)(314, 442, 322, 450)(315, 443, 324, 452)(317, 445, 325, 453)(319, 447, 328, 456)(321, 449, 329, 457)(323, 451, 332, 460)(326, 454, 334, 462)(327, 455, 336, 464)(330, 458, 338, 466)(331, 459, 340, 468)(333, 461, 341, 469)(335, 463, 344, 472)(337, 465, 345, 473)(339, 467, 348, 476)(342, 470, 350, 478)(343, 471, 352, 480)(346, 474, 354, 482)(347, 475, 356, 484)(349, 477, 357, 485)(351, 479, 360, 488)(353, 481, 361, 489)(355, 483, 364, 492)(358, 486, 366, 494)(359, 487, 368, 496)(362, 490, 370, 498)(363, 491, 372, 500)(365, 493, 373, 501)(367, 495, 376, 504)(369, 497, 377, 505)(371, 499, 380, 508)(374, 502, 381, 509)(375, 503, 382, 510)(378, 506, 383, 511)(379, 507, 384, 512)
	L = (1, 260)(2, 264)(3, 266)(4, 257)(5, 268)(6, 271)(7, 273)(8, 258)(9, 276)(10, 259)(11, 277)(12, 261)(13, 279)(14, 280)(15, 262)(16, 282)(17, 263)(18, 283)(19, 286)(20, 265)(21, 267)(22, 288)(23, 269)(24, 270)(25, 290)(26, 272)(27, 274)(28, 292)(29, 294)(30, 275)(31, 295)(32, 278)(33, 298)(34, 281)(35, 299)(36, 284)(37, 302)(38, 285)(39, 287)(40, 304)(41, 306)(42, 289)(43, 291)(44, 308)(45, 310)(46, 293)(47, 311)(48, 296)(49, 314)(50, 297)(51, 315)(52, 300)(53, 318)(54, 301)(55, 303)(56, 320)(57, 322)(58, 305)(59, 307)(60, 324)(61, 326)(62, 309)(63, 327)(64, 312)(65, 330)(66, 313)(67, 331)(68, 316)(69, 334)(70, 317)(71, 319)(72, 336)(73, 338)(74, 321)(75, 323)(76, 340)(77, 342)(78, 325)(79, 343)(80, 328)(81, 346)(82, 329)(83, 347)(84, 332)(85, 350)(86, 333)(87, 335)(88, 352)(89, 354)(90, 337)(91, 339)(92, 356)(93, 358)(94, 341)(95, 359)(96, 344)(97, 362)(98, 345)(99, 363)(100, 348)(101, 366)(102, 349)(103, 351)(104, 368)(105, 370)(106, 353)(107, 355)(108, 372)(109, 374)(110, 357)(111, 375)(112, 360)(113, 378)(114, 361)(115, 379)(116, 364)(117, 381)(118, 365)(119, 367)(120, 382)(121, 383)(122, 369)(123, 371)(124, 384)(125, 373)(126, 376)(127, 377)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1958
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1962 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-2 * T1^2 * T2^-2 * T1^-2, (T2^-1 * T1^-1)^4, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-1)^4, (T2 * T1^-1 * T2^-1 * T1^-1)^2, (T2 * T1^-2 * T2^-1 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 60, 25)(11, 28, 67, 29)(14, 36, 75, 37)(15, 38, 76, 39)(18, 46, 89, 47)(20, 50, 94, 51)(21, 53, 95, 54)(22, 55, 96, 56)(23, 57, 35, 58)(26, 62, 103, 63)(27, 64, 105, 65)(30, 66, 104, 70)(32, 71, 102, 61)(33, 68, 106, 73)(34, 74, 100, 59)(40, 78, 111, 79)(42, 80, 112, 81)(43, 83, 113, 84)(44, 85, 114, 86)(45, 87, 52, 88)(48, 90, 118, 91)(49, 92, 119, 93)(69, 97, 72, 107)(77, 109, 82, 110)(98, 120, 126, 117)(99, 121, 127, 122)(101, 116, 108, 123)(115, 125, 128, 124)(129, 130, 134, 132)(131, 137, 151, 139)(133, 142, 163, 143)(135, 146, 173, 148)(136, 149, 180, 150)(138, 154, 169, 155)(140, 158, 197, 160)(141, 161, 200, 162)(144, 168, 205, 170)(145, 171, 210, 172)(147, 176, 159, 177)(152, 187, 212, 178)(153, 189, 211, 183)(156, 194, 214, 182)(157, 196, 213, 175)(164, 202, 207, 179)(165, 199, 206, 184)(166, 198, 209, 181)(167, 201, 208, 174)(185, 215, 237, 225)(186, 226, 238, 227)(188, 229, 195, 220)(190, 217, 245, 222)(191, 223, 248, 224)(192, 232, 250, 230)(193, 234, 249, 228)(203, 236, 204, 221)(216, 243, 235, 244)(218, 239, 252, 240)(219, 241, 253, 242)(231, 246, 233, 247)(251, 254, 256, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1965
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1963 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1^-1 * T2^-2 * T1 * T2, (T2^-1 * T1^-1)^4, (T2 * T1^-2 * T2^-1 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 14, 25)(11, 27, 15, 28)(18, 40, 21, 41)(20, 42, 22, 43)(23, 45, 33, 46)(29, 54, 31, 55)(30, 47, 32, 49)(34, 58, 37, 59)(36, 60, 38, 61)(39, 63, 44, 64)(48, 74, 50, 75)(51, 77, 52, 78)(53, 79, 56, 80)(57, 83, 62, 84)(65, 93, 66, 94)(67, 95, 68, 96)(69, 97, 71, 98)(70, 99, 72, 100)(73, 101, 76, 102)(81, 107, 82, 108)(85, 109, 86, 110)(87, 111, 88, 112)(89, 113, 91, 114)(90, 115, 92, 116)(103, 121, 104, 122)(105, 123, 106, 124)(117, 125, 118, 126)(119, 127, 120, 128)(129, 130, 134, 132)(131, 137, 151, 139)(133, 142, 161, 143)(135, 146, 167, 148)(136, 149, 172, 150)(138, 147, 163, 154)(140, 157, 181, 158)(141, 159, 184, 160)(144, 162, 185, 164)(145, 165, 190, 166)(152, 175, 201, 176)(153, 177, 204, 178)(155, 179, 193, 168)(156, 180, 194, 169)(170, 195, 213, 186)(171, 196, 214, 187)(173, 197, 211, 198)(174, 199, 212, 200)(182, 188, 215, 209)(183, 189, 216, 210)(191, 217, 207, 218)(192, 219, 208, 220)(202, 231, 239, 225)(203, 232, 240, 226)(205, 227, 237, 233)(206, 228, 238, 234)(221, 245, 229, 241)(222, 246, 230, 242)(223, 243, 235, 247)(224, 244, 236, 248)(249, 253, 251, 255)(250, 254, 252, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1964
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1964 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T2)^2, T1^4, (F * T1)^2, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T1^-1 * T2^-1)^4, T1^-1 * T2 * T1 * T2^2 * T1 * T2 * T1^-1, T2^-1 * T1^-2 * T2^-1 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2 * T1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131, 10, 138, 5, 133)(2, 130, 7, 135, 19, 147, 8, 136)(4, 132, 12, 140, 31, 159, 13, 141)(6, 134, 16, 144, 41, 169, 17, 145)(9, 137, 24, 152, 44, 172, 25, 153)(11, 139, 28, 156, 66, 194, 29, 157)(14, 142, 36, 164, 72, 200, 37, 165)(15, 143, 38, 166, 40, 168, 39, 167)(18, 146, 46, 174, 34, 162, 47, 175)(20, 148, 50, 178, 85, 213, 51, 179)(21, 149, 53, 181, 88, 216, 54, 182)(22, 150, 55, 183, 30, 158, 56, 184)(23, 151, 57, 185, 89, 217, 58, 186)(26, 154, 62, 190, 91, 219, 63, 191)(27, 155, 64, 192, 81, 209, 45, 173)(32, 160, 70, 198, 93, 221, 59, 187)(33, 161, 60, 188, 94, 222, 65, 193)(35, 163, 71, 199, 83, 211, 48, 176)(42, 170, 76, 204, 105, 233, 77, 205)(43, 171, 79, 207, 108, 236, 80, 208)(49, 177, 84, 212, 101, 229, 73, 201)(52, 180, 87, 215, 103, 231, 74, 202)(61, 189, 95, 223, 117, 245, 96, 224)(67, 195, 97, 225, 118, 246, 98, 226)(68, 196, 75, 203, 104, 232, 99, 227)(69, 197, 78, 206, 107, 235, 100, 228)(82, 210, 109, 237, 123, 251, 110, 238)(86, 214, 111, 239, 124, 252, 112, 240)(90, 218, 114, 242, 126, 254, 115, 243)(92, 220, 116, 244, 125, 253, 113, 241)(102, 230, 119, 247, 127, 255, 120, 248)(106, 234, 121, 249, 128, 256, 122, 250)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 132)(7, 146)(8, 149)(9, 151)(10, 154)(11, 131)(12, 158)(13, 161)(14, 163)(15, 133)(16, 168)(17, 171)(18, 173)(19, 176)(20, 135)(21, 180)(22, 136)(23, 139)(24, 174)(25, 187)(26, 189)(27, 138)(28, 193)(29, 195)(30, 196)(31, 197)(32, 140)(33, 190)(34, 141)(35, 143)(36, 175)(37, 198)(38, 179)(39, 184)(40, 201)(41, 202)(42, 144)(43, 206)(44, 145)(45, 148)(46, 167)(47, 157)(48, 210)(49, 147)(50, 165)(51, 214)(52, 150)(53, 166)(54, 156)(55, 205)(56, 152)(57, 159)(58, 215)(59, 220)(60, 153)(61, 155)(62, 162)(63, 216)(64, 226)(65, 204)(66, 212)(67, 164)(68, 160)(69, 218)(70, 208)(71, 209)(72, 224)(73, 170)(74, 230)(75, 169)(76, 182)(77, 234)(78, 172)(79, 183)(80, 178)(81, 235)(82, 177)(83, 236)(84, 240)(85, 232)(86, 181)(87, 229)(88, 238)(89, 241)(90, 185)(91, 186)(92, 188)(93, 192)(94, 243)(95, 194)(96, 244)(97, 191)(98, 242)(99, 199)(100, 200)(101, 219)(102, 203)(103, 222)(104, 250)(105, 217)(106, 207)(107, 227)(108, 248)(109, 213)(110, 225)(111, 211)(112, 223)(113, 247)(114, 221)(115, 249)(116, 228)(117, 251)(118, 252)(119, 233)(120, 239)(121, 231)(122, 237)(123, 255)(124, 256)(125, 246)(126, 245)(127, 254)(128, 253)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1963
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1965 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, T1^4, T2^4, T2^-2 * T1 * T2^-1 * T1^-2 * T2^-1 * T1, T1^-1 * T2^-2 * T1^-1 * T2 * T1^-2 * T2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T1^-1 * T2)^4, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131, 10, 138, 5, 133)(2, 130, 7, 135, 19, 147, 8, 136)(4, 132, 12, 140, 31, 159, 13, 141)(6, 134, 16, 144, 41, 169, 17, 145)(9, 137, 24, 152, 59, 187, 25, 153)(11, 139, 28, 156, 43, 171, 29, 157)(14, 142, 36, 164, 42, 170, 37, 165)(15, 143, 38, 166, 72, 200, 39, 167)(18, 146, 46, 174, 82, 210, 47, 175)(20, 148, 50, 178, 33, 161, 51, 179)(21, 149, 53, 181, 32, 160, 54, 182)(22, 150, 55, 183, 88, 216, 56, 184)(23, 151, 48, 176, 85, 213, 57, 185)(26, 154, 62, 190, 96, 224, 63, 191)(27, 155, 52, 180, 87, 215, 64, 192)(30, 158, 65, 193, 97, 225, 66, 194)(34, 162, 70, 198, 90, 218, 58, 186)(35, 163, 71, 199, 100, 228, 68, 196)(40, 168, 74, 202, 102, 230, 75, 203)(44, 172, 79, 207, 108, 236, 80, 208)(45, 173, 76, 204, 105, 233, 81, 209)(49, 177, 78, 206, 107, 235, 86, 214)(60, 188, 93, 221, 116, 244, 94, 222)(61, 189, 91, 219, 115, 243, 95, 223)(67, 195, 92, 220, 101, 229, 73, 201)(69, 197, 89, 217, 106, 234, 77, 205)(83, 211, 110, 238, 124, 252, 111, 239)(84, 212, 109, 237, 123, 251, 112, 240)(98, 226, 118, 246, 126, 254, 114, 242)(99, 227, 117, 245, 125, 253, 113, 241)(103, 231, 120, 248, 128, 256, 121, 249)(104, 232, 119, 247, 127, 255, 122, 250)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 132)(7, 146)(8, 149)(9, 151)(10, 154)(11, 131)(12, 158)(13, 161)(14, 163)(15, 133)(16, 168)(17, 171)(18, 173)(19, 176)(20, 135)(21, 180)(22, 136)(23, 139)(24, 186)(25, 181)(26, 189)(27, 138)(28, 178)(29, 183)(30, 191)(31, 195)(32, 140)(33, 197)(34, 141)(35, 143)(36, 198)(37, 182)(38, 188)(39, 193)(40, 201)(41, 204)(42, 144)(43, 206)(44, 145)(45, 148)(46, 167)(47, 157)(48, 212)(49, 147)(50, 165)(51, 207)(52, 150)(53, 166)(54, 156)(55, 211)(56, 152)(57, 215)(58, 202)(59, 219)(60, 153)(61, 155)(62, 210)(63, 160)(64, 221)(65, 208)(66, 164)(67, 227)(68, 159)(69, 162)(70, 226)(71, 209)(72, 214)(73, 170)(74, 184)(75, 179)(76, 232)(77, 169)(78, 172)(79, 231)(80, 174)(81, 235)(82, 237)(83, 175)(84, 177)(85, 230)(86, 238)(87, 229)(88, 234)(89, 185)(90, 192)(91, 242)(92, 187)(93, 241)(94, 190)(95, 200)(96, 199)(97, 245)(98, 194)(99, 196)(100, 246)(101, 217)(102, 247)(103, 203)(104, 205)(105, 225)(106, 248)(107, 224)(108, 228)(109, 222)(110, 223)(111, 213)(112, 216)(113, 218)(114, 220)(115, 251)(116, 252)(117, 249)(118, 250)(119, 239)(120, 240)(121, 233)(122, 236)(123, 255)(124, 256)(125, 243)(126, 244)(127, 253)(128, 254)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1962
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1966 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y1^4, Y1 * Y2^-1 * Y1^-1 * Y3^-1 * Y2 * Y3, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1^2 * Y2^-2 * Y1^-2, Y3 * Y2^-2 * Y1 * Y3^-1 * Y2^-2 * Y1^-1, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, (Y2 * Y1^-2 * Y2^-1 * Y1^-2)^2, Y3 * Y2 * Y1^-2 * Y2^-1 * Y1 * Y3^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 23, 151, 11, 139)(5, 133, 14, 142, 35, 163, 15, 143)(7, 135, 18, 146, 45, 173, 20, 148)(8, 136, 21, 149, 52, 180, 22, 150)(10, 138, 26, 154, 41, 169, 27, 155)(12, 140, 30, 158, 69, 197, 32, 160)(13, 141, 33, 161, 72, 200, 34, 162)(16, 144, 40, 168, 77, 205, 42, 170)(17, 145, 43, 171, 82, 210, 44, 172)(19, 147, 48, 176, 31, 159, 49, 177)(24, 152, 59, 187, 84, 212, 50, 178)(25, 153, 61, 189, 83, 211, 55, 183)(28, 156, 66, 194, 86, 214, 54, 182)(29, 157, 68, 196, 85, 213, 47, 175)(36, 164, 74, 202, 79, 207, 51, 179)(37, 165, 71, 199, 78, 206, 56, 184)(38, 166, 70, 198, 81, 209, 53, 181)(39, 167, 73, 201, 80, 208, 46, 174)(57, 185, 87, 215, 109, 237, 97, 225)(58, 186, 98, 226, 110, 238, 99, 227)(60, 188, 101, 229, 67, 195, 92, 220)(62, 190, 89, 217, 117, 245, 94, 222)(63, 191, 95, 223, 120, 248, 96, 224)(64, 192, 104, 232, 122, 250, 102, 230)(65, 193, 106, 234, 121, 249, 100, 228)(75, 203, 108, 236, 76, 204, 93, 221)(88, 216, 115, 243, 107, 235, 116, 244)(90, 218, 111, 239, 124, 252, 112, 240)(91, 219, 113, 241, 125, 253, 114, 242)(103, 231, 118, 246, 105, 233, 119, 247)(123, 251, 126, 254, 128, 256, 127, 255)(257, 385, 259, 387, 266, 394, 261, 389)(258, 386, 263, 391, 275, 403, 264, 392)(260, 388, 268, 396, 287, 415, 269, 397)(262, 390, 272, 400, 297, 425, 273, 401)(265, 393, 280, 408, 316, 444, 281, 409)(267, 395, 284, 412, 323, 451, 285, 413)(270, 398, 292, 420, 331, 459, 293, 421)(271, 399, 294, 422, 332, 460, 295, 423)(274, 402, 302, 430, 345, 473, 303, 431)(276, 404, 306, 434, 350, 478, 307, 435)(277, 405, 309, 437, 351, 479, 310, 438)(278, 406, 311, 439, 352, 480, 312, 440)(279, 407, 313, 441, 291, 419, 314, 442)(282, 410, 318, 446, 359, 487, 319, 447)(283, 411, 320, 448, 361, 489, 321, 449)(286, 414, 322, 450, 360, 488, 326, 454)(288, 416, 327, 455, 358, 486, 317, 445)(289, 417, 324, 452, 362, 490, 329, 457)(290, 418, 330, 458, 356, 484, 315, 443)(296, 424, 334, 462, 367, 495, 335, 463)(298, 426, 336, 464, 368, 496, 337, 465)(299, 427, 339, 467, 369, 497, 340, 468)(300, 428, 341, 469, 370, 498, 342, 470)(301, 429, 343, 471, 308, 436, 344, 472)(304, 432, 346, 474, 374, 502, 347, 475)(305, 433, 348, 476, 375, 503, 349, 477)(325, 453, 353, 481, 328, 456, 363, 491)(333, 461, 365, 493, 338, 466, 366, 494)(354, 482, 376, 504, 382, 510, 373, 501)(355, 483, 377, 505, 383, 511, 378, 506)(357, 485, 372, 500, 364, 492, 379, 507)(371, 499, 381, 509, 384, 512, 380, 508)
	L = (1, 260)(2, 257)(3, 267)(4, 262)(5, 271)(6, 258)(7, 276)(8, 278)(9, 259)(10, 283)(11, 279)(12, 288)(13, 290)(14, 261)(15, 291)(16, 298)(17, 300)(18, 263)(19, 305)(20, 301)(21, 264)(22, 308)(23, 265)(24, 306)(25, 311)(26, 266)(27, 297)(28, 310)(29, 303)(30, 268)(31, 304)(32, 325)(33, 269)(34, 328)(35, 270)(36, 307)(37, 312)(38, 309)(39, 302)(40, 272)(41, 282)(42, 333)(43, 273)(44, 338)(45, 274)(46, 336)(47, 341)(48, 275)(49, 287)(50, 340)(51, 335)(52, 277)(53, 337)(54, 342)(55, 339)(56, 334)(57, 353)(58, 355)(59, 280)(60, 348)(61, 281)(62, 350)(63, 352)(64, 358)(65, 356)(66, 284)(67, 357)(68, 285)(69, 286)(70, 294)(71, 293)(72, 289)(73, 295)(74, 292)(75, 349)(76, 364)(77, 296)(78, 327)(79, 330)(80, 329)(81, 326)(82, 299)(83, 317)(84, 315)(85, 324)(86, 322)(87, 313)(88, 372)(89, 318)(90, 368)(91, 370)(92, 323)(93, 332)(94, 373)(95, 319)(96, 376)(97, 365)(98, 314)(99, 366)(100, 377)(101, 316)(102, 378)(103, 375)(104, 320)(105, 374)(106, 321)(107, 371)(108, 331)(109, 343)(110, 354)(111, 346)(112, 380)(113, 347)(114, 381)(115, 344)(116, 363)(117, 345)(118, 359)(119, 361)(120, 351)(121, 362)(122, 360)(123, 383)(124, 367)(125, 369)(126, 379)(127, 384)(128, 382)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1968
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1967 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, (R * Y1)^2, (R * Y3)^2, Y2^4, Y1^4, (R * Y2 * Y3^-1)^2, (R * Y2^-2)^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, Y2 * Y1^-2 * Y2 * Y1^-2 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1^-2 * Y2 * Y1 * Y3^-1 * Y2^-1 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 23, 151, 11, 139)(5, 133, 14, 142, 33, 161, 15, 143)(7, 135, 18, 146, 39, 167, 20, 148)(8, 136, 21, 149, 44, 172, 22, 150)(10, 138, 19, 147, 35, 163, 26, 154)(12, 140, 29, 157, 53, 181, 30, 158)(13, 141, 31, 159, 56, 184, 32, 160)(16, 144, 34, 162, 57, 185, 36, 164)(17, 145, 37, 165, 62, 190, 38, 166)(24, 152, 47, 175, 73, 201, 48, 176)(25, 153, 49, 177, 76, 204, 50, 178)(27, 155, 51, 179, 65, 193, 40, 168)(28, 156, 52, 180, 66, 194, 41, 169)(42, 170, 67, 195, 85, 213, 58, 186)(43, 171, 68, 196, 86, 214, 59, 187)(45, 173, 69, 197, 83, 211, 70, 198)(46, 174, 71, 199, 84, 212, 72, 200)(54, 182, 60, 188, 87, 215, 81, 209)(55, 183, 61, 189, 88, 216, 82, 210)(63, 191, 89, 217, 79, 207, 90, 218)(64, 192, 91, 219, 80, 208, 92, 220)(74, 202, 103, 231, 111, 239, 97, 225)(75, 203, 104, 232, 112, 240, 98, 226)(77, 205, 99, 227, 109, 237, 105, 233)(78, 206, 100, 228, 110, 238, 106, 234)(93, 221, 117, 245, 101, 229, 113, 241)(94, 222, 118, 246, 102, 230, 114, 242)(95, 223, 115, 243, 107, 235, 119, 247)(96, 224, 116, 244, 108, 236, 120, 248)(121, 249, 125, 253, 123, 251, 127, 255)(122, 250, 126, 254, 124, 252, 128, 256)(257, 385, 259, 387, 266, 394, 261, 389)(258, 386, 263, 391, 275, 403, 264, 392)(260, 388, 268, 396, 282, 410, 269, 397)(262, 390, 272, 400, 291, 419, 273, 401)(265, 393, 280, 408, 270, 398, 281, 409)(267, 395, 283, 411, 271, 399, 284, 412)(274, 402, 296, 424, 277, 405, 297, 425)(276, 404, 298, 426, 278, 406, 299, 427)(279, 407, 301, 429, 289, 417, 302, 430)(285, 413, 310, 438, 287, 415, 311, 439)(286, 414, 303, 431, 288, 416, 305, 433)(290, 418, 314, 442, 293, 421, 315, 443)(292, 420, 316, 444, 294, 422, 317, 445)(295, 423, 319, 447, 300, 428, 320, 448)(304, 432, 330, 458, 306, 434, 331, 459)(307, 435, 333, 461, 308, 436, 334, 462)(309, 437, 335, 463, 312, 440, 336, 464)(313, 441, 339, 467, 318, 446, 340, 468)(321, 449, 349, 477, 322, 450, 350, 478)(323, 451, 351, 479, 324, 452, 352, 480)(325, 453, 353, 481, 327, 455, 354, 482)(326, 454, 355, 483, 328, 456, 356, 484)(329, 457, 357, 485, 332, 460, 358, 486)(337, 465, 363, 491, 338, 466, 364, 492)(341, 469, 365, 493, 342, 470, 366, 494)(343, 471, 367, 495, 344, 472, 368, 496)(345, 473, 369, 497, 347, 475, 370, 498)(346, 474, 371, 499, 348, 476, 372, 500)(359, 487, 377, 505, 360, 488, 378, 506)(361, 489, 379, 507, 362, 490, 380, 508)(373, 501, 381, 509, 374, 502, 382, 510)(375, 503, 383, 511, 376, 504, 384, 512)
	L = (1, 260)(2, 257)(3, 267)(4, 262)(5, 271)(6, 258)(7, 276)(8, 278)(9, 259)(10, 282)(11, 279)(12, 286)(13, 288)(14, 261)(15, 289)(16, 292)(17, 294)(18, 263)(19, 266)(20, 295)(21, 264)(22, 300)(23, 265)(24, 304)(25, 306)(26, 291)(27, 296)(28, 297)(29, 268)(30, 309)(31, 269)(32, 312)(33, 270)(34, 272)(35, 275)(36, 313)(37, 273)(38, 318)(39, 274)(40, 321)(41, 322)(42, 314)(43, 315)(44, 277)(45, 326)(46, 328)(47, 280)(48, 329)(49, 281)(50, 332)(51, 283)(52, 284)(53, 285)(54, 337)(55, 338)(56, 287)(57, 290)(58, 341)(59, 342)(60, 310)(61, 311)(62, 293)(63, 346)(64, 348)(65, 307)(66, 308)(67, 298)(68, 299)(69, 301)(70, 339)(71, 302)(72, 340)(73, 303)(74, 353)(75, 354)(76, 305)(77, 361)(78, 362)(79, 345)(80, 347)(81, 343)(82, 344)(83, 325)(84, 327)(85, 323)(86, 324)(87, 316)(88, 317)(89, 319)(90, 335)(91, 320)(92, 336)(93, 369)(94, 370)(95, 375)(96, 376)(97, 367)(98, 368)(99, 333)(100, 334)(101, 373)(102, 374)(103, 330)(104, 331)(105, 365)(106, 366)(107, 371)(108, 372)(109, 355)(110, 356)(111, 359)(112, 360)(113, 357)(114, 358)(115, 351)(116, 352)(117, 349)(118, 350)(119, 363)(120, 364)(121, 383)(122, 384)(123, 381)(124, 382)(125, 377)(126, 378)(127, 379)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1969
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1968 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^2 * Y2^-2 * Y3^-2 * Y2^-2, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4, (Y2^-1 * Y3^-1)^4, (Y3 * Y2^-1 * Y3^-1 * Y2^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1, Y3^-1 * Y2^2 * Y3 * Y2^2 * Y3^-1 * Y2^2 * Y3 * Y2^-2 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386, 262, 390, 260, 388)(259, 387, 265, 393, 279, 407, 267, 395)(261, 389, 270, 398, 291, 419, 271, 399)(263, 391, 274, 402, 301, 429, 276, 404)(264, 392, 277, 405, 308, 436, 278, 406)(266, 394, 282, 410, 297, 425, 283, 411)(268, 396, 286, 414, 325, 453, 288, 416)(269, 397, 289, 417, 328, 456, 290, 418)(272, 400, 296, 424, 333, 461, 298, 426)(273, 401, 299, 427, 338, 466, 300, 428)(275, 403, 304, 432, 287, 415, 305, 433)(280, 408, 315, 443, 340, 468, 306, 434)(281, 409, 317, 445, 339, 467, 311, 439)(284, 412, 322, 450, 342, 470, 310, 438)(285, 413, 324, 452, 341, 469, 303, 431)(292, 420, 330, 458, 335, 463, 307, 435)(293, 421, 327, 455, 334, 462, 312, 440)(294, 422, 326, 454, 337, 465, 309, 437)(295, 423, 329, 457, 336, 464, 302, 430)(313, 441, 343, 471, 365, 493, 353, 481)(314, 442, 354, 482, 366, 494, 355, 483)(316, 444, 357, 485, 323, 451, 348, 476)(318, 446, 345, 473, 373, 501, 350, 478)(319, 447, 351, 479, 376, 504, 352, 480)(320, 448, 360, 488, 378, 506, 358, 486)(321, 449, 362, 490, 377, 505, 356, 484)(331, 459, 364, 492, 332, 460, 349, 477)(344, 472, 371, 499, 363, 491, 372, 500)(346, 474, 367, 495, 380, 508, 368, 496)(347, 475, 369, 497, 381, 509, 370, 498)(359, 487, 374, 502, 361, 489, 375, 503)(379, 507, 382, 510, 384, 512, 383, 511)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 272)(7, 275)(8, 258)(9, 280)(10, 261)(11, 284)(12, 287)(13, 260)(14, 292)(15, 294)(16, 297)(17, 262)(18, 302)(19, 264)(20, 306)(21, 309)(22, 311)(23, 313)(24, 316)(25, 265)(26, 318)(27, 320)(28, 323)(29, 267)(30, 322)(31, 269)(32, 327)(33, 324)(34, 330)(35, 314)(36, 331)(37, 270)(38, 332)(39, 271)(40, 334)(41, 273)(42, 336)(43, 339)(44, 341)(45, 343)(46, 345)(47, 274)(48, 346)(49, 348)(50, 350)(51, 276)(52, 344)(53, 351)(54, 277)(55, 352)(56, 278)(57, 291)(58, 279)(59, 290)(60, 281)(61, 288)(62, 359)(63, 282)(64, 361)(65, 283)(66, 360)(67, 285)(68, 362)(69, 353)(70, 286)(71, 358)(72, 363)(73, 289)(74, 356)(75, 293)(76, 295)(77, 365)(78, 367)(79, 296)(80, 368)(81, 298)(82, 366)(83, 369)(84, 299)(85, 370)(86, 300)(87, 308)(88, 301)(89, 303)(90, 374)(91, 304)(92, 375)(93, 305)(94, 307)(95, 310)(96, 312)(97, 328)(98, 376)(99, 377)(100, 315)(101, 372)(102, 317)(103, 319)(104, 326)(105, 321)(106, 329)(107, 325)(108, 379)(109, 338)(110, 333)(111, 335)(112, 337)(113, 340)(114, 342)(115, 381)(116, 364)(117, 354)(118, 347)(119, 349)(120, 382)(121, 383)(122, 355)(123, 357)(124, 371)(125, 384)(126, 373)(127, 378)(128, 380)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1966
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1969 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = $<128, 125>$ (small group id <128, 125>)
Aut   = $<256, 6331>$ (small group id <256, 6331>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y3^-2 * Y2 * Y3^-2, Y2^-1 * Y3 * R * Y2^2 * Y3 * R * Y2^-1, (Y3 * Y2^-1)^4, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1 * Y2^-1 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386, 262, 390, 260, 388)(259, 387, 265, 393, 279, 407, 267, 395)(261, 389, 270, 398, 289, 417, 271, 399)(263, 391, 274, 402, 295, 423, 276, 404)(264, 392, 277, 405, 300, 428, 278, 406)(266, 394, 275, 403, 291, 419, 282, 410)(268, 396, 285, 413, 309, 437, 286, 414)(269, 397, 287, 415, 312, 440, 288, 416)(272, 400, 290, 418, 313, 441, 292, 420)(273, 401, 293, 421, 318, 446, 294, 422)(280, 408, 303, 431, 329, 457, 304, 432)(281, 409, 305, 433, 332, 460, 306, 434)(283, 411, 307, 435, 321, 449, 296, 424)(284, 412, 308, 436, 322, 450, 297, 425)(298, 426, 323, 451, 341, 469, 314, 442)(299, 427, 324, 452, 342, 470, 315, 443)(301, 429, 325, 453, 339, 467, 326, 454)(302, 430, 327, 455, 340, 468, 328, 456)(310, 438, 316, 444, 343, 471, 337, 465)(311, 439, 317, 445, 344, 472, 338, 466)(319, 447, 345, 473, 335, 463, 346, 474)(320, 448, 347, 475, 336, 464, 348, 476)(330, 458, 359, 487, 367, 495, 353, 481)(331, 459, 360, 488, 368, 496, 354, 482)(333, 461, 355, 483, 365, 493, 361, 489)(334, 462, 356, 484, 366, 494, 362, 490)(349, 477, 373, 501, 357, 485, 369, 497)(350, 478, 374, 502, 358, 486, 370, 498)(351, 479, 371, 499, 363, 491, 375, 503)(352, 480, 372, 500, 364, 492, 376, 504)(377, 505, 381, 509, 379, 507, 383, 511)(378, 506, 382, 510, 380, 508, 384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 272)(7, 275)(8, 258)(9, 280)(10, 261)(11, 283)(12, 282)(13, 260)(14, 281)(15, 284)(16, 291)(17, 262)(18, 296)(19, 264)(20, 298)(21, 297)(22, 299)(23, 301)(24, 270)(25, 265)(26, 269)(27, 271)(28, 267)(29, 310)(30, 303)(31, 311)(32, 305)(33, 302)(34, 314)(35, 273)(36, 316)(37, 315)(38, 317)(39, 319)(40, 277)(41, 274)(42, 278)(43, 276)(44, 320)(45, 289)(46, 279)(47, 288)(48, 330)(49, 286)(50, 331)(51, 333)(52, 334)(53, 335)(54, 287)(55, 285)(56, 336)(57, 339)(58, 293)(59, 290)(60, 294)(61, 292)(62, 340)(63, 300)(64, 295)(65, 349)(66, 350)(67, 351)(68, 352)(69, 353)(70, 355)(71, 354)(72, 356)(73, 357)(74, 306)(75, 304)(76, 358)(77, 308)(78, 307)(79, 312)(80, 309)(81, 363)(82, 364)(83, 318)(84, 313)(85, 365)(86, 366)(87, 367)(88, 368)(89, 369)(90, 371)(91, 370)(92, 372)(93, 322)(94, 321)(95, 324)(96, 323)(97, 327)(98, 325)(99, 328)(100, 326)(101, 332)(102, 329)(103, 377)(104, 378)(105, 379)(106, 380)(107, 338)(108, 337)(109, 342)(110, 341)(111, 344)(112, 343)(113, 347)(114, 345)(115, 348)(116, 346)(117, 381)(118, 382)(119, 383)(120, 384)(121, 360)(122, 359)(123, 362)(124, 361)(125, 374)(126, 373)(127, 376)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1967
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1970 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<128, 144>$ (small group id <128, 144>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X1 * X2^2 * X1^-2 * X2^2 * X1, (X2^-1 * X1^-1)^4, (X2 * X1^-1)^4, X2 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, (X2 * X1^-1 * X2^-1 * X1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 35, 15)(7, 18, 45, 20)(8, 21, 52, 22)(10, 26, 41, 27)(12, 30, 69, 32)(13, 33, 72, 34)(16, 40, 77, 42)(17, 43, 82, 44)(19, 48, 31, 49)(24, 59, 79, 51)(25, 61, 78, 56)(28, 66, 85, 54)(29, 68, 86, 47)(36, 74, 84, 50)(37, 71, 83, 55)(38, 73, 80, 53)(39, 70, 81, 46)(57, 97, 121, 98)(58, 87, 115, 99)(60, 101, 67, 92)(62, 89, 117, 94)(63, 95, 120, 96)(64, 104, 122, 102)(65, 106, 123, 100)(75, 108, 76, 93)(88, 109, 125, 116)(90, 111, 127, 112)(91, 113, 128, 114)(103, 118, 105, 119)(107, 124, 126, 110)(129, 131, 138, 133)(130, 135, 147, 136)(132, 140, 159, 141)(134, 144, 169, 145)(137, 152, 188, 153)(139, 156, 195, 157)(142, 164, 203, 165)(143, 166, 204, 167)(146, 174, 217, 175)(148, 178, 222, 179)(149, 181, 223, 182)(150, 183, 224, 184)(151, 185, 163, 186)(154, 190, 231, 191)(155, 192, 233, 193)(158, 196, 232, 198)(160, 199, 230, 189)(161, 194, 234, 201)(162, 202, 228, 187)(168, 206, 239, 207)(170, 208, 240, 209)(171, 211, 241, 212)(172, 213, 242, 214)(173, 215, 180, 216)(176, 218, 246, 219)(177, 220, 247, 221)(197, 235, 200, 226)(205, 237, 210, 238)(225, 248, 254, 245)(227, 250, 253, 251)(229, 252, 236, 244)(243, 256, 249, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1971 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<128, 144>$ (small group id <128, 144>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X1 * X2^2 * X1^-2 * X2^2 * X1, (X2^-1 * X1^-1)^4, (X2 * X1^-1)^4, X2 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, (X2 * X1^-1 * X2^-1 * X1^-1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 23, 151, 11, 139)(5, 133, 14, 142, 35, 163, 15, 143)(7, 135, 18, 146, 45, 173, 20, 148)(8, 136, 21, 149, 52, 180, 22, 150)(10, 138, 26, 154, 41, 169, 27, 155)(12, 140, 30, 158, 69, 197, 32, 160)(13, 141, 33, 161, 72, 200, 34, 162)(16, 144, 40, 168, 77, 205, 42, 170)(17, 145, 43, 171, 82, 210, 44, 172)(19, 147, 48, 176, 31, 159, 49, 177)(24, 152, 59, 187, 79, 207, 51, 179)(25, 153, 61, 189, 78, 206, 56, 184)(28, 156, 66, 194, 85, 213, 54, 182)(29, 157, 68, 196, 86, 214, 47, 175)(36, 164, 74, 202, 84, 212, 50, 178)(37, 165, 71, 199, 83, 211, 55, 183)(38, 166, 73, 201, 80, 208, 53, 181)(39, 167, 70, 198, 81, 209, 46, 174)(57, 185, 97, 225, 121, 249, 98, 226)(58, 186, 87, 215, 115, 243, 99, 227)(60, 188, 101, 229, 67, 195, 92, 220)(62, 190, 89, 217, 117, 245, 94, 222)(63, 191, 95, 223, 120, 248, 96, 224)(64, 192, 104, 232, 122, 250, 102, 230)(65, 193, 106, 234, 123, 251, 100, 228)(75, 203, 108, 236, 76, 204, 93, 221)(88, 216, 109, 237, 125, 253, 116, 244)(90, 218, 111, 239, 127, 255, 112, 240)(91, 219, 113, 241, 128, 256, 114, 242)(103, 231, 118, 246, 105, 233, 119, 247)(107, 235, 124, 252, 126, 254, 110, 238)
	L = (1, 131)(2, 135)(3, 138)(4, 140)(5, 129)(6, 144)(7, 147)(8, 130)(9, 152)(10, 133)(11, 156)(12, 159)(13, 132)(14, 164)(15, 166)(16, 169)(17, 134)(18, 174)(19, 136)(20, 178)(21, 181)(22, 183)(23, 185)(24, 188)(25, 137)(26, 190)(27, 192)(28, 195)(29, 139)(30, 196)(31, 141)(32, 199)(33, 194)(34, 202)(35, 186)(36, 203)(37, 142)(38, 204)(39, 143)(40, 206)(41, 145)(42, 208)(43, 211)(44, 213)(45, 215)(46, 217)(47, 146)(48, 218)(49, 220)(50, 222)(51, 148)(52, 216)(53, 223)(54, 149)(55, 224)(56, 150)(57, 163)(58, 151)(59, 162)(60, 153)(61, 160)(62, 231)(63, 154)(64, 233)(65, 155)(66, 234)(67, 157)(68, 232)(69, 235)(70, 158)(71, 230)(72, 226)(73, 161)(74, 228)(75, 165)(76, 167)(77, 237)(78, 239)(79, 168)(80, 240)(81, 170)(82, 238)(83, 241)(84, 171)(85, 242)(86, 172)(87, 180)(88, 173)(89, 175)(90, 246)(91, 176)(92, 247)(93, 177)(94, 179)(95, 182)(96, 184)(97, 248)(98, 197)(99, 250)(100, 187)(101, 252)(102, 189)(103, 191)(104, 198)(105, 193)(106, 201)(107, 200)(108, 244)(109, 210)(110, 205)(111, 207)(112, 209)(113, 212)(114, 214)(115, 256)(116, 229)(117, 225)(118, 219)(119, 221)(120, 254)(121, 255)(122, 253)(123, 227)(124, 236)(125, 251)(126, 245)(127, 243)(128, 249)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1972 :: Family: { 2*ex } :: Oriented family(ies): { E3c }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<256, 511>$ (small group id <256, 511>)
|r| :: 2
Presentation :: [ F^2, T1^4, F * T1 * F * T2, T2^4, T2^-2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2, (T2 * T1 * T2 * T1^-1)^2, (T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 31, 13)(6, 16, 41, 17)(9, 24, 60, 25)(11, 28, 66, 29)(14, 36, 52, 37)(15, 38, 77, 39)(18, 46, 90, 47)(20, 50, 94, 51)(21, 53, 83, 54)(22, 55, 98, 56)(23, 57, 99, 58)(26, 62, 95, 63)(27, 42, 82, 64)(30, 69, 104, 61)(32, 71, 93, 49)(33, 73, 35, 65)(34, 74, 101, 59)(40, 79, 111, 80)(43, 84, 72, 85)(44, 86, 116, 87)(45, 88, 117, 89)(48, 91, 114, 92)(67, 106, 70, 103)(68, 107, 119, 97)(75, 102, 122, 109)(76, 78, 110, 105)(81, 112, 100, 113)(96, 118, 126, 120)(108, 123, 127, 121)(115, 124, 128, 125)(129, 130, 134, 132)(131, 137, 151, 139)(133, 142, 163, 143)(135, 146, 173, 148)(136, 149, 180, 150)(138, 154, 189, 155)(140, 158, 196, 160)(141, 161, 200, 162)(144, 168, 206, 170)(145, 171, 211, 172)(147, 176, 153, 177)(152, 187, 207, 184)(156, 193, 217, 195)(157, 169, 209, 175)(159, 198, 208, 179)(164, 202, 235, 203)(165, 204, 223, 178)(166, 185, 224, 181)(167, 197, 215, 174)(182, 225, 242, 210)(183, 216, 243, 212)(186, 228, 199, 213)(188, 230, 191, 231)(190, 218, 246, 220)(192, 227, 249, 229)(194, 233, 248, 226)(201, 214, 238, 236)(205, 221, 245, 237)(219, 239, 252, 241)(222, 247, 253, 244)(232, 251, 234, 240)(250, 254, 256, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1973
Transitivity :: ET+ VT AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1973 :: Family: { 2ex } :: Oriented family(ies): { E3*c }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<256, 511>$ (small group id <256, 511>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, T1^4, T2^4, F * T1 * T2 * F * T1^-1, T1 * T2^2 * T1^-2 * T2^2 * T1, (T1^-1 * T2 * T1^-1 * T2^-1)^2, (T2^-1 * T1^-1)^4, (T2 * T1^-1)^4, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1 * F * T1^-1 * T2^-1 * T1 * F * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131, 10, 138, 5, 133)(2, 130, 7, 135, 19, 147, 8, 136)(4, 132, 12, 140, 31, 159, 13, 141)(6, 134, 16, 144, 41, 169, 17, 145)(9, 137, 24, 152, 60, 188, 25, 153)(11, 139, 28, 156, 67, 195, 29, 157)(14, 142, 36, 164, 75, 203, 37, 165)(15, 143, 38, 166, 76, 204, 39, 167)(18, 146, 46, 174, 89, 217, 47, 175)(20, 148, 50, 178, 94, 222, 51, 179)(21, 149, 53, 181, 95, 223, 54, 182)(22, 150, 55, 183, 96, 224, 56, 184)(23, 151, 57, 185, 35, 163, 58, 186)(26, 154, 62, 190, 103, 231, 63, 191)(27, 155, 64, 192, 105, 233, 65, 193)(30, 158, 68, 196, 104, 232, 70, 198)(32, 160, 71, 199, 102, 230, 61, 189)(33, 161, 66, 194, 106, 234, 73, 201)(34, 162, 74, 202, 100, 228, 59, 187)(40, 168, 78, 206, 111, 239, 79, 207)(42, 170, 80, 208, 112, 240, 81, 209)(43, 171, 83, 211, 113, 241, 84, 212)(44, 172, 85, 213, 114, 242, 86, 214)(45, 173, 87, 215, 52, 180, 88, 216)(48, 176, 90, 218, 118, 246, 91, 219)(49, 177, 92, 220, 119, 247, 93, 221)(69, 197, 107, 235, 72, 200, 98, 226)(77, 205, 109, 237, 82, 210, 110, 238)(97, 225, 120, 248, 126, 254, 117, 245)(99, 227, 122, 250, 125, 253, 123, 251)(101, 229, 124, 252, 108, 236, 116, 244)(115, 243, 128, 256, 121, 249, 127, 255)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 132)(7, 146)(8, 149)(9, 151)(10, 154)(11, 131)(12, 158)(13, 161)(14, 163)(15, 133)(16, 168)(17, 171)(18, 173)(19, 176)(20, 135)(21, 180)(22, 136)(23, 139)(24, 187)(25, 189)(26, 169)(27, 138)(28, 194)(29, 196)(30, 197)(31, 177)(32, 140)(33, 200)(34, 141)(35, 143)(36, 202)(37, 199)(38, 201)(39, 198)(40, 205)(41, 155)(42, 144)(43, 210)(44, 145)(45, 148)(46, 167)(47, 157)(48, 159)(49, 147)(50, 164)(51, 152)(52, 150)(53, 166)(54, 156)(55, 165)(56, 153)(57, 225)(58, 215)(59, 207)(60, 229)(61, 206)(62, 217)(63, 223)(64, 232)(65, 234)(66, 213)(67, 220)(68, 214)(69, 160)(70, 209)(71, 211)(72, 162)(73, 208)(74, 212)(75, 236)(76, 221)(77, 170)(78, 184)(79, 179)(80, 181)(81, 174)(82, 172)(83, 183)(84, 178)(85, 182)(86, 175)(87, 243)(88, 237)(89, 245)(90, 239)(91, 241)(92, 188)(93, 203)(94, 190)(95, 248)(96, 191)(97, 249)(98, 185)(99, 186)(100, 193)(101, 195)(102, 192)(103, 246)(104, 250)(105, 247)(106, 251)(107, 252)(108, 204)(109, 253)(110, 235)(111, 255)(112, 218)(113, 256)(114, 219)(115, 227)(116, 216)(117, 222)(118, 233)(119, 231)(120, 224)(121, 226)(122, 230)(123, 228)(124, 254)(125, 244)(126, 238)(127, 240)(128, 242)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1972
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1974 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4})
Quotient :: edge^2
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<256, 511>$ (small group id <256, 511>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y1^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y3^4, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, (Y2^-1 * Y1 * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, (Y3^-1 * Y1 * Y2^-1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 4, 132, 17, 145, 7, 135)(2, 130, 9, 137, 32, 160, 11, 139)(3, 131, 5, 133, 21, 149, 15, 143)(6, 134, 24, 152, 71, 199, 25, 153)(8, 136, 29, 157, 59, 187, 20, 148)(10, 138, 36, 164, 52, 180, 37, 165)(12, 140, 42, 170, 98, 226, 44, 172)(13, 141, 14, 142, 48, 176, 46, 174)(16, 144, 18, 146, 57, 185, 53, 181)(19, 147, 60, 188, 113, 241, 61, 189)(22, 150, 68, 196, 110, 238, 58, 186)(23, 151, 69, 197, 75, 203, 56, 184)(26, 154, 76, 204, 122, 250, 77, 205)(27, 155, 28, 156, 79, 207, 78, 206)(30, 158, 49, 177, 84, 212, 83, 211)(31, 159, 33, 161, 74, 202, 85, 213)(34, 162, 87, 215, 107, 235, 51, 179)(35, 163, 88, 216, 92, 220, 70, 198)(38, 166, 93, 221, 112, 240, 94, 222)(39, 167, 40, 168, 72, 200, 95, 223)(41, 169, 96, 224, 67, 195, 47, 175)(43, 171, 100, 228, 63, 191, 64, 192)(45, 173, 101, 229, 115, 243, 62, 190)(50, 178, 106, 234, 125, 253, 86, 214)(54, 182, 55, 183, 109, 237, 108, 236)(65, 193, 66, 194, 118, 246, 117, 245)(73, 201, 121, 249, 123, 251, 97, 225)(80, 208, 81, 209, 91, 219, 124, 252)(82, 210, 116, 244, 114, 242, 89, 217)(90, 218, 127, 255, 128, 256, 111, 239)(99, 227, 126, 254, 119, 247, 103, 231)(102, 230, 120, 248, 104, 232, 105, 233)(257, 258, 264, 261)(259, 268, 297, 270)(260, 262, 279, 274)(263, 282, 331, 284)(265, 266, 291, 289)(267, 294, 348, 296)(269, 301, 328, 280)(271, 306, 288, 290)(272, 300, 347, 293)(273, 275, 315, 311)(276, 318, 370, 320)(277, 278, 323, 322)(281, 321, 371, 330)(283, 298, 299, 292)(285, 286, 338, 337)(287, 333, 374, 339)(295, 332, 304, 305)(302, 310, 354, 355)(303, 312, 367, 361)(307, 357, 358, 356)(308, 346, 341, 316)(309, 362, 327, 329)(313, 314, 336, 350)(317, 368, 384, 351)(319, 349, 335, 324)(325, 326, 376, 359)(334, 342, 378, 379)(340, 360, 380, 343)(344, 345, 382, 377)(352, 353, 383, 372)(363, 364, 381, 369)(365, 366, 375, 373)(385, 387, 397, 390)(386, 391, 411, 394)(388, 400, 436, 403)(389, 404, 447, 406)(392, 395, 423, 414)(393, 415, 468, 418)(396, 399, 435, 427)(398, 431, 488, 433)(401, 438, 432, 410)(402, 440, 451, 442)(405, 449, 455, 434)(407, 409, 417, 454)(408, 424, 472, 457)(412, 453, 503, 452)(413, 464, 494, 439)(416, 470, 463, 422)(419, 421, 465, 473)(420, 448, 500, 474)(425, 428, 437, 481)(426, 462, 505, 483)(429, 430, 487, 486)(441, 496, 497, 490)(443, 445, 456, 446)(444, 458, 485, 491)(450, 480, 466, 467)(459, 461, 469, 495)(460, 479, 511, 507)(471, 475, 482, 492)(476, 478, 508, 504)(477, 484, 489, 512)(493, 502, 506, 509)(498, 499, 501, 510)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1977
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.1975 :: Family: { 4 } :: Oriented family(ies): { E4 }
Signature :: (0; {4, 4, 4})
Quotient :: edge^2
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<256, 511>$ (small group id <256, 511>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y1^-1 * Y2^-1 * Y1 * Y2^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 258, 262, 260)(259, 265, 279, 267)(261, 270, 291, 271)(263, 274, 301, 276)(264, 277, 308, 278)(266, 282, 317, 283)(268, 286, 324, 288)(269, 289, 328, 290)(272, 296, 334, 298)(273, 299, 339, 300)(275, 304, 281, 305)(280, 315, 335, 312)(284, 321, 345, 323)(285, 297, 337, 303)(287, 326, 336, 307)(292, 330, 363, 331)(293, 332, 351, 306)(294, 313, 352, 309)(295, 325, 343, 302)(310, 353, 370, 338)(311, 344, 371, 340)(314, 356, 327, 341)(316, 358, 319, 359)(318, 346, 374, 348)(320, 355, 377, 357)(322, 361, 376, 354)(329, 342, 366, 364)(333, 349, 373, 365)(347, 367, 380, 369)(350, 375, 381, 372)(360, 379, 362, 368)(378, 382, 384, 383)(385, 387, 394, 389)(386, 391, 403, 392)(388, 396, 415, 397)(390, 400, 425, 401)(393, 408, 444, 409)(395, 412, 450, 413)(398, 420, 436, 421)(399, 422, 461, 423)(402, 430, 474, 431)(404, 434, 478, 435)(405, 437, 467, 438)(406, 439, 482, 440)(407, 441, 483, 442)(410, 446, 479, 447)(411, 426, 466, 448)(414, 453, 488, 445)(416, 455, 477, 433)(417, 457, 419, 449)(418, 458, 485, 443)(424, 463, 495, 464)(427, 468, 456, 469)(428, 470, 500, 471)(429, 472, 501, 473)(432, 475, 498, 476)(451, 490, 454, 487)(452, 491, 503, 481)(459, 486, 506, 493)(460, 462, 494, 489)(465, 496, 484, 497)(480, 502, 510, 504)(492, 507, 511, 505)(499, 508, 512, 509)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1976
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1976 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4})
Quotient :: loop^2
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<256, 511>$ (small group id <256, 511>)
|r| :: 2
Presentation :: [ R^2, Y1^-1 * Y3^-1 * Y2^-1, Y1^4, Y1^4, R * Y2 * R * Y1, (R * Y3)^2, Y2^4, Y3^4, Y3 * Y2 * Y1 * Y3 * Y1^-1 * Y2^-1, (Y2^-1 * Y1 * Y3)^2, Y3 * Y1^-1 * Y2^-1 * Y3 * Y2 * Y1, (Y3^-1 * Y1 * Y2^-1)^2, Y2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y3^-1, (Y3 * Y2^-1)^4, (Y3 * Y1^-1)^4 ]
Map::
	R = (1, 129, 257, 385, 4, 132, 260, 388, 17, 145, 273, 401, 7, 135, 263, 391)(2, 130, 258, 386, 9, 137, 265, 393, 32, 160, 288, 416, 11, 139, 267, 395)(3, 131, 259, 387, 5, 133, 261, 389, 21, 149, 277, 405, 15, 143, 271, 399)(6, 134, 262, 390, 24, 152, 280, 408, 71, 199, 327, 455, 25, 153, 281, 409)(8, 136, 264, 392, 29, 157, 285, 413, 59, 187, 315, 443, 20, 148, 276, 404)(10, 138, 266, 394, 36, 164, 292, 420, 52, 180, 308, 436, 37, 165, 293, 421)(12, 140, 268, 396, 42, 170, 298, 426, 98, 226, 354, 482, 44, 172, 300, 428)(13, 141, 269, 397, 14, 142, 270, 398, 48, 176, 304, 432, 46, 174, 302, 430)(16, 144, 272, 400, 18, 146, 274, 402, 57, 185, 313, 441, 53, 181, 309, 437)(19, 147, 275, 403, 60, 188, 316, 444, 113, 241, 369, 497, 61, 189, 317, 445)(22, 150, 278, 406, 68, 196, 324, 452, 110, 238, 366, 494, 58, 186, 314, 442)(23, 151, 279, 407, 69, 197, 325, 453, 75, 203, 331, 459, 56, 184, 312, 440)(26, 154, 282, 410, 76, 204, 332, 460, 122, 250, 378, 506, 77, 205, 333, 461)(27, 155, 283, 411, 28, 156, 284, 412, 79, 207, 335, 463, 78, 206, 334, 462)(30, 158, 286, 414, 49, 177, 305, 433, 84, 212, 340, 468, 83, 211, 339, 467)(31, 159, 287, 415, 33, 161, 289, 417, 74, 202, 330, 458, 85, 213, 341, 469)(34, 162, 290, 418, 87, 215, 343, 471, 107, 235, 363, 491, 51, 179, 307, 435)(35, 163, 291, 419, 88, 216, 344, 472, 92, 220, 348, 476, 70, 198, 326, 454)(38, 166, 294, 422, 93, 221, 349, 477, 112, 240, 368, 496, 94, 222, 350, 478)(39, 167, 295, 423, 40, 168, 296, 424, 72, 200, 328, 456, 95, 223, 351, 479)(41, 169, 297, 425, 96, 224, 352, 480, 67, 195, 323, 451, 47, 175, 303, 431)(43, 171, 299, 427, 100, 228, 356, 484, 63, 191, 319, 447, 64, 192, 320, 448)(45, 173, 301, 429, 101, 229, 357, 485, 115, 243, 371, 499, 62, 190, 318, 446)(50, 178, 306, 434, 106, 234, 362, 490, 125, 253, 381, 509, 86, 214, 342, 470)(54, 182, 310, 438, 55, 183, 311, 439, 109, 237, 365, 493, 108, 236, 364, 492)(65, 193, 321, 449, 66, 194, 322, 450, 118, 246, 374, 502, 117, 245, 373, 501)(73, 201, 329, 457, 121, 249, 377, 505, 123, 251, 379, 507, 97, 225, 353, 481)(80, 208, 336, 464, 81, 209, 337, 465, 91, 219, 347, 475, 124, 252, 380, 508)(82, 210, 338, 466, 116, 244, 372, 500, 114, 242, 370, 498, 89, 217, 345, 473)(90, 218, 346, 474, 127, 255, 383, 511, 128, 256, 384, 512, 111, 239, 367, 495)(99, 227, 355, 483, 126, 254, 382, 510, 119, 247, 375, 503, 103, 231, 359, 487)(102, 230, 358, 486, 120, 248, 376, 504, 104, 232, 360, 488, 105, 233, 361, 489)
	L = (1, 130)(2, 136)(3, 140)(4, 134)(5, 129)(6, 151)(7, 154)(8, 133)(9, 138)(10, 163)(11, 166)(12, 169)(13, 173)(14, 131)(15, 178)(16, 172)(17, 147)(18, 132)(19, 187)(20, 190)(21, 150)(22, 195)(23, 146)(24, 141)(25, 193)(26, 203)(27, 170)(28, 135)(29, 158)(30, 210)(31, 205)(32, 162)(33, 137)(34, 143)(35, 161)(36, 155)(37, 144)(38, 220)(39, 204)(40, 139)(41, 142)(42, 171)(43, 164)(44, 219)(45, 200)(46, 182)(47, 184)(48, 177)(49, 167)(50, 160)(51, 229)(52, 218)(53, 234)(54, 226)(55, 145)(56, 239)(57, 186)(58, 208)(59, 183)(60, 180)(61, 240)(62, 242)(63, 221)(64, 148)(65, 243)(66, 149)(67, 194)(68, 191)(69, 198)(70, 248)(71, 201)(72, 152)(73, 181)(74, 153)(75, 156)(76, 176)(77, 246)(78, 214)(79, 196)(80, 222)(81, 157)(82, 209)(83, 159)(84, 232)(85, 188)(86, 250)(87, 212)(88, 217)(89, 254)(90, 213)(91, 165)(92, 168)(93, 207)(94, 185)(95, 189)(96, 225)(97, 255)(98, 227)(99, 174)(100, 179)(101, 230)(102, 228)(103, 197)(104, 252)(105, 175)(106, 199)(107, 236)(108, 253)(109, 238)(110, 247)(111, 233)(112, 256)(113, 235)(114, 192)(115, 202)(116, 224)(117, 237)(118, 211)(119, 245)(120, 231)(121, 216)(122, 251)(123, 206)(124, 215)(125, 241)(126, 249)(127, 244)(128, 223)(257, 387)(258, 391)(259, 397)(260, 400)(261, 404)(262, 385)(263, 411)(264, 395)(265, 415)(266, 386)(267, 423)(268, 399)(269, 390)(270, 431)(271, 435)(272, 436)(273, 438)(274, 440)(275, 388)(276, 447)(277, 449)(278, 389)(279, 409)(280, 424)(281, 417)(282, 401)(283, 394)(284, 453)(285, 464)(286, 392)(287, 468)(288, 470)(289, 454)(290, 393)(291, 421)(292, 448)(293, 465)(294, 416)(295, 414)(296, 472)(297, 428)(298, 462)(299, 396)(300, 437)(301, 430)(302, 487)(303, 488)(304, 410)(305, 398)(306, 405)(307, 427)(308, 403)(309, 481)(310, 432)(311, 413)(312, 451)(313, 496)(314, 402)(315, 445)(316, 458)(317, 456)(318, 443)(319, 406)(320, 500)(321, 455)(322, 480)(323, 442)(324, 412)(325, 503)(326, 407)(327, 434)(328, 446)(329, 408)(330, 485)(331, 461)(332, 479)(333, 469)(334, 505)(335, 422)(336, 494)(337, 473)(338, 467)(339, 450)(340, 418)(341, 495)(342, 463)(343, 475)(344, 457)(345, 419)(346, 420)(347, 482)(348, 478)(349, 484)(350, 508)(351, 511)(352, 466)(353, 425)(354, 492)(355, 426)(356, 489)(357, 491)(358, 429)(359, 486)(360, 433)(361, 512)(362, 441)(363, 444)(364, 471)(365, 502)(366, 439)(367, 459)(368, 497)(369, 490)(370, 499)(371, 501)(372, 474)(373, 510)(374, 506)(375, 452)(376, 476)(377, 483)(378, 509)(379, 460)(380, 504)(381, 493)(382, 498)(383, 507)(384, 477)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1975
Transitivity :: VT+
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1977 :: Family: { 4* } :: Oriented family(ies): { E4* }
Signature :: (0; {4, 4, 4})
Quotient :: loop^2
Aut^+ = $<128, 144>$ (small group id <128, 144>)
Aut   = $<256, 511>$ (small group id <256, 511>)
|r| :: 2
Presentation :: [ Y3, R^2, Y1^4, Y2^4, (R * Y3)^2, R * Y1 * R * Y2, Y2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, (Y2^-1 * Y1 * Y2 * Y1)^2, (Y1^-1 * Y2^-1 * Y1 * Y2^-1)^2, (Y1^-1 * Y3^-1 * Y2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 129, 257, 385)(2, 130, 258, 386)(3, 131, 259, 387)(4, 132, 260, 388)(5, 133, 261, 389)(6, 134, 262, 390)(7, 135, 263, 391)(8, 136, 264, 392)(9, 137, 265, 393)(10, 138, 266, 394)(11, 139, 267, 395)(12, 140, 268, 396)(13, 141, 269, 397)(14, 142, 270, 398)(15, 143, 271, 399)(16, 144, 272, 400)(17, 145, 273, 401)(18, 146, 274, 402)(19, 147, 275, 403)(20, 148, 276, 404)(21, 149, 277, 405)(22, 150, 278, 406)(23, 151, 279, 407)(24, 152, 280, 408)(25, 153, 281, 409)(26, 154, 282, 410)(27, 155, 283, 411)(28, 156, 284, 412)(29, 157, 285, 413)(30, 158, 286, 414)(31, 159, 287, 415)(32, 160, 288, 416)(33, 161, 289, 417)(34, 162, 290, 418)(35, 163, 291, 419)(36, 164, 292, 420)(37, 165, 293, 421)(38, 166, 294, 422)(39, 167, 295, 423)(40, 168, 296, 424)(41, 169, 297, 425)(42, 170, 298, 426)(43, 171, 299, 427)(44, 172, 300, 428)(45, 173, 301, 429)(46, 174, 302, 430)(47, 175, 303, 431)(48, 176, 304, 432)(49, 177, 305, 433)(50, 178, 306, 434)(51, 179, 307, 435)(52, 180, 308, 436)(53, 181, 309, 437)(54, 182, 310, 438)(55, 183, 311, 439)(56, 184, 312, 440)(57, 185, 313, 441)(58, 186, 314, 442)(59, 187, 315, 443)(60, 188, 316, 444)(61, 189, 317, 445)(62, 190, 318, 446)(63, 191, 319, 447)(64, 192, 320, 448)(65, 193, 321, 449)(66, 194, 322, 450)(67, 195, 323, 451)(68, 196, 324, 452)(69, 197, 325, 453)(70, 198, 326, 454)(71, 199, 327, 455)(72, 200, 328, 456)(73, 201, 329, 457)(74, 202, 330, 458)(75, 203, 331, 459)(76, 204, 332, 460)(77, 205, 333, 461)(78, 206, 334, 462)(79, 207, 335, 463)(80, 208, 336, 464)(81, 209, 337, 465)(82, 210, 338, 466)(83, 211, 339, 467)(84, 212, 340, 468)(85, 213, 341, 469)(86, 214, 342, 470)(87, 215, 343, 471)(88, 216, 344, 472)(89, 217, 345, 473)(90, 218, 346, 474)(91, 219, 347, 475)(92, 220, 348, 476)(93, 221, 349, 477)(94, 222, 350, 478)(95, 223, 351, 479)(96, 224, 352, 480)(97, 225, 353, 481)(98, 226, 354, 482)(99, 227, 355, 483)(100, 228, 356, 484)(101, 229, 357, 485)(102, 230, 358, 486)(103, 231, 359, 487)(104, 232, 360, 488)(105, 233, 361, 489)(106, 234, 362, 490)(107, 235, 363, 491)(108, 236, 364, 492)(109, 237, 365, 493)(110, 238, 366, 494)(111, 239, 367, 495)(112, 240, 368, 496)(113, 241, 369, 497)(114, 242, 370, 498)(115, 243, 371, 499)(116, 244, 372, 500)(117, 245, 373, 501)(118, 246, 374, 502)(119, 247, 375, 503)(120, 248, 376, 504)(121, 249, 377, 505)(122, 250, 378, 506)(123, 251, 379, 507)(124, 252, 380, 508)(125, 253, 381, 509)(126, 254, 382, 510)(127, 255, 383, 511)(128, 256, 384, 512)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 132)(7, 146)(8, 149)(9, 151)(10, 154)(11, 131)(12, 158)(13, 161)(14, 163)(15, 133)(16, 168)(17, 171)(18, 173)(19, 176)(20, 135)(21, 180)(22, 136)(23, 139)(24, 187)(25, 177)(26, 189)(27, 138)(28, 193)(29, 169)(30, 196)(31, 198)(32, 140)(33, 200)(34, 141)(35, 143)(36, 202)(37, 204)(38, 185)(39, 197)(40, 206)(41, 209)(42, 144)(43, 211)(44, 145)(45, 148)(46, 167)(47, 157)(48, 153)(49, 147)(50, 165)(51, 159)(52, 150)(53, 166)(54, 225)(55, 216)(56, 152)(57, 224)(58, 228)(59, 207)(60, 230)(61, 155)(62, 218)(63, 231)(64, 227)(65, 217)(66, 233)(67, 156)(68, 160)(69, 215)(70, 208)(71, 213)(72, 162)(73, 214)(74, 235)(75, 164)(76, 223)(77, 221)(78, 170)(79, 184)(80, 179)(81, 175)(82, 182)(83, 172)(84, 183)(85, 186)(86, 238)(87, 174)(88, 243)(89, 195)(90, 246)(91, 239)(92, 190)(93, 245)(94, 247)(95, 178)(96, 181)(97, 242)(98, 194)(99, 249)(100, 199)(101, 192)(102, 191)(103, 188)(104, 251)(105, 248)(106, 240)(107, 203)(108, 201)(109, 205)(110, 236)(111, 252)(112, 232)(113, 219)(114, 210)(115, 212)(116, 222)(117, 237)(118, 220)(119, 253)(120, 226)(121, 229)(122, 254)(123, 234)(124, 241)(125, 244)(126, 256)(127, 250)(128, 255)(257, 387)(258, 391)(259, 394)(260, 396)(261, 385)(262, 400)(263, 403)(264, 386)(265, 408)(266, 389)(267, 412)(268, 415)(269, 388)(270, 420)(271, 422)(272, 425)(273, 390)(274, 430)(275, 392)(276, 434)(277, 437)(278, 439)(279, 441)(280, 444)(281, 393)(282, 446)(283, 426)(284, 450)(285, 395)(286, 453)(287, 397)(288, 455)(289, 457)(290, 458)(291, 449)(292, 436)(293, 398)(294, 461)(295, 399)(296, 463)(297, 401)(298, 466)(299, 468)(300, 470)(301, 472)(302, 474)(303, 402)(304, 475)(305, 416)(306, 478)(307, 404)(308, 421)(309, 467)(310, 405)(311, 482)(312, 406)(313, 483)(314, 407)(315, 418)(316, 409)(317, 414)(318, 479)(319, 410)(320, 411)(321, 417)(322, 413)(323, 490)(324, 491)(325, 488)(326, 487)(327, 477)(328, 469)(329, 419)(330, 485)(331, 486)(332, 462)(333, 423)(334, 494)(335, 495)(336, 424)(337, 496)(338, 448)(339, 438)(340, 456)(341, 427)(342, 500)(343, 428)(344, 501)(345, 429)(346, 431)(347, 498)(348, 432)(349, 433)(350, 435)(351, 447)(352, 502)(353, 452)(354, 440)(355, 442)(356, 497)(357, 443)(358, 506)(359, 451)(360, 445)(361, 460)(362, 454)(363, 503)(364, 507)(365, 459)(366, 489)(367, 464)(368, 484)(369, 465)(370, 476)(371, 508)(372, 471)(373, 473)(374, 510)(375, 481)(376, 480)(377, 492)(378, 493)(379, 511)(380, 512)(381, 499)(382, 504)(383, 505)(384, 509)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1974
Transitivity :: VT+
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.1978 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {4, 4, 4})
Quotient :: edge
Aut^+ = $<128, 141>$ (small group id <128, 141>)
Aut   = $<256, 6662>$ (small group id <256, 6662>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T1)^2, (F * T2)^2, T1^4, T2 * T1^-1 * T2^-2 * T1 * T2, (T2^-1 * T1^-1)^4, T2 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 * T2^-1 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 5)(2, 7, 19, 8)(4, 12, 26, 13)(6, 16, 35, 17)(9, 24, 14, 25)(11, 27, 15, 28)(18, 40, 21, 41)(20, 42, 22, 43)(23, 45, 33, 46)(29, 54, 31, 55)(30, 47, 32, 49)(34, 58, 37, 59)(36, 60, 38, 61)(39, 63, 44, 64)(48, 74, 50, 75)(51, 77, 52, 78)(53, 79, 56, 80)(57, 83, 62, 84)(65, 93, 66, 94)(67, 95, 68, 96)(69, 97, 71, 98)(70, 99, 72, 100)(73, 101, 76, 102)(81, 107, 82, 108)(85, 109, 86, 110)(87, 111, 88, 112)(89, 113, 91, 114)(90, 115, 92, 116)(103, 121, 104, 122)(105, 123, 106, 124)(117, 125, 118, 126)(119, 127, 120, 128)(129, 130, 134, 132)(131, 137, 151, 139)(133, 142, 161, 143)(135, 146, 167, 148)(136, 149, 172, 150)(138, 147, 163, 154)(140, 157, 181, 158)(141, 159, 184, 160)(144, 162, 185, 164)(145, 165, 190, 166)(152, 175, 201, 176)(153, 177, 204, 178)(155, 179, 193, 168)(156, 180, 194, 169)(170, 195, 213, 186)(171, 196, 214, 187)(173, 197, 212, 198)(174, 199, 211, 200)(182, 188, 215, 209)(183, 189, 216, 210)(191, 217, 208, 218)(192, 219, 207, 220)(202, 231, 240, 225)(203, 232, 239, 226)(205, 227, 238, 233)(206, 228, 237, 234)(221, 245, 230, 241)(222, 246, 229, 242)(223, 243, 236, 247)(224, 244, 235, 248)(249, 254, 252, 255)(250, 253, 251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1979
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1979 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {4, 4, 4})
Quotient :: loop
Aut^+ = $<128, 141>$ (small group id <128, 141>)
Aut   = $<256, 6662>$ (small group id <256, 6662>)
|r| :: 2
Presentation :: [ F^2, T2^4, (F * T2)^2, (F * T1)^2, T1^4, T2 * T1 * T2^-2 * T1 * T2 * T1^-2, T1^-1 * T2^-1 * T1^-1 * T2^-2 * T1^-1 * T2^-1 * T1^-1, (T1 * T2 * T1^-1 * T2)^2, (T2^-1 * T1^-1)^4, (T2 * T1^-1 * T2^-1 * T1^-1)^2, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^2 * T2 * T1 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131, 10, 138, 5, 133)(2, 130, 7, 135, 19, 147, 8, 136)(4, 132, 12, 140, 31, 159, 13, 141)(6, 134, 16, 144, 41, 169, 17, 145)(9, 137, 24, 152, 44, 172, 25, 153)(11, 139, 28, 156, 66, 194, 29, 157)(14, 142, 36, 164, 73, 201, 37, 165)(15, 143, 38, 166, 40, 168, 39, 167)(18, 146, 46, 174, 34, 162, 47, 175)(20, 148, 50, 178, 87, 215, 51, 179)(21, 149, 53, 181, 91, 219, 54, 182)(22, 150, 55, 183, 30, 158, 56, 184)(23, 151, 57, 185, 93, 221, 58, 186)(26, 154, 62, 190, 92, 220, 63, 191)(27, 155, 64, 192, 83, 211, 45, 173)(32, 160, 71, 199, 96, 224, 59, 187)(33, 161, 60, 188, 97, 225, 65, 193)(35, 163, 72, 200, 85, 213, 48, 176)(42, 170, 78, 206, 106, 234, 79, 207)(43, 171, 81, 209, 108, 236, 82, 210)(49, 177, 86, 214, 67, 195, 75, 203)(52, 180, 90, 218, 104, 232, 76, 204)(61, 189, 98, 226, 117, 245, 99, 227)(68, 196, 100, 228, 118, 246, 101, 229)(69, 197, 77, 205, 105, 233, 88, 216)(70, 198, 80, 208, 74, 202, 102, 230)(84, 212, 109, 237, 123, 251, 110, 238)(89, 217, 111, 239, 124, 252, 112, 240)(94, 222, 114, 242, 126, 254, 115, 243)(95, 223, 116, 244, 125, 253, 113, 241)(103, 231, 119, 247, 127, 255, 120, 248)(107, 235, 121, 249, 128, 256, 122, 250)
	L = (1, 130)(2, 134)(3, 137)(4, 129)(5, 142)(6, 132)(7, 146)(8, 149)(9, 151)(10, 154)(11, 131)(12, 158)(13, 161)(14, 163)(15, 133)(16, 168)(17, 171)(18, 173)(19, 176)(20, 135)(21, 180)(22, 136)(23, 139)(24, 174)(25, 187)(26, 189)(27, 138)(28, 193)(29, 196)(30, 197)(31, 198)(32, 140)(33, 190)(34, 141)(35, 143)(36, 175)(37, 202)(38, 179)(39, 184)(40, 203)(41, 204)(42, 144)(43, 208)(44, 145)(45, 148)(46, 167)(47, 157)(48, 212)(49, 147)(50, 165)(51, 217)(52, 150)(53, 166)(54, 220)(55, 207)(56, 152)(57, 159)(58, 206)(59, 223)(60, 153)(61, 155)(62, 162)(63, 214)(64, 229)(65, 218)(66, 219)(67, 156)(68, 164)(69, 160)(70, 222)(71, 210)(72, 211)(73, 227)(74, 216)(75, 170)(76, 231)(77, 169)(78, 182)(79, 235)(80, 172)(81, 183)(82, 200)(83, 199)(84, 177)(85, 233)(86, 240)(87, 236)(88, 178)(89, 181)(90, 195)(91, 238)(92, 186)(93, 241)(94, 185)(95, 188)(96, 201)(97, 243)(98, 194)(99, 242)(100, 191)(101, 244)(102, 192)(103, 205)(104, 221)(105, 250)(106, 225)(107, 209)(108, 248)(109, 215)(110, 226)(111, 213)(112, 228)(113, 249)(114, 224)(115, 247)(116, 230)(117, 252)(118, 251)(119, 234)(120, 237)(121, 232)(122, 239)(123, 256)(124, 255)(125, 245)(126, 246)(127, 253)(128, 254)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1978
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1980 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = $<128, 141>$ (small group id <128, 141>)
Aut   = $<256, 6662>$ (small group id <256, 6662>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, Y1^4, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1, (R * Y2 * Y3^-1)^2, (R * Y2^-2)^2, Y3 * Y2^-2 * Y3^-1 * Y2^-2, (Y3 * Y2)^4, Y3 * Y2^-1 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2^-1, Y2 * Y1^-2 * Y2 * Y1^-2 * Y2 * Y1^-2 * Y2^-1 * Y1^-2, Y3 * Y2 * Y1^-2 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-2 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 4, 132)(3, 131, 9, 137, 23, 151, 11, 139)(5, 133, 14, 142, 33, 161, 15, 143)(7, 135, 18, 146, 39, 167, 20, 148)(8, 136, 21, 149, 44, 172, 22, 150)(10, 138, 19, 147, 35, 163, 26, 154)(12, 140, 29, 157, 53, 181, 30, 158)(13, 141, 31, 159, 56, 184, 32, 160)(16, 144, 34, 162, 57, 185, 36, 164)(17, 145, 37, 165, 62, 190, 38, 166)(24, 152, 47, 175, 73, 201, 48, 176)(25, 153, 49, 177, 76, 204, 50, 178)(27, 155, 51, 179, 65, 193, 40, 168)(28, 156, 52, 180, 66, 194, 41, 169)(42, 170, 67, 195, 85, 213, 58, 186)(43, 171, 68, 196, 86, 214, 59, 187)(45, 173, 69, 197, 84, 212, 70, 198)(46, 174, 71, 199, 83, 211, 72, 200)(54, 182, 60, 188, 87, 215, 81, 209)(55, 183, 61, 189, 88, 216, 82, 210)(63, 191, 89, 217, 80, 208, 90, 218)(64, 192, 91, 219, 79, 207, 92, 220)(74, 202, 103, 231, 112, 240, 97, 225)(75, 203, 104, 232, 111, 239, 98, 226)(77, 205, 99, 227, 110, 238, 105, 233)(78, 206, 100, 228, 109, 237, 106, 234)(93, 221, 117, 245, 102, 230, 113, 241)(94, 222, 118, 246, 101, 229, 114, 242)(95, 223, 115, 243, 108, 236, 119, 247)(96, 224, 116, 244, 107, 235, 120, 248)(121, 249, 126, 254, 124, 252, 127, 255)(122, 250, 125, 253, 123, 251, 128, 256)(257, 385, 259, 387, 266, 394, 261, 389)(258, 386, 263, 391, 275, 403, 264, 392)(260, 388, 268, 396, 282, 410, 269, 397)(262, 390, 272, 400, 291, 419, 273, 401)(265, 393, 280, 408, 270, 398, 281, 409)(267, 395, 283, 411, 271, 399, 284, 412)(274, 402, 296, 424, 277, 405, 297, 425)(276, 404, 298, 426, 278, 406, 299, 427)(279, 407, 301, 429, 289, 417, 302, 430)(285, 413, 310, 438, 287, 415, 311, 439)(286, 414, 303, 431, 288, 416, 305, 433)(290, 418, 314, 442, 293, 421, 315, 443)(292, 420, 316, 444, 294, 422, 317, 445)(295, 423, 319, 447, 300, 428, 320, 448)(304, 432, 330, 458, 306, 434, 331, 459)(307, 435, 333, 461, 308, 436, 334, 462)(309, 437, 335, 463, 312, 440, 336, 464)(313, 441, 339, 467, 318, 446, 340, 468)(321, 449, 349, 477, 322, 450, 350, 478)(323, 451, 351, 479, 324, 452, 352, 480)(325, 453, 353, 481, 327, 455, 354, 482)(326, 454, 355, 483, 328, 456, 356, 484)(329, 457, 357, 485, 332, 460, 358, 486)(337, 465, 363, 491, 338, 466, 364, 492)(341, 469, 365, 493, 342, 470, 366, 494)(343, 471, 367, 495, 344, 472, 368, 496)(345, 473, 369, 497, 347, 475, 370, 498)(346, 474, 371, 499, 348, 476, 372, 500)(359, 487, 377, 505, 360, 488, 378, 506)(361, 489, 379, 507, 362, 490, 380, 508)(373, 501, 381, 509, 374, 502, 382, 510)(375, 503, 383, 511, 376, 504, 384, 512)
	L = (1, 260)(2, 257)(3, 267)(4, 262)(5, 271)(6, 258)(7, 276)(8, 278)(9, 259)(10, 282)(11, 279)(12, 286)(13, 288)(14, 261)(15, 289)(16, 292)(17, 294)(18, 263)(19, 266)(20, 295)(21, 264)(22, 300)(23, 265)(24, 304)(25, 306)(26, 291)(27, 296)(28, 297)(29, 268)(30, 309)(31, 269)(32, 312)(33, 270)(34, 272)(35, 275)(36, 313)(37, 273)(38, 318)(39, 274)(40, 321)(41, 322)(42, 314)(43, 315)(44, 277)(45, 326)(46, 328)(47, 280)(48, 329)(49, 281)(50, 332)(51, 283)(52, 284)(53, 285)(54, 337)(55, 338)(56, 287)(57, 290)(58, 341)(59, 342)(60, 310)(61, 311)(62, 293)(63, 346)(64, 348)(65, 307)(66, 308)(67, 298)(68, 299)(69, 301)(70, 340)(71, 302)(72, 339)(73, 303)(74, 353)(75, 354)(76, 305)(77, 361)(78, 362)(79, 347)(80, 345)(81, 343)(82, 344)(83, 327)(84, 325)(85, 323)(86, 324)(87, 316)(88, 317)(89, 319)(90, 336)(91, 320)(92, 335)(93, 369)(94, 370)(95, 375)(96, 376)(97, 368)(98, 367)(99, 333)(100, 334)(101, 374)(102, 373)(103, 330)(104, 331)(105, 366)(106, 365)(107, 372)(108, 371)(109, 356)(110, 355)(111, 360)(112, 359)(113, 358)(114, 357)(115, 351)(116, 352)(117, 349)(118, 350)(119, 364)(120, 363)(121, 383)(122, 384)(123, 381)(124, 382)(125, 378)(126, 377)(127, 380)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1981
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.1981 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {4, 4, 4})
Quotient :: dipole
Aut^+ = $<128, 141>$ (small group id <128, 141>)
Aut   = $<256, 6662>$ (small group id <256, 6662>)
|r| :: 2
Presentation :: [ Y1, R^2, Y3^4, (R * Y3)^2, (R * Y1)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y3 * Y2^-1 * Y3^2 * Y2 * Y3, Y2^-1 * Y3^-1 * Y2^-1 * Y3 * Y2^-1 * Y3 * Y2^-1 * Y3^-1, (Y3^-1 * Y1^-1)^4, Y2^-1 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-1 * Y3 * Y2^-2 * R * Y2^-2 * Y3^-1 * Y2^-2 * R * Y2^-1 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386, 262, 390, 260, 388)(259, 387, 265, 393, 279, 407, 267, 395)(261, 389, 270, 398, 289, 417, 271, 399)(263, 391, 274, 402, 295, 423, 276, 404)(264, 392, 277, 405, 300, 428, 278, 406)(266, 394, 275, 403, 291, 419, 282, 410)(268, 396, 285, 413, 309, 437, 286, 414)(269, 397, 287, 415, 312, 440, 288, 416)(272, 400, 290, 418, 313, 441, 292, 420)(273, 401, 293, 421, 318, 446, 294, 422)(280, 408, 303, 431, 329, 457, 304, 432)(281, 409, 305, 433, 332, 460, 306, 434)(283, 411, 307, 435, 321, 449, 296, 424)(284, 412, 308, 436, 322, 450, 297, 425)(298, 426, 323, 451, 341, 469, 314, 442)(299, 427, 324, 452, 342, 470, 315, 443)(301, 429, 325, 453, 340, 468, 326, 454)(302, 430, 327, 455, 339, 467, 328, 456)(310, 438, 316, 444, 343, 471, 337, 465)(311, 439, 317, 445, 344, 472, 338, 466)(319, 447, 345, 473, 336, 464, 346, 474)(320, 448, 347, 475, 335, 463, 348, 476)(330, 458, 359, 487, 368, 496, 353, 481)(331, 459, 360, 488, 367, 495, 354, 482)(333, 461, 355, 483, 366, 494, 361, 489)(334, 462, 356, 484, 365, 493, 362, 490)(349, 477, 373, 501, 358, 486, 369, 497)(350, 478, 374, 502, 357, 485, 370, 498)(351, 479, 371, 499, 364, 492, 375, 503)(352, 480, 372, 500, 363, 491, 376, 504)(377, 505, 382, 510, 380, 508, 383, 511)(378, 506, 381, 509, 379, 507, 384, 512)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 272)(7, 275)(8, 258)(9, 280)(10, 261)(11, 283)(12, 282)(13, 260)(14, 281)(15, 284)(16, 291)(17, 262)(18, 296)(19, 264)(20, 298)(21, 297)(22, 299)(23, 301)(24, 270)(25, 265)(26, 269)(27, 271)(28, 267)(29, 310)(30, 303)(31, 311)(32, 305)(33, 302)(34, 314)(35, 273)(36, 316)(37, 315)(38, 317)(39, 319)(40, 277)(41, 274)(42, 278)(43, 276)(44, 320)(45, 289)(46, 279)(47, 288)(48, 330)(49, 286)(50, 331)(51, 333)(52, 334)(53, 335)(54, 287)(55, 285)(56, 336)(57, 339)(58, 293)(59, 290)(60, 294)(61, 292)(62, 340)(63, 300)(64, 295)(65, 349)(66, 350)(67, 351)(68, 352)(69, 353)(70, 355)(71, 354)(72, 356)(73, 357)(74, 306)(75, 304)(76, 358)(77, 308)(78, 307)(79, 312)(80, 309)(81, 363)(82, 364)(83, 318)(84, 313)(85, 365)(86, 366)(87, 367)(88, 368)(89, 369)(90, 371)(91, 370)(92, 372)(93, 322)(94, 321)(95, 324)(96, 323)(97, 327)(98, 325)(99, 328)(100, 326)(101, 332)(102, 329)(103, 377)(104, 378)(105, 379)(106, 380)(107, 338)(108, 337)(109, 342)(110, 341)(111, 344)(112, 343)(113, 347)(114, 345)(115, 348)(116, 346)(117, 381)(118, 382)(119, 383)(120, 384)(121, 360)(122, 359)(123, 362)(124, 361)(125, 374)(126, 373)(127, 376)(128, 375)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1980
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.1982 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^3 * T2 * T1^-4 * T2 * T1, T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2 * T1^2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 58, 29, 57, 85, 65, 34)(17, 35, 66, 89, 61, 40, 68, 36)(28, 55, 79, 51, 78, 103, 84, 56)(32, 62, 76, 70, 37, 69, 80, 63)(41, 50, 77, 101, 75, 74, 100, 72)(54, 81, 73, 88, 59, 87, 71, 82)(64, 92, 109, 91, 110, 120, 104, 93)(67, 90, 114, 123, 113, 98, 102, 96)(83, 107, 99, 106, 119, 125, 118, 108)(86, 105, 97, 116, 94, 112, 95, 111)(115, 121, 117, 122, 126, 128, 127, 124)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 64)(34, 53)(35, 47)(36, 67)(38, 57)(39, 71)(42, 73)(43, 74)(44, 56)(48, 75)(49, 76)(52, 80)(55, 83)(58, 86)(60, 78)(62, 90)(63, 91)(65, 94)(66, 95)(68, 97)(69, 98)(70, 93)(72, 99)(77, 102)(79, 104)(81, 105)(82, 106)(84, 109)(85, 110)(87, 112)(88, 108)(89, 113)(92, 115)(96, 117)(100, 114)(101, 118)(103, 119)(107, 121)(111, 122)(116, 124)(120, 126)(123, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1983
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1983 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-3 * T2 * T1^4 * T2 * T1^-1, 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, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 86, 70, 76, 50, 34)(17, 35, 66, 85, 61, 77, 51, 36)(28, 55, 40, 71, 84, 95, 73, 56)(29, 57, 41, 72, 79, 96, 74, 58)(32, 59, 75, 69, 37, 54, 78, 62)(64, 87, 67, 91, 97, 116, 98, 88)(65, 89, 68, 92, 106, 123, 105, 90)(80, 99, 82, 103, 114, 125, 115, 100)(81, 101, 83, 104, 93, 113, 94, 102)(107, 117, 109, 119, 126, 128, 127, 124)(108, 121, 110, 122, 111, 118, 112, 120)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 64)(34, 65)(35, 67)(36, 68)(38, 70)(39, 69)(42, 62)(43, 63)(44, 66)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 93)(72, 94)(76, 97)(77, 98)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 114)(96, 115)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 124)(116, 126)(123, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1982
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1984 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-1 * T1 * T2^-3)^2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2)^4, 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, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 45, 66, 34, 16)(9, 19, 40, 70, 37, 69, 42, 20)(11, 23, 47, 75, 60, 78, 49, 24)(13, 27, 55, 82, 52, 81, 57, 28)(17, 35, 67, 44, 21, 43, 68, 36)(25, 50, 79, 59, 29, 58, 80, 51)(31, 61, 39, 71, 92, 109, 87, 62)(33, 64, 41, 72, 88, 110, 91, 65)(46, 73, 54, 83, 102, 118, 97, 74)(48, 76, 56, 84, 98, 119, 101, 77)(85, 105, 89, 111, 124, 127, 123, 106)(86, 107, 90, 112, 93, 113, 94, 108)(95, 114, 99, 120, 126, 128, 125, 115)(96, 116, 100, 121, 103, 122, 104, 117)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 186)(162, 178)(163, 177)(164, 185)(166, 181)(168, 187)(170, 179)(171, 175)(172, 183)(189, 213)(190, 214)(191, 216)(192, 217)(193, 218)(194, 220)(195, 207)(196, 208)(197, 215)(198, 219)(199, 221)(200, 222)(201, 223)(202, 224)(203, 226)(204, 227)(205, 228)(206, 230)(209, 225)(210, 229)(211, 231)(212, 232)(233, 242)(234, 250)(235, 248)(236, 245)(237, 252)(238, 251)(239, 244)(240, 249)(241, 243)(246, 254)(247, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1988
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1985 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^3 * T1 * T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2, T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 48, 45, 65, 34, 16)(9, 19, 40, 70, 37, 54, 42, 20)(11, 23, 47, 33, 60, 79, 49, 24)(13, 27, 55, 84, 52, 39, 57, 28)(17, 35, 67, 44, 21, 43, 69, 36)(25, 50, 81, 59, 29, 58, 83, 51)(31, 61, 90, 68, 96, 115, 91, 62)(41, 66, 97, 117, 98, 74, 100, 72)(46, 75, 102, 82, 108, 120, 103, 76)(56, 80, 109, 122, 110, 88, 112, 86)(63, 92, 73, 95, 64, 94, 71, 93)(77, 104, 87, 107, 78, 106, 85, 105)(89, 113, 99, 116, 124, 127, 123, 114)(101, 118, 111, 121, 126, 128, 125, 119)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 191)(162, 192)(163, 194)(164, 196)(166, 181)(168, 199)(170, 201)(171, 202)(172, 190)(175, 205)(177, 206)(178, 208)(179, 210)(183, 213)(185, 215)(186, 216)(187, 204)(189, 217)(193, 224)(195, 209)(197, 211)(198, 226)(200, 227)(203, 229)(207, 236)(212, 238)(214, 239)(218, 231)(219, 230)(220, 232)(221, 244)(222, 234)(223, 242)(225, 240)(228, 237)(233, 249)(235, 247)(241, 246)(243, 252)(245, 251)(248, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1987
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1986 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1, (T2^3 * T1^-1)^2, T2^8, T1^8, (T2 * T1^-1)^4, (T2 * T1^-3)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 39, 15, 5)(2, 7, 19, 48, 89, 56, 22, 8)(4, 12, 31, 69, 98, 59, 24, 9)(6, 17, 43, 81, 111, 86, 46, 18)(11, 28, 65, 38, 75, 99, 61, 25)(13, 33, 60, 97, 119, 102, 67, 30)(14, 36, 74, 101, 62, 27, 44, 37)(16, 41, 78, 108, 124, 109, 80, 42)(20, 50, 23, 55, 94, 113, 87, 47)(21, 53, 93, 115, 88, 49, 79, 54)(29, 66, 100, 120, 105, 73, 35, 64)(32, 70, 83, 58, 96, 118, 104, 68)(34, 72, 103, 121, 127, 117, 95, 71)(40, 76, 106, 122, 128, 123, 107, 77)(45, 84, 112, 125, 110, 82, 57, 85)(51, 91, 114, 126, 116, 92, 52, 90)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 204, 170, 157, 139)(133, 142, 163, 200, 205, 179, 148, 135)(136, 149, 180, 161, 199, 211, 172, 145)(138, 153, 188, 220, 234, 210, 171, 155)(140, 158, 193, 207, 169, 146, 173, 160)(143, 166, 195, 219, 235, 212, 174, 164)(147, 175, 159, 196, 231, 201, 206, 177)(150, 183, 152, 186, 223, 194, 208, 181)(154, 190, 228, 245, 250, 244, 222, 184)(156, 192, 165, 198, 213, 178, 218, 182)(167, 197, 215, 240, 251, 236, 233, 203)(176, 216, 242, 230, 249, 232, 202, 214)(187, 225, 189, 221, 237, 209, 238, 224)(191, 217, 239, 252, 256, 255, 247, 226)(227, 248, 229, 246, 253, 241, 254, 243)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1989
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.1987 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-1 * T1 * T2^-3)^2, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1, (T2 * T1 * T2)^4, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 45, 173, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 69, 197, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 75, 203, 60, 188, 78, 206, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 82, 210, 52, 180, 81, 209, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 68, 196, 36, 164)(25, 153, 50, 178, 79, 207, 59, 187, 29, 157, 58, 186, 80, 208, 51, 179)(31, 159, 61, 189, 39, 167, 71, 199, 92, 220, 109, 237, 87, 215, 62, 190)(33, 161, 64, 192, 41, 169, 72, 200, 88, 216, 110, 238, 91, 219, 65, 193)(46, 174, 73, 201, 54, 182, 83, 211, 102, 230, 118, 246, 97, 225, 74, 202)(48, 176, 76, 204, 56, 184, 84, 212, 98, 226, 119, 247, 101, 229, 77, 205)(85, 213, 105, 233, 89, 217, 111, 239, 124, 252, 127, 255, 123, 251, 106, 234)(86, 214, 107, 235, 90, 218, 112, 240, 93, 221, 113, 241, 94, 222, 108, 236)(95, 223, 114, 242, 99, 227, 120, 248, 126, 254, 128, 256, 125, 253, 115, 243)(96, 224, 116, 244, 100, 228, 121, 249, 103, 231, 122, 250, 104, 232, 117, 245)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 186)(33, 144)(34, 178)(35, 177)(36, 185)(37, 146)(38, 181)(39, 147)(40, 187)(41, 148)(42, 179)(43, 175)(44, 183)(45, 150)(46, 151)(47, 171)(48, 152)(49, 163)(50, 162)(51, 170)(52, 154)(53, 166)(54, 155)(55, 172)(56, 156)(57, 164)(58, 160)(59, 168)(60, 158)(61, 213)(62, 214)(63, 216)(64, 217)(65, 218)(66, 220)(67, 207)(68, 208)(69, 215)(70, 219)(71, 221)(72, 222)(73, 223)(74, 224)(75, 226)(76, 227)(77, 228)(78, 230)(79, 195)(80, 196)(81, 225)(82, 229)(83, 231)(84, 232)(85, 189)(86, 190)(87, 197)(88, 191)(89, 192)(90, 193)(91, 198)(92, 194)(93, 199)(94, 200)(95, 201)(96, 202)(97, 209)(98, 203)(99, 204)(100, 205)(101, 210)(102, 206)(103, 211)(104, 212)(105, 242)(106, 250)(107, 248)(108, 245)(109, 252)(110, 251)(111, 244)(112, 249)(113, 243)(114, 233)(115, 241)(116, 239)(117, 236)(118, 254)(119, 253)(120, 235)(121, 240)(122, 234)(123, 238)(124, 237)(125, 247)(126, 246)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1985
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1988 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^3 * T1 * T2)^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2, T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 48, 176, 45, 173, 65, 193, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 54, 182, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 33, 161, 60, 188, 79, 207, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 84, 212, 52, 180, 39, 167, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 69, 197, 36, 164)(25, 153, 50, 178, 81, 209, 59, 187, 29, 157, 58, 186, 83, 211, 51, 179)(31, 159, 61, 189, 90, 218, 68, 196, 96, 224, 115, 243, 91, 219, 62, 190)(41, 169, 66, 194, 97, 225, 117, 245, 98, 226, 74, 202, 100, 228, 72, 200)(46, 174, 75, 203, 102, 230, 82, 210, 108, 236, 120, 248, 103, 231, 76, 204)(56, 184, 80, 208, 109, 237, 122, 250, 110, 238, 88, 216, 112, 240, 86, 214)(63, 191, 92, 220, 73, 201, 95, 223, 64, 192, 94, 222, 71, 199, 93, 221)(77, 205, 104, 232, 87, 215, 107, 235, 78, 206, 106, 234, 85, 213, 105, 233)(89, 217, 113, 241, 99, 227, 116, 244, 124, 252, 127, 255, 123, 251, 114, 242)(101, 229, 118, 246, 111, 239, 121, 249, 126, 254, 128, 256, 125, 253, 119, 247)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 191)(33, 144)(34, 192)(35, 194)(36, 196)(37, 146)(38, 181)(39, 147)(40, 199)(41, 148)(42, 201)(43, 202)(44, 190)(45, 150)(46, 151)(47, 205)(48, 152)(49, 206)(50, 208)(51, 210)(52, 154)(53, 166)(54, 155)(55, 213)(56, 156)(57, 215)(58, 216)(59, 204)(60, 158)(61, 217)(62, 172)(63, 160)(64, 162)(65, 224)(66, 163)(67, 209)(68, 164)(69, 211)(70, 226)(71, 168)(72, 227)(73, 170)(74, 171)(75, 229)(76, 187)(77, 175)(78, 177)(79, 236)(80, 178)(81, 195)(82, 179)(83, 197)(84, 238)(85, 183)(86, 239)(87, 185)(88, 186)(89, 189)(90, 231)(91, 230)(92, 232)(93, 244)(94, 234)(95, 242)(96, 193)(97, 240)(98, 198)(99, 200)(100, 237)(101, 203)(102, 219)(103, 218)(104, 220)(105, 249)(106, 222)(107, 247)(108, 207)(109, 228)(110, 212)(111, 214)(112, 225)(113, 246)(114, 223)(115, 252)(116, 221)(117, 251)(118, 241)(119, 235)(120, 254)(121, 233)(122, 253)(123, 245)(124, 243)(125, 250)(126, 248)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1984
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1989 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^3 * T2 * T1^-4 * T2 * T1, T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-2 * T2 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2 * T1^2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 51, 179)(27, 155, 54, 182)(30, 158, 59, 187)(31, 159, 61, 189)(33, 161, 64, 192)(34, 162, 53, 181)(35, 163, 47, 175)(36, 164, 67, 195)(38, 166, 57, 185)(39, 167, 71, 199)(42, 170, 73, 201)(43, 171, 74, 202)(44, 172, 56, 184)(48, 176, 75, 203)(49, 177, 76, 204)(52, 180, 80, 208)(55, 183, 83, 211)(58, 186, 86, 214)(60, 188, 78, 206)(62, 190, 90, 218)(63, 191, 91, 219)(65, 193, 94, 222)(66, 194, 95, 223)(68, 196, 97, 225)(69, 197, 98, 226)(70, 198, 93, 221)(72, 200, 99, 227)(77, 205, 102, 230)(79, 207, 104, 232)(81, 209, 105, 233)(82, 210, 106, 234)(84, 212, 109, 237)(85, 213, 110, 238)(87, 215, 112, 240)(88, 216, 108, 236)(89, 217, 113, 241)(92, 220, 115, 243)(96, 224, 117, 245)(100, 228, 114, 242)(101, 229, 118, 246)(103, 231, 119, 247)(107, 235, 121, 249)(111, 239, 122, 250)(116, 244, 124, 252)(120, 248, 126, 254)(123, 251, 127, 255)(125, 253, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 150)(24, 175)(25, 177)(26, 140)(27, 181)(28, 183)(29, 185)(30, 142)(31, 174)(32, 190)(33, 186)(34, 144)(35, 194)(36, 145)(37, 197)(38, 146)(39, 176)(40, 196)(41, 178)(42, 148)(43, 180)(44, 149)(45, 188)(46, 166)(47, 170)(48, 152)(49, 172)(50, 205)(51, 206)(52, 154)(53, 173)(54, 209)(55, 207)(56, 156)(57, 213)(58, 157)(59, 215)(60, 158)(61, 168)(62, 204)(63, 160)(64, 220)(65, 162)(66, 217)(67, 218)(68, 164)(69, 208)(70, 165)(71, 210)(72, 169)(73, 216)(74, 228)(75, 202)(76, 198)(77, 229)(78, 231)(79, 179)(80, 191)(81, 201)(82, 182)(83, 235)(84, 184)(85, 193)(86, 233)(87, 199)(88, 187)(89, 189)(90, 242)(91, 238)(92, 237)(93, 192)(94, 240)(95, 239)(96, 195)(97, 244)(98, 230)(99, 234)(100, 200)(101, 203)(102, 224)(103, 212)(104, 221)(105, 225)(106, 247)(107, 227)(108, 211)(109, 219)(110, 248)(111, 214)(112, 223)(113, 226)(114, 251)(115, 249)(116, 222)(117, 250)(118, 236)(119, 253)(120, 232)(121, 245)(122, 254)(123, 241)(124, 243)(125, 246)(126, 256)(127, 252)(128, 255)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1986
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.1990 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^-3 * Y1 * Y2^4 * Y1 * Y2^-1, (Y2^-2 * R * Y2^-2)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2^-2 * Y1 * Y2^2 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 58, 186)(34, 162, 50, 178)(35, 163, 49, 177)(36, 164, 57, 185)(38, 166, 53, 181)(40, 168, 59, 187)(42, 170, 51, 179)(43, 171, 47, 175)(44, 172, 55, 183)(61, 189, 85, 213)(62, 190, 86, 214)(63, 191, 88, 216)(64, 192, 89, 217)(65, 193, 90, 218)(66, 194, 92, 220)(67, 195, 79, 207)(68, 196, 80, 208)(69, 197, 87, 215)(70, 198, 91, 219)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 96, 224)(75, 203, 98, 226)(76, 204, 99, 227)(77, 205, 100, 228)(78, 206, 102, 230)(81, 209, 97, 225)(82, 210, 101, 229)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 114, 242)(106, 234, 122, 250)(107, 235, 120, 248)(108, 236, 117, 245)(109, 237, 124, 252)(110, 238, 123, 251)(111, 239, 116, 244)(112, 240, 121, 249)(113, 241, 115, 243)(118, 246, 126, 254)(119, 247, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 301, 429, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 325, 453, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 331, 459, 316, 444, 334, 462, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 338, 466, 308, 436, 337, 465, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 324, 452, 292, 420)(281, 409, 306, 434, 335, 463, 315, 443, 285, 413, 314, 442, 336, 464, 307, 435)(287, 415, 317, 445, 295, 423, 327, 455, 348, 476, 365, 493, 343, 471, 318, 446)(289, 417, 320, 448, 297, 425, 328, 456, 344, 472, 366, 494, 347, 475, 321, 449)(302, 430, 329, 457, 310, 438, 339, 467, 358, 486, 374, 502, 353, 481, 330, 458)(304, 432, 332, 460, 312, 440, 340, 468, 354, 482, 375, 503, 357, 485, 333, 461)(341, 469, 361, 489, 345, 473, 367, 495, 380, 508, 383, 511, 379, 507, 362, 490)(342, 470, 363, 491, 346, 474, 368, 496, 349, 477, 369, 497, 350, 478, 364, 492)(351, 479, 370, 498, 355, 483, 376, 504, 382, 510, 384, 512, 381, 509, 371, 499)(352, 480, 372, 500, 356, 484, 377, 505, 359, 487, 378, 506, 360, 488, 373, 501)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 314)(33, 272)(34, 306)(35, 305)(36, 313)(37, 274)(38, 309)(39, 275)(40, 315)(41, 276)(42, 307)(43, 303)(44, 311)(45, 278)(46, 279)(47, 299)(48, 280)(49, 291)(50, 290)(51, 298)(52, 282)(53, 294)(54, 283)(55, 300)(56, 284)(57, 292)(58, 288)(59, 296)(60, 286)(61, 341)(62, 342)(63, 344)(64, 345)(65, 346)(66, 348)(67, 335)(68, 336)(69, 343)(70, 347)(71, 349)(72, 350)(73, 351)(74, 352)(75, 354)(76, 355)(77, 356)(78, 358)(79, 323)(80, 324)(81, 353)(82, 357)(83, 359)(84, 360)(85, 317)(86, 318)(87, 325)(88, 319)(89, 320)(90, 321)(91, 326)(92, 322)(93, 327)(94, 328)(95, 329)(96, 330)(97, 337)(98, 331)(99, 332)(100, 333)(101, 338)(102, 334)(103, 339)(104, 340)(105, 370)(106, 378)(107, 376)(108, 373)(109, 380)(110, 379)(111, 372)(112, 377)(113, 371)(114, 361)(115, 369)(116, 367)(117, 364)(118, 382)(119, 381)(120, 363)(121, 368)(122, 362)(123, 366)(124, 365)(125, 375)(126, 374)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1994
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.1991 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2 * R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y1 * Y2^-2 * R)^2, (Y2^-2 * R * Y2^-2)^2, Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^-1, Y2^3 * Y1 * Y2^-4 * Y1 * Y2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1, (Y2^-1 * Y1 * Y2^-2 * R * Y2^-1)^2, (Y2^2 * Y1 * Y2 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 63, 191)(34, 162, 64, 192)(35, 163, 66, 194)(36, 164, 68, 196)(38, 166, 53, 181)(40, 168, 71, 199)(42, 170, 73, 201)(43, 171, 74, 202)(44, 172, 62, 190)(47, 175, 77, 205)(49, 177, 78, 206)(50, 178, 80, 208)(51, 179, 82, 210)(55, 183, 85, 213)(57, 185, 87, 215)(58, 186, 88, 216)(59, 187, 76, 204)(61, 189, 89, 217)(65, 193, 96, 224)(67, 195, 81, 209)(69, 197, 83, 211)(70, 198, 98, 226)(72, 200, 99, 227)(75, 203, 101, 229)(79, 207, 108, 236)(84, 212, 110, 238)(86, 214, 111, 239)(90, 218, 103, 231)(91, 219, 102, 230)(92, 220, 104, 232)(93, 221, 116, 244)(94, 222, 106, 234)(95, 223, 114, 242)(97, 225, 112, 240)(100, 228, 109, 237)(105, 233, 121, 249)(107, 235, 119, 247)(113, 241, 118, 246)(115, 243, 124, 252)(117, 245, 123, 251)(120, 248, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 304, 432, 301, 429, 321, 449, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 310, 438, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 289, 417, 316, 444, 335, 463, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 340, 468, 308, 436, 295, 423, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 325, 453, 292, 420)(281, 409, 306, 434, 337, 465, 315, 443, 285, 413, 314, 442, 339, 467, 307, 435)(287, 415, 317, 445, 346, 474, 324, 452, 352, 480, 371, 499, 347, 475, 318, 446)(297, 425, 322, 450, 353, 481, 373, 501, 354, 482, 330, 458, 356, 484, 328, 456)(302, 430, 331, 459, 358, 486, 338, 466, 364, 492, 376, 504, 359, 487, 332, 460)(312, 440, 336, 464, 365, 493, 378, 506, 366, 494, 344, 472, 368, 496, 342, 470)(319, 447, 348, 476, 329, 457, 351, 479, 320, 448, 350, 478, 327, 455, 349, 477)(333, 461, 360, 488, 343, 471, 363, 491, 334, 462, 362, 490, 341, 469, 361, 489)(345, 473, 369, 497, 355, 483, 372, 500, 380, 508, 383, 511, 379, 507, 370, 498)(357, 485, 374, 502, 367, 495, 377, 505, 382, 510, 384, 512, 381, 509, 375, 503)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 319)(33, 272)(34, 320)(35, 322)(36, 324)(37, 274)(38, 309)(39, 275)(40, 327)(41, 276)(42, 329)(43, 330)(44, 318)(45, 278)(46, 279)(47, 333)(48, 280)(49, 334)(50, 336)(51, 338)(52, 282)(53, 294)(54, 283)(55, 341)(56, 284)(57, 343)(58, 344)(59, 332)(60, 286)(61, 345)(62, 300)(63, 288)(64, 290)(65, 352)(66, 291)(67, 337)(68, 292)(69, 339)(70, 354)(71, 296)(72, 355)(73, 298)(74, 299)(75, 357)(76, 315)(77, 303)(78, 305)(79, 364)(80, 306)(81, 323)(82, 307)(83, 325)(84, 366)(85, 311)(86, 367)(87, 313)(88, 314)(89, 317)(90, 359)(91, 358)(92, 360)(93, 372)(94, 362)(95, 370)(96, 321)(97, 368)(98, 326)(99, 328)(100, 365)(101, 331)(102, 347)(103, 346)(104, 348)(105, 377)(106, 350)(107, 375)(108, 335)(109, 356)(110, 340)(111, 342)(112, 353)(113, 374)(114, 351)(115, 380)(116, 349)(117, 379)(118, 369)(119, 363)(120, 382)(121, 361)(122, 381)(123, 373)(124, 371)(125, 378)(126, 376)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1995
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.1992 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-3)^2, Y1^8, Y2^8, (Y2 * Y1^-1)^4 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 76, 204, 42, 170, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 72, 200, 77, 205, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 33, 161, 71, 199, 83, 211, 44, 172, 17, 145)(10, 138, 25, 153, 60, 188, 92, 220, 106, 234, 82, 210, 43, 171, 27, 155)(12, 140, 30, 158, 65, 193, 79, 207, 41, 169, 18, 146, 45, 173, 32, 160)(15, 143, 38, 166, 67, 195, 91, 219, 107, 235, 84, 212, 46, 174, 36, 164)(19, 147, 47, 175, 31, 159, 68, 196, 103, 231, 73, 201, 78, 206, 49, 177)(22, 150, 55, 183, 24, 152, 58, 186, 95, 223, 66, 194, 80, 208, 53, 181)(26, 154, 62, 190, 100, 228, 117, 245, 122, 250, 116, 244, 94, 222, 56, 184)(28, 156, 64, 192, 37, 165, 70, 198, 85, 213, 50, 178, 90, 218, 54, 182)(39, 167, 69, 197, 87, 215, 112, 240, 123, 251, 108, 236, 105, 233, 75, 203)(48, 176, 88, 216, 114, 242, 102, 230, 121, 249, 104, 232, 74, 202, 86, 214)(59, 187, 97, 225, 61, 189, 93, 221, 109, 237, 81, 209, 110, 238, 96, 224)(63, 191, 89, 217, 111, 239, 124, 252, 128, 256, 127, 255, 119, 247, 98, 226)(99, 227, 120, 248, 101, 229, 118, 246, 125, 253, 113, 241, 126, 254, 115, 243)(257, 385, 259, 387, 266, 394, 282, 410, 319, 447, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 345, 473, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 325, 453, 354, 482, 315, 443, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 337, 465, 367, 495, 342, 470, 302, 430, 274, 402)(267, 395, 284, 412, 321, 449, 294, 422, 331, 459, 355, 483, 317, 445, 281, 409)(269, 397, 289, 417, 316, 444, 353, 481, 375, 503, 358, 486, 323, 451, 286, 414)(270, 398, 292, 420, 330, 458, 357, 485, 318, 446, 283, 411, 300, 428, 293, 421)(272, 400, 297, 425, 334, 462, 364, 492, 380, 508, 365, 493, 336, 464, 298, 426)(276, 404, 306, 434, 279, 407, 311, 439, 350, 478, 369, 497, 343, 471, 303, 431)(277, 405, 309, 437, 349, 477, 371, 499, 344, 472, 305, 433, 335, 463, 310, 438)(285, 413, 322, 450, 356, 484, 376, 504, 361, 489, 329, 457, 291, 419, 320, 448)(288, 416, 326, 454, 339, 467, 314, 442, 352, 480, 374, 502, 360, 488, 324, 452)(290, 418, 328, 456, 359, 487, 377, 505, 383, 511, 373, 501, 351, 479, 327, 455)(296, 424, 332, 460, 362, 490, 378, 506, 384, 512, 379, 507, 363, 491, 333, 461)(301, 429, 340, 468, 368, 496, 381, 509, 366, 494, 338, 466, 313, 441, 341, 469)(307, 435, 347, 475, 370, 498, 382, 510, 372, 500, 348, 476, 308, 436, 346, 474)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 311)(24, 265)(25, 267)(26, 319)(27, 300)(28, 321)(29, 322)(30, 269)(31, 325)(32, 326)(33, 316)(34, 328)(35, 320)(36, 330)(37, 270)(38, 331)(39, 271)(40, 332)(41, 334)(42, 272)(43, 337)(44, 293)(45, 340)(46, 274)(47, 276)(48, 345)(49, 335)(50, 279)(51, 347)(52, 346)(53, 349)(54, 277)(55, 350)(56, 278)(57, 341)(58, 352)(59, 280)(60, 353)(61, 281)(62, 283)(63, 295)(64, 285)(65, 294)(66, 356)(67, 286)(68, 288)(69, 354)(70, 339)(71, 290)(72, 359)(73, 291)(74, 357)(75, 355)(76, 362)(77, 296)(78, 364)(79, 310)(80, 298)(81, 367)(82, 313)(83, 314)(84, 368)(85, 301)(86, 302)(87, 303)(88, 305)(89, 312)(90, 307)(91, 370)(92, 308)(93, 371)(94, 369)(95, 327)(96, 374)(97, 375)(98, 315)(99, 317)(100, 376)(101, 318)(102, 323)(103, 377)(104, 324)(105, 329)(106, 378)(107, 333)(108, 380)(109, 336)(110, 338)(111, 342)(112, 381)(113, 343)(114, 382)(115, 344)(116, 348)(117, 351)(118, 360)(119, 358)(120, 361)(121, 383)(122, 384)(123, 363)(124, 365)(125, 366)(126, 372)(127, 373)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.1993
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.1993 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^8, (Y3^-1 * Y2 * Y3^-3)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, (Y3 * Y2 * Y3)^4, Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 302, 430)(280, 408, 304, 432)(282, 410, 308, 436)(283, 411, 310, 438)(284, 412, 312, 440)(286, 414, 316, 444)(288, 416, 314, 442)(290, 418, 306, 434)(291, 419, 305, 433)(292, 420, 313, 441)(294, 422, 309, 437)(296, 424, 315, 443)(298, 426, 307, 435)(299, 427, 303, 431)(300, 428, 311, 439)(317, 445, 341, 469)(318, 446, 342, 470)(319, 447, 344, 472)(320, 448, 345, 473)(321, 449, 346, 474)(322, 450, 348, 476)(323, 451, 335, 463)(324, 452, 336, 464)(325, 453, 343, 471)(326, 454, 347, 475)(327, 455, 349, 477)(328, 456, 350, 478)(329, 457, 351, 479)(330, 458, 352, 480)(331, 459, 354, 482)(332, 460, 355, 483)(333, 461, 356, 484)(334, 462, 358, 486)(337, 465, 353, 481)(338, 466, 357, 485)(339, 467, 359, 487)(340, 468, 360, 488)(361, 489, 370, 498)(362, 490, 378, 506)(363, 491, 376, 504)(364, 492, 373, 501)(365, 493, 380, 508)(366, 494, 379, 507)(367, 495, 372, 500)(368, 496, 377, 505)(369, 497, 371, 499)(374, 502, 382, 510)(375, 503, 381, 509)(383, 511, 384, 512)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 303)(24, 267)(25, 306)(26, 309)(27, 311)(28, 269)(29, 314)(30, 270)(31, 317)(32, 319)(33, 320)(34, 272)(35, 323)(36, 273)(37, 325)(38, 278)(39, 327)(40, 326)(41, 328)(42, 276)(43, 324)(44, 277)(45, 322)(46, 329)(47, 331)(48, 332)(49, 280)(50, 335)(51, 281)(52, 337)(53, 286)(54, 339)(55, 338)(56, 340)(57, 284)(58, 336)(59, 285)(60, 334)(61, 295)(62, 287)(63, 301)(64, 297)(65, 289)(66, 290)(67, 300)(68, 292)(69, 298)(70, 293)(71, 348)(72, 344)(73, 310)(74, 302)(75, 316)(76, 312)(77, 304)(78, 305)(79, 315)(80, 307)(81, 313)(82, 308)(83, 358)(84, 354)(85, 361)(86, 363)(87, 318)(88, 366)(89, 367)(90, 368)(91, 321)(92, 365)(93, 369)(94, 364)(95, 370)(96, 372)(97, 330)(98, 375)(99, 376)(100, 377)(101, 333)(102, 374)(103, 378)(104, 373)(105, 345)(106, 341)(107, 346)(108, 342)(109, 343)(110, 347)(111, 380)(112, 349)(113, 350)(114, 355)(115, 351)(116, 356)(117, 352)(118, 353)(119, 357)(120, 382)(121, 359)(122, 360)(123, 362)(124, 383)(125, 371)(126, 384)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.1992
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.1994 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3, (Y1^2 * Y3 * Y1^2)^2, (Y1^-1 * Y3 * Y1^-1)^4, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 46, 174, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 45, 173, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 48, 176, 24, 152, 47, 175, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 44, 172, 21, 149, 43, 171, 52, 180, 26, 154)(16, 144, 33, 161, 58, 186, 29, 157, 57, 185, 85, 213, 65, 193, 34, 162)(17, 145, 35, 163, 66, 194, 89, 217, 61, 189, 40, 168, 68, 196, 36, 164)(28, 156, 55, 183, 79, 207, 51, 179, 78, 206, 103, 231, 84, 212, 56, 184)(32, 160, 62, 190, 76, 204, 70, 198, 37, 165, 69, 197, 80, 208, 63, 191)(41, 169, 50, 178, 77, 205, 101, 229, 75, 203, 74, 202, 100, 228, 72, 200)(54, 182, 81, 209, 73, 201, 88, 216, 59, 187, 87, 215, 71, 199, 82, 210)(64, 192, 92, 220, 109, 237, 91, 219, 110, 238, 120, 248, 104, 232, 93, 221)(67, 195, 90, 218, 114, 242, 123, 251, 113, 241, 98, 226, 102, 230, 96, 224)(83, 211, 107, 235, 99, 227, 106, 234, 119, 247, 125, 253, 118, 246, 108, 236)(86, 214, 105, 233, 97, 225, 116, 244, 94, 222, 112, 240, 95, 223, 111, 239)(115, 243, 121, 249, 117, 245, 122, 250, 126, 254, 128, 256, 127, 255, 124, 252)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 317)(32, 271)(33, 320)(34, 309)(35, 303)(36, 323)(37, 274)(38, 313)(39, 327)(40, 275)(41, 276)(42, 329)(43, 330)(44, 312)(45, 278)(46, 279)(47, 291)(48, 331)(49, 332)(50, 281)(51, 282)(52, 336)(53, 290)(54, 283)(55, 339)(56, 300)(57, 294)(58, 342)(59, 286)(60, 334)(61, 287)(62, 346)(63, 347)(64, 289)(65, 350)(66, 351)(67, 292)(68, 353)(69, 354)(70, 349)(71, 295)(72, 355)(73, 298)(74, 299)(75, 304)(76, 305)(77, 358)(78, 316)(79, 360)(80, 308)(81, 361)(82, 362)(83, 311)(84, 365)(85, 366)(86, 314)(87, 368)(88, 364)(89, 369)(90, 318)(91, 319)(92, 371)(93, 326)(94, 321)(95, 322)(96, 373)(97, 324)(98, 325)(99, 328)(100, 370)(101, 374)(102, 333)(103, 375)(104, 335)(105, 337)(106, 338)(107, 377)(108, 344)(109, 340)(110, 341)(111, 378)(112, 343)(113, 345)(114, 356)(115, 348)(116, 380)(117, 352)(118, 357)(119, 359)(120, 382)(121, 363)(122, 367)(123, 383)(124, 372)(125, 384)(126, 376)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1990
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.1995 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 77>$ (small group id <128, 77>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y1^8, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^-2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 46, 174, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 45, 173, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 48, 176, 24, 152, 47, 175, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 44, 172, 21, 149, 43, 171, 52, 180, 26, 154)(16, 144, 33, 161, 63, 191, 86, 214, 70, 198, 76, 204, 50, 178, 34, 162)(17, 145, 35, 163, 66, 194, 85, 213, 61, 189, 77, 205, 51, 179, 36, 164)(28, 156, 55, 183, 40, 168, 71, 199, 84, 212, 95, 223, 73, 201, 56, 184)(29, 157, 57, 185, 41, 169, 72, 200, 79, 207, 96, 224, 74, 202, 58, 186)(32, 160, 59, 187, 75, 203, 69, 197, 37, 165, 54, 182, 78, 206, 62, 190)(64, 192, 87, 215, 67, 195, 91, 219, 97, 225, 116, 244, 98, 226, 88, 216)(65, 193, 89, 217, 68, 196, 92, 220, 106, 234, 123, 251, 105, 233, 90, 218)(80, 208, 99, 227, 82, 210, 103, 231, 114, 242, 125, 253, 115, 243, 100, 228)(81, 209, 101, 229, 83, 211, 104, 232, 93, 221, 113, 241, 94, 222, 102, 230)(107, 235, 117, 245, 109, 237, 119, 247, 126, 254, 128, 256, 127, 255, 124, 252)(108, 236, 121, 249, 110, 238, 122, 250, 111, 239, 118, 246, 112, 240, 120, 248)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 317)(32, 271)(33, 320)(34, 321)(35, 323)(36, 324)(37, 274)(38, 326)(39, 325)(40, 275)(41, 276)(42, 318)(43, 319)(44, 322)(45, 278)(46, 279)(47, 329)(48, 330)(49, 331)(50, 281)(51, 282)(52, 334)(53, 335)(54, 283)(55, 336)(56, 337)(57, 338)(58, 339)(59, 286)(60, 340)(61, 287)(62, 298)(63, 299)(64, 289)(65, 290)(66, 300)(67, 291)(68, 292)(69, 295)(70, 294)(71, 349)(72, 350)(73, 303)(74, 304)(75, 305)(76, 353)(77, 354)(78, 308)(79, 309)(80, 311)(81, 312)(82, 313)(83, 314)(84, 316)(85, 361)(86, 362)(87, 363)(88, 364)(89, 365)(90, 366)(91, 367)(92, 368)(93, 327)(94, 328)(95, 370)(96, 371)(97, 332)(98, 333)(99, 373)(100, 374)(101, 375)(102, 376)(103, 377)(104, 378)(105, 341)(106, 342)(107, 343)(108, 344)(109, 345)(110, 346)(111, 347)(112, 348)(113, 380)(114, 351)(115, 352)(116, 382)(117, 355)(118, 356)(119, 357)(120, 358)(121, 359)(122, 360)(123, 383)(124, 369)(125, 384)(126, 372)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1991
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.1996 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 2>$ (small group id <128, 2>)
Aut   = $<256, 722>$ (small group id <256, 722>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-3 * T2 * T1^4 * T2 * T1^-1, T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 50, 76, 70, 90, 65, 34)(17, 35, 51, 77, 61, 85, 68, 36)(28, 55, 73, 95, 84, 71, 40, 56)(29, 57, 74, 96, 79, 72, 41, 58)(32, 54, 75, 69, 37, 59, 78, 62)(63, 86, 105, 123, 110, 91, 66, 87)(64, 88, 98, 116, 97, 92, 67, 89)(80, 99, 94, 113, 93, 103, 82, 100)(81, 101, 115, 125, 114, 104, 83, 102)(106, 117, 112, 122, 111, 121, 108, 119)(107, 118, 126, 128, 127, 124, 109, 120)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 63)(34, 64)(35, 66)(36, 67)(38, 70)(39, 62)(42, 69)(43, 65)(44, 68)(47, 73)(48, 74)(49, 75)(52, 78)(53, 79)(55, 80)(56, 81)(57, 82)(58, 83)(60, 84)(71, 93)(72, 94)(76, 97)(77, 98)(85, 105)(86, 106)(87, 107)(88, 108)(89, 109)(90, 110)(91, 111)(92, 112)(95, 114)(96, 115)(99, 117)(100, 118)(101, 119)(102, 120)(103, 121)(104, 122)(113, 124)(116, 126)(123, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.1997 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 2>$ (small group id <128, 2>)
Aut   = $<256, 722>$ (small group id <256, 722>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-1 * T1 * T2^-3)^2, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-2 * T1 * T2)^2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 45, 66, 34, 16)(9, 19, 40, 70, 37, 69, 42, 20)(11, 23, 47, 75, 60, 78, 49, 24)(13, 27, 55, 82, 52, 81, 57, 28)(17, 35, 67, 44, 21, 43, 68, 36)(25, 50, 79, 59, 29, 58, 80, 51)(31, 61, 86, 107, 92, 71, 39, 62)(33, 64, 90, 110, 88, 72, 41, 65)(46, 73, 96, 116, 102, 83, 54, 74)(48, 76, 100, 119, 98, 84, 56, 77)(85, 105, 94, 113, 93, 111, 89, 106)(87, 108, 124, 127, 123, 112, 91, 109)(95, 114, 104, 122, 103, 120, 99, 115)(97, 117, 126, 128, 125, 121, 101, 118)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 178)(162, 186)(163, 175)(164, 183)(166, 181)(168, 179)(170, 187)(171, 177)(172, 185)(189, 213)(190, 215)(191, 216)(192, 217)(193, 219)(194, 220)(195, 207)(196, 208)(197, 214)(198, 218)(199, 221)(200, 222)(201, 223)(202, 225)(203, 226)(204, 227)(205, 229)(206, 230)(209, 224)(210, 228)(211, 231)(212, 232)(233, 242)(234, 245)(235, 251)(236, 243)(237, 246)(238, 252)(239, 248)(240, 250)(241, 249)(244, 253)(247, 254)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.1998
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.1998 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 2>$ (small group id <128, 2>)
Aut   = $<256, 722>$ (small group id <256, 722>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-1 * T1 * T2^-3)^2, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1, (T2 * T1 * T2^-2 * T1 * T2)^2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 45, 173, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 69, 197, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 75, 203, 60, 188, 78, 206, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 82, 210, 52, 180, 81, 209, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 68, 196, 36, 164)(25, 153, 50, 178, 79, 207, 59, 187, 29, 157, 58, 186, 80, 208, 51, 179)(31, 159, 61, 189, 86, 214, 107, 235, 92, 220, 71, 199, 39, 167, 62, 190)(33, 161, 64, 192, 90, 218, 110, 238, 88, 216, 72, 200, 41, 169, 65, 193)(46, 174, 73, 201, 96, 224, 116, 244, 102, 230, 83, 211, 54, 182, 74, 202)(48, 176, 76, 204, 100, 228, 119, 247, 98, 226, 84, 212, 56, 184, 77, 205)(85, 213, 105, 233, 94, 222, 113, 241, 93, 221, 111, 239, 89, 217, 106, 234)(87, 215, 108, 236, 124, 252, 127, 255, 123, 251, 112, 240, 91, 219, 109, 237)(95, 223, 114, 242, 104, 232, 122, 250, 103, 231, 120, 248, 99, 227, 115, 243)(97, 225, 117, 245, 126, 254, 128, 256, 125, 253, 121, 249, 101, 229, 118, 246)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 178)(33, 144)(34, 186)(35, 175)(36, 183)(37, 146)(38, 181)(39, 147)(40, 179)(41, 148)(42, 187)(43, 177)(44, 185)(45, 150)(46, 151)(47, 163)(48, 152)(49, 171)(50, 160)(51, 168)(52, 154)(53, 166)(54, 155)(55, 164)(56, 156)(57, 172)(58, 162)(59, 170)(60, 158)(61, 213)(62, 215)(63, 216)(64, 217)(65, 219)(66, 220)(67, 207)(68, 208)(69, 214)(70, 218)(71, 221)(72, 222)(73, 223)(74, 225)(75, 226)(76, 227)(77, 229)(78, 230)(79, 195)(80, 196)(81, 224)(82, 228)(83, 231)(84, 232)(85, 189)(86, 197)(87, 190)(88, 191)(89, 192)(90, 198)(91, 193)(92, 194)(93, 199)(94, 200)(95, 201)(96, 209)(97, 202)(98, 203)(99, 204)(100, 210)(101, 205)(102, 206)(103, 211)(104, 212)(105, 242)(106, 245)(107, 251)(108, 243)(109, 246)(110, 252)(111, 248)(112, 250)(113, 249)(114, 233)(115, 236)(116, 253)(117, 234)(118, 237)(119, 254)(120, 239)(121, 241)(122, 240)(123, 235)(124, 238)(125, 244)(126, 247)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.1997
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.1999 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 2>$ (small group id <128, 2>)
Aut   = $<256, 722>$ (small group id <256, 722>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, Y2^8, (Y2^-2 * R * Y2^-2)^2, (Y2^-3 * Y1 * Y2^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 50, 178)(34, 162, 58, 186)(35, 163, 47, 175)(36, 164, 55, 183)(38, 166, 53, 181)(40, 168, 51, 179)(42, 170, 59, 187)(43, 171, 49, 177)(44, 172, 57, 185)(61, 189, 85, 213)(62, 190, 87, 215)(63, 191, 88, 216)(64, 192, 89, 217)(65, 193, 91, 219)(66, 194, 92, 220)(67, 195, 79, 207)(68, 196, 80, 208)(69, 197, 86, 214)(70, 198, 90, 218)(71, 199, 93, 221)(72, 200, 94, 222)(73, 201, 95, 223)(74, 202, 97, 225)(75, 203, 98, 226)(76, 204, 99, 227)(77, 205, 101, 229)(78, 206, 102, 230)(81, 209, 96, 224)(82, 210, 100, 228)(83, 211, 103, 231)(84, 212, 104, 232)(105, 233, 114, 242)(106, 234, 117, 245)(107, 235, 123, 251)(108, 236, 115, 243)(109, 237, 118, 246)(110, 238, 124, 252)(111, 239, 120, 248)(112, 240, 122, 250)(113, 241, 121, 249)(116, 244, 125, 253)(119, 247, 126, 254)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 301, 429, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 325, 453, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 331, 459, 316, 444, 334, 462, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 338, 466, 308, 436, 337, 465, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 324, 452, 292, 420)(281, 409, 306, 434, 335, 463, 315, 443, 285, 413, 314, 442, 336, 464, 307, 435)(287, 415, 317, 445, 342, 470, 363, 491, 348, 476, 327, 455, 295, 423, 318, 446)(289, 417, 320, 448, 346, 474, 366, 494, 344, 472, 328, 456, 297, 425, 321, 449)(302, 430, 329, 457, 352, 480, 372, 500, 358, 486, 339, 467, 310, 438, 330, 458)(304, 432, 332, 460, 356, 484, 375, 503, 354, 482, 340, 468, 312, 440, 333, 461)(341, 469, 361, 489, 350, 478, 369, 497, 349, 477, 367, 495, 345, 473, 362, 490)(343, 471, 364, 492, 380, 508, 383, 511, 379, 507, 368, 496, 347, 475, 365, 493)(351, 479, 370, 498, 360, 488, 378, 506, 359, 487, 376, 504, 355, 483, 371, 499)(353, 481, 373, 501, 382, 510, 384, 512, 381, 509, 377, 505, 357, 485, 374, 502)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 306)(33, 272)(34, 314)(35, 303)(36, 311)(37, 274)(38, 309)(39, 275)(40, 307)(41, 276)(42, 315)(43, 305)(44, 313)(45, 278)(46, 279)(47, 291)(48, 280)(49, 299)(50, 288)(51, 296)(52, 282)(53, 294)(54, 283)(55, 292)(56, 284)(57, 300)(58, 290)(59, 298)(60, 286)(61, 341)(62, 343)(63, 344)(64, 345)(65, 347)(66, 348)(67, 335)(68, 336)(69, 342)(70, 346)(71, 349)(72, 350)(73, 351)(74, 353)(75, 354)(76, 355)(77, 357)(78, 358)(79, 323)(80, 324)(81, 352)(82, 356)(83, 359)(84, 360)(85, 317)(86, 325)(87, 318)(88, 319)(89, 320)(90, 326)(91, 321)(92, 322)(93, 327)(94, 328)(95, 329)(96, 337)(97, 330)(98, 331)(99, 332)(100, 338)(101, 333)(102, 334)(103, 339)(104, 340)(105, 370)(106, 373)(107, 379)(108, 371)(109, 374)(110, 380)(111, 376)(112, 378)(113, 377)(114, 361)(115, 364)(116, 381)(117, 362)(118, 365)(119, 382)(120, 367)(121, 369)(122, 368)(123, 363)(124, 366)(125, 372)(126, 375)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2000
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2000 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 2>$ (small group id <128, 2>)
Aut   = $<256, 722>$ (small group id <256, 722>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y1^8, Y3 * Y1^-4 * Y3^-1 * Y1^-4, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-2, Y3 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 46, 174, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 45, 173, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 48, 176, 24, 152, 47, 175, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 44, 172, 21, 149, 43, 171, 52, 180, 26, 154)(16, 144, 33, 161, 50, 178, 76, 204, 70, 198, 90, 218, 65, 193, 34, 162)(17, 145, 35, 163, 51, 179, 77, 205, 61, 189, 85, 213, 68, 196, 36, 164)(28, 156, 55, 183, 73, 201, 95, 223, 84, 212, 71, 199, 40, 168, 56, 184)(29, 157, 57, 185, 74, 202, 96, 224, 79, 207, 72, 200, 41, 169, 58, 186)(32, 160, 54, 182, 75, 203, 69, 197, 37, 165, 59, 187, 78, 206, 62, 190)(63, 191, 86, 214, 105, 233, 123, 251, 110, 238, 91, 219, 66, 194, 87, 215)(64, 192, 88, 216, 98, 226, 116, 244, 97, 225, 92, 220, 67, 195, 89, 217)(80, 208, 99, 227, 94, 222, 113, 241, 93, 221, 103, 231, 82, 210, 100, 228)(81, 209, 101, 229, 115, 243, 125, 253, 114, 242, 104, 232, 83, 211, 102, 230)(106, 234, 117, 245, 112, 240, 122, 250, 111, 239, 121, 249, 108, 236, 119, 247)(107, 235, 118, 246, 126, 254, 128, 256, 127, 255, 124, 252, 109, 237, 120, 248)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 317)(32, 271)(33, 319)(34, 320)(35, 322)(36, 323)(37, 274)(38, 326)(39, 318)(40, 275)(41, 276)(42, 325)(43, 321)(44, 324)(45, 278)(46, 279)(47, 329)(48, 330)(49, 331)(50, 281)(51, 282)(52, 334)(53, 335)(54, 283)(55, 336)(56, 337)(57, 338)(58, 339)(59, 286)(60, 340)(61, 287)(62, 295)(63, 289)(64, 290)(65, 299)(66, 291)(67, 292)(68, 300)(69, 298)(70, 294)(71, 349)(72, 350)(73, 303)(74, 304)(75, 305)(76, 353)(77, 354)(78, 308)(79, 309)(80, 311)(81, 312)(82, 313)(83, 314)(84, 316)(85, 361)(86, 362)(87, 363)(88, 364)(89, 365)(90, 366)(91, 367)(92, 368)(93, 327)(94, 328)(95, 370)(96, 371)(97, 332)(98, 333)(99, 373)(100, 374)(101, 375)(102, 376)(103, 377)(104, 378)(105, 341)(106, 342)(107, 343)(108, 344)(109, 345)(110, 346)(111, 347)(112, 348)(113, 380)(114, 351)(115, 352)(116, 382)(117, 355)(118, 356)(119, 357)(120, 358)(121, 359)(122, 360)(123, 383)(124, 369)(125, 384)(126, 372)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.1999
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2001 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 48>$ (small group id <128, 48>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^8, T1^-1 * T2 * T1^4 * T2 * T1^-3, T1^3 * T2 * T1^-4 * T2 * T1, (T1^-3 * T2 * T1^-1)^2, (T2 * T1^-2)^4, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 79, 67, 85, 54, 29)(17, 34, 62, 89, 57, 73, 64, 35)(28, 53, 82, 72, 88, 104, 77, 49)(32, 58, 75, 66, 36, 65, 78, 59)(39, 69, 99, 101, 74, 48, 76, 70)(52, 80, 71, 87, 55, 86, 68, 81)(61, 93, 107, 98, 111, 119, 103, 91)(63, 95, 116, 123, 113, 90, 102, 96)(83, 108, 100, 112, 120, 125, 118, 106)(84, 109, 94, 114, 92, 105, 97, 110)(115, 121, 117, 122, 126, 128, 127, 124)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(33, 61)(35, 63)(37, 67)(38, 68)(40, 71)(41, 69)(42, 72)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 83)(54, 84)(56, 88)(58, 90)(59, 91)(60, 92)(62, 94)(64, 97)(65, 95)(66, 98)(70, 100)(76, 102)(77, 103)(80, 105)(81, 106)(82, 107)(85, 111)(86, 109)(87, 112)(89, 113)(93, 115)(96, 117)(99, 116)(101, 118)(104, 120)(108, 121)(110, 122)(114, 124)(119, 126)(123, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2002 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 48>$ (small group id <128, 48>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2 * T1)^2, T2^8, T2^-2 * T1 * T2^4 * T1 * T2^-2, (T2^-4 * T1)^2, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 37, 22, 10, 4)(2, 5, 12, 26, 50, 30, 14, 6)(7, 15, 32, 60, 43, 62, 33, 16)(9, 19, 38, 67, 36, 66, 40, 20)(11, 23, 45, 76, 56, 78, 46, 24)(13, 27, 51, 83, 49, 82, 53, 28)(17, 34, 64, 42, 21, 41, 65, 35)(25, 47, 80, 55, 29, 54, 81, 48)(31, 57, 90, 72, 96, 115, 91, 58)(39, 69, 99, 117, 98, 63, 97, 70)(44, 73, 102, 88, 108, 120, 103, 74)(52, 85, 111, 122, 110, 79, 109, 86)(59, 92, 71, 95, 61, 94, 68, 93)(75, 104, 87, 107, 77, 106, 84, 105)(89, 113, 100, 116, 124, 127, 123, 114)(101, 118, 112, 121, 126, 128, 125, 119)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 152)(146, 164)(147, 155)(148, 167)(150, 171)(151, 172)(154, 177)(156, 180)(158, 184)(160, 187)(161, 189)(162, 191)(163, 186)(165, 178)(166, 196)(168, 199)(169, 197)(170, 200)(173, 203)(174, 205)(175, 207)(176, 202)(179, 212)(181, 215)(182, 213)(183, 216)(185, 217)(188, 204)(190, 224)(192, 208)(193, 209)(194, 210)(195, 226)(198, 228)(201, 229)(206, 236)(211, 238)(214, 240)(218, 230)(219, 231)(220, 232)(221, 242)(222, 234)(223, 244)(225, 237)(227, 239)(233, 247)(235, 249)(241, 246)(243, 252)(245, 251)(248, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2003
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2003 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 48>$ (small group id <128, 48>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2 * T1)^2, T2^8, T2^-2 * T1 * T2^4 * T1 * T2^-2, (T2^-4 * T1)^2, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1)^2, (T2 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 37, 165, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 50, 178, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 60, 188, 43, 171, 62, 190, 33, 161, 16, 144)(9, 137, 19, 147, 38, 166, 67, 195, 36, 164, 66, 194, 40, 168, 20, 148)(11, 139, 23, 151, 45, 173, 76, 204, 56, 184, 78, 206, 46, 174, 24, 152)(13, 141, 27, 155, 51, 179, 83, 211, 49, 177, 82, 210, 53, 181, 28, 156)(17, 145, 34, 162, 64, 192, 42, 170, 21, 149, 41, 169, 65, 193, 35, 163)(25, 153, 47, 175, 80, 208, 55, 183, 29, 157, 54, 182, 81, 209, 48, 176)(31, 159, 57, 185, 90, 218, 72, 200, 96, 224, 115, 243, 91, 219, 58, 186)(39, 167, 69, 197, 99, 227, 117, 245, 98, 226, 63, 191, 97, 225, 70, 198)(44, 172, 73, 201, 102, 230, 88, 216, 108, 236, 120, 248, 103, 231, 74, 202)(52, 180, 85, 213, 111, 239, 122, 250, 110, 238, 79, 207, 109, 237, 86, 214)(59, 187, 92, 220, 71, 199, 95, 223, 61, 189, 94, 222, 68, 196, 93, 221)(75, 203, 104, 232, 87, 215, 107, 235, 77, 205, 106, 234, 84, 212, 105, 233)(89, 217, 113, 241, 100, 228, 116, 244, 124, 252, 127, 255, 123, 251, 114, 242)(101, 229, 118, 246, 112, 240, 121, 249, 126, 254, 128, 256, 125, 253, 119, 247)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 152)(17, 136)(18, 164)(19, 155)(20, 167)(21, 138)(22, 171)(23, 172)(24, 144)(25, 140)(26, 177)(27, 147)(28, 180)(29, 142)(30, 184)(31, 143)(32, 187)(33, 189)(34, 191)(35, 186)(36, 146)(37, 178)(38, 196)(39, 148)(40, 199)(41, 197)(42, 200)(43, 150)(44, 151)(45, 203)(46, 205)(47, 207)(48, 202)(49, 154)(50, 165)(51, 212)(52, 156)(53, 215)(54, 213)(55, 216)(56, 158)(57, 217)(58, 163)(59, 160)(60, 204)(61, 161)(62, 224)(63, 162)(64, 208)(65, 209)(66, 210)(67, 226)(68, 166)(69, 169)(70, 228)(71, 168)(72, 170)(73, 229)(74, 176)(75, 173)(76, 188)(77, 174)(78, 236)(79, 175)(80, 192)(81, 193)(82, 194)(83, 238)(84, 179)(85, 182)(86, 240)(87, 181)(88, 183)(89, 185)(90, 230)(91, 231)(92, 232)(93, 242)(94, 234)(95, 244)(96, 190)(97, 237)(98, 195)(99, 239)(100, 198)(101, 201)(102, 218)(103, 219)(104, 220)(105, 247)(106, 222)(107, 249)(108, 206)(109, 225)(110, 211)(111, 227)(112, 214)(113, 246)(114, 221)(115, 252)(116, 223)(117, 251)(118, 241)(119, 233)(120, 254)(121, 235)(122, 253)(123, 245)(124, 243)(125, 250)(126, 248)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2002
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2004 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 48>$ (small group id <128, 48>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * R * Y2^-2 * R * Y1 * Y2^-2, Y2^8, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^-1 * Y1 * Y2^4 * Y1 * Y2^-3, Y2^-2 * Y1 * Y2^4 * Y1 * Y2^-2, (Y2^-3 * Y1 * Y2^-1)^2, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1)^4, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 24, 152)(18, 146, 36, 164)(19, 147, 27, 155)(20, 148, 39, 167)(22, 150, 43, 171)(23, 151, 44, 172)(26, 154, 49, 177)(28, 156, 52, 180)(30, 158, 56, 184)(32, 160, 59, 187)(33, 161, 61, 189)(34, 162, 63, 191)(35, 163, 58, 186)(37, 165, 50, 178)(38, 166, 68, 196)(40, 168, 71, 199)(41, 169, 69, 197)(42, 170, 72, 200)(45, 173, 75, 203)(46, 174, 77, 205)(47, 175, 79, 207)(48, 176, 74, 202)(51, 179, 84, 212)(53, 181, 87, 215)(54, 182, 85, 213)(55, 183, 88, 216)(57, 185, 89, 217)(60, 188, 76, 204)(62, 190, 96, 224)(64, 192, 80, 208)(65, 193, 81, 209)(66, 194, 82, 210)(67, 195, 98, 226)(70, 198, 100, 228)(73, 201, 101, 229)(78, 206, 108, 236)(83, 211, 110, 238)(86, 214, 112, 240)(90, 218, 102, 230)(91, 219, 103, 231)(92, 220, 104, 232)(93, 221, 114, 242)(94, 222, 106, 234)(95, 223, 116, 244)(97, 225, 109, 237)(99, 227, 111, 239)(105, 233, 119, 247)(107, 235, 121, 249)(113, 241, 118, 246)(115, 243, 124, 252)(117, 245, 123, 251)(120, 248, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 306, 434, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 316, 444, 299, 427, 318, 446, 289, 417, 272, 400)(265, 393, 275, 403, 294, 422, 323, 451, 292, 420, 322, 450, 296, 424, 276, 404)(267, 395, 279, 407, 301, 429, 332, 460, 312, 440, 334, 462, 302, 430, 280, 408)(269, 397, 283, 411, 307, 435, 339, 467, 305, 433, 338, 466, 309, 437, 284, 412)(273, 401, 290, 418, 320, 448, 298, 426, 277, 405, 297, 425, 321, 449, 291, 419)(281, 409, 303, 431, 336, 464, 311, 439, 285, 413, 310, 438, 337, 465, 304, 432)(287, 415, 313, 441, 346, 474, 328, 456, 352, 480, 371, 499, 347, 475, 314, 442)(295, 423, 325, 453, 355, 483, 373, 501, 354, 482, 319, 447, 353, 481, 326, 454)(300, 428, 329, 457, 358, 486, 344, 472, 364, 492, 376, 504, 359, 487, 330, 458)(308, 436, 341, 469, 367, 495, 378, 506, 366, 494, 335, 463, 365, 493, 342, 470)(315, 443, 348, 476, 327, 455, 351, 479, 317, 445, 350, 478, 324, 452, 349, 477)(331, 459, 360, 488, 343, 471, 363, 491, 333, 461, 362, 490, 340, 468, 361, 489)(345, 473, 369, 497, 356, 484, 372, 500, 380, 508, 383, 511, 379, 507, 370, 498)(357, 485, 374, 502, 368, 496, 377, 505, 382, 510, 384, 512, 381, 509, 375, 503)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 280)(17, 264)(18, 292)(19, 283)(20, 295)(21, 266)(22, 299)(23, 300)(24, 272)(25, 268)(26, 305)(27, 275)(28, 308)(29, 270)(30, 312)(31, 271)(32, 315)(33, 317)(34, 319)(35, 314)(36, 274)(37, 306)(38, 324)(39, 276)(40, 327)(41, 325)(42, 328)(43, 278)(44, 279)(45, 331)(46, 333)(47, 335)(48, 330)(49, 282)(50, 293)(51, 340)(52, 284)(53, 343)(54, 341)(55, 344)(56, 286)(57, 345)(58, 291)(59, 288)(60, 332)(61, 289)(62, 352)(63, 290)(64, 336)(65, 337)(66, 338)(67, 354)(68, 294)(69, 297)(70, 356)(71, 296)(72, 298)(73, 357)(74, 304)(75, 301)(76, 316)(77, 302)(78, 364)(79, 303)(80, 320)(81, 321)(82, 322)(83, 366)(84, 307)(85, 310)(86, 368)(87, 309)(88, 311)(89, 313)(90, 358)(91, 359)(92, 360)(93, 370)(94, 362)(95, 372)(96, 318)(97, 365)(98, 323)(99, 367)(100, 326)(101, 329)(102, 346)(103, 347)(104, 348)(105, 375)(106, 350)(107, 377)(108, 334)(109, 353)(110, 339)(111, 355)(112, 342)(113, 374)(114, 349)(115, 380)(116, 351)(117, 379)(118, 369)(119, 361)(120, 382)(121, 363)(122, 381)(123, 373)(124, 371)(125, 378)(126, 376)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2005
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2005 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 48>$ (small group id <128, 48>)
Aut   = $<256, 5078>$ (small group id <256, 5078>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^4 * Y3^-1 * Y1^-3, Y1^-2 * Y3 * Y1^4 * Y3^-1 * Y1^-2, Y1^2 * Y3^-1 * Y1^4 * Y3 * Y1^2, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 44, 172, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 43, 171, 56, 184, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 46, 174, 24, 152, 45, 173, 40, 168, 20, 148)(12, 140, 25, 153, 47, 175, 42, 170, 21, 149, 41, 169, 50, 178, 26, 154)(16, 144, 33, 161, 60, 188, 79, 207, 67, 195, 85, 213, 54, 182, 29, 157)(17, 145, 34, 162, 62, 190, 89, 217, 57, 185, 73, 201, 64, 192, 35, 163)(28, 156, 53, 181, 82, 210, 72, 200, 88, 216, 104, 232, 77, 205, 49, 177)(32, 160, 58, 186, 75, 203, 66, 194, 36, 164, 65, 193, 78, 206, 59, 187)(39, 167, 69, 197, 99, 227, 101, 229, 74, 202, 48, 176, 76, 204, 70, 198)(52, 180, 80, 208, 71, 199, 87, 215, 55, 183, 86, 214, 68, 196, 81, 209)(61, 189, 93, 221, 107, 235, 98, 226, 111, 239, 119, 247, 103, 231, 91, 219)(63, 191, 95, 223, 116, 244, 123, 251, 113, 241, 90, 218, 102, 230, 96, 224)(83, 211, 108, 236, 100, 228, 112, 240, 120, 248, 125, 253, 118, 246, 106, 234)(84, 212, 109, 237, 94, 222, 114, 242, 92, 220, 105, 233, 97, 225, 110, 238)(115, 243, 121, 249, 117, 245, 122, 250, 126, 254, 128, 256, 127, 255, 124, 252)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 290)(20, 295)(21, 266)(22, 299)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 311)(31, 313)(32, 271)(33, 317)(34, 275)(35, 319)(36, 274)(37, 323)(38, 324)(39, 276)(40, 327)(41, 325)(42, 328)(43, 278)(44, 279)(45, 329)(46, 330)(47, 331)(48, 281)(49, 282)(50, 334)(51, 335)(52, 283)(53, 339)(54, 340)(55, 286)(56, 344)(57, 287)(58, 346)(59, 347)(60, 348)(61, 289)(62, 350)(63, 291)(64, 353)(65, 351)(66, 354)(67, 293)(68, 294)(69, 297)(70, 356)(71, 296)(72, 298)(73, 301)(74, 302)(75, 303)(76, 358)(77, 359)(78, 306)(79, 307)(80, 361)(81, 362)(82, 363)(83, 309)(84, 310)(85, 367)(86, 365)(87, 368)(88, 312)(89, 369)(90, 314)(91, 315)(92, 316)(93, 371)(94, 318)(95, 321)(96, 373)(97, 320)(98, 322)(99, 372)(100, 326)(101, 374)(102, 332)(103, 333)(104, 376)(105, 336)(106, 337)(107, 338)(108, 377)(109, 342)(110, 378)(111, 341)(112, 343)(113, 345)(114, 380)(115, 349)(116, 355)(117, 352)(118, 357)(119, 382)(120, 360)(121, 364)(122, 366)(123, 383)(124, 370)(125, 384)(126, 375)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2004
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2006 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1^-1 * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^8, T1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 * T2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 111, 74, 40, 20)(12, 25, 47, 86, 118, 91, 50, 26)(16, 33, 61, 106, 114, 99, 54, 29)(17, 34, 63, 102, 115, 83, 65, 35)(21, 41, 75, 110, 122, 98, 77, 42)(24, 45, 82, 62, 107, 117, 85, 46)(28, 53, 96, 76, 104, 58, 89, 49)(32, 59, 87, 70, 95, 52, 94, 60)(36, 66, 90, 73, 101, 55, 100, 67)(39, 71, 93, 68, 84, 48, 88, 72)(43, 78, 105, 119, 109, 64, 108, 79)(44, 80, 113, 97, 121, 112, 116, 81)(103, 120, 126, 124, 127, 125, 128, 123)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(33, 62)(35, 64)(37, 68)(38, 70)(40, 73)(41, 71)(42, 76)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 97)(54, 98)(56, 102)(57, 103)(59, 105)(60, 82)(61, 91)(63, 86)(65, 110)(66, 108)(67, 85)(69, 99)(72, 112)(74, 89)(75, 94)(77, 100)(78, 104)(79, 106)(80, 114)(81, 115)(88, 119)(92, 120)(95, 113)(96, 117)(101, 116)(107, 124)(109, 125)(111, 123)(118, 126)(121, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2007
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2007 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1 * T2 * T1^-1)^2, T1^-2 * T2 * T1^4 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2, (T1^-1 * T2 * T1^-1 * T2 * T1^-2)^2, T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 79, 67, 85, 54, 29)(17, 34, 62, 89, 57, 73, 64, 35)(28, 53, 82, 72, 88, 104, 77, 49)(32, 58, 78, 66, 36, 65, 75, 59)(39, 69, 99, 101, 74, 48, 76, 70)(52, 80, 68, 87, 55, 86, 71, 81)(61, 93, 103, 98, 111, 122, 107, 91)(63, 95, 102, 120, 113, 90, 114, 96)(83, 108, 119, 112, 121, 118, 100, 106)(84, 109, 97, 115, 92, 105, 94, 110)(116, 126, 127, 124, 128, 123, 117, 125)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(33, 61)(35, 63)(37, 67)(38, 68)(40, 71)(41, 69)(42, 72)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 83)(54, 84)(56, 88)(58, 90)(59, 91)(60, 92)(62, 94)(64, 97)(65, 95)(66, 98)(70, 100)(76, 102)(77, 103)(80, 105)(81, 106)(82, 107)(85, 111)(86, 109)(87, 112)(89, 113)(93, 116)(96, 117)(99, 114)(101, 119)(104, 121)(108, 123)(110, 124)(115, 125)(118, 126)(120, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2006
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2008 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2 * T1)^2, (T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1)^2, T2^8, T1 * T2^3 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1 * T2^-3 * T1)^2, T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 37, 22, 10, 4)(2, 5, 12, 26, 50, 30, 14, 6)(7, 15, 32, 60, 106, 62, 33, 16)(9, 19, 38, 70, 111, 74, 40, 20)(11, 23, 45, 83, 116, 85, 46, 24)(13, 27, 51, 93, 121, 97, 53, 28)(17, 34, 64, 92, 115, 82, 65, 35)(21, 41, 75, 96, 117, 84, 77, 42)(25, 47, 87, 69, 105, 59, 88, 48)(29, 54, 98, 73, 107, 61, 100, 55)(31, 57, 104, 76, 90, 49, 89, 58)(36, 66, 81, 44, 80, 114, 99, 67)(39, 71, 102, 56, 101, 63, 108, 72)(43, 78, 86, 118, 95, 52, 94, 79)(68, 109, 124, 103, 123, 112, 125, 110)(91, 119, 127, 113, 126, 122, 128, 120)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 152)(146, 164)(147, 155)(148, 167)(150, 171)(151, 172)(154, 177)(156, 180)(158, 184)(160, 187)(161, 189)(162, 191)(163, 186)(165, 196)(166, 197)(168, 201)(169, 199)(170, 204)(173, 210)(174, 212)(175, 214)(176, 209)(178, 219)(179, 220)(181, 224)(182, 222)(183, 227)(185, 231)(188, 230)(190, 221)(192, 215)(193, 226)(194, 225)(195, 229)(198, 213)(200, 240)(202, 217)(203, 216)(205, 228)(206, 218)(207, 211)(208, 241)(223, 250)(232, 242)(233, 252)(234, 247)(235, 253)(236, 246)(237, 244)(238, 249)(239, 248)(243, 255)(245, 256)(251, 254)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2012
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2009 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T1 * T2^-1 * T1 * T2)^2, T2^8, T2^-1 * T1 * T2^4 * T1 * T2^-3, T2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 37, 22, 10, 4)(2, 5, 12, 26, 50, 30, 14, 6)(7, 15, 32, 60, 43, 62, 33, 16)(9, 19, 38, 67, 36, 66, 40, 20)(11, 23, 45, 76, 56, 78, 46, 24)(13, 27, 51, 83, 49, 82, 53, 28)(17, 34, 64, 42, 21, 41, 65, 35)(25, 47, 80, 55, 29, 54, 81, 48)(31, 57, 90, 72, 96, 115, 91, 58)(39, 69, 99, 117, 98, 63, 97, 70)(44, 73, 102, 88, 108, 121, 103, 74)(52, 85, 111, 123, 110, 79, 109, 86)(59, 92, 68, 95, 61, 94, 71, 93)(75, 104, 84, 107, 77, 106, 87, 105)(89, 113, 125, 116, 126, 118, 100, 114)(101, 119, 127, 122, 128, 124, 112, 120)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 152)(146, 164)(147, 155)(148, 167)(150, 171)(151, 172)(154, 177)(156, 180)(158, 184)(160, 187)(161, 189)(162, 191)(163, 186)(165, 178)(166, 196)(168, 199)(169, 197)(170, 200)(173, 203)(174, 205)(175, 207)(176, 202)(179, 212)(181, 215)(182, 213)(183, 216)(185, 217)(188, 204)(190, 224)(192, 209)(193, 208)(194, 210)(195, 226)(198, 228)(201, 229)(206, 236)(211, 238)(214, 240)(218, 231)(219, 230)(220, 232)(221, 242)(222, 234)(223, 244)(225, 239)(227, 237)(233, 248)(235, 250)(241, 252)(243, 254)(245, 253)(246, 247)(249, 256)(251, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2011
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2010 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, (F * T2)^2, (T2^-1 * T1 * T2^-2)^2, (T2, T1^-1)^2, (T2 * T1^-2 * T2)^2, T1^8, T2^8, T1^-1 * T2 * T1^-1 * T2^2 * T1^2 * T2^-1 * T1^-2, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1 * T2^-2 * T1^-2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 64, 39, 15, 5)(2, 7, 19, 48, 98, 56, 22, 8)(4, 12, 31, 72, 112, 60, 24, 9)(6, 17, 43, 89, 125, 96, 46, 18)(11, 28, 67, 38, 82, 107, 62, 25)(13, 33, 76, 111, 128, 105, 61, 30)(14, 36, 44, 91, 63, 27, 65, 37)(16, 41, 85, 70, 116, 124, 88, 42)(20, 50, 101, 55, 108, 58, 23, 47)(21, 53, 86, 68, 97, 49, 99, 54)(29, 69, 35, 80, 87, 123, 113, 66)(32, 73, 92, 59, 93, 81, 114, 71)(34, 78, 110, 126, 118, 79, 115, 75)(40, 83, 119, 104, 127, 109, 122, 84)(45, 94, 120, 102, 74, 90, 57, 95)(51, 103, 52, 106, 121, 117, 77, 100)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 237, 198, 157, 139)(133, 142, 163, 207, 232, 179, 148, 135)(136, 149, 180, 233, 254, 220, 172, 145)(138, 153, 189, 231, 247, 222, 174, 155)(140, 158, 190, 227, 252, 217, 202, 160)(143, 166, 204, 245, 250, 218, 171, 164)(146, 173, 221, 188, 239, 195, 214, 169)(147, 175, 152, 187, 238, 251, 216, 177)(150, 183, 159, 199, 243, 197, 213, 181)(154, 191, 241, 206, 212, 249, 236, 184)(156, 194, 219, 201, 230, 178, 228, 196)(161, 203, 242, 193, 224, 176, 225, 205)(165, 209, 223, 186, 234, 182, 235, 208)(167, 200, 229, 248, 211, 170, 215, 210)(192, 226, 253, 244, 255, 246, 256, 240)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2013
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.2011 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, (T2^-1 * T1 * T2 * T1)^2, (T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1)^2, T2^8, T1 * T2^3 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1 * T2^-3 * T1)^2, T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 37, 165, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 50, 178, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 60, 188, 106, 234, 62, 190, 33, 161, 16, 144)(9, 137, 19, 147, 38, 166, 70, 198, 111, 239, 74, 202, 40, 168, 20, 148)(11, 139, 23, 151, 45, 173, 83, 211, 116, 244, 85, 213, 46, 174, 24, 152)(13, 141, 27, 155, 51, 179, 93, 221, 121, 249, 97, 225, 53, 181, 28, 156)(17, 145, 34, 162, 64, 192, 92, 220, 115, 243, 82, 210, 65, 193, 35, 163)(21, 149, 41, 169, 75, 203, 96, 224, 117, 245, 84, 212, 77, 205, 42, 170)(25, 153, 47, 175, 87, 215, 69, 197, 105, 233, 59, 187, 88, 216, 48, 176)(29, 157, 54, 182, 98, 226, 73, 201, 107, 235, 61, 189, 100, 228, 55, 183)(31, 159, 57, 185, 104, 232, 76, 204, 90, 218, 49, 177, 89, 217, 58, 186)(36, 164, 66, 194, 81, 209, 44, 172, 80, 208, 114, 242, 99, 227, 67, 195)(39, 167, 71, 199, 102, 230, 56, 184, 101, 229, 63, 191, 108, 236, 72, 200)(43, 171, 78, 206, 86, 214, 118, 246, 95, 223, 52, 180, 94, 222, 79, 207)(68, 196, 109, 237, 124, 252, 103, 231, 123, 251, 112, 240, 125, 253, 110, 238)(91, 219, 119, 247, 127, 255, 113, 241, 126, 254, 122, 250, 128, 256, 120, 248)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 152)(17, 136)(18, 164)(19, 155)(20, 167)(21, 138)(22, 171)(23, 172)(24, 144)(25, 140)(26, 177)(27, 147)(28, 180)(29, 142)(30, 184)(31, 143)(32, 187)(33, 189)(34, 191)(35, 186)(36, 146)(37, 196)(38, 197)(39, 148)(40, 201)(41, 199)(42, 204)(43, 150)(44, 151)(45, 210)(46, 212)(47, 214)(48, 209)(49, 154)(50, 219)(51, 220)(52, 156)(53, 224)(54, 222)(55, 227)(56, 158)(57, 231)(58, 163)(59, 160)(60, 230)(61, 161)(62, 221)(63, 162)(64, 215)(65, 226)(66, 225)(67, 229)(68, 165)(69, 166)(70, 213)(71, 169)(72, 240)(73, 168)(74, 217)(75, 216)(76, 170)(77, 228)(78, 218)(79, 211)(80, 241)(81, 176)(82, 173)(83, 207)(84, 174)(85, 198)(86, 175)(87, 192)(88, 203)(89, 202)(90, 206)(91, 178)(92, 179)(93, 190)(94, 182)(95, 250)(96, 181)(97, 194)(98, 193)(99, 183)(100, 205)(101, 195)(102, 188)(103, 185)(104, 242)(105, 252)(106, 247)(107, 253)(108, 246)(109, 244)(110, 249)(111, 248)(112, 200)(113, 208)(114, 232)(115, 255)(116, 237)(117, 256)(118, 236)(119, 234)(120, 239)(121, 238)(122, 223)(123, 254)(124, 233)(125, 235)(126, 251)(127, 243)(128, 245)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2009
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2012 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T1 * T2^-1 * T1 * T2)^2, T2^8, T2^-1 * T1 * T2^4 * T1 * T2^-3, T2 * T1 * T2^2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 37, 165, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 50, 178, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 60, 188, 43, 171, 62, 190, 33, 161, 16, 144)(9, 137, 19, 147, 38, 166, 67, 195, 36, 164, 66, 194, 40, 168, 20, 148)(11, 139, 23, 151, 45, 173, 76, 204, 56, 184, 78, 206, 46, 174, 24, 152)(13, 141, 27, 155, 51, 179, 83, 211, 49, 177, 82, 210, 53, 181, 28, 156)(17, 145, 34, 162, 64, 192, 42, 170, 21, 149, 41, 169, 65, 193, 35, 163)(25, 153, 47, 175, 80, 208, 55, 183, 29, 157, 54, 182, 81, 209, 48, 176)(31, 159, 57, 185, 90, 218, 72, 200, 96, 224, 115, 243, 91, 219, 58, 186)(39, 167, 69, 197, 99, 227, 117, 245, 98, 226, 63, 191, 97, 225, 70, 198)(44, 172, 73, 201, 102, 230, 88, 216, 108, 236, 121, 249, 103, 231, 74, 202)(52, 180, 85, 213, 111, 239, 123, 251, 110, 238, 79, 207, 109, 237, 86, 214)(59, 187, 92, 220, 68, 196, 95, 223, 61, 189, 94, 222, 71, 199, 93, 221)(75, 203, 104, 232, 84, 212, 107, 235, 77, 205, 106, 234, 87, 215, 105, 233)(89, 217, 113, 241, 125, 253, 116, 244, 126, 254, 118, 246, 100, 228, 114, 242)(101, 229, 119, 247, 127, 255, 122, 250, 128, 256, 124, 252, 112, 240, 120, 248)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 152)(17, 136)(18, 164)(19, 155)(20, 167)(21, 138)(22, 171)(23, 172)(24, 144)(25, 140)(26, 177)(27, 147)(28, 180)(29, 142)(30, 184)(31, 143)(32, 187)(33, 189)(34, 191)(35, 186)(36, 146)(37, 178)(38, 196)(39, 148)(40, 199)(41, 197)(42, 200)(43, 150)(44, 151)(45, 203)(46, 205)(47, 207)(48, 202)(49, 154)(50, 165)(51, 212)(52, 156)(53, 215)(54, 213)(55, 216)(56, 158)(57, 217)(58, 163)(59, 160)(60, 204)(61, 161)(62, 224)(63, 162)(64, 209)(65, 208)(66, 210)(67, 226)(68, 166)(69, 169)(70, 228)(71, 168)(72, 170)(73, 229)(74, 176)(75, 173)(76, 188)(77, 174)(78, 236)(79, 175)(80, 193)(81, 192)(82, 194)(83, 238)(84, 179)(85, 182)(86, 240)(87, 181)(88, 183)(89, 185)(90, 231)(91, 230)(92, 232)(93, 242)(94, 234)(95, 244)(96, 190)(97, 239)(98, 195)(99, 237)(100, 198)(101, 201)(102, 219)(103, 218)(104, 220)(105, 248)(106, 222)(107, 250)(108, 206)(109, 227)(110, 211)(111, 225)(112, 214)(113, 252)(114, 221)(115, 254)(116, 223)(117, 253)(118, 247)(119, 246)(120, 233)(121, 256)(122, 235)(123, 255)(124, 241)(125, 245)(126, 243)(127, 251)(128, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2008
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2013 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1^-1 * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^8, T1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 * T2, T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 36, 164)(19, 147, 34, 162)(20, 148, 39, 167)(22, 150, 43, 171)(23, 151, 44, 172)(25, 153, 48, 176)(26, 154, 49, 177)(27, 155, 52, 180)(30, 158, 55, 183)(31, 159, 58, 186)(33, 161, 62, 190)(35, 163, 64, 192)(37, 165, 68, 196)(38, 166, 70, 198)(40, 168, 73, 201)(41, 169, 71, 199)(42, 170, 76, 204)(45, 173, 83, 211)(46, 174, 84, 212)(47, 175, 87, 215)(50, 178, 90, 218)(51, 179, 93, 221)(53, 181, 97, 225)(54, 182, 98, 226)(56, 184, 102, 230)(57, 185, 103, 231)(59, 187, 105, 233)(60, 188, 82, 210)(61, 189, 91, 219)(63, 191, 86, 214)(65, 193, 110, 238)(66, 194, 108, 236)(67, 195, 85, 213)(69, 197, 99, 227)(72, 200, 112, 240)(74, 202, 89, 217)(75, 203, 94, 222)(77, 205, 100, 228)(78, 206, 104, 232)(79, 207, 106, 234)(80, 208, 114, 242)(81, 209, 115, 243)(88, 216, 119, 247)(92, 220, 120, 248)(95, 223, 113, 241)(96, 224, 117, 245)(101, 229, 116, 244)(107, 235, 124, 252)(109, 237, 125, 253)(111, 239, 123, 251)(118, 246, 126, 254)(121, 249, 127, 255)(122, 250, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 162)(18, 136)(19, 166)(20, 137)(21, 169)(22, 138)(23, 150)(24, 173)(25, 175)(26, 140)(27, 179)(28, 181)(29, 144)(30, 142)(31, 185)(32, 187)(33, 189)(34, 191)(35, 145)(36, 194)(37, 146)(38, 197)(39, 199)(40, 148)(41, 203)(42, 149)(43, 206)(44, 208)(45, 210)(46, 152)(47, 214)(48, 216)(49, 156)(50, 154)(51, 220)(52, 222)(53, 224)(54, 157)(55, 228)(56, 158)(57, 165)(58, 217)(59, 215)(60, 160)(61, 234)(62, 235)(63, 230)(64, 236)(65, 163)(66, 218)(67, 164)(68, 212)(69, 239)(70, 223)(71, 221)(72, 167)(73, 229)(74, 168)(75, 238)(76, 232)(77, 170)(78, 233)(79, 171)(80, 241)(81, 172)(82, 190)(83, 193)(84, 176)(85, 174)(86, 246)(87, 198)(88, 200)(89, 177)(90, 201)(91, 178)(92, 184)(93, 196)(94, 188)(95, 180)(96, 204)(97, 249)(98, 205)(99, 182)(100, 195)(101, 183)(102, 243)(103, 248)(104, 186)(105, 247)(106, 242)(107, 245)(108, 207)(109, 192)(110, 250)(111, 202)(112, 244)(113, 225)(114, 227)(115, 211)(116, 209)(117, 213)(118, 219)(119, 237)(120, 254)(121, 240)(122, 226)(123, 231)(124, 255)(125, 256)(126, 252)(127, 253)(128, 251)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2010
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.2014 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, Y2^8, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y2^-3 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 24, 152)(18, 146, 36, 164)(19, 147, 27, 155)(20, 148, 39, 167)(22, 150, 43, 171)(23, 151, 44, 172)(26, 154, 49, 177)(28, 156, 52, 180)(30, 158, 56, 184)(32, 160, 59, 187)(33, 161, 61, 189)(34, 162, 63, 191)(35, 163, 58, 186)(37, 165, 68, 196)(38, 166, 69, 197)(40, 168, 73, 201)(41, 169, 71, 199)(42, 170, 76, 204)(45, 173, 82, 210)(46, 174, 84, 212)(47, 175, 86, 214)(48, 176, 81, 209)(50, 178, 91, 219)(51, 179, 92, 220)(53, 181, 96, 224)(54, 182, 94, 222)(55, 183, 99, 227)(57, 185, 103, 231)(60, 188, 102, 230)(62, 190, 93, 221)(64, 192, 87, 215)(65, 193, 98, 226)(66, 194, 97, 225)(67, 195, 101, 229)(70, 198, 85, 213)(72, 200, 112, 240)(74, 202, 89, 217)(75, 203, 88, 216)(77, 205, 100, 228)(78, 206, 90, 218)(79, 207, 83, 211)(80, 208, 113, 241)(95, 223, 122, 250)(104, 232, 114, 242)(105, 233, 124, 252)(106, 234, 119, 247)(107, 235, 125, 253)(108, 236, 118, 246)(109, 237, 116, 244)(110, 238, 121, 249)(111, 239, 120, 248)(115, 243, 127, 255)(117, 245, 128, 256)(123, 251, 126, 254)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 306, 434, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 316, 444, 362, 490, 318, 446, 289, 417, 272, 400)(265, 393, 275, 403, 294, 422, 326, 454, 367, 495, 330, 458, 296, 424, 276, 404)(267, 395, 279, 407, 301, 429, 339, 467, 372, 500, 341, 469, 302, 430, 280, 408)(269, 397, 283, 411, 307, 435, 349, 477, 377, 505, 353, 481, 309, 437, 284, 412)(273, 401, 290, 418, 320, 448, 348, 476, 371, 499, 338, 466, 321, 449, 291, 419)(277, 405, 297, 425, 331, 459, 352, 480, 373, 501, 340, 468, 333, 461, 298, 426)(281, 409, 303, 431, 343, 471, 325, 453, 361, 489, 315, 443, 344, 472, 304, 432)(285, 413, 310, 438, 354, 482, 329, 457, 363, 491, 317, 445, 356, 484, 311, 439)(287, 415, 313, 441, 360, 488, 332, 460, 346, 474, 305, 433, 345, 473, 314, 442)(292, 420, 322, 450, 337, 465, 300, 428, 336, 464, 370, 498, 355, 483, 323, 451)(295, 423, 327, 455, 358, 486, 312, 440, 357, 485, 319, 447, 364, 492, 328, 456)(299, 427, 334, 462, 342, 470, 374, 502, 351, 479, 308, 436, 350, 478, 335, 463)(324, 452, 365, 493, 380, 508, 359, 487, 379, 507, 368, 496, 381, 509, 366, 494)(347, 475, 375, 503, 383, 511, 369, 497, 382, 510, 378, 506, 384, 512, 376, 504)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 280)(17, 264)(18, 292)(19, 283)(20, 295)(21, 266)(22, 299)(23, 300)(24, 272)(25, 268)(26, 305)(27, 275)(28, 308)(29, 270)(30, 312)(31, 271)(32, 315)(33, 317)(34, 319)(35, 314)(36, 274)(37, 324)(38, 325)(39, 276)(40, 329)(41, 327)(42, 332)(43, 278)(44, 279)(45, 338)(46, 340)(47, 342)(48, 337)(49, 282)(50, 347)(51, 348)(52, 284)(53, 352)(54, 350)(55, 355)(56, 286)(57, 359)(58, 291)(59, 288)(60, 358)(61, 289)(62, 349)(63, 290)(64, 343)(65, 354)(66, 353)(67, 357)(68, 293)(69, 294)(70, 341)(71, 297)(72, 368)(73, 296)(74, 345)(75, 344)(76, 298)(77, 356)(78, 346)(79, 339)(80, 369)(81, 304)(82, 301)(83, 335)(84, 302)(85, 326)(86, 303)(87, 320)(88, 331)(89, 330)(90, 334)(91, 306)(92, 307)(93, 318)(94, 310)(95, 378)(96, 309)(97, 322)(98, 321)(99, 311)(100, 333)(101, 323)(102, 316)(103, 313)(104, 370)(105, 380)(106, 375)(107, 381)(108, 374)(109, 372)(110, 377)(111, 376)(112, 328)(113, 336)(114, 360)(115, 383)(116, 365)(117, 384)(118, 364)(119, 362)(120, 367)(121, 366)(122, 351)(123, 382)(124, 361)(125, 363)(126, 379)(127, 371)(128, 373)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2019
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2015 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * R)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^-1 * R * Y2^-1 * Y1 * Y2 * R * Y2, (Y1 * Y2 * Y1 * Y2^-1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 24, 152)(18, 146, 36, 164)(19, 147, 27, 155)(20, 148, 39, 167)(22, 150, 43, 171)(23, 151, 44, 172)(26, 154, 49, 177)(28, 156, 52, 180)(30, 158, 56, 184)(32, 160, 59, 187)(33, 161, 61, 189)(34, 162, 63, 191)(35, 163, 58, 186)(37, 165, 50, 178)(38, 166, 68, 196)(40, 168, 71, 199)(41, 169, 69, 197)(42, 170, 72, 200)(45, 173, 75, 203)(46, 174, 77, 205)(47, 175, 79, 207)(48, 176, 74, 202)(51, 179, 84, 212)(53, 181, 87, 215)(54, 182, 85, 213)(55, 183, 88, 216)(57, 185, 89, 217)(60, 188, 76, 204)(62, 190, 96, 224)(64, 192, 81, 209)(65, 193, 80, 208)(66, 194, 82, 210)(67, 195, 98, 226)(70, 198, 100, 228)(73, 201, 101, 229)(78, 206, 108, 236)(83, 211, 110, 238)(86, 214, 112, 240)(90, 218, 103, 231)(91, 219, 102, 230)(92, 220, 104, 232)(93, 221, 114, 242)(94, 222, 106, 234)(95, 223, 116, 244)(97, 225, 111, 239)(99, 227, 109, 237)(105, 233, 120, 248)(107, 235, 122, 250)(113, 241, 124, 252)(115, 243, 126, 254)(117, 245, 125, 253)(118, 246, 119, 247)(121, 249, 128, 256)(123, 251, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 293, 421, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 306, 434, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 316, 444, 299, 427, 318, 446, 289, 417, 272, 400)(265, 393, 275, 403, 294, 422, 323, 451, 292, 420, 322, 450, 296, 424, 276, 404)(267, 395, 279, 407, 301, 429, 332, 460, 312, 440, 334, 462, 302, 430, 280, 408)(269, 397, 283, 411, 307, 435, 339, 467, 305, 433, 338, 466, 309, 437, 284, 412)(273, 401, 290, 418, 320, 448, 298, 426, 277, 405, 297, 425, 321, 449, 291, 419)(281, 409, 303, 431, 336, 464, 311, 439, 285, 413, 310, 438, 337, 465, 304, 432)(287, 415, 313, 441, 346, 474, 328, 456, 352, 480, 371, 499, 347, 475, 314, 442)(295, 423, 325, 453, 355, 483, 373, 501, 354, 482, 319, 447, 353, 481, 326, 454)(300, 428, 329, 457, 358, 486, 344, 472, 364, 492, 377, 505, 359, 487, 330, 458)(308, 436, 341, 469, 367, 495, 379, 507, 366, 494, 335, 463, 365, 493, 342, 470)(315, 443, 348, 476, 324, 452, 351, 479, 317, 445, 350, 478, 327, 455, 349, 477)(331, 459, 360, 488, 340, 468, 363, 491, 333, 461, 362, 490, 343, 471, 361, 489)(345, 473, 369, 497, 381, 509, 372, 500, 382, 510, 374, 502, 356, 484, 370, 498)(357, 485, 375, 503, 383, 511, 378, 506, 384, 512, 380, 508, 368, 496, 376, 504)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 280)(17, 264)(18, 292)(19, 283)(20, 295)(21, 266)(22, 299)(23, 300)(24, 272)(25, 268)(26, 305)(27, 275)(28, 308)(29, 270)(30, 312)(31, 271)(32, 315)(33, 317)(34, 319)(35, 314)(36, 274)(37, 306)(38, 324)(39, 276)(40, 327)(41, 325)(42, 328)(43, 278)(44, 279)(45, 331)(46, 333)(47, 335)(48, 330)(49, 282)(50, 293)(51, 340)(52, 284)(53, 343)(54, 341)(55, 344)(56, 286)(57, 345)(58, 291)(59, 288)(60, 332)(61, 289)(62, 352)(63, 290)(64, 337)(65, 336)(66, 338)(67, 354)(68, 294)(69, 297)(70, 356)(71, 296)(72, 298)(73, 357)(74, 304)(75, 301)(76, 316)(77, 302)(78, 364)(79, 303)(80, 321)(81, 320)(82, 322)(83, 366)(84, 307)(85, 310)(86, 368)(87, 309)(88, 311)(89, 313)(90, 359)(91, 358)(92, 360)(93, 370)(94, 362)(95, 372)(96, 318)(97, 367)(98, 323)(99, 365)(100, 326)(101, 329)(102, 347)(103, 346)(104, 348)(105, 376)(106, 350)(107, 378)(108, 334)(109, 355)(110, 339)(111, 353)(112, 342)(113, 380)(114, 349)(115, 382)(116, 351)(117, 381)(118, 375)(119, 374)(120, 361)(121, 384)(122, 363)(123, 383)(124, 369)(125, 373)(126, 371)(127, 379)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2018
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2016 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-1, Y2^8, Y1^8, (Y2^-1 * Y1 * Y2^-2)^2, (Y2 * Y1^-2 * Y2)^2, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-2 * Y2 * Y1^-1, Y1^-1 * Y2 * Y1^-1 * Y2^2 * Y1^2 * Y2^-1 * Y1^-2 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 109, 237, 70, 198, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 79, 207, 104, 232, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 105, 233, 126, 254, 92, 220, 44, 172, 17, 145)(10, 138, 25, 153, 61, 189, 103, 231, 119, 247, 94, 222, 46, 174, 27, 155)(12, 140, 30, 158, 62, 190, 99, 227, 124, 252, 89, 217, 74, 202, 32, 160)(15, 143, 38, 166, 76, 204, 117, 245, 122, 250, 90, 218, 43, 171, 36, 164)(18, 146, 45, 173, 93, 221, 60, 188, 111, 239, 67, 195, 86, 214, 41, 169)(19, 147, 47, 175, 24, 152, 59, 187, 110, 238, 123, 251, 88, 216, 49, 177)(22, 150, 55, 183, 31, 159, 71, 199, 115, 243, 69, 197, 85, 213, 53, 181)(26, 154, 63, 191, 113, 241, 78, 206, 84, 212, 121, 249, 108, 236, 56, 184)(28, 156, 66, 194, 91, 219, 73, 201, 102, 230, 50, 178, 100, 228, 68, 196)(33, 161, 75, 203, 114, 242, 65, 193, 96, 224, 48, 176, 97, 225, 77, 205)(37, 165, 81, 209, 95, 223, 58, 186, 106, 234, 54, 182, 107, 235, 80, 208)(39, 167, 72, 200, 101, 229, 120, 248, 83, 211, 42, 170, 87, 215, 82, 210)(64, 192, 98, 226, 125, 253, 116, 244, 127, 255, 118, 246, 128, 256, 112, 240)(257, 385, 259, 387, 266, 394, 282, 410, 320, 448, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 354, 482, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 328, 456, 368, 496, 316, 444, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 345, 473, 381, 509, 352, 480, 302, 430, 274, 402)(267, 395, 284, 412, 323, 451, 294, 422, 338, 466, 363, 491, 318, 446, 281, 409)(269, 397, 289, 417, 332, 460, 367, 495, 384, 512, 361, 489, 317, 445, 286, 414)(270, 398, 292, 420, 300, 428, 347, 475, 319, 447, 283, 411, 321, 449, 293, 421)(272, 400, 297, 425, 341, 469, 326, 454, 372, 500, 380, 508, 344, 472, 298, 426)(276, 404, 306, 434, 357, 485, 311, 439, 364, 492, 314, 442, 279, 407, 303, 431)(277, 405, 309, 437, 342, 470, 324, 452, 353, 481, 305, 433, 355, 483, 310, 438)(285, 413, 325, 453, 291, 419, 336, 464, 343, 471, 379, 507, 369, 497, 322, 450)(288, 416, 329, 457, 348, 476, 315, 443, 349, 477, 337, 465, 370, 498, 327, 455)(290, 418, 334, 462, 366, 494, 382, 510, 374, 502, 335, 463, 371, 499, 331, 459)(296, 424, 339, 467, 375, 503, 360, 488, 383, 511, 365, 493, 378, 506, 340, 468)(301, 429, 350, 478, 376, 504, 358, 486, 330, 458, 346, 474, 313, 441, 351, 479)(307, 435, 359, 487, 308, 436, 362, 490, 377, 505, 373, 501, 333, 461, 356, 484)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 303)(24, 265)(25, 267)(26, 320)(27, 321)(28, 323)(29, 325)(30, 269)(31, 328)(32, 329)(33, 332)(34, 334)(35, 336)(36, 300)(37, 270)(38, 338)(39, 271)(40, 339)(41, 341)(42, 272)(43, 345)(44, 347)(45, 350)(46, 274)(47, 276)(48, 354)(49, 355)(50, 357)(51, 359)(52, 362)(53, 342)(54, 277)(55, 364)(56, 278)(57, 351)(58, 279)(59, 349)(60, 280)(61, 286)(62, 281)(63, 283)(64, 295)(65, 293)(66, 285)(67, 294)(68, 353)(69, 291)(70, 372)(71, 288)(72, 368)(73, 348)(74, 346)(75, 290)(76, 367)(77, 356)(78, 366)(79, 371)(80, 343)(81, 370)(82, 363)(83, 375)(84, 296)(85, 326)(86, 324)(87, 379)(88, 298)(89, 381)(90, 313)(91, 319)(92, 315)(93, 337)(94, 376)(95, 301)(96, 302)(97, 305)(98, 312)(99, 310)(100, 307)(101, 311)(102, 330)(103, 308)(104, 383)(105, 317)(106, 377)(107, 318)(108, 314)(109, 378)(110, 382)(111, 384)(112, 316)(113, 322)(114, 327)(115, 331)(116, 380)(117, 333)(118, 335)(119, 360)(120, 358)(121, 373)(122, 340)(123, 369)(124, 344)(125, 352)(126, 374)(127, 365)(128, 361)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2017
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.2017 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2 * Y3 * Y2)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3^-1 * Y2 * Y3^-3 * Y2)^2, Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3^-1, Y3 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3, (Y3^-1 * Y1^-1)^8, (Y3 * Y2)^8 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 280, 408)(274, 402, 292, 420)(275, 403, 283, 411)(276, 404, 295, 423)(278, 406, 299, 427)(279, 407, 300, 428)(282, 410, 305, 433)(284, 412, 308, 436)(286, 414, 312, 440)(288, 416, 315, 443)(289, 417, 317, 445)(290, 418, 319, 447)(291, 419, 314, 442)(293, 421, 324, 452)(294, 422, 325, 453)(296, 424, 329, 457)(297, 425, 327, 455)(298, 426, 332, 460)(301, 429, 338, 466)(302, 430, 340, 468)(303, 431, 342, 470)(304, 432, 337, 465)(306, 434, 347, 475)(307, 435, 348, 476)(309, 437, 352, 480)(310, 438, 350, 478)(311, 439, 355, 483)(313, 441, 359, 487)(316, 444, 358, 486)(318, 446, 349, 477)(320, 448, 343, 471)(321, 449, 354, 482)(322, 450, 353, 481)(323, 451, 357, 485)(326, 454, 341, 469)(328, 456, 368, 496)(330, 458, 345, 473)(331, 459, 344, 472)(333, 461, 356, 484)(334, 462, 346, 474)(335, 463, 339, 467)(336, 464, 369, 497)(351, 479, 378, 506)(360, 488, 370, 498)(361, 489, 380, 508)(362, 490, 375, 503)(363, 491, 381, 509)(364, 492, 374, 502)(365, 493, 372, 500)(366, 494, 377, 505)(367, 495, 376, 504)(371, 499, 383, 511)(373, 501, 384, 512)(379, 507, 382, 510)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 290)(18, 293)(19, 294)(20, 265)(21, 297)(22, 266)(23, 301)(24, 267)(25, 303)(26, 306)(27, 307)(28, 269)(29, 310)(30, 270)(31, 313)(32, 316)(33, 272)(34, 320)(35, 273)(36, 322)(37, 278)(38, 326)(39, 327)(40, 276)(41, 331)(42, 277)(43, 334)(44, 336)(45, 339)(46, 280)(47, 343)(48, 281)(49, 345)(50, 286)(51, 349)(52, 350)(53, 284)(54, 354)(55, 285)(56, 357)(57, 360)(58, 287)(59, 344)(60, 362)(61, 356)(62, 289)(63, 364)(64, 348)(65, 291)(66, 337)(67, 292)(68, 365)(69, 361)(70, 367)(71, 358)(72, 295)(73, 363)(74, 296)(75, 352)(76, 346)(77, 298)(78, 342)(79, 299)(80, 370)(81, 300)(82, 321)(83, 372)(84, 333)(85, 302)(86, 374)(87, 325)(88, 304)(89, 314)(90, 305)(91, 375)(92, 371)(93, 377)(94, 335)(95, 308)(96, 373)(97, 309)(98, 329)(99, 323)(100, 311)(101, 319)(102, 312)(103, 379)(104, 332)(105, 315)(106, 318)(107, 317)(108, 328)(109, 380)(110, 324)(111, 330)(112, 381)(113, 382)(114, 355)(115, 338)(116, 341)(117, 340)(118, 351)(119, 383)(120, 347)(121, 353)(122, 384)(123, 368)(124, 359)(125, 366)(126, 378)(127, 369)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2016
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.2018 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|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 * Y3 * Y1^-1)^2, (Y3 * Y1 * Y3 * Y1^-1)^2, Y1^8, Y1^-1 * Y3 * Y1^3 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 57, 185, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 92, 220, 56, 184, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 69, 197, 111, 239, 74, 202, 40, 168, 20, 148)(12, 140, 25, 153, 47, 175, 86, 214, 118, 246, 91, 219, 50, 178, 26, 154)(16, 144, 33, 161, 61, 189, 106, 234, 114, 242, 99, 227, 54, 182, 29, 157)(17, 145, 34, 162, 63, 191, 102, 230, 115, 243, 83, 211, 65, 193, 35, 163)(21, 149, 41, 169, 75, 203, 110, 238, 122, 250, 98, 226, 77, 205, 42, 170)(24, 152, 45, 173, 82, 210, 62, 190, 107, 235, 117, 245, 85, 213, 46, 174)(28, 156, 53, 181, 96, 224, 76, 204, 104, 232, 58, 186, 89, 217, 49, 177)(32, 160, 59, 187, 87, 215, 70, 198, 95, 223, 52, 180, 94, 222, 60, 188)(36, 164, 66, 194, 90, 218, 73, 201, 101, 229, 55, 183, 100, 228, 67, 195)(39, 167, 71, 199, 93, 221, 68, 196, 84, 212, 48, 176, 88, 216, 72, 200)(43, 171, 78, 206, 105, 233, 119, 247, 109, 237, 64, 192, 108, 236, 79, 207)(44, 172, 80, 208, 113, 241, 97, 225, 121, 249, 112, 240, 116, 244, 81, 209)(103, 231, 120, 248, 126, 254, 124, 252, 127, 255, 125, 253, 128, 256, 123, 251)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 290)(20, 295)(21, 266)(22, 299)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 311)(31, 314)(32, 271)(33, 318)(34, 275)(35, 320)(36, 274)(37, 324)(38, 326)(39, 276)(40, 329)(41, 327)(42, 332)(43, 278)(44, 279)(45, 339)(46, 340)(47, 343)(48, 281)(49, 282)(50, 346)(51, 349)(52, 283)(53, 353)(54, 354)(55, 286)(56, 358)(57, 359)(58, 287)(59, 361)(60, 338)(61, 347)(62, 289)(63, 342)(64, 291)(65, 366)(66, 364)(67, 341)(68, 293)(69, 355)(70, 294)(71, 297)(72, 368)(73, 296)(74, 345)(75, 350)(76, 298)(77, 356)(78, 360)(79, 362)(80, 370)(81, 371)(82, 316)(83, 301)(84, 302)(85, 323)(86, 319)(87, 303)(88, 375)(89, 330)(90, 306)(91, 317)(92, 376)(93, 307)(94, 331)(95, 369)(96, 373)(97, 309)(98, 310)(99, 325)(100, 333)(101, 372)(102, 312)(103, 313)(104, 334)(105, 315)(106, 335)(107, 380)(108, 322)(109, 381)(110, 321)(111, 379)(112, 328)(113, 351)(114, 336)(115, 337)(116, 357)(117, 352)(118, 382)(119, 344)(120, 348)(121, 383)(122, 384)(123, 367)(124, 363)(125, 365)(126, 374)(127, 377)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2015
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2019 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 135>$ (small group id <128, 135>)
Aut   = $<256, 6665>$ (small group id <256, 6665>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3 * Y1^4 * Y3^-1 * Y1^-3, Y1^2 * Y3^-1 * Y1^4 * Y3 * Y1^2, Y1 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2 * Y3 * Y1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 44, 172, 37, 165, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 51, 179, 43, 171, 56, 184, 30, 158, 14, 142)(9, 137, 19, 147, 38, 166, 46, 174, 24, 152, 45, 173, 40, 168, 20, 148)(12, 140, 25, 153, 47, 175, 42, 170, 21, 149, 41, 169, 50, 178, 26, 154)(16, 144, 33, 161, 60, 188, 79, 207, 67, 195, 85, 213, 54, 182, 29, 157)(17, 145, 34, 162, 62, 190, 89, 217, 57, 185, 73, 201, 64, 192, 35, 163)(28, 156, 53, 181, 82, 210, 72, 200, 88, 216, 104, 232, 77, 205, 49, 177)(32, 160, 58, 186, 78, 206, 66, 194, 36, 164, 65, 193, 75, 203, 59, 187)(39, 167, 69, 197, 99, 227, 101, 229, 74, 202, 48, 176, 76, 204, 70, 198)(52, 180, 80, 208, 68, 196, 87, 215, 55, 183, 86, 214, 71, 199, 81, 209)(61, 189, 93, 221, 103, 231, 98, 226, 111, 239, 122, 250, 107, 235, 91, 219)(63, 191, 95, 223, 102, 230, 120, 248, 113, 241, 90, 218, 114, 242, 96, 224)(83, 211, 108, 236, 119, 247, 112, 240, 121, 249, 118, 246, 100, 228, 106, 234)(84, 212, 109, 237, 97, 225, 115, 243, 92, 220, 105, 233, 94, 222, 110, 238)(116, 244, 126, 254, 127, 255, 124, 252, 128, 256, 123, 251, 117, 245, 125, 253)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 292)(19, 290)(20, 295)(21, 266)(22, 299)(23, 300)(24, 267)(25, 304)(26, 305)(27, 308)(28, 269)(29, 270)(30, 311)(31, 313)(32, 271)(33, 317)(34, 275)(35, 319)(36, 274)(37, 323)(38, 324)(39, 276)(40, 327)(41, 325)(42, 328)(43, 278)(44, 279)(45, 329)(46, 330)(47, 331)(48, 281)(49, 282)(50, 334)(51, 335)(52, 283)(53, 339)(54, 340)(55, 286)(56, 344)(57, 287)(58, 346)(59, 347)(60, 348)(61, 289)(62, 350)(63, 291)(64, 353)(65, 351)(66, 354)(67, 293)(68, 294)(69, 297)(70, 356)(71, 296)(72, 298)(73, 301)(74, 302)(75, 303)(76, 358)(77, 359)(78, 306)(79, 307)(80, 361)(81, 362)(82, 363)(83, 309)(84, 310)(85, 367)(86, 365)(87, 368)(88, 312)(89, 369)(90, 314)(91, 315)(92, 316)(93, 372)(94, 318)(95, 321)(96, 373)(97, 320)(98, 322)(99, 370)(100, 326)(101, 375)(102, 332)(103, 333)(104, 377)(105, 336)(106, 337)(107, 338)(108, 379)(109, 342)(110, 380)(111, 341)(112, 343)(113, 345)(114, 355)(115, 381)(116, 349)(117, 352)(118, 382)(119, 357)(120, 383)(121, 360)(122, 384)(123, 364)(124, 366)(125, 371)(126, 374)(127, 376)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2014
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2020 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 61, 38, 18, 8)(6, 13, 27, 53, 92, 60, 30, 14)(9, 19, 39, 72, 108, 75, 42, 20)(12, 25, 49, 86, 115, 91, 52, 26)(16, 33, 64, 93, 110, 88, 50, 34)(17, 35, 67, 98, 111, 89, 51, 36)(21, 43, 76, 95, 118, 97, 77, 44)(24, 47, 82, 65, 102, 68, 85, 48)(28, 55, 40, 73, 100, 62, 83, 56)(29, 57, 41, 74, 107, 71, 84, 58)(32, 59, 87, 114, 124, 120, 101, 63)(37, 54, 90, 113, 125, 123, 106, 70)(45, 78, 104, 66, 103, 69, 105, 79)(46, 80, 109, 94, 117, 96, 112, 81)(99, 116, 126, 121, 127, 122, 128, 119)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 62)(33, 65)(34, 66)(35, 68)(36, 69)(38, 71)(39, 70)(42, 63)(43, 64)(44, 67)(47, 83)(48, 84)(49, 87)(52, 90)(53, 93)(55, 94)(56, 95)(57, 96)(58, 97)(60, 98)(61, 99)(72, 88)(73, 86)(74, 91)(75, 89)(76, 101)(77, 106)(78, 100)(79, 107)(80, 110)(81, 111)(82, 113)(85, 114)(92, 116)(102, 121)(103, 122)(104, 123)(105, 120)(108, 119)(109, 124)(112, 125)(115, 126)(117, 127)(118, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2021
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2021 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^2 * T2 * T1^-4 * T2 * T1^2, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 58, 29, 57, 85, 65, 34)(17, 35, 66, 89, 61, 40, 68, 36)(28, 55, 79, 51, 78, 103, 84, 56)(32, 62, 80, 70, 37, 69, 76, 63)(41, 50, 77, 101, 75, 74, 100, 72)(54, 81, 71, 88, 59, 87, 73, 82)(64, 92, 104, 91, 110, 123, 109, 93)(67, 90, 102, 120, 113, 98, 117, 96)(83, 107, 119, 106, 121, 118, 99, 108)(86, 105, 95, 115, 94, 112, 97, 111)(114, 125, 127, 124, 128, 122, 116, 126)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 61)(33, 64)(34, 53)(35, 47)(36, 67)(38, 57)(39, 71)(42, 73)(43, 74)(44, 56)(48, 75)(49, 76)(52, 80)(55, 83)(58, 86)(60, 78)(62, 90)(63, 91)(65, 94)(66, 95)(68, 97)(69, 98)(70, 93)(72, 99)(77, 102)(79, 104)(81, 105)(82, 106)(84, 109)(85, 110)(87, 112)(88, 108)(89, 113)(92, 114)(96, 116)(100, 117)(101, 119)(103, 121)(107, 122)(111, 124)(115, 126)(118, 125)(120, 127)(123, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2020
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2022 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2^3 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^3 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 63, 101, 66, 34, 16)(9, 19, 40, 73, 108, 75, 42, 20)(11, 23, 47, 82, 111, 85, 49, 24)(13, 27, 55, 92, 118, 94, 57, 28)(17, 35, 67, 104, 123, 105, 68, 36)(21, 43, 76, 100, 121, 103, 77, 44)(25, 50, 86, 114, 128, 115, 87, 51)(29, 58, 95, 110, 126, 113, 96, 59)(31, 61, 39, 72, 89, 52, 88, 62)(33, 64, 41, 74, 98, 60, 97, 65)(37, 69, 81, 46, 80, 54, 91, 70)(45, 78, 84, 48, 83, 56, 93, 79)(71, 106, 120, 99, 119, 102, 122, 107)(90, 116, 125, 109, 124, 112, 127, 117)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 186)(162, 178)(163, 177)(164, 185)(166, 199)(168, 187)(170, 179)(171, 175)(172, 183)(181, 218)(189, 227)(190, 228)(191, 210)(192, 230)(193, 231)(194, 220)(195, 214)(196, 223)(197, 216)(198, 225)(200, 232)(201, 213)(202, 233)(203, 222)(204, 215)(205, 224)(206, 217)(207, 226)(208, 237)(209, 238)(211, 240)(212, 241)(219, 242)(221, 243)(229, 244)(234, 239)(235, 246)(236, 245)(247, 252)(248, 256)(249, 255)(250, 254)(251, 253)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2026
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2023 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-3 * T1 * T2^4 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1, T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 48, 45, 65, 34, 16)(9, 19, 40, 70, 37, 54, 42, 20)(11, 23, 47, 33, 60, 79, 49, 24)(13, 27, 55, 84, 52, 39, 57, 28)(17, 35, 67, 44, 21, 43, 69, 36)(25, 50, 81, 59, 29, 58, 83, 51)(31, 61, 90, 68, 96, 115, 91, 62)(41, 66, 97, 117, 98, 74, 100, 72)(46, 75, 102, 82, 108, 121, 103, 76)(56, 80, 109, 123, 110, 88, 112, 86)(63, 92, 71, 95, 64, 94, 73, 93)(77, 104, 85, 107, 78, 106, 87, 105)(89, 113, 125, 116, 126, 118, 99, 114)(101, 119, 127, 122, 128, 124, 111, 120)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 191)(162, 192)(163, 194)(164, 196)(166, 181)(168, 199)(170, 201)(171, 202)(172, 190)(175, 205)(177, 206)(178, 208)(179, 210)(183, 213)(185, 215)(186, 216)(187, 204)(189, 217)(193, 224)(195, 211)(197, 209)(198, 226)(200, 227)(203, 229)(207, 236)(212, 238)(214, 239)(218, 230)(219, 231)(220, 232)(221, 244)(222, 234)(223, 242)(225, 237)(228, 240)(233, 250)(235, 248)(241, 252)(243, 254)(245, 253)(246, 247)(249, 256)(251, 255)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2025
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2024 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1, (T2 * T1^-1 * T2^2)^2, T2^8, T1^8, T2 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-2 * T1 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 63, 39, 15, 5)(2, 7, 19, 48, 97, 56, 22, 8)(4, 12, 31, 71, 111, 59, 24, 9)(6, 17, 43, 88, 124, 94, 46, 18)(11, 28, 65, 38, 81, 105, 61, 25)(13, 33, 60, 110, 128, 102, 69, 30)(14, 36, 79, 113, 62, 27, 44, 37)(16, 41, 84, 68, 116, 123, 87, 42)(20, 50, 23, 55, 106, 126, 95, 47)(21, 53, 104, 66, 96, 49, 85, 54)(29, 67, 112, 122, 86, 78, 35, 64)(32, 72, 109, 58, 91, 80, 90, 70)(34, 76, 115, 125, 117, 77, 108, 74)(40, 82, 118, 101, 127, 107, 121, 83)(45, 92, 57, 99, 73, 89, 119, 93)(51, 100, 75, 114, 120, 103, 52, 98)(129, 130, 134, 144, 168, 162, 141, 132)(131, 137, 151, 185, 235, 196, 157, 139)(133, 142, 163, 205, 229, 179, 148, 135)(136, 149, 180, 230, 253, 218, 172, 145)(138, 153, 188, 228, 246, 217, 171, 155)(140, 158, 193, 232, 251, 216, 201, 160)(143, 166, 197, 231, 249, 220, 174, 164)(146, 173, 219, 187, 238, 189, 213, 169)(147, 175, 159, 198, 243, 195, 212, 177)(150, 183, 152, 186, 236, 206, 215, 181)(154, 190, 240, 204, 211, 248, 234, 184)(156, 192, 165, 208, 221, 254, 242, 194)(161, 202, 237, 207, 222, 176, 224, 203)(167, 199, 223, 247, 210, 170, 214, 209)(178, 226, 182, 233, 250, 241, 200, 227)(191, 225, 252, 244, 255, 245, 256, 239)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2027
Transitivity :: ET+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.2025 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1, T2^3 * T1 * T2^3 * T1 * T2^-1 * T1 * T2^-1 * T1, T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^3 * T1 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 63, 191, 101, 229, 66, 194, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 73, 201, 108, 236, 75, 203, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 82, 210, 111, 239, 85, 213, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 92, 220, 118, 246, 94, 222, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 104, 232, 123, 251, 105, 233, 68, 196, 36, 164)(21, 149, 43, 171, 76, 204, 100, 228, 121, 249, 103, 231, 77, 205, 44, 172)(25, 153, 50, 178, 86, 214, 114, 242, 128, 256, 115, 243, 87, 215, 51, 179)(29, 157, 58, 186, 95, 223, 110, 238, 126, 254, 113, 241, 96, 224, 59, 187)(31, 159, 61, 189, 39, 167, 72, 200, 89, 217, 52, 180, 88, 216, 62, 190)(33, 161, 64, 192, 41, 169, 74, 202, 98, 226, 60, 188, 97, 225, 65, 193)(37, 165, 69, 197, 81, 209, 46, 174, 80, 208, 54, 182, 91, 219, 70, 198)(45, 173, 78, 206, 84, 212, 48, 176, 83, 211, 56, 184, 93, 221, 79, 207)(71, 199, 106, 234, 120, 248, 99, 227, 119, 247, 102, 230, 122, 250, 107, 235)(90, 218, 116, 244, 125, 253, 109, 237, 124, 252, 112, 240, 127, 255, 117, 245)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 186)(33, 144)(34, 178)(35, 177)(36, 185)(37, 146)(38, 199)(39, 147)(40, 187)(41, 148)(42, 179)(43, 175)(44, 183)(45, 150)(46, 151)(47, 171)(48, 152)(49, 163)(50, 162)(51, 170)(52, 154)(53, 218)(54, 155)(55, 172)(56, 156)(57, 164)(58, 160)(59, 168)(60, 158)(61, 227)(62, 228)(63, 210)(64, 230)(65, 231)(66, 220)(67, 214)(68, 223)(69, 216)(70, 225)(71, 166)(72, 232)(73, 213)(74, 233)(75, 222)(76, 215)(77, 224)(78, 217)(79, 226)(80, 237)(81, 238)(82, 191)(83, 240)(84, 241)(85, 201)(86, 195)(87, 204)(88, 197)(89, 206)(90, 181)(91, 242)(92, 194)(93, 243)(94, 203)(95, 196)(96, 205)(97, 198)(98, 207)(99, 189)(100, 190)(101, 244)(102, 192)(103, 193)(104, 200)(105, 202)(106, 239)(107, 246)(108, 245)(109, 208)(110, 209)(111, 234)(112, 211)(113, 212)(114, 219)(115, 221)(116, 229)(117, 236)(118, 235)(119, 252)(120, 256)(121, 255)(122, 254)(123, 253)(124, 247)(125, 251)(126, 250)(127, 249)(128, 248)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2023
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2026 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^-3 * T1 * T2^4 * T1 * T2^-1, T1 * T2 * T1 * T2^-1 * T1 * T2^-3 * T1 * T2^-1, T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1, (T2^-1 * T1)^8 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 48, 176, 45, 173, 65, 193, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 70, 198, 37, 165, 54, 182, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 33, 161, 60, 188, 79, 207, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 84, 212, 52, 180, 39, 167, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 69, 197, 36, 164)(25, 153, 50, 178, 81, 209, 59, 187, 29, 157, 58, 186, 83, 211, 51, 179)(31, 159, 61, 189, 90, 218, 68, 196, 96, 224, 115, 243, 91, 219, 62, 190)(41, 169, 66, 194, 97, 225, 117, 245, 98, 226, 74, 202, 100, 228, 72, 200)(46, 174, 75, 203, 102, 230, 82, 210, 108, 236, 121, 249, 103, 231, 76, 204)(56, 184, 80, 208, 109, 237, 123, 251, 110, 238, 88, 216, 112, 240, 86, 214)(63, 191, 92, 220, 71, 199, 95, 223, 64, 192, 94, 222, 73, 201, 93, 221)(77, 205, 104, 232, 85, 213, 107, 235, 78, 206, 106, 234, 87, 215, 105, 233)(89, 217, 113, 241, 125, 253, 116, 244, 126, 254, 118, 246, 99, 227, 114, 242)(101, 229, 119, 247, 127, 255, 122, 250, 128, 256, 124, 252, 111, 239, 120, 248)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 191)(33, 144)(34, 192)(35, 194)(36, 196)(37, 146)(38, 181)(39, 147)(40, 199)(41, 148)(42, 201)(43, 202)(44, 190)(45, 150)(46, 151)(47, 205)(48, 152)(49, 206)(50, 208)(51, 210)(52, 154)(53, 166)(54, 155)(55, 213)(56, 156)(57, 215)(58, 216)(59, 204)(60, 158)(61, 217)(62, 172)(63, 160)(64, 162)(65, 224)(66, 163)(67, 211)(68, 164)(69, 209)(70, 226)(71, 168)(72, 227)(73, 170)(74, 171)(75, 229)(76, 187)(77, 175)(78, 177)(79, 236)(80, 178)(81, 197)(82, 179)(83, 195)(84, 238)(85, 183)(86, 239)(87, 185)(88, 186)(89, 189)(90, 230)(91, 231)(92, 232)(93, 244)(94, 234)(95, 242)(96, 193)(97, 237)(98, 198)(99, 200)(100, 240)(101, 203)(102, 218)(103, 219)(104, 220)(105, 250)(106, 222)(107, 248)(108, 207)(109, 225)(110, 212)(111, 214)(112, 228)(113, 252)(114, 223)(115, 254)(116, 221)(117, 253)(118, 247)(119, 246)(120, 235)(121, 256)(122, 233)(123, 255)(124, 241)(125, 245)(126, 243)(127, 251)(128, 249)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2022
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2027 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1, T2 * T1 * T2 * T1 * T2 * T1^-3 * T2 * T1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 129, 3, 131)(2, 130, 6, 134)(4, 132, 9, 137)(5, 133, 12, 140)(7, 135, 16, 144)(8, 136, 17, 145)(10, 138, 21, 149)(11, 139, 24, 152)(13, 141, 28, 156)(14, 142, 29, 157)(15, 143, 32, 160)(18, 146, 37, 165)(19, 147, 40, 168)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(25, 153, 50, 178)(26, 154, 51, 179)(27, 155, 54, 182)(30, 158, 59, 187)(31, 159, 62, 190)(33, 161, 65, 193)(34, 162, 66, 194)(35, 163, 68, 196)(36, 164, 69, 197)(38, 166, 71, 199)(39, 167, 70, 198)(42, 170, 63, 191)(43, 171, 64, 192)(44, 172, 67, 195)(47, 175, 83, 211)(48, 176, 84, 212)(49, 177, 87, 215)(52, 180, 90, 218)(53, 181, 93, 221)(55, 183, 94, 222)(56, 184, 95, 223)(57, 185, 96, 224)(58, 186, 97, 225)(60, 188, 98, 226)(61, 189, 99, 227)(72, 200, 88, 216)(73, 201, 86, 214)(74, 202, 91, 219)(75, 203, 89, 217)(76, 204, 101, 229)(77, 205, 106, 234)(78, 206, 100, 228)(79, 207, 107, 235)(80, 208, 110, 238)(81, 209, 111, 239)(82, 210, 113, 241)(85, 213, 114, 242)(92, 220, 116, 244)(102, 230, 121, 249)(103, 231, 122, 250)(104, 232, 123, 251)(105, 233, 120, 248)(108, 236, 119, 247)(109, 237, 124, 252)(112, 240, 125, 253)(115, 243, 126, 254)(117, 245, 127, 255)(118, 246, 128, 256)
	L = (1, 130)(2, 133)(3, 135)(4, 129)(5, 139)(6, 141)(7, 143)(8, 131)(9, 147)(10, 132)(11, 151)(12, 153)(13, 155)(14, 134)(15, 159)(16, 161)(17, 163)(18, 136)(19, 167)(20, 137)(21, 171)(22, 138)(23, 150)(24, 175)(25, 177)(26, 140)(27, 181)(28, 183)(29, 185)(30, 142)(31, 189)(32, 187)(33, 192)(34, 144)(35, 195)(36, 145)(37, 182)(38, 146)(39, 200)(40, 201)(41, 202)(42, 148)(43, 204)(44, 149)(45, 206)(46, 208)(47, 210)(48, 152)(49, 214)(50, 162)(51, 164)(52, 154)(53, 220)(54, 218)(55, 168)(56, 156)(57, 169)(58, 157)(59, 215)(60, 158)(61, 166)(62, 211)(63, 160)(64, 221)(65, 230)(66, 231)(67, 226)(68, 213)(69, 233)(70, 165)(71, 212)(72, 236)(73, 228)(74, 235)(75, 170)(76, 223)(77, 172)(78, 232)(79, 173)(80, 237)(81, 174)(82, 193)(83, 184)(84, 186)(85, 176)(86, 243)(87, 242)(88, 178)(89, 179)(90, 241)(91, 180)(92, 188)(93, 238)(94, 245)(95, 246)(96, 240)(97, 205)(98, 239)(99, 244)(100, 190)(101, 191)(102, 196)(103, 197)(104, 194)(105, 207)(106, 198)(107, 199)(108, 203)(109, 222)(110, 216)(111, 217)(112, 209)(113, 253)(114, 252)(115, 219)(116, 254)(117, 224)(118, 225)(119, 227)(120, 229)(121, 255)(122, 256)(123, 234)(124, 248)(125, 251)(126, 249)(127, 250)(128, 247)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2024
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.2028 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y1 * Y2^-3 * R)^2, Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2, Y2^3 * R * Y2^3 * R * Y2^-1 * Y1 * Y2 * Y1, Y2 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 58, 186)(34, 162, 50, 178)(35, 163, 49, 177)(36, 164, 57, 185)(38, 166, 71, 199)(40, 168, 59, 187)(42, 170, 51, 179)(43, 171, 47, 175)(44, 172, 55, 183)(53, 181, 90, 218)(61, 189, 99, 227)(62, 190, 100, 228)(63, 191, 82, 210)(64, 192, 102, 230)(65, 193, 103, 231)(66, 194, 92, 220)(67, 195, 86, 214)(68, 196, 95, 223)(69, 197, 88, 216)(70, 198, 97, 225)(72, 200, 104, 232)(73, 201, 85, 213)(74, 202, 105, 233)(75, 203, 94, 222)(76, 204, 87, 215)(77, 205, 96, 224)(78, 206, 89, 217)(79, 207, 98, 226)(80, 208, 109, 237)(81, 209, 110, 238)(83, 211, 112, 240)(84, 212, 113, 241)(91, 219, 114, 242)(93, 221, 115, 243)(101, 229, 116, 244)(106, 234, 111, 239)(107, 235, 118, 246)(108, 236, 117, 245)(119, 247, 124, 252)(120, 248, 128, 256)(121, 249, 127, 255)(122, 250, 126, 254)(123, 251, 125, 253)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 319, 447, 357, 485, 322, 450, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 329, 457, 364, 492, 331, 459, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 338, 466, 367, 495, 341, 469, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 348, 476, 374, 502, 350, 478, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 360, 488, 379, 507, 361, 489, 324, 452, 292, 420)(277, 405, 299, 427, 332, 460, 356, 484, 377, 505, 359, 487, 333, 461, 300, 428)(281, 409, 306, 434, 342, 470, 370, 498, 384, 512, 371, 499, 343, 471, 307, 435)(285, 413, 314, 442, 351, 479, 366, 494, 382, 510, 369, 497, 352, 480, 315, 443)(287, 415, 317, 445, 295, 423, 328, 456, 345, 473, 308, 436, 344, 472, 318, 446)(289, 417, 320, 448, 297, 425, 330, 458, 354, 482, 316, 444, 353, 481, 321, 449)(293, 421, 325, 453, 337, 465, 302, 430, 336, 464, 310, 438, 347, 475, 326, 454)(301, 429, 334, 462, 340, 468, 304, 432, 339, 467, 312, 440, 349, 477, 335, 463)(327, 455, 362, 490, 376, 504, 355, 483, 375, 503, 358, 486, 378, 506, 363, 491)(346, 474, 372, 500, 381, 509, 365, 493, 380, 508, 368, 496, 383, 511, 373, 501)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 314)(33, 272)(34, 306)(35, 305)(36, 313)(37, 274)(38, 327)(39, 275)(40, 315)(41, 276)(42, 307)(43, 303)(44, 311)(45, 278)(46, 279)(47, 299)(48, 280)(49, 291)(50, 290)(51, 298)(52, 282)(53, 346)(54, 283)(55, 300)(56, 284)(57, 292)(58, 288)(59, 296)(60, 286)(61, 355)(62, 356)(63, 338)(64, 358)(65, 359)(66, 348)(67, 342)(68, 351)(69, 344)(70, 353)(71, 294)(72, 360)(73, 341)(74, 361)(75, 350)(76, 343)(77, 352)(78, 345)(79, 354)(80, 365)(81, 366)(82, 319)(83, 368)(84, 369)(85, 329)(86, 323)(87, 332)(88, 325)(89, 334)(90, 309)(91, 370)(92, 322)(93, 371)(94, 331)(95, 324)(96, 333)(97, 326)(98, 335)(99, 317)(100, 318)(101, 372)(102, 320)(103, 321)(104, 328)(105, 330)(106, 367)(107, 374)(108, 373)(109, 336)(110, 337)(111, 362)(112, 339)(113, 340)(114, 347)(115, 349)(116, 357)(117, 364)(118, 363)(119, 380)(120, 384)(121, 383)(122, 382)(123, 381)(124, 375)(125, 379)(126, 378)(127, 377)(128, 376)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2033
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2029 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2 * R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^8, (R * Y2^2 * Y1)^2, (Y2^-2 * Y1 * Y2^-2)^2, (Y2^-2 * R * Y2^-2)^2, Y2 * Y1 * Y2^-1 * R * Y2^3 * R * Y2^-1 * Y1, Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 63, 191)(34, 162, 64, 192)(35, 163, 66, 194)(36, 164, 68, 196)(38, 166, 53, 181)(40, 168, 71, 199)(42, 170, 73, 201)(43, 171, 74, 202)(44, 172, 62, 190)(47, 175, 77, 205)(49, 177, 78, 206)(50, 178, 80, 208)(51, 179, 82, 210)(55, 183, 85, 213)(57, 185, 87, 215)(58, 186, 88, 216)(59, 187, 76, 204)(61, 189, 89, 217)(65, 193, 96, 224)(67, 195, 83, 211)(69, 197, 81, 209)(70, 198, 98, 226)(72, 200, 99, 227)(75, 203, 101, 229)(79, 207, 108, 236)(84, 212, 110, 238)(86, 214, 111, 239)(90, 218, 102, 230)(91, 219, 103, 231)(92, 220, 104, 232)(93, 221, 116, 244)(94, 222, 106, 234)(95, 223, 114, 242)(97, 225, 109, 237)(100, 228, 112, 240)(105, 233, 122, 250)(107, 235, 120, 248)(113, 241, 124, 252)(115, 243, 126, 254)(117, 245, 125, 253)(118, 246, 119, 247)(121, 249, 128, 256)(123, 251, 127, 255)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 304, 432, 301, 429, 321, 449, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 326, 454, 293, 421, 310, 438, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 289, 417, 316, 444, 335, 463, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 340, 468, 308, 436, 295, 423, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 325, 453, 292, 420)(281, 409, 306, 434, 337, 465, 315, 443, 285, 413, 314, 442, 339, 467, 307, 435)(287, 415, 317, 445, 346, 474, 324, 452, 352, 480, 371, 499, 347, 475, 318, 446)(297, 425, 322, 450, 353, 481, 373, 501, 354, 482, 330, 458, 356, 484, 328, 456)(302, 430, 331, 459, 358, 486, 338, 466, 364, 492, 377, 505, 359, 487, 332, 460)(312, 440, 336, 464, 365, 493, 379, 507, 366, 494, 344, 472, 368, 496, 342, 470)(319, 447, 348, 476, 327, 455, 351, 479, 320, 448, 350, 478, 329, 457, 349, 477)(333, 461, 360, 488, 341, 469, 363, 491, 334, 462, 362, 490, 343, 471, 361, 489)(345, 473, 369, 497, 381, 509, 372, 500, 382, 510, 374, 502, 355, 483, 370, 498)(357, 485, 375, 503, 383, 511, 378, 506, 384, 512, 380, 508, 367, 495, 376, 504)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 319)(33, 272)(34, 320)(35, 322)(36, 324)(37, 274)(38, 309)(39, 275)(40, 327)(41, 276)(42, 329)(43, 330)(44, 318)(45, 278)(46, 279)(47, 333)(48, 280)(49, 334)(50, 336)(51, 338)(52, 282)(53, 294)(54, 283)(55, 341)(56, 284)(57, 343)(58, 344)(59, 332)(60, 286)(61, 345)(62, 300)(63, 288)(64, 290)(65, 352)(66, 291)(67, 339)(68, 292)(69, 337)(70, 354)(71, 296)(72, 355)(73, 298)(74, 299)(75, 357)(76, 315)(77, 303)(78, 305)(79, 364)(80, 306)(81, 325)(82, 307)(83, 323)(84, 366)(85, 311)(86, 367)(87, 313)(88, 314)(89, 317)(90, 358)(91, 359)(92, 360)(93, 372)(94, 362)(95, 370)(96, 321)(97, 365)(98, 326)(99, 328)(100, 368)(101, 331)(102, 346)(103, 347)(104, 348)(105, 378)(106, 350)(107, 376)(108, 335)(109, 353)(110, 340)(111, 342)(112, 356)(113, 380)(114, 351)(115, 382)(116, 349)(117, 381)(118, 375)(119, 374)(120, 363)(121, 384)(122, 361)(123, 383)(124, 369)(125, 373)(126, 371)(127, 379)(128, 377)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2032
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2030 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y3)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, Y1^2 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2, Y1^2 * Y2^-2 * Y1^2 * Y2^2, Y2^8, (Y2^3 * Y1^-1)^2, Y1^8, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 129, 2, 130, 6, 134, 16, 144, 40, 168, 34, 162, 13, 141, 4, 132)(3, 131, 9, 137, 23, 151, 57, 185, 107, 235, 68, 196, 29, 157, 11, 139)(5, 133, 14, 142, 35, 163, 77, 205, 101, 229, 51, 179, 20, 148, 7, 135)(8, 136, 21, 149, 52, 180, 102, 230, 125, 253, 90, 218, 44, 172, 17, 145)(10, 138, 25, 153, 60, 188, 100, 228, 118, 246, 89, 217, 43, 171, 27, 155)(12, 140, 30, 158, 65, 193, 104, 232, 123, 251, 88, 216, 73, 201, 32, 160)(15, 143, 38, 166, 69, 197, 103, 231, 121, 249, 92, 220, 46, 174, 36, 164)(18, 146, 45, 173, 91, 219, 59, 187, 110, 238, 61, 189, 85, 213, 41, 169)(19, 147, 47, 175, 31, 159, 70, 198, 115, 243, 67, 195, 84, 212, 49, 177)(22, 150, 55, 183, 24, 152, 58, 186, 108, 236, 78, 206, 87, 215, 53, 181)(26, 154, 62, 190, 112, 240, 76, 204, 83, 211, 120, 248, 106, 234, 56, 184)(28, 156, 64, 192, 37, 165, 80, 208, 93, 221, 126, 254, 114, 242, 66, 194)(33, 161, 74, 202, 109, 237, 79, 207, 94, 222, 48, 176, 96, 224, 75, 203)(39, 167, 71, 199, 95, 223, 119, 247, 82, 210, 42, 170, 86, 214, 81, 209)(50, 178, 98, 226, 54, 182, 105, 233, 122, 250, 113, 241, 72, 200, 99, 227)(63, 191, 97, 225, 124, 252, 116, 244, 127, 255, 117, 245, 128, 256, 111, 239)(257, 385, 259, 387, 266, 394, 282, 410, 319, 447, 295, 423, 271, 399, 261, 389)(258, 386, 263, 391, 275, 403, 304, 432, 353, 481, 312, 440, 278, 406, 264, 392)(260, 388, 268, 396, 287, 415, 327, 455, 367, 495, 315, 443, 280, 408, 265, 393)(262, 390, 273, 401, 299, 427, 344, 472, 380, 508, 350, 478, 302, 430, 274, 402)(267, 395, 284, 412, 321, 449, 294, 422, 337, 465, 361, 489, 317, 445, 281, 409)(269, 397, 289, 417, 316, 444, 366, 494, 384, 512, 358, 486, 325, 453, 286, 414)(270, 398, 292, 420, 335, 463, 369, 497, 318, 446, 283, 411, 300, 428, 293, 421)(272, 400, 297, 425, 340, 468, 324, 452, 372, 500, 379, 507, 343, 471, 298, 426)(276, 404, 306, 434, 279, 407, 311, 439, 362, 490, 382, 510, 351, 479, 303, 431)(277, 405, 309, 437, 360, 488, 322, 450, 352, 480, 305, 433, 341, 469, 310, 438)(285, 413, 323, 451, 368, 496, 378, 506, 342, 470, 334, 462, 291, 419, 320, 448)(288, 416, 328, 456, 365, 493, 314, 442, 347, 475, 336, 464, 346, 474, 326, 454)(290, 418, 332, 460, 371, 499, 381, 509, 373, 501, 333, 461, 364, 492, 330, 458)(296, 424, 338, 466, 374, 502, 357, 485, 383, 511, 363, 491, 377, 505, 339, 467)(301, 429, 348, 476, 313, 441, 355, 483, 329, 457, 345, 473, 375, 503, 349, 477)(307, 435, 356, 484, 331, 459, 370, 498, 376, 504, 359, 487, 308, 436, 354, 482)
	L = (1, 259)(2, 263)(3, 266)(4, 268)(5, 257)(6, 273)(7, 275)(8, 258)(9, 260)(10, 282)(11, 284)(12, 287)(13, 289)(14, 292)(15, 261)(16, 297)(17, 299)(18, 262)(19, 304)(20, 306)(21, 309)(22, 264)(23, 311)(24, 265)(25, 267)(26, 319)(27, 300)(28, 321)(29, 323)(30, 269)(31, 327)(32, 328)(33, 316)(34, 332)(35, 320)(36, 335)(37, 270)(38, 337)(39, 271)(40, 338)(41, 340)(42, 272)(43, 344)(44, 293)(45, 348)(46, 274)(47, 276)(48, 353)(49, 341)(50, 279)(51, 356)(52, 354)(53, 360)(54, 277)(55, 362)(56, 278)(57, 355)(58, 347)(59, 280)(60, 366)(61, 281)(62, 283)(63, 295)(64, 285)(65, 294)(66, 352)(67, 368)(68, 372)(69, 286)(70, 288)(71, 367)(72, 365)(73, 345)(74, 290)(75, 370)(76, 371)(77, 364)(78, 291)(79, 369)(80, 346)(81, 361)(82, 374)(83, 296)(84, 324)(85, 310)(86, 334)(87, 298)(88, 380)(89, 375)(90, 326)(91, 336)(92, 313)(93, 301)(94, 302)(95, 303)(96, 305)(97, 312)(98, 307)(99, 329)(100, 331)(101, 383)(102, 325)(103, 308)(104, 322)(105, 317)(106, 382)(107, 377)(108, 330)(109, 314)(110, 384)(111, 315)(112, 378)(113, 318)(114, 376)(115, 381)(116, 379)(117, 333)(118, 357)(119, 349)(120, 359)(121, 339)(122, 342)(123, 343)(124, 350)(125, 373)(126, 351)(127, 363)(128, 358)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2031
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.2031 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3^2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)(257, 385, 258, 386)(259, 387, 263, 391)(260, 388, 265, 393)(261, 389, 267, 395)(262, 390, 269, 397)(264, 392, 273, 401)(266, 394, 277, 405)(268, 396, 281, 409)(270, 398, 285, 413)(271, 399, 287, 415)(272, 400, 289, 417)(274, 402, 293, 421)(275, 403, 295, 423)(276, 404, 297, 425)(278, 406, 301, 429)(279, 407, 302, 430)(280, 408, 304, 432)(282, 410, 308, 436)(283, 411, 310, 438)(284, 412, 312, 440)(286, 414, 316, 444)(288, 416, 314, 442)(290, 418, 306, 434)(291, 419, 305, 433)(292, 420, 313, 441)(294, 422, 327, 455)(296, 424, 315, 443)(298, 426, 307, 435)(299, 427, 303, 431)(300, 428, 311, 439)(309, 437, 346, 474)(317, 445, 355, 483)(318, 446, 356, 484)(319, 447, 338, 466)(320, 448, 358, 486)(321, 449, 359, 487)(322, 450, 348, 476)(323, 451, 342, 470)(324, 452, 351, 479)(325, 453, 344, 472)(326, 454, 353, 481)(328, 456, 360, 488)(329, 457, 341, 469)(330, 458, 361, 489)(331, 459, 350, 478)(332, 460, 343, 471)(333, 461, 352, 480)(334, 462, 345, 473)(335, 463, 354, 482)(336, 464, 365, 493)(337, 465, 366, 494)(339, 467, 368, 496)(340, 468, 369, 497)(347, 475, 370, 498)(349, 477, 371, 499)(357, 485, 372, 500)(362, 490, 367, 495)(363, 491, 374, 502)(364, 492, 373, 501)(375, 503, 380, 508)(376, 504, 384, 512)(377, 505, 383, 511)(378, 506, 382, 510)(379, 507, 381, 509)
	L = (1, 259)(2, 261)(3, 264)(4, 257)(5, 268)(6, 258)(7, 271)(8, 274)(9, 275)(10, 260)(11, 279)(12, 282)(13, 283)(14, 262)(15, 288)(16, 263)(17, 291)(18, 294)(19, 296)(20, 265)(21, 299)(22, 266)(23, 303)(24, 267)(25, 306)(26, 309)(27, 311)(28, 269)(29, 314)(30, 270)(31, 317)(32, 319)(33, 320)(34, 272)(35, 323)(36, 273)(37, 325)(38, 278)(39, 328)(40, 329)(41, 330)(42, 276)(43, 332)(44, 277)(45, 334)(46, 336)(47, 338)(48, 339)(49, 280)(50, 342)(51, 281)(52, 344)(53, 286)(54, 347)(55, 348)(56, 349)(57, 284)(58, 351)(59, 285)(60, 353)(61, 295)(62, 287)(63, 357)(64, 297)(65, 289)(66, 290)(67, 360)(68, 292)(69, 337)(70, 293)(71, 362)(72, 345)(73, 364)(74, 354)(75, 298)(76, 356)(77, 300)(78, 340)(79, 301)(80, 310)(81, 302)(82, 367)(83, 312)(84, 304)(85, 305)(86, 370)(87, 307)(88, 318)(89, 308)(90, 372)(91, 326)(92, 374)(93, 335)(94, 313)(95, 366)(96, 315)(97, 321)(98, 316)(99, 375)(100, 377)(101, 322)(102, 378)(103, 333)(104, 379)(105, 324)(106, 376)(107, 327)(108, 331)(109, 380)(110, 382)(111, 341)(112, 383)(113, 352)(114, 384)(115, 343)(116, 381)(117, 346)(118, 350)(119, 358)(120, 355)(121, 359)(122, 363)(123, 361)(124, 368)(125, 365)(126, 369)(127, 373)(128, 371)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2030
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.2032 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^2, Y3 * Y1^3 * Y3 * Y1^-3 * Y3 * Y1^-1 * Y3 * Y1, Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-3 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 61, 189, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 92, 220, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 72, 200, 108, 236, 75, 203, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 86, 214, 115, 243, 91, 219, 52, 180, 26, 154)(16, 144, 33, 161, 64, 192, 93, 221, 110, 238, 88, 216, 50, 178, 34, 162)(17, 145, 35, 163, 67, 195, 98, 226, 111, 239, 89, 217, 51, 179, 36, 164)(21, 149, 43, 171, 76, 204, 95, 223, 118, 246, 97, 225, 77, 205, 44, 172)(24, 152, 47, 175, 82, 210, 65, 193, 102, 230, 68, 196, 85, 213, 48, 176)(28, 156, 55, 183, 40, 168, 73, 201, 100, 228, 62, 190, 83, 211, 56, 184)(29, 157, 57, 185, 41, 169, 74, 202, 107, 235, 71, 199, 84, 212, 58, 186)(32, 160, 59, 187, 87, 215, 114, 242, 124, 252, 120, 248, 101, 229, 63, 191)(37, 165, 54, 182, 90, 218, 113, 241, 125, 253, 123, 251, 106, 234, 70, 198)(45, 173, 78, 206, 104, 232, 66, 194, 103, 231, 69, 197, 105, 233, 79, 207)(46, 174, 80, 208, 109, 237, 94, 222, 117, 245, 96, 224, 112, 240, 81, 209)(99, 227, 116, 244, 126, 254, 121, 249, 127, 255, 122, 250, 128, 256, 119, 247)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 318)(32, 271)(33, 321)(34, 322)(35, 324)(36, 325)(37, 274)(38, 327)(39, 326)(40, 275)(41, 276)(42, 319)(43, 320)(44, 323)(45, 278)(46, 279)(47, 339)(48, 340)(49, 343)(50, 281)(51, 282)(52, 346)(53, 349)(54, 283)(55, 350)(56, 351)(57, 352)(58, 353)(59, 286)(60, 354)(61, 355)(62, 287)(63, 298)(64, 299)(65, 289)(66, 290)(67, 300)(68, 291)(69, 292)(70, 295)(71, 294)(72, 344)(73, 342)(74, 347)(75, 345)(76, 357)(77, 362)(78, 356)(79, 363)(80, 366)(81, 367)(82, 369)(83, 303)(84, 304)(85, 370)(86, 329)(87, 305)(88, 328)(89, 331)(90, 308)(91, 330)(92, 372)(93, 309)(94, 311)(95, 312)(96, 313)(97, 314)(98, 316)(99, 317)(100, 334)(101, 332)(102, 377)(103, 378)(104, 379)(105, 376)(106, 333)(107, 335)(108, 375)(109, 380)(110, 336)(111, 337)(112, 381)(113, 338)(114, 341)(115, 382)(116, 348)(117, 383)(118, 384)(119, 364)(120, 361)(121, 358)(122, 359)(123, 360)(124, 365)(125, 368)(126, 371)(127, 373)(128, 374)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2029
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2033 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 137>$ (small group id <128, 137>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-3, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 46, 174, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 45, 173, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 48, 176, 24, 152, 47, 175, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 44, 172, 21, 149, 43, 171, 52, 180, 26, 154)(16, 144, 33, 161, 58, 186, 29, 157, 57, 185, 85, 213, 65, 193, 34, 162)(17, 145, 35, 163, 66, 194, 89, 217, 61, 189, 40, 168, 68, 196, 36, 164)(28, 156, 55, 183, 79, 207, 51, 179, 78, 206, 103, 231, 84, 212, 56, 184)(32, 160, 62, 190, 80, 208, 70, 198, 37, 165, 69, 197, 76, 204, 63, 191)(41, 169, 50, 178, 77, 205, 101, 229, 75, 203, 74, 202, 100, 228, 72, 200)(54, 182, 81, 209, 71, 199, 88, 216, 59, 187, 87, 215, 73, 201, 82, 210)(64, 192, 92, 220, 104, 232, 91, 219, 110, 238, 123, 251, 109, 237, 93, 221)(67, 195, 90, 218, 102, 230, 120, 248, 113, 241, 98, 226, 117, 245, 96, 224)(83, 211, 107, 235, 119, 247, 106, 234, 121, 249, 118, 246, 99, 227, 108, 236)(86, 214, 105, 233, 95, 223, 115, 243, 94, 222, 112, 240, 97, 225, 111, 239)(114, 242, 125, 253, 127, 255, 124, 252, 128, 256, 122, 250, 116, 244, 126, 254)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 317)(32, 271)(33, 320)(34, 309)(35, 303)(36, 323)(37, 274)(38, 313)(39, 327)(40, 275)(41, 276)(42, 329)(43, 330)(44, 312)(45, 278)(46, 279)(47, 291)(48, 331)(49, 332)(50, 281)(51, 282)(52, 336)(53, 290)(54, 283)(55, 339)(56, 300)(57, 294)(58, 342)(59, 286)(60, 334)(61, 287)(62, 346)(63, 347)(64, 289)(65, 350)(66, 351)(67, 292)(68, 353)(69, 354)(70, 349)(71, 295)(72, 355)(73, 298)(74, 299)(75, 304)(76, 305)(77, 358)(78, 316)(79, 360)(80, 308)(81, 361)(82, 362)(83, 311)(84, 365)(85, 366)(86, 314)(87, 368)(88, 364)(89, 369)(90, 318)(91, 319)(92, 370)(93, 326)(94, 321)(95, 322)(96, 372)(97, 324)(98, 325)(99, 328)(100, 373)(101, 375)(102, 333)(103, 377)(104, 335)(105, 337)(106, 338)(107, 378)(108, 344)(109, 340)(110, 341)(111, 380)(112, 343)(113, 345)(114, 348)(115, 382)(116, 352)(117, 356)(118, 381)(119, 357)(120, 383)(121, 359)(122, 363)(123, 384)(124, 367)(125, 374)(126, 371)(127, 376)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2028
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2034 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 50>$ (small group id <128, 50>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^8, (T1^3 * T2 * T1)^2, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^2, (T1^-1 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 91, 70, 41, 65, 34)(17, 35, 56, 28, 55, 83, 67, 36)(29, 57, 78, 50, 77, 102, 86, 58)(32, 61, 76, 69, 37, 68, 80, 62)(40, 51, 79, 101, 75, 74, 100, 72)(54, 81, 73, 88, 59, 87, 71, 82)(64, 93, 104, 89, 113, 123, 115, 94)(66, 90, 103, 120, 107, 98, 111, 96)(84, 108, 92, 105, 97, 116, 95, 109)(85, 106, 118, 125, 119, 112, 99, 110)(114, 121, 126, 128, 127, 124, 117, 122)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 64)(35, 66)(36, 60)(38, 70)(39, 71)(42, 73)(43, 58)(44, 74)(47, 75)(49, 76)(52, 80)(53, 77)(56, 84)(57, 85)(61, 89)(62, 90)(63, 92)(65, 95)(67, 97)(68, 94)(69, 98)(72, 99)(78, 103)(79, 104)(81, 105)(82, 106)(83, 107)(86, 111)(87, 109)(88, 112)(91, 113)(93, 114)(96, 117)(100, 115)(101, 118)(102, 119)(108, 121)(110, 122)(116, 124)(120, 126)(123, 127)(125, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2035 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 50>$ (small group id <128, 50>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^-3 * T1 * T2^-1)^2, T2^-2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2^-1 * T1 * T2^-1)^4, (T2 * T1 * T2^-1 * T1)^4 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 62, 45, 56, 34, 16)(9, 19, 40, 46, 37, 70, 42, 20)(11, 23, 47, 76, 60, 41, 49, 24)(13, 27, 55, 31, 52, 84, 57, 28)(17, 35, 67, 44, 21, 43, 69, 36)(25, 50, 81, 59, 29, 58, 83, 51)(33, 63, 93, 66, 91, 114, 94, 64)(39, 68, 97, 117, 98, 74, 100, 71)(48, 77, 105, 80, 103, 119, 106, 78)(54, 82, 109, 122, 110, 88, 112, 85)(61, 89, 73, 96, 65, 95, 72, 90)(75, 101, 87, 108, 79, 107, 86, 102)(92, 113, 123, 127, 124, 116, 99, 115)(104, 118, 125, 128, 126, 121, 111, 120)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 189)(162, 193)(163, 194)(164, 196)(166, 181)(168, 200)(170, 201)(171, 192)(172, 202)(175, 203)(177, 207)(178, 208)(179, 210)(183, 214)(185, 215)(186, 206)(187, 216)(190, 219)(191, 220)(195, 209)(197, 211)(198, 226)(199, 227)(204, 231)(205, 232)(212, 238)(213, 239)(217, 229)(218, 241)(221, 237)(222, 240)(223, 235)(224, 244)(225, 233)(228, 234)(230, 246)(236, 249)(242, 252)(243, 248)(245, 251)(247, 254)(250, 253)(255, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2036
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2036 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 50>$ (small group id <128, 50>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, T2^8, (T2^-3 * T1 * T2^-1)^2, T2^-2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, (T2^-1 * T1 * T2^-1)^4, (T2 * T1 * T2^-1 * T1)^4 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 62, 190, 45, 173, 56, 184, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 46, 174, 37, 165, 70, 198, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 76, 204, 60, 188, 41, 169, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 31, 159, 52, 180, 84, 212, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 69, 197, 36, 164)(25, 153, 50, 178, 81, 209, 59, 187, 29, 157, 58, 186, 83, 211, 51, 179)(33, 161, 63, 191, 93, 221, 66, 194, 91, 219, 114, 242, 94, 222, 64, 192)(39, 167, 68, 196, 97, 225, 117, 245, 98, 226, 74, 202, 100, 228, 71, 199)(48, 176, 77, 205, 105, 233, 80, 208, 103, 231, 119, 247, 106, 234, 78, 206)(54, 182, 82, 210, 109, 237, 122, 250, 110, 238, 88, 216, 112, 240, 85, 213)(61, 189, 89, 217, 73, 201, 96, 224, 65, 193, 95, 223, 72, 200, 90, 218)(75, 203, 101, 229, 87, 215, 108, 236, 79, 207, 107, 235, 86, 214, 102, 230)(92, 220, 113, 241, 123, 251, 127, 255, 124, 252, 116, 244, 99, 227, 115, 243)(104, 232, 118, 246, 125, 253, 128, 256, 126, 254, 121, 249, 111, 239, 120, 248)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 189)(33, 144)(34, 193)(35, 194)(36, 196)(37, 146)(38, 181)(39, 147)(40, 200)(41, 148)(42, 201)(43, 192)(44, 202)(45, 150)(46, 151)(47, 203)(48, 152)(49, 207)(50, 208)(51, 210)(52, 154)(53, 166)(54, 155)(55, 214)(56, 156)(57, 215)(58, 206)(59, 216)(60, 158)(61, 160)(62, 219)(63, 220)(64, 171)(65, 162)(66, 163)(67, 209)(68, 164)(69, 211)(70, 226)(71, 227)(72, 168)(73, 170)(74, 172)(75, 175)(76, 231)(77, 232)(78, 186)(79, 177)(80, 178)(81, 195)(82, 179)(83, 197)(84, 238)(85, 239)(86, 183)(87, 185)(88, 187)(89, 229)(90, 241)(91, 190)(92, 191)(93, 237)(94, 240)(95, 235)(96, 244)(97, 233)(98, 198)(99, 199)(100, 234)(101, 217)(102, 246)(103, 204)(104, 205)(105, 225)(106, 228)(107, 223)(108, 249)(109, 221)(110, 212)(111, 213)(112, 222)(113, 218)(114, 252)(115, 248)(116, 224)(117, 251)(118, 230)(119, 254)(120, 243)(121, 236)(122, 253)(123, 245)(124, 242)(125, 250)(126, 247)(127, 256)(128, 255)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2035
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2037 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 50>$ (small group id <128, 50>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y1 * Y2 * Y1 * R * Y2 * R, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y1 * Y2^-1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2^-3 * R * Y2^-1 * R * Y2 * Y1, (Y2^-1 * Y1 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^-2 * R * Y2^-1)^2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * R * Y1 * Y2^2 * R * Y2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^8, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 61, 189)(34, 162, 65, 193)(35, 163, 66, 194)(36, 164, 68, 196)(38, 166, 53, 181)(40, 168, 72, 200)(42, 170, 73, 201)(43, 171, 64, 192)(44, 172, 74, 202)(47, 175, 75, 203)(49, 177, 79, 207)(50, 178, 80, 208)(51, 179, 82, 210)(55, 183, 86, 214)(57, 185, 87, 215)(58, 186, 78, 206)(59, 187, 88, 216)(62, 190, 91, 219)(63, 191, 92, 220)(67, 195, 81, 209)(69, 197, 83, 211)(70, 198, 98, 226)(71, 199, 99, 227)(76, 204, 103, 231)(77, 205, 104, 232)(84, 212, 110, 238)(85, 213, 111, 239)(89, 217, 101, 229)(90, 218, 113, 241)(93, 221, 109, 237)(94, 222, 112, 240)(95, 223, 107, 235)(96, 224, 116, 244)(97, 225, 105, 233)(100, 228, 106, 234)(102, 230, 118, 246)(108, 236, 121, 249)(114, 242, 124, 252)(115, 243, 120, 248)(117, 245, 123, 251)(119, 247, 126, 254)(122, 250, 125, 253)(127, 255, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 318, 446, 301, 429, 312, 440, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 302, 430, 293, 421, 326, 454, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 332, 460, 316, 444, 297, 425, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 287, 415, 308, 436, 340, 468, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 325, 453, 292, 420)(281, 409, 306, 434, 337, 465, 315, 443, 285, 413, 314, 442, 339, 467, 307, 435)(289, 417, 319, 447, 349, 477, 322, 450, 347, 475, 370, 498, 350, 478, 320, 448)(295, 423, 324, 452, 353, 481, 373, 501, 354, 482, 330, 458, 356, 484, 327, 455)(304, 432, 333, 461, 361, 489, 336, 464, 359, 487, 375, 503, 362, 490, 334, 462)(310, 438, 338, 466, 365, 493, 378, 506, 366, 494, 344, 472, 368, 496, 341, 469)(317, 445, 345, 473, 329, 457, 352, 480, 321, 449, 351, 479, 328, 456, 346, 474)(331, 459, 357, 485, 343, 471, 364, 492, 335, 463, 363, 491, 342, 470, 358, 486)(348, 476, 369, 497, 379, 507, 383, 511, 380, 508, 372, 500, 355, 483, 371, 499)(360, 488, 374, 502, 381, 509, 384, 512, 382, 510, 377, 505, 367, 495, 376, 504)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 317)(33, 272)(34, 321)(35, 322)(36, 324)(37, 274)(38, 309)(39, 275)(40, 328)(41, 276)(42, 329)(43, 320)(44, 330)(45, 278)(46, 279)(47, 331)(48, 280)(49, 335)(50, 336)(51, 338)(52, 282)(53, 294)(54, 283)(55, 342)(56, 284)(57, 343)(58, 334)(59, 344)(60, 286)(61, 288)(62, 347)(63, 348)(64, 299)(65, 290)(66, 291)(67, 337)(68, 292)(69, 339)(70, 354)(71, 355)(72, 296)(73, 298)(74, 300)(75, 303)(76, 359)(77, 360)(78, 314)(79, 305)(80, 306)(81, 323)(82, 307)(83, 325)(84, 366)(85, 367)(86, 311)(87, 313)(88, 315)(89, 357)(90, 369)(91, 318)(92, 319)(93, 365)(94, 368)(95, 363)(96, 372)(97, 361)(98, 326)(99, 327)(100, 362)(101, 345)(102, 374)(103, 332)(104, 333)(105, 353)(106, 356)(107, 351)(108, 377)(109, 349)(110, 340)(111, 341)(112, 350)(113, 346)(114, 380)(115, 376)(116, 352)(117, 379)(118, 358)(119, 382)(120, 371)(121, 364)(122, 381)(123, 373)(124, 370)(125, 378)(126, 375)(127, 384)(128, 383)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2038
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2038 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 50>$ (small group id <128, 50>)
Aut   = $<256, 5084>$ (small group id <256, 5084>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y1^3 * Y3 * Y1)^2, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2, (Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y3 * Y1 * Y3 * Y1^-1)^4 ]
Map::
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 46, 174, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 45, 173, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 48, 176, 24, 152, 47, 175, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 44, 172, 21, 149, 43, 171, 52, 180, 26, 154)(16, 144, 33, 161, 63, 191, 91, 219, 70, 198, 41, 169, 65, 193, 34, 162)(17, 145, 35, 163, 56, 184, 28, 156, 55, 183, 83, 211, 67, 195, 36, 164)(29, 157, 57, 185, 78, 206, 50, 178, 77, 205, 102, 230, 86, 214, 58, 186)(32, 160, 61, 189, 76, 204, 69, 197, 37, 165, 68, 196, 80, 208, 62, 190)(40, 168, 51, 179, 79, 207, 101, 229, 75, 203, 74, 202, 100, 228, 72, 200)(54, 182, 81, 209, 73, 201, 88, 216, 59, 187, 87, 215, 71, 199, 82, 210)(64, 192, 93, 221, 104, 232, 89, 217, 113, 241, 123, 251, 115, 243, 94, 222)(66, 194, 90, 218, 103, 231, 120, 248, 107, 235, 98, 226, 111, 239, 96, 224)(84, 212, 108, 236, 92, 220, 105, 233, 97, 225, 116, 244, 95, 223, 109, 237)(85, 213, 106, 234, 118, 246, 125, 253, 119, 247, 112, 240, 99, 227, 110, 238)(114, 242, 121, 249, 126, 254, 128, 256, 127, 255, 124, 252, 117, 245, 122, 250)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 311)(32, 271)(33, 304)(34, 320)(35, 322)(36, 316)(37, 274)(38, 326)(39, 327)(40, 275)(41, 276)(42, 329)(43, 314)(44, 330)(45, 278)(46, 279)(47, 331)(48, 289)(49, 332)(50, 281)(51, 282)(52, 336)(53, 333)(54, 283)(55, 287)(56, 340)(57, 341)(58, 299)(59, 286)(60, 292)(61, 345)(62, 346)(63, 348)(64, 290)(65, 351)(66, 291)(67, 353)(68, 350)(69, 354)(70, 294)(71, 295)(72, 355)(73, 298)(74, 300)(75, 303)(76, 305)(77, 309)(78, 359)(79, 360)(80, 308)(81, 361)(82, 362)(83, 363)(84, 312)(85, 313)(86, 367)(87, 365)(88, 368)(89, 317)(90, 318)(91, 369)(92, 319)(93, 370)(94, 324)(95, 321)(96, 373)(97, 323)(98, 325)(99, 328)(100, 371)(101, 374)(102, 375)(103, 334)(104, 335)(105, 337)(106, 338)(107, 339)(108, 377)(109, 343)(110, 378)(111, 342)(112, 344)(113, 347)(114, 349)(115, 356)(116, 380)(117, 352)(118, 357)(119, 358)(120, 382)(121, 364)(122, 366)(123, 383)(124, 372)(125, 384)(126, 376)(127, 379)(128, 381)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2037
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2039 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 8, 8})
Quotient :: regular
Aut^+ = $<128, 142>$ (small group id <128, 142>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, T1^2 * T2 * T1^-4 * T2 * T1^2, T1 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2, T1^-1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 46, 38, 18, 8)(6, 13, 27, 53, 45, 60, 30, 14)(9, 19, 39, 48, 24, 47, 42, 20)(12, 25, 49, 44, 21, 43, 52, 26)(16, 33, 63, 91, 70, 41, 65, 34)(17, 35, 56, 28, 55, 83, 67, 36)(29, 57, 78, 50, 77, 102, 86, 58)(32, 61, 80, 69, 37, 68, 76, 62)(40, 51, 79, 101, 75, 74, 100, 72)(54, 81, 71, 88, 59, 87, 73, 82)(64, 93, 114, 89, 113, 121, 104, 94)(66, 90, 111, 122, 107, 98, 103, 96)(84, 108, 95, 105, 97, 115, 92, 109)(85, 106, 99, 118, 120, 112, 119, 110)(116, 125, 117, 126, 127, 123, 128, 124)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 46)(25, 50)(26, 51)(27, 54)(30, 59)(31, 55)(33, 48)(34, 64)(35, 66)(36, 60)(38, 70)(39, 71)(42, 73)(43, 58)(44, 74)(47, 75)(49, 76)(52, 80)(53, 77)(56, 84)(57, 85)(61, 89)(62, 90)(63, 92)(65, 95)(67, 97)(68, 94)(69, 98)(72, 99)(78, 103)(79, 104)(81, 105)(82, 106)(83, 107)(86, 111)(87, 109)(88, 112)(91, 113)(93, 116)(96, 117)(100, 114)(101, 119)(102, 120)(108, 123)(110, 124)(115, 125)(118, 126)(121, 127)(122, 128)
	local type(s) :: { ( 8^8 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 64 f = 16
	degree seq :: [ 8^16 ]

E17.2040 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 8, 8})
Quotient :: edge
Aut^+ = $<128, 142>$ (small group id <128, 142>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-3 * T1, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2, (T2 * T1 * T2^-1 * T1)^4 ]
Map::
	R = (1, 3, 8, 18, 38, 22, 10, 4)(2, 5, 12, 26, 53, 30, 14, 6)(7, 15, 32, 62, 45, 56, 34, 16)(9, 19, 40, 46, 37, 70, 42, 20)(11, 23, 47, 76, 60, 41, 49, 24)(13, 27, 55, 31, 52, 84, 57, 28)(17, 35, 67, 44, 21, 43, 69, 36)(25, 50, 81, 59, 29, 58, 83, 51)(33, 63, 93, 66, 91, 114, 94, 64)(39, 68, 97, 117, 98, 74, 100, 71)(48, 77, 105, 80, 103, 120, 106, 78)(54, 82, 109, 123, 110, 88, 112, 85)(61, 89, 72, 96, 65, 95, 73, 90)(75, 101, 86, 108, 79, 107, 87, 102)(92, 113, 99, 118, 125, 116, 126, 115)(104, 119, 111, 124, 127, 122, 128, 121)(129, 130)(131, 135)(132, 137)(133, 139)(134, 141)(136, 145)(138, 149)(140, 153)(142, 157)(143, 159)(144, 161)(146, 165)(147, 167)(148, 169)(150, 173)(151, 174)(152, 176)(154, 180)(155, 182)(156, 184)(158, 188)(160, 189)(162, 193)(163, 194)(164, 196)(166, 181)(168, 200)(170, 201)(171, 192)(172, 202)(175, 203)(177, 207)(178, 208)(179, 210)(183, 214)(185, 215)(186, 206)(187, 216)(190, 219)(191, 220)(195, 211)(197, 209)(198, 226)(199, 227)(204, 231)(205, 232)(212, 238)(213, 239)(217, 235)(218, 241)(221, 240)(222, 237)(223, 229)(224, 244)(225, 234)(228, 233)(230, 247)(236, 250)(242, 253)(243, 249)(245, 254)(246, 252)(248, 255)(251, 256)
	L = (1, 129)(2, 130)(3, 131)(4, 132)(5, 133)(6, 134)(7, 135)(8, 136)(9, 137)(10, 138)(11, 139)(12, 140)(13, 141)(14, 142)(15, 143)(16, 144)(17, 145)(18, 146)(19, 147)(20, 148)(21, 149)(22, 150)(23, 151)(24, 152)(25, 153)(26, 154)(27, 155)(28, 156)(29, 157)(30, 158)(31, 159)(32, 160)(33, 161)(34, 162)(35, 163)(36, 164)(37, 165)(38, 166)(39, 167)(40, 168)(41, 169)(42, 170)(43, 171)(44, 172)(45, 173)(46, 174)(47, 175)(48, 176)(49, 177)(50, 178)(51, 179)(52, 180)(53, 181)(54, 182)(55, 183)(56, 184)(57, 185)(58, 186)(59, 187)(60, 188)(61, 189)(62, 190)(63, 191)(64, 192)(65, 193)(66, 194)(67, 195)(68, 196)(69, 197)(70, 198)(71, 199)(72, 200)(73, 201)(74, 202)(75, 203)(76, 204)(77, 205)(78, 206)(79, 207)(80, 208)(81, 209)(82, 210)(83, 211)(84, 212)(85, 213)(86, 214)(87, 215)(88, 216)(89, 217)(90, 218)(91, 219)(92, 220)(93, 221)(94, 222)(95, 223)(96, 224)(97, 225)(98, 226)(99, 227)(100, 228)(101, 229)(102, 230)(103, 231)(104, 232)(105, 233)(106, 234)(107, 235)(108, 236)(109, 237)(110, 238)(111, 239)(112, 240)(113, 241)(114, 242)(115, 243)(116, 244)(117, 245)(118, 246)(119, 247)(120, 248)(121, 249)(122, 250)(123, 251)(124, 252)(125, 253)(126, 254)(127, 255)(128, 256)
	local type(s) :: { ( 16, 16 ), ( 16^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2041
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 128 f = 16
	degree seq :: [ 2^64, 8^16 ]

E17.2041 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 8, 8})
Quotient :: loop
Aut^+ = $<128, 142>$ (small group id <128, 142>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^8, (T2^-2 * T1 * T2^-2)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-3 * T1, T2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^2 * T1 * T2, (T2 * T1 * T2^-1 * T1)^4 ]
Map::
	R = (1, 129, 3, 131, 8, 136, 18, 146, 38, 166, 22, 150, 10, 138, 4, 132)(2, 130, 5, 133, 12, 140, 26, 154, 53, 181, 30, 158, 14, 142, 6, 134)(7, 135, 15, 143, 32, 160, 62, 190, 45, 173, 56, 184, 34, 162, 16, 144)(9, 137, 19, 147, 40, 168, 46, 174, 37, 165, 70, 198, 42, 170, 20, 148)(11, 139, 23, 151, 47, 175, 76, 204, 60, 188, 41, 169, 49, 177, 24, 152)(13, 141, 27, 155, 55, 183, 31, 159, 52, 180, 84, 212, 57, 185, 28, 156)(17, 145, 35, 163, 67, 195, 44, 172, 21, 149, 43, 171, 69, 197, 36, 164)(25, 153, 50, 178, 81, 209, 59, 187, 29, 157, 58, 186, 83, 211, 51, 179)(33, 161, 63, 191, 93, 221, 66, 194, 91, 219, 114, 242, 94, 222, 64, 192)(39, 167, 68, 196, 97, 225, 117, 245, 98, 226, 74, 202, 100, 228, 71, 199)(48, 176, 77, 205, 105, 233, 80, 208, 103, 231, 120, 248, 106, 234, 78, 206)(54, 182, 82, 210, 109, 237, 123, 251, 110, 238, 88, 216, 112, 240, 85, 213)(61, 189, 89, 217, 72, 200, 96, 224, 65, 193, 95, 223, 73, 201, 90, 218)(75, 203, 101, 229, 86, 214, 108, 236, 79, 207, 107, 235, 87, 215, 102, 230)(92, 220, 113, 241, 99, 227, 118, 246, 125, 253, 116, 244, 126, 254, 115, 243)(104, 232, 119, 247, 111, 239, 124, 252, 127, 255, 122, 250, 128, 256, 121, 249)
	L = (1, 130)(2, 129)(3, 135)(4, 137)(5, 139)(6, 141)(7, 131)(8, 145)(9, 132)(10, 149)(11, 133)(12, 153)(13, 134)(14, 157)(15, 159)(16, 161)(17, 136)(18, 165)(19, 167)(20, 169)(21, 138)(22, 173)(23, 174)(24, 176)(25, 140)(26, 180)(27, 182)(28, 184)(29, 142)(30, 188)(31, 143)(32, 189)(33, 144)(34, 193)(35, 194)(36, 196)(37, 146)(38, 181)(39, 147)(40, 200)(41, 148)(42, 201)(43, 192)(44, 202)(45, 150)(46, 151)(47, 203)(48, 152)(49, 207)(50, 208)(51, 210)(52, 154)(53, 166)(54, 155)(55, 214)(56, 156)(57, 215)(58, 206)(59, 216)(60, 158)(61, 160)(62, 219)(63, 220)(64, 171)(65, 162)(66, 163)(67, 211)(68, 164)(69, 209)(70, 226)(71, 227)(72, 168)(73, 170)(74, 172)(75, 175)(76, 231)(77, 232)(78, 186)(79, 177)(80, 178)(81, 197)(82, 179)(83, 195)(84, 238)(85, 239)(86, 183)(87, 185)(88, 187)(89, 235)(90, 241)(91, 190)(92, 191)(93, 240)(94, 237)(95, 229)(96, 244)(97, 234)(98, 198)(99, 199)(100, 233)(101, 223)(102, 247)(103, 204)(104, 205)(105, 228)(106, 225)(107, 217)(108, 250)(109, 222)(110, 212)(111, 213)(112, 221)(113, 218)(114, 253)(115, 249)(116, 224)(117, 254)(118, 252)(119, 230)(120, 255)(121, 243)(122, 236)(123, 256)(124, 246)(125, 242)(126, 245)(127, 248)(128, 251)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2040
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 128 f = 80
	degree seq :: [ 16^16 ]

E17.2042 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 142>$ (small group id <128, 142>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * R)^2, (R * Y2 * Y3^-1)^2, (R * Y2^2 * Y1)^2, Y2^8, (Y2^-2 * R * Y2^-2)^2, (Y2^-2 * Y1 * Y2^-2)^2, Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-3 * Y1, Y2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2, (Y3 * Y2^-1)^8, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 129, 2, 130)(3, 131, 7, 135)(4, 132, 9, 137)(5, 133, 11, 139)(6, 134, 13, 141)(8, 136, 17, 145)(10, 138, 21, 149)(12, 140, 25, 153)(14, 142, 29, 157)(15, 143, 31, 159)(16, 144, 33, 161)(18, 146, 37, 165)(19, 147, 39, 167)(20, 148, 41, 169)(22, 150, 45, 173)(23, 151, 46, 174)(24, 152, 48, 176)(26, 154, 52, 180)(27, 155, 54, 182)(28, 156, 56, 184)(30, 158, 60, 188)(32, 160, 61, 189)(34, 162, 65, 193)(35, 163, 66, 194)(36, 164, 68, 196)(38, 166, 53, 181)(40, 168, 72, 200)(42, 170, 73, 201)(43, 171, 64, 192)(44, 172, 74, 202)(47, 175, 75, 203)(49, 177, 79, 207)(50, 178, 80, 208)(51, 179, 82, 210)(55, 183, 86, 214)(57, 185, 87, 215)(58, 186, 78, 206)(59, 187, 88, 216)(62, 190, 91, 219)(63, 191, 92, 220)(67, 195, 83, 211)(69, 197, 81, 209)(70, 198, 98, 226)(71, 199, 99, 227)(76, 204, 103, 231)(77, 205, 104, 232)(84, 212, 110, 238)(85, 213, 111, 239)(89, 217, 107, 235)(90, 218, 113, 241)(93, 221, 112, 240)(94, 222, 109, 237)(95, 223, 101, 229)(96, 224, 116, 244)(97, 225, 106, 234)(100, 228, 105, 233)(102, 230, 119, 247)(108, 236, 122, 250)(114, 242, 125, 253)(115, 243, 121, 249)(117, 245, 126, 254)(118, 246, 124, 252)(120, 248, 127, 255)(123, 251, 128, 256)(257, 385, 259, 387, 264, 392, 274, 402, 294, 422, 278, 406, 266, 394, 260, 388)(258, 386, 261, 389, 268, 396, 282, 410, 309, 437, 286, 414, 270, 398, 262, 390)(263, 391, 271, 399, 288, 416, 318, 446, 301, 429, 312, 440, 290, 418, 272, 400)(265, 393, 275, 403, 296, 424, 302, 430, 293, 421, 326, 454, 298, 426, 276, 404)(267, 395, 279, 407, 303, 431, 332, 460, 316, 444, 297, 425, 305, 433, 280, 408)(269, 397, 283, 411, 311, 439, 287, 415, 308, 436, 340, 468, 313, 441, 284, 412)(273, 401, 291, 419, 323, 451, 300, 428, 277, 405, 299, 427, 325, 453, 292, 420)(281, 409, 306, 434, 337, 465, 315, 443, 285, 413, 314, 442, 339, 467, 307, 435)(289, 417, 319, 447, 349, 477, 322, 450, 347, 475, 370, 498, 350, 478, 320, 448)(295, 423, 324, 452, 353, 481, 373, 501, 354, 482, 330, 458, 356, 484, 327, 455)(304, 432, 333, 461, 361, 489, 336, 464, 359, 487, 376, 504, 362, 490, 334, 462)(310, 438, 338, 466, 365, 493, 379, 507, 366, 494, 344, 472, 368, 496, 341, 469)(317, 445, 345, 473, 328, 456, 352, 480, 321, 449, 351, 479, 329, 457, 346, 474)(331, 459, 357, 485, 342, 470, 364, 492, 335, 463, 363, 491, 343, 471, 358, 486)(348, 476, 369, 497, 355, 483, 374, 502, 381, 509, 372, 500, 382, 510, 371, 499)(360, 488, 375, 503, 367, 495, 380, 508, 383, 511, 378, 506, 384, 512, 377, 505)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 267)(6, 269)(7, 259)(8, 273)(9, 260)(10, 277)(11, 261)(12, 281)(13, 262)(14, 285)(15, 287)(16, 289)(17, 264)(18, 293)(19, 295)(20, 297)(21, 266)(22, 301)(23, 302)(24, 304)(25, 268)(26, 308)(27, 310)(28, 312)(29, 270)(30, 316)(31, 271)(32, 317)(33, 272)(34, 321)(35, 322)(36, 324)(37, 274)(38, 309)(39, 275)(40, 328)(41, 276)(42, 329)(43, 320)(44, 330)(45, 278)(46, 279)(47, 331)(48, 280)(49, 335)(50, 336)(51, 338)(52, 282)(53, 294)(54, 283)(55, 342)(56, 284)(57, 343)(58, 334)(59, 344)(60, 286)(61, 288)(62, 347)(63, 348)(64, 299)(65, 290)(66, 291)(67, 339)(68, 292)(69, 337)(70, 354)(71, 355)(72, 296)(73, 298)(74, 300)(75, 303)(76, 359)(77, 360)(78, 314)(79, 305)(80, 306)(81, 325)(82, 307)(83, 323)(84, 366)(85, 367)(86, 311)(87, 313)(88, 315)(89, 363)(90, 369)(91, 318)(92, 319)(93, 368)(94, 365)(95, 357)(96, 372)(97, 362)(98, 326)(99, 327)(100, 361)(101, 351)(102, 375)(103, 332)(104, 333)(105, 356)(106, 353)(107, 345)(108, 378)(109, 350)(110, 340)(111, 341)(112, 349)(113, 346)(114, 381)(115, 377)(116, 352)(117, 382)(118, 380)(119, 358)(120, 383)(121, 371)(122, 364)(123, 384)(124, 374)(125, 370)(126, 373)(127, 376)(128, 379)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2043
Graph:: bipartite
	v = 80 e = 256 f = 144
	degree seq :: [ 4^64, 16^16 ]

E17.2043 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 8, 8})
Quotient :: dipole
Aut^+ = $<128, 142>$ (small group id <128, 142>)
Aut   = $<256, 6669>$ (small group id <256, 6669>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^8, (Y1^-2 * Y3 * Y1^-2)^2, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^2, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2, (Y3 * Y1 * Y3 * Y1^-1)^4 ]
Map::
	R = (1, 129, 2, 130, 5, 133, 11, 139, 23, 151, 22, 150, 10, 138, 4, 132)(3, 131, 7, 135, 15, 143, 31, 159, 46, 174, 38, 166, 18, 146, 8, 136)(6, 134, 13, 141, 27, 155, 53, 181, 45, 173, 60, 188, 30, 158, 14, 142)(9, 137, 19, 147, 39, 167, 48, 176, 24, 152, 47, 175, 42, 170, 20, 148)(12, 140, 25, 153, 49, 177, 44, 172, 21, 149, 43, 171, 52, 180, 26, 154)(16, 144, 33, 161, 63, 191, 91, 219, 70, 198, 41, 169, 65, 193, 34, 162)(17, 145, 35, 163, 56, 184, 28, 156, 55, 183, 83, 211, 67, 195, 36, 164)(29, 157, 57, 185, 78, 206, 50, 178, 77, 205, 102, 230, 86, 214, 58, 186)(32, 160, 61, 189, 80, 208, 69, 197, 37, 165, 68, 196, 76, 204, 62, 190)(40, 168, 51, 179, 79, 207, 101, 229, 75, 203, 74, 202, 100, 228, 72, 200)(54, 182, 81, 209, 71, 199, 88, 216, 59, 187, 87, 215, 73, 201, 82, 210)(64, 192, 93, 221, 114, 242, 89, 217, 113, 241, 121, 249, 104, 232, 94, 222)(66, 194, 90, 218, 111, 239, 122, 250, 107, 235, 98, 226, 103, 231, 96, 224)(84, 212, 108, 236, 95, 223, 105, 233, 97, 225, 115, 243, 92, 220, 109, 237)(85, 213, 106, 234, 99, 227, 118, 246, 120, 248, 112, 240, 119, 247, 110, 238)(116, 244, 125, 253, 117, 245, 126, 254, 127, 255, 123, 251, 128, 256, 124, 252)(257, 385)(258, 386)(259, 387)(260, 388)(261, 389)(262, 390)(263, 391)(264, 392)(265, 393)(266, 394)(267, 395)(268, 396)(269, 397)(270, 398)(271, 399)(272, 400)(273, 401)(274, 402)(275, 403)(276, 404)(277, 405)(278, 406)(279, 407)(280, 408)(281, 409)(282, 410)(283, 411)(284, 412)(285, 413)(286, 414)(287, 415)(288, 416)(289, 417)(290, 418)(291, 419)(292, 420)(293, 421)(294, 422)(295, 423)(296, 424)(297, 425)(298, 426)(299, 427)(300, 428)(301, 429)(302, 430)(303, 431)(304, 432)(305, 433)(306, 434)(307, 435)(308, 436)(309, 437)(310, 438)(311, 439)(312, 440)(313, 441)(314, 442)(315, 443)(316, 444)(317, 445)(318, 446)(319, 447)(320, 448)(321, 449)(322, 450)(323, 451)(324, 452)(325, 453)(326, 454)(327, 455)(328, 456)(329, 457)(330, 458)(331, 459)(332, 460)(333, 461)(334, 462)(335, 463)(336, 464)(337, 465)(338, 466)(339, 467)(340, 468)(341, 469)(342, 470)(343, 471)(344, 472)(345, 473)(346, 474)(347, 475)(348, 476)(349, 477)(350, 478)(351, 479)(352, 480)(353, 481)(354, 482)(355, 483)(356, 484)(357, 485)(358, 486)(359, 487)(360, 488)(361, 489)(362, 490)(363, 491)(364, 492)(365, 493)(366, 494)(367, 495)(368, 496)(369, 497)(370, 498)(371, 499)(372, 500)(373, 501)(374, 502)(375, 503)(376, 504)(377, 505)(378, 506)(379, 507)(380, 508)(381, 509)(382, 510)(383, 511)(384, 512)
	L = (1, 259)(2, 262)(3, 257)(4, 265)(5, 268)(6, 258)(7, 272)(8, 273)(9, 260)(10, 277)(11, 280)(12, 261)(13, 284)(14, 285)(15, 288)(16, 263)(17, 264)(18, 293)(19, 296)(20, 297)(21, 266)(22, 301)(23, 302)(24, 267)(25, 306)(26, 307)(27, 310)(28, 269)(29, 270)(30, 315)(31, 311)(32, 271)(33, 304)(34, 320)(35, 322)(36, 316)(37, 274)(38, 326)(39, 327)(40, 275)(41, 276)(42, 329)(43, 314)(44, 330)(45, 278)(46, 279)(47, 331)(48, 289)(49, 332)(50, 281)(51, 282)(52, 336)(53, 333)(54, 283)(55, 287)(56, 340)(57, 341)(58, 299)(59, 286)(60, 292)(61, 345)(62, 346)(63, 348)(64, 290)(65, 351)(66, 291)(67, 353)(68, 350)(69, 354)(70, 294)(71, 295)(72, 355)(73, 298)(74, 300)(75, 303)(76, 305)(77, 309)(78, 359)(79, 360)(80, 308)(81, 361)(82, 362)(83, 363)(84, 312)(85, 313)(86, 367)(87, 365)(88, 368)(89, 317)(90, 318)(91, 369)(92, 319)(93, 372)(94, 324)(95, 321)(96, 373)(97, 323)(98, 325)(99, 328)(100, 370)(101, 375)(102, 376)(103, 334)(104, 335)(105, 337)(106, 338)(107, 339)(108, 379)(109, 343)(110, 380)(111, 342)(112, 344)(113, 347)(114, 356)(115, 381)(116, 349)(117, 352)(118, 382)(119, 357)(120, 358)(121, 383)(122, 384)(123, 364)(124, 366)(125, 371)(126, 374)(127, 377)(128, 378)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2042
Graph:: simple bipartite
	v = 144 e = 256 f = 80
	degree seq :: [ 2^128, 16^16 ]

E17.2044 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 68})
Quotient :: regular
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^-2 * T2 * T1^15 * T2 * T1^-17 ]
Map:: non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 71, 75, 80, 85, 89, 93, 97, 102, 133, 128, 124, 120, 116, 111, 108, 107, 105, 66, 58, 50, 42, 34, 26, 16, 23, 17, 24, 32, 40, 48, 56, 64, 72, 76, 73, 77, 81, 86, 90, 94, 98, 103, 136, 135, 131, 127, 123, 119, 115, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 69, 78, 74, 87, 84, 95, 92, 104, 100, 134, 129, 126, 121, 118, 112, 110, 101, 63, 54, 47, 38, 31, 21, 14, 6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 82, 70, 83, 79, 91, 88, 99, 96, 132, 106, 130, 125, 122, 117, 114, 109, 113, 62, 55, 46, 39, 30, 22, 12, 8)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 101)(63, 72)(67, 105)(68, 82)(69, 107)(70, 108)(71, 109)(73, 110)(74, 111)(75, 112)(76, 113)(77, 114)(78, 115)(79, 116)(80, 117)(81, 118)(83, 119)(84, 120)(85, 121)(86, 122)(87, 123)(88, 124)(89, 125)(90, 126)(91, 127)(92, 128)(93, 129)(94, 130)(95, 131)(96, 133)(97, 106)(98, 134)(99, 135)(100, 102)(103, 132)(104, 136)
	local type(s) :: { ( 4^68 ) }
Outer automorphisms :: reflexible
Dual of E17.2045
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 2 e = 68 f = 34
	degree seq :: [ 68^2 ]

E17.2045 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 68})
Quotient :: regular
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: non-degenerate
	R = (1, 2, 5, 4)(3, 7, 10, 8)(6, 11, 9, 12)(13, 17, 14, 18)(15, 19, 16, 20)(21, 25, 22, 26)(23, 27, 24, 28)(29, 33, 30, 34)(31, 35, 32, 36)(37, 42, 38, 40)(39, 60, 43, 59)(41, 64, 46, 66)(44, 67, 45, 63)(47, 70, 48, 65)(49, 69, 50, 68)(51, 72, 52, 71)(53, 74, 54, 73)(55, 76, 56, 75)(57, 78, 58, 77)(61, 80, 62, 79)(81, 83, 82, 84)(85, 90, 86, 88)(87, 108, 91, 107)(89, 112, 94, 114)(92, 115, 93, 111)(95, 118, 96, 113)(97, 117, 98, 116)(99, 120, 100, 119)(101, 122, 102, 121)(103, 124, 104, 123)(105, 126, 106, 125)(109, 128, 110, 127)(129, 131, 130, 132)(133, 136, 134, 135)
	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, 59)(36, 60)(39, 63)(40, 64)(41, 65)(42, 66)(43, 67)(44, 68)(45, 69)(46, 70)(47, 71)(48, 72)(49, 73)(50, 74)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(61, 85)(62, 86)(83, 107)(84, 108)(87, 111)(88, 112)(89, 113)(90, 114)(91, 115)(92, 116)(93, 117)(94, 118)(95, 119)(96, 120)(97, 121)(98, 122)(99, 123)(100, 124)(101, 125)(102, 126)(103, 127)(104, 128)(105, 129)(106, 130)(109, 133)(110, 134)(131, 136)(132, 135)
	local type(s) :: { ( 68^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2044
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 34 e = 68 f = 2
	degree seq :: [ 4^34 ]

E17.2046 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 68})
Quotient :: edge
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 9, 14)(10, 15, 12, 16)(17, 21, 18, 22)(19, 23, 20, 24)(25, 29, 26, 30)(27, 31, 28, 32)(33, 37, 34, 38)(35, 57, 36, 59)(39, 61, 42, 63)(40, 64, 45, 66)(41, 67, 43, 69)(44, 72, 46, 74)(47, 77, 48, 79)(49, 81, 50, 83)(51, 85, 52, 87)(53, 89, 54, 91)(55, 93, 56, 95)(58, 98, 60, 97)(62, 102, 70, 101)(65, 105, 75, 104)(68, 108, 71, 107)(73, 113, 76, 112)(78, 118, 80, 117)(82, 122, 84, 121)(86, 126, 88, 125)(90, 130, 92, 129)(94, 134, 96, 133)(99, 136, 100, 135)(103, 132, 110, 131)(106, 128, 115, 127)(109, 123, 111, 124)(114, 119, 116, 120)(137, 138)(139, 143)(140, 145)(141, 146)(142, 148)(144, 147)(149, 153)(150, 154)(151, 155)(152, 156)(157, 161)(158, 162)(159, 163)(160, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 178)(174, 175)(176, 195)(177, 197)(179, 199)(180, 200)(181, 193)(182, 202)(183, 203)(184, 205)(185, 208)(186, 210)(187, 213)(188, 215)(189, 217)(190, 219)(191, 221)(192, 223)(194, 225)(196, 227)(198, 231)(201, 233)(204, 238)(206, 229)(207, 237)(209, 241)(211, 234)(212, 240)(214, 244)(216, 243)(218, 249)(220, 248)(222, 254)(224, 253)(226, 258)(228, 257)(230, 262)(232, 261)(235, 266)(236, 265)(239, 269)(242, 271)(245, 268)(246, 270)(247, 267)(250, 264)(251, 272)(252, 263)(255, 259)(256, 260)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(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, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 136, 136 ), ( 136^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2050
Transitivity :: ET+
Graph:: simple bipartite
	v = 102 e = 136 f = 2
	degree seq :: [ 2^68, 4^34 ]

E17.2047 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 68})
Quotient :: edge
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|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^-34 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 75, 78, 83, 86, 91, 94, 99, 103, 133, 129, 125, 121, 117, 113, 109, 107, 102, 62, 54, 46, 38, 30, 22, 14, 6, 13, 21, 29, 37, 45, 53, 61, 73, 70, 74, 79, 82, 87, 90, 95, 98, 104, 135, 130, 126, 122, 118, 114, 110, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 72, 71, 81, 80, 89, 88, 97, 96, 134, 106, 131, 127, 123, 119, 115, 111, 105, 65, 57, 49, 41, 33, 25, 17, 9, 4, 11, 19, 27, 35, 43, 51, 59, 67, 69, 77, 76, 85, 84, 93, 92, 101, 100, 136, 132, 128, 124, 120, 116, 112, 108, 64, 56, 48, 40, 32, 24, 16, 8)(137, 138, 142, 140)(139, 145, 149, 144)(141, 147, 150, 143)(146, 152, 157, 153)(148, 151, 158, 155)(154, 161, 165, 160)(156, 163, 166, 159)(162, 168, 173, 169)(164, 167, 174, 171)(170, 177, 181, 176)(172, 179, 182, 175)(178, 184, 189, 185)(180, 183, 190, 187)(186, 193, 197, 192)(188, 195, 198, 191)(194, 200, 209, 201)(196, 199, 238, 203)(202, 241, 206, 244)(204, 205, 243, 208)(207, 245, 213, 246)(210, 247, 211, 248)(212, 249, 217, 250)(214, 251, 215, 252)(216, 253, 221, 254)(218, 255, 219, 256)(220, 257, 225, 258)(222, 259, 223, 260)(224, 261, 229, 262)(226, 263, 227, 264)(228, 265, 233, 266)(230, 267, 231, 268)(232, 269, 237, 271)(234, 242, 235, 272)(236, 239, 270, 240)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(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, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 4^4 ), ( 4^68 ) }
Outer automorphisms :: reflexible
Dual of E17.2051
Transitivity :: ET+
Graph:: bipartite
	v = 36 e = 136 f = 68
	degree seq :: [ 4^34, 68^2 ]

E17.2048 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 68})
Quotient :: edge
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^15 * T2 * T1^-17 ]
Map::
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 101)(63, 72)(67, 105)(68, 71)(69, 107)(70, 109)(73, 113)(74, 115)(75, 117)(76, 119)(77, 121)(78, 123)(79, 125)(80, 127)(81, 129)(82, 131)(83, 130)(84, 134)(85, 124)(86, 135)(87, 136)(88, 120)(89, 118)(90, 133)(91, 114)(92, 132)(93, 111)(94, 128)(95, 126)(96, 110)(97, 104)(98, 116)(99, 108)(100, 102)(103, 122)(106, 112)(137, 138, 141, 147, 156, 165, 173, 181, 189, 197, 215, 218, 222, 226, 230, 234, 239, 248, 244, 246, 250, 256, 266, 263, 251, 257, 241, 202, 194, 186, 178, 170, 162, 152, 159, 153, 160, 168, 176, 184, 192, 200, 208, 205, 206, 209, 212, 217, 221, 225, 229, 233, 238, 262, 268, 272, 270, 259, 253, 204, 196, 188, 180, 172, 164, 155, 146, 140)(139, 143, 151, 161, 169, 177, 185, 193, 201, 213, 211, 216, 220, 224, 228, 232, 236, 242, 247, 252, 260, 269, 255, 267, 245, 237, 199, 190, 183, 174, 167, 157, 150, 142, 149, 145, 154, 163, 171, 179, 187, 195, 203, 207, 210, 214, 219, 223, 227, 231, 235, 240, 258, 254, 264, 265, 271, 249, 261, 243, 198, 191, 182, 175, 166, 158, 148, 144)
	L = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(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, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)
	local type(s) :: { ( 8, 8 ), ( 8^68 ) }
Outer automorphisms :: reflexible
Dual of E17.2049
Transitivity :: ET+
Graph:: simple bipartite
	v = 70 e = 136 f = 34
	degree seq :: [ 2^68, 68^2 ]

E17.2049 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 68})
Quotient :: loop
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 137, 3, 139, 8, 144, 4, 140)(2, 138, 5, 141, 11, 147, 6, 142)(7, 143, 13, 149, 9, 145, 14, 150)(10, 146, 15, 151, 12, 148, 16, 152)(17, 153, 21, 157, 18, 154, 22, 158)(19, 155, 23, 159, 20, 156, 24, 160)(25, 161, 29, 165, 26, 162, 30, 166)(27, 163, 31, 167, 28, 164, 32, 168)(33, 169, 37, 173, 34, 170, 38, 174)(35, 171, 47, 183, 36, 172, 45, 181)(39, 175, 66, 202, 46, 182, 68, 204)(40, 176, 63, 199, 48, 184, 61, 197)(41, 177, 72, 208, 42, 178, 69, 205)(43, 179, 77, 213, 44, 180, 65, 201)(49, 185, 74, 210, 50, 186, 71, 207)(51, 187, 79, 215, 52, 188, 76, 212)(53, 189, 87, 223, 54, 190, 85, 221)(55, 191, 91, 227, 56, 192, 89, 225)(57, 193, 95, 231, 58, 194, 93, 229)(59, 195, 99, 235, 60, 196, 97, 233)(62, 198, 103, 239, 64, 200, 101, 237)(67, 203, 114, 250, 82, 218, 116, 252)(70, 206, 111, 247, 84, 220, 109, 245)(73, 209, 120, 256, 75, 211, 117, 253)(78, 214, 125, 261, 80, 216, 113, 249)(81, 217, 105, 241, 83, 219, 107, 243)(86, 222, 122, 258, 88, 224, 119, 255)(90, 226, 127, 263, 92, 228, 124, 260)(94, 230, 135, 271, 96, 232, 133, 269)(98, 234, 134, 270, 100, 236, 136, 272)(102, 238, 128, 264, 104, 240, 126, 262)(106, 242, 123, 259, 108, 244, 121, 257)(110, 246, 115, 251, 112, 248, 130, 266)(118, 254, 129, 265, 132, 268, 131, 267)
	L = (1, 138)(2, 137)(3, 143)(4, 145)(5, 146)(6, 148)(7, 139)(8, 147)(9, 140)(10, 141)(11, 144)(12, 142)(13, 153)(14, 154)(15, 155)(16, 156)(17, 149)(18, 150)(19, 151)(20, 152)(21, 161)(22, 162)(23, 163)(24, 164)(25, 157)(26, 158)(27, 159)(28, 160)(29, 169)(30, 170)(31, 171)(32, 172)(33, 165)(34, 166)(35, 167)(36, 168)(37, 197)(38, 199)(39, 201)(40, 205)(41, 207)(42, 210)(43, 212)(44, 215)(45, 202)(46, 213)(47, 204)(48, 208)(49, 221)(50, 223)(51, 225)(52, 227)(53, 229)(54, 231)(55, 233)(56, 235)(57, 237)(58, 239)(59, 241)(60, 243)(61, 173)(62, 245)(63, 174)(64, 247)(65, 175)(66, 181)(67, 249)(68, 183)(69, 176)(70, 253)(71, 177)(72, 184)(73, 255)(74, 178)(75, 258)(76, 179)(77, 182)(78, 260)(79, 180)(80, 263)(81, 250)(82, 261)(83, 252)(84, 256)(85, 185)(86, 269)(87, 186)(88, 271)(89, 187)(90, 272)(91, 188)(92, 270)(93, 189)(94, 262)(95, 190)(96, 264)(97, 191)(98, 257)(99, 192)(100, 259)(101, 193)(102, 266)(103, 194)(104, 251)(105, 195)(106, 268)(107, 196)(108, 254)(109, 198)(110, 267)(111, 200)(112, 265)(113, 203)(114, 217)(115, 240)(116, 219)(117, 206)(118, 244)(119, 209)(120, 220)(121, 234)(122, 211)(123, 236)(124, 214)(125, 218)(126, 230)(127, 216)(128, 232)(129, 248)(130, 238)(131, 246)(132, 242)(133, 222)(134, 228)(135, 224)(136, 226)
	local type(s) :: { ( 2, 68, 2, 68, 2, 68, 2, 68 ) }
Outer automorphisms :: reflexible
Dual of E17.2048
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 34 e = 136 f = 70
	degree seq :: [ 8^34 ]

E17.2050 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 68})
Quotient :: loop
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|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^-34 * T1^-1 ]
Map::
	R = (1, 137, 3, 139, 10, 146, 18, 154, 26, 162, 34, 170, 42, 178, 50, 186, 58, 194, 66, 202, 73, 209, 79, 215, 82, 218, 87, 223, 90, 226, 95, 231, 98, 234, 104, 240, 135, 271, 130, 266, 126, 262, 122, 258, 118, 254, 114, 250, 110, 246, 107, 243, 102, 238, 62, 198, 54, 190, 46, 182, 38, 174, 30, 166, 22, 158, 14, 150, 6, 142, 13, 149, 21, 157, 29, 165, 37, 173, 45, 181, 53, 189, 61, 197, 75, 211, 70, 206, 74, 210, 78, 214, 83, 219, 86, 222, 91, 227, 94, 230, 99, 235, 103, 239, 133, 269, 129, 265, 125, 261, 121, 257, 117, 253, 113, 249, 109, 245, 68, 204, 60, 196, 52, 188, 44, 180, 36, 172, 28, 164, 20, 156, 12, 148, 5, 141)(2, 138, 7, 143, 15, 151, 23, 159, 31, 167, 39, 175, 47, 183, 55, 191, 63, 199, 69, 205, 77, 213, 76, 212, 85, 221, 84, 220, 93, 229, 92, 228, 101, 237, 100, 236, 136, 272, 132, 268, 128, 264, 124, 260, 120, 256, 116, 252, 112, 248, 105, 241, 65, 201, 57, 193, 49, 185, 41, 177, 33, 169, 25, 161, 17, 153, 9, 145, 4, 140, 11, 147, 19, 155, 27, 163, 35, 171, 43, 179, 51, 187, 59, 195, 67, 203, 72, 208, 71, 207, 81, 217, 80, 216, 89, 225, 88, 224, 97, 233, 96, 232, 134, 270, 106, 242, 131, 267, 127, 263, 123, 259, 119, 255, 115, 251, 111, 247, 108, 244, 64, 200, 56, 192, 48, 184, 40, 176, 32, 168, 24, 160, 16, 152, 8, 144)
	L = (1, 138)(2, 142)(3, 145)(4, 137)(5, 147)(6, 140)(7, 141)(8, 139)(9, 149)(10, 152)(11, 150)(12, 151)(13, 144)(14, 143)(15, 158)(16, 157)(17, 146)(18, 161)(19, 148)(20, 163)(21, 153)(22, 155)(23, 156)(24, 154)(25, 165)(26, 168)(27, 166)(28, 167)(29, 160)(30, 159)(31, 174)(32, 173)(33, 162)(34, 177)(35, 164)(36, 179)(37, 169)(38, 171)(39, 172)(40, 170)(41, 181)(42, 184)(43, 182)(44, 183)(45, 176)(46, 175)(47, 190)(48, 189)(49, 178)(50, 193)(51, 180)(52, 195)(53, 185)(54, 187)(55, 188)(56, 186)(57, 197)(58, 200)(59, 198)(60, 199)(61, 192)(62, 191)(63, 238)(64, 211)(65, 194)(66, 241)(67, 196)(68, 208)(69, 204)(70, 244)(71, 245)(72, 243)(73, 247)(74, 248)(75, 201)(76, 249)(77, 246)(78, 251)(79, 252)(80, 253)(81, 250)(82, 255)(83, 256)(84, 257)(85, 254)(86, 259)(87, 260)(88, 261)(89, 258)(90, 263)(91, 264)(92, 265)(93, 262)(94, 267)(95, 268)(96, 269)(97, 266)(98, 242)(99, 272)(100, 239)(101, 271)(102, 203)(103, 270)(104, 236)(105, 206)(106, 235)(107, 205)(108, 202)(109, 213)(110, 207)(111, 210)(112, 209)(113, 217)(114, 212)(115, 215)(116, 214)(117, 221)(118, 216)(119, 219)(120, 218)(121, 225)(122, 220)(123, 223)(124, 222)(125, 229)(126, 224)(127, 227)(128, 226)(129, 233)(130, 228)(131, 231)(132, 230)(133, 237)(134, 240)(135, 232)(136, 234)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2046
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 2 e = 136 f = 102
	degree seq :: [ 136^2 ]

E17.2051 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 68})
Quotient :: loop
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^-2 * T2 * T1^15 * T2 * T1^-17 ]
Map:: polytopal non-degenerate
	R = (1, 137, 3, 139)(2, 138, 6, 142)(4, 140, 9, 145)(5, 141, 12, 148)(7, 143, 16, 152)(8, 144, 17, 153)(10, 146, 15, 151)(11, 147, 21, 157)(13, 149, 23, 159)(14, 150, 24, 160)(18, 154, 26, 162)(19, 155, 27, 163)(20, 156, 30, 166)(22, 158, 32, 168)(25, 161, 34, 170)(28, 164, 33, 169)(29, 165, 38, 174)(31, 167, 40, 176)(35, 171, 42, 178)(36, 172, 43, 179)(37, 173, 46, 182)(39, 175, 48, 184)(41, 177, 50, 186)(44, 180, 49, 185)(45, 181, 54, 190)(47, 183, 56, 192)(51, 187, 58, 194)(52, 188, 59, 195)(53, 189, 62, 198)(55, 191, 64, 200)(57, 193, 66, 202)(60, 196, 65, 201)(61, 197, 72, 208)(63, 199, 99, 235)(67, 203, 69, 205)(68, 204, 103, 239)(70, 206, 101, 237)(71, 207, 107, 243)(73, 209, 110, 246)(74, 210, 112, 248)(75, 211, 97, 233)(76, 212, 115, 251)(77, 213, 117, 253)(78, 214, 119, 255)(79, 215, 121, 257)(80, 216, 123, 259)(81, 217, 125, 261)(82, 218, 127, 263)(83, 219, 129, 265)(84, 220, 131, 267)(85, 221, 132, 268)(86, 222, 133, 269)(87, 223, 135, 271)(88, 224, 126, 262)(89, 225, 124, 260)(90, 226, 136, 272)(91, 227, 134, 270)(92, 228, 118, 254)(93, 229, 116, 252)(94, 230, 130, 266)(95, 231, 128, 264)(96, 232, 113, 249)(98, 234, 111, 247)(100, 236, 122, 258)(102, 238, 120, 256)(104, 240, 108, 244)(105, 241, 114, 250)(106, 242, 109, 245)
	L = (1, 138)(2, 141)(3, 143)(4, 137)(5, 147)(6, 149)(7, 151)(8, 139)(9, 154)(10, 140)(11, 156)(12, 144)(13, 145)(14, 142)(15, 161)(16, 159)(17, 160)(18, 163)(19, 146)(20, 165)(21, 150)(22, 148)(23, 153)(24, 168)(25, 169)(26, 152)(27, 171)(28, 155)(29, 173)(30, 158)(31, 157)(32, 176)(33, 177)(34, 162)(35, 179)(36, 164)(37, 181)(38, 167)(39, 166)(40, 184)(41, 185)(42, 170)(43, 187)(44, 172)(45, 189)(46, 175)(47, 174)(48, 192)(49, 193)(50, 178)(51, 195)(52, 180)(53, 197)(54, 183)(55, 182)(56, 200)(57, 201)(58, 186)(59, 203)(60, 188)(61, 233)(62, 191)(63, 190)(64, 235)(65, 237)(66, 194)(67, 239)(68, 196)(69, 202)(70, 205)(71, 198)(72, 199)(73, 206)(74, 208)(75, 207)(76, 209)(77, 211)(78, 210)(79, 204)(80, 212)(81, 214)(82, 213)(83, 215)(84, 216)(85, 218)(86, 217)(87, 219)(88, 220)(89, 222)(90, 221)(91, 223)(92, 224)(93, 226)(94, 225)(95, 227)(96, 228)(97, 255)(98, 230)(99, 243)(100, 229)(101, 257)(102, 231)(103, 246)(104, 232)(105, 238)(106, 241)(107, 248)(108, 234)(109, 236)(110, 265)(111, 242)(112, 253)(113, 245)(114, 244)(115, 271)(116, 247)(117, 261)(118, 250)(119, 263)(120, 249)(121, 251)(122, 240)(123, 270)(124, 252)(125, 268)(126, 256)(127, 269)(128, 254)(129, 259)(130, 258)(131, 264)(132, 260)(133, 272)(134, 262)(135, 267)(136, 266)
	local type(s) :: { ( 4, 68, 4, 68 ) }
Outer automorphisms :: reflexible
Dual of E17.2047
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 68 e = 136 f = 36
	degree seq :: [ 4^68 ]

E17.2052 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 68})
Quotient :: dipole
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-1)^2, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1, (Y3 * Y2^-1)^68 ]
Map::
	R = (1, 137, 2, 138)(3, 139, 7, 143)(4, 140, 9, 145)(5, 141, 10, 146)(6, 142, 12, 148)(8, 144, 11, 147)(13, 149, 17, 153)(14, 150, 18, 154)(15, 151, 19, 155)(16, 152, 20, 156)(21, 157, 25, 161)(22, 158, 26, 162)(23, 159, 27, 163)(24, 160, 28, 164)(29, 165, 33, 169)(30, 166, 34, 170)(31, 167, 35, 171)(32, 168, 36, 172)(37, 173, 77, 213)(38, 174, 79, 215)(39, 175, 81, 217)(40, 176, 85, 221)(41, 177, 87, 223)(42, 178, 90, 226)(43, 179, 92, 228)(44, 180, 95, 231)(45, 181, 82, 218)(46, 182, 93, 229)(47, 183, 84, 220)(48, 184, 86, 222)(49, 185, 88, 224)(50, 186, 83, 219)(51, 187, 97, 233)(52, 188, 99, 235)(53, 189, 101, 237)(54, 190, 103, 239)(55, 191, 91, 227)(56, 192, 89, 225)(57, 193, 96, 232)(58, 194, 94, 230)(59, 195, 105, 241)(60, 196, 107, 243)(61, 197, 109, 245)(62, 198, 111, 247)(63, 199, 100, 236)(64, 200, 98, 234)(65, 201, 104, 240)(66, 202, 102, 238)(67, 203, 113, 249)(68, 204, 115, 251)(69, 205, 117, 253)(70, 206, 119, 255)(71, 207, 108, 244)(72, 208, 106, 242)(73, 209, 121, 257)(74, 210, 112, 248)(75, 211, 123, 259)(76, 212, 110, 246)(78, 214, 129, 265)(80, 216, 128, 264)(114, 250, 131, 267)(116, 252, 126, 262)(118, 254, 134, 270)(120, 256, 133, 269)(122, 258, 127, 263)(124, 260, 125, 261)(130, 266, 135, 271)(132, 268, 136, 272)(273, 409, 275, 411, 280, 416, 276, 412)(274, 410, 277, 413, 283, 419, 278, 414)(279, 415, 285, 421, 281, 417, 286, 422)(282, 418, 287, 423, 284, 420, 288, 424)(289, 425, 293, 429, 290, 426, 294, 430)(291, 427, 295, 431, 292, 428, 296, 432)(297, 433, 301, 437, 298, 434, 302, 438)(299, 435, 303, 439, 300, 436, 304, 440)(305, 441, 309, 445, 306, 442, 310, 446)(307, 443, 345, 481, 308, 444, 347, 483)(311, 447, 354, 490, 318, 454, 356, 492)(312, 448, 358, 494, 321, 457, 355, 491)(313, 449, 360, 496, 314, 450, 357, 493)(315, 451, 365, 501, 316, 452, 353, 489)(317, 453, 363, 499, 319, 455, 361, 497)(320, 456, 368, 504, 322, 458, 366, 502)(323, 459, 362, 498, 324, 460, 359, 495)(325, 461, 367, 503, 326, 462, 364, 500)(327, 463, 372, 508, 328, 464, 370, 506)(329, 465, 376, 512, 330, 466, 374, 510)(331, 467, 371, 507, 332, 468, 369, 505)(333, 469, 375, 511, 334, 470, 373, 509)(335, 471, 380, 516, 336, 472, 378, 514)(337, 473, 384, 520, 338, 474, 382, 518)(339, 475, 379, 515, 340, 476, 377, 513)(341, 477, 383, 519, 342, 478, 381, 517)(343, 479, 388, 524, 344, 480, 386, 522)(346, 482, 392, 528, 348, 484, 390, 526)(349, 485, 397, 533, 351, 487, 399, 535)(350, 486, 387, 523, 352, 488, 385, 521)(389, 525, 394, 530, 391, 527, 396, 532)(393, 529, 400, 536, 395, 531, 401, 537)(398, 534, 404, 540, 403, 539, 402, 538)(405, 541, 408, 544, 406, 542, 407, 543)
	L = (1, 274)(2, 273)(3, 279)(4, 281)(5, 282)(6, 284)(7, 275)(8, 283)(9, 276)(10, 277)(11, 280)(12, 278)(13, 289)(14, 290)(15, 291)(16, 292)(17, 285)(18, 286)(19, 287)(20, 288)(21, 297)(22, 298)(23, 299)(24, 300)(25, 293)(26, 294)(27, 295)(28, 296)(29, 305)(30, 306)(31, 307)(32, 308)(33, 301)(34, 302)(35, 303)(36, 304)(37, 349)(38, 351)(39, 353)(40, 357)(41, 359)(42, 362)(43, 364)(44, 367)(45, 354)(46, 365)(47, 356)(48, 358)(49, 360)(50, 355)(51, 369)(52, 371)(53, 373)(54, 375)(55, 363)(56, 361)(57, 368)(58, 366)(59, 377)(60, 379)(61, 381)(62, 383)(63, 372)(64, 370)(65, 376)(66, 374)(67, 385)(68, 387)(69, 389)(70, 391)(71, 380)(72, 378)(73, 393)(74, 384)(75, 395)(76, 382)(77, 309)(78, 401)(79, 310)(80, 400)(81, 311)(82, 317)(83, 322)(84, 319)(85, 312)(86, 320)(87, 313)(88, 321)(89, 328)(90, 314)(91, 327)(92, 315)(93, 318)(94, 330)(95, 316)(96, 329)(97, 323)(98, 336)(99, 324)(100, 335)(101, 325)(102, 338)(103, 326)(104, 337)(105, 331)(106, 344)(107, 332)(108, 343)(109, 333)(110, 348)(111, 334)(112, 346)(113, 339)(114, 403)(115, 340)(116, 398)(117, 341)(118, 406)(119, 342)(120, 405)(121, 345)(122, 399)(123, 347)(124, 397)(125, 396)(126, 388)(127, 394)(128, 352)(129, 350)(130, 407)(131, 386)(132, 408)(133, 392)(134, 390)(135, 402)(136, 404)(137, 409)(138, 410)(139, 411)(140, 412)(141, 413)(142, 414)(143, 415)(144, 416)(145, 417)(146, 418)(147, 419)(148, 420)(149, 421)(150, 422)(151, 423)(152, 424)(153, 425)(154, 426)(155, 427)(156, 428)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 462)(191, 463)(192, 464)(193, 465)(194, 466)(195, 467)(196, 468)(197, 469)(198, 470)(199, 471)(200, 472)(201, 473)(202, 474)(203, 475)(204, 476)(205, 477)(206, 478)(207, 479)(208, 480)(209, 481)(210, 482)(211, 483)(212, 484)(213, 485)(214, 486)(215, 487)(216, 488)(217, 489)(218, 490)(219, 491)(220, 492)(221, 493)(222, 494)(223, 495)(224, 496)(225, 497)(226, 498)(227, 499)(228, 500)(229, 501)(230, 502)(231, 503)(232, 504)(233, 505)(234, 506)(235, 507)(236, 508)(237, 509)(238, 510)(239, 511)(240, 512)(241, 513)(242, 514)(243, 515)(244, 516)(245, 517)(246, 518)(247, 519)(248, 520)(249, 521)(250, 522)(251, 523)(252, 524)(253, 525)(254, 526)(255, 527)(256, 528)(257, 529)(258, 530)(259, 531)(260, 532)(261, 533)(262, 534)(263, 535)(264, 536)(265, 537)(266, 538)(267, 539)(268, 540)(269, 541)(270, 542)(271, 543)(272, 544)
	local type(s) :: { ( 2, 136, 2, 136 ), ( 2, 136, 2, 136, 2, 136, 2, 136 ) }
Outer automorphisms :: reflexible
Dual of E17.2055
Graph:: bipartite
	v = 102 e = 272 f = 138
	degree seq :: [ 4^68, 8^34 ]

E17.2053 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 68})
Quotient :: dipole
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^4, Y1^-1 * Y2^-34 * Y1^-1 ]
Map::
	R = (1, 137, 2, 138, 6, 142, 4, 140)(3, 139, 9, 145, 13, 149, 8, 144)(5, 141, 11, 147, 14, 150, 7, 143)(10, 146, 16, 152, 21, 157, 17, 153)(12, 148, 15, 151, 22, 158, 19, 155)(18, 154, 25, 161, 29, 165, 24, 160)(20, 156, 27, 163, 30, 166, 23, 159)(26, 162, 32, 168, 37, 173, 33, 169)(28, 164, 31, 167, 38, 174, 35, 171)(34, 170, 41, 177, 45, 181, 40, 176)(36, 172, 43, 179, 46, 182, 39, 175)(42, 178, 48, 184, 53, 189, 49, 185)(44, 180, 47, 183, 54, 190, 51, 187)(50, 186, 57, 193, 61, 197, 56, 192)(52, 188, 59, 195, 62, 198, 55, 191)(58, 194, 64, 200, 105, 241, 65, 201)(60, 196, 63, 199, 82, 218, 67, 203)(66, 202, 73, 209, 118, 254, 80, 216)(68, 204, 111, 247, 76, 212, 107, 243)(69, 205, 113, 249, 74, 210, 109, 245)(70, 206, 114, 250, 72, 208, 115, 251)(71, 207, 116, 252, 79, 215, 117, 253)(75, 211, 119, 255, 78, 214, 120, 256)(77, 213, 121, 257, 85, 221, 122, 258)(81, 217, 123, 259, 84, 220, 124, 260)(83, 219, 125, 261, 89, 225, 126, 262)(86, 222, 127, 263, 88, 224, 128, 264)(87, 223, 129, 265, 93, 229, 130, 266)(90, 226, 131, 267, 92, 228, 132, 268)(91, 227, 133, 269, 97, 233, 134, 270)(94, 230, 135, 271, 96, 232, 110, 246)(95, 231, 112, 248, 101, 237, 108, 244)(98, 234, 103, 239, 100, 236, 136, 272)(99, 235, 102, 238, 106, 242, 104, 240)(273, 409, 275, 411, 282, 418, 290, 426, 298, 434, 306, 442, 314, 450, 322, 458, 330, 466, 338, 474, 381, 517, 389, 525, 394, 530, 398, 534, 402, 538, 406, 542, 380, 516, 376, 512, 370, 506, 368, 504, 362, 498, 360, 496, 353, 489, 350, 486, 342, 478, 348, 484, 354, 490, 334, 470, 326, 462, 318, 454, 310, 446, 302, 438, 294, 430, 286, 422, 278, 414, 285, 421, 293, 429, 301, 437, 309, 445, 317, 453, 325, 461, 333, 469, 377, 513, 390, 526, 385, 521, 388, 524, 393, 529, 397, 533, 401, 537, 405, 541, 384, 520, 374, 510, 372, 508, 366, 502, 364, 500, 358, 494, 356, 492, 347, 483, 344, 480, 340, 476, 332, 468, 324, 460, 316, 452, 308, 444, 300, 436, 292, 428, 284, 420, 277, 413)(274, 410, 279, 415, 287, 423, 295, 431, 303, 439, 311, 447, 319, 455, 327, 463, 335, 471, 379, 515, 387, 523, 392, 528, 396, 532, 400, 536, 404, 540, 382, 518, 408, 544, 371, 507, 373, 509, 363, 499, 365, 501, 355, 491, 357, 493, 343, 479, 346, 482, 345, 481, 337, 473, 329, 465, 321, 457, 313, 449, 305, 441, 297, 433, 289, 425, 281, 417, 276, 412, 283, 419, 291, 427, 299, 435, 307, 443, 315, 451, 323, 459, 331, 467, 339, 475, 383, 519, 386, 522, 391, 527, 395, 531, 399, 535, 403, 539, 407, 543, 375, 511, 378, 514, 367, 503, 369, 505, 359, 495, 361, 497, 349, 485, 351, 487, 341, 477, 352, 488, 336, 472, 328, 464, 320, 456, 312, 448, 304, 440, 296, 432, 288, 424, 280, 416)
	L = (1, 275)(2, 279)(3, 282)(4, 283)(5, 273)(6, 285)(7, 287)(8, 274)(9, 276)(10, 290)(11, 291)(12, 277)(13, 293)(14, 278)(15, 295)(16, 280)(17, 281)(18, 298)(19, 299)(20, 284)(21, 301)(22, 286)(23, 303)(24, 288)(25, 289)(26, 306)(27, 307)(28, 292)(29, 309)(30, 294)(31, 311)(32, 296)(33, 297)(34, 314)(35, 315)(36, 300)(37, 317)(38, 302)(39, 319)(40, 304)(41, 305)(42, 322)(43, 323)(44, 308)(45, 325)(46, 310)(47, 327)(48, 312)(49, 313)(50, 330)(51, 331)(52, 316)(53, 333)(54, 318)(55, 335)(56, 320)(57, 321)(58, 338)(59, 339)(60, 324)(61, 377)(62, 326)(63, 379)(64, 328)(65, 329)(66, 381)(67, 383)(68, 332)(69, 352)(70, 348)(71, 346)(72, 340)(73, 337)(74, 345)(75, 344)(76, 354)(77, 351)(78, 342)(79, 341)(80, 336)(81, 350)(82, 334)(83, 357)(84, 347)(85, 343)(86, 356)(87, 361)(88, 353)(89, 349)(90, 360)(91, 365)(92, 358)(93, 355)(94, 364)(95, 369)(96, 362)(97, 359)(98, 368)(99, 373)(100, 366)(101, 363)(102, 372)(103, 378)(104, 370)(105, 390)(106, 367)(107, 387)(108, 376)(109, 389)(110, 408)(111, 386)(112, 374)(113, 388)(114, 391)(115, 392)(116, 393)(117, 394)(118, 385)(119, 395)(120, 396)(121, 397)(122, 398)(123, 399)(124, 400)(125, 401)(126, 402)(127, 403)(128, 404)(129, 405)(130, 406)(131, 407)(132, 382)(133, 384)(134, 380)(135, 375)(136, 371)(137, 409)(138, 410)(139, 411)(140, 412)(141, 413)(142, 414)(143, 415)(144, 416)(145, 417)(146, 418)(147, 419)(148, 420)(149, 421)(150, 422)(151, 423)(152, 424)(153, 425)(154, 426)(155, 427)(156, 428)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 462)(191, 463)(192, 464)(193, 465)(194, 466)(195, 467)(196, 468)(197, 469)(198, 470)(199, 471)(200, 472)(201, 473)(202, 474)(203, 475)(204, 476)(205, 477)(206, 478)(207, 479)(208, 480)(209, 481)(210, 482)(211, 483)(212, 484)(213, 485)(214, 486)(215, 487)(216, 488)(217, 489)(218, 490)(219, 491)(220, 492)(221, 493)(222, 494)(223, 495)(224, 496)(225, 497)(226, 498)(227, 499)(228, 500)(229, 501)(230, 502)(231, 503)(232, 504)(233, 505)(234, 506)(235, 507)(236, 508)(237, 509)(238, 510)(239, 511)(240, 512)(241, 513)(242, 514)(243, 515)(244, 516)(245, 517)(246, 518)(247, 519)(248, 520)(249, 521)(250, 522)(251, 523)(252, 524)(253, 525)(254, 526)(255, 527)(256, 528)(257, 529)(258, 530)(259, 531)(260, 532)(261, 533)(262, 534)(263, 535)(264, 536)(265, 537)(266, 538)(267, 539)(268, 540)(269, 541)(270, 542)(271, 543)(272, 544)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2054
Graph:: bipartite
	v = 36 e = 272 f = 204
	degree seq :: [ 8^34, 136^2 ]

E17.2054 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 68})
Quotient :: dipole
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|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, Y3^31 * Y2 * Y3^-3 * Y2, (Y3^-1 * Y1^-1)^68 ]
Map:: polytopal
	R = (1, 137)(2, 138)(3, 139)(4, 140)(5, 141)(6, 142)(7, 143)(8, 144)(9, 145)(10, 146)(11, 147)(12, 148)(13, 149)(14, 150)(15, 151)(16, 152)(17, 153)(18, 154)(19, 155)(20, 156)(21, 157)(22, 158)(23, 159)(24, 160)(25, 161)(26, 162)(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, 179)(44, 180)(45, 181)(46, 182)(47, 183)(48, 184)(49, 185)(50, 186)(51, 187)(52, 188)(53, 189)(54, 190)(55, 191)(56, 192)(57, 193)(58, 194)(59, 195)(60, 196)(61, 197)(62, 198)(63, 199)(64, 200)(65, 201)(66, 202)(67, 203)(68, 204)(69, 205)(70, 206)(71, 207)(72, 208)(73, 209)(74, 210)(75, 211)(76, 212)(77, 213)(78, 214)(79, 215)(80, 216)(81, 217)(82, 218)(83, 219)(84, 220)(85, 221)(86, 222)(87, 223)(88, 224)(89, 225)(90, 226)(91, 227)(92, 228)(93, 229)(94, 230)(95, 231)(96, 232)(97, 233)(98, 234)(99, 235)(100, 236)(101, 237)(102, 238)(103, 239)(104, 240)(105, 241)(106, 242)(107, 243)(108, 244)(109, 245)(110, 246)(111, 247)(112, 248)(113, 249)(114, 250)(115, 251)(116, 252)(117, 253)(118, 254)(119, 255)(120, 256)(121, 257)(122, 258)(123, 259)(124, 260)(125, 261)(126, 262)(127, 263)(128, 264)(129, 265)(130, 266)(131, 267)(132, 268)(133, 269)(134, 270)(135, 271)(136, 272)(273, 409, 274, 410)(275, 411, 279, 415)(276, 412, 281, 417)(277, 413, 283, 419)(278, 414, 285, 421)(280, 416, 286, 422)(282, 418, 284, 420)(287, 423, 292, 428)(288, 424, 295, 431)(289, 425, 297, 433)(290, 426, 293, 429)(291, 427, 299, 435)(294, 430, 301, 437)(296, 432, 303, 439)(298, 434, 304, 440)(300, 436, 302, 438)(305, 441, 311, 447)(306, 442, 313, 449)(307, 443, 309, 445)(308, 444, 315, 451)(310, 446, 317, 453)(312, 448, 319, 455)(314, 450, 320, 456)(316, 452, 318, 454)(321, 457, 327, 463)(322, 458, 329, 465)(323, 459, 325, 461)(324, 460, 331, 467)(326, 462, 333, 469)(328, 464, 335, 471)(330, 466, 336, 472)(332, 468, 334, 470)(337, 473, 341, 477)(338, 474, 371, 507)(339, 475, 373, 509)(340, 476, 343, 479)(342, 478, 376, 512)(344, 480, 379, 515)(345, 481, 381, 517)(346, 482, 383, 519)(347, 483, 385, 521)(348, 484, 387, 523)(349, 485, 389, 525)(350, 486, 391, 527)(351, 487, 393, 529)(352, 488, 395, 531)(353, 489, 397, 533)(354, 490, 399, 535)(355, 491, 401, 537)(356, 492, 403, 539)(357, 493, 405, 541)(358, 494, 407, 543)(359, 495, 398, 534)(360, 496, 402, 538)(361, 497, 394, 530)(362, 498, 406, 542)(363, 499, 396, 532)(364, 500, 408, 544)(365, 501, 400, 536)(366, 502, 404, 540)(367, 503, 384, 520)(368, 504, 386, 522)(369, 505, 380, 516)(370, 506, 390, 526)(372, 508, 382, 518)(374, 510, 392, 528)(375, 511, 388, 524)(377, 513, 378, 514)
	L = (1, 275)(2, 277)(3, 280)(4, 273)(5, 284)(6, 274)(7, 287)(8, 289)(9, 290)(10, 276)(11, 292)(12, 294)(13, 295)(14, 278)(15, 281)(16, 279)(17, 298)(18, 299)(19, 282)(20, 285)(21, 283)(22, 302)(23, 303)(24, 286)(25, 288)(26, 306)(27, 307)(28, 291)(29, 293)(30, 310)(31, 311)(32, 296)(33, 297)(34, 314)(35, 315)(36, 300)(37, 301)(38, 318)(39, 319)(40, 304)(41, 305)(42, 322)(43, 323)(44, 308)(45, 309)(46, 326)(47, 327)(48, 312)(49, 313)(50, 330)(51, 331)(52, 316)(53, 317)(54, 334)(55, 335)(56, 320)(57, 321)(58, 338)(59, 339)(60, 324)(61, 325)(62, 345)(63, 341)(64, 328)(65, 329)(66, 350)(67, 343)(68, 332)(69, 342)(70, 344)(71, 346)(72, 347)(73, 348)(74, 349)(75, 351)(76, 352)(77, 353)(78, 354)(79, 355)(80, 356)(81, 357)(82, 358)(83, 359)(84, 360)(85, 361)(86, 362)(87, 363)(88, 364)(89, 365)(90, 366)(91, 367)(92, 368)(93, 369)(94, 370)(95, 372)(96, 374)(97, 382)(98, 375)(99, 337)(100, 392)(101, 333)(102, 378)(103, 377)(104, 336)(105, 380)(106, 384)(107, 371)(108, 386)(109, 373)(110, 388)(111, 381)(112, 390)(113, 391)(114, 394)(115, 340)(116, 396)(117, 387)(118, 398)(119, 376)(120, 400)(121, 399)(122, 402)(123, 383)(124, 404)(125, 395)(126, 406)(127, 379)(128, 408)(129, 407)(130, 397)(131, 389)(132, 401)(133, 403)(134, 393)(135, 385)(136, 405)(137, 409)(138, 410)(139, 411)(140, 412)(141, 413)(142, 414)(143, 415)(144, 416)(145, 417)(146, 418)(147, 419)(148, 420)(149, 421)(150, 422)(151, 423)(152, 424)(153, 425)(154, 426)(155, 427)(156, 428)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 462)(191, 463)(192, 464)(193, 465)(194, 466)(195, 467)(196, 468)(197, 469)(198, 470)(199, 471)(200, 472)(201, 473)(202, 474)(203, 475)(204, 476)(205, 477)(206, 478)(207, 479)(208, 480)(209, 481)(210, 482)(211, 483)(212, 484)(213, 485)(214, 486)(215, 487)(216, 488)(217, 489)(218, 490)(219, 491)(220, 492)(221, 493)(222, 494)(223, 495)(224, 496)(225, 497)(226, 498)(227, 499)(228, 500)(229, 501)(230, 502)(231, 503)(232, 504)(233, 505)(234, 506)(235, 507)(236, 508)(237, 509)(238, 510)(239, 511)(240, 512)(241, 513)(242, 514)(243, 515)(244, 516)(245, 517)(246, 518)(247, 519)(248, 520)(249, 521)(250, 522)(251, 523)(252, 524)(253, 525)(254, 526)(255, 527)(256, 528)(257, 529)(258, 530)(259, 531)(260, 532)(261, 533)(262, 534)(263, 535)(264, 536)(265, 537)(266, 538)(267, 539)(268, 540)(269, 541)(270, 542)(271, 543)(272, 544)
	local type(s) :: { ( 8, 136 ), ( 8, 136, 8, 136 ) }
Outer automorphisms :: reflexible
Dual of E17.2053
Graph:: simple bipartite
	v = 204 e = 272 f = 36
	degree seq :: [ 2^136, 4^68 ]

E17.2055 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 68})
Quotient :: dipole
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3)^2, (Y3 * Y1^-2)^2, (Y3 * Y1)^4, Y1^-2 * Y3 * Y1^15 * Y3 * Y1^-17 ]
Map::
	R = (1, 137, 2, 138, 5, 141, 11, 147, 20, 156, 29, 165, 37, 173, 45, 181, 53, 189, 61, 197, 69, 205, 70, 206, 72, 208, 77, 213, 83, 219, 89, 225, 93, 229, 97, 233, 101, 237, 106, 242, 112, 248, 114, 250, 118, 254, 120, 256, 126, 262, 122, 258, 109, 245, 66, 202, 58, 194, 50, 186, 42, 178, 34, 170, 26, 162, 16, 152, 23, 159, 17, 153, 24, 160, 32, 168, 40, 176, 48, 184, 56, 192, 64, 200, 87, 223, 80, 216, 84, 220, 81, 217, 85, 221, 90, 226, 94, 230, 98, 234, 102, 238, 107, 243, 136, 272, 131, 267, 135, 271, 133, 269, 128, 264, 124, 260, 115, 251, 68, 204, 60, 196, 52, 188, 44, 180, 36, 172, 28, 164, 19, 155, 10, 146, 4, 140)(3, 139, 7, 143, 15, 151, 25, 161, 33, 169, 41, 177, 49, 185, 57, 193, 65, 201, 75, 211, 71, 207, 74, 210, 79, 215, 86, 222, 91, 227, 95, 231, 99, 235, 103, 239, 108, 244, 123, 259, 116, 252, 121, 257, 129, 265, 113, 249, 134, 270, 105, 241, 63, 199, 54, 190, 47, 183, 38, 174, 31, 167, 21, 157, 14, 150, 6, 142, 13, 149, 9, 145, 18, 154, 27, 163, 35, 171, 43, 179, 51, 187, 59, 195, 67, 203, 73, 209, 78, 214, 76, 212, 82, 218, 88, 224, 92, 228, 96, 232, 100, 236, 104, 240, 110, 246, 119, 255, 127, 263, 125, 261, 117, 253, 132, 268, 111, 247, 130, 266, 62, 198, 55, 191, 46, 182, 39, 175, 30, 166, 22, 158, 12, 148, 8, 144)(273, 409)(274, 410)(275, 411)(276, 412)(277, 413)(278, 414)(279, 415)(280, 416)(281, 417)(282, 418)(283, 419)(284, 420)(285, 421)(286, 422)(287, 423)(288, 424)(289, 425)(290, 426)(291, 427)(292, 428)(293, 429)(294, 430)(295, 431)(296, 432)(297, 433)(298, 434)(299, 435)(300, 436)(301, 437)(302, 438)(303, 439)(304, 440)(305, 441)(306, 442)(307, 443)(308, 444)(309, 445)(310, 446)(311, 447)(312, 448)(313, 449)(314, 450)(315, 451)(316, 452)(317, 453)(318, 454)(319, 455)(320, 456)(321, 457)(322, 458)(323, 459)(324, 460)(325, 461)(326, 462)(327, 463)(328, 464)(329, 465)(330, 466)(331, 467)(332, 468)(333, 469)(334, 470)(335, 471)(336, 472)(337, 473)(338, 474)(339, 475)(340, 476)(341, 477)(342, 478)(343, 479)(344, 480)(345, 481)(346, 482)(347, 483)(348, 484)(349, 485)(350, 486)(351, 487)(352, 488)(353, 489)(354, 490)(355, 491)(356, 492)(357, 493)(358, 494)(359, 495)(360, 496)(361, 497)(362, 498)(363, 499)(364, 500)(365, 501)(366, 502)(367, 503)(368, 504)(369, 505)(370, 506)(371, 507)(372, 508)(373, 509)(374, 510)(375, 511)(376, 512)(377, 513)(378, 514)(379, 515)(380, 516)(381, 517)(382, 518)(383, 519)(384, 520)(385, 521)(386, 522)(387, 523)(388, 524)(389, 525)(390, 526)(391, 527)(392, 528)(393, 529)(394, 530)(395, 531)(396, 532)(397, 533)(398, 534)(399, 535)(400, 536)(401, 537)(402, 538)(403, 539)(404, 540)(405, 541)(406, 542)(407, 543)(408, 544)
	L = (1, 275)(2, 278)(3, 273)(4, 281)(5, 284)(6, 274)(7, 288)(8, 289)(9, 276)(10, 287)(11, 293)(12, 277)(13, 295)(14, 296)(15, 282)(16, 279)(17, 280)(18, 298)(19, 299)(20, 302)(21, 283)(22, 304)(23, 285)(24, 286)(25, 306)(26, 290)(27, 291)(28, 305)(29, 310)(30, 292)(31, 312)(32, 294)(33, 300)(34, 297)(35, 314)(36, 315)(37, 318)(38, 301)(39, 320)(40, 303)(41, 322)(42, 307)(43, 308)(44, 321)(45, 326)(46, 309)(47, 328)(48, 311)(49, 316)(50, 313)(51, 330)(52, 331)(53, 334)(54, 317)(55, 336)(56, 319)(57, 338)(58, 323)(59, 324)(60, 337)(61, 377)(62, 325)(63, 359)(64, 327)(65, 332)(66, 329)(67, 381)(68, 345)(69, 383)(70, 385)(71, 387)(72, 389)(73, 340)(74, 392)(75, 394)(76, 396)(77, 393)(78, 398)(79, 400)(80, 402)(81, 404)(82, 390)(83, 399)(84, 406)(85, 401)(86, 386)(87, 335)(88, 405)(89, 395)(90, 397)(91, 407)(92, 384)(93, 382)(94, 388)(95, 378)(96, 403)(97, 375)(98, 391)(99, 408)(100, 373)(101, 372)(102, 380)(103, 369)(104, 379)(105, 333)(106, 367)(107, 376)(108, 374)(109, 339)(110, 365)(111, 341)(112, 364)(113, 342)(114, 358)(115, 343)(116, 366)(117, 344)(118, 354)(119, 370)(120, 346)(121, 349)(122, 347)(123, 361)(124, 348)(125, 362)(126, 350)(127, 355)(128, 351)(129, 357)(130, 352)(131, 368)(132, 353)(133, 360)(134, 356)(135, 363)(136, 371)(137, 409)(138, 410)(139, 411)(140, 412)(141, 413)(142, 414)(143, 415)(144, 416)(145, 417)(146, 418)(147, 419)(148, 420)(149, 421)(150, 422)(151, 423)(152, 424)(153, 425)(154, 426)(155, 427)(156, 428)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 462)(191, 463)(192, 464)(193, 465)(194, 466)(195, 467)(196, 468)(197, 469)(198, 470)(199, 471)(200, 472)(201, 473)(202, 474)(203, 475)(204, 476)(205, 477)(206, 478)(207, 479)(208, 480)(209, 481)(210, 482)(211, 483)(212, 484)(213, 485)(214, 486)(215, 487)(216, 488)(217, 489)(218, 490)(219, 491)(220, 492)(221, 493)(222, 494)(223, 495)(224, 496)(225, 497)(226, 498)(227, 499)(228, 500)(229, 501)(230, 502)(231, 503)(232, 504)(233, 505)(234, 506)(235, 507)(236, 508)(237, 509)(238, 510)(239, 511)(240, 512)(241, 513)(242, 514)(243, 515)(244, 516)(245, 517)(246, 518)(247, 519)(248, 520)(249, 521)(250, 522)(251, 523)(252, 524)(253, 525)(254, 526)(255, 527)(256, 528)(257, 529)(258, 530)(259, 531)(260, 532)(261, 533)(262, 534)(263, 535)(264, 536)(265, 537)(266, 538)(267, 539)(268, 540)(269, 541)(270, 542)(271, 543)(272, 544)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2052
Graph:: simple bipartite
	v = 138 e = 272 f = 102
	degree seq :: [ 2^136, 136^2 ]

E17.2056 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 68})
Quotient :: dipole
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^15 * Y1 * Y2^-19 * Y1 ]
Map::
	R = (1, 137, 2, 138)(3, 139, 7, 143)(4, 140, 9, 145)(5, 141, 11, 147)(6, 142, 13, 149)(8, 144, 14, 150)(10, 146, 12, 148)(15, 151, 20, 156)(16, 152, 23, 159)(17, 153, 25, 161)(18, 154, 21, 157)(19, 155, 27, 163)(22, 158, 29, 165)(24, 160, 31, 167)(26, 162, 32, 168)(28, 164, 30, 166)(33, 169, 39, 175)(34, 170, 41, 177)(35, 171, 37, 173)(36, 172, 43, 179)(38, 174, 45, 181)(40, 176, 47, 183)(42, 178, 48, 184)(44, 180, 46, 182)(49, 185, 55, 191)(50, 186, 57, 193)(51, 187, 53, 189)(52, 188, 59, 195)(54, 190, 61, 197)(56, 192, 63, 199)(58, 194, 64, 200)(60, 196, 62, 198)(65, 201, 115, 251)(66, 202, 87, 223)(67, 203, 98, 234)(68, 204, 119, 255)(69, 205, 121, 257)(70, 206, 122, 258)(71, 207, 123, 259)(72, 208, 124, 260)(73, 209, 118, 254)(74, 210, 125, 261)(75, 211, 126, 262)(76, 212, 120, 256)(77, 213, 127, 263)(78, 214, 117, 253)(79, 215, 128, 264)(80, 216, 129, 265)(81, 217, 130, 266)(82, 218, 131, 267)(83, 219, 132, 268)(84, 220, 133, 269)(85, 221, 109, 245)(86, 222, 111, 247)(88, 224, 134, 270)(89, 225, 135, 271)(90, 226, 107, 243)(91, 227, 114, 250)(92, 228, 113, 249)(93, 229, 108, 244)(94, 230, 116, 252)(95, 231, 136, 272)(96, 232, 110, 246)(97, 233, 112, 248)(99, 235, 101, 237)(100, 236, 103, 239)(102, 238, 105, 241)(104, 240, 106, 242)(273, 409, 275, 411, 280, 416, 289, 425, 298, 434, 306, 442, 314, 450, 322, 458, 330, 466, 338, 474, 389, 525, 396, 532, 393, 529, 395, 531, 392, 528, 381, 517, 380, 516, 373, 509, 372, 508, 362, 498, 358, 494, 345, 481, 355, 491, 346, 482, 356, 492, 364, 500, 370, 506, 333, 469, 325, 461, 317, 453, 309, 445, 301, 437, 293, 429, 283, 419, 292, 428, 285, 421, 295, 431, 303, 439, 311, 447, 319, 455, 327, 463, 335, 471, 387, 523, 408, 544, 407, 543, 400, 536, 406, 542, 402, 538, 386, 522, 384, 520, 377, 513, 376, 512, 368, 504, 366, 502, 352, 488, 349, 485, 342, 478, 347, 483, 354, 490, 340, 476, 332, 468, 324, 460, 316, 452, 308, 444, 300, 436, 291, 427, 282, 418, 276, 412)(274, 410, 277, 413, 284, 420, 294, 430, 302, 438, 310, 446, 318, 454, 326, 462, 334, 470, 385, 521, 403, 539, 397, 533, 394, 530, 390, 526, 401, 537, 379, 515, 382, 518, 371, 507, 374, 510, 357, 493, 363, 499, 343, 479, 360, 496, 344, 480, 361, 497, 359, 495, 337, 473, 329, 465, 321, 457, 313, 449, 305, 441, 297, 433, 288, 424, 279, 415, 287, 423, 281, 417, 290, 426, 299, 435, 307, 443, 315, 451, 323, 459, 331, 467, 339, 475, 391, 527, 405, 541, 398, 534, 404, 540, 399, 535, 383, 519, 388, 524, 375, 511, 378, 514, 365, 501, 369, 505, 348, 484, 353, 489, 341, 477, 351, 487, 350, 486, 367, 503, 336, 472, 328, 464, 320, 456, 312, 448, 304, 440, 296, 432, 286, 422, 278, 414)
	L = (1, 274)(2, 273)(3, 279)(4, 281)(5, 283)(6, 285)(7, 275)(8, 286)(9, 276)(10, 284)(11, 277)(12, 282)(13, 278)(14, 280)(15, 292)(16, 295)(17, 297)(18, 293)(19, 299)(20, 287)(21, 290)(22, 301)(23, 288)(24, 303)(25, 289)(26, 304)(27, 291)(28, 302)(29, 294)(30, 300)(31, 296)(32, 298)(33, 311)(34, 313)(35, 309)(36, 315)(37, 307)(38, 317)(39, 305)(40, 319)(41, 306)(42, 320)(43, 308)(44, 318)(45, 310)(46, 316)(47, 312)(48, 314)(49, 327)(50, 329)(51, 325)(52, 331)(53, 323)(54, 333)(55, 321)(56, 335)(57, 322)(58, 336)(59, 324)(60, 334)(61, 326)(62, 332)(63, 328)(64, 330)(65, 387)(66, 359)(67, 370)(68, 391)(69, 393)(70, 394)(71, 395)(72, 396)(73, 390)(74, 397)(75, 398)(76, 392)(77, 399)(78, 389)(79, 400)(80, 401)(81, 402)(82, 403)(83, 404)(84, 405)(85, 381)(86, 383)(87, 338)(88, 406)(89, 407)(90, 379)(91, 386)(92, 385)(93, 380)(94, 388)(95, 408)(96, 382)(97, 384)(98, 339)(99, 373)(100, 375)(101, 371)(102, 377)(103, 372)(104, 378)(105, 374)(106, 376)(107, 362)(108, 365)(109, 357)(110, 368)(111, 358)(112, 369)(113, 364)(114, 363)(115, 337)(116, 366)(117, 350)(118, 345)(119, 340)(120, 348)(121, 341)(122, 342)(123, 343)(124, 344)(125, 346)(126, 347)(127, 349)(128, 351)(129, 352)(130, 353)(131, 354)(132, 355)(133, 356)(134, 360)(135, 361)(136, 367)(137, 409)(138, 410)(139, 411)(140, 412)(141, 413)(142, 414)(143, 415)(144, 416)(145, 417)(146, 418)(147, 419)(148, 420)(149, 421)(150, 422)(151, 423)(152, 424)(153, 425)(154, 426)(155, 427)(156, 428)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 462)(191, 463)(192, 464)(193, 465)(194, 466)(195, 467)(196, 468)(197, 469)(198, 470)(199, 471)(200, 472)(201, 473)(202, 474)(203, 475)(204, 476)(205, 477)(206, 478)(207, 479)(208, 480)(209, 481)(210, 482)(211, 483)(212, 484)(213, 485)(214, 486)(215, 487)(216, 488)(217, 489)(218, 490)(219, 491)(220, 492)(221, 493)(222, 494)(223, 495)(224, 496)(225, 497)(226, 498)(227, 499)(228, 500)(229, 501)(230, 502)(231, 503)(232, 504)(233, 505)(234, 506)(235, 507)(236, 508)(237, 509)(238, 510)(239, 511)(240, 512)(241, 513)(242, 514)(243, 515)(244, 516)(245, 517)(246, 518)(247, 519)(248, 520)(249, 521)(250, 522)(251, 523)(252, 524)(253, 525)(254, 526)(255, 527)(256, 528)(257, 529)(258, 530)(259, 531)(260, 532)(261, 533)(262, 534)(263, 535)(264, 536)(265, 537)(266, 538)(267, 539)(268, 540)(269, 541)(270, 542)(271, 543)(272, 544)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E17.2057
Graph:: bipartite
	v = 70 e = 272 f = 170
	degree seq :: [ 4^68, 136^2 ]

E17.2057 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 68})
Quotient :: dipole
Aut^+ = C4 x D34 (small group id <136, 5>)
Aut   = D8 x D34 (small group id <272, 40>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^33 * Y1 * Y3^-1 * Y1^-1, (Y3 * Y2^-1)^68 ]
Map::
	R = (1, 137, 2, 138, 6, 142, 4, 140)(3, 139, 9, 145, 13, 149, 8, 144)(5, 141, 11, 147, 14, 150, 7, 143)(10, 146, 16, 152, 21, 157, 17, 153)(12, 148, 15, 151, 22, 158, 19, 155)(18, 154, 25, 161, 29, 165, 24, 160)(20, 156, 27, 163, 30, 166, 23, 159)(26, 162, 32, 168, 37, 173, 33, 169)(28, 164, 31, 167, 38, 174, 35, 171)(34, 170, 41, 177, 45, 181, 40, 176)(36, 172, 43, 179, 46, 182, 39, 175)(42, 178, 48, 184, 53, 189, 49, 185)(44, 180, 47, 183, 54, 190, 51, 187)(50, 186, 57, 193, 61, 197, 56, 192)(52, 188, 59, 195, 62, 198, 55, 191)(58, 194, 64, 200, 81, 217, 65, 201)(60, 196, 63, 199, 106, 242, 67, 203)(66, 202, 109, 245, 77, 213, 120, 256)(68, 204, 71, 207, 115, 251, 79, 215)(69, 205, 111, 247, 74, 210, 112, 248)(70, 206, 113, 249, 72, 208, 114, 250)(73, 209, 116, 252, 80, 216, 117, 253)(75, 211, 118, 254, 76, 212, 119, 255)(78, 214, 121, 257, 85, 221, 122, 258)(82, 218, 123, 259, 83, 219, 124, 260)(84, 220, 125, 261, 89, 225, 126, 262)(86, 222, 127, 263, 87, 223, 128, 264)(88, 224, 129, 265, 93, 229, 130, 266)(90, 226, 131, 267, 91, 227, 132, 268)(92, 228, 133, 269, 97, 233, 134, 270)(94, 230, 135, 271, 95, 231, 110, 246)(96, 232, 108, 244, 101, 237, 107, 243)(98, 234, 104, 240, 99, 235, 136, 272)(100, 236, 102, 238, 105, 241, 103, 239)(273, 409)(274, 410)(275, 411)(276, 412)(277, 413)(278, 414)(279, 415)(280, 416)(281, 417)(282, 418)(283, 419)(284, 420)(285, 421)(286, 422)(287, 423)(288, 424)(289, 425)(290, 426)(291, 427)(292, 428)(293, 429)(294, 430)(295, 431)(296, 432)(297, 433)(298, 434)(299, 435)(300, 436)(301, 437)(302, 438)(303, 439)(304, 440)(305, 441)(306, 442)(307, 443)(308, 444)(309, 445)(310, 446)(311, 447)(312, 448)(313, 449)(314, 450)(315, 451)(316, 452)(317, 453)(318, 454)(319, 455)(320, 456)(321, 457)(322, 458)(323, 459)(324, 460)(325, 461)(326, 462)(327, 463)(328, 464)(329, 465)(330, 466)(331, 467)(332, 468)(333, 469)(334, 470)(335, 471)(336, 472)(337, 473)(338, 474)(339, 475)(340, 476)(341, 477)(342, 478)(343, 479)(344, 480)(345, 481)(346, 482)(347, 483)(348, 484)(349, 485)(350, 486)(351, 487)(352, 488)(353, 489)(354, 490)(355, 491)(356, 492)(357, 493)(358, 494)(359, 495)(360, 496)(361, 497)(362, 498)(363, 499)(364, 500)(365, 501)(366, 502)(367, 503)(368, 504)(369, 505)(370, 506)(371, 507)(372, 508)(373, 509)(374, 510)(375, 511)(376, 512)(377, 513)(378, 514)(379, 515)(380, 516)(381, 517)(382, 518)(383, 519)(384, 520)(385, 521)(386, 522)(387, 523)(388, 524)(389, 525)(390, 526)(391, 527)(392, 528)(393, 529)(394, 530)(395, 531)(396, 532)(397, 533)(398, 534)(399, 535)(400, 536)(401, 537)(402, 538)(403, 539)(404, 540)(405, 541)(406, 542)(407, 543)(408, 544)
	L = (1, 275)(2, 279)(3, 282)(4, 283)(5, 273)(6, 285)(7, 287)(8, 274)(9, 276)(10, 290)(11, 291)(12, 277)(13, 293)(14, 278)(15, 295)(16, 280)(17, 281)(18, 298)(19, 299)(20, 284)(21, 301)(22, 286)(23, 303)(24, 288)(25, 289)(26, 306)(27, 307)(28, 292)(29, 309)(30, 294)(31, 311)(32, 296)(33, 297)(34, 314)(35, 315)(36, 300)(37, 317)(38, 302)(39, 319)(40, 304)(41, 305)(42, 322)(43, 323)(44, 308)(45, 325)(46, 310)(47, 327)(48, 312)(49, 313)(50, 330)(51, 331)(52, 316)(53, 333)(54, 318)(55, 335)(56, 320)(57, 321)(58, 338)(59, 339)(60, 324)(61, 353)(62, 326)(63, 351)(64, 328)(65, 329)(66, 344)(67, 343)(68, 332)(69, 352)(70, 348)(71, 346)(72, 347)(73, 357)(74, 345)(75, 355)(76, 354)(77, 342)(78, 361)(79, 341)(80, 350)(81, 349)(82, 359)(83, 358)(84, 365)(85, 356)(86, 363)(87, 362)(88, 369)(89, 360)(90, 367)(91, 366)(92, 373)(93, 364)(94, 371)(95, 370)(96, 377)(97, 368)(98, 375)(99, 374)(100, 408)(101, 372)(102, 380)(103, 379)(104, 407)(105, 376)(106, 334)(107, 406)(108, 405)(109, 337)(110, 404)(111, 387)(112, 340)(113, 381)(114, 392)(115, 378)(116, 383)(117, 384)(118, 385)(119, 386)(120, 336)(121, 388)(122, 389)(123, 390)(124, 391)(125, 393)(126, 394)(127, 395)(128, 396)(129, 397)(130, 398)(131, 399)(132, 400)(133, 401)(134, 402)(135, 403)(136, 382)(137, 409)(138, 410)(139, 411)(140, 412)(141, 413)(142, 414)(143, 415)(144, 416)(145, 417)(146, 418)(147, 419)(148, 420)(149, 421)(150, 422)(151, 423)(152, 424)(153, 425)(154, 426)(155, 427)(156, 428)(157, 429)(158, 430)(159, 431)(160, 432)(161, 433)(162, 434)(163, 435)(164, 436)(165, 437)(166, 438)(167, 439)(168, 440)(169, 441)(170, 442)(171, 443)(172, 444)(173, 445)(174, 446)(175, 447)(176, 448)(177, 449)(178, 450)(179, 451)(180, 452)(181, 453)(182, 454)(183, 455)(184, 456)(185, 457)(186, 458)(187, 459)(188, 460)(189, 461)(190, 462)(191, 463)(192, 464)(193, 465)(194, 466)(195, 467)(196, 468)(197, 469)(198, 470)(199, 471)(200, 472)(201, 473)(202, 474)(203, 475)(204, 476)(205, 477)(206, 478)(207, 479)(208, 480)(209, 481)(210, 482)(211, 483)(212, 484)(213, 485)(214, 486)(215, 487)(216, 488)(217, 489)(218, 490)(219, 491)(220, 492)(221, 493)(222, 494)(223, 495)(224, 496)(225, 497)(226, 498)(227, 499)(228, 500)(229, 501)(230, 502)(231, 503)(232, 504)(233, 505)(234, 506)(235, 507)(236, 508)(237, 509)(238, 510)(239, 511)(240, 512)(241, 513)(242, 514)(243, 515)(244, 516)(245, 517)(246, 518)(247, 519)(248, 520)(249, 521)(250, 522)(251, 523)(252, 524)(253, 525)(254, 526)(255, 527)(256, 528)(257, 529)(258, 530)(259, 531)(260, 532)(261, 533)(262, 534)(263, 535)(264, 536)(265, 537)(266, 538)(267, 539)(268, 540)(269, 541)(270, 542)(271, 543)(272, 544)
	local type(s) :: { ( 4, 136 ), ( 4, 136, 4, 136, 4, 136, 4, 136 ) }
Outer automorphisms :: reflexible
Dual of E17.2056
Graph:: simple bipartite
	v = 170 e = 272 f = 70
	degree seq :: [ 2^136, 8^34 ]

E17.2058 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 36})
Quotient :: regular
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T1 * T2)^4, T1^36 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 20, 29, 37, 45, 53, 61, 83, 77, 71, 74, 80, 88, 95, 101, 105, 109, 114, 136, 128, 122, 119, 120, 123, 68, 60, 52, 44, 36, 28, 19, 10, 4)(3, 7, 15, 25, 33, 41, 49, 57, 65, 97, 73, 85, 69, 84, 78, 98, 94, 107, 104, 116, 112, 137, 129, 126, 121, 125, 132, 140, 62, 55, 46, 39, 30, 22, 12, 8)(6, 13, 9, 18, 27, 35, 43, 51, 59, 67, 79, 91, 70, 90, 72, 93, 87, 103, 100, 111, 108, 142, 118, 131, 124, 130, 127, 135, 113, 63, 54, 47, 38, 31, 21, 14)(16, 23, 17, 24, 32, 40, 48, 56, 64, 99, 92, 86, 75, 81, 76, 82, 89, 96, 102, 106, 110, 115, 144, 141, 133, 138, 134, 139, 143, 117, 66, 58, 50, 42, 34, 26)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 113)(63, 99)(67, 117)(68, 79)(69, 119)(70, 120)(71, 121)(72, 122)(73, 123)(74, 124)(75, 125)(76, 126)(77, 127)(78, 128)(80, 129)(81, 130)(82, 131)(83, 132)(84, 133)(85, 134)(86, 135)(87, 136)(88, 118)(89, 137)(90, 138)(91, 139)(92, 140)(93, 141)(94, 114)(95, 112)(96, 142)(97, 143)(98, 144)(100, 109)(101, 108)(102, 116)(103, 115)(104, 105)(106, 111)(107, 110)
	local type(s) :: { ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E17.2059
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 4 e = 72 f = 36
	degree seq :: [ 36^4 ]

E17.2059 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 36})
Quotient :: regular
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^2, (T1 * T2)^36 ]
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, 39, 38, 42)(40, 59, 41, 57)(43, 67, 44, 61)(45, 65, 46, 63)(47, 71, 48, 69)(49, 75, 50, 73)(51, 79, 52, 77)(53, 83, 54, 81)(55, 87, 56, 85)(58, 91, 60, 89)(62, 95, 68, 93)(64, 97, 66, 98)(70, 101, 72, 102)(74, 104, 76, 105)(78, 109, 80, 110)(82, 113, 84, 114)(86, 117, 88, 118)(90, 121, 92, 122)(94, 125, 96, 126)(99, 129, 100, 130)(103, 133, 108, 134)(106, 138, 107, 137)(111, 142, 112, 141)(115, 144, 116, 143)(119, 140, 120, 139)(123, 135, 124, 136)(127, 131, 128, 132)
	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, 57)(36, 59)(39, 61)(40, 63)(41, 65)(42, 67)(43, 69)(44, 71)(45, 73)(46, 75)(47, 77)(48, 79)(49, 81)(50, 83)(51, 85)(52, 87)(53, 89)(54, 91)(55, 93)(56, 95)(58, 98)(60, 97)(62, 102)(64, 105)(66, 104)(68, 101)(70, 110)(72, 109)(74, 114)(76, 113)(78, 118)(80, 117)(82, 122)(84, 121)(86, 126)(88, 125)(90, 130)(92, 129)(94, 134)(96, 133)(99, 137)(100, 138)(103, 141)(106, 143)(107, 144)(108, 142)(111, 139)(112, 140)(115, 136)(116, 135)(119, 132)(120, 131)(123, 127)(124, 128)
	local type(s) :: { ( 36^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2058
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 36 e = 72 f = 4
	degree seq :: [ 4^36 ]

E17.2060 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 36})
Quotient :: edge
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^36 ]
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, 67, 36, 68)(39, 72, 46, 73)(40, 75, 49, 76)(41, 77, 42, 78)(43, 79, 44, 80)(45, 82, 47, 71)(48, 85, 50, 74)(51, 87, 52, 88)(53, 89, 54, 90)(55, 83, 56, 81)(57, 86, 58, 84)(59, 91, 60, 92)(61, 93, 62, 94)(63, 95, 64, 96)(65, 97, 66, 98)(69, 101, 70, 102)(99, 131, 100, 132)(103, 136, 104, 137)(105, 133, 106, 134)(107, 140, 108, 141)(109, 143, 110, 144)(111, 130, 112, 129)(113, 128, 114, 127)(115, 138, 116, 135)(117, 142, 118, 139)(119, 125, 120, 126)(121, 123, 122, 124)(145, 146)(147, 151)(148, 153)(149, 154)(150, 156)(152, 155)(157, 161)(158, 162)(159, 163)(160, 164)(165, 169)(166, 170)(167, 171)(168, 172)(173, 177)(174, 178)(175, 179)(176, 180)(181, 202)(182, 201)(183, 215)(184, 218)(185, 219)(186, 220)(187, 216)(188, 217)(189, 225)(190, 226)(191, 227)(192, 228)(193, 229)(194, 230)(195, 221)(196, 222)(197, 223)(198, 224)(199, 212)(200, 211)(203, 231)(204, 232)(205, 233)(206, 234)(207, 235)(208, 236)(209, 237)(210, 238)(213, 239)(214, 240)(241, 243)(242, 244)(245, 261)(246, 262)(247, 279)(248, 282)(249, 280)(250, 281)(251, 283)(252, 286)(253, 284)(254, 285)(255, 287)(256, 288)(257, 277)(258, 278)(259, 275)(260, 276)(263, 274)(264, 273)(265, 272)(266, 271)(267, 269)(268, 270)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 72, 72 ), ( 72^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2064
Transitivity :: ET+
Graph:: simple bipartite
	v = 108 e = 144 f = 4
	degree seq :: [ 2^72, 4^36 ]

E17.2061 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 36})
Quotient :: edge
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^36 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 18, 26, 34, 42, 50, 58, 66, 105, 114, 118, 122, 126, 130, 134, 139, 144, 104, 100, 94, 92, 86, 84, 78, 76, 68, 60, 52, 44, 36, 28, 20, 12, 5)(2, 7, 15, 23, 31, 39, 47, 55, 63, 103, 112, 116, 120, 124, 128, 132, 137, 143, 106, 135, 95, 97, 87, 89, 79, 81, 70, 72, 64, 56, 48, 40, 32, 24, 16, 8)(4, 11, 19, 27, 35, 43, 51, 59, 67, 107, 111, 115, 119, 123, 127, 131, 136, 142, 140, 99, 102, 91, 93, 83, 85, 75, 77, 69, 65, 57, 49, 41, 33, 25, 17, 9)(6, 13, 21, 29, 37, 45, 53, 61, 101, 109, 110, 113, 117, 121, 125, 129, 133, 138, 141, 108, 98, 96, 90, 88, 82, 80, 73, 71, 74, 62, 54, 46, 38, 30, 22, 14)(145, 146, 150, 148)(147, 153, 157, 152)(149, 155, 158, 151)(154, 160, 165, 161)(156, 159, 166, 163)(162, 169, 173, 168)(164, 171, 174, 167)(170, 176, 181, 177)(172, 175, 182, 179)(178, 185, 189, 184)(180, 187, 190, 183)(186, 192, 197, 193)(188, 191, 198, 195)(194, 201, 205, 200)(196, 203, 206, 199)(202, 208, 245, 209)(204, 207, 218, 211)(210, 213, 253, 216)(212, 251, 215, 247)(214, 254, 221, 249)(217, 255, 220, 256)(219, 257, 225, 258)(222, 259, 224, 260)(223, 261, 229, 262)(226, 263, 228, 264)(227, 265, 233, 266)(230, 267, 232, 268)(231, 269, 237, 270)(234, 271, 236, 272)(235, 273, 241, 274)(238, 275, 240, 276)(239, 277, 246, 278)(242, 280, 244, 281)(243, 282, 279, 283)(248, 286, 252, 287)(250, 285, 284, 288)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 4^4 ), ( 4^36 ) }
Outer automorphisms :: reflexible
Dual of E17.2065
Transitivity :: ET+
Graph:: simple bipartite
	v = 40 e = 144 f = 72
	degree seq :: [ 4^36, 36^4 ]

E17.2062 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 36})
Quotient :: edge
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^36 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 15)(11, 21)(13, 23)(14, 24)(18, 26)(19, 27)(20, 30)(22, 32)(25, 34)(28, 33)(29, 38)(31, 40)(35, 42)(36, 43)(37, 46)(39, 48)(41, 50)(44, 49)(45, 54)(47, 56)(51, 58)(52, 59)(53, 62)(55, 64)(57, 66)(60, 65)(61, 75)(63, 107)(67, 86)(68, 111)(69, 113)(70, 105)(71, 116)(72, 118)(73, 120)(74, 122)(76, 125)(77, 127)(78, 129)(79, 131)(80, 133)(81, 109)(82, 136)(83, 137)(84, 138)(85, 140)(87, 143)(88, 128)(89, 126)(90, 144)(91, 139)(92, 119)(93, 117)(94, 134)(95, 132)(96, 115)(97, 114)(98, 141)(99, 123)(100, 124)(101, 112)(102, 135)(103, 130)(104, 106)(108, 142)(110, 121)(145, 146, 149, 155, 164, 173, 181, 189, 197, 205, 249, 262, 271, 281, 270, 261, 258, 256, 248, 244, 240, 236, 232, 226, 220, 215, 213, 212, 204, 196, 188, 180, 172, 163, 154, 148)(147, 151, 159, 169, 177, 185, 193, 201, 209, 253, 257, 277, 269, 283, 272, 267, 259, 265, 250, 246, 241, 238, 233, 228, 221, 218, 214, 217, 206, 199, 190, 183, 174, 166, 156, 152)(150, 157, 153, 162, 171, 179, 187, 195, 203, 211, 255, 284, 260, 287, 280, 276, 263, 274, 268, 252, 245, 242, 237, 234, 227, 223, 216, 222, 219, 207, 198, 191, 182, 175, 165, 158)(160, 167, 161, 168, 176, 184, 192, 200, 208, 251, 264, 273, 266, 275, 282, 288, 278, 285, 279, 286, 254, 247, 243, 239, 235, 231, 224, 229, 225, 230, 210, 202, 194, 186, 178, 170)
	L = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)
	local type(s) :: { ( 8, 8 ), ( 8^36 ) }
Outer automorphisms :: reflexible
Dual of E17.2063
Transitivity :: ET+
Graph:: simple bipartite
	v = 76 e = 144 f = 36
	degree seq :: [ 2^72, 36^4 ]

E17.2063 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 36})
Quotient :: loop
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^2, (T2 * T1)^36 ]
Map::
	R = (1, 145, 3, 147, 8, 152, 4, 148)(2, 146, 5, 149, 11, 155, 6, 150)(7, 151, 13, 157, 9, 153, 14, 158)(10, 154, 15, 159, 12, 156, 16, 160)(17, 161, 21, 165, 18, 162, 22, 166)(19, 163, 23, 167, 20, 164, 24, 168)(25, 169, 29, 173, 26, 170, 30, 174)(27, 171, 31, 175, 28, 172, 32, 176)(33, 177, 37, 181, 34, 178, 38, 182)(35, 179, 39, 183, 36, 180, 44, 188)(40, 184, 59, 203, 41, 185, 57, 201)(42, 186, 68, 212, 43, 187, 61, 205)(45, 189, 65, 209, 46, 190, 63, 207)(47, 191, 70, 214, 48, 192, 67, 211)(49, 193, 75, 219, 50, 194, 73, 217)(51, 195, 79, 223, 52, 196, 77, 221)(53, 197, 83, 227, 54, 198, 81, 225)(55, 199, 87, 231, 56, 200, 85, 229)(58, 202, 91, 235, 60, 204, 89, 233)(62, 206, 95, 239, 72, 216, 93, 237)(64, 208, 97, 241, 66, 210, 98, 242)(69, 213, 101, 245, 71, 215, 102, 246)(74, 218, 104, 248, 76, 220, 105, 249)(78, 222, 108, 252, 80, 224, 109, 253)(82, 226, 113, 257, 84, 228, 114, 258)(86, 230, 117, 261, 88, 232, 118, 262)(90, 234, 121, 265, 92, 236, 122, 266)(94, 238, 125, 269, 96, 240, 126, 270)(99, 243, 129, 273, 100, 244, 130, 274)(103, 247, 133, 277, 112, 256, 134, 278)(106, 250, 138, 282, 107, 251, 137, 281)(110, 254, 142, 286, 111, 255, 141, 285)(115, 259, 144, 288, 116, 260, 143, 287)(119, 263, 140, 284, 120, 264, 139, 283)(123, 267, 135, 279, 124, 268, 136, 280)(127, 271, 131, 275, 128, 272, 132, 276)
	L = (1, 146)(2, 145)(3, 151)(4, 153)(5, 154)(6, 156)(7, 147)(8, 155)(9, 148)(10, 149)(11, 152)(12, 150)(13, 161)(14, 162)(15, 163)(16, 164)(17, 157)(18, 158)(19, 159)(20, 160)(21, 169)(22, 170)(23, 171)(24, 172)(25, 165)(26, 166)(27, 167)(28, 168)(29, 177)(30, 178)(31, 179)(32, 180)(33, 173)(34, 174)(35, 175)(36, 176)(37, 201)(38, 203)(39, 205)(40, 207)(41, 209)(42, 211)(43, 214)(44, 212)(45, 217)(46, 219)(47, 221)(48, 223)(49, 225)(50, 227)(51, 229)(52, 231)(53, 233)(54, 235)(55, 237)(56, 239)(57, 181)(58, 242)(59, 182)(60, 241)(61, 183)(62, 246)(63, 184)(64, 249)(65, 185)(66, 248)(67, 186)(68, 188)(69, 253)(70, 187)(71, 252)(72, 245)(73, 189)(74, 258)(75, 190)(76, 257)(77, 191)(78, 262)(79, 192)(80, 261)(81, 193)(82, 266)(83, 194)(84, 265)(85, 195)(86, 270)(87, 196)(88, 269)(89, 197)(90, 274)(91, 198)(92, 273)(93, 199)(94, 278)(95, 200)(96, 277)(97, 204)(98, 202)(99, 281)(100, 282)(101, 216)(102, 206)(103, 285)(104, 210)(105, 208)(106, 287)(107, 288)(108, 215)(109, 213)(110, 283)(111, 284)(112, 286)(113, 220)(114, 218)(115, 280)(116, 279)(117, 224)(118, 222)(119, 276)(120, 275)(121, 228)(122, 226)(123, 271)(124, 272)(125, 232)(126, 230)(127, 267)(128, 268)(129, 236)(130, 234)(131, 264)(132, 263)(133, 240)(134, 238)(135, 260)(136, 259)(137, 243)(138, 244)(139, 254)(140, 255)(141, 247)(142, 256)(143, 250)(144, 251)
	local type(s) :: { ( 2, 36, 2, 36, 2, 36, 2, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.2062
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 36 e = 144 f = 76
	degree seq :: [ 8^36 ]

E17.2064 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 36})
Quotient :: loop
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^2, T2^36 ]
Map::
	R = (1, 145, 3, 147, 10, 154, 18, 162, 26, 170, 34, 178, 42, 186, 50, 194, 58, 202, 66, 210, 110, 254, 128, 272, 136, 280, 141, 285, 133, 277, 121, 265, 114, 258, 118, 262, 130, 274, 106, 250, 101, 245, 97, 241, 93, 237, 89, 233, 85, 229, 81, 225, 74, 218, 68, 212, 60, 204, 52, 196, 44, 188, 36, 180, 28, 172, 20, 164, 12, 156, 5, 149)(2, 146, 7, 151, 15, 159, 23, 167, 31, 175, 39, 183, 47, 191, 55, 199, 63, 207, 107, 251, 115, 259, 120, 264, 134, 278, 140, 284, 137, 281, 127, 271, 116, 260, 125, 269, 109, 253, 103, 247, 99, 243, 95, 239, 91, 235, 87, 231, 83, 227, 77, 221, 72, 216, 79, 223, 64, 208, 56, 200, 48, 192, 40, 184, 32, 176, 24, 168, 16, 160, 8, 152)(4, 148, 11, 155, 19, 163, 27, 171, 35, 179, 43, 187, 51, 195, 59, 203, 67, 211, 111, 255, 113, 257, 122, 266, 132, 276, 142, 286, 139, 283, 129, 273, 119, 263, 131, 275, 108, 252, 102, 246, 98, 242, 94, 238, 90, 234, 86, 230, 82, 226, 76, 220, 70, 214, 75, 219, 65, 209, 57, 201, 49, 193, 41, 185, 33, 177, 25, 169, 17, 161, 9, 153)(6, 150, 13, 157, 21, 165, 29, 173, 37, 181, 45, 189, 53, 197, 61, 205, 105, 249, 124, 268, 117, 261, 126, 270, 138, 282, 144, 288, 143, 287, 135, 279, 123, 267, 112, 256, 104, 248, 100, 244, 96, 240, 92, 236, 88, 232, 84, 228, 80, 224, 73, 217, 69, 213, 71, 215, 78, 222, 62, 206, 54, 198, 46, 190, 38, 182, 30, 174, 22, 166, 14, 158)
	L = (1, 146)(2, 150)(3, 153)(4, 145)(5, 155)(6, 148)(7, 149)(8, 147)(9, 157)(10, 160)(11, 158)(12, 159)(13, 152)(14, 151)(15, 166)(16, 165)(17, 154)(18, 169)(19, 156)(20, 171)(21, 161)(22, 163)(23, 164)(24, 162)(25, 173)(26, 176)(27, 174)(28, 175)(29, 168)(30, 167)(31, 182)(32, 181)(33, 170)(34, 185)(35, 172)(36, 187)(37, 177)(38, 179)(39, 180)(40, 178)(41, 189)(42, 192)(43, 190)(44, 191)(45, 184)(46, 183)(47, 198)(48, 197)(49, 186)(50, 201)(51, 188)(52, 203)(53, 193)(54, 195)(55, 196)(56, 194)(57, 205)(58, 208)(59, 206)(60, 207)(61, 200)(62, 199)(63, 222)(64, 249)(65, 202)(66, 219)(67, 204)(68, 255)(69, 257)(70, 254)(71, 251)(72, 261)(73, 264)(74, 259)(75, 268)(76, 270)(77, 272)(78, 211)(79, 210)(80, 276)(81, 266)(82, 280)(83, 282)(84, 284)(85, 278)(86, 288)(87, 285)(88, 283)(89, 286)(90, 277)(91, 287)(92, 271)(93, 281)(94, 279)(95, 265)(96, 263)(97, 273)(98, 258)(99, 267)(100, 269)(101, 260)(102, 256)(103, 262)(104, 252)(105, 209)(106, 275)(107, 212)(108, 274)(109, 248)(110, 216)(111, 215)(112, 247)(113, 218)(114, 243)(115, 213)(116, 240)(117, 214)(118, 246)(119, 245)(120, 225)(121, 238)(122, 217)(123, 242)(124, 223)(125, 250)(126, 221)(127, 241)(128, 220)(129, 236)(130, 253)(131, 244)(132, 229)(133, 235)(134, 224)(135, 239)(136, 227)(137, 232)(138, 226)(139, 237)(140, 233)(141, 230)(142, 228)(143, 234)(144, 231)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E17.2060
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 4 e = 144 f = 108
	degree seq :: [ 72^4 ]

E17.2065 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 36})
Quotient :: loop
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-2 * T2)^2, (T2 * T1)^4, T1^36 ]
Map:: polytopal non-degenerate
	R = (1, 145, 3, 147)(2, 146, 6, 150)(4, 148, 9, 153)(5, 149, 12, 156)(7, 151, 16, 160)(8, 152, 17, 161)(10, 154, 15, 159)(11, 155, 21, 165)(13, 157, 23, 167)(14, 158, 24, 168)(18, 162, 26, 170)(19, 163, 27, 171)(20, 164, 30, 174)(22, 166, 32, 176)(25, 169, 34, 178)(28, 172, 33, 177)(29, 173, 38, 182)(31, 175, 40, 184)(35, 179, 42, 186)(36, 180, 43, 187)(37, 181, 46, 190)(39, 183, 48, 192)(41, 185, 50, 194)(44, 188, 49, 193)(45, 189, 54, 198)(47, 191, 56, 200)(51, 195, 58, 202)(52, 196, 59, 203)(53, 197, 62, 206)(55, 199, 64, 208)(57, 201, 66, 210)(60, 204, 65, 209)(61, 205, 109, 253)(63, 207, 87, 231)(67, 211, 113, 257)(68, 212, 80, 224)(69, 213, 115, 259)(70, 214, 117, 261)(71, 215, 119, 263)(72, 216, 121, 265)(73, 217, 123, 267)(74, 218, 125, 269)(75, 219, 127, 271)(76, 220, 128, 272)(77, 221, 124, 268)(78, 222, 131, 275)(79, 223, 133, 277)(81, 225, 135, 279)(82, 226, 136, 280)(83, 227, 118, 262)(84, 228, 139, 283)(85, 229, 138, 282)(86, 230, 141, 285)(88, 232, 129, 273)(89, 233, 143, 287)(90, 234, 130, 274)(91, 235, 144, 288)(92, 236, 116, 260)(93, 237, 137, 281)(94, 238, 120, 264)(95, 239, 122, 266)(96, 240, 140, 284)(97, 241, 114, 258)(98, 242, 126, 270)(99, 243, 110, 254)(100, 244, 132, 276)(101, 245, 107, 251)(102, 246, 134, 278)(103, 247, 142, 286)(104, 248, 105, 249)(106, 250, 112, 256)(108, 252, 111, 255)
	L = (1, 146)(2, 149)(3, 151)(4, 145)(5, 155)(6, 157)(7, 159)(8, 147)(9, 162)(10, 148)(11, 164)(12, 152)(13, 153)(14, 150)(15, 169)(16, 167)(17, 168)(18, 171)(19, 154)(20, 173)(21, 158)(22, 156)(23, 161)(24, 176)(25, 177)(26, 160)(27, 179)(28, 163)(29, 181)(30, 166)(31, 165)(32, 184)(33, 185)(34, 170)(35, 187)(36, 172)(37, 189)(38, 175)(39, 174)(40, 192)(41, 193)(42, 178)(43, 195)(44, 180)(45, 197)(46, 183)(47, 182)(48, 200)(49, 201)(50, 186)(51, 203)(52, 188)(53, 205)(54, 191)(55, 190)(56, 208)(57, 209)(58, 194)(59, 211)(60, 196)(61, 228)(62, 199)(63, 198)(64, 231)(65, 226)(66, 202)(67, 224)(68, 204)(69, 214)(70, 217)(71, 219)(72, 213)(73, 223)(74, 225)(75, 227)(76, 215)(77, 230)(78, 216)(79, 232)(80, 220)(81, 221)(82, 218)(83, 235)(84, 233)(85, 234)(86, 236)(87, 222)(88, 237)(89, 229)(90, 238)(91, 239)(92, 240)(93, 241)(94, 242)(95, 243)(96, 244)(97, 245)(98, 246)(99, 247)(100, 248)(101, 249)(102, 250)(103, 251)(104, 252)(105, 254)(106, 255)(107, 256)(108, 258)(109, 207)(110, 284)(111, 286)(112, 281)(113, 210)(114, 278)(115, 283)(116, 262)(117, 287)(118, 268)(119, 269)(120, 267)(121, 253)(122, 260)(123, 282)(124, 263)(125, 212)(126, 277)(127, 279)(128, 280)(129, 264)(130, 261)(131, 206)(132, 266)(133, 274)(134, 273)(135, 272)(136, 257)(137, 270)(138, 259)(139, 275)(140, 288)(141, 271)(142, 276)(143, 265)(144, 285)
	local type(s) :: { ( 4, 36, 4, 36 ) }
Outer automorphisms :: reflexible
Dual of E17.2061
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 72 e = 144 f = 40
	degree seq :: [ 4^72 ]

E17.2066 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^36 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 10, 154)(6, 150, 12, 156)(8, 152, 11, 155)(13, 157, 17, 161)(14, 158, 18, 162)(15, 159, 19, 163)(16, 160, 20, 164)(21, 165, 25, 169)(22, 166, 26, 170)(23, 167, 27, 171)(24, 168, 28, 172)(29, 173, 33, 177)(30, 174, 34, 178)(31, 175, 35, 179)(32, 176, 36, 180)(37, 181, 57, 201)(38, 182, 59, 203)(39, 183, 61, 205)(40, 184, 63, 207)(41, 185, 65, 209)(42, 186, 67, 211)(43, 187, 70, 214)(44, 188, 68, 212)(45, 189, 73, 217)(46, 190, 75, 219)(47, 191, 77, 221)(48, 192, 79, 223)(49, 193, 81, 225)(50, 194, 83, 227)(51, 195, 85, 229)(52, 196, 87, 231)(53, 197, 89, 233)(54, 198, 91, 235)(55, 199, 93, 237)(56, 200, 95, 239)(58, 202, 98, 242)(60, 204, 97, 241)(62, 206, 102, 246)(64, 208, 105, 249)(66, 210, 104, 248)(69, 213, 109, 253)(71, 215, 108, 252)(72, 216, 101, 245)(74, 218, 114, 258)(76, 220, 113, 257)(78, 222, 118, 262)(80, 224, 117, 261)(82, 226, 122, 266)(84, 228, 121, 265)(86, 230, 126, 270)(88, 232, 125, 269)(90, 234, 130, 274)(92, 236, 129, 273)(94, 238, 134, 278)(96, 240, 133, 277)(99, 243, 137, 281)(100, 244, 138, 282)(103, 247, 141, 285)(106, 250, 143, 287)(107, 251, 144, 288)(110, 254, 139, 283)(111, 255, 140, 284)(112, 256, 142, 286)(115, 259, 136, 280)(116, 260, 135, 279)(119, 263, 132, 276)(120, 264, 131, 275)(123, 267, 127, 271)(124, 268, 128, 272)(289, 433, 291, 435, 296, 440, 292, 436)(290, 434, 293, 437, 299, 443, 294, 438)(295, 439, 301, 445, 297, 441, 302, 446)(298, 442, 303, 447, 300, 444, 304, 448)(305, 449, 309, 453, 306, 450, 310, 454)(307, 451, 311, 455, 308, 452, 312, 456)(313, 457, 317, 461, 314, 458, 318, 462)(315, 459, 319, 463, 316, 460, 320, 464)(321, 465, 325, 469, 322, 466, 326, 470)(323, 467, 327, 471, 324, 468, 332, 476)(328, 472, 347, 491, 329, 473, 345, 489)(330, 474, 356, 500, 331, 475, 349, 493)(333, 477, 353, 497, 334, 478, 351, 495)(335, 479, 358, 502, 336, 480, 355, 499)(337, 481, 363, 507, 338, 482, 361, 505)(339, 483, 367, 511, 340, 484, 365, 509)(341, 485, 371, 515, 342, 486, 369, 513)(343, 487, 375, 519, 344, 488, 373, 517)(346, 490, 379, 523, 348, 492, 377, 521)(350, 494, 383, 527, 360, 504, 381, 525)(352, 496, 385, 529, 354, 498, 386, 530)(357, 501, 389, 533, 359, 503, 390, 534)(362, 506, 392, 536, 364, 508, 393, 537)(366, 510, 396, 540, 368, 512, 397, 541)(370, 514, 401, 545, 372, 516, 402, 546)(374, 518, 405, 549, 376, 520, 406, 550)(378, 522, 409, 553, 380, 524, 410, 554)(382, 526, 413, 557, 384, 528, 414, 558)(387, 531, 417, 561, 388, 532, 418, 562)(391, 535, 421, 565, 400, 544, 422, 566)(394, 538, 426, 570, 395, 539, 425, 569)(398, 542, 430, 574, 399, 543, 429, 573)(403, 547, 432, 576, 404, 548, 431, 575)(407, 551, 428, 572, 408, 552, 427, 571)(411, 555, 423, 567, 412, 556, 424, 568)(415, 559, 419, 563, 416, 560, 420, 564)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 298)(6, 300)(7, 291)(8, 299)(9, 292)(10, 293)(11, 296)(12, 294)(13, 305)(14, 306)(15, 307)(16, 308)(17, 301)(18, 302)(19, 303)(20, 304)(21, 313)(22, 314)(23, 315)(24, 316)(25, 309)(26, 310)(27, 311)(28, 312)(29, 321)(30, 322)(31, 323)(32, 324)(33, 317)(34, 318)(35, 319)(36, 320)(37, 345)(38, 347)(39, 349)(40, 351)(41, 353)(42, 355)(43, 358)(44, 356)(45, 361)(46, 363)(47, 365)(48, 367)(49, 369)(50, 371)(51, 373)(52, 375)(53, 377)(54, 379)(55, 381)(56, 383)(57, 325)(58, 386)(59, 326)(60, 385)(61, 327)(62, 390)(63, 328)(64, 393)(65, 329)(66, 392)(67, 330)(68, 332)(69, 397)(70, 331)(71, 396)(72, 389)(73, 333)(74, 402)(75, 334)(76, 401)(77, 335)(78, 406)(79, 336)(80, 405)(81, 337)(82, 410)(83, 338)(84, 409)(85, 339)(86, 414)(87, 340)(88, 413)(89, 341)(90, 418)(91, 342)(92, 417)(93, 343)(94, 422)(95, 344)(96, 421)(97, 348)(98, 346)(99, 425)(100, 426)(101, 360)(102, 350)(103, 429)(104, 354)(105, 352)(106, 431)(107, 432)(108, 359)(109, 357)(110, 427)(111, 428)(112, 430)(113, 364)(114, 362)(115, 424)(116, 423)(117, 368)(118, 366)(119, 420)(120, 419)(121, 372)(122, 370)(123, 415)(124, 416)(125, 376)(126, 374)(127, 411)(128, 412)(129, 380)(130, 378)(131, 408)(132, 407)(133, 384)(134, 382)(135, 404)(136, 403)(137, 387)(138, 388)(139, 398)(140, 399)(141, 391)(142, 400)(143, 394)(144, 395)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 72, 2, 72 ), ( 2, 72, 2, 72, 2, 72, 2, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.2069
Graph:: bipartite
	v = 108 e = 288 f = 148
	degree seq :: [ 4^72, 8^36 ]

E17.2067 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^2, Y1^4, Y2^36 ]
Map::
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 13, 157, 8, 152)(5, 149, 11, 155, 14, 158, 7, 151)(10, 154, 16, 160, 21, 165, 17, 161)(12, 156, 15, 159, 22, 166, 19, 163)(18, 162, 25, 169, 29, 173, 24, 168)(20, 164, 27, 171, 30, 174, 23, 167)(26, 170, 32, 176, 37, 181, 33, 177)(28, 172, 31, 175, 38, 182, 35, 179)(34, 178, 41, 185, 45, 189, 40, 184)(36, 180, 43, 187, 46, 190, 39, 183)(42, 186, 48, 192, 53, 197, 49, 193)(44, 188, 47, 191, 54, 198, 51, 195)(50, 194, 57, 201, 61, 205, 56, 200)(52, 196, 59, 203, 62, 206, 55, 199)(58, 202, 64, 208, 107, 251, 65, 209)(60, 204, 63, 207, 118, 262, 67, 211)(66, 210, 121, 265, 99, 243, 144, 288)(68, 212, 103, 247, 143, 287, 94, 238)(69, 213, 123, 267, 74, 218, 124, 268)(70, 214, 125, 269, 72, 216, 126, 270)(71, 215, 127, 271, 81, 225, 128, 272)(73, 217, 129, 273, 82, 226, 130, 274)(75, 219, 131, 275, 79, 223, 132, 276)(76, 220, 133, 277, 77, 221, 122, 266)(78, 222, 134, 278, 89, 233, 135, 279)(80, 224, 120, 264, 90, 234, 119, 263)(83, 227, 136, 280, 87, 231, 137, 281)(84, 228, 116, 260, 85, 229, 138, 282)(86, 230, 139, 283, 97, 241, 140, 284)(88, 232, 114, 258, 98, 242, 115, 259)(91, 235, 141, 285, 95, 239, 142, 286)(92, 236, 117, 261, 93, 237, 112, 256)(96, 240, 111, 255, 104, 248, 110, 254)(100, 244, 108, 252, 101, 245, 113, 257)(102, 246, 105, 249, 109, 253, 106, 250)(289, 433, 291, 435, 298, 442, 306, 450, 314, 458, 322, 466, 330, 474, 338, 482, 346, 490, 354, 498, 379, 523, 375, 519, 363, 507, 360, 504, 364, 508, 373, 517, 380, 524, 389, 533, 393, 537, 399, 543, 402, 546, 408, 552, 417, 561, 411, 555, 415, 559, 422, 566, 427, 571, 356, 500, 348, 492, 340, 484, 332, 476, 324, 468, 316, 460, 308, 452, 300, 444, 293, 437)(290, 434, 295, 439, 303, 447, 311, 455, 319, 463, 327, 471, 335, 479, 343, 487, 351, 495, 382, 526, 385, 529, 366, 510, 369, 513, 357, 501, 370, 514, 368, 512, 386, 530, 384, 528, 397, 541, 396, 540, 405, 549, 404, 548, 421, 565, 413, 557, 419, 563, 424, 568, 429, 573, 432, 576, 352, 496, 344, 488, 336, 480, 328, 472, 320, 464, 312, 456, 304, 448, 296, 440)(292, 436, 299, 443, 307, 451, 315, 459, 323, 467, 331, 475, 339, 483, 347, 491, 355, 499, 391, 535, 374, 518, 377, 521, 359, 503, 362, 506, 361, 505, 378, 522, 376, 520, 392, 536, 390, 534, 401, 545, 400, 544, 426, 570, 410, 554, 414, 558, 420, 564, 425, 569, 430, 574, 409, 553, 353, 497, 345, 489, 337, 481, 329, 473, 321, 465, 313, 457, 305, 449, 297, 441)(294, 438, 301, 445, 309, 453, 317, 461, 325, 469, 333, 477, 341, 485, 349, 493, 395, 539, 387, 531, 383, 527, 371, 515, 367, 511, 358, 502, 365, 509, 372, 516, 381, 525, 388, 532, 394, 538, 398, 542, 403, 547, 407, 551, 418, 562, 412, 556, 416, 560, 423, 567, 428, 572, 431, 575, 406, 550, 350, 494, 342, 486, 334, 478, 326, 470, 318, 462, 310, 454, 302, 446)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 301)(7, 303)(8, 290)(9, 292)(10, 306)(11, 307)(12, 293)(13, 309)(14, 294)(15, 311)(16, 296)(17, 297)(18, 314)(19, 315)(20, 300)(21, 317)(22, 302)(23, 319)(24, 304)(25, 305)(26, 322)(27, 323)(28, 308)(29, 325)(30, 310)(31, 327)(32, 312)(33, 313)(34, 330)(35, 331)(36, 316)(37, 333)(38, 318)(39, 335)(40, 320)(41, 321)(42, 338)(43, 339)(44, 324)(45, 341)(46, 326)(47, 343)(48, 328)(49, 329)(50, 346)(51, 347)(52, 332)(53, 349)(54, 334)(55, 351)(56, 336)(57, 337)(58, 354)(59, 355)(60, 340)(61, 395)(62, 342)(63, 382)(64, 344)(65, 345)(66, 379)(67, 391)(68, 348)(69, 370)(70, 365)(71, 362)(72, 364)(73, 378)(74, 361)(75, 360)(76, 373)(77, 372)(78, 369)(79, 358)(80, 386)(81, 357)(82, 368)(83, 367)(84, 381)(85, 380)(86, 377)(87, 363)(88, 392)(89, 359)(90, 376)(91, 375)(92, 389)(93, 388)(94, 385)(95, 371)(96, 397)(97, 366)(98, 384)(99, 383)(100, 394)(101, 393)(102, 401)(103, 374)(104, 390)(105, 399)(106, 398)(107, 387)(108, 405)(109, 396)(110, 403)(111, 402)(112, 426)(113, 400)(114, 408)(115, 407)(116, 421)(117, 404)(118, 350)(119, 418)(120, 417)(121, 353)(122, 414)(123, 415)(124, 416)(125, 419)(126, 420)(127, 422)(128, 423)(129, 411)(130, 412)(131, 424)(132, 425)(133, 413)(134, 427)(135, 428)(136, 429)(137, 430)(138, 410)(139, 356)(140, 431)(141, 432)(142, 409)(143, 406)(144, 352)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 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 E17.2068
Graph:: bipartite
	v = 40 e = 288 f = 216
	degree seq :: [ 8^36, 72^4 ]

E17.2068 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|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, Y3^16 * Y2 * Y3^-20 * Y2, (Y3^-1 * Y1^-1)^36 ]
Map:: polytopal
	R = (1, 145)(2, 146)(3, 147)(4, 148)(5, 149)(6, 150)(7, 151)(8, 152)(9, 153)(10, 154)(11, 155)(12, 156)(13, 157)(14, 158)(15, 159)(16, 160)(17, 161)(18, 162)(19, 163)(20, 164)(21, 165)(22, 166)(23, 167)(24, 168)(25, 169)(26, 170)(27, 171)(28, 172)(29, 173)(30, 174)(31, 175)(32, 176)(33, 177)(34, 178)(35, 179)(36, 180)(37, 181)(38, 182)(39, 183)(40, 184)(41, 185)(42, 186)(43, 187)(44, 188)(45, 189)(46, 190)(47, 191)(48, 192)(49, 193)(50, 194)(51, 195)(52, 196)(53, 197)(54, 198)(55, 199)(56, 200)(57, 201)(58, 202)(59, 203)(60, 204)(61, 205)(62, 206)(63, 207)(64, 208)(65, 209)(66, 210)(67, 211)(68, 212)(69, 213)(70, 214)(71, 215)(72, 216)(73, 217)(74, 218)(75, 219)(76, 220)(77, 221)(78, 222)(79, 223)(80, 224)(81, 225)(82, 226)(83, 227)(84, 228)(85, 229)(86, 230)(87, 231)(88, 232)(89, 233)(90, 234)(91, 235)(92, 236)(93, 237)(94, 238)(95, 239)(96, 240)(97, 241)(98, 242)(99, 243)(100, 244)(101, 245)(102, 246)(103, 247)(104, 248)(105, 249)(106, 250)(107, 251)(108, 252)(109, 253)(110, 254)(111, 255)(112, 256)(113, 257)(114, 258)(115, 259)(116, 260)(117, 261)(118, 262)(119, 263)(120, 264)(121, 265)(122, 266)(123, 267)(124, 268)(125, 269)(126, 270)(127, 271)(128, 272)(129, 273)(130, 274)(131, 275)(132, 276)(133, 277)(134, 278)(135, 279)(136, 280)(137, 281)(138, 282)(139, 283)(140, 284)(141, 285)(142, 286)(143, 287)(144, 288)(289, 433, 290, 434)(291, 435, 295, 439)(292, 436, 297, 441)(293, 437, 299, 443)(294, 438, 301, 445)(296, 440, 302, 446)(298, 442, 300, 444)(303, 447, 308, 452)(304, 448, 311, 455)(305, 449, 313, 457)(306, 450, 309, 453)(307, 451, 315, 459)(310, 454, 317, 461)(312, 456, 319, 463)(314, 458, 320, 464)(316, 460, 318, 462)(321, 465, 327, 471)(322, 466, 329, 473)(323, 467, 325, 469)(324, 468, 331, 475)(326, 470, 333, 477)(328, 472, 335, 479)(330, 474, 336, 480)(332, 476, 334, 478)(337, 481, 343, 487)(338, 482, 345, 489)(339, 483, 341, 485)(340, 484, 347, 491)(342, 486, 349, 493)(344, 488, 351, 495)(346, 490, 352, 496)(348, 492, 350, 494)(353, 497, 395, 539)(354, 498, 360, 504)(355, 499, 369, 513)(356, 500, 399, 543)(357, 501, 397, 541)(358, 502, 401, 545)(359, 503, 402, 546)(361, 505, 403, 547)(362, 506, 393, 537)(363, 507, 404, 548)(364, 508, 405, 549)(365, 509, 406, 550)(366, 510, 407, 551)(367, 511, 408, 552)(368, 512, 409, 553)(370, 514, 410, 554)(371, 515, 411, 555)(372, 516, 412, 556)(373, 517, 413, 557)(374, 518, 414, 558)(375, 519, 415, 559)(376, 520, 416, 560)(377, 521, 417, 561)(378, 522, 418, 562)(379, 523, 419, 563)(380, 524, 420, 564)(381, 525, 421, 565)(382, 526, 422, 566)(383, 527, 423, 567)(384, 528, 424, 568)(385, 529, 425, 569)(386, 530, 426, 570)(387, 531, 427, 571)(388, 532, 429, 573)(389, 533, 430, 574)(390, 534, 431, 575)(391, 535, 394, 538)(392, 536, 398, 542)(396, 540, 432, 576)(400, 544, 428, 572)
	L = (1, 291)(2, 293)(3, 296)(4, 289)(5, 300)(6, 290)(7, 303)(8, 305)(9, 306)(10, 292)(11, 308)(12, 310)(13, 311)(14, 294)(15, 297)(16, 295)(17, 314)(18, 315)(19, 298)(20, 301)(21, 299)(22, 318)(23, 319)(24, 302)(25, 304)(26, 322)(27, 323)(28, 307)(29, 309)(30, 326)(31, 327)(32, 312)(33, 313)(34, 330)(35, 331)(36, 316)(37, 317)(38, 334)(39, 335)(40, 320)(41, 321)(42, 338)(43, 339)(44, 324)(45, 325)(46, 342)(47, 343)(48, 328)(49, 329)(50, 346)(51, 347)(52, 332)(53, 333)(54, 350)(55, 351)(56, 336)(57, 337)(58, 354)(59, 355)(60, 340)(61, 341)(62, 393)(63, 395)(64, 344)(65, 345)(66, 397)(67, 399)(68, 348)(69, 365)(70, 356)(71, 372)(72, 353)(73, 368)(74, 369)(75, 367)(76, 358)(77, 352)(78, 364)(79, 357)(80, 362)(81, 349)(82, 374)(83, 361)(84, 360)(85, 371)(86, 359)(87, 378)(88, 366)(89, 376)(90, 363)(91, 382)(92, 373)(93, 380)(94, 370)(95, 386)(96, 377)(97, 384)(98, 375)(99, 390)(100, 381)(101, 388)(102, 379)(103, 396)(104, 385)(105, 401)(106, 392)(107, 406)(108, 383)(109, 402)(110, 428)(111, 409)(112, 389)(113, 403)(114, 404)(115, 407)(116, 410)(117, 411)(118, 412)(119, 413)(120, 414)(121, 405)(122, 415)(123, 416)(124, 408)(125, 417)(126, 418)(127, 419)(128, 420)(129, 421)(130, 422)(131, 423)(132, 424)(133, 425)(134, 426)(135, 427)(136, 429)(137, 430)(138, 431)(139, 394)(140, 387)(141, 398)(142, 391)(143, 432)(144, 400)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 8, 72 ), ( 8, 72, 8, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.2067
Graph:: simple bipartite
	v = 216 e = 288 f = 40
	degree seq :: [ 2^144, 4^72 ]

E17.2069 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-2 * Y3^-1 * Y1^-2, (Y3^-1 * Y1)^4, Y1^36 ]
Map:: polytopal
	R = (1, 145, 2, 146, 5, 149, 11, 155, 20, 164, 29, 173, 37, 181, 45, 189, 53, 197, 61, 205, 72, 216, 69, 213, 70, 214, 73, 217, 78, 222, 86, 230, 92, 236, 97, 241, 101, 245, 105, 249, 110, 254, 122, 266, 116, 260, 118, 262, 124, 268, 131, 275, 128, 272, 68, 212, 60, 204, 52, 196, 44, 188, 36, 180, 28, 172, 19, 163, 10, 154, 4, 148)(3, 147, 7, 151, 15, 159, 25, 169, 33, 177, 41, 185, 49, 193, 57, 201, 65, 209, 79, 223, 76, 220, 71, 215, 75, 219, 82, 226, 89, 233, 94, 238, 99, 243, 103, 247, 107, 251, 112, 256, 133, 277, 129, 273, 120, 264, 127, 271, 117, 261, 140, 284, 121, 265, 142, 286, 62, 206, 55, 199, 46, 190, 39, 183, 30, 174, 22, 166, 12, 156, 8, 152)(6, 150, 13, 157, 9, 153, 18, 162, 27, 171, 35, 179, 43, 187, 51, 195, 59, 203, 67, 211, 81, 225, 74, 218, 80, 224, 77, 221, 85, 229, 91, 235, 96, 240, 100, 244, 104, 248, 108, 252, 114, 258, 135, 279, 126, 270, 134, 278, 123, 267, 139, 283, 115, 259, 137, 281, 109, 253, 63, 207, 54, 198, 47, 191, 38, 182, 31, 175, 21, 165, 14, 158)(16, 160, 23, 167, 17, 161, 24, 168, 32, 176, 40, 184, 48, 192, 56, 200, 64, 208, 95, 239, 90, 234, 83, 227, 87, 231, 84, 228, 88, 232, 93, 237, 98, 242, 102, 246, 106, 250, 111, 255, 144, 288, 143, 287, 138, 282, 141, 285, 136, 280, 130, 274, 119, 263, 125, 269, 132, 276, 113, 257, 66, 210, 58, 202, 50, 194, 42, 186, 34, 178, 26, 170)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 294)(3, 289)(4, 297)(5, 300)(6, 290)(7, 304)(8, 305)(9, 292)(10, 303)(11, 309)(12, 293)(13, 311)(14, 312)(15, 298)(16, 295)(17, 296)(18, 314)(19, 315)(20, 318)(21, 299)(22, 320)(23, 301)(24, 302)(25, 322)(26, 306)(27, 307)(28, 321)(29, 326)(30, 308)(31, 328)(32, 310)(33, 316)(34, 313)(35, 330)(36, 331)(37, 334)(38, 317)(39, 336)(40, 319)(41, 338)(42, 323)(43, 324)(44, 337)(45, 342)(46, 325)(47, 344)(48, 327)(49, 332)(50, 329)(51, 346)(52, 347)(53, 350)(54, 333)(55, 352)(56, 335)(57, 354)(58, 339)(59, 340)(60, 353)(61, 397)(62, 341)(63, 383)(64, 343)(65, 348)(66, 345)(67, 401)(68, 369)(69, 403)(70, 405)(71, 407)(72, 409)(73, 411)(74, 413)(75, 412)(76, 416)(77, 418)(78, 408)(79, 420)(80, 419)(81, 356)(82, 424)(83, 425)(84, 427)(85, 406)(86, 414)(87, 428)(88, 415)(89, 404)(90, 430)(91, 429)(92, 421)(93, 422)(94, 426)(95, 351)(96, 410)(97, 402)(98, 417)(99, 398)(100, 431)(101, 395)(102, 423)(103, 432)(104, 393)(105, 392)(106, 400)(107, 389)(108, 399)(109, 349)(110, 387)(111, 396)(112, 394)(113, 355)(114, 385)(115, 357)(116, 377)(117, 358)(118, 373)(119, 359)(120, 366)(121, 360)(122, 384)(123, 361)(124, 363)(125, 362)(126, 374)(127, 376)(128, 364)(129, 386)(130, 365)(131, 368)(132, 367)(133, 380)(134, 381)(135, 390)(136, 370)(137, 371)(138, 382)(139, 372)(140, 375)(141, 379)(142, 378)(143, 388)(144, 391)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2066
Graph:: simple bipartite
	v = 148 e = 288 f = 108
	degree seq :: [ 2^144, 72^4 ]

E17.2070 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^4, Y2^36 ]
Map::
	R = (1, 145, 2, 146)(3, 147, 7, 151)(4, 148, 9, 153)(5, 149, 11, 155)(6, 150, 13, 157)(8, 152, 14, 158)(10, 154, 12, 156)(15, 159, 20, 164)(16, 160, 23, 167)(17, 161, 25, 169)(18, 162, 21, 165)(19, 163, 27, 171)(22, 166, 29, 173)(24, 168, 31, 175)(26, 170, 32, 176)(28, 172, 30, 174)(33, 177, 39, 183)(34, 178, 41, 185)(35, 179, 37, 181)(36, 180, 43, 187)(38, 182, 45, 189)(40, 184, 47, 191)(42, 186, 48, 192)(44, 188, 46, 190)(49, 193, 55, 199)(50, 194, 57, 201)(51, 195, 53, 197)(52, 196, 59, 203)(54, 198, 61, 205)(56, 200, 63, 207)(58, 202, 64, 208)(60, 204, 62, 206)(65, 209, 104, 248)(66, 210, 120, 264)(67, 211, 121, 265)(68, 212, 105, 249)(69, 213, 123, 267)(70, 214, 124, 268)(71, 215, 125, 269)(72, 216, 126, 270)(73, 217, 127, 271)(74, 218, 122, 266)(75, 219, 128, 272)(76, 220, 129, 273)(77, 221, 130, 274)(78, 222, 119, 263)(79, 223, 131, 275)(80, 224, 132, 276)(81, 225, 133, 277)(82, 226, 134, 278)(83, 227, 135, 279)(84, 228, 116, 260)(85, 229, 136, 280)(86, 230, 137, 281)(87, 231, 114, 258)(88, 232, 138, 282)(89, 233, 118, 262)(90, 234, 139, 283)(91, 235, 140, 284)(92, 236, 112, 256)(93, 237, 117, 261)(94, 238, 141, 285)(95, 239, 142, 286)(96, 240, 111, 255)(97, 241, 115, 259)(98, 242, 143, 287)(99, 243, 113, 257)(100, 244, 108, 252)(101, 245, 144, 288)(102, 246, 106, 250)(103, 247, 110, 254)(107, 251, 109, 253)(289, 433, 291, 435, 296, 440, 305, 449, 314, 458, 322, 466, 330, 474, 338, 482, 346, 490, 354, 498, 383, 527, 368, 512, 365, 509, 358, 502, 363, 507, 370, 514, 381, 525, 387, 531, 395, 539, 398, 542, 403, 547, 406, 550, 419, 563, 426, 570, 421, 565, 428, 572, 431, 575, 356, 500, 348, 492, 340, 484, 332, 476, 324, 468, 316, 460, 307, 451, 298, 442, 292, 436)(290, 434, 293, 437, 300, 444, 310, 454, 318, 462, 326, 470, 334, 478, 342, 486, 350, 494, 382, 526, 386, 530, 364, 508, 369, 513, 357, 501, 367, 511, 366, 510, 385, 529, 384, 528, 397, 541, 396, 540, 405, 549, 404, 548, 416, 560, 423, 567, 418, 562, 425, 569, 430, 574, 432, 576, 352, 496, 344, 488, 336, 480, 328, 472, 320, 464, 312, 456, 302, 446, 294, 438)(295, 439, 303, 447, 297, 441, 306, 450, 315, 459, 323, 467, 331, 475, 339, 483, 347, 491, 355, 499, 393, 537, 373, 517, 379, 523, 359, 503, 376, 520, 360, 504, 377, 521, 375, 519, 391, 535, 390, 534, 401, 545, 400, 544, 422, 566, 410, 554, 412, 556, 415, 559, 420, 564, 427, 571, 408, 552, 353, 497, 345, 489, 337, 481, 329, 473, 321, 465, 313, 457, 304, 448)(299, 443, 308, 452, 301, 445, 311, 455, 319, 463, 327, 471, 335, 479, 343, 487, 351, 495, 392, 536, 389, 533, 378, 522, 374, 518, 361, 505, 371, 515, 362, 506, 372, 516, 380, 524, 388, 532, 394, 538, 399, 543, 402, 546, 407, 551, 414, 558, 411, 555, 413, 557, 417, 561, 424, 568, 429, 573, 409, 553, 349, 493, 341, 485, 333, 477, 325, 469, 317, 461, 309, 453)
	L = (1, 290)(2, 289)(3, 295)(4, 297)(5, 299)(6, 301)(7, 291)(8, 302)(9, 292)(10, 300)(11, 293)(12, 298)(13, 294)(14, 296)(15, 308)(16, 311)(17, 313)(18, 309)(19, 315)(20, 303)(21, 306)(22, 317)(23, 304)(24, 319)(25, 305)(26, 320)(27, 307)(28, 318)(29, 310)(30, 316)(31, 312)(32, 314)(33, 327)(34, 329)(35, 325)(36, 331)(37, 323)(38, 333)(39, 321)(40, 335)(41, 322)(42, 336)(43, 324)(44, 334)(45, 326)(46, 332)(47, 328)(48, 330)(49, 343)(50, 345)(51, 341)(52, 347)(53, 339)(54, 349)(55, 337)(56, 351)(57, 338)(58, 352)(59, 340)(60, 350)(61, 342)(62, 348)(63, 344)(64, 346)(65, 392)(66, 408)(67, 409)(68, 393)(69, 411)(70, 412)(71, 413)(72, 414)(73, 415)(74, 410)(75, 416)(76, 417)(77, 418)(78, 407)(79, 419)(80, 420)(81, 421)(82, 422)(83, 423)(84, 404)(85, 424)(86, 425)(87, 402)(88, 426)(89, 406)(90, 427)(91, 428)(92, 400)(93, 405)(94, 429)(95, 430)(96, 399)(97, 403)(98, 431)(99, 401)(100, 396)(101, 432)(102, 394)(103, 398)(104, 353)(105, 356)(106, 390)(107, 397)(108, 388)(109, 395)(110, 391)(111, 384)(112, 380)(113, 387)(114, 375)(115, 385)(116, 372)(117, 381)(118, 377)(119, 366)(120, 354)(121, 355)(122, 362)(123, 357)(124, 358)(125, 359)(126, 360)(127, 361)(128, 363)(129, 364)(130, 365)(131, 367)(132, 368)(133, 369)(134, 370)(135, 371)(136, 373)(137, 374)(138, 376)(139, 378)(140, 379)(141, 382)(142, 383)(143, 386)(144, 389)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 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 E17.2071
Graph:: bipartite
	v = 76 e = 288 f = 180
	degree seq :: [ 4^72, 72^4 ]

E17.2071 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 36})
Quotient :: dipole
Aut^+ = (C36 x C2) : C2 (small group id <144, 14>)
Aut   = $<288, 92>$ (small group id <288, 92>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (Y3 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^36 ]
Map:: polytopal
	R = (1, 145, 2, 146, 6, 150, 4, 148)(3, 147, 9, 153, 13, 157, 8, 152)(5, 149, 11, 155, 14, 158, 7, 151)(10, 154, 16, 160, 21, 165, 17, 161)(12, 156, 15, 159, 22, 166, 19, 163)(18, 162, 25, 169, 29, 173, 24, 168)(20, 164, 27, 171, 30, 174, 23, 167)(26, 170, 32, 176, 37, 181, 33, 177)(28, 172, 31, 175, 38, 182, 35, 179)(34, 178, 41, 185, 45, 189, 40, 184)(36, 180, 43, 187, 46, 190, 39, 183)(42, 186, 48, 192, 53, 197, 49, 193)(44, 188, 47, 191, 54, 198, 51, 195)(50, 194, 57, 201, 61, 205, 56, 200)(52, 196, 59, 203, 62, 206, 55, 199)(58, 202, 64, 208, 109, 253, 65, 209)(60, 204, 63, 207, 90, 234, 67, 211)(66, 210, 88, 232, 130, 274, 80, 224)(68, 212, 115, 259, 84, 228, 111, 255)(69, 213, 117, 261, 74, 218, 118, 262)(70, 214, 119, 263, 72, 216, 120, 264)(71, 215, 121, 265, 81, 225, 122, 266)(73, 217, 113, 257, 82, 226, 123, 267)(75, 219, 124, 268, 79, 223, 125, 269)(76, 220, 126, 270, 77, 221, 127, 271)(78, 222, 128, 272, 87, 231, 129, 273)(83, 227, 131, 275, 86, 230, 132, 276)(85, 229, 133, 277, 93, 237, 134, 278)(89, 233, 135, 279, 92, 236, 136, 280)(91, 235, 137, 281, 97, 241, 138, 282)(94, 238, 139, 283, 96, 240, 140, 284)(95, 239, 141, 285, 101, 245, 142, 286)(98, 242, 143, 287, 100, 244, 114, 258)(99, 243, 116, 260, 105, 249, 112, 256)(102, 246, 107, 251, 104, 248, 144, 288)(103, 247, 106, 250, 110, 254, 108, 252)(289, 433)(290, 434)(291, 435)(292, 436)(293, 437)(294, 438)(295, 439)(296, 440)(297, 441)(298, 442)(299, 443)(300, 444)(301, 445)(302, 446)(303, 447)(304, 448)(305, 449)(306, 450)(307, 451)(308, 452)(309, 453)(310, 454)(311, 455)(312, 456)(313, 457)(314, 458)(315, 459)(316, 460)(317, 461)(318, 462)(319, 463)(320, 464)(321, 465)(322, 466)(323, 467)(324, 468)(325, 469)(326, 470)(327, 471)(328, 472)(329, 473)(330, 474)(331, 475)(332, 476)(333, 477)(334, 478)(335, 479)(336, 480)(337, 481)(338, 482)(339, 483)(340, 484)(341, 485)(342, 486)(343, 487)(344, 488)(345, 489)(346, 490)(347, 491)(348, 492)(349, 493)(350, 494)(351, 495)(352, 496)(353, 497)(354, 498)(355, 499)(356, 500)(357, 501)(358, 502)(359, 503)(360, 504)(361, 505)(362, 506)(363, 507)(364, 508)(365, 509)(366, 510)(367, 511)(368, 512)(369, 513)(370, 514)(371, 515)(372, 516)(373, 517)(374, 518)(375, 519)(376, 520)(377, 521)(378, 522)(379, 523)(380, 524)(381, 525)(382, 526)(383, 527)(384, 528)(385, 529)(386, 530)(387, 531)(388, 532)(389, 533)(390, 534)(391, 535)(392, 536)(393, 537)(394, 538)(395, 539)(396, 540)(397, 541)(398, 542)(399, 543)(400, 544)(401, 545)(402, 546)(403, 547)(404, 548)(405, 549)(406, 550)(407, 551)(408, 552)(409, 553)(410, 554)(411, 555)(412, 556)(413, 557)(414, 558)(415, 559)(416, 560)(417, 561)(418, 562)(419, 563)(420, 564)(421, 565)(422, 566)(423, 567)(424, 568)(425, 569)(426, 570)(427, 571)(428, 572)(429, 573)(430, 574)(431, 575)(432, 576)
	L = (1, 291)(2, 295)(3, 298)(4, 299)(5, 289)(6, 301)(7, 303)(8, 290)(9, 292)(10, 306)(11, 307)(12, 293)(13, 309)(14, 294)(15, 311)(16, 296)(17, 297)(18, 314)(19, 315)(20, 300)(21, 317)(22, 302)(23, 319)(24, 304)(25, 305)(26, 322)(27, 323)(28, 308)(29, 325)(30, 310)(31, 327)(32, 312)(33, 313)(34, 330)(35, 331)(36, 316)(37, 333)(38, 318)(39, 335)(40, 320)(41, 321)(42, 338)(43, 339)(44, 324)(45, 341)(46, 326)(47, 343)(48, 328)(49, 329)(50, 346)(51, 347)(52, 332)(53, 349)(54, 334)(55, 351)(56, 336)(57, 337)(58, 354)(59, 355)(60, 340)(61, 397)(62, 342)(63, 399)(64, 344)(65, 345)(66, 401)(67, 403)(68, 348)(69, 370)(70, 365)(71, 362)(72, 364)(73, 376)(74, 361)(75, 360)(76, 356)(77, 372)(78, 369)(79, 358)(80, 352)(81, 357)(82, 368)(83, 367)(84, 378)(85, 375)(86, 363)(87, 359)(88, 353)(89, 374)(90, 350)(91, 381)(92, 371)(93, 366)(94, 380)(95, 385)(96, 377)(97, 373)(98, 384)(99, 389)(100, 382)(101, 379)(102, 388)(103, 393)(104, 386)(105, 383)(106, 392)(107, 398)(108, 390)(109, 418)(110, 387)(111, 414)(112, 396)(113, 405)(114, 432)(115, 415)(116, 394)(117, 409)(118, 410)(119, 412)(120, 413)(121, 416)(122, 417)(123, 406)(124, 419)(125, 420)(126, 407)(127, 408)(128, 421)(129, 422)(130, 411)(131, 423)(132, 424)(133, 425)(134, 426)(135, 427)(136, 428)(137, 429)(138, 430)(139, 431)(140, 402)(141, 404)(142, 400)(143, 395)(144, 391)(145, 433)(146, 434)(147, 435)(148, 436)(149, 437)(150, 438)(151, 439)(152, 440)(153, 441)(154, 442)(155, 443)(156, 444)(157, 445)(158, 446)(159, 447)(160, 448)(161, 449)(162, 450)(163, 451)(164, 452)(165, 453)(166, 454)(167, 455)(168, 456)(169, 457)(170, 458)(171, 459)(172, 460)(173, 461)(174, 462)(175, 463)(176, 464)(177, 465)(178, 466)(179, 467)(180, 468)(181, 469)(182, 470)(183, 471)(184, 472)(185, 473)(186, 474)(187, 475)(188, 476)(189, 477)(190, 478)(191, 479)(192, 480)(193, 481)(194, 482)(195, 483)(196, 484)(197, 485)(198, 486)(199, 487)(200, 488)(201, 489)(202, 490)(203, 491)(204, 492)(205, 493)(206, 494)(207, 495)(208, 496)(209, 497)(210, 498)(211, 499)(212, 500)(213, 501)(214, 502)(215, 503)(216, 504)(217, 505)(218, 506)(219, 507)(220, 508)(221, 509)(222, 510)(223, 511)(224, 512)(225, 513)(226, 514)(227, 515)(228, 516)(229, 517)(230, 518)(231, 519)(232, 520)(233, 521)(234, 522)(235, 523)(236, 524)(237, 525)(238, 526)(239, 527)(240, 528)(241, 529)(242, 530)(243, 531)(244, 532)(245, 533)(246, 534)(247, 535)(248, 536)(249, 537)(250, 538)(251, 539)(252, 540)(253, 541)(254, 542)(255, 543)(256, 544)(257, 545)(258, 546)(259, 547)(260, 548)(261, 549)(262, 550)(263, 551)(264, 552)(265, 553)(266, 554)(267, 555)(268, 556)(269, 557)(270, 558)(271, 559)(272, 560)(273, 561)(274, 562)(275, 563)(276, 564)(277, 565)(278, 566)(279, 567)(280, 568)(281, 569)(282, 570)(283, 571)(284, 572)(285, 573)(286, 574)(287, 575)(288, 576)
	local type(s) :: { ( 4, 72 ), ( 4, 72, 4, 72, 4, 72, 4, 72 ) }
Outer automorphisms :: reflexible
Dual of E17.2070
Graph:: simple bipartite
	v = 180 e = 288 f = 76
	degree seq :: [ 2^144, 8^36 ]

E17.2072 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 10})
Quotient :: regular
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^5, T1^10, T1^4 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1 * T2, T1^-3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 47, 46, 22, 10, 4)(3, 7, 15, 31, 63, 92, 77, 38, 18, 8)(6, 13, 27, 55, 69, 91, 113, 62, 30, 14)(9, 19, 39, 78, 93, 48, 72, 84, 42, 20)(12, 25, 51, 97, 90, 45, 89, 103, 54, 26)(16, 33, 67, 60, 29, 59, 109, 123, 70, 34)(17, 35, 71, 124, 137, 81, 40, 80, 73, 36)(21, 43, 85, 96, 50, 24, 49, 94, 88, 44)(28, 57, 107, 101, 53, 100, 150, 128, 108, 58)(32, 65, 116, 102, 132, 76, 131, 153, 119, 66)(37, 74, 127, 157, 115, 64, 114, 142, 130, 75)(41, 82, 138, 118, 154, 144, 86, 143, 121, 68)(52, 99, 149, 125, 95, 146, 122, 155, 136, 87)(56, 105, 152, 147, 126, 112, 156, 160, 145, 106)(61, 110, 141, 129, 117, 104, 135, 79, 134, 111)(83, 139, 98, 148, 158, 133, 120, 151, 159, 140)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 57)(38, 76)(39, 79)(42, 83)(43, 86)(44, 87)(46, 91)(47, 92)(49, 82)(50, 95)(51, 98)(54, 102)(55, 104)(58, 90)(59, 77)(60, 99)(62, 112)(63, 81)(65, 117)(66, 118)(67, 120)(70, 122)(71, 125)(73, 126)(74, 128)(75, 129)(78, 133)(80, 136)(84, 141)(85, 142)(88, 145)(89, 146)(93, 144)(94, 127)(96, 147)(97, 119)(100, 113)(101, 138)(103, 151)(105, 153)(106, 124)(107, 114)(108, 143)(109, 154)(110, 155)(111, 131)(115, 134)(116, 156)(121, 132)(123, 139)(130, 158)(135, 149)(137, 150)(140, 157)(148, 160)(152, 159)
	local type(s) :: { ( 5^10 ) }
Outer automorphisms :: reflexible
Dual of E17.2073
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 16 e = 80 f = 32
	degree seq :: [ 10^16 ]

E17.2073 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 10})
Quotient :: regular
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 51, 54, 29)(16, 30, 55, 58, 31)(20, 37, 67, 70, 38)(24, 44, 79, 82, 45)(25, 46, 83, 86, 47)(27, 49, 89, 91, 50)(32, 59, 101, 103, 60)(34, 62, 105, 80, 63)(35, 64, 108, 90, 65)(40, 72, 117, 106, 73)(41, 74, 57, 100, 75)(43, 77, 122, 123, 78)(48, 87, 129, 130, 88)(52, 93, 68, 112, 94)(53, 95, 119, 136, 96)(56, 98, 137, 133, 99)(61, 102, 141, 135, 104)(66, 92, 132, 147, 110)(69, 113, 85, 128, 97)(71, 115, 142, 150, 116)(76, 120, 152, 153, 121)(81, 124, 148, 155, 125)(84, 126, 144, 107, 127)(109, 140, 151, 118, 145)(111, 146, 157, 160, 139)(114, 143, 158, 131, 149)(134, 154, 159, 138, 156)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 40)(22, 41)(23, 43)(26, 48)(28, 52)(29, 53)(30, 56)(31, 57)(33, 61)(36, 66)(37, 68)(38, 69)(39, 71)(42, 76)(44, 80)(45, 81)(46, 84)(47, 85)(49, 88)(50, 90)(51, 92)(54, 72)(55, 97)(58, 78)(59, 79)(60, 102)(62, 106)(63, 107)(64, 109)(65, 83)(67, 111)(70, 114)(73, 118)(74, 119)(75, 108)(77, 121)(82, 112)(86, 116)(87, 117)(89, 131)(91, 125)(93, 133)(94, 120)(95, 134)(96, 135)(98, 129)(99, 138)(100, 139)(101, 140)(103, 142)(104, 128)(105, 143)(110, 146)(113, 148)(115, 149)(122, 147)(123, 151)(124, 154)(126, 152)(127, 156)(130, 157)(132, 155)(136, 158)(137, 150)(141, 153)(144, 160)(145, 159)
	local type(s) :: { ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E17.2072
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 32 e = 80 f = 16
	degree seq :: [ 5^32 ]

E17.2074 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2, (T2 * T1 * T2)^5 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 30, 16)(9, 18, 34, 36, 19)(11, 21, 40, 42, 22)(13, 24, 46, 48, 25)(17, 31, 58, 60, 32)(20, 37, 68, 70, 38)(23, 43, 78, 80, 44)(26, 49, 88, 90, 50)(27, 51, 87, 93, 52)(29, 54, 96, 98, 55)(33, 61, 105, 91, 62)(35, 64, 109, 79, 65)(39, 71, 67, 111, 72)(41, 74, 119, 121, 75)(45, 81, 127, 115, 82)(47, 84, 102, 59, 85)(53, 94, 137, 131, 86)(56, 99, 126, 123, 77)(57, 76, 122, 104, 100)(63, 89, 133, 120, 107)(66, 73, 117, 147, 110)(69, 113, 97, 129, 83)(92, 135, 148, 151, 125)(95, 138, 144, 106, 139)(101, 142, 134, 156, 140)(103, 116, 150, 160, 136)(108, 132, 159, 141, 145)(112, 146, 155, 158, 130)(114, 143, 154, 124, 149)(118, 152, 157, 128, 153)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 180)(172, 183)(174, 186)(175, 187)(176, 189)(178, 193)(179, 195)(181, 199)(182, 201)(184, 205)(185, 207)(188, 213)(190, 216)(191, 217)(192, 219)(194, 223)(196, 226)(197, 227)(198, 229)(200, 233)(202, 236)(203, 237)(204, 239)(206, 243)(208, 246)(209, 247)(210, 249)(211, 251)(212, 252)(214, 255)(215, 257)(218, 261)(220, 263)(221, 264)(222, 266)(224, 268)(225, 256)(228, 272)(230, 274)(231, 275)(232, 276)(234, 278)(235, 280)(238, 284)(240, 285)(241, 286)(242, 288)(244, 290)(245, 279)(248, 292)(250, 294)(253, 271)(254, 296)(258, 300)(259, 282)(260, 301)(262, 269)(265, 303)(267, 289)(270, 306)(273, 308)(277, 311)(281, 314)(283, 315)(287, 316)(291, 319)(293, 320)(295, 312)(297, 307)(298, 310)(299, 313)(302, 309)(304, 318)(305, 317)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 20, 20 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E17.2078
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 160 f = 16
	degree seq :: [ 2^80, 5^32 ]

E17.2075 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^5, T2 * T1^-1 * T2^-1 * T1 * T2^-3 * T1^2, (T2 * T1^-1)^5, T2^10, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 58, 119, 85, 37, 15, 5)(2, 7, 18, 43, 94, 147, 108, 50, 21, 8)(4, 12, 30, 69, 130, 154, 113, 54, 23, 9)(6, 16, 38, 86, 139, 160, 133, 78, 41, 17)(11, 27, 63, 66, 84, 138, 156, 116, 56, 24)(13, 32, 73, 55, 114, 155, 149, 102, 67, 29)(14, 34, 77, 134, 157, 118, 59, 39, 80, 35)(19, 45, 52, 22, 51, 109, 151, 145, 92, 42)(20, 47, 101, 121, 153, 146, 95, 74, 104, 48)(26, 60, 120, 83, 36, 82, 137, 88, 117, 57)(28, 65, 126, 87, 140, 144, 143, 91, 81, 62)(31, 71, 90, 40, 89, 141, 148, 125, 129, 68)(33, 75, 61, 122, 158, 152, 159, 128, 105, 76)(44, 96, 115, 107, 49, 106, 131, 72, 124, 93)(46, 99, 97, 70, 127, 135, 112, 53, 111, 100)(64, 103, 150, 110, 98, 142, 132, 79, 136, 123)(161, 162, 166, 173, 164)(163, 169, 182, 188, 171)(165, 174, 193, 179, 167)(168, 180, 206, 199, 176)(170, 184, 215, 221, 186)(172, 189, 226, 232, 191)(175, 196, 241, 238, 194)(177, 200, 248, 234, 192)(178, 202, 229, 257, 204)(181, 209, 265, 262, 207)(183, 213, 266, 210, 211)(185, 217, 247, 198, 219)(187, 222, 243, 285, 224)(190, 228, 246, 286, 230)(195, 239, 281, 220, 235)(197, 244, 227, 288, 242)(201, 251, 271, 214, 249)(203, 253, 282, 233, 255)(205, 236, 267, 276, 258)(208, 263, 308, 256, 259)(212, 270, 294, 287, 225)(216, 275, 301, 273, 274)(218, 278, 312, 269, 268)(223, 283, 311, 318, 284)(231, 291, 272, 313, 292)(237, 293, 254, 306, 295)(240, 260, 303, 305, 296)(245, 290, 252, 304, 298)(250, 302, 316, 300, 277)(261, 309, 299, 289, 280)(264, 297, 319, 317, 310)(279, 307, 320, 315, 314)
	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) :: { ( 4^5 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E17.2079
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 5^32, 10^16 ]

E17.2076 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^5, T1^10, T1^4 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1 * T2, T1^-3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 37)(19, 40)(20, 41)(22, 45)(23, 48)(25, 52)(26, 53)(27, 56)(30, 61)(31, 64)(33, 68)(34, 69)(35, 72)(36, 57)(38, 76)(39, 79)(42, 83)(43, 86)(44, 87)(46, 91)(47, 92)(49, 82)(50, 95)(51, 98)(54, 102)(55, 104)(58, 90)(59, 77)(60, 99)(62, 112)(63, 81)(65, 117)(66, 118)(67, 120)(70, 122)(71, 125)(73, 126)(74, 128)(75, 129)(78, 133)(80, 136)(84, 141)(85, 142)(88, 145)(89, 146)(93, 144)(94, 127)(96, 147)(97, 119)(100, 113)(101, 138)(103, 151)(105, 153)(106, 124)(107, 114)(108, 143)(109, 154)(110, 155)(111, 131)(115, 134)(116, 156)(121, 132)(123, 139)(130, 158)(135, 149)(137, 150)(140, 157)(148, 160)(152, 159)(161, 162, 165, 171, 183, 207, 206, 182, 170, 164)(163, 167, 175, 191, 223, 252, 237, 198, 178, 168)(166, 173, 187, 215, 229, 251, 273, 222, 190, 174)(169, 179, 199, 238, 253, 208, 232, 244, 202, 180)(172, 185, 211, 257, 250, 205, 249, 263, 214, 186)(176, 193, 227, 220, 189, 219, 269, 283, 230, 194)(177, 195, 231, 284, 297, 241, 200, 240, 233, 196)(181, 203, 245, 256, 210, 184, 209, 254, 248, 204)(188, 217, 267, 261, 213, 260, 310, 288, 268, 218)(192, 225, 276, 262, 292, 236, 291, 313, 279, 226)(197, 234, 287, 317, 275, 224, 274, 302, 290, 235)(201, 242, 298, 278, 314, 304, 246, 303, 281, 228)(212, 259, 309, 285, 255, 306, 282, 315, 296, 247)(216, 265, 312, 307, 286, 272, 316, 320, 305, 266)(221, 270, 301, 289, 277, 264, 295, 239, 294, 271)(243, 299, 258, 308, 318, 293, 280, 311, 319, 300)
	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 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E17.2077
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 160 f = 32
	degree seq :: [ 2^80, 10^16 ]

E17.2077 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1, T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2, (T2 * T1 * T2)^5 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 10, 170, 4, 164)(2, 162, 5, 165, 12, 172, 14, 174, 6, 166)(7, 167, 15, 175, 28, 188, 30, 190, 16, 176)(9, 169, 18, 178, 34, 194, 36, 196, 19, 179)(11, 171, 21, 181, 40, 200, 42, 202, 22, 182)(13, 173, 24, 184, 46, 206, 48, 208, 25, 185)(17, 177, 31, 191, 58, 218, 60, 220, 32, 192)(20, 180, 37, 197, 68, 228, 70, 230, 38, 198)(23, 183, 43, 203, 78, 238, 80, 240, 44, 204)(26, 186, 49, 209, 88, 248, 90, 250, 50, 210)(27, 187, 51, 211, 87, 247, 93, 253, 52, 212)(29, 189, 54, 214, 96, 256, 98, 258, 55, 215)(33, 193, 61, 221, 105, 265, 91, 251, 62, 222)(35, 195, 64, 224, 109, 269, 79, 239, 65, 225)(39, 199, 71, 231, 67, 227, 111, 271, 72, 232)(41, 201, 74, 234, 119, 279, 121, 281, 75, 235)(45, 205, 81, 241, 127, 287, 115, 275, 82, 242)(47, 207, 84, 244, 102, 262, 59, 219, 85, 245)(53, 213, 94, 254, 137, 297, 131, 291, 86, 246)(56, 216, 99, 259, 126, 286, 123, 283, 77, 237)(57, 217, 76, 236, 122, 282, 104, 264, 100, 260)(63, 223, 89, 249, 133, 293, 120, 280, 107, 267)(66, 226, 73, 233, 117, 277, 147, 307, 110, 270)(69, 229, 113, 273, 97, 257, 129, 289, 83, 243)(92, 252, 135, 295, 148, 308, 151, 311, 125, 285)(95, 255, 138, 298, 144, 304, 106, 266, 139, 299)(101, 261, 142, 302, 134, 294, 156, 316, 140, 300)(103, 263, 116, 276, 150, 310, 160, 320, 136, 296)(108, 268, 132, 292, 159, 319, 141, 301, 145, 305)(112, 272, 146, 306, 155, 315, 158, 318, 130, 290)(114, 274, 143, 303, 154, 314, 124, 284, 149, 309)(118, 278, 152, 312, 157, 317, 128, 288, 153, 313)
	L = (1, 162)(2, 161)(3, 167)(4, 169)(5, 171)(6, 173)(7, 163)(8, 177)(9, 164)(10, 180)(11, 165)(12, 183)(13, 166)(14, 186)(15, 187)(16, 189)(17, 168)(18, 193)(19, 195)(20, 170)(21, 199)(22, 201)(23, 172)(24, 205)(25, 207)(26, 174)(27, 175)(28, 213)(29, 176)(30, 216)(31, 217)(32, 219)(33, 178)(34, 223)(35, 179)(36, 226)(37, 227)(38, 229)(39, 181)(40, 233)(41, 182)(42, 236)(43, 237)(44, 239)(45, 184)(46, 243)(47, 185)(48, 246)(49, 247)(50, 249)(51, 251)(52, 252)(53, 188)(54, 255)(55, 257)(56, 190)(57, 191)(58, 261)(59, 192)(60, 263)(61, 264)(62, 266)(63, 194)(64, 268)(65, 256)(66, 196)(67, 197)(68, 272)(69, 198)(70, 274)(71, 275)(72, 276)(73, 200)(74, 278)(75, 280)(76, 202)(77, 203)(78, 284)(79, 204)(80, 285)(81, 286)(82, 288)(83, 206)(84, 290)(85, 279)(86, 208)(87, 209)(88, 292)(89, 210)(90, 294)(91, 211)(92, 212)(93, 271)(94, 296)(95, 214)(96, 225)(97, 215)(98, 300)(99, 282)(100, 301)(101, 218)(102, 269)(103, 220)(104, 221)(105, 303)(106, 222)(107, 289)(108, 224)(109, 262)(110, 306)(111, 253)(112, 228)(113, 308)(114, 230)(115, 231)(116, 232)(117, 311)(118, 234)(119, 245)(120, 235)(121, 314)(122, 259)(123, 315)(124, 238)(125, 240)(126, 241)(127, 316)(128, 242)(129, 267)(130, 244)(131, 319)(132, 248)(133, 320)(134, 250)(135, 312)(136, 254)(137, 307)(138, 310)(139, 313)(140, 258)(141, 260)(142, 309)(143, 265)(144, 318)(145, 317)(146, 270)(147, 297)(148, 273)(149, 302)(150, 298)(151, 277)(152, 295)(153, 299)(154, 281)(155, 283)(156, 287)(157, 305)(158, 304)(159, 291)(160, 293)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2076
Transitivity :: ET+ VT+ AT
Graph::
	v = 32 e = 160 f = 96
	degree seq :: [ 10^32 ]

E17.2078 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, (F * T1)^2, (F * T2)^2, T1^5, T2 * T1^-1 * T2^-1 * T1 * T2^-3 * T1^2, (T2 * T1^-1)^5, T2^10, T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-1 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 25, 185, 58, 218, 119, 279, 85, 245, 37, 197, 15, 175, 5, 165)(2, 162, 7, 167, 18, 178, 43, 203, 94, 254, 147, 307, 108, 268, 50, 210, 21, 181, 8, 168)(4, 164, 12, 172, 30, 190, 69, 229, 130, 290, 154, 314, 113, 273, 54, 214, 23, 183, 9, 169)(6, 166, 16, 176, 38, 198, 86, 246, 139, 299, 160, 320, 133, 293, 78, 238, 41, 201, 17, 177)(11, 171, 27, 187, 63, 223, 66, 226, 84, 244, 138, 298, 156, 316, 116, 276, 56, 216, 24, 184)(13, 173, 32, 192, 73, 233, 55, 215, 114, 274, 155, 315, 149, 309, 102, 262, 67, 227, 29, 189)(14, 174, 34, 194, 77, 237, 134, 294, 157, 317, 118, 278, 59, 219, 39, 199, 80, 240, 35, 195)(19, 179, 45, 205, 52, 212, 22, 182, 51, 211, 109, 269, 151, 311, 145, 305, 92, 252, 42, 202)(20, 180, 47, 207, 101, 261, 121, 281, 153, 313, 146, 306, 95, 255, 74, 234, 104, 264, 48, 208)(26, 186, 60, 220, 120, 280, 83, 243, 36, 196, 82, 242, 137, 297, 88, 248, 117, 277, 57, 217)(28, 188, 65, 225, 126, 286, 87, 247, 140, 300, 144, 304, 143, 303, 91, 251, 81, 241, 62, 222)(31, 191, 71, 231, 90, 250, 40, 200, 89, 249, 141, 301, 148, 308, 125, 285, 129, 289, 68, 228)(33, 193, 75, 235, 61, 221, 122, 282, 158, 318, 152, 312, 159, 319, 128, 288, 105, 265, 76, 236)(44, 204, 96, 256, 115, 275, 107, 267, 49, 209, 106, 266, 131, 291, 72, 232, 124, 284, 93, 253)(46, 206, 99, 259, 97, 257, 70, 230, 127, 287, 135, 295, 112, 272, 53, 213, 111, 271, 100, 260)(64, 224, 103, 263, 150, 310, 110, 270, 98, 258, 142, 302, 132, 292, 79, 239, 136, 296, 123, 283)
	L = (1, 162)(2, 166)(3, 169)(4, 161)(5, 174)(6, 173)(7, 165)(8, 180)(9, 182)(10, 184)(11, 163)(12, 189)(13, 164)(14, 193)(15, 196)(16, 168)(17, 200)(18, 202)(19, 167)(20, 206)(21, 209)(22, 188)(23, 213)(24, 215)(25, 217)(26, 170)(27, 222)(28, 171)(29, 226)(30, 228)(31, 172)(32, 177)(33, 179)(34, 175)(35, 239)(36, 241)(37, 244)(38, 219)(39, 176)(40, 248)(41, 251)(42, 229)(43, 253)(44, 178)(45, 236)(46, 199)(47, 181)(48, 263)(49, 265)(50, 211)(51, 183)(52, 270)(53, 266)(54, 249)(55, 221)(56, 275)(57, 247)(58, 278)(59, 185)(60, 235)(61, 186)(62, 243)(63, 283)(64, 187)(65, 212)(66, 232)(67, 288)(68, 246)(69, 257)(70, 190)(71, 291)(72, 191)(73, 255)(74, 192)(75, 195)(76, 267)(77, 293)(78, 194)(79, 281)(80, 260)(81, 238)(82, 197)(83, 285)(84, 227)(85, 290)(86, 286)(87, 198)(88, 234)(89, 201)(90, 302)(91, 271)(92, 304)(93, 282)(94, 306)(95, 203)(96, 259)(97, 204)(98, 205)(99, 208)(100, 303)(101, 309)(102, 207)(103, 308)(104, 297)(105, 262)(106, 210)(107, 276)(108, 218)(109, 268)(110, 294)(111, 214)(112, 313)(113, 274)(114, 216)(115, 301)(116, 258)(117, 250)(118, 312)(119, 307)(120, 261)(121, 220)(122, 233)(123, 311)(124, 223)(125, 224)(126, 230)(127, 225)(128, 242)(129, 280)(130, 252)(131, 272)(132, 231)(133, 254)(134, 287)(135, 237)(136, 240)(137, 319)(138, 245)(139, 289)(140, 277)(141, 273)(142, 316)(143, 305)(144, 298)(145, 296)(146, 295)(147, 320)(148, 256)(149, 299)(150, 264)(151, 318)(152, 269)(153, 292)(154, 279)(155, 314)(156, 300)(157, 310)(158, 284)(159, 317)(160, 315)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E17.2074
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 160 f = 112
	degree seq :: [ 20^16 ]

E17.2079 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^5, T1^10, T1^4 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2, T1 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1 * T2, T1^-3 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 ]
Map:: polytopal non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 12, 172)(7, 167, 16, 176)(8, 168, 17, 177)(10, 170, 21, 181)(11, 171, 24, 184)(13, 173, 28, 188)(14, 174, 29, 189)(15, 175, 32, 192)(18, 178, 37, 197)(19, 179, 40, 200)(20, 180, 41, 201)(22, 182, 45, 205)(23, 183, 48, 208)(25, 185, 52, 212)(26, 186, 53, 213)(27, 187, 56, 216)(30, 190, 61, 221)(31, 191, 64, 224)(33, 193, 68, 228)(34, 194, 69, 229)(35, 195, 72, 232)(36, 196, 57, 217)(38, 198, 76, 236)(39, 199, 79, 239)(42, 202, 83, 243)(43, 203, 86, 246)(44, 204, 87, 247)(46, 206, 91, 251)(47, 207, 92, 252)(49, 209, 82, 242)(50, 210, 95, 255)(51, 211, 98, 258)(54, 214, 102, 262)(55, 215, 104, 264)(58, 218, 90, 250)(59, 219, 77, 237)(60, 220, 99, 259)(62, 222, 112, 272)(63, 223, 81, 241)(65, 225, 117, 277)(66, 226, 118, 278)(67, 227, 120, 280)(70, 230, 122, 282)(71, 231, 125, 285)(73, 233, 126, 286)(74, 234, 128, 288)(75, 235, 129, 289)(78, 238, 133, 293)(80, 240, 136, 296)(84, 244, 141, 301)(85, 245, 142, 302)(88, 248, 145, 305)(89, 249, 146, 306)(93, 253, 144, 304)(94, 254, 127, 287)(96, 256, 147, 307)(97, 257, 119, 279)(100, 260, 113, 273)(101, 261, 138, 298)(103, 263, 151, 311)(105, 265, 153, 313)(106, 266, 124, 284)(107, 267, 114, 274)(108, 268, 143, 303)(109, 269, 154, 314)(110, 270, 155, 315)(111, 271, 131, 291)(115, 275, 134, 294)(116, 276, 156, 316)(121, 281, 132, 292)(123, 283, 139, 299)(130, 290, 158, 318)(135, 295, 149, 309)(137, 297, 150, 310)(140, 300, 157, 317)(148, 308, 160, 320)(152, 312, 159, 319)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 171)(6, 173)(7, 175)(8, 163)(9, 179)(10, 164)(11, 183)(12, 185)(13, 187)(14, 166)(15, 191)(16, 193)(17, 195)(18, 168)(19, 199)(20, 169)(21, 203)(22, 170)(23, 207)(24, 209)(25, 211)(26, 172)(27, 215)(28, 217)(29, 219)(30, 174)(31, 223)(32, 225)(33, 227)(34, 176)(35, 231)(36, 177)(37, 234)(38, 178)(39, 238)(40, 240)(41, 242)(42, 180)(43, 245)(44, 181)(45, 249)(46, 182)(47, 206)(48, 232)(49, 254)(50, 184)(51, 257)(52, 259)(53, 260)(54, 186)(55, 229)(56, 265)(57, 267)(58, 188)(59, 269)(60, 189)(61, 270)(62, 190)(63, 252)(64, 274)(65, 276)(66, 192)(67, 220)(68, 201)(69, 251)(70, 194)(71, 284)(72, 244)(73, 196)(74, 287)(75, 197)(76, 291)(77, 198)(78, 253)(79, 294)(80, 233)(81, 200)(82, 298)(83, 299)(84, 202)(85, 256)(86, 303)(87, 212)(88, 204)(89, 263)(90, 205)(91, 273)(92, 237)(93, 208)(94, 248)(95, 306)(96, 210)(97, 250)(98, 308)(99, 309)(100, 310)(101, 213)(102, 292)(103, 214)(104, 295)(105, 312)(106, 216)(107, 261)(108, 218)(109, 283)(110, 301)(111, 221)(112, 316)(113, 222)(114, 302)(115, 224)(116, 262)(117, 264)(118, 314)(119, 226)(120, 311)(121, 228)(122, 315)(123, 230)(124, 297)(125, 255)(126, 272)(127, 317)(128, 268)(129, 277)(130, 235)(131, 313)(132, 236)(133, 280)(134, 271)(135, 239)(136, 247)(137, 241)(138, 278)(139, 258)(140, 243)(141, 289)(142, 290)(143, 281)(144, 246)(145, 266)(146, 282)(147, 286)(148, 318)(149, 285)(150, 288)(151, 319)(152, 307)(153, 279)(154, 304)(155, 296)(156, 320)(157, 275)(158, 293)(159, 300)(160, 305)
	local type(s) :: { ( 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2075
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.2080 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, (R * Y2^-2 * Y1)^2, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1, Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2, (Y2 * Y1 * Y2)^5, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 17, 177)(10, 170, 20, 180)(12, 172, 23, 183)(14, 174, 26, 186)(15, 175, 27, 187)(16, 176, 29, 189)(18, 178, 33, 193)(19, 179, 35, 195)(21, 181, 39, 199)(22, 182, 41, 201)(24, 184, 45, 205)(25, 185, 47, 207)(28, 188, 53, 213)(30, 190, 56, 216)(31, 191, 57, 217)(32, 192, 59, 219)(34, 194, 63, 223)(36, 196, 66, 226)(37, 197, 67, 227)(38, 198, 69, 229)(40, 200, 73, 233)(42, 202, 76, 236)(43, 203, 77, 237)(44, 204, 79, 239)(46, 206, 83, 243)(48, 208, 86, 246)(49, 209, 87, 247)(50, 210, 89, 249)(51, 211, 91, 251)(52, 212, 92, 252)(54, 214, 95, 255)(55, 215, 97, 257)(58, 218, 101, 261)(60, 220, 103, 263)(61, 221, 104, 264)(62, 222, 106, 266)(64, 224, 108, 268)(65, 225, 96, 256)(68, 228, 112, 272)(70, 230, 114, 274)(71, 231, 115, 275)(72, 232, 116, 276)(74, 234, 118, 278)(75, 235, 120, 280)(78, 238, 124, 284)(80, 240, 125, 285)(81, 241, 126, 286)(82, 242, 128, 288)(84, 244, 130, 290)(85, 245, 119, 279)(88, 248, 132, 292)(90, 250, 134, 294)(93, 253, 111, 271)(94, 254, 136, 296)(98, 258, 140, 300)(99, 259, 122, 282)(100, 260, 141, 301)(102, 262, 109, 269)(105, 265, 143, 303)(107, 267, 129, 289)(110, 270, 146, 306)(113, 273, 148, 308)(117, 277, 151, 311)(121, 281, 154, 314)(123, 283, 155, 315)(127, 287, 156, 316)(131, 291, 159, 319)(133, 293, 160, 320)(135, 295, 152, 312)(137, 297, 147, 307)(138, 298, 150, 310)(139, 299, 153, 313)(142, 302, 149, 309)(144, 304, 158, 318)(145, 305, 157, 317)(321, 481, 323, 483, 328, 488, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 334, 494, 326, 486)(327, 487, 335, 495, 348, 508, 350, 510, 336, 496)(329, 489, 338, 498, 354, 514, 356, 516, 339, 499)(331, 491, 341, 501, 360, 520, 362, 522, 342, 502)(333, 493, 344, 504, 366, 526, 368, 528, 345, 505)(337, 497, 351, 511, 378, 538, 380, 540, 352, 512)(340, 500, 357, 517, 388, 548, 390, 550, 358, 518)(343, 503, 363, 523, 398, 558, 400, 560, 364, 524)(346, 506, 369, 529, 408, 568, 410, 570, 370, 530)(347, 507, 371, 531, 407, 567, 413, 573, 372, 532)(349, 509, 374, 534, 416, 576, 418, 578, 375, 535)(353, 513, 381, 541, 425, 585, 411, 571, 382, 542)(355, 515, 384, 544, 429, 589, 399, 559, 385, 545)(359, 519, 391, 551, 387, 547, 431, 591, 392, 552)(361, 521, 394, 554, 439, 599, 441, 601, 395, 555)(365, 525, 401, 561, 447, 607, 435, 595, 402, 562)(367, 527, 404, 564, 422, 582, 379, 539, 405, 565)(373, 533, 414, 574, 457, 617, 451, 611, 406, 566)(376, 536, 419, 579, 446, 606, 443, 603, 397, 557)(377, 537, 396, 556, 442, 602, 424, 584, 420, 580)(383, 543, 409, 569, 453, 613, 440, 600, 427, 587)(386, 546, 393, 553, 437, 597, 467, 627, 430, 590)(389, 549, 433, 593, 417, 577, 449, 609, 403, 563)(412, 572, 455, 615, 468, 628, 471, 631, 445, 605)(415, 575, 458, 618, 464, 624, 426, 586, 459, 619)(421, 581, 462, 622, 454, 614, 476, 636, 460, 620)(423, 583, 436, 596, 470, 630, 480, 640, 456, 616)(428, 588, 452, 612, 479, 639, 461, 621, 465, 625)(432, 592, 466, 626, 475, 635, 478, 638, 450, 610)(434, 594, 463, 623, 474, 634, 444, 604, 469, 629)(438, 598, 472, 632, 477, 637, 448, 608, 473, 633)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 340)(11, 325)(12, 343)(13, 326)(14, 346)(15, 347)(16, 349)(17, 328)(18, 353)(19, 355)(20, 330)(21, 359)(22, 361)(23, 332)(24, 365)(25, 367)(26, 334)(27, 335)(28, 373)(29, 336)(30, 376)(31, 377)(32, 379)(33, 338)(34, 383)(35, 339)(36, 386)(37, 387)(38, 389)(39, 341)(40, 393)(41, 342)(42, 396)(43, 397)(44, 399)(45, 344)(46, 403)(47, 345)(48, 406)(49, 407)(50, 409)(51, 411)(52, 412)(53, 348)(54, 415)(55, 417)(56, 350)(57, 351)(58, 421)(59, 352)(60, 423)(61, 424)(62, 426)(63, 354)(64, 428)(65, 416)(66, 356)(67, 357)(68, 432)(69, 358)(70, 434)(71, 435)(72, 436)(73, 360)(74, 438)(75, 440)(76, 362)(77, 363)(78, 444)(79, 364)(80, 445)(81, 446)(82, 448)(83, 366)(84, 450)(85, 439)(86, 368)(87, 369)(88, 452)(89, 370)(90, 454)(91, 371)(92, 372)(93, 431)(94, 456)(95, 374)(96, 385)(97, 375)(98, 460)(99, 442)(100, 461)(101, 378)(102, 429)(103, 380)(104, 381)(105, 463)(106, 382)(107, 449)(108, 384)(109, 422)(110, 466)(111, 413)(112, 388)(113, 468)(114, 390)(115, 391)(116, 392)(117, 471)(118, 394)(119, 405)(120, 395)(121, 474)(122, 419)(123, 475)(124, 398)(125, 400)(126, 401)(127, 476)(128, 402)(129, 427)(130, 404)(131, 479)(132, 408)(133, 480)(134, 410)(135, 472)(136, 414)(137, 467)(138, 470)(139, 473)(140, 418)(141, 420)(142, 469)(143, 425)(144, 478)(145, 477)(146, 430)(147, 457)(148, 433)(149, 462)(150, 458)(151, 437)(152, 455)(153, 459)(154, 441)(155, 443)(156, 447)(157, 465)(158, 464)(159, 451)(160, 453)(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, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2083
Graph:: bipartite
	v = 112 e = 320 f = 176
	degree seq :: [ 4^80, 10^32 ]

E17.2081 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y3^-1 * Y1^-1)^2, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, Y2^3 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^-2, (Y2 * Y1^-1)^5, Y2^10, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 13, 173, 4, 164)(3, 163, 9, 169, 22, 182, 28, 188, 11, 171)(5, 165, 14, 174, 33, 193, 19, 179, 7, 167)(8, 168, 20, 180, 46, 206, 39, 199, 16, 176)(10, 170, 24, 184, 55, 215, 61, 221, 26, 186)(12, 172, 29, 189, 66, 226, 72, 232, 31, 191)(15, 175, 36, 196, 81, 241, 78, 238, 34, 194)(17, 177, 40, 200, 88, 248, 74, 234, 32, 192)(18, 178, 42, 202, 69, 229, 97, 257, 44, 204)(21, 181, 49, 209, 105, 265, 102, 262, 47, 207)(23, 183, 53, 213, 106, 266, 50, 210, 51, 211)(25, 185, 57, 217, 87, 247, 38, 198, 59, 219)(27, 187, 62, 222, 83, 243, 125, 285, 64, 224)(30, 190, 68, 228, 86, 246, 126, 286, 70, 230)(35, 195, 79, 239, 121, 281, 60, 220, 75, 235)(37, 197, 84, 244, 67, 227, 128, 288, 82, 242)(41, 201, 91, 251, 111, 271, 54, 214, 89, 249)(43, 203, 93, 253, 122, 282, 73, 233, 95, 255)(45, 205, 76, 236, 107, 267, 116, 276, 98, 258)(48, 208, 103, 263, 148, 308, 96, 256, 99, 259)(52, 212, 110, 270, 134, 294, 127, 287, 65, 225)(56, 216, 115, 275, 141, 301, 113, 273, 114, 274)(58, 218, 118, 278, 152, 312, 109, 269, 108, 268)(63, 223, 123, 283, 151, 311, 158, 318, 124, 284)(71, 231, 131, 291, 112, 272, 153, 313, 132, 292)(77, 237, 133, 293, 94, 254, 146, 306, 135, 295)(80, 240, 100, 260, 143, 303, 145, 305, 136, 296)(85, 245, 130, 290, 92, 252, 144, 304, 138, 298)(90, 250, 142, 302, 156, 316, 140, 300, 117, 277)(101, 261, 149, 309, 139, 299, 129, 289, 120, 280)(104, 264, 137, 297, 159, 319, 157, 317, 150, 310)(119, 279, 147, 307, 160, 320, 155, 315, 154, 314)(321, 481, 323, 483, 330, 490, 345, 505, 378, 538, 439, 599, 405, 565, 357, 517, 335, 495, 325, 485)(322, 482, 327, 487, 338, 498, 363, 523, 414, 574, 467, 627, 428, 588, 370, 530, 341, 501, 328, 488)(324, 484, 332, 492, 350, 510, 389, 549, 450, 610, 474, 634, 433, 593, 374, 534, 343, 503, 329, 489)(326, 486, 336, 496, 358, 518, 406, 566, 459, 619, 480, 640, 453, 613, 398, 558, 361, 521, 337, 497)(331, 491, 347, 507, 383, 543, 386, 546, 404, 564, 458, 618, 476, 636, 436, 596, 376, 536, 344, 504)(333, 493, 352, 512, 393, 553, 375, 535, 434, 594, 475, 635, 469, 629, 422, 582, 387, 547, 349, 509)(334, 494, 354, 514, 397, 557, 454, 614, 477, 637, 438, 598, 379, 539, 359, 519, 400, 560, 355, 515)(339, 499, 365, 525, 372, 532, 342, 502, 371, 531, 429, 589, 471, 631, 465, 625, 412, 572, 362, 522)(340, 500, 367, 527, 421, 581, 441, 601, 473, 633, 466, 626, 415, 575, 394, 554, 424, 584, 368, 528)(346, 506, 380, 540, 440, 600, 403, 563, 356, 516, 402, 562, 457, 617, 408, 568, 437, 597, 377, 537)(348, 508, 385, 545, 446, 606, 407, 567, 460, 620, 464, 624, 463, 623, 411, 571, 401, 561, 382, 542)(351, 511, 391, 551, 410, 570, 360, 520, 409, 569, 461, 621, 468, 628, 445, 605, 449, 609, 388, 548)(353, 513, 395, 555, 381, 541, 442, 602, 478, 638, 472, 632, 479, 639, 448, 608, 425, 585, 396, 556)(364, 524, 416, 576, 435, 595, 427, 587, 369, 529, 426, 586, 451, 611, 392, 552, 444, 604, 413, 573)(366, 526, 419, 579, 417, 577, 390, 550, 447, 607, 455, 615, 432, 592, 373, 533, 431, 591, 420, 580)(384, 544, 423, 583, 470, 630, 430, 590, 418, 578, 462, 622, 452, 612, 399, 559, 456, 616, 443, 603)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 336)(7, 338)(8, 322)(9, 324)(10, 345)(11, 347)(12, 350)(13, 352)(14, 354)(15, 325)(16, 358)(17, 326)(18, 363)(19, 365)(20, 367)(21, 328)(22, 371)(23, 329)(24, 331)(25, 378)(26, 380)(27, 383)(28, 385)(29, 333)(30, 389)(31, 391)(32, 393)(33, 395)(34, 397)(35, 334)(36, 402)(37, 335)(38, 406)(39, 400)(40, 409)(41, 337)(42, 339)(43, 414)(44, 416)(45, 372)(46, 419)(47, 421)(48, 340)(49, 426)(50, 341)(51, 429)(52, 342)(53, 431)(54, 343)(55, 434)(56, 344)(57, 346)(58, 439)(59, 359)(60, 440)(61, 442)(62, 348)(63, 386)(64, 423)(65, 446)(66, 404)(67, 349)(68, 351)(69, 450)(70, 447)(71, 410)(72, 444)(73, 375)(74, 424)(75, 381)(76, 353)(77, 454)(78, 361)(79, 456)(80, 355)(81, 382)(82, 457)(83, 356)(84, 458)(85, 357)(86, 459)(87, 460)(88, 437)(89, 461)(90, 360)(91, 401)(92, 362)(93, 364)(94, 467)(95, 394)(96, 435)(97, 390)(98, 462)(99, 417)(100, 366)(101, 441)(102, 387)(103, 470)(104, 368)(105, 396)(106, 451)(107, 369)(108, 370)(109, 471)(110, 418)(111, 420)(112, 373)(113, 374)(114, 475)(115, 427)(116, 376)(117, 377)(118, 379)(119, 405)(120, 403)(121, 473)(122, 478)(123, 384)(124, 413)(125, 449)(126, 407)(127, 455)(128, 425)(129, 388)(130, 474)(131, 392)(132, 399)(133, 398)(134, 477)(135, 432)(136, 443)(137, 408)(138, 476)(139, 480)(140, 464)(141, 468)(142, 452)(143, 411)(144, 463)(145, 412)(146, 415)(147, 428)(148, 445)(149, 422)(150, 430)(151, 465)(152, 479)(153, 466)(154, 433)(155, 469)(156, 436)(157, 438)(158, 472)(159, 448)(160, 453)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2082
Graph:: bipartite
	v = 48 e = 320 f = 240
	degree seq :: [ 10^32, 20^16 ]

E17.2082 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^5, Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^3, Y3^-3 * Y2 * Y3^5 * Y2 * Y3^-2, Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-3 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^10 ]
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, 341, 501)(332, 492, 345, 505)(334, 494, 349, 509)(335, 495, 351, 511)(336, 496, 353, 513)(338, 498, 357, 517)(339, 499, 359, 519)(340, 500, 361, 521)(342, 502, 365, 525)(343, 503, 367, 527)(344, 504, 369, 529)(346, 506, 373, 533)(347, 507, 375, 535)(348, 508, 377, 537)(350, 510, 381, 541)(352, 512, 384, 544)(354, 514, 388, 548)(355, 515, 390, 550)(356, 516, 392, 552)(358, 518, 396, 556)(360, 520, 400, 560)(362, 522, 403, 563)(363, 523, 405, 565)(364, 524, 407, 567)(366, 526, 411, 571)(368, 528, 413, 573)(370, 530, 414, 574)(371, 531, 416, 576)(372, 532, 418, 578)(374, 534, 399, 559)(376, 536, 423, 583)(378, 538, 426, 586)(379, 539, 427, 587)(380, 540, 429, 589)(382, 542, 386, 546)(383, 543, 410, 570)(385, 545, 436, 596)(387, 547, 438, 598)(389, 549, 441, 601)(391, 551, 443, 603)(393, 553, 447, 607)(394, 554, 402, 562)(395, 555, 450, 610)(397, 557, 422, 582)(398, 558, 453, 613)(401, 561, 457, 617)(404, 564, 461, 621)(406, 566, 464, 624)(408, 568, 465, 625)(409, 569, 466, 626)(412, 572, 432, 592)(415, 575, 459, 619)(417, 577, 469, 629)(419, 579, 444, 604)(420, 580, 425, 585)(421, 581, 455, 615)(424, 584, 435, 595)(428, 588, 449, 609)(430, 590, 476, 636)(431, 591, 440, 600)(433, 593, 462, 622)(434, 594, 471, 631)(437, 597, 470, 630)(439, 599, 468, 628)(442, 602, 445, 605)(446, 606, 458, 618)(448, 608, 467, 627)(451, 611, 474, 634)(452, 612, 463, 623)(454, 614, 475, 635)(456, 616, 473, 633)(460, 620, 472, 632)(477, 637, 479, 639)(478, 638, 480, 640)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 338)(9, 339)(10, 324)(11, 343)(12, 346)(13, 347)(14, 326)(15, 352)(16, 327)(17, 355)(18, 358)(19, 360)(20, 329)(21, 363)(22, 330)(23, 368)(24, 331)(25, 371)(26, 374)(27, 376)(28, 333)(29, 379)(30, 334)(31, 377)(32, 385)(33, 386)(34, 336)(35, 391)(36, 337)(37, 394)(38, 397)(39, 398)(40, 401)(41, 402)(42, 340)(43, 406)(44, 341)(45, 409)(46, 342)(47, 361)(48, 387)(49, 411)(50, 344)(51, 417)(52, 345)(53, 420)(54, 422)(55, 404)(56, 424)(57, 425)(58, 348)(59, 428)(60, 349)(61, 431)(62, 350)(63, 351)(64, 434)(65, 369)(66, 437)(67, 353)(68, 439)(69, 354)(70, 438)(71, 444)(72, 445)(73, 356)(74, 449)(75, 357)(76, 375)(77, 366)(78, 378)(79, 359)(80, 455)(81, 452)(82, 458)(83, 459)(84, 362)(85, 462)(86, 451)(87, 390)(88, 364)(89, 448)(90, 365)(91, 442)(92, 367)(93, 467)(94, 468)(95, 370)(96, 436)(97, 447)(98, 470)(99, 372)(100, 464)(101, 373)(102, 382)(103, 450)(104, 454)(105, 446)(106, 441)(107, 433)(108, 472)(109, 416)(110, 380)(111, 471)(112, 381)(113, 383)(114, 477)(115, 384)(116, 456)(117, 415)(118, 473)(119, 461)(120, 388)(121, 469)(122, 389)(123, 478)(124, 410)(125, 475)(126, 392)(127, 432)(128, 393)(129, 408)(130, 466)(131, 395)(132, 396)(133, 407)(134, 399)(135, 440)(136, 400)(137, 413)(138, 418)(139, 443)(140, 403)(141, 429)(142, 412)(143, 405)(144, 430)(145, 435)(146, 414)(147, 479)(148, 453)(149, 480)(150, 463)(151, 419)(152, 421)(153, 423)(154, 426)(155, 427)(156, 457)(157, 474)(158, 476)(159, 460)(160, 465)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 10, 20 ), ( 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2081
Graph:: simple bipartite
	v = 240 e = 320 f = 48
	degree seq :: [ 2^160, 4^80 ]

E17.2083 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1 * Y3)^5, Y1^10, Y1 * Y3 * Y1^4 * Y3 * Y1 * Y3 * Y1^-1 * Y3, Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 11, 171, 23, 183, 47, 207, 46, 206, 22, 182, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 31, 191, 63, 223, 92, 252, 77, 237, 38, 198, 18, 178, 8, 168)(6, 166, 13, 173, 27, 187, 55, 215, 69, 229, 91, 251, 113, 273, 62, 222, 30, 190, 14, 174)(9, 169, 19, 179, 39, 199, 78, 238, 93, 253, 48, 208, 72, 232, 84, 244, 42, 202, 20, 180)(12, 172, 25, 185, 51, 211, 97, 257, 90, 250, 45, 205, 89, 249, 103, 263, 54, 214, 26, 186)(16, 176, 33, 193, 67, 227, 60, 220, 29, 189, 59, 219, 109, 269, 123, 283, 70, 230, 34, 194)(17, 177, 35, 195, 71, 231, 124, 284, 137, 297, 81, 241, 40, 200, 80, 240, 73, 233, 36, 196)(21, 181, 43, 203, 85, 245, 96, 256, 50, 210, 24, 184, 49, 209, 94, 254, 88, 248, 44, 204)(28, 188, 57, 217, 107, 267, 101, 261, 53, 213, 100, 260, 150, 310, 128, 288, 108, 268, 58, 218)(32, 192, 65, 225, 116, 276, 102, 262, 132, 292, 76, 236, 131, 291, 153, 313, 119, 279, 66, 226)(37, 197, 74, 234, 127, 287, 157, 317, 115, 275, 64, 224, 114, 274, 142, 302, 130, 290, 75, 235)(41, 201, 82, 242, 138, 298, 118, 278, 154, 314, 144, 304, 86, 246, 143, 303, 121, 281, 68, 228)(52, 212, 99, 259, 149, 309, 125, 285, 95, 255, 146, 306, 122, 282, 155, 315, 136, 296, 87, 247)(56, 216, 105, 265, 152, 312, 147, 307, 126, 286, 112, 272, 156, 316, 160, 320, 145, 305, 106, 266)(61, 221, 110, 270, 141, 301, 129, 289, 117, 277, 104, 264, 135, 295, 79, 239, 134, 294, 111, 271)(83, 243, 139, 299, 98, 258, 148, 308, 158, 318, 133, 293, 120, 280, 151, 311, 159, 319, 140, 300)(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, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 357)(19, 360)(20, 361)(21, 330)(22, 365)(23, 368)(24, 331)(25, 372)(26, 373)(27, 376)(28, 333)(29, 334)(30, 381)(31, 384)(32, 335)(33, 388)(34, 389)(35, 392)(36, 377)(37, 338)(38, 396)(39, 399)(40, 339)(41, 340)(42, 403)(43, 406)(44, 407)(45, 342)(46, 411)(47, 412)(48, 343)(49, 402)(50, 415)(51, 418)(52, 345)(53, 346)(54, 422)(55, 424)(56, 347)(57, 356)(58, 410)(59, 397)(60, 419)(61, 350)(62, 432)(63, 401)(64, 351)(65, 437)(66, 438)(67, 440)(68, 353)(69, 354)(70, 442)(71, 445)(72, 355)(73, 446)(74, 448)(75, 449)(76, 358)(77, 379)(78, 453)(79, 359)(80, 456)(81, 383)(82, 369)(83, 362)(84, 461)(85, 462)(86, 363)(87, 364)(88, 465)(89, 466)(90, 378)(91, 366)(92, 367)(93, 464)(94, 447)(95, 370)(96, 467)(97, 439)(98, 371)(99, 380)(100, 433)(101, 458)(102, 374)(103, 471)(104, 375)(105, 473)(106, 444)(107, 434)(108, 463)(109, 474)(110, 475)(111, 451)(112, 382)(113, 420)(114, 427)(115, 454)(116, 476)(117, 385)(118, 386)(119, 417)(120, 387)(121, 452)(122, 390)(123, 459)(124, 426)(125, 391)(126, 393)(127, 414)(128, 394)(129, 395)(130, 478)(131, 431)(132, 441)(133, 398)(134, 435)(135, 469)(136, 400)(137, 470)(138, 421)(139, 443)(140, 477)(141, 404)(142, 405)(143, 428)(144, 413)(145, 408)(146, 409)(147, 416)(148, 480)(149, 455)(150, 457)(151, 423)(152, 479)(153, 425)(154, 429)(155, 430)(156, 436)(157, 460)(158, 450)(159, 472)(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) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2080
Graph:: simple bipartite
	v = 176 e = 320 f = 112
	degree seq :: [ 2^160, 20^16 ]

E17.2084 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^5, (Y3 * Y2^-1)^5, Y2^10, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^3, (Y2^-2 * R * Y2^-3)^2, Y1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 ]
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, 21, 181)(12, 172, 25, 185)(14, 174, 29, 189)(15, 175, 31, 191)(16, 176, 33, 193)(18, 178, 37, 197)(19, 179, 39, 199)(20, 180, 41, 201)(22, 182, 45, 205)(23, 183, 47, 207)(24, 184, 49, 209)(26, 186, 53, 213)(27, 187, 55, 215)(28, 188, 57, 217)(30, 190, 61, 221)(32, 192, 64, 224)(34, 194, 68, 228)(35, 195, 70, 230)(36, 196, 72, 232)(38, 198, 76, 236)(40, 200, 80, 240)(42, 202, 83, 243)(43, 203, 85, 245)(44, 204, 87, 247)(46, 206, 91, 251)(48, 208, 93, 253)(50, 210, 94, 254)(51, 211, 96, 256)(52, 212, 98, 258)(54, 214, 79, 239)(56, 216, 103, 263)(58, 218, 106, 266)(59, 219, 107, 267)(60, 220, 109, 269)(62, 222, 66, 226)(63, 223, 90, 250)(65, 225, 116, 276)(67, 227, 118, 278)(69, 229, 121, 281)(71, 231, 123, 283)(73, 233, 127, 287)(74, 234, 82, 242)(75, 235, 130, 290)(77, 237, 102, 262)(78, 238, 133, 293)(81, 241, 137, 297)(84, 244, 141, 301)(86, 246, 144, 304)(88, 248, 145, 305)(89, 249, 146, 306)(92, 252, 112, 272)(95, 255, 139, 299)(97, 257, 149, 309)(99, 259, 124, 284)(100, 260, 105, 265)(101, 261, 135, 295)(104, 264, 115, 275)(108, 268, 129, 289)(110, 270, 156, 316)(111, 271, 120, 280)(113, 273, 142, 302)(114, 274, 151, 311)(117, 277, 150, 310)(119, 279, 148, 308)(122, 282, 125, 285)(126, 286, 138, 298)(128, 288, 147, 307)(131, 291, 154, 314)(132, 292, 143, 303)(134, 294, 155, 315)(136, 296, 153, 313)(140, 300, 152, 312)(157, 317, 159, 319)(158, 318, 160, 320)(321, 481, 323, 483, 328, 488, 338, 498, 358, 518, 397, 557, 366, 526, 342, 502, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 346, 506, 374, 534, 422, 582, 382, 542, 350, 510, 334, 494, 326, 486)(327, 487, 335, 495, 352, 512, 385, 545, 369, 529, 411, 571, 442, 602, 389, 549, 354, 514, 336, 496)(329, 489, 339, 499, 360, 520, 401, 561, 452, 612, 396, 556, 375, 535, 404, 564, 362, 522, 340, 500)(331, 491, 343, 503, 368, 528, 387, 547, 353, 513, 386, 546, 437, 597, 415, 575, 370, 530, 344, 504)(333, 493, 347, 507, 376, 536, 424, 584, 454, 614, 399, 559, 359, 519, 398, 558, 378, 538, 348, 508)(337, 497, 355, 515, 391, 551, 444, 604, 410, 570, 365, 525, 409, 569, 448, 608, 393, 553, 356, 516)(341, 501, 363, 523, 406, 566, 451, 611, 395, 555, 357, 517, 394, 554, 449, 609, 408, 568, 364, 524)(345, 505, 371, 531, 417, 577, 447, 607, 432, 592, 381, 541, 431, 591, 471, 631, 419, 579, 372, 532)(349, 509, 379, 539, 428, 588, 472, 632, 421, 581, 373, 533, 420, 580, 464, 624, 430, 590, 380, 540)(351, 511, 377, 537, 425, 585, 446, 606, 392, 552, 445, 605, 475, 635, 427, 587, 433, 593, 383, 543)(361, 521, 402, 562, 458, 618, 418, 578, 470, 630, 463, 623, 405, 565, 462, 622, 412, 572, 367, 527)(384, 544, 434, 594, 477, 637, 474, 634, 426, 586, 441, 601, 469, 629, 480, 640, 465, 625, 435, 595)(388, 548, 439, 599, 461, 621, 429, 589, 416, 576, 436, 596, 456, 616, 400, 560, 455, 615, 440, 600)(390, 550, 438, 598, 473, 633, 423, 583, 450, 610, 466, 626, 414, 574, 468, 628, 453, 613, 407, 567)(403, 563, 459, 619, 443, 603, 478, 638, 476, 636, 457, 617, 413, 573, 467, 627, 479, 639, 460, 620)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 341)(11, 325)(12, 345)(13, 326)(14, 349)(15, 351)(16, 353)(17, 328)(18, 357)(19, 359)(20, 361)(21, 330)(22, 365)(23, 367)(24, 369)(25, 332)(26, 373)(27, 375)(28, 377)(29, 334)(30, 381)(31, 335)(32, 384)(33, 336)(34, 388)(35, 390)(36, 392)(37, 338)(38, 396)(39, 339)(40, 400)(41, 340)(42, 403)(43, 405)(44, 407)(45, 342)(46, 411)(47, 343)(48, 413)(49, 344)(50, 414)(51, 416)(52, 418)(53, 346)(54, 399)(55, 347)(56, 423)(57, 348)(58, 426)(59, 427)(60, 429)(61, 350)(62, 386)(63, 410)(64, 352)(65, 436)(66, 382)(67, 438)(68, 354)(69, 441)(70, 355)(71, 443)(72, 356)(73, 447)(74, 402)(75, 450)(76, 358)(77, 422)(78, 453)(79, 374)(80, 360)(81, 457)(82, 394)(83, 362)(84, 461)(85, 363)(86, 464)(87, 364)(88, 465)(89, 466)(90, 383)(91, 366)(92, 432)(93, 368)(94, 370)(95, 459)(96, 371)(97, 469)(98, 372)(99, 444)(100, 425)(101, 455)(102, 397)(103, 376)(104, 435)(105, 420)(106, 378)(107, 379)(108, 449)(109, 380)(110, 476)(111, 440)(112, 412)(113, 462)(114, 471)(115, 424)(116, 385)(117, 470)(118, 387)(119, 468)(120, 431)(121, 389)(122, 445)(123, 391)(124, 419)(125, 442)(126, 458)(127, 393)(128, 467)(129, 428)(130, 395)(131, 474)(132, 463)(133, 398)(134, 475)(135, 421)(136, 473)(137, 401)(138, 446)(139, 415)(140, 472)(141, 404)(142, 433)(143, 452)(144, 406)(145, 408)(146, 409)(147, 448)(148, 439)(149, 417)(150, 437)(151, 434)(152, 460)(153, 456)(154, 451)(155, 454)(156, 430)(157, 479)(158, 480)(159, 477)(160, 478)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2085
Graph:: bipartite
	v = 96 e = 320 f = 192
	degree seq :: [ 4^80, 20^16 ]

E17.2085 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = ((C2 x Q8) : C2) : C5 (small group id <160, 199>)
Aut   = (((C2 x Q8) : C2) : C5) : C2 (small group id <320, 1582>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^3 * Y1^-1, (Y3 * Y1^-1)^5, Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 161, 2, 162, 6, 166, 13, 173, 4, 164)(3, 163, 9, 169, 22, 182, 28, 188, 11, 171)(5, 165, 14, 174, 33, 193, 19, 179, 7, 167)(8, 168, 20, 180, 46, 206, 39, 199, 16, 176)(10, 170, 24, 184, 55, 215, 61, 221, 26, 186)(12, 172, 29, 189, 66, 226, 72, 232, 31, 191)(15, 175, 36, 196, 81, 241, 78, 238, 34, 194)(17, 177, 40, 200, 88, 248, 74, 234, 32, 192)(18, 178, 42, 202, 69, 229, 97, 257, 44, 204)(21, 181, 49, 209, 105, 265, 102, 262, 47, 207)(23, 183, 53, 213, 106, 266, 50, 210, 51, 211)(25, 185, 57, 217, 87, 247, 38, 198, 59, 219)(27, 187, 62, 222, 83, 243, 125, 285, 64, 224)(30, 190, 68, 228, 86, 246, 126, 286, 70, 230)(35, 195, 79, 239, 121, 281, 60, 220, 75, 235)(37, 197, 84, 244, 67, 227, 128, 288, 82, 242)(41, 201, 91, 251, 111, 271, 54, 214, 89, 249)(43, 203, 93, 253, 122, 282, 73, 233, 95, 255)(45, 205, 76, 236, 107, 267, 116, 276, 98, 258)(48, 208, 103, 263, 148, 308, 96, 256, 99, 259)(52, 212, 110, 270, 134, 294, 127, 287, 65, 225)(56, 216, 115, 275, 141, 301, 113, 273, 114, 274)(58, 218, 118, 278, 152, 312, 109, 269, 108, 268)(63, 223, 123, 283, 151, 311, 158, 318, 124, 284)(71, 231, 131, 291, 112, 272, 153, 313, 132, 292)(77, 237, 133, 293, 94, 254, 146, 306, 135, 295)(80, 240, 100, 260, 143, 303, 145, 305, 136, 296)(85, 245, 130, 290, 92, 252, 144, 304, 138, 298)(90, 250, 142, 302, 156, 316, 140, 300, 117, 277)(101, 261, 149, 309, 139, 299, 129, 289, 120, 280)(104, 264, 137, 297, 159, 319, 157, 317, 150, 310)(119, 279, 147, 307, 160, 320, 155, 315, 154, 314)(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, 336)(7, 338)(8, 322)(9, 324)(10, 345)(11, 347)(12, 350)(13, 352)(14, 354)(15, 325)(16, 358)(17, 326)(18, 363)(19, 365)(20, 367)(21, 328)(22, 371)(23, 329)(24, 331)(25, 378)(26, 380)(27, 383)(28, 385)(29, 333)(30, 389)(31, 391)(32, 393)(33, 395)(34, 397)(35, 334)(36, 402)(37, 335)(38, 406)(39, 400)(40, 409)(41, 337)(42, 339)(43, 414)(44, 416)(45, 372)(46, 419)(47, 421)(48, 340)(49, 426)(50, 341)(51, 429)(52, 342)(53, 431)(54, 343)(55, 434)(56, 344)(57, 346)(58, 439)(59, 359)(60, 440)(61, 442)(62, 348)(63, 386)(64, 423)(65, 446)(66, 404)(67, 349)(68, 351)(69, 450)(70, 447)(71, 410)(72, 444)(73, 375)(74, 424)(75, 381)(76, 353)(77, 454)(78, 361)(79, 456)(80, 355)(81, 382)(82, 457)(83, 356)(84, 458)(85, 357)(86, 459)(87, 460)(88, 437)(89, 461)(90, 360)(91, 401)(92, 362)(93, 364)(94, 467)(95, 394)(96, 435)(97, 390)(98, 462)(99, 417)(100, 366)(101, 441)(102, 387)(103, 470)(104, 368)(105, 396)(106, 451)(107, 369)(108, 370)(109, 471)(110, 418)(111, 420)(112, 373)(113, 374)(114, 475)(115, 427)(116, 376)(117, 377)(118, 379)(119, 405)(120, 403)(121, 473)(122, 478)(123, 384)(124, 413)(125, 449)(126, 407)(127, 455)(128, 425)(129, 388)(130, 474)(131, 392)(132, 399)(133, 398)(134, 477)(135, 432)(136, 443)(137, 408)(138, 476)(139, 480)(140, 464)(141, 468)(142, 452)(143, 411)(144, 463)(145, 412)(146, 415)(147, 428)(148, 445)(149, 422)(150, 430)(151, 465)(152, 479)(153, 466)(154, 433)(155, 469)(156, 436)(157, 438)(158, 472)(159, 448)(160, 453)(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, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2084
Graph:: simple bipartite
	v = 192 e = 320 f = 96
	degree seq :: [ 2^160, 10^32 ]

E17.2086 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 10})
Quotient :: regular
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^2, T1^10, (T1 * T2)^5, (T1^4 * T2 * T1)^2, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 44, 22, 10, 4)(3, 7, 15, 31, 59, 82, 70, 37, 18, 8)(6, 13, 27, 53, 95, 81, 104, 58, 30, 14)(9, 19, 38, 71, 84, 46, 83, 75, 40, 20)(12, 25, 49, 89, 80, 43, 79, 94, 52, 26)(16, 33, 63, 110, 141, 120, 146, 100, 56, 29)(17, 34, 65, 112, 151, 105, 128, 114, 66, 35)(21, 41, 76, 88, 48, 24, 47, 85, 78, 42)(28, 55, 99, 145, 127, 150, 159, 138, 92, 51)(32, 61, 108, 134, 119, 69, 118, 139, 93, 62)(36, 67, 115, 152, 107, 60, 106, 130, 117, 68)(39, 73, 122, 155, 156, 129, 86, 131, 109, 64)(50, 91, 137, 113, 77, 125, 153, 157, 132, 87)(54, 97, 144, 126, 149, 103, 148, 158, 133, 98)(57, 101, 72, 116, 143, 96, 142, 124, 147, 102)(74, 111, 140, 160, 154, 121, 136, 90, 135, 123)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(33, 64)(35, 55)(37, 69)(38, 72)(40, 74)(41, 73)(42, 77)(44, 81)(45, 82)(47, 86)(48, 87)(49, 90)(52, 93)(53, 96)(56, 91)(58, 103)(59, 105)(61, 102)(62, 109)(63, 111)(65, 113)(66, 98)(67, 99)(68, 116)(70, 120)(71, 121)(75, 124)(76, 115)(78, 126)(79, 125)(80, 127)(83, 128)(84, 129)(85, 130)(88, 133)(89, 134)(92, 131)(94, 140)(95, 141)(97, 139)(100, 136)(101, 137)(104, 150)(106, 138)(107, 147)(108, 148)(110, 153)(112, 149)(114, 132)(117, 154)(118, 143)(119, 155)(122, 145)(123, 152)(135, 158)(142, 157)(144, 160)(146, 156)(151, 159)
	local type(s) :: { ( 5^10 ) }
Outer automorphisms :: reflexible
Dual of E17.2087
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 16 e = 80 f = 32
	degree seq :: [ 10^16 ]

E17.2087 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 10})
Quotient :: regular
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
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 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^-2)^2, (T1^-1 * T2)^10 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 32, 34, 19)(11, 21, 37, 40, 22)(15, 28, 47, 43, 25)(16, 29, 49, 51, 30)(20, 35, 58, 60, 36)(24, 42, 67, 63, 39)(27, 45, 72, 64, 46)(31, 52, 81, 83, 53)(33, 55, 85, 87, 56)(38, 62, 93, 90, 59)(41, 65, 96, 91, 66)(44, 70, 54, 84, 71)(48, 76, 108, 95, 74)(50, 78, 111, 113, 79)(57, 88, 61, 92, 89)(68, 100, 131, 123, 98)(69, 101, 77, 110, 102)(73, 105, 125, 116, 82)(75, 106, 127, 117, 107)(80, 114, 104, 124, 115)(86, 119, 94, 126, 120)(97, 128, 121, 134, 103)(99, 129, 122, 118, 130)(109, 139, 151, 145, 137)(112, 141, 135, 147, 142)(132, 152, 146, 154, 150)(133, 136, 148, 143, 153)(138, 149, 144, 140, 155)(156, 158, 157, 159, 160)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 31)(18, 29)(19, 33)(21, 38)(22, 39)(23, 41)(26, 44)(28, 48)(30, 50)(32, 54)(34, 57)(35, 55)(36, 59)(37, 61)(40, 64)(42, 68)(43, 69)(45, 73)(46, 74)(47, 75)(49, 77)(51, 80)(52, 78)(53, 82)(56, 86)(58, 81)(60, 91)(62, 94)(63, 95)(65, 97)(66, 98)(67, 99)(70, 101)(71, 103)(72, 104)(76, 109)(79, 112)(83, 117)(84, 118)(85, 111)(87, 121)(88, 119)(89, 122)(90, 123)(92, 124)(93, 125)(96, 127)(100, 132)(102, 133)(105, 135)(106, 136)(107, 137)(108, 138)(110, 140)(113, 143)(114, 141)(115, 144)(116, 145)(120, 146)(126, 147)(128, 148)(129, 149)(130, 150)(131, 151)(134, 154)(139, 156)(142, 157)(152, 158)(153, 159)(155, 160)
	local type(s) :: { ( 10^5 ) }
Outer automorphisms :: reflexible
Dual of E17.2086
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 80 f = 16
	degree seq :: [ 5^32 ]

E17.2088 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2 * T1 * T2^-1)^2, (T1 * T2^2 * T1 * T2^-2)^2, (T2^-1 * T1)^10 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 29, 16)(9, 18, 32, 34, 19)(11, 21, 38, 39, 22)(13, 24, 42, 44, 25)(17, 30, 52, 53, 31)(20, 35, 58, 60, 36)(23, 40, 66, 67, 41)(26, 45, 72, 74, 46)(27, 47, 76, 77, 48)(33, 55, 85, 87, 56)(37, 61, 93, 94, 62)(43, 69, 102, 104, 70)(49, 78, 113, 91, 79)(50, 80, 54, 84, 81)(51, 82, 116, 90, 59)(57, 88, 83, 117, 89)(63, 95, 128, 108, 96)(64, 97, 68, 101, 98)(65, 99, 131, 107, 73)(71, 105, 100, 132, 106)(75, 109, 140, 123, 110)(86, 119, 115, 145, 120)(92, 124, 148, 138, 125)(103, 134, 130, 153, 135)(111, 141, 122, 118, 142)(112, 143, 121, 144, 114)(126, 149, 137, 133, 150)(127, 151, 136, 152, 129)(139, 155, 146, 157, 156)(147, 158, 154, 160, 159)(161, 162)(163, 167)(164, 169)(165, 171)(166, 173)(168, 177)(170, 180)(172, 183)(174, 186)(175, 187)(176, 182)(178, 184)(179, 193)(181, 197)(185, 203)(188, 209)(189, 210)(190, 211)(191, 208)(192, 214)(194, 217)(195, 215)(196, 219)(198, 223)(199, 224)(200, 225)(201, 222)(202, 228)(204, 231)(205, 229)(206, 233)(207, 235)(212, 243)(213, 227)(216, 246)(218, 232)(220, 251)(221, 252)(226, 260)(230, 263)(234, 268)(236, 271)(237, 254)(238, 272)(239, 270)(240, 257)(241, 274)(242, 275)(244, 278)(245, 262)(247, 281)(248, 279)(249, 282)(250, 283)(253, 286)(255, 287)(256, 285)(258, 289)(259, 290)(261, 293)(264, 296)(265, 294)(266, 297)(267, 298)(269, 299)(273, 288)(276, 291)(277, 292)(280, 306)(284, 307)(295, 314)(300, 308)(301, 309)(302, 316)(303, 311)(304, 317)(305, 313)(310, 319)(312, 320)(315, 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) :: { ( 20, 20 ), ( 20^5 ) }
Outer automorphisms :: reflexible
Dual of E17.2092
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 160 f = 16
	degree seq :: [ 2^80, 5^32 ]

E17.2089 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2^-1, (T1^-1, T2)^2, (T2 * T1^-1 * T2 * T1^-2)^2, T2^10, (T2^4 * T1^-1)^2, (T2 * T1^-1 * T2^2 * T1^-1)^2, (T2^3 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 25, 57, 113, 80, 37, 15, 5)(2, 7, 18, 43, 88, 141, 101, 50, 21, 8)(4, 12, 30, 66, 123, 154, 107, 53, 23, 9)(6, 16, 38, 81, 135, 159, 139, 86, 41, 17)(11, 27, 62, 119, 79, 134, 156, 109, 55, 24)(13, 32, 70, 128, 153, 160, 155, 108, 54, 29)(14, 34, 39, 82, 136, 112, 58, 114, 75, 35)(19, 45, 91, 144, 100, 148, 103, 51, 22, 42)(20, 47, 71, 129, 149, 140, 89, 142, 96, 48)(26, 59, 116, 78, 36, 77, 131, 83, 111, 56)(28, 64, 121, 76, 133, 158, 138, 85, 110, 61)(31, 68, 126, 152, 106, 151, 137, 84, 40, 65)(33, 72, 130, 97, 147, 157, 115, 60, 117, 73)(44, 90, 143, 99, 49, 98, 125, 69, 127, 87)(46, 93, 122, 67, 124, 150, 105, 52, 104, 94)(63, 120, 74, 132, 92, 145, 95, 146, 102, 118)(161, 162, 166, 173, 164)(163, 169, 182, 188, 171)(165, 174, 193, 179, 167)(168, 180, 206, 199, 176)(170, 184, 214, 220, 186)(172, 189, 215, 229, 191)(175, 196, 236, 198, 194)(177, 200, 243, 231, 192)(178, 202, 183, 212, 204)(181, 209, 257, 230, 207)(185, 216, 270, 246, 218)(187, 221, 271, 244, 223)(190, 225, 201, 245, 227)(195, 234, 289, 291, 232)(197, 239, 288, 290, 237)(203, 247, 277, 268, 249)(205, 233, 287, 269, 252)(208, 255, 228, 285, 253)(210, 260, 226, 282, 258)(211, 262, 242, 254, 224)(213, 266, 241, 281, 264)(217, 272, 317, 308, 261)(219, 275, 296, 306, 256)(222, 278, 263, 307, 259)(235, 284, 298, 251, 292)(238, 286, 305, 316, 293)(240, 283, 304, 318, 294)(248, 300, 310, 274, 299)(250, 265, 309, 280, 297)(267, 313, 279, 303, 311)(273, 301, 319, 320, 314)(276, 302, 315, 295, 312)
	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) :: { ( 4^5 ), ( 4^10 ) }
Outer automorphisms :: reflexible
Dual of E17.2093
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 5^32, 10^16 ]

E17.2090 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 10})
Quotient :: edge
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1^-1 * T2)^2, T1^10, (T1 * T2)^5, (T1^4 * T2 * T1)^2, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 34)(20, 39)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(33, 64)(35, 55)(37, 69)(38, 72)(40, 74)(41, 73)(42, 77)(44, 81)(45, 82)(47, 86)(48, 87)(49, 90)(52, 93)(53, 96)(56, 91)(58, 103)(59, 105)(61, 102)(62, 109)(63, 111)(65, 113)(66, 98)(67, 99)(68, 116)(70, 120)(71, 121)(75, 124)(76, 115)(78, 126)(79, 125)(80, 127)(83, 128)(84, 129)(85, 130)(88, 133)(89, 134)(92, 131)(94, 140)(95, 141)(97, 139)(100, 136)(101, 137)(104, 150)(106, 138)(107, 147)(108, 148)(110, 153)(112, 149)(114, 132)(117, 154)(118, 143)(119, 155)(122, 145)(123, 152)(135, 158)(142, 157)(144, 160)(146, 156)(151, 159)(161, 162, 165, 171, 183, 205, 204, 182, 170, 164)(163, 167, 175, 191, 219, 242, 230, 197, 178, 168)(166, 173, 187, 213, 255, 241, 264, 218, 190, 174)(169, 179, 198, 231, 244, 206, 243, 235, 200, 180)(172, 185, 209, 249, 240, 203, 239, 254, 212, 186)(176, 193, 223, 270, 301, 280, 306, 260, 216, 189)(177, 194, 225, 272, 311, 265, 288, 274, 226, 195)(181, 201, 236, 248, 208, 184, 207, 245, 238, 202)(188, 215, 259, 305, 287, 310, 319, 298, 252, 211)(192, 221, 268, 294, 279, 229, 278, 299, 253, 222)(196, 227, 275, 312, 267, 220, 266, 290, 277, 228)(199, 233, 282, 315, 316, 289, 246, 291, 269, 224)(210, 251, 297, 273, 237, 285, 313, 317, 292, 247)(214, 257, 304, 286, 309, 263, 308, 318, 293, 258)(217, 261, 232, 276, 303, 256, 302, 284, 307, 262)(234, 271, 300, 320, 314, 281, 296, 250, 295, 283)
	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 ), ( 10^10 ) }
Outer automorphisms :: reflexible
Dual of E17.2091
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 160 f = 32
	degree seq :: [ 2^80, 10^16 ]

E17.2091 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T1 * T2 * T1 * T2^-1)^2, (T1 * T2^2 * T1 * T2^-2)^2, (T2^-1 * T1)^10 ]
Map::
	R = (1, 161, 3, 163, 8, 168, 10, 170, 4, 164)(2, 162, 5, 165, 12, 172, 14, 174, 6, 166)(7, 167, 15, 175, 28, 188, 29, 189, 16, 176)(9, 169, 18, 178, 32, 192, 34, 194, 19, 179)(11, 171, 21, 181, 38, 198, 39, 199, 22, 182)(13, 173, 24, 184, 42, 202, 44, 204, 25, 185)(17, 177, 30, 190, 52, 212, 53, 213, 31, 191)(20, 180, 35, 195, 58, 218, 60, 220, 36, 196)(23, 183, 40, 200, 66, 226, 67, 227, 41, 201)(26, 186, 45, 205, 72, 232, 74, 234, 46, 206)(27, 187, 47, 207, 76, 236, 77, 237, 48, 208)(33, 193, 55, 215, 85, 245, 87, 247, 56, 216)(37, 197, 61, 221, 93, 253, 94, 254, 62, 222)(43, 203, 69, 229, 102, 262, 104, 264, 70, 230)(49, 209, 78, 238, 113, 273, 91, 251, 79, 239)(50, 210, 80, 240, 54, 214, 84, 244, 81, 241)(51, 211, 82, 242, 116, 276, 90, 250, 59, 219)(57, 217, 88, 248, 83, 243, 117, 277, 89, 249)(63, 223, 95, 255, 128, 288, 108, 268, 96, 256)(64, 224, 97, 257, 68, 228, 101, 261, 98, 258)(65, 225, 99, 259, 131, 291, 107, 267, 73, 233)(71, 231, 105, 265, 100, 260, 132, 292, 106, 266)(75, 235, 109, 269, 140, 300, 123, 283, 110, 270)(86, 246, 119, 279, 115, 275, 145, 305, 120, 280)(92, 252, 124, 284, 148, 308, 138, 298, 125, 285)(103, 263, 134, 294, 130, 290, 153, 313, 135, 295)(111, 271, 141, 301, 122, 282, 118, 278, 142, 302)(112, 272, 143, 303, 121, 281, 144, 304, 114, 274)(126, 286, 149, 309, 137, 297, 133, 293, 150, 310)(127, 287, 151, 311, 136, 296, 152, 312, 129, 289)(139, 299, 155, 315, 146, 306, 157, 317, 156, 316)(147, 307, 158, 318, 154, 314, 160, 320, 159, 319)
	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, 209)(29, 210)(30, 211)(31, 208)(32, 214)(33, 179)(34, 217)(35, 215)(36, 219)(37, 181)(38, 223)(39, 224)(40, 225)(41, 222)(42, 228)(43, 185)(44, 231)(45, 229)(46, 233)(47, 235)(48, 191)(49, 188)(50, 189)(51, 190)(52, 243)(53, 227)(54, 192)(55, 195)(56, 246)(57, 194)(58, 232)(59, 196)(60, 251)(61, 252)(62, 201)(63, 198)(64, 199)(65, 200)(66, 260)(67, 213)(68, 202)(69, 205)(70, 263)(71, 204)(72, 218)(73, 206)(74, 268)(75, 207)(76, 271)(77, 254)(78, 272)(79, 270)(80, 257)(81, 274)(82, 275)(83, 212)(84, 278)(85, 262)(86, 216)(87, 281)(88, 279)(89, 282)(90, 283)(91, 220)(92, 221)(93, 286)(94, 237)(95, 287)(96, 285)(97, 240)(98, 289)(99, 290)(100, 226)(101, 293)(102, 245)(103, 230)(104, 296)(105, 294)(106, 297)(107, 298)(108, 234)(109, 299)(110, 239)(111, 236)(112, 238)(113, 288)(114, 241)(115, 242)(116, 291)(117, 292)(118, 244)(119, 248)(120, 306)(121, 247)(122, 249)(123, 250)(124, 307)(125, 256)(126, 253)(127, 255)(128, 273)(129, 258)(130, 259)(131, 276)(132, 277)(133, 261)(134, 265)(135, 314)(136, 264)(137, 266)(138, 267)(139, 269)(140, 308)(141, 309)(142, 316)(143, 311)(144, 317)(145, 313)(146, 280)(147, 284)(148, 300)(149, 301)(150, 319)(151, 303)(152, 320)(153, 305)(154, 295)(155, 318)(156, 302)(157, 304)(158, 315)(159, 310)(160, 312)
	local type(s) :: { ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2090
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 160 f = 96
	degree seq :: [ 10^32 ]

E17.2092 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T2)^2, (F * T1)^2, T1^5, T2^-1 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2^-1, (T1^-1, T2)^2, (T2 * T1^-1 * T2 * T1^-2)^2, T2^10, (T2^4 * T1^-1)^2, (T2 * T1^-1 * T2^2 * T1^-1)^2, (T2^3 * T1^-2)^2 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 25, 185, 57, 217, 113, 273, 80, 240, 37, 197, 15, 175, 5, 165)(2, 162, 7, 167, 18, 178, 43, 203, 88, 248, 141, 301, 101, 261, 50, 210, 21, 181, 8, 168)(4, 164, 12, 172, 30, 190, 66, 226, 123, 283, 154, 314, 107, 267, 53, 213, 23, 183, 9, 169)(6, 166, 16, 176, 38, 198, 81, 241, 135, 295, 159, 319, 139, 299, 86, 246, 41, 201, 17, 177)(11, 171, 27, 187, 62, 222, 119, 279, 79, 239, 134, 294, 156, 316, 109, 269, 55, 215, 24, 184)(13, 173, 32, 192, 70, 230, 128, 288, 153, 313, 160, 320, 155, 315, 108, 268, 54, 214, 29, 189)(14, 174, 34, 194, 39, 199, 82, 242, 136, 296, 112, 272, 58, 218, 114, 274, 75, 235, 35, 195)(19, 179, 45, 205, 91, 251, 144, 304, 100, 260, 148, 308, 103, 263, 51, 211, 22, 182, 42, 202)(20, 180, 47, 207, 71, 231, 129, 289, 149, 309, 140, 300, 89, 249, 142, 302, 96, 256, 48, 208)(26, 186, 59, 219, 116, 276, 78, 238, 36, 196, 77, 237, 131, 291, 83, 243, 111, 271, 56, 216)(28, 188, 64, 224, 121, 281, 76, 236, 133, 293, 158, 318, 138, 298, 85, 245, 110, 270, 61, 221)(31, 191, 68, 228, 126, 286, 152, 312, 106, 266, 151, 311, 137, 297, 84, 244, 40, 200, 65, 225)(33, 193, 72, 232, 130, 290, 97, 257, 147, 307, 157, 317, 115, 275, 60, 220, 117, 277, 73, 233)(44, 204, 90, 250, 143, 303, 99, 259, 49, 209, 98, 258, 125, 285, 69, 229, 127, 287, 87, 247)(46, 206, 93, 253, 122, 282, 67, 227, 124, 284, 150, 310, 105, 265, 52, 212, 104, 264, 94, 254)(63, 223, 120, 280, 74, 234, 132, 292, 92, 252, 145, 305, 95, 255, 146, 306, 102, 262, 118, 278)
	L = (1, 162)(2, 166)(3, 169)(4, 161)(5, 174)(6, 173)(7, 165)(8, 180)(9, 182)(10, 184)(11, 163)(12, 189)(13, 164)(14, 193)(15, 196)(16, 168)(17, 200)(18, 202)(19, 167)(20, 206)(21, 209)(22, 188)(23, 212)(24, 214)(25, 216)(26, 170)(27, 221)(28, 171)(29, 215)(30, 225)(31, 172)(32, 177)(33, 179)(34, 175)(35, 234)(36, 236)(37, 239)(38, 194)(39, 176)(40, 243)(41, 245)(42, 183)(43, 247)(44, 178)(45, 233)(46, 199)(47, 181)(48, 255)(49, 257)(50, 260)(51, 262)(52, 204)(53, 266)(54, 220)(55, 229)(56, 270)(57, 272)(58, 185)(59, 275)(60, 186)(61, 271)(62, 278)(63, 187)(64, 211)(65, 201)(66, 282)(67, 190)(68, 285)(69, 191)(70, 207)(71, 192)(72, 195)(73, 287)(74, 289)(75, 284)(76, 198)(77, 197)(78, 286)(79, 288)(80, 283)(81, 281)(82, 254)(83, 231)(84, 223)(85, 227)(86, 218)(87, 277)(88, 300)(89, 203)(90, 265)(91, 292)(92, 205)(93, 208)(94, 224)(95, 228)(96, 219)(97, 230)(98, 210)(99, 222)(100, 226)(101, 217)(102, 242)(103, 307)(104, 213)(105, 309)(106, 241)(107, 313)(108, 249)(109, 252)(110, 246)(111, 244)(112, 317)(113, 301)(114, 299)(115, 296)(116, 302)(117, 268)(118, 263)(119, 303)(120, 297)(121, 264)(122, 258)(123, 304)(124, 298)(125, 253)(126, 305)(127, 269)(128, 290)(129, 291)(130, 237)(131, 232)(132, 235)(133, 238)(134, 240)(135, 312)(136, 306)(137, 250)(138, 251)(139, 248)(140, 310)(141, 319)(142, 315)(143, 311)(144, 318)(145, 316)(146, 256)(147, 259)(148, 261)(149, 280)(150, 274)(151, 267)(152, 276)(153, 279)(154, 273)(155, 295)(156, 293)(157, 308)(158, 294)(159, 320)(160, 314)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E17.2088
Transitivity :: ET+ VT+ AT
Graph::
	v = 16 e = 160 f = 112
	degree seq :: [ 20^16 ]

E17.2093 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 10})
Quotient :: loop
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1 * T2 * T1^-1 * T2)^2, T1^10, (T1 * T2)^5, (T1^4 * T2 * T1)^2, (T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 12, 172)(7, 167, 16, 176)(8, 168, 17, 177)(10, 170, 21, 181)(11, 171, 24, 184)(13, 173, 28, 188)(14, 174, 29, 189)(15, 175, 32, 192)(18, 178, 36, 196)(19, 179, 34, 194)(20, 180, 39, 199)(22, 182, 43, 203)(23, 183, 46, 206)(25, 185, 50, 210)(26, 186, 51, 211)(27, 187, 54, 214)(30, 190, 57, 217)(31, 191, 60, 220)(33, 193, 64, 224)(35, 195, 55, 215)(37, 197, 69, 229)(38, 198, 72, 232)(40, 200, 74, 234)(41, 201, 73, 233)(42, 202, 77, 237)(44, 204, 81, 241)(45, 205, 82, 242)(47, 207, 86, 246)(48, 208, 87, 247)(49, 209, 90, 250)(52, 212, 93, 253)(53, 213, 96, 256)(56, 216, 91, 251)(58, 218, 103, 263)(59, 219, 105, 265)(61, 221, 102, 262)(62, 222, 109, 269)(63, 223, 111, 271)(65, 225, 113, 273)(66, 226, 98, 258)(67, 227, 99, 259)(68, 228, 116, 276)(70, 230, 120, 280)(71, 231, 121, 281)(75, 235, 124, 284)(76, 236, 115, 275)(78, 238, 126, 286)(79, 239, 125, 285)(80, 240, 127, 287)(83, 243, 128, 288)(84, 244, 129, 289)(85, 245, 130, 290)(88, 248, 133, 293)(89, 249, 134, 294)(92, 252, 131, 291)(94, 254, 140, 300)(95, 255, 141, 301)(97, 257, 139, 299)(100, 260, 136, 296)(101, 261, 137, 297)(104, 264, 150, 310)(106, 266, 138, 298)(107, 267, 147, 307)(108, 268, 148, 308)(110, 270, 153, 313)(112, 272, 149, 309)(114, 274, 132, 292)(117, 277, 154, 314)(118, 278, 143, 303)(119, 279, 155, 315)(122, 282, 145, 305)(123, 283, 152, 312)(135, 295, 158, 318)(142, 302, 157, 317)(144, 304, 160, 320)(146, 306, 156, 316)(151, 311, 159, 319)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 171)(6, 173)(7, 175)(8, 163)(9, 179)(10, 164)(11, 183)(12, 185)(13, 187)(14, 166)(15, 191)(16, 193)(17, 194)(18, 168)(19, 198)(20, 169)(21, 201)(22, 170)(23, 205)(24, 207)(25, 209)(26, 172)(27, 213)(28, 215)(29, 176)(30, 174)(31, 219)(32, 221)(33, 223)(34, 225)(35, 177)(36, 227)(37, 178)(38, 231)(39, 233)(40, 180)(41, 236)(42, 181)(43, 239)(44, 182)(45, 204)(46, 243)(47, 245)(48, 184)(49, 249)(50, 251)(51, 188)(52, 186)(53, 255)(54, 257)(55, 259)(56, 189)(57, 261)(58, 190)(59, 242)(60, 266)(61, 268)(62, 192)(63, 270)(64, 199)(65, 272)(66, 195)(67, 275)(68, 196)(69, 278)(70, 197)(71, 244)(72, 276)(73, 282)(74, 271)(75, 200)(76, 248)(77, 285)(78, 202)(79, 254)(80, 203)(81, 264)(82, 230)(83, 235)(84, 206)(85, 238)(86, 291)(87, 210)(88, 208)(89, 240)(90, 295)(91, 297)(92, 211)(93, 222)(94, 212)(95, 241)(96, 302)(97, 304)(98, 214)(99, 305)(100, 216)(101, 232)(102, 217)(103, 308)(104, 218)(105, 288)(106, 290)(107, 220)(108, 294)(109, 224)(110, 301)(111, 300)(112, 311)(113, 237)(114, 226)(115, 312)(116, 303)(117, 228)(118, 299)(119, 229)(120, 306)(121, 296)(122, 315)(123, 234)(124, 307)(125, 313)(126, 309)(127, 310)(128, 274)(129, 246)(130, 277)(131, 269)(132, 247)(133, 258)(134, 279)(135, 283)(136, 250)(137, 273)(138, 252)(139, 253)(140, 320)(141, 280)(142, 284)(143, 256)(144, 286)(145, 287)(146, 260)(147, 262)(148, 318)(149, 263)(150, 319)(151, 265)(152, 267)(153, 317)(154, 281)(155, 316)(156, 289)(157, 292)(158, 293)(159, 298)(160, 314)
	local type(s) :: { ( 5, 10, 5, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2089
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.2094 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, (R * Y2^2 * Y1)^2, (Y1 * Y2 * Y1 * Y2^-1)^2, (Y1 * Y2^2 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^10 ]
Map::
	R = (1, 161, 2, 162)(3, 163, 7, 167)(4, 164, 9, 169)(5, 165, 11, 171)(6, 166, 13, 173)(8, 168, 17, 177)(10, 170, 20, 180)(12, 172, 23, 183)(14, 174, 26, 186)(15, 175, 27, 187)(16, 176, 22, 182)(18, 178, 24, 184)(19, 179, 33, 193)(21, 181, 37, 197)(25, 185, 43, 203)(28, 188, 49, 209)(29, 189, 50, 210)(30, 190, 51, 211)(31, 191, 48, 208)(32, 192, 54, 214)(34, 194, 57, 217)(35, 195, 55, 215)(36, 196, 59, 219)(38, 198, 63, 223)(39, 199, 64, 224)(40, 200, 65, 225)(41, 201, 62, 222)(42, 202, 68, 228)(44, 204, 71, 231)(45, 205, 69, 229)(46, 206, 73, 233)(47, 207, 75, 235)(52, 212, 83, 243)(53, 213, 67, 227)(56, 216, 86, 246)(58, 218, 72, 232)(60, 220, 91, 251)(61, 221, 92, 252)(66, 226, 100, 260)(70, 230, 103, 263)(74, 234, 108, 268)(76, 236, 111, 271)(77, 237, 94, 254)(78, 238, 112, 272)(79, 239, 110, 270)(80, 240, 97, 257)(81, 241, 114, 274)(82, 242, 115, 275)(84, 244, 118, 278)(85, 245, 102, 262)(87, 247, 121, 281)(88, 248, 119, 279)(89, 249, 122, 282)(90, 250, 123, 283)(93, 253, 126, 286)(95, 255, 127, 287)(96, 256, 125, 285)(98, 258, 129, 289)(99, 259, 130, 290)(101, 261, 133, 293)(104, 264, 136, 296)(105, 265, 134, 294)(106, 266, 137, 297)(107, 267, 138, 298)(109, 269, 139, 299)(113, 273, 128, 288)(116, 276, 131, 291)(117, 277, 132, 292)(120, 280, 146, 306)(124, 284, 147, 307)(135, 295, 154, 314)(140, 300, 148, 308)(141, 301, 149, 309)(142, 302, 156, 316)(143, 303, 151, 311)(144, 304, 157, 317)(145, 305, 153, 313)(150, 310, 159, 319)(152, 312, 160, 320)(155, 315, 158, 318)(321, 481, 323, 483, 328, 488, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 334, 494, 326, 486)(327, 487, 335, 495, 348, 508, 349, 509, 336, 496)(329, 489, 338, 498, 352, 512, 354, 514, 339, 499)(331, 491, 341, 501, 358, 518, 359, 519, 342, 502)(333, 493, 344, 504, 362, 522, 364, 524, 345, 505)(337, 497, 350, 510, 372, 532, 373, 533, 351, 511)(340, 500, 355, 515, 378, 538, 380, 540, 356, 516)(343, 503, 360, 520, 386, 546, 387, 547, 361, 521)(346, 506, 365, 525, 392, 552, 394, 554, 366, 526)(347, 507, 367, 527, 396, 556, 397, 557, 368, 528)(353, 513, 375, 535, 405, 565, 407, 567, 376, 536)(357, 517, 381, 541, 413, 573, 414, 574, 382, 542)(363, 523, 389, 549, 422, 582, 424, 584, 390, 550)(369, 529, 398, 558, 433, 593, 411, 571, 399, 559)(370, 530, 400, 560, 374, 534, 404, 564, 401, 561)(371, 531, 402, 562, 436, 596, 410, 570, 379, 539)(377, 537, 408, 568, 403, 563, 437, 597, 409, 569)(383, 543, 415, 575, 448, 608, 428, 588, 416, 576)(384, 544, 417, 577, 388, 548, 421, 581, 418, 578)(385, 545, 419, 579, 451, 611, 427, 587, 393, 553)(391, 551, 425, 585, 420, 580, 452, 612, 426, 586)(395, 555, 429, 589, 460, 620, 443, 603, 430, 590)(406, 566, 439, 599, 435, 595, 465, 625, 440, 600)(412, 572, 444, 604, 468, 628, 458, 618, 445, 605)(423, 583, 454, 614, 450, 610, 473, 633, 455, 615)(431, 591, 461, 621, 442, 602, 438, 598, 462, 622)(432, 592, 463, 623, 441, 601, 464, 624, 434, 594)(446, 606, 469, 629, 457, 617, 453, 613, 470, 630)(447, 607, 471, 631, 456, 616, 472, 632, 449, 609)(459, 619, 475, 635, 466, 626, 477, 637, 476, 636)(467, 627, 478, 638, 474, 634, 480, 640, 479, 639)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 340)(11, 325)(12, 343)(13, 326)(14, 346)(15, 347)(16, 342)(17, 328)(18, 344)(19, 353)(20, 330)(21, 357)(22, 336)(23, 332)(24, 338)(25, 363)(26, 334)(27, 335)(28, 369)(29, 370)(30, 371)(31, 368)(32, 374)(33, 339)(34, 377)(35, 375)(36, 379)(37, 341)(38, 383)(39, 384)(40, 385)(41, 382)(42, 388)(43, 345)(44, 391)(45, 389)(46, 393)(47, 395)(48, 351)(49, 348)(50, 349)(51, 350)(52, 403)(53, 387)(54, 352)(55, 355)(56, 406)(57, 354)(58, 392)(59, 356)(60, 411)(61, 412)(62, 361)(63, 358)(64, 359)(65, 360)(66, 420)(67, 373)(68, 362)(69, 365)(70, 423)(71, 364)(72, 378)(73, 366)(74, 428)(75, 367)(76, 431)(77, 414)(78, 432)(79, 430)(80, 417)(81, 434)(82, 435)(83, 372)(84, 438)(85, 422)(86, 376)(87, 441)(88, 439)(89, 442)(90, 443)(91, 380)(92, 381)(93, 446)(94, 397)(95, 447)(96, 445)(97, 400)(98, 449)(99, 450)(100, 386)(101, 453)(102, 405)(103, 390)(104, 456)(105, 454)(106, 457)(107, 458)(108, 394)(109, 459)(110, 399)(111, 396)(112, 398)(113, 448)(114, 401)(115, 402)(116, 451)(117, 452)(118, 404)(119, 408)(120, 466)(121, 407)(122, 409)(123, 410)(124, 467)(125, 416)(126, 413)(127, 415)(128, 433)(129, 418)(130, 419)(131, 436)(132, 437)(133, 421)(134, 425)(135, 474)(136, 424)(137, 426)(138, 427)(139, 429)(140, 468)(141, 469)(142, 476)(143, 471)(144, 477)(145, 473)(146, 440)(147, 444)(148, 460)(149, 461)(150, 479)(151, 463)(152, 480)(153, 465)(154, 455)(155, 478)(156, 462)(157, 464)(158, 475)(159, 470)(160, 472)(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, 20, 2, 20 ), ( 2, 20, 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2097
Graph:: bipartite
	v = 112 e = 320 f = 176
	degree seq :: [ 4^80, 10^32 ]

E17.2095 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^5, Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y2 * Y1^-1 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^2 * Y2^2, Y2^10, (Y2^3 * Y1^-2)^2, (Y2^4 * Y1^-1)^2, (Y2 * Y1^-1 * Y2^2 * Y1^-1)^2, (Y2 * Y1^-1 * Y2 * Y1^-2)^2 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 13, 173, 4, 164)(3, 163, 9, 169, 22, 182, 28, 188, 11, 171)(5, 165, 14, 174, 33, 193, 19, 179, 7, 167)(8, 168, 20, 180, 46, 206, 39, 199, 16, 176)(10, 170, 24, 184, 54, 214, 60, 220, 26, 186)(12, 172, 29, 189, 55, 215, 69, 229, 31, 191)(15, 175, 36, 196, 76, 236, 38, 198, 34, 194)(17, 177, 40, 200, 83, 243, 71, 231, 32, 192)(18, 178, 42, 202, 23, 183, 52, 212, 44, 204)(21, 181, 49, 209, 97, 257, 70, 230, 47, 207)(25, 185, 56, 216, 110, 270, 86, 246, 58, 218)(27, 187, 61, 221, 111, 271, 84, 244, 63, 223)(30, 190, 65, 225, 41, 201, 85, 245, 67, 227)(35, 195, 74, 234, 129, 289, 131, 291, 72, 232)(37, 197, 79, 239, 128, 288, 130, 290, 77, 237)(43, 203, 87, 247, 117, 277, 108, 268, 89, 249)(45, 205, 73, 233, 127, 287, 109, 269, 92, 252)(48, 208, 95, 255, 68, 228, 125, 285, 93, 253)(50, 210, 100, 260, 66, 226, 122, 282, 98, 258)(51, 211, 102, 262, 82, 242, 94, 254, 64, 224)(53, 213, 106, 266, 81, 241, 121, 281, 104, 264)(57, 217, 112, 272, 157, 317, 148, 308, 101, 261)(59, 219, 115, 275, 136, 296, 146, 306, 96, 256)(62, 222, 118, 278, 103, 263, 147, 307, 99, 259)(75, 235, 124, 284, 138, 298, 91, 251, 132, 292)(78, 238, 126, 286, 145, 305, 156, 316, 133, 293)(80, 240, 123, 283, 144, 304, 158, 318, 134, 294)(88, 248, 140, 300, 150, 310, 114, 274, 139, 299)(90, 250, 105, 265, 149, 309, 120, 280, 137, 297)(107, 267, 153, 313, 119, 279, 143, 303, 151, 311)(113, 273, 141, 301, 159, 319, 160, 320, 154, 314)(116, 276, 142, 302, 155, 315, 135, 295, 152, 312)(321, 481, 323, 483, 330, 490, 345, 505, 377, 537, 433, 593, 400, 560, 357, 517, 335, 495, 325, 485)(322, 482, 327, 487, 338, 498, 363, 523, 408, 568, 461, 621, 421, 581, 370, 530, 341, 501, 328, 488)(324, 484, 332, 492, 350, 510, 386, 546, 443, 603, 474, 634, 427, 587, 373, 533, 343, 503, 329, 489)(326, 486, 336, 496, 358, 518, 401, 561, 455, 615, 479, 639, 459, 619, 406, 566, 361, 521, 337, 497)(331, 491, 347, 507, 382, 542, 439, 599, 399, 559, 454, 614, 476, 636, 429, 589, 375, 535, 344, 504)(333, 493, 352, 512, 390, 550, 448, 608, 473, 633, 480, 640, 475, 635, 428, 588, 374, 534, 349, 509)(334, 494, 354, 514, 359, 519, 402, 562, 456, 616, 432, 592, 378, 538, 434, 594, 395, 555, 355, 515)(339, 499, 365, 525, 411, 571, 464, 624, 420, 580, 468, 628, 423, 583, 371, 531, 342, 502, 362, 522)(340, 500, 367, 527, 391, 551, 449, 609, 469, 629, 460, 620, 409, 569, 462, 622, 416, 576, 368, 528)(346, 506, 379, 539, 436, 596, 398, 558, 356, 516, 397, 557, 451, 611, 403, 563, 431, 591, 376, 536)(348, 508, 384, 544, 441, 601, 396, 556, 453, 613, 478, 638, 458, 618, 405, 565, 430, 590, 381, 541)(351, 511, 388, 548, 446, 606, 472, 632, 426, 586, 471, 631, 457, 617, 404, 564, 360, 520, 385, 545)(353, 513, 392, 552, 450, 610, 417, 577, 467, 627, 477, 637, 435, 595, 380, 540, 437, 597, 393, 553)(364, 524, 410, 570, 463, 623, 419, 579, 369, 529, 418, 578, 445, 605, 389, 549, 447, 607, 407, 567)(366, 526, 413, 573, 442, 602, 387, 547, 444, 604, 470, 630, 425, 585, 372, 532, 424, 584, 414, 574)(383, 543, 440, 600, 394, 554, 452, 612, 412, 572, 465, 625, 415, 575, 466, 626, 422, 582, 438, 598)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 336)(7, 338)(8, 322)(9, 324)(10, 345)(11, 347)(12, 350)(13, 352)(14, 354)(15, 325)(16, 358)(17, 326)(18, 363)(19, 365)(20, 367)(21, 328)(22, 362)(23, 329)(24, 331)(25, 377)(26, 379)(27, 382)(28, 384)(29, 333)(30, 386)(31, 388)(32, 390)(33, 392)(34, 359)(35, 334)(36, 397)(37, 335)(38, 401)(39, 402)(40, 385)(41, 337)(42, 339)(43, 408)(44, 410)(45, 411)(46, 413)(47, 391)(48, 340)(49, 418)(50, 341)(51, 342)(52, 424)(53, 343)(54, 349)(55, 344)(56, 346)(57, 433)(58, 434)(59, 436)(60, 437)(61, 348)(62, 439)(63, 440)(64, 441)(65, 351)(66, 443)(67, 444)(68, 446)(69, 447)(70, 448)(71, 449)(72, 450)(73, 353)(74, 452)(75, 355)(76, 453)(77, 451)(78, 356)(79, 454)(80, 357)(81, 455)(82, 456)(83, 431)(84, 360)(85, 430)(86, 361)(87, 364)(88, 461)(89, 462)(90, 463)(91, 464)(92, 465)(93, 442)(94, 366)(95, 466)(96, 368)(97, 467)(98, 445)(99, 369)(100, 468)(101, 370)(102, 438)(103, 371)(104, 414)(105, 372)(106, 471)(107, 373)(108, 374)(109, 375)(110, 381)(111, 376)(112, 378)(113, 400)(114, 395)(115, 380)(116, 398)(117, 393)(118, 383)(119, 399)(120, 394)(121, 396)(122, 387)(123, 474)(124, 470)(125, 389)(126, 472)(127, 407)(128, 473)(129, 469)(130, 417)(131, 403)(132, 412)(133, 478)(134, 476)(135, 479)(136, 432)(137, 404)(138, 405)(139, 406)(140, 409)(141, 421)(142, 416)(143, 419)(144, 420)(145, 415)(146, 422)(147, 477)(148, 423)(149, 460)(150, 425)(151, 457)(152, 426)(153, 480)(154, 427)(155, 428)(156, 429)(157, 435)(158, 458)(159, 459)(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) :: { ( 2, 4, 2, 4, 2, 4, 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 E17.2096
Graph:: bipartite
	v = 48 e = 320 f = 240
	degree seq :: [ 10^32, 20^16 ]

E17.2096 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2 * Y3^-1 * Y2)^2, (Y3 * Y2)^5, (Y3 * Y2 * Y3^-2 * Y2 * Y3)^2, Y3^-1 * Y2 * Y3^5 * Y2 * Y3^-4, (Y3^-1 * Y2 * Y3^-2 * Y2 * Y3^-2)^2, (Y3^-1 * Y1^-1)^10 ]
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, 341, 501)(332, 492, 345, 505)(334, 494, 349, 509)(335, 495, 351, 511)(336, 496, 344, 504)(338, 498, 356, 516)(339, 499, 347, 507)(340, 500, 359, 519)(342, 502, 363, 523)(343, 503, 365, 525)(346, 506, 370, 530)(348, 508, 373, 533)(350, 510, 377, 537)(352, 512, 380, 540)(353, 513, 382, 542)(354, 514, 384, 544)(355, 515, 379, 539)(357, 517, 389, 549)(358, 518, 391, 551)(360, 520, 394, 554)(361, 521, 393, 553)(362, 522, 397, 557)(364, 524, 401, 561)(366, 526, 403, 563)(367, 527, 405, 565)(368, 528, 407, 567)(369, 529, 402, 562)(371, 531, 412, 572)(372, 532, 414, 574)(374, 534, 417, 577)(375, 535, 416, 576)(376, 536, 420, 580)(378, 538, 424, 584)(381, 541, 427, 587)(383, 543, 430, 590)(385, 545, 433, 593)(386, 546, 409, 569)(387, 547, 436, 596)(388, 548, 432, 592)(390, 550, 413, 573)(392, 552, 441, 601)(395, 555, 444, 604)(396, 556, 419, 579)(398, 558, 446, 606)(399, 559, 445, 605)(400, 560, 447, 607)(404, 564, 450, 610)(406, 566, 453, 613)(408, 568, 456, 616)(410, 570, 459, 619)(411, 571, 455, 615)(415, 575, 464, 624)(418, 578, 467, 627)(421, 581, 469, 629)(422, 582, 468, 628)(423, 583, 470, 630)(425, 585, 448, 608)(426, 586, 458, 618)(428, 588, 451, 611)(429, 589, 452, 612)(431, 591, 473, 633)(434, 594, 457, 617)(435, 595, 449, 609)(437, 597, 460, 620)(438, 598, 466, 626)(439, 599, 462, 622)(440, 600, 475, 635)(442, 602, 465, 625)(443, 603, 461, 621)(454, 614, 478, 638)(463, 623, 480, 640)(471, 631, 476, 636)(472, 632, 477, 637)(474, 634, 479, 639)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 338)(9, 339)(10, 324)(11, 343)(12, 346)(13, 347)(14, 326)(15, 352)(16, 327)(17, 354)(18, 357)(19, 358)(20, 329)(21, 361)(22, 330)(23, 366)(24, 331)(25, 368)(26, 371)(27, 372)(28, 333)(29, 375)(30, 334)(31, 373)(32, 381)(33, 336)(34, 385)(35, 337)(36, 387)(37, 390)(38, 392)(39, 393)(40, 340)(41, 396)(42, 341)(43, 399)(44, 342)(45, 359)(46, 404)(47, 344)(48, 408)(49, 345)(50, 410)(51, 413)(52, 415)(53, 416)(54, 348)(55, 419)(56, 349)(57, 422)(58, 350)(59, 351)(60, 426)(61, 428)(62, 429)(63, 353)(64, 405)(65, 434)(66, 355)(67, 437)(68, 356)(69, 439)(70, 364)(71, 420)(72, 440)(73, 442)(74, 403)(75, 360)(76, 438)(77, 445)(78, 362)(79, 435)(80, 363)(81, 431)(82, 365)(83, 449)(84, 451)(85, 452)(86, 367)(87, 382)(88, 457)(89, 369)(90, 460)(91, 370)(92, 462)(93, 378)(94, 397)(95, 463)(96, 465)(97, 380)(98, 374)(99, 461)(100, 468)(101, 376)(102, 458)(103, 377)(104, 454)(105, 379)(106, 471)(107, 472)(108, 401)(109, 391)(110, 456)(111, 383)(112, 384)(113, 474)(114, 400)(115, 386)(116, 448)(117, 398)(118, 388)(119, 395)(120, 389)(121, 453)(122, 470)(123, 394)(124, 455)(125, 450)(126, 464)(127, 473)(128, 402)(129, 476)(130, 477)(131, 424)(132, 414)(133, 433)(134, 406)(135, 407)(136, 479)(137, 423)(138, 409)(139, 425)(140, 421)(141, 411)(142, 418)(143, 412)(144, 430)(145, 447)(146, 417)(147, 432)(148, 427)(149, 441)(150, 478)(151, 446)(152, 444)(153, 480)(154, 443)(155, 436)(156, 469)(157, 467)(158, 475)(159, 466)(160, 459)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 10, 20 ), ( 10, 20, 10, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2095
Graph:: simple bipartite
	v = 240 e = 320 f = 48
	degree seq :: [ 2^160, 4^80 ]

E17.2097 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|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 * Y3 * Y1^-1)^2, Y1^10, Y1^10, (Y3 * Y1^-1)^5, (Y3 * Y1^2 * Y3 * Y1^-2)^2, (Y1^4 * Y3 * Y1)^2 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 11, 171, 23, 183, 45, 205, 44, 204, 22, 182, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 31, 191, 59, 219, 82, 242, 70, 230, 37, 197, 18, 178, 8, 168)(6, 166, 13, 173, 27, 187, 53, 213, 95, 255, 81, 241, 104, 264, 58, 218, 30, 190, 14, 174)(9, 169, 19, 179, 38, 198, 71, 231, 84, 244, 46, 206, 83, 243, 75, 235, 40, 200, 20, 180)(12, 172, 25, 185, 49, 209, 89, 249, 80, 240, 43, 203, 79, 239, 94, 254, 52, 212, 26, 186)(16, 176, 33, 193, 63, 223, 110, 270, 141, 301, 120, 280, 146, 306, 100, 260, 56, 216, 29, 189)(17, 177, 34, 194, 65, 225, 112, 272, 151, 311, 105, 265, 128, 288, 114, 274, 66, 226, 35, 195)(21, 181, 41, 201, 76, 236, 88, 248, 48, 208, 24, 184, 47, 207, 85, 245, 78, 238, 42, 202)(28, 188, 55, 215, 99, 259, 145, 305, 127, 287, 150, 310, 159, 319, 138, 298, 92, 252, 51, 211)(32, 192, 61, 221, 108, 268, 134, 294, 119, 279, 69, 229, 118, 278, 139, 299, 93, 253, 62, 222)(36, 196, 67, 227, 115, 275, 152, 312, 107, 267, 60, 220, 106, 266, 130, 290, 117, 277, 68, 228)(39, 199, 73, 233, 122, 282, 155, 315, 156, 316, 129, 289, 86, 246, 131, 291, 109, 269, 64, 224)(50, 210, 91, 251, 137, 297, 113, 273, 77, 237, 125, 285, 153, 313, 157, 317, 132, 292, 87, 247)(54, 214, 97, 257, 144, 304, 126, 286, 149, 309, 103, 263, 148, 308, 158, 318, 133, 293, 98, 258)(57, 217, 101, 261, 72, 232, 116, 276, 143, 303, 96, 256, 142, 302, 124, 284, 147, 307, 102, 262)(74, 234, 111, 271, 140, 300, 160, 320, 154, 314, 121, 281, 136, 296, 90, 250, 135, 295, 123, 283)(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, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 356)(19, 354)(20, 359)(21, 330)(22, 363)(23, 366)(24, 331)(25, 370)(26, 371)(27, 374)(28, 333)(29, 334)(30, 377)(31, 380)(32, 335)(33, 384)(34, 339)(35, 375)(36, 338)(37, 389)(38, 392)(39, 340)(40, 394)(41, 393)(42, 397)(43, 342)(44, 401)(45, 402)(46, 343)(47, 406)(48, 407)(49, 410)(50, 345)(51, 346)(52, 413)(53, 416)(54, 347)(55, 355)(56, 411)(57, 350)(58, 423)(59, 425)(60, 351)(61, 422)(62, 429)(63, 431)(64, 353)(65, 433)(66, 418)(67, 419)(68, 436)(69, 357)(70, 440)(71, 441)(72, 358)(73, 361)(74, 360)(75, 444)(76, 435)(77, 362)(78, 446)(79, 445)(80, 447)(81, 364)(82, 365)(83, 448)(84, 449)(85, 450)(86, 367)(87, 368)(88, 453)(89, 454)(90, 369)(91, 376)(92, 451)(93, 372)(94, 460)(95, 461)(96, 373)(97, 459)(98, 386)(99, 387)(100, 456)(101, 457)(102, 381)(103, 378)(104, 470)(105, 379)(106, 458)(107, 467)(108, 468)(109, 382)(110, 473)(111, 383)(112, 469)(113, 385)(114, 452)(115, 396)(116, 388)(117, 474)(118, 463)(119, 475)(120, 390)(121, 391)(122, 465)(123, 472)(124, 395)(125, 399)(126, 398)(127, 400)(128, 403)(129, 404)(130, 405)(131, 412)(132, 434)(133, 408)(134, 409)(135, 478)(136, 420)(137, 421)(138, 426)(139, 417)(140, 414)(141, 415)(142, 477)(143, 438)(144, 480)(145, 442)(146, 476)(147, 427)(148, 428)(149, 432)(150, 424)(151, 479)(152, 443)(153, 430)(154, 437)(155, 439)(156, 466)(157, 462)(158, 455)(159, 471)(160, 464)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2094
Graph:: simple bipartite
	v = 176 e = 320 f = 112
	degree seq :: [ 2^160, 20^16 ]

E17.2098 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^2 * R)^2, (Y2 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1)^5, (Y3 * Y2^-1)^5, Y2^10, (Y2^-4 * Y1 * Y2^-1)^2, (Y2^-1 * R * Y2^-4)^2, Y2^-1 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 ]
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, 21, 181)(12, 172, 25, 185)(14, 174, 29, 189)(15, 175, 31, 191)(16, 176, 24, 184)(18, 178, 36, 196)(19, 179, 27, 187)(20, 180, 39, 199)(22, 182, 43, 203)(23, 183, 45, 205)(26, 186, 50, 210)(28, 188, 53, 213)(30, 190, 57, 217)(32, 192, 60, 220)(33, 193, 62, 222)(34, 194, 64, 224)(35, 195, 59, 219)(37, 197, 69, 229)(38, 198, 71, 231)(40, 200, 74, 234)(41, 201, 73, 233)(42, 202, 77, 237)(44, 204, 81, 241)(46, 206, 83, 243)(47, 207, 85, 245)(48, 208, 87, 247)(49, 209, 82, 242)(51, 211, 92, 252)(52, 212, 94, 254)(54, 214, 97, 257)(55, 215, 96, 256)(56, 216, 100, 260)(58, 218, 104, 264)(61, 221, 107, 267)(63, 223, 110, 270)(65, 225, 113, 273)(66, 226, 89, 249)(67, 227, 116, 276)(68, 228, 112, 272)(70, 230, 93, 253)(72, 232, 121, 281)(75, 235, 124, 284)(76, 236, 99, 259)(78, 238, 126, 286)(79, 239, 125, 285)(80, 240, 127, 287)(84, 244, 130, 290)(86, 246, 133, 293)(88, 248, 136, 296)(90, 250, 139, 299)(91, 251, 135, 295)(95, 255, 144, 304)(98, 258, 147, 307)(101, 261, 149, 309)(102, 262, 148, 308)(103, 263, 150, 310)(105, 265, 128, 288)(106, 266, 138, 298)(108, 268, 131, 291)(109, 269, 132, 292)(111, 271, 153, 313)(114, 274, 137, 297)(115, 275, 129, 289)(117, 277, 140, 300)(118, 278, 146, 306)(119, 279, 142, 302)(120, 280, 155, 315)(122, 282, 145, 305)(123, 283, 141, 301)(134, 294, 158, 318)(143, 303, 160, 320)(151, 311, 156, 316)(152, 312, 157, 317)(154, 314, 159, 319)(321, 481, 323, 483, 328, 488, 338, 498, 357, 517, 390, 550, 364, 524, 342, 502, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 346, 506, 371, 531, 413, 573, 378, 538, 350, 510, 334, 494, 326, 486)(327, 487, 335, 495, 352, 512, 381, 541, 428, 588, 401, 561, 431, 591, 383, 543, 353, 513, 336, 496)(329, 489, 339, 499, 358, 518, 392, 552, 440, 600, 389, 549, 439, 599, 395, 555, 360, 520, 340, 500)(331, 491, 343, 503, 366, 526, 404, 564, 451, 611, 424, 584, 454, 614, 406, 566, 367, 527, 344, 504)(333, 493, 347, 507, 372, 532, 415, 575, 463, 623, 412, 572, 462, 622, 418, 578, 374, 534, 348, 508)(337, 497, 354, 514, 385, 545, 434, 594, 400, 560, 363, 523, 399, 559, 435, 595, 386, 546, 355, 515)(341, 501, 361, 521, 396, 556, 438, 598, 388, 548, 356, 516, 387, 547, 437, 597, 398, 558, 362, 522)(345, 505, 368, 528, 408, 568, 457, 617, 423, 583, 377, 537, 422, 582, 458, 618, 409, 569, 369, 529)(349, 509, 375, 535, 419, 579, 461, 621, 411, 571, 370, 530, 410, 570, 460, 620, 421, 581, 376, 536)(351, 511, 373, 533, 416, 576, 465, 625, 447, 607, 473, 633, 480, 640, 459, 619, 425, 585, 379, 539)(359, 519, 393, 553, 442, 602, 470, 630, 478, 638, 475, 635, 436, 596, 448, 608, 402, 562, 365, 525)(380, 540, 426, 586, 471, 631, 446, 606, 464, 624, 430, 590, 456, 616, 479, 639, 466, 626, 417, 577)(382, 542, 429, 589, 391, 551, 420, 580, 468, 628, 427, 587, 472, 632, 444, 604, 455, 615, 407, 567)(384, 544, 405, 565, 452, 612, 414, 574, 397, 557, 445, 605, 450, 610, 477, 637, 467, 627, 432, 592)(394, 554, 403, 563, 449, 609, 476, 636, 469, 629, 441, 601, 453, 613, 433, 593, 474, 634, 443, 603)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 341)(11, 325)(12, 345)(13, 326)(14, 349)(15, 351)(16, 344)(17, 328)(18, 356)(19, 347)(20, 359)(21, 330)(22, 363)(23, 365)(24, 336)(25, 332)(26, 370)(27, 339)(28, 373)(29, 334)(30, 377)(31, 335)(32, 380)(33, 382)(34, 384)(35, 379)(36, 338)(37, 389)(38, 391)(39, 340)(40, 394)(41, 393)(42, 397)(43, 342)(44, 401)(45, 343)(46, 403)(47, 405)(48, 407)(49, 402)(50, 346)(51, 412)(52, 414)(53, 348)(54, 417)(55, 416)(56, 420)(57, 350)(58, 424)(59, 355)(60, 352)(61, 427)(62, 353)(63, 430)(64, 354)(65, 433)(66, 409)(67, 436)(68, 432)(69, 357)(70, 413)(71, 358)(72, 441)(73, 361)(74, 360)(75, 444)(76, 419)(77, 362)(78, 446)(79, 445)(80, 447)(81, 364)(82, 369)(83, 366)(84, 450)(85, 367)(86, 453)(87, 368)(88, 456)(89, 386)(90, 459)(91, 455)(92, 371)(93, 390)(94, 372)(95, 464)(96, 375)(97, 374)(98, 467)(99, 396)(100, 376)(101, 469)(102, 468)(103, 470)(104, 378)(105, 448)(106, 458)(107, 381)(108, 451)(109, 452)(110, 383)(111, 473)(112, 388)(113, 385)(114, 457)(115, 449)(116, 387)(117, 460)(118, 466)(119, 462)(120, 475)(121, 392)(122, 465)(123, 461)(124, 395)(125, 399)(126, 398)(127, 400)(128, 425)(129, 435)(130, 404)(131, 428)(132, 429)(133, 406)(134, 478)(135, 411)(136, 408)(137, 434)(138, 426)(139, 410)(140, 437)(141, 443)(142, 439)(143, 480)(144, 415)(145, 442)(146, 438)(147, 418)(148, 422)(149, 421)(150, 423)(151, 476)(152, 477)(153, 431)(154, 479)(155, 440)(156, 471)(157, 472)(158, 454)(159, 474)(160, 463)(161, 481)(162, 482)(163, 483)(164, 484)(165, 485)(166, 486)(167, 487)(168, 488)(169, 489)(170, 490)(171, 491)(172, 492)(173, 493)(174, 494)(175, 495)(176, 496)(177, 497)(178, 498)(179, 499)(180, 500)(181, 501)(182, 502)(183, 503)(184, 504)(185, 505)(186, 506)(187, 507)(188, 508)(189, 509)(190, 510)(191, 511)(192, 512)(193, 513)(194, 514)(195, 515)(196, 516)(197, 517)(198, 518)(199, 519)(200, 520)(201, 521)(202, 522)(203, 523)(204, 524)(205, 525)(206, 526)(207, 527)(208, 528)(209, 529)(210, 530)(211, 531)(212, 532)(213, 533)(214, 534)(215, 535)(216, 536)(217, 537)(218, 538)(219, 539)(220, 540)(221, 541)(222, 542)(223, 543)(224, 544)(225, 545)(226, 546)(227, 547)(228, 548)(229, 549)(230, 550)(231, 551)(232, 552)(233, 553)(234, 554)(235, 555)(236, 556)(237, 557)(238, 558)(239, 559)(240, 560)(241, 561)(242, 562)(243, 563)(244, 564)(245, 565)(246, 566)(247, 567)(248, 568)(249, 569)(250, 570)(251, 571)(252, 572)(253, 573)(254, 574)(255, 575)(256, 576)(257, 577)(258, 578)(259, 579)(260, 580)(261, 581)(262, 582)(263, 583)(264, 584)(265, 585)(266, 586)(267, 587)(268, 588)(269, 589)(270, 590)(271, 591)(272, 592)(273, 593)(274, 594)(275, 595)(276, 596)(277, 597)(278, 598)(279, 599)(280, 600)(281, 601)(282, 602)(283, 603)(284, 604)(285, 605)(286, 606)(287, 607)(288, 608)(289, 609)(290, 610)(291, 611)(292, 612)(293, 613)(294, 614)(295, 615)(296, 616)(297, 617)(298, 618)(299, 619)(300, 620)(301, 621)(302, 622)(303, 623)(304, 624)(305, 625)(306, 626)(307, 627)(308, 628)(309, 629)(310, 630)(311, 631)(312, 632)(313, 633)(314, 634)(315, 635)(316, 636)(317, 637)(318, 638)(319, 639)(320, 640)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2099
Graph:: bipartite
	v = 96 e = 320 f = 192
	degree seq :: [ 4^80, 20^16 ]

E17.2099 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 10})
Quotient :: dipole
Aut^+ = C2 x ((C2 x C2 x C2 x C2) : C5) (small group id <160, 235>)
Aut   = $<320, 1636>$ (small group id <320, 1636>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-1, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^2 * Y3^2, (Y3^3 * Y1^-2)^2, (Y3 * Y1^-1 * Y3 * Y1^-2)^2, (Y3^2 * Y1^-1 * Y3 * Y1^-1)^2, (Y3^4 * Y1^-1)^2, (Y3 * Y2^-1)^10 ]
Map:: polytopal
	R = (1, 161, 2, 162, 6, 166, 13, 173, 4, 164)(3, 163, 9, 169, 22, 182, 28, 188, 11, 171)(5, 165, 14, 174, 33, 193, 19, 179, 7, 167)(8, 168, 20, 180, 46, 206, 39, 199, 16, 176)(10, 170, 24, 184, 54, 214, 60, 220, 26, 186)(12, 172, 29, 189, 55, 215, 69, 229, 31, 191)(15, 175, 36, 196, 76, 236, 38, 198, 34, 194)(17, 177, 40, 200, 83, 243, 71, 231, 32, 192)(18, 178, 42, 202, 23, 183, 52, 212, 44, 204)(21, 181, 49, 209, 97, 257, 70, 230, 47, 207)(25, 185, 56, 216, 110, 270, 86, 246, 58, 218)(27, 187, 61, 221, 111, 271, 84, 244, 63, 223)(30, 190, 65, 225, 41, 201, 85, 245, 67, 227)(35, 195, 74, 234, 129, 289, 131, 291, 72, 232)(37, 197, 79, 239, 128, 288, 130, 290, 77, 237)(43, 203, 87, 247, 117, 277, 108, 268, 89, 249)(45, 205, 73, 233, 127, 287, 109, 269, 92, 252)(48, 208, 95, 255, 68, 228, 125, 285, 93, 253)(50, 210, 100, 260, 66, 226, 122, 282, 98, 258)(51, 211, 102, 262, 82, 242, 94, 254, 64, 224)(53, 213, 106, 266, 81, 241, 121, 281, 104, 264)(57, 217, 112, 272, 157, 317, 148, 308, 101, 261)(59, 219, 115, 275, 136, 296, 146, 306, 96, 256)(62, 222, 118, 278, 103, 263, 147, 307, 99, 259)(75, 235, 124, 284, 138, 298, 91, 251, 132, 292)(78, 238, 126, 286, 145, 305, 156, 316, 133, 293)(80, 240, 123, 283, 144, 304, 158, 318, 134, 294)(88, 248, 140, 300, 150, 310, 114, 274, 139, 299)(90, 250, 105, 265, 149, 309, 120, 280, 137, 297)(107, 267, 153, 313, 119, 279, 143, 303, 151, 311)(113, 273, 141, 301, 159, 319, 160, 320, 154, 314)(116, 276, 142, 302, 155, 315, 135, 295, 152, 312)(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, 336)(7, 338)(8, 322)(9, 324)(10, 345)(11, 347)(12, 350)(13, 352)(14, 354)(15, 325)(16, 358)(17, 326)(18, 363)(19, 365)(20, 367)(21, 328)(22, 362)(23, 329)(24, 331)(25, 377)(26, 379)(27, 382)(28, 384)(29, 333)(30, 386)(31, 388)(32, 390)(33, 392)(34, 359)(35, 334)(36, 397)(37, 335)(38, 401)(39, 402)(40, 385)(41, 337)(42, 339)(43, 408)(44, 410)(45, 411)(46, 413)(47, 391)(48, 340)(49, 418)(50, 341)(51, 342)(52, 424)(53, 343)(54, 349)(55, 344)(56, 346)(57, 433)(58, 434)(59, 436)(60, 437)(61, 348)(62, 439)(63, 440)(64, 441)(65, 351)(66, 443)(67, 444)(68, 446)(69, 447)(70, 448)(71, 449)(72, 450)(73, 353)(74, 452)(75, 355)(76, 453)(77, 451)(78, 356)(79, 454)(80, 357)(81, 455)(82, 456)(83, 431)(84, 360)(85, 430)(86, 361)(87, 364)(88, 461)(89, 462)(90, 463)(91, 464)(92, 465)(93, 442)(94, 366)(95, 466)(96, 368)(97, 467)(98, 445)(99, 369)(100, 468)(101, 370)(102, 438)(103, 371)(104, 414)(105, 372)(106, 471)(107, 373)(108, 374)(109, 375)(110, 381)(111, 376)(112, 378)(113, 400)(114, 395)(115, 380)(116, 398)(117, 393)(118, 383)(119, 399)(120, 394)(121, 396)(122, 387)(123, 474)(124, 470)(125, 389)(126, 472)(127, 407)(128, 473)(129, 469)(130, 417)(131, 403)(132, 412)(133, 478)(134, 476)(135, 479)(136, 432)(137, 404)(138, 405)(139, 406)(140, 409)(141, 421)(142, 416)(143, 419)(144, 420)(145, 415)(146, 422)(147, 477)(148, 423)(149, 460)(150, 425)(151, 457)(152, 426)(153, 480)(154, 427)(155, 428)(156, 429)(157, 435)(158, 458)(159, 459)(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, 20 ), ( 4, 20, 4, 20, 4, 20, 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2098
Graph:: simple bipartite
	v = 192 e = 320 f = 96
	degree seq :: [ 2^160, 10^32 ]

E17.2100 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 20})
Quotient :: regular
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1)^4, T2 * T1^-1 * T2 * T1 * T2 * T1^3 * T2 * T1, (T2 * T1^-4)^2, T1^20 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 68, 85, 101, 117, 133, 132, 116, 100, 84, 67, 44, 22, 10, 4)(3, 7, 15, 31, 59, 77, 93, 109, 125, 141, 151, 135, 118, 108, 89, 70, 46, 37, 18, 8)(6, 13, 27, 53, 43, 66, 83, 99, 115, 131, 147, 149, 134, 124, 105, 87, 69, 58, 30, 14)(9, 19, 38, 64, 81, 97, 113, 129, 145, 154, 137, 119, 102, 92, 72, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 65, 82, 98, 114, 130, 146, 148, 140, 121, 103, 86, 76, 52, 26)(16, 33, 50, 29, 56, 71, 90, 104, 122, 136, 152, 158, 155, 144, 128, 111, 94, 80, 62, 34)(17, 35, 51, 74, 88, 106, 120, 138, 150, 159, 156, 142, 126, 112, 95, 78, 60, 39, 55, 28)(32, 54, 73, 63, 36, 57, 75, 91, 107, 123, 139, 153, 160, 157, 143, 127, 110, 96, 79, 61)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 118)(103, 120)(105, 123)(108, 122)(109, 126)(113, 127)(114, 128)(116, 125)(117, 134)(119, 136)(121, 139)(124, 138)(129, 144)(130, 143)(131, 142)(132, 145)(133, 148)(135, 150)(137, 153)(140, 152)(141, 155)(146, 156)(147, 157)(149, 158)(151, 160)(154, 159)
	local type(s) :: { ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.2101
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 8 e = 80 f = 40
	degree seq :: [ 20^8 ]

E17.2101 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 20})
Quotient :: regular
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|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 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * 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, 65, 59, 66)(58, 67, 60, 68)(61, 69, 63, 70)(62, 71, 64, 72)(73, 78, 75, 98)(74, 80, 76, 99)(77, 120, 91, 118)(79, 127, 84, 129)(81, 119, 104, 117)(82, 132, 83, 134)(85, 130, 95, 126)(86, 136, 87, 139)(88, 125, 92, 131)(89, 135, 90, 143)(93, 133, 94, 141)(96, 128, 97, 137)(100, 140, 101, 148)(102, 138, 103, 147)(105, 144, 106, 146)(107, 142, 108, 145)(109, 150, 110, 152)(111, 149, 112, 151)(113, 154, 114, 156)(115, 153, 116, 155)(121, 158, 122, 160)(123, 157, 124, 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, 40)(25, 41)(26, 42)(27, 43)(28, 39)(31, 44)(35, 45)(36, 46)(37, 47)(38, 48)(49, 57)(50, 58)(51, 59)(52, 60)(53, 61)(54, 62)(55, 63)(56, 64)(65, 73)(66, 74)(67, 75)(68, 76)(69, 117)(70, 118)(71, 119)(72, 120)(77, 125)(78, 126)(79, 128)(80, 130)(81, 131)(82, 133)(83, 135)(84, 136)(85, 137)(86, 138)(87, 140)(88, 141)(89, 142)(90, 144)(91, 132)(92, 143)(93, 145)(94, 146)(95, 139)(96, 147)(97, 148)(98, 129)(99, 127)(100, 149)(101, 150)(102, 151)(103, 152)(104, 134)(105, 153)(106, 154)(107, 155)(108, 156)(109, 157)(110, 158)(111, 159)(112, 160)(113, 121)(114, 123)(115, 122)(116, 124)
	local type(s) :: { ( 20^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2100
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 40 e = 80 f = 8
	degree seq :: [ 4^40 ]

E17.2102 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|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 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * 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, 73, 67, 74)(66, 75, 68, 76)(69, 83, 71, 97)(70, 85, 72, 100)(77, 130, 84, 132)(78, 127, 86, 123)(79, 136, 80, 138)(81, 141, 82, 142)(87, 139, 88, 151)(89, 125, 107, 121)(90, 135, 91, 144)(92, 143, 93, 157)(94, 148, 112, 145)(95, 137, 96, 140)(98, 129, 99, 156)(101, 133, 102, 153)(103, 152, 104, 155)(105, 147, 106, 131)(108, 158, 109, 154)(110, 150, 111, 134)(113, 160, 114, 149)(115, 159, 116, 146)(117, 128, 118, 126)(119, 124, 120, 122)(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, 194)(186, 192)(187, 197)(189, 195)(199, 209)(200, 210)(201, 211)(202, 212)(203, 208)(204, 213)(205, 214)(206, 215)(207, 216)(217, 225)(218, 226)(219, 227)(220, 228)(221, 229)(222, 230)(223, 231)(224, 232)(233, 281)(234, 283)(235, 285)(236, 287)(237, 289)(238, 293)(239, 295)(240, 299)(241, 297)(242, 303)(243, 305)(244, 301)(245, 308)(246, 296)(247, 307)(248, 312)(249, 313)(250, 291)(251, 315)(252, 310)(253, 318)(254, 316)(255, 294)(256, 314)(257, 292)(258, 300)(259, 317)(260, 290)(261, 304)(262, 311)(263, 319)(264, 320)(265, 306)(266, 309)(267, 298)(268, 284)(269, 288)(270, 282)(271, 286)(272, 302)(273, 277)(274, 279)(275, 278)(276, 280)
	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) :: { ( 40, 40 ), ( 40^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2106
Transitivity :: ET+
Graph:: simple bipartite
	v = 120 e = 160 f = 8
	degree seq :: [ 2^80, 4^40 ]

E17.2103 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, T1^4, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2^20 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 48, 64, 80, 96, 112, 128, 144, 132, 116, 100, 84, 68, 52, 32, 14, 5)(2, 7, 17, 38, 57, 73, 89, 105, 121, 137, 152, 140, 124, 108, 92, 76, 60, 44, 20, 8)(4, 12, 27, 49, 65, 81, 97, 113, 129, 145, 155, 141, 125, 109, 93, 77, 61, 45, 22, 9)(6, 15, 33, 53, 69, 85, 101, 117, 133, 148, 158, 149, 134, 118, 102, 86, 70, 54, 36, 16)(11, 26, 35, 31, 51, 67, 83, 99, 115, 131, 147, 156, 142, 126, 110, 94, 78, 62, 46, 23)(13, 29, 50, 66, 82, 98, 114, 130, 146, 157, 143, 127, 111, 95, 79, 63, 47, 25, 34, 30)(18, 40, 21, 43, 59, 75, 91, 107, 123, 139, 154, 159, 150, 135, 119, 103, 87, 71, 55, 37)(19, 41, 58, 74, 90, 106, 122, 138, 153, 160, 151, 136, 120, 104, 88, 72, 56, 39, 28, 42)(161, 162, 166, 164)(163, 169, 181, 171)(165, 173, 178, 167)(168, 179, 194, 175)(170, 183, 193, 185)(172, 176, 195, 188)(174, 191, 196, 189)(177, 197, 187, 199)(180, 203, 182, 201)(184, 207, 219, 204)(186, 200, 190, 202)(192, 209, 215, 211)(198, 216, 210, 214)(205, 213, 206, 218)(208, 220, 229, 221)(212, 217, 230, 225)(222, 235, 223, 234)(224, 237, 251, 238)(226, 232, 227, 231)(228, 242, 247, 233)(236, 250, 239, 245)(240, 254, 261, 255)(241, 246, 243, 248)(244, 259, 262, 258)(249, 263, 257, 264)(252, 267, 253, 266)(256, 271, 283, 268)(260, 273, 279, 275)(265, 280, 274, 278)(269, 277, 270, 282)(272, 284, 293, 285)(276, 281, 294, 289)(286, 299, 287, 298)(288, 301, 314, 302)(290, 296, 291, 295)(292, 306, 310, 297)(300, 313, 303, 308)(304, 316, 318, 317)(305, 309, 307, 311)(312, 319, 315, 320)
	L = (1, 161)(2, 162)(3, 163)(4, 164)(5, 165)(6, 166)(7, 167)(8, 168)(9, 169)(10, 170)(11, 171)(12, 172)(13, 173)(14, 174)(15, 175)(16, 176)(17, 177)(18, 178)(19, 179)(20, 180)(21, 181)(22, 182)(23, 183)(24, 184)(25, 185)(26, 186)(27, 187)(28, 188)(29, 189)(30, 190)(31, 191)(32, 192)(33, 193)(34, 194)(35, 195)(36, 196)(37, 197)(38, 198)(39, 199)(40, 200)(41, 201)(42, 202)(43, 203)(44, 204)(45, 205)(46, 206)(47, 207)(48, 208)(49, 209)(50, 210)(51, 211)(52, 212)(53, 213)(54, 214)(55, 215)(56, 216)(57, 217)(58, 218)(59, 219)(60, 220)(61, 221)(62, 222)(63, 223)(64, 224)(65, 225)(66, 226)(67, 227)(68, 228)(69, 229)(70, 230)(71, 231)(72, 232)(73, 233)(74, 234)(75, 235)(76, 236)(77, 237)(78, 238)(79, 239)(80, 240)(81, 241)(82, 242)(83, 243)(84, 244)(85, 245)(86, 246)(87, 247)(88, 248)(89, 249)(90, 250)(91, 251)(92, 252)(93, 253)(94, 254)(95, 255)(96, 256)(97, 257)(98, 258)(99, 259)(100, 260)(101, 261)(102, 262)(103, 263)(104, 264)(105, 265)(106, 266)(107, 267)(108, 268)(109, 269)(110, 270)(111, 271)(112, 272)(113, 273)(114, 274)(115, 275)(116, 276)(117, 277)(118, 278)(119, 279)(120, 280)(121, 281)(122, 282)(123, 283)(124, 284)(125, 285)(126, 286)(127, 287)(128, 288)(129, 289)(130, 290)(131, 291)(132, 292)(133, 293)(134, 294)(135, 295)(136, 296)(137, 297)(138, 298)(139, 299)(140, 300)(141, 301)(142, 302)(143, 303)(144, 304)(145, 305)(146, 306)(147, 307)(148, 308)(149, 309)(150, 310)(151, 311)(152, 312)(153, 313)(154, 314)(155, 315)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)
	local type(s) :: { ( 4^4 ), ( 4^20 ) }
Outer automorphisms :: reflexible
Dual of E17.2107
Transitivity :: ET+
Graph:: simple bipartite
	v = 48 e = 160 f = 80
	degree seq :: [ 4^40, 20^8 ]

E17.2104 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 20})
Quotient :: edge
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-4)^2, T1^20 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 53)(35, 47)(37, 56)(38, 61)(40, 63)(41, 62)(42, 55)(44, 59)(45, 69)(48, 71)(49, 73)(52, 75)(58, 74)(64, 80)(65, 79)(66, 78)(67, 81)(68, 86)(70, 88)(72, 91)(76, 90)(77, 94)(82, 95)(83, 96)(84, 98)(85, 102)(87, 104)(89, 107)(92, 106)(93, 110)(97, 112)(99, 111)(100, 115)(101, 118)(103, 120)(105, 123)(108, 122)(109, 126)(113, 127)(114, 128)(116, 125)(117, 134)(119, 136)(121, 139)(124, 138)(129, 144)(130, 143)(131, 142)(132, 145)(133, 148)(135, 150)(137, 153)(140, 152)(141, 155)(146, 156)(147, 157)(149, 158)(151, 160)(154, 159)(161, 162, 165, 171, 183, 205, 228, 245, 261, 277, 293, 292, 276, 260, 244, 227, 204, 182, 170, 164)(163, 167, 175, 191, 219, 237, 253, 269, 285, 301, 311, 295, 278, 268, 249, 230, 206, 197, 178, 168)(166, 173, 187, 213, 203, 226, 243, 259, 275, 291, 307, 309, 294, 284, 265, 247, 229, 218, 190, 174)(169, 179, 198, 224, 241, 257, 273, 289, 305, 314, 297, 279, 262, 252, 232, 208, 184, 207, 200, 180)(172, 185, 209, 202, 181, 201, 225, 242, 258, 274, 290, 306, 308, 300, 281, 263, 246, 236, 212, 186)(176, 193, 210, 189, 216, 231, 250, 264, 282, 296, 312, 318, 315, 304, 288, 271, 254, 240, 222, 194)(177, 195, 211, 234, 248, 266, 280, 298, 310, 319, 316, 302, 286, 272, 255, 238, 220, 199, 215, 188)(192, 214, 233, 223, 196, 217, 235, 251, 267, 283, 299, 313, 320, 317, 303, 287, 270, 256, 239, 221)
	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 ), ( 8^20 ) }
Outer automorphisms :: reflexible
Dual of E17.2105
Transitivity :: ET+
Graph:: simple bipartite
	v = 88 e = 160 f = 40
	degree seq :: [ 2^80, 20^8 ]

E17.2105 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|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 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * 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, 43, 203, 27, 187)(20, 180, 34, 194, 48, 208, 35, 195)(23, 183, 39, 199, 28, 188, 40, 200)(25, 185, 41, 201, 30, 190, 42, 202)(31, 191, 44, 204, 36, 196, 45, 205)(33, 193, 46, 206, 38, 198, 47, 207)(49, 209, 57, 217, 51, 211, 58, 218)(50, 210, 59, 219, 52, 212, 60, 220)(53, 213, 61, 221, 55, 215, 62, 222)(54, 214, 63, 223, 56, 216, 64, 224)(65, 225, 73, 233, 67, 227, 74, 234)(66, 226, 75, 235, 68, 228, 76, 236)(69, 229, 113, 273, 71, 231, 117, 277)(70, 230, 115, 275, 72, 232, 119, 279)(77, 237, 121, 281, 86, 246, 123, 283)(78, 238, 124, 284, 85, 245, 126, 286)(79, 239, 127, 287, 81, 241, 129, 289)(80, 240, 130, 290, 100, 260, 132, 292)(82, 242, 134, 294, 84, 244, 136, 296)(83, 243, 137, 297, 99, 259, 139, 299)(87, 247, 143, 303, 89, 249, 145, 305)(88, 248, 146, 306, 91, 251, 148, 308)(90, 250, 150, 310, 92, 252, 152, 312)(93, 253, 154, 314, 95, 255, 149, 309)(94, 254, 155, 315, 97, 257, 157, 317)(96, 256, 151, 311, 98, 258, 144, 304)(101, 261, 140, 300, 102, 262, 158, 318)(103, 263, 135, 295, 104, 264, 156, 316)(105, 265, 133, 293, 106, 266, 153, 313)(107, 267, 128, 288, 108, 268, 147, 307)(109, 269, 125, 285, 110, 270, 138, 298)(111, 271, 141, 301, 112, 272, 159, 319)(114, 274, 122, 282, 116, 276, 131, 291)(118, 278, 142, 302, 120, 280, 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, 194)(25, 174)(26, 192)(27, 197)(28, 176)(29, 195)(30, 177)(31, 178)(32, 186)(33, 179)(34, 184)(35, 189)(36, 181)(37, 187)(38, 182)(39, 209)(40, 210)(41, 211)(42, 212)(43, 208)(44, 213)(45, 214)(46, 215)(47, 216)(48, 203)(49, 199)(50, 200)(51, 201)(52, 202)(53, 204)(54, 205)(55, 206)(56, 207)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 217)(66, 218)(67, 219)(68, 220)(69, 221)(70, 222)(71, 223)(72, 224)(73, 260)(74, 246)(75, 240)(76, 237)(77, 236)(78, 279)(79, 281)(80, 235)(81, 290)(82, 284)(83, 275)(84, 297)(85, 277)(86, 234)(87, 287)(88, 283)(89, 306)(90, 289)(91, 292)(92, 308)(93, 294)(94, 286)(95, 315)(96, 296)(97, 299)(98, 317)(99, 273)(100, 233)(101, 303)(102, 310)(103, 305)(104, 312)(105, 314)(106, 311)(107, 309)(108, 304)(109, 300)(110, 295)(111, 318)(112, 316)(113, 259)(114, 293)(115, 243)(116, 288)(117, 245)(118, 313)(119, 238)(120, 307)(121, 239)(122, 319)(123, 248)(124, 242)(125, 320)(126, 254)(127, 247)(128, 276)(129, 250)(130, 241)(131, 298)(132, 251)(133, 274)(134, 253)(135, 270)(136, 256)(137, 244)(138, 291)(139, 257)(140, 269)(141, 302)(142, 301)(143, 261)(144, 268)(145, 263)(146, 249)(147, 280)(148, 252)(149, 267)(150, 262)(151, 266)(152, 264)(153, 278)(154, 265)(155, 255)(156, 272)(157, 258)(158, 271)(159, 282)(160, 285)
	local type(s) :: { ( 2, 20, 2, 20, 2, 20, 2, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2104
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 40 e = 160 f = 88
	degree seq :: [ 8^40 ]

E17.2106 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ F^2, (T1^-1 * T2^-1)^2, T1^4, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1, (T2 * T1^-1)^4, T2^20 ]
Map::
	R = (1, 161, 3, 163, 10, 170, 24, 184, 48, 208, 64, 224, 80, 240, 96, 256, 112, 272, 128, 288, 144, 304, 132, 292, 116, 276, 100, 260, 84, 244, 68, 228, 52, 212, 32, 192, 14, 174, 5, 165)(2, 162, 7, 167, 17, 177, 38, 198, 57, 217, 73, 233, 89, 249, 105, 265, 121, 281, 137, 297, 152, 312, 140, 300, 124, 284, 108, 268, 92, 252, 76, 236, 60, 220, 44, 204, 20, 180, 8, 168)(4, 164, 12, 172, 27, 187, 49, 209, 65, 225, 81, 241, 97, 257, 113, 273, 129, 289, 145, 305, 155, 315, 141, 301, 125, 285, 109, 269, 93, 253, 77, 237, 61, 221, 45, 205, 22, 182, 9, 169)(6, 166, 15, 175, 33, 193, 53, 213, 69, 229, 85, 245, 101, 261, 117, 277, 133, 293, 148, 308, 158, 318, 149, 309, 134, 294, 118, 278, 102, 262, 86, 246, 70, 230, 54, 214, 36, 196, 16, 176)(11, 171, 26, 186, 35, 195, 31, 191, 51, 211, 67, 227, 83, 243, 99, 259, 115, 275, 131, 291, 147, 307, 156, 316, 142, 302, 126, 286, 110, 270, 94, 254, 78, 238, 62, 222, 46, 206, 23, 183)(13, 173, 29, 189, 50, 210, 66, 226, 82, 242, 98, 258, 114, 274, 130, 290, 146, 306, 157, 317, 143, 303, 127, 287, 111, 271, 95, 255, 79, 239, 63, 223, 47, 207, 25, 185, 34, 194, 30, 190)(18, 178, 40, 200, 21, 181, 43, 203, 59, 219, 75, 235, 91, 251, 107, 267, 123, 283, 139, 299, 154, 314, 159, 319, 150, 310, 135, 295, 119, 279, 103, 263, 87, 247, 71, 231, 55, 215, 37, 197)(19, 179, 41, 201, 58, 218, 74, 234, 90, 250, 106, 266, 122, 282, 138, 298, 153, 313, 160, 320, 151, 311, 136, 296, 120, 280, 104, 264, 88, 248, 72, 232, 56, 216, 39, 199, 28, 188, 42, 202)
	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, 191)(15, 168)(16, 195)(17, 197)(18, 167)(19, 194)(20, 203)(21, 171)(22, 201)(23, 193)(24, 207)(25, 170)(26, 200)(27, 199)(28, 172)(29, 174)(30, 202)(31, 196)(32, 209)(33, 185)(34, 175)(35, 188)(36, 189)(37, 187)(38, 216)(39, 177)(40, 190)(41, 180)(42, 186)(43, 182)(44, 184)(45, 213)(46, 218)(47, 219)(48, 220)(49, 215)(50, 214)(51, 192)(52, 217)(53, 206)(54, 198)(55, 211)(56, 210)(57, 230)(58, 205)(59, 204)(60, 229)(61, 208)(62, 235)(63, 234)(64, 237)(65, 212)(66, 232)(67, 231)(68, 242)(69, 221)(70, 225)(71, 226)(72, 227)(73, 228)(74, 222)(75, 223)(76, 250)(77, 251)(78, 224)(79, 245)(80, 254)(81, 246)(82, 247)(83, 248)(84, 259)(85, 236)(86, 243)(87, 233)(88, 241)(89, 263)(90, 239)(91, 238)(92, 267)(93, 266)(94, 261)(95, 240)(96, 271)(97, 264)(98, 244)(99, 262)(100, 273)(101, 255)(102, 258)(103, 257)(104, 249)(105, 280)(106, 252)(107, 253)(108, 256)(109, 277)(110, 282)(111, 283)(112, 284)(113, 279)(114, 278)(115, 260)(116, 281)(117, 270)(118, 265)(119, 275)(120, 274)(121, 294)(122, 269)(123, 268)(124, 293)(125, 272)(126, 299)(127, 298)(128, 301)(129, 276)(130, 296)(131, 295)(132, 306)(133, 285)(134, 289)(135, 290)(136, 291)(137, 292)(138, 286)(139, 287)(140, 313)(141, 314)(142, 288)(143, 308)(144, 316)(145, 309)(146, 310)(147, 311)(148, 300)(149, 307)(150, 297)(151, 305)(152, 319)(153, 303)(154, 302)(155, 320)(156, 318)(157, 304)(158, 317)(159, 315)(160, 312)
	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 E17.2102
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 8 e = 160 f = 120
	degree seq :: [ 40^8 ]

E17.2107 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 20})
Quotient :: loop
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1, (T2 * T1^-4)^2, T1^20 ]
Map:: polytopal non-degenerate
	R = (1, 161, 3, 163)(2, 162, 6, 166)(4, 164, 9, 169)(5, 165, 12, 172)(7, 167, 16, 176)(8, 168, 17, 177)(10, 170, 21, 181)(11, 171, 24, 184)(13, 173, 28, 188)(14, 174, 29, 189)(15, 175, 32, 192)(18, 178, 36, 196)(19, 179, 39, 199)(20, 180, 33, 193)(22, 182, 43, 203)(23, 183, 46, 206)(25, 185, 50, 210)(26, 186, 51, 211)(27, 187, 54, 214)(30, 190, 57, 217)(31, 191, 60, 220)(34, 194, 53, 213)(35, 195, 47, 207)(37, 197, 56, 216)(38, 198, 61, 221)(40, 200, 63, 223)(41, 201, 62, 222)(42, 202, 55, 215)(44, 204, 59, 219)(45, 205, 69, 229)(48, 208, 71, 231)(49, 209, 73, 233)(52, 212, 75, 235)(58, 218, 74, 234)(64, 224, 80, 240)(65, 225, 79, 239)(66, 226, 78, 238)(67, 227, 81, 241)(68, 228, 86, 246)(70, 230, 88, 248)(72, 232, 91, 251)(76, 236, 90, 250)(77, 237, 94, 254)(82, 242, 95, 255)(83, 243, 96, 256)(84, 244, 98, 258)(85, 245, 102, 262)(87, 247, 104, 264)(89, 249, 107, 267)(92, 252, 106, 266)(93, 253, 110, 270)(97, 257, 112, 272)(99, 259, 111, 271)(100, 260, 115, 275)(101, 261, 118, 278)(103, 263, 120, 280)(105, 265, 123, 283)(108, 268, 122, 282)(109, 269, 126, 286)(113, 273, 127, 287)(114, 274, 128, 288)(116, 276, 125, 285)(117, 277, 134, 294)(119, 279, 136, 296)(121, 281, 139, 299)(124, 284, 138, 298)(129, 289, 144, 304)(130, 290, 143, 303)(131, 291, 142, 302)(132, 292, 145, 305)(133, 293, 148, 308)(135, 295, 150, 310)(137, 297, 153, 313)(140, 300, 152, 312)(141, 301, 155, 315)(146, 306, 156, 316)(147, 307, 157, 317)(149, 309, 158, 318)(151, 311, 160, 320)(154, 314, 159, 319)
	L = (1, 162)(2, 165)(3, 167)(4, 161)(5, 171)(6, 173)(7, 175)(8, 163)(9, 179)(10, 164)(11, 183)(12, 185)(13, 187)(14, 166)(15, 191)(16, 193)(17, 195)(18, 168)(19, 198)(20, 169)(21, 201)(22, 170)(23, 205)(24, 207)(25, 209)(26, 172)(27, 213)(28, 177)(29, 216)(30, 174)(31, 219)(32, 214)(33, 210)(34, 176)(35, 211)(36, 217)(37, 178)(38, 224)(39, 215)(40, 180)(41, 225)(42, 181)(43, 226)(44, 182)(45, 228)(46, 197)(47, 200)(48, 184)(49, 202)(50, 189)(51, 234)(52, 186)(53, 203)(54, 233)(55, 188)(56, 231)(57, 235)(58, 190)(59, 237)(60, 199)(61, 192)(62, 194)(63, 196)(64, 241)(65, 242)(66, 243)(67, 204)(68, 245)(69, 218)(70, 206)(71, 250)(72, 208)(73, 223)(74, 248)(75, 251)(76, 212)(77, 253)(78, 220)(79, 221)(80, 222)(81, 257)(82, 258)(83, 259)(84, 227)(85, 261)(86, 236)(87, 229)(88, 266)(89, 230)(90, 264)(91, 267)(92, 232)(93, 269)(94, 240)(95, 238)(96, 239)(97, 273)(98, 274)(99, 275)(100, 244)(101, 277)(102, 252)(103, 246)(104, 282)(105, 247)(106, 280)(107, 283)(108, 249)(109, 285)(110, 256)(111, 254)(112, 255)(113, 289)(114, 290)(115, 291)(116, 260)(117, 293)(118, 268)(119, 262)(120, 298)(121, 263)(122, 296)(123, 299)(124, 265)(125, 301)(126, 272)(127, 270)(128, 271)(129, 305)(130, 306)(131, 307)(132, 276)(133, 292)(134, 284)(135, 278)(136, 312)(137, 279)(138, 310)(139, 313)(140, 281)(141, 311)(142, 286)(143, 287)(144, 288)(145, 314)(146, 308)(147, 309)(148, 300)(149, 294)(150, 319)(151, 295)(152, 318)(153, 320)(154, 297)(155, 304)(156, 302)(157, 303)(158, 315)(159, 316)(160, 317)
	local type(s) :: { ( 4, 20, 4, 20 ) }
Outer automorphisms :: reflexible
Dual of E17.2103
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 80 e = 160 f = 48
	degree seq :: [ 4^80 ]

E17.2108 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^20 ]
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, 34, 194)(26, 186, 32, 192)(27, 187, 37, 197)(29, 189, 35, 195)(39, 199, 49, 209)(40, 200, 50, 210)(41, 201, 51, 211)(42, 202, 52, 212)(43, 203, 48, 208)(44, 204, 53, 213)(45, 205, 54, 214)(46, 206, 55, 215)(47, 207, 56, 216)(57, 217, 65, 225)(58, 218, 66, 226)(59, 219, 67, 227)(60, 220, 68, 228)(61, 221, 69, 229)(62, 222, 70, 230)(63, 223, 71, 231)(64, 224, 72, 232)(73, 233, 129, 289)(74, 234, 130, 290)(75, 235, 131, 291)(76, 236, 132, 292)(77, 237, 133, 293)(78, 238, 136, 296)(79, 239, 137, 297)(80, 240, 141, 301)(81, 241, 134, 294)(82, 242, 142, 302)(83, 243, 143, 303)(84, 244, 144, 304)(85, 245, 146, 306)(86, 246, 148, 308)(87, 247, 149, 309)(88, 248, 151, 311)(89, 249, 139, 299)(90, 250, 153, 313)(91, 251, 152, 312)(92, 252, 140, 300)(93, 253, 155, 315)(94, 254, 147, 307)(95, 255, 127, 287)(96, 256, 157, 317)(97, 257, 125, 285)(98, 258, 135, 295)(99, 259, 156, 316)(100, 260, 128, 288)(101, 261, 158, 318)(102, 262, 126, 286)(103, 263, 123, 283)(104, 264, 159, 319)(105, 265, 121, 281)(106, 266, 138, 298)(107, 267, 154, 314)(108, 268, 124, 284)(109, 269, 160, 320)(110, 270, 122, 282)(111, 271, 150, 310)(112, 272, 145, 305)(113, 273, 117, 277)(114, 274, 119, 279)(115, 275, 118, 278)(116, 276, 120, 280)(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, 363, 523, 347, 507)(340, 500, 354, 514, 368, 528, 355, 515)(343, 503, 359, 519, 348, 508, 360, 520)(345, 505, 361, 521, 350, 510, 362, 522)(351, 511, 364, 524, 356, 516, 365, 525)(353, 513, 366, 526, 358, 518, 367, 527)(369, 529, 377, 537, 371, 531, 378, 538)(370, 530, 379, 539, 372, 532, 380, 540)(373, 533, 381, 541, 375, 535, 382, 542)(374, 534, 383, 543, 376, 536, 384, 544)(385, 545, 393, 553, 387, 547, 394, 554)(386, 546, 395, 555, 388, 548, 396, 556)(389, 549, 410, 570, 391, 551, 409, 569)(390, 550, 413, 573, 392, 552, 412, 572)(397, 557, 454, 614, 404, 564, 455, 615)(398, 558, 457, 617, 407, 567, 458, 618)(399, 559, 459, 619, 400, 560, 460, 620)(401, 561, 450, 610, 402, 562, 452, 612)(403, 563, 464, 624, 416, 576, 465, 625)(405, 565, 453, 613, 421, 581, 467, 627)(406, 566, 469, 629, 424, 584, 470, 630)(408, 568, 456, 616, 429, 589, 472, 632)(411, 571, 461, 621, 431, 591, 474, 634)(414, 574, 462, 622, 432, 592, 476, 636)(415, 575, 477, 637, 420, 580, 478, 638)(417, 577, 463, 623, 422, 582, 466, 626)(418, 578, 449, 609, 419, 579, 451, 611)(423, 583, 479, 639, 428, 588, 480, 640)(425, 585, 468, 628, 430, 590, 471, 631)(426, 586, 473, 633, 427, 587, 475, 635)(433, 593, 448, 608, 435, 595, 446, 606)(434, 594, 447, 607, 436, 596, 445, 605)(437, 597, 444, 604, 439, 599, 442, 602)(438, 598, 443, 603, 440, 600, 441, 601)
	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, 354)(25, 334)(26, 352)(27, 357)(28, 336)(29, 355)(30, 337)(31, 338)(32, 346)(33, 339)(34, 344)(35, 349)(36, 341)(37, 347)(38, 342)(39, 369)(40, 370)(41, 371)(42, 372)(43, 368)(44, 373)(45, 374)(46, 375)(47, 376)(48, 363)(49, 359)(50, 360)(51, 361)(52, 362)(53, 364)(54, 365)(55, 366)(56, 367)(57, 385)(58, 386)(59, 387)(60, 388)(61, 389)(62, 390)(63, 391)(64, 392)(65, 377)(66, 378)(67, 379)(68, 380)(69, 381)(70, 382)(71, 383)(72, 384)(73, 449)(74, 450)(75, 451)(76, 452)(77, 453)(78, 456)(79, 457)(80, 461)(81, 454)(82, 462)(83, 463)(84, 464)(85, 466)(86, 468)(87, 469)(88, 471)(89, 459)(90, 473)(91, 472)(92, 460)(93, 475)(94, 467)(95, 447)(96, 477)(97, 445)(98, 455)(99, 476)(100, 448)(101, 478)(102, 446)(103, 443)(104, 479)(105, 441)(106, 458)(107, 474)(108, 444)(109, 480)(110, 442)(111, 470)(112, 465)(113, 437)(114, 439)(115, 438)(116, 440)(117, 433)(118, 435)(119, 434)(120, 436)(121, 425)(122, 430)(123, 423)(124, 428)(125, 417)(126, 422)(127, 415)(128, 420)(129, 393)(130, 394)(131, 395)(132, 396)(133, 397)(134, 401)(135, 418)(136, 398)(137, 399)(138, 426)(139, 409)(140, 412)(141, 400)(142, 402)(143, 403)(144, 404)(145, 432)(146, 405)(147, 414)(148, 406)(149, 407)(150, 431)(151, 408)(152, 411)(153, 410)(154, 427)(155, 413)(156, 419)(157, 416)(158, 421)(159, 424)(160, 429)(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, 40, 2, 40 ), ( 2, 40, 2, 40, 2, 40, 2, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.2111
Graph:: bipartite
	v = 120 e = 320 f = 168
	degree seq :: [ 4^80, 8^40 ]

E17.2109 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1^-1, Y2^-2 * Y1 * Y2^-1 * Y1^2 * Y2^-1 * Y1, Y2^20 ]
Map::
	R = (1, 161, 2, 162, 6, 166, 4, 164)(3, 163, 9, 169, 21, 181, 11, 171)(5, 165, 13, 173, 18, 178, 7, 167)(8, 168, 19, 179, 34, 194, 15, 175)(10, 170, 23, 183, 33, 193, 25, 185)(12, 172, 16, 176, 35, 195, 28, 188)(14, 174, 31, 191, 36, 196, 29, 189)(17, 177, 37, 197, 27, 187, 39, 199)(20, 180, 43, 203, 22, 182, 41, 201)(24, 184, 47, 207, 59, 219, 44, 204)(26, 186, 40, 200, 30, 190, 42, 202)(32, 192, 49, 209, 55, 215, 51, 211)(38, 198, 56, 216, 50, 210, 54, 214)(45, 205, 53, 213, 46, 206, 58, 218)(48, 208, 60, 220, 69, 229, 61, 221)(52, 212, 57, 217, 70, 230, 65, 225)(62, 222, 75, 235, 63, 223, 74, 234)(64, 224, 77, 237, 91, 251, 78, 238)(66, 226, 72, 232, 67, 227, 71, 231)(68, 228, 82, 242, 87, 247, 73, 233)(76, 236, 90, 250, 79, 239, 85, 245)(80, 240, 94, 254, 101, 261, 95, 255)(81, 241, 86, 246, 83, 243, 88, 248)(84, 244, 99, 259, 102, 262, 98, 258)(89, 249, 103, 263, 97, 257, 104, 264)(92, 252, 107, 267, 93, 253, 106, 266)(96, 256, 111, 271, 123, 283, 108, 268)(100, 260, 113, 273, 119, 279, 115, 275)(105, 265, 120, 280, 114, 274, 118, 278)(109, 269, 117, 277, 110, 270, 122, 282)(112, 272, 124, 284, 133, 293, 125, 285)(116, 276, 121, 281, 134, 294, 129, 289)(126, 286, 139, 299, 127, 287, 138, 298)(128, 288, 141, 301, 154, 314, 142, 302)(130, 290, 136, 296, 131, 291, 135, 295)(132, 292, 146, 306, 150, 310, 137, 297)(140, 300, 153, 313, 143, 303, 148, 308)(144, 304, 156, 316, 158, 318, 157, 317)(145, 305, 149, 309, 147, 307, 151, 311)(152, 312, 159, 319, 155, 315, 160, 320)(321, 481, 323, 483, 330, 490, 344, 504, 368, 528, 384, 544, 400, 560, 416, 576, 432, 592, 448, 608, 464, 624, 452, 612, 436, 596, 420, 580, 404, 564, 388, 548, 372, 532, 352, 512, 334, 494, 325, 485)(322, 482, 327, 487, 337, 497, 358, 518, 377, 537, 393, 553, 409, 569, 425, 585, 441, 601, 457, 617, 472, 632, 460, 620, 444, 604, 428, 588, 412, 572, 396, 556, 380, 540, 364, 524, 340, 500, 328, 488)(324, 484, 332, 492, 347, 507, 369, 529, 385, 545, 401, 561, 417, 577, 433, 593, 449, 609, 465, 625, 475, 635, 461, 621, 445, 605, 429, 589, 413, 573, 397, 557, 381, 541, 365, 525, 342, 502, 329, 489)(326, 486, 335, 495, 353, 513, 373, 533, 389, 549, 405, 565, 421, 581, 437, 597, 453, 613, 468, 628, 478, 638, 469, 629, 454, 614, 438, 598, 422, 582, 406, 566, 390, 550, 374, 534, 356, 516, 336, 496)(331, 491, 346, 506, 355, 515, 351, 511, 371, 531, 387, 547, 403, 563, 419, 579, 435, 595, 451, 611, 467, 627, 476, 636, 462, 622, 446, 606, 430, 590, 414, 574, 398, 558, 382, 542, 366, 526, 343, 503)(333, 493, 349, 509, 370, 530, 386, 546, 402, 562, 418, 578, 434, 594, 450, 610, 466, 626, 477, 637, 463, 623, 447, 607, 431, 591, 415, 575, 399, 559, 383, 543, 367, 527, 345, 505, 354, 514, 350, 510)(338, 498, 360, 520, 341, 501, 363, 523, 379, 539, 395, 555, 411, 571, 427, 587, 443, 603, 459, 619, 474, 634, 479, 639, 470, 630, 455, 615, 439, 599, 423, 583, 407, 567, 391, 551, 375, 535, 357, 517)(339, 499, 361, 521, 378, 538, 394, 554, 410, 570, 426, 586, 442, 602, 458, 618, 473, 633, 480, 640, 471, 631, 456, 616, 440, 600, 424, 584, 408, 568, 392, 552, 376, 536, 359, 519, 348, 508, 362, 522)
	L = (1, 323)(2, 327)(3, 330)(4, 332)(5, 321)(6, 335)(7, 337)(8, 322)(9, 324)(10, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 363)(22, 329)(23, 331)(24, 368)(25, 354)(26, 355)(27, 369)(28, 362)(29, 370)(30, 333)(31, 371)(32, 334)(33, 373)(34, 350)(35, 351)(36, 336)(37, 338)(38, 377)(39, 348)(40, 341)(41, 378)(42, 339)(43, 379)(44, 340)(45, 342)(46, 343)(47, 345)(48, 384)(49, 385)(50, 386)(51, 387)(52, 352)(53, 389)(54, 356)(55, 357)(56, 359)(57, 393)(58, 394)(59, 395)(60, 364)(61, 365)(62, 366)(63, 367)(64, 400)(65, 401)(66, 402)(67, 403)(68, 372)(69, 405)(70, 374)(71, 375)(72, 376)(73, 409)(74, 410)(75, 411)(76, 380)(77, 381)(78, 382)(79, 383)(80, 416)(81, 417)(82, 418)(83, 419)(84, 388)(85, 421)(86, 390)(87, 391)(88, 392)(89, 425)(90, 426)(91, 427)(92, 396)(93, 397)(94, 398)(95, 399)(96, 432)(97, 433)(98, 434)(99, 435)(100, 404)(101, 437)(102, 406)(103, 407)(104, 408)(105, 441)(106, 442)(107, 443)(108, 412)(109, 413)(110, 414)(111, 415)(112, 448)(113, 449)(114, 450)(115, 451)(116, 420)(117, 453)(118, 422)(119, 423)(120, 424)(121, 457)(122, 458)(123, 459)(124, 428)(125, 429)(126, 430)(127, 431)(128, 464)(129, 465)(130, 466)(131, 467)(132, 436)(133, 468)(134, 438)(135, 439)(136, 440)(137, 472)(138, 473)(139, 474)(140, 444)(141, 445)(142, 446)(143, 447)(144, 452)(145, 475)(146, 477)(147, 476)(148, 478)(149, 454)(150, 455)(151, 456)(152, 460)(153, 480)(154, 479)(155, 461)(156, 462)(157, 463)(158, 469)(159, 470)(160, 471)(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, 2, 4, 2, 4, 2, 4, 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 E17.2110
Graph:: bipartite
	v = 48 e = 320 f = 240
	degree seq :: [ 8^40, 40^8 ]

E17.2110 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, Y3 * Y2 * Y3^3 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^4 * Y2)^2, (Y3^-1 * Y1^-1)^20 ]
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, 341, 501)(332, 492, 345, 505)(334, 494, 349, 509)(335, 495, 348, 508)(336, 496, 352, 512)(338, 498, 356, 516)(339, 499, 358, 518)(340, 500, 343, 503)(342, 502, 363, 523)(344, 504, 366, 526)(346, 506, 370, 530)(347, 507, 372, 532)(350, 510, 377, 537)(351, 511, 368, 528)(353, 513, 375, 535)(354, 514, 365, 525)(355, 515, 373, 533)(357, 517, 378, 538)(359, 519, 369, 529)(360, 520, 376, 536)(361, 521, 367, 527)(362, 522, 374, 534)(364, 524, 371, 531)(379, 539, 393, 553)(380, 540, 389, 549)(381, 541, 394, 554)(382, 542, 395, 555)(383, 543, 397, 557)(384, 544, 388, 548)(385, 545, 390, 550)(386, 546, 391, 551)(387, 547, 401, 561)(392, 552, 405, 565)(396, 556, 409, 569)(398, 558, 411, 571)(399, 559, 410, 570)(400, 560, 414, 574)(402, 562, 407, 567)(403, 563, 406, 566)(404, 564, 418, 578)(408, 568, 422, 582)(412, 572, 426, 586)(413, 573, 427, 587)(415, 575, 425, 585)(416, 576, 431, 591)(417, 577, 423, 583)(419, 579, 421, 581)(420, 580, 435, 595)(424, 584, 439, 599)(428, 588, 443, 603)(429, 589, 442, 602)(430, 590, 441, 601)(432, 592, 444, 604)(433, 593, 438, 598)(434, 594, 437, 597)(436, 596, 440, 600)(445, 605, 457, 617)(446, 606, 458, 618)(447, 607, 459, 619)(448, 608, 461, 621)(449, 609, 453, 613)(450, 610, 454, 614)(451, 611, 455, 615)(452, 612, 465, 625)(456, 616, 468, 628)(460, 620, 472, 632)(462, 622, 474, 634)(463, 623, 473, 633)(464, 624, 476, 636)(466, 626, 470, 630)(467, 627, 469, 629)(471, 631, 479, 639)(475, 635, 478, 638)(477, 637, 480, 640)
	L = (1, 323)(2, 325)(3, 328)(4, 321)(5, 332)(6, 322)(7, 335)(8, 338)(9, 339)(10, 324)(11, 343)(12, 346)(13, 347)(14, 326)(15, 351)(16, 327)(17, 354)(18, 357)(19, 359)(20, 329)(21, 361)(22, 330)(23, 365)(24, 331)(25, 368)(26, 371)(27, 373)(28, 333)(29, 375)(30, 334)(31, 366)(32, 377)(33, 336)(34, 380)(35, 337)(36, 372)(37, 383)(38, 374)(39, 384)(40, 340)(41, 385)(42, 341)(43, 386)(44, 342)(45, 352)(46, 363)(47, 344)(48, 389)(49, 345)(50, 358)(51, 392)(52, 360)(53, 393)(54, 348)(55, 394)(56, 349)(57, 395)(58, 350)(59, 353)(60, 362)(61, 355)(62, 356)(63, 400)(64, 401)(65, 402)(66, 403)(67, 364)(68, 367)(69, 376)(70, 369)(71, 370)(72, 408)(73, 409)(74, 410)(75, 411)(76, 378)(77, 379)(78, 381)(79, 382)(80, 416)(81, 417)(82, 418)(83, 419)(84, 387)(85, 388)(86, 390)(87, 391)(88, 424)(89, 425)(90, 426)(91, 427)(92, 396)(93, 397)(94, 398)(95, 399)(96, 432)(97, 433)(98, 434)(99, 435)(100, 404)(101, 405)(102, 406)(103, 407)(104, 440)(105, 441)(106, 442)(107, 443)(108, 412)(109, 413)(110, 414)(111, 415)(112, 448)(113, 449)(114, 450)(115, 451)(116, 420)(117, 421)(118, 422)(119, 423)(120, 456)(121, 457)(122, 458)(123, 459)(124, 428)(125, 429)(126, 430)(127, 431)(128, 464)(129, 465)(130, 466)(131, 467)(132, 436)(133, 437)(134, 438)(135, 439)(136, 471)(137, 472)(138, 473)(139, 474)(140, 444)(141, 445)(142, 446)(143, 447)(144, 452)(145, 477)(146, 476)(147, 475)(148, 453)(149, 454)(150, 455)(151, 460)(152, 480)(153, 479)(154, 478)(155, 461)(156, 462)(157, 463)(158, 468)(159, 469)(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) :: { ( 8, 40 ), ( 8, 40, 8, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.2109
Graph:: simple bipartite
	v = 240 e = 320 f = 48
	degree seq :: [ 2^160, 4^80 ]

E17.2111 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (R * Y2 * Y3^-1)^2, (Y1^-1 * Y3^-1)^4, (Y3 * Y1^-1 * Y3^-1 * Y1^-1)^2, Y1 * Y3 * Y1^3 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-3, Y1^-1 * Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-1, Y1^20 ]
Map:: polytopal
	R = (1, 161, 2, 162, 5, 165, 11, 171, 23, 183, 45, 205, 68, 228, 85, 245, 101, 261, 117, 277, 133, 293, 132, 292, 116, 276, 100, 260, 84, 244, 67, 227, 44, 204, 22, 182, 10, 170, 4, 164)(3, 163, 7, 167, 15, 175, 31, 191, 59, 219, 77, 237, 93, 253, 109, 269, 125, 285, 141, 301, 151, 311, 135, 295, 118, 278, 108, 268, 89, 249, 70, 230, 46, 206, 37, 197, 18, 178, 8, 168)(6, 166, 13, 173, 27, 187, 53, 213, 43, 203, 66, 226, 83, 243, 99, 259, 115, 275, 131, 291, 147, 307, 149, 309, 134, 294, 124, 284, 105, 265, 87, 247, 69, 229, 58, 218, 30, 190, 14, 174)(9, 169, 19, 179, 38, 198, 64, 224, 81, 241, 97, 257, 113, 273, 129, 289, 145, 305, 154, 314, 137, 297, 119, 279, 102, 262, 92, 252, 72, 232, 48, 208, 24, 184, 47, 207, 40, 200, 20, 180)(12, 172, 25, 185, 49, 209, 42, 202, 21, 181, 41, 201, 65, 225, 82, 242, 98, 258, 114, 274, 130, 290, 146, 306, 148, 308, 140, 300, 121, 281, 103, 263, 86, 246, 76, 236, 52, 212, 26, 186)(16, 176, 33, 193, 50, 210, 29, 189, 56, 216, 71, 231, 90, 250, 104, 264, 122, 282, 136, 296, 152, 312, 158, 318, 155, 315, 144, 304, 128, 288, 111, 271, 94, 254, 80, 240, 62, 222, 34, 194)(17, 177, 35, 195, 51, 211, 74, 234, 88, 248, 106, 266, 120, 280, 138, 298, 150, 310, 159, 319, 156, 316, 142, 302, 126, 286, 112, 272, 95, 255, 78, 238, 60, 220, 39, 199, 55, 215, 28, 188)(32, 192, 54, 214, 73, 233, 63, 223, 36, 196, 57, 217, 75, 235, 91, 251, 107, 267, 123, 283, 139, 299, 153, 313, 160, 320, 157, 317, 143, 303, 127, 287, 110, 270, 96, 256, 79, 239, 61, 221)(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, 332)(6, 322)(7, 336)(8, 337)(9, 324)(10, 341)(11, 344)(12, 325)(13, 348)(14, 349)(15, 352)(16, 327)(17, 328)(18, 356)(19, 359)(20, 353)(21, 330)(22, 363)(23, 366)(24, 331)(25, 370)(26, 371)(27, 374)(28, 333)(29, 334)(30, 377)(31, 380)(32, 335)(33, 340)(34, 373)(35, 367)(36, 338)(37, 376)(38, 381)(39, 339)(40, 383)(41, 382)(42, 375)(43, 342)(44, 379)(45, 389)(46, 343)(47, 355)(48, 391)(49, 393)(50, 345)(51, 346)(52, 395)(53, 354)(54, 347)(55, 362)(56, 357)(57, 350)(58, 394)(59, 364)(60, 351)(61, 358)(62, 361)(63, 360)(64, 400)(65, 399)(66, 398)(67, 401)(68, 406)(69, 365)(70, 408)(71, 368)(72, 411)(73, 369)(74, 378)(75, 372)(76, 410)(77, 414)(78, 386)(79, 385)(80, 384)(81, 387)(82, 415)(83, 416)(84, 418)(85, 422)(86, 388)(87, 424)(88, 390)(89, 427)(90, 396)(91, 392)(92, 426)(93, 430)(94, 397)(95, 402)(96, 403)(97, 432)(98, 404)(99, 431)(100, 435)(101, 438)(102, 405)(103, 440)(104, 407)(105, 443)(106, 412)(107, 409)(108, 442)(109, 446)(110, 413)(111, 419)(112, 417)(113, 447)(114, 448)(115, 420)(116, 445)(117, 454)(118, 421)(119, 456)(120, 423)(121, 459)(122, 428)(123, 425)(124, 458)(125, 436)(126, 429)(127, 433)(128, 434)(129, 464)(130, 463)(131, 462)(132, 465)(133, 468)(134, 437)(135, 470)(136, 439)(137, 473)(138, 444)(139, 441)(140, 472)(141, 475)(142, 451)(143, 450)(144, 449)(145, 452)(146, 476)(147, 477)(148, 453)(149, 478)(150, 455)(151, 480)(152, 460)(153, 457)(154, 479)(155, 461)(156, 466)(157, 467)(158, 469)(159, 474)(160, 471)(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, 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 E17.2108
Graph:: simple bipartite
	v = 168 e = 320 f = 120
	degree seq :: [ 2^160, 40^8 ]

E17.2112 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1, (Y2^4 * Y1)^2, Y2^20 ]
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, 21, 181)(12, 172, 25, 185)(14, 174, 29, 189)(15, 175, 28, 188)(16, 176, 32, 192)(18, 178, 36, 196)(19, 179, 38, 198)(20, 180, 23, 183)(22, 182, 43, 203)(24, 184, 46, 206)(26, 186, 50, 210)(27, 187, 52, 212)(30, 190, 57, 217)(31, 191, 48, 208)(33, 193, 55, 215)(34, 194, 45, 205)(35, 195, 53, 213)(37, 197, 58, 218)(39, 199, 49, 209)(40, 200, 56, 216)(41, 201, 47, 207)(42, 202, 54, 214)(44, 204, 51, 211)(59, 219, 73, 233)(60, 220, 69, 229)(61, 221, 74, 234)(62, 222, 75, 235)(63, 223, 77, 237)(64, 224, 68, 228)(65, 225, 70, 230)(66, 226, 71, 231)(67, 227, 81, 241)(72, 232, 85, 245)(76, 236, 89, 249)(78, 238, 91, 251)(79, 239, 90, 250)(80, 240, 94, 254)(82, 242, 87, 247)(83, 243, 86, 246)(84, 244, 98, 258)(88, 248, 102, 262)(92, 252, 106, 266)(93, 253, 107, 267)(95, 255, 105, 265)(96, 256, 111, 271)(97, 257, 103, 263)(99, 259, 101, 261)(100, 260, 115, 275)(104, 264, 119, 279)(108, 268, 123, 283)(109, 269, 122, 282)(110, 270, 121, 281)(112, 272, 124, 284)(113, 273, 118, 278)(114, 274, 117, 277)(116, 276, 120, 280)(125, 285, 137, 297)(126, 286, 138, 298)(127, 287, 139, 299)(128, 288, 141, 301)(129, 289, 133, 293)(130, 290, 134, 294)(131, 291, 135, 295)(132, 292, 145, 305)(136, 296, 148, 308)(140, 300, 152, 312)(142, 302, 154, 314)(143, 303, 153, 313)(144, 304, 156, 316)(146, 306, 150, 310)(147, 307, 149, 309)(151, 311, 159, 319)(155, 315, 158, 318)(157, 317, 160, 320)(321, 481, 323, 483, 328, 488, 338, 498, 357, 517, 383, 543, 400, 560, 416, 576, 432, 592, 448, 608, 464, 624, 452, 612, 436, 596, 420, 580, 404, 564, 387, 547, 364, 524, 342, 502, 330, 490, 324, 484)(322, 482, 325, 485, 332, 492, 346, 506, 371, 531, 392, 552, 408, 568, 424, 584, 440, 600, 456, 616, 471, 631, 460, 620, 444, 604, 428, 588, 412, 572, 396, 556, 378, 538, 350, 510, 334, 494, 326, 486)(327, 487, 335, 495, 351, 511, 366, 526, 363, 523, 386, 546, 403, 563, 419, 579, 435, 595, 451, 611, 467, 627, 475, 635, 461, 621, 445, 605, 429, 589, 413, 573, 397, 557, 379, 539, 353, 513, 336, 496)(329, 489, 339, 499, 359, 519, 384, 544, 401, 561, 417, 577, 433, 593, 449, 609, 465, 625, 477, 637, 463, 623, 447, 607, 431, 591, 415, 575, 399, 559, 382, 542, 356, 516, 372, 532, 360, 520, 340, 500)(331, 491, 343, 503, 365, 525, 352, 512, 377, 537, 395, 555, 411, 571, 427, 587, 443, 603, 459, 619, 474, 634, 478, 638, 468, 628, 453, 613, 437, 597, 421, 581, 405, 565, 388, 548, 367, 527, 344, 504)(333, 493, 347, 507, 373, 533, 393, 553, 409, 569, 425, 585, 441, 601, 457, 617, 472, 632, 480, 640, 470, 630, 455, 615, 439, 599, 423, 583, 407, 567, 391, 551, 370, 530, 358, 518, 374, 534, 348, 508)(337, 497, 354, 514, 380, 540, 362, 522, 341, 501, 361, 521, 385, 545, 402, 562, 418, 578, 434, 594, 450, 610, 466, 626, 476, 636, 462, 622, 446, 606, 430, 590, 414, 574, 398, 558, 381, 541, 355, 515)(345, 505, 368, 528, 389, 549, 376, 536, 349, 509, 375, 535, 394, 554, 410, 570, 426, 586, 442, 602, 458, 618, 473, 633, 479, 639, 469, 629, 454, 614, 438, 598, 422, 582, 406, 566, 390, 550, 369, 529)
	L = (1, 322)(2, 321)(3, 327)(4, 329)(5, 331)(6, 333)(7, 323)(8, 337)(9, 324)(10, 341)(11, 325)(12, 345)(13, 326)(14, 349)(15, 348)(16, 352)(17, 328)(18, 356)(19, 358)(20, 343)(21, 330)(22, 363)(23, 340)(24, 366)(25, 332)(26, 370)(27, 372)(28, 335)(29, 334)(30, 377)(31, 368)(32, 336)(33, 375)(34, 365)(35, 373)(36, 338)(37, 378)(38, 339)(39, 369)(40, 376)(41, 367)(42, 374)(43, 342)(44, 371)(45, 354)(46, 344)(47, 361)(48, 351)(49, 359)(50, 346)(51, 364)(52, 347)(53, 355)(54, 362)(55, 353)(56, 360)(57, 350)(58, 357)(59, 393)(60, 389)(61, 394)(62, 395)(63, 397)(64, 388)(65, 390)(66, 391)(67, 401)(68, 384)(69, 380)(70, 385)(71, 386)(72, 405)(73, 379)(74, 381)(75, 382)(76, 409)(77, 383)(78, 411)(79, 410)(80, 414)(81, 387)(82, 407)(83, 406)(84, 418)(85, 392)(86, 403)(87, 402)(88, 422)(89, 396)(90, 399)(91, 398)(92, 426)(93, 427)(94, 400)(95, 425)(96, 431)(97, 423)(98, 404)(99, 421)(100, 435)(101, 419)(102, 408)(103, 417)(104, 439)(105, 415)(106, 412)(107, 413)(108, 443)(109, 442)(110, 441)(111, 416)(112, 444)(113, 438)(114, 437)(115, 420)(116, 440)(117, 434)(118, 433)(119, 424)(120, 436)(121, 430)(122, 429)(123, 428)(124, 432)(125, 457)(126, 458)(127, 459)(128, 461)(129, 453)(130, 454)(131, 455)(132, 465)(133, 449)(134, 450)(135, 451)(136, 468)(137, 445)(138, 446)(139, 447)(140, 472)(141, 448)(142, 474)(143, 473)(144, 476)(145, 452)(146, 470)(147, 469)(148, 456)(149, 467)(150, 466)(151, 479)(152, 460)(153, 463)(154, 462)(155, 478)(156, 464)(157, 480)(158, 475)(159, 471)(160, 477)(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, 2, 8, 2, 8, 2, 8, 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 E17.2113
Graph:: bipartite
	v = 88 e = 320 f = 200
	degree seq :: [ 4^80, 40^8 ]

E17.2113 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 20})
Quotient :: dipole
Aut^+ = (C5 x ((C4 x C2) : C2)) : C2 (small group id <160, 13>)
Aut   = $<320, 368>$ (small group id <320, 368>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1, Y3^-2 * Y1^-2 * Y3^2 * Y1^-2, (Y1^-1 * Y3)^4, (Y3^-3 * Y1)^2, (Y3 * Y2^-1)^20 ]
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, 34, 194, 15, 175)(10, 170, 23, 183, 33, 193, 25, 185)(12, 172, 16, 176, 35, 195, 28, 188)(14, 174, 31, 191, 36, 196, 29, 189)(17, 177, 37, 197, 27, 187, 39, 199)(20, 180, 43, 203, 22, 182, 41, 201)(24, 184, 47, 207, 59, 219, 44, 204)(26, 186, 40, 200, 30, 190, 42, 202)(32, 192, 49, 209, 55, 215, 51, 211)(38, 198, 56, 216, 50, 210, 54, 214)(45, 205, 53, 213, 46, 206, 58, 218)(48, 208, 60, 220, 69, 229, 61, 221)(52, 212, 57, 217, 70, 230, 65, 225)(62, 222, 75, 235, 63, 223, 74, 234)(64, 224, 77, 237, 91, 251, 78, 238)(66, 226, 72, 232, 67, 227, 71, 231)(68, 228, 82, 242, 87, 247, 73, 233)(76, 236, 90, 250, 79, 239, 85, 245)(80, 240, 94, 254, 101, 261, 95, 255)(81, 241, 86, 246, 83, 243, 88, 248)(84, 244, 99, 259, 102, 262, 98, 258)(89, 249, 103, 263, 97, 257, 104, 264)(92, 252, 107, 267, 93, 253, 106, 266)(96, 256, 111, 271, 123, 283, 108, 268)(100, 260, 113, 273, 119, 279, 115, 275)(105, 265, 120, 280, 114, 274, 118, 278)(109, 269, 117, 277, 110, 270, 122, 282)(112, 272, 124, 284, 133, 293, 125, 285)(116, 276, 121, 281, 134, 294, 129, 289)(126, 286, 139, 299, 127, 287, 138, 298)(128, 288, 141, 301, 154, 314, 142, 302)(130, 290, 136, 296, 131, 291, 135, 295)(132, 292, 146, 306, 150, 310, 137, 297)(140, 300, 153, 313, 143, 303, 148, 308)(144, 304, 156, 316, 158, 318, 157, 317)(145, 305, 149, 309, 147, 307, 151, 311)(152, 312, 159, 319, 155, 315, 160, 320)(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, 344)(11, 346)(12, 347)(13, 349)(14, 325)(15, 353)(16, 326)(17, 358)(18, 360)(19, 361)(20, 328)(21, 363)(22, 329)(23, 331)(24, 368)(25, 354)(26, 355)(27, 369)(28, 362)(29, 370)(30, 333)(31, 371)(32, 334)(33, 373)(34, 350)(35, 351)(36, 336)(37, 338)(38, 377)(39, 348)(40, 341)(41, 378)(42, 339)(43, 379)(44, 340)(45, 342)(46, 343)(47, 345)(48, 384)(49, 385)(50, 386)(51, 387)(52, 352)(53, 389)(54, 356)(55, 357)(56, 359)(57, 393)(58, 394)(59, 395)(60, 364)(61, 365)(62, 366)(63, 367)(64, 400)(65, 401)(66, 402)(67, 403)(68, 372)(69, 405)(70, 374)(71, 375)(72, 376)(73, 409)(74, 410)(75, 411)(76, 380)(77, 381)(78, 382)(79, 383)(80, 416)(81, 417)(82, 418)(83, 419)(84, 388)(85, 421)(86, 390)(87, 391)(88, 392)(89, 425)(90, 426)(91, 427)(92, 396)(93, 397)(94, 398)(95, 399)(96, 432)(97, 433)(98, 434)(99, 435)(100, 404)(101, 437)(102, 406)(103, 407)(104, 408)(105, 441)(106, 442)(107, 443)(108, 412)(109, 413)(110, 414)(111, 415)(112, 448)(113, 449)(114, 450)(115, 451)(116, 420)(117, 453)(118, 422)(119, 423)(120, 424)(121, 457)(122, 458)(123, 459)(124, 428)(125, 429)(126, 430)(127, 431)(128, 464)(129, 465)(130, 466)(131, 467)(132, 436)(133, 468)(134, 438)(135, 439)(136, 440)(137, 472)(138, 473)(139, 474)(140, 444)(141, 445)(142, 446)(143, 447)(144, 452)(145, 475)(146, 477)(147, 476)(148, 478)(149, 454)(150, 455)(151, 456)(152, 460)(153, 480)(154, 479)(155, 461)(156, 462)(157, 463)(158, 469)(159, 470)(160, 471)(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, 40 ), ( 4, 40, 4, 40, 4, 40, 4, 40 ) }
Outer automorphisms :: reflexible
Dual of E17.2112
Graph:: simple bipartite
	v = 200 e = 320 f = 88
	degree seq :: [ 2^160, 8^40 ]

E17.2114 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 7})
Quotient :: edge
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (F * T1)^2, (T2^-1 * T1^-1)^3, T2^7, (T1 * T2^-3)^2, (T2 * T1^-1)^4, (T2^2 * T1^-1 * T2^-1 * T1^-1)^2, T2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1^-1 * T2, T2^-1 * T1 * T2^-2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2 * T1, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 25, 39, 15, 5)(2, 6, 17, 42, 51, 21, 7)(4, 11, 30, 67, 75, 33, 12)(8, 22, 52, 107, 85, 55, 23)(10, 27, 62, 37, 83, 64, 28)(13, 34, 77, 60, 26, 59, 35)(14, 36, 81, 58, 88, 40, 16)(18, 44, 95, 49, 104, 97, 45)(19, 46, 99, 93, 43, 92, 47)(20, 48, 102, 91, 125, 65, 29)(24, 56, 114, 76, 38, 84, 57)(31, 69, 129, 73, 134, 131, 70)(32, 71, 133, 112, 68, 128, 72)(41, 89, 146, 98, 50, 105, 90)(53, 109, 136, 160, 108, 159, 110)(54, 111, 149, 141, 155, 101, 61)(63, 120, 166, 142, 119, 165, 121)(66, 126, 163, 132, 74, 135, 127)(78, 96, 152, 116, 115, 151, 137)(79, 124, 164, 117, 156, 138, 80)(82, 118, 144, 86, 143, 122, 140)(87, 145, 113, 139, 158, 106, 94)(100, 130, 161, 148, 147, 168, 154)(103, 150, 167, 123, 162, 153, 157)(169, 170, 172)(171, 176, 178)(173, 181, 182)(174, 184, 186)(175, 187, 188)(177, 192, 194)(179, 197, 199)(180, 200, 190)(183, 205, 206)(185, 209, 211)(189, 217, 218)(191, 221, 222)(193, 226, 219)(195, 229, 215)(196, 231, 224)(198, 234, 236)(201, 241, 242)(202, 244, 246)(203, 237, 247)(204, 248, 250)(207, 235, 253)(208, 254, 255)(210, 259, 243)(212, 262, 240)(213, 264, 257)(214, 266, 268)(216, 269, 271)(220, 274, 276)(223, 280, 281)(225, 273, 283)(227, 284, 278)(228, 285, 256)(230, 286, 287)(232, 267, 290)(233, 291, 292)(238, 298, 294)(239, 300, 289)(245, 304, 299)(249, 307, 272)(251, 275, 309)(252, 310, 295)(258, 303, 315)(260, 316, 312)(261, 317, 293)(263, 318, 319)(265, 301, 321)(270, 324, 302)(277, 313, 329)(279, 320, 330)(282, 331, 314)(288, 311, 332)(296, 334, 335)(297, 327, 336)(305, 323, 328)(306, 325, 333)(308, 322, 326)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^3 ), ( 6^7 ) }
Outer automorphisms :: reflexible
Dual of E17.2115
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 168 f = 56
	degree seq :: [ 3^56, 7^24 ]

E17.2115 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 7})
Quotient :: loop
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^4, T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1, (T2^-1, T1^-1)^3, T2 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1, (T2^-1 * T1^-1)^7 ]
Map:: polytopal non-degenerate
	R = (1, 169, 3, 171, 5, 173)(2, 170, 6, 174, 7, 175)(4, 172, 10, 178, 11, 179)(8, 176, 18, 186, 19, 187)(9, 177, 20, 188, 21, 189)(12, 180, 26, 194, 27, 195)(13, 181, 28, 196, 29, 197)(14, 182, 30, 198, 31, 199)(15, 183, 32, 200, 33, 201)(16, 184, 34, 202, 35, 203)(17, 185, 36, 204, 37, 205)(22, 190, 45, 213, 46, 214)(23, 191, 47, 215, 48, 216)(24, 192, 49, 217, 50, 218)(25, 193, 51, 219, 52, 220)(38, 206, 73, 241, 74, 242)(39, 207, 75, 243, 76, 244)(40, 208, 77, 245, 57, 225)(41, 209, 78, 246, 79, 247)(42, 210, 80, 248, 81, 249)(43, 211, 82, 250, 83, 251)(44, 212, 84, 252, 85, 253)(53, 221, 98, 266, 99, 267)(54, 222, 100, 268, 101, 269)(55, 223, 102, 270, 103, 271)(56, 224, 104, 272, 105, 273)(58, 226, 106, 274, 107, 275)(59, 227, 108, 276, 109, 277)(60, 228, 110, 278, 111, 279)(61, 229, 112, 280, 113, 281)(62, 230, 114, 282, 70, 238)(63, 231, 115, 283, 116, 284)(64, 232, 117, 285, 118, 286)(65, 233, 119, 287, 120, 288)(66, 234, 121, 289, 122, 290)(67, 235, 123, 291, 124, 292)(68, 236, 125, 293, 126, 294)(69, 237, 127, 295, 128, 296)(71, 239, 129, 297, 130, 298)(72, 240, 131, 299, 132, 300)(86, 254, 147, 315, 148, 316)(87, 255, 143, 311, 149, 317)(88, 256, 137, 305, 95, 263)(89, 257, 144, 312, 150, 318)(90, 258, 145, 313, 142, 310)(91, 259, 138, 306, 134, 302)(92, 260, 151, 319, 152, 320)(93, 261, 141, 309, 153, 321)(94, 262, 154, 322, 155, 323)(96, 264, 156, 324, 140, 308)(97, 265, 157, 325, 158, 326)(133, 301, 164, 332, 163, 331)(135, 303, 162, 330, 166, 334)(136, 304, 161, 329, 165, 333)(139, 307, 167, 335, 159, 327)(146, 314, 168, 336, 160, 328)
	L = (1, 170)(2, 172)(3, 176)(4, 169)(5, 180)(6, 182)(7, 184)(8, 177)(9, 171)(10, 190)(11, 192)(12, 181)(13, 173)(14, 183)(15, 174)(16, 185)(17, 175)(18, 206)(19, 208)(20, 210)(21, 211)(22, 191)(23, 178)(24, 193)(25, 179)(26, 221)(27, 215)(28, 224)(29, 226)(30, 228)(31, 230)(32, 232)(33, 233)(34, 235)(35, 188)(36, 237)(37, 239)(38, 207)(39, 186)(40, 209)(41, 187)(42, 203)(43, 212)(44, 189)(45, 254)(46, 256)(47, 223)(48, 258)(49, 260)(50, 200)(51, 262)(52, 264)(53, 222)(54, 194)(55, 195)(56, 225)(57, 196)(58, 227)(59, 197)(60, 229)(61, 198)(62, 231)(63, 199)(64, 218)(65, 234)(66, 201)(67, 236)(68, 202)(69, 238)(70, 204)(71, 240)(72, 205)(73, 301)(74, 302)(75, 286)(76, 297)(77, 305)(78, 287)(79, 295)(80, 308)(81, 310)(82, 289)(83, 243)(84, 283)(85, 314)(86, 255)(87, 213)(88, 257)(89, 214)(90, 259)(91, 216)(92, 261)(93, 217)(94, 263)(95, 219)(96, 265)(97, 220)(98, 325)(99, 294)(100, 285)(101, 296)(102, 298)(103, 288)(104, 328)(105, 292)(106, 329)(107, 268)(108, 330)(109, 315)(110, 332)(111, 253)(112, 271)(113, 324)(114, 245)(115, 313)(116, 322)(117, 275)(118, 251)(119, 306)(120, 280)(121, 312)(122, 335)(123, 276)(124, 321)(125, 270)(126, 323)(127, 307)(128, 320)(129, 304)(130, 293)(131, 336)(132, 241)(133, 300)(134, 303)(135, 242)(136, 244)(137, 282)(138, 246)(139, 247)(140, 309)(141, 248)(142, 311)(143, 249)(144, 250)(145, 252)(146, 279)(147, 331)(148, 290)(149, 274)(150, 272)(151, 299)(152, 269)(153, 273)(154, 334)(155, 267)(156, 333)(157, 327)(158, 278)(159, 266)(160, 318)(161, 317)(162, 291)(163, 277)(164, 326)(165, 281)(166, 284)(167, 316)(168, 319)
	local type(s) :: { ( 3, 7, 3, 7, 3, 7 ) }
Outer automorphisms :: reflexible
Dual of E17.2114
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 56 e = 168 f = 80
	degree seq :: [ 6^56 ]

E17.2116 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2^7, (Y1 * Y2^-3)^2, (Y2 * Y1^-1)^4, (Y2^2 * Y1^-1 * Y2^-1 * Y1^-1)^2, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-2 * Y1^-1 * Y2, Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2^-1, Y1^-1)^3 ]
Map::
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 10, 178)(5, 173, 13, 181, 14, 182)(6, 174, 16, 184, 18, 186)(7, 175, 19, 187, 20, 188)(9, 177, 24, 192, 26, 194)(11, 179, 29, 197, 31, 199)(12, 180, 32, 200, 22, 190)(15, 183, 37, 205, 38, 206)(17, 185, 41, 209, 43, 211)(21, 189, 49, 217, 50, 218)(23, 191, 53, 221, 54, 222)(25, 193, 58, 226, 51, 219)(27, 195, 61, 229, 47, 215)(28, 196, 63, 231, 56, 224)(30, 198, 66, 234, 68, 236)(33, 201, 73, 241, 74, 242)(34, 202, 76, 244, 78, 246)(35, 203, 69, 237, 79, 247)(36, 204, 80, 248, 82, 250)(39, 207, 67, 235, 85, 253)(40, 208, 86, 254, 87, 255)(42, 210, 91, 259, 75, 243)(44, 212, 94, 262, 72, 240)(45, 213, 96, 264, 89, 257)(46, 214, 98, 266, 100, 268)(48, 216, 101, 269, 103, 271)(52, 220, 106, 274, 108, 276)(55, 223, 112, 280, 113, 281)(57, 225, 105, 273, 115, 283)(59, 227, 116, 284, 110, 278)(60, 228, 117, 285, 88, 256)(62, 230, 118, 286, 119, 287)(64, 232, 99, 267, 122, 290)(65, 233, 123, 291, 124, 292)(70, 238, 130, 298, 126, 294)(71, 239, 132, 300, 121, 289)(77, 245, 136, 304, 131, 299)(81, 249, 139, 307, 104, 272)(83, 251, 107, 275, 141, 309)(84, 252, 142, 310, 127, 295)(90, 258, 135, 303, 147, 315)(92, 260, 148, 316, 144, 312)(93, 261, 149, 317, 125, 293)(95, 263, 150, 318, 151, 319)(97, 265, 133, 301, 153, 321)(102, 270, 156, 324, 134, 302)(109, 277, 145, 313, 161, 329)(111, 279, 152, 320, 162, 330)(114, 282, 163, 331, 146, 314)(120, 288, 143, 311, 164, 332)(128, 296, 166, 334, 167, 335)(129, 297, 159, 327, 168, 336)(137, 305, 155, 323, 160, 328)(138, 306, 157, 325, 165, 333)(140, 308, 154, 322, 158, 326)(337, 505, 339, 507, 345, 513, 361, 529, 375, 543, 351, 519, 341, 509)(338, 506, 342, 510, 353, 521, 378, 546, 387, 555, 357, 525, 343, 511)(340, 508, 347, 515, 366, 534, 403, 571, 411, 579, 369, 537, 348, 516)(344, 512, 358, 526, 388, 556, 443, 611, 421, 589, 391, 559, 359, 527)(346, 514, 363, 531, 398, 566, 373, 541, 419, 587, 400, 568, 364, 532)(349, 517, 370, 538, 413, 581, 396, 564, 362, 530, 395, 563, 371, 539)(350, 518, 372, 540, 417, 585, 394, 562, 424, 592, 376, 544, 352, 520)(354, 522, 380, 548, 431, 599, 385, 553, 440, 608, 433, 601, 381, 549)(355, 523, 382, 550, 435, 603, 429, 597, 379, 547, 428, 596, 383, 551)(356, 524, 384, 552, 438, 606, 427, 595, 461, 629, 401, 569, 365, 533)(360, 528, 392, 560, 450, 618, 412, 580, 374, 542, 420, 588, 393, 561)(367, 535, 405, 573, 465, 633, 409, 577, 470, 638, 467, 635, 406, 574)(368, 536, 407, 575, 469, 637, 448, 616, 404, 572, 464, 632, 408, 576)(377, 545, 425, 593, 482, 650, 434, 602, 386, 554, 441, 609, 426, 594)(389, 557, 445, 613, 472, 640, 496, 664, 444, 612, 495, 663, 446, 614)(390, 558, 447, 615, 485, 653, 477, 645, 491, 659, 437, 605, 397, 565)(399, 567, 456, 624, 502, 670, 478, 646, 455, 623, 501, 669, 457, 625)(402, 570, 462, 630, 499, 667, 468, 636, 410, 578, 471, 639, 463, 631)(414, 582, 432, 600, 488, 656, 452, 620, 451, 619, 487, 655, 473, 641)(415, 583, 460, 628, 500, 668, 453, 621, 492, 660, 474, 642, 416, 584)(418, 586, 454, 622, 480, 648, 422, 590, 479, 647, 458, 626, 476, 644)(423, 591, 481, 649, 449, 617, 475, 643, 494, 662, 442, 610, 430, 598)(436, 604, 466, 634, 497, 665, 484, 652, 483, 651, 504, 672, 490, 658)(439, 607, 486, 654, 503, 671, 459, 627, 498, 666, 489, 657, 493, 661)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 353)(7, 338)(8, 358)(9, 361)(10, 363)(11, 366)(12, 340)(13, 370)(14, 372)(15, 341)(16, 350)(17, 378)(18, 380)(19, 382)(20, 384)(21, 343)(22, 388)(23, 344)(24, 392)(25, 375)(26, 395)(27, 398)(28, 346)(29, 356)(30, 403)(31, 405)(32, 407)(33, 348)(34, 413)(35, 349)(36, 417)(37, 419)(38, 420)(39, 351)(40, 352)(41, 425)(42, 387)(43, 428)(44, 431)(45, 354)(46, 435)(47, 355)(48, 438)(49, 440)(50, 441)(51, 357)(52, 443)(53, 445)(54, 447)(55, 359)(56, 450)(57, 360)(58, 424)(59, 371)(60, 362)(61, 390)(62, 373)(63, 456)(64, 364)(65, 365)(66, 462)(67, 411)(68, 464)(69, 465)(70, 367)(71, 469)(72, 368)(73, 470)(74, 471)(75, 369)(76, 374)(77, 396)(78, 432)(79, 460)(80, 415)(81, 394)(82, 454)(83, 400)(84, 393)(85, 391)(86, 479)(87, 481)(88, 376)(89, 482)(90, 377)(91, 461)(92, 383)(93, 379)(94, 423)(95, 385)(96, 488)(97, 381)(98, 386)(99, 429)(100, 466)(101, 397)(102, 427)(103, 486)(104, 433)(105, 426)(106, 430)(107, 421)(108, 495)(109, 472)(110, 389)(111, 485)(112, 404)(113, 475)(114, 412)(115, 487)(116, 451)(117, 492)(118, 480)(119, 501)(120, 502)(121, 399)(122, 476)(123, 498)(124, 500)(125, 401)(126, 499)(127, 402)(128, 408)(129, 409)(130, 497)(131, 406)(132, 410)(133, 448)(134, 467)(135, 463)(136, 496)(137, 414)(138, 416)(139, 494)(140, 418)(141, 491)(142, 455)(143, 458)(144, 422)(145, 449)(146, 434)(147, 504)(148, 483)(149, 477)(150, 503)(151, 473)(152, 452)(153, 493)(154, 436)(155, 437)(156, 474)(157, 439)(158, 442)(159, 446)(160, 444)(161, 484)(162, 489)(163, 468)(164, 453)(165, 457)(166, 478)(167, 459)(168, 490)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2117
Graph:: bipartite
	v = 80 e = 336 f = 224
	degree seq :: [ 6^56, 14^24 ]

E17.2117 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 7})
Quotient :: dipole
Aut^+ = PSL(3,2) (small group id <168, 42>)
Aut   = PSL(3,2) : C2 (small group id <336, 208>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, Y3^7, (Y3^-1 * Y2^-1)^4, (Y3^-2 * Y2^-1 * Y3^-1)^2, Y3^4 * Y2^-1 * Y3^-3 * Y2^-1, Y3 * Y2 * Y3^2 * Y2^-1 * Y3^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y3, Y3^-1 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1, (Y3^-1 * Y1^-1)^7 ]
Map:: polytopal
	R = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)(337, 505, 338, 506, 340, 508)(339, 507, 344, 512, 346, 514)(341, 509, 349, 517, 350, 518)(342, 510, 352, 520, 354, 522)(343, 511, 355, 523, 356, 524)(345, 513, 360, 528, 362, 530)(347, 515, 364, 532, 366, 534)(348, 516, 367, 535, 368, 536)(351, 519, 373, 541, 374, 542)(353, 521, 378, 546, 380, 548)(357, 525, 385, 553, 386, 554)(358, 526, 388, 556, 390, 558)(359, 527, 391, 559, 392, 560)(361, 529, 396, 564, 397, 565)(363, 531, 399, 567, 400, 568)(365, 533, 404, 572, 406, 574)(369, 537, 410, 578, 411, 579)(370, 538, 412, 580, 414, 582)(371, 539, 415, 583, 417, 585)(372, 540, 418, 586, 376, 544)(375, 543, 421, 589, 379, 547)(377, 545, 423, 591, 424, 592)(381, 549, 429, 597, 430, 598)(382, 550, 432, 600, 434, 602)(383, 551, 435, 603, 437, 605)(384, 552, 438, 606, 402, 570)(387, 555, 441, 609, 405, 573)(389, 557, 443, 611, 444, 612)(393, 561, 448, 616, 449, 617)(394, 562, 450, 618, 451, 619)(395, 563, 452, 620, 453, 621)(398, 566, 454, 622, 455, 623)(401, 569, 458, 626, 427, 595)(403, 571, 460, 628, 461, 629)(407, 575, 465, 633, 466, 634)(408, 576, 467, 635, 445, 613)(409, 577, 469, 637, 470, 638)(413, 581, 471, 639, 473, 641)(416, 584, 425, 593, 476, 644)(419, 587, 428, 596, 477, 645)(420, 588, 478, 646, 433, 601)(422, 590, 479, 647, 480, 648)(426, 594, 483, 651, 484, 652)(431, 599, 487, 655, 463, 631)(436, 604, 462, 630, 491, 659)(439, 607, 464, 632, 492, 660)(440, 608, 493, 661, 468, 636)(442, 610, 494, 662, 495, 663)(446, 614, 497, 665, 481, 649)(447, 615, 485, 653, 498, 666)(456, 624, 486, 654, 499, 667)(457, 625, 482, 650, 501, 669)(459, 627, 500, 668, 502, 670)(472, 640, 489, 657, 504, 672)(474, 642, 490, 658, 503, 671)(475, 643, 488, 656, 496, 664)
	L = (1, 339)(2, 342)(3, 345)(4, 347)(5, 337)(6, 353)(7, 338)(8, 358)(9, 361)(10, 355)(11, 365)(12, 340)(13, 370)(14, 371)(15, 341)(16, 376)(17, 379)(18, 367)(19, 382)(20, 383)(21, 343)(22, 389)(23, 344)(24, 394)(25, 375)(26, 391)(27, 346)(28, 402)(29, 405)(30, 349)(31, 408)(32, 409)(33, 348)(34, 413)(35, 416)(36, 350)(37, 419)(38, 420)(39, 351)(40, 422)(41, 352)(42, 426)(43, 387)(44, 423)(45, 354)(46, 433)(47, 436)(48, 356)(49, 439)(50, 440)(51, 357)(52, 368)(53, 374)(54, 399)(55, 446)(56, 447)(57, 359)(58, 372)(59, 360)(60, 369)(61, 452)(62, 362)(63, 456)(64, 457)(65, 363)(66, 459)(67, 364)(68, 442)(69, 396)(70, 460)(71, 366)(72, 468)(73, 449)(74, 455)(75, 471)(76, 444)(77, 397)(78, 418)(79, 461)(80, 395)(81, 373)(82, 429)(83, 398)(84, 393)(85, 401)(86, 386)(87, 481)(88, 482)(89, 377)(90, 384)(91, 378)(92, 380)(93, 485)(94, 486)(95, 381)(96, 480)(97, 421)(98, 438)(99, 392)(100, 427)(101, 385)(102, 465)(103, 428)(104, 425)(105, 431)(106, 388)(107, 490)(108, 494)(109, 390)(110, 417)(111, 484)(112, 472)(113, 463)(114, 400)(115, 454)(116, 407)(117, 493)(118, 500)(119, 464)(120, 487)(121, 476)(122, 473)(123, 411)(124, 497)(125, 499)(126, 403)(127, 404)(128, 406)(129, 501)(130, 498)(131, 502)(132, 441)(133, 424)(134, 410)(135, 462)(136, 412)(137, 489)(138, 414)(139, 415)(140, 488)(141, 443)(142, 496)(143, 504)(144, 450)(145, 437)(146, 495)(147, 430)(148, 477)(149, 453)(150, 491)(151, 478)(152, 432)(153, 434)(154, 435)(155, 503)(156, 479)(157, 474)(158, 466)(159, 492)(160, 445)(161, 470)(162, 448)(163, 451)(164, 475)(165, 458)(166, 483)(167, 467)(168, 469)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 14 ), ( 6, 14, 6, 14, 6, 14 ) }
Outer automorphisms :: reflexible
Dual of E17.2116
Graph:: simple bipartite
	v = 224 e = 336 f = 80
	degree seq :: [ 2^168, 6^56 ]

E17.2118 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 7})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
Aut   = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X2 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2, X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1, X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X2 * X1^-1 * X2^-1 * X1^-1)^3, (X2 * X1^-1)^6, (X2^-1 * X1^-1)^7 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 9)(5, 12, 13)(6, 14, 15)(7, 16, 17)(10, 22, 23)(11, 24, 25)(18, 38, 39)(19, 40, 41)(20, 42, 43)(21, 44, 45)(26, 54, 55)(27, 56, 57)(28, 58, 59)(29, 60, 61)(30, 62, 63)(31, 64, 65)(32, 66, 67)(33, 68, 69)(34, 70, 71)(35, 72, 73)(36, 74, 75)(37, 76, 77)(46, 91, 87)(47, 92, 93)(48, 94, 95)(49, 96, 97)(50, 98, 85)(51, 99, 100)(52, 101, 102)(53, 103, 104)(78, 134, 128)(79, 135, 136)(80, 137, 138)(81, 139, 120)(82, 113, 123)(83, 109, 118)(84, 126, 112)(86, 121, 129)(88, 122, 110)(89, 140, 119)(90, 141, 142)(105, 153, 132)(106, 150, 127)(107, 147, 131)(108, 143, 154)(111, 155, 133)(114, 146, 156)(115, 149, 157)(116, 158, 148)(117, 159, 160)(124, 161, 162)(125, 163, 151)(130, 164, 152)(144, 166, 167)(145, 168, 165)(169, 171, 173)(170, 174, 175)(172, 178, 179)(176, 186, 187)(177, 188, 189)(180, 194, 195)(181, 196, 197)(182, 198, 199)(183, 200, 201)(184, 202, 203)(185, 204, 205)(190, 214, 215)(191, 216, 217)(192, 218, 219)(193, 220, 221)(206, 246, 247)(207, 235, 248)(208, 249, 244)(209, 250, 251)(210, 252, 253)(211, 254, 255)(212, 256, 242)(213, 257, 258)(222, 273, 274)(223, 234, 275)(224, 276, 277)(225, 268, 241)(226, 264, 278)(227, 279, 280)(228, 260, 281)(229, 282, 283)(230, 284, 285)(231, 263, 286)(232, 287, 271)(233, 288, 289)(236, 290, 269)(237, 291, 292)(238, 293, 294)(239, 262, 295)(240, 296, 297)(243, 298, 299)(245, 300, 301)(259, 311, 312)(261, 308, 305)(265, 307, 313)(266, 314, 315)(267, 316, 306)(270, 317, 318)(272, 319, 320)(302, 332, 328)(303, 324, 309)(304, 322, 323)(310, 333, 330)(321, 329, 327)(325, 335, 326)(331, 336, 334)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 14^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 168 f = 24
	degree seq :: [ 3^112 ]

E17.2119 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 7})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
Aut   = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
|r| :: 1
Presentation :: [ X1^3, (X1^-1 * X2^-1)^3, X2^7, (X2^-2 * X1)^3, X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1^-1, X2^2 * X1 * X2^-2 * X1 * X2 * X1^-1 * X2 * X1^-1, X2^3 * X1^-1 * X2 * X1^-1 * X2^-3 * X1^-1, (X2 * X1 * X2^-2 * X1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 22)(15, 37, 38)(17, 41, 43)(21, 49, 50)(23, 53, 54)(25, 58, 59)(27, 62, 64)(28, 65, 56)(30, 68, 70)(33, 75, 76)(34, 78, 80)(35, 81, 82)(36, 84, 86)(39, 90, 91)(40, 92, 93)(42, 97, 98)(44, 101, 103)(45, 104, 95)(46, 106, 108)(47, 109, 110)(48, 112, 114)(51, 117, 118)(52, 119, 121)(55, 124, 100)(57, 126, 127)(60, 131, 132)(61, 133, 128)(63, 113, 83)(66, 139, 140)(67, 141, 142)(69, 144, 129)(71, 122, 146)(72, 147, 138)(73, 149, 151)(74, 152, 153)(77, 156, 157)(79, 158, 116)(85, 154, 145)(87, 159, 99)(88, 115, 160)(89, 150, 161)(94, 164, 135)(96, 165, 136)(102, 120, 111)(105, 168, 123)(107, 137, 155)(125, 167, 143)(130, 163, 148)(134, 166, 162)(169, 171, 177, 193, 207, 183, 173)(170, 174, 185, 210, 219, 189, 175)(172, 179, 198, 237, 245, 201, 180)(176, 190, 220, 288, 293, 223, 191)(178, 195, 231, 302, 285, 234, 196)(181, 202, 247, 300, 325, 251, 203)(182, 204, 253, 294, 262, 208, 184)(186, 212, 270, 334, 324, 273, 213)(187, 214, 275, 327, 259, 279, 215)(188, 216, 281, 333, 301, 235, 197)(192, 224, 272, 329, 280, 278, 225)(194, 228, 217, 283, 335, 271, 229)(199, 239, 313, 330, 258, 316, 240)(200, 241, 318, 328, 286, 322, 242)(205, 255, 304, 232, 303, 238, 256)(206, 257, 291, 221, 290, 310, 246)(209, 263, 315, 326, 287, 321, 264)(211, 267, 243, 299, 295, 314, 268)(218, 284, 331, 260, 230, 222, 274)(226, 296, 320, 254, 276, 336, 297)(227, 265, 292, 249, 282, 319, 298)(233, 305, 252, 250, 311, 236, 306)(244, 323, 308, 309, 269, 261, 317)(248, 307, 266, 312, 332, 277, 289)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^3 ), ( 6^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 168 f = 56
	degree seq :: [ 3^56, 7^24 ]

E17.2120 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 3, 7})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
Aut   = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
|r| :: 1
Presentation :: [ X1^3, (X2^-1 * X1^-1)^3, X2^7, X2^-1 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2^-2 * X1, X2 * X1 * X2^-1 * X1 * X2^3 * X1^-1 * X2 * X1^-1, (X2 * X1 * X2^-2 * X1^-1)^2, X2^3 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 16, 18)(7, 19, 20)(9, 24, 26)(11, 29, 31)(12, 32, 22)(15, 37, 38)(17, 41, 43)(21, 49, 50)(23, 53, 54)(25, 58, 59)(27, 62, 64)(28, 65, 56)(30, 68, 70)(33, 75, 76)(34, 78, 80)(35, 81, 82)(36, 84, 86)(39, 90, 91)(40, 92, 93)(42, 97, 98)(44, 101, 63)(45, 103, 95)(46, 105, 57)(47, 107, 88)(48, 109, 66)(51, 114, 115)(52, 116, 104)(55, 119, 100)(60, 126, 127)(61, 128, 123)(67, 134, 135)(69, 137, 138)(71, 140, 102)(72, 125, 136)(73, 141, 96)(74, 143, 112)(77, 147, 148)(79, 130, 113)(83, 129, 118)(85, 150, 120)(87, 152, 153)(89, 142, 131)(94, 155, 139)(99, 157, 133)(106, 159, 146)(108, 158, 124)(110, 162, 151)(111, 164, 154)(117, 167, 163)(121, 156, 144)(122, 149, 161)(132, 160, 166)(145, 168, 165)(169, 171, 177, 193, 207, 183, 173)(170, 174, 185, 210, 219, 189, 175)(172, 179, 198, 237, 245, 201, 180)(176, 190, 220, 285, 288, 223, 191)(178, 195, 231, 298, 301, 234, 196)(181, 202, 247, 311, 302, 251, 203)(182, 204, 253, 319, 262, 208, 184)(186, 212, 270, 327, 329, 272, 213)(187, 214, 274, 249, 221, 276, 215)(188, 216, 278, 331, 296, 235, 197)(192, 224, 289, 307, 238, 290, 225)(194, 228, 264, 209, 263, 297, 229)(199, 239, 232, 299, 295, 254, 240)(200, 241, 310, 275, 260, 312, 242)(205, 255, 306, 271, 328, 277, 256)(206, 257, 282, 333, 335, 317, 246)(211, 267, 248, 236, 304, 326, 268)(217, 279, 227, 293, 334, 284, 280)(218, 281, 315, 321, 318, 294, 273)(222, 286, 305, 323, 332, 283, 230)(226, 291, 336, 316, 269, 261, 292)(233, 300, 252, 250, 243, 313, 266)(244, 314, 258, 322, 330, 325, 309)(259, 308, 303, 324, 265, 287, 320)
	L = (1, 169)(2, 170)(3, 171)(4, 172)(5, 173)(6, 174)(7, 175)(8, 176)(9, 177)(10, 178)(11, 179)(12, 180)(13, 181)(14, 182)(15, 183)(16, 184)(17, 185)(18, 186)(19, 187)(20, 188)(21, 189)(22, 190)(23, 191)(24, 192)(25, 193)(26, 194)(27, 195)(28, 196)(29, 197)(30, 198)(31, 199)(32, 200)(33, 201)(34, 202)(35, 203)(36, 204)(37, 205)(38, 206)(39, 207)(40, 208)(41, 209)(42, 210)(43, 211)(44, 212)(45, 213)(46, 214)(47, 215)(48, 216)(49, 217)(50, 218)(51, 219)(52, 220)(53, 221)(54, 222)(55, 223)(56, 224)(57, 225)(58, 226)(59, 227)(60, 228)(61, 229)(62, 230)(63, 231)(64, 232)(65, 233)(66, 234)(67, 235)(68, 236)(69, 237)(70, 238)(71, 239)(72, 240)(73, 241)(74, 242)(75, 243)(76, 244)(77, 245)(78, 246)(79, 247)(80, 248)(81, 249)(82, 250)(83, 251)(84, 252)(85, 253)(86, 254)(87, 255)(88, 256)(89, 257)(90, 258)(91, 259)(92, 260)(93, 261)(94, 262)(95, 263)(96, 264)(97, 265)(98, 266)(99, 267)(100, 268)(101, 269)(102, 270)(103, 271)(104, 272)(105, 273)(106, 274)(107, 275)(108, 276)(109, 277)(110, 278)(111, 279)(112, 280)(113, 281)(114, 282)(115, 283)(116, 284)(117, 285)(118, 286)(119, 287)(120, 288)(121, 289)(122, 290)(123, 291)(124, 292)(125, 293)(126, 294)(127, 295)(128, 296)(129, 297)(130, 298)(131, 299)(132, 300)(133, 301)(134, 302)(135, 303)(136, 304)(137, 305)(138, 306)(139, 307)(140, 308)(141, 309)(142, 310)(143, 311)(144, 312)(145, 313)(146, 314)(147, 315)(148, 316)(149, 317)(150, 318)(151, 319)(152, 320)(153, 321)(154, 322)(155, 323)(156, 324)(157, 325)(158, 326)(159, 327)(160, 328)(161, 329)(162, 330)(163, 331)(164, 332)(165, 333)(166, 334)(167, 335)(168, 336)
	local type(s) :: { ( 6^3 ), ( 6^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 80 e = 168 f = 56
	degree seq :: [ 3^56, 7^24 ]

E17.2121 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 7})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
Aut   = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X2 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1^-1, X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2, X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2^-1 * X1 * X2^-1, X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1^-1 * X2^-1 * X1^-1, (X2 * X1^-1 * X2^-1 * X1^-1)^3, (X2 * X1^-1)^6, (X2^-1 * X1^-1)^7 ]
Map:: polyhedral non-degenerate
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 9, 177)(5, 173, 12, 180, 13, 181)(6, 174, 14, 182, 15, 183)(7, 175, 16, 184, 17, 185)(10, 178, 22, 190, 23, 191)(11, 179, 24, 192, 25, 193)(18, 186, 38, 206, 39, 207)(19, 187, 40, 208, 41, 209)(20, 188, 42, 210, 43, 211)(21, 189, 44, 212, 45, 213)(26, 194, 54, 222, 55, 223)(27, 195, 56, 224, 57, 225)(28, 196, 58, 226, 59, 227)(29, 197, 60, 228, 61, 229)(30, 198, 62, 230, 63, 231)(31, 199, 64, 232, 65, 233)(32, 200, 66, 234, 67, 235)(33, 201, 68, 236, 69, 237)(34, 202, 70, 238, 71, 239)(35, 203, 72, 240, 73, 241)(36, 204, 74, 242, 75, 243)(37, 205, 76, 244, 77, 245)(46, 214, 91, 259, 87, 255)(47, 215, 92, 260, 93, 261)(48, 216, 94, 262, 95, 263)(49, 217, 96, 264, 97, 265)(50, 218, 98, 266, 85, 253)(51, 219, 99, 267, 100, 268)(52, 220, 101, 269, 102, 270)(53, 221, 103, 271, 104, 272)(78, 246, 134, 302, 128, 296)(79, 247, 135, 303, 136, 304)(80, 248, 137, 305, 138, 306)(81, 249, 139, 307, 120, 288)(82, 250, 113, 281, 123, 291)(83, 251, 109, 277, 118, 286)(84, 252, 126, 294, 112, 280)(86, 254, 121, 289, 129, 297)(88, 256, 122, 290, 110, 278)(89, 257, 140, 308, 119, 287)(90, 258, 141, 309, 142, 310)(105, 273, 153, 321, 132, 300)(106, 274, 150, 318, 127, 295)(107, 275, 147, 315, 131, 299)(108, 276, 143, 311, 154, 322)(111, 279, 155, 323, 133, 301)(114, 282, 146, 314, 156, 324)(115, 283, 149, 317, 157, 325)(116, 284, 158, 326, 148, 316)(117, 285, 159, 327, 160, 328)(124, 292, 161, 329, 162, 330)(125, 293, 163, 331, 151, 319)(130, 298, 164, 332, 152, 320)(144, 312, 166, 334, 167, 335)(145, 313, 168, 336, 165, 333)
	L = (1, 171)(2, 174)(3, 173)(4, 178)(5, 169)(6, 175)(7, 170)(8, 186)(9, 188)(10, 179)(11, 172)(12, 194)(13, 196)(14, 198)(15, 200)(16, 202)(17, 204)(18, 187)(19, 176)(20, 189)(21, 177)(22, 214)(23, 216)(24, 218)(25, 220)(26, 195)(27, 180)(28, 197)(29, 181)(30, 199)(31, 182)(32, 201)(33, 183)(34, 203)(35, 184)(36, 205)(37, 185)(38, 246)(39, 235)(40, 249)(41, 250)(42, 252)(43, 254)(44, 256)(45, 257)(46, 215)(47, 190)(48, 217)(49, 191)(50, 219)(51, 192)(52, 221)(53, 193)(54, 273)(55, 234)(56, 276)(57, 268)(58, 264)(59, 279)(60, 260)(61, 282)(62, 284)(63, 263)(64, 287)(65, 288)(66, 275)(67, 248)(68, 290)(69, 291)(70, 293)(71, 262)(72, 296)(73, 225)(74, 212)(75, 298)(76, 208)(77, 300)(78, 247)(79, 206)(80, 207)(81, 244)(82, 251)(83, 209)(84, 253)(85, 210)(86, 255)(87, 211)(88, 242)(89, 258)(90, 213)(91, 311)(92, 281)(93, 308)(94, 295)(95, 286)(96, 278)(97, 307)(98, 314)(99, 316)(100, 241)(101, 236)(102, 317)(103, 232)(104, 319)(105, 274)(106, 222)(107, 223)(108, 277)(109, 224)(110, 226)(111, 280)(112, 227)(113, 228)(114, 283)(115, 229)(116, 285)(117, 230)(118, 231)(119, 271)(120, 289)(121, 233)(122, 269)(123, 292)(124, 237)(125, 294)(126, 238)(127, 239)(128, 297)(129, 240)(130, 299)(131, 243)(132, 301)(133, 245)(134, 332)(135, 324)(136, 322)(137, 261)(138, 267)(139, 313)(140, 305)(141, 303)(142, 333)(143, 312)(144, 259)(145, 265)(146, 315)(147, 266)(148, 306)(149, 318)(150, 270)(151, 320)(152, 272)(153, 329)(154, 323)(155, 304)(156, 309)(157, 335)(158, 325)(159, 321)(160, 302)(161, 327)(162, 310)(163, 336)(164, 328)(165, 330)(166, 331)(167, 326)(168, 334)
	local type(s) :: { ( 3, 7, 3, 7, 3, 7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 56 e = 168 f = 80
	degree seq :: [ 6^56 ]

E17.2122 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 7})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
Aut   = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
|r| :: 1
Presentation :: [ X1^3, X2^3, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-1 * X1^-1, X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^-1, (X2^-1 * X1^-1)^7 ]
Map:: polyhedral non-degenerate
	R = (1, 169, 2, 170, 4, 172)(3, 171, 8, 176, 9, 177)(5, 173, 12, 180, 13, 181)(6, 174, 14, 182, 15, 183)(7, 175, 16, 184, 17, 185)(10, 178, 22, 190, 23, 191)(11, 179, 24, 192, 25, 193)(18, 186, 38, 206, 39, 207)(19, 187, 40, 208, 41, 209)(20, 188, 42, 210, 43, 211)(21, 189, 44, 212, 45, 213)(26, 194, 54, 222, 55, 223)(27, 195, 56, 224, 57, 225)(28, 196, 58, 226, 59, 227)(29, 197, 60, 228, 61, 229)(30, 198, 62, 230, 63, 231)(31, 199, 64, 232, 65, 233)(32, 200, 66, 234, 67, 235)(33, 201, 68, 236, 69, 237)(34, 202, 70, 238, 71, 239)(35, 203, 72, 240, 73, 241)(36, 204, 74, 242, 75, 243)(37, 205, 76, 244, 77, 245)(46, 214, 91, 259, 92, 260)(47, 215, 93, 261, 94, 262)(48, 216, 89, 257, 95, 263)(49, 217, 83, 251, 96, 264)(50, 218, 97, 265, 98, 266)(51, 219, 99, 267, 100, 268)(52, 220, 101, 269, 102, 270)(53, 221, 103, 271, 104, 272)(78, 246, 134, 302, 135, 303)(79, 247, 136, 304, 113, 281)(80, 248, 131, 299, 117, 285)(81, 249, 124, 292, 111, 279)(82, 250, 137, 305, 138, 306)(84, 252, 129, 297, 119, 287)(85, 253, 139, 307, 140, 308)(86, 254, 114, 282, 125, 293)(87, 255, 108, 276, 130, 298)(88, 256, 141, 309, 142, 310)(90, 258, 143, 311, 127, 295)(105, 273, 122, 290, 132, 300)(106, 274, 128, 296, 153, 321)(107, 275, 146, 314, 151, 319)(109, 277, 121, 289, 154, 322)(110, 278, 155, 323, 120, 288)(112, 280, 147, 315, 148, 316)(115, 283, 156, 324, 157, 325)(116, 284, 158, 326, 159, 327)(118, 286, 150, 318, 145, 313)(123, 291, 126, 294, 149, 317)(133, 301, 160, 328, 161, 329)(144, 312, 167, 335, 164, 332)(152, 320, 168, 336, 162, 330)(163, 331, 166, 334, 165, 333)
	L = (1, 171)(2, 174)(3, 173)(4, 178)(5, 169)(6, 175)(7, 170)(8, 186)(9, 188)(10, 179)(11, 172)(12, 194)(13, 196)(14, 198)(15, 200)(16, 202)(17, 204)(18, 187)(19, 176)(20, 189)(21, 177)(22, 214)(23, 216)(24, 218)(25, 220)(26, 195)(27, 180)(28, 197)(29, 181)(30, 199)(31, 182)(32, 201)(33, 183)(34, 203)(35, 184)(36, 205)(37, 185)(38, 246)(39, 248)(40, 239)(41, 251)(42, 253)(43, 254)(44, 256)(45, 257)(46, 215)(47, 190)(48, 217)(49, 191)(50, 219)(51, 192)(52, 221)(53, 193)(54, 273)(55, 274)(56, 238)(57, 276)(58, 278)(59, 270)(60, 280)(61, 282)(62, 284)(63, 286)(64, 266)(65, 212)(66, 289)(67, 290)(68, 292)(69, 210)(70, 275)(71, 250)(72, 265)(73, 294)(74, 296)(75, 227)(76, 298)(77, 300)(78, 247)(79, 206)(80, 249)(81, 207)(82, 208)(83, 252)(84, 209)(85, 237)(86, 255)(87, 211)(88, 233)(89, 258)(90, 213)(91, 312)(92, 304)(93, 223)(94, 236)(95, 314)(96, 234)(97, 293)(98, 288)(99, 222)(100, 316)(101, 305)(102, 243)(103, 317)(104, 319)(105, 267)(106, 261)(107, 224)(108, 277)(109, 225)(110, 279)(111, 226)(112, 281)(113, 228)(114, 283)(115, 229)(116, 285)(117, 230)(118, 287)(119, 231)(120, 232)(121, 264)(122, 291)(123, 235)(124, 262)(125, 240)(126, 295)(127, 241)(128, 297)(129, 242)(130, 299)(131, 244)(132, 301)(133, 245)(134, 330)(135, 331)(136, 310)(137, 309)(138, 326)(139, 332)(140, 268)(141, 269)(142, 260)(143, 327)(144, 313)(145, 259)(146, 315)(147, 263)(148, 308)(149, 318)(150, 271)(151, 320)(152, 272)(153, 302)(154, 303)(155, 335)(156, 336)(157, 306)(158, 325)(159, 334)(160, 324)(161, 323)(162, 321)(163, 322)(164, 333)(165, 307)(166, 311)(167, 329)(168, 328)
	local type(s) :: { ( 3, 7, 3, 7, 3, 7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 56 e = 168 f = 80
	degree seq :: [ 6^56 ]

E17.2123 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 3, 7})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
Aut   = ((C2 x C2 x C2) : C7) : C3 (small group id <168, 43>)
|r| :: 1
Presentation :: [ X2^3, (X1^-1 * X2^-1)^3, X1^7, (X1 * X2^-1 * X1)^3, (X1^2 * X2^-1)^3, X1^-1 * X2^-1 * X1^-2 * X2 * X1 * X2^-1 * X1^-1 * X2 * X1^-1, (X2 * X1^2 * X2^-1 * X1^-1)^2, X2 * X1^3 * X2 * X1^-1 * X2 * X1^-3 ]
Map:: polyhedral non-degenerate
	R = (1, 169, 2, 170, 6, 174, 16, 184, 32, 200, 12, 180, 4, 172)(3, 171, 9, 177, 23, 191, 55, 223, 64, 232, 27, 195, 10, 178)(5, 173, 14, 182, 35, 203, 81, 249, 90, 258, 39, 207, 15, 183)(7, 175, 19, 187, 46, 214, 104, 272, 110, 278, 48, 216, 20, 188)(8, 176, 21, 189, 50, 218, 113, 281, 121, 289, 54, 222, 22, 190)(11, 179, 29, 197, 67, 235, 101, 269, 143, 311, 71, 239, 30, 198)(13, 181, 34, 202, 78, 246, 97, 265, 127, 295, 58, 226, 24, 192)(17, 185, 42, 210, 96, 264, 150, 318, 139, 307, 98, 266, 43, 211)(18, 186, 44, 212, 63, 231, 136, 304, 166, 334, 103, 271, 45, 213)(25, 193, 59, 227, 129, 297, 167, 335, 161, 329, 131, 299, 60, 228)(26, 194, 61, 229, 132, 300, 145, 313, 76, 244, 135, 303, 62, 230)(28, 196, 66, 234, 114, 282, 165, 333, 102, 270, 84, 252, 36, 204)(31, 199, 73, 241, 117, 285, 52, 220, 116, 284, 83, 251, 74, 242)(33, 201, 77, 245, 108, 276, 47, 215, 107, 275, 142, 310, 68, 236)(37, 205, 85, 253, 152, 320, 148, 316, 75, 243, 147, 315, 86, 254)(38, 206, 87, 255, 149, 317, 146, 314, 137, 305, 151, 319, 88, 256)(40, 208, 92, 260, 153, 321, 80, 248, 133, 301, 163, 331, 93, 261)(41, 209, 94, 262, 109, 277, 70, 238, 140, 308, 159, 327, 95, 263)(49, 217, 112, 280, 65, 233, 138, 306, 164, 332, 115, 283, 51, 219)(53, 221, 118, 286, 79, 247, 72, 240, 144, 312, 82, 250, 119, 287)(56, 224, 124, 292, 157, 325, 141, 309, 105, 273, 160, 328, 125, 293)(57, 225, 126, 294, 89, 257, 100, 268, 99, 267, 156, 324, 111, 279)(69, 237, 120, 288, 123, 291, 154, 322, 168, 336, 134, 302, 106, 274)(91, 259, 162, 330, 122, 290, 155, 323, 130, 298, 128, 296, 158, 326)
	L = (1, 171)(2, 175)(3, 173)(4, 179)(5, 169)(6, 185)(7, 176)(8, 170)(9, 192)(10, 194)(11, 181)(12, 199)(13, 172)(14, 204)(15, 206)(16, 208)(17, 186)(18, 174)(19, 183)(20, 215)(21, 219)(22, 221)(23, 224)(24, 193)(25, 177)(26, 196)(27, 231)(28, 178)(29, 236)(30, 238)(31, 201)(32, 243)(33, 180)(34, 247)(35, 250)(36, 205)(37, 182)(38, 187)(39, 257)(40, 209)(41, 184)(42, 190)(43, 265)(44, 268)(45, 270)(46, 273)(47, 217)(48, 277)(49, 188)(50, 282)(51, 220)(52, 189)(53, 210)(54, 288)(55, 262)(56, 225)(57, 191)(58, 283)(59, 298)(60, 264)(61, 280)(62, 302)(63, 233)(64, 289)(65, 195)(66, 307)(67, 309)(68, 237)(69, 197)(70, 240)(71, 218)(72, 198)(73, 313)(74, 304)(75, 244)(76, 200)(77, 317)(78, 319)(79, 248)(80, 202)(81, 322)(82, 251)(83, 203)(84, 323)(85, 275)(86, 325)(87, 326)(88, 321)(89, 259)(90, 329)(91, 207)(92, 213)(93, 249)(94, 291)(95, 332)(96, 292)(97, 267)(98, 230)(99, 211)(100, 269)(101, 212)(102, 260)(103, 227)(104, 303)(105, 274)(106, 214)(107, 324)(108, 299)(109, 279)(110, 334)(111, 216)(112, 301)(113, 335)(114, 239)(115, 296)(116, 295)(117, 293)(118, 330)(119, 254)(120, 290)(121, 305)(122, 222)(123, 223)(124, 228)(125, 333)(126, 241)(127, 336)(128, 226)(129, 272)(130, 271)(131, 331)(132, 286)(133, 229)(134, 266)(135, 297)(136, 314)(137, 232)(138, 235)(139, 308)(140, 234)(141, 306)(142, 252)(143, 258)(144, 278)(145, 294)(146, 242)(147, 263)(148, 281)(149, 318)(150, 245)(151, 320)(152, 246)(153, 328)(154, 261)(155, 310)(156, 253)(157, 287)(158, 327)(159, 255)(160, 256)(161, 311)(162, 300)(163, 276)(164, 315)(165, 285)(166, 312)(167, 316)(168, 284)
	local type(s) :: { ( 3^14 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 24 e = 168 f = 112
	degree seq :: [ 14^24 ]

E17.2124 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (R * Y3^-1 * Y2)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, (Y1 * Y2)^4, (Y3^-1 * Y1 * Y2 * Y1 * Y3^-1)^2, Y3 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194)(3, 195, 9, 201)(4, 196, 12, 204)(5, 197, 14, 206)(6, 198, 15, 207)(7, 199, 18, 210)(8, 200, 20, 212)(10, 202, 24, 216)(11, 203, 26, 218)(13, 205, 29, 221)(16, 208, 35, 227)(17, 209, 37, 229)(19, 211, 40, 232)(21, 213, 32, 224)(22, 214, 45, 237)(23, 215, 47, 239)(25, 217, 50, 242)(27, 219, 53, 245)(28, 220, 55, 247)(30, 222, 58, 250)(31, 223, 57, 249)(33, 225, 62, 254)(34, 226, 64, 256)(36, 228, 67, 259)(38, 230, 70, 262)(39, 231, 72, 264)(41, 233, 75, 267)(42, 234, 74, 266)(43, 235, 77, 269)(44, 236, 79, 271)(46, 238, 73, 265)(48, 240, 84, 276)(49, 241, 86, 278)(51, 243, 89, 281)(52, 244, 88, 280)(54, 246, 93, 285)(56, 248, 63, 255)(59, 251, 97, 289)(60, 252, 98, 290)(61, 253, 100, 292)(65, 257, 105, 297)(66, 258, 107, 299)(68, 260, 110, 302)(69, 261, 109, 301)(71, 263, 114, 306)(76, 268, 118, 310)(78, 270, 108, 300)(80, 272, 123, 315)(81, 273, 117, 309)(82, 274, 125, 317)(83, 275, 115, 307)(85, 277, 129, 321)(87, 279, 99, 291)(90, 282, 133, 325)(91, 283, 112, 304)(92, 284, 134, 326)(94, 286, 104, 296)(95, 287, 116, 308)(96, 288, 102, 294)(101, 293, 143, 335)(103, 295, 145, 337)(106, 298, 149, 341)(111, 303, 153, 345)(113, 305, 154, 346)(119, 311, 159, 351)(120, 312, 152, 344)(121, 313, 161, 353)(122, 314, 150, 342)(124, 316, 158, 350)(126, 318, 155, 347)(127, 319, 163, 355)(128, 320, 165, 357)(130, 322, 142, 334)(131, 323, 157, 349)(132, 324, 140, 332)(135, 327, 146, 338)(136, 328, 156, 348)(137, 329, 151, 343)(138, 330, 144, 336)(139, 331, 172, 364)(141, 333, 174, 366)(147, 339, 176, 368)(148, 340, 178, 370)(160, 352, 182, 374)(162, 354, 179, 371)(164, 356, 183, 375)(166, 358, 175, 367)(167, 359, 184, 376)(168, 360, 181, 373)(169, 361, 173, 365)(170, 362, 177, 369)(171, 363, 180, 372)(185, 377, 189, 381)(186, 378, 191, 383)(187, 379, 190, 382)(188, 380, 192, 384)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 395, 587)(389, 581, 394, 586)(391, 583, 401, 593)(392, 584, 400, 592)(393, 585, 405, 597)(396, 588, 411, 603)(397, 589, 409, 601)(398, 590, 414, 606)(399, 591, 416, 608)(402, 594, 422, 614)(403, 595, 420, 612)(404, 596, 425, 617)(406, 598, 428, 620)(407, 599, 427, 619)(408, 600, 432, 624)(410, 602, 435, 627)(412, 604, 438, 630)(413, 605, 440, 632)(415, 607, 443, 635)(417, 609, 445, 637)(418, 610, 444, 636)(419, 611, 449, 641)(421, 613, 452, 644)(423, 615, 455, 647)(424, 616, 457, 649)(426, 618, 460, 652)(429, 621, 464, 656)(430, 622, 462, 654)(431, 623, 466, 658)(433, 625, 469, 661)(434, 626, 471, 663)(436, 628, 474, 666)(437, 629, 473, 665)(439, 631, 478, 670)(441, 633, 480, 672)(442, 634, 468, 660)(446, 638, 485, 677)(447, 639, 483, 675)(448, 640, 487, 679)(450, 642, 490, 682)(451, 643, 492, 684)(453, 645, 495, 687)(454, 646, 494, 686)(456, 648, 499, 691)(458, 650, 501, 693)(459, 651, 489, 681)(461, 653, 503, 695)(463, 655, 505, 697)(465, 657, 508, 700)(467, 659, 510, 702)(470, 662, 514, 706)(472, 664, 516, 708)(475, 667, 511, 703)(476, 668, 512, 704)(477, 669, 519, 711)(479, 671, 521, 713)(481, 673, 522, 714)(482, 674, 523, 715)(484, 676, 525, 717)(486, 678, 528, 720)(488, 680, 530, 722)(491, 683, 534, 726)(493, 685, 536, 728)(496, 688, 531, 723)(497, 689, 532, 724)(498, 690, 539, 731)(500, 692, 541, 733)(502, 694, 542, 734)(504, 696, 544, 736)(506, 698, 546, 738)(507, 699, 545, 737)(509, 701, 543, 735)(513, 705, 550, 742)(515, 707, 552, 744)(517, 709, 553, 745)(518, 710, 554, 746)(520, 712, 555, 747)(524, 716, 557, 749)(526, 718, 559, 751)(527, 719, 558, 750)(529, 721, 556, 748)(533, 725, 563, 755)(535, 727, 565, 757)(537, 729, 566, 758)(538, 730, 567, 759)(540, 732, 568, 760)(547, 739, 569, 761)(548, 740, 570, 762)(549, 741, 571, 763)(551, 743, 572, 764)(560, 752, 573, 765)(561, 753, 574, 766)(562, 754, 575, 767)(564, 756, 576, 768)
	L = (1, 388)(2, 391)(3, 394)(4, 397)(5, 385)(6, 400)(7, 403)(8, 386)(9, 406)(10, 409)(11, 387)(12, 404)(13, 389)(14, 415)(15, 417)(16, 420)(17, 390)(18, 398)(19, 392)(20, 426)(21, 427)(22, 430)(23, 393)(24, 431)(25, 395)(26, 436)(27, 438)(28, 396)(29, 439)(30, 422)(31, 423)(32, 444)(33, 447)(34, 399)(35, 448)(36, 401)(37, 453)(38, 455)(39, 402)(40, 456)(41, 411)(42, 412)(43, 462)(44, 405)(45, 410)(46, 407)(47, 467)(48, 469)(49, 408)(50, 470)(51, 464)(52, 465)(53, 475)(54, 460)(55, 479)(56, 480)(57, 413)(58, 476)(59, 414)(60, 483)(61, 416)(62, 421)(63, 418)(64, 488)(65, 490)(66, 419)(67, 491)(68, 485)(69, 486)(70, 496)(71, 443)(72, 500)(73, 501)(74, 424)(75, 497)(76, 425)(77, 484)(78, 428)(79, 506)(80, 508)(81, 429)(82, 432)(83, 433)(84, 511)(85, 510)(86, 515)(87, 516)(88, 434)(89, 512)(90, 435)(91, 442)(92, 437)(93, 518)(94, 440)(95, 441)(96, 521)(97, 520)(98, 463)(99, 445)(100, 526)(101, 528)(102, 446)(103, 449)(104, 450)(105, 531)(106, 530)(107, 535)(108, 536)(109, 451)(110, 532)(111, 452)(112, 459)(113, 454)(114, 538)(115, 457)(116, 458)(117, 541)(118, 540)(119, 544)(120, 461)(121, 523)(122, 524)(123, 547)(124, 474)(125, 548)(126, 466)(127, 473)(128, 468)(129, 549)(130, 471)(131, 472)(132, 552)(133, 551)(134, 481)(135, 555)(136, 477)(137, 478)(138, 554)(139, 557)(140, 482)(141, 503)(142, 504)(143, 560)(144, 495)(145, 561)(146, 487)(147, 494)(148, 489)(149, 562)(150, 492)(151, 493)(152, 565)(153, 564)(154, 502)(155, 568)(156, 498)(157, 499)(158, 567)(159, 569)(160, 559)(161, 570)(162, 505)(163, 509)(164, 507)(165, 517)(166, 572)(167, 513)(168, 514)(169, 571)(170, 519)(171, 522)(172, 573)(173, 546)(174, 574)(175, 525)(176, 529)(177, 527)(178, 537)(179, 576)(180, 533)(181, 534)(182, 575)(183, 539)(184, 542)(185, 545)(186, 543)(187, 550)(188, 553)(189, 558)(190, 556)(191, 563)(192, 566)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2125
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2125 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1538>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y3 * Y1)^2, (Y1 * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-2)^2, Y3^6, (Y2 * Y1)^4, (Y3 * Y2 * Y1 * Y2 * Y1^-1)^2, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 10, 202, 12, 204)(4, 196, 14, 206, 16, 208)(6, 198, 19, 211, 8, 200)(7, 199, 21, 213, 23, 215)(9, 201, 26, 218, 18, 210)(11, 203, 31, 223, 33, 225)(13, 205, 36, 228, 29, 221)(15, 207, 40, 232, 27, 219)(17, 209, 44, 236, 45, 237)(20, 212, 47, 239, 49, 241)(22, 214, 53, 245, 55, 247)(24, 216, 58, 250, 51, 243)(25, 217, 43, 235, 39, 231)(28, 220, 62, 254, 64, 256)(30, 222, 67, 259, 35, 227)(32, 224, 71, 263, 68, 260)(34, 226, 75, 267, 50, 242)(37, 229, 77, 269, 79, 271)(38, 230, 80, 272, 82, 274)(41, 233, 60, 252, 83, 275)(42, 234, 85, 277, 86, 278)(46, 238, 92, 284, 89, 281)(48, 240, 94, 286, 95, 287)(52, 244, 100, 292, 57, 249)(54, 246, 104, 296, 101, 293)(56, 248, 108, 300, 88, 280)(59, 251, 110, 302, 112, 304)(61, 253, 113, 305, 114, 306)(63, 255, 117, 309, 106, 298)(65, 257, 121, 313, 115, 307)(66, 258, 74, 266, 70, 262)(69, 261, 98, 290, 126, 318)(72, 264, 123, 315, 127, 319)(73, 265, 129, 321, 130, 322)(76, 268, 135, 327, 133, 325)(78, 270, 137, 329, 109, 301)(81, 273, 140, 332, 142, 334)(84, 276, 145, 337, 146, 338)(87, 279, 149, 341, 147, 339)(90, 282, 152, 344, 91, 283)(93, 285, 153, 345, 154, 346)(96, 288, 156, 348, 155, 347)(97, 289, 134, 326, 143, 335)(99, 291, 107, 299, 103, 295)(102, 294, 150, 342, 124, 316)(105, 297, 159, 351, 161, 353)(111, 303, 120, 312, 116, 308)(118, 310, 163, 355, 167, 359)(119, 311, 148, 340, 132, 324)(122, 314, 170, 362, 165, 357)(125, 317, 171, 363, 173, 365)(128, 320, 175, 367, 160, 352)(131, 323, 164, 356, 176, 368)(136, 328, 157, 349, 178, 370)(138, 330, 180, 372, 179, 371)(139, 331, 151, 343, 144, 336)(141, 333, 182, 374, 181, 373)(158, 350, 177, 369, 174, 366)(162, 354, 168, 360, 166, 358)(169, 361, 188, 380, 189, 381)(172, 364, 190, 382, 186, 378)(183, 375, 185, 377, 184, 376)(187, 379, 191, 383, 192, 384)(385, 577, 387, 579)(386, 578, 391, 583)(388, 580, 397, 589)(389, 581, 401, 593)(390, 582, 395, 587)(392, 584, 408, 600)(393, 585, 406, 598)(394, 586, 412, 604)(396, 588, 418, 610)(398, 590, 422, 614)(399, 591, 421, 613)(400, 592, 426, 618)(402, 594, 430, 622)(403, 595, 432, 624)(404, 596, 416, 608)(405, 597, 434, 626)(407, 599, 440, 632)(409, 601, 443, 635)(410, 602, 445, 637)(411, 603, 438, 630)(413, 605, 449, 641)(414, 606, 447, 639)(415, 607, 453, 645)(417, 609, 457, 649)(419, 611, 460, 652)(420, 612, 462, 654)(423, 615, 465, 657)(424, 616, 468, 660)(425, 617, 456, 648)(427, 619, 471, 663)(428, 620, 472, 664)(429, 621, 446, 638)(431, 623, 477, 669)(433, 625, 480, 672)(435, 627, 482, 674)(436, 628, 481, 673)(437, 629, 486, 678)(439, 631, 490, 682)(441, 633, 493, 685)(442, 634, 495, 687)(444, 636, 489, 681)(448, 640, 503, 695)(450, 642, 506, 698)(451, 643, 508, 700)(452, 644, 502, 694)(454, 646, 509, 701)(455, 647, 512, 704)(458, 650, 515, 707)(459, 651, 516, 708)(461, 653, 520, 712)(463, 655, 522, 714)(464, 656, 499, 691)(466, 658, 527, 719)(467, 659, 525, 717)(469, 661, 518, 710)(470, 662, 521, 713)(473, 665, 534, 726)(474, 666, 513, 705)(475, 667, 500, 692)(476, 668, 519, 711)(478, 670, 514, 706)(479, 671, 504, 696)(483, 675, 542, 734)(484, 676, 505, 697)(485, 677, 541, 733)(487, 679, 544, 736)(488, 680, 546, 738)(491, 683, 547, 739)(492, 684, 532, 724)(494, 686, 548, 740)(496, 688, 549, 741)(497, 689, 501, 693)(498, 690, 517, 709)(507, 699, 553, 745)(510, 702, 536, 728)(511, 703, 556, 748)(523, 715, 550, 742)(524, 716, 555, 747)(526, 718, 560, 752)(528, 720, 562, 754)(529, 721, 563, 755)(530, 722, 552, 744)(531, 723, 557, 749)(533, 725, 554, 746)(535, 727, 564, 756)(537, 729, 551, 743)(538, 730, 558, 750)(539, 731, 559, 751)(540, 732, 561, 753)(543, 735, 570, 762)(545, 737, 571, 763)(565, 757, 572, 764)(566, 758, 576, 768)(567, 759, 575, 767)(568, 760, 573, 765)(569, 761, 574, 766)
	L = (1, 388)(2, 392)(3, 395)(4, 399)(5, 402)(6, 385)(7, 406)(8, 409)(9, 386)(10, 413)(11, 416)(12, 419)(13, 387)(14, 389)(15, 425)(16, 427)(17, 422)(18, 431)(19, 433)(20, 390)(21, 435)(22, 438)(23, 441)(24, 391)(25, 444)(26, 424)(27, 393)(28, 447)(29, 450)(30, 394)(31, 396)(32, 456)(33, 458)(34, 453)(35, 461)(36, 463)(37, 397)(38, 465)(39, 398)(40, 400)(41, 404)(42, 468)(43, 403)(44, 473)(45, 475)(46, 401)(47, 467)(48, 471)(49, 410)(50, 481)(51, 483)(52, 405)(53, 407)(54, 489)(55, 491)(56, 486)(57, 494)(58, 496)(59, 408)(60, 411)(61, 480)(62, 499)(63, 502)(64, 504)(65, 412)(66, 507)(67, 455)(68, 414)(69, 509)(70, 415)(71, 417)(72, 421)(73, 512)(74, 420)(75, 517)(76, 418)(77, 511)(78, 515)(79, 451)(80, 429)(81, 525)(82, 528)(83, 423)(84, 445)(85, 531)(86, 532)(87, 426)(88, 513)(89, 535)(90, 428)(91, 537)(92, 538)(93, 430)(94, 539)(95, 503)(96, 432)(97, 541)(98, 434)(99, 543)(100, 488)(101, 436)(102, 544)(103, 437)(104, 439)(105, 443)(106, 546)(107, 442)(108, 521)(109, 440)(110, 545)(111, 547)(112, 484)(113, 530)(114, 516)(115, 550)(116, 446)(117, 448)(118, 553)(119, 497)(120, 554)(121, 549)(122, 449)(123, 452)(124, 522)(125, 556)(126, 558)(127, 454)(128, 508)(129, 560)(130, 492)(131, 457)(132, 469)(133, 561)(134, 459)(135, 562)(136, 460)(137, 563)(138, 462)(139, 464)(140, 466)(141, 477)(142, 474)(143, 555)(144, 476)(145, 470)(146, 568)(147, 569)(148, 478)(149, 479)(150, 472)(151, 566)(152, 524)(153, 565)(154, 536)(155, 567)(156, 498)(157, 570)(158, 482)(159, 485)(160, 571)(161, 487)(162, 505)(163, 490)(164, 493)(165, 495)(166, 572)(167, 500)(168, 501)(169, 506)(170, 573)(171, 510)(172, 520)(173, 518)(174, 519)(175, 514)(176, 576)(177, 574)(178, 527)(179, 575)(180, 534)(181, 523)(182, 526)(183, 529)(184, 533)(185, 540)(186, 542)(187, 548)(188, 551)(189, 552)(190, 557)(191, 559)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2124
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2126 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y1)^2, Y3^4, (Y1 * Y3)^3, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, Y3^-2 * Y1 * Y2 * Y1 * Y3^2 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2 * R * Y1)^2, (Y3^-1 * Y1 * Y2 * Y1 * Y3^-1)^2, Y1 * Y3^-2 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y3^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194)(3, 195, 9, 201)(4, 196, 12, 204)(5, 197, 14, 206)(6, 198, 15, 207)(7, 199, 18, 210)(8, 200, 20, 212)(10, 202, 24, 216)(11, 203, 26, 218)(13, 205, 29, 221)(16, 208, 35, 227)(17, 209, 37, 229)(19, 211, 40, 232)(21, 213, 43, 235)(22, 214, 46, 238)(23, 215, 48, 240)(25, 217, 51, 243)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 59, 251)(31, 223, 58, 250)(32, 224, 61, 253)(33, 225, 64, 256)(34, 226, 66, 258)(36, 228, 69, 261)(38, 230, 72, 264)(39, 231, 74, 266)(41, 233, 77, 269)(42, 234, 76, 268)(44, 236, 82, 274)(45, 237, 84, 276)(47, 239, 75, 267)(49, 241, 89, 281)(50, 242, 91, 283)(52, 244, 94, 286)(53, 245, 93, 285)(55, 247, 99, 291)(57, 249, 65, 257)(60, 252, 104, 296)(62, 254, 108, 300)(63, 255, 110, 302)(67, 259, 115, 307)(68, 260, 117, 309)(70, 262, 120, 312)(71, 263, 119, 311)(73, 265, 125, 317)(78, 270, 130, 322)(79, 271, 131, 323)(80, 272, 132, 324)(81, 273, 133, 325)(83, 275, 109, 301)(85, 277, 136, 328)(86, 278, 128, 320)(87, 279, 138, 330)(88, 280, 126, 318)(90, 282, 142, 334)(92, 284, 118, 310)(95, 287, 143, 335)(96, 288, 139, 331)(97, 289, 123, 315)(98, 290, 146, 338)(100, 292, 114, 306)(101, 293, 127, 319)(102, 294, 112, 304)(103, 295, 137, 329)(105, 297, 148, 340)(106, 298, 149, 341)(107, 299, 150, 342)(111, 303, 153, 345)(113, 305, 155, 347)(116, 308, 159, 351)(121, 313, 160, 352)(122, 314, 156, 348)(124, 316, 163, 355)(129, 321, 154, 346)(134, 326, 167, 359)(135, 327, 168, 360)(140, 332, 170, 362)(141, 333, 173, 365)(144, 336, 174, 366)(145, 337, 171, 363)(147, 339, 164, 356)(151, 343, 177, 369)(152, 344, 178, 370)(157, 349, 180, 372)(158, 350, 183, 375)(161, 353, 184, 376)(162, 354, 181, 373)(165, 357, 179, 371)(166, 358, 182, 374)(169, 361, 175, 367)(172, 364, 176, 368)(185, 377, 191, 383)(186, 378, 190, 382)(187, 379, 189, 381)(188, 380, 192, 384)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 395, 587)(389, 581, 394, 586)(391, 583, 401, 593)(392, 584, 400, 592)(393, 585, 405, 597)(396, 588, 411, 603)(397, 589, 409, 601)(398, 590, 414, 606)(399, 591, 416, 608)(402, 594, 422, 614)(403, 595, 420, 612)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 428, 620)(408, 600, 433, 625)(410, 602, 436, 628)(412, 604, 439, 631)(413, 605, 441, 633)(415, 607, 444, 636)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 451, 643)(421, 613, 454, 646)(423, 615, 457, 649)(424, 616, 459, 651)(426, 618, 462, 654)(427, 619, 463, 655)(430, 622, 469, 661)(431, 623, 467, 659)(432, 624, 471, 663)(434, 626, 474, 666)(435, 627, 476, 668)(437, 629, 479, 671)(438, 630, 480, 672)(440, 632, 484, 676)(442, 634, 486, 678)(443, 635, 487, 679)(445, 637, 489, 681)(448, 640, 495, 687)(449, 641, 493, 685)(450, 642, 497, 689)(452, 644, 500, 692)(453, 645, 502, 694)(455, 647, 505, 697)(456, 648, 506, 698)(458, 650, 510, 702)(460, 652, 512, 704)(461, 653, 513, 705)(464, 656, 501, 693)(465, 657, 503, 695)(466, 658, 518, 710)(468, 660, 519, 711)(470, 662, 521, 713)(472, 664, 523, 715)(473, 665, 514, 706)(475, 667, 490, 682)(477, 669, 491, 683)(478, 670, 509, 701)(481, 673, 529, 721)(482, 674, 528, 720)(483, 675, 504, 696)(485, 677, 515, 707)(488, 680, 499, 691)(492, 684, 535, 727)(494, 686, 536, 728)(496, 688, 538, 730)(498, 690, 540, 732)(507, 699, 546, 738)(508, 700, 545, 737)(511, 703, 532, 724)(516, 708, 549, 741)(517, 709, 550, 742)(520, 712, 553, 745)(522, 714, 556, 748)(524, 716, 547, 739)(525, 717, 548, 740)(526, 718, 552, 744)(527, 719, 551, 743)(530, 722, 541, 733)(531, 723, 542, 734)(533, 725, 559, 751)(534, 726, 560, 752)(537, 729, 563, 755)(539, 731, 566, 758)(543, 735, 562, 754)(544, 736, 561, 753)(554, 746, 572, 764)(555, 747, 571, 763)(557, 749, 569, 761)(558, 750, 570, 762)(564, 756, 576, 768)(565, 757, 575, 767)(567, 759, 573, 765)(568, 760, 574, 766)
	L = (1, 388)(2, 391)(3, 394)(4, 397)(5, 385)(6, 400)(7, 403)(8, 386)(9, 406)(10, 409)(11, 387)(12, 404)(13, 389)(14, 415)(15, 417)(16, 420)(17, 390)(18, 398)(19, 392)(20, 426)(21, 428)(22, 431)(23, 393)(24, 432)(25, 395)(26, 437)(27, 439)(28, 396)(29, 440)(30, 422)(31, 423)(32, 446)(33, 449)(34, 399)(35, 450)(36, 401)(37, 455)(38, 457)(39, 402)(40, 458)(41, 411)(42, 412)(43, 464)(44, 467)(45, 405)(46, 410)(47, 407)(48, 472)(49, 474)(50, 408)(51, 475)(52, 469)(53, 470)(54, 481)(55, 462)(56, 485)(57, 486)(58, 413)(59, 482)(60, 414)(61, 490)(62, 493)(63, 416)(64, 421)(65, 418)(66, 498)(67, 500)(68, 419)(69, 501)(70, 495)(71, 496)(72, 507)(73, 444)(74, 511)(75, 512)(76, 424)(77, 508)(78, 425)(79, 503)(80, 502)(81, 427)(82, 517)(83, 429)(84, 492)(85, 521)(86, 430)(87, 433)(88, 434)(89, 524)(90, 523)(91, 489)(92, 491)(93, 435)(94, 525)(95, 436)(96, 528)(97, 443)(98, 438)(99, 530)(100, 441)(101, 442)(102, 515)(103, 529)(104, 531)(105, 477)(106, 476)(107, 445)(108, 534)(109, 447)(110, 466)(111, 538)(112, 448)(113, 451)(114, 452)(115, 541)(116, 540)(117, 463)(118, 465)(119, 453)(120, 542)(121, 454)(122, 545)(123, 461)(124, 456)(125, 547)(126, 459)(127, 460)(128, 532)(129, 546)(130, 548)(131, 484)(132, 468)(133, 533)(134, 536)(135, 549)(136, 554)(137, 479)(138, 555)(139, 471)(140, 478)(141, 473)(142, 557)(143, 558)(144, 487)(145, 480)(146, 488)(147, 483)(148, 510)(149, 494)(150, 516)(151, 519)(152, 559)(153, 564)(154, 505)(155, 565)(156, 497)(157, 504)(158, 499)(159, 567)(160, 568)(161, 513)(162, 506)(163, 514)(164, 509)(165, 560)(166, 518)(167, 569)(168, 570)(169, 571)(170, 522)(171, 520)(172, 572)(173, 527)(174, 526)(175, 550)(176, 535)(177, 573)(178, 574)(179, 575)(180, 539)(181, 537)(182, 576)(183, 544)(184, 543)(185, 552)(186, 551)(187, 556)(188, 553)(189, 562)(190, 561)(191, 566)(192, 563)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2130
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2127 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^2, (R * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2)^2, (Y3 * Y1)^3, (Y1 * Y2)^8, (Y2 * Y1 * Y2 * Y3 * Y1 * Y3)^3, (Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1)^2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 19, 211)(13, 205, 21, 213)(14, 206, 23, 215)(16, 208, 25, 217)(17, 209, 26, 218)(18, 210, 28, 220)(20, 212, 30, 222)(22, 214, 33, 225)(24, 216, 35, 227)(27, 219, 40, 232)(29, 221, 42, 234)(31, 223, 45, 237)(32, 224, 47, 239)(34, 226, 49, 241)(36, 228, 52, 244)(37, 229, 44, 236)(38, 230, 54, 246)(39, 231, 56, 248)(41, 233, 58, 250)(43, 235, 61, 253)(46, 238, 65, 257)(48, 240, 67, 259)(50, 242, 70, 262)(51, 243, 69, 261)(53, 245, 74, 266)(55, 247, 77, 269)(57, 249, 79, 271)(59, 251, 82, 274)(60, 252, 81, 273)(62, 254, 86, 278)(63, 255, 75, 267)(64, 256, 88, 280)(66, 258, 90, 282)(68, 260, 93, 285)(71, 263, 97, 289)(72, 264, 98, 290)(73, 265, 100, 292)(76, 268, 103, 295)(78, 270, 105, 297)(80, 272, 108, 300)(83, 275, 112, 304)(84, 276, 113, 305)(85, 277, 115, 307)(87, 279, 117, 309)(89, 281, 119, 311)(91, 283, 120, 312)(92, 284, 116, 308)(94, 286, 109, 301)(95, 287, 123, 315)(96, 288, 125, 317)(99, 291, 128, 320)(101, 293, 107, 299)(102, 294, 129, 321)(104, 296, 131, 323)(106, 298, 132, 324)(110, 302, 135, 327)(111, 303, 137, 329)(114, 306, 140, 332)(118, 310, 142, 334)(121, 313, 147, 339)(122, 314, 148, 340)(124, 316, 150, 342)(126, 318, 144, 336)(127, 319, 151, 343)(130, 322, 154, 346)(133, 325, 159, 351)(134, 326, 160, 352)(136, 328, 162, 354)(138, 330, 156, 348)(139, 331, 163, 355)(141, 333, 165, 357)(143, 335, 166, 358)(145, 337, 168, 360)(146, 338, 170, 362)(149, 341, 173, 365)(152, 344, 176, 368)(153, 345, 177, 369)(155, 347, 178, 370)(157, 349, 180, 372)(158, 350, 182, 374)(161, 353, 185, 377)(164, 356, 188, 380)(167, 359, 179, 371)(169, 361, 186, 378)(171, 363, 183, 375)(172, 364, 184, 376)(174, 366, 181, 373)(175, 367, 187, 379)(189, 381, 192, 384)(190, 382, 191, 383)(385, 577, 387, 579)(386, 578, 389, 581)(388, 580, 392, 584)(390, 582, 395, 587)(391, 583, 397, 589)(393, 585, 400, 592)(394, 586, 401, 593)(396, 588, 404, 596)(398, 590, 406, 598)(399, 591, 408, 600)(402, 594, 411, 603)(403, 595, 413, 605)(405, 597, 415, 607)(407, 599, 418, 610)(409, 601, 420, 612)(410, 602, 422, 614)(412, 604, 425, 617)(414, 606, 427, 619)(416, 608, 430, 622)(417, 609, 432, 624)(419, 611, 434, 626)(421, 613, 437, 629)(423, 615, 439, 631)(424, 616, 441, 633)(426, 618, 443, 635)(428, 620, 446, 638)(429, 621, 447, 639)(431, 623, 450, 642)(433, 625, 452, 644)(435, 627, 455, 647)(436, 628, 456, 648)(438, 630, 459, 651)(440, 632, 462, 654)(442, 634, 464, 656)(444, 636, 467, 659)(445, 637, 468, 660)(448, 640, 471, 663)(449, 641, 473, 665)(451, 643, 475, 667)(453, 645, 478, 670)(454, 646, 479, 671)(457, 649, 483, 675)(458, 650, 485, 677)(460, 652, 486, 678)(461, 653, 488, 680)(463, 655, 490, 682)(465, 657, 493, 685)(466, 658, 494, 686)(469, 661, 498, 690)(470, 662, 500, 692)(472, 664, 502, 694)(474, 666, 499, 691)(476, 668, 505, 697)(477, 669, 506, 698)(480, 672, 508, 700)(481, 673, 510, 702)(482, 674, 507, 699)(484, 676, 489, 681)(487, 679, 514, 706)(491, 683, 517, 709)(492, 684, 518, 710)(495, 687, 520, 712)(496, 688, 522, 714)(497, 689, 519, 711)(501, 693, 525, 717)(503, 695, 527, 719)(504, 696, 529, 721)(509, 701, 526, 718)(511, 703, 533, 725)(512, 704, 536, 728)(513, 705, 537, 729)(515, 707, 539, 731)(516, 708, 541, 733)(521, 713, 538, 730)(523, 715, 545, 737)(524, 716, 548, 740)(528, 720, 551, 743)(530, 722, 553, 745)(531, 723, 555, 747)(532, 724, 552, 744)(534, 726, 558, 750)(535, 727, 559, 751)(540, 732, 563, 755)(542, 734, 565, 757)(543, 735, 567, 759)(544, 736, 564, 756)(546, 738, 570, 762)(547, 739, 571, 763)(549, 741, 566, 758)(550, 742, 572, 764)(554, 746, 561, 753)(556, 748, 573, 765)(557, 749, 574, 766)(560, 752, 562, 754)(568, 760, 575, 767)(569, 761, 576, 768)
	L = (1, 388)(2, 390)(3, 392)(4, 385)(5, 395)(6, 386)(7, 398)(8, 387)(9, 396)(10, 402)(11, 389)(12, 393)(13, 406)(14, 391)(15, 407)(16, 404)(17, 411)(18, 394)(19, 412)(20, 400)(21, 416)(22, 397)(23, 399)(24, 418)(25, 421)(26, 423)(27, 401)(28, 403)(29, 425)(30, 428)(31, 430)(32, 405)(33, 431)(34, 408)(35, 435)(36, 437)(37, 409)(38, 439)(39, 410)(40, 440)(41, 413)(42, 444)(43, 446)(44, 414)(45, 448)(46, 415)(47, 417)(48, 450)(49, 453)(50, 455)(51, 419)(52, 457)(53, 420)(54, 460)(55, 422)(56, 424)(57, 462)(58, 465)(59, 467)(60, 426)(61, 469)(62, 427)(63, 471)(64, 429)(65, 472)(66, 432)(67, 476)(68, 478)(69, 433)(70, 480)(71, 434)(72, 483)(73, 436)(74, 484)(75, 486)(76, 438)(77, 487)(78, 441)(79, 491)(80, 493)(81, 442)(82, 495)(83, 443)(84, 498)(85, 445)(86, 499)(87, 447)(88, 449)(89, 502)(90, 500)(91, 505)(92, 451)(93, 492)(94, 452)(95, 508)(96, 454)(97, 509)(98, 511)(99, 456)(100, 458)(101, 489)(102, 459)(103, 461)(104, 514)(105, 485)(106, 517)(107, 463)(108, 477)(109, 464)(110, 520)(111, 466)(112, 521)(113, 523)(114, 468)(115, 470)(116, 474)(117, 513)(118, 473)(119, 528)(120, 530)(121, 475)(122, 518)(123, 533)(124, 479)(125, 481)(126, 526)(127, 482)(128, 535)(129, 501)(130, 488)(131, 540)(132, 542)(133, 490)(134, 506)(135, 545)(136, 494)(137, 496)(138, 538)(139, 497)(140, 547)(141, 537)(142, 510)(143, 551)(144, 503)(145, 553)(146, 504)(147, 554)(148, 556)(149, 507)(150, 557)(151, 512)(152, 559)(153, 525)(154, 522)(155, 563)(156, 515)(157, 565)(158, 516)(159, 566)(160, 568)(161, 519)(162, 569)(163, 524)(164, 571)(165, 567)(166, 562)(167, 527)(168, 573)(169, 529)(170, 531)(171, 561)(172, 532)(173, 534)(174, 574)(175, 536)(176, 572)(177, 555)(178, 550)(179, 539)(180, 575)(181, 541)(182, 543)(183, 549)(184, 544)(185, 546)(186, 576)(187, 548)(188, 560)(189, 552)(190, 558)(191, 564)(192, 570)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2131
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2128 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y2 * Y3^-1)^2, (R * Y3)^2, (R * Y1)^2, R * Y2 * Y3^-2 * R * Y2, R * Y3^2 * Y2 * R * Y2, (Y3 * Y1)^3, Y3^8, Y2 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1, Y2 * Y1 * Y3^-3 * Y1 * Y2 * Y3^-2 * Y1, Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y2, R * Y1 * Y3^3 * Y1 * Y2 * Y1 * R * Y2, Y3 * Y1 * Y3^-1 * Y2 * Y3^2 * Y1 * Y3^-2 * Y2, Y3^-1 * Y2 * Y1 * R * Y3 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * R * Y1, (Y2 * Y3^-1 * Y1 * Y3^-2 * Y1)^2, Y2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3 * Y1 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194)(3, 195, 9, 201)(4, 196, 12, 204)(5, 197, 14, 206)(6, 198, 16, 208)(7, 199, 19, 211)(8, 200, 21, 213)(10, 202, 26, 218)(11, 203, 28, 220)(13, 205, 32, 224)(15, 207, 36, 228)(17, 209, 41, 233)(18, 210, 43, 235)(20, 212, 47, 239)(22, 214, 51, 243)(23, 215, 53, 245)(24, 216, 56, 248)(25, 217, 58, 250)(27, 219, 62, 254)(29, 221, 66, 258)(30, 222, 68, 260)(31, 223, 70, 262)(33, 225, 74, 266)(34, 226, 76, 268)(35, 227, 78, 270)(37, 229, 82, 274)(38, 230, 83, 275)(39, 231, 86, 278)(40, 232, 88, 280)(42, 234, 92, 284)(44, 236, 96, 288)(45, 237, 98, 290)(46, 238, 100, 292)(48, 240, 104, 296)(49, 241, 106, 298)(50, 242, 108, 300)(52, 244, 112, 304)(54, 246, 90, 282)(55, 247, 117, 309)(57, 249, 120, 312)(59, 251, 124, 316)(60, 252, 84, 276)(61, 253, 126, 318)(63, 255, 93, 285)(64, 256, 131, 323)(65, 257, 133, 325)(67, 259, 135, 327)(69, 261, 137, 329)(71, 263, 140, 332)(72, 264, 141, 333)(73, 265, 142, 334)(75, 267, 143, 335)(77, 269, 146, 338)(79, 271, 149, 341)(80, 272, 121, 313)(81, 273, 150, 342)(85, 277, 155, 347)(87, 279, 158, 350)(89, 281, 162, 354)(91, 283, 164, 356)(94, 286, 169, 361)(95, 287, 171, 363)(97, 289, 173, 365)(99, 291, 175, 367)(101, 293, 178, 370)(102, 294, 179, 371)(103, 295, 180, 372)(105, 297, 181, 373)(107, 299, 184, 376)(109, 301, 187, 379)(110, 302, 159, 351)(111, 303, 188, 380)(113, 305, 151, 343)(114, 306, 156, 348)(115, 307, 163, 355)(116, 308, 189, 381)(118, 310, 152, 344)(119, 311, 176, 368)(122, 314, 182, 374)(123, 315, 185, 377)(125, 317, 153, 345)(127, 319, 165, 357)(128, 320, 190, 382)(129, 321, 168, 360)(130, 322, 167, 359)(132, 324, 170, 362)(134, 326, 174, 366)(136, 328, 172, 364)(138, 330, 157, 349)(139, 331, 177, 369)(144, 336, 160, 352)(145, 337, 183, 375)(147, 339, 161, 353)(148, 340, 186, 378)(154, 346, 191, 383)(166, 358, 192, 384)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 395, 587)(389, 581, 394, 586)(391, 583, 402, 594)(392, 584, 401, 593)(393, 585, 407, 599)(396, 588, 414, 606)(397, 589, 413, 605)(398, 590, 418, 610)(399, 591, 411, 603)(400, 592, 422, 614)(403, 595, 429, 621)(404, 596, 428, 620)(405, 597, 433, 625)(406, 598, 426, 618)(408, 600, 439, 631)(409, 601, 438, 630)(410, 602, 444, 636)(412, 604, 448, 640)(415, 607, 453, 645)(416, 608, 456, 648)(417, 609, 451, 643)(419, 611, 461, 653)(420, 612, 464, 656)(421, 613, 447, 639)(423, 615, 469, 661)(424, 616, 468, 660)(425, 617, 474, 666)(427, 619, 478, 670)(430, 622, 483, 675)(431, 623, 486, 678)(432, 624, 481, 673)(434, 626, 491, 683)(435, 627, 494, 686)(436, 628, 477, 669)(437, 629, 497, 689)(440, 632, 502, 694)(441, 633, 496, 688)(442, 634, 506, 698)(443, 635, 500, 692)(445, 637, 509, 701)(446, 638, 512, 704)(449, 641, 516, 708)(450, 642, 488, 680)(452, 644, 499, 691)(454, 646, 522, 714)(455, 647, 513, 705)(457, 649, 511, 703)(458, 650, 480, 672)(459, 651, 514, 706)(460, 652, 528, 720)(462, 654, 531, 723)(463, 655, 525, 717)(465, 657, 520, 712)(466, 658, 471, 663)(467, 659, 535, 727)(470, 662, 540, 732)(472, 664, 544, 736)(473, 665, 538, 730)(475, 667, 547, 739)(476, 668, 550, 742)(479, 671, 554, 746)(482, 674, 537, 729)(484, 676, 560, 752)(485, 677, 551, 743)(487, 679, 549, 741)(489, 681, 552, 744)(490, 682, 566, 758)(492, 684, 569, 761)(493, 685, 563, 755)(495, 687, 558, 750)(498, 690, 559, 751)(501, 693, 541, 733)(503, 695, 539, 731)(504, 696, 561, 753)(505, 697, 572, 764)(507, 699, 562, 754)(508, 700, 570, 762)(510, 702, 553, 745)(515, 707, 548, 740)(517, 709, 564, 756)(518, 710, 574, 766)(519, 711, 571, 763)(521, 713, 536, 728)(523, 715, 542, 734)(524, 716, 545, 737)(526, 718, 555, 747)(527, 719, 568, 760)(529, 721, 573, 765)(530, 722, 565, 757)(532, 724, 546, 738)(533, 725, 557, 749)(534, 726, 543, 735)(556, 748, 576, 768)(567, 759, 575, 767)
	L = (1, 388)(2, 391)(3, 394)(4, 397)(5, 385)(6, 401)(7, 404)(8, 386)(9, 408)(10, 411)(11, 387)(12, 405)(13, 417)(14, 419)(15, 389)(16, 423)(17, 426)(18, 390)(19, 398)(20, 432)(21, 434)(22, 392)(23, 438)(24, 441)(25, 393)(26, 442)(27, 447)(28, 449)(29, 395)(30, 453)(31, 396)(32, 454)(33, 459)(34, 429)(35, 463)(36, 465)(37, 399)(38, 468)(39, 471)(40, 400)(41, 472)(42, 477)(43, 479)(44, 402)(45, 483)(46, 403)(47, 484)(48, 489)(49, 414)(50, 493)(51, 495)(52, 406)(53, 498)(54, 500)(55, 407)(56, 412)(57, 505)(58, 507)(59, 409)(60, 509)(61, 410)(62, 510)(63, 514)(64, 502)(65, 518)(66, 473)(67, 413)(68, 520)(69, 513)(70, 523)(71, 415)(72, 511)(73, 416)(74, 526)(75, 421)(76, 529)(77, 418)(78, 420)(79, 515)(80, 531)(81, 499)(82, 469)(83, 536)(84, 538)(85, 422)(86, 427)(87, 543)(88, 545)(89, 424)(90, 547)(91, 425)(92, 548)(93, 552)(94, 540)(95, 556)(96, 443)(97, 428)(98, 558)(99, 551)(100, 561)(101, 430)(102, 549)(103, 431)(104, 564)(105, 436)(106, 567)(107, 433)(108, 435)(109, 553)(110, 569)(111, 537)(112, 439)(113, 452)(114, 571)(115, 437)(116, 458)(117, 565)(118, 539)(119, 440)(120, 560)(121, 555)(122, 444)(123, 542)(124, 557)(125, 457)(126, 563)(127, 445)(128, 455)(129, 446)(130, 451)(131, 550)(132, 448)(133, 450)(134, 460)(135, 559)(136, 464)(137, 535)(138, 456)(139, 562)(140, 544)(141, 461)(142, 572)(143, 573)(144, 574)(145, 568)(146, 541)(147, 546)(148, 462)(149, 570)(150, 466)(151, 482)(152, 533)(153, 467)(154, 488)(155, 527)(156, 501)(157, 470)(158, 522)(159, 517)(160, 474)(161, 504)(162, 519)(163, 487)(164, 525)(165, 475)(166, 485)(167, 476)(168, 481)(169, 512)(170, 478)(171, 480)(172, 490)(173, 521)(174, 494)(175, 497)(176, 486)(177, 524)(178, 506)(179, 491)(180, 534)(181, 575)(182, 576)(183, 530)(184, 503)(185, 508)(186, 492)(187, 532)(188, 496)(189, 528)(190, 516)(191, 566)(192, 554)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2133
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2129 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, (Y3^-1 * Y2)^2, (R * Y1)^2, (R * Y3)^2, (Y1 * Y3)^3, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1 * Y2)^2, (Y3^-1 * Y1)^3, Y3^-2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2, Y3^8, Y3^-1 * Y1 * Y2 * Y3 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, Y3^-1 * Y2 * Y1 * Y3^-3 * Y1 * Y3^2 * Y1 * Y3^-2 * Y2 * Y1 ]
Map:: polytopal non-degenerate
	R = (1, 193, 2, 194)(3, 195, 9, 201)(4, 196, 12, 204)(5, 197, 14, 206)(6, 198, 16, 208)(7, 199, 19, 211)(8, 200, 21, 213)(10, 202, 26, 218)(11, 203, 18, 210)(13, 205, 31, 223)(15, 207, 33, 225)(17, 209, 38, 230)(20, 212, 43, 235)(22, 214, 45, 237)(23, 215, 47, 239)(24, 216, 40, 232)(25, 217, 49, 241)(27, 219, 53, 245)(28, 220, 36, 228)(29, 221, 56, 248)(30, 222, 58, 250)(32, 224, 62, 254)(34, 226, 64, 256)(35, 227, 65, 257)(37, 229, 67, 259)(39, 231, 71, 263)(41, 233, 74, 266)(42, 234, 76, 268)(44, 236, 80, 272)(46, 238, 82, 274)(48, 240, 85, 277)(50, 242, 87, 279)(51, 243, 89, 281)(52, 244, 91, 283)(54, 246, 95, 287)(55, 247, 97, 289)(57, 249, 100, 292)(59, 251, 102, 294)(60, 252, 104, 296)(61, 253, 106, 298)(63, 255, 110, 302)(66, 258, 113, 305)(68, 260, 115, 307)(69, 261, 117, 309)(70, 262, 119, 311)(72, 264, 123, 315)(73, 265, 125, 317)(75, 267, 128, 320)(77, 269, 130, 322)(78, 270, 132, 324)(79, 271, 134, 326)(81, 273, 138, 330)(83, 275, 111, 303)(84, 276, 112, 304)(86, 278, 141, 333)(88, 280, 142, 334)(90, 282, 135, 327)(92, 284, 133, 325)(93, 285, 145, 337)(94, 286, 147, 339)(96, 288, 151, 343)(98, 290, 126, 318)(99, 291, 127, 319)(101, 293, 154, 346)(103, 295, 155, 347)(105, 297, 120, 312)(107, 299, 118, 310)(108, 300, 150, 342)(109, 301, 149, 341)(114, 306, 162, 354)(116, 308, 163, 355)(121, 313, 166, 358)(122, 314, 168, 360)(124, 316, 172, 364)(129, 321, 175, 367)(131, 323, 176, 368)(136, 328, 171, 363)(137, 329, 170, 362)(139, 331, 181, 373)(140, 332, 182, 374)(143, 335, 167, 359)(144, 336, 169, 361)(146, 338, 164, 356)(148, 340, 165, 357)(152, 344, 185, 377)(153, 345, 186, 378)(156, 348, 179, 371)(157, 349, 180, 372)(158, 350, 177, 369)(159, 351, 178, 370)(160, 352, 187, 379)(161, 353, 188, 380)(173, 365, 191, 383)(174, 366, 192, 384)(183, 375, 189, 381)(184, 376, 190, 382)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 395, 587)(389, 581, 394, 586)(391, 583, 402, 594)(392, 584, 401, 593)(393, 585, 407, 599)(396, 588, 413, 605)(397, 589, 412, 604)(398, 590, 408, 600)(399, 591, 411, 603)(400, 592, 419, 611)(403, 595, 425, 617)(404, 596, 424, 616)(405, 597, 420, 612)(406, 598, 423, 615)(409, 601, 432, 624)(410, 602, 435, 627)(414, 606, 441, 633)(415, 607, 444, 636)(416, 608, 439, 631)(417, 609, 433, 625)(418, 610, 438, 630)(421, 613, 450, 642)(422, 614, 453, 645)(426, 618, 459, 651)(427, 619, 462, 654)(428, 620, 457, 649)(429, 621, 451, 643)(430, 622, 456, 648)(431, 623, 467, 659)(434, 626, 470, 662)(436, 628, 474, 666)(437, 629, 477, 669)(440, 632, 482, 674)(442, 634, 481, 673)(443, 635, 485, 677)(445, 637, 489, 681)(446, 638, 492, 684)(447, 639, 480, 672)(448, 640, 475, 667)(449, 641, 495, 687)(452, 644, 498, 690)(454, 646, 502, 694)(455, 647, 505, 697)(458, 650, 510, 702)(460, 652, 509, 701)(461, 653, 513, 705)(463, 655, 517, 709)(464, 656, 520, 712)(465, 657, 508, 700)(466, 658, 503, 695)(468, 660, 499, 691)(469, 661, 523, 715)(471, 663, 496, 688)(472, 664, 515, 707)(473, 665, 516, 708)(476, 668, 527, 719)(478, 670, 530, 722)(479, 671, 533, 725)(483, 675, 514, 706)(484, 676, 536, 728)(486, 678, 511, 703)(487, 679, 500, 692)(488, 680, 501, 693)(490, 682, 535, 727)(491, 683, 540, 732)(493, 685, 542, 734)(494, 686, 531, 723)(497, 689, 544, 736)(504, 696, 548, 740)(506, 698, 551, 743)(507, 699, 554, 746)(512, 704, 557, 749)(518, 710, 556, 748)(519, 711, 561, 753)(521, 713, 563, 755)(522, 714, 552, 744)(524, 716, 549, 741)(525, 717, 567, 759)(526, 718, 566, 758)(528, 720, 545, 737)(529, 721, 565, 757)(532, 724, 564, 756)(534, 726, 569, 761)(537, 729, 562, 754)(538, 730, 568, 760)(539, 731, 570, 762)(541, 733, 558, 750)(543, 735, 553, 745)(546, 738, 573, 765)(547, 739, 572, 764)(550, 742, 571, 763)(555, 747, 575, 767)(559, 751, 574, 766)(560, 752, 576, 768)
	L = (1, 388)(2, 391)(3, 394)(4, 397)(5, 385)(6, 401)(7, 404)(8, 386)(9, 408)(10, 411)(11, 387)(12, 405)(13, 416)(14, 407)(15, 389)(16, 420)(17, 423)(18, 390)(19, 398)(20, 428)(21, 419)(22, 392)(23, 432)(24, 425)(25, 393)(26, 433)(27, 438)(28, 395)(29, 441)(30, 396)(31, 442)(32, 447)(33, 435)(34, 399)(35, 450)(36, 413)(37, 400)(38, 451)(39, 456)(40, 402)(41, 459)(42, 403)(43, 460)(44, 465)(45, 453)(46, 406)(47, 417)(48, 470)(49, 467)(50, 409)(51, 474)(52, 410)(53, 475)(54, 480)(55, 412)(56, 481)(57, 485)(58, 482)(59, 414)(60, 489)(61, 415)(62, 490)(63, 418)(64, 477)(65, 429)(66, 498)(67, 495)(68, 421)(69, 502)(70, 422)(71, 503)(72, 508)(73, 424)(74, 509)(75, 513)(76, 510)(77, 426)(78, 517)(79, 427)(80, 518)(81, 430)(82, 505)(83, 499)(84, 431)(85, 496)(86, 515)(87, 523)(88, 434)(89, 448)(90, 527)(91, 516)(92, 436)(93, 530)(94, 437)(95, 531)(96, 439)(97, 444)(98, 514)(99, 440)(100, 511)(101, 500)(102, 536)(103, 443)(104, 535)(105, 540)(106, 501)(107, 445)(108, 542)(109, 446)(110, 533)(111, 471)(112, 449)(113, 468)(114, 487)(115, 544)(116, 452)(117, 466)(118, 548)(119, 488)(120, 454)(121, 551)(122, 455)(123, 552)(124, 457)(125, 462)(126, 486)(127, 458)(128, 483)(129, 472)(130, 557)(131, 461)(132, 556)(133, 561)(134, 473)(135, 463)(136, 563)(137, 464)(138, 554)(139, 549)(140, 469)(141, 566)(142, 567)(143, 545)(144, 476)(145, 494)(146, 564)(147, 565)(148, 478)(149, 569)(150, 479)(151, 492)(152, 562)(153, 484)(154, 570)(155, 568)(156, 558)(157, 491)(158, 553)(159, 493)(160, 528)(161, 497)(162, 572)(163, 573)(164, 524)(165, 504)(166, 522)(167, 543)(168, 571)(169, 506)(170, 575)(171, 507)(172, 520)(173, 541)(174, 512)(175, 576)(176, 574)(177, 537)(178, 519)(179, 532)(180, 521)(181, 526)(182, 529)(183, 538)(184, 525)(185, 539)(186, 534)(187, 547)(188, 550)(189, 559)(190, 546)(191, 560)(192, 555)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2132
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2130 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y2)^2, R * Y3^2 * Y2 * R * Y2, (R * Y2 * Y3^-1)^2, Y3^6, Y3^2 * Y1^-1 * Y3^-2 * Y2 * Y1^-1 * Y2, Y3^3 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1^-1 * R * Y2 * Y1^-1 * Y2 * R * Y2 * Y1, (Y1^-1 * Y3 * Y2 * Y1 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y3^-1, Y1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 10, 202, 12, 204)(4, 196, 14, 206, 16, 208)(6, 198, 19, 211, 8, 200)(7, 199, 21, 213, 23, 215)(9, 201, 26, 218, 18, 210)(11, 203, 31, 223, 33, 225)(13, 205, 36, 228, 29, 221)(15, 207, 40, 232, 42, 234)(17, 209, 45, 237, 46, 238)(20, 212, 52, 244, 50, 242)(22, 214, 56, 248, 58, 250)(24, 216, 61, 253, 54, 246)(25, 217, 51, 243, 64, 256)(27, 219, 68, 260, 66, 258)(28, 220, 69, 261, 71, 263)(30, 222, 74, 266, 35, 227)(32, 224, 78, 270, 57, 249)(34, 226, 81, 273, 82, 274)(37, 229, 88, 280, 86, 278)(38, 230, 89, 281, 90, 282)(39, 231, 91, 283, 44, 236)(41, 233, 70, 262, 92, 284)(43, 235, 94, 286, 95, 287)(47, 239, 101, 293, 97, 289)(48, 240, 67, 259, 102, 294)(49, 241, 103, 295, 104, 296)(53, 245, 108, 300, 110, 302)(55, 247, 113, 305, 60, 252)(59, 251, 115, 307, 116, 308)(62, 254, 120, 312, 118, 310)(63, 255, 109, 301, 121, 313)(65, 257, 123, 315, 124, 316)(72, 264, 133, 325, 129, 321)(73, 265, 87, 279, 136, 328)(75, 267, 140, 332, 138, 330)(76, 268, 141, 333, 93, 285)(77, 269, 142, 334, 80, 272)(79, 271, 143, 335, 144, 336)(83, 275, 150, 342, 146, 338)(84, 276, 139, 331, 151, 343)(85, 277, 152, 344, 106, 298)(96, 288, 158, 350, 159, 351)(98, 290, 162, 354, 100, 292)(99, 291, 164, 356, 165, 357)(105, 297, 170, 362, 168, 360)(107, 299, 171, 363, 122, 314)(111, 303, 156, 348, 173, 365)(112, 304, 119, 311, 128, 320)(114, 306, 157, 349, 145, 337)(117, 309, 137, 329, 126, 318)(125, 317, 178, 370, 148, 340)(127, 319, 179, 371, 166, 358)(130, 322, 160, 352, 132, 324)(131, 323, 169, 361, 163, 355)(134, 326, 182, 374, 176, 368)(135, 327, 180, 372, 177, 369)(147, 339, 167, 359, 149, 341)(153, 345, 190, 382, 189, 381)(154, 346, 191, 383, 183, 375)(155, 347, 172, 364, 161, 353)(174, 366, 187, 379, 185, 377)(175, 367, 181, 373, 186, 378)(184, 376, 192, 384, 188, 380)(385, 577, 387, 579)(386, 578, 391, 583)(388, 580, 397, 589)(389, 581, 401, 593)(390, 582, 395, 587)(392, 584, 408, 600)(393, 585, 406, 598)(394, 586, 412, 604)(396, 588, 418, 610)(398, 590, 422, 614)(399, 591, 421, 613)(400, 592, 427, 619)(402, 594, 431, 623)(403, 595, 433, 625)(404, 596, 416, 608)(405, 597, 437, 629)(407, 599, 443, 635)(409, 601, 446, 638)(410, 602, 449, 641)(411, 603, 441, 633)(413, 605, 456, 648)(414, 606, 454, 646)(415, 607, 460, 652)(417, 609, 463, 655)(419, 611, 467, 659)(420, 612, 469, 661)(423, 615, 462, 654)(424, 616, 461, 653)(425, 617, 442, 634)(426, 618, 459, 651)(428, 620, 468, 660)(429, 621, 480, 672)(430, 622, 483, 675)(432, 624, 464, 656)(434, 626, 489, 681)(435, 627, 472, 664)(436, 628, 471, 663)(438, 630, 495, 687)(439, 631, 493, 685)(440, 632, 491, 683)(444, 636, 490, 682)(445, 637, 501, 693)(447, 639, 474, 666)(448, 640, 498, 690)(450, 642, 509, 701)(451, 643, 504, 696)(452, 644, 503, 695)(453, 645, 512, 704)(455, 647, 515, 707)(457, 649, 518, 710)(458, 650, 521, 713)(465, 657, 529, 721)(466, 658, 532, 724)(470, 662, 537, 729)(473, 665, 511, 703)(475, 667, 539, 731)(476, 668, 538, 730)(477, 669, 519, 711)(478, 670, 531, 723)(479, 671, 540, 732)(481, 673, 544, 736)(482, 674, 527, 719)(484, 676, 510, 702)(485, 677, 534, 726)(486, 678, 547, 739)(487, 679, 551, 743)(488, 680, 516, 708)(492, 684, 556, 748)(494, 686, 524, 716)(496, 688, 558, 750)(497, 689, 530, 722)(499, 691, 553, 745)(500, 692, 535, 727)(502, 694, 560, 752)(505, 697, 561, 753)(506, 698, 559, 751)(507, 699, 533, 725)(508, 700, 517, 709)(513, 705, 565, 757)(514, 706, 564, 756)(520, 712, 542, 734)(522, 714, 548, 740)(523, 715, 566, 758)(525, 717, 568, 760)(526, 718, 569, 761)(528, 720, 570, 762)(536, 728, 546, 738)(541, 733, 543, 735)(545, 737, 574, 766)(549, 741, 552, 744)(550, 742, 575, 767)(554, 746, 571, 763)(555, 747, 572, 764)(557, 749, 567, 759)(562, 754, 573, 765)(563, 755, 576, 768)
	L = (1, 388)(2, 392)(3, 395)(4, 399)(5, 402)(6, 385)(7, 406)(8, 409)(9, 386)(10, 413)(11, 416)(12, 419)(13, 387)(14, 389)(15, 425)(16, 428)(17, 422)(18, 432)(19, 434)(20, 390)(21, 438)(22, 441)(23, 444)(24, 391)(25, 447)(26, 450)(27, 393)(28, 454)(29, 457)(30, 394)(31, 396)(32, 442)(33, 464)(34, 460)(35, 468)(36, 470)(37, 397)(38, 462)(39, 398)(40, 400)(41, 404)(42, 477)(43, 461)(44, 467)(45, 481)(46, 484)(47, 401)(48, 463)(49, 472)(50, 490)(51, 403)(52, 476)(53, 493)(54, 496)(55, 405)(56, 407)(57, 474)(58, 421)(59, 491)(60, 489)(61, 502)(62, 408)(63, 411)(64, 506)(65, 504)(66, 510)(67, 410)(68, 505)(69, 513)(70, 426)(71, 516)(72, 412)(73, 519)(74, 522)(75, 414)(76, 424)(77, 415)(78, 417)(79, 423)(80, 431)(81, 530)(82, 533)(83, 418)(84, 427)(85, 436)(86, 488)(87, 420)(88, 440)(89, 430)(90, 446)(91, 528)(92, 455)(93, 518)(94, 535)(95, 541)(96, 527)(97, 545)(98, 429)(99, 511)(100, 509)(101, 526)(102, 550)(103, 552)(104, 515)(105, 433)(106, 443)(107, 435)(108, 557)(109, 448)(110, 517)(111, 437)(112, 559)(113, 529)(114, 439)(115, 536)(116, 531)(117, 452)(118, 508)(119, 445)(120, 473)(121, 494)(122, 558)(123, 532)(124, 524)(125, 449)(126, 483)(127, 451)(128, 564)(129, 492)(130, 453)(131, 538)(132, 537)(133, 560)(134, 456)(135, 459)(136, 567)(137, 566)(138, 507)(139, 458)(140, 561)(141, 466)(142, 479)(143, 486)(144, 543)(145, 478)(146, 571)(147, 465)(148, 568)(149, 548)(150, 475)(151, 572)(152, 573)(153, 469)(154, 471)(155, 485)(156, 569)(157, 570)(158, 514)(159, 540)(160, 480)(161, 575)(162, 553)(163, 482)(164, 521)(165, 551)(166, 574)(167, 499)(168, 576)(169, 487)(170, 497)(171, 500)(172, 565)(173, 542)(174, 495)(175, 498)(176, 501)(177, 503)(178, 546)(179, 549)(180, 520)(181, 512)(182, 525)(183, 556)(184, 523)(185, 534)(186, 539)(187, 555)(188, 554)(189, 563)(190, 544)(191, 547)(192, 562)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2126
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2131 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y3 * Y1)^2, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, Y2 * Y3^-2 * Y1^-1 * Y2 * Y1, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^2 * Y1^-1)^4, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 10, 202, 12, 204)(4, 196, 14, 206, 16, 208)(6, 198, 19, 211, 8, 200)(7, 199, 21, 213, 23, 215)(9, 201, 26, 218, 18, 210)(11, 203, 29, 221, 31, 223)(13, 205, 34, 226, 24, 216)(15, 207, 38, 230, 40, 232)(17, 209, 35, 227, 43, 235)(20, 212, 46, 238, 32, 224)(22, 214, 48, 240, 50, 242)(25, 217, 45, 237, 54, 246)(27, 219, 56, 248, 51, 243)(28, 220, 57, 249, 33, 225)(30, 222, 60, 252, 62, 254)(36, 228, 66, 258, 68, 260)(37, 229, 69, 261, 42, 234)(39, 231, 73, 265, 63, 255)(41, 233, 61, 253, 75, 267)(44, 236, 55, 247, 77, 269)(47, 239, 80, 272, 52, 244)(49, 241, 83, 275, 84, 276)(53, 245, 88, 280, 85, 277)(58, 250, 79, 271, 94, 286)(59, 251, 95, 287, 64, 256)(65, 257, 92, 284, 101, 293)(67, 259, 103, 295, 104, 296)(70, 262, 108, 300, 105, 297)(71, 263, 109, 301, 111, 303)(72, 264, 112, 304, 74, 266)(76, 268, 107, 299, 116, 308)(78, 270, 118, 310, 89, 281)(81, 273, 91, 283, 122, 314)(82, 274, 123, 315, 86, 278)(87, 279, 120, 312, 129, 321)(90, 282, 132, 324, 117, 309)(93, 285, 135, 327, 136, 328)(96, 288, 140, 332, 137, 329)(97, 289, 114, 306, 142, 334)(98, 290, 143, 335, 99, 291)(100, 292, 139, 331, 146, 338)(102, 294, 148, 340, 106, 298)(110, 302, 156, 348, 157, 349)(113, 305, 161, 353, 158, 350)(115, 307, 160, 352, 133, 325)(119, 311, 164, 356, 138, 330)(121, 313, 165, 357, 166, 358)(124, 316, 168, 360, 167, 359)(125, 317, 130, 322, 170, 362)(126, 318, 171, 363, 127, 319)(128, 320, 159, 351, 155, 347)(131, 323, 163, 355, 153, 345)(134, 326, 152, 344, 147, 339)(141, 333, 179, 371, 180, 372)(144, 336, 184, 376, 181, 373)(145, 337, 183, 375, 172, 364)(149, 341, 154, 346, 186, 378)(150, 342, 187, 379, 151, 343)(162, 354, 169, 361, 182, 374)(173, 365, 192, 384, 188, 380)(174, 366, 185, 377, 191, 383)(175, 367, 178, 370, 190, 382)(176, 368, 189, 381, 177, 369)(385, 577, 387, 579)(386, 578, 391, 583)(388, 580, 397, 589)(389, 581, 401, 593)(390, 582, 395, 587)(392, 584, 408, 600)(393, 585, 406, 598)(394, 586, 409, 601)(396, 588, 416, 608)(398, 590, 420, 612)(399, 591, 419, 611)(400, 592, 425, 617)(402, 594, 418, 610)(403, 595, 417, 609)(404, 596, 414, 606)(405, 597, 428, 620)(407, 599, 435, 627)(410, 602, 436, 628)(411, 603, 433, 625)(412, 604, 437, 629)(413, 605, 442, 634)(415, 607, 447, 639)(421, 613, 451, 643)(422, 614, 455, 647)(423, 615, 445, 637)(424, 616, 446, 638)(426, 618, 427, 619)(429, 621, 449, 641)(430, 622, 448, 640)(431, 623, 454, 646)(432, 624, 465, 657)(434, 626, 469, 661)(438, 630, 468, 660)(439, 631, 471, 663)(440, 632, 470, 662)(441, 633, 473, 665)(443, 635, 477, 669)(444, 636, 481, 673)(450, 642, 460, 652)(452, 644, 489, 681)(453, 645, 490, 682)(456, 648, 494, 686)(457, 649, 483, 675)(458, 650, 459, 651)(461, 653, 488, 680)(462, 654, 480, 672)(463, 655, 484, 676)(464, 656, 501, 693)(466, 658, 505, 697)(467, 659, 509, 701)(472, 664, 511, 703)(474, 666, 508, 700)(475, 667, 512, 704)(476, 668, 515, 707)(478, 670, 521, 713)(479, 671, 522, 714)(482, 674, 525, 717)(485, 677, 520, 712)(486, 678, 497, 689)(487, 679, 533, 725)(491, 683, 536, 728)(492, 684, 535, 727)(493, 685, 499, 691)(495, 687, 542, 734)(496, 688, 543, 735)(498, 690, 529, 721)(500, 692, 541, 733)(502, 694, 531, 723)(503, 695, 528, 720)(504, 696, 548, 740)(506, 698, 551, 743)(507, 699, 544, 736)(510, 702, 553, 745)(513, 705, 550, 742)(514, 706, 557, 749)(516, 708, 523, 715)(517, 709, 556, 748)(518, 710, 558, 750)(519, 711, 559, 751)(524, 716, 561, 753)(526, 718, 565, 757)(527, 719, 566, 758)(530, 722, 564, 756)(532, 724, 547, 739)(534, 726, 569, 761)(537, 729, 572, 764)(538, 730, 568, 760)(539, 731, 546, 738)(540, 732, 573, 765)(545, 737, 562, 754)(549, 741, 574, 766)(552, 744, 560, 752)(554, 746, 567, 759)(555, 747, 575, 767)(563, 755, 571, 763)(570, 762, 576, 768)
	L = (1, 388)(2, 392)(3, 395)(4, 399)(5, 402)(6, 385)(7, 406)(8, 409)(9, 386)(10, 408)(11, 414)(12, 417)(13, 387)(14, 389)(15, 423)(16, 426)(17, 420)(18, 428)(19, 416)(20, 390)(21, 418)(22, 433)(23, 436)(24, 391)(25, 437)(26, 435)(27, 393)(28, 394)(29, 396)(30, 445)(31, 448)(32, 442)(33, 449)(34, 401)(35, 397)(36, 451)(37, 398)(38, 400)(39, 404)(40, 458)(41, 455)(42, 460)(43, 425)(44, 454)(45, 403)(46, 447)(47, 405)(48, 407)(49, 412)(50, 470)(51, 465)(52, 471)(53, 411)(54, 473)(55, 410)(56, 469)(57, 468)(58, 477)(59, 413)(60, 415)(61, 419)(62, 483)(63, 481)(64, 484)(65, 480)(66, 427)(67, 431)(68, 490)(69, 489)(70, 421)(71, 494)(72, 422)(73, 424)(74, 499)(75, 446)(76, 497)(77, 501)(78, 429)(79, 430)(80, 488)(81, 505)(82, 432)(83, 434)(84, 511)(85, 509)(86, 512)(87, 508)(88, 438)(89, 515)(90, 439)(91, 440)(92, 441)(93, 462)(94, 522)(95, 521)(96, 443)(97, 525)(98, 444)(99, 529)(100, 528)(101, 531)(102, 450)(103, 452)(104, 535)(105, 533)(106, 536)(107, 453)(108, 461)(109, 459)(110, 486)(111, 543)(112, 542)(113, 456)(114, 457)(115, 546)(116, 547)(117, 548)(118, 520)(119, 463)(120, 464)(121, 474)(122, 544)(123, 551)(124, 466)(125, 553)(126, 467)(127, 557)(128, 556)(129, 523)(130, 472)(131, 558)(132, 550)(133, 475)(134, 476)(135, 478)(136, 561)(137, 559)(138, 516)(139, 479)(140, 485)(141, 503)(142, 566)(143, 565)(144, 482)(145, 539)(146, 504)(147, 532)(148, 541)(149, 569)(150, 487)(151, 568)(152, 572)(153, 491)(154, 492)(155, 493)(156, 495)(157, 562)(158, 573)(159, 507)(160, 496)(161, 500)(162, 498)(163, 502)(164, 564)(165, 506)(166, 560)(167, 574)(168, 513)(169, 517)(170, 575)(171, 567)(172, 510)(173, 518)(174, 514)(175, 552)(176, 519)(177, 545)(178, 524)(179, 526)(180, 538)(181, 571)(182, 554)(183, 527)(184, 530)(185, 537)(186, 563)(187, 576)(188, 534)(189, 549)(190, 540)(191, 570)(192, 555)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2127
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2132 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y3^2, Y1^3, (R * Y2)^2, (Y3 * Y2)^2, (Y3 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y2 * Y1^-1)^6, (Y2 * Y1 * Y2 * Y1^-1)^4, Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 8, 200, 10, 202)(4, 196, 11, 203, 7, 199)(6, 198, 13, 205, 15, 207)(9, 201, 18, 210, 17, 209)(12, 204, 21, 213, 22, 214)(14, 206, 25, 217, 24, 216)(16, 208, 27, 219, 29, 221)(19, 211, 31, 223, 32, 224)(20, 212, 33, 225, 34, 226)(23, 215, 37, 229, 39, 231)(26, 218, 41, 233, 42, 234)(28, 220, 45, 237, 44, 236)(30, 222, 47, 239, 48, 240)(35, 227, 53, 245, 54, 246)(36, 228, 55, 247, 56, 248)(38, 230, 59, 251, 58, 250)(40, 232, 61, 253, 62, 254)(43, 235, 65, 257, 67, 259)(46, 238, 69, 261, 70, 262)(49, 241, 73, 265, 74, 266)(50, 242, 75, 267, 57, 249)(51, 243, 76, 268, 77, 269)(52, 244, 78, 270, 79, 271)(60, 252, 85, 277, 86, 278)(63, 255, 89, 281, 90, 282)(64, 256, 91, 283, 80, 272)(66, 258, 93, 285, 92, 284)(68, 260, 95, 287, 96, 288)(71, 263, 83, 275, 99, 291)(72, 264, 100, 292, 101, 293)(81, 273, 108, 300, 109, 301)(82, 274, 110, 302, 111, 303)(84, 276, 112, 304, 113, 305)(87, 279, 107, 299, 116, 308)(88, 280, 117, 309, 118, 310)(94, 286, 123, 315, 124, 316)(97, 289, 127, 319, 120, 312)(98, 290, 128, 320, 102, 294)(103, 295, 132, 324, 133, 325)(104, 296, 134, 326, 135, 327)(105, 297, 136, 328, 137, 329)(106, 298, 138, 330, 139, 331)(114, 306, 145, 337, 142, 334)(115, 307, 146, 338, 119, 311)(121, 313, 150, 342, 151, 343)(122, 314, 152, 344, 153, 345)(125, 317, 131, 323, 156, 348)(126, 318, 148, 340, 157, 349)(129, 321, 160, 352, 161, 353)(130, 322, 162, 354, 163, 355)(140, 332, 170, 362, 141, 333)(143, 335, 149, 341, 171, 363)(144, 336, 167, 359, 172, 364)(147, 339, 175, 367, 176, 368)(154, 346, 173, 365, 166, 358)(155, 347, 177, 369, 158, 350)(159, 351, 174, 366, 183, 375)(164, 356, 178, 370, 165, 357)(168, 360, 187, 379, 169, 361)(179, 371, 182, 374, 191, 383)(180, 372, 184, 376, 189, 381)(181, 373, 192, 384, 188, 380)(185, 377, 190, 382, 186, 378)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 393, 585)(389, 581, 396, 588)(391, 583, 398, 590)(392, 584, 400, 592)(394, 586, 403, 595)(395, 587, 404, 596)(397, 589, 407, 599)(399, 591, 410, 602)(401, 593, 412, 604)(402, 594, 414, 606)(405, 597, 419, 611)(406, 598, 420, 612)(408, 600, 422, 614)(409, 601, 424, 616)(411, 603, 427, 619)(413, 605, 430, 622)(415, 607, 433, 625)(416, 608, 434, 626)(417, 609, 435, 627)(418, 610, 436, 628)(421, 613, 441, 633)(423, 615, 444, 636)(425, 617, 447, 639)(426, 618, 448, 640)(428, 620, 450, 642)(429, 621, 452, 644)(431, 623, 455, 647)(432, 624, 456, 648)(437, 629, 464, 656)(438, 630, 465, 657)(439, 631, 466, 658)(440, 632, 449, 641)(442, 634, 467, 659)(443, 635, 468, 660)(445, 637, 471, 663)(446, 638, 472, 664)(451, 643, 478, 670)(453, 645, 481, 673)(454, 646, 482, 674)(457, 649, 486, 678)(458, 650, 487, 679)(459, 651, 488, 680)(460, 652, 476, 668)(461, 653, 489, 681)(462, 654, 490, 682)(463, 655, 491, 683)(469, 661, 498, 690)(470, 662, 499, 691)(473, 665, 503, 695)(474, 666, 504, 696)(475, 667, 505, 697)(477, 669, 506, 698)(479, 671, 509, 701)(480, 672, 510, 702)(483, 675, 513, 705)(484, 676, 514, 706)(485, 677, 515, 707)(492, 684, 516, 708)(493, 685, 524, 716)(494, 686, 525, 717)(495, 687, 526, 718)(496, 688, 527, 719)(497, 689, 528, 720)(500, 692, 531, 723)(501, 693, 532, 724)(502, 694, 533, 725)(507, 699, 538, 730)(508, 700, 539, 731)(511, 703, 542, 734)(512, 704, 543, 735)(517, 709, 548, 740)(518, 710, 549, 741)(519, 711, 550, 742)(520, 712, 551, 743)(521, 713, 552, 744)(522, 714, 553, 745)(523, 715, 547, 739)(529, 721, 557, 749)(530, 722, 558, 750)(534, 726, 561, 753)(535, 727, 562, 754)(536, 728, 563, 755)(537, 729, 564, 756)(540, 732, 565, 757)(541, 733, 566, 758)(544, 736, 568, 760)(545, 737, 569, 761)(546, 738, 570, 762)(554, 746, 567, 759)(555, 747, 572, 764)(556, 748, 573, 765)(559, 751, 574, 766)(560, 752, 575, 767)(571, 763, 576, 768)
	L = (1, 388)(2, 391)(3, 393)(4, 385)(5, 395)(6, 398)(7, 386)(8, 401)(9, 387)(10, 402)(11, 389)(12, 404)(13, 408)(14, 390)(15, 409)(16, 412)(17, 392)(18, 394)(19, 414)(20, 396)(21, 418)(22, 417)(23, 422)(24, 397)(25, 399)(26, 424)(27, 428)(28, 400)(29, 429)(30, 403)(31, 432)(32, 431)(33, 406)(34, 405)(35, 436)(36, 435)(37, 442)(38, 407)(39, 443)(40, 410)(41, 446)(42, 445)(43, 450)(44, 411)(45, 413)(46, 452)(47, 416)(48, 415)(49, 456)(50, 455)(51, 420)(52, 419)(53, 463)(54, 462)(55, 461)(56, 460)(57, 467)(58, 421)(59, 423)(60, 468)(61, 426)(62, 425)(63, 472)(64, 471)(65, 476)(66, 427)(67, 477)(68, 430)(69, 480)(70, 479)(71, 434)(72, 433)(73, 485)(74, 484)(75, 483)(76, 440)(77, 439)(78, 438)(79, 437)(80, 491)(81, 490)(82, 489)(83, 441)(84, 444)(85, 497)(86, 496)(87, 448)(88, 447)(89, 502)(90, 501)(91, 500)(92, 449)(93, 451)(94, 506)(95, 454)(96, 453)(97, 510)(98, 509)(99, 459)(100, 458)(101, 457)(102, 515)(103, 514)(104, 513)(105, 466)(106, 465)(107, 464)(108, 523)(109, 522)(110, 521)(111, 520)(112, 470)(113, 469)(114, 528)(115, 527)(116, 475)(117, 474)(118, 473)(119, 533)(120, 532)(121, 531)(122, 478)(123, 537)(124, 536)(125, 482)(126, 481)(127, 541)(128, 540)(129, 488)(130, 487)(131, 486)(132, 547)(133, 546)(134, 545)(135, 544)(136, 495)(137, 494)(138, 493)(139, 492)(140, 553)(141, 552)(142, 551)(143, 499)(144, 498)(145, 556)(146, 555)(147, 505)(148, 504)(149, 503)(150, 560)(151, 559)(152, 508)(153, 507)(154, 564)(155, 563)(156, 512)(157, 511)(158, 566)(159, 565)(160, 519)(161, 518)(162, 517)(163, 516)(164, 570)(165, 569)(166, 568)(167, 526)(168, 525)(169, 524)(170, 571)(171, 530)(172, 529)(173, 573)(174, 572)(175, 535)(176, 534)(177, 575)(178, 574)(179, 539)(180, 538)(181, 543)(182, 542)(183, 576)(184, 550)(185, 549)(186, 548)(187, 554)(188, 558)(189, 557)(190, 562)(191, 561)(192, 567)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2129
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2133 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 956>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, (Y3^-1 * Y2)^2, Y3^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^-1 * Y3^-1 * R * Y1 * Y3 * R, (R * Y2 * Y3^-1)^2, Y3^-1 * Y1^-1 * Y3^2 * Y1^-1 * Y3^-1 * Y1, Y3^-2 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y3 * Y1^-1, Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1^-1 * R * Y2 * Y1^-1 * Y2 * R * Y1^-1, Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y2 * Y1 * Y3^-2, Y3^-2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y2 * Y1^-1, (Y2 * Y1^-1)^6 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 10, 202, 12, 204)(4, 196, 14, 206, 16, 208)(6, 198, 19, 211, 8, 200)(7, 199, 20, 212, 22, 214)(9, 201, 25, 217, 18, 210)(11, 203, 29, 221, 31, 223)(13, 205, 34, 226, 27, 219)(15, 207, 37, 229, 38, 230)(17, 209, 41, 233, 42, 234)(21, 213, 49, 241, 51, 243)(23, 215, 54, 246, 47, 239)(24, 216, 45, 237, 55, 247)(26, 218, 58, 250, 60, 252)(28, 220, 63, 255, 33, 225)(30, 222, 66, 258, 67, 259)(32, 224, 70, 262, 71, 263)(35, 227, 75, 267, 77, 269)(36, 228, 57, 249, 40, 232)(39, 231, 82, 274, 83, 275)(43, 235, 90, 282, 86, 278)(44, 236, 91, 283, 93, 285)(46, 238, 94, 286, 96, 288)(48, 240, 99, 291, 53, 245)(50, 242, 102, 294, 103, 295)(52, 244, 106, 298, 107, 299)(56, 248, 113, 305, 115, 307)(59, 251, 109, 301, 120, 312)(61, 253, 100, 292, 117, 309)(62, 254, 74, 266, 111, 303)(64, 256, 122, 314, 124, 316)(65, 257, 114, 306, 69, 261)(68, 260, 108, 300, 127, 319)(72, 264, 133, 325, 129, 321)(73, 265, 134, 326, 136, 328)(76, 268, 139, 331, 140, 332)(78, 270, 105, 297, 101, 293)(79, 271, 112, 304, 81, 273)(80, 272, 141, 333, 142, 334)(84, 276, 98, 290, 110, 302)(85, 277, 145, 337, 135, 327)(87, 279, 143, 335, 89, 281)(88, 280, 146, 338, 147, 339)(92, 284, 128, 320, 138, 330)(95, 287, 149, 341, 155, 347)(97, 289, 137, 329, 152, 344)(104, 296, 148, 340, 159, 351)(116, 308, 163, 355, 165, 357)(118, 310, 160, 352, 121, 313)(119, 311, 167, 359, 156, 348)(123, 315, 171, 363, 172, 364)(125, 317, 169, 361, 158, 350)(126, 318, 173, 365, 174, 366)(130, 322, 162, 354, 132, 324)(131, 323, 176, 368, 151, 343)(144, 336, 150, 342, 153, 345)(154, 346, 185, 377, 180, 372)(157, 349, 187, 379, 181, 373)(161, 353, 189, 381, 182, 374)(164, 356, 178, 370, 186, 378)(166, 358, 170, 362, 184, 376)(168, 360, 177, 369, 188, 380)(175, 367, 179, 371, 183, 375)(190, 382, 192, 384, 191, 383)(385, 577, 387, 579)(386, 578, 391, 583)(388, 580, 397, 589)(389, 581, 401, 593)(390, 582, 395, 587)(392, 584, 407, 599)(393, 585, 405, 597)(394, 586, 410, 602)(396, 588, 416, 608)(398, 590, 419, 611)(399, 591, 414, 606)(400, 592, 423, 615)(402, 594, 427, 619)(403, 595, 428, 620)(404, 596, 430, 622)(406, 598, 436, 628)(408, 600, 434, 626)(409, 601, 440, 632)(411, 603, 445, 637)(412, 604, 443, 635)(413, 605, 448, 640)(415, 607, 452, 644)(417, 609, 456, 648)(418, 610, 457, 649)(420, 612, 460, 652)(421, 613, 462, 654)(422, 614, 464, 656)(424, 616, 468, 660)(425, 617, 469, 661)(426, 618, 472, 664)(429, 621, 476, 668)(431, 623, 481, 673)(432, 624, 479, 671)(433, 625, 484, 676)(435, 627, 488, 680)(437, 629, 492, 684)(438, 630, 493, 685)(439, 631, 495, 687)(441, 633, 498, 690)(442, 634, 500, 692)(444, 636, 494, 686)(446, 638, 503, 695)(447, 639, 496, 688)(449, 641, 507, 699)(450, 642, 509, 701)(451, 643, 510, 702)(453, 645, 490, 682)(454, 646, 512, 704)(455, 647, 515, 707)(458, 650, 519, 711)(459, 651, 521, 713)(461, 653, 513, 705)(463, 655, 483, 675)(465, 657, 527, 719)(466, 658, 505, 697)(467, 659, 528, 720)(470, 662, 508, 700)(471, 663, 520, 712)(473, 665, 532, 724)(474, 666, 533, 725)(475, 667, 534, 726)(477, 669, 514, 706)(478, 670, 535, 727)(480, 672, 526, 718)(482, 674, 538, 730)(485, 677, 540, 732)(486, 678, 541, 733)(487, 679, 542, 734)(489, 681, 530, 722)(491, 683, 545, 737)(497, 689, 546, 738)(499, 691, 544, 736)(501, 693, 550, 742)(502, 694, 548, 740)(504, 696, 552, 744)(506, 698, 554, 746)(511, 703, 559, 751)(516, 708, 561, 753)(517, 709, 562, 754)(518, 710, 563, 755)(522, 714, 564, 756)(523, 715, 557, 749)(524, 716, 565, 757)(525, 717, 555, 747)(529, 721, 566, 758)(531, 723, 547, 739)(536, 728, 568, 760)(537, 729, 567, 759)(539, 731, 570, 762)(543, 735, 572, 764)(549, 741, 558, 750)(551, 743, 574, 766)(553, 745, 560, 752)(556, 748, 575, 767)(569, 761, 576, 768)(571, 763, 573, 765)
	L = (1, 388)(2, 392)(3, 395)(4, 399)(5, 402)(6, 385)(7, 405)(8, 408)(9, 386)(10, 411)(11, 414)(12, 417)(13, 387)(14, 389)(15, 390)(16, 424)(17, 419)(18, 420)(19, 422)(20, 431)(21, 434)(22, 437)(23, 391)(24, 393)(25, 439)(26, 443)(27, 446)(28, 394)(29, 396)(30, 397)(31, 453)(32, 448)(33, 449)(34, 451)(35, 460)(36, 398)(37, 400)(38, 465)(39, 462)(40, 463)(41, 470)(42, 473)(43, 401)(44, 476)(45, 403)(46, 479)(47, 482)(48, 404)(49, 406)(50, 407)(51, 489)(52, 484)(53, 485)(54, 487)(55, 496)(56, 498)(57, 409)(58, 501)(59, 503)(60, 505)(61, 410)(62, 412)(63, 495)(64, 507)(65, 413)(66, 415)(67, 497)(68, 509)(69, 499)(70, 513)(71, 516)(72, 416)(73, 519)(74, 418)(75, 426)(76, 427)(77, 512)(78, 483)(79, 421)(80, 428)(81, 429)(82, 494)(83, 486)(84, 423)(85, 520)(86, 525)(87, 425)(88, 521)(89, 522)(90, 524)(91, 526)(92, 527)(93, 523)(94, 536)(95, 538)(96, 534)(97, 430)(98, 432)(99, 468)(100, 540)(101, 433)(102, 435)(103, 466)(104, 541)(105, 467)(106, 452)(107, 502)(108, 436)(109, 444)(110, 438)(111, 440)(112, 441)(113, 458)(114, 447)(115, 450)(116, 548)(117, 491)(118, 442)(119, 445)(120, 553)(121, 542)(122, 455)(123, 456)(124, 469)(125, 544)(126, 457)(127, 551)(128, 477)(129, 557)(130, 454)(131, 554)(132, 529)(133, 556)(134, 558)(135, 546)(136, 555)(137, 564)(138, 459)(139, 461)(140, 475)(141, 471)(142, 474)(143, 464)(144, 530)(145, 506)(146, 488)(147, 537)(148, 472)(149, 480)(150, 565)(151, 567)(152, 531)(153, 478)(154, 481)(155, 571)(156, 492)(157, 528)(158, 493)(159, 569)(160, 490)(161, 550)(162, 510)(163, 568)(164, 545)(165, 563)(166, 500)(167, 504)(168, 574)(169, 511)(170, 566)(171, 508)(172, 518)(173, 514)(174, 517)(175, 560)(176, 552)(177, 515)(178, 549)(179, 575)(180, 532)(181, 533)(182, 561)(183, 547)(184, 535)(185, 539)(186, 576)(187, 543)(188, 573)(189, 570)(190, 559)(191, 562)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2128
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2134 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1494>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y3)^2, (Y3 * Y2)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y3^-1)^3, (Y2 * Y1 * Y3^-1)^3, R * Y1 * Y2 * Y1 * Y2 * Y3 * R * Y1 * Y2 * Y1 * Y3^-1, Y3 * Y1 * Y2 * Y1 * Y2 * Y3 * Y1 * Y3^2 * Y2 * Y1, (Y3^-1 * Y1 * Y2 * Y1 * Y3 * Y2)^2, Y1 * Y2 * Y1 * Y2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y1 * Y3^-2, (Y2 * Y1)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194)(3, 195, 9, 201)(4, 196, 12, 204)(5, 197, 14, 206)(6, 198, 15, 207)(7, 199, 18, 210)(8, 200, 20, 212)(10, 202, 24, 216)(11, 203, 26, 218)(13, 205, 29, 221)(16, 208, 35, 227)(17, 209, 37, 229)(19, 211, 40, 232)(21, 213, 43, 235)(22, 214, 46, 238)(23, 215, 48, 240)(25, 217, 51, 243)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 59, 251)(31, 223, 58, 250)(32, 224, 61, 253)(33, 225, 64, 256)(34, 226, 66, 258)(36, 228, 67, 259)(38, 230, 70, 262)(39, 231, 72, 264)(41, 233, 75, 267)(42, 234, 74, 266)(44, 236, 55, 247)(45, 237, 81, 273)(47, 239, 84, 276)(49, 241, 87, 279)(50, 242, 88, 280)(52, 244, 91, 283)(53, 245, 90, 282)(57, 249, 98, 290)(60, 252, 103, 295)(62, 254, 71, 263)(63, 255, 107, 299)(65, 257, 110, 302)(68, 260, 111, 303)(69, 261, 93, 285)(73, 265, 116, 308)(76, 268, 79, 271)(77, 269, 121, 313)(78, 270, 124, 316)(80, 272, 95, 287)(82, 274, 99, 291)(83, 275, 129, 321)(85, 277, 132, 324)(86, 278, 131, 323)(89, 281, 106, 298)(92, 284, 140, 332)(94, 286, 120, 312)(96, 288, 141, 333)(97, 289, 115, 307)(100, 292, 143, 335)(101, 293, 144, 336)(102, 294, 113, 305)(104, 296, 146, 338)(105, 297, 148, 340)(108, 300, 117, 309)(109, 301, 152, 344)(112, 304, 157, 349)(114, 306, 158, 350)(118, 310, 160, 352)(119, 311, 125, 317)(122, 314, 128, 320)(123, 315, 163, 355)(126, 318, 166, 358)(127, 319, 133, 325)(130, 322, 170, 362)(134, 326, 173, 365)(135, 327, 150, 342)(136, 328, 169, 361)(137, 329, 174, 366)(138, 330, 175, 367)(139, 331, 142, 334)(145, 337, 151, 343)(147, 339, 177, 369)(149, 341, 168, 360)(153, 345, 184, 376)(154, 346, 165, 357)(155, 347, 185, 377)(156, 348, 159, 351)(161, 353, 180, 372)(162, 354, 179, 371)(164, 356, 171, 363)(167, 359, 190, 382)(172, 364, 182, 374)(176, 368, 188, 380)(178, 370, 181, 373)(183, 375, 187, 379)(186, 378, 192, 384)(189, 381, 191, 383)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 395, 587)(389, 581, 394, 586)(391, 583, 401, 593)(392, 584, 400, 592)(393, 585, 405, 597)(396, 588, 411, 603)(397, 589, 409, 601)(398, 590, 414, 606)(399, 591, 416, 608)(402, 594, 422, 614)(403, 595, 420, 612)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 428, 620)(408, 600, 433, 625)(410, 602, 436, 628)(412, 604, 439, 631)(413, 605, 441, 633)(415, 607, 444, 636)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 434, 626)(421, 613, 452, 644)(423, 615, 455, 647)(424, 616, 457, 649)(426, 618, 460, 652)(427, 619, 461, 653)(430, 622, 466, 658)(431, 623, 464, 656)(432, 624, 469, 661)(435, 627, 473, 665)(437, 629, 476, 668)(438, 630, 477, 669)(440, 632, 480, 672)(442, 634, 483, 675)(443, 635, 484, 676)(445, 637, 488, 680)(448, 640, 492, 684)(449, 641, 490, 682)(450, 642, 470, 662)(451, 643, 479, 671)(453, 645, 496, 688)(454, 646, 474, 666)(456, 648, 498, 690)(458, 650, 501, 693)(459, 651, 502, 694)(462, 654, 507, 699)(463, 655, 506, 698)(465, 657, 510, 702)(467, 659, 512, 704)(468, 660, 514, 706)(471, 663, 517, 709)(472, 664, 519, 711)(475, 667, 521, 713)(478, 670, 518, 710)(481, 673, 526, 718)(482, 674, 509, 701)(485, 677, 522, 714)(486, 678, 523, 715)(487, 679, 529, 721)(489, 681, 531, 723)(491, 683, 533, 725)(493, 685, 535, 727)(494, 686, 537, 729)(495, 687, 538, 730)(497, 689, 520, 712)(499, 691, 543, 735)(500, 692, 528, 720)(503, 695, 539, 731)(504, 696, 540, 732)(505, 697, 545, 737)(508, 700, 548, 740)(511, 703, 551, 743)(513, 705, 552, 744)(515, 707, 555, 747)(516, 708, 556, 748)(524, 716, 560, 752)(525, 717, 561, 753)(527, 719, 562, 754)(530, 722, 564, 756)(532, 724, 566, 758)(534, 726, 567, 759)(536, 728, 550, 742)(541, 733, 570, 762)(542, 734, 547, 739)(544, 736, 563, 755)(546, 738, 571, 763)(549, 741, 572, 764)(553, 745, 575, 767)(554, 746, 559, 751)(557, 749, 573, 765)(558, 750, 576, 768)(565, 757, 574, 766)(568, 760, 569, 761)
	L = (1, 388)(2, 391)(3, 394)(4, 397)(5, 385)(6, 400)(7, 403)(8, 386)(9, 406)(10, 409)(11, 387)(12, 404)(13, 389)(14, 415)(15, 417)(16, 420)(17, 390)(18, 398)(19, 392)(20, 426)(21, 428)(22, 431)(23, 393)(24, 432)(25, 395)(26, 437)(27, 439)(28, 396)(29, 440)(30, 422)(31, 423)(32, 446)(33, 449)(34, 399)(35, 450)(36, 401)(37, 453)(38, 455)(39, 402)(40, 456)(41, 411)(42, 412)(43, 462)(44, 464)(45, 405)(46, 410)(47, 407)(48, 470)(49, 419)(50, 408)(51, 472)(52, 466)(53, 467)(54, 478)(55, 460)(56, 481)(57, 483)(58, 413)(59, 485)(60, 414)(61, 489)(62, 490)(63, 416)(64, 421)(65, 418)(66, 469)(67, 471)(68, 492)(69, 493)(70, 497)(71, 444)(72, 499)(73, 501)(74, 424)(75, 503)(76, 425)(77, 506)(78, 509)(79, 427)(80, 429)(81, 511)(82, 512)(83, 430)(84, 513)(85, 433)(86, 434)(87, 518)(88, 520)(89, 454)(90, 435)(91, 522)(92, 436)(93, 451)(94, 517)(95, 438)(96, 441)(97, 442)(98, 507)(99, 526)(100, 523)(101, 521)(102, 443)(103, 445)(104, 529)(105, 528)(106, 447)(107, 534)(108, 535)(109, 448)(110, 536)(111, 539)(112, 452)(113, 519)(114, 457)(115, 458)(116, 531)(117, 543)(118, 540)(119, 538)(120, 459)(121, 546)(122, 482)(123, 461)(124, 465)(125, 463)(126, 548)(127, 549)(128, 476)(129, 553)(130, 555)(131, 468)(132, 494)(133, 479)(134, 477)(135, 473)(136, 474)(137, 486)(138, 484)(139, 475)(140, 505)(141, 527)(142, 480)(143, 563)(144, 487)(145, 500)(146, 565)(147, 488)(148, 491)(149, 566)(150, 558)(151, 496)(152, 557)(153, 556)(154, 504)(155, 502)(156, 495)(157, 530)(158, 544)(159, 498)(160, 562)(161, 560)(162, 559)(163, 525)(164, 572)(165, 508)(166, 537)(167, 510)(168, 514)(169, 515)(170, 571)(171, 575)(172, 573)(173, 516)(174, 532)(175, 524)(176, 554)(177, 542)(178, 561)(179, 547)(180, 570)(181, 569)(182, 576)(183, 533)(184, 574)(185, 541)(186, 568)(187, 545)(188, 551)(189, 550)(190, 564)(191, 552)(192, 567)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2137
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2135 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1494>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ Y1^2, Y2^2, R^2, Y3^4, (R * Y1)^2, (Y3 * Y2)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y1)^3, (Y2 * Y1 * Y3)^3, Y3^2 * Y1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y3 * Y1 * Y2, (Y3^-1 * Y2 * Y1 * Y2 * Y1 * Y3^-1)^2, Y3^-1 * Y1 * Y3 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y3^-1, (Y2 * Y1)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194)(3, 195, 9, 201)(4, 196, 12, 204)(5, 197, 14, 206)(6, 198, 15, 207)(7, 199, 18, 210)(8, 200, 20, 212)(10, 202, 24, 216)(11, 203, 26, 218)(13, 205, 29, 221)(16, 208, 35, 227)(17, 209, 37, 229)(19, 211, 40, 232)(21, 213, 43, 235)(22, 214, 46, 238)(23, 215, 48, 240)(25, 217, 51, 243)(27, 219, 54, 246)(28, 220, 56, 248)(30, 222, 59, 251)(31, 223, 58, 250)(32, 224, 61, 253)(33, 225, 64, 256)(34, 226, 66, 258)(36, 228, 69, 261)(38, 230, 70, 262)(39, 231, 72, 264)(41, 233, 75, 267)(42, 234, 74, 266)(44, 236, 80, 272)(45, 237, 60, 252)(47, 239, 84, 276)(49, 241, 87, 279)(50, 242, 89, 281)(52, 244, 92, 284)(53, 245, 91, 283)(55, 247, 96, 288)(57, 249, 99, 291)(62, 254, 106, 298)(63, 255, 76, 268)(65, 257, 108, 300)(67, 259, 111, 303)(68, 260, 101, 293)(71, 263, 78, 270)(73, 265, 118, 310)(77, 269, 121, 313)(79, 271, 125, 317)(81, 273, 102, 294)(82, 274, 128, 320)(83, 275, 129, 321)(85, 277, 97, 289)(86, 278, 131, 323)(88, 280, 136, 328)(90, 282, 107, 299)(93, 285, 141, 333)(94, 286, 120, 312)(95, 287, 142, 334)(98, 290, 117, 309)(100, 292, 145, 337)(103, 295, 114, 306)(104, 296, 146, 338)(105, 297, 148, 340)(109, 301, 116, 308)(110, 302, 152, 344)(112, 304, 157, 349)(113, 305, 158, 350)(115, 307, 124, 316)(119, 311, 160, 352)(122, 314, 163, 355)(123, 315, 132, 324)(126, 318, 166, 358)(127, 319, 139, 331)(130, 322, 172, 364)(133, 325, 174, 366)(134, 326, 144, 336)(135, 327, 175, 367)(137, 329, 171, 363)(138, 330, 150, 342)(140, 332, 169, 361)(143, 335, 153, 345)(147, 339, 179, 371)(149, 341, 173, 365)(151, 343, 184, 376)(154, 346, 165, 357)(155, 347, 159, 351)(156, 348, 185, 377)(161, 353, 180, 372)(162, 354, 178, 370)(164, 356, 170, 362)(167, 359, 190, 382)(168, 360, 182, 374)(176, 368, 188, 380)(177, 369, 181, 373)(183, 375, 187, 379)(186, 378, 192, 384)(189, 381, 191, 383)(385, 577, 387, 579)(386, 578, 390, 582)(388, 580, 395, 587)(389, 581, 394, 586)(391, 583, 401, 593)(392, 584, 400, 592)(393, 585, 405, 597)(396, 588, 411, 603)(397, 589, 409, 601)(398, 590, 414, 606)(399, 591, 416, 608)(402, 594, 422, 614)(403, 595, 420, 612)(404, 596, 425, 617)(406, 598, 429, 621)(407, 599, 428, 620)(408, 600, 433, 625)(410, 602, 436, 628)(412, 604, 439, 631)(413, 605, 441, 633)(415, 607, 444, 636)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 451, 643)(421, 613, 437, 629)(423, 615, 455, 647)(424, 616, 457, 649)(426, 618, 460, 652)(427, 619, 461, 653)(430, 622, 466, 658)(431, 623, 465, 657)(432, 624, 469, 661)(434, 626, 472, 664)(435, 627, 474, 666)(438, 630, 477, 669)(440, 632, 481, 673)(442, 634, 484, 676)(443, 635, 485, 677)(445, 637, 488, 680)(448, 640, 467, 659)(449, 641, 491, 683)(450, 642, 493, 685)(452, 644, 496, 688)(453, 645, 486, 678)(454, 646, 497, 689)(456, 648, 500, 692)(458, 650, 503, 695)(459, 651, 473, 665)(462, 654, 507, 699)(463, 655, 506, 698)(464, 656, 510, 702)(468, 660, 514, 706)(470, 662, 516, 708)(471, 663, 517, 709)(475, 667, 522, 714)(476, 668, 523, 715)(478, 670, 518, 710)(479, 671, 519, 711)(480, 672, 527, 719)(482, 674, 528, 720)(483, 675, 508, 700)(487, 679, 524, 716)(489, 681, 531, 723)(490, 682, 533, 725)(492, 684, 535, 727)(494, 686, 537, 729)(495, 687, 538, 730)(498, 690, 539, 731)(499, 691, 540, 732)(501, 693, 543, 735)(502, 694, 526, 718)(504, 696, 521, 713)(505, 697, 545, 737)(509, 701, 548, 740)(511, 703, 551, 743)(512, 704, 552, 744)(513, 705, 554, 746)(515, 707, 557, 749)(520, 712, 560, 752)(525, 717, 561, 753)(529, 721, 563, 755)(530, 722, 564, 756)(532, 724, 566, 758)(534, 726, 567, 759)(536, 728, 550, 742)(541, 733, 570, 762)(542, 734, 562, 754)(544, 736, 547, 739)(546, 738, 571, 763)(549, 741, 572, 764)(553, 745, 573, 765)(555, 747, 575, 767)(556, 748, 559, 751)(558, 750, 576, 768)(565, 757, 574, 766)(568, 760, 569, 761)
	L = (1, 388)(2, 391)(3, 394)(4, 397)(5, 385)(6, 400)(7, 403)(8, 386)(9, 406)(10, 409)(11, 387)(12, 404)(13, 389)(14, 415)(15, 417)(16, 420)(17, 390)(18, 398)(19, 392)(20, 426)(21, 428)(22, 431)(23, 393)(24, 432)(25, 395)(26, 437)(27, 439)(28, 396)(29, 440)(30, 422)(31, 423)(32, 446)(33, 449)(34, 399)(35, 450)(36, 401)(37, 436)(38, 455)(39, 402)(40, 456)(41, 411)(42, 412)(43, 462)(44, 465)(45, 405)(46, 410)(47, 407)(48, 470)(49, 472)(50, 408)(51, 473)(52, 466)(53, 467)(54, 478)(55, 460)(56, 482)(57, 484)(58, 413)(59, 486)(60, 414)(61, 480)(62, 491)(63, 416)(64, 421)(65, 418)(66, 494)(67, 496)(68, 419)(69, 485)(70, 498)(71, 444)(72, 501)(73, 503)(74, 424)(75, 474)(76, 425)(77, 506)(78, 508)(79, 427)(80, 509)(81, 429)(82, 448)(83, 430)(84, 513)(85, 433)(86, 434)(87, 518)(88, 516)(89, 521)(90, 522)(91, 435)(92, 453)(93, 519)(94, 517)(95, 438)(96, 526)(97, 441)(98, 442)(99, 507)(100, 528)(101, 524)(102, 523)(103, 443)(104, 531)(105, 445)(106, 532)(107, 447)(108, 512)(109, 451)(110, 452)(111, 539)(112, 537)(113, 540)(114, 538)(115, 454)(116, 457)(117, 458)(118, 527)(119, 543)(120, 459)(121, 520)(122, 483)(123, 461)(124, 463)(125, 549)(126, 551)(127, 464)(128, 553)(129, 555)(130, 557)(131, 468)(132, 469)(133, 479)(134, 477)(135, 471)(136, 559)(137, 475)(138, 504)(139, 487)(140, 476)(141, 529)(142, 489)(143, 488)(144, 481)(145, 547)(146, 541)(147, 502)(148, 558)(149, 567)(150, 490)(151, 550)(152, 492)(153, 493)(154, 499)(155, 497)(156, 495)(157, 569)(158, 544)(159, 500)(160, 563)(161, 571)(162, 505)(163, 562)(164, 510)(165, 511)(166, 573)(167, 572)(168, 535)(169, 536)(170, 514)(171, 515)(172, 560)(173, 575)(174, 534)(175, 546)(176, 545)(177, 542)(178, 525)(179, 561)(180, 574)(181, 530)(182, 533)(183, 576)(184, 570)(185, 565)(186, 564)(187, 556)(188, 548)(189, 552)(190, 568)(191, 554)(192, 566)(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 ) }
Outer automorphisms :: reflexible
Dual of E17.2136
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2136 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1494>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, Y3^3, (Y1 * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2)^2, (R * Y2 * Y3^-1)^2, Y3 * Y1^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1^-1 * Y2 * Y1 * Y2, Y3 * Y2 * Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1, Y1^-1 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 10, 202, 12, 204)(4, 196, 14, 206, 15, 207)(6, 198, 18, 210, 8, 200)(7, 199, 19, 211, 21, 213)(9, 201, 23, 215, 17, 209)(11, 203, 27, 219, 28, 220)(13, 205, 31, 223, 25, 217)(16, 208, 34, 226, 35, 227)(20, 212, 41, 233, 42, 234)(22, 214, 45, 237, 39, 231)(24, 216, 47, 239, 49, 241)(26, 218, 51, 243, 30, 222)(29, 221, 54, 246, 55, 247)(32, 224, 58, 250, 59, 251)(33, 225, 60, 252, 61, 253)(36, 228, 67, 259, 63, 255)(37, 229, 68, 260, 69, 261)(38, 230, 70, 262, 72, 264)(40, 232, 74, 266, 44, 236)(43, 235, 77, 269, 78, 270)(46, 238, 81, 273, 82, 274)(48, 240, 86, 278, 76, 268)(50, 242, 89, 281, 84, 276)(52, 244, 91, 283, 92, 284)(53, 245, 93, 285, 94, 286)(56, 248, 100, 292, 96, 288)(57, 249, 101, 293, 102, 294)(62, 254, 108, 300, 109, 301)(64, 256, 105, 297, 66, 258)(65, 257, 111, 303, 112, 304)(71, 263, 121, 313, 104, 296)(73, 265, 124, 316, 119, 311)(75, 267, 125, 317, 126, 318)(79, 271, 129, 321, 106, 298)(80, 272, 88, 280, 85, 277)(83, 275, 131, 323, 127, 319)(87, 279, 135, 327, 122, 314)(90, 282, 137, 329, 110, 302)(95, 287, 117, 309, 107, 299)(97, 289, 140, 332, 99, 291)(98, 290, 142, 334, 143, 335)(103, 295, 148, 340, 149, 341)(113, 305, 152, 344, 116, 308)(114, 306, 123, 315, 120, 312)(115, 307, 153, 345, 128, 320)(118, 310, 154, 346, 150, 342)(130, 322, 163, 355, 151, 343)(132, 324, 161, 353, 139, 331)(133, 325, 167, 359, 165, 357)(134, 326, 158, 350, 168, 360)(136, 328, 169, 361, 141, 333)(138, 330, 171, 363, 172, 364)(144, 336, 175, 367, 147, 339)(145, 337, 159, 351, 166, 358)(146, 338, 176, 368, 157, 349)(155, 347, 178, 370, 160, 352)(156, 348, 179, 371, 181, 373)(162, 354, 177, 369, 182, 374)(164, 356, 180, 372, 173, 365)(170, 362, 183, 375, 174, 366)(184, 376, 189, 381, 186, 378)(185, 377, 190, 382, 191, 383)(187, 379, 188, 380, 192, 384)(385, 577, 387, 579)(386, 578, 391, 583)(388, 580, 397, 589)(389, 581, 400, 592)(390, 582, 395, 587)(392, 584, 406, 598)(393, 585, 404, 596)(394, 586, 408, 600)(396, 588, 413, 605)(398, 590, 416, 608)(399, 591, 417, 609)(401, 593, 420, 612)(402, 594, 421, 613)(403, 595, 422, 614)(405, 597, 427, 619)(407, 599, 430, 622)(409, 601, 434, 626)(410, 602, 432, 624)(411, 603, 436, 628)(412, 604, 437, 629)(414, 606, 440, 632)(415, 607, 441, 633)(418, 610, 446, 638)(419, 611, 449, 641)(423, 615, 457, 649)(424, 616, 455, 647)(425, 617, 459, 651)(426, 618, 460, 652)(428, 620, 463, 655)(429, 621, 464, 656)(431, 623, 467, 659)(433, 625, 471, 663)(435, 627, 474, 666)(438, 630, 479, 671)(439, 631, 482, 674)(442, 634, 487, 679)(443, 635, 488, 680)(444, 636, 481, 673)(445, 637, 490, 682)(447, 639, 494, 686)(448, 640, 477, 669)(450, 642, 497, 689)(451, 643, 498, 690)(452, 644, 499, 691)(453, 645, 500, 692)(454, 646, 502, 694)(456, 648, 506, 698)(458, 650, 473, 665)(461, 653, 491, 683)(462, 654, 511, 703)(465, 657, 514, 706)(466, 658, 480, 672)(468, 660, 517, 709)(469, 661, 516, 708)(470, 662, 518, 710)(472, 664, 520, 712)(475, 667, 522, 714)(476, 668, 523, 715)(478, 670, 525, 717)(483, 675, 528, 720)(484, 676, 529, 721)(485, 677, 530, 722)(486, 678, 531, 723)(489, 681, 508, 700)(492, 684, 526, 718)(493, 685, 519, 711)(495, 687, 501, 693)(496, 688, 534, 726)(503, 695, 540, 732)(504, 696, 539, 731)(505, 697, 541, 733)(507, 699, 542, 734)(509, 701, 543, 735)(510, 702, 544, 736)(512, 704, 545, 737)(513, 705, 546, 738)(515, 707, 548, 740)(521, 713, 554, 746)(524, 716, 551, 743)(527, 719, 557, 749)(532, 724, 561, 753)(533, 725, 559, 751)(535, 727, 562, 754)(536, 728, 556, 748)(537, 729, 563, 755)(538, 730, 564, 756)(547, 739, 567, 759)(549, 741, 569, 761)(550, 742, 568, 760)(552, 744, 570, 762)(553, 745, 571, 763)(555, 747, 572, 764)(558, 750, 573, 765)(560, 752, 574, 766)(565, 757, 576, 768)(566, 758, 575, 767)
	L = (1, 388)(2, 392)(3, 395)(4, 390)(5, 401)(6, 385)(7, 404)(8, 393)(9, 386)(10, 409)(11, 397)(12, 414)(13, 387)(14, 389)(15, 407)(16, 416)(17, 398)(18, 399)(19, 423)(20, 406)(21, 428)(22, 391)(23, 402)(24, 432)(25, 410)(26, 394)(27, 396)(28, 435)(29, 436)(30, 411)(31, 412)(32, 420)(33, 421)(34, 447)(35, 450)(36, 400)(37, 430)(38, 455)(39, 424)(40, 403)(41, 405)(42, 458)(43, 459)(44, 425)(45, 426)(46, 417)(47, 468)(48, 434)(49, 472)(50, 408)(51, 415)(52, 440)(53, 441)(54, 480)(55, 483)(56, 413)(57, 474)(58, 419)(59, 489)(60, 466)(61, 491)(62, 477)(63, 448)(64, 418)(65, 487)(66, 442)(67, 443)(68, 445)(69, 501)(70, 503)(71, 457)(72, 507)(73, 422)(74, 429)(75, 463)(76, 464)(77, 490)(78, 512)(79, 427)(80, 473)(81, 453)(82, 479)(83, 516)(84, 469)(85, 431)(86, 433)(87, 518)(88, 470)(89, 460)(90, 437)(91, 439)(92, 524)(93, 494)(94, 493)(95, 444)(96, 481)(97, 438)(98, 522)(99, 475)(100, 476)(101, 478)(102, 492)(103, 497)(104, 498)(105, 451)(106, 499)(107, 452)(108, 521)(109, 485)(110, 446)(111, 500)(112, 535)(113, 449)(114, 508)(115, 461)(116, 514)(117, 465)(118, 539)(119, 504)(120, 454)(121, 456)(122, 541)(123, 505)(124, 488)(125, 462)(126, 537)(127, 543)(128, 509)(129, 510)(130, 495)(131, 549)(132, 517)(133, 467)(134, 520)(135, 525)(136, 471)(137, 486)(138, 528)(139, 529)(140, 484)(141, 530)(142, 531)(143, 558)(144, 482)(145, 551)(146, 519)(147, 554)(148, 496)(149, 547)(150, 561)(151, 532)(152, 533)(153, 513)(154, 565)(155, 540)(156, 502)(157, 542)(158, 506)(159, 545)(160, 546)(161, 511)(162, 563)(163, 536)(164, 568)(165, 550)(166, 515)(167, 523)(168, 560)(169, 552)(170, 526)(171, 527)(172, 567)(173, 572)(174, 555)(175, 556)(176, 553)(177, 562)(178, 534)(179, 544)(180, 575)(181, 566)(182, 538)(183, 559)(184, 569)(185, 548)(186, 571)(187, 574)(188, 573)(189, 557)(190, 570)(191, 576)(192, 564)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2135
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2137 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 2, 2, 3})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1494>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ R^2, Y2^2, Y1^3, Y1^3, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y3 * Y2)^2, (Y3^-1 * Y1 * Y3^-1)^2, Y3^6, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y3^-1 * Y2 * Y1^-1)^2, Y1 * Y2 * Y1 * Y3^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y1^-1 * Y2, Y1 * Y3^-1 * Y2 * Y1 * R * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * R, Y1 * Y2 * Y1 * Y3^-2 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y3^-1 * Y2, Y1 * Y3^-1 * Y2 * Y1 * Y3^-1 * Y2 * Y1 * Y2 * Y1^-1 * Y3 * Y2, (Y2 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 5, 197)(3, 195, 10, 202, 12, 204)(4, 196, 14, 206, 16, 208)(6, 198, 19, 211, 8, 200)(7, 199, 21, 213, 23, 215)(9, 201, 26, 218, 18, 210)(11, 203, 31, 223, 33, 225)(13, 205, 36, 228, 29, 221)(15, 207, 40, 232, 27, 219)(17, 209, 44, 236, 45, 237)(20, 212, 47, 239, 49, 241)(22, 214, 53, 245, 55, 247)(24, 216, 58, 250, 51, 243)(25, 217, 43, 235, 39, 231)(28, 220, 62, 254, 64, 256)(30, 222, 67, 259, 35, 227)(32, 224, 71, 263, 68, 260)(34, 226, 75, 267, 76, 268)(37, 229, 78, 270, 80, 272)(38, 230, 81, 273, 83, 275)(41, 233, 60, 252, 84, 276)(42, 234, 86, 278, 87, 279)(46, 238, 94, 286, 90, 282)(48, 240, 96, 288, 97, 289)(50, 242, 99, 291, 101, 293)(52, 244, 104, 296, 57, 249)(54, 246, 108, 300, 105, 297)(56, 248, 112, 304, 113, 305)(59, 251, 115, 307, 117, 309)(61, 253, 118, 310, 119, 311)(63, 255, 123, 315, 110, 302)(65, 257, 127, 319, 121, 313)(66, 258, 74, 266, 70, 262)(69, 261, 131, 323, 133, 325)(72, 264, 129, 321, 134, 326)(73, 265, 136, 328, 137, 329)(77, 269, 144, 336, 140, 332)(79, 271, 146, 338, 147, 339)(82, 274, 151, 343, 153, 345)(85, 277, 156, 348, 157, 349)(88, 280, 161, 353, 158, 350)(89, 281, 162, 354, 163, 355)(91, 283, 166, 358, 93, 285)(92, 284, 167, 359, 168, 360)(95, 287, 170, 362, 172, 364)(98, 290, 177, 369, 174, 366)(100, 292, 178, 370, 154, 346)(102, 294, 181, 373, 145, 337)(103, 295, 111, 303, 107, 299)(106, 298, 182, 374, 138, 330)(109, 301, 142, 334, 183, 375)(114, 306, 135, 327, 159, 351)(116, 308, 126, 318, 122, 314)(120, 312, 152, 344, 186, 378)(124, 316, 185, 377, 149, 341)(125, 317, 191, 383, 179, 371)(128, 320, 190, 382, 189, 381)(130, 322, 188, 380, 164, 356)(132, 324, 171, 363, 180, 372)(139, 331, 176, 368, 160, 352)(141, 333, 192, 384, 143, 335)(148, 340, 187, 379, 173, 365)(150, 342, 165, 357, 155, 347)(169, 361, 184, 376, 175, 367)(385, 577, 387, 579)(386, 578, 391, 583)(388, 580, 397, 589)(389, 581, 401, 593)(390, 582, 395, 587)(392, 584, 408, 600)(393, 585, 406, 598)(394, 586, 412, 604)(396, 588, 418, 610)(398, 590, 422, 614)(399, 591, 421, 613)(400, 592, 426, 618)(402, 594, 430, 622)(403, 595, 432, 624)(404, 596, 416, 608)(405, 597, 434, 626)(407, 599, 440, 632)(409, 601, 443, 635)(410, 602, 445, 637)(411, 603, 438, 630)(413, 605, 449, 641)(414, 606, 447, 639)(415, 607, 453, 645)(417, 609, 457, 649)(419, 611, 461, 653)(420, 612, 463, 655)(423, 615, 466, 658)(424, 616, 469, 661)(425, 617, 456, 648)(427, 619, 472, 664)(428, 620, 473, 665)(429, 621, 476, 668)(431, 623, 479, 671)(433, 625, 482, 674)(435, 627, 486, 678)(436, 628, 484, 676)(437, 629, 490, 682)(439, 631, 494, 686)(441, 633, 498, 690)(442, 634, 500, 692)(444, 636, 493, 685)(446, 638, 504, 696)(448, 640, 509, 701)(450, 642, 512, 704)(451, 643, 514, 706)(452, 644, 508, 700)(454, 646, 516, 708)(455, 647, 519, 711)(458, 650, 522, 714)(459, 651, 523, 715)(460, 652, 526, 718)(462, 654, 529, 721)(464, 656, 532, 724)(465, 657, 533, 725)(467, 659, 538, 730)(468, 660, 536, 728)(470, 662, 525, 717)(471, 663, 543, 735)(474, 666, 548, 740)(475, 667, 520, 712)(477, 669, 553, 745)(478, 670, 555, 747)(480, 672, 557, 749)(481, 673, 559, 751)(483, 675, 518, 710)(485, 677, 563, 755)(487, 679, 527, 719)(488, 680, 511, 703)(489, 681, 515, 707)(491, 683, 531, 723)(492, 684, 568, 760)(495, 687, 569, 761)(496, 688, 544, 736)(497, 689, 570, 762)(499, 691, 572, 764)(501, 693, 573, 765)(502, 694, 574, 766)(503, 695, 524, 716)(505, 697, 554, 746)(506, 698, 534, 726)(507, 699, 545, 737)(510, 702, 541, 733)(513, 705, 552, 744)(517, 709, 539, 731)(521, 713, 540, 732)(528, 720, 535, 727)(530, 722, 558, 750)(537, 729, 566, 758)(542, 734, 564, 756)(546, 738, 567, 759)(547, 739, 575, 767)(549, 741, 571, 763)(550, 742, 565, 757)(551, 743, 560, 752)(556, 748, 576, 768)(561, 753, 562, 754)
	L = (1, 388)(2, 392)(3, 395)(4, 399)(5, 402)(6, 385)(7, 406)(8, 409)(9, 386)(10, 413)(11, 416)(12, 419)(13, 387)(14, 389)(15, 425)(16, 427)(17, 422)(18, 431)(19, 433)(20, 390)(21, 435)(22, 438)(23, 441)(24, 391)(25, 444)(26, 424)(27, 393)(28, 447)(29, 450)(30, 394)(31, 396)(32, 456)(33, 458)(34, 453)(35, 462)(36, 464)(37, 397)(38, 466)(39, 398)(40, 400)(41, 404)(42, 469)(43, 403)(44, 474)(45, 477)(46, 401)(47, 468)(48, 472)(49, 410)(50, 484)(51, 487)(52, 405)(53, 407)(54, 493)(55, 495)(56, 490)(57, 499)(58, 501)(59, 408)(60, 411)(61, 482)(62, 505)(63, 508)(64, 510)(65, 412)(66, 513)(67, 455)(68, 414)(69, 516)(70, 415)(71, 417)(72, 421)(73, 519)(74, 420)(75, 524)(76, 527)(77, 418)(78, 518)(79, 522)(80, 451)(81, 429)(82, 536)(83, 539)(84, 423)(85, 445)(86, 542)(87, 544)(88, 426)(89, 520)(90, 549)(91, 428)(92, 533)(93, 554)(94, 556)(95, 430)(96, 558)(97, 560)(98, 432)(99, 529)(100, 515)(101, 564)(102, 434)(103, 526)(104, 492)(105, 436)(106, 531)(107, 437)(108, 439)(109, 443)(110, 568)(111, 442)(112, 543)(113, 571)(114, 440)(115, 567)(116, 569)(117, 488)(118, 541)(119, 523)(120, 534)(121, 553)(122, 446)(123, 448)(124, 552)(125, 545)(126, 574)(127, 573)(128, 449)(129, 452)(130, 532)(131, 460)(132, 483)(133, 538)(134, 454)(135, 514)(136, 566)(137, 547)(138, 457)(139, 470)(140, 562)(141, 459)(142, 489)(143, 486)(144, 565)(145, 461)(146, 557)(147, 546)(148, 463)(149, 506)(150, 465)(151, 467)(152, 479)(153, 475)(154, 528)(155, 478)(156, 471)(157, 509)(158, 563)(159, 521)(160, 480)(161, 481)(162, 572)(163, 530)(164, 473)(165, 570)(166, 535)(167, 559)(168, 512)(169, 476)(170, 504)(171, 517)(172, 550)(173, 496)(174, 575)(175, 507)(176, 502)(177, 503)(178, 485)(179, 561)(180, 525)(181, 576)(182, 497)(183, 491)(184, 511)(185, 494)(186, 537)(187, 548)(188, 498)(189, 500)(190, 551)(191, 540)(192, 555)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2134
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2138 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X1^3, X2^4, X2^4, (X1 * X2^-1)^4, (X2 * X1)^4, X2^-2 * X1 * X2 * X1^-1 * X2^2 * X1 * X2^-1 * X1^-1, X2^-1 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 15, 17)(7, 18, 19)(9, 22, 23)(11, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 47)(21, 48, 49)(24, 54, 42)(25, 56, 57)(27, 60, 61)(31, 67, 69)(32, 62, 70)(33, 71, 73)(34, 74, 35)(36, 76, 77)(39, 82, 65)(40, 84, 85)(41, 86, 88)(43, 89, 91)(44, 92, 58)(46, 94, 95)(50, 102, 83)(51, 104, 90)(52, 105, 99)(53, 107, 108)(55, 111, 112)(59, 117, 118)(63, 123, 124)(64, 125, 127)(66, 128, 129)(68, 131, 132)(72, 119, 135)(75, 139, 140)(78, 142, 122)(79, 144, 93)(80, 145, 141)(81, 147, 148)(87, 153, 154)(96, 156, 114)(97, 158, 138)(98, 162, 126)(100, 151, 133)(101, 149, 109)(103, 165, 146)(106, 168, 169)(110, 172, 155)(113, 174, 150)(115, 176, 121)(116, 130, 177)(120, 136, 178)(134, 180, 157)(137, 181, 152)(143, 160, 179)(159, 183, 164)(161, 186, 190)(163, 191, 184)(166, 182, 175)(167, 188, 187)(170, 185, 189)(171, 192, 173)(193, 195, 201, 197)(194, 198, 208, 199)(196, 203, 219, 204)(200, 212, 238, 213)(202, 216, 247, 217)(205, 223, 260, 224)(206, 225, 264, 226)(207, 227, 267, 228)(209, 231, 275, 232)(210, 233, 279, 234)(211, 235, 282, 236)(214, 242, 295, 243)(215, 244, 298, 245)(218, 250, 308, 251)(220, 254, 314, 255)(221, 256, 318, 257)(222, 258, 285, 237)(229, 270, 335, 271)(230, 272, 338, 273)(239, 288, 261, 289)(240, 290, 355, 291)(241, 292, 262, 293)(246, 301, 269, 302)(248, 305, 367, 306)(249, 307, 356, 294)(252, 303, 360, 311)(253, 312, 371, 313)(259, 300, 363, 322)(263, 325, 375, 326)(265, 296, 358, 328)(266, 329, 280, 330)(268, 323, 374, 333)(274, 341, 310, 342)(276, 343, 379, 344)(277, 299, 362, 334)(278, 340, 351, 286)(281, 347, 381, 348)(283, 336, 359, 297)(284, 349, 319, 350)(287, 352, 324, 353)(304, 316, 339, 365)(309, 345, 380, 370)(315, 364, 383, 372)(317, 368, 377, 331)(320, 366, 384, 373)(321, 327, 376, 337)(332, 361, 346, 378)(354, 382, 369, 357)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.2139 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2^-1 * X1)^4, (X1^-1 * X2^-1)^4, X2 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1 * X2^-1 * X1^-1, X1^-1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 15, 17)(7, 18, 19)(9, 22, 23)(11, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 47)(21, 48, 49)(24, 54, 42)(25, 56, 57)(27, 60, 61)(31, 67, 69)(32, 62, 70)(33, 71, 73)(34, 74, 35)(36, 76, 77)(39, 82, 65)(40, 84, 85)(41, 86, 88)(43, 89, 91)(44, 92, 58)(46, 94, 95)(50, 102, 103)(51, 104, 79)(52, 105, 99)(53, 106, 107)(55, 110, 83)(59, 115, 116)(63, 120, 121)(64, 122, 124)(66, 125, 126)(68, 100, 128)(72, 98, 132)(75, 108, 101)(78, 139, 140)(80, 131, 136)(81, 141, 97)(87, 137, 146)(90, 135, 149)(93, 150, 151)(96, 154, 112)(109, 145, 147)(111, 123, 165)(113, 130, 129)(114, 142, 138)(117, 167, 168)(118, 148, 166)(119, 169, 134)(127, 173, 170)(133, 176, 144)(143, 171, 172)(152, 183, 180)(153, 177, 159)(155, 188, 178)(156, 187, 181)(157, 179, 192)(158, 184, 162)(160, 182, 174)(161, 164, 186)(163, 190, 189)(175, 191, 185)(193, 195, 201, 197)(194, 198, 208, 199)(196, 203, 219, 204)(200, 212, 238, 213)(202, 216, 247, 217)(205, 223, 260, 224)(206, 225, 264, 226)(207, 227, 267, 228)(209, 231, 275, 232)(210, 233, 279, 234)(211, 235, 282, 236)(214, 242, 283, 243)(215, 244, 280, 245)(218, 250, 306, 251)(220, 254, 302, 255)(221, 256, 315, 257)(222, 258, 285, 237)(229, 270, 318, 271)(230, 272, 316, 273)(239, 288, 278, 289)(240, 290, 347, 291)(241, 292, 348, 293)(246, 300, 355, 301)(248, 303, 356, 304)(249, 305, 349, 294)(252, 309, 265, 296)(253, 310, 261, 311)(259, 299, 284, 319)(262, 286, 344, 321)(263, 322, 367, 323)(266, 325, 314, 326)(268, 327, 369, 328)(269, 329, 370, 330)(274, 334, 376, 335)(276, 320, 366, 336)(277, 337, 371, 331)(281, 339, 378, 340)(287, 308, 357, 345)(295, 350, 324, 351)(297, 317, 364, 352)(298, 353, 368, 354)(307, 342, 379, 358)(312, 338, 377, 362)(313, 363, 384, 359)(332, 372, 341, 373)(333, 374, 365, 375)(343, 380, 360, 381)(346, 382, 361, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.2140 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X2^-1 * X1^-1)^4, (X2 * X1^-1)^4, X2 * X1 * X2^-2 * X1^-1 * X2^2 * X1^-1 * X2^-1 * X1^-1, X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1 * X2^2 * X1 * X2^-1 * X1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 13, 14)(6, 15, 17)(7, 18, 19)(9, 22, 23)(11, 26, 28)(12, 29, 30)(16, 37, 38)(20, 45, 47)(21, 48, 49)(24, 54, 42)(25, 56, 57)(27, 60, 61)(31, 67, 69)(32, 62, 70)(33, 71, 73)(34, 74, 35)(36, 76, 77)(39, 82, 65)(40, 84, 85)(41, 86, 88)(43, 89, 91)(44, 92, 58)(46, 94, 75)(50, 101, 103)(51, 104, 105)(52, 106, 98)(53, 108, 81)(55, 111, 112)(59, 116, 117)(63, 122, 123)(64, 107, 125)(66, 102, 126)(68, 127, 115)(72, 132, 113)(78, 139, 140)(79, 131, 141)(80, 142, 136)(83, 143, 144)(87, 147, 146)(90, 99, 145)(93, 137, 150)(95, 121, 114)(96, 152, 153)(97, 134, 128)(100, 156, 109)(110, 163, 119)(118, 169, 129)(120, 170, 167)(124, 172, 171)(130, 168, 174)(133, 138, 176)(135, 149, 148)(151, 183, 182)(154, 177, 187)(155, 159, 180)(157, 185, 184)(158, 175, 188)(160, 186, 161)(162, 189, 164)(165, 191, 190)(166, 192, 179)(173, 178, 181)(193, 195, 201, 197)(194, 198, 208, 199)(196, 203, 219, 204)(200, 212, 238, 213)(202, 216, 247, 217)(205, 223, 260, 224)(206, 225, 264, 226)(207, 227, 267, 228)(209, 231, 275, 232)(210, 233, 279, 234)(211, 235, 282, 236)(214, 242, 294, 243)(215, 244, 299, 245)(218, 250, 286, 251)(220, 254, 313, 255)(221, 256, 316, 257)(222, 258, 285, 237)(229, 270, 263, 271)(230, 272, 259, 273)(239, 287, 343, 288)(240, 289, 346, 290)(241, 291, 347, 292)(246, 301, 318, 302)(248, 305, 358, 306)(249, 307, 349, 293)(252, 310, 281, 311)(253, 312, 278, 300)(261, 320, 365, 321)(262, 322, 283, 323)(265, 296, 274, 325)(266, 304, 357, 326)(268, 327, 369, 328)(269, 329, 370, 330)(276, 337, 356, 303)(277, 338, 371, 331)(280, 340, 350, 295)(284, 336, 378, 341)(297, 351, 366, 352)(298, 353, 319, 354)(308, 345, 379, 359)(309, 324, 367, 360)(314, 342, 377, 335)(315, 363, 381, 361)(317, 344, 372, 332)(333, 373, 348, 374)(334, 375, 339, 376)(355, 380, 368, 382)(362, 383, 364, 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) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.2141 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X2^4, X1^4, (X2 * X1)^3, X2 * X1^-2 * X2^2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1^-1 * X2^-2 * X1 * X2 * X1^-1 * X2^-2 * X1^-1, (X2 * X1^-2)^4, (X1^-1 * X2^-1 * X1^-2 * X2 * X1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 23, 11)(5, 14, 34, 15)(7, 18, 43, 20)(8, 21, 49, 22)(10, 26, 59, 27)(12, 30, 68, 32)(13, 33, 56, 24)(16, 38, 84, 40)(17, 41, 90, 42)(19, 45, 98, 46)(25, 57, 120, 58)(28, 64, 129, 66)(29, 67, 109, 60)(31, 70, 136, 71)(35, 63, 91, 79)(36, 80, 144, 81)(37, 82, 93, 83)(39, 86, 149, 87)(44, 96, 163, 97)(47, 103, 169, 105)(48, 106, 158, 99)(50, 102, 74, 110)(51, 111, 175, 112)(52, 113, 55, 114)(53, 115, 157, 116)(54, 95, 147, 117)(61, 104, 151, 126)(62, 127, 148, 85)(65, 100, 153, 131)(69, 101, 167, 135)(72, 138, 180, 123)(73, 139, 78, 137)(75, 141, 181, 124)(76, 132, 156, 142)(77, 134, 146, 143)(88, 152, 186, 154)(89, 155, 140, 150)(92, 159, 188, 160)(94, 161, 119, 162)(107, 170, 118, 173)(108, 172, 130, 174)(121, 176, 133, 179)(122, 171, 125, 164)(128, 165, 187, 166)(145, 184, 185, 168)(177, 190, 183, 191)(178, 189, 182, 192)(193, 195, 202, 197)(194, 199, 211, 200)(196, 204, 223, 205)(198, 208, 231, 209)(201, 216, 247, 217)(203, 220, 257, 221)(206, 227, 270, 228)(207, 229, 236, 210)(212, 239, 296, 240)(213, 242, 301, 243)(214, 244, 277, 230)(215, 245, 295, 246)(218, 252, 317, 253)(219, 254, 320, 255)(222, 234, 285, 261)(224, 264, 318, 265)(225, 266, 332, 267)(226, 268, 303, 269)(232, 280, 345, 281)(233, 283, 350, 284)(235, 286, 344, 287)(237, 291, 358, 292)(238, 293, 360, 294)(241, 299, 351, 300)(248, 310, 272, 311)(249, 313, 271, 279)(250, 314, 275, 307)(251, 315, 365, 316)(256, 309, 260, 322)(258, 324, 273, 290)(259, 325, 375, 326)(262, 329, 371, 323)(263, 288, 356, 302)(274, 335, 340, 337)(276, 338, 330, 339)(278, 342, 377, 343)(282, 348, 333, 349)(289, 357, 306, 353)(297, 362, 304, 341)(298, 363, 384, 364)(305, 366, 327, 368)(308, 347, 379, 369)(312, 367, 378, 370)(319, 373, 321, 374)(328, 346, 334, 352)(331, 376, 381, 354)(336, 361, 383, 359)(355, 380, 372, 382)
	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) :: { ( 6^4 ) }
Outer automorphisms :: chiral
Dual of E17.2142
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2142 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X1^3, X2^4, (X1^-1 * X2^-1)^4, (X2 * X1^-1)^4, X2^2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 13, 205, 14, 206)(6, 198, 15, 207, 17, 209)(7, 199, 18, 210, 19, 211)(9, 201, 22, 214, 23, 215)(11, 203, 26, 218, 28, 220)(12, 204, 29, 221, 30, 222)(16, 208, 37, 229, 38, 230)(20, 212, 45, 237, 47, 239)(21, 213, 48, 240, 49, 241)(24, 216, 54, 246, 42, 234)(25, 217, 56, 248, 57, 249)(27, 219, 60, 252, 61, 253)(31, 223, 67, 259, 69, 261)(32, 224, 62, 254, 70, 262)(33, 225, 71, 263, 73, 265)(34, 226, 74, 266, 35, 227)(36, 228, 76, 268, 77, 269)(39, 231, 82, 274, 65, 257)(40, 232, 84, 276, 85, 277)(41, 233, 86, 278, 88, 280)(43, 235, 89, 281, 91, 283)(44, 236, 92, 284, 58, 250)(46, 238, 94, 286, 95, 287)(50, 242, 100, 292, 102, 294)(51, 243, 103, 295, 104, 296)(52, 244, 105, 297, 80, 272)(53, 245, 107, 299, 108, 300)(55, 247, 111, 303, 112, 304)(59, 251, 106, 298, 115, 307)(63, 255, 101, 293, 120, 312)(64, 256, 121, 313, 123, 315)(66, 258, 124, 316, 125, 317)(68, 260, 122, 314, 87, 279)(72, 264, 132, 324, 110, 302)(75, 267, 135, 327, 136, 328)(78, 270, 96, 288, 138, 330)(79, 271, 139, 331, 140, 332)(81, 273, 141, 333, 142, 334)(83, 275, 128, 320, 145, 337)(90, 282, 149, 341, 144, 336)(93, 285, 131, 323, 130, 322)(97, 289, 153, 345, 154, 346)(98, 290, 117, 309, 156, 348)(99, 291, 126, 318, 109, 301)(113, 305, 147, 339, 164, 356)(114, 306, 165, 357, 166, 358)(116, 308, 133, 325, 168, 360)(118, 310, 169, 361, 170, 362)(119, 311, 148, 340, 171, 363)(127, 319, 173, 365, 134, 326)(129, 321, 167, 359, 172, 364)(137, 329, 146, 338, 143, 335)(150, 342, 157, 349, 184, 376)(151, 343, 187, 379, 176, 368)(152, 344, 186, 378, 178, 370)(155, 347, 185, 377, 181, 373)(158, 350, 182, 374, 174, 366)(159, 351, 162, 354, 188, 380)(160, 352, 183, 375, 189, 381)(161, 353, 190, 382, 191, 383)(163, 355, 192, 384, 179, 371)(175, 367, 177, 369, 180, 372)
	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, 223)(14, 225)(15, 227)(16, 199)(17, 231)(18, 233)(19, 235)(20, 238)(21, 200)(22, 242)(23, 244)(24, 247)(25, 202)(26, 250)(27, 204)(28, 254)(29, 256)(30, 258)(31, 260)(32, 205)(33, 264)(34, 206)(35, 267)(36, 207)(37, 270)(38, 272)(39, 275)(40, 209)(41, 279)(42, 210)(43, 282)(44, 211)(45, 222)(46, 213)(47, 288)(48, 273)(49, 290)(50, 293)(51, 214)(52, 298)(53, 215)(54, 301)(55, 217)(56, 271)(57, 305)(58, 306)(59, 218)(60, 308)(61, 297)(62, 311)(63, 220)(64, 314)(65, 221)(66, 285)(67, 300)(68, 224)(69, 319)(70, 321)(71, 323)(72, 226)(73, 295)(74, 325)(75, 228)(76, 310)(77, 296)(78, 248)(79, 229)(80, 240)(81, 230)(82, 335)(83, 232)(84, 309)(85, 289)(86, 334)(87, 234)(88, 339)(89, 324)(90, 236)(91, 331)(92, 292)(93, 237)(94, 342)(95, 265)(96, 277)(97, 239)(98, 347)(99, 241)(100, 249)(101, 243)(102, 349)(103, 344)(104, 351)(105, 268)(106, 245)(107, 343)(108, 352)(109, 353)(110, 246)(111, 315)(112, 263)(113, 284)(114, 251)(115, 332)(116, 276)(117, 252)(118, 253)(119, 255)(120, 326)(121, 362)(122, 257)(123, 345)(124, 341)(125, 348)(126, 259)(127, 366)(128, 261)(129, 367)(130, 262)(131, 355)(132, 368)(133, 312)(134, 266)(135, 369)(136, 283)(137, 269)(138, 372)(139, 371)(140, 374)(141, 370)(142, 375)(143, 376)(144, 274)(145, 281)(146, 278)(147, 377)(148, 280)(149, 378)(150, 299)(151, 286)(152, 287)(153, 354)(154, 350)(155, 291)(156, 379)(157, 346)(158, 294)(159, 329)(160, 318)(161, 302)(162, 303)(163, 304)(164, 380)(165, 382)(166, 317)(167, 307)(168, 383)(169, 384)(170, 381)(171, 316)(172, 313)(173, 373)(174, 320)(175, 322)(176, 337)(177, 333)(178, 327)(179, 328)(180, 365)(181, 330)(182, 359)(183, 338)(184, 336)(185, 340)(186, 363)(187, 358)(188, 360)(189, 364)(190, 361)(191, 356)(192, 357)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: chiral
Dual of E17.2141
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.2143 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X1^4, X2^4, X1^4, (X2 * X1)^3, X2^-2 * X1^-1 * X2 * X1^2 * X2^-1 * X1, X2 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1^-2 * X2 * X1^-2, X2 * X1 * X2^-1 * X1^-2 * X2^-1 * X1^2 * X2 * X1^-1 * X2^-1 * X1^-1, X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1^2 * X2 * X1 * X2^-1 * X1^-1, (X2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 23, 215, 11, 203)(5, 197, 14, 206, 34, 226, 15, 207)(7, 199, 18, 210, 43, 235, 20, 212)(8, 200, 21, 213, 49, 241, 22, 214)(10, 202, 26, 218, 58, 250, 27, 219)(12, 204, 30, 222, 61, 253, 32, 224)(13, 205, 33, 225, 55, 247, 24, 216)(16, 208, 38, 230, 77, 269, 40, 232)(17, 209, 41, 233, 83, 275, 42, 234)(19, 211, 45, 237, 88, 280, 46, 238)(25, 217, 56, 248, 107, 299, 57, 249)(28, 220, 63, 255, 37, 229, 65, 257)(29, 221, 66, 258, 113, 305, 59, 251)(31, 223, 68, 260, 125, 317, 69, 261)(35, 227, 62, 254, 117, 309, 74, 266)(36, 228, 75, 267, 135, 327, 76, 268)(39, 231, 79, 271, 140, 332, 80, 272)(44, 236, 86, 278, 151, 343, 87, 279)(47, 239, 92, 284, 52, 244, 94, 286)(48, 240, 95, 287, 157, 349, 89, 281)(50, 242, 91, 283, 160, 352, 98, 290)(51, 243, 99, 291, 171, 363, 100, 292)(53, 245, 101, 293, 148, 340, 102, 294)(54, 246, 103, 295, 70, 262, 104, 296)(60, 252, 114, 306, 176, 368, 115, 307)(64, 256, 119, 311, 180, 372, 120, 312)(67, 259, 123, 315, 174, 366, 124, 316)(71, 263, 129, 321, 181, 373, 126, 318)(72, 264, 130, 322, 154, 346, 132, 324)(73, 265, 112, 304, 137, 329, 121, 313)(78, 270, 138, 330, 183, 375, 139, 331)(81, 273, 143, 335, 84, 276, 145, 337)(82, 274, 146, 338, 186, 378, 141, 333)(85, 277, 149, 341, 106, 298, 150, 342)(90, 282, 158, 350, 111, 303, 159, 351)(93, 285, 162, 354, 192, 384, 163, 355)(96, 288, 166, 358, 122, 314, 168, 360)(97, 289, 156, 348, 116, 308, 164, 356)(105, 297, 170, 362, 110, 302, 153, 345)(108, 300, 173, 365, 184, 376, 161, 353)(109, 301, 147, 339, 134, 326, 165, 357)(118, 310, 179, 371, 189, 381, 152, 344)(127, 319, 175, 367, 185, 377, 178, 370)(128, 320, 182, 374, 191, 383, 167, 359)(131, 323, 144, 336, 190, 382, 177, 369)(133, 325, 169, 361, 136, 328, 172, 364)(142, 334, 187, 379, 155, 347, 188, 380)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 208)(7, 211)(8, 194)(9, 216)(10, 197)(11, 220)(12, 223)(13, 196)(14, 227)(15, 229)(16, 231)(17, 198)(18, 207)(19, 200)(20, 239)(21, 242)(22, 244)(23, 245)(24, 246)(25, 201)(26, 251)(27, 253)(28, 256)(29, 203)(30, 234)(31, 205)(32, 262)(33, 243)(34, 264)(35, 233)(36, 206)(37, 236)(38, 214)(39, 209)(40, 273)(41, 228)(42, 276)(43, 277)(44, 210)(45, 281)(46, 215)(47, 285)(48, 212)(49, 288)(50, 225)(51, 213)(52, 270)(53, 283)(54, 217)(55, 297)(56, 300)(57, 302)(58, 303)(59, 304)(60, 218)(61, 308)(62, 219)(63, 280)(64, 221)(65, 313)(66, 301)(67, 222)(68, 318)(69, 269)(70, 320)(71, 224)(72, 323)(73, 226)(74, 325)(75, 272)(76, 328)(77, 329)(78, 230)(79, 333)(80, 235)(81, 336)(82, 232)(83, 339)(84, 259)(85, 267)(86, 344)(87, 346)(88, 347)(89, 348)(90, 237)(91, 238)(92, 332)(93, 240)(94, 356)(95, 345)(96, 359)(97, 241)(98, 361)(99, 261)(100, 364)(101, 249)(102, 334)(103, 341)(104, 250)(105, 355)(106, 247)(107, 366)(108, 258)(109, 248)(110, 337)(111, 365)(112, 252)(113, 367)(114, 369)(115, 370)(116, 254)(117, 349)(118, 255)(119, 358)(120, 340)(121, 331)(122, 257)(123, 371)(124, 357)(125, 368)(126, 342)(127, 260)(128, 263)(129, 360)(130, 268)(131, 265)(132, 330)(133, 354)(134, 266)(135, 373)(136, 374)(137, 291)(138, 376)(139, 314)(140, 377)(141, 294)(142, 271)(143, 317)(144, 274)(145, 293)(146, 324)(147, 312)(148, 275)(149, 279)(150, 319)(151, 299)(152, 287)(153, 278)(154, 295)(155, 310)(156, 282)(157, 306)(158, 383)(159, 307)(160, 378)(161, 284)(162, 326)(163, 298)(164, 316)(165, 286)(166, 292)(167, 289)(168, 315)(169, 382)(170, 290)(171, 305)(172, 311)(173, 296)(174, 375)(175, 384)(176, 381)(177, 309)(178, 380)(179, 321)(180, 327)(181, 379)(182, 322)(183, 343)(184, 338)(185, 353)(186, 350)(187, 372)(188, 351)(189, 335)(190, 362)(191, 352)(192, 363)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2144 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X2^4, X1^4, (X2 * X1)^3, X2 * X1^-2 * X2^2 * X1^-1 * X2^-1 * X1 * X2^-1 * X1^-1, X2 * X1^-1 * X2^-2 * X1 * X2 * X1^-1 * X2^-2 * X1^-1, (X2 * X1^-2)^4, (X1^-1 * X2^-1 * X1^-2 * X2 * X1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 23, 215, 11, 203)(5, 197, 14, 206, 34, 226, 15, 207)(7, 199, 18, 210, 43, 235, 20, 212)(8, 200, 21, 213, 49, 241, 22, 214)(10, 202, 26, 218, 59, 251, 27, 219)(12, 204, 30, 222, 68, 260, 32, 224)(13, 205, 33, 225, 56, 248, 24, 216)(16, 208, 38, 230, 84, 276, 40, 232)(17, 209, 41, 233, 90, 282, 42, 234)(19, 211, 45, 237, 98, 290, 46, 238)(25, 217, 57, 249, 120, 312, 58, 250)(28, 220, 64, 256, 129, 321, 66, 258)(29, 221, 67, 259, 109, 301, 60, 252)(31, 223, 70, 262, 136, 328, 71, 263)(35, 227, 63, 255, 91, 283, 79, 271)(36, 228, 80, 272, 144, 336, 81, 273)(37, 229, 82, 274, 93, 285, 83, 275)(39, 231, 86, 278, 149, 341, 87, 279)(44, 236, 96, 288, 163, 355, 97, 289)(47, 239, 103, 295, 169, 361, 105, 297)(48, 240, 106, 298, 158, 350, 99, 291)(50, 242, 102, 294, 74, 266, 110, 302)(51, 243, 111, 303, 175, 367, 112, 304)(52, 244, 113, 305, 55, 247, 114, 306)(53, 245, 115, 307, 157, 349, 116, 308)(54, 246, 95, 287, 147, 339, 117, 309)(61, 253, 104, 296, 151, 343, 126, 318)(62, 254, 127, 319, 148, 340, 85, 277)(65, 257, 100, 292, 153, 345, 131, 323)(69, 261, 101, 293, 167, 359, 135, 327)(72, 264, 138, 330, 180, 372, 123, 315)(73, 265, 139, 331, 78, 270, 137, 329)(75, 267, 141, 333, 181, 373, 124, 316)(76, 268, 132, 324, 156, 348, 142, 334)(77, 269, 134, 326, 146, 338, 143, 335)(88, 280, 152, 344, 186, 378, 154, 346)(89, 281, 155, 347, 140, 332, 150, 342)(92, 284, 159, 351, 188, 380, 160, 352)(94, 286, 161, 353, 119, 311, 162, 354)(107, 299, 170, 362, 118, 310, 173, 365)(108, 300, 172, 364, 130, 322, 174, 366)(121, 313, 176, 368, 133, 325, 179, 371)(122, 314, 171, 363, 125, 317, 164, 356)(128, 320, 165, 357, 187, 379, 166, 358)(145, 337, 184, 376, 185, 377, 168, 360)(177, 369, 190, 382, 183, 375, 191, 383)(178, 370, 189, 381, 182, 374, 192, 384)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 208)(7, 211)(8, 194)(9, 216)(10, 197)(11, 220)(12, 223)(13, 196)(14, 227)(15, 229)(16, 231)(17, 198)(18, 207)(19, 200)(20, 239)(21, 242)(22, 244)(23, 245)(24, 247)(25, 201)(26, 252)(27, 254)(28, 257)(29, 203)(30, 234)(31, 205)(32, 264)(33, 266)(34, 268)(35, 270)(36, 206)(37, 236)(38, 214)(39, 209)(40, 280)(41, 283)(42, 285)(43, 286)(44, 210)(45, 291)(46, 293)(47, 296)(48, 212)(49, 299)(50, 301)(51, 213)(52, 277)(53, 295)(54, 215)(55, 217)(56, 310)(57, 313)(58, 314)(59, 315)(60, 317)(61, 218)(62, 320)(63, 219)(64, 309)(65, 221)(66, 324)(67, 325)(68, 322)(69, 222)(70, 329)(71, 288)(72, 318)(73, 224)(74, 332)(75, 225)(76, 303)(77, 226)(78, 228)(79, 279)(80, 311)(81, 290)(82, 335)(83, 307)(84, 338)(85, 230)(86, 342)(87, 249)(88, 345)(89, 232)(90, 348)(91, 350)(92, 233)(93, 261)(94, 344)(95, 235)(96, 356)(97, 357)(98, 258)(99, 358)(100, 237)(101, 360)(102, 238)(103, 246)(104, 240)(105, 362)(106, 363)(107, 351)(108, 241)(109, 243)(110, 263)(111, 269)(112, 341)(113, 366)(114, 353)(115, 250)(116, 347)(117, 260)(118, 272)(119, 248)(120, 367)(121, 271)(122, 275)(123, 365)(124, 251)(125, 253)(126, 265)(127, 373)(128, 255)(129, 374)(130, 256)(131, 262)(132, 273)(133, 375)(134, 259)(135, 368)(136, 346)(137, 371)(138, 339)(139, 376)(140, 267)(141, 349)(142, 352)(143, 340)(144, 361)(145, 274)(146, 330)(147, 276)(148, 337)(149, 297)(150, 377)(151, 278)(152, 287)(153, 281)(154, 334)(155, 379)(156, 333)(157, 282)(158, 284)(159, 300)(160, 328)(161, 289)(162, 331)(163, 380)(164, 302)(165, 306)(166, 292)(167, 336)(168, 294)(169, 383)(170, 304)(171, 384)(172, 298)(173, 316)(174, 327)(175, 378)(176, 305)(177, 308)(178, 312)(179, 323)(180, 382)(181, 321)(182, 319)(183, 326)(184, 381)(185, 343)(186, 370)(187, 369)(188, 372)(189, 354)(190, 355)(191, 359)(192, 364)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2145 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
Aut   = ((C4 x C4) : C3) : C4 (small group id <192, 185>)
|r| :: 1
Presentation :: [ X2^4, X1^4, (X2 * X1)^3, X2 * X1^-2 * X2^-1 * X1 * X2^-1 * X1^-2 * X2^-1 * X1, X2 * X1 * X2^-1 * X1 * X2 * X1^-1 * X2^-2 * X1^-2, X2 * X1^-1 * X2 * X1 * X2^2 * X1^-2 * X2 * X1^-1, X2^2 * X1 * X2^2 * X1^-1 * X2 * X1^-1 * X2^-1 * X1^-1 * X2 * X1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 23, 215, 11, 203)(5, 197, 14, 206, 34, 226, 15, 207)(7, 199, 18, 210, 43, 235, 20, 212)(8, 200, 21, 213, 49, 241, 22, 214)(10, 202, 26, 218, 59, 251, 27, 219)(12, 204, 30, 222, 68, 260, 32, 224)(13, 205, 33, 225, 56, 248, 24, 216)(16, 208, 38, 230, 84, 276, 40, 232)(17, 209, 41, 233, 90, 282, 42, 234)(19, 211, 45, 237, 98, 290, 46, 238)(25, 217, 57, 249, 120, 312, 58, 250)(28, 220, 64, 256, 91, 283, 66, 258)(29, 221, 67, 259, 104, 296, 60, 252)(31, 223, 70, 262, 136, 328, 71, 263)(35, 227, 63, 255, 88, 280, 79, 271)(36, 228, 80, 272, 93, 285, 81, 273)(37, 229, 82, 274, 92, 284, 83, 275)(39, 231, 86, 278, 149, 341, 87, 279)(44, 236, 96, 288, 159, 351, 97, 289)(47, 239, 103, 295, 74, 266, 105, 297)(48, 240, 106, 298, 152, 344, 99, 291)(50, 242, 102, 294, 72, 264, 110, 302)(51, 243, 111, 303, 55, 247, 112, 304)(52, 244, 113, 305, 75, 267, 114, 306)(53, 245, 115, 307, 155, 347, 95, 287)(54, 246, 117, 309, 171, 363, 108, 300)(61, 253, 125, 317, 148, 340, 85, 277)(62, 254, 126, 318, 177, 369, 128, 320)(65, 257, 129, 321, 73, 265, 130, 322)(69, 261, 100, 292, 164, 356, 135, 327)(76, 268, 122, 314, 169, 361, 133, 325)(77, 269, 134, 326, 146, 338, 140, 332)(78, 270, 141, 333, 181, 373, 142, 334)(89, 281, 153, 345, 138, 330, 150, 342)(94, 286, 157, 349, 119, 311, 147, 339)(101, 293, 165, 357, 116, 308, 167, 359)(107, 299, 161, 353, 188, 380, 170, 362)(109, 301, 172, 364, 192, 384, 173, 365)(118, 310, 175, 367, 132, 324, 178, 370)(121, 313, 166, 358, 124, 316, 168, 360)(123, 315, 156, 348, 190, 382, 180, 372)(127, 319, 160, 352, 131, 323, 163, 355)(137, 329, 183, 375, 185, 377, 179, 371)(139, 331, 184, 376, 191, 383, 162, 354)(143, 335, 174, 366, 145, 337, 176, 368)(144, 336, 182, 374, 189, 381, 154, 346)(151, 343, 186, 378, 158, 350, 187, 379)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 208)(7, 211)(8, 194)(9, 216)(10, 197)(11, 220)(12, 223)(13, 196)(14, 227)(15, 229)(16, 231)(17, 198)(18, 207)(19, 200)(20, 239)(21, 242)(22, 244)(23, 245)(24, 247)(25, 201)(26, 252)(27, 254)(28, 257)(29, 203)(30, 234)(31, 205)(32, 264)(33, 266)(34, 268)(35, 270)(36, 206)(37, 236)(38, 214)(39, 209)(40, 280)(41, 283)(42, 285)(43, 286)(44, 210)(45, 291)(46, 293)(47, 296)(48, 212)(49, 299)(50, 301)(51, 213)(52, 277)(53, 308)(54, 215)(55, 217)(56, 310)(57, 278)(58, 314)(59, 306)(60, 316)(61, 218)(62, 319)(63, 219)(64, 300)(65, 221)(66, 279)(67, 324)(68, 309)(69, 222)(70, 321)(71, 329)(72, 330)(73, 224)(74, 331)(75, 225)(76, 302)(77, 226)(78, 228)(79, 311)(80, 335)(81, 307)(82, 332)(83, 337)(84, 338)(85, 230)(86, 342)(87, 343)(88, 344)(89, 232)(90, 346)(91, 348)(92, 233)(93, 261)(94, 350)(95, 235)(96, 262)(97, 353)(98, 272)(99, 355)(100, 237)(101, 358)(102, 238)(103, 347)(104, 240)(105, 263)(106, 361)(107, 256)(108, 241)(109, 243)(110, 269)(111, 366)(112, 349)(113, 363)(114, 368)(115, 250)(116, 246)(117, 369)(118, 271)(119, 248)(120, 371)(121, 249)(122, 273)(123, 251)(124, 253)(125, 359)(126, 372)(127, 255)(128, 357)(129, 352)(130, 374)(131, 258)(132, 364)(133, 259)(134, 260)(135, 367)(136, 275)(137, 360)(138, 265)(139, 267)(140, 340)(141, 370)(142, 341)(143, 354)(144, 274)(145, 365)(146, 377)(147, 276)(148, 336)(149, 303)(150, 313)(151, 323)(152, 281)(153, 380)(154, 295)(155, 282)(156, 284)(157, 289)(158, 287)(159, 320)(160, 288)(161, 304)(162, 290)(163, 292)(164, 379)(165, 383)(166, 294)(167, 378)(168, 297)(169, 382)(170, 298)(171, 327)(172, 325)(173, 328)(174, 334)(175, 305)(176, 315)(177, 326)(178, 322)(179, 318)(180, 312)(181, 317)(182, 333)(183, 384)(184, 381)(185, 339)(186, 373)(187, 375)(188, 376)(189, 345)(190, 362)(191, 351)(192, 356)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2146 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C4 (small group id <192, 1495>)
Aut   = $<384, 20100>$ (small group id <384, 20100>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 55, 25)(13, 31, 65, 32)(14, 33, 69, 34)(15, 35, 71, 36)(17, 39, 77, 40)(18, 41, 79, 42)(19, 43, 81, 44)(22, 50, 91, 51)(23, 52, 95, 53)(26, 57, 102, 58)(28, 61, 88, 48)(29, 62, 106, 63)(30, 64, 83, 45)(37, 72, 117, 73)(38, 74, 120, 75)(47, 86, 134, 87)(49, 89, 135, 90)(54, 97, 146, 98)(56, 100, 149, 101)(59, 85, 133, 103)(60, 104, 150, 105)(66, 108, 153, 109)(67, 110, 154, 111)(68, 112, 155, 113)(70, 115, 158, 116)(76, 121, 164, 122)(78, 124, 167, 125)(80, 126, 168, 127)(82, 129, 171, 130)(84, 131, 172, 132)(92, 137, 175, 138)(93, 139, 176, 140)(94, 141, 177, 142)(96, 144, 180, 145)(99, 147, 181, 148)(107, 151, 182, 152)(114, 156, 183, 157)(118, 160, 186, 161)(119, 162, 187, 163)(123, 165, 188, 166)(128, 169, 189, 170)(136, 173, 190, 174)(143, 178, 191, 179)(159, 184, 192, 185)(193, 194, 196)(195, 200, 202)(197, 205, 206)(198, 207, 209)(199, 210, 211)(201, 214, 215)(203, 218, 220)(204, 221, 222)(208, 229, 230)(212, 237, 239)(213, 240, 241)(216, 246, 234)(217, 248, 228)(219, 251, 252)(223, 256, 258)(224, 253, 259)(225, 260, 233)(226, 262, 227)(231, 268, 255)(232, 270, 250)(235, 272, 254)(236, 274, 249)(238, 276, 277)(242, 263, 284)(243, 271, 285)(244, 286, 280)(245, 288, 275)(247, 266, 291)(257, 299, 295)(261, 267, 306)(264, 294, 310)(265, 298, 311)(269, 296, 315)(273, 297, 320)(278, 313, 293)(279, 318, 290)(281, 316, 292)(282, 321, 289)(283, 328, 312)(287, 325, 335)(300, 314, 308)(301, 319, 305)(302, 317, 307)(303, 322, 304)(309, 351, 342)(323, 338, 362)(324, 341, 358)(326, 339, 355)(327, 340, 353)(329, 356, 337)(330, 359, 334)(331, 360, 336)(332, 363, 333)(343, 347, 361)(344, 350, 357)(345, 348, 354)(346, 349, 352)(364, 376, 373)(365, 369, 378)(366, 372, 379)(367, 370, 380)(368, 371, 381)(374, 377, 375)(382, 384, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2147
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.2147 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C4 (small group id <192, 1495>)
Aut   = $<384, 20100>$ (small group id <384, 20100>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1^-1 * T2 * T1^-1)^2, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2^-1 * T1^-1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2^-1, T1^-1)^3 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195, 9, 201, 5, 197)(2, 194, 6, 198, 16, 208, 7, 199)(4, 196, 11, 203, 27, 219, 12, 204)(8, 200, 20, 212, 46, 238, 21, 213)(10, 202, 24, 216, 55, 247, 25, 217)(13, 205, 31, 223, 65, 257, 32, 224)(14, 206, 33, 225, 69, 261, 34, 226)(15, 207, 35, 227, 71, 263, 36, 228)(17, 209, 39, 231, 77, 269, 40, 232)(18, 210, 41, 233, 79, 271, 42, 234)(19, 211, 43, 235, 81, 273, 44, 236)(22, 214, 50, 242, 91, 283, 51, 243)(23, 215, 52, 244, 95, 287, 53, 245)(26, 218, 57, 249, 102, 294, 58, 250)(28, 220, 61, 253, 88, 280, 48, 240)(29, 221, 62, 254, 106, 298, 63, 255)(30, 222, 64, 256, 83, 275, 45, 237)(37, 229, 72, 264, 117, 309, 73, 265)(38, 230, 74, 266, 120, 312, 75, 267)(47, 239, 86, 278, 134, 326, 87, 279)(49, 241, 89, 281, 135, 327, 90, 282)(54, 246, 97, 289, 146, 338, 98, 290)(56, 248, 100, 292, 149, 341, 101, 293)(59, 251, 85, 277, 133, 325, 103, 295)(60, 252, 104, 296, 150, 342, 105, 297)(66, 258, 108, 300, 153, 345, 109, 301)(67, 259, 110, 302, 154, 346, 111, 303)(68, 260, 112, 304, 155, 347, 113, 305)(70, 262, 115, 307, 158, 350, 116, 308)(76, 268, 121, 313, 164, 356, 122, 314)(78, 270, 124, 316, 167, 359, 125, 317)(80, 272, 126, 318, 168, 360, 127, 319)(82, 274, 129, 321, 171, 363, 130, 322)(84, 276, 131, 323, 172, 364, 132, 324)(92, 284, 137, 329, 175, 367, 138, 330)(93, 285, 139, 331, 176, 368, 140, 332)(94, 286, 141, 333, 177, 369, 142, 334)(96, 288, 144, 336, 180, 372, 145, 337)(99, 291, 147, 339, 181, 373, 148, 340)(107, 299, 151, 343, 182, 374, 152, 344)(114, 306, 156, 348, 183, 375, 157, 349)(118, 310, 160, 352, 186, 378, 161, 353)(119, 311, 162, 354, 187, 379, 163, 355)(123, 315, 165, 357, 188, 380, 166, 358)(128, 320, 169, 361, 189, 381, 170, 362)(136, 328, 173, 365, 190, 382, 174, 366)(143, 335, 178, 370, 191, 383, 179, 371)(159, 351, 184, 376, 192, 384, 185, 377)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 205)(6, 207)(7, 210)(8, 202)(9, 214)(10, 195)(11, 218)(12, 221)(13, 206)(14, 197)(15, 209)(16, 229)(17, 198)(18, 211)(19, 199)(20, 237)(21, 240)(22, 215)(23, 201)(24, 246)(25, 248)(26, 220)(27, 251)(28, 203)(29, 222)(30, 204)(31, 256)(32, 253)(33, 260)(34, 262)(35, 226)(36, 217)(37, 230)(38, 208)(39, 268)(40, 270)(41, 225)(42, 216)(43, 272)(44, 274)(45, 239)(46, 276)(47, 212)(48, 241)(49, 213)(50, 263)(51, 271)(52, 286)(53, 288)(54, 234)(55, 266)(56, 228)(57, 236)(58, 232)(59, 252)(60, 219)(61, 259)(62, 235)(63, 231)(64, 258)(65, 299)(66, 223)(67, 224)(68, 233)(69, 267)(70, 227)(71, 284)(72, 294)(73, 298)(74, 291)(75, 306)(76, 255)(77, 296)(78, 250)(79, 285)(80, 254)(81, 297)(82, 249)(83, 245)(84, 277)(85, 238)(86, 313)(87, 318)(88, 244)(89, 316)(90, 321)(91, 328)(92, 242)(93, 243)(94, 280)(95, 325)(96, 275)(97, 282)(98, 279)(99, 247)(100, 281)(101, 278)(102, 310)(103, 257)(104, 315)(105, 320)(106, 311)(107, 295)(108, 314)(109, 319)(110, 317)(111, 322)(112, 303)(113, 301)(114, 261)(115, 302)(116, 300)(117, 351)(118, 264)(119, 265)(120, 283)(121, 293)(122, 308)(123, 269)(124, 292)(125, 307)(126, 290)(127, 305)(128, 273)(129, 289)(130, 304)(131, 338)(132, 341)(133, 335)(134, 339)(135, 340)(136, 312)(137, 356)(138, 359)(139, 360)(140, 363)(141, 332)(142, 330)(143, 287)(144, 331)(145, 329)(146, 362)(147, 355)(148, 353)(149, 358)(150, 309)(151, 347)(152, 350)(153, 348)(154, 349)(155, 361)(156, 354)(157, 352)(158, 357)(159, 342)(160, 346)(161, 327)(162, 345)(163, 326)(164, 337)(165, 344)(166, 324)(167, 334)(168, 336)(169, 343)(170, 323)(171, 333)(172, 376)(173, 369)(174, 372)(175, 370)(176, 371)(177, 378)(178, 380)(179, 381)(180, 379)(181, 364)(182, 377)(183, 374)(184, 373)(185, 375)(186, 365)(187, 366)(188, 367)(189, 368)(190, 384)(191, 382)(192, 383)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2146
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2148 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C4 (small group id <192, 1495>)
Aut   = $<384, 20100>$ (small group id <384, 20100>)
|r| :: 2
Presentation :: [ R^2, Y3^-1 * Y1^-1, Y3^-2 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2^-1, Y2 * Y3 * Y2^-1 * Y3 * Y2 * Y1^-1 * Y2^-1 * Y1^-1, (Y3 * Y2^-1)^4, Y2 * Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1, Y2^-1 * Y1 * Y2^-1 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 13, 205, 14, 206)(6, 198, 15, 207, 17, 209)(7, 199, 18, 210, 19, 211)(9, 201, 22, 214, 23, 215)(11, 203, 26, 218, 28, 220)(12, 204, 29, 221, 30, 222)(16, 208, 37, 229, 38, 230)(20, 212, 45, 237, 47, 239)(21, 213, 48, 240, 49, 241)(24, 216, 54, 246, 42, 234)(25, 217, 56, 248, 36, 228)(27, 219, 59, 251, 60, 252)(31, 223, 64, 256, 66, 258)(32, 224, 61, 253, 67, 259)(33, 225, 68, 260, 41, 233)(34, 226, 70, 262, 35, 227)(39, 231, 76, 268, 63, 255)(40, 232, 78, 270, 58, 250)(43, 235, 80, 272, 62, 254)(44, 236, 82, 274, 57, 249)(46, 238, 84, 276, 85, 277)(50, 242, 71, 263, 92, 284)(51, 243, 79, 271, 93, 285)(52, 244, 94, 286, 88, 280)(53, 245, 96, 288, 83, 275)(55, 247, 74, 266, 99, 291)(65, 257, 107, 299, 103, 295)(69, 261, 75, 267, 114, 306)(72, 264, 102, 294, 118, 310)(73, 265, 106, 298, 119, 311)(77, 269, 104, 296, 123, 315)(81, 273, 105, 297, 128, 320)(86, 278, 121, 313, 101, 293)(87, 279, 126, 318, 98, 290)(89, 281, 124, 316, 100, 292)(90, 282, 129, 321, 97, 289)(91, 283, 136, 328, 120, 312)(95, 287, 133, 325, 143, 335)(108, 300, 122, 314, 116, 308)(109, 301, 127, 319, 113, 305)(110, 302, 125, 317, 115, 307)(111, 303, 130, 322, 112, 304)(117, 309, 159, 351, 150, 342)(131, 323, 146, 338, 170, 362)(132, 324, 149, 341, 166, 358)(134, 326, 147, 339, 163, 355)(135, 327, 148, 340, 161, 353)(137, 329, 164, 356, 145, 337)(138, 330, 167, 359, 142, 334)(139, 331, 168, 360, 144, 336)(140, 332, 171, 363, 141, 333)(151, 343, 155, 347, 169, 361)(152, 344, 158, 350, 165, 357)(153, 345, 156, 348, 162, 354)(154, 346, 157, 349, 160, 352)(172, 364, 184, 376, 181, 373)(173, 365, 177, 369, 186, 378)(174, 366, 180, 372, 187, 379)(175, 367, 178, 370, 188, 380)(176, 368, 179, 371, 189, 381)(182, 374, 185, 377, 183, 375)(190, 382, 192, 384, 191, 383)(385, 577, 387, 579, 393, 585, 389, 581)(386, 578, 390, 582, 400, 592, 391, 583)(388, 580, 395, 587, 411, 603, 396, 588)(392, 584, 404, 596, 430, 622, 405, 597)(394, 586, 408, 600, 439, 631, 409, 601)(397, 589, 415, 607, 449, 641, 416, 608)(398, 590, 417, 609, 453, 645, 418, 610)(399, 591, 419, 611, 455, 647, 420, 612)(401, 593, 423, 615, 461, 653, 424, 616)(402, 594, 425, 617, 463, 655, 426, 618)(403, 595, 427, 619, 465, 657, 428, 620)(406, 598, 434, 626, 475, 667, 435, 627)(407, 599, 436, 628, 479, 671, 437, 629)(410, 602, 441, 633, 486, 678, 442, 634)(412, 604, 445, 637, 472, 664, 432, 624)(413, 605, 446, 638, 490, 682, 447, 639)(414, 606, 448, 640, 467, 659, 429, 621)(421, 613, 456, 648, 501, 693, 457, 649)(422, 614, 458, 650, 504, 696, 459, 651)(431, 623, 470, 662, 518, 710, 471, 663)(433, 625, 473, 665, 519, 711, 474, 666)(438, 630, 481, 673, 530, 722, 482, 674)(440, 632, 484, 676, 533, 725, 485, 677)(443, 635, 469, 661, 517, 709, 487, 679)(444, 636, 488, 680, 534, 726, 489, 681)(450, 642, 492, 684, 537, 729, 493, 685)(451, 643, 494, 686, 538, 730, 495, 687)(452, 644, 496, 688, 539, 731, 497, 689)(454, 646, 499, 691, 542, 734, 500, 692)(460, 652, 505, 697, 548, 740, 506, 698)(462, 654, 508, 700, 551, 743, 509, 701)(464, 656, 510, 702, 552, 744, 511, 703)(466, 658, 513, 705, 555, 747, 514, 706)(468, 660, 515, 707, 556, 748, 516, 708)(476, 668, 521, 713, 559, 751, 522, 714)(477, 669, 523, 715, 560, 752, 524, 716)(478, 670, 525, 717, 561, 753, 526, 718)(480, 672, 528, 720, 564, 756, 529, 721)(483, 675, 531, 723, 565, 757, 532, 724)(491, 683, 535, 727, 566, 758, 536, 728)(498, 690, 540, 732, 567, 759, 541, 733)(502, 694, 544, 736, 570, 762, 545, 737)(503, 695, 546, 738, 571, 763, 547, 739)(507, 699, 549, 741, 572, 764, 550, 742)(512, 704, 553, 745, 573, 765, 554, 746)(520, 712, 557, 749, 574, 766, 558, 750)(527, 719, 562, 754, 575, 767, 563, 755)(543, 735, 568, 760, 576, 768, 569, 761)
	L = (1, 388)(2, 385)(3, 394)(4, 386)(5, 398)(6, 401)(7, 403)(8, 387)(9, 407)(10, 392)(11, 412)(12, 414)(13, 389)(14, 397)(15, 390)(16, 422)(17, 399)(18, 391)(19, 402)(20, 431)(21, 433)(22, 393)(23, 406)(24, 426)(25, 420)(26, 395)(27, 444)(28, 410)(29, 396)(30, 413)(31, 450)(32, 451)(33, 425)(34, 419)(35, 454)(36, 440)(37, 400)(38, 421)(39, 447)(40, 442)(41, 452)(42, 438)(43, 446)(44, 441)(45, 404)(46, 469)(47, 429)(48, 405)(49, 432)(50, 476)(51, 477)(52, 472)(53, 467)(54, 408)(55, 483)(56, 409)(57, 466)(58, 462)(59, 411)(60, 443)(61, 416)(62, 464)(63, 460)(64, 415)(65, 487)(66, 448)(67, 445)(68, 417)(69, 498)(70, 418)(71, 434)(72, 502)(73, 503)(74, 439)(75, 453)(76, 423)(77, 507)(78, 424)(79, 435)(80, 427)(81, 512)(82, 428)(83, 480)(84, 430)(85, 468)(86, 485)(87, 482)(88, 478)(89, 484)(90, 481)(91, 504)(92, 455)(93, 463)(94, 436)(95, 527)(96, 437)(97, 513)(98, 510)(99, 458)(100, 508)(101, 505)(102, 456)(103, 491)(104, 461)(105, 465)(106, 457)(107, 449)(108, 500)(109, 497)(110, 499)(111, 496)(112, 514)(113, 511)(114, 459)(115, 509)(116, 506)(117, 534)(118, 486)(119, 490)(120, 520)(121, 470)(122, 492)(123, 488)(124, 473)(125, 494)(126, 471)(127, 493)(128, 489)(129, 474)(130, 495)(131, 554)(132, 550)(133, 479)(134, 547)(135, 545)(136, 475)(137, 529)(138, 526)(139, 528)(140, 525)(141, 555)(142, 551)(143, 517)(144, 552)(145, 548)(146, 515)(147, 518)(148, 519)(149, 516)(150, 543)(151, 553)(152, 549)(153, 546)(154, 544)(155, 535)(156, 537)(157, 538)(158, 536)(159, 501)(160, 541)(161, 532)(162, 540)(163, 531)(164, 521)(165, 542)(166, 533)(167, 522)(168, 523)(169, 539)(170, 530)(171, 524)(172, 565)(173, 570)(174, 571)(175, 572)(176, 573)(177, 557)(178, 559)(179, 560)(180, 558)(181, 568)(182, 567)(183, 569)(184, 556)(185, 566)(186, 561)(187, 564)(188, 562)(189, 563)(190, 575)(191, 576)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2149
Graph:: bipartite
	v = 112 e = 384 f = 240
	degree seq :: [ 6^64, 8^48 ]

E17.2149 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = ((C2 x C2 x C2 x C2) : C3) : C4 (small group id <192, 1495>)
Aut   = $<384, 20100>$ (small group id <384, 20100>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y1 * Y3^-1 * Y1^-1 * Y3^-1)^2, (Y3^-1 * Y1^-1)^4, (Y3 * Y1^-1)^4, Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3 * Y1 * Y3^-1, (Y3^-1, Y1^-1)^3 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 10, 202)(5, 197, 13, 205, 30, 222, 14, 206)(7, 199, 17, 209, 39, 231, 18, 210)(8, 200, 19, 211, 44, 236, 20, 212)(11, 203, 26, 218, 57, 249, 27, 219)(12, 204, 28, 220, 62, 254, 29, 221)(15, 207, 35, 227, 71, 263, 36, 228)(16, 208, 37, 229, 76, 268, 38, 230)(22, 214, 51, 243, 72, 264, 48, 240)(23, 215, 52, 244, 96, 288, 53, 245)(24, 216, 54, 246, 74, 266, 46, 238)(25, 217, 55, 247, 99, 291, 56, 248)(31, 223, 67, 259, 115, 307, 68, 260)(32, 224, 60, 252, 78, 270, 42, 234)(33, 225, 69, 261, 116, 308, 70, 262)(34, 226, 58, 250, 80, 272, 40, 232)(41, 233, 83, 275, 131, 323, 84, 276)(43, 235, 85, 277, 134, 326, 86, 278)(45, 237, 89, 281, 139, 331, 90, 282)(47, 239, 91, 283, 140, 332, 92, 284)(49, 241, 93, 285, 141, 333, 94, 286)(50, 242, 87, 279, 118, 310, 95, 287)(59, 251, 104, 296, 152, 344, 105, 297)(61, 253, 106, 298, 153, 345, 107, 299)(63, 255, 109, 301, 156, 348, 110, 302)(64, 256, 111, 303, 157, 349, 112, 304)(65, 257, 82, 274, 123, 315, 103, 295)(66, 258, 113, 305, 158, 350, 114, 306)(73, 265, 119, 311, 161, 353, 120, 312)(75, 267, 121, 313, 164, 356, 122, 314)(77, 269, 125, 317, 169, 361, 126, 318)(79, 271, 127, 319, 170, 362, 128, 320)(81, 273, 129, 321, 171, 363, 130, 322)(88, 280, 137, 329, 176, 368, 138, 330)(97, 289, 132, 324, 162, 354, 145, 337)(98, 290, 135, 327, 163, 355, 146, 338)(100, 292, 133, 325, 165, 357, 148, 340)(101, 293, 136, 328, 166, 358, 149, 341)(102, 294, 150, 342, 182, 374, 151, 343)(108, 300, 154, 346, 183, 375, 155, 347)(117, 309, 159, 351, 184, 376, 160, 352)(124, 316, 167, 359, 189, 381, 168, 360)(142, 334, 178, 370, 185, 377, 175, 367)(143, 335, 179, 371, 186, 378, 174, 366)(144, 336, 180, 372, 187, 379, 173, 365)(147, 339, 181, 373, 188, 380, 172, 364)(177, 369, 190, 382, 192, 384, 191, 383)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 389)(4, 395)(5, 385)(6, 399)(7, 392)(8, 386)(9, 406)(10, 408)(11, 396)(12, 388)(13, 415)(14, 417)(15, 400)(16, 390)(17, 424)(18, 426)(19, 429)(20, 431)(21, 433)(22, 407)(23, 393)(24, 409)(25, 394)(26, 442)(27, 444)(28, 447)(29, 448)(30, 449)(31, 416)(32, 397)(33, 418)(34, 398)(35, 456)(36, 458)(37, 461)(38, 463)(39, 465)(40, 425)(41, 401)(42, 427)(43, 402)(44, 471)(45, 430)(46, 403)(47, 432)(48, 404)(49, 434)(50, 405)(51, 413)(52, 481)(53, 482)(54, 412)(55, 484)(56, 485)(57, 486)(58, 443)(59, 410)(60, 445)(61, 411)(62, 479)(63, 438)(64, 435)(65, 450)(66, 414)(67, 440)(68, 437)(69, 439)(70, 436)(71, 501)(72, 457)(73, 419)(74, 459)(75, 420)(76, 507)(77, 462)(78, 421)(79, 464)(80, 422)(81, 466)(82, 423)(83, 516)(84, 517)(85, 519)(86, 520)(87, 472)(88, 428)(89, 470)(90, 468)(91, 469)(92, 467)(93, 499)(94, 500)(95, 492)(96, 497)(97, 454)(98, 452)(99, 498)(100, 453)(101, 451)(102, 487)(103, 441)(104, 529)(105, 532)(106, 530)(107, 533)(108, 446)(109, 491)(110, 489)(111, 490)(112, 488)(113, 528)(114, 531)(115, 526)(116, 527)(117, 502)(118, 455)(119, 546)(120, 547)(121, 549)(122, 550)(123, 508)(124, 460)(125, 506)(126, 504)(127, 505)(128, 503)(129, 523)(130, 524)(131, 521)(132, 476)(133, 474)(134, 522)(135, 475)(136, 473)(137, 558)(138, 559)(139, 556)(140, 557)(141, 561)(142, 477)(143, 478)(144, 480)(145, 496)(146, 495)(147, 483)(148, 494)(149, 493)(150, 540)(151, 541)(152, 538)(153, 539)(154, 563)(155, 562)(156, 565)(157, 564)(158, 525)(159, 553)(160, 554)(161, 551)(162, 512)(163, 510)(164, 552)(165, 511)(166, 509)(167, 571)(168, 572)(169, 569)(170, 570)(171, 574)(172, 513)(173, 514)(174, 515)(175, 518)(176, 555)(177, 542)(178, 537)(179, 536)(180, 535)(181, 534)(182, 575)(183, 566)(184, 576)(185, 543)(186, 544)(187, 545)(188, 548)(189, 568)(190, 560)(191, 567)(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, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2148
Graph:: simple bipartite
	v = 240 e = 384 f = 112
	degree seq :: [ 2^192, 8^48 ]

E17.2150 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = C2 . (((C2 x C2 x C2 x C2) : C3) : C2) = (((C2 x D8) : C2) : C3) . C2 (small group id <192, 1491>)
Aut   = $<384, 20095>$ (small group id <384, 20095>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1, (T1 * T2^2)^3, T2^2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 55, 25)(13, 31, 68, 32)(14, 33, 72, 34)(15, 35, 75, 36)(17, 39, 81, 40)(18, 41, 85, 42)(19, 43, 88, 44)(22, 50, 61, 51)(23, 52, 37, 53)(26, 58, 112, 59)(28, 62, 115, 63)(29, 64, 119, 65)(30, 66, 91, 45)(38, 78, 60, 79)(47, 93, 154, 94)(48, 95, 156, 96)(49, 97, 121, 98)(54, 106, 164, 107)(56, 109, 86, 110)(57, 111, 157, 99)(67, 105, 163, 123)(69, 124, 116, 125)(70, 126, 172, 127)(71, 128, 77, 129)(73, 101, 159, 130)(74, 131, 174, 132)(76, 134, 178, 135)(80, 139, 182, 140)(82, 142, 120, 143)(83, 144, 162, 104)(84, 138, 181, 145)(87, 146, 114, 147)(89, 103, 161, 148)(90, 149, 184, 150)(92, 152, 108, 153)(100, 158, 169, 118)(102, 113, 165, 160)(117, 168, 180, 137)(122, 136, 179, 170)(133, 175, 141, 176)(151, 185, 167, 186)(155, 188, 171, 189)(166, 187, 173, 190)(177, 191, 183, 192)(193, 194, 196)(195, 200, 202)(197, 205, 206)(198, 207, 209)(199, 210, 211)(201, 214, 215)(203, 218, 220)(204, 221, 222)(208, 229, 230)(212, 237, 239)(213, 240, 241)(216, 246, 234)(217, 248, 249)(219, 252, 253)(223, 259, 261)(224, 254, 262)(225, 263, 265)(226, 266, 227)(228, 268, 269)(231, 272, 257)(232, 274, 275)(233, 276, 278)(235, 279, 281)(236, 282, 250)(238, 264, 284)(242, 291, 292)(243, 293, 294)(244, 295, 288)(245, 296, 297)(247, 300, 260)(251, 305, 306)(255, 308, 309)(256, 310, 312)(258, 313, 314)(267, 280, 325)(270, 328, 327)(271, 329, 330)(273, 333, 277)(283, 343, 304)(285, 342, 302)(286, 335, 323)(287, 347, 336)(289, 339, 321)(290, 332, 298)(299, 318, 338)(301, 317, 334)(303, 357, 358)(307, 359, 311)(315, 363, 340)(316, 341, 324)(319, 331, 320)(322, 361, 365)(326, 369, 360)(337, 375, 362)(344, 379, 378)(345, 367, 380)(346, 371, 348)(349, 373, 356)(350, 374, 354)(351, 370, 366)(352, 376, 353)(355, 364, 372)(368, 377, 383)(381, 384, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2151
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.2151 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = C2 . (((C2 x C2 x C2 x C2) : C3) : C2) = (((C2 x D8) : C2) : C3) . C2 (small group id <192, 1491>)
Aut   = $<384, 20095>$ (small group id <384, 20095>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T2^-1 * T1^-1)^4, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1, (T1 * T2^2)^3, T2^2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1^-1, T2 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195, 9, 201, 5, 197)(2, 194, 6, 198, 16, 208, 7, 199)(4, 196, 11, 203, 27, 219, 12, 204)(8, 200, 20, 212, 46, 238, 21, 213)(10, 202, 24, 216, 55, 247, 25, 217)(13, 205, 31, 223, 68, 260, 32, 224)(14, 206, 33, 225, 72, 264, 34, 226)(15, 207, 35, 227, 75, 267, 36, 228)(17, 209, 39, 231, 81, 273, 40, 232)(18, 210, 41, 233, 85, 277, 42, 234)(19, 211, 43, 235, 88, 280, 44, 236)(22, 214, 50, 242, 61, 253, 51, 243)(23, 215, 52, 244, 37, 229, 53, 245)(26, 218, 58, 250, 112, 304, 59, 251)(28, 220, 62, 254, 115, 307, 63, 255)(29, 221, 64, 256, 119, 311, 65, 257)(30, 222, 66, 258, 91, 283, 45, 237)(38, 230, 78, 270, 60, 252, 79, 271)(47, 239, 93, 285, 154, 346, 94, 286)(48, 240, 95, 287, 156, 348, 96, 288)(49, 241, 97, 289, 121, 313, 98, 290)(54, 246, 106, 298, 164, 356, 107, 299)(56, 248, 109, 301, 86, 278, 110, 302)(57, 249, 111, 303, 157, 349, 99, 291)(67, 259, 105, 297, 163, 355, 123, 315)(69, 261, 124, 316, 116, 308, 125, 317)(70, 262, 126, 318, 172, 364, 127, 319)(71, 263, 128, 320, 77, 269, 129, 321)(73, 265, 101, 293, 159, 351, 130, 322)(74, 266, 131, 323, 174, 366, 132, 324)(76, 268, 134, 326, 178, 370, 135, 327)(80, 272, 139, 331, 182, 374, 140, 332)(82, 274, 142, 334, 120, 312, 143, 335)(83, 275, 144, 336, 162, 354, 104, 296)(84, 276, 138, 330, 181, 373, 145, 337)(87, 279, 146, 338, 114, 306, 147, 339)(89, 281, 103, 295, 161, 353, 148, 340)(90, 282, 149, 341, 184, 376, 150, 342)(92, 284, 152, 344, 108, 300, 153, 345)(100, 292, 158, 350, 169, 361, 118, 310)(102, 294, 113, 305, 165, 357, 160, 352)(117, 309, 168, 360, 180, 372, 137, 329)(122, 314, 136, 328, 179, 371, 170, 362)(133, 325, 175, 367, 141, 333, 176, 368)(151, 343, 185, 377, 167, 359, 186, 378)(155, 347, 188, 380, 171, 363, 189, 381)(166, 358, 187, 379, 173, 365, 190, 382)(177, 369, 191, 383, 183, 375, 192, 384)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 205)(6, 207)(7, 210)(8, 202)(9, 214)(10, 195)(11, 218)(12, 221)(13, 206)(14, 197)(15, 209)(16, 229)(17, 198)(18, 211)(19, 199)(20, 237)(21, 240)(22, 215)(23, 201)(24, 246)(25, 248)(26, 220)(27, 252)(28, 203)(29, 222)(30, 204)(31, 259)(32, 254)(33, 263)(34, 266)(35, 226)(36, 268)(37, 230)(38, 208)(39, 272)(40, 274)(41, 276)(42, 216)(43, 279)(44, 282)(45, 239)(46, 264)(47, 212)(48, 241)(49, 213)(50, 291)(51, 293)(52, 295)(53, 296)(54, 234)(55, 300)(56, 249)(57, 217)(58, 236)(59, 305)(60, 253)(61, 219)(62, 262)(63, 308)(64, 310)(65, 231)(66, 313)(67, 261)(68, 247)(69, 223)(70, 224)(71, 265)(72, 284)(73, 225)(74, 227)(75, 280)(76, 269)(77, 228)(78, 328)(79, 329)(80, 257)(81, 333)(82, 275)(83, 232)(84, 278)(85, 273)(86, 233)(87, 281)(88, 325)(89, 235)(90, 250)(91, 343)(92, 238)(93, 342)(94, 335)(95, 347)(96, 244)(97, 339)(98, 332)(99, 292)(100, 242)(101, 294)(102, 243)(103, 288)(104, 297)(105, 245)(106, 290)(107, 318)(108, 260)(109, 317)(110, 285)(111, 357)(112, 283)(113, 306)(114, 251)(115, 359)(116, 309)(117, 255)(118, 312)(119, 307)(120, 256)(121, 314)(122, 258)(123, 363)(124, 341)(125, 334)(126, 338)(127, 331)(128, 319)(129, 289)(130, 361)(131, 286)(132, 316)(133, 267)(134, 369)(135, 270)(136, 327)(137, 330)(138, 271)(139, 320)(140, 298)(141, 277)(142, 301)(143, 323)(144, 287)(145, 375)(146, 299)(147, 321)(148, 315)(149, 324)(150, 302)(151, 304)(152, 379)(153, 367)(154, 371)(155, 336)(156, 346)(157, 373)(158, 374)(159, 370)(160, 376)(161, 352)(162, 350)(163, 364)(164, 349)(165, 358)(166, 303)(167, 311)(168, 326)(169, 365)(170, 337)(171, 340)(172, 372)(173, 322)(174, 351)(175, 380)(176, 377)(177, 360)(178, 366)(179, 348)(180, 355)(181, 356)(182, 354)(183, 362)(184, 353)(185, 383)(186, 344)(187, 378)(188, 345)(189, 384)(190, 381)(191, 368)(192, 382)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2150
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2152 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = C2 . (((C2 x C2 x C2 x C2) : C3) : C2) = (((C2 x D8) : C2) : C3) . C2 (small group id <192, 1491>)
Aut   = $<384, 20095>$ (small group id <384, 20095>)
|r| :: 2
Presentation :: [ R^2, Y1 * Y3, Y1^2 * Y3^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3 * Y2 * Y3 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y1 * Y2 * Y3^-1 * Y2 * Y3^-1, Y2 * Y3 * Y2^-2 * Y1^-1 * Y2^-2 * Y3 * Y2, Y2^-2 * Y1 * Y2^-2 * Y3^-1 * Y2^-2 * Y3^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y3 * Y2^-2 * Y1^-1 * Y2 * Y3^-1, Y3^-1 * Y2^-2 * Y1 * Y2 * Y3 * Y2^-1 * Y1^-1 * Y2^-1 * Y1^-1 * Y2, Y2 * Y1 * Y2 * Y3 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y3^-1 * Y2^-1 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2^-1 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 13, 205, 14, 206)(6, 198, 15, 207, 17, 209)(7, 199, 18, 210, 19, 211)(9, 201, 22, 214, 23, 215)(11, 203, 26, 218, 28, 220)(12, 204, 29, 221, 30, 222)(16, 208, 37, 229, 38, 230)(20, 212, 45, 237, 47, 239)(21, 213, 48, 240, 49, 241)(24, 216, 54, 246, 42, 234)(25, 217, 56, 248, 57, 249)(27, 219, 60, 252, 61, 253)(31, 223, 67, 259, 69, 261)(32, 224, 62, 254, 70, 262)(33, 225, 71, 263, 73, 265)(34, 226, 74, 266, 35, 227)(36, 228, 76, 268, 77, 269)(39, 231, 80, 272, 65, 257)(40, 232, 82, 274, 83, 275)(41, 233, 84, 276, 86, 278)(43, 235, 87, 279, 89, 281)(44, 236, 90, 282, 58, 250)(46, 238, 72, 264, 92, 284)(50, 242, 99, 291, 100, 292)(51, 243, 101, 293, 102, 294)(52, 244, 103, 295, 96, 288)(53, 245, 104, 296, 105, 297)(55, 247, 108, 300, 68, 260)(59, 251, 113, 305, 114, 306)(63, 255, 116, 308, 117, 309)(64, 256, 118, 310, 120, 312)(66, 258, 121, 313, 122, 314)(75, 267, 88, 280, 133, 325)(78, 270, 136, 328, 135, 327)(79, 271, 137, 329, 138, 330)(81, 273, 141, 333, 85, 277)(91, 283, 151, 343, 112, 304)(93, 285, 150, 342, 110, 302)(94, 286, 143, 335, 131, 323)(95, 287, 155, 347, 144, 336)(97, 289, 147, 339, 129, 321)(98, 290, 140, 332, 106, 298)(107, 299, 126, 318, 146, 338)(109, 301, 125, 317, 142, 334)(111, 303, 165, 357, 166, 358)(115, 307, 167, 359, 119, 311)(123, 315, 171, 363, 148, 340)(124, 316, 149, 341, 132, 324)(127, 319, 139, 331, 128, 320)(130, 322, 169, 361, 173, 365)(134, 326, 177, 369, 168, 360)(145, 337, 183, 375, 170, 362)(152, 344, 187, 379, 186, 378)(153, 345, 175, 367, 188, 380)(154, 346, 179, 371, 156, 348)(157, 349, 181, 373, 164, 356)(158, 350, 182, 374, 162, 354)(159, 351, 178, 370, 174, 366)(160, 352, 184, 376, 161, 353)(163, 355, 172, 364, 180, 372)(176, 368, 185, 377, 191, 383)(189, 381, 192, 384, 190, 382)(385, 577, 387, 579, 393, 585, 389, 581)(386, 578, 390, 582, 400, 592, 391, 583)(388, 580, 395, 587, 411, 603, 396, 588)(392, 584, 404, 596, 430, 622, 405, 597)(394, 586, 408, 600, 439, 631, 409, 601)(397, 589, 415, 607, 452, 644, 416, 608)(398, 590, 417, 609, 456, 648, 418, 610)(399, 591, 419, 611, 459, 651, 420, 612)(401, 593, 423, 615, 465, 657, 424, 616)(402, 594, 425, 617, 469, 661, 426, 618)(403, 595, 427, 619, 472, 664, 428, 620)(406, 598, 434, 626, 445, 637, 435, 627)(407, 599, 436, 628, 421, 613, 437, 629)(410, 602, 442, 634, 496, 688, 443, 635)(412, 604, 446, 638, 499, 691, 447, 639)(413, 605, 448, 640, 503, 695, 449, 641)(414, 606, 450, 642, 475, 667, 429, 621)(422, 614, 462, 654, 444, 636, 463, 655)(431, 623, 477, 669, 538, 730, 478, 670)(432, 624, 479, 671, 540, 732, 480, 672)(433, 625, 481, 673, 505, 697, 482, 674)(438, 630, 490, 682, 548, 740, 491, 683)(440, 632, 493, 685, 470, 662, 494, 686)(441, 633, 495, 687, 541, 733, 483, 675)(451, 643, 489, 681, 547, 739, 507, 699)(453, 645, 508, 700, 500, 692, 509, 701)(454, 646, 510, 702, 556, 748, 511, 703)(455, 647, 512, 704, 461, 653, 513, 705)(457, 649, 485, 677, 543, 735, 514, 706)(458, 650, 515, 707, 558, 750, 516, 708)(460, 652, 518, 710, 562, 754, 519, 711)(464, 656, 523, 715, 566, 758, 524, 716)(466, 658, 526, 718, 504, 696, 527, 719)(467, 659, 528, 720, 546, 738, 488, 680)(468, 660, 522, 714, 565, 757, 529, 721)(471, 663, 530, 722, 498, 690, 531, 723)(473, 665, 487, 679, 545, 737, 532, 724)(474, 666, 533, 725, 568, 760, 534, 726)(476, 668, 536, 728, 492, 684, 537, 729)(484, 676, 542, 734, 553, 745, 502, 694)(486, 678, 497, 689, 549, 741, 544, 736)(501, 693, 552, 744, 564, 756, 521, 713)(506, 698, 520, 712, 563, 755, 554, 746)(517, 709, 559, 751, 525, 717, 560, 752)(535, 727, 569, 761, 551, 743, 570, 762)(539, 731, 572, 764, 555, 747, 573, 765)(550, 742, 571, 763, 557, 749, 574, 766)(561, 753, 575, 767, 567, 759, 576, 768)
	L = (1, 388)(2, 385)(3, 394)(4, 386)(5, 398)(6, 401)(7, 403)(8, 387)(9, 407)(10, 392)(11, 412)(12, 414)(13, 389)(14, 397)(15, 390)(16, 422)(17, 399)(18, 391)(19, 402)(20, 431)(21, 433)(22, 393)(23, 406)(24, 426)(25, 441)(26, 395)(27, 445)(28, 410)(29, 396)(30, 413)(31, 453)(32, 454)(33, 457)(34, 419)(35, 458)(36, 461)(37, 400)(38, 421)(39, 449)(40, 467)(41, 470)(42, 438)(43, 473)(44, 442)(45, 404)(46, 476)(47, 429)(48, 405)(49, 432)(50, 484)(51, 486)(52, 480)(53, 489)(54, 408)(55, 452)(56, 409)(57, 440)(58, 474)(59, 498)(60, 411)(61, 444)(62, 416)(63, 501)(64, 504)(65, 464)(66, 506)(67, 415)(68, 492)(69, 451)(70, 446)(71, 417)(72, 430)(73, 455)(74, 418)(75, 517)(76, 420)(77, 460)(78, 519)(79, 522)(80, 423)(81, 469)(82, 424)(83, 466)(84, 425)(85, 525)(86, 468)(87, 427)(88, 459)(89, 471)(90, 428)(91, 496)(92, 456)(93, 494)(94, 515)(95, 528)(96, 487)(97, 513)(98, 490)(99, 434)(100, 483)(101, 435)(102, 485)(103, 436)(104, 437)(105, 488)(106, 524)(107, 530)(108, 439)(109, 526)(110, 534)(111, 550)(112, 535)(113, 443)(114, 497)(115, 503)(116, 447)(117, 500)(118, 448)(119, 551)(120, 502)(121, 450)(122, 505)(123, 532)(124, 516)(125, 493)(126, 491)(127, 512)(128, 523)(129, 531)(130, 557)(131, 527)(132, 533)(133, 472)(134, 552)(135, 520)(136, 462)(137, 463)(138, 521)(139, 511)(140, 482)(141, 465)(142, 509)(143, 478)(144, 539)(145, 554)(146, 510)(147, 481)(148, 555)(149, 508)(150, 477)(151, 475)(152, 570)(153, 572)(154, 540)(155, 479)(156, 563)(157, 548)(158, 546)(159, 558)(160, 545)(161, 568)(162, 566)(163, 564)(164, 565)(165, 495)(166, 549)(167, 499)(168, 561)(169, 514)(170, 567)(171, 507)(172, 547)(173, 553)(174, 562)(175, 537)(176, 575)(177, 518)(178, 543)(179, 538)(180, 556)(181, 541)(182, 542)(183, 529)(184, 544)(185, 560)(186, 571)(187, 536)(188, 559)(189, 574)(190, 576)(191, 569)(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) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2153
Graph:: bipartite
	v = 112 e = 384 f = 240
	degree seq :: [ 6^64, 8^48 ]

E17.2153 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = C2 . (((C2 x C2 x C2 x C2) : C3) : C2) = (((C2 x D8) : C2) : C3) . C2 (small group id <192, 1491>)
Aut   = $<384, 20095>$ (small group id <384, 20095>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1)^4, (Y3^-1 * Y1^-1)^4, Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1, Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^-1, Y3 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 10, 202)(5, 197, 13, 205, 30, 222, 14, 206)(7, 199, 17, 209, 39, 231, 18, 210)(8, 200, 19, 211, 44, 236, 20, 212)(11, 203, 26, 218, 58, 250, 27, 219)(12, 204, 28, 220, 63, 255, 29, 221)(15, 207, 35, 227, 68, 260, 36, 228)(16, 208, 37, 229, 49, 241, 38, 230)(22, 214, 51, 243, 99, 291, 52, 244)(23, 215, 53, 245, 102, 294, 54, 246)(24, 216, 55, 247, 93, 285, 46, 238)(25, 217, 56, 248, 108, 300, 57, 249)(31, 223, 69, 261, 123, 315, 70, 262)(32, 224, 61, 253, 115, 307, 71, 263)(33, 225, 72, 264, 128, 320, 73, 265)(34, 226, 74, 266, 84, 276, 40, 232)(41, 233, 85, 277, 144, 336, 86, 278)(42, 234, 87, 279, 138, 330, 80, 272)(43, 235, 88, 280, 131, 323, 89, 281)(45, 237, 91, 283, 151, 343, 92, 284)(47, 239, 94, 286, 107, 299, 95, 287)(48, 240, 96, 288, 133, 325, 75, 267)(50, 242, 97, 289, 67, 259, 98, 290)(59, 251, 82, 274, 140, 332, 112, 304)(60, 252, 113, 305, 126, 318, 114, 306)(62, 254, 116, 308, 169, 361, 117, 309)(64, 256, 118, 310, 101, 293, 119, 311)(65, 257, 77, 269, 135, 327, 120, 312)(66, 258, 121, 313, 172, 364, 122, 314)(76, 268, 134, 326, 170, 362, 129, 321)(78, 270, 124, 316, 155, 347, 136, 328)(79, 271, 137, 329, 165, 357, 110, 302)(81, 273, 105, 297, 148, 340, 139, 331)(83, 275, 141, 333, 90, 282, 142, 334)(100, 292, 162, 354, 177, 369, 158, 350)(103, 295, 163, 355, 176, 368, 150, 342)(104, 296, 154, 346, 130, 322, 146, 338)(106, 298, 160, 352, 175, 367, 164, 356)(109, 301, 152, 344, 125, 317, 149, 341)(111, 303, 166, 358, 178, 370, 145, 337)(127, 319, 173, 365, 180, 372, 159, 351)(132, 324, 157, 349, 179, 371, 174, 366)(143, 335, 185, 377, 168, 360, 182, 374)(147, 339, 184, 376, 167, 359, 186, 378)(153, 345, 187, 379, 161, 353, 183, 375)(156, 348, 181, 373, 171, 363, 188, 380)(189, 381, 191, 383, 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, 391)(3, 389)(4, 395)(5, 385)(6, 399)(7, 392)(8, 386)(9, 406)(10, 408)(11, 396)(12, 388)(13, 415)(14, 417)(15, 400)(16, 390)(17, 424)(18, 426)(19, 429)(20, 431)(21, 433)(22, 407)(23, 393)(24, 409)(25, 394)(26, 443)(27, 445)(28, 448)(29, 450)(30, 451)(31, 416)(32, 397)(33, 418)(34, 398)(35, 459)(36, 461)(37, 463)(38, 465)(39, 447)(40, 425)(41, 401)(42, 427)(43, 402)(44, 474)(45, 430)(46, 403)(47, 432)(48, 404)(49, 434)(50, 405)(51, 413)(52, 484)(53, 487)(54, 488)(55, 490)(56, 493)(57, 495)(58, 428)(59, 444)(60, 410)(61, 446)(62, 411)(63, 467)(64, 449)(65, 412)(66, 435)(67, 452)(68, 414)(69, 441)(70, 508)(71, 510)(72, 513)(73, 437)(74, 515)(75, 460)(76, 419)(77, 462)(78, 420)(79, 464)(80, 421)(81, 466)(82, 422)(83, 423)(84, 527)(85, 529)(86, 530)(87, 531)(88, 533)(89, 534)(90, 442)(91, 473)(92, 500)(93, 486)(94, 498)(95, 469)(96, 539)(97, 541)(98, 543)(99, 492)(100, 485)(101, 436)(102, 537)(103, 457)(104, 489)(105, 438)(106, 491)(107, 439)(108, 545)(109, 494)(110, 440)(111, 453)(112, 551)(113, 550)(114, 538)(115, 552)(116, 536)(117, 547)(118, 501)(119, 472)(120, 554)(121, 470)(122, 497)(123, 468)(124, 509)(125, 454)(126, 511)(127, 455)(128, 499)(129, 514)(130, 456)(131, 516)(132, 458)(133, 559)(134, 560)(135, 561)(136, 562)(137, 520)(138, 528)(139, 518)(140, 553)(141, 565)(142, 567)(143, 507)(144, 563)(145, 479)(146, 505)(147, 532)(148, 471)(149, 503)(150, 475)(151, 517)(152, 476)(153, 477)(154, 478)(155, 540)(156, 480)(157, 542)(158, 481)(159, 544)(160, 482)(161, 483)(162, 573)(163, 502)(164, 574)(165, 496)(166, 506)(167, 549)(168, 512)(169, 564)(170, 555)(171, 504)(172, 519)(173, 546)(174, 548)(175, 535)(176, 523)(177, 556)(178, 521)(179, 522)(180, 524)(181, 566)(182, 525)(183, 568)(184, 526)(185, 575)(186, 576)(187, 569)(188, 570)(189, 557)(190, 558)(191, 571)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2152
Graph:: simple bipartite
	v = 240 e = 384 f = 112
	degree seq :: [ 2^192, 8^48 ]

E17.2154 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 4, 4})
Quotient :: edge
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1493>)
Aut   = $<384, 20097>$ (small group id <384, 20097>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1)^4, (T2 * T1)^4, (T2^-2 * T1 * T2 * T1^-1)^2, (T2 * T1 * T2^-2 * T1^-1)^2, (T2^-2 * T1 * T2^-2 * T1^-1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 46, 21)(10, 24, 55, 25)(13, 31, 68, 32)(14, 33, 72, 34)(15, 35, 75, 36)(17, 39, 83, 40)(18, 41, 87, 42)(19, 43, 90, 44)(22, 50, 102, 51)(23, 52, 105, 53)(26, 58, 106, 59)(28, 62, 120, 63)(29, 64, 104, 65)(30, 66, 93, 45)(37, 78, 136, 79)(38, 80, 138, 81)(47, 95, 70, 96)(48, 97, 152, 98)(49, 99, 69, 100)(54, 108, 74, 109)(56, 112, 71, 113)(57, 114, 155, 101)(60, 117, 158, 110)(61, 118, 166, 119)(67, 107, 160, 127)(73, 103, 157, 130)(76, 132, 172, 128)(77, 133, 88, 134)(82, 139, 92, 140)(84, 141, 89, 142)(85, 143, 178, 135)(86, 94, 147, 144)(91, 137, 180, 146)(111, 162, 170, 126)(115, 164, 183, 145)(116, 153, 124, 149)(121, 163, 125, 167)(122, 168, 173, 129)(123, 131, 175, 169)(148, 185, 154, 186)(150, 187, 181, 184)(151, 156, 171, 188)(159, 174, 191, 165)(161, 190, 177, 189)(176, 179, 182, 192)(193, 194, 196)(195, 200, 202)(197, 205, 206)(198, 207, 209)(199, 210, 211)(201, 214, 215)(203, 218, 220)(204, 221, 222)(208, 229, 230)(212, 237, 239)(213, 240, 241)(216, 246, 234)(217, 248, 249)(219, 252, 253)(223, 259, 261)(224, 254, 262)(225, 263, 265)(226, 266, 227)(228, 268, 269)(231, 274, 257)(232, 276, 277)(233, 278, 280)(235, 281, 283)(236, 284, 250)(238, 286, 273)(242, 293, 282)(243, 295, 275)(244, 296, 290)(245, 298, 299)(247, 302, 303)(251, 307, 308)(255, 313, 314)(256, 315, 316)(258, 317, 318)(260, 320, 272)(264, 309, 321)(267, 323, 311)(270, 327, 285)(271, 329, 312)(279, 337, 310)(287, 340, 305)(288, 341, 342)(289, 343, 335)(291, 345, 325)(292, 346, 300)(294, 348, 330)(297, 350, 351)(301, 353, 334)(304, 355, 333)(306, 356, 357)(319, 363, 338)(322, 361, 366)(324, 368, 360)(326, 369, 331)(328, 371, 358)(332, 373, 359)(336, 374, 362)(339, 376, 347)(344, 381, 354)(349, 364, 379)(352, 382, 365)(367, 377, 370)(372, 375, 378)(380, 384, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8^3 ), ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2155
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 3^64, 4^48 ]

E17.2155 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 4, 4})
Quotient :: loop
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1493>)
Aut   = $<384, 20097>$ (small group id <384, 20097>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1)^4, (T2 * T1)^4, (T2^-2 * T1 * T2 * T1^-1)^2, (T2 * T1 * T2^-2 * T1^-1)^2, (T2^-2 * T1 * T2^-2 * T1^-1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1^-1)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 193, 3, 195, 9, 201, 5, 197)(2, 194, 6, 198, 16, 208, 7, 199)(4, 196, 11, 203, 27, 219, 12, 204)(8, 200, 20, 212, 46, 238, 21, 213)(10, 202, 24, 216, 55, 247, 25, 217)(13, 205, 31, 223, 68, 260, 32, 224)(14, 206, 33, 225, 72, 264, 34, 226)(15, 207, 35, 227, 75, 267, 36, 228)(17, 209, 39, 231, 83, 275, 40, 232)(18, 210, 41, 233, 87, 279, 42, 234)(19, 211, 43, 235, 90, 282, 44, 236)(22, 214, 50, 242, 102, 294, 51, 243)(23, 215, 52, 244, 105, 297, 53, 245)(26, 218, 58, 250, 106, 298, 59, 251)(28, 220, 62, 254, 120, 312, 63, 255)(29, 221, 64, 256, 104, 296, 65, 257)(30, 222, 66, 258, 93, 285, 45, 237)(37, 229, 78, 270, 136, 328, 79, 271)(38, 230, 80, 272, 138, 330, 81, 273)(47, 239, 95, 287, 70, 262, 96, 288)(48, 240, 97, 289, 152, 344, 98, 290)(49, 241, 99, 291, 69, 261, 100, 292)(54, 246, 108, 300, 74, 266, 109, 301)(56, 248, 112, 304, 71, 263, 113, 305)(57, 249, 114, 306, 155, 347, 101, 293)(60, 252, 117, 309, 158, 350, 110, 302)(61, 253, 118, 310, 166, 358, 119, 311)(67, 259, 107, 299, 160, 352, 127, 319)(73, 265, 103, 295, 157, 349, 130, 322)(76, 268, 132, 324, 172, 364, 128, 320)(77, 269, 133, 325, 88, 280, 134, 326)(82, 274, 139, 331, 92, 284, 140, 332)(84, 276, 141, 333, 89, 281, 142, 334)(85, 277, 143, 335, 178, 370, 135, 327)(86, 278, 94, 286, 147, 339, 144, 336)(91, 283, 137, 329, 180, 372, 146, 338)(111, 303, 162, 354, 170, 362, 126, 318)(115, 307, 164, 356, 183, 375, 145, 337)(116, 308, 153, 345, 124, 316, 149, 341)(121, 313, 163, 355, 125, 317, 167, 359)(122, 314, 168, 360, 173, 365, 129, 321)(123, 315, 131, 323, 175, 367, 169, 361)(148, 340, 185, 377, 154, 346, 186, 378)(150, 342, 187, 379, 181, 373, 184, 376)(151, 343, 156, 348, 171, 363, 188, 380)(159, 351, 174, 366, 191, 383, 165, 357)(161, 353, 190, 382, 177, 369, 189, 381)(176, 368, 179, 371, 182, 374, 192, 384)
	L = (1, 194)(2, 196)(3, 200)(4, 193)(5, 205)(6, 207)(7, 210)(8, 202)(9, 214)(10, 195)(11, 218)(12, 221)(13, 206)(14, 197)(15, 209)(16, 229)(17, 198)(18, 211)(19, 199)(20, 237)(21, 240)(22, 215)(23, 201)(24, 246)(25, 248)(26, 220)(27, 252)(28, 203)(29, 222)(30, 204)(31, 259)(32, 254)(33, 263)(34, 266)(35, 226)(36, 268)(37, 230)(38, 208)(39, 274)(40, 276)(41, 278)(42, 216)(43, 281)(44, 284)(45, 239)(46, 286)(47, 212)(48, 241)(49, 213)(50, 293)(51, 295)(52, 296)(53, 298)(54, 234)(55, 302)(56, 249)(57, 217)(58, 236)(59, 307)(60, 253)(61, 219)(62, 262)(63, 313)(64, 315)(65, 231)(66, 317)(67, 261)(68, 320)(69, 223)(70, 224)(71, 265)(72, 309)(73, 225)(74, 227)(75, 323)(76, 269)(77, 228)(78, 327)(79, 329)(80, 260)(81, 238)(82, 257)(83, 243)(84, 277)(85, 232)(86, 280)(87, 337)(88, 233)(89, 283)(90, 242)(91, 235)(92, 250)(93, 270)(94, 273)(95, 340)(96, 341)(97, 343)(98, 244)(99, 345)(100, 346)(101, 282)(102, 348)(103, 275)(104, 290)(105, 350)(106, 299)(107, 245)(108, 292)(109, 353)(110, 303)(111, 247)(112, 355)(113, 287)(114, 356)(115, 308)(116, 251)(117, 321)(118, 279)(119, 267)(120, 271)(121, 314)(122, 255)(123, 316)(124, 256)(125, 318)(126, 258)(127, 363)(128, 272)(129, 264)(130, 361)(131, 311)(132, 368)(133, 291)(134, 369)(135, 285)(136, 371)(137, 312)(138, 294)(139, 326)(140, 373)(141, 304)(142, 301)(143, 289)(144, 374)(145, 310)(146, 319)(147, 376)(148, 305)(149, 342)(150, 288)(151, 335)(152, 381)(153, 325)(154, 300)(155, 339)(156, 330)(157, 364)(158, 351)(159, 297)(160, 382)(161, 334)(162, 344)(163, 333)(164, 357)(165, 306)(166, 328)(167, 332)(168, 324)(169, 366)(170, 336)(171, 338)(172, 379)(173, 352)(174, 322)(175, 377)(176, 360)(177, 331)(178, 367)(179, 358)(180, 375)(181, 359)(182, 362)(183, 378)(184, 347)(185, 370)(186, 372)(187, 349)(188, 384)(189, 354)(190, 365)(191, 380)(192, 383)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2154
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2156 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1493>)
Aut   = $<384, 20097>$ (small group id <384, 20097>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y1, Y1^-1 * Y3 * Y1^-1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^4, Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3^-1 * Y2^-1, Y3 * Y2 * Y1 * Y2^-2 * Y1^-1 * Y2 * Y3^-1 * Y2^-2, Y2^-1 * Y3 * Y2^-1 * Y1 * Y2^-2 * Y1^-1 * Y2^-1 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2^-1 * Y3 * Y2^-2 * Y3^-1 * Y2^-1 * Y1^-1, Y2 * Y1 * Y2^-2 * Y3 * Y2 * Y3^-1 * Y2^-2 * Y1^-1, Y3 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2^-2 * Y3^-1 * Y2^-1, Y2^-2 * Y1 * Y2 * Y3 * Y2^-2 * Y3^-1 * Y2 * Y1^-1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y3 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1^-1, Y2^-1 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y3^-1 * Y2 * Y1^-1, Y3 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y3 * Y2 * Y3^-1 * Y2^-1 * Y1 * Y2^-1 ]
Map::
	R = (1, 193, 2, 194, 4, 196)(3, 195, 8, 200, 10, 202)(5, 197, 13, 205, 14, 206)(6, 198, 15, 207, 17, 209)(7, 199, 18, 210, 19, 211)(9, 201, 22, 214, 23, 215)(11, 203, 26, 218, 28, 220)(12, 204, 29, 221, 30, 222)(16, 208, 37, 229, 38, 230)(20, 212, 45, 237, 47, 239)(21, 213, 48, 240, 49, 241)(24, 216, 54, 246, 42, 234)(25, 217, 56, 248, 57, 249)(27, 219, 60, 252, 61, 253)(31, 223, 67, 259, 69, 261)(32, 224, 62, 254, 70, 262)(33, 225, 71, 263, 73, 265)(34, 226, 74, 266, 35, 227)(36, 228, 76, 268, 77, 269)(39, 231, 82, 274, 65, 257)(40, 232, 84, 276, 85, 277)(41, 233, 86, 278, 88, 280)(43, 235, 89, 281, 91, 283)(44, 236, 92, 284, 58, 250)(46, 238, 94, 286, 81, 273)(50, 242, 101, 293, 90, 282)(51, 243, 103, 295, 83, 275)(52, 244, 104, 296, 98, 290)(53, 245, 106, 298, 107, 299)(55, 247, 110, 302, 111, 303)(59, 251, 115, 307, 116, 308)(63, 255, 121, 313, 122, 314)(64, 256, 123, 315, 124, 316)(66, 258, 125, 317, 126, 318)(68, 260, 128, 320, 80, 272)(72, 264, 117, 309, 129, 321)(75, 267, 131, 323, 119, 311)(78, 270, 135, 327, 93, 285)(79, 271, 137, 329, 120, 312)(87, 279, 145, 337, 118, 310)(95, 287, 148, 340, 113, 305)(96, 288, 149, 341, 150, 342)(97, 289, 151, 343, 143, 335)(99, 291, 153, 345, 133, 325)(100, 292, 154, 346, 108, 300)(102, 294, 156, 348, 138, 330)(105, 297, 158, 350, 159, 351)(109, 301, 161, 353, 142, 334)(112, 304, 163, 355, 141, 333)(114, 306, 164, 356, 165, 357)(127, 319, 171, 363, 146, 338)(130, 322, 169, 361, 174, 366)(132, 324, 176, 368, 168, 360)(134, 326, 177, 369, 139, 331)(136, 328, 179, 371, 166, 358)(140, 332, 181, 373, 167, 359)(144, 336, 182, 374, 170, 362)(147, 339, 184, 376, 155, 347)(152, 344, 189, 381, 162, 354)(157, 349, 172, 364, 187, 379)(160, 352, 190, 382, 173, 365)(175, 367, 185, 377, 178, 370)(180, 372, 183, 375, 186, 378)(188, 380, 192, 384, 191, 383)(385, 577, 387, 579, 393, 585, 389, 581)(386, 578, 390, 582, 400, 592, 391, 583)(388, 580, 395, 587, 411, 603, 396, 588)(392, 584, 404, 596, 430, 622, 405, 597)(394, 586, 408, 600, 439, 631, 409, 601)(397, 589, 415, 607, 452, 644, 416, 608)(398, 590, 417, 609, 456, 648, 418, 610)(399, 591, 419, 611, 459, 651, 420, 612)(401, 593, 423, 615, 467, 659, 424, 616)(402, 594, 425, 617, 471, 663, 426, 618)(403, 595, 427, 619, 474, 666, 428, 620)(406, 598, 434, 626, 486, 678, 435, 627)(407, 599, 436, 628, 489, 681, 437, 629)(410, 602, 442, 634, 490, 682, 443, 635)(412, 604, 446, 638, 504, 696, 447, 639)(413, 605, 448, 640, 488, 680, 449, 641)(414, 606, 450, 642, 477, 669, 429, 621)(421, 613, 462, 654, 520, 712, 463, 655)(422, 614, 464, 656, 522, 714, 465, 657)(431, 623, 479, 671, 454, 646, 480, 672)(432, 624, 481, 673, 536, 728, 482, 674)(433, 625, 483, 675, 453, 645, 484, 676)(438, 630, 492, 684, 458, 650, 493, 685)(440, 632, 496, 688, 455, 647, 497, 689)(441, 633, 498, 690, 539, 731, 485, 677)(444, 636, 501, 693, 542, 734, 494, 686)(445, 637, 502, 694, 550, 742, 503, 695)(451, 643, 491, 683, 544, 736, 511, 703)(457, 649, 487, 679, 541, 733, 514, 706)(460, 652, 516, 708, 556, 748, 512, 704)(461, 653, 517, 709, 472, 664, 518, 710)(466, 658, 523, 715, 476, 668, 524, 716)(468, 660, 525, 717, 473, 665, 526, 718)(469, 661, 527, 719, 562, 754, 519, 711)(470, 662, 478, 670, 531, 723, 528, 720)(475, 667, 521, 713, 564, 756, 530, 722)(495, 687, 546, 738, 554, 746, 510, 702)(499, 691, 548, 740, 567, 759, 529, 721)(500, 692, 537, 729, 508, 700, 533, 725)(505, 697, 547, 739, 509, 701, 551, 743)(506, 698, 552, 744, 557, 749, 513, 705)(507, 699, 515, 707, 559, 751, 553, 745)(532, 724, 569, 761, 538, 730, 570, 762)(534, 726, 571, 763, 565, 757, 568, 760)(535, 727, 540, 732, 555, 747, 572, 764)(543, 735, 558, 750, 575, 767, 549, 741)(545, 737, 574, 766, 561, 753, 573, 765)(560, 752, 563, 755, 566, 758, 576, 768)
	L = (1, 388)(2, 385)(3, 394)(4, 386)(5, 398)(6, 401)(7, 403)(8, 387)(9, 407)(10, 392)(11, 412)(12, 414)(13, 389)(14, 397)(15, 390)(16, 422)(17, 399)(18, 391)(19, 402)(20, 431)(21, 433)(22, 393)(23, 406)(24, 426)(25, 441)(26, 395)(27, 445)(28, 410)(29, 396)(30, 413)(31, 453)(32, 454)(33, 457)(34, 419)(35, 458)(36, 461)(37, 400)(38, 421)(39, 449)(40, 469)(41, 472)(42, 438)(43, 475)(44, 442)(45, 404)(46, 465)(47, 429)(48, 405)(49, 432)(50, 474)(51, 467)(52, 482)(53, 491)(54, 408)(55, 495)(56, 409)(57, 440)(58, 476)(59, 500)(60, 411)(61, 444)(62, 416)(63, 506)(64, 508)(65, 466)(66, 510)(67, 415)(68, 464)(69, 451)(70, 446)(71, 417)(72, 513)(73, 455)(74, 418)(75, 503)(76, 420)(77, 460)(78, 477)(79, 504)(80, 512)(81, 478)(82, 423)(83, 487)(84, 424)(85, 468)(86, 425)(87, 502)(88, 470)(89, 427)(90, 485)(91, 473)(92, 428)(93, 519)(94, 430)(95, 497)(96, 534)(97, 527)(98, 488)(99, 517)(100, 492)(101, 434)(102, 522)(103, 435)(104, 436)(105, 543)(106, 437)(107, 490)(108, 538)(109, 526)(110, 439)(111, 494)(112, 525)(113, 532)(114, 549)(115, 443)(116, 499)(117, 456)(118, 529)(119, 515)(120, 521)(121, 447)(122, 505)(123, 448)(124, 507)(125, 450)(126, 509)(127, 530)(128, 452)(129, 501)(130, 558)(131, 459)(132, 552)(133, 537)(134, 523)(135, 462)(136, 550)(137, 463)(138, 540)(139, 561)(140, 551)(141, 547)(142, 545)(143, 535)(144, 554)(145, 471)(146, 555)(147, 539)(148, 479)(149, 480)(150, 533)(151, 481)(152, 546)(153, 483)(154, 484)(155, 568)(156, 486)(157, 571)(158, 489)(159, 542)(160, 557)(161, 493)(162, 573)(163, 496)(164, 498)(165, 548)(166, 563)(167, 565)(168, 560)(169, 514)(170, 566)(171, 511)(172, 541)(173, 574)(174, 553)(175, 562)(176, 516)(177, 518)(178, 569)(179, 520)(180, 570)(181, 524)(182, 528)(183, 564)(184, 531)(185, 559)(186, 567)(187, 556)(188, 575)(189, 536)(190, 544)(191, 576)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2157
Graph:: bipartite
	v = 112 e = 384 f = 240
	degree seq :: [ 6^64, 8^48 ]

E17.2157 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 4, 4})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 1493>)
Aut   = $<384, 20097>$ (small group id <384, 20097>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^3, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, (Y3 * Y1^-1)^4, (Y1^2 * Y3^-1 * Y1 * Y3)^2, Y3 * Y1 * Y3^-1 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-2, (Y3 * Y1^-2 * Y3^-1 * Y1^-1)^2, Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 10, 202)(5, 197, 13, 205, 30, 222, 14, 206)(7, 199, 17, 209, 39, 231, 18, 210)(8, 200, 19, 211, 44, 236, 20, 212)(11, 203, 26, 218, 58, 250, 27, 219)(12, 204, 28, 220, 63, 255, 29, 221)(15, 207, 35, 227, 75, 267, 36, 228)(16, 208, 37, 229, 80, 272, 38, 230)(22, 214, 51, 243, 104, 296, 52, 244)(23, 215, 53, 245, 79, 271, 54, 246)(24, 216, 55, 247, 97, 289, 46, 238)(25, 217, 56, 248, 77, 269, 57, 249)(31, 223, 69, 261, 83, 275, 70, 262)(32, 224, 61, 253, 117, 309, 71, 263)(33, 225, 72, 264, 81, 273, 73, 265)(34, 226, 74, 266, 87, 279, 40, 232)(41, 233, 88, 280, 62, 254, 89, 281)(42, 234, 90, 282, 137, 329, 82, 274)(43, 235, 91, 283, 60, 252, 92, 284)(45, 237, 95, 287, 66, 258, 96, 288)(47, 239, 98, 290, 64, 256, 99, 291)(48, 240, 100, 292, 133, 325, 76, 268)(49, 241, 101, 293, 157, 349, 102, 294)(50, 242, 103, 295, 132, 324, 86, 278)(59, 251, 84, 276, 138, 330, 116, 308)(65, 257, 78, 270, 134, 326, 120, 312)(67, 259, 118, 310, 135, 327, 93, 285)(68, 260, 121, 313, 171, 363, 122, 314)(85, 277, 139, 331, 164, 356, 110, 302)(94, 286, 149, 341, 174, 366, 130, 322)(105, 297, 160, 352, 166, 358, 115, 307)(106, 298, 147, 339, 111, 303, 161, 353)(107, 299, 162, 354, 114, 306, 163, 355)(108, 300, 154, 346, 112, 304, 151, 343)(109, 301, 145, 337, 179, 371, 140, 332)(113, 305, 158, 350, 186, 378, 165, 357)(119, 311, 126, 318, 173, 365, 168, 360)(123, 315, 155, 347, 183, 375, 152, 344)(124, 316, 146, 338, 128, 320, 142, 334)(125, 317, 153, 345, 129, 321, 172, 364)(127, 319, 159, 351, 187, 379, 169, 361)(131, 323, 167, 359, 182, 374, 144, 336)(136, 328, 170, 362, 184, 376, 156, 348)(141, 333, 180, 372, 148, 340, 181, 373)(143, 335, 176, 368, 190, 382, 175, 367)(150, 342, 178, 370, 189, 381, 177, 369)(185, 377, 191, 383, 192, 384, 188, 380)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 389)(4, 395)(5, 385)(6, 399)(7, 392)(8, 386)(9, 406)(10, 408)(11, 396)(12, 388)(13, 415)(14, 417)(15, 400)(16, 390)(17, 424)(18, 426)(19, 429)(20, 431)(21, 433)(22, 407)(23, 393)(24, 409)(25, 394)(26, 443)(27, 445)(28, 448)(29, 450)(30, 451)(31, 416)(32, 397)(33, 418)(34, 398)(35, 460)(36, 462)(37, 465)(38, 467)(39, 469)(40, 425)(41, 401)(42, 427)(43, 402)(44, 477)(45, 430)(46, 403)(47, 432)(48, 404)(49, 434)(50, 405)(51, 413)(52, 489)(53, 491)(54, 492)(55, 494)(56, 496)(57, 498)(58, 499)(59, 444)(60, 410)(61, 446)(62, 411)(63, 502)(64, 449)(65, 412)(66, 435)(67, 452)(68, 414)(69, 441)(70, 507)(71, 509)(72, 511)(73, 437)(74, 513)(75, 515)(76, 461)(77, 419)(78, 463)(79, 420)(80, 519)(81, 466)(82, 421)(83, 468)(84, 422)(85, 470)(86, 423)(87, 485)(88, 525)(89, 526)(90, 528)(91, 530)(92, 532)(93, 478)(94, 428)(95, 476)(96, 534)(97, 536)(98, 537)(99, 472)(100, 539)(101, 524)(102, 542)(103, 442)(104, 543)(105, 490)(106, 436)(107, 457)(108, 493)(109, 438)(110, 495)(111, 439)(112, 497)(113, 440)(114, 453)(115, 487)(116, 551)(117, 486)(118, 503)(119, 447)(120, 553)(121, 481)(122, 488)(123, 508)(124, 454)(125, 510)(126, 455)(127, 512)(128, 456)(129, 514)(130, 458)(131, 516)(132, 459)(133, 523)(134, 550)(135, 520)(136, 464)(137, 561)(138, 562)(139, 559)(140, 471)(141, 483)(142, 527)(143, 473)(144, 529)(145, 474)(146, 531)(147, 475)(148, 479)(149, 521)(150, 535)(151, 480)(152, 505)(153, 538)(154, 482)(155, 540)(156, 484)(157, 569)(158, 501)(159, 506)(160, 572)(161, 573)(162, 545)(163, 574)(164, 575)(165, 500)(166, 560)(167, 549)(168, 522)(169, 554)(170, 504)(171, 541)(172, 547)(173, 544)(174, 548)(175, 517)(176, 518)(177, 533)(178, 552)(179, 571)(180, 563)(181, 570)(182, 576)(183, 565)(184, 566)(185, 555)(186, 567)(187, 564)(188, 557)(189, 546)(190, 556)(191, 558)(192, 568)(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, 8 ), ( 6, 8, 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2156
Graph:: simple bipartite
	v = 240 e = 384 f = 112
	degree seq :: [ 2^192, 8^48 ]

E17.2158 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-2 * T2 * T1^-1)^2, (T2 * T1^-1)^6, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 58, 98, 61, 32)(17, 33, 62, 80, 45, 34)(21, 40, 71, 112, 73, 41)(22, 42, 74, 115, 77, 43)(26, 50, 38, 70, 88, 51)(27, 52, 89, 117, 75, 53)(30, 56, 95, 140, 97, 57)(35, 65, 105, 130, 85, 49)(37, 68, 76, 118, 111, 69)(46, 81, 123, 114, 72, 82)(54, 92, 135, 167, 121, 79)(55, 93, 137, 159, 139, 94)(59, 86, 64, 91, 125, 99)(60, 100, 145, 182, 138, 101)(63, 87, 131, 177, 148, 104)(67, 108, 152, 184, 153, 109)(83, 126, 171, 187, 160, 116)(84, 127, 173, 156, 174, 128)(90, 122, 168, 191, 178, 134)(96, 142, 169, 150, 106, 132)(102, 147, 172, 133, 166, 141)(103, 129, 175, 155, 180, 136)(107, 151, 165, 120, 164, 146)(110, 154, 176, 192, 183, 144)(113, 119, 163, 190, 186, 157)(124, 161, 188, 185, 149, 170)(143, 179, 189, 162, 158, 181)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 67)(39, 56)(40, 72)(41, 58)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 86)(51, 87)(52, 90)(53, 91)(57, 96)(61, 102)(62, 103)(65, 106)(66, 107)(68, 99)(69, 110)(70, 101)(71, 113)(73, 108)(74, 116)(77, 119)(78, 120)(80, 122)(81, 124)(82, 125)(85, 129)(88, 132)(89, 133)(92, 136)(93, 138)(94, 131)(95, 141)(97, 143)(98, 144)(100, 146)(104, 127)(105, 149)(109, 147)(111, 155)(112, 156)(114, 158)(115, 159)(117, 161)(118, 162)(121, 166)(123, 169)(126, 172)(128, 168)(130, 176)(134, 164)(135, 179)(137, 181)(139, 170)(140, 178)(142, 163)(145, 167)(148, 184)(150, 160)(151, 183)(152, 175)(153, 185)(154, 173)(157, 180)(165, 188)(171, 192)(174, 189)(177, 187)(182, 190)(186, 191)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2159
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.2159 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^2 * T2 * T1^-3 * T2 * T1, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1^-1)^4, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 22, 18, 8)(6, 13, 25, 21, 28, 14)(9, 19, 24, 12, 23, 20)(16, 30, 47, 34, 50, 31)(17, 32, 46, 29, 45, 33)(26, 40, 63, 44, 66, 41)(27, 42, 62, 39, 61, 43)(35, 53, 58, 37, 57, 54)(36, 55, 60, 38, 59, 56)(48, 72, 101, 76, 86, 73)(49, 74, 100, 71, 99, 75)(51, 77, 98, 69, 97, 78)(52, 79, 93, 70, 90, 64)(65, 91, 120, 89, 119, 92)(67, 94, 118, 87, 117, 95)(68, 96, 80, 88, 112, 83)(81, 108, 114, 84, 113, 109)(82, 110, 116, 85, 115, 111)(102, 132, 162, 131, 161, 133)(103, 134, 149, 129, 156, 125)(104, 135, 105, 130, 159, 127)(106, 136, 160, 128, 144, 137)(107, 138, 153, 121, 152, 139)(122, 154, 142, 150, 174, 147)(123, 155, 124, 151, 175, 148)(126, 157, 172, 143, 171, 158)(140, 170, 141, 145, 173, 146)(163, 178, 169, 185, 191, 177)(164, 181, 165, 186, 188, 180)(166, 179, 190, 183, 192, 187)(167, 182, 168, 184, 189, 176)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 29)(18, 34)(19, 35)(20, 36)(23, 37)(24, 38)(25, 39)(28, 44)(30, 48)(31, 49)(32, 51)(33, 52)(40, 64)(41, 65)(42, 67)(43, 68)(45, 69)(46, 70)(47, 71)(50, 76)(53, 80)(54, 81)(55, 82)(56, 72)(57, 83)(58, 84)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(66, 93)(73, 102)(74, 103)(75, 104)(77, 105)(78, 106)(79, 107)(90, 121)(91, 122)(92, 123)(94, 124)(95, 125)(96, 126)(97, 127)(98, 128)(99, 129)(100, 130)(101, 131)(108, 136)(109, 140)(110, 141)(111, 142)(112, 143)(113, 144)(114, 145)(115, 146)(116, 147)(117, 148)(118, 149)(119, 150)(120, 151)(132, 163)(133, 164)(134, 165)(135, 166)(137, 167)(138, 168)(139, 169)(152, 176)(153, 177)(154, 178)(155, 179)(156, 180)(157, 181)(158, 182)(159, 183)(160, 184)(161, 185)(162, 186)(170, 187)(171, 188)(172, 189)(173, 190)(174, 191)(175, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2158
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.2160 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^4 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 21, 32, 16)(9, 19, 34, 17, 33, 20)(11, 22, 38, 28, 40, 23)(13, 26, 42, 24, 41, 27)(29, 45, 69, 50, 71, 46)(31, 48, 73, 47, 72, 49)(35, 53, 77, 51, 76, 54)(36, 55, 79, 52, 78, 56)(37, 57, 83, 62, 85, 58)(39, 60, 87, 59, 86, 61)(43, 65, 91, 63, 90, 66)(44, 67, 93, 64, 92, 68)(70, 98, 128, 97, 127, 99)(74, 102, 132, 100, 131, 103)(75, 104, 80, 101, 133, 105)(81, 108, 137, 106, 136, 109)(82, 110, 139, 107, 138, 111)(84, 113, 144, 112, 143, 114)(88, 117, 148, 115, 147, 118)(89, 119, 94, 116, 149, 120)(95, 123, 153, 121, 152, 124)(96, 125, 155, 122, 154, 126)(129, 161, 142, 159, 183, 162)(130, 163, 134, 160, 184, 164)(135, 166, 186, 165, 185, 167)(140, 170, 141, 168, 187, 169)(145, 173, 158, 171, 188, 174)(146, 175, 150, 172, 189, 176)(151, 178, 191, 177, 190, 179)(156, 182, 157, 180, 192, 181)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 217)(211, 227)(212, 228)(214, 229)(215, 231)(218, 235)(219, 236)(222, 239)(224, 242)(225, 243)(226, 244)(230, 251)(232, 254)(233, 255)(234, 256)(237, 260)(238, 262)(240, 266)(241, 267)(245, 272)(246, 273)(247, 274)(248, 249)(250, 276)(252, 280)(253, 281)(257, 286)(258, 287)(259, 288)(261, 289)(263, 285)(264, 292)(265, 293)(268, 297)(269, 298)(270, 299)(271, 277)(275, 304)(278, 307)(279, 308)(282, 312)(283, 313)(284, 314)(290, 321)(291, 322)(294, 326)(295, 310)(296, 327)(300, 315)(301, 332)(302, 333)(303, 334)(305, 337)(306, 338)(309, 342)(311, 343)(316, 348)(317, 349)(318, 350)(319, 351)(320, 352)(323, 356)(324, 340)(325, 357)(328, 344)(329, 360)(330, 361)(331, 354)(335, 363)(336, 364)(339, 368)(341, 369)(345, 372)(346, 373)(347, 366)(353, 365)(355, 370)(358, 367)(359, 374)(362, 371)(375, 380)(376, 382)(377, 381)(378, 384)(379, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2164
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.2161 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1 * T1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^6, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^3 * T1 * T2^-2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 57, 32, 16)(9, 19, 37, 69, 39, 20)(11, 22, 43, 76, 45, 23)(13, 26, 50, 88, 52, 27)(17, 33, 61, 100, 63, 34)(21, 40, 72, 114, 73, 41)(24, 46, 80, 122, 82, 47)(28, 53, 91, 136, 92, 54)(29, 55, 38, 70, 93, 56)(31, 58, 96, 140, 97, 59)(35, 64, 104, 148, 106, 65)(36, 66, 105, 149, 108, 67)(42, 74, 51, 89, 115, 75)(44, 77, 118, 162, 119, 78)(48, 83, 126, 170, 128, 84)(49, 85, 127, 171, 130, 86)(60, 98, 141, 161, 142, 99)(62, 101, 145, 112, 71, 102)(68, 109, 153, 174, 154, 110)(79, 120, 163, 139, 164, 121)(81, 123, 167, 134, 90, 124)(87, 131, 175, 152, 176, 132)(94, 129, 173, 158, 181, 137)(95, 133, 177, 189, 165, 138)(103, 146, 184, 191, 178, 147)(107, 151, 180, 187, 159, 116)(111, 155, 183, 143, 160, 117)(113, 150, 166, 188, 186, 157)(125, 168, 190, 185, 156, 169)(135, 172, 144, 182, 192, 179)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 227)(211, 228)(212, 230)(214, 234)(215, 236)(217, 240)(218, 241)(219, 243)(222, 246)(224, 252)(225, 244)(226, 254)(229, 260)(231, 238)(232, 263)(233, 235)(237, 271)(239, 273)(242, 279)(245, 282)(247, 266)(248, 277)(249, 286)(250, 287)(251, 281)(253, 291)(255, 295)(256, 289)(257, 297)(258, 267)(259, 299)(261, 303)(262, 270)(264, 305)(265, 301)(268, 308)(269, 309)(272, 313)(274, 317)(275, 311)(276, 319)(278, 321)(280, 325)(283, 327)(284, 323)(285, 316)(288, 331)(290, 324)(292, 335)(293, 336)(294, 307)(296, 339)(298, 342)(300, 344)(302, 312)(304, 348)(306, 350)(310, 353)(314, 357)(315, 358)(318, 361)(320, 364)(322, 366)(326, 370)(328, 372)(329, 369)(330, 352)(332, 374)(333, 360)(334, 356)(337, 359)(338, 355)(340, 362)(341, 377)(343, 365)(345, 367)(346, 371)(347, 351)(349, 368)(354, 380)(363, 383)(373, 382)(375, 384)(376, 379)(378, 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) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2163
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.2162 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1 * T2)^2, (T2^2 * T1^-1)^2, T2^6, T1^6, T1^-1 * T2^-1 * T1^3 * T2^-1 * T1^-1 * T2 * T1^-1 * T2, (T2 * T1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 26, 15, 5)(2, 7, 19, 42, 22, 8)(4, 12, 30, 51, 24, 9)(6, 17, 37, 69, 40, 18)(11, 27, 14, 34, 53, 25)(13, 32, 50, 87, 58, 29)(16, 35, 64, 103, 67, 36)(20, 43, 21, 46, 75, 41)(23, 48, 83, 59, 31, 49)(28, 56, 90, 63, 92, 54)(33, 55, 89, 52, 88, 62)(38, 70, 39, 73, 109, 68)(44, 78, 117, 80, 119, 76)(45, 77, 116, 74, 115, 79)(47, 81, 123, 98, 126, 82)(57, 96, 131, 86, 61, 97)(60, 99, 127, 84, 128, 85)(65, 104, 66, 107, 145, 102)(71, 112, 153, 114, 155, 110)(72, 111, 152, 108, 151, 113)(91, 136, 156, 134, 94, 137)(93, 138, 101, 132, 172, 133)(95, 139, 169, 129, 170, 140)(100, 143, 171, 141, 174, 142)(105, 148, 180, 150, 182, 146)(106, 147, 179, 144, 178, 149)(118, 162, 183, 160, 121, 163)(120, 164, 122, 158, 130, 159)(124, 166, 125, 168, 181, 165)(135, 175, 191, 173, 185, 176)(154, 186, 177, 184, 157, 187)(161, 189, 167, 188, 192, 190)(193, 194, 198, 208, 205, 196)(195, 201, 215, 239, 220, 203)(197, 206, 225, 236, 212, 199)(200, 213, 237, 263, 230, 209)(202, 217, 244, 272, 238, 214)(204, 221, 249, 287, 252, 223)(207, 222, 251, 290, 255, 226)(210, 231, 264, 297, 257, 227)(211, 233, 266, 306, 265, 232)(216, 242, 278, 321, 276, 240)(218, 234, 261, 295, 279, 243)(219, 246, 283, 327, 285, 247)(224, 228, 258, 298, 292, 253)(229, 260, 300, 342, 299, 259)(235, 268, 310, 353, 312, 269)(241, 277, 322, 359, 316, 273)(245, 282, 326, 365, 324, 280)(248, 274, 317, 340, 305, 286)(250, 256, 294, 336, 333, 288)(254, 293, 335, 341, 313, 270)(262, 302, 346, 377, 348, 303)(267, 309, 352, 380, 350, 307)(271, 314, 291, 332, 349, 304)(275, 319, 356, 382, 360, 318)(281, 325, 366, 371, 354, 311)(284, 315, 357, 374, 344, 328)(289, 334, 364, 383, 369, 331)(296, 338, 373, 384, 375, 339)(301, 345, 376, 367, 329, 343)(308, 351, 320, 361, 378, 347)(323, 363, 330, 368, 379, 362)(337, 372, 358, 381, 355, 370)
	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) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2165
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.2163 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1 * T2^-2)^2, (T2^-1 * T1)^6, (T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^2, (T1 * T2 * T1 * T2^-1)^4 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 21, 213, 32, 224, 16, 208)(9, 201, 19, 211, 34, 226, 17, 209, 33, 225, 20, 212)(11, 203, 22, 214, 38, 230, 28, 220, 40, 232, 23, 215)(13, 205, 26, 218, 42, 234, 24, 216, 41, 233, 27, 219)(29, 221, 45, 237, 69, 261, 50, 242, 71, 263, 46, 238)(31, 223, 48, 240, 73, 265, 47, 239, 72, 264, 49, 241)(35, 227, 53, 245, 77, 269, 51, 243, 76, 268, 54, 246)(36, 228, 55, 247, 79, 271, 52, 244, 78, 270, 56, 248)(37, 229, 57, 249, 83, 275, 62, 254, 85, 277, 58, 250)(39, 231, 60, 252, 87, 279, 59, 251, 86, 278, 61, 253)(43, 235, 65, 257, 91, 283, 63, 255, 90, 282, 66, 258)(44, 236, 67, 259, 93, 285, 64, 256, 92, 284, 68, 260)(70, 262, 98, 290, 128, 320, 97, 289, 127, 319, 99, 291)(74, 266, 102, 294, 132, 324, 100, 292, 131, 323, 103, 295)(75, 267, 104, 296, 80, 272, 101, 293, 133, 325, 105, 297)(81, 273, 108, 300, 137, 329, 106, 298, 136, 328, 109, 301)(82, 274, 110, 302, 139, 331, 107, 299, 138, 330, 111, 303)(84, 276, 113, 305, 144, 336, 112, 304, 143, 335, 114, 306)(88, 280, 117, 309, 148, 340, 115, 307, 147, 339, 118, 310)(89, 281, 119, 311, 94, 286, 116, 308, 149, 341, 120, 312)(95, 287, 123, 315, 153, 345, 121, 313, 152, 344, 124, 316)(96, 288, 125, 317, 155, 347, 122, 314, 154, 346, 126, 318)(129, 321, 161, 353, 142, 334, 159, 351, 183, 375, 162, 354)(130, 322, 163, 355, 134, 326, 160, 352, 184, 376, 164, 356)(135, 327, 166, 358, 186, 378, 165, 357, 185, 377, 167, 359)(140, 332, 170, 362, 141, 333, 168, 360, 187, 379, 169, 361)(145, 337, 173, 365, 158, 350, 171, 363, 188, 380, 174, 366)(146, 338, 175, 367, 150, 342, 172, 364, 189, 381, 176, 368)(151, 343, 178, 370, 191, 383, 177, 369, 190, 382, 179, 371)(156, 348, 182, 374, 157, 349, 180, 372, 192, 384, 181, 373)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 217)(19, 227)(20, 228)(21, 202)(22, 229)(23, 231)(24, 204)(25, 210)(26, 235)(27, 236)(28, 206)(29, 207)(30, 239)(31, 208)(32, 242)(33, 243)(34, 244)(35, 211)(36, 212)(37, 214)(38, 251)(39, 215)(40, 254)(41, 255)(42, 256)(43, 218)(44, 219)(45, 260)(46, 262)(47, 222)(48, 266)(49, 267)(50, 224)(51, 225)(52, 226)(53, 272)(54, 273)(55, 274)(56, 249)(57, 248)(58, 276)(59, 230)(60, 280)(61, 281)(62, 232)(63, 233)(64, 234)(65, 286)(66, 287)(67, 288)(68, 237)(69, 289)(70, 238)(71, 285)(72, 292)(73, 293)(74, 240)(75, 241)(76, 297)(77, 298)(78, 299)(79, 277)(80, 245)(81, 246)(82, 247)(83, 304)(84, 250)(85, 271)(86, 307)(87, 308)(88, 252)(89, 253)(90, 312)(91, 313)(92, 314)(93, 263)(94, 257)(95, 258)(96, 259)(97, 261)(98, 321)(99, 322)(100, 264)(101, 265)(102, 326)(103, 310)(104, 327)(105, 268)(106, 269)(107, 270)(108, 315)(109, 332)(110, 333)(111, 334)(112, 275)(113, 337)(114, 338)(115, 278)(116, 279)(117, 342)(118, 295)(119, 343)(120, 282)(121, 283)(122, 284)(123, 300)(124, 348)(125, 349)(126, 350)(127, 351)(128, 352)(129, 290)(130, 291)(131, 356)(132, 340)(133, 357)(134, 294)(135, 296)(136, 344)(137, 360)(138, 361)(139, 354)(140, 301)(141, 302)(142, 303)(143, 363)(144, 364)(145, 305)(146, 306)(147, 368)(148, 324)(149, 369)(150, 309)(151, 311)(152, 328)(153, 372)(154, 373)(155, 366)(156, 316)(157, 317)(158, 318)(159, 319)(160, 320)(161, 365)(162, 331)(163, 370)(164, 323)(165, 325)(166, 367)(167, 374)(168, 329)(169, 330)(170, 371)(171, 335)(172, 336)(173, 353)(174, 347)(175, 358)(176, 339)(177, 341)(178, 355)(179, 362)(180, 345)(181, 346)(182, 359)(183, 380)(184, 382)(185, 381)(186, 384)(187, 383)(188, 375)(189, 377)(190, 376)(191, 379)(192, 378)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2161
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.2164 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-2 * T1 * T2^-1 * T1)^2, T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1, (T2^-1 * T1)^6, T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^3 * T1 * T2^-1, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2^3 * T1 * T2^-2 * T1 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 57, 249, 32, 224, 16, 208)(9, 201, 19, 211, 37, 229, 69, 261, 39, 231, 20, 212)(11, 203, 22, 214, 43, 235, 76, 268, 45, 237, 23, 215)(13, 205, 26, 218, 50, 242, 88, 280, 52, 244, 27, 219)(17, 209, 33, 225, 61, 253, 100, 292, 63, 255, 34, 226)(21, 213, 40, 232, 72, 264, 114, 306, 73, 265, 41, 233)(24, 216, 46, 238, 80, 272, 122, 314, 82, 274, 47, 239)(28, 220, 53, 245, 91, 283, 136, 328, 92, 284, 54, 246)(29, 221, 55, 247, 38, 230, 70, 262, 93, 285, 56, 248)(31, 223, 58, 250, 96, 288, 140, 332, 97, 289, 59, 251)(35, 227, 64, 256, 104, 296, 148, 340, 106, 298, 65, 257)(36, 228, 66, 258, 105, 297, 149, 341, 108, 300, 67, 259)(42, 234, 74, 266, 51, 243, 89, 281, 115, 307, 75, 267)(44, 236, 77, 269, 118, 310, 162, 354, 119, 311, 78, 270)(48, 240, 83, 275, 126, 318, 170, 362, 128, 320, 84, 276)(49, 241, 85, 277, 127, 319, 171, 363, 130, 322, 86, 278)(60, 252, 98, 290, 141, 333, 161, 353, 142, 334, 99, 291)(62, 254, 101, 293, 145, 337, 112, 304, 71, 263, 102, 294)(68, 260, 109, 301, 153, 345, 174, 366, 154, 346, 110, 302)(79, 271, 120, 312, 163, 355, 139, 331, 164, 356, 121, 313)(81, 273, 123, 315, 167, 359, 134, 326, 90, 282, 124, 316)(87, 279, 131, 323, 175, 367, 152, 344, 176, 368, 132, 324)(94, 286, 129, 321, 173, 365, 158, 350, 181, 373, 137, 329)(95, 287, 133, 325, 177, 369, 189, 381, 165, 357, 138, 330)(103, 295, 146, 338, 184, 376, 191, 383, 178, 370, 147, 339)(107, 299, 151, 343, 180, 372, 187, 379, 159, 351, 116, 308)(111, 303, 155, 347, 183, 375, 143, 335, 160, 352, 117, 309)(113, 305, 150, 342, 166, 358, 188, 380, 186, 378, 157, 349)(125, 317, 168, 360, 190, 382, 185, 377, 156, 348, 169, 361)(135, 327, 172, 364, 144, 336, 182, 374, 192, 384, 179, 371)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 240)(26, 241)(27, 243)(28, 206)(29, 207)(30, 246)(31, 208)(32, 252)(33, 244)(34, 254)(35, 210)(36, 211)(37, 260)(38, 212)(39, 238)(40, 263)(41, 235)(42, 214)(43, 233)(44, 215)(45, 271)(46, 231)(47, 273)(48, 217)(49, 218)(50, 279)(51, 219)(52, 225)(53, 282)(54, 222)(55, 266)(56, 277)(57, 286)(58, 287)(59, 281)(60, 224)(61, 291)(62, 226)(63, 295)(64, 289)(65, 297)(66, 267)(67, 299)(68, 229)(69, 303)(70, 270)(71, 232)(72, 305)(73, 301)(74, 247)(75, 258)(76, 308)(77, 309)(78, 262)(79, 237)(80, 313)(81, 239)(82, 317)(83, 311)(84, 319)(85, 248)(86, 321)(87, 242)(88, 325)(89, 251)(90, 245)(91, 327)(92, 323)(93, 316)(94, 249)(95, 250)(96, 331)(97, 256)(98, 324)(99, 253)(100, 335)(101, 336)(102, 307)(103, 255)(104, 339)(105, 257)(106, 342)(107, 259)(108, 344)(109, 265)(110, 312)(111, 261)(112, 348)(113, 264)(114, 350)(115, 294)(116, 268)(117, 269)(118, 353)(119, 275)(120, 302)(121, 272)(122, 357)(123, 358)(124, 285)(125, 274)(126, 361)(127, 276)(128, 364)(129, 278)(130, 366)(131, 284)(132, 290)(133, 280)(134, 370)(135, 283)(136, 372)(137, 369)(138, 352)(139, 288)(140, 374)(141, 360)(142, 356)(143, 292)(144, 293)(145, 359)(146, 355)(147, 296)(148, 362)(149, 377)(150, 298)(151, 365)(152, 300)(153, 367)(154, 371)(155, 351)(156, 304)(157, 368)(158, 306)(159, 347)(160, 330)(161, 310)(162, 380)(163, 338)(164, 334)(165, 314)(166, 315)(167, 337)(168, 333)(169, 318)(170, 340)(171, 383)(172, 320)(173, 343)(174, 322)(175, 345)(176, 349)(177, 329)(178, 326)(179, 346)(180, 328)(181, 382)(182, 332)(183, 384)(184, 379)(185, 341)(186, 381)(187, 376)(188, 354)(189, 378)(190, 373)(191, 363)(192, 375)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2160
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.2165 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-2 * T2 * T1^-1)^2, (T2 * T1^-1)^6, (T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2, T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 22, 214)(13, 205, 26, 218)(14, 206, 27, 219)(15, 207, 30, 222)(18, 210, 35, 227)(19, 211, 37, 229)(20, 212, 38, 230)(23, 215, 45, 237)(24, 216, 46, 238)(25, 217, 49, 241)(28, 220, 54, 246)(29, 221, 55, 247)(31, 223, 59, 251)(32, 224, 60, 252)(33, 225, 63, 255)(34, 226, 64, 256)(36, 228, 67, 259)(39, 231, 56, 248)(40, 232, 72, 264)(41, 233, 58, 250)(42, 234, 75, 267)(43, 235, 76, 268)(44, 236, 79, 271)(47, 239, 83, 275)(48, 240, 84, 276)(50, 242, 86, 278)(51, 243, 87, 279)(52, 244, 90, 282)(53, 245, 91, 283)(57, 249, 96, 288)(61, 253, 102, 294)(62, 254, 103, 295)(65, 257, 106, 298)(66, 258, 107, 299)(68, 260, 99, 291)(69, 261, 110, 302)(70, 262, 101, 293)(71, 263, 113, 305)(73, 265, 108, 300)(74, 266, 116, 308)(77, 269, 119, 311)(78, 270, 120, 312)(80, 272, 122, 314)(81, 273, 124, 316)(82, 274, 125, 317)(85, 277, 129, 321)(88, 280, 132, 324)(89, 281, 133, 325)(92, 284, 136, 328)(93, 285, 138, 330)(94, 286, 131, 323)(95, 287, 141, 333)(97, 289, 143, 335)(98, 290, 144, 336)(100, 292, 146, 338)(104, 296, 127, 319)(105, 297, 149, 341)(109, 301, 147, 339)(111, 303, 155, 347)(112, 304, 156, 348)(114, 306, 158, 350)(115, 307, 159, 351)(117, 309, 161, 353)(118, 310, 162, 354)(121, 313, 166, 358)(123, 315, 169, 361)(126, 318, 172, 364)(128, 320, 168, 360)(130, 322, 176, 368)(134, 326, 164, 356)(135, 327, 179, 371)(137, 329, 181, 373)(139, 331, 170, 362)(140, 332, 178, 370)(142, 334, 163, 355)(145, 337, 167, 359)(148, 340, 184, 376)(150, 342, 160, 352)(151, 343, 183, 375)(152, 344, 175, 367)(153, 345, 185, 377)(154, 346, 173, 365)(157, 349, 180, 372)(165, 357, 188, 380)(171, 363, 192, 384)(174, 366, 189, 381)(177, 369, 187, 379)(182, 374, 190, 382)(186, 378, 191, 383)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 202)(12, 215)(13, 217)(14, 198)(15, 221)(16, 223)(17, 225)(18, 200)(19, 228)(20, 201)(21, 232)(22, 234)(23, 236)(24, 204)(25, 240)(26, 242)(27, 244)(28, 206)(29, 210)(30, 248)(31, 250)(32, 208)(33, 254)(34, 209)(35, 257)(36, 258)(37, 260)(38, 262)(39, 212)(40, 263)(41, 213)(42, 266)(43, 214)(44, 270)(45, 226)(46, 273)(47, 216)(48, 220)(49, 227)(50, 230)(51, 218)(52, 281)(53, 219)(54, 284)(55, 285)(56, 287)(57, 222)(58, 290)(59, 278)(60, 292)(61, 224)(62, 272)(63, 279)(64, 283)(65, 297)(66, 231)(67, 300)(68, 268)(69, 229)(70, 280)(71, 304)(72, 274)(73, 233)(74, 307)(75, 245)(76, 310)(77, 235)(78, 239)(79, 246)(80, 237)(81, 315)(82, 238)(83, 318)(84, 319)(85, 241)(86, 256)(87, 323)(88, 243)(89, 309)(90, 314)(91, 317)(92, 327)(93, 329)(94, 247)(95, 332)(96, 334)(97, 249)(98, 253)(99, 251)(100, 337)(101, 252)(102, 339)(103, 321)(104, 255)(105, 322)(106, 324)(107, 343)(108, 344)(109, 259)(110, 346)(111, 261)(112, 265)(113, 311)(114, 264)(115, 269)(116, 275)(117, 267)(118, 303)(119, 355)(120, 356)(121, 271)(122, 360)(123, 306)(124, 353)(125, 291)(126, 363)(127, 365)(128, 276)(129, 367)(130, 277)(131, 369)(132, 288)(133, 358)(134, 282)(135, 359)(136, 295)(137, 351)(138, 293)(139, 286)(140, 289)(141, 294)(142, 361)(143, 371)(144, 302)(145, 374)(146, 299)(147, 364)(148, 296)(149, 362)(150, 298)(151, 357)(152, 376)(153, 301)(154, 368)(155, 372)(156, 366)(157, 305)(158, 373)(159, 331)(160, 308)(161, 380)(162, 350)(163, 382)(164, 338)(165, 312)(166, 333)(167, 313)(168, 383)(169, 342)(170, 316)(171, 379)(172, 325)(173, 348)(174, 320)(175, 347)(176, 384)(177, 340)(178, 326)(179, 381)(180, 328)(181, 335)(182, 330)(183, 336)(184, 345)(185, 341)(186, 349)(187, 352)(188, 377)(189, 354)(190, 378)(191, 370)(192, 375)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2162
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2166 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1 * Y2^-2)^2, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 25, 217)(19, 211, 35, 227)(20, 212, 36, 228)(22, 214, 37, 229)(23, 215, 39, 231)(26, 218, 43, 235)(27, 219, 44, 236)(30, 222, 47, 239)(32, 224, 50, 242)(33, 225, 51, 243)(34, 226, 52, 244)(38, 230, 59, 251)(40, 232, 62, 254)(41, 233, 63, 255)(42, 234, 64, 256)(45, 237, 68, 260)(46, 238, 70, 262)(48, 240, 74, 266)(49, 241, 75, 267)(53, 245, 80, 272)(54, 246, 81, 273)(55, 247, 82, 274)(56, 248, 57, 249)(58, 250, 84, 276)(60, 252, 88, 280)(61, 253, 89, 281)(65, 257, 94, 286)(66, 258, 95, 287)(67, 259, 96, 288)(69, 261, 97, 289)(71, 263, 93, 285)(72, 264, 100, 292)(73, 265, 101, 293)(76, 268, 105, 297)(77, 269, 106, 298)(78, 270, 107, 299)(79, 271, 85, 277)(83, 275, 112, 304)(86, 278, 115, 307)(87, 279, 116, 308)(90, 282, 120, 312)(91, 283, 121, 313)(92, 284, 122, 314)(98, 290, 129, 321)(99, 291, 130, 322)(102, 294, 134, 326)(103, 295, 118, 310)(104, 296, 135, 327)(108, 300, 123, 315)(109, 301, 140, 332)(110, 302, 141, 333)(111, 303, 142, 334)(113, 305, 145, 337)(114, 306, 146, 338)(117, 309, 150, 342)(119, 311, 151, 343)(124, 316, 156, 348)(125, 317, 157, 349)(126, 318, 158, 350)(127, 319, 159, 351)(128, 320, 160, 352)(131, 323, 164, 356)(132, 324, 148, 340)(133, 325, 165, 357)(136, 328, 152, 344)(137, 329, 168, 360)(138, 330, 169, 361)(139, 331, 162, 354)(143, 335, 171, 363)(144, 336, 172, 364)(147, 339, 176, 368)(149, 341, 177, 369)(153, 345, 180, 372)(154, 346, 181, 373)(155, 347, 174, 366)(161, 353, 173, 365)(163, 355, 178, 370)(166, 358, 175, 367)(167, 359, 182, 374)(170, 362, 179, 371)(183, 375, 188, 380)(184, 376, 190, 382)(185, 377, 189, 381)(186, 378, 192, 384)(187, 379, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 405, 597, 416, 608, 400, 592)(393, 585, 403, 595, 418, 610, 401, 593, 417, 609, 404, 596)(395, 587, 406, 598, 422, 614, 412, 604, 424, 616, 407, 599)(397, 589, 410, 602, 426, 618, 408, 600, 425, 617, 411, 603)(413, 605, 429, 621, 453, 645, 434, 626, 455, 647, 430, 622)(415, 607, 432, 624, 457, 649, 431, 623, 456, 648, 433, 625)(419, 611, 437, 629, 461, 653, 435, 627, 460, 652, 438, 630)(420, 612, 439, 631, 463, 655, 436, 628, 462, 654, 440, 632)(421, 613, 441, 633, 467, 659, 446, 638, 469, 661, 442, 634)(423, 615, 444, 636, 471, 663, 443, 635, 470, 662, 445, 637)(427, 619, 449, 641, 475, 667, 447, 639, 474, 666, 450, 642)(428, 620, 451, 643, 477, 669, 448, 640, 476, 668, 452, 644)(454, 646, 482, 674, 512, 704, 481, 673, 511, 703, 483, 675)(458, 650, 486, 678, 516, 708, 484, 676, 515, 707, 487, 679)(459, 651, 488, 680, 464, 656, 485, 677, 517, 709, 489, 681)(465, 657, 492, 684, 521, 713, 490, 682, 520, 712, 493, 685)(466, 658, 494, 686, 523, 715, 491, 683, 522, 714, 495, 687)(468, 660, 497, 689, 528, 720, 496, 688, 527, 719, 498, 690)(472, 664, 501, 693, 532, 724, 499, 691, 531, 723, 502, 694)(473, 665, 503, 695, 478, 670, 500, 692, 533, 725, 504, 696)(479, 671, 507, 699, 537, 729, 505, 697, 536, 728, 508, 700)(480, 672, 509, 701, 539, 731, 506, 698, 538, 730, 510, 702)(513, 705, 545, 737, 526, 718, 543, 735, 567, 759, 546, 738)(514, 706, 547, 739, 518, 710, 544, 736, 568, 760, 548, 740)(519, 711, 550, 742, 570, 762, 549, 741, 569, 761, 551, 743)(524, 716, 554, 746, 525, 717, 552, 744, 571, 763, 553, 745)(529, 721, 557, 749, 542, 734, 555, 747, 572, 764, 558, 750)(530, 722, 559, 751, 534, 726, 556, 748, 573, 765, 560, 752)(535, 727, 562, 754, 575, 767, 561, 753, 574, 766, 563, 755)(540, 732, 566, 758, 541, 733, 564, 756, 576, 768, 565, 757)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 409)(19, 419)(20, 420)(21, 394)(22, 421)(23, 423)(24, 396)(25, 402)(26, 427)(27, 428)(28, 398)(29, 399)(30, 431)(31, 400)(32, 434)(33, 435)(34, 436)(35, 403)(36, 404)(37, 406)(38, 443)(39, 407)(40, 446)(41, 447)(42, 448)(43, 410)(44, 411)(45, 452)(46, 454)(47, 414)(48, 458)(49, 459)(50, 416)(51, 417)(52, 418)(53, 464)(54, 465)(55, 466)(56, 441)(57, 440)(58, 468)(59, 422)(60, 472)(61, 473)(62, 424)(63, 425)(64, 426)(65, 478)(66, 479)(67, 480)(68, 429)(69, 481)(70, 430)(71, 477)(72, 484)(73, 485)(74, 432)(75, 433)(76, 489)(77, 490)(78, 491)(79, 469)(80, 437)(81, 438)(82, 439)(83, 496)(84, 442)(85, 463)(86, 499)(87, 500)(88, 444)(89, 445)(90, 504)(91, 505)(92, 506)(93, 455)(94, 449)(95, 450)(96, 451)(97, 453)(98, 513)(99, 514)(100, 456)(101, 457)(102, 518)(103, 502)(104, 519)(105, 460)(106, 461)(107, 462)(108, 507)(109, 524)(110, 525)(111, 526)(112, 467)(113, 529)(114, 530)(115, 470)(116, 471)(117, 534)(118, 487)(119, 535)(120, 474)(121, 475)(122, 476)(123, 492)(124, 540)(125, 541)(126, 542)(127, 543)(128, 544)(129, 482)(130, 483)(131, 548)(132, 532)(133, 549)(134, 486)(135, 488)(136, 536)(137, 552)(138, 553)(139, 546)(140, 493)(141, 494)(142, 495)(143, 555)(144, 556)(145, 497)(146, 498)(147, 560)(148, 516)(149, 561)(150, 501)(151, 503)(152, 520)(153, 564)(154, 565)(155, 558)(156, 508)(157, 509)(158, 510)(159, 511)(160, 512)(161, 557)(162, 523)(163, 562)(164, 515)(165, 517)(166, 559)(167, 566)(168, 521)(169, 522)(170, 563)(171, 527)(172, 528)(173, 545)(174, 539)(175, 550)(176, 531)(177, 533)(178, 547)(179, 554)(180, 537)(181, 538)(182, 551)(183, 572)(184, 574)(185, 573)(186, 576)(187, 575)(188, 567)(189, 569)(190, 568)(191, 571)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2170
Graph:: bipartite
	v = 128 e = 384 f = 224
	degree seq :: [ 4^96, 12^32 ]

E17.2167 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (Y1 * R)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-2 * Y1 * Y2^-1 * Y1)^2, (Y1 * Y2 * Y1 * Y2^2)^2, Y1 * Y2^3 * R * Y1 * Y2^-3 * R, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1, (Y3 * Y2^-1)^6, Y2 * R * Y2^-3 * R * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1, (Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1)^2, Y2^2 * R * Y2^-3 * R * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 35, 227)(19, 211, 36, 228)(20, 212, 38, 230)(22, 214, 42, 234)(23, 215, 44, 236)(25, 217, 48, 240)(26, 218, 49, 241)(27, 219, 51, 243)(30, 222, 54, 246)(32, 224, 60, 252)(33, 225, 52, 244)(34, 226, 62, 254)(37, 229, 68, 260)(39, 231, 46, 238)(40, 232, 71, 263)(41, 233, 43, 235)(45, 237, 79, 271)(47, 239, 81, 273)(50, 242, 87, 279)(53, 245, 90, 282)(55, 247, 74, 266)(56, 248, 85, 277)(57, 249, 94, 286)(58, 250, 95, 287)(59, 251, 89, 281)(61, 253, 99, 291)(63, 255, 103, 295)(64, 256, 97, 289)(65, 257, 105, 297)(66, 258, 75, 267)(67, 259, 107, 299)(69, 261, 111, 303)(70, 262, 78, 270)(72, 264, 113, 305)(73, 265, 109, 301)(76, 268, 116, 308)(77, 269, 117, 309)(80, 272, 121, 313)(82, 274, 125, 317)(83, 275, 119, 311)(84, 276, 127, 319)(86, 278, 129, 321)(88, 280, 133, 325)(91, 283, 135, 327)(92, 284, 131, 323)(93, 285, 124, 316)(96, 288, 139, 331)(98, 290, 132, 324)(100, 292, 143, 335)(101, 293, 144, 336)(102, 294, 115, 307)(104, 296, 147, 339)(106, 298, 150, 342)(108, 300, 152, 344)(110, 302, 120, 312)(112, 304, 156, 348)(114, 306, 158, 350)(118, 310, 161, 353)(122, 314, 165, 357)(123, 315, 166, 358)(126, 318, 169, 361)(128, 320, 172, 364)(130, 322, 174, 366)(134, 326, 178, 370)(136, 328, 180, 372)(137, 329, 177, 369)(138, 330, 160, 352)(140, 332, 182, 374)(141, 333, 168, 360)(142, 334, 164, 356)(145, 337, 167, 359)(146, 338, 163, 355)(148, 340, 170, 362)(149, 341, 185, 377)(151, 343, 173, 365)(153, 345, 175, 367)(154, 346, 179, 371)(155, 347, 159, 351)(157, 349, 176, 368)(162, 354, 188, 380)(171, 363, 191, 383)(181, 373, 190, 382)(183, 375, 192, 384)(184, 376, 187, 379)(186, 378, 189, 381)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 441, 633, 416, 608, 400, 592)(393, 585, 403, 595, 421, 613, 453, 645, 423, 615, 404, 596)(395, 587, 406, 598, 427, 619, 460, 652, 429, 621, 407, 599)(397, 589, 410, 602, 434, 626, 472, 664, 436, 628, 411, 603)(401, 593, 417, 609, 445, 637, 484, 676, 447, 639, 418, 610)(405, 597, 424, 616, 456, 648, 498, 690, 457, 649, 425, 617)(408, 600, 430, 622, 464, 656, 506, 698, 466, 658, 431, 623)(412, 604, 437, 629, 475, 667, 520, 712, 476, 668, 438, 630)(413, 605, 439, 631, 422, 614, 454, 646, 477, 669, 440, 632)(415, 607, 442, 634, 480, 672, 524, 716, 481, 673, 443, 635)(419, 611, 448, 640, 488, 680, 532, 724, 490, 682, 449, 641)(420, 612, 450, 642, 489, 681, 533, 725, 492, 684, 451, 643)(426, 618, 458, 650, 435, 627, 473, 665, 499, 691, 459, 651)(428, 620, 461, 653, 502, 694, 546, 738, 503, 695, 462, 654)(432, 624, 467, 659, 510, 702, 554, 746, 512, 704, 468, 660)(433, 625, 469, 661, 511, 703, 555, 747, 514, 706, 470, 662)(444, 636, 482, 674, 525, 717, 545, 737, 526, 718, 483, 675)(446, 638, 485, 677, 529, 721, 496, 688, 455, 647, 486, 678)(452, 644, 493, 685, 537, 729, 558, 750, 538, 730, 494, 686)(463, 655, 504, 696, 547, 739, 523, 715, 548, 740, 505, 697)(465, 657, 507, 699, 551, 743, 518, 710, 474, 666, 508, 700)(471, 663, 515, 707, 559, 751, 536, 728, 560, 752, 516, 708)(478, 670, 513, 705, 557, 749, 542, 734, 565, 757, 521, 713)(479, 671, 517, 709, 561, 753, 573, 765, 549, 741, 522, 714)(487, 679, 530, 722, 568, 760, 575, 767, 562, 754, 531, 723)(491, 683, 535, 727, 564, 756, 571, 763, 543, 735, 500, 692)(495, 687, 539, 731, 567, 759, 527, 719, 544, 736, 501, 693)(497, 689, 534, 726, 550, 742, 572, 764, 570, 762, 541, 733)(509, 701, 552, 744, 574, 766, 569, 761, 540, 732, 553, 745)(519, 711, 556, 748, 528, 720, 566, 758, 576, 768, 563, 755)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 419)(19, 420)(20, 422)(21, 394)(22, 426)(23, 428)(24, 396)(25, 432)(26, 433)(27, 435)(28, 398)(29, 399)(30, 438)(31, 400)(32, 444)(33, 436)(34, 446)(35, 402)(36, 403)(37, 452)(38, 404)(39, 430)(40, 455)(41, 427)(42, 406)(43, 425)(44, 407)(45, 463)(46, 423)(47, 465)(48, 409)(49, 410)(50, 471)(51, 411)(52, 417)(53, 474)(54, 414)(55, 458)(56, 469)(57, 478)(58, 479)(59, 473)(60, 416)(61, 483)(62, 418)(63, 487)(64, 481)(65, 489)(66, 459)(67, 491)(68, 421)(69, 495)(70, 462)(71, 424)(72, 497)(73, 493)(74, 439)(75, 450)(76, 500)(77, 501)(78, 454)(79, 429)(80, 505)(81, 431)(82, 509)(83, 503)(84, 511)(85, 440)(86, 513)(87, 434)(88, 517)(89, 443)(90, 437)(91, 519)(92, 515)(93, 508)(94, 441)(95, 442)(96, 523)(97, 448)(98, 516)(99, 445)(100, 527)(101, 528)(102, 499)(103, 447)(104, 531)(105, 449)(106, 534)(107, 451)(108, 536)(109, 457)(110, 504)(111, 453)(112, 540)(113, 456)(114, 542)(115, 486)(116, 460)(117, 461)(118, 545)(119, 467)(120, 494)(121, 464)(122, 549)(123, 550)(124, 477)(125, 466)(126, 553)(127, 468)(128, 556)(129, 470)(130, 558)(131, 476)(132, 482)(133, 472)(134, 562)(135, 475)(136, 564)(137, 561)(138, 544)(139, 480)(140, 566)(141, 552)(142, 548)(143, 484)(144, 485)(145, 551)(146, 547)(147, 488)(148, 554)(149, 569)(150, 490)(151, 557)(152, 492)(153, 559)(154, 563)(155, 543)(156, 496)(157, 560)(158, 498)(159, 539)(160, 522)(161, 502)(162, 572)(163, 530)(164, 526)(165, 506)(166, 507)(167, 529)(168, 525)(169, 510)(170, 532)(171, 575)(172, 512)(173, 535)(174, 514)(175, 537)(176, 541)(177, 521)(178, 518)(179, 538)(180, 520)(181, 574)(182, 524)(183, 576)(184, 571)(185, 533)(186, 573)(187, 568)(188, 546)(189, 570)(190, 565)(191, 555)(192, 567)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2171
Graph:: bipartite
	v = 128 e = 384 f = 224
	degree seq :: [ 4^96, 12^32 ]

E17.2168 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (Y2^2 * Y1^-1)^2, Y1^6, Y2^6, Y1^-1 * Y2^-1 * Y1^3 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2, (Y2 * Y1^-2)^4 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 47, 239, 28, 220, 11, 203)(5, 197, 14, 206, 33, 225, 44, 236, 20, 212, 7, 199)(8, 200, 21, 213, 45, 237, 71, 263, 38, 230, 17, 209)(10, 202, 25, 217, 52, 244, 80, 272, 46, 238, 22, 214)(12, 204, 29, 221, 57, 249, 95, 287, 60, 252, 31, 223)(15, 207, 30, 222, 59, 251, 98, 290, 63, 255, 34, 226)(18, 210, 39, 231, 72, 264, 105, 297, 65, 257, 35, 227)(19, 211, 41, 233, 74, 266, 114, 306, 73, 265, 40, 232)(24, 216, 50, 242, 86, 278, 129, 321, 84, 276, 48, 240)(26, 218, 42, 234, 69, 261, 103, 295, 87, 279, 51, 243)(27, 219, 54, 246, 91, 283, 135, 327, 93, 285, 55, 247)(32, 224, 36, 228, 66, 258, 106, 298, 100, 292, 61, 253)(37, 229, 68, 260, 108, 300, 150, 342, 107, 299, 67, 259)(43, 235, 76, 268, 118, 310, 161, 353, 120, 312, 77, 269)(49, 241, 85, 277, 130, 322, 167, 359, 124, 316, 81, 273)(53, 245, 90, 282, 134, 326, 173, 365, 132, 324, 88, 280)(56, 248, 82, 274, 125, 317, 148, 340, 113, 305, 94, 286)(58, 250, 64, 256, 102, 294, 144, 336, 141, 333, 96, 288)(62, 254, 101, 293, 143, 335, 149, 341, 121, 313, 78, 270)(70, 262, 110, 302, 154, 346, 185, 377, 156, 348, 111, 303)(75, 267, 117, 309, 160, 352, 188, 380, 158, 350, 115, 307)(79, 271, 122, 314, 99, 291, 140, 332, 157, 349, 112, 304)(83, 275, 127, 319, 164, 356, 190, 382, 168, 360, 126, 318)(89, 281, 133, 325, 174, 366, 179, 371, 162, 354, 119, 311)(92, 284, 123, 315, 165, 357, 182, 374, 152, 344, 136, 328)(97, 289, 142, 334, 172, 364, 191, 383, 177, 369, 139, 331)(104, 296, 146, 338, 181, 373, 192, 384, 183, 375, 147, 339)(109, 301, 153, 345, 184, 376, 175, 367, 137, 329, 151, 343)(116, 308, 159, 351, 128, 320, 169, 361, 186, 378, 155, 347)(131, 323, 171, 363, 138, 330, 176, 368, 187, 379, 170, 362)(145, 337, 180, 372, 166, 358, 189, 381, 163, 355, 178, 370)(385, 577, 387, 579, 394, 586, 410, 602, 399, 591, 389, 581)(386, 578, 391, 583, 403, 595, 426, 618, 406, 598, 392, 584)(388, 580, 396, 588, 414, 606, 435, 627, 408, 600, 393, 585)(390, 582, 401, 593, 421, 613, 453, 645, 424, 616, 402, 594)(395, 587, 411, 603, 398, 590, 418, 610, 437, 629, 409, 601)(397, 589, 416, 608, 434, 626, 471, 663, 442, 634, 413, 605)(400, 592, 419, 611, 448, 640, 487, 679, 451, 643, 420, 612)(404, 596, 427, 619, 405, 597, 430, 622, 459, 651, 425, 617)(407, 599, 432, 624, 467, 659, 443, 635, 415, 607, 433, 625)(412, 604, 440, 632, 474, 666, 447, 639, 476, 668, 438, 630)(417, 609, 439, 631, 473, 665, 436, 628, 472, 664, 446, 638)(422, 614, 454, 646, 423, 615, 457, 649, 493, 685, 452, 644)(428, 620, 462, 654, 501, 693, 464, 656, 503, 695, 460, 652)(429, 621, 461, 653, 500, 692, 458, 650, 499, 691, 463, 655)(431, 623, 465, 657, 507, 699, 482, 674, 510, 702, 466, 658)(441, 633, 480, 672, 515, 707, 470, 662, 445, 637, 481, 673)(444, 636, 483, 675, 511, 703, 468, 660, 512, 704, 469, 661)(449, 641, 488, 680, 450, 642, 491, 683, 529, 721, 486, 678)(455, 647, 496, 688, 537, 729, 498, 690, 539, 731, 494, 686)(456, 648, 495, 687, 536, 728, 492, 684, 535, 727, 497, 689)(475, 667, 520, 712, 540, 732, 518, 710, 478, 670, 521, 713)(477, 669, 522, 714, 485, 677, 516, 708, 556, 748, 517, 709)(479, 671, 523, 715, 553, 745, 513, 705, 554, 746, 524, 716)(484, 676, 527, 719, 555, 747, 525, 717, 558, 750, 526, 718)(489, 681, 532, 724, 564, 756, 534, 726, 566, 758, 530, 722)(490, 682, 531, 723, 563, 755, 528, 720, 562, 754, 533, 725)(502, 694, 546, 738, 567, 759, 544, 736, 505, 697, 547, 739)(504, 696, 548, 740, 506, 698, 542, 734, 514, 706, 543, 735)(508, 700, 550, 742, 509, 701, 552, 744, 565, 757, 549, 741)(519, 711, 559, 751, 575, 767, 557, 749, 569, 761, 560, 752)(538, 730, 570, 762, 561, 753, 568, 760, 541, 733, 571, 763)(545, 737, 573, 765, 551, 743, 572, 764, 576, 768, 574, 766)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 401)(7, 403)(8, 386)(9, 388)(10, 410)(11, 411)(12, 414)(13, 416)(14, 418)(15, 389)(16, 419)(17, 421)(18, 390)(19, 426)(20, 427)(21, 430)(22, 392)(23, 432)(24, 393)(25, 395)(26, 399)(27, 398)(28, 440)(29, 397)(30, 435)(31, 433)(32, 434)(33, 439)(34, 437)(35, 448)(36, 400)(37, 453)(38, 454)(39, 457)(40, 402)(41, 404)(42, 406)(43, 405)(44, 462)(45, 461)(46, 459)(47, 465)(48, 467)(49, 407)(50, 471)(51, 408)(52, 472)(53, 409)(54, 412)(55, 473)(56, 474)(57, 480)(58, 413)(59, 415)(60, 483)(61, 481)(62, 417)(63, 476)(64, 487)(65, 488)(66, 491)(67, 420)(68, 422)(69, 424)(70, 423)(71, 496)(72, 495)(73, 493)(74, 499)(75, 425)(76, 428)(77, 500)(78, 501)(79, 429)(80, 503)(81, 507)(82, 431)(83, 443)(84, 512)(85, 444)(86, 445)(87, 442)(88, 446)(89, 436)(90, 447)(91, 520)(92, 438)(93, 522)(94, 521)(95, 523)(96, 515)(97, 441)(98, 510)(99, 511)(100, 527)(101, 516)(102, 449)(103, 451)(104, 450)(105, 532)(106, 531)(107, 529)(108, 535)(109, 452)(110, 455)(111, 536)(112, 537)(113, 456)(114, 539)(115, 463)(116, 458)(117, 464)(118, 546)(119, 460)(120, 548)(121, 547)(122, 542)(123, 482)(124, 550)(125, 552)(126, 466)(127, 468)(128, 469)(129, 554)(130, 543)(131, 470)(132, 556)(133, 477)(134, 478)(135, 559)(136, 540)(137, 475)(138, 485)(139, 553)(140, 479)(141, 558)(142, 484)(143, 555)(144, 562)(145, 486)(146, 489)(147, 563)(148, 564)(149, 490)(150, 566)(151, 497)(152, 492)(153, 498)(154, 570)(155, 494)(156, 518)(157, 571)(158, 514)(159, 504)(160, 505)(161, 573)(162, 567)(163, 502)(164, 506)(165, 508)(166, 509)(167, 572)(168, 565)(169, 513)(170, 524)(171, 525)(172, 517)(173, 569)(174, 526)(175, 575)(176, 519)(177, 568)(178, 533)(179, 528)(180, 534)(181, 549)(182, 530)(183, 544)(184, 541)(185, 560)(186, 561)(187, 538)(188, 576)(189, 551)(190, 545)(191, 557)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2169
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 12^64 ]

E17.2169 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3^2 * Y2 * Y3 * Y2)^2, Y3 * Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2, Y3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3 * Y2, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2)^6, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3 * Y2 * Y3^-1 * Y2)^4 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 408, 600)(398, 590, 412, 604)(399, 591, 413, 605)(400, 592, 415, 607)(402, 594, 419, 611)(403, 595, 420, 612)(404, 596, 422, 614)(406, 598, 426, 618)(407, 599, 428, 620)(409, 601, 432, 624)(410, 602, 433, 625)(411, 603, 435, 627)(414, 606, 438, 630)(416, 608, 444, 636)(417, 609, 436, 628)(418, 610, 446, 638)(421, 613, 452, 644)(423, 615, 430, 622)(424, 616, 455, 647)(425, 617, 427, 619)(429, 621, 463, 655)(431, 623, 465, 657)(434, 626, 471, 663)(437, 629, 474, 666)(439, 631, 458, 650)(440, 632, 469, 661)(441, 633, 478, 670)(442, 634, 479, 671)(443, 635, 473, 665)(445, 637, 483, 675)(447, 639, 487, 679)(448, 640, 481, 673)(449, 641, 489, 681)(450, 642, 459, 651)(451, 643, 491, 683)(453, 645, 495, 687)(454, 646, 462, 654)(456, 648, 497, 689)(457, 649, 493, 685)(460, 652, 500, 692)(461, 653, 501, 693)(464, 656, 505, 697)(466, 658, 509, 701)(467, 659, 503, 695)(468, 660, 511, 703)(470, 662, 513, 705)(472, 664, 517, 709)(475, 667, 519, 711)(476, 668, 515, 707)(477, 669, 508, 700)(480, 672, 523, 715)(482, 674, 516, 708)(484, 676, 527, 719)(485, 677, 528, 720)(486, 678, 499, 691)(488, 680, 531, 723)(490, 682, 534, 726)(492, 684, 536, 728)(494, 686, 504, 696)(496, 688, 540, 732)(498, 690, 542, 734)(502, 694, 545, 737)(506, 698, 549, 741)(507, 699, 550, 742)(510, 702, 553, 745)(512, 704, 556, 748)(514, 706, 558, 750)(518, 710, 562, 754)(520, 712, 564, 756)(521, 713, 561, 753)(522, 714, 544, 736)(524, 716, 566, 758)(525, 717, 552, 744)(526, 718, 548, 740)(529, 721, 551, 743)(530, 722, 547, 739)(532, 724, 554, 746)(533, 725, 569, 761)(535, 727, 557, 749)(537, 729, 559, 751)(538, 730, 563, 755)(539, 731, 543, 735)(541, 733, 560, 752)(546, 738, 572, 764)(555, 747, 575, 767)(565, 757, 574, 766)(567, 759, 576, 768)(568, 760, 571, 763)(570, 762, 573, 765)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 406)(12, 409)(13, 410)(14, 390)(15, 414)(16, 391)(17, 417)(18, 394)(19, 421)(20, 393)(21, 424)(22, 427)(23, 395)(24, 430)(25, 398)(26, 434)(27, 397)(28, 437)(29, 439)(30, 441)(31, 442)(32, 400)(33, 445)(34, 401)(35, 448)(36, 450)(37, 453)(38, 454)(39, 404)(40, 456)(41, 405)(42, 458)(43, 460)(44, 461)(45, 407)(46, 464)(47, 408)(48, 467)(49, 469)(50, 472)(51, 473)(52, 411)(53, 475)(54, 412)(55, 422)(56, 413)(57, 416)(58, 480)(59, 415)(60, 482)(61, 484)(62, 485)(63, 418)(64, 488)(65, 419)(66, 489)(67, 420)(68, 493)(69, 423)(70, 477)(71, 486)(72, 498)(73, 425)(74, 435)(75, 426)(76, 429)(77, 502)(78, 428)(79, 504)(80, 506)(81, 507)(82, 431)(83, 510)(84, 432)(85, 511)(86, 433)(87, 515)(88, 436)(89, 499)(90, 508)(91, 520)(92, 438)(93, 440)(94, 513)(95, 517)(96, 524)(97, 443)(98, 525)(99, 444)(100, 447)(101, 529)(102, 446)(103, 530)(104, 532)(105, 533)(106, 449)(107, 535)(108, 451)(109, 537)(110, 452)(111, 539)(112, 455)(113, 534)(114, 457)(115, 459)(116, 491)(117, 495)(118, 546)(119, 462)(120, 547)(121, 463)(122, 466)(123, 551)(124, 465)(125, 552)(126, 554)(127, 555)(128, 468)(129, 557)(130, 470)(131, 559)(132, 471)(133, 561)(134, 474)(135, 556)(136, 476)(137, 478)(138, 479)(139, 548)(140, 481)(141, 545)(142, 483)(143, 544)(144, 566)(145, 496)(146, 568)(147, 487)(148, 490)(149, 492)(150, 550)(151, 564)(152, 560)(153, 558)(154, 494)(155, 567)(156, 553)(157, 497)(158, 565)(159, 500)(160, 501)(161, 526)(162, 503)(163, 523)(164, 505)(165, 522)(166, 572)(167, 518)(168, 574)(169, 509)(170, 512)(171, 514)(172, 528)(173, 542)(174, 538)(175, 536)(176, 516)(177, 573)(178, 531)(179, 519)(180, 571)(181, 521)(182, 576)(183, 527)(184, 575)(185, 540)(186, 541)(187, 543)(188, 570)(189, 549)(190, 569)(191, 562)(192, 563)(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) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2168
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2170 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-2 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^6, (Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1)^2, (Y3 * Y1^-3)^4, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 29, 221, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 48, 240, 28, 220, 14, 206)(9, 201, 19, 211, 36, 228, 66, 258, 39, 231, 20, 212)(12, 204, 23, 215, 44, 236, 78, 270, 47, 239, 24, 216)(16, 208, 31, 223, 58, 250, 98, 290, 61, 253, 32, 224)(17, 209, 33, 225, 62, 254, 80, 272, 45, 237, 34, 226)(21, 213, 40, 232, 71, 263, 112, 304, 73, 265, 41, 233)(22, 214, 42, 234, 74, 266, 115, 307, 77, 269, 43, 235)(26, 218, 50, 242, 38, 230, 70, 262, 88, 280, 51, 243)(27, 219, 52, 244, 89, 281, 117, 309, 75, 267, 53, 245)(30, 222, 56, 248, 95, 287, 140, 332, 97, 289, 57, 249)(35, 227, 65, 257, 105, 297, 130, 322, 85, 277, 49, 241)(37, 229, 68, 260, 76, 268, 118, 310, 111, 303, 69, 261)(46, 238, 81, 273, 123, 315, 114, 306, 72, 264, 82, 274)(54, 246, 92, 284, 135, 327, 167, 359, 121, 313, 79, 271)(55, 247, 93, 285, 137, 329, 159, 351, 139, 331, 94, 286)(59, 251, 86, 278, 64, 256, 91, 283, 125, 317, 99, 291)(60, 252, 100, 292, 145, 337, 182, 374, 138, 330, 101, 293)(63, 255, 87, 279, 131, 323, 177, 369, 148, 340, 104, 296)(67, 259, 108, 300, 152, 344, 184, 376, 153, 345, 109, 301)(83, 275, 126, 318, 171, 363, 187, 379, 160, 352, 116, 308)(84, 276, 127, 319, 173, 365, 156, 348, 174, 366, 128, 320)(90, 282, 122, 314, 168, 360, 191, 383, 178, 370, 134, 326)(96, 288, 142, 334, 169, 361, 150, 342, 106, 298, 132, 324)(102, 294, 147, 339, 172, 364, 133, 325, 166, 358, 141, 333)(103, 295, 129, 321, 175, 367, 155, 347, 180, 372, 136, 328)(107, 299, 151, 343, 165, 357, 120, 312, 164, 356, 146, 338)(110, 302, 154, 346, 176, 368, 192, 384, 183, 375, 144, 336)(113, 305, 119, 311, 163, 355, 190, 382, 186, 378, 157, 349)(124, 316, 161, 353, 188, 380, 185, 377, 149, 341, 170, 362)(143, 335, 179, 371, 189, 381, 162, 354, 158, 350, 181, 373)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 419)(19, 421)(20, 422)(21, 394)(22, 395)(23, 429)(24, 430)(25, 433)(26, 397)(27, 398)(28, 438)(29, 439)(30, 399)(31, 443)(32, 444)(33, 447)(34, 448)(35, 402)(36, 451)(37, 403)(38, 404)(39, 440)(40, 456)(41, 442)(42, 459)(43, 460)(44, 463)(45, 407)(46, 408)(47, 467)(48, 468)(49, 409)(50, 470)(51, 471)(52, 474)(53, 475)(54, 412)(55, 413)(56, 423)(57, 480)(58, 425)(59, 415)(60, 416)(61, 486)(62, 487)(63, 417)(64, 418)(65, 490)(66, 491)(67, 420)(68, 483)(69, 494)(70, 485)(71, 497)(72, 424)(73, 492)(74, 500)(75, 426)(76, 427)(77, 503)(78, 504)(79, 428)(80, 506)(81, 508)(82, 509)(83, 431)(84, 432)(85, 513)(86, 434)(87, 435)(88, 516)(89, 517)(90, 436)(91, 437)(92, 520)(93, 522)(94, 515)(95, 525)(96, 441)(97, 527)(98, 528)(99, 452)(100, 530)(101, 454)(102, 445)(103, 446)(104, 511)(105, 533)(106, 449)(107, 450)(108, 457)(109, 531)(110, 453)(111, 539)(112, 540)(113, 455)(114, 542)(115, 543)(116, 458)(117, 545)(118, 546)(119, 461)(120, 462)(121, 550)(122, 464)(123, 553)(124, 465)(125, 466)(126, 556)(127, 488)(128, 552)(129, 469)(130, 560)(131, 478)(132, 472)(133, 473)(134, 548)(135, 563)(136, 476)(137, 565)(138, 477)(139, 554)(140, 562)(141, 479)(142, 547)(143, 481)(144, 482)(145, 551)(146, 484)(147, 493)(148, 568)(149, 489)(150, 544)(151, 567)(152, 559)(153, 569)(154, 557)(155, 495)(156, 496)(157, 564)(158, 498)(159, 499)(160, 534)(161, 501)(162, 502)(163, 526)(164, 518)(165, 572)(166, 505)(167, 529)(168, 512)(169, 507)(170, 523)(171, 576)(172, 510)(173, 538)(174, 573)(175, 536)(176, 514)(177, 571)(178, 524)(179, 519)(180, 541)(181, 521)(182, 574)(183, 535)(184, 532)(185, 537)(186, 575)(187, 561)(188, 549)(189, 558)(190, 566)(191, 570)(192, 555)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2166
Graph:: simple bipartite
	v = 224 e = 384 f = 128
	degree seq :: [ 2^192, 12^32 ]

E17.2171 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C4 x C4) : C3) : C2) (small group id <192, 1002>)
Aut   = $<384, 17949>$ (small group id <384, 17949>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (R * Y2 * Y3^-1)^2, Y1^6, Y1^2 * Y3 * Y1^3 * Y3^-1 * Y1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^2 * Y1 * Y3 * Y1 * Y3, (Y3^-1 * Y1^-1)^6, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 22, 214, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 21, 213, 28, 220, 14, 206)(9, 201, 19, 211, 24, 216, 12, 204, 23, 215, 20, 212)(16, 208, 30, 222, 47, 239, 34, 226, 50, 242, 31, 223)(17, 209, 32, 224, 46, 238, 29, 221, 45, 237, 33, 225)(26, 218, 40, 232, 63, 255, 44, 236, 66, 258, 41, 233)(27, 219, 42, 234, 62, 254, 39, 231, 61, 253, 43, 235)(35, 227, 53, 245, 58, 250, 37, 229, 57, 249, 54, 246)(36, 228, 55, 247, 60, 252, 38, 230, 59, 251, 56, 248)(48, 240, 72, 264, 101, 293, 76, 268, 86, 278, 73, 265)(49, 241, 74, 266, 100, 292, 71, 263, 99, 291, 75, 267)(51, 243, 77, 269, 98, 290, 69, 261, 97, 289, 78, 270)(52, 244, 79, 271, 93, 285, 70, 262, 90, 282, 64, 256)(65, 257, 91, 283, 120, 312, 89, 281, 119, 311, 92, 284)(67, 259, 94, 286, 118, 310, 87, 279, 117, 309, 95, 287)(68, 260, 96, 288, 80, 272, 88, 280, 112, 304, 83, 275)(81, 273, 108, 300, 114, 306, 84, 276, 113, 305, 109, 301)(82, 274, 110, 302, 116, 308, 85, 277, 115, 307, 111, 303)(102, 294, 132, 324, 162, 354, 131, 323, 161, 353, 133, 325)(103, 295, 134, 326, 149, 341, 129, 321, 156, 348, 125, 317)(104, 296, 135, 327, 105, 297, 130, 322, 159, 351, 127, 319)(106, 298, 136, 328, 160, 352, 128, 320, 144, 336, 137, 329)(107, 299, 138, 330, 153, 345, 121, 313, 152, 344, 139, 331)(122, 314, 154, 346, 142, 334, 150, 342, 174, 366, 147, 339)(123, 315, 155, 347, 124, 316, 151, 343, 175, 367, 148, 340)(126, 318, 157, 349, 172, 364, 143, 335, 171, 363, 158, 350)(140, 332, 170, 362, 141, 333, 145, 337, 173, 365, 146, 338)(163, 355, 178, 370, 169, 361, 185, 377, 191, 383, 177, 369)(164, 356, 181, 373, 165, 357, 186, 378, 188, 380, 180, 372)(166, 358, 179, 371, 190, 382, 183, 375, 192, 384, 187, 379)(167, 359, 182, 374, 168, 360, 184, 376, 189, 381, 176, 368)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 413)(16, 391)(17, 392)(18, 418)(19, 419)(20, 420)(21, 394)(22, 395)(23, 421)(24, 422)(25, 423)(26, 397)(27, 398)(28, 428)(29, 399)(30, 432)(31, 433)(32, 435)(33, 436)(34, 402)(35, 403)(36, 404)(37, 407)(38, 408)(39, 409)(40, 448)(41, 449)(42, 451)(43, 452)(44, 412)(45, 453)(46, 454)(47, 455)(48, 414)(49, 415)(50, 460)(51, 416)(52, 417)(53, 464)(54, 465)(55, 466)(56, 456)(57, 467)(58, 468)(59, 469)(60, 470)(61, 471)(62, 472)(63, 473)(64, 424)(65, 425)(66, 477)(67, 426)(68, 427)(69, 429)(70, 430)(71, 431)(72, 440)(73, 486)(74, 487)(75, 488)(76, 434)(77, 489)(78, 490)(79, 491)(80, 437)(81, 438)(82, 439)(83, 441)(84, 442)(85, 443)(86, 444)(87, 445)(88, 446)(89, 447)(90, 505)(91, 506)(92, 507)(93, 450)(94, 508)(95, 509)(96, 510)(97, 511)(98, 512)(99, 513)(100, 514)(101, 515)(102, 457)(103, 458)(104, 459)(105, 461)(106, 462)(107, 463)(108, 520)(109, 524)(110, 525)(111, 526)(112, 527)(113, 528)(114, 529)(115, 530)(116, 531)(117, 532)(118, 533)(119, 534)(120, 535)(121, 474)(122, 475)(123, 476)(124, 478)(125, 479)(126, 480)(127, 481)(128, 482)(129, 483)(130, 484)(131, 485)(132, 547)(133, 548)(134, 549)(135, 550)(136, 492)(137, 551)(138, 552)(139, 553)(140, 493)(141, 494)(142, 495)(143, 496)(144, 497)(145, 498)(146, 499)(147, 500)(148, 501)(149, 502)(150, 503)(151, 504)(152, 560)(153, 561)(154, 562)(155, 563)(156, 564)(157, 565)(158, 566)(159, 567)(160, 568)(161, 569)(162, 570)(163, 516)(164, 517)(165, 518)(166, 519)(167, 521)(168, 522)(169, 523)(170, 571)(171, 572)(172, 573)(173, 574)(174, 575)(175, 576)(176, 536)(177, 537)(178, 538)(179, 539)(180, 540)(181, 541)(182, 542)(183, 543)(184, 544)(185, 545)(186, 546)(187, 554)(188, 555)(189, 556)(190, 557)(191, 558)(192, 559)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2167
Graph:: simple bipartite
	v = 224 e = 384 f = 128
	degree seq :: [ 2^192, 12^32 ]

E17.2172 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1000>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1 * T2 * T1)^2, (T2 * T1^2 * T2 * T1^-2)^2, (T2 * T1^2 * T2 * T1^-2)^2, (T1^-1 * T2)^6, (T2 * T1^-3)^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, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 84, 49, 27)(17, 32, 56, 94, 58, 33)(21, 38, 66, 107, 68, 39)(22, 40, 69, 110, 72, 41)(26, 48, 81, 121, 76, 44)(30, 52, 89, 122, 77, 53)(34, 59, 98, 145, 100, 60)(36, 63, 103, 150, 104, 64)(43, 75, 118, 161, 113, 71)(47, 79, 125, 162, 114, 80)(50, 85, 62, 102, 132, 86)(51, 87, 133, 156, 136, 88)(55, 93, 140, 159, 120, 91)(57, 96, 143, 160, 127, 82)(65, 105, 111, 157, 152, 106)(67, 70, 112, 158, 154, 108)(74, 116, 165, 155, 109, 117)(78, 123, 171, 153, 174, 124)(83, 129, 95, 142, 167, 119)(90, 131, 172, 188, 179, 135)(92, 138, 166, 189, 180, 139)(97, 128, 176, 186, 182, 144)(99, 134, 169, 187, 184, 146)(101, 148, 164, 115, 163, 149)(126, 170, 190, 181, 141, 173)(130, 168, 192, 183, 151, 177)(137, 175, 191, 185, 147, 178)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 32)(20, 36)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(31, 55)(33, 57)(35, 62)(37, 65)(38, 63)(39, 67)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 82)(49, 83)(52, 90)(53, 91)(54, 92)(56, 95)(58, 97)(59, 96)(60, 99)(61, 101)(64, 93)(66, 98)(68, 109)(69, 111)(72, 114)(73, 115)(75, 119)(76, 120)(79, 126)(80, 127)(81, 128)(84, 130)(85, 129)(86, 131)(87, 134)(88, 135)(89, 137)(94, 141)(100, 147)(102, 146)(103, 143)(104, 139)(105, 140)(106, 151)(107, 153)(108, 142)(110, 156)(112, 159)(113, 160)(116, 166)(117, 167)(118, 168)(121, 169)(122, 170)(123, 172)(124, 173)(125, 175)(132, 178)(133, 176)(136, 180)(138, 164)(144, 174)(145, 183)(148, 177)(149, 184)(150, 179)(152, 185)(154, 181)(155, 182)(157, 186)(158, 187)(161, 188)(162, 189)(163, 190)(165, 191)(171, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.2173 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1000>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2)^2, (T2^2 * T1 * T2^-2 * T1)^2, (T1 * T2^-2 * T1 * T2^2)^2, (T2^-1 * T1)^6 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 54, 31, 16)(9, 19, 35, 62, 37, 20)(11, 22, 41, 72, 42, 23)(13, 26, 46, 80, 48, 27)(17, 32, 57, 97, 58, 33)(21, 38, 66, 107, 68, 39)(24, 43, 75, 120, 76, 44)(28, 49, 84, 130, 86, 50)(29, 51, 87, 133, 88, 52)(34, 59, 99, 147, 100, 60)(36, 63, 103, 150, 104, 64)(40, 69, 110, 156, 111, 70)(45, 77, 122, 170, 123, 78)(47, 81, 126, 173, 127, 82)(53, 89, 135, 179, 136, 90)(55, 92, 61, 101, 139, 93)(56, 94, 140, 181, 141, 95)(65, 105, 146, 185, 152, 106)(67, 98, 145, 184, 154, 108)(71, 112, 158, 186, 159, 113)(73, 115, 79, 124, 162, 116)(74, 117, 163, 188, 164, 118)(83, 128, 169, 192, 175, 129)(85, 121, 168, 191, 177, 131)(91, 137, 180, 153, 174, 138)(96, 142, 182, 155, 109, 143)(102, 148, 157, 144, 183, 149)(114, 160, 187, 176, 151, 161)(119, 165, 189, 178, 132, 166)(125, 171, 134, 167, 190, 172)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 215)(210, 226)(211, 218)(212, 228)(214, 232)(217, 237)(219, 239)(222, 245)(223, 247)(224, 248)(225, 244)(227, 253)(229, 257)(230, 255)(231, 259)(233, 263)(234, 265)(235, 266)(236, 262)(238, 271)(240, 275)(241, 273)(242, 277)(243, 274)(246, 283)(249, 288)(250, 268)(251, 290)(252, 287)(254, 294)(256, 261)(258, 276)(260, 301)(264, 306)(267, 311)(269, 313)(270, 310)(272, 317)(278, 324)(279, 320)(280, 303)(281, 326)(282, 319)(284, 307)(285, 309)(286, 308)(289, 336)(291, 338)(292, 328)(293, 323)(295, 318)(296, 305)(297, 302)(298, 343)(299, 345)(300, 316)(304, 349)(312, 359)(314, 361)(315, 351)(321, 366)(322, 368)(325, 360)(327, 357)(329, 355)(330, 363)(331, 358)(332, 352)(333, 365)(334, 350)(335, 354)(337, 348)(339, 362)(340, 353)(341, 369)(342, 356)(344, 370)(346, 364)(347, 367)(371, 378)(372, 379)(373, 380)(374, 381)(375, 382)(376, 383)(377, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2174
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.2174 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1000>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-1 * T1 * T2)^2, (T2^2 * T1 * T2^-2 * T1)^2, (T1 * T2^-2 * T1 * T2^2)^2, (T2^-1 * T1)^6 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 54, 246, 31, 223, 16, 208)(9, 201, 19, 211, 35, 227, 62, 254, 37, 229, 20, 212)(11, 203, 22, 214, 41, 233, 72, 264, 42, 234, 23, 215)(13, 205, 26, 218, 46, 238, 80, 272, 48, 240, 27, 219)(17, 209, 32, 224, 57, 249, 97, 289, 58, 250, 33, 225)(21, 213, 38, 230, 66, 258, 107, 299, 68, 260, 39, 231)(24, 216, 43, 235, 75, 267, 120, 312, 76, 268, 44, 236)(28, 220, 49, 241, 84, 276, 130, 322, 86, 278, 50, 242)(29, 221, 51, 243, 87, 279, 133, 325, 88, 280, 52, 244)(34, 226, 59, 251, 99, 291, 147, 339, 100, 292, 60, 252)(36, 228, 63, 255, 103, 295, 150, 342, 104, 296, 64, 256)(40, 232, 69, 261, 110, 302, 156, 348, 111, 303, 70, 262)(45, 237, 77, 269, 122, 314, 170, 362, 123, 315, 78, 270)(47, 239, 81, 273, 126, 318, 173, 365, 127, 319, 82, 274)(53, 245, 89, 281, 135, 327, 179, 371, 136, 328, 90, 282)(55, 247, 92, 284, 61, 253, 101, 293, 139, 331, 93, 285)(56, 248, 94, 286, 140, 332, 181, 373, 141, 333, 95, 287)(65, 257, 105, 297, 146, 338, 185, 377, 152, 344, 106, 298)(67, 259, 98, 290, 145, 337, 184, 376, 154, 346, 108, 300)(71, 263, 112, 304, 158, 350, 186, 378, 159, 351, 113, 305)(73, 265, 115, 307, 79, 271, 124, 316, 162, 354, 116, 308)(74, 266, 117, 309, 163, 355, 188, 380, 164, 356, 118, 310)(83, 275, 128, 320, 169, 361, 192, 384, 175, 367, 129, 321)(85, 277, 121, 313, 168, 360, 191, 383, 177, 369, 131, 323)(91, 283, 137, 329, 180, 372, 153, 345, 174, 366, 138, 330)(96, 288, 142, 334, 182, 374, 155, 347, 109, 301, 143, 335)(102, 294, 148, 340, 157, 349, 144, 336, 183, 375, 149, 341)(114, 306, 160, 352, 187, 379, 176, 368, 151, 343, 161, 353)(119, 311, 165, 357, 189, 381, 178, 370, 132, 324, 166, 358)(125, 317, 171, 363, 134, 326, 167, 359, 190, 382, 172, 364)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 215)(17, 200)(18, 226)(19, 218)(20, 228)(21, 202)(22, 232)(23, 208)(24, 204)(25, 237)(26, 211)(27, 239)(28, 206)(29, 207)(30, 245)(31, 247)(32, 248)(33, 244)(34, 210)(35, 253)(36, 212)(37, 257)(38, 255)(39, 259)(40, 214)(41, 263)(42, 265)(43, 266)(44, 262)(45, 217)(46, 271)(47, 219)(48, 275)(49, 273)(50, 277)(51, 274)(52, 225)(53, 222)(54, 283)(55, 223)(56, 224)(57, 288)(58, 268)(59, 290)(60, 287)(61, 227)(62, 294)(63, 230)(64, 261)(65, 229)(66, 276)(67, 231)(68, 301)(69, 256)(70, 236)(71, 233)(72, 306)(73, 234)(74, 235)(75, 311)(76, 250)(77, 313)(78, 310)(79, 238)(80, 317)(81, 241)(82, 243)(83, 240)(84, 258)(85, 242)(86, 324)(87, 320)(88, 303)(89, 326)(90, 319)(91, 246)(92, 307)(93, 309)(94, 308)(95, 252)(96, 249)(97, 336)(98, 251)(99, 338)(100, 328)(101, 323)(102, 254)(103, 318)(104, 305)(105, 302)(106, 343)(107, 345)(108, 316)(109, 260)(110, 297)(111, 280)(112, 349)(113, 296)(114, 264)(115, 284)(116, 286)(117, 285)(118, 270)(119, 267)(120, 359)(121, 269)(122, 361)(123, 351)(124, 300)(125, 272)(126, 295)(127, 282)(128, 279)(129, 366)(130, 368)(131, 293)(132, 278)(133, 360)(134, 281)(135, 357)(136, 292)(137, 355)(138, 363)(139, 358)(140, 352)(141, 365)(142, 350)(143, 354)(144, 289)(145, 348)(146, 291)(147, 362)(148, 353)(149, 369)(150, 356)(151, 298)(152, 370)(153, 299)(154, 364)(155, 367)(156, 337)(157, 304)(158, 334)(159, 315)(160, 332)(161, 340)(162, 335)(163, 329)(164, 342)(165, 327)(166, 331)(167, 312)(168, 325)(169, 314)(170, 339)(171, 330)(172, 346)(173, 333)(174, 321)(175, 347)(176, 322)(177, 341)(178, 344)(179, 378)(180, 379)(181, 380)(182, 381)(183, 382)(184, 383)(185, 384)(186, 371)(187, 372)(188, 373)(189, 374)(190, 375)(191, 376)(192, 377)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2173
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.2175 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1000>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y1 * Y2^-1 * Y1 * Y2)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^2, (Y3 * Y2^-1)^6, (Y2 * Y1)^6 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 23, 215)(18, 210, 34, 226)(19, 211, 26, 218)(20, 212, 36, 228)(22, 214, 40, 232)(25, 217, 45, 237)(27, 219, 47, 239)(30, 222, 53, 245)(31, 223, 55, 247)(32, 224, 56, 248)(33, 225, 52, 244)(35, 227, 61, 253)(37, 229, 65, 257)(38, 230, 63, 255)(39, 231, 67, 259)(41, 233, 71, 263)(42, 234, 73, 265)(43, 235, 74, 266)(44, 236, 70, 262)(46, 238, 79, 271)(48, 240, 83, 275)(49, 241, 81, 273)(50, 242, 85, 277)(51, 243, 82, 274)(54, 246, 91, 283)(57, 249, 96, 288)(58, 250, 76, 268)(59, 251, 98, 290)(60, 252, 95, 287)(62, 254, 102, 294)(64, 256, 69, 261)(66, 258, 84, 276)(68, 260, 109, 301)(72, 264, 114, 306)(75, 267, 119, 311)(77, 269, 121, 313)(78, 270, 118, 310)(80, 272, 125, 317)(86, 278, 132, 324)(87, 279, 128, 320)(88, 280, 111, 303)(89, 281, 134, 326)(90, 282, 127, 319)(92, 284, 115, 307)(93, 285, 117, 309)(94, 286, 116, 308)(97, 289, 144, 336)(99, 291, 146, 338)(100, 292, 136, 328)(101, 293, 131, 323)(103, 295, 126, 318)(104, 296, 113, 305)(105, 297, 110, 302)(106, 298, 151, 343)(107, 299, 153, 345)(108, 300, 124, 316)(112, 304, 157, 349)(120, 312, 167, 359)(122, 314, 169, 361)(123, 315, 159, 351)(129, 321, 174, 366)(130, 322, 176, 368)(133, 325, 168, 360)(135, 327, 165, 357)(137, 329, 163, 355)(138, 330, 171, 363)(139, 331, 166, 358)(140, 332, 160, 352)(141, 333, 173, 365)(142, 334, 158, 350)(143, 335, 162, 354)(145, 337, 156, 348)(147, 339, 170, 362)(148, 340, 161, 353)(149, 341, 177, 369)(150, 342, 164, 356)(152, 344, 178, 370)(154, 346, 172, 364)(155, 347, 175, 367)(179, 371, 186, 378)(180, 372, 187, 379)(181, 373, 188, 380)(182, 374, 189, 381)(183, 375, 190, 382)(184, 376, 191, 383)(185, 377, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 438, 630, 415, 607, 400, 592)(393, 585, 403, 595, 419, 611, 446, 638, 421, 613, 404, 596)(395, 587, 406, 598, 425, 617, 456, 648, 426, 618, 407, 599)(397, 589, 410, 602, 430, 622, 464, 656, 432, 624, 411, 603)(401, 593, 416, 608, 441, 633, 481, 673, 442, 634, 417, 609)(405, 597, 422, 614, 450, 642, 491, 683, 452, 644, 423, 615)(408, 600, 427, 619, 459, 651, 504, 696, 460, 652, 428, 620)(412, 604, 433, 625, 468, 660, 514, 706, 470, 662, 434, 626)(413, 605, 435, 627, 471, 663, 517, 709, 472, 664, 436, 628)(418, 610, 443, 635, 483, 675, 531, 723, 484, 676, 444, 636)(420, 612, 447, 639, 487, 679, 534, 726, 488, 680, 448, 640)(424, 616, 453, 645, 494, 686, 540, 732, 495, 687, 454, 646)(429, 621, 461, 653, 506, 698, 554, 746, 507, 699, 462, 654)(431, 623, 465, 657, 510, 702, 557, 749, 511, 703, 466, 658)(437, 629, 473, 665, 519, 711, 563, 755, 520, 712, 474, 666)(439, 631, 476, 668, 445, 637, 485, 677, 523, 715, 477, 669)(440, 632, 478, 670, 524, 716, 565, 757, 525, 717, 479, 671)(449, 641, 489, 681, 530, 722, 569, 761, 536, 728, 490, 682)(451, 643, 482, 674, 529, 721, 568, 760, 538, 730, 492, 684)(455, 647, 496, 688, 542, 734, 570, 762, 543, 735, 497, 689)(457, 649, 499, 691, 463, 655, 508, 700, 546, 738, 500, 692)(458, 650, 501, 693, 547, 739, 572, 764, 548, 740, 502, 694)(467, 659, 512, 704, 553, 745, 576, 768, 559, 751, 513, 705)(469, 661, 505, 697, 552, 744, 575, 767, 561, 753, 515, 707)(475, 667, 521, 713, 564, 756, 537, 729, 558, 750, 522, 714)(480, 672, 526, 718, 566, 758, 539, 731, 493, 685, 527, 719)(486, 678, 532, 724, 541, 733, 528, 720, 567, 759, 533, 725)(498, 690, 544, 736, 571, 763, 560, 752, 535, 727, 545, 737)(503, 695, 549, 741, 573, 765, 562, 754, 516, 708, 550, 742)(509, 701, 555, 747, 518, 710, 551, 743, 574, 766, 556, 748)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 407)(17, 392)(18, 418)(19, 410)(20, 420)(21, 394)(22, 424)(23, 400)(24, 396)(25, 429)(26, 403)(27, 431)(28, 398)(29, 399)(30, 437)(31, 439)(32, 440)(33, 436)(34, 402)(35, 445)(36, 404)(37, 449)(38, 447)(39, 451)(40, 406)(41, 455)(42, 457)(43, 458)(44, 454)(45, 409)(46, 463)(47, 411)(48, 467)(49, 465)(50, 469)(51, 466)(52, 417)(53, 414)(54, 475)(55, 415)(56, 416)(57, 480)(58, 460)(59, 482)(60, 479)(61, 419)(62, 486)(63, 422)(64, 453)(65, 421)(66, 468)(67, 423)(68, 493)(69, 448)(70, 428)(71, 425)(72, 498)(73, 426)(74, 427)(75, 503)(76, 442)(77, 505)(78, 502)(79, 430)(80, 509)(81, 433)(82, 435)(83, 432)(84, 450)(85, 434)(86, 516)(87, 512)(88, 495)(89, 518)(90, 511)(91, 438)(92, 499)(93, 501)(94, 500)(95, 444)(96, 441)(97, 528)(98, 443)(99, 530)(100, 520)(101, 515)(102, 446)(103, 510)(104, 497)(105, 494)(106, 535)(107, 537)(108, 508)(109, 452)(110, 489)(111, 472)(112, 541)(113, 488)(114, 456)(115, 476)(116, 478)(117, 477)(118, 462)(119, 459)(120, 551)(121, 461)(122, 553)(123, 543)(124, 492)(125, 464)(126, 487)(127, 474)(128, 471)(129, 558)(130, 560)(131, 485)(132, 470)(133, 552)(134, 473)(135, 549)(136, 484)(137, 547)(138, 555)(139, 550)(140, 544)(141, 557)(142, 542)(143, 546)(144, 481)(145, 540)(146, 483)(147, 554)(148, 545)(149, 561)(150, 548)(151, 490)(152, 562)(153, 491)(154, 556)(155, 559)(156, 529)(157, 496)(158, 526)(159, 507)(160, 524)(161, 532)(162, 527)(163, 521)(164, 534)(165, 519)(166, 523)(167, 504)(168, 517)(169, 506)(170, 531)(171, 522)(172, 538)(173, 525)(174, 513)(175, 539)(176, 514)(177, 533)(178, 536)(179, 570)(180, 571)(181, 572)(182, 573)(183, 574)(184, 575)(185, 576)(186, 563)(187, 564)(188, 565)(189, 566)(190, 567)(191, 568)(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, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2176
Graph:: bipartite
	v = 128 e = 384 f = 224
	degree seq :: [ 4^96, 12^32 ]

E17.2176 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = C2 x (((C2 x C2 x C2 x C2) : C3) : C2) (small group id <192, 1000>)
Aut   = $<384, 17948>$ (small group id <384, 17948>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y3)^2, Y1^6, (Y3 * Y1^-1 * Y3 * Y1)^2, (Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1)^2, (Y3 * Y1^-1)^6, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1, (Y3 * Y1^-3)^4 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 29, 221, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 46, 238, 28, 220, 14, 206)(9, 201, 19, 211, 35, 227, 61, 253, 37, 229, 20, 212)(12, 204, 23, 215, 42, 234, 73, 265, 45, 237, 24, 216)(16, 208, 31, 223, 54, 246, 84, 276, 49, 241, 27, 219)(17, 209, 32, 224, 56, 248, 94, 286, 58, 250, 33, 225)(21, 213, 38, 230, 66, 258, 107, 299, 68, 260, 39, 231)(22, 214, 40, 232, 69, 261, 110, 302, 72, 264, 41, 233)(26, 218, 48, 240, 81, 273, 121, 313, 76, 268, 44, 236)(30, 222, 52, 244, 89, 281, 122, 314, 77, 269, 53, 245)(34, 226, 59, 251, 98, 290, 145, 337, 100, 292, 60, 252)(36, 228, 63, 255, 103, 295, 150, 342, 104, 296, 64, 256)(43, 235, 75, 267, 118, 310, 161, 353, 113, 305, 71, 263)(47, 239, 79, 271, 125, 317, 162, 354, 114, 306, 80, 272)(50, 242, 85, 277, 62, 254, 102, 294, 132, 324, 86, 278)(51, 243, 87, 279, 133, 325, 156, 348, 136, 328, 88, 280)(55, 247, 93, 285, 140, 332, 159, 351, 120, 312, 91, 283)(57, 249, 96, 288, 143, 335, 160, 352, 127, 319, 82, 274)(65, 257, 105, 297, 111, 303, 157, 349, 152, 344, 106, 298)(67, 259, 70, 262, 112, 304, 158, 350, 154, 346, 108, 300)(74, 266, 116, 308, 165, 357, 155, 347, 109, 301, 117, 309)(78, 270, 123, 315, 171, 363, 153, 345, 174, 366, 124, 316)(83, 275, 129, 321, 95, 287, 142, 334, 167, 359, 119, 311)(90, 282, 131, 323, 172, 364, 188, 380, 179, 371, 135, 327)(92, 284, 138, 330, 166, 358, 189, 381, 180, 372, 139, 331)(97, 289, 128, 320, 176, 368, 186, 378, 182, 374, 144, 336)(99, 291, 134, 326, 169, 361, 187, 379, 184, 376, 146, 338)(101, 293, 148, 340, 164, 356, 115, 307, 163, 355, 149, 341)(126, 318, 170, 362, 190, 382, 181, 373, 141, 333, 173, 365)(130, 322, 168, 360, 192, 384, 183, 375, 151, 343, 177, 369)(137, 329, 175, 367, 191, 383, 185, 377, 147, 339, 178, 370)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 418)(19, 416)(20, 420)(21, 394)(22, 395)(23, 427)(24, 428)(25, 431)(26, 397)(27, 398)(28, 434)(29, 435)(30, 399)(31, 439)(32, 403)(33, 441)(34, 402)(35, 446)(36, 404)(37, 449)(38, 447)(39, 451)(40, 454)(41, 455)(42, 458)(43, 407)(44, 408)(45, 461)(46, 462)(47, 409)(48, 466)(49, 467)(50, 412)(51, 413)(52, 474)(53, 475)(54, 476)(55, 415)(56, 479)(57, 417)(58, 481)(59, 480)(60, 483)(61, 485)(62, 419)(63, 422)(64, 477)(65, 421)(66, 482)(67, 423)(68, 493)(69, 495)(70, 424)(71, 425)(72, 498)(73, 499)(74, 426)(75, 503)(76, 504)(77, 429)(78, 430)(79, 510)(80, 511)(81, 512)(82, 432)(83, 433)(84, 514)(85, 513)(86, 515)(87, 518)(88, 519)(89, 521)(90, 436)(91, 437)(92, 438)(93, 448)(94, 525)(95, 440)(96, 443)(97, 442)(98, 450)(99, 444)(100, 531)(101, 445)(102, 530)(103, 527)(104, 523)(105, 524)(106, 535)(107, 537)(108, 526)(109, 452)(110, 540)(111, 453)(112, 543)(113, 544)(114, 456)(115, 457)(116, 550)(117, 551)(118, 552)(119, 459)(120, 460)(121, 553)(122, 554)(123, 556)(124, 557)(125, 559)(126, 463)(127, 464)(128, 465)(129, 469)(130, 468)(131, 470)(132, 562)(133, 560)(134, 471)(135, 472)(136, 564)(137, 473)(138, 548)(139, 488)(140, 489)(141, 478)(142, 492)(143, 487)(144, 558)(145, 567)(146, 486)(147, 484)(148, 561)(149, 568)(150, 563)(151, 490)(152, 569)(153, 491)(154, 565)(155, 566)(156, 494)(157, 570)(158, 571)(159, 496)(160, 497)(161, 572)(162, 573)(163, 574)(164, 522)(165, 575)(166, 500)(167, 501)(168, 502)(169, 505)(170, 506)(171, 576)(172, 507)(173, 508)(174, 528)(175, 509)(176, 517)(177, 532)(178, 516)(179, 534)(180, 520)(181, 538)(182, 539)(183, 529)(184, 533)(185, 536)(186, 541)(187, 542)(188, 545)(189, 546)(190, 547)(191, 549)(192, 555)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2175
Graph:: simple bipartite
	v = 224 e = 384 f = 128
	degree seq :: [ 2^192, 12^32 ]

E17.2177 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 6, 6})
Quotient :: halfedge
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 1
Presentation :: [ X2^2, X1^6, X1 * X2 * X1^-1 * X2 * X1^-2 * X2 * X1^2 * X2, (X1^-1 * X2)^6, (X2 * X1 * X2 * X1 * X2 * X1^-2)^2, X2 * X1^-3 * X2 * X1^-3 * X2 * X1^3 * X2 * X1^-3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 66, 39, 20)(12, 23, 44, 78, 47, 24)(16, 31, 57, 97, 60, 32)(17, 33, 61, 103, 64, 34)(21, 40, 59, 101, 73, 41)(22, 42, 74, 118, 77, 43)(26, 50, 86, 135, 88, 51)(27, 52, 89, 65, 35, 53)(30, 45, 80, 125, 96, 56)(37, 67, 109, 161, 111, 68)(38, 69, 112, 163, 114, 70)(46, 81, 127, 92, 54, 82)(49, 75, 119, 167, 134, 85)(55, 93, 143, 166, 146, 94)(58, 99, 149, 168, 129, 100)(62, 104, 153, 188, 142, 105)(63, 106, 155, 171, 137, 87)(71, 115, 154, 176, 124, 79)(72, 116, 156, 172, 122, 117)(76, 120, 169, 130, 83, 121)(84, 131, 181, 150, 184, 132)(90, 139, 187, 148, 180, 140)(91, 141, 110, 162, 178, 126)(95, 133, 175, 151, 102, 138)(98, 144, 186, 191, 179, 128)(107, 157, 113, 164, 190, 158)(108, 159, 174, 123, 173, 160)(136, 182, 147, 189, 145, 170)(152, 183, 165, 177, 192, 185)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 58)(32, 59)(33, 62)(34, 63)(36, 51)(39, 64)(40, 71)(41, 72)(42, 75)(43, 76)(44, 79)(47, 83)(48, 84)(50, 87)(52, 90)(53, 91)(56, 95)(57, 98)(60, 102)(61, 100)(65, 107)(66, 108)(67, 110)(68, 74)(69, 113)(70, 99)(73, 114)(77, 122)(78, 123)(80, 126)(81, 128)(82, 129)(85, 133)(86, 136)(88, 138)(89, 137)(92, 142)(93, 144)(94, 145)(96, 147)(97, 148)(101, 150)(103, 152)(104, 154)(105, 143)(106, 156)(109, 139)(111, 151)(112, 141)(115, 155)(116, 165)(117, 162)(118, 166)(119, 168)(120, 170)(121, 171)(124, 175)(125, 177)(127, 178)(130, 180)(131, 182)(132, 183)(134, 185)(135, 186)(140, 181)(146, 190)(149, 169)(153, 184)(157, 174)(158, 176)(159, 187)(160, 179)(161, 188)(163, 189)(164, 167)(172, 191)(173, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: chiral positively-selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.2178 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 1
Presentation :: [ X1^2, X2^6, X1 * X2^2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2, (X2^-1 * X1)^6, (X2^2 * X1 * X2^-1 * X1 * X2^-1 * X1)^2, (X2^3 * X1 * X2^-3 * X1)^2 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 11)(6, 13)(8, 17)(10, 21)(12, 24)(14, 28)(15, 29)(16, 31)(18, 35)(19, 36)(20, 38)(22, 42)(23, 44)(25, 48)(26, 49)(27, 51)(30, 43)(32, 60)(33, 61)(34, 63)(37, 67)(39, 70)(40, 71)(41, 54)(45, 79)(46, 80)(47, 82)(50, 86)(52, 89)(53, 90)(55, 88)(56, 94)(57, 96)(58, 97)(59, 99)(62, 93)(64, 106)(65, 108)(66, 109)(68, 112)(69, 74)(72, 116)(73, 104)(75, 119)(76, 121)(77, 122)(78, 124)(81, 118)(83, 131)(84, 133)(85, 134)(87, 137)(91, 141)(92, 129)(95, 130)(98, 135)(100, 150)(101, 136)(102, 149)(103, 153)(105, 120)(107, 152)(110, 123)(111, 126)(113, 162)(114, 140)(115, 139)(117, 165)(125, 173)(127, 172)(128, 176)(132, 175)(138, 185)(142, 188)(143, 178)(144, 189)(145, 186)(146, 183)(147, 170)(148, 171)(151, 180)(154, 182)(155, 166)(156, 179)(157, 174)(158, 181)(159, 177)(160, 169)(161, 187)(163, 168)(164, 184)(167, 191)(190, 192)(193, 195, 200, 210, 202, 196)(194, 197, 204, 217, 206, 198)(199, 207, 222, 249, 224, 208)(201, 211, 229, 260, 231, 212)(203, 214, 235, 268, 237, 215)(205, 218, 242, 279, 244, 219)(209, 225, 254, 277, 241, 226)(213, 232, 264, 309, 265, 233)(216, 238, 273, 258, 228, 239)(220, 245, 283, 334, 284, 246)(221, 247, 285, 335, 287, 248)(223, 250, 290, 340, 292, 251)(227, 256, 299, 339, 289, 257)(230, 252, 293, 343, 305, 261)(234, 266, 310, 358, 312, 267)(236, 269, 315, 363, 317, 270)(240, 275, 324, 362, 314, 276)(243, 271, 318, 366, 330, 280)(253, 294, 344, 359, 311, 295)(255, 296, 346, 364, 316, 297)(259, 302, 351, 307, 263, 303)(262, 306, 355, 381, 349, 300)(272, 319, 367, 336, 286, 320)(274, 321, 369, 341, 291, 322)(278, 327, 374, 332, 282, 328)(281, 331, 378, 383, 372, 325)(288, 337, 382, 357, 368, 338)(298, 347, 308, 356, 377, 348)(301, 350, 376, 329, 375, 342)(304, 352, 365, 326, 373, 353)(313, 360, 384, 380, 345, 361)(323, 370, 333, 379, 354, 371)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.2179 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
Aut   = (((C4 x C4) : C3) : C2) : C2 (small group id <192, 1008>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X2^6, X1^6, X1 * X2^2 * X1^-1 * X2 * X1^2 * X2^-1, X2^-1 * X1 * X2^-1 * X1 * X2^-3 * X1 * X2 * X1^-1, X1 * X2^-2 * X1 * X2 * X1^-2 * X2^-3 * X1^2, X2 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 * X1^2 * X2 * X1^-1, (X1^-1 * X2 * X1^-1)^4, (X2^2 * X1^-2)^3 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 16, 208, 13, 205, 4, 196)(3, 195, 9, 201, 23, 215, 53, 245, 29, 221, 11, 203)(5, 197, 14, 206, 34, 226, 48, 240, 20, 212, 7, 199)(8, 200, 21, 213, 49, 241, 85, 277, 41, 233, 17, 209)(10, 202, 25, 217, 57, 249, 107, 299, 62, 254, 27, 219)(12, 204, 30, 222, 66, 258, 115, 307, 61, 253, 32, 224)(15, 207, 37, 229, 75, 267, 134, 326, 74, 266, 35, 227)(18, 210, 42, 234, 86, 278, 141, 333, 78, 270, 38, 230)(19, 211, 44, 236, 89, 281, 64, 256, 28, 220, 46, 238)(22, 214, 52, 244, 99, 291, 170, 362, 98, 290, 50, 242)(24, 216, 55, 247, 103, 295, 176, 368, 102, 294, 54, 246)(26, 218, 59, 251, 111, 303, 138, 330, 113, 305, 60, 252)(31, 223, 68, 260, 123, 315, 159, 351, 126, 318, 69, 261)(33, 225, 39, 231, 79, 271, 142, 334, 125, 317, 71, 263)(36, 228, 43, 235, 88, 280, 153, 345, 130, 322, 72, 264)(40, 232, 81, 273, 144, 336, 94, 286, 47, 239, 83, 275)(45, 237, 91, 283, 158, 350, 122, 314, 160, 352, 92, 284)(51, 243, 80, 272, 143, 335, 110, 302, 166, 358, 96, 288)(56, 248, 106, 298, 147, 339, 82, 274, 146, 338, 104, 296)(58, 250, 109, 301, 162, 354, 93, 285, 161, 353, 108, 300)(63, 255, 117, 309, 180, 372, 124, 316, 154, 346, 118, 310)(65, 257, 101, 293, 173, 365, 184, 376, 152, 344, 120, 312)(67, 259, 121, 313, 157, 349, 191, 383, 151, 343, 87, 279)(70, 262, 127, 319, 177, 369, 112, 304, 140, 332, 128, 320)(73, 265, 131, 323, 182, 374, 185, 377, 164, 356, 95, 287)(76, 268, 132, 324, 172, 364, 119, 311, 181, 373, 135, 327)(77, 269, 137, 329, 183, 375, 149, 341, 84, 276, 139, 331)(90, 282, 156, 348, 188, 380, 148, 340, 187, 379, 155, 347)(97, 289, 167, 359, 114, 306, 179, 371, 189, 381, 150, 342)(100, 292, 168, 360, 116, 308, 163, 355, 192, 384, 171, 363)(105, 297, 174, 366, 136, 328, 178, 370, 186, 378, 145, 337)(129, 321, 165, 357, 190, 382, 175, 367, 133, 325, 169, 361)
	L = (1, 195)(2, 199)(3, 202)(4, 204)(5, 193)(6, 209)(7, 211)(8, 194)(9, 196)(10, 218)(11, 220)(12, 223)(13, 225)(14, 227)(15, 197)(16, 230)(17, 232)(18, 198)(19, 237)(20, 239)(21, 242)(22, 200)(23, 246)(24, 201)(25, 203)(26, 207)(27, 253)(28, 255)(29, 257)(30, 205)(31, 248)(32, 254)(33, 262)(34, 264)(35, 258)(36, 206)(37, 252)(38, 269)(39, 208)(40, 274)(41, 276)(42, 228)(43, 210)(44, 212)(45, 214)(46, 221)(47, 285)(48, 287)(49, 288)(50, 215)(51, 213)(52, 284)(53, 290)(54, 271)(55, 296)(56, 216)(57, 300)(58, 217)(59, 219)(60, 281)(61, 306)(62, 308)(63, 302)(64, 305)(65, 311)(66, 279)(67, 222)(68, 224)(69, 317)(70, 314)(71, 318)(72, 321)(73, 226)(74, 325)(75, 327)(76, 229)(77, 330)(78, 332)(79, 243)(80, 231)(81, 233)(82, 235)(83, 240)(84, 340)(85, 342)(86, 343)(87, 234)(88, 339)(89, 347)(90, 236)(91, 238)(92, 336)(93, 349)(94, 352)(95, 355)(96, 357)(97, 241)(98, 361)(99, 363)(100, 244)(101, 245)(102, 367)(103, 337)(104, 249)(105, 247)(106, 261)(107, 338)(108, 365)(109, 335)(110, 250)(111, 369)(112, 251)(113, 331)(114, 370)(115, 266)(116, 345)(117, 256)(118, 344)(119, 351)(120, 346)(121, 350)(122, 259)(123, 372)(124, 260)(125, 374)(126, 364)(127, 263)(128, 333)(129, 362)(130, 360)(131, 268)(132, 265)(133, 368)(134, 366)(135, 329)(136, 267)(137, 270)(138, 272)(139, 277)(140, 328)(141, 376)(142, 294)(143, 303)(144, 378)(145, 273)(146, 275)(147, 375)(148, 295)(149, 298)(150, 309)(151, 382)(152, 278)(153, 316)(154, 280)(155, 323)(156, 313)(157, 282)(158, 315)(159, 283)(160, 320)(161, 286)(162, 377)(163, 299)(164, 301)(165, 322)(166, 310)(167, 292)(168, 289)(169, 326)(170, 324)(171, 319)(172, 291)(173, 297)(174, 293)(175, 383)(176, 380)(177, 384)(178, 304)(179, 307)(180, 381)(181, 312)(182, 379)(183, 373)(184, 353)(185, 334)(186, 359)(187, 341)(188, 371)(189, 348)(190, 358)(191, 354)(192, 356)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.2180 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^2 * T2 * T1^-2)^2, (T1^-1 * T2)^6, T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1^3 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 68, 39, 20)(12, 23, 44, 83, 47, 24)(16, 31, 58, 108, 61, 32)(17, 33, 62, 115, 65, 34)(21, 40, 75, 136, 78, 41)(22, 42, 79, 142, 82, 43)(26, 50, 93, 153, 96, 51)(27, 52, 97, 120, 100, 53)(30, 56, 105, 132, 89, 57)(35, 66, 121, 95, 124, 67)(37, 70, 127, 109, 130, 71)(38, 72, 131, 174, 133, 73)(45, 85, 146, 183, 147, 86)(46, 87, 148, 158, 150, 88)(49, 91, 118, 63, 117, 92)(54, 101, 69, 126, 160, 102)(55, 103, 99, 157, 128, 104)(59, 110, 90, 151, 149, 111)(60, 112, 135, 74, 134, 113)(64, 119, 167, 172, 125, 94)(76, 137, 176, 173, 177, 138)(77, 139, 178, 192, 179, 140)(80, 143, 180, 191, 162, 106)(81, 123, 170, 186, 181, 144)(84, 129, 156, 98, 141, 145)(107, 155, 188, 175, 187, 154)(114, 159, 116, 165, 182, 164)(122, 168, 184, 152, 185, 169)(161, 166, 189, 163, 171, 190)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 64)(36, 69)(39, 74)(40, 76)(41, 77)(42, 80)(43, 81)(44, 84)(47, 89)(48, 90)(50, 94)(51, 95)(52, 98)(53, 99)(56, 106)(57, 107)(58, 109)(61, 114)(62, 116)(65, 120)(66, 122)(67, 123)(68, 125)(70, 128)(71, 129)(72, 132)(73, 110)(75, 121)(78, 141)(79, 113)(82, 117)(83, 119)(85, 103)(86, 126)(87, 135)(88, 149)(91, 138)(92, 152)(93, 108)(96, 154)(97, 155)(100, 158)(101, 159)(102, 139)(104, 140)(105, 161)(111, 136)(112, 163)(115, 133)(118, 166)(124, 171)(127, 173)(130, 169)(131, 168)(134, 175)(137, 167)(142, 157)(143, 151)(144, 172)(145, 182)(146, 153)(147, 184)(148, 185)(150, 186)(156, 189)(160, 190)(162, 165)(164, 170)(174, 179)(176, 191)(177, 188)(178, 187)(180, 183)(181, 192)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.2181 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 6, 6})
Quotient :: regular
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^2 * T2)^3, (T1 * T2)^6, (T1^2 * T2 * T1^-2 * T2)^2, (T1 * T2 * T1 * T2 * T1^-2 * T2)^2, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 47, 28, 14)(9, 19, 36, 64, 39, 20)(12, 23, 35, 63, 46, 24)(16, 31, 55, 92, 58, 32)(17, 33, 59, 98, 62, 34)(21, 40, 70, 54, 30, 41)(22, 42, 52, 88, 65, 43)(26, 48, 80, 130, 83, 49)(27, 50, 84, 135, 87, 51)(37, 66, 105, 160, 108, 67)(38, 68, 109, 163, 111, 69)(44, 75, 120, 177, 123, 76)(45, 77, 124, 143, 127, 78)(53, 89, 97, 140, 99, 90)(56, 93, 144, 172, 126, 94)(57, 95, 125, 180, 148, 96)(60, 100, 150, 188, 153, 101)(61, 102, 154, 175, 131, 81)(71, 112, 166, 149, 167, 113)(72, 114, 168, 191, 170, 115)(73, 116, 171, 187, 142, 117)(74, 118, 141, 181, 176, 119)(79, 128, 134, 91, 136, 129)(82, 132, 174, 190, 155, 133)(85, 137, 183, 162, 107, 138)(86, 139, 106, 161, 178, 121)(103, 156, 159, 104, 158, 157)(110, 164, 145, 184, 173, 165)(122, 179, 169, 147, 186, 151)(146, 182, 192, 189, 152, 185)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 44)(24, 45)(25, 39)(28, 52)(29, 53)(31, 56)(32, 57)(33, 60)(34, 61)(36, 65)(40, 71)(41, 72)(42, 73)(43, 74)(46, 70)(47, 79)(48, 81)(49, 82)(50, 85)(51, 86)(54, 91)(55, 62)(58, 97)(59, 99)(63, 103)(64, 104)(66, 106)(67, 107)(68, 110)(69, 93)(75, 121)(76, 122)(77, 125)(78, 126)(80, 87)(83, 134)(84, 136)(88, 140)(89, 141)(90, 142)(92, 143)(94, 145)(95, 146)(96, 147)(98, 149)(100, 151)(101, 152)(102, 155)(105, 111)(108, 157)(109, 156)(112, 154)(113, 153)(114, 169)(115, 161)(116, 172)(117, 173)(118, 174)(119, 175)(120, 127)(123, 159)(124, 158)(128, 168)(129, 167)(130, 181)(131, 150)(132, 182)(133, 164)(135, 160)(137, 184)(138, 185)(139, 186)(144, 148)(162, 190)(163, 187)(165, 189)(166, 170)(171, 176)(177, 191)(178, 183)(179, 192)(180, 188)
	local type(s) :: { ( 6^6 ) }
Outer automorphisms :: reflexible selfdual
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 32 e = 96 f = 32
	degree seq :: [ 6^32 ]

E17.2182 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1)^6, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1 * T2 * T1)^4 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 58, 32, 16)(9, 19, 37, 71, 39, 20)(11, 22, 43, 82, 45, 23)(13, 26, 50, 95, 52, 27)(17, 33, 63, 118, 65, 34)(21, 40, 76, 138, 78, 41)(24, 46, 87, 131, 89, 47)(28, 53, 100, 104, 102, 54)(29, 55, 103, 157, 105, 56)(31, 59, 110, 98, 112, 60)(35, 66, 122, 170, 124, 67)(36, 68, 126, 81, 128, 69)(38, 72, 132, 174, 133, 73)(42, 79, 108, 159, 142, 80)(44, 83, 135, 74, 134, 84)(48, 90, 111, 161, 125, 91)(49, 92, 107, 57, 106, 93)(51, 96, 152, 173, 130, 97)(61, 113, 70, 129, 163, 114)(62, 115, 164, 189, 165, 116)(64, 119, 167, 162, 168, 120)(75, 136, 176, 172, 177, 137)(77, 139, 178, 192, 179, 140)(85, 144, 94, 151, 181, 145)(86, 121, 169, 190, 182, 146)(88, 148, 184, 175, 185, 149)(99, 153, 186, 158, 187, 154)(101, 155, 188, 191, 171, 123)(109, 141, 166, 117, 127, 160)(143, 156, 183, 147, 150, 180)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 227)(211, 228)(212, 230)(214, 234)(215, 236)(217, 240)(218, 241)(219, 243)(222, 249)(224, 253)(225, 254)(226, 256)(229, 262)(231, 266)(232, 267)(233, 269)(235, 273)(237, 277)(238, 278)(239, 280)(242, 286)(244, 290)(245, 291)(246, 293)(247, 289)(248, 296)(250, 300)(251, 301)(252, 303)(255, 309)(257, 281)(258, 313)(259, 315)(260, 317)(261, 319)(263, 322)(264, 323)(265, 271)(268, 292)(270, 333)(272, 330)(274, 295)(275, 335)(276, 314)(279, 339)(282, 307)(283, 332)(284, 316)(285, 342)(287, 325)(288, 310)(294, 348)(297, 341)(298, 329)(299, 350)(302, 340)(304, 354)(305, 336)(306, 331)(308, 321)(311, 327)(312, 334)(318, 364)(320, 346)(324, 345)(326, 367)(328, 344)(337, 347)(338, 343)(349, 356)(351, 361)(352, 372)(353, 362)(355, 375)(357, 378)(358, 373)(359, 379)(360, 380)(363, 365)(366, 371)(368, 374)(369, 376)(370, 377)(381, 382)(383, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2184
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.2183 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 6, 6})
Quotient :: edge
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-2)^3, (T1 * T2^-2 * T1 * T2^2)^2, (T2^-1 * T1)^6, T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, (T2^-1 * T1 * T2 * T1)^4 ]
Map:: polytopal
	R = (1, 3, 8, 18, 10, 4)(2, 5, 12, 25, 14, 6)(7, 15, 30, 55, 32, 16)(9, 19, 37, 67, 39, 20)(11, 22, 43, 75, 45, 23)(13, 26, 49, 85, 51, 27)(17, 33, 28, 52, 61, 34)(21, 40, 71, 46, 24, 41)(29, 53, 89, 139, 91, 54)(31, 56, 94, 146, 96, 57)(35, 62, 58, 97, 66, 63)(36, 64, 105, 159, 107, 65)(38, 68, 110, 165, 111, 69)(42, 73, 116, 171, 118, 74)(44, 76, 121, 175, 123, 77)(47, 80, 78, 124, 84, 81)(48, 82, 130, 179, 132, 83)(50, 86, 135, 182, 136, 87)(59, 98, 149, 186, 151, 99)(60, 100, 152, 119, 153, 101)(70, 112, 166, 133, 167, 113)(72, 114, 169, 191, 170, 115)(79, 125, 143, 92, 142, 126)(88, 137, 162, 108, 161, 138)(90, 140, 183, 181, 134, 141)(93, 144, 184, 160, 106, 145)(95, 147, 104, 158, 185, 148)(102, 154, 188, 178, 128, 155)(103, 156, 127, 177, 190, 157)(109, 163, 117, 172, 189, 164)(120, 173, 192, 180, 131, 174)(122, 176, 129, 150, 187, 168)(193, 194)(195, 199)(196, 201)(197, 203)(198, 205)(200, 209)(202, 213)(204, 216)(206, 220)(207, 221)(208, 223)(210, 227)(211, 228)(212, 230)(214, 234)(215, 236)(217, 239)(218, 240)(219, 242)(222, 231)(224, 250)(225, 251)(226, 252)(229, 258)(232, 262)(233, 264)(235, 243)(237, 270)(238, 271)(241, 276)(244, 280)(245, 279)(246, 282)(247, 284)(248, 285)(249, 287)(253, 263)(254, 294)(255, 295)(256, 296)(257, 298)(259, 300)(260, 301)(261, 265)(266, 309)(267, 311)(268, 312)(269, 314)(272, 319)(273, 320)(274, 321)(275, 323)(277, 325)(278, 326)(281, 288)(283, 318)(286, 317)(289, 316)(290, 340)(291, 342)(292, 313)(293, 310)(297, 303)(299, 330)(302, 329)(304, 327)(305, 324)(306, 360)(307, 350)(308, 315)(322, 328)(331, 369)(332, 365)(333, 355)(334, 361)(335, 359)(336, 364)(337, 366)(338, 351)(339, 368)(341, 345)(343, 354)(344, 353)(346, 363)(347, 381)(348, 375)(349, 374)(352, 373)(356, 372)(357, 370)(358, 362)(367, 371)(376, 377)(378, 383)(379, 384)(380, 382)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 12, 12 ), ( 12^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2185
Transitivity :: ET+
Graph:: simple bipartite
	v = 128 e = 192 f = 32
	degree seq :: [ 2^96, 6^32 ]

E17.2184 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T2^-1 * T1)^6, (T2^-1 * T1 * T2^2 * T1 * T2^-1)^2, T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, T2^-2 * T1 * T2^2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1 * T2 * T1)^4 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 58, 250, 32, 224, 16, 208)(9, 201, 19, 211, 37, 229, 71, 263, 39, 231, 20, 212)(11, 203, 22, 214, 43, 235, 82, 274, 45, 237, 23, 215)(13, 205, 26, 218, 50, 242, 95, 287, 52, 244, 27, 219)(17, 209, 33, 225, 63, 255, 118, 310, 65, 257, 34, 226)(21, 213, 40, 232, 76, 268, 138, 330, 78, 270, 41, 233)(24, 216, 46, 238, 87, 279, 131, 323, 89, 281, 47, 239)(28, 220, 53, 245, 100, 292, 104, 296, 102, 294, 54, 246)(29, 221, 55, 247, 103, 295, 157, 349, 105, 297, 56, 248)(31, 223, 59, 251, 110, 302, 98, 290, 112, 304, 60, 252)(35, 227, 66, 258, 122, 314, 170, 362, 124, 316, 67, 259)(36, 228, 68, 260, 126, 318, 81, 273, 128, 320, 69, 261)(38, 230, 72, 264, 132, 324, 174, 366, 133, 325, 73, 265)(42, 234, 79, 271, 108, 300, 159, 351, 142, 334, 80, 272)(44, 236, 83, 275, 135, 327, 74, 266, 134, 326, 84, 276)(48, 240, 90, 282, 111, 303, 161, 353, 125, 317, 91, 283)(49, 241, 92, 284, 107, 299, 57, 249, 106, 298, 93, 285)(51, 243, 96, 288, 152, 344, 173, 365, 130, 322, 97, 289)(61, 253, 113, 305, 70, 262, 129, 321, 163, 355, 114, 306)(62, 254, 115, 307, 164, 356, 189, 381, 165, 357, 116, 308)(64, 256, 119, 311, 167, 359, 162, 354, 168, 360, 120, 312)(75, 267, 136, 328, 176, 368, 172, 364, 177, 369, 137, 329)(77, 269, 139, 331, 178, 370, 192, 384, 179, 371, 140, 332)(85, 277, 144, 336, 94, 286, 151, 343, 181, 373, 145, 337)(86, 278, 121, 313, 169, 361, 190, 382, 182, 374, 146, 338)(88, 280, 148, 340, 184, 376, 175, 367, 185, 377, 149, 341)(99, 291, 153, 345, 186, 378, 158, 350, 187, 379, 154, 346)(101, 293, 155, 347, 188, 380, 191, 383, 171, 363, 123, 315)(109, 301, 141, 333, 166, 358, 117, 309, 127, 319, 160, 352)(143, 335, 156, 348, 183, 375, 147, 339, 150, 342, 180, 372)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 240)(26, 241)(27, 243)(28, 206)(29, 207)(30, 249)(31, 208)(32, 253)(33, 254)(34, 256)(35, 210)(36, 211)(37, 262)(38, 212)(39, 266)(40, 267)(41, 269)(42, 214)(43, 273)(44, 215)(45, 277)(46, 278)(47, 280)(48, 217)(49, 218)(50, 286)(51, 219)(52, 290)(53, 291)(54, 293)(55, 289)(56, 296)(57, 222)(58, 300)(59, 301)(60, 303)(61, 224)(62, 225)(63, 309)(64, 226)(65, 281)(66, 313)(67, 315)(68, 317)(69, 319)(70, 229)(71, 322)(72, 323)(73, 271)(74, 231)(75, 232)(76, 292)(77, 233)(78, 333)(79, 265)(80, 330)(81, 235)(82, 295)(83, 335)(84, 314)(85, 237)(86, 238)(87, 339)(88, 239)(89, 257)(90, 307)(91, 332)(92, 316)(93, 342)(94, 242)(95, 325)(96, 310)(97, 247)(98, 244)(99, 245)(100, 268)(101, 246)(102, 348)(103, 274)(104, 248)(105, 341)(106, 329)(107, 350)(108, 250)(109, 251)(110, 340)(111, 252)(112, 354)(113, 336)(114, 331)(115, 282)(116, 321)(117, 255)(118, 288)(119, 327)(120, 334)(121, 258)(122, 276)(123, 259)(124, 284)(125, 260)(126, 364)(127, 261)(128, 346)(129, 308)(130, 263)(131, 264)(132, 345)(133, 287)(134, 367)(135, 311)(136, 344)(137, 298)(138, 272)(139, 306)(140, 283)(141, 270)(142, 312)(143, 275)(144, 305)(145, 347)(146, 343)(147, 279)(148, 302)(149, 297)(150, 285)(151, 338)(152, 328)(153, 324)(154, 320)(155, 337)(156, 294)(157, 356)(158, 299)(159, 361)(160, 372)(161, 362)(162, 304)(163, 375)(164, 349)(165, 378)(166, 373)(167, 379)(168, 380)(169, 351)(170, 353)(171, 365)(172, 318)(173, 363)(174, 371)(175, 326)(176, 374)(177, 376)(178, 377)(179, 366)(180, 352)(181, 358)(182, 368)(183, 355)(184, 369)(185, 370)(186, 357)(187, 359)(188, 360)(189, 382)(190, 381)(191, 384)(192, 383)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2182
Transitivity :: ET+ VT+ AT
Graph::
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.2185 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 6, 6})
Quotient :: loop
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^6, (T1 * T2^-2)^3, (T1 * T2^-2 * T1 * T2^2)^2, (T2^-1 * T1)^6, T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2, (T2^-1 * T1 * T2 * T1)^4 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 18, 210, 10, 202, 4, 196)(2, 194, 5, 197, 12, 204, 25, 217, 14, 206, 6, 198)(7, 199, 15, 207, 30, 222, 55, 247, 32, 224, 16, 208)(9, 201, 19, 211, 37, 229, 67, 259, 39, 231, 20, 212)(11, 203, 22, 214, 43, 235, 75, 267, 45, 237, 23, 215)(13, 205, 26, 218, 49, 241, 85, 277, 51, 243, 27, 219)(17, 209, 33, 225, 28, 220, 52, 244, 61, 253, 34, 226)(21, 213, 40, 232, 71, 263, 46, 238, 24, 216, 41, 233)(29, 221, 53, 245, 89, 281, 139, 331, 91, 283, 54, 246)(31, 223, 56, 248, 94, 286, 146, 338, 96, 288, 57, 249)(35, 227, 62, 254, 58, 250, 97, 289, 66, 258, 63, 255)(36, 228, 64, 256, 105, 297, 159, 351, 107, 299, 65, 257)(38, 230, 68, 260, 110, 302, 165, 357, 111, 303, 69, 261)(42, 234, 73, 265, 116, 308, 171, 363, 118, 310, 74, 266)(44, 236, 76, 268, 121, 313, 175, 367, 123, 315, 77, 269)(47, 239, 80, 272, 78, 270, 124, 316, 84, 276, 81, 273)(48, 240, 82, 274, 130, 322, 179, 371, 132, 324, 83, 275)(50, 242, 86, 278, 135, 327, 182, 374, 136, 328, 87, 279)(59, 251, 98, 290, 149, 341, 186, 378, 151, 343, 99, 291)(60, 252, 100, 292, 152, 344, 119, 311, 153, 345, 101, 293)(70, 262, 112, 304, 166, 358, 133, 325, 167, 359, 113, 305)(72, 264, 114, 306, 169, 361, 191, 383, 170, 362, 115, 307)(79, 271, 125, 317, 143, 335, 92, 284, 142, 334, 126, 318)(88, 280, 137, 329, 162, 354, 108, 300, 161, 353, 138, 330)(90, 282, 140, 332, 183, 375, 181, 373, 134, 326, 141, 333)(93, 285, 144, 336, 184, 376, 160, 352, 106, 298, 145, 337)(95, 287, 147, 339, 104, 296, 158, 350, 185, 377, 148, 340)(102, 294, 154, 346, 188, 380, 178, 370, 128, 320, 155, 347)(103, 295, 156, 348, 127, 319, 177, 369, 190, 382, 157, 349)(109, 301, 163, 355, 117, 309, 172, 364, 189, 381, 164, 356)(120, 312, 173, 365, 192, 384, 180, 372, 131, 323, 174, 366)(122, 314, 176, 368, 129, 321, 150, 342, 187, 379, 168, 360)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 203)(6, 205)(7, 195)(8, 209)(9, 196)(10, 213)(11, 197)(12, 216)(13, 198)(14, 220)(15, 221)(16, 223)(17, 200)(18, 227)(19, 228)(20, 230)(21, 202)(22, 234)(23, 236)(24, 204)(25, 239)(26, 240)(27, 242)(28, 206)(29, 207)(30, 231)(31, 208)(32, 250)(33, 251)(34, 252)(35, 210)(36, 211)(37, 258)(38, 212)(39, 222)(40, 262)(41, 264)(42, 214)(43, 243)(44, 215)(45, 270)(46, 271)(47, 217)(48, 218)(49, 276)(50, 219)(51, 235)(52, 280)(53, 279)(54, 282)(55, 284)(56, 285)(57, 287)(58, 224)(59, 225)(60, 226)(61, 263)(62, 294)(63, 295)(64, 296)(65, 298)(66, 229)(67, 300)(68, 301)(69, 265)(70, 232)(71, 253)(72, 233)(73, 261)(74, 309)(75, 311)(76, 312)(77, 314)(78, 237)(79, 238)(80, 319)(81, 320)(82, 321)(83, 323)(84, 241)(85, 325)(86, 326)(87, 245)(88, 244)(89, 288)(90, 246)(91, 318)(92, 247)(93, 248)(94, 317)(95, 249)(96, 281)(97, 316)(98, 340)(99, 342)(100, 313)(101, 310)(102, 254)(103, 255)(104, 256)(105, 303)(106, 257)(107, 330)(108, 259)(109, 260)(110, 329)(111, 297)(112, 327)(113, 324)(114, 360)(115, 350)(116, 315)(117, 266)(118, 293)(119, 267)(120, 268)(121, 292)(122, 269)(123, 308)(124, 289)(125, 286)(126, 283)(127, 272)(128, 273)(129, 274)(130, 328)(131, 275)(132, 305)(133, 277)(134, 278)(135, 304)(136, 322)(137, 302)(138, 299)(139, 369)(140, 365)(141, 355)(142, 361)(143, 359)(144, 364)(145, 366)(146, 351)(147, 368)(148, 290)(149, 345)(150, 291)(151, 354)(152, 353)(153, 341)(154, 363)(155, 381)(156, 375)(157, 374)(158, 307)(159, 338)(160, 373)(161, 344)(162, 343)(163, 333)(164, 372)(165, 370)(166, 362)(167, 335)(168, 306)(169, 334)(170, 358)(171, 346)(172, 336)(173, 332)(174, 337)(175, 371)(176, 339)(177, 331)(178, 357)(179, 367)(180, 356)(181, 352)(182, 349)(183, 348)(184, 377)(185, 376)(186, 383)(187, 384)(188, 382)(189, 347)(190, 380)(191, 378)(192, 379)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2183
Transitivity :: ET+ VT+ AT
Graph::
	v = 32 e = 192 f = 128
	degree seq :: [ 12^32 ]

E17.2186 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y2^-2 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * Y1, (Y1 * Y2^-1)^6, (Y3 * Y2^-1)^6, Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2, Y2^-1 * Y1 * Y2 * R * Y2^-1 * Y1 * Y2^2 * R * Y2 * Y1 * Y2 * Y1 * Y2^-1, (Y2 * Y1 * Y2^-1 * Y1)^4, (Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 35, 227)(19, 211, 36, 228)(20, 212, 38, 230)(22, 214, 42, 234)(23, 215, 44, 236)(25, 217, 48, 240)(26, 218, 49, 241)(27, 219, 51, 243)(30, 222, 57, 249)(32, 224, 61, 253)(33, 225, 62, 254)(34, 226, 64, 256)(37, 229, 70, 262)(39, 231, 74, 266)(40, 232, 75, 267)(41, 233, 77, 269)(43, 235, 81, 273)(45, 237, 85, 277)(46, 238, 86, 278)(47, 239, 88, 280)(50, 242, 94, 286)(52, 244, 98, 290)(53, 245, 99, 291)(54, 246, 101, 293)(55, 247, 97, 289)(56, 248, 104, 296)(58, 250, 108, 300)(59, 251, 109, 301)(60, 252, 111, 303)(63, 255, 117, 309)(65, 257, 89, 281)(66, 258, 121, 313)(67, 259, 123, 315)(68, 260, 125, 317)(69, 261, 127, 319)(71, 263, 130, 322)(72, 264, 131, 323)(73, 265, 79, 271)(76, 268, 100, 292)(78, 270, 141, 333)(80, 272, 138, 330)(82, 274, 103, 295)(83, 275, 143, 335)(84, 276, 122, 314)(87, 279, 147, 339)(90, 282, 115, 307)(91, 283, 140, 332)(92, 284, 124, 316)(93, 285, 150, 342)(95, 287, 133, 325)(96, 288, 118, 310)(102, 294, 156, 348)(105, 297, 149, 341)(106, 298, 137, 329)(107, 299, 158, 350)(110, 302, 148, 340)(112, 304, 162, 354)(113, 305, 144, 336)(114, 306, 139, 331)(116, 308, 129, 321)(119, 311, 135, 327)(120, 312, 142, 334)(126, 318, 172, 364)(128, 320, 154, 346)(132, 324, 153, 345)(134, 326, 175, 367)(136, 328, 152, 344)(145, 337, 155, 347)(146, 338, 151, 343)(157, 349, 164, 356)(159, 351, 169, 361)(160, 352, 180, 372)(161, 353, 170, 362)(163, 355, 183, 375)(165, 357, 186, 378)(166, 358, 181, 373)(167, 359, 187, 379)(168, 360, 188, 380)(171, 363, 173, 365)(174, 366, 179, 371)(176, 368, 182, 374)(177, 369, 184, 376)(178, 370, 185, 377)(189, 381, 190, 382)(191, 383, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 442, 634, 416, 608, 400, 592)(393, 585, 403, 595, 421, 613, 455, 647, 423, 615, 404, 596)(395, 587, 406, 598, 427, 619, 466, 658, 429, 621, 407, 599)(397, 589, 410, 602, 434, 626, 479, 671, 436, 628, 411, 603)(401, 593, 417, 609, 447, 639, 502, 694, 449, 641, 418, 610)(405, 597, 424, 616, 460, 652, 522, 714, 462, 654, 425, 617)(408, 600, 430, 622, 471, 663, 515, 707, 473, 665, 431, 623)(412, 604, 437, 629, 484, 676, 488, 680, 486, 678, 438, 630)(413, 605, 439, 631, 487, 679, 541, 733, 489, 681, 440, 632)(415, 607, 443, 635, 494, 686, 482, 674, 496, 688, 444, 636)(419, 611, 450, 642, 506, 698, 554, 746, 508, 700, 451, 643)(420, 612, 452, 644, 510, 702, 465, 657, 512, 704, 453, 645)(422, 614, 456, 648, 516, 708, 558, 750, 517, 709, 457, 649)(426, 618, 463, 655, 492, 684, 543, 735, 526, 718, 464, 656)(428, 620, 467, 659, 519, 711, 458, 650, 518, 710, 468, 660)(432, 624, 474, 666, 495, 687, 545, 737, 509, 701, 475, 667)(433, 625, 476, 668, 491, 683, 441, 633, 490, 682, 477, 669)(435, 627, 480, 672, 536, 728, 557, 749, 514, 706, 481, 673)(445, 637, 497, 689, 454, 646, 513, 705, 547, 739, 498, 690)(446, 638, 499, 691, 548, 740, 573, 765, 549, 741, 500, 692)(448, 640, 503, 695, 551, 743, 546, 738, 552, 744, 504, 696)(459, 651, 520, 712, 560, 752, 556, 748, 561, 753, 521, 713)(461, 653, 523, 715, 562, 754, 576, 768, 563, 755, 524, 716)(469, 661, 528, 720, 478, 670, 535, 727, 565, 757, 529, 721)(470, 662, 505, 697, 553, 745, 574, 766, 566, 758, 530, 722)(472, 664, 532, 724, 568, 760, 559, 751, 569, 761, 533, 725)(483, 675, 537, 729, 570, 762, 542, 734, 571, 763, 538, 730)(485, 677, 539, 731, 572, 764, 575, 767, 555, 747, 507, 699)(493, 685, 525, 717, 550, 742, 501, 693, 511, 703, 544, 736)(527, 719, 540, 732, 567, 759, 531, 723, 534, 726, 564, 756)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 419)(19, 420)(20, 422)(21, 394)(22, 426)(23, 428)(24, 396)(25, 432)(26, 433)(27, 435)(28, 398)(29, 399)(30, 441)(31, 400)(32, 445)(33, 446)(34, 448)(35, 402)(36, 403)(37, 454)(38, 404)(39, 458)(40, 459)(41, 461)(42, 406)(43, 465)(44, 407)(45, 469)(46, 470)(47, 472)(48, 409)(49, 410)(50, 478)(51, 411)(52, 482)(53, 483)(54, 485)(55, 481)(56, 488)(57, 414)(58, 492)(59, 493)(60, 495)(61, 416)(62, 417)(63, 501)(64, 418)(65, 473)(66, 505)(67, 507)(68, 509)(69, 511)(70, 421)(71, 514)(72, 515)(73, 463)(74, 423)(75, 424)(76, 484)(77, 425)(78, 525)(79, 457)(80, 522)(81, 427)(82, 487)(83, 527)(84, 506)(85, 429)(86, 430)(87, 531)(88, 431)(89, 449)(90, 499)(91, 524)(92, 508)(93, 534)(94, 434)(95, 517)(96, 502)(97, 439)(98, 436)(99, 437)(100, 460)(101, 438)(102, 540)(103, 466)(104, 440)(105, 533)(106, 521)(107, 542)(108, 442)(109, 443)(110, 532)(111, 444)(112, 546)(113, 528)(114, 523)(115, 474)(116, 513)(117, 447)(118, 480)(119, 519)(120, 526)(121, 450)(122, 468)(123, 451)(124, 476)(125, 452)(126, 556)(127, 453)(128, 538)(129, 500)(130, 455)(131, 456)(132, 537)(133, 479)(134, 559)(135, 503)(136, 536)(137, 490)(138, 464)(139, 498)(140, 475)(141, 462)(142, 504)(143, 467)(144, 497)(145, 539)(146, 535)(147, 471)(148, 494)(149, 489)(150, 477)(151, 530)(152, 520)(153, 516)(154, 512)(155, 529)(156, 486)(157, 548)(158, 491)(159, 553)(160, 564)(161, 554)(162, 496)(163, 567)(164, 541)(165, 570)(166, 565)(167, 571)(168, 572)(169, 543)(170, 545)(171, 557)(172, 510)(173, 555)(174, 563)(175, 518)(176, 566)(177, 568)(178, 569)(179, 558)(180, 544)(181, 550)(182, 560)(183, 547)(184, 561)(185, 562)(186, 549)(187, 551)(188, 552)(189, 574)(190, 573)(191, 576)(192, 575)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2188
Graph:: bipartite
	v = 128 e = 384 f = 224
	degree seq :: [ 4^96, 12^32 ]

E17.2187 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^6, Y1 * Y2^2 * R * Y2^-2 * R * Y2^2, (Y1 * Y2^-2)^3, (Y3 * Y2^-1)^6, (Y1 * Y2)^6, Y2^-1 * R * Y2^-2 * R * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1, Y1 * Y2 * Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 24, 216)(14, 206, 28, 220)(15, 207, 29, 221)(16, 208, 31, 223)(18, 210, 35, 227)(19, 211, 36, 228)(20, 212, 38, 230)(22, 214, 42, 234)(23, 215, 44, 236)(25, 217, 47, 239)(26, 218, 48, 240)(27, 219, 50, 242)(30, 222, 39, 231)(32, 224, 58, 250)(33, 225, 59, 251)(34, 226, 60, 252)(37, 229, 66, 258)(40, 232, 70, 262)(41, 233, 72, 264)(43, 235, 51, 243)(45, 237, 78, 270)(46, 238, 79, 271)(49, 241, 84, 276)(52, 244, 88, 280)(53, 245, 87, 279)(54, 246, 90, 282)(55, 247, 92, 284)(56, 248, 93, 285)(57, 249, 95, 287)(61, 253, 71, 263)(62, 254, 102, 294)(63, 255, 103, 295)(64, 256, 104, 296)(65, 257, 106, 298)(67, 259, 108, 300)(68, 260, 109, 301)(69, 261, 73, 265)(74, 266, 117, 309)(75, 267, 119, 311)(76, 268, 120, 312)(77, 269, 122, 314)(80, 272, 127, 319)(81, 273, 128, 320)(82, 274, 129, 321)(83, 275, 131, 323)(85, 277, 133, 325)(86, 278, 134, 326)(89, 281, 96, 288)(91, 283, 126, 318)(94, 286, 125, 317)(97, 289, 124, 316)(98, 290, 148, 340)(99, 291, 150, 342)(100, 292, 121, 313)(101, 293, 118, 310)(105, 297, 111, 303)(107, 299, 138, 330)(110, 302, 137, 329)(112, 304, 135, 327)(113, 305, 132, 324)(114, 306, 168, 360)(115, 307, 158, 350)(116, 308, 123, 315)(130, 322, 136, 328)(139, 331, 177, 369)(140, 332, 173, 365)(141, 333, 163, 355)(142, 334, 169, 361)(143, 335, 167, 359)(144, 336, 172, 364)(145, 337, 174, 366)(146, 338, 159, 351)(147, 339, 176, 368)(149, 341, 153, 345)(151, 343, 162, 354)(152, 344, 161, 353)(154, 346, 171, 363)(155, 347, 189, 381)(156, 348, 183, 375)(157, 349, 182, 374)(160, 352, 181, 373)(164, 356, 180, 372)(165, 357, 178, 370)(166, 358, 170, 362)(175, 367, 179, 371)(184, 376, 185, 377)(186, 378, 191, 383)(187, 379, 192, 384)(188, 380, 190, 382)(385, 577, 387, 579, 392, 584, 402, 594, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 409, 601, 398, 590, 390, 582)(391, 583, 399, 591, 414, 606, 439, 631, 416, 608, 400, 592)(393, 585, 403, 595, 421, 613, 451, 643, 423, 615, 404, 596)(395, 587, 406, 598, 427, 619, 459, 651, 429, 621, 407, 599)(397, 589, 410, 602, 433, 625, 469, 661, 435, 627, 411, 603)(401, 593, 417, 609, 412, 604, 436, 628, 445, 637, 418, 610)(405, 597, 424, 616, 455, 647, 430, 622, 408, 600, 425, 617)(413, 605, 437, 629, 473, 665, 523, 715, 475, 667, 438, 630)(415, 607, 440, 632, 478, 670, 530, 722, 480, 672, 441, 633)(419, 611, 446, 638, 442, 634, 481, 673, 450, 642, 447, 639)(420, 612, 448, 640, 489, 681, 543, 735, 491, 683, 449, 641)(422, 614, 452, 644, 494, 686, 549, 741, 495, 687, 453, 645)(426, 618, 457, 649, 500, 692, 555, 747, 502, 694, 458, 650)(428, 620, 460, 652, 505, 697, 559, 751, 507, 699, 461, 653)(431, 623, 464, 656, 462, 654, 508, 700, 468, 660, 465, 657)(432, 624, 466, 658, 514, 706, 563, 755, 516, 708, 467, 659)(434, 626, 470, 662, 519, 711, 566, 758, 520, 712, 471, 663)(443, 635, 482, 674, 533, 725, 570, 762, 535, 727, 483, 675)(444, 636, 484, 676, 536, 728, 503, 695, 537, 729, 485, 677)(454, 646, 496, 688, 550, 742, 517, 709, 551, 743, 497, 689)(456, 648, 498, 690, 553, 745, 575, 767, 554, 746, 499, 691)(463, 655, 509, 701, 527, 719, 476, 668, 526, 718, 510, 702)(472, 664, 521, 713, 546, 738, 492, 684, 545, 737, 522, 714)(474, 666, 524, 716, 567, 759, 565, 757, 518, 710, 525, 717)(477, 669, 528, 720, 568, 760, 544, 736, 490, 682, 529, 721)(479, 671, 531, 723, 488, 680, 542, 734, 569, 761, 532, 724)(486, 678, 538, 730, 572, 764, 562, 754, 512, 704, 539, 731)(487, 679, 540, 732, 511, 703, 561, 753, 574, 766, 541, 733)(493, 685, 547, 739, 501, 693, 556, 748, 573, 765, 548, 740)(504, 696, 557, 749, 576, 768, 564, 756, 515, 707, 558, 750)(506, 698, 560, 752, 513, 705, 534, 726, 571, 763, 552, 744)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 408)(13, 390)(14, 412)(15, 413)(16, 415)(17, 392)(18, 419)(19, 420)(20, 422)(21, 394)(22, 426)(23, 428)(24, 396)(25, 431)(26, 432)(27, 434)(28, 398)(29, 399)(30, 423)(31, 400)(32, 442)(33, 443)(34, 444)(35, 402)(36, 403)(37, 450)(38, 404)(39, 414)(40, 454)(41, 456)(42, 406)(43, 435)(44, 407)(45, 462)(46, 463)(47, 409)(48, 410)(49, 468)(50, 411)(51, 427)(52, 472)(53, 471)(54, 474)(55, 476)(56, 477)(57, 479)(58, 416)(59, 417)(60, 418)(61, 455)(62, 486)(63, 487)(64, 488)(65, 490)(66, 421)(67, 492)(68, 493)(69, 457)(70, 424)(71, 445)(72, 425)(73, 453)(74, 501)(75, 503)(76, 504)(77, 506)(78, 429)(79, 430)(80, 511)(81, 512)(82, 513)(83, 515)(84, 433)(85, 517)(86, 518)(87, 437)(88, 436)(89, 480)(90, 438)(91, 510)(92, 439)(93, 440)(94, 509)(95, 441)(96, 473)(97, 508)(98, 532)(99, 534)(100, 505)(101, 502)(102, 446)(103, 447)(104, 448)(105, 495)(106, 449)(107, 522)(108, 451)(109, 452)(110, 521)(111, 489)(112, 519)(113, 516)(114, 552)(115, 542)(116, 507)(117, 458)(118, 485)(119, 459)(120, 460)(121, 484)(122, 461)(123, 500)(124, 481)(125, 478)(126, 475)(127, 464)(128, 465)(129, 466)(130, 520)(131, 467)(132, 497)(133, 469)(134, 470)(135, 496)(136, 514)(137, 494)(138, 491)(139, 561)(140, 557)(141, 547)(142, 553)(143, 551)(144, 556)(145, 558)(146, 543)(147, 560)(148, 482)(149, 537)(150, 483)(151, 546)(152, 545)(153, 533)(154, 555)(155, 573)(156, 567)(157, 566)(158, 499)(159, 530)(160, 565)(161, 536)(162, 535)(163, 525)(164, 564)(165, 562)(166, 554)(167, 527)(168, 498)(169, 526)(170, 550)(171, 538)(172, 528)(173, 524)(174, 529)(175, 563)(176, 531)(177, 523)(178, 549)(179, 559)(180, 548)(181, 544)(182, 541)(183, 540)(184, 569)(185, 568)(186, 575)(187, 576)(188, 574)(189, 539)(190, 572)(191, 570)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2189
Graph:: bipartite
	v = 128 e = 384 f = 224
	degree seq :: [ 4^96, 12^32 ]

E17.2188 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-1)^6, (Y3 * Y1^2 * Y3 * Y1^-2)^2, Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1^3 * Y3, Y1^3 * Y3 * Y1^-2 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 29, 221, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 48, 240, 28, 220, 14, 206)(9, 201, 19, 211, 36, 228, 68, 260, 39, 231, 20, 212)(12, 204, 23, 215, 44, 236, 83, 275, 47, 239, 24, 216)(16, 208, 31, 223, 58, 250, 108, 300, 61, 253, 32, 224)(17, 209, 33, 225, 62, 254, 115, 307, 65, 257, 34, 226)(21, 213, 40, 232, 75, 267, 136, 328, 78, 270, 41, 233)(22, 214, 42, 234, 79, 271, 142, 334, 82, 274, 43, 235)(26, 218, 50, 242, 93, 285, 153, 345, 96, 288, 51, 243)(27, 219, 52, 244, 97, 289, 120, 312, 100, 292, 53, 245)(30, 222, 56, 248, 105, 297, 132, 324, 89, 281, 57, 249)(35, 227, 66, 258, 121, 313, 95, 287, 124, 316, 67, 259)(37, 229, 70, 262, 127, 319, 109, 301, 130, 322, 71, 263)(38, 230, 72, 264, 131, 323, 174, 366, 133, 325, 73, 265)(45, 237, 85, 277, 146, 338, 183, 375, 147, 339, 86, 278)(46, 238, 87, 279, 148, 340, 158, 350, 150, 342, 88, 280)(49, 241, 91, 283, 118, 310, 63, 255, 117, 309, 92, 284)(54, 246, 101, 293, 69, 261, 126, 318, 160, 352, 102, 294)(55, 247, 103, 295, 99, 291, 157, 349, 128, 320, 104, 296)(59, 251, 110, 302, 90, 282, 151, 343, 149, 341, 111, 303)(60, 252, 112, 304, 135, 327, 74, 266, 134, 326, 113, 305)(64, 256, 119, 311, 167, 359, 172, 364, 125, 317, 94, 286)(76, 268, 137, 329, 176, 368, 173, 365, 177, 369, 138, 330)(77, 269, 139, 331, 178, 370, 192, 384, 179, 371, 140, 332)(80, 272, 143, 335, 180, 372, 191, 383, 162, 354, 106, 298)(81, 273, 123, 315, 170, 362, 186, 378, 181, 373, 144, 336)(84, 276, 129, 321, 156, 348, 98, 290, 141, 333, 145, 337)(107, 299, 155, 347, 188, 380, 175, 367, 187, 379, 154, 346)(114, 306, 159, 351, 116, 308, 165, 357, 182, 374, 164, 356)(122, 314, 168, 360, 184, 376, 152, 344, 185, 377, 169, 361)(161, 353, 166, 358, 189, 381, 163, 355, 171, 363, 190, 382)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 419)(19, 421)(20, 422)(21, 394)(22, 395)(23, 429)(24, 430)(25, 433)(26, 397)(27, 398)(28, 438)(29, 439)(30, 399)(31, 443)(32, 444)(33, 447)(34, 448)(35, 402)(36, 453)(37, 403)(38, 404)(39, 458)(40, 460)(41, 461)(42, 464)(43, 465)(44, 468)(45, 407)(46, 408)(47, 473)(48, 474)(49, 409)(50, 478)(51, 479)(52, 482)(53, 483)(54, 412)(55, 413)(56, 490)(57, 491)(58, 493)(59, 415)(60, 416)(61, 498)(62, 500)(63, 417)(64, 418)(65, 504)(66, 506)(67, 507)(68, 509)(69, 420)(70, 512)(71, 513)(72, 516)(73, 494)(74, 423)(75, 505)(76, 424)(77, 425)(78, 525)(79, 497)(80, 426)(81, 427)(82, 501)(83, 503)(84, 428)(85, 487)(86, 510)(87, 519)(88, 533)(89, 431)(90, 432)(91, 522)(92, 536)(93, 492)(94, 434)(95, 435)(96, 538)(97, 539)(98, 436)(99, 437)(100, 542)(101, 543)(102, 523)(103, 469)(104, 524)(105, 545)(106, 440)(107, 441)(108, 477)(109, 442)(110, 457)(111, 520)(112, 547)(113, 463)(114, 445)(115, 517)(116, 446)(117, 466)(118, 550)(119, 467)(120, 449)(121, 459)(122, 450)(123, 451)(124, 555)(125, 452)(126, 470)(127, 557)(128, 454)(129, 455)(130, 553)(131, 552)(132, 456)(133, 499)(134, 559)(135, 471)(136, 495)(137, 551)(138, 475)(139, 486)(140, 488)(141, 462)(142, 541)(143, 535)(144, 556)(145, 566)(146, 537)(147, 568)(148, 569)(149, 472)(150, 570)(151, 527)(152, 476)(153, 530)(154, 480)(155, 481)(156, 573)(157, 526)(158, 484)(159, 485)(160, 574)(161, 489)(162, 549)(163, 496)(164, 554)(165, 546)(166, 502)(167, 521)(168, 515)(169, 514)(170, 548)(171, 508)(172, 528)(173, 511)(174, 563)(175, 518)(176, 575)(177, 572)(178, 571)(179, 558)(180, 567)(181, 576)(182, 529)(183, 564)(184, 531)(185, 532)(186, 534)(187, 562)(188, 561)(189, 540)(190, 544)(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, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2186
Graph:: simple bipartite
	v = 224 e = 384 f = 128
	degree seq :: [ 2^192, 12^32 ]

E17.2189 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 6, 6})
Quotient :: dipole
Aut^+ = (((C2 x D8) : C2) : C3) : C2 (small group id <192, 201>)
Aut   = $<384, 5602>$ (small group id <384, 5602>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-2)^3, (Y1^2 * Y3 * Y1^-2 * Y3)^2, (Y1 * Y3)^6, (Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-1)^2, (Y3 * Y1 * Y3 * Y1^-1)^4 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 29, 221, 18, 210, 8, 200)(6, 198, 13, 205, 25, 217, 47, 239, 28, 220, 14, 206)(9, 201, 19, 211, 36, 228, 64, 256, 39, 231, 20, 212)(12, 204, 23, 215, 35, 227, 63, 255, 46, 238, 24, 216)(16, 208, 31, 223, 55, 247, 92, 284, 58, 250, 32, 224)(17, 209, 33, 225, 59, 251, 98, 290, 62, 254, 34, 226)(21, 213, 40, 232, 70, 262, 54, 246, 30, 222, 41, 233)(22, 214, 42, 234, 52, 244, 88, 280, 65, 257, 43, 235)(26, 218, 48, 240, 80, 272, 130, 322, 83, 275, 49, 241)(27, 219, 50, 242, 84, 276, 135, 327, 87, 279, 51, 243)(37, 229, 66, 258, 105, 297, 160, 352, 108, 300, 67, 259)(38, 230, 68, 260, 109, 301, 163, 355, 111, 303, 69, 261)(44, 236, 75, 267, 120, 312, 177, 369, 123, 315, 76, 268)(45, 237, 77, 269, 124, 316, 143, 335, 127, 319, 78, 270)(53, 245, 89, 281, 97, 289, 140, 332, 99, 291, 90, 282)(56, 248, 93, 285, 144, 336, 172, 364, 126, 318, 94, 286)(57, 249, 95, 287, 125, 317, 180, 372, 148, 340, 96, 288)(60, 252, 100, 292, 150, 342, 188, 380, 153, 345, 101, 293)(61, 253, 102, 294, 154, 346, 175, 367, 131, 323, 81, 273)(71, 263, 112, 304, 166, 358, 149, 341, 167, 359, 113, 305)(72, 264, 114, 306, 168, 360, 191, 383, 170, 362, 115, 307)(73, 265, 116, 308, 171, 363, 187, 379, 142, 334, 117, 309)(74, 266, 118, 310, 141, 333, 181, 373, 176, 368, 119, 311)(79, 271, 128, 320, 134, 326, 91, 283, 136, 328, 129, 321)(82, 274, 132, 324, 174, 366, 190, 382, 155, 347, 133, 325)(85, 277, 137, 329, 183, 375, 162, 354, 107, 299, 138, 330)(86, 278, 139, 331, 106, 298, 161, 353, 178, 370, 121, 313)(103, 295, 156, 348, 159, 351, 104, 296, 158, 350, 157, 349)(110, 302, 164, 356, 145, 337, 184, 376, 173, 365, 165, 357)(122, 314, 179, 371, 169, 361, 147, 339, 186, 378, 151, 343)(146, 338, 182, 374, 192, 384, 189, 381, 152, 344, 185, 377)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 419)(19, 421)(20, 422)(21, 394)(22, 395)(23, 428)(24, 429)(25, 423)(26, 397)(27, 398)(28, 436)(29, 437)(30, 399)(31, 440)(32, 441)(33, 444)(34, 445)(35, 402)(36, 449)(37, 403)(38, 404)(39, 409)(40, 455)(41, 456)(42, 457)(43, 458)(44, 407)(45, 408)(46, 454)(47, 463)(48, 465)(49, 466)(50, 469)(51, 470)(52, 412)(53, 413)(54, 475)(55, 446)(56, 415)(57, 416)(58, 481)(59, 483)(60, 417)(61, 418)(62, 439)(63, 487)(64, 488)(65, 420)(66, 490)(67, 491)(68, 494)(69, 477)(70, 430)(71, 424)(72, 425)(73, 426)(74, 427)(75, 505)(76, 506)(77, 509)(78, 510)(79, 431)(80, 471)(81, 432)(82, 433)(83, 518)(84, 520)(85, 434)(86, 435)(87, 464)(88, 524)(89, 525)(90, 526)(91, 438)(92, 527)(93, 453)(94, 529)(95, 530)(96, 531)(97, 442)(98, 533)(99, 443)(100, 535)(101, 536)(102, 539)(103, 447)(104, 448)(105, 495)(106, 450)(107, 451)(108, 541)(109, 540)(110, 452)(111, 489)(112, 538)(113, 537)(114, 553)(115, 545)(116, 556)(117, 557)(118, 558)(119, 559)(120, 511)(121, 459)(122, 460)(123, 543)(124, 542)(125, 461)(126, 462)(127, 504)(128, 552)(129, 551)(130, 565)(131, 534)(132, 566)(133, 548)(134, 467)(135, 544)(136, 468)(137, 568)(138, 569)(139, 570)(140, 472)(141, 473)(142, 474)(143, 476)(144, 532)(145, 478)(146, 479)(147, 480)(148, 528)(149, 482)(150, 515)(151, 484)(152, 485)(153, 497)(154, 496)(155, 486)(156, 493)(157, 492)(158, 508)(159, 507)(160, 519)(161, 499)(162, 574)(163, 571)(164, 517)(165, 573)(166, 554)(167, 513)(168, 512)(169, 498)(170, 550)(171, 560)(172, 500)(173, 501)(174, 502)(175, 503)(176, 555)(177, 575)(178, 567)(179, 576)(180, 572)(181, 514)(182, 516)(183, 562)(184, 521)(185, 522)(186, 523)(187, 547)(188, 564)(189, 549)(190, 546)(191, 561)(192, 563)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2187
Graph:: simple bipartite
	v = 224 e = 384 f = 128
	degree seq :: [ 2^192, 12^32 ]

E17.2190 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T1^3 * T2 * T1)^2, (T1 * T2 * T1)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 126, 82, 46, 37, 18, 8)(6, 13, 27, 53, 43, 78, 122, 124, 81, 58, 30, 14)(9, 19, 38, 71, 115, 130, 85, 48, 24, 47, 40, 20)(12, 25, 49, 42, 21, 41, 76, 120, 123, 90, 52, 26)(16, 33, 63, 106, 70, 84, 128, 164, 145, 110, 65, 34)(17, 35, 66, 100, 125, 161, 146, 102, 60, 95, 55, 28)(29, 56, 96, 136, 160, 159, 121, 77, 91, 132, 87, 50)(32, 61, 86, 69, 36, 68, 89, 135, 162, 149, 105, 62)(39, 73, 117, 127, 83, 51, 88, 133, 167, 158, 119, 74)(54, 92, 75, 99, 57, 98, 129, 166, 156, 116, 72, 93)(64, 108, 152, 178, 184, 171, 134, 114, 150, 176, 147, 103)(67, 112, 131, 168, 140, 104, 148, 177, 182, 172, 141, 113)(94, 139, 109, 154, 175, 185, 165, 144, 111, 151, 107, 137)(97, 142, 163, 183, 169, 138, 118, 157, 181, 186, 170, 143)(153, 173, 187, 191, 189, 179, 155, 174, 188, 192, 190, 180)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 103)(62, 104)(63, 107)(65, 109)(66, 111)(68, 114)(69, 112)(71, 110)(74, 118)(76, 105)(78, 102)(79, 115)(80, 123)(82, 125)(85, 129)(87, 131)(88, 134)(90, 136)(92, 137)(93, 138)(95, 140)(96, 141)(98, 144)(99, 142)(101, 145)(106, 150)(108, 153)(113, 155)(116, 154)(117, 147)(119, 152)(120, 158)(121, 148)(122, 156)(124, 160)(126, 162)(127, 163)(128, 165)(130, 167)(132, 169)(133, 170)(135, 172)(139, 173)(143, 174)(146, 175)(149, 178)(151, 179)(157, 180)(159, 181)(161, 182)(164, 184)(166, 186)(168, 187)(171, 188)(176, 189)(177, 190)(183, 191)(185, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2191
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.2191 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 88, 69)(43, 70, 87, 71)(45, 73, 85, 74)(46, 75, 84, 76)(60, 92, 82, 93)(61, 94, 81, 95)(63, 97, 79, 98)(64, 99, 78, 100)(65, 101, 123, 102)(66, 96, 114, 91)(67, 89, 72, 103)(90, 113, 133, 112)(104, 125, 111, 126)(105, 127, 110, 128)(106, 129, 109, 130)(107, 131, 108, 132)(115, 135, 122, 136)(116, 137, 121, 138)(117, 139, 120, 140)(118, 141, 119, 142)(124, 134, 152, 143)(144, 161, 151, 162)(145, 163, 150, 164)(146, 165, 149, 166)(147, 167, 148, 168)(153, 169, 160, 170)(154, 171, 159, 172)(155, 173, 158, 174)(156, 175, 157, 176)(177, 188, 184, 189)(178, 192, 183, 185)(179, 186, 182, 191)(180, 190, 181, 187)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 104)(69, 105)(70, 106)(71, 107)(73, 108)(74, 109)(75, 110)(76, 111)(77, 102)(80, 101)(83, 112)(86, 113)(92, 115)(93, 116)(94, 117)(95, 118)(97, 119)(98, 120)(99, 121)(100, 122)(103, 124)(114, 134)(123, 143)(125, 144)(126, 145)(127, 146)(128, 147)(129, 148)(130, 149)(131, 150)(132, 151)(133, 152)(135, 153)(136, 154)(137, 155)(138, 156)(139, 157)(140, 158)(141, 159)(142, 160)(161, 177)(162, 178)(163, 179)(164, 180)(165, 181)(166, 182)(167, 183)(168, 184)(169, 185)(170, 186)(171, 187)(172, 188)(173, 189)(174, 190)(175, 191)(176, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2190
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.2192 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^4, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 110, 74)(46, 75, 111, 76)(54, 86, 62, 87)(57, 91, 121, 92)(59, 93, 122, 94)(65, 101, 82, 102)(67, 103, 80, 104)(70, 106, 79, 107)(72, 108, 77, 109)(83, 112, 100, 113)(85, 114, 98, 115)(88, 117, 97, 118)(90, 119, 95, 120)(105, 127, 151, 128)(116, 137, 160, 138)(123, 143, 132, 144)(124, 145, 131, 146)(125, 147, 130, 148)(126, 149, 129, 150)(133, 152, 142, 153)(134, 154, 141, 155)(135, 156, 140, 157)(136, 158, 139, 159)(161, 177, 168, 178)(162, 179, 167, 180)(163, 181, 166, 182)(164, 183, 165, 184)(169, 185, 176, 186)(170, 187, 175, 188)(171, 189, 174, 190)(172, 191, 173, 192)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 257)(232, 259)(234, 262)(235, 264)(237, 250)(239, 269)(240, 271)(242, 272)(243, 274)(244, 275)(245, 277)(247, 280)(248, 282)(252, 287)(253, 289)(255, 290)(256, 292)(258, 286)(260, 278)(261, 297)(263, 285)(265, 291)(266, 288)(267, 281)(268, 276)(270, 284)(273, 283)(279, 308)(293, 315)(294, 316)(295, 317)(296, 318)(298, 321)(299, 322)(300, 323)(301, 324)(302, 320)(303, 319)(304, 325)(305, 326)(306, 327)(307, 328)(309, 331)(310, 332)(311, 333)(312, 334)(313, 330)(314, 329)(335, 353)(336, 354)(337, 355)(338, 356)(339, 357)(340, 358)(341, 359)(342, 360)(343, 352)(344, 361)(345, 362)(346, 363)(347, 364)(348, 365)(349, 366)(350, 367)(351, 368)(369, 380)(370, 381)(371, 384)(372, 377)(373, 378)(374, 383)(375, 382)(376, 379)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2196
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.2193 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^4, (T2^2 * T1^-1 * T2)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 91, 131, 100, 62, 32, 14, 5)(2, 7, 17, 38, 74, 115, 153, 120, 80, 44, 20, 8)(4, 12, 27, 56, 96, 135, 161, 126, 86, 48, 22, 9)(6, 15, 33, 64, 104, 143, 173, 148, 110, 70, 36, 16)(11, 26, 54, 31, 61, 99, 138, 163, 129, 89, 50, 23)(13, 29, 59, 98, 137, 164, 130, 90, 51, 25, 53, 30)(18, 40, 76, 43, 79, 119, 156, 178, 151, 113, 72, 37)(19, 41, 77, 118, 155, 179, 152, 114, 73, 39, 75, 42)(21, 45, 81, 122, 158, 182, 167, 134, 95, 57, 83, 46)(28, 58, 85, 47, 84, 125, 160, 183, 166, 133, 94, 55)(34, 66, 106, 69, 109, 147, 176, 187, 171, 141, 102, 63)(35, 67, 107, 146, 175, 188, 172, 142, 103, 65, 105, 68)(49, 87, 127, 162, 184, 168, 136, 97, 60, 92, 128, 88)(71, 111, 149, 177, 190, 180, 154, 117, 78, 116, 150, 112)(82, 123, 159, 124, 93, 132, 165, 185, 191, 181, 157, 121)(101, 139, 169, 186, 192, 189, 174, 145, 108, 144, 170, 140)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 252, 221)(209, 229, 263, 231)(212, 235, 270, 233)(214, 239, 274, 237)(216, 243, 271, 236)(218, 238, 258, 234)(219, 247, 285, 249)(222, 250, 260, 232)(224, 248, 287, 253)(225, 255, 293, 257)(228, 261, 300, 259)(230, 265, 301, 262)(240, 256, 295, 276)(242, 269, 309, 279)(244, 272, 296, 278)(245, 280, 315, 277)(246, 267, 304, 284)(251, 289, 324, 286)(254, 266, 302, 288)(264, 299, 337, 303)(268, 297, 332, 308)(273, 313, 331, 294)(275, 316, 336, 298)(281, 314, 333, 310)(282, 317, 334, 311)(283, 318, 350, 321)(290, 325, 338, 305)(291, 326, 339, 306)(292, 329, 343, 307)(312, 347, 363, 335)(319, 346, 361, 349)(320, 342, 362, 351)(322, 354, 373, 352)(323, 355, 376, 356)(327, 340, 367, 358)(328, 341, 366, 357)(330, 344, 369, 360)(345, 370, 382, 371)(348, 364, 378, 372)(353, 375, 383, 374)(359, 377, 381, 368)(365, 379, 384, 380)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2197
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.2194 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^3 * T2 * T1)^2, (T1^-1 * T2 * T1^-1)^4, T1^12 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 72)(40, 75)(41, 77)(42, 73)(44, 59)(45, 81)(47, 83)(48, 84)(49, 86)(52, 89)(53, 91)(55, 94)(56, 97)(58, 100)(61, 103)(62, 104)(63, 107)(65, 109)(66, 111)(68, 114)(69, 112)(71, 110)(74, 118)(76, 105)(78, 102)(79, 115)(80, 123)(82, 125)(85, 129)(87, 131)(88, 134)(90, 136)(92, 137)(93, 138)(95, 140)(96, 141)(98, 144)(99, 142)(101, 145)(106, 150)(108, 153)(113, 155)(116, 154)(117, 147)(119, 152)(120, 158)(121, 148)(122, 156)(124, 160)(126, 162)(127, 163)(128, 165)(130, 167)(132, 169)(133, 170)(135, 172)(139, 173)(143, 174)(146, 175)(149, 178)(151, 179)(157, 180)(159, 181)(161, 182)(164, 184)(166, 186)(168, 187)(171, 188)(176, 189)(177, 190)(183, 191)(185, 192)(193, 194, 197, 203, 215, 237, 272, 271, 236, 214, 202, 196)(195, 199, 207, 223, 251, 293, 318, 274, 238, 229, 210, 200)(198, 205, 219, 245, 235, 270, 314, 316, 273, 250, 222, 206)(201, 211, 230, 263, 307, 322, 277, 240, 216, 239, 232, 212)(204, 217, 241, 234, 213, 233, 268, 312, 315, 282, 244, 218)(208, 225, 255, 298, 262, 276, 320, 356, 337, 302, 257, 226)(209, 227, 258, 292, 317, 353, 338, 294, 252, 287, 247, 220)(221, 248, 288, 328, 352, 351, 313, 269, 283, 324, 279, 242)(224, 253, 278, 261, 228, 260, 281, 327, 354, 341, 297, 254)(231, 265, 309, 319, 275, 243, 280, 325, 359, 350, 311, 266)(246, 284, 267, 291, 249, 290, 321, 358, 348, 308, 264, 285)(256, 300, 344, 370, 376, 363, 326, 306, 342, 368, 339, 295)(259, 304, 323, 360, 332, 296, 340, 369, 374, 364, 333, 305)(286, 331, 301, 346, 367, 377, 357, 336, 303, 343, 299, 329)(289, 334, 355, 375, 361, 330, 310, 349, 373, 378, 362, 335)(345, 365, 379, 383, 381, 371, 347, 366, 380, 384, 382, 372)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2195
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.2195 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T2)^2, (F * T1)^2, (T2^2 * T1)^4, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 66, 258, 40, 232)(25, 217, 42, 234, 71, 263, 43, 235)(28, 220, 47, 239, 78, 270, 48, 240)(30, 222, 50, 242, 81, 273, 51, 243)(31, 223, 52, 244, 84, 276, 53, 245)(33, 225, 55, 247, 89, 281, 56, 248)(36, 228, 60, 252, 96, 288, 61, 253)(38, 230, 63, 255, 99, 291, 64, 256)(41, 233, 68, 260, 49, 241, 69, 261)(44, 236, 73, 265, 110, 302, 74, 266)(46, 238, 75, 267, 111, 303, 76, 268)(54, 246, 86, 278, 62, 254, 87, 279)(57, 249, 91, 283, 121, 313, 92, 284)(59, 251, 93, 285, 122, 314, 94, 286)(65, 257, 101, 293, 82, 274, 102, 294)(67, 259, 103, 295, 80, 272, 104, 296)(70, 262, 106, 298, 79, 271, 107, 299)(72, 264, 108, 300, 77, 269, 109, 301)(83, 275, 112, 304, 100, 292, 113, 305)(85, 277, 114, 306, 98, 290, 115, 307)(88, 280, 117, 309, 97, 289, 118, 310)(90, 282, 119, 311, 95, 287, 120, 312)(105, 297, 127, 319, 151, 343, 128, 320)(116, 308, 137, 329, 160, 352, 138, 330)(123, 315, 143, 335, 132, 324, 144, 336)(124, 316, 145, 337, 131, 323, 146, 338)(125, 317, 147, 339, 130, 322, 148, 340)(126, 318, 149, 341, 129, 321, 150, 342)(133, 325, 152, 344, 142, 334, 153, 345)(134, 326, 154, 346, 141, 333, 155, 347)(135, 327, 156, 348, 140, 332, 157, 349)(136, 328, 158, 350, 139, 331, 159, 351)(161, 353, 177, 369, 168, 360, 178, 370)(162, 354, 179, 371, 167, 359, 180, 372)(163, 355, 181, 373, 166, 358, 182, 374)(164, 356, 183, 375, 165, 357, 184, 376)(169, 361, 185, 377, 176, 368, 186, 378)(170, 362, 187, 379, 175, 367, 188, 380)(171, 363, 189, 381, 174, 366, 190, 382)(172, 364, 191, 383, 173, 365, 192, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 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, 257)(40, 259)(41, 216)(42, 262)(43, 264)(44, 218)(45, 250)(46, 219)(47, 269)(48, 271)(49, 221)(50, 272)(51, 274)(52, 275)(53, 277)(54, 224)(55, 280)(56, 282)(57, 226)(58, 237)(59, 227)(60, 287)(61, 289)(62, 229)(63, 290)(64, 292)(65, 231)(66, 286)(67, 232)(68, 278)(69, 297)(70, 234)(71, 285)(72, 235)(73, 291)(74, 288)(75, 281)(76, 276)(77, 239)(78, 284)(79, 240)(80, 242)(81, 283)(82, 243)(83, 244)(84, 268)(85, 245)(86, 260)(87, 308)(88, 247)(89, 267)(90, 248)(91, 273)(92, 270)(93, 263)(94, 258)(95, 252)(96, 266)(97, 253)(98, 255)(99, 265)(100, 256)(101, 315)(102, 316)(103, 317)(104, 318)(105, 261)(106, 321)(107, 322)(108, 323)(109, 324)(110, 320)(111, 319)(112, 325)(113, 326)(114, 327)(115, 328)(116, 279)(117, 331)(118, 332)(119, 333)(120, 334)(121, 330)(122, 329)(123, 293)(124, 294)(125, 295)(126, 296)(127, 303)(128, 302)(129, 298)(130, 299)(131, 300)(132, 301)(133, 304)(134, 305)(135, 306)(136, 307)(137, 314)(138, 313)(139, 309)(140, 310)(141, 311)(142, 312)(143, 353)(144, 354)(145, 355)(146, 356)(147, 357)(148, 358)(149, 359)(150, 360)(151, 352)(152, 361)(153, 362)(154, 363)(155, 364)(156, 365)(157, 366)(158, 367)(159, 368)(160, 343)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 344)(170, 345)(171, 346)(172, 347)(173, 348)(174, 349)(175, 350)(176, 351)(177, 380)(178, 381)(179, 384)(180, 377)(181, 378)(182, 383)(183, 382)(184, 379)(185, 372)(186, 373)(187, 376)(188, 369)(189, 370)(190, 375)(191, 374)(192, 371)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2194
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2196 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2 * T1^-1)^4, (T2^2 * T1^-1 * T2)^2, T2^12 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 52, 244, 91, 283, 131, 323, 100, 292, 62, 254, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 74, 266, 115, 307, 153, 345, 120, 312, 80, 272, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 56, 248, 96, 288, 135, 327, 161, 353, 126, 318, 86, 278, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 64, 256, 104, 296, 143, 335, 173, 365, 148, 340, 110, 302, 70, 262, 36, 228, 16, 208)(11, 203, 26, 218, 54, 246, 31, 223, 61, 253, 99, 291, 138, 330, 163, 355, 129, 321, 89, 281, 50, 242, 23, 215)(13, 205, 29, 221, 59, 251, 98, 290, 137, 329, 164, 356, 130, 322, 90, 282, 51, 243, 25, 217, 53, 245, 30, 222)(18, 210, 40, 232, 76, 268, 43, 235, 79, 271, 119, 311, 156, 348, 178, 370, 151, 343, 113, 305, 72, 264, 37, 229)(19, 211, 41, 233, 77, 269, 118, 310, 155, 347, 179, 371, 152, 344, 114, 306, 73, 265, 39, 231, 75, 267, 42, 234)(21, 213, 45, 237, 81, 273, 122, 314, 158, 350, 182, 374, 167, 359, 134, 326, 95, 287, 57, 249, 83, 275, 46, 238)(28, 220, 58, 250, 85, 277, 47, 239, 84, 276, 125, 317, 160, 352, 183, 375, 166, 358, 133, 325, 94, 286, 55, 247)(34, 226, 66, 258, 106, 298, 69, 261, 109, 301, 147, 339, 176, 368, 187, 379, 171, 363, 141, 333, 102, 294, 63, 255)(35, 227, 67, 259, 107, 299, 146, 338, 175, 367, 188, 380, 172, 364, 142, 334, 103, 295, 65, 257, 105, 297, 68, 260)(49, 241, 87, 279, 127, 319, 162, 354, 184, 376, 168, 360, 136, 328, 97, 289, 60, 252, 92, 284, 128, 320, 88, 280)(71, 263, 111, 303, 149, 341, 177, 369, 190, 382, 180, 372, 154, 346, 117, 309, 78, 270, 116, 308, 150, 342, 112, 304)(82, 274, 123, 315, 159, 351, 124, 316, 93, 285, 132, 324, 165, 357, 185, 377, 191, 383, 181, 373, 157, 349, 121, 313)(101, 293, 139, 331, 169, 361, 186, 378, 192, 384, 189, 381, 174, 366, 145, 337, 108, 300, 144, 336, 170, 362, 140, 332)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 243)(25, 202)(26, 238)(27, 247)(28, 204)(29, 206)(30, 250)(31, 252)(32, 248)(33, 255)(34, 207)(35, 220)(36, 261)(37, 263)(38, 265)(39, 209)(40, 222)(41, 212)(42, 218)(43, 270)(44, 216)(45, 214)(46, 258)(47, 274)(48, 256)(49, 217)(50, 269)(51, 271)(52, 272)(53, 280)(54, 267)(55, 285)(56, 287)(57, 219)(58, 260)(59, 289)(60, 221)(61, 224)(62, 266)(63, 293)(64, 295)(65, 225)(66, 234)(67, 228)(68, 232)(69, 300)(70, 230)(71, 231)(72, 299)(73, 301)(74, 302)(75, 304)(76, 297)(77, 309)(78, 233)(79, 236)(80, 296)(81, 313)(82, 237)(83, 316)(84, 240)(85, 245)(86, 244)(87, 242)(88, 315)(89, 314)(90, 317)(91, 318)(92, 246)(93, 249)(94, 251)(95, 253)(96, 254)(97, 324)(98, 325)(99, 326)(100, 329)(101, 257)(102, 273)(103, 276)(104, 278)(105, 332)(106, 275)(107, 337)(108, 259)(109, 262)(110, 288)(111, 264)(112, 284)(113, 290)(114, 291)(115, 292)(116, 268)(117, 279)(118, 281)(119, 282)(120, 347)(121, 331)(122, 333)(123, 277)(124, 336)(125, 334)(126, 350)(127, 346)(128, 342)(129, 283)(130, 354)(131, 355)(132, 286)(133, 338)(134, 339)(135, 340)(136, 341)(137, 343)(138, 344)(139, 294)(140, 308)(141, 310)(142, 311)(143, 312)(144, 298)(145, 303)(146, 305)(147, 306)(148, 367)(149, 366)(150, 362)(151, 307)(152, 369)(153, 370)(154, 361)(155, 363)(156, 364)(157, 319)(158, 321)(159, 320)(160, 322)(161, 375)(162, 373)(163, 376)(164, 323)(165, 328)(166, 327)(167, 377)(168, 330)(169, 349)(170, 351)(171, 335)(172, 378)(173, 379)(174, 357)(175, 358)(176, 359)(177, 360)(178, 382)(179, 345)(180, 348)(181, 352)(182, 353)(183, 383)(184, 356)(185, 381)(186, 372)(187, 384)(188, 365)(189, 368)(190, 371)(191, 374)(192, 380)
	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 E17.2192
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.2197 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^3 * T2 * T1)^2, (T1^-1 * T2 * T1^-1)^4, T1^12 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 64, 256)(35, 227, 67, 259)(37, 229, 70, 262)(38, 230, 72, 264)(40, 232, 75, 267)(41, 233, 77, 269)(42, 234, 73, 265)(44, 236, 59, 251)(45, 237, 81, 273)(47, 239, 83, 275)(48, 240, 84, 276)(49, 241, 86, 278)(52, 244, 89, 281)(53, 245, 91, 283)(55, 247, 94, 286)(56, 248, 97, 289)(58, 250, 100, 292)(61, 253, 103, 295)(62, 254, 104, 296)(63, 255, 107, 299)(65, 257, 109, 301)(66, 258, 111, 303)(68, 260, 114, 306)(69, 261, 112, 304)(71, 263, 110, 302)(74, 266, 118, 310)(76, 268, 105, 297)(78, 270, 102, 294)(79, 271, 115, 307)(80, 272, 123, 315)(82, 274, 125, 317)(85, 277, 129, 321)(87, 279, 131, 323)(88, 280, 134, 326)(90, 282, 136, 328)(92, 284, 137, 329)(93, 285, 138, 330)(95, 287, 140, 332)(96, 288, 141, 333)(98, 290, 144, 336)(99, 291, 142, 334)(101, 293, 145, 337)(106, 298, 150, 342)(108, 300, 153, 345)(113, 305, 155, 347)(116, 308, 154, 346)(117, 309, 147, 339)(119, 311, 152, 344)(120, 312, 158, 350)(121, 313, 148, 340)(122, 314, 156, 348)(124, 316, 160, 352)(126, 318, 162, 354)(127, 319, 163, 355)(128, 320, 165, 357)(130, 322, 167, 359)(132, 324, 169, 361)(133, 325, 170, 362)(135, 327, 172, 364)(139, 331, 173, 365)(143, 335, 174, 366)(146, 338, 175, 367)(149, 341, 178, 370)(151, 343, 179, 371)(157, 349, 180, 372)(159, 351, 181, 373)(161, 353, 182, 374)(164, 356, 184, 376)(166, 358, 186, 378)(168, 360, 187, 379)(171, 363, 188, 380)(176, 368, 189, 381)(177, 369, 190, 382)(183, 375, 191, 383)(185, 377, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 253)(33, 255)(34, 208)(35, 258)(36, 260)(37, 210)(38, 263)(39, 265)(40, 212)(41, 268)(42, 213)(43, 270)(44, 214)(45, 272)(46, 229)(47, 232)(48, 216)(49, 234)(50, 221)(51, 280)(52, 218)(53, 235)(54, 284)(55, 220)(56, 288)(57, 290)(58, 222)(59, 293)(60, 287)(61, 278)(62, 224)(63, 298)(64, 300)(65, 226)(66, 292)(67, 304)(68, 281)(69, 228)(70, 276)(71, 307)(72, 285)(73, 309)(74, 231)(75, 291)(76, 312)(77, 283)(78, 314)(79, 236)(80, 271)(81, 250)(82, 238)(83, 243)(84, 320)(85, 240)(86, 261)(87, 242)(88, 325)(89, 327)(90, 244)(91, 324)(92, 267)(93, 246)(94, 331)(95, 247)(96, 328)(97, 334)(98, 321)(99, 249)(100, 317)(101, 318)(102, 252)(103, 256)(104, 340)(105, 254)(106, 262)(107, 329)(108, 344)(109, 346)(110, 257)(111, 343)(112, 323)(113, 259)(114, 342)(115, 322)(116, 264)(117, 319)(118, 349)(119, 266)(120, 315)(121, 269)(122, 316)(123, 282)(124, 273)(125, 353)(126, 274)(127, 275)(128, 356)(129, 358)(130, 277)(131, 360)(132, 279)(133, 359)(134, 306)(135, 354)(136, 352)(137, 286)(138, 310)(139, 301)(140, 296)(141, 305)(142, 355)(143, 289)(144, 303)(145, 302)(146, 294)(147, 295)(148, 369)(149, 297)(150, 368)(151, 299)(152, 370)(153, 365)(154, 367)(155, 366)(156, 308)(157, 373)(158, 311)(159, 313)(160, 351)(161, 338)(162, 341)(163, 375)(164, 337)(165, 336)(166, 348)(167, 350)(168, 332)(169, 330)(170, 335)(171, 326)(172, 333)(173, 379)(174, 380)(175, 377)(176, 339)(177, 374)(178, 376)(179, 347)(180, 345)(181, 378)(182, 364)(183, 361)(184, 363)(185, 357)(186, 362)(187, 383)(188, 384)(189, 371)(190, 372)(191, 381)(192, 382)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2193
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2198 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 65, 257)(40, 232, 67, 259)(42, 234, 70, 262)(43, 235, 72, 264)(45, 237, 58, 250)(47, 239, 77, 269)(48, 240, 79, 271)(50, 242, 80, 272)(51, 243, 82, 274)(52, 244, 83, 275)(53, 245, 85, 277)(55, 247, 88, 280)(56, 248, 90, 282)(60, 252, 95, 287)(61, 253, 97, 289)(63, 255, 98, 290)(64, 256, 100, 292)(66, 258, 94, 286)(68, 260, 86, 278)(69, 261, 105, 297)(71, 263, 93, 285)(73, 265, 99, 291)(74, 266, 96, 288)(75, 267, 89, 281)(76, 268, 84, 276)(78, 270, 92, 284)(81, 273, 91, 283)(87, 279, 116, 308)(101, 293, 123, 315)(102, 294, 124, 316)(103, 295, 125, 317)(104, 296, 126, 318)(106, 298, 129, 321)(107, 299, 130, 322)(108, 300, 131, 323)(109, 301, 132, 324)(110, 302, 128, 320)(111, 303, 127, 319)(112, 304, 133, 325)(113, 305, 134, 326)(114, 306, 135, 327)(115, 307, 136, 328)(117, 309, 139, 331)(118, 310, 140, 332)(119, 311, 141, 333)(120, 312, 142, 334)(121, 313, 138, 330)(122, 314, 137, 329)(143, 335, 161, 353)(144, 336, 162, 354)(145, 337, 163, 355)(146, 338, 164, 356)(147, 339, 165, 357)(148, 340, 166, 358)(149, 341, 167, 359)(150, 342, 168, 360)(151, 343, 160, 352)(152, 344, 169, 361)(153, 345, 170, 362)(154, 346, 171, 363)(155, 347, 172, 364)(156, 348, 173, 365)(157, 349, 174, 366)(158, 350, 175, 367)(159, 351, 176, 368)(177, 369, 188, 380)(178, 370, 189, 381)(179, 371, 192, 384)(180, 372, 185, 377)(181, 373, 186, 378)(182, 374, 191, 383)(183, 375, 190, 382)(184, 376, 187, 379)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 450, 642, 424, 616)(409, 601, 426, 618, 455, 647, 427, 619)(412, 604, 431, 623, 462, 654, 432, 624)(414, 606, 434, 626, 465, 657, 435, 627)(415, 607, 436, 628, 468, 660, 437, 629)(417, 609, 439, 631, 473, 665, 440, 632)(420, 612, 444, 636, 480, 672, 445, 637)(422, 614, 447, 639, 483, 675, 448, 640)(425, 617, 452, 644, 433, 625, 453, 645)(428, 620, 457, 649, 494, 686, 458, 650)(430, 622, 459, 651, 495, 687, 460, 652)(438, 630, 470, 662, 446, 638, 471, 663)(441, 633, 475, 667, 505, 697, 476, 668)(443, 635, 477, 669, 506, 698, 478, 670)(449, 641, 485, 677, 466, 658, 486, 678)(451, 643, 487, 679, 464, 656, 488, 680)(454, 646, 490, 682, 463, 655, 491, 683)(456, 648, 492, 684, 461, 653, 493, 685)(467, 659, 496, 688, 484, 676, 497, 689)(469, 661, 498, 690, 482, 674, 499, 691)(472, 664, 501, 693, 481, 673, 502, 694)(474, 666, 503, 695, 479, 671, 504, 696)(489, 681, 511, 703, 535, 727, 512, 704)(500, 692, 521, 713, 544, 736, 522, 714)(507, 699, 527, 719, 516, 708, 528, 720)(508, 700, 529, 721, 515, 707, 530, 722)(509, 701, 531, 723, 514, 706, 532, 724)(510, 702, 533, 725, 513, 705, 534, 726)(517, 709, 536, 728, 526, 718, 537, 729)(518, 710, 538, 730, 525, 717, 539, 731)(519, 711, 540, 732, 524, 716, 541, 733)(520, 712, 542, 734, 523, 715, 543, 735)(545, 737, 561, 753, 552, 744, 562, 754)(546, 738, 563, 755, 551, 743, 564, 756)(547, 739, 565, 757, 550, 742, 566, 758)(548, 740, 567, 759, 549, 741, 568, 760)(553, 745, 569, 761, 560, 752, 570, 762)(554, 746, 571, 763, 559, 751, 572, 764)(555, 747, 573, 765, 558, 750, 574, 766)(556, 748, 575, 767, 557, 749, 576, 768)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 449)(40, 451)(41, 408)(42, 454)(43, 456)(44, 410)(45, 442)(46, 411)(47, 461)(48, 463)(49, 413)(50, 464)(51, 466)(52, 467)(53, 469)(54, 416)(55, 472)(56, 474)(57, 418)(58, 429)(59, 419)(60, 479)(61, 481)(62, 421)(63, 482)(64, 484)(65, 423)(66, 478)(67, 424)(68, 470)(69, 489)(70, 426)(71, 477)(72, 427)(73, 483)(74, 480)(75, 473)(76, 468)(77, 431)(78, 476)(79, 432)(80, 434)(81, 475)(82, 435)(83, 436)(84, 460)(85, 437)(86, 452)(87, 500)(88, 439)(89, 459)(90, 440)(91, 465)(92, 462)(93, 455)(94, 450)(95, 444)(96, 458)(97, 445)(98, 447)(99, 457)(100, 448)(101, 507)(102, 508)(103, 509)(104, 510)(105, 453)(106, 513)(107, 514)(108, 515)(109, 516)(110, 512)(111, 511)(112, 517)(113, 518)(114, 519)(115, 520)(116, 471)(117, 523)(118, 524)(119, 525)(120, 526)(121, 522)(122, 521)(123, 485)(124, 486)(125, 487)(126, 488)(127, 495)(128, 494)(129, 490)(130, 491)(131, 492)(132, 493)(133, 496)(134, 497)(135, 498)(136, 499)(137, 506)(138, 505)(139, 501)(140, 502)(141, 503)(142, 504)(143, 545)(144, 546)(145, 547)(146, 548)(147, 549)(148, 550)(149, 551)(150, 552)(151, 544)(152, 553)(153, 554)(154, 555)(155, 556)(156, 557)(157, 558)(158, 559)(159, 560)(160, 535)(161, 527)(162, 528)(163, 529)(164, 530)(165, 531)(166, 532)(167, 533)(168, 534)(169, 536)(170, 537)(171, 538)(172, 539)(173, 540)(174, 541)(175, 542)(176, 543)(177, 572)(178, 573)(179, 576)(180, 569)(181, 570)(182, 575)(183, 574)(184, 571)(185, 564)(186, 565)(187, 568)(188, 561)(189, 562)(190, 567)(191, 566)(192, 563)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2201
Graph:: bipartite
	v = 144 e = 384 f = 208
	degree seq :: [ 4^96, 8^48 ]

E17.2199 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1^-1 * Y2^-1)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^3 * Y1^-1)^2, (Y2 * Y1^-1)^4, Y2^12 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 60, 252, 29, 221)(17, 209, 37, 229, 71, 263, 39, 231)(20, 212, 43, 235, 78, 270, 41, 233)(22, 214, 47, 239, 82, 274, 45, 237)(24, 216, 51, 243, 79, 271, 44, 236)(26, 218, 46, 238, 66, 258, 42, 234)(27, 219, 55, 247, 93, 285, 57, 249)(30, 222, 58, 250, 68, 260, 40, 232)(32, 224, 56, 248, 95, 287, 61, 253)(33, 225, 63, 255, 101, 293, 65, 257)(36, 228, 69, 261, 108, 300, 67, 259)(38, 230, 73, 265, 109, 301, 70, 262)(48, 240, 64, 256, 103, 295, 84, 276)(50, 242, 77, 269, 117, 309, 87, 279)(52, 244, 80, 272, 104, 296, 86, 278)(53, 245, 88, 280, 123, 315, 85, 277)(54, 246, 75, 267, 112, 304, 92, 284)(59, 251, 97, 289, 132, 324, 94, 286)(62, 254, 74, 266, 110, 302, 96, 288)(72, 264, 107, 299, 145, 337, 111, 303)(76, 268, 105, 297, 140, 332, 116, 308)(81, 273, 121, 313, 139, 331, 102, 294)(83, 275, 124, 316, 144, 336, 106, 298)(89, 281, 122, 314, 141, 333, 118, 310)(90, 282, 125, 317, 142, 334, 119, 311)(91, 283, 126, 318, 158, 350, 129, 321)(98, 290, 133, 325, 146, 338, 113, 305)(99, 291, 134, 326, 147, 339, 114, 306)(100, 292, 137, 329, 151, 343, 115, 307)(120, 312, 155, 347, 171, 363, 143, 335)(127, 319, 154, 346, 169, 361, 157, 349)(128, 320, 150, 342, 170, 362, 159, 351)(130, 322, 162, 354, 181, 373, 160, 352)(131, 323, 163, 355, 184, 376, 164, 356)(135, 327, 148, 340, 175, 367, 166, 358)(136, 328, 149, 341, 174, 366, 165, 357)(138, 330, 152, 344, 177, 369, 168, 360)(153, 345, 178, 370, 190, 382, 179, 371)(156, 348, 172, 364, 186, 378, 180, 372)(161, 353, 183, 375, 191, 383, 182, 374)(167, 359, 185, 377, 189, 381, 176, 368)(173, 365, 187, 379, 192, 384, 188, 380)(385, 577, 387, 579, 394, 586, 408, 600, 436, 628, 475, 667, 515, 707, 484, 676, 446, 638, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 458, 650, 499, 691, 537, 729, 504, 696, 464, 656, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 440, 632, 480, 672, 519, 711, 545, 737, 510, 702, 470, 662, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 448, 640, 488, 680, 527, 719, 557, 749, 532, 724, 494, 686, 454, 646, 420, 612, 400, 592)(395, 587, 410, 602, 438, 630, 415, 607, 445, 637, 483, 675, 522, 714, 547, 739, 513, 705, 473, 665, 434, 626, 407, 599)(397, 589, 413, 605, 443, 635, 482, 674, 521, 713, 548, 740, 514, 706, 474, 666, 435, 627, 409, 601, 437, 629, 414, 606)(402, 594, 424, 616, 460, 652, 427, 619, 463, 655, 503, 695, 540, 732, 562, 754, 535, 727, 497, 689, 456, 648, 421, 613)(403, 595, 425, 617, 461, 653, 502, 694, 539, 731, 563, 755, 536, 728, 498, 690, 457, 649, 423, 615, 459, 651, 426, 618)(405, 597, 429, 621, 465, 657, 506, 698, 542, 734, 566, 758, 551, 743, 518, 710, 479, 671, 441, 633, 467, 659, 430, 622)(412, 604, 442, 634, 469, 661, 431, 623, 468, 660, 509, 701, 544, 736, 567, 759, 550, 742, 517, 709, 478, 670, 439, 631)(418, 610, 450, 642, 490, 682, 453, 645, 493, 685, 531, 723, 560, 752, 571, 763, 555, 747, 525, 717, 486, 678, 447, 639)(419, 611, 451, 643, 491, 683, 530, 722, 559, 751, 572, 764, 556, 748, 526, 718, 487, 679, 449, 641, 489, 681, 452, 644)(433, 625, 471, 663, 511, 703, 546, 738, 568, 760, 552, 744, 520, 712, 481, 673, 444, 636, 476, 668, 512, 704, 472, 664)(455, 647, 495, 687, 533, 725, 561, 753, 574, 766, 564, 756, 538, 730, 501, 693, 462, 654, 500, 692, 534, 726, 496, 688)(466, 658, 507, 699, 543, 735, 508, 700, 477, 669, 516, 708, 549, 741, 569, 761, 575, 767, 565, 757, 541, 733, 505, 697)(485, 677, 523, 715, 553, 745, 570, 762, 576, 768, 573, 765, 558, 750, 529, 721, 492, 684, 528, 720, 554, 746, 524, 716)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 437)(26, 438)(27, 440)(28, 442)(29, 443)(30, 397)(31, 445)(32, 398)(33, 448)(34, 450)(35, 451)(36, 400)(37, 402)(38, 458)(39, 459)(40, 460)(41, 461)(42, 403)(43, 463)(44, 404)(45, 465)(46, 405)(47, 468)(48, 406)(49, 471)(50, 407)(51, 409)(52, 475)(53, 414)(54, 415)(55, 412)(56, 480)(57, 467)(58, 469)(59, 482)(60, 476)(61, 483)(62, 416)(63, 418)(64, 488)(65, 489)(66, 490)(67, 491)(68, 419)(69, 493)(70, 420)(71, 495)(72, 421)(73, 423)(74, 499)(75, 426)(76, 427)(77, 502)(78, 500)(79, 503)(80, 428)(81, 506)(82, 507)(83, 430)(84, 509)(85, 431)(86, 432)(87, 511)(88, 433)(89, 434)(90, 435)(91, 515)(92, 512)(93, 516)(94, 439)(95, 441)(96, 519)(97, 444)(98, 521)(99, 522)(100, 446)(101, 523)(102, 447)(103, 449)(104, 527)(105, 452)(106, 453)(107, 530)(108, 528)(109, 531)(110, 454)(111, 533)(112, 455)(113, 456)(114, 457)(115, 537)(116, 534)(117, 462)(118, 539)(119, 540)(120, 464)(121, 466)(122, 542)(123, 543)(124, 477)(125, 544)(126, 470)(127, 546)(128, 472)(129, 473)(130, 474)(131, 484)(132, 549)(133, 478)(134, 479)(135, 545)(136, 481)(137, 548)(138, 547)(139, 553)(140, 485)(141, 486)(142, 487)(143, 557)(144, 554)(145, 492)(146, 559)(147, 560)(148, 494)(149, 561)(150, 496)(151, 497)(152, 498)(153, 504)(154, 501)(155, 563)(156, 562)(157, 505)(158, 566)(159, 508)(160, 567)(161, 510)(162, 568)(163, 513)(164, 514)(165, 569)(166, 517)(167, 518)(168, 520)(169, 570)(170, 524)(171, 525)(172, 526)(173, 532)(174, 529)(175, 572)(176, 571)(177, 574)(178, 535)(179, 536)(180, 538)(181, 541)(182, 551)(183, 550)(184, 552)(185, 575)(186, 576)(187, 555)(188, 556)(189, 558)(190, 564)(191, 565)(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) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 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 E17.2200
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 8^48, 24^16 ]

E17.2200 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3)^4, (Y3^-1 * Y2 * Y3^-3)^2, (Y3^-1 * Y2 * Y3^-1)^4, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 443, 635)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 450, 642)(421, 613, 442, 634)(423, 615, 457, 649)(424, 616, 459, 651)(425, 617, 460, 652)(426, 618, 455, 647)(428, 620, 435, 627)(429, 621, 464, 656)(431, 623, 468, 660)(432, 624, 467, 659)(433, 625, 471, 663)(437, 629, 478, 670)(438, 630, 480, 672)(439, 631, 481, 673)(440, 632, 476, 668)(444, 636, 487, 679)(445, 637, 488, 680)(448, 640, 479, 671)(449, 641, 470, 662)(451, 643, 482, 674)(452, 644, 495, 687)(453, 645, 483, 675)(454, 646, 493, 685)(456, 648, 500, 692)(458, 650, 469, 661)(461, 653, 472, 664)(462, 654, 474, 666)(463, 655, 503, 695)(465, 657, 509, 701)(466, 658, 510, 702)(473, 665, 517, 709)(475, 667, 515, 707)(477, 669, 522, 714)(484, 676, 525, 717)(485, 677, 507, 699)(486, 678, 529, 721)(489, 681, 523, 715)(490, 682, 521, 713)(491, 683, 524, 716)(492, 684, 531, 723)(494, 686, 526, 718)(496, 688, 533, 725)(497, 689, 534, 726)(498, 690, 538, 730)(499, 691, 512, 704)(501, 693, 511, 703)(502, 694, 513, 705)(504, 696, 516, 708)(505, 697, 541, 733)(506, 698, 542, 734)(508, 700, 544, 736)(514, 706, 546, 738)(518, 710, 548, 740)(519, 711, 549, 741)(520, 712, 553, 745)(527, 719, 556, 748)(528, 720, 557, 749)(530, 722, 559, 751)(532, 724, 555, 747)(535, 727, 562, 754)(536, 728, 561, 753)(537, 729, 560, 752)(539, 731, 564, 756)(540, 732, 547, 739)(543, 735, 565, 757)(545, 737, 566, 758)(550, 742, 569, 761)(551, 743, 568, 760)(552, 744, 567, 759)(554, 746, 571, 763)(558, 750, 572, 764)(563, 755, 574, 766)(570, 762, 576, 768)(573, 765, 575, 767)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 444)(32, 445)(33, 400)(34, 449)(35, 401)(36, 452)(37, 454)(38, 455)(39, 458)(40, 404)(41, 461)(42, 405)(43, 462)(44, 406)(45, 465)(46, 466)(47, 408)(48, 470)(49, 409)(50, 473)(51, 475)(52, 476)(53, 479)(54, 412)(55, 482)(56, 413)(57, 483)(58, 414)(59, 485)(60, 427)(61, 489)(62, 416)(63, 491)(64, 417)(65, 426)(66, 494)(67, 419)(68, 424)(69, 420)(70, 498)(71, 499)(72, 422)(73, 486)(74, 503)(75, 492)(76, 487)(77, 505)(78, 506)(79, 428)(80, 507)(81, 441)(82, 511)(83, 430)(84, 513)(85, 431)(86, 440)(87, 516)(88, 433)(89, 438)(90, 434)(91, 520)(92, 521)(93, 436)(94, 508)(95, 525)(96, 514)(97, 509)(98, 527)(99, 528)(100, 442)(101, 459)(102, 443)(103, 530)(104, 531)(105, 533)(106, 446)(107, 534)(108, 447)(109, 448)(110, 536)(111, 450)(112, 451)(113, 453)(114, 463)(115, 537)(116, 540)(117, 456)(118, 457)(119, 539)(120, 460)(121, 538)(122, 535)(123, 480)(124, 464)(125, 545)(126, 546)(127, 548)(128, 467)(129, 549)(130, 468)(131, 469)(132, 551)(133, 471)(134, 472)(135, 474)(136, 484)(137, 552)(138, 555)(139, 477)(140, 478)(141, 554)(142, 481)(143, 553)(144, 550)(145, 500)(146, 490)(147, 560)(148, 488)(149, 562)(150, 563)(151, 493)(152, 564)(153, 495)(154, 496)(155, 497)(156, 565)(157, 501)(158, 502)(159, 504)(160, 522)(161, 512)(162, 567)(163, 510)(164, 569)(165, 570)(166, 515)(167, 571)(168, 517)(169, 518)(170, 519)(171, 572)(172, 523)(173, 524)(174, 526)(175, 529)(176, 573)(177, 532)(178, 543)(179, 542)(180, 541)(181, 574)(182, 544)(183, 575)(184, 547)(185, 558)(186, 557)(187, 556)(188, 576)(189, 559)(190, 561)(191, 566)(192, 568)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2199
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2201 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, (Y3^-1 * Y1^-1)^4, Y1^3 * Y3 * Y1^4 * Y3^-1 * Y1, Y3 * Y1^2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y1^12 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 80, 272, 79, 271, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 101, 293, 126, 318, 82, 274, 46, 238, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 43, 235, 78, 270, 122, 314, 124, 316, 81, 273, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 71, 263, 115, 307, 130, 322, 85, 277, 48, 240, 24, 216, 47, 239, 40, 232, 20, 212)(12, 204, 25, 217, 49, 241, 42, 234, 21, 213, 41, 233, 76, 268, 120, 312, 123, 315, 90, 282, 52, 244, 26, 218)(16, 208, 33, 225, 63, 255, 106, 298, 70, 262, 84, 276, 128, 320, 164, 356, 145, 337, 110, 302, 65, 257, 34, 226)(17, 209, 35, 227, 66, 258, 100, 292, 125, 317, 161, 353, 146, 338, 102, 294, 60, 252, 95, 287, 55, 247, 28, 220)(29, 221, 56, 248, 96, 288, 136, 328, 160, 352, 159, 351, 121, 313, 77, 269, 91, 283, 132, 324, 87, 279, 50, 242)(32, 224, 61, 253, 86, 278, 69, 261, 36, 228, 68, 260, 89, 281, 135, 327, 162, 354, 149, 341, 105, 297, 62, 254)(39, 231, 73, 265, 117, 309, 127, 319, 83, 275, 51, 243, 88, 280, 133, 325, 167, 359, 158, 350, 119, 311, 74, 266)(54, 246, 92, 284, 75, 267, 99, 291, 57, 249, 98, 290, 129, 321, 166, 358, 156, 348, 116, 308, 72, 264, 93, 285)(64, 256, 108, 300, 152, 344, 178, 370, 184, 376, 171, 363, 134, 326, 114, 306, 150, 342, 176, 368, 147, 339, 103, 295)(67, 259, 112, 304, 131, 323, 168, 360, 140, 332, 104, 296, 148, 340, 177, 369, 182, 374, 172, 364, 141, 333, 113, 305)(94, 286, 139, 331, 109, 301, 154, 346, 175, 367, 185, 377, 165, 357, 144, 336, 111, 303, 151, 343, 107, 299, 137, 329)(97, 289, 142, 334, 163, 355, 183, 375, 169, 361, 138, 330, 118, 310, 157, 349, 181, 373, 186, 378, 170, 362, 143, 335)(153, 345, 173, 365, 187, 379, 191, 383, 189, 381, 179, 371, 155, 347, 174, 366, 188, 380, 192, 384, 190, 382, 180, 372)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 448)(35, 451)(36, 402)(37, 454)(38, 456)(39, 403)(40, 459)(41, 461)(42, 457)(43, 406)(44, 443)(45, 465)(46, 407)(47, 467)(48, 468)(49, 470)(50, 409)(51, 410)(52, 473)(53, 475)(54, 411)(55, 478)(56, 481)(57, 414)(58, 484)(59, 428)(60, 415)(61, 487)(62, 488)(63, 491)(64, 418)(65, 493)(66, 495)(67, 419)(68, 498)(69, 496)(70, 421)(71, 494)(72, 422)(73, 426)(74, 502)(75, 424)(76, 489)(77, 425)(78, 486)(79, 499)(80, 507)(81, 429)(82, 509)(83, 431)(84, 432)(85, 513)(86, 433)(87, 515)(88, 518)(89, 436)(90, 520)(91, 437)(92, 521)(93, 522)(94, 439)(95, 524)(96, 525)(97, 440)(98, 528)(99, 526)(100, 442)(101, 529)(102, 462)(103, 445)(104, 446)(105, 460)(106, 534)(107, 447)(108, 537)(109, 449)(110, 455)(111, 450)(112, 453)(113, 539)(114, 452)(115, 463)(116, 538)(117, 531)(118, 458)(119, 536)(120, 542)(121, 532)(122, 540)(123, 464)(124, 544)(125, 466)(126, 546)(127, 547)(128, 549)(129, 469)(130, 551)(131, 471)(132, 553)(133, 554)(134, 472)(135, 556)(136, 474)(137, 476)(138, 477)(139, 557)(140, 479)(141, 480)(142, 483)(143, 558)(144, 482)(145, 485)(146, 559)(147, 501)(148, 505)(149, 562)(150, 490)(151, 563)(152, 503)(153, 492)(154, 500)(155, 497)(156, 506)(157, 564)(158, 504)(159, 565)(160, 508)(161, 566)(162, 510)(163, 511)(164, 568)(165, 512)(166, 570)(167, 514)(168, 571)(169, 516)(170, 517)(171, 572)(172, 519)(173, 523)(174, 527)(175, 530)(176, 573)(177, 574)(178, 533)(179, 535)(180, 541)(181, 543)(182, 545)(183, 575)(184, 548)(185, 576)(186, 550)(187, 552)(188, 555)(189, 560)(190, 561)(191, 567)(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) :: { ( 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 E17.2198
Graph:: simple bipartite
	v = 208 e = 384 f = 144
	degree seq :: [ 2^192, 24^16 ]

E17.2202 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2)^4, (Y3 * Y2^-1)^4, (Y2^-3 * Y1 * Y2^-1)^2, Y2^-2 * R * Y2^4 * R * Y2^-2, (Y2^-1 * Y1 * Y2^-1)^4, Y2^12 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 59, 251)(33, 225, 63, 255)(34, 226, 62, 254)(35, 227, 66, 258)(37, 229, 58, 250)(39, 231, 73, 265)(40, 232, 75, 267)(41, 233, 76, 268)(42, 234, 71, 263)(44, 236, 51, 243)(45, 237, 80, 272)(47, 239, 84, 276)(48, 240, 83, 275)(49, 241, 87, 279)(53, 245, 94, 286)(54, 246, 96, 288)(55, 247, 97, 289)(56, 248, 92, 284)(60, 252, 103, 295)(61, 253, 104, 296)(64, 256, 95, 287)(65, 257, 86, 278)(67, 259, 98, 290)(68, 260, 111, 303)(69, 261, 99, 291)(70, 262, 109, 301)(72, 264, 116, 308)(74, 266, 85, 277)(77, 269, 88, 280)(78, 270, 90, 282)(79, 271, 119, 311)(81, 273, 125, 317)(82, 274, 126, 318)(89, 281, 133, 325)(91, 283, 131, 323)(93, 285, 138, 330)(100, 292, 141, 333)(101, 293, 123, 315)(102, 294, 145, 337)(105, 297, 139, 331)(106, 298, 137, 329)(107, 299, 140, 332)(108, 300, 147, 339)(110, 302, 142, 334)(112, 304, 149, 341)(113, 305, 150, 342)(114, 306, 154, 346)(115, 307, 128, 320)(117, 309, 127, 319)(118, 310, 129, 321)(120, 312, 132, 324)(121, 313, 157, 349)(122, 314, 158, 350)(124, 316, 160, 352)(130, 322, 162, 354)(134, 326, 164, 356)(135, 327, 165, 357)(136, 328, 169, 361)(143, 335, 172, 364)(144, 336, 173, 365)(146, 338, 175, 367)(148, 340, 171, 363)(151, 343, 178, 370)(152, 344, 177, 369)(153, 345, 176, 368)(155, 347, 180, 372)(156, 348, 163, 355)(159, 351, 181, 373)(161, 353, 182, 374)(166, 358, 185, 377)(167, 359, 184, 376)(168, 360, 183, 375)(170, 362, 187, 379)(174, 366, 188, 380)(179, 371, 190, 382)(186, 378, 192, 384)(189, 381, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 454, 646, 498, 690, 463, 655, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 475, 667, 520, 712, 484, 676, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 444, 636, 427, 619, 462, 654, 506, 698, 535, 727, 493, 685, 448, 640, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 458, 650, 503, 695, 539, 731, 497, 689, 453, 645, 420, 612, 452, 644, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 465, 657, 441, 633, 483, 675, 528, 720, 550, 742, 515, 707, 469, 661, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 479, 671, 525, 717, 554, 746, 519, 711, 474, 666, 434, 626, 473, 665, 438, 630, 412, 604)(401, 593, 418, 610, 449, 641, 426, 618, 405, 597, 425, 617, 461, 653, 505, 697, 538, 730, 496, 688, 451, 643, 419, 611)(409, 601, 432, 624, 470, 662, 440, 632, 413, 605, 439, 631, 482, 674, 527, 719, 553, 745, 518, 710, 472, 664, 433, 625)(416, 608, 445, 637, 489, 681, 533, 725, 562, 754, 543, 735, 504, 696, 460, 652, 487, 679, 530, 722, 490, 682, 446, 638)(422, 614, 455, 647, 499, 691, 537, 729, 495, 687, 450, 642, 494, 686, 536, 728, 564, 756, 541, 733, 501, 693, 456, 648)(430, 622, 466, 658, 511, 703, 548, 740, 569, 761, 558, 750, 526, 718, 481, 673, 509, 701, 545, 737, 512, 704, 467, 659)(436, 628, 476, 668, 521, 713, 552, 744, 517, 709, 471, 663, 516, 708, 551, 743, 571, 763, 556, 748, 523, 715, 477, 669)(443, 635, 485, 677, 459, 651, 492, 684, 447, 639, 491, 683, 534, 726, 563, 755, 542, 734, 502, 694, 457, 649, 486, 678)(464, 656, 507, 699, 480, 672, 514, 706, 468, 660, 513, 705, 549, 741, 570, 762, 557, 749, 524, 716, 478, 670, 508, 700)(488, 680, 531, 723, 560, 752, 573, 765, 559, 751, 529, 721, 500, 692, 540, 732, 565, 757, 574, 766, 561, 753, 532, 724)(510, 702, 546, 738, 567, 759, 575, 767, 566, 758, 544, 736, 522, 714, 555, 747, 572, 764, 576, 768, 568, 760, 547, 739)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 443)(32, 400)(33, 447)(34, 446)(35, 450)(36, 402)(37, 442)(38, 403)(39, 457)(40, 459)(41, 460)(42, 455)(43, 406)(44, 435)(45, 464)(46, 408)(47, 468)(48, 467)(49, 471)(50, 410)(51, 428)(52, 411)(53, 478)(54, 480)(55, 481)(56, 476)(57, 414)(58, 421)(59, 415)(60, 487)(61, 488)(62, 418)(63, 417)(64, 479)(65, 470)(66, 419)(67, 482)(68, 495)(69, 483)(70, 493)(71, 426)(72, 500)(73, 423)(74, 469)(75, 424)(76, 425)(77, 472)(78, 474)(79, 503)(80, 429)(81, 509)(82, 510)(83, 432)(84, 431)(85, 458)(86, 449)(87, 433)(88, 461)(89, 517)(90, 462)(91, 515)(92, 440)(93, 522)(94, 437)(95, 448)(96, 438)(97, 439)(98, 451)(99, 453)(100, 525)(101, 507)(102, 529)(103, 444)(104, 445)(105, 523)(106, 521)(107, 524)(108, 531)(109, 454)(110, 526)(111, 452)(112, 533)(113, 534)(114, 538)(115, 512)(116, 456)(117, 511)(118, 513)(119, 463)(120, 516)(121, 541)(122, 542)(123, 485)(124, 544)(125, 465)(126, 466)(127, 501)(128, 499)(129, 502)(130, 546)(131, 475)(132, 504)(133, 473)(134, 548)(135, 549)(136, 553)(137, 490)(138, 477)(139, 489)(140, 491)(141, 484)(142, 494)(143, 556)(144, 557)(145, 486)(146, 559)(147, 492)(148, 555)(149, 496)(150, 497)(151, 562)(152, 561)(153, 560)(154, 498)(155, 564)(156, 547)(157, 505)(158, 506)(159, 565)(160, 508)(161, 566)(162, 514)(163, 540)(164, 518)(165, 519)(166, 569)(167, 568)(168, 567)(169, 520)(170, 571)(171, 532)(172, 527)(173, 528)(174, 572)(175, 530)(176, 537)(177, 536)(178, 535)(179, 574)(180, 539)(181, 543)(182, 545)(183, 552)(184, 551)(185, 550)(186, 576)(187, 554)(188, 558)(189, 575)(190, 563)(191, 573)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2203
Graph:: bipartite
	v = 112 e = 384 f = 240
	degree seq :: [ 4^96, 24^16 ]

E17.2203 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C3 x (((C4 x C2) : C2) : C2)) : C2 (small group id <192, 33>)
Aut   = $<384, 1706>$ (small group id <384, 1706>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-3 * Y1)^2, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 60, 252, 29, 221)(17, 209, 37, 229, 71, 263, 39, 231)(20, 212, 43, 235, 78, 270, 41, 233)(22, 214, 47, 239, 82, 274, 45, 237)(24, 216, 51, 243, 79, 271, 44, 236)(26, 218, 46, 238, 66, 258, 42, 234)(27, 219, 55, 247, 93, 285, 57, 249)(30, 222, 58, 250, 68, 260, 40, 232)(32, 224, 56, 248, 95, 287, 61, 253)(33, 225, 63, 255, 101, 293, 65, 257)(36, 228, 69, 261, 108, 300, 67, 259)(38, 230, 73, 265, 109, 301, 70, 262)(48, 240, 64, 256, 103, 295, 84, 276)(50, 242, 77, 269, 117, 309, 87, 279)(52, 244, 80, 272, 104, 296, 86, 278)(53, 245, 88, 280, 123, 315, 85, 277)(54, 246, 75, 267, 112, 304, 92, 284)(59, 251, 97, 289, 132, 324, 94, 286)(62, 254, 74, 266, 110, 302, 96, 288)(72, 264, 107, 299, 145, 337, 111, 303)(76, 268, 105, 297, 140, 332, 116, 308)(81, 273, 121, 313, 139, 331, 102, 294)(83, 275, 124, 316, 144, 336, 106, 298)(89, 281, 122, 314, 141, 333, 118, 310)(90, 282, 125, 317, 142, 334, 119, 311)(91, 283, 126, 318, 158, 350, 129, 321)(98, 290, 133, 325, 146, 338, 113, 305)(99, 291, 134, 326, 147, 339, 114, 306)(100, 292, 137, 329, 151, 343, 115, 307)(120, 312, 155, 347, 171, 363, 143, 335)(127, 319, 154, 346, 169, 361, 157, 349)(128, 320, 150, 342, 170, 362, 159, 351)(130, 322, 162, 354, 181, 373, 160, 352)(131, 323, 163, 355, 184, 376, 164, 356)(135, 327, 148, 340, 175, 367, 166, 358)(136, 328, 149, 341, 174, 366, 165, 357)(138, 330, 152, 344, 177, 369, 168, 360)(153, 345, 178, 370, 190, 382, 179, 371)(156, 348, 172, 364, 186, 378, 180, 372)(161, 353, 183, 375, 191, 383, 182, 374)(167, 359, 185, 377, 189, 381, 176, 368)(173, 365, 187, 379, 192, 384, 188, 380)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 437)(26, 438)(27, 440)(28, 442)(29, 443)(30, 397)(31, 445)(32, 398)(33, 448)(34, 450)(35, 451)(36, 400)(37, 402)(38, 458)(39, 459)(40, 460)(41, 461)(42, 403)(43, 463)(44, 404)(45, 465)(46, 405)(47, 468)(48, 406)(49, 471)(50, 407)(51, 409)(52, 475)(53, 414)(54, 415)(55, 412)(56, 480)(57, 467)(58, 469)(59, 482)(60, 476)(61, 483)(62, 416)(63, 418)(64, 488)(65, 489)(66, 490)(67, 491)(68, 419)(69, 493)(70, 420)(71, 495)(72, 421)(73, 423)(74, 499)(75, 426)(76, 427)(77, 502)(78, 500)(79, 503)(80, 428)(81, 506)(82, 507)(83, 430)(84, 509)(85, 431)(86, 432)(87, 511)(88, 433)(89, 434)(90, 435)(91, 515)(92, 512)(93, 516)(94, 439)(95, 441)(96, 519)(97, 444)(98, 521)(99, 522)(100, 446)(101, 523)(102, 447)(103, 449)(104, 527)(105, 452)(106, 453)(107, 530)(108, 528)(109, 531)(110, 454)(111, 533)(112, 455)(113, 456)(114, 457)(115, 537)(116, 534)(117, 462)(118, 539)(119, 540)(120, 464)(121, 466)(122, 542)(123, 543)(124, 477)(125, 544)(126, 470)(127, 546)(128, 472)(129, 473)(130, 474)(131, 484)(132, 549)(133, 478)(134, 479)(135, 545)(136, 481)(137, 548)(138, 547)(139, 553)(140, 485)(141, 486)(142, 487)(143, 557)(144, 554)(145, 492)(146, 559)(147, 560)(148, 494)(149, 561)(150, 496)(151, 497)(152, 498)(153, 504)(154, 501)(155, 563)(156, 562)(157, 505)(158, 566)(159, 508)(160, 567)(161, 510)(162, 568)(163, 513)(164, 514)(165, 569)(166, 517)(167, 518)(168, 520)(169, 570)(170, 524)(171, 525)(172, 526)(173, 532)(174, 529)(175, 572)(176, 571)(177, 574)(178, 535)(179, 536)(180, 538)(181, 541)(182, 551)(183, 550)(184, 552)(185, 575)(186, 576)(187, 555)(188, 556)(189, 558)(190, 564)(191, 565)(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, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2202
Graph:: simple bipartite
	v = 240 e = 384 f = 112
	degree seq :: [ 2^192, 8^48 ]

E17.2204 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, T1^12, (T2 * T1^-2)^4, T1^-4 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 85, 84, 44, 22, 10, 4)(3, 7, 15, 31, 59, 111, 140, 126, 71, 37, 18, 8)(6, 13, 27, 53, 99, 161, 139, 168, 110, 58, 30, 14)(9, 19, 38, 72, 127, 142, 86, 141, 124, 77, 40, 20)(12, 25, 49, 93, 151, 119, 83, 138, 160, 98, 52, 26)(16, 33, 63, 90, 51, 96, 155, 179, 175, 120, 65, 34)(17, 35, 66, 91, 148, 183, 169, 134, 79, 104, 55, 28)(21, 41, 78, 132, 145, 88, 46, 87, 143, 135, 80, 42)(24, 47, 89, 146, 137, 82, 43, 81, 136, 150, 92, 48)(29, 56, 105, 144, 180, 178, 130, 75, 39, 74, 95, 50)(32, 61, 114, 147, 108, 57, 107, 167, 181, 173, 116, 62)(36, 68, 123, 149, 185, 170, 112, 73, 128, 153, 94, 69)(54, 101, 76, 131, 158, 97, 157, 188, 177, 133, 163, 102)(60, 100, 152, 182, 176, 125, 70, 109, 159, 186, 171, 113)(64, 118, 174, 189, 191, 187, 156, 122, 67, 121, 154, 115)(103, 164, 129, 172, 190, 192, 184, 166, 106, 165, 117, 162)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 90)(48, 91)(49, 94)(52, 97)(53, 100)(55, 103)(56, 106)(58, 109)(59, 112)(61, 115)(62, 99)(63, 117)(65, 119)(66, 87)(68, 124)(69, 121)(71, 107)(72, 113)(75, 129)(77, 125)(78, 133)(80, 114)(81, 120)(82, 104)(84, 139)(85, 140)(88, 144)(89, 147)(92, 149)(93, 152)(95, 154)(96, 156)(98, 159)(101, 162)(102, 151)(105, 141)(108, 165)(110, 157)(111, 169)(116, 172)(118, 163)(122, 158)(123, 166)(126, 155)(127, 177)(128, 164)(130, 161)(131, 143)(132, 171)(134, 174)(135, 176)(136, 173)(137, 153)(138, 178)(142, 179)(145, 181)(146, 182)(148, 184)(150, 186)(160, 185)(167, 187)(168, 183)(170, 189)(175, 190)(180, 191)(188, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2205
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.2205 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^4, T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 84, 69)(43, 70, 85, 71)(45, 73, 87, 74)(46, 75, 88, 76)(60, 92, 78, 93)(61, 94, 79, 95)(63, 97, 81, 98)(64, 99, 82, 100)(65, 91, 114, 96)(66, 101, 123, 102)(67, 103, 72, 90)(89, 112, 133, 113)(104, 125, 108, 126)(105, 127, 109, 128)(106, 129, 110, 130)(107, 131, 111, 132)(115, 135, 119, 136)(116, 137, 120, 138)(117, 139, 121, 140)(118, 141, 122, 142)(124, 134, 152, 143)(144, 161, 148, 162)(145, 163, 149, 164)(146, 165, 150, 166)(147, 167, 151, 168)(153, 169, 157, 170)(154, 171, 158, 172)(155, 173, 159, 174)(156, 175, 160, 176)(177, 185, 181, 189)(178, 187, 182, 191)(179, 186, 183, 190)(180, 188, 184, 192)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 104)(69, 105)(70, 106)(71, 107)(73, 108)(74, 109)(75, 110)(76, 111)(77, 101)(80, 102)(83, 112)(86, 113)(92, 115)(93, 116)(94, 117)(95, 118)(97, 119)(98, 120)(99, 121)(100, 122)(103, 124)(114, 134)(123, 143)(125, 144)(126, 145)(127, 146)(128, 147)(129, 148)(130, 149)(131, 150)(132, 151)(133, 152)(135, 153)(136, 154)(137, 155)(138, 156)(139, 157)(140, 158)(141, 159)(142, 160)(161, 177)(162, 178)(163, 179)(164, 180)(165, 181)(166, 182)(167, 183)(168, 184)(169, 185)(170, 186)(171, 187)(172, 188)(173, 189)(174, 190)(175, 191)(176, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2204
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.2206 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 110, 74)(46, 75, 111, 76)(54, 86, 62, 87)(57, 91, 121, 92)(59, 93, 122, 94)(65, 101, 77, 102)(67, 103, 79, 104)(70, 106, 80, 107)(72, 108, 82, 109)(83, 112, 95, 113)(85, 114, 97, 115)(88, 117, 98, 118)(90, 119, 100, 120)(105, 127, 151, 128)(116, 137, 160, 138)(123, 143, 129, 144)(124, 145, 130, 146)(125, 147, 131, 148)(126, 149, 132, 150)(133, 152, 139, 153)(134, 154, 140, 155)(135, 156, 141, 157)(136, 158, 142, 159)(161, 177, 165, 178)(162, 179, 166, 180)(163, 181, 167, 182)(164, 183, 168, 184)(169, 185, 173, 186)(170, 187, 174, 188)(171, 189, 175, 190)(172, 191, 176, 192)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 257)(232, 259)(234, 262)(235, 264)(237, 250)(239, 269)(240, 271)(242, 272)(243, 274)(244, 275)(245, 277)(247, 280)(248, 282)(252, 287)(253, 289)(255, 290)(256, 292)(258, 283)(260, 297)(261, 279)(263, 284)(265, 276)(266, 281)(267, 288)(268, 291)(270, 285)(273, 286)(278, 308)(293, 315)(294, 316)(295, 317)(296, 318)(298, 321)(299, 322)(300, 323)(301, 324)(302, 319)(303, 320)(304, 325)(305, 326)(306, 327)(307, 328)(309, 331)(310, 332)(311, 333)(312, 334)(313, 329)(314, 330)(335, 353)(336, 354)(337, 355)(338, 356)(339, 357)(340, 358)(341, 359)(342, 360)(343, 352)(344, 361)(345, 362)(346, 363)(347, 364)(348, 365)(349, 366)(350, 367)(351, 368)(369, 377)(370, 381)(371, 379)(372, 383)(373, 378)(374, 382)(375, 380)(376, 384)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2210
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.2207 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1^-1)^4, T2^3 * T1^-2 * T2^-2 * T1 * T2 * T1^-1, (T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1)^2, (T2^2 * T1^-1)^4, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 99, 148, 114, 66, 32, 14, 5)(2, 7, 17, 38, 78, 130, 166, 140, 88, 44, 20, 8)(4, 12, 27, 57, 105, 150, 173, 143, 93, 48, 22, 9)(6, 15, 33, 68, 117, 157, 182, 161, 124, 74, 36, 16)(11, 26, 55, 102, 126, 113, 155, 174, 144, 96, 50, 23)(13, 29, 60, 108, 152, 177, 147, 100, 133, 83, 62, 30)(18, 40, 81, 49, 94, 139, 170, 185, 162, 127, 76, 37)(19, 41, 82, 134, 167, 188, 165, 131, 109, 121, 84, 42)(21, 45, 89, 141, 171, 189, 179, 151, 107, 61, 91, 46)(25, 54, 101, 123, 73, 65, 112, 154, 175, 145, 97, 51)(28, 59, 106, 115, 95, 142, 172, 190, 178, 149, 104, 56)(31, 63, 110, 153, 176, 146, 98, 53, 69, 118, 111, 64)(34, 70, 119, 75, 125, 160, 184, 191, 180, 156, 116, 67)(35, 71, 120, 159, 183, 192, 181, 158, 135, 90, 122, 72)(39, 80, 132, 92, 47, 87, 138, 169, 186, 163, 128, 77)(43, 85, 136, 168, 187, 164, 129, 79, 58, 103, 137, 86)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 253, 221)(209, 229, 267, 231)(212, 235, 275, 233)(214, 239, 282, 237)(216, 243, 260, 245)(218, 238, 262, 234)(219, 248, 294, 250)(222, 251, 264, 232)(224, 257, 266, 255)(225, 259, 307, 261)(228, 265, 313, 263)(230, 269, 249, 271)(236, 279, 240, 277)(242, 287, 308, 286)(244, 290, 333, 292)(246, 273, 314, 284)(247, 276, 315, 295)(252, 299, 312, 301)(254, 278, 310, 298)(256, 272, 311, 283)(258, 305, 319, 304)(268, 318, 296, 317)(270, 321, 300, 323)(274, 325, 281, 327)(280, 331, 348, 330)(285, 334, 288, 328)(289, 326, 350, 309)(291, 339, 362, 332)(293, 324, 303, 329)(297, 320, 351, 343)(302, 316, 352, 341)(306, 342, 371, 347)(322, 357, 376, 353)(335, 349, 373, 364)(336, 359, 337, 360)(338, 361, 372, 363)(340, 358, 374, 365)(344, 356, 345, 370)(346, 354, 375, 355)(366, 381, 383, 380)(367, 378, 368, 379)(369, 382, 384, 377)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2211
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.2208 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, T1^12, (T2 * T1^-2)^4, T1^-4 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * 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, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 64)(35, 67)(37, 70)(38, 73)(40, 76)(41, 79)(42, 74)(44, 83)(45, 86)(47, 90)(48, 91)(49, 94)(52, 97)(53, 100)(55, 103)(56, 106)(58, 109)(59, 112)(61, 115)(62, 99)(63, 117)(65, 119)(66, 87)(68, 124)(69, 121)(71, 107)(72, 113)(75, 129)(77, 125)(78, 133)(80, 114)(81, 120)(82, 104)(84, 139)(85, 140)(88, 144)(89, 147)(92, 149)(93, 152)(95, 154)(96, 156)(98, 159)(101, 162)(102, 151)(105, 141)(108, 165)(110, 157)(111, 169)(116, 172)(118, 163)(122, 158)(123, 166)(126, 155)(127, 177)(128, 164)(130, 161)(131, 143)(132, 171)(134, 174)(135, 176)(136, 173)(137, 153)(138, 178)(142, 179)(145, 181)(146, 182)(148, 184)(150, 186)(160, 185)(167, 187)(168, 183)(170, 189)(175, 190)(180, 191)(188, 192)(193, 194, 197, 203, 215, 237, 277, 276, 236, 214, 202, 196)(195, 199, 207, 223, 251, 303, 332, 318, 263, 229, 210, 200)(198, 205, 219, 245, 291, 353, 331, 360, 302, 250, 222, 206)(201, 211, 230, 264, 319, 334, 278, 333, 316, 269, 232, 212)(204, 217, 241, 285, 343, 311, 275, 330, 352, 290, 244, 218)(208, 225, 255, 282, 243, 288, 347, 371, 367, 312, 257, 226)(209, 227, 258, 283, 340, 375, 361, 326, 271, 296, 247, 220)(213, 233, 270, 324, 337, 280, 238, 279, 335, 327, 272, 234)(216, 239, 281, 338, 329, 274, 235, 273, 328, 342, 284, 240)(221, 248, 297, 336, 372, 370, 322, 267, 231, 266, 287, 242)(224, 253, 306, 339, 300, 249, 299, 359, 373, 365, 308, 254)(228, 260, 315, 341, 377, 362, 304, 265, 320, 345, 286, 261)(246, 293, 268, 323, 350, 289, 349, 380, 369, 325, 355, 294)(252, 292, 344, 374, 368, 317, 262, 301, 351, 378, 363, 305)(256, 310, 366, 381, 383, 379, 348, 314, 259, 313, 346, 307)(295, 356, 321, 364, 382, 384, 376, 358, 298, 357, 309, 354)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2209
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.2209 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2, T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, (T2^-1 * T1)^12 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 66, 258, 40, 232)(25, 217, 42, 234, 71, 263, 43, 235)(28, 220, 47, 239, 78, 270, 48, 240)(30, 222, 50, 242, 81, 273, 51, 243)(31, 223, 52, 244, 84, 276, 53, 245)(33, 225, 55, 247, 89, 281, 56, 248)(36, 228, 60, 252, 96, 288, 61, 253)(38, 230, 63, 255, 99, 291, 64, 256)(41, 233, 68, 260, 49, 241, 69, 261)(44, 236, 73, 265, 110, 302, 74, 266)(46, 238, 75, 267, 111, 303, 76, 268)(54, 246, 86, 278, 62, 254, 87, 279)(57, 249, 91, 283, 121, 313, 92, 284)(59, 251, 93, 285, 122, 314, 94, 286)(65, 257, 101, 293, 77, 269, 102, 294)(67, 259, 103, 295, 79, 271, 104, 296)(70, 262, 106, 298, 80, 272, 107, 299)(72, 264, 108, 300, 82, 274, 109, 301)(83, 275, 112, 304, 95, 287, 113, 305)(85, 277, 114, 306, 97, 289, 115, 307)(88, 280, 117, 309, 98, 290, 118, 310)(90, 282, 119, 311, 100, 292, 120, 312)(105, 297, 127, 319, 151, 343, 128, 320)(116, 308, 137, 329, 160, 352, 138, 330)(123, 315, 143, 335, 129, 321, 144, 336)(124, 316, 145, 337, 130, 322, 146, 338)(125, 317, 147, 339, 131, 323, 148, 340)(126, 318, 149, 341, 132, 324, 150, 342)(133, 325, 152, 344, 139, 331, 153, 345)(134, 326, 154, 346, 140, 332, 155, 347)(135, 327, 156, 348, 141, 333, 157, 349)(136, 328, 158, 350, 142, 334, 159, 351)(161, 353, 177, 369, 165, 357, 178, 370)(162, 354, 179, 371, 166, 358, 180, 372)(163, 355, 181, 373, 167, 359, 182, 374)(164, 356, 183, 375, 168, 360, 184, 376)(169, 361, 185, 377, 173, 365, 186, 378)(170, 362, 187, 379, 174, 366, 188, 380)(171, 363, 189, 381, 175, 367, 190, 382)(172, 364, 191, 383, 176, 368, 192, 384)
	L = (1, 194)(2, 193)(3, 199)(4, 201)(5, 202)(6, 204)(7, 195)(8, 207)(9, 196)(10, 197)(11, 212)(12, 198)(13, 215)(14, 217)(15, 200)(16, 220)(17, 222)(18, 223)(19, 225)(20, 203)(21, 228)(22, 230)(23, 205)(24, 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, 257)(40, 259)(41, 216)(42, 262)(43, 264)(44, 218)(45, 250)(46, 219)(47, 269)(48, 271)(49, 221)(50, 272)(51, 274)(52, 275)(53, 277)(54, 224)(55, 280)(56, 282)(57, 226)(58, 237)(59, 227)(60, 287)(61, 289)(62, 229)(63, 290)(64, 292)(65, 231)(66, 283)(67, 232)(68, 297)(69, 279)(70, 234)(71, 284)(72, 235)(73, 276)(74, 281)(75, 288)(76, 291)(77, 239)(78, 285)(79, 240)(80, 242)(81, 286)(82, 243)(83, 244)(84, 265)(85, 245)(86, 308)(87, 261)(88, 247)(89, 266)(90, 248)(91, 258)(92, 263)(93, 270)(94, 273)(95, 252)(96, 267)(97, 253)(98, 255)(99, 268)(100, 256)(101, 315)(102, 316)(103, 317)(104, 318)(105, 260)(106, 321)(107, 322)(108, 323)(109, 324)(110, 319)(111, 320)(112, 325)(113, 326)(114, 327)(115, 328)(116, 278)(117, 331)(118, 332)(119, 333)(120, 334)(121, 329)(122, 330)(123, 293)(124, 294)(125, 295)(126, 296)(127, 302)(128, 303)(129, 298)(130, 299)(131, 300)(132, 301)(133, 304)(134, 305)(135, 306)(136, 307)(137, 313)(138, 314)(139, 309)(140, 310)(141, 311)(142, 312)(143, 353)(144, 354)(145, 355)(146, 356)(147, 357)(148, 358)(149, 359)(150, 360)(151, 352)(152, 361)(153, 362)(154, 363)(155, 364)(156, 365)(157, 366)(158, 367)(159, 368)(160, 343)(161, 335)(162, 336)(163, 337)(164, 338)(165, 339)(166, 340)(167, 341)(168, 342)(169, 344)(170, 345)(171, 346)(172, 347)(173, 348)(174, 349)(175, 350)(176, 351)(177, 377)(178, 381)(179, 379)(180, 383)(181, 378)(182, 382)(183, 380)(184, 384)(185, 369)(186, 373)(187, 371)(188, 375)(189, 370)(190, 374)(191, 372)(192, 376)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2208
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2210 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1^-1)^4, T2^3 * T1^-2 * T2^-2 * T1 * T2 * T1^-1, (T1^-1 * T2^-2 * T1 * T2^-1 * T1^-1)^2, (T2^2 * T1^-1)^4, T2^12 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 52, 244, 99, 291, 148, 340, 114, 306, 66, 258, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 78, 270, 130, 322, 166, 358, 140, 332, 88, 280, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 57, 249, 105, 297, 150, 342, 173, 365, 143, 335, 93, 285, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 68, 260, 117, 309, 157, 349, 182, 374, 161, 353, 124, 316, 74, 266, 36, 228, 16, 208)(11, 203, 26, 218, 55, 247, 102, 294, 126, 318, 113, 305, 155, 347, 174, 366, 144, 336, 96, 288, 50, 242, 23, 215)(13, 205, 29, 221, 60, 252, 108, 300, 152, 344, 177, 369, 147, 339, 100, 292, 133, 325, 83, 275, 62, 254, 30, 222)(18, 210, 40, 232, 81, 273, 49, 241, 94, 286, 139, 331, 170, 362, 185, 377, 162, 354, 127, 319, 76, 268, 37, 229)(19, 211, 41, 233, 82, 274, 134, 326, 167, 359, 188, 380, 165, 357, 131, 323, 109, 301, 121, 313, 84, 276, 42, 234)(21, 213, 45, 237, 89, 281, 141, 333, 171, 363, 189, 381, 179, 371, 151, 343, 107, 299, 61, 253, 91, 283, 46, 238)(25, 217, 54, 246, 101, 293, 123, 315, 73, 265, 65, 257, 112, 304, 154, 346, 175, 367, 145, 337, 97, 289, 51, 243)(28, 220, 59, 251, 106, 298, 115, 307, 95, 287, 142, 334, 172, 364, 190, 382, 178, 370, 149, 341, 104, 296, 56, 248)(31, 223, 63, 255, 110, 302, 153, 345, 176, 368, 146, 338, 98, 290, 53, 245, 69, 261, 118, 310, 111, 303, 64, 256)(34, 226, 70, 262, 119, 311, 75, 267, 125, 317, 160, 352, 184, 376, 191, 383, 180, 372, 156, 348, 116, 308, 67, 259)(35, 227, 71, 263, 120, 312, 159, 351, 183, 375, 192, 384, 181, 373, 158, 350, 135, 327, 90, 282, 122, 314, 72, 264)(39, 231, 80, 272, 132, 324, 92, 284, 47, 239, 87, 279, 138, 330, 169, 361, 186, 378, 163, 355, 128, 320, 77, 269)(43, 235, 85, 277, 136, 328, 168, 360, 187, 379, 164, 356, 129, 321, 79, 271, 58, 250, 103, 295, 137, 329, 86, 278)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 243)(25, 202)(26, 238)(27, 248)(28, 204)(29, 206)(30, 251)(31, 253)(32, 257)(33, 259)(34, 207)(35, 220)(36, 265)(37, 267)(38, 269)(39, 209)(40, 222)(41, 212)(42, 218)(43, 275)(44, 279)(45, 214)(46, 262)(47, 282)(48, 277)(49, 217)(50, 287)(51, 260)(52, 290)(53, 216)(54, 273)(55, 276)(56, 294)(57, 271)(58, 219)(59, 264)(60, 299)(61, 221)(62, 278)(63, 224)(64, 272)(65, 266)(66, 305)(67, 307)(68, 245)(69, 225)(70, 234)(71, 228)(72, 232)(73, 313)(74, 255)(75, 231)(76, 318)(77, 249)(78, 321)(79, 230)(80, 311)(81, 314)(82, 325)(83, 233)(84, 315)(85, 236)(86, 310)(87, 240)(88, 331)(89, 327)(90, 237)(91, 256)(92, 246)(93, 334)(94, 242)(95, 308)(96, 328)(97, 326)(98, 333)(99, 339)(100, 244)(101, 324)(102, 250)(103, 247)(104, 317)(105, 320)(106, 254)(107, 312)(108, 323)(109, 252)(110, 316)(111, 329)(112, 258)(113, 319)(114, 342)(115, 261)(116, 286)(117, 289)(118, 298)(119, 283)(120, 301)(121, 263)(122, 284)(123, 295)(124, 352)(125, 268)(126, 296)(127, 304)(128, 351)(129, 300)(130, 357)(131, 270)(132, 303)(133, 281)(134, 350)(135, 274)(136, 285)(137, 293)(138, 280)(139, 348)(140, 291)(141, 292)(142, 288)(143, 349)(144, 359)(145, 360)(146, 361)(147, 362)(148, 358)(149, 302)(150, 371)(151, 297)(152, 356)(153, 370)(154, 354)(155, 306)(156, 330)(157, 373)(158, 309)(159, 343)(160, 341)(161, 322)(162, 375)(163, 346)(164, 345)(165, 376)(166, 374)(167, 337)(168, 336)(169, 372)(170, 332)(171, 338)(172, 335)(173, 340)(174, 381)(175, 378)(176, 379)(177, 382)(178, 344)(179, 347)(180, 363)(181, 364)(182, 365)(183, 355)(184, 353)(185, 369)(186, 368)(187, 367)(188, 366)(189, 383)(190, 384)(191, 380)(192, 377)
	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 E17.2206
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.2211 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T2 * T1^2 * T2 * T1^-1 * T2 * T1^-4 * T2 * T1^-1, T1^12, (T2 * T1^-2)^4, T1^-4 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 64, 256)(35, 227, 67, 259)(37, 229, 70, 262)(38, 230, 73, 265)(40, 232, 76, 268)(41, 233, 79, 271)(42, 234, 74, 266)(44, 236, 83, 275)(45, 237, 86, 278)(47, 239, 90, 282)(48, 240, 91, 283)(49, 241, 94, 286)(52, 244, 97, 289)(53, 245, 100, 292)(55, 247, 103, 295)(56, 248, 106, 298)(58, 250, 109, 301)(59, 251, 112, 304)(61, 253, 115, 307)(62, 254, 99, 291)(63, 255, 117, 309)(65, 257, 119, 311)(66, 258, 87, 279)(68, 260, 124, 316)(69, 261, 121, 313)(71, 263, 107, 299)(72, 264, 113, 305)(75, 267, 129, 321)(77, 269, 125, 317)(78, 270, 133, 325)(80, 272, 114, 306)(81, 273, 120, 312)(82, 274, 104, 296)(84, 276, 139, 331)(85, 277, 140, 332)(88, 280, 144, 336)(89, 281, 147, 339)(92, 284, 149, 341)(93, 285, 152, 344)(95, 287, 154, 346)(96, 288, 156, 348)(98, 290, 159, 351)(101, 293, 162, 354)(102, 294, 151, 343)(105, 297, 141, 333)(108, 300, 165, 357)(110, 302, 157, 349)(111, 303, 169, 361)(116, 308, 172, 364)(118, 310, 163, 355)(122, 314, 158, 350)(123, 315, 166, 358)(126, 318, 155, 347)(127, 319, 177, 369)(128, 320, 164, 356)(130, 322, 161, 353)(131, 323, 143, 335)(132, 324, 171, 363)(134, 326, 174, 366)(135, 327, 176, 368)(136, 328, 173, 365)(137, 329, 153, 345)(138, 330, 178, 370)(142, 334, 179, 371)(145, 337, 181, 373)(146, 338, 182, 374)(148, 340, 184, 376)(150, 342, 186, 378)(160, 352, 185, 377)(167, 359, 187, 379)(168, 360, 183, 375)(170, 362, 189, 381)(175, 367, 190, 382)(180, 372, 191, 383)(188, 380, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 253)(33, 255)(34, 208)(35, 258)(36, 260)(37, 210)(38, 264)(39, 266)(40, 212)(41, 270)(42, 213)(43, 273)(44, 214)(45, 277)(46, 279)(47, 281)(48, 216)(49, 285)(50, 221)(51, 288)(52, 218)(53, 291)(54, 293)(55, 220)(56, 297)(57, 299)(58, 222)(59, 303)(60, 292)(61, 306)(62, 224)(63, 282)(64, 310)(65, 226)(66, 283)(67, 313)(68, 315)(69, 228)(70, 301)(71, 229)(72, 319)(73, 320)(74, 287)(75, 231)(76, 323)(77, 232)(78, 324)(79, 296)(80, 234)(81, 328)(82, 235)(83, 330)(84, 236)(85, 276)(86, 333)(87, 335)(88, 238)(89, 338)(90, 243)(91, 340)(92, 240)(93, 343)(94, 261)(95, 242)(96, 347)(97, 349)(98, 244)(99, 353)(100, 344)(101, 268)(102, 246)(103, 356)(104, 247)(105, 336)(106, 357)(107, 359)(108, 249)(109, 351)(110, 250)(111, 332)(112, 265)(113, 252)(114, 339)(115, 256)(116, 254)(117, 354)(118, 366)(119, 275)(120, 257)(121, 346)(122, 259)(123, 341)(124, 269)(125, 262)(126, 263)(127, 334)(128, 345)(129, 364)(130, 267)(131, 350)(132, 337)(133, 355)(134, 271)(135, 272)(136, 342)(137, 274)(138, 352)(139, 360)(140, 318)(141, 316)(142, 278)(143, 327)(144, 372)(145, 280)(146, 329)(147, 300)(148, 375)(149, 377)(150, 284)(151, 311)(152, 374)(153, 286)(154, 307)(155, 371)(156, 314)(157, 380)(158, 289)(159, 378)(160, 290)(161, 331)(162, 295)(163, 294)(164, 321)(165, 309)(166, 298)(167, 373)(168, 302)(169, 326)(170, 304)(171, 305)(172, 382)(173, 308)(174, 381)(175, 312)(176, 317)(177, 325)(178, 322)(179, 367)(180, 370)(181, 365)(182, 368)(183, 361)(184, 358)(185, 362)(186, 363)(187, 348)(188, 369)(189, 383)(190, 384)(191, 379)(192, 376)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2207
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2212 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1, Y2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 65, 257)(40, 232, 67, 259)(42, 234, 70, 262)(43, 235, 72, 264)(45, 237, 58, 250)(47, 239, 77, 269)(48, 240, 79, 271)(50, 242, 80, 272)(51, 243, 82, 274)(52, 244, 83, 275)(53, 245, 85, 277)(55, 247, 88, 280)(56, 248, 90, 282)(60, 252, 95, 287)(61, 253, 97, 289)(63, 255, 98, 290)(64, 256, 100, 292)(66, 258, 91, 283)(68, 260, 105, 297)(69, 261, 87, 279)(71, 263, 92, 284)(73, 265, 84, 276)(74, 266, 89, 281)(75, 267, 96, 288)(76, 268, 99, 291)(78, 270, 93, 285)(81, 273, 94, 286)(86, 278, 116, 308)(101, 293, 123, 315)(102, 294, 124, 316)(103, 295, 125, 317)(104, 296, 126, 318)(106, 298, 129, 321)(107, 299, 130, 322)(108, 300, 131, 323)(109, 301, 132, 324)(110, 302, 127, 319)(111, 303, 128, 320)(112, 304, 133, 325)(113, 305, 134, 326)(114, 306, 135, 327)(115, 307, 136, 328)(117, 309, 139, 331)(118, 310, 140, 332)(119, 311, 141, 333)(120, 312, 142, 334)(121, 313, 137, 329)(122, 314, 138, 330)(143, 335, 161, 353)(144, 336, 162, 354)(145, 337, 163, 355)(146, 338, 164, 356)(147, 339, 165, 357)(148, 340, 166, 358)(149, 341, 167, 359)(150, 342, 168, 360)(151, 343, 160, 352)(152, 344, 169, 361)(153, 345, 170, 362)(154, 346, 171, 363)(155, 347, 172, 364)(156, 348, 173, 365)(157, 349, 174, 366)(158, 350, 175, 367)(159, 351, 176, 368)(177, 369, 185, 377)(178, 370, 189, 381)(179, 371, 187, 379)(180, 372, 191, 383)(181, 373, 186, 378)(182, 374, 190, 382)(183, 375, 188, 380)(184, 376, 192, 384)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 450, 642, 424, 616)(409, 601, 426, 618, 455, 647, 427, 619)(412, 604, 431, 623, 462, 654, 432, 624)(414, 606, 434, 626, 465, 657, 435, 627)(415, 607, 436, 628, 468, 660, 437, 629)(417, 609, 439, 631, 473, 665, 440, 632)(420, 612, 444, 636, 480, 672, 445, 637)(422, 614, 447, 639, 483, 675, 448, 640)(425, 617, 452, 644, 433, 625, 453, 645)(428, 620, 457, 649, 494, 686, 458, 650)(430, 622, 459, 651, 495, 687, 460, 652)(438, 630, 470, 662, 446, 638, 471, 663)(441, 633, 475, 667, 505, 697, 476, 668)(443, 635, 477, 669, 506, 698, 478, 670)(449, 641, 485, 677, 461, 653, 486, 678)(451, 643, 487, 679, 463, 655, 488, 680)(454, 646, 490, 682, 464, 656, 491, 683)(456, 648, 492, 684, 466, 658, 493, 685)(467, 659, 496, 688, 479, 671, 497, 689)(469, 661, 498, 690, 481, 673, 499, 691)(472, 664, 501, 693, 482, 674, 502, 694)(474, 666, 503, 695, 484, 676, 504, 696)(489, 681, 511, 703, 535, 727, 512, 704)(500, 692, 521, 713, 544, 736, 522, 714)(507, 699, 527, 719, 513, 705, 528, 720)(508, 700, 529, 721, 514, 706, 530, 722)(509, 701, 531, 723, 515, 707, 532, 724)(510, 702, 533, 725, 516, 708, 534, 726)(517, 709, 536, 728, 523, 715, 537, 729)(518, 710, 538, 730, 524, 716, 539, 731)(519, 711, 540, 732, 525, 717, 541, 733)(520, 712, 542, 734, 526, 718, 543, 735)(545, 737, 561, 753, 549, 741, 562, 754)(546, 738, 563, 755, 550, 742, 564, 756)(547, 739, 565, 757, 551, 743, 566, 758)(548, 740, 567, 759, 552, 744, 568, 760)(553, 745, 569, 761, 557, 749, 570, 762)(554, 746, 571, 763, 558, 750, 572, 764)(555, 747, 573, 765, 559, 751, 574, 766)(556, 748, 575, 767, 560, 752, 576, 768)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 449)(40, 451)(41, 408)(42, 454)(43, 456)(44, 410)(45, 442)(46, 411)(47, 461)(48, 463)(49, 413)(50, 464)(51, 466)(52, 467)(53, 469)(54, 416)(55, 472)(56, 474)(57, 418)(58, 429)(59, 419)(60, 479)(61, 481)(62, 421)(63, 482)(64, 484)(65, 423)(66, 475)(67, 424)(68, 489)(69, 471)(70, 426)(71, 476)(72, 427)(73, 468)(74, 473)(75, 480)(76, 483)(77, 431)(78, 477)(79, 432)(80, 434)(81, 478)(82, 435)(83, 436)(84, 457)(85, 437)(86, 500)(87, 453)(88, 439)(89, 458)(90, 440)(91, 450)(92, 455)(93, 462)(94, 465)(95, 444)(96, 459)(97, 445)(98, 447)(99, 460)(100, 448)(101, 507)(102, 508)(103, 509)(104, 510)(105, 452)(106, 513)(107, 514)(108, 515)(109, 516)(110, 511)(111, 512)(112, 517)(113, 518)(114, 519)(115, 520)(116, 470)(117, 523)(118, 524)(119, 525)(120, 526)(121, 521)(122, 522)(123, 485)(124, 486)(125, 487)(126, 488)(127, 494)(128, 495)(129, 490)(130, 491)(131, 492)(132, 493)(133, 496)(134, 497)(135, 498)(136, 499)(137, 505)(138, 506)(139, 501)(140, 502)(141, 503)(142, 504)(143, 545)(144, 546)(145, 547)(146, 548)(147, 549)(148, 550)(149, 551)(150, 552)(151, 544)(152, 553)(153, 554)(154, 555)(155, 556)(156, 557)(157, 558)(158, 559)(159, 560)(160, 535)(161, 527)(162, 528)(163, 529)(164, 530)(165, 531)(166, 532)(167, 533)(168, 534)(169, 536)(170, 537)(171, 538)(172, 539)(173, 540)(174, 541)(175, 542)(176, 543)(177, 569)(178, 573)(179, 571)(180, 575)(181, 570)(182, 574)(183, 572)(184, 576)(185, 561)(186, 565)(187, 563)(188, 567)(189, 562)(190, 566)(191, 564)(192, 568)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2215
Graph:: bipartite
	v = 144 e = 384 f = 208
	degree seq :: [ 4^96, 8^48 ]

E17.2213 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-1 * Y1)^4, Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-3 * Y1, Y2^12, Y2^-2 * Y1^-1 * Y2 * Y1^2 * Y2^-2 * Y1^-2 * Y2^-1 * Y1, (Y2^2 * Y1^-1)^4 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 61, 253, 29, 221)(17, 209, 37, 229, 75, 267, 39, 231)(20, 212, 43, 235, 83, 275, 41, 233)(22, 214, 47, 239, 90, 282, 45, 237)(24, 216, 51, 243, 68, 260, 53, 245)(26, 218, 46, 238, 70, 262, 42, 234)(27, 219, 56, 248, 102, 294, 58, 250)(30, 222, 59, 251, 72, 264, 40, 232)(32, 224, 65, 257, 74, 266, 63, 255)(33, 225, 67, 259, 115, 307, 69, 261)(36, 228, 73, 265, 121, 313, 71, 263)(38, 230, 77, 269, 57, 249, 79, 271)(44, 236, 87, 279, 48, 240, 85, 277)(50, 242, 95, 287, 116, 308, 94, 286)(52, 244, 98, 290, 141, 333, 100, 292)(54, 246, 81, 273, 122, 314, 92, 284)(55, 247, 84, 276, 123, 315, 103, 295)(60, 252, 107, 299, 120, 312, 109, 301)(62, 254, 86, 278, 118, 310, 106, 298)(64, 256, 80, 272, 119, 311, 91, 283)(66, 258, 113, 305, 127, 319, 112, 304)(76, 268, 126, 318, 104, 296, 125, 317)(78, 270, 129, 321, 108, 300, 131, 323)(82, 274, 133, 325, 89, 281, 135, 327)(88, 280, 139, 331, 156, 348, 138, 330)(93, 285, 142, 334, 96, 288, 136, 328)(97, 289, 134, 326, 158, 350, 117, 309)(99, 291, 147, 339, 170, 362, 140, 332)(101, 293, 132, 324, 111, 303, 137, 329)(105, 297, 128, 320, 159, 351, 151, 343)(110, 302, 124, 316, 160, 352, 149, 341)(114, 306, 150, 342, 179, 371, 155, 347)(130, 322, 165, 357, 184, 376, 161, 353)(143, 335, 157, 349, 181, 373, 172, 364)(144, 336, 167, 359, 145, 337, 168, 360)(146, 338, 169, 361, 180, 372, 171, 363)(148, 340, 166, 358, 182, 374, 173, 365)(152, 344, 164, 356, 153, 345, 178, 370)(154, 346, 162, 354, 183, 375, 163, 355)(174, 366, 189, 381, 191, 383, 188, 380)(175, 367, 186, 378, 176, 368, 187, 379)(177, 369, 190, 382, 192, 384, 185, 377)(385, 577, 387, 579, 394, 586, 408, 600, 436, 628, 483, 675, 532, 724, 498, 690, 450, 642, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 462, 654, 514, 706, 550, 742, 524, 716, 472, 664, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 441, 633, 489, 681, 534, 726, 557, 749, 527, 719, 477, 669, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 452, 644, 501, 693, 541, 733, 566, 758, 545, 737, 508, 700, 458, 650, 420, 612, 400, 592)(395, 587, 410, 602, 439, 631, 486, 678, 510, 702, 497, 689, 539, 731, 558, 750, 528, 720, 480, 672, 434, 626, 407, 599)(397, 589, 413, 605, 444, 636, 492, 684, 536, 728, 561, 753, 531, 723, 484, 676, 517, 709, 467, 659, 446, 638, 414, 606)(402, 594, 424, 616, 465, 657, 433, 625, 478, 670, 523, 715, 554, 746, 569, 761, 546, 738, 511, 703, 460, 652, 421, 613)(403, 595, 425, 617, 466, 658, 518, 710, 551, 743, 572, 764, 549, 741, 515, 707, 493, 685, 505, 697, 468, 660, 426, 618)(405, 597, 429, 621, 473, 665, 525, 717, 555, 747, 573, 765, 563, 755, 535, 727, 491, 683, 445, 637, 475, 667, 430, 622)(409, 601, 438, 630, 485, 677, 507, 699, 457, 649, 449, 641, 496, 688, 538, 730, 559, 751, 529, 721, 481, 673, 435, 627)(412, 604, 443, 635, 490, 682, 499, 691, 479, 671, 526, 718, 556, 748, 574, 766, 562, 754, 533, 725, 488, 680, 440, 632)(415, 607, 447, 639, 494, 686, 537, 729, 560, 752, 530, 722, 482, 674, 437, 629, 453, 645, 502, 694, 495, 687, 448, 640)(418, 610, 454, 646, 503, 695, 459, 651, 509, 701, 544, 736, 568, 760, 575, 767, 564, 756, 540, 732, 500, 692, 451, 643)(419, 611, 455, 647, 504, 696, 543, 735, 567, 759, 576, 768, 565, 757, 542, 734, 519, 711, 474, 666, 506, 698, 456, 648)(423, 615, 464, 656, 516, 708, 476, 668, 431, 623, 471, 663, 522, 714, 553, 745, 570, 762, 547, 739, 512, 704, 461, 653)(427, 619, 469, 661, 520, 712, 552, 744, 571, 763, 548, 740, 513, 705, 463, 655, 442, 634, 487, 679, 521, 713, 470, 662)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 441)(28, 443)(29, 444)(30, 397)(31, 447)(32, 398)(33, 452)(34, 454)(35, 455)(36, 400)(37, 402)(38, 462)(39, 464)(40, 465)(41, 466)(42, 403)(43, 469)(44, 404)(45, 473)(46, 405)(47, 471)(48, 406)(49, 478)(50, 407)(51, 409)(52, 483)(53, 453)(54, 485)(55, 486)(56, 412)(57, 489)(58, 487)(59, 490)(60, 492)(61, 475)(62, 414)(63, 494)(64, 415)(65, 496)(66, 416)(67, 418)(68, 501)(69, 502)(70, 503)(71, 504)(72, 419)(73, 449)(74, 420)(75, 509)(76, 421)(77, 423)(78, 514)(79, 442)(80, 516)(81, 433)(82, 518)(83, 446)(84, 426)(85, 520)(86, 427)(87, 522)(88, 428)(89, 525)(90, 506)(91, 430)(92, 431)(93, 432)(94, 523)(95, 526)(96, 434)(97, 435)(98, 437)(99, 532)(100, 517)(101, 507)(102, 510)(103, 521)(104, 440)(105, 534)(106, 499)(107, 445)(108, 536)(109, 505)(110, 537)(111, 448)(112, 538)(113, 539)(114, 450)(115, 479)(116, 451)(117, 541)(118, 495)(119, 459)(120, 543)(121, 468)(122, 456)(123, 457)(124, 458)(125, 544)(126, 497)(127, 460)(128, 461)(129, 463)(130, 550)(131, 493)(132, 476)(133, 467)(134, 551)(135, 474)(136, 552)(137, 470)(138, 553)(139, 554)(140, 472)(141, 555)(142, 556)(143, 477)(144, 480)(145, 481)(146, 482)(147, 484)(148, 498)(149, 488)(150, 557)(151, 491)(152, 561)(153, 560)(154, 559)(155, 558)(156, 500)(157, 566)(158, 519)(159, 567)(160, 568)(161, 508)(162, 511)(163, 512)(164, 513)(165, 515)(166, 524)(167, 572)(168, 571)(169, 570)(170, 569)(171, 573)(172, 574)(173, 527)(174, 528)(175, 529)(176, 530)(177, 531)(178, 533)(179, 535)(180, 540)(181, 542)(182, 545)(183, 576)(184, 575)(185, 546)(186, 547)(187, 548)(188, 549)(189, 563)(190, 562)(191, 564)(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, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2214
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 8^48, 24^16 ]

E17.2214 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y2)^4, (Y3^-1 * Y2 * Y3^-1)^4, Y2 * Y3^-3 * Y2 * Y3^-1 * Y2 * Y3^3 * Y2 * Y3, Y3^6 * Y2 * Y3^-6 * Y2, (Y3^-4 * Y2 * Y3^2 * Y2)^2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 443, 635)(417, 609, 447, 639)(418, 610, 446, 638)(419, 611, 450, 642)(421, 613, 454, 646)(423, 615, 458, 650)(424, 616, 460, 652)(425, 617, 462, 654)(426, 618, 456, 648)(428, 620, 467, 659)(429, 621, 469, 661)(431, 623, 473, 665)(432, 624, 472, 664)(433, 625, 476, 668)(435, 627, 480, 672)(437, 629, 484, 676)(438, 630, 486, 678)(439, 631, 488, 680)(440, 632, 482, 674)(442, 634, 493, 685)(444, 636, 478, 670)(445, 637, 497, 689)(448, 640, 491, 683)(449, 641, 490, 682)(451, 643, 504, 696)(452, 644, 470, 662)(453, 645, 485, 677)(455, 647, 509, 701)(457, 649, 511, 703)(459, 651, 479, 671)(461, 653, 492, 684)(463, 655, 517, 709)(464, 656, 475, 667)(465, 657, 474, 666)(466, 658, 487, 679)(468, 660, 523, 715)(471, 663, 526, 718)(477, 669, 533, 725)(481, 673, 538, 730)(483, 675, 540, 732)(489, 681, 546, 738)(494, 686, 552, 744)(495, 687, 524, 716)(496, 688, 529, 721)(498, 690, 545, 737)(499, 691, 528, 720)(500, 692, 525, 717)(501, 693, 554, 746)(502, 694, 535, 727)(503, 695, 541, 733)(505, 697, 549, 741)(506, 698, 531, 723)(507, 699, 547, 739)(508, 700, 553, 745)(510, 702, 539, 731)(512, 704, 532, 724)(513, 705, 544, 736)(514, 706, 562, 754)(515, 707, 542, 734)(516, 708, 527, 719)(518, 710, 536, 728)(519, 711, 550, 742)(520, 712, 534, 726)(521, 713, 548, 740)(522, 714, 561, 753)(530, 722, 564, 756)(537, 729, 563, 755)(543, 735, 572, 764)(551, 743, 571, 763)(555, 747, 570, 762)(556, 748, 569, 761)(557, 749, 567, 759)(558, 750, 568, 760)(559, 751, 566, 758)(560, 752, 565, 757)(573, 765, 575, 767)(574, 766, 576, 768)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 444)(32, 445)(33, 400)(34, 449)(35, 401)(36, 452)(37, 455)(38, 456)(39, 459)(40, 404)(41, 463)(42, 405)(43, 465)(44, 406)(45, 470)(46, 471)(47, 408)(48, 475)(49, 409)(50, 478)(51, 481)(52, 482)(53, 485)(54, 412)(55, 489)(56, 413)(57, 491)(58, 414)(59, 495)(60, 476)(61, 498)(62, 416)(63, 493)(64, 417)(65, 502)(66, 503)(67, 419)(68, 506)(69, 420)(70, 484)(71, 510)(72, 499)(73, 422)(74, 513)(75, 514)(76, 515)(77, 424)(78, 487)(79, 518)(80, 426)(81, 520)(82, 427)(83, 522)(84, 428)(85, 524)(86, 450)(87, 527)(88, 430)(89, 467)(90, 431)(91, 531)(92, 532)(93, 433)(94, 535)(95, 434)(96, 458)(97, 539)(98, 528)(99, 436)(100, 542)(101, 543)(102, 544)(103, 438)(104, 461)(105, 547)(106, 440)(107, 549)(108, 441)(109, 551)(110, 442)(111, 460)(112, 443)(113, 525)(114, 553)(115, 446)(116, 447)(117, 448)(118, 529)(119, 552)(120, 554)(121, 451)(122, 557)(123, 453)(124, 454)(125, 545)(126, 468)(127, 533)(128, 457)(129, 548)(130, 560)(131, 540)(132, 462)(133, 526)(134, 559)(135, 464)(136, 558)(137, 466)(138, 556)(139, 555)(140, 486)(141, 469)(142, 496)(143, 563)(144, 472)(145, 473)(146, 474)(147, 500)(148, 523)(149, 564)(150, 477)(151, 567)(152, 479)(153, 480)(154, 516)(155, 494)(156, 504)(157, 483)(158, 519)(159, 570)(160, 511)(161, 488)(162, 497)(163, 569)(164, 490)(165, 568)(166, 492)(167, 566)(168, 565)(169, 573)(170, 574)(171, 501)(172, 505)(173, 521)(174, 507)(175, 508)(176, 509)(177, 512)(178, 517)(179, 575)(180, 576)(181, 530)(182, 534)(183, 550)(184, 536)(185, 537)(186, 538)(187, 541)(188, 546)(189, 561)(190, 562)(191, 571)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2213
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2215 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^4, Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^-4 * Y3 * Y1^-1, (Y3 * Y1^-2)^4, Y1^12, Y1^-4 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1^-1, Y1^-1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 85, 277, 84, 276, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 111, 303, 140, 332, 126, 318, 71, 263, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 99, 291, 161, 353, 139, 331, 168, 360, 110, 302, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 72, 264, 127, 319, 142, 334, 86, 278, 141, 333, 124, 316, 77, 269, 40, 232, 20, 212)(12, 204, 25, 217, 49, 241, 93, 285, 151, 343, 119, 311, 83, 275, 138, 330, 160, 352, 98, 290, 52, 244, 26, 218)(16, 208, 33, 225, 63, 255, 90, 282, 51, 243, 96, 288, 155, 347, 179, 371, 175, 367, 120, 312, 65, 257, 34, 226)(17, 209, 35, 227, 66, 258, 91, 283, 148, 340, 183, 375, 169, 361, 134, 326, 79, 271, 104, 296, 55, 247, 28, 220)(21, 213, 41, 233, 78, 270, 132, 324, 145, 337, 88, 280, 46, 238, 87, 279, 143, 335, 135, 327, 80, 272, 42, 234)(24, 216, 47, 239, 89, 281, 146, 338, 137, 329, 82, 274, 43, 235, 81, 273, 136, 328, 150, 342, 92, 284, 48, 240)(29, 221, 56, 248, 105, 297, 144, 336, 180, 372, 178, 370, 130, 322, 75, 267, 39, 231, 74, 266, 95, 287, 50, 242)(32, 224, 61, 253, 114, 306, 147, 339, 108, 300, 57, 249, 107, 299, 167, 359, 181, 373, 173, 365, 116, 308, 62, 254)(36, 228, 68, 260, 123, 315, 149, 341, 185, 377, 170, 362, 112, 304, 73, 265, 128, 320, 153, 345, 94, 286, 69, 261)(54, 246, 101, 293, 76, 268, 131, 323, 158, 350, 97, 289, 157, 349, 188, 380, 177, 369, 133, 325, 163, 355, 102, 294)(60, 252, 100, 292, 152, 344, 182, 374, 176, 368, 125, 317, 70, 262, 109, 301, 159, 351, 186, 378, 171, 363, 113, 305)(64, 256, 118, 310, 174, 366, 189, 381, 191, 383, 187, 379, 156, 348, 122, 314, 67, 259, 121, 313, 154, 346, 115, 307)(103, 295, 164, 356, 129, 321, 172, 364, 190, 382, 192, 384, 184, 376, 166, 358, 106, 298, 165, 357, 117, 309, 162, 354)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 448)(35, 451)(36, 402)(37, 454)(38, 457)(39, 403)(40, 460)(41, 463)(42, 458)(43, 406)(44, 467)(45, 470)(46, 407)(47, 474)(48, 475)(49, 478)(50, 409)(51, 410)(52, 481)(53, 484)(54, 411)(55, 487)(56, 490)(57, 414)(58, 493)(59, 496)(60, 415)(61, 499)(62, 483)(63, 501)(64, 418)(65, 503)(66, 471)(67, 419)(68, 508)(69, 505)(70, 421)(71, 491)(72, 497)(73, 422)(74, 426)(75, 513)(76, 424)(77, 509)(78, 517)(79, 425)(80, 498)(81, 504)(82, 488)(83, 428)(84, 523)(85, 524)(86, 429)(87, 450)(88, 528)(89, 531)(90, 431)(91, 432)(92, 533)(93, 536)(94, 433)(95, 538)(96, 540)(97, 436)(98, 543)(99, 446)(100, 437)(101, 546)(102, 535)(103, 439)(104, 466)(105, 525)(106, 440)(107, 455)(108, 549)(109, 442)(110, 541)(111, 553)(112, 443)(113, 456)(114, 464)(115, 445)(116, 556)(117, 447)(118, 547)(119, 449)(120, 465)(121, 453)(122, 542)(123, 550)(124, 452)(125, 461)(126, 539)(127, 561)(128, 548)(129, 459)(130, 545)(131, 527)(132, 555)(133, 462)(134, 558)(135, 560)(136, 557)(137, 537)(138, 562)(139, 468)(140, 469)(141, 489)(142, 563)(143, 515)(144, 472)(145, 565)(146, 566)(147, 473)(148, 568)(149, 476)(150, 570)(151, 486)(152, 477)(153, 521)(154, 479)(155, 510)(156, 480)(157, 494)(158, 506)(159, 482)(160, 569)(161, 514)(162, 485)(163, 502)(164, 512)(165, 492)(166, 507)(167, 571)(168, 567)(169, 495)(170, 573)(171, 516)(172, 500)(173, 520)(174, 518)(175, 574)(176, 519)(177, 511)(178, 522)(179, 526)(180, 575)(181, 529)(182, 530)(183, 552)(184, 532)(185, 544)(186, 534)(187, 551)(188, 576)(189, 554)(190, 559)(191, 564)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2212
Graph:: simple bipartite
	v = 208 e = 384 f = 144
	degree seq :: [ 2^192, 24^16 ]

E17.2216 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^2 * Y1)^4, Y2^-1 * Y1 * Y2 * R * Y2^-4 * R * Y2 * Y1 * Y2^-1, Y2 * Y1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-3 * Y1, Y2^12, (Y2^-6 * Y1)^2, Y2^-6 * R * Y2^-4 * R * Y1 * Y2^2 * Y1 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 59, 251)(33, 225, 63, 255)(34, 226, 62, 254)(35, 227, 66, 258)(37, 229, 70, 262)(39, 231, 74, 266)(40, 232, 76, 268)(41, 233, 78, 270)(42, 234, 72, 264)(44, 236, 83, 275)(45, 237, 85, 277)(47, 239, 89, 281)(48, 240, 88, 280)(49, 241, 92, 284)(51, 243, 96, 288)(53, 245, 100, 292)(54, 246, 102, 294)(55, 247, 104, 296)(56, 248, 98, 290)(58, 250, 109, 301)(60, 252, 94, 286)(61, 253, 113, 305)(64, 256, 107, 299)(65, 257, 106, 298)(67, 259, 120, 312)(68, 260, 86, 278)(69, 261, 101, 293)(71, 263, 125, 317)(73, 265, 127, 319)(75, 267, 95, 287)(77, 269, 108, 300)(79, 271, 133, 325)(80, 272, 91, 283)(81, 273, 90, 282)(82, 274, 103, 295)(84, 276, 139, 331)(87, 279, 142, 334)(93, 285, 149, 341)(97, 289, 154, 346)(99, 291, 156, 348)(105, 297, 162, 354)(110, 302, 168, 360)(111, 303, 140, 332)(112, 304, 145, 337)(114, 306, 161, 353)(115, 307, 144, 336)(116, 308, 141, 333)(117, 309, 170, 362)(118, 310, 151, 343)(119, 311, 157, 349)(121, 313, 165, 357)(122, 314, 147, 339)(123, 315, 163, 355)(124, 316, 169, 361)(126, 318, 155, 347)(128, 320, 148, 340)(129, 321, 160, 352)(130, 322, 178, 370)(131, 323, 158, 350)(132, 324, 143, 335)(134, 326, 152, 344)(135, 327, 166, 358)(136, 328, 150, 342)(137, 329, 164, 356)(138, 330, 177, 369)(146, 338, 180, 372)(153, 345, 179, 371)(159, 351, 188, 380)(167, 359, 187, 379)(171, 363, 186, 378)(172, 364, 185, 377)(173, 365, 183, 375)(174, 366, 184, 376)(175, 367, 182, 374)(176, 368, 181, 373)(189, 381, 191, 383)(190, 382, 192, 384)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 455, 647, 510, 702, 468, 660, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 481, 673, 539, 731, 494, 686, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 444, 636, 476, 668, 532, 724, 523, 715, 555, 747, 501, 693, 448, 640, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 459, 651, 514, 706, 560, 752, 509, 701, 545, 737, 488, 680, 461, 653, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 470, 662, 450, 642, 503, 695, 552, 744, 565, 757, 530, 722, 474, 666, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 485, 677, 543, 735, 570, 762, 538, 730, 516, 708, 462, 654, 487, 679, 438, 630, 412, 604)(401, 593, 418, 610, 449, 641, 502, 694, 529, 721, 473, 665, 467, 659, 522, 714, 556, 748, 505, 697, 451, 643, 419, 611)(405, 597, 425, 617, 463, 655, 518, 710, 559, 751, 508, 700, 454, 646, 484, 676, 542, 734, 519, 711, 464, 656, 426, 618)(409, 601, 432, 624, 475, 667, 531, 723, 500, 692, 447, 639, 493, 685, 551, 743, 566, 758, 534, 726, 477, 669, 433, 625)(413, 605, 439, 631, 489, 681, 547, 739, 569, 761, 537, 729, 480, 672, 458, 650, 513, 705, 548, 740, 490, 682, 440, 632)(416, 608, 445, 637, 498, 690, 553, 745, 573, 765, 561, 753, 512, 704, 457, 649, 422, 614, 456, 648, 499, 691, 446, 638)(420, 612, 452, 644, 506, 698, 557, 749, 521, 713, 466, 658, 427, 619, 465, 657, 520, 712, 558, 750, 507, 699, 453, 645)(430, 622, 471, 663, 527, 719, 563, 755, 575, 767, 571, 763, 541, 733, 483, 675, 436, 628, 482, 674, 528, 720, 472, 664)(434, 626, 478, 670, 535, 727, 567, 759, 550, 742, 492, 684, 441, 633, 491, 683, 549, 741, 568, 760, 536, 728, 479, 671)(443, 635, 495, 687, 460, 652, 515, 707, 540, 732, 504, 696, 554, 746, 574, 766, 562, 754, 517, 709, 526, 718, 496, 688)(469, 661, 524, 716, 486, 678, 544, 736, 511, 703, 533, 725, 564, 756, 576, 768, 572, 764, 546, 738, 497, 689, 525, 717)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 443)(32, 400)(33, 447)(34, 446)(35, 450)(36, 402)(37, 454)(38, 403)(39, 458)(40, 460)(41, 462)(42, 456)(43, 406)(44, 467)(45, 469)(46, 408)(47, 473)(48, 472)(49, 476)(50, 410)(51, 480)(52, 411)(53, 484)(54, 486)(55, 488)(56, 482)(57, 414)(58, 493)(59, 415)(60, 478)(61, 497)(62, 418)(63, 417)(64, 491)(65, 490)(66, 419)(67, 504)(68, 470)(69, 485)(70, 421)(71, 509)(72, 426)(73, 511)(74, 423)(75, 479)(76, 424)(77, 492)(78, 425)(79, 517)(80, 475)(81, 474)(82, 487)(83, 428)(84, 523)(85, 429)(86, 452)(87, 526)(88, 432)(89, 431)(90, 465)(91, 464)(92, 433)(93, 533)(94, 444)(95, 459)(96, 435)(97, 538)(98, 440)(99, 540)(100, 437)(101, 453)(102, 438)(103, 466)(104, 439)(105, 546)(106, 449)(107, 448)(108, 461)(109, 442)(110, 552)(111, 524)(112, 529)(113, 445)(114, 545)(115, 528)(116, 525)(117, 554)(118, 535)(119, 541)(120, 451)(121, 549)(122, 531)(123, 547)(124, 553)(125, 455)(126, 539)(127, 457)(128, 532)(129, 544)(130, 562)(131, 542)(132, 527)(133, 463)(134, 536)(135, 550)(136, 534)(137, 548)(138, 561)(139, 468)(140, 495)(141, 500)(142, 471)(143, 516)(144, 499)(145, 496)(146, 564)(147, 506)(148, 512)(149, 477)(150, 520)(151, 502)(152, 518)(153, 563)(154, 481)(155, 510)(156, 483)(157, 503)(158, 515)(159, 572)(160, 513)(161, 498)(162, 489)(163, 507)(164, 521)(165, 505)(166, 519)(167, 571)(168, 494)(169, 508)(170, 501)(171, 570)(172, 569)(173, 567)(174, 568)(175, 566)(176, 565)(177, 522)(178, 514)(179, 537)(180, 530)(181, 560)(182, 559)(183, 557)(184, 558)(185, 556)(186, 555)(187, 551)(188, 543)(189, 575)(190, 576)(191, 573)(192, 574)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 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 E17.2217
Graph:: bipartite
	v = 112 e = 384 f = 240
	degree seq :: [ 4^96, 24^16 ]

E17.2217 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (C2 x C4 x A4) : C2 (small group id <192, 972>)
Aut   = $<384, 17873>$ (small group id <384, 17873>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y1 * Y3^-2 * Y1^-2 * Y3^3 * Y1^-1 * Y3, Y1^-1 * Y3^3 * Y1^2 * Y3^-2 * Y1 * Y3, Y3^-2 * Y1^-1 * Y3 * Y1^2 * Y3^-2 * Y1^-2 * Y3^-1 * Y1, (Y3^2 * Y1^-1)^4, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 61, 253, 29, 221)(17, 209, 37, 229, 75, 267, 39, 231)(20, 212, 43, 235, 83, 275, 41, 233)(22, 214, 47, 239, 90, 282, 45, 237)(24, 216, 51, 243, 68, 260, 53, 245)(26, 218, 46, 238, 70, 262, 42, 234)(27, 219, 56, 248, 102, 294, 58, 250)(30, 222, 59, 251, 72, 264, 40, 232)(32, 224, 65, 257, 74, 266, 63, 255)(33, 225, 67, 259, 115, 307, 69, 261)(36, 228, 73, 265, 121, 313, 71, 263)(38, 230, 77, 269, 57, 249, 79, 271)(44, 236, 87, 279, 48, 240, 85, 277)(50, 242, 95, 287, 116, 308, 94, 286)(52, 244, 98, 290, 141, 333, 100, 292)(54, 246, 81, 273, 122, 314, 92, 284)(55, 247, 84, 276, 123, 315, 103, 295)(60, 252, 107, 299, 120, 312, 109, 301)(62, 254, 86, 278, 118, 310, 106, 298)(64, 256, 80, 272, 119, 311, 91, 283)(66, 258, 113, 305, 127, 319, 112, 304)(76, 268, 126, 318, 104, 296, 125, 317)(78, 270, 129, 321, 108, 300, 131, 323)(82, 274, 133, 325, 89, 281, 135, 327)(88, 280, 139, 331, 156, 348, 138, 330)(93, 285, 142, 334, 96, 288, 136, 328)(97, 289, 134, 326, 158, 350, 117, 309)(99, 291, 147, 339, 170, 362, 140, 332)(101, 293, 132, 324, 111, 303, 137, 329)(105, 297, 128, 320, 159, 351, 151, 343)(110, 302, 124, 316, 160, 352, 149, 341)(114, 306, 150, 342, 179, 371, 155, 347)(130, 322, 165, 357, 184, 376, 161, 353)(143, 335, 157, 349, 181, 373, 172, 364)(144, 336, 167, 359, 145, 337, 168, 360)(146, 338, 169, 361, 180, 372, 171, 363)(148, 340, 166, 358, 182, 374, 173, 365)(152, 344, 164, 356, 153, 345, 178, 370)(154, 346, 162, 354, 183, 375, 163, 355)(174, 366, 189, 381, 191, 383, 188, 380)(175, 367, 186, 378, 176, 368, 187, 379)(177, 369, 190, 382, 192, 384, 185, 377)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 441)(28, 443)(29, 444)(30, 397)(31, 447)(32, 398)(33, 452)(34, 454)(35, 455)(36, 400)(37, 402)(38, 462)(39, 464)(40, 465)(41, 466)(42, 403)(43, 469)(44, 404)(45, 473)(46, 405)(47, 471)(48, 406)(49, 478)(50, 407)(51, 409)(52, 483)(53, 453)(54, 485)(55, 486)(56, 412)(57, 489)(58, 487)(59, 490)(60, 492)(61, 475)(62, 414)(63, 494)(64, 415)(65, 496)(66, 416)(67, 418)(68, 501)(69, 502)(70, 503)(71, 504)(72, 419)(73, 449)(74, 420)(75, 509)(76, 421)(77, 423)(78, 514)(79, 442)(80, 516)(81, 433)(82, 518)(83, 446)(84, 426)(85, 520)(86, 427)(87, 522)(88, 428)(89, 525)(90, 506)(91, 430)(92, 431)(93, 432)(94, 523)(95, 526)(96, 434)(97, 435)(98, 437)(99, 532)(100, 517)(101, 507)(102, 510)(103, 521)(104, 440)(105, 534)(106, 499)(107, 445)(108, 536)(109, 505)(110, 537)(111, 448)(112, 538)(113, 539)(114, 450)(115, 479)(116, 451)(117, 541)(118, 495)(119, 459)(120, 543)(121, 468)(122, 456)(123, 457)(124, 458)(125, 544)(126, 497)(127, 460)(128, 461)(129, 463)(130, 550)(131, 493)(132, 476)(133, 467)(134, 551)(135, 474)(136, 552)(137, 470)(138, 553)(139, 554)(140, 472)(141, 555)(142, 556)(143, 477)(144, 480)(145, 481)(146, 482)(147, 484)(148, 498)(149, 488)(150, 557)(151, 491)(152, 561)(153, 560)(154, 559)(155, 558)(156, 500)(157, 566)(158, 519)(159, 567)(160, 568)(161, 508)(162, 511)(163, 512)(164, 513)(165, 515)(166, 524)(167, 572)(168, 571)(169, 570)(170, 569)(171, 573)(172, 574)(173, 527)(174, 528)(175, 529)(176, 530)(177, 531)(178, 533)(179, 535)(180, 540)(181, 542)(182, 545)(183, 576)(184, 575)(185, 546)(186, 547)(187, 548)(188, 549)(189, 563)(190, 562)(191, 564)(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, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2216
Graph:: simple bipartite
	v = 240 e = 384 f = 112
	degree seq :: [ 2^192, 8^48 ]

E17.2218 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, (T1^-2 * T2 * T1 * T2)^2, T1^12, T1^-3 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 45, 80, 79, 44, 22, 10, 4)(3, 7, 15, 31, 59, 101, 129, 115, 69, 37, 18, 8)(6, 13, 27, 53, 93, 148, 128, 156, 100, 58, 30, 14)(9, 19, 38, 70, 116, 131, 81, 130, 120, 73, 40, 20)(12, 25, 49, 88, 141, 127, 78, 126, 147, 92, 52, 26)(16, 33, 62, 106, 160, 182, 167, 170, 138, 85, 51, 34)(17, 35, 64, 109, 162, 180, 157, 172, 133, 86, 55, 28)(21, 41, 74, 121, 135, 83, 46, 82, 132, 123, 75, 42)(24, 47, 84, 136, 125, 77, 43, 76, 124, 140, 87, 48)(29, 56, 39, 71, 117, 168, 179, 185, 169, 134, 90, 50)(32, 61, 104, 137, 174, 149, 114, 166, 122, 154, 98, 57)(36, 66, 111, 139, 89, 143, 102, 158, 181, 164, 112, 67)(54, 95, 150, 171, 186, 177, 155, 119, 72, 118, 145, 91)(60, 99, 142, 176, 165, 113, 68, 94, 146, 173, 159, 103)(63, 108, 65, 110, 163, 184, 190, 192, 187, 178, 144, 105)(96, 152, 97, 153, 107, 161, 183, 189, 191, 188, 175, 151)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 63)(35, 65)(37, 68)(38, 66)(40, 72)(41, 64)(42, 71)(44, 78)(45, 81)(47, 85)(48, 86)(49, 89)(52, 91)(53, 94)(55, 96)(56, 97)(58, 99)(59, 102)(61, 105)(62, 107)(67, 110)(69, 114)(70, 113)(73, 103)(74, 118)(75, 122)(76, 106)(77, 109)(79, 128)(80, 129)(82, 133)(83, 134)(84, 137)(87, 139)(88, 142)(90, 144)(92, 146)(93, 149)(95, 151)(98, 153)(100, 155)(101, 157)(104, 135)(108, 145)(111, 152)(112, 147)(115, 167)(116, 150)(117, 163)(119, 161)(120, 158)(121, 159)(123, 165)(124, 154)(125, 164)(126, 168)(127, 160)(130, 169)(131, 170)(132, 171)(136, 173)(138, 175)(140, 176)(141, 177)(143, 178)(148, 179)(156, 180)(162, 183)(166, 184)(172, 187)(174, 188)(181, 189)(182, 190)(185, 191)(186, 192)
	local type(s) :: { ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2219
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 16 e = 96 f = 48
	degree seq :: [ 12^16 ]

E17.2219 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 12})
Quotient :: regular
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1^-1 * T2 * T1^-1 * T2 * T1)^2, (T1^-1 * T2)^12 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 77, 49)(30, 50, 78, 51)(32, 53, 82, 54)(33, 55, 85, 56)(34, 57, 88, 58)(42, 69, 94, 64)(43, 70, 84, 61)(45, 72, 86, 63)(46, 73, 103, 74)(47, 75, 105, 76)(52, 80, 109, 81)(60, 92, 115, 87)(66, 96, 121, 93)(67, 97, 126, 98)(68, 99, 118, 90)(71, 101, 130, 102)(79, 83, 113, 108)(89, 117, 143, 114)(91, 119, 140, 111)(95, 123, 153, 124)(100, 129, 157, 127)(104, 125, 155, 133)(106, 112, 141, 135)(107, 110, 139, 136)(116, 145, 172, 146)(120, 150, 174, 148)(122, 147, 173, 152)(128, 149, 168, 156)(131, 151, 170, 159)(132, 154, 176, 160)(134, 162, 180, 161)(137, 158, 179, 163)(138, 164, 181, 165)(142, 169, 183, 167)(144, 166, 182, 171)(175, 184, 190, 187)(177, 189, 191, 185)(178, 188, 192, 186)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 71)(48, 73)(49, 70)(50, 72)(51, 79)(53, 83)(54, 84)(55, 86)(56, 87)(57, 89)(58, 90)(59, 91)(62, 93)(65, 95)(69, 100)(74, 104)(75, 101)(76, 106)(77, 97)(78, 107)(80, 110)(81, 111)(82, 112)(85, 114)(88, 116)(92, 120)(94, 122)(96, 125)(98, 127)(99, 128)(102, 131)(103, 132)(105, 134)(108, 137)(109, 138)(113, 142)(115, 144)(117, 147)(118, 148)(119, 149)(121, 151)(123, 154)(124, 152)(126, 156)(129, 145)(130, 158)(133, 161)(135, 160)(136, 159)(139, 166)(140, 167)(141, 168)(143, 170)(146, 171)(150, 164)(153, 175)(155, 177)(157, 178)(162, 169)(163, 165)(172, 184)(173, 185)(174, 186)(176, 188)(179, 189)(180, 187)(181, 190)(182, 191)(183, 192)
	local type(s) :: { ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2218
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 96 f = 16
	degree seq :: [ 4^48 ]

E17.2220 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^2, (T2^-1 * T1)^12 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 69, 43)(28, 47, 75, 48)(30, 50, 78, 51)(31, 52, 81, 53)(33, 55, 84, 56)(36, 60, 90, 61)(38, 63, 93, 64)(41, 67, 99, 68)(44, 70, 101, 71)(46, 73, 104, 74)(49, 76, 105, 77)(54, 82, 113, 83)(57, 85, 115, 86)(59, 88, 118, 89)(62, 91, 119, 92)(65, 95, 124, 96)(72, 102, 133, 103)(79, 100, 130, 108)(80, 109, 139, 110)(87, 116, 148, 117)(94, 114, 145, 122)(97, 125, 155, 126)(98, 127, 156, 128)(106, 131, 159, 135)(107, 132, 160, 136)(111, 140, 166, 141)(112, 142, 167, 143)(120, 146, 170, 150)(121, 147, 171, 151)(123, 153, 168, 144)(129, 138, 164, 157)(134, 162, 174, 152)(137, 149, 173, 163)(154, 176, 188, 177)(158, 179, 189, 178)(161, 175, 187, 180)(165, 182, 191, 183)(169, 185, 192, 184)(172, 181, 190, 186)(193, 194)(195, 199)(196, 201)(197, 202)(198, 204)(200, 207)(203, 212)(205, 215)(206, 217)(208, 220)(209, 222)(210, 223)(211, 225)(213, 228)(214, 230)(216, 233)(218, 236)(219, 238)(221, 241)(224, 246)(226, 249)(227, 251)(229, 254)(231, 257)(232, 248)(234, 253)(235, 245)(237, 264)(239, 255)(240, 247)(242, 252)(243, 271)(244, 272)(250, 279)(256, 286)(258, 289)(259, 290)(260, 275)(261, 278)(262, 292)(263, 276)(265, 282)(266, 288)(267, 280)(268, 283)(269, 298)(270, 299)(273, 303)(274, 304)(277, 306)(281, 302)(284, 312)(285, 313)(287, 315)(291, 321)(293, 323)(294, 324)(295, 318)(296, 320)(297, 326)(300, 329)(301, 330)(305, 336)(307, 338)(308, 339)(309, 333)(310, 335)(311, 341)(314, 344)(316, 346)(317, 334)(319, 332)(322, 350)(325, 353)(327, 343)(328, 342)(331, 357)(337, 361)(340, 364)(345, 367)(347, 370)(348, 362)(349, 369)(351, 359)(352, 368)(354, 371)(355, 372)(356, 373)(358, 376)(360, 375)(363, 374)(365, 377)(366, 378)(379, 382)(380, 384)(381, 383)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 24, 24 ), ( 24^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2224
Transitivity :: ET+
Graph:: simple bipartite
	v = 144 e = 192 f = 16
	degree seq :: [ 2^96, 4^48 ]

E17.2221 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-3 * T1^-1 * T2 * T1 * T2^-2 * T1^2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1^-2 * T2^-2 * T1^-1, T2^-2 * T1^-2 * T2^2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, (T2^5 * T1^-1)^2, T2^12 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 103, 167, 126, 68, 32, 14, 5)(2, 7, 17, 38, 80, 141, 184, 160, 92, 44, 20, 8)(4, 12, 27, 58, 112, 172, 189, 165, 98, 48, 22, 9)(6, 15, 33, 70, 129, 174, 190, 183, 138, 76, 36, 16)(11, 26, 55, 109, 171, 125, 152, 87, 151, 101, 50, 23)(13, 29, 61, 86, 150, 115, 166, 104, 168, 120, 64, 30)(18, 40, 83, 147, 186, 159, 179, 135, 99, 49, 78, 37)(19, 41, 85, 134, 108, 56, 111, 142, 185, 154, 88, 42)(21, 45, 93, 62, 116, 132, 178, 173, 187, 162, 96, 46)(25, 54, 106, 153, 124, 67, 123, 148, 181, 137, 75, 51)(28, 60, 114, 169, 188, 164, 118, 63, 117, 127, 100, 57)(31, 65, 71, 130, 176, 145, 102, 53, 105, 155, 122, 66)(34, 72, 131, 177, 192, 182, 161, 95, 139, 77, 128, 69)(35, 73, 133, 94, 146, 84, 149, 175, 191, 180, 136, 74)(39, 82, 144, 107, 158, 91, 157, 121, 163, 97, 47, 79)(43, 89, 59, 113, 170, 119, 140, 81, 143, 110, 156, 90)(193, 194, 198, 196)(195, 201, 213, 203)(197, 205, 210, 199)(200, 211, 226, 207)(202, 215, 241, 217)(204, 208, 227, 220)(206, 223, 254, 221)(209, 229, 269, 231)(212, 235, 278, 233)(214, 239, 286, 237)(216, 243, 268, 245)(218, 238, 287, 248)(219, 249, 293, 251)(222, 255, 276, 232)(224, 259, 262, 257)(225, 261, 319, 263)(228, 267, 326, 265)(230, 271, 240, 273)(234, 279, 324, 264)(236, 283, 250, 281)(242, 292, 320, 270)(244, 294, 354, 296)(246, 291, 328, 299)(247, 300, 329, 302)(252, 266, 327, 307)(253, 285, 325, 277)(256, 311, 322, 309)(258, 313, 323, 308)(260, 317, 339, 315)(272, 332, 312, 334)(274, 331, 288, 337)(275, 338, 289, 340)(280, 345, 305, 343)(282, 347, 306, 342)(284, 351, 369, 349)(290, 356, 301, 335)(295, 358, 371, 352)(297, 330, 374, 361)(298, 336, 368, 362)(303, 353, 375, 333)(304, 350, 372, 365)(310, 357, 366, 341)(314, 348, 373, 355)(316, 346, 367, 321)(318, 364, 370, 344)(359, 376, 382, 381)(360, 379, 383, 377)(363, 380, 384, 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) :: { ( 4^4 ), ( 4^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2225
Transitivity :: ET+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 4^48, 12^16 ]

E17.2222 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 12})
Quotient :: edge
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, T1^12, T1^-3 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-6)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 46)(25, 50)(26, 51)(27, 54)(30, 57)(31, 60)(34, 63)(35, 65)(37, 68)(38, 66)(40, 72)(41, 64)(42, 71)(44, 78)(45, 81)(47, 85)(48, 86)(49, 89)(52, 91)(53, 94)(55, 96)(56, 97)(58, 99)(59, 102)(61, 105)(62, 107)(67, 110)(69, 114)(70, 113)(73, 103)(74, 118)(75, 122)(76, 106)(77, 109)(79, 128)(80, 129)(82, 133)(83, 134)(84, 137)(87, 139)(88, 142)(90, 144)(92, 146)(93, 149)(95, 151)(98, 153)(100, 155)(101, 157)(104, 135)(108, 145)(111, 152)(112, 147)(115, 167)(116, 150)(117, 163)(119, 161)(120, 158)(121, 159)(123, 165)(124, 154)(125, 164)(126, 168)(127, 160)(130, 169)(131, 170)(132, 171)(136, 173)(138, 175)(140, 176)(141, 177)(143, 178)(148, 179)(156, 180)(162, 183)(166, 184)(172, 187)(174, 188)(181, 189)(182, 190)(185, 191)(186, 192)(193, 194, 197, 203, 215, 237, 272, 271, 236, 214, 202, 196)(195, 199, 207, 223, 251, 293, 321, 307, 261, 229, 210, 200)(198, 205, 219, 245, 285, 340, 320, 348, 292, 250, 222, 206)(201, 211, 230, 262, 308, 323, 273, 322, 312, 265, 232, 212)(204, 217, 241, 280, 333, 319, 270, 318, 339, 284, 244, 218)(208, 225, 254, 298, 352, 374, 359, 362, 330, 277, 243, 226)(209, 227, 256, 301, 354, 372, 349, 364, 325, 278, 247, 220)(213, 233, 266, 313, 327, 275, 238, 274, 324, 315, 267, 234)(216, 239, 276, 328, 317, 269, 235, 268, 316, 332, 279, 240)(221, 248, 231, 263, 309, 360, 371, 377, 361, 326, 282, 242)(224, 253, 296, 329, 366, 341, 306, 358, 314, 346, 290, 249)(228, 258, 303, 331, 281, 335, 294, 350, 373, 356, 304, 259)(246, 287, 342, 363, 378, 369, 347, 311, 264, 310, 337, 283)(252, 291, 334, 368, 357, 305, 260, 286, 338, 365, 351, 295)(255, 300, 257, 302, 355, 376, 382, 384, 379, 370, 336, 297)(288, 344, 289, 345, 299, 353, 375, 381, 383, 380, 367, 343)
	L = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)
	local type(s) :: { ( 8, 8 ), ( 8^12 ) }
Outer automorphisms :: reflexible
Dual of E17.2223
Transitivity :: ET+
Graph:: simple bipartite
	v = 112 e = 192 f = 48
	degree seq :: [ 2^96, 12^16 ]

E17.2223 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T1 * T2^-1 * T1 * T2^-1 * T1 * T2)^2, (T2^-1 * T1)^12 ]
Map::
	R = (1, 193, 3, 195, 8, 200, 4, 196)(2, 194, 5, 197, 11, 203, 6, 198)(7, 199, 13, 205, 24, 216, 14, 206)(9, 201, 16, 208, 29, 221, 17, 209)(10, 202, 18, 210, 32, 224, 19, 211)(12, 204, 21, 213, 37, 229, 22, 214)(15, 207, 26, 218, 45, 237, 27, 219)(20, 212, 34, 226, 58, 250, 35, 227)(23, 215, 39, 231, 66, 258, 40, 232)(25, 217, 42, 234, 69, 261, 43, 235)(28, 220, 47, 239, 75, 267, 48, 240)(30, 222, 50, 242, 78, 270, 51, 243)(31, 223, 52, 244, 81, 273, 53, 245)(33, 225, 55, 247, 84, 276, 56, 248)(36, 228, 60, 252, 90, 282, 61, 253)(38, 230, 63, 255, 93, 285, 64, 256)(41, 233, 67, 259, 99, 291, 68, 260)(44, 236, 70, 262, 101, 293, 71, 263)(46, 238, 73, 265, 104, 296, 74, 266)(49, 241, 76, 268, 105, 297, 77, 269)(54, 246, 82, 274, 113, 305, 83, 275)(57, 249, 85, 277, 115, 307, 86, 278)(59, 251, 88, 280, 118, 310, 89, 281)(62, 254, 91, 283, 119, 311, 92, 284)(65, 257, 95, 287, 124, 316, 96, 288)(72, 264, 102, 294, 133, 325, 103, 295)(79, 271, 100, 292, 130, 322, 108, 300)(80, 272, 109, 301, 139, 331, 110, 302)(87, 279, 116, 308, 148, 340, 117, 309)(94, 286, 114, 306, 145, 337, 122, 314)(97, 289, 125, 317, 155, 347, 126, 318)(98, 290, 127, 319, 156, 348, 128, 320)(106, 298, 131, 323, 159, 351, 135, 327)(107, 299, 132, 324, 160, 352, 136, 328)(111, 303, 140, 332, 166, 358, 141, 333)(112, 304, 142, 334, 167, 359, 143, 335)(120, 312, 146, 338, 170, 362, 150, 342)(121, 313, 147, 339, 171, 363, 151, 343)(123, 315, 153, 345, 168, 360, 144, 336)(129, 321, 138, 330, 164, 356, 157, 349)(134, 326, 162, 354, 174, 366, 152, 344)(137, 329, 149, 341, 173, 365, 163, 355)(154, 346, 176, 368, 188, 380, 177, 369)(158, 350, 179, 371, 189, 381, 178, 370)(161, 353, 175, 367, 187, 379, 180, 372)(165, 357, 182, 374, 191, 383, 183, 375)(169, 361, 185, 377, 192, 384, 184, 376)(172, 364, 181, 373, 190, 382, 186, 378)
	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, 257)(40, 248)(41, 216)(42, 253)(43, 245)(44, 218)(45, 264)(46, 219)(47, 255)(48, 247)(49, 221)(50, 252)(51, 271)(52, 272)(53, 235)(54, 224)(55, 240)(56, 232)(57, 226)(58, 279)(59, 227)(60, 242)(61, 234)(62, 229)(63, 239)(64, 286)(65, 231)(66, 289)(67, 290)(68, 275)(69, 278)(70, 292)(71, 276)(72, 237)(73, 282)(74, 288)(75, 280)(76, 283)(77, 298)(78, 299)(79, 243)(80, 244)(81, 303)(82, 304)(83, 260)(84, 263)(85, 306)(86, 261)(87, 250)(88, 267)(89, 302)(90, 265)(91, 268)(92, 312)(93, 313)(94, 256)(95, 315)(96, 266)(97, 258)(98, 259)(99, 321)(100, 262)(101, 323)(102, 324)(103, 318)(104, 320)(105, 326)(106, 269)(107, 270)(108, 329)(109, 330)(110, 281)(111, 273)(112, 274)(113, 336)(114, 277)(115, 338)(116, 339)(117, 333)(118, 335)(119, 341)(120, 284)(121, 285)(122, 344)(123, 287)(124, 346)(125, 334)(126, 295)(127, 332)(128, 296)(129, 291)(130, 350)(131, 293)(132, 294)(133, 353)(134, 297)(135, 343)(136, 342)(137, 300)(138, 301)(139, 357)(140, 319)(141, 309)(142, 317)(143, 310)(144, 305)(145, 361)(146, 307)(147, 308)(148, 364)(149, 311)(150, 328)(151, 327)(152, 314)(153, 367)(154, 316)(155, 370)(156, 362)(157, 369)(158, 322)(159, 359)(160, 368)(161, 325)(162, 371)(163, 372)(164, 373)(165, 331)(166, 376)(167, 351)(168, 375)(169, 337)(170, 348)(171, 374)(172, 340)(173, 377)(174, 378)(175, 345)(176, 352)(177, 349)(178, 347)(179, 354)(180, 355)(181, 356)(182, 363)(183, 360)(184, 358)(185, 365)(186, 366)(187, 382)(188, 384)(189, 383)(190, 379)(191, 381)(192, 380)
	local type(s) :: { ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2222
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 192 f = 112
	degree seq :: [ 8^48 ]

E17.2224 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, T1^4, (F * T2)^2, (F * T1)^2, T2^-3 * T1^-1 * T2 * T1 * T2^-2 * T1^2, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1^-2 * T2^-2 * T1^-1, T2^-2 * T1^-2 * T2^2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, (T2^5 * T1^-1)^2, T2^12 ]
Map::
	R = (1, 193, 3, 195, 10, 202, 24, 216, 52, 244, 103, 295, 167, 359, 126, 318, 68, 260, 32, 224, 14, 206, 5, 197)(2, 194, 7, 199, 17, 209, 38, 230, 80, 272, 141, 333, 184, 376, 160, 352, 92, 284, 44, 236, 20, 212, 8, 200)(4, 196, 12, 204, 27, 219, 58, 250, 112, 304, 172, 364, 189, 381, 165, 357, 98, 290, 48, 240, 22, 214, 9, 201)(6, 198, 15, 207, 33, 225, 70, 262, 129, 321, 174, 366, 190, 382, 183, 375, 138, 330, 76, 268, 36, 228, 16, 208)(11, 203, 26, 218, 55, 247, 109, 301, 171, 363, 125, 317, 152, 344, 87, 279, 151, 343, 101, 293, 50, 242, 23, 215)(13, 205, 29, 221, 61, 253, 86, 278, 150, 342, 115, 307, 166, 358, 104, 296, 168, 360, 120, 312, 64, 256, 30, 222)(18, 210, 40, 232, 83, 275, 147, 339, 186, 378, 159, 351, 179, 371, 135, 327, 99, 291, 49, 241, 78, 270, 37, 229)(19, 211, 41, 233, 85, 277, 134, 326, 108, 300, 56, 248, 111, 303, 142, 334, 185, 377, 154, 346, 88, 280, 42, 234)(21, 213, 45, 237, 93, 285, 62, 254, 116, 308, 132, 324, 178, 370, 173, 365, 187, 379, 162, 354, 96, 288, 46, 238)(25, 217, 54, 246, 106, 298, 153, 345, 124, 316, 67, 259, 123, 315, 148, 340, 181, 373, 137, 329, 75, 267, 51, 243)(28, 220, 60, 252, 114, 306, 169, 361, 188, 380, 164, 356, 118, 310, 63, 255, 117, 309, 127, 319, 100, 292, 57, 249)(31, 223, 65, 257, 71, 263, 130, 322, 176, 368, 145, 337, 102, 294, 53, 245, 105, 297, 155, 347, 122, 314, 66, 258)(34, 226, 72, 264, 131, 323, 177, 369, 192, 384, 182, 374, 161, 353, 95, 287, 139, 331, 77, 269, 128, 320, 69, 261)(35, 227, 73, 265, 133, 325, 94, 286, 146, 338, 84, 276, 149, 341, 175, 367, 191, 383, 180, 372, 136, 328, 74, 266)(39, 231, 82, 274, 144, 336, 107, 299, 158, 350, 91, 283, 157, 349, 121, 313, 163, 355, 97, 289, 47, 239, 79, 271)(43, 235, 89, 281, 59, 251, 113, 305, 170, 362, 119, 311, 140, 332, 81, 273, 143, 335, 110, 302, 156, 348, 90, 282)
	L = (1, 194)(2, 198)(3, 201)(4, 193)(5, 205)(6, 196)(7, 197)(8, 211)(9, 213)(10, 215)(11, 195)(12, 208)(13, 210)(14, 223)(15, 200)(16, 227)(17, 229)(18, 199)(19, 226)(20, 235)(21, 203)(22, 239)(23, 241)(24, 243)(25, 202)(26, 238)(27, 249)(28, 204)(29, 206)(30, 255)(31, 254)(32, 259)(33, 261)(34, 207)(35, 220)(36, 267)(37, 269)(38, 271)(39, 209)(40, 222)(41, 212)(42, 279)(43, 278)(44, 283)(45, 214)(46, 287)(47, 286)(48, 273)(49, 217)(50, 292)(51, 268)(52, 294)(53, 216)(54, 291)(55, 300)(56, 218)(57, 293)(58, 281)(59, 219)(60, 266)(61, 285)(62, 221)(63, 276)(64, 311)(65, 224)(66, 313)(67, 262)(68, 317)(69, 319)(70, 257)(71, 225)(72, 234)(73, 228)(74, 327)(75, 326)(76, 245)(77, 231)(78, 242)(79, 240)(80, 332)(81, 230)(82, 331)(83, 338)(84, 232)(85, 253)(86, 233)(87, 324)(88, 345)(89, 236)(90, 347)(91, 250)(92, 351)(93, 325)(94, 237)(95, 248)(96, 337)(97, 340)(98, 356)(99, 328)(100, 320)(101, 251)(102, 354)(103, 358)(104, 244)(105, 330)(106, 336)(107, 246)(108, 329)(109, 335)(110, 247)(111, 353)(112, 350)(113, 343)(114, 342)(115, 252)(116, 258)(117, 256)(118, 357)(119, 322)(120, 334)(121, 323)(122, 348)(123, 260)(124, 346)(125, 339)(126, 364)(127, 263)(128, 270)(129, 316)(130, 309)(131, 308)(132, 264)(133, 277)(134, 265)(135, 307)(136, 299)(137, 302)(138, 374)(139, 288)(140, 312)(141, 303)(142, 272)(143, 290)(144, 368)(145, 274)(146, 289)(147, 315)(148, 275)(149, 310)(150, 282)(151, 280)(152, 318)(153, 305)(154, 367)(155, 306)(156, 373)(157, 284)(158, 372)(159, 369)(160, 295)(161, 375)(162, 296)(163, 314)(164, 301)(165, 366)(166, 371)(167, 376)(168, 379)(169, 297)(170, 298)(171, 380)(172, 370)(173, 304)(174, 341)(175, 321)(176, 362)(177, 349)(178, 344)(179, 352)(180, 365)(181, 355)(182, 361)(183, 333)(184, 382)(185, 360)(186, 363)(187, 383)(188, 384)(189, 359)(190, 381)(191, 377)(192, 378)
	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 E17.2220
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 16 e = 192 f = 144
	degree seq :: [ 24^16 ]

E17.2225 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 12})
Quotient :: loop
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, (T1^-1 * T2 * T1 * T2 * T1^-1)^2, T1^12, T1^-3 * T2 * T1^2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, (T2 * T1^-6)^2 ]
Map:: polytopal non-degenerate
	R = (1, 193, 3, 195)(2, 194, 6, 198)(4, 196, 9, 201)(5, 197, 12, 204)(7, 199, 16, 208)(8, 200, 17, 209)(10, 202, 21, 213)(11, 203, 24, 216)(13, 205, 28, 220)(14, 206, 29, 221)(15, 207, 32, 224)(18, 210, 36, 228)(19, 211, 39, 231)(20, 212, 33, 225)(22, 214, 43, 235)(23, 215, 46, 238)(25, 217, 50, 242)(26, 218, 51, 243)(27, 219, 54, 246)(30, 222, 57, 249)(31, 223, 60, 252)(34, 226, 63, 255)(35, 227, 65, 257)(37, 229, 68, 260)(38, 230, 66, 258)(40, 232, 72, 264)(41, 233, 64, 256)(42, 234, 71, 263)(44, 236, 78, 270)(45, 237, 81, 273)(47, 239, 85, 277)(48, 240, 86, 278)(49, 241, 89, 281)(52, 244, 91, 283)(53, 245, 94, 286)(55, 247, 96, 288)(56, 248, 97, 289)(58, 250, 99, 291)(59, 251, 102, 294)(61, 253, 105, 297)(62, 254, 107, 299)(67, 259, 110, 302)(69, 261, 114, 306)(70, 262, 113, 305)(73, 265, 103, 295)(74, 266, 118, 310)(75, 267, 122, 314)(76, 268, 106, 298)(77, 269, 109, 301)(79, 271, 128, 320)(80, 272, 129, 321)(82, 274, 133, 325)(83, 275, 134, 326)(84, 276, 137, 329)(87, 279, 139, 331)(88, 280, 142, 334)(90, 282, 144, 336)(92, 284, 146, 338)(93, 285, 149, 341)(95, 287, 151, 343)(98, 290, 153, 345)(100, 292, 155, 347)(101, 293, 157, 349)(104, 296, 135, 327)(108, 300, 145, 337)(111, 303, 152, 344)(112, 304, 147, 339)(115, 307, 167, 359)(116, 308, 150, 342)(117, 309, 163, 355)(119, 311, 161, 353)(120, 312, 158, 350)(121, 313, 159, 351)(123, 315, 165, 357)(124, 316, 154, 346)(125, 317, 164, 356)(126, 318, 168, 360)(127, 319, 160, 352)(130, 322, 169, 361)(131, 323, 170, 362)(132, 324, 171, 363)(136, 328, 173, 365)(138, 330, 175, 367)(140, 332, 176, 368)(141, 333, 177, 369)(143, 335, 178, 370)(148, 340, 179, 371)(156, 348, 180, 372)(162, 354, 183, 375)(166, 358, 184, 376)(172, 364, 187, 379)(174, 366, 188, 380)(181, 373, 189, 381)(182, 374, 190, 382)(185, 377, 191, 383)(186, 378, 192, 384)
	L = (1, 194)(2, 197)(3, 199)(4, 193)(5, 203)(6, 205)(7, 207)(8, 195)(9, 211)(10, 196)(11, 215)(12, 217)(13, 219)(14, 198)(15, 223)(16, 225)(17, 227)(18, 200)(19, 230)(20, 201)(21, 233)(22, 202)(23, 237)(24, 239)(25, 241)(26, 204)(27, 245)(28, 209)(29, 248)(30, 206)(31, 251)(32, 253)(33, 254)(34, 208)(35, 256)(36, 258)(37, 210)(38, 262)(39, 263)(40, 212)(41, 266)(42, 213)(43, 268)(44, 214)(45, 272)(46, 274)(47, 276)(48, 216)(49, 280)(50, 221)(51, 226)(52, 218)(53, 285)(54, 287)(55, 220)(56, 231)(57, 224)(58, 222)(59, 293)(60, 291)(61, 296)(62, 298)(63, 300)(64, 301)(65, 302)(66, 303)(67, 228)(68, 286)(69, 229)(70, 308)(71, 309)(72, 310)(73, 232)(74, 313)(75, 234)(76, 316)(77, 235)(78, 318)(79, 236)(80, 271)(81, 322)(82, 324)(83, 238)(84, 328)(85, 243)(86, 247)(87, 240)(88, 333)(89, 335)(90, 242)(91, 246)(92, 244)(93, 340)(94, 338)(95, 342)(96, 344)(97, 345)(98, 249)(99, 334)(100, 250)(101, 321)(102, 350)(103, 252)(104, 329)(105, 255)(106, 352)(107, 353)(108, 257)(109, 354)(110, 355)(111, 331)(112, 259)(113, 260)(114, 358)(115, 261)(116, 323)(117, 360)(118, 337)(119, 264)(120, 265)(121, 327)(122, 346)(123, 267)(124, 332)(125, 269)(126, 339)(127, 270)(128, 348)(129, 307)(130, 312)(131, 273)(132, 315)(133, 278)(134, 282)(135, 275)(136, 317)(137, 366)(138, 277)(139, 281)(140, 279)(141, 319)(142, 368)(143, 294)(144, 297)(145, 283)(146, 365)(147, 284)(148, 320)(149, 306)(150, 363)(151, 288)(152, 289)(153, 299)(154, 290)(155, 311)(156, 292)(157, 364)(158, 373)(159, 295)(160, 374)(161, 375)(162, 372)(163, 376)(164, 304)(165, 305)(166, 314)(167, 362)(168, 371)(169, 326)(170, 330)(171, 378)(172, 325)(173, 351)(174, 341)(175, 343)(176, 357)(177, 347)(178, 336)(179, 377)(180, 349)(181, 356)(182, 359)(183, 381)(184, 382)(185, 361)(186, 369)(187, 370)(188, 367)(189, 383)(190, 384)(191, 380)(192, 379)
	local type(s) :: { ( 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2221
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2226 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2)^2, (Y3 * Y2^-1)^12 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 10, 202)(6, 198, 12, 204)(8, 200, 15, 207)(11, 203, 20, 212)(13, 205, 23, 215)(14, 206, 25, 217)(16, 208, 28, 220)(17, 209, 30, 222)(18, 210, 31, 223)(19, 211, 33, 225)(21, 213, 36, 228)(22, 214, 38, 230)(24, 216, 41, 233)(26, 218, 44, 236)(27, 219, 46, 238)(29, 221, 49, 241)(32, 224, 54, 246)(34, 226, 57, 249)(35, 227, 59, 251)(37, 229, 62, 254)(39, 231, 65, 257)(40, 232, 56, 248)(42, 234, 61, 253)(43, 235, 53, 245)(45, 237, 72, 264)(47, 239, 63, 255)(48, 240, 55, 247)(50, 242, 60, 252)(51, 243, 79, 271)(52, 244, 80, 272)(58, 250, 87, 279)(64, 256, 94, 286)(66, 258, 97, 289)(67, 259, 98, 290)(68, 260, 83, 275)(69, 261, 86, 278)(70, 262, 100, 292)(71, 263, 84, 276)(73, 265, 90, 282)(74, 266, 96, 288)(75, 267, 88, 280)(76, 268, 91, 283)(77, 269, 106, 298)(78, 270, 107, 299)(81, 273, 111, 303)(82, 274, 112, 304)(85, 277, 114, 306)(89, 281, 110, 302)(92, 284, 120, 312)(93, 285, 121, 313)(95, 287, 123, 315)(99, 291, 129, 321)(101, 293, 131, 323)(102, 294, 132, 324)(103, 295, 126, 318)(104, 296, 128, 320)(105, 297, 134, 326)(108, 300, 137, 329)(109, 301, 138, 330)(113, 305, 144, 336)(115, 307, 146, 338)(116, 308, 147, 339)(117, 309, 141, 333)(118, 310, 143, 335)(119, 311, 149, 341)(122, 314, 152, 344)(124, 316, 154, 346)(125, 317, 142, 334)(127, 319, 140, 332)(130, 322, 158, 350)(133, 325, 161, 353)(135, 327, 151, 343)(136, 328, 150, 342)(139, 331, 165, 357)(145, 337, 169, 361)(148, 340, 172, 364)(153, 345, 175, 367)(155, 347, 178, 370)(156, 348, 170, 362)(157, 349, 177, 369)(159, 351, 167, 359)(160, 352, 176, 368)(162, 354, 179, 371)(163, 355, 180, 372)(164, 356, 181, 373)(166, 358, 184, 376)(168, 360, 183, 375)(171, 363, 182, 374)(173, 365, 185, 377)(174, 366, 186, 378)(187, 379, 190, 382)(188, 380, 192, 384)(189, 381, 191, 383)(385, 577, 387, 579, 392, 584, 388, 580)(386, 578, 389, 581, 395, 587, 390, 582)(391, 583, 397, 589, 408, 600, 398, 590)(393, 585, 400, 592, 413, 605, 401, 593)(394, 586, 402, 594, 416, 608, 403, 595)(396, 588, 405, 597, 421, 613, 406, 598)(399, 591, 410, 602, 429, 621, 411, 603)(404, 596, 418, 610, 442, 634, 419, 611)(407, 599, 423, 615, 450, 642, 424, 616)(409, 601, 426, 618, 453, 645, 427, 619)(412, 604, 431, 623, 459, 651, 432, 624)(414, 606, 434, 626, 462, 654, 435, 627)(415, 607, 436, 628, 465, 657, 437, 629)(417, 609, 439, 631, 468, 660, 440, 632)(420, 612, 444, 636, 474, 666, 445, 637)(422, 614, 447, 639, 477, 669, 448, 640)(425, 617, 451, 643, 483, 675, 452, 644)(428, 620, 454, 646, 485, 677, 455, 647)(430, 622, 457, 649, 488, 680, 458, 650)(433, 625, 460, 652, 489, 681, 461, 653)(438, 630, 466, 658, 497, 689, 467, 659)(441, 633, 469, 661, 499, 691, 470, 662)(443, 635, 472, 664, 502, 694, 473, 665)(446, 638, 475, 667, 503, 695, 476, 668)(449, 641, 479, 671, 508, 700, 480, 672)(456, 648, 486, 678, 517, 709, 487, 679)(463, 655, 484, 676, 514, 706, 492, 684)(464, 656, 493, 685, 523, 715, 494, 686)(471, 663, 500, 692, 532, 724, 501, 693)(478, 670, 498, 690, 529, 721, 506, 698)(481, 673, 509, 701, 539, 731, 510, 702)(482, 674, 511, 703, 540, 732, 512, 704)(490, 682, 515, 707, 543, 735, 519, 711)(491, 683, 516, 708, 544, 736, 520, 712)(495, 687, 524, 716, 550, 742, 525, 717)(496, 688, 526, 718, 551, 743, 527, 719)(504, 696, 530, 722, 554, 746, 534, 726)(505, 697, 531, 723, 555, 747, 535, 727)(507, 699, 537, 729, 552, 744, 528, 720)(513, 705, 522, 714, 548, 740, 541, 733)(518, 710, 546, 738, 558, 750, 536, 728)(521, 713, 533, 725, 557, 749, 547, 739)(538, 730, 560, 752, 572, 764, 561, 753)(542, 734, 563, 755, 573, 765, 562, 754)(545, 737, 559, 751, 571, 763, 564, 756)(549, 741, 566, 758, 575, 767, 567, 759)(553, 745, 569, 761, 576, 768, 568, 760)(556, 748, 565, 757, 574, 766, 570, 762)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 449)(40, 440)(41, 408)(42, 445)(43, 437)(44, 410)(45, 456)(46, 411)(47, 447)(48, 439)(49, 413)(50, 444)(51, 463)(52, 464)(53, 427)(54, 416)(55, 432)(56, 424)(57, 418)(58, 471)(59, 419)(60, 434)(61, 426)(62, 421)(63, 431)(64, 478)(65, 423)(66, 481)(67, 482)(68, 467)(69, 470)(70, 484)(71, 468)(72, 429)(73, 474)(74, 480)(75, 472)(76, 475)(77, 490)(78, 491)(79, 435)(80, 436)(81, 495)(82, 496)(83, 452)(84, 455)(85, 498)(86, 453)(87, 442)(88, 459)(89, 494)(90, 457)(91, 460)(92, 504)(93, 505)(94, 448)(95, 507)(96, 458)(97, 450)(98, 451)(99, 513)(100, 454)(101, 515)(102, 516)(103, 510)(104, 512)(105, 518)(106, 461)(107, 462)(108, 521)(109, 522)(110, 473)(111, 465)(112, 466)(113, 528)(114, 469)(115, 530)(116, 531)(117, 525)(118, 527)(119, 533)(120, 476)(121, 477)(122, 536)(123, 479)(124, 538)(125, 526)(126, 487)(127, 524)(128, 488)(129, 483)(130, 542)(131, 485)(132, 486)(133, 545)(134, 489)(135, 535)(136, 534)(137, 492)(138, 493)(139, 549)(140, 511)(141, 501)(142, 509)(143, 502)(144, 497)(145, 553)(146, 499)(147, 500)(148, 556)(149, 503)(150, 520)(151, 519)(152, 506)(153, 559)(154, 508)(155, 562)(156, 554)(157, 561)(158, 514)(159, 551)(160, 560)(161, 517)(162, 563)(163, 564)(164, 565)(165, 523)(166, 568)(167, 543)(168, 567)(169, 529)(170, 540)(171, 566)(172, 532)(173, 569)(174, 570)(175, 537)(176, 544)(177, 541)(178, 539)(179, 546)(180, 547)(181, 548)(182, 555)(183, 552)(184, 550)(185, 557)(186, 558)(187, 574)(188, 576)(189, 575)(190, 571)(191, 573)(192, 572)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 24, 2, 24 ), ( 2, 24, 2, 24, 2, 24, 2, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2229
Graph:: bipartite
	v = 144 e = 384 f = 208
	degree seq :: [ 4^96, 8^48 ]

E17.2227 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y1 * Y2)^2, (R * Y3)^2, Y1^4, (Y3^-1 * Y1^-1)^2, Y2 * Y1^-1 * Y2^-3 * Y1^-2 * Y2^-2 * Y1, Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1, (Y2 * Y1^-1 * Y2^-2 * Y1)^2, Y2 * Y1^-1 * Y2^-5 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-2 * Y2^2 * Y1 * Y2^-2 * Y1^-1, (Y2^5 * Y1^-1)^2, Y2^12 ]
Map::
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 62, 254, 29, 221)(17, 209, 37, 229, 77, 269, 39, 231)(20, 212, 43, 235, 86, 278, 41, 233)(22, 214, 47, 239, 94, 286, 45, 237)(24, 216, 51, 243, 76, 268, 53, 245)(26, 218, 46, 238, 95, 287, 56, 248)(27, 219, 57, 249, 101, 293, 59, 251)(30, 222, 63, 255, 84, 276, 40, 232)(32, 224, 67, 259, 70, 262, 65, 257)(33, 225, 69, 261, 127, 319, 71, 263)(36, 228, 75, 267, 134, 326, 73, 265)(38, 230, 79, 271, 48, 240, 81, 273)(42, 234, 87, 279, 132, 324, 72, 264)(44, 236, 91, 283, 58, 250, 89, 281)(50, 242, 100, 292, 128, 320, 78, 270)(52, 244, 102, 294, 162, 354, 104, 296)(54, 246, 99, 291, 136, 328, 107, 299)(55, 247, 108, 300, 137, 329, 110, 302)(60, 252, 74, 266, 135, 327, 115, 307)(61, 253, 93, 285, 133, 325, 85, 277)(64, 256, 119, 311, 130, 322, 117, 309)(66, 258, 121, 313, 131, 323, 116, 308)(68, 260, 125, 317, 147, 339, 123, 315)(80, 272, 140, 332, 120, 312, 142, 334)(82, 274, 139, 331, 96, 288, 145, 337)(83, 275, 146, 338, 97, 289, 148, 340)(88, 280, 153, 345, 113, 305, 151, 343)(90, 282, 155, 347, 114, 306, 150, 342)(92, 284, 159, 351, 177, 369, 157, 349)(98, 290, 164, 356, 109, 301, 143, 335)(103, 295, 166, 358, 179, 371, 160, 352)(105, 297, 138, 330, 182, 374, 169, 361)(106, 298, 144, 336, 176, 368, 170, 362)(111, 303, 161, 353, 183, 375, 141, 333)(112, 304, 158, 350, 180, 372, 173, 365)(118, 310, 165, 357, 174, 366, 149, 341)(122, 314, 156, 348, 181, 373, 163, 355)(124, 316, 154, 346, 175, 367, 129, 321)(126, 318, 172, 364, 178, 370, 152, 344)(167, 359, 184, 376, 190, 382, 189, 381)(168, 360, 187, 379, 191, 383, 185, 377)(171, 363, 188, 380, 192, 384, 186, 378)(385, 577, 387, 579, 394, 586, 408, 600, 436, 628, 487, 679, 551, 743, 510, 702, 452, 644, 416, 608, 398, 590, 389, 581)(386, 578, 391, 583, 401, 593, 422, 614, 464, 656, 525, 717, 568, 760, 544, 736, 476, 668, 428, 620, 404, 596, 392, 584)(388, 580, 396, 588, 411, 603, 442, 634, 496, 688, 556, 748, 573, 765, 549, 741, 482, 674, 432, 624, 406, 598, 393, 585)(390, 582, 399, 591, 417, 609, 454, 646, 513, 705, 558, 750, 574, 766, 567, 759, 522, 714, 460, 652, 420, 612, 400, 592)(395, 587, 410, 602, 439, 631, 493, 685, 555, 747, 509, 701, 536, 728, 471, 663, 535, 727, 485, 677, 434, 626, 407, 599)(397, 589, 413, 605, 445, 637, 470, 662, 534, 726, 499, 691, 550, 742, 488, 680, 552, 744, 504, 696, 448, 640, 414, 606)(402, 594, 424, 616, 467, 659, 531, 723, 570, 762, 543, 735, 563, 755, 519, 711, 483, 675, 433, 625, 462, 654, 421, 613)(403, 595, 425, 617, 469, 661, 518, 710, 492, 684, 440, 632, 495, 687, 526, 718, 569, 761, 538, 730, 472, 664, 426, 618)(405, 597, 429, 621, 477, 669, 446, 638, 500, 692, 516, 708, 562, 754, 557, 749, 571, 763, 546, 738, 480, 672, 430, 622)(409, 601, 438, 630, 490, 682, 537, 729, 508, 700, 451, 643, 507, 699, 532, 724, 565, 757, 521, 713, 459, 651, 435, 627)(412, 604, 444, 636, 498, 690, 553, 745, 572, 764, 548, 740, 502, 694, 447, 639, 501, 693, 511, 703, 484, 676, 441, 633)(415, 607, 449, 641, 455, 647, 514, 706, 560, 752, 529, 721, 486, 678, 437, 629, 489, 681, 539, 731, 506, 698, 450, 642)(418, 610, 456, 648, 515, 707, 561, 753, 576, 768, 566, 758, 545, 737, 479, 671, 523, 715, 461, 653, 512, 704, 453, 645)(419, 611, 457, 649, 517, 709, 478, 670, 530, 722, 468, 660, 533, 725, 559, 751, 575, 767, 564, 756, 520, 712, 458, 650)(423, 615, 466, 658, 528, 720, 491, 683, 542, 734, 475, 667, 541, 733, 505, 697, 547, 739, 481, 673, 431, 623, 463, 655)(427, 619, 473, 665, 443, 635, 497, 689, 554, 746, 503, 695, 524, 716, 465, 657, 527, 719, 494, 686, 540, 732, 474, 666)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 442)(28, 444)(29, 445)(30, 397)(31, 449)(32, 398)(33, 454)(34, 456)(35, 457)(36, 400)(37, 402)(38, 464)(39, 466)(40, 467)(41, 469)(42, 403)(43, 473)(44, 404)(45, 477)(46, 405)(47, 463)(48, 406)(49, 462)(50, 407)(51, 409)(52, 487)(53, 489)(54, 490)(55, 493)(56, 495)(57, 412)(58, 496)(59, 497)(60, 498)(61, 470)(62, 500)(63, 501)(64, 414)(65, 455)(66, 415)(67, 507)(68, 416)(69, 418)(70, 513)(71, 514)(72, 515)(73, 517)(74, 419)(75, 435)(76, 420)(77, 512)(78, 421)(79, 423)(80, 525)(81, 527)(82, 528)(83, 531)(84, 533)(85, 518)(86, 534)(87, 535)(88, 426)(89, 443)(90, 427)(91, 541)(92, 428)(93, 446)(94, 530)(95, 523)(96, 430)(97, 431)(98, 432)(99, 433)(100, 441)(101, 434)(102, 437)(103, 551)(104, 552)(105, 539)(106, 537)(107, 542)(108, 440)(109, 555)(110, 540)(111, 526)(112, 556)(113, 554)(114, 553)(115, 550)(116, 516)(117, 511)(118, 447)(119, 524)(120, 448)(121, 547)(122, 450)(123, 532)(124, 451)(125, 536)(126, 452)(127, 484)(128, 453)(129, 558)(130, 560)(131, 561)(132, 562)(133, 478)(134, 492)(135, 483)(136, 458)(137, 459)(138, 460)(139, 461)(140, 465)(141, 568)(142, 569)(143, 494)(144, 491)(145, 486)(146, 468)(147, 570)(148, 565)(149, 559)(150, 499)(151, 485)(152, 471)(153, 508)(154, 472)(155, 506)(156, 474)(157, 505)(158, 475)(159, 563)(160, 476)(161, 479)(162, 480)(163, 481)(164, 502)(165, 482)(166, 488)(167, 510)(168, 504)(169, 572)(170, 503)(171, 509)(172, 573)(173, 571)(174, 574)(175, 575)(176, 529)(177, 576)(178, 557)(179, 519)(180, 520)(181, 521)(182, 545)(183, 522)(184, 544)(185, 538)(186, 543)(187, 546)(188, 548)(189, 549)(190, 567)(191, 564)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2228
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 8^48, 24^16 ]

E17.2228 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-1 * Y2 * Y3^2 * Y2)^2, Y3^-1 * Y2 * Y3^3 * Y2 * Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-1, Y3^6 * Y2 * Y3^-6 * Y2, (Y3^-1 * Y1^-1)^12 ]
Map:: polytopal
	R = (1, 193)(2, 194)(3, 195)(4, 196)(5, 197)(6, 198)(7, 199)(8, 200)(9, 201)(10, 202)(11, 203)(12, 204)(13, 205)(14, 206)(15, 207)(16, 208)(17, 209)(18, 210)(19, 211)(20, 212)(21, 213)(22, 214)(23, 215)(24, 216)(25, 217)(26, 218)(27, 219)(28, 220)(29, 221)(30, 222)(31, 223)(32, 224)(33, 225)(34, 226)(35, 227)(36, 228)(37, 229)(38, 230)(39, 231)(40, 232)(41, 233)(42, 234)(43, 235)(44, 236)(45, 237)(46, 238)(47, 239)(48, 240)(49, 241)(50, 242)(51, 243)(52, 244)(53, 245)(54, 246)(55, 247)(56, 248)(57, 249)(58, 250)(59, 251)(60, 252)(61, 253)(62, 254)(63, 255)(64, 256)(65, 257)(66, 258)(67, 259)(68, 260)(69, 261)(70, 262)(71, 263)(72, 264)(73, 265)(74, 266)(75, 267)(76, 268)(77, 269)(78, 270)(79, 271)(80, 272)(81, 273)(82, 274)(83, 275)(84, 276)(85, 277)(86, 278)(87, 279)(88, 280)(89, 281)(90, 282)(91, 283)(92, 284)(93, 285)(94, 286)(95, 287)(96, 288)(97, 289)(98, 290)(99, 291)(100, 292)(101, 293)(102, 294)(103, 295)(104, 296)(105, 297)(106, 298)(107, 299)(108, 300)(109, 301)(110, 302)(111, 303)(112, 304)(113, 305)(114, 306)(115, 307)(116, 308)(117, 309)(118, 310)(119, 311)(120, 312)(121, 313)(122, 314)(123, 315)(124, 316)(125, 317)(126, 318)(127, 319)(128, 320)(129, 321)(130, 322)(131, 323)(132, 324)(133, 325)(134, 326)(135, 327)(136, 328)(137, 329)(138, 330)(139, 331)(140, 332)(141, 333)(142, 334)(143, 335)(144, 336)(145, 337)(146, 338)(147, 339)(148, 340)(149, 341)(150, 342)(151, 343)(152, 344)(153, 345)(154, 346)(155, 347)(156, 348)(157, 349)(158, 350)(159, 351)(160, 352)(161, 353)(162, 354)(163, 355)(164, 356)(165, 357)(166, 358)(167, 359)(168, 360)(169, 361)(170, 362)(171, 363)(172, 364)(173, 365)(174, 366)(175, 367)(176, 368)(177, 369)(178, 370)(179, 371)(180, 372)(181, 373)(182, 374)(183, 375)(184, 376)(185, 377)(186, 378)(187, 379)(188, 380)(189, 381)(190, 382)(191, 383)(192, 384)(385, 577, 386, 578)(387, 579, 391, 583)(388, 580, 393, 585)(389, 581, 395, 587)(390, 582, 397, 589)(392, 584, 401, 593)(394, 586, 405, 597)(396, 588, 409, 601)(398, 590, 413, 605)(399, 591, 412, 604)(400, 592, 416, 608)(402, 594, 420, 612)(403, 595, 422, 614)(404, 596, 407, 599)(406, 598, 427, 619)(408, 600, 430, 622)(410, 602, 434, 626)(411, 603, 436, 628)(414, 606, 441, 633)(415, 607, 443, 635)(417, 609, 433, 625)(418, 610, 446, 638)(419, 611, 431, 623)(421, 613, 452, 644)(423, 615, 439, 631)(424, 616, 456, 648)(425, 617, 437, 629)(426, 618, 454, 646)(428, 620, 462, 654)(429, 621, 464, 656)(432, 624, 467, 659)(435, 627, 473, 665)(438, 630, 477, 669)(440, 632, 475, 667)(442, 634, 483, 675)(444, 636, 481, 673)(445, 637, 488, 680)(447, 639, 471, 663)(448, 640, 491, 683)(449, 641, 486, 678)(450, 642, 468, 660)(451, 643, 478, 670)(453, 645, 498, 690)(455, 647, 482, 674)(457, 649, 472, 664)(458, 650, 502, 694)(459, 651, 506, 698)(460, 652, 465, 657)(461, 653, 476, 668)(463, 655, 512, 704)(466, 658, 516, 708)(469, 661, 519, 711)(470, 662, 514, 706)(474, 666, 526, 718)(479, 671, 530, 722)(480, 672, 534, 726)(484, 676, 540, 732)(485, 677, 531, 723)(487, 679, 539, 731)(489, 681, 517, 709)(490, 682, 544, 736)(492, 684, 522, 714)(493, 685, 536, 728)(494, 686, 520, 712)(495, 687, 533, 725)(496, 688, 532, 724)(497, 689, 543, 735)(499, 691, 527, 719)(500, 692, 528, 720)(501, 693, 541, 733)(503, 695, 513, 705)(504, 696, 524, 716)(505, 697, 523, 715)(507, 699, 537, 729)(508, 700, 521, 713)(509, 701, 535, 727)(510, 702, 552, 744)(511, 703, 515, 707)(518, 710, 556, 748)(525, 717, 555, 747)(529, 721, 553, 745)(538, 730, 564, 756)(542, 734, 566, 758)(545, 737, 563, 755)(546, 738, 568, 760)(547, 739, 560, 752)(548, 740, 559, 751)(549, 741, 565, 757)(550, 742, 567, 759)(551, 743, 557, 749)(554, 746, 570, 762)(558, 750, 572, 764)(561, 753, 569, 761)(562, 754, 571, 763)(573, 765, 576, 768)(574, 766, 575, 767)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 396)(6, 386)(7, 399)(8, 402)(9, 403)(10, 388)(11, 407)(12, 410)(13, 411)(14, 390)(15, 415)(16, 391)(17, 418)(18, 421)(19, 423)(20, 393)(21, 425)(22, 394)(23, 429)(24, 395)(25, 432)(26, 435)(27, 437)(28, 397)(29, 439)(30, 398)(31, 444)(32, 445)(33, 400)(34, 448)(35, 401)(36, 450)(37, 453)(38, 454)(39, 455)(40, 404)(41, 458)(42, 405)(43, 460)(44, 406)(45, 465)(46, 466)(47, 408)(48, 469)(49, 409)(50, 471)(51, 474)(52, 475)(53, 476)(54, 412)(55, 479)(56, 413)(57, 481)(58, 414)(59, 485)(60, 487)(61, 422)(62, 416)(63, 417)(64, 492)(65, 419)(66, 494)(67, 420)(68, 496)(69, 499)(70, 500)(71, 501)(72, 502)(73, 424)(74, 505)(75, 426)(76, 508)(77, 427)(78, 510)(79, 428)(80, 513)(81, 515)(82, 436)(83, 430)(84, 431)(85, 520)(86, 433)(87, 522)(88, 434)(89, 524)(90, 527)(91, 528)(92, 529)(93, 530)(94, 438)(95, 533)(96, 440)(97, 536)(98, 441)(99, 538)(100, 442)(101, 541)(102, 443)(103, 542)(104, 514)(105, 446)(106, 447)(107, 525)(108, 546)(109, 449)(110, 547)(111, 451)(112, 549)(113, 452)(114, 550)(115, 463)(116, 552)(117, 551)(118, 516)(119, 456)(120, 457)(121, 519)(122, 521)(123, 459)(124, 548)(125, 461)(126, 534)(127, 462)(128, 545)(129, 553)(130, 464)(131, 554)(132, 486)(133, 467)(134, 468)(135, 497)(136, 558)(137, 470)(138, 559)(139, 472)(140, 561)(141, 473)(142, 562)(143, 484)(144, 564)(145, 563)(146, 488)(147, 477)(148, 478)(149, 491)(150, 493)(151, 480)(152, 560)(153, 482)(154, 506)(155, 483)(156, 557)(157, 565)(158, 512)(159, 489)(160, 503)(161, 490)(162, 511)(163, 509)(164, 495)(165, 507)(166, 504)(167, 498)(168, 566)(169, 569)(170, 540)(171, 517)(172, 531)(173, 518)(174, 539)(175, 537)(176, 523)(177, 535)(178, 532)(179, 526)(180, 570)(181, 573)(182, 574)(183, 543)(184, 544)(185, 575)(186, 576)(187, 555)(188, 556)(189, 568)(190, 567)(191, 572)(192, 571)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 24 ), ( 8, 24, 8, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2227
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2229 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|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)^4, (Y3 * Y1 * Y3 * Y1^-2)^2, Y1^12, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-4, (Y3 * Y1^-6)^2 ]
Map:: polytopal
	R = (1, 193, 2, 194, 5, 197, 11, 203, 23, 215, 45, 237, 80, 272, 79, 271, 44, 236, 22, 214, 10, 202, 4, 196)(3, 195, 7, 199, 15, 207, 31, 223, 59, 251, 101, 293, 129, 321, 115, 307, 69, 261, 37, 229, 18, 210, 8, 200)(6, 198, 13, 205, 27, 219, 53, 245, 93, 285, 148, 340, 128, 320, 156, 348, 100, 292, 58, 250, 30, 222, 14, 206)(9, 201, 19, 211, 38, 230, 70, 262, 116, 308, 131, 323, 81, 273, 130, 322, 120, 312, 73, 265, 40, 232, 20, 212)(12, 204, 25, 217, 49, 241, 88, 280, 141, 333, 127, 319, 78, 270, 126, 318, 147, 339, 92, 284, 52, 244, 26, 218)(16, 208, 33, 225, 62, 254, 106, 298, 160, 352, 182, 374, 167, 359, 170, 362, 138, 330, 85, 277, 51, 243, 34, 226)(17, 209, 35, 227, 64, 256, 109, 301, 162, 354, 180, 372, 157, 349, 172, 364, 133, 325, 86, 278, 55, 247, 28, 220)(21, 213, 41, 233, 74, 266, 121, 313, 135, 327, 83, 275, 46, 238, 82, 274, 132, 324, 123, 315, 75, 267, 42, 234)(24, 216, 47, 239, 84, 276, 136, 328, 125, 317, 77, 269, 43, 235, 76, 268, 124, 316, 140, 332, 87, 279, 48, 240)(29, 221, 56, 248, 39, 231, 71, 263, 117, 309, 168, 360, 179, 371, 185, 377, 169, 361, 134, 326, 90, 282, 50, 242)(32, 224, 61, 253, 104, 296, 137, 329, 174, 366, 149, 341, 114, 306, 166, 358, 122, 314, 154, 346, 98, 290, 57, 249)(36, 228, 66, 258, 111, 303, 139, 331, 89, 281, 143, 335, 102, 294, 158, 350, 181, 373, 164, 356, 112, 304, 67, 259)(54, 246, 95, 287, 150, 342, 171, 363, 186, 378, 177, 369, 155, 347, 119, 311, 72, 264, 118, 310, 145, 337, 91, 283)(60, 252, 99, 291, 142, 334, 176, 368, 165, 357, 113, 305, 68, 260, 94, 286, 146, 338, 173, 365, 159, 351, 103, 295)(63, 255, 108, 300, 65, 257, 110, 302, 163, 355, 184, 376, 190, 382, 192, 384, 187, 379, 178, 370, 144, 336, 105, 297)(96, 288, 152, 344, 97, 289, 153, 345, 107, 299, 161, 353, 183, 375, 189, 381, 191, 383, 188, 380, 175, 367, 151, 343)(385, 577)(386, 578)(387, 579)(388, 580)(389, 581)(390, 582)(391, 583)(392, 584)(393, 585)(394, 586)(395, 587)(396, 588)(397, 589)(398, 590)(399, 591)(400, 592)(401, 593)(402, 594)(403, 595)(404, 596)(405, 597)(406, 598)(407, 599)(408, 600)(409, 601)(410, 602)(411, 603)(412, 604)(413, 605)(414, 606)(415, 607)(416, 608)(417, 609)(418, 610)(419, 611)(420, 612)(421, 613)(422, 614)(423, 615)(424, 616)(425, 617)(426, 618)(427, 619)(428, 620)(429, 621)(430, 622)(431, 623)(432, 624)(433, 625)(434, 626)(435, 627)(436, 628)(437, 629)(438, 630)(439, 631)(440, 632)(441, 633)(442, 634)(443, 635)(444, 636)(445, 637)(446, 638)(447, 639)(448, 640)(449, 641)(450, 642)(451, 643)(452, 644)(453, 645)(454, 646)(455, 647)(456, 648)(457, 649)(458, 650)(459, 651)(460, 652)(461, 653)(462, 654)(463, 655)(464, 656)(465, 657)(466, 658)(467, 659)(468, 660)(469, 661)(470, 662)(471, 663)(472, 664)(473, 665)(474, 666)(475, 667)(476, 668)(477, 669)(478, 670)(479, 671)(480, 672)(481, 673)(482, 674)(483, 675)(484, 676)(485, 677)(486, 678)(487, 679)(488, 680)(489, 681)(490, 682)(491, 683)(492, 684)(493, 685)(494, 686)(495, 687)(496, 688)(497, 689)(498, 690)(499, 691)(500, 692)(501, 693)(502, 694)(503, 695)(504, 696)(505, 697)(506, 698)(507, 699)(508, 700)(509, 701)(510, 702)(511, 703)(512, 704)(513, 705)(514, 706)(515, 707)(516, 708)(517, 709)(518, 710)(519, 711)(520, 712)(521, 713)(522, 714)(523, 715)(524, 716)(525, 717)(526, 718)(527, 719)(528, 720)(529, 721)(530, 722)(531, 723)(532, 724)(533, 725)(534, 726)(535, 727)(536, 728)(537, 729)(538, 730)(539, 731)(540, 732)(541, 733)(542, 734)(543, 735)(544, 736)(545, 737)(546, 738)(547, 739)(548, 740)(549, 741)(550, 742)(551, 743)(552, 744)(553, 745)(554, 746)(555, 747)(556, 748)(557, 749)(558, 750)(559, 751)(560, 752)(561, 753)(562, 754)(563, 755)(564, 756)(565, 757)(566, 758)(567, 759)(568, 760)(569, 761)(570, 762)(571, 763)(572, 764)(573, 765)(574, 766)(575, 767)(576, 768)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 408)(12, 389)(13, 412)(14, 413)(15, 416)(16, 391)(17, 392)(18, 420)(19, 423)(20, 417)(21, 394)(22, 427)(23, 430)(24, 395)(25, 434)(26, 435)(27, 438)(28, 397)(29, 398)(30, 441)(31, 444)(32, 399)(33, 404)(34, 447)(35, 449)(36, 402)(37, 452)(38, 450)(39, 403)(40, 456)(41, 448)(42, 455)(43, 406)(44, 462)(45, 465)(46, 407)(47, 469)(48, 470)(49, 473)(50, 409)(51, 410)(52, 475)(53, 478)(54, 411)(55, 480)(56, 481)(57, 414)(58, 483)(59, 486)(60, 415)(61, 489)(62, 491)(63, 418)(64, 425)(65, 419)(66, 422)(67, 494)(68, 421)(69, 498)(70, 497)(71, 426)(72, 424)(73, 487)(74, 502)(75, 506)(76, 490)(77, 493)(78, 428)(79, 512)(80, 513)(81, 429)(82, 517)(83, 518)(84, 521)(85, 431)(86, 432)(87, 523)(88, 526)(89, 433)(90, 528)(91, 436)(92, 530)(93, 533)(94, 437)(95, 535)(96, 439)(97, 440)(98, 537)(99, 442)(100, 539)(101, 541)(102, 443)(103, 457)(104, 519)(105, 445)(106, 460)(107, 446)(108, 529)(109, 461)(110, 451)(111, 536)(112, 531)(113, 454)(114, 453)(115, 551)(116, 534)(117, 547)(118, 458)(119, 545)(120, 542)(121, 543)(122, 459)(123, 549)(124, 538)(125, 548)(126, 552)(127, 544)(128, 463)(129, 464)(130, 553)(131, 554)(132, 555)(133, 466)(134, 467)(135, 488)(136, 557)(137, 468)(138, 559)(139, 471)(140, 560)(141, 561)(142, 472)(143, 562)(144, 474)(145, 492)(146, 476)(147, 496)(148, 563)(149, 477)(150, 500)(151, 479)(152, 495)(153, 482)(154, 508)(155, 484)(156, 564)(157, 485)(158, 504)(159, 505)(160, 511)(161, 503)(162, 567)(163, 501)(164, 509)(165, 507)(166, 568)(167, 499)(168, 510)(169, 514)(170, 515)(171, 516)(172, 571)(173, 520)(174, 572)(175, 522)(176, 524)(177, 525)(178, 527)(179, 532)(180, 540)(181, 573)(182, 574)(183, 546)(184, 550)(185, 575)(186, 576)(187, 556)(188, 558)(189, 565)(190, 566)(191, 569)(192, 570)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2226
Graph:: simple bipartite
	v = 208 e = 384 f = 144
	degree seq :: [ 2^192, 24^16 ]

E17.2230 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^2 * Y1)^2, Y2^12, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1 * Y2^-1, (Y2^-6 * Y1)^2 ]
Map::
	R = (1, 193, 2, 194)(3, 195, 7, 199)(4, 196, 9, 201)(5, 197, 11, 203)(6, 198, 13, 205)(8, 200, 17, 209)(10, 202, 21, 213)(12, 204, 25, 217)(14, 206, 29, 221)(15, 207, 28, 220)(16, 208, 32, 224)(18, 210, 36, 228)(19, 211, 38, 230)(20, 212, 23, 215)(22, 214, 43, 235)(24, 216, 46, 238)(26, 218, 50, 242)(27, 219, 52, 244)(30, 222, 57, 249)(31, 223, 59, 251)(33, 225, 49, 241)(34, 226, 62, 254)(35, 227, 47, 239)(37, 229, 68, 260)(39, 231, 55, 247)(40, 232, 72, 264)(41, 233, 53, 245)(42, 234, 70, 262)(44, 236, 78, 270)(45, 237, 80, 272)(48, 240, 83, 275)(51, 243, 89, 281)(54, 246, 93, 285)(56, 248, 91, 283)(58, 250, 99, 291)(60, 252, 97, 289)(61, 253, 104, 296)(63, 255, 87, 279)(64, 256, 107, 299)(65, 257, 102, 294)(66, 258, 84, 276)(67, 259, 94, 286)(69, 261, 114, 306)(71, 263, 98, 290)(73, 265, 88, 280)(74, 266, 118, 310)(75, 267, 122, 314)(76, 268, 81, 273)(77, 269, 92, 284)(79, 271, 128, 320)(82, 274, 132, 324)(85, 277, 135, 327)(86, 278, 130, 322)(90, 282, 142, 334)(95, 287, 146, 338)(96, 288, 150, 342)(100, 292, 156, 348)(101, 293, 147, 339)(103, 295, 155, 347)(105, 297, 133, 325)(106, 298, 160, 352)(108, 300, 138, 330)(109, 301, 152, 344)(110, 302, 136, 328)(111, 303, 149, 341)(112, 304, 148, 340)(113, 305, 159, 351)(115, 307, 143, 335)(116, 308, 144, 336)(117, 309, 157, 349)(119, 311, 129, 321)(120, 312, 140, 332)(121, 313, 139, 331)(123, 315, 153, 345)(124, 316, 137, 329)(125, 317, 151, 343)(126, 318, 168, 360)(127, 319, 131, 323)(134, 326, 172, 364)(141, 333, 171, 363)(145, 337, 169, 361)(154, 346, 180, 372)(158, 350, 182, 374)(161, 353, 179, 371)(162, 354, 184, 376)(163, 355, 176, 368)(164, 356, 175, 367)(165, 357, 181, 373)(166, 358, 183, 375)(167, 359, 173, 365)(170, 362, 186, 378)(174, 366, 188, 380)(177, 369, 185, 377)(178, 370, 187, 379)(189, 381, 192, 384)(190, 382, 191, 383)(385, 577, 387, 579, 392, 584, 402, 594, 421, 613, 453, 645, 499, 691, 463, 655, 428, 620, 406, 598, 394, 586, 388, 580)(386, 578, 389, 581, 396, 588, 410, 602, 435, 627, 474, 666, 527, 719, 484, 676, 442, 634, 414, 606, 398, 590, 390, 582)(391, 583, 399, 591, 415, 607, 444, 636, 487, 679, 542, 734, 512, 704, 545, 737, 490, 682, 447, 639, 417, 609, 400, 592)(393, 585, 403, 595, 423, 615, 455, 647, 501, 693, 551, 743, 498, 690, 550, 742, 504, 696, 457, 649, 424, 616, 404, 596)(395, 587, 407, 599, 429, 621, 465, 657, 515, 707, 554, 746, 540, 732, 557, 749, 518, 710, 468, 660, 431, 623, 408, 600)(397, 589, 411, 603, 437, 629, 476, 668, 529, 721, 563, 755, 526, 718, 562, 754, 532, 724, 478, 670, 438, 630, 412, 604)(401, 593, 418, 610, 448, 640, 492, 684, 546, 738, 511, 703, 462, 654, 510, 702, 534, 726, 493, 685, 449, 641, 419, 611)(405, 597, 425, 617, 458, 650, 505, 697, 519, 711, 497, 689, 452, 644, 496, 688, 549, 741, 507, 699, 459, 651, 426, 618)(409, 601, 432, 624, 469, 661, 520, 712, 558, 750, 539, 731, 483, 675, 538, 730, 506, 698, 521, 713, 470, 662, 433, 625)(413, 605, 439, 631, 479, 671, 533, 725, 491, 683, 525, 717, 473, 665, 524, 716, 561, 753, 535, 727, 480, 672, 440, 632)(416, 608, 445, 637, 422, 614, 454, 646, 500, 692, 552, 744, 566, 758, 574, 766, 567, 759, 543, 735, 489, 681, 446, 638)(420, 612, 450, 642, 494, 686, 547, 739, 509, 701, 461, 653, 427, 619, 460, 652, 508, 700, 548, 740, 495, 687, 451, 643)(430, 622, 466, 658, 436, 628, 475, 667, 528, 720, 564, 756, 570, 762, 576, 768, 571, 763, 555, 747, 517, 709, 467, 659)(434, 626, 471, 663, 522, 714, 559, 751, 537, 729, 482, 674, 441, 633, 481, 673, 536, 728, 560, 752, 523, 715, 472, 664)(443, 635, 485, 677, 541, 733, 565, 757, 573, 765, 568, 760, 544, 736, 503, 695, 456, 648, 502, 694, 516, 708, 486, 678)(464, 656, 513, 705, 553, 745, 569, 761, 575, 767, 572, 764, 556, 748, 531, 723, 477, 669, 530, 722, 488, 680, 514, 706)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 395)(6, 397)(7, 387)(8, 401)(9, 388)(10, 405)(11, 389)(12, 409)(13, 390)(14, 413)(15, 412)(16, 416)(17, 392)(18, 420)(19, 422)(20, 407)(21, 394)(22, 427)(23, 404)(24, 430)(25, 396)(26, 434)(27, 436)(28, 399)(29, 398)(30, 441)(31, 443)(32, 400)(33, 433)(34, 446)(35, 431)(36, 402)(37, 452)(38, 403)(39, 439)(40, 456)(41, 437)(42, 454)(43, 406)(44, 462)(45, 464)(46, 408)(47, 419)(48, 467)(49, 417)(50, 410)(51, 473)(52, 411)(53, 425)(54, 477)(55, 423)(56, 475)(57, 414)(58, 483)(59, 415)(60, 481)(61, 488)(62, 418)(63, 471)(64, 491)(65, 486)(66, 468)(67, 478)(68, 421)(69, 498)(70, 426)(71, 482)(72, 424)(73, 472)(74, 502)(75, 506)(76, 465)(77, 476)(78, 428)(79, 512)(80, 429)(81, 460)(82, 516)(83, 432)(84, 450)(85, 519)(86, 514)(87, 447)(88, 457)(89, 435)(90, 526)(91, 440)(92, 461)(93, 438)(94, 451)(95, 530)(96, 534)(97, 444)(98, 455)(99, 442)(100, 540)(101, 531)(102, 449)(103, 539)(104, 445)(105, 517)(106, 544)(107, 448)(108, 522)(109, 536)(110, 520)(111, 533)(112, 532)(113, 543)(114, 453)(115, 527)(116, 528)(117, 541)(118, 458)(119, 513)(120, 524)(121, 523)(122, 459)(123, 537)(124, 521)(125, 535)(126, 552)(127, 515)(128, 463)(129, 503)(130, 470)(131, 511)(132, 466)(133, 489)(134, 556)(135, 469)(136, 494)(137, 508)(138, 492)(139, 505)(140, 504)(141, 555)(142, 474)(143, 499)(144, 500)(145, 553)(146, 479)(147, 485)(148, 496)(149, 495)(150, 480)(151, 509)(152, 493)(153, 507)(154, 564)(155, 487)(156, 484)(157, 501)(158, 566)(159, 497)(160, 490)(161, 563)(162, 568)(163, 560)(164, 559)(165, 565)(166, 567)(167, 557)(168, 510)(169, 529)(170, 570)(171, 525)(172, 518)(173, 551)(174, 572)(175, 548)(176, 547)(177, 569)(178, 571)(179, 545)(180, 538)(181, 549)(182, 542)(183, 550)(184, 546)(185, 561)(186, 554)(187, 562)(188, 558)(189, 576)(190, 575)(191, 574)(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) :: { ( 2, 8, 2, 8 ), ( 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 E17.2231
Graph:: bipartite
	v = 112 e = 384 f = 240
	degree seq :: [ 4^96, 24^16 ]

E17.2231 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 12})
Quotient :: dipole
Aut^+ = (SL(2,3) : C4) : C2 (small group id <192, 988>)
Aut   = $<384, 18044>$ (small group id <384, 18044>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y1^-1 * Y3^-1 * Y1 * Y3^3 * Y1^-2 * Y3^2, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, (Y3^5 * Y1^-1)^2, Y1^2 * Y3 * Y1^-1 * Y3^-3 * Y1^-1 * Y3 * Y1^-2 * Y3, (Y3 * Y2^-1)^12 ]
Map:: polytopal
	R = (1, 193, 2, 194, 6, 198, 4, 196)(3, 195, 9, 201, 21, 213, 11, 203)(5, 197, 13, 205, 18, 210, 7, 199)(8, 200, 19, 211, 34, 226, 15, 207)(10, 202, 23, 215, 49, 241, 25, 217)(12, 204, 16, 208, 35, 227, 28, 220)(14, 206, 31, 223, 62, 254, 29, 221)(17, 209, 37, 229, 77, 269, 39, 231)(20, 212, 43, 235, 86, 278, 41, 233)(22, 214, 47, 239, 94, 286, 45, 237)(24, 216, 51, 243, 76, 268, 53, 245)(26, 218, 46, 238, 95, 287, 56, 248)(27, 219, 57, 249, 101, 293, 59, 251)(30, 222, 63, 255, 84, 276, 40, 232)(32, 224, 67, 259, 70, 262, 65, 257)(33, 225, 69, 261, 127, 319, 71, 263)(36, 228, 75, 267, 134, 326, 73, 265)(38, 230, 79, 271, 48, 240, 81, 273)(42, 234, 87, 279, 132, 324, 72, 264)(44, 236, 91, 283, 58, 250, 89, 281)(50, 242, 100, 292, 128, 320, 78, 270)(52, 244, 102, 294, 162, 354, 104, 296)(54, 246, 99, 291, 136, 328, 107, 299)(55, 247, 108, 300, 137, 329, 110, 302)(60, 252, 74, 266, 135, 327, 115, 307)(61, 253, 93, 285, 133, 325, 85, 277)(64, 256, 119, 311, 130, 322, 117, 309)(66, 258, 121, 313, 131, 323, 116, 308)(68, 260, 125, 317, 147, 339, 123, 315)(80, 272, 140, 332, 120, 312, 142, 334)(82, 274, 139, 331, 96, 288, 145, 337)(83, 275, 146, 338, 97, 289, 148, 340)(88, 280, 153, 345, 113, 305, 151, 343)(90, 282, 155, 347, 114, 306, 150, 342)(92, 284, 159, 351, 177, 369, 157, 349)(98, 290, 164, 356, 109, 301, 143, 335)(103, 295, 166, 358, 179, 371, 160, 352)(105, 297, 138, 330, 182, 374, 169, 361)(106, 298, 144, 336, 176, 368, 170, 362)(111, 303, 161, 353, 183, 375, 141, 333)(112, 304, 158, 350, 180, 372, 173, 365)(118, 310, 165, 357, 174, 366, 149, 341)(122, 314, 156, 348, 181, 373, 163, 355)(124, 316, 154, 346, 175, 367, 129, 321)(126, 318, 172, 364, 178, 370, 152, 344)(167, 359, 184, 376, 190, 382, 189, 381)(168, 360, 187, 379, 191, 383, 185, 377)(171, 363, 188, 380, 192, 384, 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, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 417)(16, 390)(17, 422)(18, 424)(19, 425)(20, 392)(21, 429)(22, 393)(23, 395)(24, 436)(25, 438)(26, 439)(27, 442)(28, 444)(29, 445)(30, 397)(31, 449)(32, 398)(33, 454)(34, 456)(35, 457)(36, 400)(37, 402)(38, 464)(39, 466)(40, 467)(41, 469)(42, 403)(43, 473)(44, 404)(45, 477)(46, 405)(47, 463)(48, 406)(49, 462)(50, 407)(51, 409)(52, 487)(53, 489)(54, 490)(55, 493)(56, 495)(57, 412)(58, 496)(59, 497)(60, 498)(61, 470)(62, 500)(63, 501)(64, 414)(65, 455)(66, 415)(67, 507)(68, 416)(69, 418)(70, 513)(71, 514)(72, 515)(73, 517)(74, 419)(75, 435)(76, 420)(77, 512)(78, 421)(79, 423)(80, 525)(81, 527)(82, 528)(83, 531)(84, 533)(85, 518)(86, 534)(87, 535)(88, 426)(89, 443)(90, 427)(91, 541)(92, 428)(93, 446)(94, 530)(95, 523)(96, 430)(97, 431)(98, 432)(99, 433)(100, 441)(101, 434)(102, 437)(103, 551)(104, 552)(105, 539)(106, 537)(107, 542)(108, 440)(109, 555)(110, 540)(111, 526)(112, 556)(113, 554)(114, 553)(115, 550)(116, 516)(117, 511)(118, 447)(119, 524)(120, 448)(121, 547)(122, 450)(123, 532)(124, 451)(125, 536)(126, 452)(127, 484)(128, 453)(129, 558)(130, 560)(131, 561)(132, 562)(133, 478)(134, 492)(135, 483)(136, 458)(137, 459)(138, 460)(139, 461)(140, 465)(141, 568)(142, 569)(143, 494)(144, 491)(145, 486)(146, 468)(147, 570)(148, 565)(149, 559)(150, 499)(151, 485)(152, 471)(153, 508)(154, 472)(155, 506)(156, 474)(157, 505)(158, 475)(159, 563)(160, 476)(161, 479)(162, 480)(163, 481)(164, 502)(165, 482)(166, 488)(167, 510)(168, 504)(169, 572)(170, 503)(171, 509)(172, 573)(173, 571)(174, 574)(175, 575)(176, 529)(177, 576)(178, 557)(179, 519)(180, 520)(181, 521)(182, 545)(183, 522)(184, 544)(185, 538)(186, 543)(187, 546)(188, 548)(189, 549)(190, 567)(191, 564)(192, 566)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 4, 24 ), ( 4, 24, 4, 24, 4, 24, 4, 24 ) }
Outer automorphisms :: reflexible
Dual of E17.2230
Graph:: simple bipartite
	v = 240 e = 384 f = 112
	degree seq :: [ 2^192, 8^48 ]

E17.2232 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 6})
Quotient :: regular
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, (T1^-1 * T2)^5, T2 * T1 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 48, 28, 14)(9, 19, 36, 67, 39, 20)(12, 23, 44, 81, 47, 24)(16, 31, 58, 105, 61, 32)(17, 33, 62, 111, 64, 34)(21, 40, 73, 131, 76, 41)(22, 42, 77, 137, 80, 43)(26, 50, 91, 161, 93, 51)(27, 52, 94, 166, 96, 53)(30, 56, 101, 177, 104, 57)(35, 65, 116, 170, 119, 66)(37, 69, 123, 159, 126, 70)(38, 71, 127, 182, 107, 59)(45, 83, 147, 209, 149, 84)(46, 85, 150, 117, 152, 86)(49, 89, 157, 106, 160, 90)(54, 97, 171, 213, 174, 98)(55, 99, 148, 211, 176, 100)(60, 108, 151, 212, 184, 109)(63, 113, 144, 206, 189, 114)(68, 121, 175, 223, 194, 122)(72, 129, 191, 115, 190, 130)(74, 133, 179, 103, 167, 134)(75, 135, 165, 215, 195, 124)(78, 139, 201, 186, 112, 140)(79, 141, 110, 172, 204, 142)(82, 145, 207, 162, 208, 146)(87, 153, 214, 234, 216, 154)(88, 155, 202, 197, 128, 156)(92, 163, 203, 193, 120, 164)(95, 168, 199, 196, 125, 169)(102, 178, 210, 232, 200, 138)(118, 143, 205, 235, 227, 187)(132, 158, 217, 233, 231, 198)(136, 185, 226, 181, 220, 173)(180, 224, 240, 222, 236, 225)(183, 219, 237, 228, 188, 221)(192, 218, 239, 230, 238, 229)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 50)(36, 68)(39, 72)(40, 74)(41, 75)(42, 78)(43, 79)(44, 82)(47, 87)(48, 88)(51, 92)(52, 95)(53, 83)(56, 102)(57, 103)(58, 106)(61, 110)(62, 112)(64, 115)(65, 117)(66, 118)(67, 120)(69, 124)(70, 125)(71, 128)(73, 132)(76, 136)(77, 138)(80, 143)(81, 144)(84, 148)(85, 151)(86, 139)(89, 158)(90, 159)(91, 162)(93, 165)(94, 167)(96, 170)(97, 172)(98, 173)(99, 175)(100, 174)(101, 155)(104, 180)(105, 146)(107, 181)(108, 183)(109, 178)(111, 185)(113, 187)(114, 188)(116, 192)(119, 193)(121, 145)(122, 186)(123, 177)(126, 150)(127, 149)(129, 166)(130, 154)(131, 184)(133, 142)(134, 189)(135, 176)(137, 199)(140, 202)(141, 203)(147, 210)(152, 213)(153, 215)(156, 216)(157, 206)(160, 218)(161, 200)(163, 219)(164, 217)(168, 220)(169, 221)(171, 222)(179, 223)(182, 205)(190, 212)(191, 225)(194, 230)(195, 227)(196, 207)(197, 228)(198, 209)(201, 233)(204, 234)(208, 236)(211, 237)(214, 238)(224, 235)(226, 239)(229, 232)(231, 240)
	local type(s) :: { ( 5^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2233
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 40 e = 120 f = 48
	degree seq :: [ 6^40 ]

E17.2233 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 5, 6})
Quotient :: regular
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^5, (T1^-1 * T2)^6, T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2, T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-2 * T2, T2 * T1 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1, T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2, T1^2 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2, (T2 * T1^-1 * T2 * T1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 10, 4)(3, 7, 14, 17, 8)(6, 12, 23, 26, 13)(9, 18, 33, 36, 19)(11, 21, 39, 42, 22)(15, 28, 51, 54, 29)(16, 30, 55, 58, 31)(20, 37, 67, 70, 38)(24, 44, 79, 82, 45)(25, 46, 83, 86, 47)(27, 49, 89, 92, 50)(32, 59, 104, 107, 60)(34, 62, 110, 113, 63)(35, 64, 114, 116, 65)(40, 72, 127, 130, 73)(41, 74, 131, 134, 75)(43, 77, 137, 140, 78)(48, 87, 151, 154, 88)(52, 94, 162, 164, 95)(53, 96, 132, 167, 97)(56, 100, 171, 174, 101)(57, 102, 175, 142, 80)(61, 108, 185, 187, 109)(66, 117, 196, 199, 118)(68, 120, 202, 204, 121)(69, 122, 205, 207, 123)(71, 125, 210, 176, 126)(76, 135, 214, 172, 136)(81, 143, 206, 184, 144)(84, 147, 191, 112, 148)(85, 149, 220, 179, 128)(90, 156, 138, 186, 157)(91, 146, 217, 197, 158)(93, 160, 188, 141, 161)(98, 152, 223, 211, 168)(99, 169, 227, 228, 170)(103, 177, 195, 150, 178)(105, 180, 139, 212, 181)(106, 182, 153, 198, 183)(111, 189, 159, 225, 190)(115, 193, 155, 129, 194)(119, 200, 166, 221, 201)(124, 208, 163, 218, 209)(133, 213, 233, 222, 203)(145, 215, 234, 232, 192)(165, 216, 229, 173, 219)(224, 237, 240, 236, 231)(226, 238, 239, 235, 230)
	L = (1, 3)(2, 6)(4, 9)(5, 11)(7, 15)(8, 16)(10, 20)(12, 24)(13, 25)(14, 27)(17, 32)(18, 34)(19, 35)(21, 40)(22, 41)(23, 43)(26, 48)(28, 52)(29, 53)(30, 56)(31, 57)(33, 61)(36, 66)(37, 68)(38, 69)(39, 71)(42, 76)(44, 80)(45, 81)(46, 84)(47, 85)(49, 90)(50, 91)(51, 93)(54, 98)(55, 99)(58, 103)(59, 105)(60, 106)(62, 111)(63, 112)(64, 115)(65, 94)(67, 119)(70, 124)(72, 128)(73, 129)(74, 132)(75, 133)(77, 138)(78, 139)(79, 141)(82, 145)(83, 146)(86, 150)(87, 152)(88, 153)(89, 155)(92, 159)(95, 163)(96, 165)(97, 166)(100, 172)(101, 173)(102, 176)(104, 179)(107, 184)(108, 186)(109, 170)(110, 188)(113, 181)(114, 192)(116, 195)(117, 197)(118, 198)(120, 203)(121, 174)(122, 206)(123, 189)(125, 157)(126, 211)(127, 160)(130, 169)(131, 212)(134, 177)(135, 215)(136, 183)(137, 171)(140, 162)(142, 196)(143, 216)(144, 185)(147, 218)(148, 219)(149, 221)(151, 222)(154, 193)(156, 200)(158, 224)(161, 202)(164, 226)(167, 199)(168, 205)(175, 230)(178, 207)(180, 231)(182, 209)(187, 213)(190, 214)(191, 210)(194, 229)(201, 232)(204, 217)(208, 227)(220, 235)(223, 236)(225, 238)(228, 237)(233, 239)(234, 240)
	local type(s) :: { ( 6^5 ) }
Outer automorphisms :: reflexible
Dual of E17.2232
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 48 e = 120 f = 40
	degree seq :: [ 5^48 ]

E17.2234 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1)^6, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1, T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2, T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 10, 4)(2, 5, 12, 14, 6)(7, 15, 28, 30, 16)(9, 18, 34, 36, 19)(11, 21, 40, 42, 22)(13, 24, 46, 48, 25)(17, 31, 58, 60, 32)(20, 37, 68, 70, 38)(23, 43, 78, 80, 44)(26, 49, 88, 90, 50)(27, 51, 91, 93, 52)(29, 54, 97, 99, 55)(33, 61, 109, 111, 62)(35, 64, 115, 116, 65)(39, 71, 125, 127, 72)(41, 74, 131, 133, 75)(45, 81, 143, 145, 82)(47, 84, 149, 150, 85)(53, 94, 164, 166, 95)(56, 100, 172, 174, 101)(57, 102, 175, 177, 103)(59, 105, 180, 182, 106)(63, 112, 190, 191, 113)(66, 117, 197, 199, 118)(67, 119, 201, 202, 120)(69, 122, 206, 207, 123)(73, 128, 187, 159, 129)(76, 134, 215, 216, 135)(77, 136, 163, 189, 137)(79, 139, 217, 196, 140)(83, 146, 222, 223, 147)(86, 151, 195, 171, 152)(87, 153, 165, 227, 154)(89, 156, 173, 198, 157)(92, 160, 205, 158, 161)(96, 167, 188, 110, 168)(98, 169, 228, 155, 170)(104, 178, 224, 148, 179)(107, 183, 220, 142, 184)(108, 185, 141, 219, 186)(114, 192, 138, 176, 193)(121, 203, 132, 214, 204)(124, 208, 126, 210, 209)(130, 212, 221, 144, 213)(162, 229, 237, 232, 194)(181, 231, 238, 230, 200)(211, 233, 239, 236, 225)(218, 235, 240, 234, 226)(241, 242)(243, 247)(244, 249)(245, 251)(246, 253)(248, 257)(250, 260)(252, 263)(254, 266)(255, 267)(256, 269)(258, 273)(259, 275)(261, 279)(262, 281)(264, 285)(265, 287)(268, 293)(270, 296)(271, 297)(272, 299)(274, 303)(276, 306)(277, 307)(278, 309)(280, 313)(282, 316)(283, 317)(284, 319)(286, 323)(288, 326)(289, 327)(290, 329)(291, 325)(292, 332)(294, 336)(295, 338)(298, 344)(300, 347)(301, 348)(302, 350)(304, 354)(305, 311)(308, 361)(310, 364)(312, 366)(314, 370)(315, 372)(318, 378)(320, 381)(321, 382)(322, 384)(324, 388)(328, 395)(330, 398)(331, 399)(333, 402)(334, 403)(335, 405)(337, 379)(339, 411)(340, 374)(341, 413)(342, 410)(343, 416)(345, 371)(346, 421)(349, 427)(351, 394)(352, 429)(353, 387)(355, 434)(356, 435)(357, 436)(358, 438)(359, 440)(360, 385)(362, 445)(363, 425)(365, 406)(367, 451)(368, 415)(369, 441)(373, 439)(375, 446)(376, 443)(377, 418)(380, 458)(383, 404)(386, 417)(389, 465)(390, 437)(391, 422)(392, 447)(393, 466)(396, 449)(397, 424)(400, 452)(401, 430)(407, 450)(408, 453)(409, 454)(412, 470)(414, 432)(419, 456)(420, 467)(423, 469)(426, 460)(428, 464)(431, 471)(433, 461)(442, 457)(444, 472)(448, 462)(455, 474)(459, 473)(463, 475)(468, 476)(477, 480)(478, 479)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 12, 12 ), ( 12^5 ) }
Outer automorphisms :: reflexible
Dual of E17.2238
Transitivity :: ET+
Graph:: simple bipartite
	v = 168 e = 240 f = 40
	degree seq :: [ 2^120, 5^48 ]

E17.2235 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T1^5, T2^6, T1 * T2^-1 * T1^-2 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T1^2 * T2^-2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2, T2^-1 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1 * T2^-1, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-2, T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^2 * T2^-2 * T1^-2 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 25, 15, 5)(2, 7, 18, 42, 21, 8)(4, 12, 30, 52, 23, 9)(6, 16, 37, 80, 40, 17)(11, 27, 60, 114, 54, 24)(13, 32, 69, 134, 64, 29)(14, 34, 73, 151, 76, 35)(19, 44, 93, 174, 88, 41)(20, 46, 97, 105, 100, 47)(22, 49, 103, 170, 106, 50)(26, 57, 120, 201, 116, 55)(28, 62, 129, 209, 124, 59)(31, 67, 140, 94, 136, 65)(33, 71, 146, 218, 149, 72)(36, 56, 117, 203, 161, 78)(38, 82, 126, 141, 163, 79)(39, 84, 156, 75, 155, 85)(43, 91, 138, 216, 176, 89)(45, 95, 180, 232, 182, 96)(48, 90, 123, 208, 188, 102)(51, 108, 194, 187, 101, 109)(53, 111, 197, 183, 98, 112)(58, 122, 206, 164, 81, 119)(61, 127, 143, 70, 145, 125)(63, 131, 186, 99, 157, 132)(66, 137, 166, 217, 147, 110)(68, 142, 207, 237, 211, 139)(74, 153, 135, 215, 219, 150)(77, 158, 133, 214, 181, 159)(83, 167, 225, 240, 226, 168)(86, 165, 148, 193, 107, 160)(87, 171, 228, 198, 169, 172)(92, 178, 130, 212, 144, 121)(104, 191, 205, 210, 233, 189)(113, 199, 236, 235, 196, 154)(115, 185, 173, 230, 195, 200)(118, 204, 175, 227, 190, 202)(128, 177, 231, 223, 220, 152)(162, 221, 238, 229, 213, 222)(179, 224, 239, 234, 192, 184)(241, 242, 246, 253, 244)(243, 249, 262, 268, 251)(245, 254, 273, 259, 247)(248, 260, 285, 278, 256)(250, 264, 293, 298, 266)(252, 269, 303, 308, 271)(255, 276, 317, 314, 274)(257, 279, 323, 310, 272)(258, 281, 327, 332, 283)(261, 288, 341, 338, 286)(263, 291, 347, 344, 289)(265, 295, 355, 358, 296)(267, 299, 363, 368, 301)(270, 305, 375, 378, 306)(275, 315, 394, 387, 311)(277, 319, 402, 406, 321)(280, 326, 401, 409, 324)(282, 329, 415, 417, 330)(284, 312, 388, 419, 334)(287, 339, 425, 356, 335)(290, 345, 432, 370, 302)(292, 350, 436, 435, 348)(294, 353, 396, 438, 351)(297, 359, 377, 331, 361)(300, 365, 333, 380, 366)(304, 373, 428, 453, 371)(307, 379, 357, 442, 381)(309, 383, 445, 360, 384)(313, 390, 450, 367, 392)(316, 397, 340, 346, 395)(318, 400, 349, 342, 398)(320, 404, 463, 464, 405)(322, 336, 421, 439, 354)(325, 410, 467, 416, 407)(328, 413, 426, 469, 411)(337, 423, 455, 376, 424)(343, 429, 461, 403, 430)(352, 427, 466, 447, 362)(364, 386, 457, 462, 448)(369, 418, 412, 443, 451)(372, 391, 460, 446, 382)(374, 452, 474, 476, 454)(385, 408, 434, 470, 414)(389, 420, 441, 431, 433)(393, 399, 422, 465, 456)(437, 468, 478, 473, 459)(440, 475, 479, 471, 444)(449, 477, 480, 472, 458)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 4^5 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2239
Transitivity :: ET+
Graph:: simple bipartite
	v = 88 e = 240 f = 120
	degree seq :: [ 5^48, 6^40 ]

E17.2236 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 5, 6})
Quotient :: edge
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, (T2 * T1^-1)^5, T2 * T1 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 35)(19, 37)(20, 38)(23, 45)(24, 46)(25, 49)(28, 54)(29, 55)(31, 59)(32, 60)(33, 63)(34, 50)(36, 68)(39, 72)(40, 74)(41, 75)(42, 78)(43, 79)(44, 82)(47, 87)(48, 88)(51, 92)(52, 95)(53, 83)(56, 102)(57, 103)(58, 106)(61, 110)(62, 112)(64, 115)(65, 117)(66, 118)(67, 120)(69, 124)(70, 125)(71, 128)(73, 132)(76, 136)(77, 138)(80, 143)(81, 144)(84, 148)(85, 151)(86, 139)(89, 158)(90, 159)(91, 162)(93, 165)(94, 167)(96, 170)(97, 172)(98, 173)(99, 175)(100, 174)(101, 155)(104, 180)(105, 146)(107, 181)(108, 183)(109, 178)(111, 185)(113, 187)(114, 188)(116, 192)(119, 193)(121, 145)(122, 186)(123, 177)(126, 150)(127, 149)(129, 166)(130, 154)(131, 184)(133, 142)(134, 189)(135, 176)(137, 199)(140, 202)(141, 203)(147, 210)(152, 213)(153, 215)(156, 216)(157, 206)(160, 218)(161, 200)(163, 219)(164, 217)(168, 220)(169, 221)(171, 222)(179, 223)(182, 205)(190, 212)(191, 225)(194, 230)(195, 227)(196, 207)(197, 228)(198, 209)(201, 233)(204, 234)(208, 236)(211, 237)(214, 238)(224, 235)(226, 239)(229, 232)(231, 240)(241, 242, 245, 251, 250, 244)(243, 247, 255, 269, 258, 248)(246, 253, 265, 288, 268, 254)(249, 259, 276, 307, 279, 260)(252, 263, 284, 321, 287, 264)(256, 271, 298, 345, 301, 272)(257, 273, 302, 351, 304, 274)(261, 280, 313, 371, 316, 281)(262, 282, 317, 377, 320, 283)(266, 290, 331, 401, 333, 291)(267, 292, 334, 406, 336, 293)(270, 296, 341, 417, 344, 297)(275, 305, 356, 410, 359, 306)(277, 309, 363, 399, 366, 310)(278, 311, 367, 422, 347, 299)(285, 323, 387, 449, 389, 324)(286, 325, 390, 357, 392, 326)(289, 329, 397, 346, 400, 330)(294, 337, 411, 453, 414, 338)(295, 339, 388, 451, 416, 340)(300, 348, 391, 452, 424, 349)(303, 353, 384, 446, 429, 354)(308, 361, 415, 463, 434, 362)(312, 369, 431, 355, 430, 370)(314, 373, 419, 343, 407, 374)(315, 375, 405, 455, 435, 364)(318, 379, 441, 426, 352, 380)(319, 381, 350, 412, 444, 382)(322, 385, 447, 402, 448, 386)(327, 393, 454, 474, 456, 394)(328, 395, 442, 437, 368, 396)(332, 403, 443, 433, 360, 404)(335, 408, 439, 436, 365, 409)(342, 418, 450, 472, 440, 378)(358, 383, 445, 475, 467, 427)(372, 398, 457, 473, 471, 438)(376, 425, 466, 421, 460, 413)(420, 464, 480, 462, 476, 465)(423, 459, 477, 468, 428, 461)(432, 458, 479, 470, 478, 469)
	L = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)
	local type(s) :: { ( 10, 10 ), ( 10^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2237
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 240 f = 48
	degree seq :: [ 2^120, 6^40 ]

E17.2237 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T2)^2, (F * T1)^2, T2^5, (T2^-1 * T1)^6, T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^2 * T1 * T2 * T1, T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-2, T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^2, T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 241, 3, 243, 8, 248, 10, 250, 4, 244)(2, 242, 5, 245, 12, 252, 14, 254, 6, 246)(7, 247, 15, 255, 28, 268, 30, 270, 16, 256)(9, 249, 18, 258, 34, 274, 36, 276, 19, 259)(11, 251, 21, 261, 40, 280, 42, 282, 22, 262)(13, 253, 24, 264, 46, 286, 48, 288, 25, 265)(17, 257, 31, 271, 58, 298, 60, 300, 32, 272)(20, 260, 37, 277, 68, 308, 70, 310, 38, 278)(23, 263, 43, 283, 78, 318, 80, 320, 44, 284)(26, 266, 49, 289, 88, 328, 90, 330, 50, 290)(27, 267, 51, 291, 91, 331, 93, 333, 52, 292)(29, 269, 54, 294, 97, 337, 99, 339, 55, 295)(33, 273, 61, 301, 109, 349, 111, 351, 62, 302)(35, 275, 64, 304, 115, 355, 116, 356, 65, 305)(39, 279, 71, 311, 125, 365, 127, 367, 72, 312)(41, 281, 74, 314, 131, 371, 133, 373, 75, 315)(45, 285, 81, 321, 143, 383, 145, 385, 82, 322)(47, 287, 84, 324, 149, 389, 150, 390, 85, 325)(53, 293, 94, 334, 164, 404, 166, 406, 95, 335)(56, 296, 100, 340, 172, 412, 174, 414, 101, 341)(57, 297, 102, 342, 175, 415, 177, 417, 103, 343)(59, 299, 105, 345, 180, 420, 182, 422, 106, 346)(63, 303, 112, 352, 190, 430, 191, 431, 113, 353)(66, 306, 117, 357, 197, 437, 199, 439, 118, 358)(67, 307, 119, 359, 201, 441, 202, 442, 120, 360)(69, 309, 122, 362, 206, 446, 207, 447, 123, 363)(73, 313, 128, 368, 187, 427, 159, 399, 129, 369)(76, 316, 134, 374, 215, 455, 216, 456, 135, 375)(77, 317, 136, 376, 163, 403, 189, 429, 137, 377)(79, 319, 139, 379, 217, 457, 196, 436, 140, 380)(83, 323, 146, 386, 222, 462, 223, 463, 147, 387)(86, 326, 151, 391, 195, 435, 171, 411, 152, 392)(87, 327, 153, 393, 165, 405, 227, 467, 154, 394)(89, 329, 156, 396, 173, 413, 198, 438, 157, 397)(92, 332, 160, 400, 205, 445, 158, 398, 161, 401)(96, 336, 167, 407, 188, 428, 110, 350, 168, 408)(98, 338, 169, 409, 228, 468, 155, 395, 170, 410)(104, 344, 178, 418, 224, 464, 148, 388, 179, 419)(107, 347, 183, 423, 220, 460, 142, 382, 184, 424)(108, 348, 185, 425, 141, 381, 219, 459, 186, 426)(114, 354, 192, 432, 138, 378, 176, 416, 193, 433)(121, 361, 203, 443, 132, 372, 214, 454, 204, 444)(124, 364, 208, 448, 126, 366, 210, 450, 209, 449)(130, 370, 212, 452, 221, 461, 144, 384, 213, 453)(162, 402, 229, 469, 237, 477, 232, 472, 194, 434)(181, 421, 231, 471, 238, 478, 230, 470, 200, 440)(211, 451, 233, 473, 239, 479, 236, 476, 225, 465)(218, 458, 235, 475, 240, 480, 234, 474, 226, 466)
	L = (1, 242)(2, 241)(3, 247)(4, 249)(5, 251)(6, 253)(7, 243)(8, 257)(9, 244)(10, 260)(11, 245)(12, 263)(13, 246)(14, 266)(15, 267)(16, 269)(17, 248)(18, 273)(19, 275)(20, 250)(21, 279)(22, 281)(23, 252)(24, 285)(25, 287)(26, 254)(27, 255)(28, 293)(29, 256)(30, 296)(31, 297)(32, 299)(33, 258)(34, 303)(35, 259)(36, 306)(37, 307)(38, 309)(39, 261)(40, 313)(41, 262)(42, 316)(43, 317)(44, 319)(45, 264)(46, 323)(47, 265)(48, 326)(49, 327)(50, 329)(51, 325)(52, 332)(53, 268)(54, 336)(55, 338)(56, 270)(57, 271)(58, 344)(59, 272)(60, 347)(61, 348)(62, 350)(63, 274)(64, 354)(65, 311)(66, 276)(67, 277)(68, 361)(69, 278)(70, 364)(71, 305)(72, 366)(73, 280)(74, 370)(75, 372)(76, 282)(77, 283)(78, 378)(79, 284)(80, 381)(81, 382)(82, 384)(83, 286)(84, 388)(85, 291)(86, 288)(87, 289)(88, 395)(89, 290)(90, 398)(91, 399)(92, 292)(93, 402)(94, 403)(95, 405)(96, 294)(97, 379)(98, 295)(99, 411)(100, 374)(101, 413)(102, 410)(103, 416)(104, 298)(105, 371)(106, 421)(107, 300)(108, 301)(109, 427)(110, 302)(111, 394)(112, 429)(113, 387)(114, 304)(115, 434)(116, 435)(117, 436)(118, 438)(119, 440)(120, 385)(121, 308)(122, 445)(123, 425)(124, 310)(125, 406)(126, 312)(127, 451)(128, 415)(129, 441)(130, 314)(131, 345)(132, 315)(133, 439)(134, 340)(135, 446)(136, 443)(137, 418)(138, 318)(139, 337)(140, 458)(141, 320)(142, 321)(143, 404)(144, 322)(145, 360)(146, 417)(147, 353)(148, 324)(149, 465)(150, 437)(151, 422)(152, 447)(153, 466)(154, 351)(155, 328)(156, 449)(157, 424)(158, 330)(159, 331)(160, 452)(161, 430)(162, 333)(163, 334)(164, 383)(165, 335)(166, 365)(167, 450)(168, 453)(169, 454)(170, 342)(171, 339)(172, 470)(173, 341)(174, 432)(175, 368)(176, 343)(177, 386)(178, 377)(179, 456)(180, 467)(181, 346)(182, 391)(183, 469)(184, 397)(185, 363)(186, 460)(187, 349)(188, 464)(189, 352)(190, 401)(191, 471)(192, 414)(193, 461)(194, 355)(195, 356)(196, 357)(197, 390)(198, 358)(199, 373)(200, 359)(201, 369)(202, 457)(203, 376)(204, 472)(205, 362)(206, 375)(207, 392)(208, 462)(209, 396)(210, 407)(211, 367)(212, 400)(213, 408)(214, 409)(215, 474)(216, 419)(217, 442)(218, 380)(219, 473)(220, 426)(221, 433)(222, 448)(223, 475)(224, 428)(225, 389)(226, 393)(227, 420)(228, 476)(229, 423)(230, 412)(231, 431)(232, 444)(233, 459)(234, 455)(235, 463)(236, 468)(237, 480)(238, 479)(239, 478)(240, 477)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2236
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 48 e = 240 f = 160
	degree seq :: [ 10^48 ]

E17.2238 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2^-1)^2, T1^5, T2^6, T1 * T2^-1 * T1^-2 * T2^2 * T1 * T2^-2 * T1 * T2^-1, T1^2 * T2^-2 * T1^-1 * T2^2 * T1^-1 * T2 * T1^-1 * T2, T2^-1 * T1^-2 * T2^2 * T1^-2 * T2^-2 * T1 * T2^-1, T1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-2, T1 * T2^-1 * T1^-1 * T2 * T1 * T2^-1 * T1^2 * T2^-2 * T1^-2 * T2^-1 ]
Map::
	R = (1, 241, 3, 243, 10, 250, 25, 265, 15, 255, 5, 245)(2, 242, 7, 247, 18, 258, 42, 282, 21, 261, 8, 248)(4, 244, 12, 252, 30, 270, 52, 292, 23, 263, 9, 249)(6, 246, 16, 256, 37, 277, 80, 320, 40, 280, 17, 257)(11, 251, 27, 267, 60, 300, 114, 354, 54, 294, 24, 264)(13, 253, 32, 272, 69, 309, 134, 374, 64, 304, 29, 269)(14, 254, 34, 274, 73, 313, 151, 391, 76, 316, 35, 275)(19, 259, 44, 284, 93, 333, 174, 414, 88, 328, 41, 281)(20, 260, 46, 286, 97, 337, 105, 345, 100, 340, 47, 287)(22, 262, 49, 289, 103, 343, 170, 410, 106, 346, 50, 290)(26, 266, 57, 297, 120, 360, 201, 441, 116, 356, 55, 295)(28, 268, 62, 302, 129, 369, 209, 449, 124, 364, 59, 299)(31, 271, 67, 307, 140, 380, 94, 334, 136, 376, 65, 305)(33, 273, 71, 311, 146, 386, 218, 458, 149, 389, 72, 312)(36, 276, 56, 296, 117, 357, 203, 443, 161, 401, 78, 318)(38, 278, 82, 322, 126, 366, 141, 381, 163, 403, 79, 319)(39, 279, 84, 324, 156, 396, 75, 315, 155, 395, 85, 325)(43, 283, 91, 331, 138, 378, 216, 456, 176, 416, 89, 329)(45, 285, 95, 335, 180, 420, 232, 472, 182, 422, 96, 336)(48, 288, 90, 330, 123, 363, 208, 448, 188, 428, 102, 342)(51, 291, 108, 348, 194, 434, 187, 427, 101, 341, 109, 349)(53, 293, 111, 351, 197, 437, 183, 423, 98, 338, 112, 352)(58, 298, 122, 362, 206, 446, 164, 404, 81, 321, 119, 359)(61, 301, 127, 367, 143, 383, 70, 310, 145, 385, 125, 365)(63, 303, 131, 371, 186, 426, 99, 339, 157, 397, 132, 372)(66, 306, 137, 377, 166, 406, 217, 457, 147, 387, 110, 350)(68, 308, 142, 382, 207, 447, 237, 477, 211, 451, 139, 379)(74, 314, 153, 393, 135, 375, 215, 455, 219, 459, 150, 390)(77, 317, 158, 398, 133, 373, 214, 454, 181, 421, 159, 399)(83, 323, 167, 407, 225, 465, 240, 480, 226, 466, 168, 408)(86, 326, 165, 405, 148, 388, 193, 433, 107, 347, 160, 400)(87, 327, 171, 411, 228, 468, 198, 438, 169, 409, 172, 412)(92, 332, 178, 418, 130, 370, 212, 452, 144, 384, 121, 361)(104, 344, 191, 431, 205, 445, 210, 450, 233, 473, 189, 429)(113, 353, 199, 439, 236, 476, 235, 475, 196, 436, 154, 394)(115, 355, 185, 425, 173, 413, 230, 470, 195, 435, 200, 440)(118, 358, 204, 444, 175, 415, 227, 467, 190, 430, 202, 442)(128, 368, 177, 417, 231, 471, 223, 463, 220, 460, 152, 392)(162, 402, 221, 461, 238, 478, 229, 469, 213, 453, 222, 462)(179, 419, 224, 464, 239, 479, 234, 474, 192, 432, 184, 424)
	L = (1, 242)(2, 246)(3, 249)(4, 241)(5, 254)(6, 253)(7, 245)(8, 260)(9, 262)(10, 264)(11, 243)(12, 269)(13, 244)(14, 273)(15, 276)(16, 248)(17, 279)(18, 281)(19, 247)(20, 285)(21, 288)(22, 268)(23, 291)(24, 293)(25, 295)(26, 250)(27, 299)(28, 251)(29, 303)(30, 305)(31, 252)(32, 257)(33, 259)(34, 255)(35, 315)(36, 317)(37, 319)(38, 256)(39, 323)(40, 326)(41, 327)(42, 329)(43, 258)(44, 312)(45, 278)(46, 261)(47, 339)(48, 341)(49, 263)(50, 345)(51, 347)(52, 350)(53, 298)(54, 353)(55, 355)(56, 265)(57, 359)(58, 266)(59, 363)(60, 365)(61, 267)(62, 290)(63, 308)(64, 373)(65, 375)(66, 270)(67, 379)(68, 271)(69, 383)(70, 272)(71, 275)(72, 388)(73, 390)(74, 274)(75, 394)(76, 397)(77, 314)(78, 400)(79, 402)(80, 404)(81, 277)(82, 336)(83, 310)(84, 280)(85, 410)(86, 401)(87, 332)(88, 413)(89, 415)(90, 282)(91, 361)(92, 283)(93, 380)(94, 284)(95, 287)(96, 421)(97, 423)(98, 286)(99, 425)(100, 346)(101, 338)(102, 398)(103, 429)(104, 289)(105, 432)(106, 395)(107, 344)(108, 292)(109, 342)(110, 436)(111, 294)(112, 427)(113, 396)(114, 322)(115, 358)(116, 335)(117, 442)(118, 296)(119, 377)(120, 384)(121, 297)(122, 352)(123, 368)(124, 386)(125, 333)(126, 300)(127, 392)(128, 301)(129, 418)(130, 302)(131, 304)(132, 391)(133, 428)(134, 452)(135, 378)(136, 424)(137, 331)(138, 306)(139, 357)(140, 366)(141, 307)(142, 372)(143, 445)(144, 309)(145, 408)(146, 457)(147, 311)(148, 419)(149, 420)(150, 450)(151, 460)(152, 313)(153, 399)(154, 387)(155, 316)(156, 438)(157, 340)(158, 318)(159, 422)(160, 349)(161, 409)(162, 406)(163, 430)(164, 463)(165, 320)(166, 321)(167, 325)(168, 434)(169, 324)(170, 467)(171, 328)(172, 443)(173, 426)(174, 385)(175, 417)(176, 407)(177, 330)(178, 412)(179, 334)(180, 441)(181, 439)(182, 465)(183, 455)(184, 337)(185, 356)(186, 469)(187, 466)(188, 453)(189, 461)(190, 343)(191, 433)(192, 370)(193, 389)(194, 470)(195, 348)(196, 435)(197, 468)(198, 351)(199, 354)(200, 475)(201, 431)(202, 381)(203, 451)(204, 440)(205, 360)(206, 382)(207, 362)(208, 364)(209, 477)(210, 367)(211, 369)(212, 474)(213, 371)(214, 374)(215, 376)(216, 393)(217, 462)(218, 449)(219, 437)(220, 446)(221, 403)(222, 448)(223, 464)(224, 405)(225, 456)(226, 447)(227, 416)(228, 478)(229, 411)(230, 414)(231, 444)(232, 458)(233, 459)(234, 476)(235, 479)(236, 454)(237, 480)(238, 473)(239, 471)(240, 472)
	local type(s) :: { ( 2, 5, 2, 5, 2, 5, 2, 5, 2, 5, 2, 5 ) }
Outer automorphisms :: reflexible
Dual of E17.2234
Transitivity :: ET+ VT+ AT
Graph::
	v = 40 e = 240 f = 168
	degree seq :: [ 12^40 ]

E17.2239 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 5, 6})
Quotient :: loop
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, T1^6, (T2 * T1^-1)^5, T2 * T1 * T2 * T1^2 * T2 * T1^-3 * T2 * T1^-2 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-1, T2 * T1^2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 241, 3, 243)(2, 242, 6, 246)(4, 244, 9, 249)(5, 245, 12, 252)(7, 247, 16, 256)(8, 248, 17, 257)(10, 250, 21, 261)(11, 251, 22, 262)(13, 253, 26, 266)(14, 254, 27, 267)(15, 255, 30, 270)(18, 258, 35, 275)(19, 259, 37, 277)(20, 260, 38, 278)(23, 263, 45, 285)(24, 264, 46, 286)(25, 265, 49, 289)(28, 268, 54, 294)(29, 269, 55, 295)(31, 271, 59, 299)(32, 272, 60, 300)(33, 273, 63, 303)(34, 274, 50, 290)(36, 276, 68, 308)(39, 279, 72, 312)(40, 280, 74, 314)(41, 281, 75, 315)(42, 282, 78, 318)(43, 283, 79, 319)(44, 284, 82, 322)(47, 287, 87, 327)(48, 288, 88, 328)(51, 291, 92, 332)(52, 292, 95, 335)(53, 293, 83, 323)(56, 296, 102, 342)(57, 297, 103, 343)(58, 298, 106, 346)(61, 301, 110, 350)(62, 302, 112, 352)(64, 304, 115, 355)(65, 305, 117, 357)(66, 306, 118, 358)(67, 307, 120, 360)(69, 309, 124, 364)(70, 310, 125, 365)(71, 311, 128, 368)(73, 313, 132, 372)(76, 316, 136, 376)(77, 317, 138, 378)(80, 320, 143, 383)(81, 321, 144, 384)(84, 324, 148, 388)(85, 325, 151, 391)(86, 326, 139, 379)(89, 329, 158, 398)(90, 330, 159, 399)(91, 331, 162, 402)(93, 333, 165, 405)(94, 334, 167, 407)(96, 336, 170, 410)(97, 337, 172, 412)(98, 338, 173, 413)(99, 339, 175, 415)(100, 340, 174, 414)(101, 341, 155, 395)(104, 344, 180, 420)(105, 345, 146, 386)(107, 347, 181, 421)(108, 348, 183, 423)(109, 349, 178, 418)(111, 351, 185, 425)(113, 353, 187, 427)(114, 354, 188, 428)(116, 356, 192, 432)(119, 359, 193, 433)(121, 361, 145, 385)(122, 362, 186, 426)(123, 363, 177, 417)(126, 366, 150, 390)(127, 367, 149, 389)(129, 369, 166, 406)(130, 370, 154, 394)(131, 371, 184, 424)(133, 373, 142, 382)(134, 374, 189, 429)(135, 375, 176, 416)(137, 377, 199, 439)(140, 380, 202, 442)(141, 381, 203, 443)(147, 387, 210, 450)(152, 392, 213, 453)(153, 393, 215, 455)(156, 396, 216, 456)(157, 397, 206, 446)(160, 400, 218, 458)(161, 401, 200, 440)(163, 403, 219, 459)(164, 404, 217, 457)(168, 408, 220, 460)(169, 409, 221, 461)(171, 411, 222, 462)(179, 419, 223, 463)(182, 422, 205, 445)(190, 430, 212, 452)(191, 431, 225, 465)(194, 434, 230, 470)(195, 435, 227, 467)(196, 436, 207, 447)(197, 437, 228, 468)(198, 438, 209, 449)(201, 441, 233, 473)(204, 444, 234, 474)(208, 448, 236, 476)(211, 451, 237, 477)(214, 454, 238, 478)(224, 464, 235, 475)(226, 466, 239, 479)(229, 469, 232, 472)(231, 471, 240, 480)
	L = (1, 242)(2, 245)(3, 247)(4, 241)(5, 251)(6, 253)(7, 255)(8, 243)(9, 259)(10, 244)(11, 250)(12, 263)(13, 265)(14, 246)(15, 269)(16, 271)(17, 273)(18, 248)(19, 276)(20, 249)(21, 280)(22, 282)(23, 284)(24, 252)(25, 288)(26, 290)(27, 292)(28, 254)(29, 258)(30, 296)(31, 298)(32, 256)(33, 302)(34, 257)(35, 305)(36, 307)(37, 309)(38, 311)(39, 260)(40, 313)(41, 261)(42, 317)(43, 262)(44, 321)(45, 323)(46, 325)(47, 264)(48, 268)(49, 329)(50, 331)(51, 266)(52, 334)(53, 267)(54, 337)(55, 339)(56, 341)(57, 270)(58, 345)(59, 278)(60, 348)(61, 272)(62, 351)(63, 353)(64, 274)(65, 356)(66, 275)(67, 279)(68, 361)(69, 363)(70, 277)(71, 367)(72, 369)(73, 371)(74, 373)(75, 375)(76, 281)(77, 377)(78, 379)(79, 381)(80, 283)(81, 287)(82, 385)(83, 387)(84, 285)(85, 390)(86, 286)(87, 393)(88, 395)(89, 397)(90, 289)(91, 401)(92, 403)(93, 291)(94, 406)(95, 408)(96, 293)(97, 411)(98, 294)(99, 388)(100, 295)(101, 417)(102, 418)(103, 407)(104, 297)(105, 301)(106, 400)(107, 299)(108, 391)(109, 300)(110, 412)(111, 304)(112, 380)(113, 384)(114, 303)(115, 430)(116, 410)(117, 392)(118, 383)(119, 306)(120, 404)(121, 415)(122, 308)(123, 399)(124, 315)(125, 409)(126, 310)(127, 422)(128, 396)(129, 431)(130, 312)(131, 316)(132, 398)(133, 419)(134, 314)(135, 405)(136, 425)(137, 320)(138, 342)(139, 441)(140, 318)(141, 350)(142, 319)(143, 445)(144, 446)(145, 447)(146, 322)(147, 449)(148, 451)(149, 324)(150, 357)(151, 452)(152, 326)(153, 454)(154, 327)(155, 442)(156, 328)(157, 346)(158, 457)(159, 366)(160, 330)(161, 333)(162, 448)(163, 443)(164, 332)(165, 455)(166, 336)(167, 374)(168, 439)(169, 335)(170, 359)(171, 453)(172, 444)(173, 376)(174, 338)(175, 463)(176, 340)(177, 344)(178, 450)(179, 343)(180, 464)(181, 460)(182, 347)(183, 459)(184, 349)(185, 466)(186, 352)(187, 358)(188, 461)(189, 354)(190, 370)(191, 355)(192, 458)(193, 360)(194, 362)(195, 364)(196, 365)(197, 368)(198, 372)(199, 436)(200, 378)(201, 426)(202, 437)(203, 433)(204, 382)(205, 475)(206, 429)(207, 402)(208, 386)(209, 389)(210, 472)(211, 416)(212, 424)(213, 414)(214, 474)(215, 435)(216, 394)(217, 473)(218, 479)(219, 477)(220, 413)(221, 423)(222, 476)(223, 434)(224, 480)(225, 420)(226, 421)(227, 427)(228, 428)(229, 432)(230, 478)(231, 438)(232, 440)(233, 471)(234, 456)(235, 467)(236, 465)(237, 468)(238, 469)(239, 470)(240, 462)
	local type(s) :: { ( 5, 6, 5, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2235
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 120 e = 240 f = 88
	degree seq :: [ 4^120 ]

E17.2240 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^5, (R * Y2 * Y3^-1)^2, (Y2^-1 * R * Y1 * Y2^-1)^2, (Y3 * Y2^-1)^6, (Y1 * Y2^-1)^6, Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2 * Y1, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2, Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 20, 260)(12, 252, 23, 263)(14, 254, 26, 266)(15, 255, 27, 267)(16, 256, 29, 269)(18, 258, 33, 273)(19, 259, 35, 275)(21, 261, 39, 279)(22, 262, 41, 281)(24, 264, 45, 285)(25, 265, 47, 287)(28, 268, 53, 293)(30, 270, 56, 296)(31, 271, 57, 297)(32, 272, 59, 299)(34, 274, 63, 303)(36, 276, 66, 306)(37, 277, 67, 307)(38, 278, 69, 309)(40, 280, 73, 313)(42, 282, 76, 316)(43, 283, 77, 317)(44, 284, 79, 319)(46, 286, 83, 323)(48, 288, 86, 326)(49, 289, 87, 327)(50, 290, 89, 329)(51, 291, 85, 325)(52, 292, 92, 332)(54, 294, 96, 336)(55, 295, 98, 338)(58, 298, 104, 344)(60, 300, 107, 347)(61, 301, 108, 348)(62, 302, 110, 350)(64, 304, 114, 354)(65, 305, 71, 311)(68, 308, 121, 361)(70, 310, 124, 364)(72, 312, 126, 366)(74, 314, 130, 370)(75, 315, 132, 372)(78, 318, 138, 378)(80, 320, 141, 381)(81, 321, 142, 382)(82, 322, 144, 384)(84, 324, 148, 388)(88, 328, 155, 395)(90, 330, 158, 398)(91, 331, 159, 399)(93, 333, 162, 402)(94, 334, 163, 403)(95, 335, 165, 405)(97, 337, 139, 379)(99, 339, 171, 411)(100, 340, 134, 374)(101, 341, 173, 413)(102, 342, 170, 410)(103, 343, 176, 416)(105, 345, 131, 371)(106, 346, 181, 421)(109, 349, 187, 427)(111, 351, 154, 394)(112, 352, 189, 429)(113, 353, 147, 387)(115, 355, 194, 434)(116, 356, 195, 435)(117, 357, 196, 436)(118, 358, 198, 438)(119, 359, 200, 440)(120, 360, 145, 385)(122, 362, 205, 445)(123, 363, 185, 425)(125, 365, 166, 406)(127, 367, 211, 451)(128, 368, 175, 415)(129, 369, 201, 441)(133, 373, 199, 439)(135, 375, 206, 446)(136, 376, 203, 443)(137, 377, 178, 418)(140, 380, 218, 458)(143, 383, 164, 404)(146, 386, 177, 417)(149, 389, 225, 465)(150, 390, 197, 437)(151, 391, 182, 422)(152, 392, 207, 447)(153, 393, 226, 466)(156, 396, 209, 449)(157, 397, 184, 424)(160, 400, 212, 452)(161, 401, 190, 430)(167, 407, 210, 450)(168, 408, 213, 453)(169, 409, 214, 454)(172, 412, 230, 470)(174, 414, 192, 432)(179, 419, 216, 456)(180, 420, 227, 467)(183, 423, 229, 469)(186, 426, 220, 460)(188, 428, 224, 464)(191, 431, 231, 471)(193, 433, 221, 461)(202, 442, 217, 457)(204, 444, 232, 472)(208, 448, 222, 462)(215, 455, 234, 474)(219, 459, 233, 473)(223, 463, 235, 475)(228, 468, 236, 476)(237, 477, 240, 480)(238, 478, 239, 479)(481, 721, 483, 723, 488, 728, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 494, 734, 486, 726)(487, 727, 495, 735, 508, 748, 510, 750, 496, 736)(489, 729, 498, 738, 514, 754, 516, 756, 499, 739)(491, 731, 501, 741, 520, 760, 522, 762, 502, 742)(493, 733, 504, 744, 526, 766, 528, 768, 505, 745)(497, 737, 511, 751, 538, 778, 540, 780, 512, 752)(500, 740, 517, 757, 548, 788, 550, 790, 518, 758)(503, 743, 523, 763, 558, 798, 560, 800, 524, 764)(506, 746, 529, 769, 568, 808, 570, 810, 530, 770)(507, 747, 531, 771, 571, 811, 573, 813, 532, 772)(509, 749, 534, 774, 577, 817, 579, 819, 535, 775)(513, 753, 541, 781, 589, 829, 591, 831, 542, 782)(515, 755, 544, 784, 595, 835, 596, 836, 545, 785)(519, 759, 551, 791, 605, 845, 607, 847, 552, 792)(521, 761, 554, 794, 611, 851, 613, 853, 555, 795)(525, 765, 561, 801, 623, 863, 625, 865, 562, 802)(527, 767, 564, 804, 629, 869, 630, 870, 565, 805)(533, 773, 574, 814, 644, 884, 646, 886, 575, 815)(536, 776, 580, 820, 652, 892, 654, 894, 581, 821)(537, 777, 582, 822, 655, 895, 657, 897, 583, 823)(539, 779, 585, 825, 660, 900, 662, 902, 586, 826)(543, 783, 592, 832, 670, 910, 671, 911, 593, 833)(546, 786, 597, 837, 677, 917, 679, 919, 598, 838)(547, 787, 599, 839, 681, 921, 682, 922, 600, 840)(549, 789, 602, 842, 686, 926, 687, 927, 603, 843)(553, 793, 608, 848, 667, 907, 639, 879, 609, 849)(556, 796, 614, 854, 695, 935, 696, 936, 615, 855)(557, 797, 616, 856, 643, 883, 669, 909, 617, 857)(559, 799, 619, 859, 697, 937, 676, 916, 620, 860)(563, 803, 626, 866, 702, 942, 703, 943, 627, 867)(566, 806, 631, 871, 675, 915, 651, 891, 632, 872)(567, 807, 633, 873, 645, 885, 707, 947, 634, 874)(569, 809, 636, 876, 653, 893, 678, 918, 637, 877)(572, 812, 640, 880, 685, 925, 638, 878, 641, 881)(576, 816, 647, 887, 668, 908, 590, 830, 648, 888)(578, 818, 649, 889, 708, 948, 635, 875, 650, 890)(584, 824, 658, 898, 704, 944, 628, 868, 659, 899)(587, 827, 663, 903, 700, 940, 622, 862, 664, 904)(588, 828, 665, 905, 621, 861, 699, 939, 666, 906)(594, 834, 672, 912, 618, 858, 656, 896, 673, 913)(601, 841, 683, 923, 612, 852, 694, 934, 684, 924)(604, 844, 688, 928, 606, 846, 690, 930, 689, 929)(610, 850, 692, 932, 701, 941, 624, 864, 693, 933)(642, 882, 709, 949, 717, 957, 712, 952, 674, 914)(661, 901, 711, 951, 718, 958, 710, 950, 680, 920)(691, 931, 713, 953, 719, 959, 716, 956, 705, 945)(698, 938, 715, 955, 720, 960, 714, 954, 706, 946)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 500)(11, 485)(12, 503)(13, 486)(14, 506)(15, 507)(16, 509)(17, 488)(18, 513)(19, 515)(20, 490)(21, 519)(22, 521)(23, 492)(24, 525)(25, 527)(26, 494)(27, 495)(28, 533)(29, 496)(30, 536)(31, 537)(32, 539)(33, 498)(34, 543)(35, 499)(36, 546)(37, 547)(38, 549)(39, 501)(40, 553)(41, 502)(42, 556)(43, 557)(44, 559)(45, 504)(46, 563)(47, 505)(48, 566)(49, 567)(50, 569)(51, 565)(52, 572)(53, 508)(54, 576)(55, 578)(56, 510)(57, 511)(58, 584)(59, 512)(60, 587)(61, 588)(62, 590)(63, 514)(64, 594)(65, 551)(66, 516)(67, 517)(68, 601)(69, 518)(70, 604)(71, 545)(72, 606)(73, 520)(74, 610)(75, 612)(76, 522)(77, 523)(78, 618)(79, 524)(80, 621)(81, 622)(82, 624)(83, 526)(84, 628)(85, 531)(86, 528)(87, 529)(88, 635)(89, 530)(90, 638)(91, 639)(92, 532)(93, 642)(94, 643)(95, 645)(96, 534)(97, 619)(98, 535)(99, 651)(100, 614)(101, 653)(102, 650)(103, 656)(104, 538)(105, 611)(106, 661)(107, 540)(108, 541)(109, 667)(110, 542)(111, 634)(112, 669)(113, 627)(114, 544)(115, 674)(116, 675)(117, 676)(118, 678)(119, 680)(120, 625)(121, 548)(122, 685)(123, 665)(124, 550)(125, 646)(126, 552)(127, 691)(128, 655)(129, 681)(130, 554)(131, 585)(132, 555)(133, 679)(134, 580)(135, 686)(136, 683)(137, 658)(138, 558)(139, 577)(140, 698)(141, 560)(142, 561)(143, 644)(144, 562)(145, 600)(146, 657)(147, 593)(148, 564)(149, 705)(150, 677)(151, 662)(152, 687)(153, 706)(154, 591)(155, 568)(156, 689)(157, 664)(158, 570)(159, 571)(160, 692)(161, 670)(162, 573)(163, 574)(164, 623)(165, 575)(166, 605)(167, 690)(168, 693)(169, 694)(170, 582)(171, 579)(172, 710)(173, 581)(174, 672)(175, 608)(176, 583)(177, 626)(178, 617)(179, 696)(180, 707)(181, 586)(182, 631)(183, 709)(184, 637)(185, 603)(186, 700)(187, 589)(188, 704)(189, 592)(190, 641)(191, 711)(192, 654)(193, 701)(194, 595)(195, 596)(196, 597)(197, 630)(198, 598)(199, 613)(200, 599)(201, 609)(202, 697)(203, 616)(204, 712)(205, 602)(206, 615)(207, 632)(208, 702)(209, 636)(210, 647)(211, 607)(212, 640)(213, 648)(214, 649)(215, 714)(216, 659)(217, 682)(218, 620)(219, 713)(220, 666)(221, 673)(222, 688)(223, 715)(224, 668)(225, 629)(226, 633)(227, 660)(228, 716)(229, 663)(230, 652)(231, 671)(232, 684)(233, 699)(234, 695)(235, 703)(236, 708)(237, 720)(238, 719)(239, 718)(240, 717)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2243
Graph:: bipartite
	v = 168 e = 480 f = 280
	degree seq :: [ 4^120, 10^48 ]

E17.2241 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^5, Y2^6, Y1 * Y2^-1 * Y1^-2 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-1, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2, Y2^-1 * Y1^-2 * Y2^2 * Y1^-2 * Y2^-2 * Y1 * Y2^-1, Y1^2 * Y2^-2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2, Y1 * Y2^-1 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1^-2 * Y2^-1 ]
Map::
	R = (1, 241, 2, 242, 6, 246, 13, 253, 4, 244)(3, 243, 9, 249, 22, 262, 28, 268, 11, 251)(5, 245, 14, 254, 33, 273, 19, 259, 7, 247)(8, 248, 20, 260, 45, 285, 38, 278, 16, 256)(10, 250, 24, 264, 53, 293, 58, 298, 26, 266)(12, 252, 29, 269, 63, 303, 68, 308, 31, 271)(15, 255, 36, 276, 77, 317, 74, 314, 34, 274)(17, 257, 39, 279, 83, 323, 70, 310, 32, 272)(18, 258, 41, 281, 87, 327, 92, 332, 43, 283)(21, 261, 48, 288, 101, 341, 98, 338, 46, 286)(23, 263, 51, 291, 107, 347, 104, 344, 49, 289)(25, 265, 55, 295, 115, 355, 118, 358, 56, 296)(27, 267, 59, 299, 123, 363, 128, 368, 61, 301)(30, 270, 65, 305, 135, 375, 138, 378, 66, 306)(35, 275, 75, 315, 154, 394, 147, 387, 71, 311)(37, 277, 79, 319, 162, 402, 166, 406, 81, 321)(40, 280, 86, 326, 161, 401, 169, 409, 84, 324)(42, 282, 89, 329, 175, 415, 177, 417, 90, 330)(44, 284, 72, 312, 148, 388, 179, 419, 94, 334)(47, 287, 99, 339, 185, 425, 116, 356, 95, 335)(50, 290, 105, 345, 192, 432, 130, 370, 62, 302)(52, 292, 110, 350, 196, 436, 195, 435, 108, 348)(54, 294, 113, 353, 156, 396, 198, 438, 111, 351)(57, 297, 119, 359, 137, 377, 91, 331, 121, 361)(60, 300, 125, 365, 93, 333, 140, 380, 126, 366)(64, 304, 133, 373, 188, 428, 213, 453, 131, 371)(67, 307, 139, 379, 117, 357, 202, 442, 141, 381)(69, 309, 143, 383, 205, 445, 120, 360, 144, 384)(73, 313, 150, 390, 210, 450, 127, 367, 152, 392)(76, 316, 157, 397, 100, 340, 106, 346, 155, 395)(78, 318, 160, 400, 109, 349, 102, 342, 158, 398)(80, 320, 164, 404, 223, 463, 224, 464, 165, 405)(82, 322, 96, 336, 181, 421, 199, 439, 114, 354)(85, 325, 170, 410, 227, 467, 176, 416, 167, 407)(88, 328, 173, 413, 186, 426, 229, 469, 171, 411)(97, 337, 183, 423, 215, 455, 136, 376, 184, 424)(103, 343, 189, 429, 221, 461, 163, 403, 190, 430)(112, 352, 187, 427, 226, 466, 207, 447, 122, 362)(124, 364, 146, 386, 217, 457, 222, 462, 208, 448)(129, 369, 178, 418, 172, 412, 203, 443, 211, 451)(132, 372, 151, 391, 220, 460, 206, 446, 142, 382)(134, 374, 212, 452, 234, 474, 236, 476, 214, 454)(145, 385, 168, 408, 194, 434, 230, 470, 174, 414)(149, 389, 180, 420, 201, 441, 191, 431, 193, 433)(153, 393, 159, 399, 182, 422, 225, 465, 216, 456)(197, 437, 228, 468, 238, 478, 233, 473, 219, 459)(200, 440, 235, 475, 239, 479, 231, 471, 204, 444)(209, 449, 237, 477, 240, 480, 232, 472, 218, 458)(481, 721, 483, 723, 490, 730, 505, 745, 495, 735, 485, 725)(482, 722, 487, 727, 498, 738, 522, 762, 501, 741, 488, 728)(484, 724, 492, 732, 510, 750, 532, 772, 503, 743, 489, 729)(486, 726, 496, 736, 517, 757, 560, 800, 520, 760, 497, 737)(491, 731, 507, 747, 540, 780, 594, 834, 534, 774, 504, 744)(493, 733, 512, 752, 549, 789, 614, 854, 544, 784, 509, 749)(494, 734, 514, 754, 553, 793, 631, 871, 556, 796, 515, 755)(499, 739, 524, 764, 573, 813, 654, 894, 568, 808, 521, 761)(500, 740, 526, 766, 577, 817, 585, 825, 580, 820, 527, 767)(502, 742, 529, 769, 583, 823, 650, 890, 586, 826, 530, 770)(506, 746, 537, 777, 600, 840, 681, 921, 596, 836, 535, 775)(508, 748, 542, 782, 609, 849, 689, 929, 604, 844, 539, 779)(511, 751, 547, 787, 620, 860, 574, 814, 616, 856, 545, 785)(513, 753, 551, 791, 626, 866, 698, 938, 629, 869, 552, 792)(516, 756, 536, 776, 597, 837, 683, 923, 641, 881, 558, 798)(518, 758, 562, 802, 606, 846, 621, 861, 643, 883, 559, 799)(519, 759, 564, 804, 636, 876, 555, 795, 635, 875, 565, 805)(523, 763, 571, 811, 618, 858, 696, 936, 656, 896, 569, 809)(525, 765, 575, 815, 660, 900, 712, 952, 662, 902, 576, 816)(528, 768, 570, 810, 603, 843, 688, 928, 668, 908, 582, 822)(531, 771, 588, 828, 674, 914, 667, 907, 581, 821, 589, 829)(533, 773, 591, 831, 677, 917, 663, 903, 578, 818, 592, 832)(538, 778, 602, 842, 686, 926, 644, 884, 561, 801, 599, 839)(541, 781, 607, 847, 623, 863, 550, 790, 625, 865, 605, 845)(543, 783, 611, 851, 666, 906, 579, 819, 637, 877, 612, 852)(546, 786, 617, 857, 646, 886, 697, 937, 627, 867, 590, 830)(548, 788, 622, 862, 687, 927, 717, 957, 691, 931, 619, 859)(554, 794, 633, 873, 615, 855, 695, 935, 699, 939, 630, 870)(557, 797, 638, 878, 613, 853, 694, 934, 661, 901, 639, 879)(563, 803, 647, 887, 705, 945, 720, 960, 706, 946, 648, 888)(566, 806, 645, 885, 628, 868, 673, 913, 587, 827, 640, 880)(567, 807, 651, 891, 708, 948, 678, 918, 649, 889, 652, 892)(572, 812, 658, 898, 610, 850, 692, 932, 624, 864, 601, 841)(584, 824, 671, 911, 685, 925, 690, 930, 713, 953, 669, 909)(593, 833, 679, 919, 716, 956, 715, 955, 676, 916, 634, 874)(595, 835, 665, 905, 653, 893, 710, 950, 675, 915, 680, 920)(598, 838, 684, 924, 655, 895, 707, 947, 670, 910, 682, 922)(608, 848, 657, 897, 711, 951, 703, 943, 700, 940, 632, 872)(642, 882, 701, 941, 718, 958, 709, 949, 693, 933, 702, 942)(659, 899, 704, 944, 719, 959, 714, 954, 672, 912, 664, 904)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 496)(7, 498)(8, 482)(9, 484)(10, 505)(11, 507)(12, 510)(13, 512)(14, 514)(15, 485)(16, 517)(17, 486)(18, 522)(19, 524)(20, 526)(21, 488)(22, 529)(23, 489)(24, 491)(25, 495)(26, 537)(27, 540)(28, 542)(29, 493)(30, 532)(31, 547)(32, 549)(33, 551)(34, 553)(35, 494)(36, 536)(37, 560)(38, 562)(39, 564)(40, 497)(41, 499)(42, 501)(43, 571)(44, 573)(45, 575)(46, 577)(47, 500)(48, 570)(49, 583)(50, 502)(51, 588)(52, 503)(53, 591)(54, 504)(55, 506)(56, 597)(57, 600)(58, 602)(59, 508)(60, 594)(61, 607)(62, 609)(63, 611)(64, 509)(65, 511)(66, 617)(67, 620)(68, 622)(69, 614)(70, 625)(71, 626)(72, 513)(73, 631)(74, 633)(75, 635)(76, 515)(77, 638)(78, 516)(79, 518)(80, 520)(81, 599)(82, 606)(83, 647)(84, 636)(85, 519)(86, 645)(87, 651)(88, 521)(89, 523)(90, 603)(91, 618)(92, 658)(93, 654)(94, 616)(95, 660)(96, 525)(97, 585)(98, 592)(99, 637)(100, 527)(101, 589)(102, 528)(103, 650)(104, 671)(105, 580)(106, 530)(107, 640)(108, 674)(109, 531)(110, 546)(111, 677)(112, 533)(113, 679)(114, 534)(115, 665)(116, 535)(117, 683)(118, 684)(119, 538)(120, 681)(121, 572)(122, 686)(123, 688)(124, 539)(125, 541)(126, 621)(127, 623)(128, 657)(129, 689)(130, 692)(131, 666)(132, 543)(133, 694)(134, 544)(135, 695)(136, 545)(137, 646)(138, 696)(139, 548)(140, 574)(141, 643)(142, 687)(143, 550)(144, 601)(145, 605)(146, 698)(147, 590)(148, 673)(149, 552)(150, 554)(151, 556)(152, 608)(153, 615)(154, 593)(155, 565)(156, 555)(157, 612)(158, 613)(159, 557)(160, 566)(161, 558)(162, 701)(163, 559)(164, 561)(165, 628)(166, 697)(167, 705)(168, 563)(169, 652)(170, 586)(171, 708)(172, 567)(173, 710)(174, 568)(175, 707)(176, 569)(177, 711)(178, 610)(179, 704)(180, 712)(181, 639)(182, 576)(183, 578)(184, 659)(185, 653)(186, 579)(187, 581)(188, 582)(189, 584)(190, 682)(191, 685)(192, 664)(193, 587)(194, 667)(195, 680)(196, 634)(197, 663)(198, 649)(199, 716)(200, 595)(201, 596)(202, 598)(203, 641)(204, 655)(205, 690)(206, 644)(207, 717)(208, 668)(209, 604)(210, 713)(211, 619)(212, 624)(213, 702)(214, 661)(215, 699)(216, 656)(217, 627)(218, 629)(219, 630)(220, 632)(221, 718)(222, 642)(223, 700)(224, 719)(225, 720)(226, 648)(227, 670)(228, 678)(229, 693)(230, 675)(231, 703)(232, 662)(233, 669)(234, 672)(235, 676)(236, 715)(237, 691)(238, 709)(239, 714)(240, 706)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2242
Graph:: bipartite
	v = 88 e = 480 f = 360
	degree seq :: [ 10^48, 12^40 ]

E17.2242 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^5, (Y3^-1 * Y1^-1)^6, Y3^3 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2, Y3^-1 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^3 * Y2 * Y3^-1, Y3 * Y2 * Y3^-1 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^2 ]
Map:: polytopal
	R = (1, 241)(2, 242)(3, 243)(4, 244)(5, 245)(6, 246)(7, 247)(8, 248)(9, 249)(10, 250)(11, 251)(12, 252)(13, 253)(14, 254)(15, 255)(16, 256)(17, 257)(18, 258)(19, 259)(20, 260)(21, 261)(22, 262)(23, 263)(24, 264)(25, 265)(26, 266)(27, 267)(28, 268)(29, 269)(30, 270)(31, 271)(32, 272)(33, 273)(34, 274)(35, 275)(36, 276)(37, 277)(38, 278)(39, 279)(40, 280)(41, 281)(42, 282)(43, 283)(44, 284)(45, 285)(46, 286)(47, 287)(48, 288)(49, 289)(50, 290)(51, 291)(52, 292)(53, 293)(54, 294)(55, 295)(56, 296)(57, 297)(58, 298)(59, 299)(60, 300)(61, 301)(62, 302)(63, 303)(64, 304)(65, 305)(66, 306)(67, 307)(68, 308)(69, 309)(70, 310)(71, 311)(72, 312)(73, 313)(74, 314)(75, 315)(76, 316)(77, 317)(78, 318)(79, 319)(80, 320)(81, 321)(82, 322)(83, 323)(84, 324)(85, 325)(86, 326)(87, 327)(88, 328)(89, 329)(90, 330)(91, 331)(92, 332)(93, 333)(94, 334)(95, 335)(96, 336)(97, 337)(98, 338)(99, 339)(100, 340)(101, 341)(102, 342)(103, 343)(104, 344)(105, 345)(106, 346)(107, 347)(108, 348)(109, 349)(110, 350)(111, 351)(112, 352)(113, 353)(114, 354)(115, 355)(116, 356)(117, 357)(118, 358)(119, 359)(120, 360)(121, 361)(122, 362)(123, 363)(124, 364)(125, 365)(126, 366)(127, 367)(128, 368)(129, 369)(130, 370)(131, 371)(132, 372)(133, 373)(134, 374)(135, 375)(136, 376)(137, 377)(138, 378)(139, 379)(140, 380)(141, 381)(142, 382)(143, 383)(144, 384)(145, 385)(146, 386)(147, 387)(148, 388)(149, 389)(150, 390)(151, 391)(152, 392)(153, 393)(154, 394)(155, 395)(156, 396)(157, 397)(158, 398)(159, 399)(160, 400)(161, 401)(162, 402)(163, 403)(164, 404)(165, 405)(166, 406)(167, 407)(168, 408)(169, 409)(170, 410)(171, 411)(172, 412)(173, 413)(174, 414)(175, 415)(176, 416)(177, 417)(178, 418)(179, 419)(180, 420)(181, 421)(182, 422)(183, 423)(184, 424)(185, 425)(186, 426)(187, 427)(188, 428)(189, 429)(190, 430)(191, 431)(192, 432)(193, 433)(194, 434)(195, 435)(196, 436)(197, 437)(198, 438)(199, 439)(200, 440)(201, 441)(202, 442)(203, 443)(204, 444)(205, 445)(206, 446)(207, 447)(208, 448)(209, 449)(210, 450)(211, 451)(212, 452)(213, 453)(214, 454)(215, 455)(216, 456)(217, 457)(218, 458)(219, 459)(220, 460)(221, 461)(222, 462)(223, 463)(224, 464)(225, 465)(226, 466)(227, 467)(228, 468)(229, 469)(230, 470)(231, 471)(232, 472)(233, 473)(234, 474)(235, 475)(236, 476)(237, 477)(238, 478)(239, 479)(240, 480)(481, 721, 482, 722)(483, 723, 487, 727)(484, 724, 489, 729)(485, 725, 491, 731)(486, 726, 493, 733)(488, 728, 497, 737)(490, 730, 501, 741)(492, 732, 504, 744)(494, 734, 508, 748)(495, 735, 509, 749)(496, 736, 511, 751)(498, 738, 515, 755)(499, 739, 516, 756)(500, 740, 518, 758)(502, 742, 522, 762)(503, 743, 524, 764)(505, 745, 528, 768)(506, 746, 529, 769)(507, 747, 531, 771)(510, 750, 536, 776)(512, 752, 540, 780)(513, 753, 541, 781)(514, 754, 543, 783)(517, 757, 549, 789)(519, 759, 552, 792)(520, 760, 553, 793)(521, 761, 555, 795)(523, 763, 558, 798)(525, 765, 562, 802)(526, 766, 563, 803)(527, 767, 565, 805)(530, 770, 571, 811)(532, 772, 574, 814)(533, 773, 575, 815)(534, 774, 577, 817)(535, 775, 579, 819)(537, 777, 583, 823)(538, 778, 584, 824)(539, 779, 586, 826)(542, 782, 591, 831)(544, 784, 595, 835)(545, 785, 596, 836)(546, 786, 598, 838)(547, 787, 600, 840)(548, 788, 602, 842)(550, 790, 606, 846)(551, 791, 607, 847)(554, 794, 613, 853)(556, 796, 616, 856)(557, 797, 617, 857)(559, 799, 621, 861)(560, 800, 622, 862)(561, 801, 624, 864)(564, 804, 629, 869)(566, 806, 633, 873)(567, 807, 634, 874)(568, 808, 636, 876)(569, 809, 638, 878)(570, 810, 640, 880)(572, 812, 644, 884)(573, 813, 645, 885)(576, 816, 651, 891)(578, 818, 654, 894)(580, 820, 657, 897)(581, 821, 658, 898)(582, 822, 659, 899)(585, 825, 631, 871)(587, 827, 652, 892)(588, 828, 626, 866)(589, 829, 666, 906)(590, 830, 635, 875)(592, 832, 639, 879)(593, 833, 623, 863)(594, 834, 669, 909)(597, 837, 628, 868)(599, 839, 653, 893)(601, 841, 630, 870)(603, 843, 650, 890)(604, 844, 668, 908)(605, 845, 643, 883)(608, 848, 667, 907)(609, 849, 663, 903)(610, 850, 671, 911)(611, 851, 673, 913)(612, 852, 641, 881)(614, 854, 625, 865)(615, 855, 637, 877)(618, 858, 681, 921)(619, 859, 682, 922)(620, 860, 683, 923)(627, 867, 690, 930)(632, 872, 693, 933)(642, 882, 692, 932)(646, 886, 691, 931)(647, 887, 687, 927)(648, 888, 695, 935)(649, 889, 697, 937)(655, 895, 685, 925)(656, 896, 703, 943)(660, 900, 705, 945)(661, 901, 679, 919)(662, 902, 686, 926)(664, 904, 688, 928)(665, 905, 708, 948)(670, 910, 704, 944)(672, 912, 706, 946)(674, 914, 698, 938)(675, 915, 701, 941)(676, 916, 710, 950)(677, 917, 699, 939)(678, 918, 707, 947)(680, 920, 712, 952)(684, 924, 714, 954)(689, 929, 717, 957)(694, 934, 713, 953)(696, 936, 715, 955)(700, 940, 719, 959)(702, 942, 716, 956)(709, 949, 720, 960)(711, 951, 718, 958)
	L = (1, 483)(2, 485)(3, 488)(4, 481)(5, 492)(6, 482)(7, 495)(8, 498)(9, 499)(10, 484)(11, 502)(12, 505)(13, 506)(14, 486)(15, 510)(16, 487)(17, 513)(18, 490)(19, 517)(20, 489)(21, 520)(22, 523)(23, 491)(24, 526)(25, 494)(26, 530)(27, 493)(28, 533)(29, 531)(30, 537)(31, 538)(32, 496)(33, 542)(34, 497)(35, 545)(36, 547)(37, 550)(38, 551)(39, 500)(40, 554)(41, 501)(42, 518)(43, 559)(44, 560)(45, 503)(46, 564)(47, 504)(48, 567)(49, 569)(50, 572)(51, 573)(52, 507)(53, 576)(54, 508)(55, 509)(56, 581)(57, 512)(58, 585)(59, 511)(60, 588)(61, 586)(62, 592)(63, 593)(64, 514)(65, 597)(66, 515)(67, 601)(68, 516)(69, 604)(70, 519)(71, 608)(72, 609)(73, 611)(74, 614)(75, 615)(76, 521)(77, 522)(78, 619)(79, 525)(80, 623)(81, 524)(82, 626)(83, 624)(84, 630)(85, 631)(86, 527)(87, 635)(88, 528)(89, 639)(90, 529)(91, 642)(92, 532)(93, 646)(94, 647)(95, 649)(96, 652)(97, 653)(98, 534)(99, 655)(100, 535)(101, 620)(102, 536)(103, 629)(104, 661)(105, 663)(106, 664)(107, 539)(108, 665)(109, 540)(110, 541)(111, 668)(112, 544)(113, 650)(114, 543)(115, 670)(116, 669)(117, 672)(118, 627)(119, 546)(120, 555)(121, 659)(122, 662)(123, 548)(124, 634)(125, 549)(126, 656)(127, 660)(128, 618)(129, 648)(130, 552)(131, 632)(132, 553)(133, 658)(134, 556)(135, 657)(136, 644)(137, 679)(138, 557)(139, 582)(140, 558)(141, 591)(142, 685)(143, 687)(144, 688)(145, 561)(146, 689)(147, 562)(148, 563)(149, 692)(150, 566)(151, 612)(152, 565)(153, 694)(154, 693)(155, 696)(156, 589)(157, 568)(158, 577)(159, 683)(160, 686)(161, 570)(162, 596)(163, 571)(164, 680)(165, 684)(166, 580)(167, 610)(168, 574)(169, 594)(170, 575)(171, 682)(172, 578)(173, 681)(174, 606)(175, 690)(176, 579)(177, 704)(178, 703)(179, 603)(180, 583)(181, 706)(182, 584)(183, 587)(184, 707)(185, 697)(186, 616)(187, 590)(188, 701)(189, 700)(190, 709)(191, 595)(192, 599)(193, 598)(194, 600)(195, 602)(196, 605)(197, 607)(198, 613)(199, 666)(200, 617)(201, 713)(202, 712)(203, 641)(204, 621)(205, 715)(206, 622)(207, 625)(208, 716)(209, 673)(210, 654)(211, 628)(212, 677)(213, 676)(214, 718)(215, 633)(216, 637)(217, 636)(218, 638)(219, 640)(220, 643)(221, 645)(222, 651)(223, 719)(224, 674)(225, 671)(226, 675)(227, 667)(228, 714)(229, 717)(230, 720)(231, 678)(232, 710)(233, 698)(234, 695)(235, 699)(236, 691)(237, 705)(238, 708)(239, 711)(240, 702)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 10, 12 ), ( 10, 12, 10, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2241
Graph:: simple bipartite
	v = 360 e = 480 f = 88
	degree seq :: [ 2^240, 4^120 ]

E17.2243 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-1)^5, Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^-1, Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-3 * Y3 * Y1^-2 * Y3 * Y1^-1, Y3 * Y1^-3 * Y3 * Y1^2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 241, 2, 242, 5, 245, 11, 251, 10, 250, 4, 244)(3, 243, 7, 247, 15, 255, 29, 269, 18, 258, 8, 248)(6, 246, 13, 253, 25, 265, 48, 288, 28, 268, 14, 254)(9, 249, 19, 259, 36, 276, 67, 307, 39, 279, 20, 260)(12, 252, 23, 263, 44, 284, 81, 321, 47, 287, 24, 264)(16, 256, 31, 271, 58, 298, 105, 345, 61, 301, 32, 272)(17, 257, 33, 273, 62, 302, 111, 351, 64, 304, 34, 274)(21, 261, 40, 280, 73, 313, 131, 371, 76, 316, 41, 281)(22, 262, 42, 282, 77, 317, 137, 377, 80, 320, 43, 283)(26, 266, 50, 290, 91, 331, 161, 401, 93, 333, 51, 291)(27, 267, 52, 292, 94, 334, 166, 406, 96, 336, 53, 293)(30, 270, 56, 296, 101, 341, 177, 417, 104, 344, 57, 297)(35, 275, 65, 305, 116, 356, 170, 410, 119, 359, 66, 306)(37, 277, 69, 309, 123, 363, 159, 399, 126, 366, 70, 310)(38, 278, 71, 311, 127, 367, 182, 422, 107, 347, 59, 299)(45, 285, 83, 323, 147, 387, 209, 449, 149, 389, 84, 324)(46, 286, 85, 325, 150, 390, 117, 357, 152, 392, 86, 326)(49, 289, 89, 329, 157, 397, 106, 346, 160, 400, 90, 330)(54, 294, 97, 337, 171, 411, 213, 453, 174, 414, 98, 338)(55, 295, 99, 339, 148, 388, 211, 451, 176, 416, 100, 340)(60, 300, 108, 348, 151, 391, 212, 452, 184, 424, 109, 349)(63, 303, 113, 353, 144, 384, 206, 446, 189, 429, 114, 354)(68, 308, 121, 361, 175, 415, 223, 463, 194, 434, 122, 362)(72, 312, 129, 369, 191, 431, 115, 355, 190, 430, 130, 370)(74, 314, 133, 373, 179, 419, 103, 343, 167, 407, 134, 374)(75, 315, 135, 375, 165, 405, 215, 455, 195, 435, 124, 364)(78, 318, 139, 379, 201, 441, 186, 426, 112, 352, 140, 380)(79, 319, 141, 381, 110, 350, 172, 412, 204, 444, 142, 382)(82, 322, 145, 385, 207, 447, 162, 402, 208, 448, 146, 386)(87, 327, 153, 393, 214, 454, 234, 474, 216, 456, 154, 394)(88, 328, 155, 395, 202, 442, 197, 437, 128, 368, 156, 396)(92, 332, 163, 403, 203, 443, 193, 433, 120, 360, 164, 404)(95, 335, 168, 408, 199, 439, 196, 436, 125, 365, 169, 409)(102, 342, 178, 418, 210, 450, 232, 472, 200, 440, 138, 378)(118, 358, 143, 383, 205, 445, 235, 475, 227, 467, 187, 427)(132, 372, 158, 398, 217, 457, 233, 473, 231, 471, 198, 438)(136, 376, 185, 425, 226, 466, 181, 421, 220, 460, 173, 413)(180, 420, 224, 464, 240, 480, 222, 462, 236, 476, 225, 465)(183, 423, 219, 459, 237, 477, 228, 468, 188, 428, 221, 461)(192, 432, 218, 458, 239, 479, 230, 470, 238, 478, 229, 469)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 486)(3, 481)(4, 489)(5, 492)(6, 482)(7, 496)(8, 497)(9, 484)(10, 501)(11, 502)(12, 485)(13, 506)(14, 507)(15, 510)(16, 487)(17, 488)(18, 515)(19, 517)(20, 518)(21, 490)(22, 491)(23, 525)(24, 526)(25, 529)(26, 493)(27, 494)(28, 534)(29, 535)(30, 495)(31, 539)(32, 540)(33, 543)(34, 530)(35, 498)(36, 548)(37, 499)(38, 500)(39, 552)(40, 554)(41, 555)(42, 558)(43, 559)(44, 562)(45, 503)(46, 504)(47, 567)(48, 568)(49, 505)(50, 514)(51, 572)(52, 575)(53, 563)(54, 508)(55, 509)(56, 582)(57, 583)(58, 586)(59, 511)(60, 512)(61, 590)(62, 592)(63, 513)(64, 595)(65, 597)(66, 598)(67, 600)(68, 516)(69, 604)(70, 605)(71, 608)(72, 519)(73, 612)(74, 520)(75, 521)(76, 616)(77, 618)(78, 522)(79, 523)(80, 623)(81, 624)(82, 524)(83, 533)(84, 628)(85, 631)(86, 619)(87, 527)(88, 528)(89, 638)(90, 639)(91, 642)(92, 531)(93, 645)(94, 647)(95, 532)(96, 650)(97, 652)(98, 653)(99, 655)(100, 654)(101, 635)(102, 536)(103, 537)(104, 660)(105, 626)(106, 538)(107, 661)(108, 663)(109, 658)(110, 541)(111, 665)(112, 542)(113, 667)(114, 668)(115, 544)(116, 672)(117, 545)(118, 546)(119, 673)(120, 547)(121, 625)(122, 666)(123, 657)(124, 549)(125, 550)(126, 630)(127, 629)(128, 551)(129, 646)(130, 634)(131, 664)(132, 553)(133, 622)(134, 669)(135, 656)(136, 556)(137, 679)(138, 557)(139, 566)(140, 682)(141, 683)(142, 613)(143, 560)(144, 561)(145, 601)(146, 585)(147, 690)(148, 564)(149, 607)(150, 606)(151, 565)(152, 693)(153, 695)(154, 610)(155, 581)(156, 696)(157, 686)(158, 569)(159, 570)(160, 698)(161, 680)(162, 571)(163, 699)(164, 697)(165, 573)(166, 609)(167, 574)(168, 700)(169, 701)(170, 576)(171, 702)(172, 577)(173, 578)(174, 580)(175, 579)(176, 615)(177, 603)(178, 589)(179, 703)(180, 584)(181, 587)(182, 685)(183, 588)(184, 611)(185, 591)(186, 602)(187, 593)(188, 594)(189, 614)(190, 692)(191, 705)(192, 596)(193, 599)(194, 710)(195, 707)(196, 687)(197, 708)(198, 689)(199, 617)(200, 641)(201, 713)(202, 620)(203, 621)(204, 714)(205, 662)(206, 637)(207, 676)(208, 716)(209, 678)(210, 627)(211, 717)(212, 670)(213, 632)(214, 718)(215, 633)(216, 636)(217, 644)(218, 640)(219, 643)(220, 648)(221, 649)(222, 651)(223, 659)(224, 715)(225, 671)(226, 719)(227, 675)(228, 677)(229, 712)(230, 674)(231, 720)(232, 709)(233, 681)(234, 684)(235, 704)(236, 688)(237, 691)(238, 694)(239, 706)(240, 711)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 10 ), ( 4, 10, 4, 10, 4, 10, 4, 10, 4, 10, 4, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2240
Graph:: simple bipartite
	v = 280 e = 480 f = 168
	degree seq :: [ 2^240, 12^40 ]

E17.2244 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (R * Y2^-2 * Y1)^2, (Y3 * Y2^-1)^5, Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^3 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2, Y2^-1 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 241, 2, 242)(3, 243, 7, 247)(4, 244, 9, 249)(5, 245, 11, 251)(6, 246, 13, 253)(8, 248, 17, 257)(10, 250, 21, 261)(12, 252, 24, 264)(14, 254, 28, 268)(15, 255, 29, 269)(16, 256, 31, 271)(18, 258, 35, 275)(19, 259, 36, 276)(20, 260, 38, 278)(22, 262, 42, 282)(23, 263, 44, 284)(25, 265, 48, 288)(26, 266, 49, 289)(27, 267, 51, 291)(30, 270, 56, 296)(32, 272, 60, 300)(33, 273, 61, 301)(34, 274, 63, 303)(37, 277, 69, 309)(39, 279, 72, 312)(40, 280, 73, 313)(41, 281, 75, 315)(43, 283, 78, 318)(45, 285, 82, 322)(46, 286, 83, 323)(47, 287, 85, 325)(50, 290, 91, 331)(52, 292, 94, 334)(53, 293, 95, 335)(54, 294, 97, 337)(55, 295, 99, 339)(57, 297, 103, 343)(58, 298, 104, 344)(59, 299, 106, 346)(62, 302, 111, 351)(64, 304, 115, 355)(65, 305, 116, 356)(66, 306, 118, 358)(67, 307, 120, 360)(68, 308, 122, 362)(70, 310, 126, 366)(71, 311, 127, 367)(74, 314, 133, 373)(76, 316, 136, 376)(77, 317, 137, 377)(79, 319, 141, 381)(80, 320, 142, 382)(81, 321, 144, 384)(84, 324, 149, 389)(86, 326, 153, 393)(87, 327, 154, 394)(88, 328, 156, 396)(89, 329, 158, 398)(90, 330, 160, 400)(92, 332, 164, 404)(93, 333, 165, 405)(96, 336, 171, 411)(98, 338, 174, 414)(100, 340, 177, 417)(101, 341, 178, 418)(102, 342, 179, 419)(105, 345, 151, 391)(107, 347, 172, 412)(108, 348, 146, 386)(109, 349, 186, 426)(110, 350, 155, 395)(112, 352, 159, 399)(113, 353, 143, 383)(114, 354, 189, 429)(117, 357, 148, 388)(119, 359, 173, 413)(121, 361, 150, 390)(123, 363, 170, 410)(124, 364, 188, 428)(125, 365, 163, 403)(128, 368, 187, 427)(129, 369, 183, 423)(130, 370, 191, 431)(131, 371, 193, 433)(132, 372, 161, 401)(134, 374, 145, 385)(135, 375, 157, 397)(138, 378, 201, 441)(139, 379, 202, 442)(140, 380, 203, 443)(147, 387, 210, 450)(152, 392, 213, 453)(162, 402, 212, 452)(166, 406, 211, 451)(167, 407, 207, 447)(168, 408, 215, 455)(169, 409, 217, 457)(175, 415, 205, 445)(176, 416, 223, 463)(180, 420, 225, 465)(181, 421, 199, 439)(182, 422, 206, 446)(184, 424, 208, 448)(185, 425, 228, 468)(190, 430, 224, 464)(192, 432, 226, 466)(194, 434, 218, 458)(195, 435, 221, 461)(196, 436, 230, 470)(197, 437, 219, 459)(198, 438, 227, 467)(200, 440, 232, 472)(204, 444, 234, 474)(209, 449, 237, 477)(214, 454, 233, 473)(216, 456, 235, 475)(220, 460, 239, 479)(222, 462, 236, 476)(229, 469, 240, 480)(231, 471, 238, 478)(481, 721, 483, 723, 488, 728, 498, 738, 490, 730, 484, 724)(482, 722, 485, 725, 492, 732, 505, 745, 494, 734, 486, 726)(487, 727, 495, 735, 510, 750, 537, 777, 512, 752, 496, 736)(489, 729, 499, 739, 517, 757, 550, 790, 519, 759, 500, 740)(491, 731, 502, 742, 523, 763, 559, 799, 525, 765, 503, 743)(493, 733, 506, 746, 530, 770, 572, 812, 532, 772, 507, 747)(497, 737, 513, 753, 542, 782, 592, 832, 544, 784, 514, 754)(501, 741, 520, 760, 554, 794, 614, 854, 556, 796, 521, 761)(504, 744, 526, 766, 564, 804, 630, 870, 566, 806, 527, 767)(508, 748, 533, 773, 576, 816, 652, 892, 578, 818, 534, 774)(509, 749, 531, 771, 573, 813, 646, 886, 580, 820, 535, 775)(511, 751, 538, 778, 585, 825, 663, 903, 587, 827, 539, 779)(515, 755, 545, 785, 597, 837, 672, 912, 599, 839, 546, 786)(516, 756, 547, 787, 601, 841, 659, 899, 603, 843, 548, 788)(518, 758, 551, 791, 608, 848, 618, 858, 557, 797, 522, 762)(524, 764, 560, 800, 623, 863, 687, 927, 625, 865, 561, 801)(528, 768, 567, 807, 635, 875, 696, 936, 637, 877, 568, 808)(529, 769, 569, 809, 639, 879, 683, 923, 641, 881, 570, 810)(536, 776, 581, 821, 620, 860, 558, 798, 619, 859, 582, 822)(540, 780, 588, 828, 665, 905, 697, 937, 636, 876, 589, 829)(541, 781, 586, 826, 664, 904, 707, 947, 667, 907, 590, 830)(543, 783, 593, 833, 650, 890, 575, 815, 649, 889, 594, 834)(549, 789, 604, 844, 634, 874, 693, 933, 676, 916, 605, 845)(552, 792, 609, 849, 648, 888, 574, 814, 647, 887, 610, 850)(553, 793, 611, 851, 632, 872, 565, 805, 631, 871, 612, 852)(555, 795, 615, 855, 657, 897, 704, 944, 674, 914, 600, 840)(562, 802, 626, 866, 689, 929, 673, 913, 598, 838, 627, 867)(563, 803, 624, 864, 688, 928, 716, 956, 691, 931, 628, 868)(571, 811, 642, 882, 596, 836, 669, 909, 700, 940, 643, 883)(577, 817, 653, 893, 681, 921, 713, 953, 698, 938, 638, 878)(579, 819, 655, 895, 690, 930, 654, 894, 606, 846, 656, 896)(583, 823, 629, 869, 692, 932, 677, 917, 607, 847, 660, 900)(584, 824, 661, 901, 706, 946, 675, 915, 602, 842, 662, 902)(591, 831, 668, 908, 701, 941, 645, 885, 684, 924, 621, 861)(595, 835, 670, 910, 709, 949, 717, 957, 705, 945, 671, 911)(613, 853, 658, 898, 703, 943, 719, 959, 711, 951, 678, 918)(616, 856, 644, 884, 680, 920, 617, 857, 679, 919, 666, 906)(622, 862, 685, 925, 715, 955, 699, 939, 640, 880, 686, 926)(633, 873, 694, 934, 718, 958, 708, 948, 714, 954, 695, 935)(651, 891, 682, 922, 712, 952, 710, 950, 720, 960, 702, 942)
	L = (1, 482)(2, 481)(3, 487)(4, 489)(5, 491)(6, 493)(7, 483)(8, 497)(9, 484)(10, 501)(11, 485)(12, 504)(13, 486)(14, 508)(15, 509)(16, 511)(17, 488)(18, 515)(19, 516)(20, 518)(21, 490)(22, 522)(23, 524)(24, 492)(25, 528)(26, 529)(27, 531)(28, 494)(29, 495)(30, 536)(31, 496)(32, 540)(33, 541)(34, 543)(35, 498)(36, 499)(37, 549)(38, 500)(39, 552)(40, 553)(41, 555)(42, 502)(43, 558)(44, 503)(45, 562)(46, 563)(47, 565)(48, 505)(49, 506)(50, 571)(51, 507)(52, 574)(53, 575)(54, 577)(55, 579)(56, 510)(57, 583)(58, 584)(59, 586)(60, 512)(61, 513)(62, 591)(63, 514)(64, 595)(65, 596)(66, 598)(67, 600)(68, 602)(69, 517)(70, 606)(71, 607)(72, 519)(73, 520)(74, 613)(75, 521)(76, 616)(77, 617)(78, 523)(79, 621)(80, 622)(81, 624)(82, 525)(83, 526)(84, 629)(85, 527)(86, 633)(87, 634)(88, 636)(89, 638)(90, 640)(91, 530)(92, 644)(93, 645)(94, 532)(95, 533)(96, 651)(97, 534)(98, 654)(99, 535)(100, 657)(101, 658)(102, 659)(103, 537)(104, 538)(105, 631)(106, 539)(107, 652)(108, 626)(109, 666)(110, 635)(111, 542)(112, 639)(113, 623)(114, 669)(115, 544)(116, 545)(117, 628)(118, 546)(119, 653)(120, 547)(121, 630)(122, 548)(123, 650)(124, 668)(125, 643)(126, 550)(127, 551)(128, 667)(129, 663)(130, 671)(131, 673)(132, 641)(133, 554)(134, 625)(135, 637)(136, 556)(137, 557)(138, 681)(139, 682)(140, 683)(141, 559)(142, 560)(143, 593)(144, 561)(145, 614)(146, 588)(147, 690)(148, 597)(149, 564)(150, 601)(151, 585)(152, 693)(153, 566)(154, 567)(155, 590)(156, 568)(157, 615)(158, 569)(159, 592)(160, 570)(161, 612)(162, 692)(163, 605)(164, 572)(165, 573)(166, 691)(167, 687)(168, 695)(169, 697)(170, 603)(171, 576)(172, 587)(173, 599)(174, 578)(175, 685)(176, 703)(177, 580)(178, 581)(179, 582)(180, 705)(181, 679)(182, 686)(183, 609)(184, 688)(185, 708)(186, 589)(187, 608)(188, 604)(189, 594)(190, 704)(191, 610)(192, 706)(193, 611)(194, 698)(195, 701)(196, 710)(197, 699)(198, 707)(199, 661)(200, 712)(201, 618)(202, 619)(203, 620)(204, 714)(205, 655)(206, 662)(207, 647)(208, 664)(209, 717)(210, 627)(211, 646)(212, 642)(213, 632)(214, 713)(215, 648)(216, 715)(217, 649)(218, 674)(219, 677)(220, 719)(221, 675)(222, 716)(223, 656)(224, 670)(225, 660)(226, 672)(227, 678)(228, 665)(229, 720)(230, 676)(231, 718)(232, 680)(233, 694)(234, 684)(235, 696)(236, 702)(237, 689)(238, 711)(239, 700)(240, 709)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 2, 10, 2, 10 ), ( 2, 10, 2, 10, 2, 10, 2, 10, 2, 10, 2, 10 ) }
Outer automorphisms :: reflexible
Dual of E17.2245
Graph:: bipartite
	v = 160 e = 480 f = 288
	degree seq :: [ 4^120, 12^40 ]

E17.2245 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 5, 6})
Quotient :: dipole
Aut^+ = SL(2,5) : C2 (small group id <240, 90>)
Aut   = $<480, 948>$ (small group id <480, 948>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1^-1 * Y3^-1)^2, (R * Y1)^2, (R * Y3)^2, Y1^5, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2, Y3^-1 * Y1^-2 * Y3^2 * Y1^-2 * Y3^-2 * Y1 * Y3^-1, Y3^-1 * Y1^-2 * Y3^2 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1, Y1^2 * Y3^-2 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3, (Y3 * Y2^-1)^6, Y1 * Y3^-1 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1^-2 * Y3^-1 ]
Map:: polytopal
	R = (1, 241, 2, 242, 6, 246, 13, 253, 4, 244)(3, 243, 9, 249, 22, 262, 28, 268, 11, 251)(5, 245, 14, 254, 33, 273, 19, 259, 7, 247)(8, 248, 20, 260, 45, 285, 38, 278, 16, 256)(10, 250, 24, 264, 53, 293, 58, 298, 26, 266)(12, 252, 29, 269, 63, 303, 68, 308, 31, 271)(15, 255, 36, 276, 77, 317, 74, 314, 34, 274)(17, 257, 39, 279, 83, 323, 70, 310, 32, 272)(18, 258, 41, 281, 87, 327, 92, 332, 43, 283)(21, 261, 48, 288, 101, 341, 98, 338, 46, 286)(23, 263, 51, 291, 107, 347, 104, 344, 49, 289)(25, 265, 55, 295, 115, 355, 118, 358, 56, 296)(27, 267, 59, 299, 123, 363, 128, 368, 61, 301)(30, 270, 65, 305, 135, 375, 138, 378, 66, 306)(35, 275, 75, 315, 154, 394, 147, 387, 71, 311)(37, 277, 79, 319, 162, 402, 166, 406, 81, 321)(40, 280, 86, 326, 161, 401, 169, 409, 84, 324)(42, 282, 89, 329, 175, 415, 177, 417, 90, 330)(44, 284, 72, 312, 148, 388, 179, 419, 94, 334)(47, 287, 99, 339, 185, 425, 116, 356, 95, 335)(50, 290, 105, 345, 192, 432, 130, 370, 62, 302)(52, 292, 110, 350, 196, 436, 195, 435, 108, 348)(54, 294, 113, 353, 156, 396, 198, 438, 111, 351)(57, 297, 119, 359, 137, 377, 91, 331, 121, 361)(60, 300, 125, 365, 93, 333, 140, 380, 126, 366)(64, 304, 133, 373, 188, 428, 213, 453, 131, 371)(67, 307, 139, 379, 117, 357, 202, 442, 141, 381)(69, 309, 143, 383, 205, 445, 120, 360, 144, 384)(73, 313, 150, 390, 210, 450, 127, 367, 152, 392)(76, 316, 157, 397, 100, 340, 106, 346, 155, 395)(78, 318, 160, 400, 109, 349, 102, 342, 158, 398)(80, 320, 164, 404, 223, 463, 224, 464, 165, 405)(82, 322, 96, 336, 181, 421, 199, 439, 114, 354)(85, 325, 170, 410, 227, 467, 176, 416, 167, 407)(88, 328, 173, 413, 186, 426, 229, 469, 171, 411)(97, 337, 183, 423, 215, 455, 136, 376, 184, 424)(103, 343, 189, 429, 221, 461, 163, 403, 190, 430)(112, 352, 187, 427, 226, 466, 207, 447, 122, 362)(124, 364, 146, 386, 217, 457, 222, 462, 208, 448)(129, 369, 178, 418, 172, 412, 203, 443, 211, 451)(132, 372, 151, 391, 220, 460, 206, 446, 142, 382)(134, 374, 212, 452, 234, 474, 236, 476, 214, 454)(145, 385, 168, 408, 194, 434, 230, 470, 174, 414)(149, 389, 180, 420, 201, 441, 191, 431, 193, 433)(153, 393, 159, 399, 182, 422, 225, 465, 216, 456)(197, 437, 228, 468, 238, 478, 233, 473, 219, 459)(200, 440, 235, 475, 239, 479, 231, 471, 204, 444)(209, 449, 237, 477, 240, 480, 232, 472, 218, 458)(481, 721)(482, 722)(483, 723)(484, 724)(485, 725)(486, 726)(487, 727)(488, 728)(489, 729)(490, 730)(491, 731)(492, 732)(493, 733)(494, 734)(495, 735)(496, 736)(497, 737)(498, 738)(499, 739)(500, 740)(501, 741)(502, 742)(503, 743)(504, 744)(505, 745)(506, 746)(507, 747)(508, 748)(509, 749)(510, 750)(511, 751)(512, 752)(513, 753)(514, 754)(515, 755)(516, 756)(517, 757)(518, 758)(519, 759)(520, 760)(521, 761)(522, 762)(523, 763)(524, 764)(525, 765)(526, 766)(527, 767)(528, 768)(529, 769)(530, 770)(531, 771)(532, 772)(533, 773)(534, 774)(535, 775)(536, 776)(537, 777)(538, 778)(539, 779)(540, 780)(541, 781)(542, 782)(543, 783)(544, 784)(545, 785)(546, 786)(547, 787)(548, 788)(549, 789)(550, 790)(551, 791)(552, 792)(553, 793)(554, 794)(555, 795)(556, 796)(557, 797)(558, 798)(559, 799)(560, 800)(561, 801)(562, 802)(563, 803)(564, 804)(565, 805)(566, 806)(567, 807)(568, 808)(569, 809)(570, 810)(571, 811)(572, 812)(573, 813)(574, 814)(575, 815)(576, 816)(577, 817)(578, 818)(579, 819)(580, 820)(581, 821)(582, 822)(583, 823)(584, 824)(585, 825)(586, 826)(587, 827)(588, 828)(589, 829)(590, 830)(591, 831)(592, 832)(593, 833)(594, 834)(595, 835)(596, 836)(597, 837)(598, 838)(599, 839)(600, 840)(601, 841)(602, 842)(603, 843)(604, 844)(605, 845)(606, 846)(607, 847)(608, 848)(609, 849)(610, 850)(611, 851)(612, 852)(613, 853)(614, 854)(615, 855)(616, 856)(617, 857)(618, 858)(619, 859)(620, 860)(621, 861)(622, 862)(623, 863)(624, 864)(625, 865)(626, 866)(627, 867)(628, 868)(629, 869)(630, 870)(631, 871)(632, 872)(633, 873)(634, 874)(635, 875)(636, 876)(637, 877)(638, 878)(639, 879)(640, 880)(641, 881)(642, 882)(643, 883)(644, 884)(645, 885)(646, 886)(647, 887)(648, 888)(649, 889)(650, 890)(651, 891)(652, 892)(653, 893)(654, 894)(655, 895)(656, 896)(657, 897)(658, 898)(659, 899)(660, 900)(661, 901)(662, 902)(663, 903)(664, 904)(665, 905)(666, 906)(667, 907)(668, 908)(669, 909)(670, 910)(671, 911)(672, 912)(673, 913)(674, 914)(675, 915)(676, 916)(677, 917)(678, 918)(679, 919)(680, 920)(681, 921)(682, 922)(683, 923)(684, 924)(685, 925)(686, 926)(687, 927)(688, 928)(689, 929)(690, 930)(691, 931)(692, 932)(693, 933)(694, 934)(695, 935)(696, 936)(697, 937)(698, 938)(699, 939)(700, 940)(701, 941)(702, 942)(703, 943)(704, 944)(705, 945)(706, 946)(707, 947)(708, 948)(709, 949)(710, 950)(711, 951)(712, 952)(713, 953)(714, 954)(715, 955)(716, 956)(717, 957)(718, 958)(719, 959)(720, 960)
	L = (1, 483)(2, 487)(3, 490)(4, 492)(5, 481)(6, 496)(7, 498)(8, 482)(9, 484)(10, 505)(11, 507)(12, 510)(13, 512)(14, 514)(15, 485)(16, 517)(17, 486)(18, 522)(19, 524)(20, 526)(21, 488)(22, 529)(23, 489)(24, 491)(25, 495)(26, 537)(27, 540)(28, 542)(29, 493)(30, 532)(31, 547)(32, 549)(33, 551)(34, 553)(35, 494)(36, 536)(37, 560)(38, 562)(39, 564)(40, 497)(41, 499)(42, 501)(43, 571)(44, 573)(45, 575)(46, 577)(47, 500)(48, 570)(49, 583)(50, 502)(51, 588)(52, 503)(53, 591)(54, 504)(55, 506)(56, 597)(57, 600)(58, 602)(59, 508)(60, 594)(61, 607)(62, 609)(63, 611)(64, 509)(65, 511)(66, 617)(67, 620)(68, 622)(69, 614)(70, 625)(71, 626)(72, 513)(73, 631)(74, 633)(75, 635)(76, 515)(77, 638)(78, 516)(79, 518)(80, 520)(81, 599)(82, 606)(83, 647)(84, 636)(85, 519)(86, 645)(87, 651)(88, 521)(89, 523)(90, 603)(91, 618)(92, 658)(93, 654)(94, 616)(95, 660)(96, 525)(97, 585)(98, 592)(99, 637)(100, 527)(101, 589)(102, 528)(103, 650)(104, 671)(105, 580)(106, 530)(107, 640)(108, 674)(109, 531)(110, 546)(111, 677)(112, 533)(113, 679)(114, 534)(115, 665)(116, 535)(117, 683)(118, 684)(119, 538)(120, 681)(121, 572)(122, 686)(123, 688)(124, 539)(125, 541)(126, 621)(127, 623)(128, 657)(129, 689)(130, 692)(131, 666)(132, 543)(133, 694)(134, 544)(135, 695)(136, 545)(137, 646)(138, 696)(139, 548)(140, 574)(141, 643)(142, 687)(143, 550)(144, 601)(145, 605)(146, 698)(147, 590)(148, 673)(149, 552)(150, 554)(151, 556)(152, 608)(153, 615)(154, 593)(155, 565)(156, 555)(157, 612)(158, 613)(159, 557)(160, 566)(161, 558)(162, 701)(163, 559)(164, 561)(165, 628)(166, 697)(167, 705)(168, 563)(169, 652)(170, 586)(171, 708)(172, 567)(173, 710)(174, 568)(175, 707)(176, 569)(177, 711)(178, 610)(179, 704)(180, 712)(181, 639)(182, 576)(183, 578)(184, 659)(185, 653)(186, 579)(187, 581)(188, 582)(189, 584)(190, 682)(191, 685)(192, 664)(193, 587)(194, 667)(195, 680)(196, 634)(197, 663)(198, 649)(199, 716)(200, 595)(201, 596)(202, 598)(203, 641)(204, 655)(205, 690)(206, 644)(207, 717)(208, 668)(209, 604)(210, 713)(211, 619)(212, 624)(213, 702)(214, 661)(215, 699)(216, 656)(217, 627)(218, 629)(219, 630)(220, 632)(221, 718)(222, 642)(223, 700)(224, 719)(225, 720)(226, 648)(227, 670)(228, 678)(229, 693)(230, 675)(231, 703)(232, 662)(233, 669)(234, 672)(235, 676)(236, 715)(237, 691)(238, 709)(239, 714)(240, 706)(241, 721)(242, 722)(243, 723)(244, 724)(245, 725)(246, 726)(247, 727)(248, 728)(249, 729)(250, 730)(251, 731)(252, 732)(253, 733)(254, 734)(255, 735)(256, 736)(257, 737)(258, 738)(259, 739)(260, 740)(261, 741)(262, 742)(263, 743)(264, 744)(265, 745)(266, 746)(267, 747)(268, 748)(269, 749)(270, 750)(271, 751)(272, 752)(273, 753)(274, 754)(275, 755)(276, 756)(277, 757)(278, 758)(279, 759)(280, 760)(281, 761)(282, 762)(283, 763)(284, 764)(285, 765)(286, 766)(287, 767)(288, 768)(289, 769)(290, 770)(291, 771)(292, 772)(293, 773)(294, 774)(295, 775)(296, 776)(297, 777)(298, 778)(299, 779)(300, 780)(301, 781)(302, 782)(303, 783)(304, 784)(305, 785)(306, 786)(307, 787)(308, 788)(309, 789)(310, 790)(311, 791)(312, 792)(313, 793)(314, 794)(315, 795)(316, 796)(317, 797)(318, 798)(319, 799)(320, 800)(321, 801)(322, 802)(323, 803)(324, 804)(325, 805)(326, 806)(327, 807)(328, 808)(329, 809)(330, 810)(331, 811)(332, 812)(333, 813)(334, 814)(335, 815)(336, 816)(337, 817)(338, 818)(339, 819)(340, 820)(341, 821)(342, 822)(343, 823)(344, 824)(345, 825)(346, 826)(347, 827)(348, 828)(349, 829)(350, 830)(351, 831)(352, 832)(353, 833)(354, 834)(355, 835)(356, 836)(357, 837)(358, 838)(359, 839)(360, 840)(361, 841)(362, 842)(363, 843)(364, 844)(365, 845)(366, 846)(367, 847)(368, 848)(369, 849)(370, 850)(371, 851)(372, 852)(373, 853)(374, 854)(375, 855)(376, 856)(377, 857)(378, 858)(379, 859)(380, 860)(381, 861)(382, 862)(383, 863)(384, 864)(385, 865)(386, 866)(387, 867)(388, 868)(389, 869)(390, 870)(391, 871)(392, 872)(393, 873)(394, 874)(395, 875)(396, 876)(397, 877)(398, 878)(399, 879)(400, 880)(401, 881)(402, 882)(403, 883)(404, 884)(405, 885)(406, 886)(407, 887)(408, 888)(409, 889)(410, 890)(411, 891)(412, 892)(413, 893)(414, 894)(415, 895)(416, 896)(417, 897)(418, 898)(419, 899)(420, 900)(421, 901)(422, 902)(423, 903)(424, 904)(425, 905)(426, 906)(427, 907)(428, 908)(429, 909)(430, 910)(431, 911)(432, 912)(433, 913)(434, 914)(435, 915)(436, 916)(437, 917)(438, 918)(439, 919)(440, 920)(441, 921)(442, 922)(443, 923)(444, 924)(445, 925)(446, 926)(447, 927)(448, 928)(449, 929)(450, 930)(451, 931)(452, 932)(453, 933)(454, 934)(455, 935)(456, 936)(457, 937)(458, 938)(459, 939)(460, 940)(461, 941)(462, 942)(463, 943)(464, 944)(465, 945)(466, 946)(467, 947)(468, 948)(469, 949)(470, 950)(471, 951)(472, 952)(473, 953)(474, 954)(475, 955)(476, 956)(477, 957)(478, 958)(479, 959)(480, 960)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2244
Graph:: simple bipartite
	v = 288 e = 480 f = 160
	degree seq :: [ 2^240, 10^48 ]

E17.2246 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2)^4, (T1^-1 * T2 * T1^-3)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2)^4, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 44, 37, 18, 8)(6, 13, 27, 51, 43, 56, 30, 14)(9, 19, 38, 46, 24, 45, 40, 20)(12, 25, 47, 42, 21, 41, 50, 26)(16, 33, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 192, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 184, 144, 145, 185, 181, 140)(110, 150, 190, 154, 121, 162, 187, 147)(112, 152, 193, 183, 142, 148, 188, 153)(125, 165, 205, 171, 128, 170, 208, 166)(133, 176, 191, 229, 209, 173, 203, 164)(138, 179, 194, 160, 202, 221, 215, 177)(155, 195, 231, 200, 158, 199, 234, 196)(167, 204, 233, 212, 175, 198, 235, 206)(169, 210, 240, 216, 178, 207, 238, 211)(180, 217, 243, 220, 182, 219, 244, 218)(186, 222, 245, 227, 189, 226, 248, 223)(197, 230, 247, 236, 201, 225, 249, 232)(213, 241, 246, 224, 214, 242, 250, 228)(237, 251, 255, 254, 239, 252, 256, 253)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 177)(137, 178)(139, 180)(141, 182)(143, 179)(146, 186)(149, 189)(150, 191)(153, 194)(156, 197)(157, 198)(159, 201)(161, 202)(162, 203)(163, 204)(165, 206)(166, 207)(168, 209)(170, 212)(171, 210)(172, 213)(174, 214)(181, 216)(183, 215)(184, 211)(185, 221)(187, 224)(188, 225)(190, 228)(192, 229)(193, 230)(195, 232)(196, 233)(199, 236)(200, 235)(205, 237)(208, 239)(217, 240)(218, 241)(219, 238)(220, 242)(222, 246)(223, 247)(226, 250)(227, 249)(231, 251)(234, 252)(243, 253)(244, 254)(245, 255)(248, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2247
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.2247 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T2 * T1 * T2 * T1^-2 * T2 * T1)^2, (T1^-1 * T2)^8, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1^-1)^4, T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 115, 72)(45, 74, 119, 75)(46, 76, 89, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 85, 99)(61, 100, 146, 101)(63, 103, 150, 104)(64, 105, 81, 106)(66, 108, 157, 109)(67, 110, 143, 97)(68, 111, 160, 112)(73, 118, 141, 95)(82, 127, 173, 128)(84, 129, 174, 130)(90, 135, 179, 136)(92, 138, 183, 139)(96, 142, 178, 134)(102, 149, 176, 132)(107, 155, 195, 156)(113, 144, 123, 154)(114, 162, 203, 163)(116, 165, 180, 152)(117, 166, 120, 145)(121, 169, 185, 147)(122, 148, 192, 151)(125, 137, 182, 171)(126, 133, 177, 172)(140, 186, 219, 187)(153, 181, 216, 184)(158, 194, 221, 199)(159, 200, 228, 201)(161, 193, 214, 198)(164, 189, 223, 196)(167, 190, 217, 205)(168, 197, 226, 206)(170, 207, 232, 208)(175, 210, 234, 211)(188, 218, 236, 222)(191, 213, 238, 220)(202, 230, 235, 215)(204, 227, 245, 229)(209, 233, 237, 212)(224, 241, 250, 242)(225, 240, 247, 243)(231, 244, 251, 246)(239, 248, 253, 249)(252, 254, 256, 255)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 116)(72, 117)(74, 120)(75, 121)(76, 122)(77, 123)(78, 125)(79, 111)(80, 126)(83, 108)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 144)(99, 145)(100, 147)(101, 148)(103, 151)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(112, 161)(115, 164)(118, 167)(119, 168)(124, 170)(127, 169)(128, 162)(129, 163)(130, 165)(131, 175)(135, 180)(136, 181)(138, 184)(139, 185)(141, 188)(142, 189)(143, 190)(146, 191)(149, 193)(150, 194)(155, 196)(156, 197)(157, 198)(160, 202)(166, 204)(171, 206)(172, 205)(173, 201)(174, 209)(176, 212)(177, 213)(178, 214)(179, 215)(182, 217)(183, 218)(186, 220)(187, 221)(192, 224)(195, 225)(199, 227)(200, 229)(203, 231)(207, 228)(208, 233)(210, 235)(211, 236)(216, 239)(219, 240)(222, 241)(223, 242)(226, 244)(230, 246)(232, 243)(234, 247)(237, 248)(238, 249)(245, 252)(250, 254)(251, 255)(253, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2246
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.2248 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1 * T2^-2 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^8, (T2 * T1 * T2^-1 * T1)^4, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 111, 69)(44, 73, 118, 74)(46, 76, 123, 77)(49, 81, 128, 82)(54, 89, 135, 90)(57, 94, 142, 95)(59, 97, 147, 98)(62, 102, 152, 103)(65, 107, 85, 108)(67, 109, 155, 110)(70, 113, 159, 114)(72, 116, 78, 117)(75, 120, 165, 121)(80, 125, 171, 126)(83, 129, 174, 130)(86, 131, 106, 132)(88, 133, 175, 134)(91, 137, 179, 138)(93, 140, 99, 141)(96, 144, 185, 145)(101, 149, 191, 150)(104, 153, 194, 154)(112, 157, 198, 158)(115, 160, 199, 161)(119, 163, 202, 164)(122, 167, 205, 168)(124, 166, 204, 170)(127, 169, 206, 172)(136, 177, 213, 178)(139, 180, 214, 181)(143, 183, 217, 184)(146, 187, 220, 188)(148, 186, 219, 190)(151, 189, 221, 192)(156, 196, 227, 197)(162, 200, 229, 201)(173, 207, 232, 208)(176, 211, 236, 212)(182, 215, 238, 216)(193, 222, 241, 223)(195, 225, 243, 226)(203, 230, 246, 231)(209, 233, 244, 228)(210, 234, 247, 235)(218, 239, 250, 240)(224, 242, 248, 237)(245, 252, 255, 251)(249, 254, 256, 253)(257, 258)(259, 263)(260, 265)(261, 266)(262, 268)(264, 271)(267, 276)(269, 279)(270, 281)(272, 284)(273, 286)(274, 287)(275, 289)(277, 292)(278, 294)(280, 297)(282, 300)(283, 302)(285, 305)(288, 310)(290, 313)(291, 315)(293, 318)(295, 321)(296, 323)(298, 326)(299, 328)(301, 331)(303, 334)(304, 336)(306, 339)(307, 341)(308, 342)(309, 344)(311, 347)(312, 349)(314, 352)(316, 355)(317, 357)(319, 360)(320, 362)(322, 354)(324, 359)(325, 368)(327, 371)(329, 361)(330, 375)(332, 378)(333, 343)(335, 380)(337, 383)(338, 345)(340, 350)(346, 392)(348, 395)(351, 399)(353, 402)(356, 404)(358, 407)(363, 387)(364, 397)(365, 406)(366, 409)(367, 412)(369, 410)(370, 394)(372, 418)(373, 388)(374, 414)(376, 417)(377, 422)(379, 425)(381, 405)(382, 389)(384, 429)(385, 390)(386, 393)(391, 432)(396, 438)(398, 434)(400, 437)(401, 442)(403, 445)(408, 449)(411, 451)(413, 436)(415, 439)(416, 433)(419, 435)(420, 456)(421, 459)(423, 457)(424, 447)(426, 448)(427, 444)(428, 446)(430, 465)(431, 466)(440, 471)(441, 474)(443, 472)(450, 480)(452, 482)(453, 473)(454, 469)(455, 484)(458, 468)(460, 481)(461, 478)(462, 477)(463, 476)(464, 489)(467, 491)(470, 493)(475, 490)(479, 498)(483, 495)(485, 501)(486, 492)(487, 497)(488, 496)(494, 505)(499, 507)(500, 508)(502, 506)(503, 509)(504, 510)(511, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2252
Transitivity :: ET+
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.2249 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-2 * T1 * T2^-1)^2, T2^8, T2^-1 * T1 * T2 * T1^-1 * T2^-4 * T1^-2 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, (T2 * T1^-1)^8, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 75, 44, 20, 8)(4, 12, 27, 57, 89, 48, 22, 9)(6, 15, 33, 65, 109, 71, 36, 16)(11, 26, 54, 31, 63, 93, 50, 23)(13, 29, 60, 94, 51, 25, 53, 30)(18, 40, 77, 43, 82, 120, 73, 37)(19, 41, 79, 121, 74, 39, 76, 42)(21, 45, 83, 130, 101, 58, 86, 46)(28, 59, 88, 47, 87, 136, 100, 56)(34, 67, 111, 70, 116, 158, 107, 64)(35, 68, 113, 159, 108, 66, 110, 69)(49, 90, 138, 103, 61, 97, 141, 91)(55, 98, 143, 92, 142, 198, 147, 96)(62, 95, 145, 200, 144, 104, 153, 105)(72, 117, 167, 126, 80, 124, 170, 118)(78, 125, 172, 119, 171, 231, 176, 123)(81, 122, 174, 233, 173, 127, 179, 128)(84, 132, 185, 135, 99, 149, 182, 129)(85, 133, 187, 241, 183, 131, 184, 134)(102, 151, 206, 150, 190, 242, 191, 137)(106, 155, 211, 164, 114, 162, 214, 156)(112, 163, 216, 157, 215, 247, 220, 161)(115, 160, 218, 248, 217, 165, 223, 166)(139, 194, 213, 197, 146, 202, 222, 192)(140, 195, 219, 208, 152, 193, 212, 196)(148, 204, 224, 203, 243, 253, 244, 199)(154, 209, 246, 254, 245, 201, 221, 210)(168, 227, 188, 230, 175, 235, 181, 225)(169, 228, 186, 238, 178, 226, 205, 229)(177, 237, 189, 236, 249, 255, 250, 232)(180, 239, 252, 256, 251, 234, 207, 240)(257, 258, 262, 260)(259, 265, 277, 267)(261, 269, 274, 263)(264, 275, 290, 271)(266, 279, 305, 281)(268, 272, 291, 284)(270, 287, 317, 285)(273, 293, 328, 295)(276, 299, 336, 297)(278, 303, 340, 301)(280, 307, 338, 300)(282, 302, 341, 311)(283, 312, 355, 314)(286, 318, 334, 296)(288, 313, 357, 319)(289, 320, 362, 322)(292, 326, 370, 324)(294, 330, 372, 327)(298, 337, 368, 323)(304, 321, 364, 343)(306, 348, 395, 346)(308, 331, 365, 345)(309, 347, 396, 351)(310, 352, 402, 353)(315, 325, 371, 358)(316, 359, 408, 360)(329, 375, 424, 373)(332, 374, 425, 378)(333, 379, 431, 380)(335, 382, 434, 383)(339, 385, 437, 387)(342, 391, 444, 389)(344, 393, 442, 388)(349, 386, 439, 398)(350, 400, 427, 376)(354, 390, 445, 404)(356, 406, 461, 405)(361, 410, 433, 381)(363, 413, 468, 411)(366, 412, 469, 416)(367, 417, 475, 418)(369, 420, 478, 421)(377, 429, 471, 414)(384, 436, 477, 419)(392, 415, 473, 446)(394, 448, 467, 449)(397, 453, 470, 451)(399, 455, 474, 450)(401, 452, 472, 457)(403, 459, 479, 458)(407, 422, 480, 463)(409, 464, 476, 465)(423, 481, 438, 482)(426, 486, 441, 484)(428, 488, 443, 483)(430, 485, 462, 490)(432, 492, 440, 491)(435, 494, 447, 495)(454, 497, 506, 499)(456, 501, 505, 487)(460, 493, 466, 496)(489, 507, 502, 503)(498, 504, 500, 508)(509, 511, 510, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2253
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.2250 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2)^4, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 177)(137, 178)(139, 180)(141, 182)(143, 179)(146, 186)(149, 189)(150, 191)(153, 194)(156, 197)(157, 198)(159, 201)(161, 202)(162, 203)(163, 204)(165, 206)(166, 207)(168, 209)(170, 212)(171, 210)(172, 213)(174, 214)(181, 216)(183, 215)(184, 211)(185, 221)(187, 224)(188, 225)(190, 228)(192, 229)(193, 230)(195, 232)(196, 233)(199, 236)(200, 235)(205, 237)(208, 239)(217, 240)(218, 241)(219, 238)(220, 242)(222, 246)(223, 247)(226, 250)(227, 249)(231, 251)(234, 252)(243, 253)(244, 254)(245, 255)(248, 256)(257, 258, 261, 267, 279, 278, 266, 260)(259, 263, 271, 287, 300, 293, 274, 264)(262, 269, 283, 307, 299, 312, 286, 270)(265, 275, 294, 302, 280, 301, 296, 276)(268, 281, 303, 298, 277, 297, 306, 282)(272, 289, 316, 349, 323, 330, 318, 290)(273, 291, 319, 344, 313, 339, 309, 284)(285, 310, 340, 328, 335, 367, 332, 304)(288, 314, 345, 322, 292, 321, 348, 315)(295, 325, 359, 363, 329, 305, 333, 326)(308, 336, 371, 343, 311, 342, 374, 337)(317, 351, 388, 356, 385, 424, 382, 346)(320, 354, 393, 417, 376, 347, 383, 355)(324, 357, 395, 362, 327, 361, 397, 358)(331, 364, 402, 370, 334, 369, 405, 365)(338, 375, 415, 380, 353, 392, 412, 372)(341, 378, 419, 448, 407, 373, 413, 379)(350, 386, 428, 391, 352, 390, 430, 387)(360, 399, 440, 400, 401, 441, 437, 396)(366, 406, 446, 410, 377, 418, 443, 403)(368, 408, 449, 439, 398, 404, 444, 409)(381, 421, 461, 427, 384, 426, 464, 422)(389, 432, 447, 485, 465, 429, 459, 420)(394, 435, 450, 416, 458, 477, 471, 433)(411, 451, 487, 456, 414, 455, 490, 452)(423, 460, 489, 468, 431, 454, 491, 462)(425, 466, 496, 472, 434, 463, 494, 467)(436, 473, 499, 476, 438, 475, 500, 474)(442, 478, 501, 483, 445, 482, 504, 479)(453, 486, 503, 492, 457, 481, 505, 488)(469, 497, 502, 480, 470, 498, 506, 484)(493, 507, 511, 510, 495, 508, 512, 509)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2251
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.2251 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2 * T1 * T2^-2 * T1 * T2 * T1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1)^2, (T2^-1 * T1)^8, (T2 * T1 * T2^-1 * T1)^4, T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-2 * T1 * T2^-1 * T1 ]
Map::
	R = (1, 257, 3, 259, 8, 264, 4, 260)(2, 258, 5, 261, 11, 267, 6, 262)(7, 263, 13, 269, 24, 280, 14, 270)(9, 265, 16, 272, 29, 285, 17, 273)(10, 266, 18, 274, 32, 288, 19, 275)(12, 268, 21, 277, 37, 293, 22, 278)(15, 271, 26, 282, 45, 301, 27, 283)(20, 276, 34, 290, 58, 314, 35, 291)(23, 279, 39, 295, 66, 322, 40, 296)(25, 281, 42, 298, 71, 327, 43, 299)(28, 284, 47, 303, 79, 335, 48, 304)(30, 286, 50, 306, 84, 340, 51, 307)(31, 287, 52, 308, 87, 343, 53, 309)(33, 289, 55, 311, 92, 348, 56, 312)(36, 292, 60, 316, 100, 356, 61, 317)(38, 294, 63, 319, 105, 361, 64, 320)(41, 297, 68, 324, 111, 367, 69, 325)(44, 300, 73, 329, 118, 374, 74, 330)(46, 302, 76, 332, 123, 379, 77, 333)(49, 305, 81, 337, 128, 384, 82, 338)(54, 310, 89, 345, 135, 391, 90, 346)(57, 313, 94, 350, 142, 398, 95, 351)(59, 315, 97, 353, 147, 403, 98, 354)(62, 318, 102, 358, 152, 408, 103, 359)(65, 321, 107, 363, 85, 341, 108, 364)(67, 323, 109, 365, 155, 411, 110, 366)(70, 326, 113, 369, 159, 415, 114, 370)(72, 328, 116, 372, 78, 334, 117, 373)(75, 331, 120, 376, 165, 421, 121, 377)(80, 336, 125, 381, 171, 427, 126, 382)(83, 339, 129, 385, 174, 430, 130, 386)(86, 342, 131, 387, 106, 362, 132, 388)(88, 344, 133, 389, 175, 431, 134, 390)(91, 347, 137, 393, 179, 435, 138, 394)(93, 349, 140, 396, 99, 355, 141, 397)(96, 352, 144, 400, 185, 441, 145, 401)(101, 357, 149, 405, 191, 447, 150, 406)(104, 360, 153, 409, 194, 450, 154, 410)(112, 368, 157, 413, 198, 454, 158, 414)(115, 371, 160, 416, 199, 455, 161, 417)(119, 375, 163, 419, 202, 458, 164, 420)(122, 378, 167, 423, 205, 461, 168, 424)(124, 380, 166, 422, 204, 460, 170, 426)(127, 383, 169, 425, 206, 462, 172, 428)(136, 392, 177, 433, 213, 469, 178, 434)(139, 395, 180, 436, 214, 470, 181, 437)(143, 399, 183, 439, 217, 473, 184, 440)(146, 402, 187, 443, 220, 476, 188, 444)(148, 404, 186, 442, 219, 475, 190, 446)(151, 407, 189, 445, 221, 477, 192, 448)(156, 412, 196, 452, 227, 483, 197, 453)(162, 418, 200, 456, 229, 485, 201, 457)(173, 429, 207, 463, 232, 488, 208, 464)(176, 432, 211, 467, 236, 492, 212, 468)(182, 438, 215, 471, 238, 494, 216, 472)(193, 449, 222, 478, 241, 497, 223, 479)(195, 451, 225, 481, 243, 499, 226, 482)(203, 459, 230, 486, 246, 502, 231, 487)(209, 465, 233, 489, 244, 500, 228, 484)(210, 466, 234, 490, 247, 503, 235, 491)(218, 474, 239, 495, 250, 506, 240, 496)(224, 480, 242, 498, 248, 504, 237, 493)(245, 501, 252, 508, 255, 511, 251, 507)(249, 505, 254, 510, 256, 512, 253, 509)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 331)(46, 283)(47, 334)(48, 336)(49, 285)(50, 339)(51, 341)(52, 342)(53, 344)(54, 288)(55, 347)(56, 349)(57, 290)(58, 352)(59, 291)(60, 355)(61, 357)(62, 293)(63, 360)(64, 362)(65, 295)(66, 354)(67, 296)(68, 359)(69, 368)(70, 298)(71, 371)(72, 299)(73, 361)(74, 375)(75, 301)(76, 378)(77, 343)(78, 303)(79, 380)(80, 304)(81, 383)(82, 345)(83, 306)(84, 350)(85, 307)(86, 308)(87, 333)(88, 309)(89, 338)(90, 392)(91, 311)(92, 395)(93, 312)(94, 340)(95, 399)(96, 314)(97, 402)(98, 322)(99, 316)(100, 404)(101, 317)(102, 407)(103, 324)(104, 319)(105, 329)(106, 320)(107, 387)(108, 397)(109, 406)(110, 409)(111, 412)(112, 325)(113, 410)(114, 394)(115, 327)(116, 418)(117, 388)(118, 414)(119, 330)(120, 417)(121, 422)(122, 332)(123, 425)(124, 335)(125, 405)(126, 389)(127, 337)(128, 429)(129, 390)(130, 393)(131, 363)(132, 373)(133, 382)(134, 385)(135, 432)(136, 346)(137, 386)(138, 370)(139, 348)(140, 438)(141, 364)(142, 434)(143, 351)(144, 437)(145, 442)(146, 353)(147, 445)(148, 356)(149, 381)(150, 365)(151, 358)(152, 449)(153, 366)(154, 369)(155, 451)(156, 367)(157, 436)(158, 374)(159, 439)(160, 433)(161, 376)(162, 372)(163, 435)(164, 456)(165, 459)(166, 377)(167, 457)(168, 447)(169, 379)(170, 448)(171, 444)(172, 446)(173, 384)(174, 465)(175, 466)(176, 391)(177, 416)(178, 398)(179, 419)(180, 413)(181, 400)(182, 396)(183, 415)(184, 471)(185, 474)(186, 401)(187, 472)(188, 427)(189, 403)(190, 428)(191, 424)(192, 426)(193, 408)(194, 480)(195, 411)(196, 482)(197, 473)(198, 469)(199, 484)(200, 420)(201, 423)(202, 468)(203, 421)(204, 481)(205, 478)(206, 477)(207, 476)(208, 489)(209, 430)(210, 431)(211, 491)(212, 458)(213, 454)(214, 493)(215, 440)(216, 443)(217, 453)(218, 441)(219, 490)(220, 463)(221, 462)(222, 461)(223, 498)(224, 450)(225, 460)(226, 452)(227, 495)(228, 455)(229, 501)(230, 492)(231, 497)(232, 496)(233, 464)(234, 475)(235, 467)(236, 486)(237, 470)(238, 505)(239, 483)(240, 488)(241, 487)(242, 479)(243, 507)(244, 508)(245, 485)(246, 506)(247, 509)(248, 510)(249, 494)(250, 502)(251, 499)(252, 500)(253, 503)(254, 504)(255, 512)(256, 511)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2250
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.2252 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-2 * T1 * T2^-1)^2, T2^8, T2^-1 * T1 * T2 * T1^-1 * T2^-4 * T1^-2 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^-2 * T1^-1 * T2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1^-2 * T2 * T1^-1 * T2^2 * T1^-2, (T2 * T1^-1)^8, T1^-1 * T2^-1 * T1 * T2^2 * T1^2 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-1 ]
Map::
	R = (1, 257, 3, 259, 10, 266, 24, 280, 52, 308, 32, 288, 14, 270, 5, 261)(2, 258, 7, 263, 17, 273, 38, 294, 75, 331, 44, 300, 20, 276, 8, 264)(4, 260, 12, 268, 27, 283, 57, 313, 89, 345, 48, 304, 22, 278, 9, 265)(6, 262, 15, 271, 33, 289, 65, 321, 109, 365, 71, 327, 36, 292, 16, 272)(11, 267, 26, 282, 54, 310, 31, 287, 63, 319, 93, 349, 50, 306, 23, 279)(13, 269, 29, 285, 60, 316, 94, 350, 51, 307, 25, 281, 53, 309, 30, 286)(18, 274, 40, 296, 77, 333, 43, 299, 82, 338, 120, 376, 73, 329, 37, 293)(19, 275, 41, 297, 79, 335, 121, 377, 74, 330, 39, 295, 76, 332, 42, 298)(21, 277, 45, 301, 83, 339, 130, 386, 101, 357, 58, 314, 86, 342, 46, 302)(28, 284, 59, 315, 88, 344, 47, 303, 87, 343, 136, 392, 100, 356, 56, 312)(34, 290, 67, 323, 111, 367, 70, 326, 116, 372, 158, 414, 107, 363, 64, 320)(35, 291, 68, 324, 113, 369, 159, 415, 108, 364, 66, 322, 110, 366, 69, 325)(49, 305, 90, 346, 138, 394, 103, 359, 61, 317, 97, 353, 141, 397, 91, 347)(55, 311, 98, 354, 143, 399, 92, 348, 142, 398, 198, 454, 147, 403, 96, 352)(62, 318, 95, 351, 145, 401, 200, 456, 144, 400, 104, 360, 153, 409, 105, 361)(72, 328, 117, 373, 167, 423, 126, 382, 80, 336, 124, 380, 170, 426, 118, 374)(78, 334, 125, 381, 172, 428, 119, 375, 171, 427, 231, 487, 176, 432, 123, 379)(81, 337, 122, 378, 174, 430, 233, 489, 173, 429, 127, 383, 179, 435, 128, 384)(84, 340, 132, 388, 185, 441, 135, 391, 99, 355, 149, 405, 182, 438, 129, 385)(85, 341, 133, 389, 187, 443, 241, 497, 183, 439, 131, 387, 184, 440, 134, 390)(102, 358, 151, 407, 206, 462, 150, 406, 190, 446, 242, 498, 191, 447, 137, 393)(106, 362, 155, 411, 211, 467, 164, 420, 114, 370, 162, 418, 214, 470, 156, 412)(112, 368, 163, 419, 216, 472, 157, 413, 215, 471, 247, 503, 220, 476, 161, 417)(115, 371, 160, 416, 218, 474, 248, 504, 217, 473, 165, 421, 223, 479, 166, 422)(139, 395, 194, 450, 213, 469, 197, 453, 146, 402, 202, 458, 222, 478, 192, 448)(140, 396, 195, 451, 219, 475, 208, 464, 152, 408, 193, 449, 212, 468, 196, 452)(148, 404, 204, 460, 224, 480, 203, 459, 243, 499, 253, 509, 244, 500, 199, 455)(154, 410, 209, 465, 246, 502, 254, 510, 245, 501, 201, 457, 221, 477, 210, 466)(168, 424, 227, 483, 188, 444, 230, 486, 175, 431, 235, 491, 181, 437, 225, 481)(169, 425, 228, 484, 186, 442, 238, 494, 178, 434, 226, 482, 205, 461, 229, 485)(177, 433, 237, 493, 189, 445, 236, 492, 249, 505, 255, 511, 250, 506, 232, 488)(180, 436, 239, 495, 252, 508, 256, 512, 251, 507, 234, 490, 207, 463, 240, 496)
	L = (1, 258)(2, 262)(3, 265)(4, 257)(5, 269)(6, 260)(7, 261)(8, 275)(9, 277)(10, 279)(11, 259)(12, 272)(13, 274)(14, 287)(15, 264)(16, 291)(17, 293)(18, 263)(19, 290)(20, 299)(21, 267)(22, 303)(23, 305)(24, 307)(25, 266)(26, 302)(27, 312)(28, 268)(29, 270)(30, 318)(31, 317)(32, 313)(33, 320)(34, 271)(35, 284)(36, 326)(37, 328)(38, 330)(39, 273)(40, 286)(41, 276)(42, 337)(43, 336)(44, 280)(45, 278)(46, 341)(47, 340)(48, 321)(49, 281)(50, 348)(51, 338)(52, 331)(53, 347)(54, 352)(55, 282)(56, 355)(57, 357)(58, 283)(59, 325)(60, 359)(61, 285)(62, 334)(63, 288)(64, 362)(65, 364)(66, 289)(67, 298)(68, 292)(69, 371)(70, 370)(71, 294)(72, 295)(73, 375)(74, 372)(75, 365)(76, 374)(77, 379)(78, 296)(79, 382)(80, 297)(81, 368)(82, 300)(83, 385)(84, 301)(85, 311)(86, 391)(87, 304)(88, 393)(89, 308)(90, 306)(91, 396)(92, 395)(93, 386)(94, 400)(95, 309)(96, 402)(97, 310)(98, 390)(99, 314)(100, 406)(101, 319)(102, 315)(103, 408)(104, 316)(105, 410)(106, 322)(107, 413)(108, 343)(109, 345)(110, 412)(111, 417)(112, 323)(113, 420)(114, 324)(115, 358)(116, 327)(117, 329)(118, 425)(119, 424)(120, 350)(121, 429)(122, 332)(123, 431)(124, 333)(125, 361)(126, 434)(127, 335)(128, 436)(129, 437)(130, 439)(131, 339)(132, 344)(133, 342)(134, 445)(135, 444)(136, 415)(137, 442)(138, 448)(139, 346)(140, 351)(141, 453)(142, 349)(143, 455)(144, 427)(145, 452)(146, 353)(147, 459)(148, 354)(149, 356)(150, 461)(151, 422)(152, 360)(153, 464)(154, 433)(155, 363)(156, 469)(157, 468)(158, 377)(159, 473)(160, 366)(161, 475)(162, 367)(163, 384)(164, 478)(165, 369)(166, 480)(167, 481)(168, 373)(169, 378)(170, 486)(171, 376)(172, 488)(173, 471)(174, 485)(175, 380)(176, 492)(177, 381)(178, 383)(179, 494)(180, 477)(181, 387)(182, 482)(183, 398)(184, 491)(185, 484)(186, 388)(187, 483)(188, 389)(189, 404)(190, 392)(191, 495)(192, 467)(193, 394)(194, 399)(195, 397)(196, 472)(197, 470)(198, 497)(199, 474)(200, 501)(201, 401)(202, 403)(203, 479)(204, 493)(205, 405)(206, 490)(207, 407)(208, 476)(209, 409)(210, 496)(211, 449)(212, 411)(213, 416)(214, 451)(215, 414)(216, 457)(217, 446)(218, 450)(219, 418)(220, 465)(221, 419)(222, 421)(223, 458)(224, 463)(225, 438)(226, 423)(227, 428)(228, 426)(229, 462)(230, 441)(231, 456)(232, 443)(233, 507)(234, 430)(235, 432)(236, 440)(237, 466)(238, 447)(239, 435)(240, 460)(241, 506)(242, 504)(243, 454)(244, 508)(245, 505)(246, 503)(247, 489)(248, 500)(249, 487)(250, 499)(251, 502)(252, 498)(253, 511)(254, 512)(255, 510)(256, 509)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2248
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.2253 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, (T1^-2 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2 * T1 * T2)^4, T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 ]
Map:: polytopal non-degenerate
	R = (1, 257, 3, 259)(2, 258, 6, 262)(4, 260, 9, 265)(5, 261, 12, 268)(7, 263, 16, 272)(8, 264, 17, 273)(10, 266, 21, 277)(11, 267, 24, 280)(13, 269, 28, 284)(14, 270, 29, 285)(15, 271, 32, 288)(18, 274, 36, 292)(19, 275, 39, 295)(20, 276, 33, 289)(22, 278, 43, 299)(23, 279, 44, 300)(25, 281, 48, 304)(26, 282, 49, 305)(27, 283, 52, 308)(30, 286, 55, 311)(31, 287, 57, 313)(34, 290, 61, 317)(35, 291, 64, 320)(37, 293, 67, 323)(38, 294, 68, 324)(40, 296, 71, 327)(41, 297, 72, 328)(42, 298, 69, 325)(45, 301, 73, 329)(46, 302, 74, 330)(47, 303, 75, 331)(50, 306, 78, 334)(51, 307, 79, 335)(53, 309, 82, 338)(54, 310, 85, 341)(56, 312, 88, 344)(58, 314, 90, 346)(59, 315, 91, 347)(60, 316, 94, 350)(62, 318, 96, 352)(63, 319, 97, 353)(65, 321, 100, 356)(66, 322, 98, 354)(70, 326, 104, 360)(76, 332, 110, 366)(77, 333, 112, 368)(80, 336, 116, 372)(81, 337, 117, 373)(83, 339, 120, 376)(84, 340, 121, 377)(86, 342, 124, 380)(87, 343, 122, 378)(89, 345, 125, 381)(92, 348, 128, 384)(93, 349, 129, 385)(95, 351, 133, 389)(99, 355, 138, 394)(101, 357, 140, 396)(102, 358, 134, 390)(103, 359, 142, 398)(105, 361, 144, 400)(106, 362, 130, 386)(107, 363, 145, 401)(108, 364, 147, 403)(109, 365, 148, 404)(111, 367, 151, 407)(113, 369, 154, 410)(114, 370, 152, 408)(115, 371, 155, 411)(118, 374, 158, 414)(119, 375, 160, 416)(123, 379, 164, 420)(126, 382, 167, 423)(127, 383, 169, 425)(131, 387, 173, 429)(132, 388, 175, 431)(135, 391, 176, 432)(136, 392, 177, 433)(137, 393, 178, 434)(139, 395, 180, 436)(141, 397, 182, 438)(143, 399, 179, 435)(146, 402, 186, 442)(149, 405, 189, 445)(150, 406, 191, 447)(153, 409, 194, 450)(156, 412, 197, 453)(157, 413, 198, 454)(159, 415, 201, 457)(161, 417, 202, 458)(162, 418, 203, 459)(163, 419, 204, 460)(165, 421, 206, 462)(166, 422, 207, 463)(168, 424, 209, 465)(170, 426, 212, 468)(171, 427, 210, 466)(172, 428, 213, 469)(174, 430, 214, 470)(181, 437, 216, 472)(183, 439, 215, 471)(184, 440, 211, 467)(185, 441, 221, 477)(187, 443, 224, 480)(188, 444, 225, 481)(190, 446, 228, 484)(192, 448, 229, 485)(193, 449, 230, 486)(195, 451, 232, 488)(196, 452, 233, 489)(199, 455, 236, 492)(200, 456, 235, 491)(205, 461, 237, 493)(208, 464, 239, 495)(217, 473, 240, 496)(218, 474, 241, 497)(219, 475, 238, 494)(220, 476, 242, 498)(222, 478, 246, 502)(223, 479, 247, 503)(226, 482, 250, 506)(227, 483, 249, 505)(231, 487, 251, 507)(234, 490, 252, 508)(243, 499, 253, 509)(244, 500, 254, 510)(245, 501, 255, 511)(248, 504, 256, 512)
	L = (1, 258)(2, 261)(3, 263)(4, 257)(5, 267)(6, 269)(7, 271)(8, 259)(9, 275)(10, 260)(11, 279)(12, 281)(13, 283)(14, 262)(15, 287)(16, 289)(17, 291)(18, 264)(19, 294)(20, 265)(21, 297)(22, 266)(23, 278)(24, 301)(25, 303)(26, 268)(27, 307)(28, 273)(29, 310)(30, 270)(31, 300)(32, 314)(33, 316)(34, 272)(35, 319)(36, 321)(37, 274)(38, 302)(39, 325)(40, 276)(41, 306)(42, 277)(43, 312)(44, 293)(45, 296)(46, 280)(47, 298)(48, 285)(49, 333)(50, 282)(51, 299)(52, 336)(53, 284)(54, 340)(55, 342)(56, 286)(57, 339)(58, 345)(59, 288)(60, 349)(61, 351)(62, 290)(63, 344)(64, 354)(65, 348)(66, 292)(67, 330)(68, 357)(69, 359)(70, 295)(71, 361)(72, 335)(73, 305)(74, 318)(75, 364)(76, 304)(77, 326)(78, 369)(79, 367)(80, 371)(81, 308)(82, 375)(83, 309)(84, 328)(85, 378)(86, 374)(87, 311)(88, 313)(89, 322)(90, 317)(91, 383)(92, 315)(93, 323)(94, 386)(95, 388)(96, 390)(97, 392)(98, 393)(99, 320)(100, 385)(101, 395)(102, 324)(103, 363)(104, 399)(105, 397)(106, 327)(107, 329)(108, 402)(109, 331)(110, 406)(111, 332)(112, 408)(113, 405)(114, 334)(115, 343)(116, 338)(117, 413)(118, 337)(119, 415)(120, 347)(121, 418)(122, 419)(123, 341)(124, 353)(125, 421)(126, 346)(127, 355)(128, 426)(129, 424)(130, 428)(131, 350)(132, 356)(133, 432)(134, 430)(135, 352)(136, 412)(137, 417)(138, 435)(139, 362)(140, 360)(141, 358)(142, 404)(143, 440)(144, 401)(145, 441)(146, 370)(147, 366)(148, 444)(149, 365)(150, 446)(151, 373)(152, 449)(153, 368)(154, 377)(155, 451)(156, 372)(157, 379)(158, 455)(159, 380)(160, 458)(161, 376)(162, 443)(163, 448)(164, 389)(165, 461)(166, 381)(167, 460)(168, 382)(169, 466)(170, 464)(171, 384)(172, 391)(173, 459)(174, 387)(175, 454)(176, 447)(177, 394)(178, 463)(179, 450)(180, 473)(181, 396)(182, 475)(183, 398)(184, 400)(185, 437)(186, 478)(187, 403)(188, 409)(189, 482)(190, 410)(191, 485)(192, 407)(193, 439)(194, 416)(195, 487)(196, 411)(197, 486)(198, 491)(199, 490)(200, 414)(201, 481)(202, 477)(203, 420)(204, 489)(205, 427)(206, 423)(207, 494)(208, 422)(209, 429)(210, 496)(211, 425)(212, 431)(213, 497)(214, 498)(215, 433)(216, 434)(217, 499)(218, 436)(219, 500)(220, 438)(221, 471)(222, 501)(223, 442)(224, 470)(225, 505)(226, 504)(227, 445)(228, 469)(229, 465)(230, 503)(231, 456)(232, 453)(233, 468)(234, 452)(235, 462)(236, 457)(237, 507)(238, 467)(239, 508)(240, 472)(241, 502)(242, 506)(243, 476)(244, 474)(245, 483)(246, 480)(247, 492)(248, 479)(249, 488)(250, 484)(251, 511)(252, 512)(253, 493)(254, 495)(255, 510)(256, 509)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2249
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.2254 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^8, (Y2 * Y1 * Y2^-1 * Y1)^4, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 10, 266)(6, 262, 12, 268)(8, 264, 15, 271)(11, 267, 20, 276)(13, 269, 23, 279)(14, 270, 25, 281)(16, 272, 28, 284)(17, 273, 30, 286)(18, 274, 31, 287)(19, 275, 33, 289)(21, 277, 36, 292)(22, 278, 38, 294)(24, 280, 41, 297)(26, 282, 44, 300)(27, 283, 46, 302)(29, 285, 49, 305)(32, 288, 54, 310)(34, 290, 57, 313)(35, 291, 59, 315)(37, 293, 62, 318)(39, 295, 65, 321)(40, 296, 67, 323)(42, 298, 70, 326)(43, 299, 72, 328)(45, 301, 75, 331)(47, 303, 78, 334)(48, 304, 80, 336)(50, 306, 83, 339)(51, 307, 85, 341)(52, 308, 86, 342)(53, 309, 88, 344)(55, 311, 91, 347)(56, 312, 93, 349)(58, 314, 96, 352)(60, 316, 99, 355)(61, 317, 101, 357)(63, 319, 104, 360)(64, 320, 106, 362)(66, 322, 98, 354)(68, 324, 103, 359)(69, 325, 112, 368)(71, 327, 115, 371)(73, 329, 105, 361)(74, 330, 119, 375)(76, 332, 122, 378)(77, 333, 87, 343)(79, 335, 124, 380)(81, 337, 127, 383)(82, 338, 89, 345)(84, 340, 94, 350)(90, 346, 136, 392)(92, 348, 139, 395)(95, 351, 143, 399)(97, 353, 146, 402)(100, 356, 148, 404)(102, 358, 151, 407)(107, 363, 131, 387)(108, 364, 141, 397)(109, 365, 150, 406)(110, 366, 153, 409)(111, 367, 156, 412)(113, 369, 154, 410)(114, 370, 138, 394)(116, 372, 162, 418)(117, 373, 132, 388)(118, 374, 158, 414)(120, 376, 161, 417)(121, 377, 166, 422)(123, 379, 169, 425)(125, 381, 149, 405)(126, 382, 133, 389)(128, 384, 173, 429)(129, 385, 134, 390)(130, 386, 137, 393)(135, 391, 176, 432)(140, 396, 182, 438)(142, 398, 178, 434)(144, 400, 181, 437)(145, 401, 186, 442)(147, 403, 189, 445)(152, 408, 193, 449)(155, 411, 195, 451)(157, 413, 180, 436)(159, 415, 183, 439)(160, 416, 177, 433)(163, 419, 179, 435)(164, 420, 200, 456)(165, 421, 203, 459)(167, 423, 201, 457)(168, 424, 191, 447)(170, 426, 192, 448)(171, 427, 188, 444)(172, 428, 190, 446)(174, 430, 209, 465)(175, 431, 210, 466)(184, 440, 215, 471)(185, 441, 218, 474)(187, 443, 216, 472)(194, 450, 224, 480)(196, 452, 226, 482)(197, 453, 217, 473)(198, 454, 213, 469)(199, 455, 228, 484)(202, 458, 212, 468)(204, 460, 225, 481)(205, 461, 222, 478)(206, 462, 221, 477)(207, 463, 220, 476)(208, 464, 233, 489)(211, 467, 235, 491)(214, 470, 237, 493)(219, 475, 234, 490)(223, 479, 242, 498)(227, 483, 239, 495)(229, 485, 245, 501)(230, 486, 236, 492)(231, 487, 241, 497)(232, 488, 240, 496)(238, 494, 249, 505)(243, 499, 251, 507)(244, 500, 252, 508)(246, 502, 250, 506)(247, 503, 253, 509)(248, 504, 254, 510)(255, 511, 256, 512)(513, 769, 515, 771, 520, 776, 516, 772)(514, 770, 517, 773, 523, 779, 518, 774)(519, 775, 525, 781, 536, 792, 526, 782)(521, 777, 528, 784, 541, 797, 529, 785)(522, 778, 530, 786, 544, 800, 531, 787)(524, 780, 533, 789, 549, 805, 534, 790)(527, 783, 538, 794, 557, 813, 539, 795)(532, 788, 546, 802, 570, 826, 547, 803)(535, 791, 551, 807, 578, 834, 552, 808)(537, 793, 554, 810, 583, 839, 555, 811)(540, 796, 559, 815, 591, 847, 560, 816)(542, 798, 562, 818, 596, 852, 563, 819)(543, 799, 564, 820, 599, 855, 565, 821)(545, 801, 567, 823, 604, 860, 568, 824)(548, 804, 572, 828, 612, 868, 573, 829)(550, 806, 575, 831, 617, 873, 576, 832)(553, 809, 580, 836, 623, 879, 581, 837)(556, 812, 585, 841, 630, 886, 586, 842)(558, 814, 588, 844, 635, 891, 589, 845)(561, 817, 593, 849, 640, 896, 594, 850)(566, 822, 601, 857, 647, 903, 602, 858)(569, 825, 606, 862, 654, 910, 607, 863)(571, 827, 609, 865, 659, 915, 610, 866)(574, 830, 614, 870, 664, 920, 615, 871)(577, 833, 619, 875, 597, 853, 620, 876)(579, 835, 621, 877, 667, 923, 622, 878)(582, 838, 625, 881, 671, 927, 626, 882)(584, 840, 628, 884, 590, 846, 629, 885)(587, 843, 632, 888, 677, 933, 633, 889)(592, 848, 637, 893, 683, 939, 638, 894)(595, 851, 641, 897, 686, 942, 642, 898)(598, 854, 643, 899, 618, 874, 644, 900)(600, 856, 645, 901, 687, 943, 646, 902)(603, 859, 649, 905, 691, 947, 650, 906)(605, 861, 652, 908, 611, 867, 653, 909)(608, 864, 656, 912, 697, 953, 657, 913)(613, 869, 661, 917, 703, 959, 662, 918)(616, 872, 665, 921, 706, 962, 666, 922)(624, 880, 669, 925, 710, 966, 670, 926)(627, 883, 672, 928, 711, 967, 673, 929)(631, 887, 675, 931, 714, 970, 676, 932)(634, 890, 679, 935, 717, 973, 680, 936)(636, 892, 678, 934, 716, 972, 682, 938)(639, 895, 681, 937, 718, 974, 684, 940)(648, 904, 689, 945, 725, 981, 690, 946)(651, 907, 692, 948, 726, 982, 693, 949)(655, 911, 695, 951, 729, 985, 696, 952)(658, 914, 699, 955, 732, 988, 700, 956)(660, 916, 698, 954, 731, 987, 702, 958)(663, 919, 701, 957, 733, 989, 704, 960)(668, 924, 708, 964, 739, 995, 709, 965)(674, 930, 712, 968, 741, 997, 713, 969)(685, 941, 719, 975, 744, 1000, 720, 976)(688, 944, 723, 979, 748, 1004, 724, 980)(694, 950, 727, 983, 750, 1006, 728, 984)(705, 961, 734, 990, 753, 1009, 735, 991)(707, 963, 737, 993, 755, 1011, 738, 994)(715, 971, 742, 998, 758, 1014, 743, 999)(721, 977, 745, 1001, 756, 1012, 740, 996)(722, 978, 746, 1002, 759, 1015, 747, 1003)(730, 986, 751, 1007, 762, 1018, 752, 1008)(736, 992, 754, 1010, 760, 1016, 749, 1005)(757, 1013, 764, 1020, 767, 1023, 763, 1019)(761, 1017, 766, 1022, 768, 1024, 765, 1021)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 522)(6, 524)(7, 515)(8, 527)(9, 516)(10, 517)(11, 532)(12, 518)(13, 535)(14, 537)(15, 520)(16, 540)(17, 542)(18, 543)(19, 545)(20, 523)(21, 548)(22, 550)(23, 525)(24, 553)(25, 526)(26, 556)(27, 558)(28, 528)(29, 561)(30, 529)(31, 530)(32, 566)(33, 531)(34, 569)(35, 571)(36, 533)(37, 574)(38, 534)(39, 577)(40, 579)(41, 536)(42, 582)(43, 584)(44, 538)(45, 587)(46, 539)(47, 590)(48, 592)(49, 541)(50, 595)(51, 597)(52, 598)(53, 600)(54, 544)(55, 603)(56, 605)(57, 546)(58, 608)(59, 547)(60, 611)(61, 613)(62, 549)(63, 616)(64, 618)(65, 551)(66, 610)(67, 552)(68, 615)(69, 624)(70, 554)(71, 627)(72, 555)(73, 617)(74, 631)(75, 557)(76, 634)(77, 599)(78, 559)(79, 636)(80, 560)(81, 639)(82, 601)(83, 562)(84, 606)(85, 563)(86, 564)(87, 589)(88, 565)(89, 594)(90, 648)(91, 567)(92, 651)(93, 568)(94, 596)(95, 655)(96, 570)(97, 658)(98, 578)(99, 572)(100, 660)(101, 573)(102, 663)(103, 580)(104, 575)(105, 585)(106, 576)(107, 643)(108, 653)(109, 662)(110, 665)(111, 668)(112, 581)(113, 666)(114, 650)(115, 583)(116, 674)(117, 644)(118, 670)(119, 586)(120, 673)(121, 678)(122, 588)(123, 681)(124, 591)(125, 661)(126, 645)(127, 593)(128, 685)(129, 646)(130, 649)(131, 619)(132, 629)(133, 638)(134, 641)(135, 688)(136, 602)(137, 642)(138, 626)(139, 604)(140, 694)(141, 620)(142, 690)(143, 607)(144, 693)(145, 698)(146, 609)(147, 701)(148, 612)(149, 637)(150, 621)(151, 614)(152, 705)(153, 622)(154, 625)(155, 707)(156, 623)(157, 692)(158, 630)(159, 695)(160, 689)(161, 632)(162, 628)(163, 691)(164, 712)(165, 715)(166, 633)(167, 713)(168, 703)(169, 635)(170, 704)(171, 700)(172, 702)(173, 640)(174, 721)(175, 722)(176, 647)(177, 672)(178, 654)(179, 675)(180, 669)(181, 656)(182, 652)(183, 671)(184, 727)(185, 730)(186, 657)(187, 728)(188, 683)(189, 659)(190, 684)(191, 680)(192, 682)(193, 664)(194, 736)(195, 667)(196, 738)(197, 729)(198, 725)(199, 740)(200, 676)(201, 679)(202, 724)(203, 677)(204, 737)(205, 734)(206, 733)(207, 732)(208, 745)(209, 686)(210, 687)(211, 747)(212, 714)(213, 710)(214, 749)(215, 696)(216, 699)(217, 709)(218, 697)(219, 746)(220, 719)(221, 718)(222, 717)(223, 754)(224, 706)(225, 716)(226, 708)(227, 751)(228, 711)(229, 757)(230, 748)(231, 753)(232, 752)(233, 720)(234, 731)(235, 723)(236, 742)(237, 726)(238, 761)(239, 739)(240, 744)(241, 743)(242, 735)(243, 763)(244, 764)(245, 741)(246, 762)(247, 765)(248, 766)(249, 750)(250, 758)(251, 755)(252, 756)(253, 759)(254, 760)(255, 768)(256, 767)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2257
Graph:: bipartite
	v = 192 e = 512 f = 288
	degree seq :: [ 4^128, 8^64 ]

E17.2255 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y1^-1 * Y2^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-2 * Y1 * Y2^-1)^2, Y2^8, Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-4 * Y1^-2 * Y2^-2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^3 * Y1^-1 * Y2^-2 * Y1^-1 * Y2, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-2 * Y2 * Y1^-1 * Y2^2 * Y1^-2, (Y2 * Y1^-1)^8, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-2 * Y1^-1 ]
Map::
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 61, 317, 29, 285)(17, 273, 37, 293, 72, 328, 39, 295)(20, 276, 43, 299, 80, 336, 41, 297)(22, 278, 47, 303, 84, 340, 45, 301)(24, 280, 51, 307, 82, 338, 44, 300)(26, 282, 46, 302, 85, 341, 55, 311)(27, 283, 56, 312, 99, 355, 58, 314)(30, 286, 62, 318, 78, 334, 40, 296)(32, 288, 57, 313, 101, 357, 63, 319)(33, 289, 64, 320, 106, 362, 66, 322)(36, 292, 70, 326, 114, 370, 68, 324)(38, 294, 74, 330, 116, 372, 71, 327)(42, 298, 81, 337, 112, 368, 67, 323)(48, 304, 65, 321, 108, 364, 87, 343)(50, 306, 92, 348, 139, 395, 90, 346)(52, 308, 75, 331, 109, 365, 89, 345)(53, 309, 91, 347, 140, 396, 95, 351)(54, 310, 96, 352, 146, 402, 97, 353)(59, 315, 69, 325, 115, 371, 102, 358)(60, 316, 103, 359, 152, 408, 104, 360)(73, 329, 119, 375, 168, 424, 117, 373)(76, 332, 118, 374, 169, 425, 122, 378)(77, 333, 123, 379, 175, 431, 124, 380)(79, 335, 126, 382, 178, 434, 127, 383)(83, 339, 129, 385, 181, 437, 131, 387)(86, 342, 135, 391, 188, 444, 133, 389)(88, 344, 137, 393, 186, 442, 132, 388)(93, 349, 130, 386, 183, 439, 142, 398)(94, 350, 144, 400, 171, 427, 120, 376)(98, 354, 134, 390, 189, 445, 148, 404)(100, 356, 150, 406, 205, 461, 149, 405)(105, 361, 154, 410, 177, 433, 125, 381)(107, 363, 157, 413, 212, 468, 155, 411)(110, 366, 156, 412, 213, 469, 160, 416)(111, 367, 161, 417, 219, 475, 162, 418)(113, 369, 164, 420, 222, 478, 165, 421)(121, 377, 173, 429, 215, 471, 158, 414)(128, 384, 180, 436, 221, 477, 163, 419)(136, 392, 159, 415, 217, 473, 190, 446)(138, 394, 192, 448, 211, 467, 193, 449)(141, 397, 197, 453, 214, 470, 195, 451)(143, 399, 199, 455, 218, 474, 194, 450)(145, 401, 196, 452, 216, 472, 201, 457)(147, 403, 203, 459, 223, 479, 202, 458)(151, 407, 166, 422, 224, 480, 207, 463)(153, 409, 208, 464, 220, 476, 209, 465)(167, 423, 225, 481, 182, 438, 226, 482)(170, 426, 230, 486, 185, 441, 228, 484)(172, 428, 232, 488, 187, 443, 227, 483)(174, 430, 229, 485, 206, 462, 234, 490)(176, 432, 236, 492, 184, 440, 235, 491)(179, 435, 238, 494, 191, 447, 239, 495)(198, 454, 241, 497, 250, 506, 243, 499)(200, 456, 245, 501, 249, 505, 231, 487)(204, 460, 237, 493, 210, 466, 240, 496)(233, 489, 251, 507, 246, 502, 247, 503)(242, 498, 248, 504, 244, 500, 252, 508)(253, 509, 255, 511, 254, 510, 256, 512)(513, 769, 515, 771, 522, 778, 536, 792, 564, 820, 544, 800, 526, 782, 517, 773)(514, 770, 519, 775, 529, 785, 550, 806, 587, 843, 556, 812, 532, 788, 520, 776)(516, 772, 524, 780, 539, 795, 569, 825, 601, 857, 560, 816, 534, 790, 521, 777)(518, 774, 527, 783, 545, 801, 577, 833, 621, 877, 583, 839, 548, 804, 528, 784)(523, 779, 538, 794, 566, 822, 543, 799, 575, 831, 605, 861, 562, 818, 535, 791)(525, 781, 541, 797, 572, 828, 606, 862, 563, 819, 537, 793, 565, 821, 542, 798)(530, 786, 552, 808, 589, 845, 555, 811, 594, 850, 632, 888, 585, 841, 549, 805)(531, 787, 553, 809, 591, 847, 633, 889, 586, 842, 551, 807, 588, 844, 554, 810)(533, 789, 557, 813, 595, 851, 642, 898, 613, 869, 570, 826, 598, 854, 558, 814)(540, 796, 571, 827, 600, 856, 559, 815, 599, 855, 648, 904, 612, 868, 568, 824)(546, 802, 579, 835, 623, 879, 582, 838, 628, 884, 670, 926, 619, 875, 576, 832)(547, 803, 580, 836, 625, 881, 671, 927, 620, 876, 578, 834, 622, 878, 581, 837)(561, 817, 602, 858, 650, 906, 615, 871, 573, 829, 609, 865, 653, 909, 603, 859)(567, 823, 610, 866, 655, 911, 604, 860, 654, 910, 710, 966, 659, 915, 608, 864)(574, 830, 607, 863, 657, 913, 712, 968, 656, 912, 616, 872, 665, 921, 617, 873)(584, 840, 629, 885, 679, 935, 638, 894, 592, 848, 636, 892, 682, 938, 630, 886)(590, 846, 637, 893, 684, 940, 631, 887, 683, 939, 743, 999, 688, 944, 635, 891)(593, 849, 634, 890, 686, 942, 745, 1001, 685, 941, 639, 895, 691, 947, 640, 896)(596, 852, 644, 900, 697, 953, 647, 903, 611, 867, 661, 917, 694, 950, 641, 897)(597, 853, 645, 901, 699, 955, 753, 1009, 695, 951, 643, 899, 696, 952, 646, 902)(614, 870, 663, 919, 718, 974, 662, 918, 702, 958, 754, 1010, 703, 959, 649, 905)(618, 874, 667, 923, 723, 979, 676, 932, 626, 882, 674, 930, 726, 982, 668, 924)(624, 880, 675, 931, 728, 984, 669, 925, 727, 983, 759, 1015, 732, 988, 673, 929)(627, 883, 672, 928, 730, 986, 760, 1016, 729, 985, 677, 933, 735, 991, 678, 934)(651, 907, 706, 962, 725, 981, 709, 965, 658, 914, 714, 970, 734, 990, 704, 960)(652, 908, 707, 963, 731, 987, 720, 976, 664, 920, 705, 961, 724, 980, 708, 964)(660, 916, 716, 972, 736, 992, 715, 971, 755, 1011, 765, 1021, 756, 1012, 711, 967)(666, 922, 721, 977, 758, 1014, 766, 1022, 757, 1013, 713, 969, 733, 989, 722, 978)(680, 936, 739, 995, 700, 956, 742, 998, 687, 943, 747, 1003, 693, 949, 737, 993)(681, 937, 740, 996, 698, 954, 750, 1006, 690, 946, 738, 994, 717, 973, 741, 997)(689, 945, 749, 1005, 701, 957, 748, 1004, 761, 1017, 767, 1023, 762, 1018, 744, 1000)(692, 948, 751, 1007, 764, 1020, 768, 1024, 763, 1019, 746, 1002, 719, 975, 752, 1008)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 565)(26, 566)(27, 569)(28, 571)(29, 572)(30, 525)(31, 575)(32, 526)(33, 577)(34, 579)(35, 580)(36, 528)(37, 530)(38, 587)(39, 588)(40, 589)(41, 591)(42, 531)(43, 594)(44, 532)(45, 595)(46, 533)(47, 599)(48, 534)(49, 602)(50, 535)(51, 537)(52, 544)(53, 542)(54, 543)(55, 610)(56, 540)(57, 601)(58, 598)(59, 600)(60, 606)(61, 609)(62, 607)(63, 605)(64, 546)(65, 621)(66, 622)(67, 623)(68, 625)(69, 547)(70, 628)(71, 548)(72, 629)(73, 549)(74, 551)(75, 556)(76, 554)(77, 555)(78, 637)(79, 633)(80, 636)(81, 634)(82, 632)(83, 642)(84, 644)(85, 645)(86, 558)(87, 648)(88, 559)(89, 560)(90, 650)(91, 561)(92, 654)(93, 562)(94, 563)(95, 657)(96, 567)(97, 653)(98, 655)(99, 661)(100, 568)(101, 570)(102, 663)(103, 573)(104, 665)(105, 574)(106, 667)(107, 576)(108, 578)(109, 583)(110, 581)(111, 582)(112, 675)(113, 671)(114, 674)(115, 672)(116, 670)(117, 679)(118, 584)(119, 683)(120, 585)(121, 586)(122, 686)(123, 590)(124, 682)(125, 684)(126, 592)(127, 691)(128, 593)(129, 596)(130, 613)(131, 696)(132, 697)(133, 699)(134, 597)(135, 611)(136, 612)(137, 614)(138, 615)(139, 706)(140, 707)(141, 603)(142, 710)(143, 604)(144, 616)(145, 712)(146, 714)(147, 608)(148, 716)(149, 694)(150, 702)(151, 718)(152, 705)(153, 617)(154, 721)(155, 723)(156, 618)(157, 727)(158, 619)(159, 620)(160, 730)(161, 624)(162, 726)(163, 728)(164, 626)(165, 735)(166, 627)(167, 638)(168, 739)(169, 740)(170, 630)(171, 743)(172, 631)(173, 639)(174, 745)(175, 747)(176, 635)(177, 749)(178, 738)(179, 640)(180, 751)(181, 737)(182, 641)(183, 643)(184, 646)(185, 647)(186, 750)(187, 753)(188, 742)(189, 748)(190, 754)(191, 649)(192, 651)(193, 724)(194, 725)(195, 731)(196, 652)(197, 658)(198, 659)(199, 660)(200, 656)(201, 733)(202, 734)(203, 755)(204, 736)(205, 741)(206, 662)(207, 752)(208, 664)(209, 758)(210, 666)(211, 676)(212, 708)(213, 709)(214, 668)(215, 759)(216, 669)(217, 677)(218, 760)(219, 720)(220, 673)(221, 722)(222, 704)(223, 678)(224, 715)(225, 680)(226, 717)(227, 700)(228, 698)(229, 681)(230, 687)(231, 688)(232, 689)(233, 685)(234, 719)(235, 693)(236, 761)(237, 701)(238, 690)(239, 764)(240, 692)(241, 695)(242, 703)(243, 765)(244, 711)(245, 713)(246, 766)(247, 732)(248, 729)(249, 767)(250, 744)(251, 746)(252, 768)(253, 756)(254, 757)(255, 762)(256, 763)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2256
Graph:: bipartite
	v = 96 e = 512 f = 384
	degree seq :: [ 8^64, 16^32 ]

E17.2256 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-2 * Y2 * Y3^-2)^2, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^8, (Y3^-1 * Y2 * Y3 * Y2)^4 ]
Map:: polytopal
	R = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)(513, 769, 514, 770)(515, 771, 519, 775)(516, 772, 521, 777)(517, 773, 523, 779)(518, 774, 525, 781)(520, 776, 529, 785)(522, 778, 533, 789)(524, 780, 537, 793)(526, 782, 541, 797)(527, 783, 540, 796)(528, 784, 544, 800)(530, 786, 548, 804)(531, 787, 550, 806)(532, 788, 535, 791)(534, 790, 555, 811)(536, 792, 557, 813)(538, 794, 561, 817)(539, 795, 563, 819)(542, 798, 568, 824)(543, 799, 569, 825)(545, 801, 573, 829)(546, 802, 572, 828)(547, 803, 576, 832)(549, 805, 562, 818)(551, 807, 582, 838)(552, 808, 583, 839)(553, 809, 584, 840)(554, 810, 580, 836)(556, 812, 585, 841)(558, 814, 589, 845)(559, 815, 588, 844)(560, 816, 592, 848)(564, 820, 598, 854)(565, 821, 599, 855)(566, 822, 600, 856)(567, 823, 596, 852)(570, 826, 603, 859)(571, 827, 604, 860)(574, 830, 595, 851)(575, 831, 609, 865)(577, 833, 612, 868)(578, 834, 611, 867)(579, 835, 590, 846)(581, 837, 614, 870)(586, 842, 621, 877)(587, 843, 622, 878)(591, 847, 627, 883)(593, 849, 630, 886)(594, 850, 629, 885)(597, 853, 632, 888)(601, 857, 636, 892)(602, 858, 638, 894)(605, 861, 643, 899)(606, 862, 644, 900)(607, 863, 634, 890)(608, 864, 641, 897)(610, 866, 647, 903)(613, 869, 651, 907)(615, 871, 653, 909)(616, 872, 625, 881)(617, 873, 656, 912)(618, 874, 619, 875)(620, 876, 658, 914)(623, 879, 663, 919)(624, 880, 664, 920)(626, 882, 661, 917)(628, 884, 667, 923)(631, 887, 671, 927)(633, 889, 673, 929)(635, 891, 676, 932)(637, 893, 677, 933)(639, 895, 680, 936)(640, 896, 679, 935)(642, 898, 662, 918)(645, 901, 685, 941)(646, 902, 687, 943)(648, 904, 691, 947)(649, 905, 683, 939)(650, 906, 689, 945)(652, 908, 672, 928)(654, 910, 695, 951)(655, 911, 696, 952)(657, 913, 697, 953)(659, 915, 700, 956)(660, 916, 699, 955)(665, 921, 705, 961)(666, 922, 707, 963)(668, 924, 711, 967)(669, 925, 703, 959)(670, 926, 709, 965)(674, 930, 715, 971)(675, 931, 716, 972)(678, 934, 702, 958)(681, 937, 704, 960)(682, 938, 698, 954)(684, 940, 701, 957)(686, 942, 724, 980)(688, 944, 726, 982)(690, 946, 713, 969)(692, 948, 714, 970)(693, 949, 710, 966)(694, 950, 712, 968)(706, 962, 740, 996)(708, 964, 742, 998)(717, 973, 746, 1002)(718, 974, 739, 995)(719, 975, 735, 991)(720, 976, 748, 1004)(721, 977, 738, 994)(722, 978, 737, 993)(723, 979, 734, 990)(725, 981, 747, 1003)(727, 983, 745, 1001)(728, 984, 744, 1000)(729, 985, 743, 999)(730, 986, 733, 989)(731, 987, 741, 997)(732, 988, 736, 992)(749, 1005, 759, 1015)(750, 1006, 761, 1017)(751, 1007, 757, 1013)(752, 1008, 763, 1019)(753, 1009, 758, 1014)(754, 1010, 764, 1020)(755, 1011, 760, 1016)(756, 1012, 762, 1018)(765, 1021, 767, 1023)(766, 1022, 768, 1024)
	L = (1, 515)(2, 517)(3, 520)(4, 513)(5, 524)(6, 514)(7, 527)(8, 530)(9, 531)(10, 516)(11, 535)(12, 538)(13, 539)(14, 518)(15, 543)(16, 519)(17, 546)(18, 549)(19, 551)(20, 521)(21, 553)(22, 522)(23, 556)(24, 523)(25, 559)(26, 562)(27, 564)(28, 525)(29, 566)(30, 526)(31, 570)(32, 571)(33, 528)(34, 575)(35, 529)(36, 578)(37, 534)(38, 580)(39, 579)(40, 532)(41, 577)(42, 533)(43, 574)(44, 586)(45, 587)(46, 536)(47, 591)(48, 537)(49, 594)(50, 542)(51, 596)(52, 595)(53, 540)(54, 593)(55, 541)(56, 590)(57, 601)(58, 555)(59, 605)(60, 544)(61, 607)(62, 545)(63, 554)(64, 610)(65, 547)(66, 552)(67, 548)(68, 613)(69, 550)(70, 615)(71, 617)(72, 603)(73, 619)(74, 568)(75, 623)(76, 557)(77, 625)(78, 558)(79, 567)(80, 628)(81, 560)(82, 565)(83, 561)(84, 631)(85, 563)(86, 633)(87, 635)(88, 621)(89, 637)(90, 569)(91, 640)(92, 641)(93, 584)(94, 572)(95, 639)(96, 573)(97, 645)(98, 581)(99, 576)(100, 649)(101, 648)(102, 652)(103, 654)(104, 582)(105, 655)(106, 583)(107, 657)(108, 585)(109, 660)(110, 661)(111, 600)(112, 588)(113, 659)(114, 589)(115, 665)(116, 597)(117, 592)(118, 669)(119, 668)(120, 672)(121, 674)(122, 598)(123, 675)(124, 599)(125, 608)(126, 678)(127, 602)(128, 606)(129, 681)(130, 604)(131, 682)(132, 684)(133, 686)(134, 609)(135, 689)(136, 611)(137, 688)(138, 612)(139, 687)(140, 693)(141, 614)(142, 618)(143, 616)(144, 691)(145, 626)(146, 698)(147, 620)(148, 624)(149, 701)(150, 622)(151, 702)(152, 704)(153, 706)(154, 627)(155, 709)(156, 629)(157, 708)(158, 630)(159, 707)(160, 713)(161, 632)(162, 636)(163, 634)(164, 711)(165, 717)(166, 642)(167, 638)(168, 720)(169, 719)(170, 722)(171, 643)(172, 723)(173, 644)(174, 650)(175, 725)(176, 646)(177, 727)(178, 647)(179, 728)(180, 651)(181, 656)(182, 653)(183, 729)(184, 731)(185, 733)(186, 662)(187, 658)(188, 736)(189, 735)(190, 738)(191, 663)(192, 739)(193, 664)(194, 670)(195, 741)(196, 666)(197, 743)(198, 667)(199, 744)(200, 671)(201, 676)(202, 673)(203, 745)(204, 747)(205, 749)(206, 677)(207, 679)(208, 750)(209, 680)(210, 685)(211, 683)(212, 751)(213, 690)(214, 753)(215, 692)(216, 694)(217, 755)(218, 695)(219, 756)(220, 696)(221, 757)(222, 697)(223, 699)(224, 758)(225, 700)(226, 705)(227, 703)(228, 759)(229, 710)(230, 761)(231, 712)(232, 714)(233, 763)(234, 715)(235, 764)(236, 716)(237, 721)(238, 718)(239, 765)(240, 724)(241, 766)(242, 726)(243, 732)(244, 730)(245, 737)(246, 734)(247, 767)(248, 740)(249, 768)(250, 742)(251, 748)(252, 746)(253, 754)(254, 752)(255, 762)(256, 760)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2255
Graph:: simple bipartite
	v = 384 e = 512 f = 96
	degree seq :: [ 2^256, 4^128 ]

E17.2257 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^4, Y1^2 * Y3 * Y1^-4 * Y3^-1 * Y1^2, Y1^-1 * Y3 * Y1^-3 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^3, Y1^-4 * Y3 * Y1 * Y3 * Y1 * Y3^-1 * Y1^-3 * Y3 * Y1 * Y3^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 257, 2, 258, 5, 261, 11, 267, 23, 279, 22, 278, 10, 266, 4, 260)(3, 259, 7, 263, 15, 271, 31, 287, 44, 300, 37, 293, 18, 274, 8, 264)(6, 262, 13, 269, 27, 283, 51, 307, 43, 299, 56, 312, 30, 286, 14, 270)(9, 265, 19, 275, 38, 294, 46, 302, 24, 280, 45, 301, 40, 296, 20, 276)(12, 268, 25, 281, 47, 303, 42, 298, 21, 277, 41, 297, 50, 306, 26, 282)(16, 272, 33, 289, 60, 316, 93, 349, 67, 323, 74, 330, 62, 318, 34, 290)(17, 273, 35, 291, 63, 319, 88, 344, 57, 313, 83, 339, 53, 309, 28, 284)(29, 285, 54, 310, 84, 340, 72, 328, 79, 335, 111, 367, 76, 332, 48, 304)(32, 288, 58, 314, 89, 345, 66, 322, 36, 292, 65, 321, 92, 348, 59, 315)(39, 295, 69, 325, 103, 359, 107, 363, 73, 329, 49, 305, 77, 333, 70, 326)(52, 308, 80, 336, 115, 371, 87, 343, 55, 311, 86, 342, 118, 374, 81, 337)(61, 317, 95, 351, 132, 388, 100, 356, 129, 385, 168, 424, 126, 382, 90, 346)(64, 320, 98, 354, 137, 393, 161, 417, 120, 376, 91, 347, 127, 383, 99, 355)(68, 324, 101, 357, 139, 395, 106, 362, 71, 327, 105, 361, 141, 397, 102, 358)(75, 331, 108, 364, 146, 402, 114, 370, 78, 334, 113, 369, 149, 405, 109, 365)(82, 338, 119, 375, 159, 415, 124, 380, 97, 353, 136, 392, 156, 412, 116, 372)(85, 341, 122, 378, 163, 419, 192, 448, 151, 407, 117, 373, 157, 413, 123, 379)(94, 350, 130, 386, 172, 428, 135, 391, 96, 352, 134, 390, 174, 430, 131, 387)(104, 360, 143, 399, 184, 440, 144, 400, 145, 401, 185, 441, 181, 437, 140, 396)(110, 366, 150, 406, 190, 446, 154, 410, 121, 377, 162, 418, 187, 443, 147, 403)(112, 368, 152, 408, 193, 449, 183, 439, 142, 398, 148, 404, 188, 444, 153, 409)(125, 381, 165, 421, 205, 461, 171, 427, 128, 384, 170, 426, 208, 464, 166, 422)(133, 389, 176, 432, 191, 447, 229, 485, 209, 465, 173, 429, 203, 459, 164, 420)(138, 394, 179, 435, 194, 450, 160, 416, 202, 458, 221, 477, 215, 471, 177, 433)(155, 411, 195, 451, 231, 487, 200, 456, 158, 414, 199, 455, 234, 490, 196, 452)(167, 423, 204, 460, 233, 489, 212, 468, 175, 431, 198, 454, 235, 491, 206, 462)(169, 425, 210, 466, 240, 496, 216, 472, 178, 434, 207, 463, 238, 494, 211, 467)(180, 436, 217, 473, 243, 499, 220, 476, 182, 438, 219, 475, 244, 500, 218, 474)(186, 442, 222, 478, 245, 501, 227, 483, 189, 445, 226, 482, 248, 504, 223, 479)(197, 453, 230, 486, 247, 503, 236, 492, 201, 457, 225, 481, 249, 505, 232, 488)(213, 469, 241, 497, 246, 502, 224, 480, 214, 470, 242, 498, 250, 506, 228, 484)(237, 493, 251, 507, 255, 511, 254, 510, 239, 495, 252, 508, 256, 512, 253, 509)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 518)(3, 513)(4, 521)(5, 524)(6, 514)(7, 528)(8, 529)(9, 516)(10, 533)(11, 536)(12, 517)(13, 540)(14, 541)(15, 544)(16, 519)(17, 520)(18, 548)(19, 551)(20, 545)(21, 522)(22, 555)(23, 556)(24, 523)(25, 560)(26, 561)(27, 564)(28, 525)(29, 526)(30, 567)(31, 569)(32, 527)(33, 532)(34, 573)(35, 576)(36, 530)(37, 579)(38, 580)(39, 531)(40, 583)(41, 584)(42, 581)(43, 534)(44, 535)(45, 585)(46, 586)(47, 587)(48, 537)(49, 538)(50, 590)(51, 591)(52, 539)(53, 594)(54, 597)(55, 542)(56, 600)(57, 543)(58, 602)(59, 603)(60, 606)(61, 546)(62, 608)(63, 609)(64, 547)(65, 612)(66, 610)(67, 549)(68, 550)(69, 554)(70, 616)(71, 552)(72, 553)(73, 557)(74, 558)(75, 559)(76, 622)(77, 624)(78, 562)(79, 563)(80, 628)(81, 629)(82, 565)(83, 632)(84, 633)(85, 566)(86, 636)(87, 634)(88, 568)(89, 637)(90, 570)(91, 571)(92, 640)(93, 641)(94, 572)(95, 645)(96, 574)(97, 575)(98, 578)(99, 650)(100, 577)(101, 652)(102, 646)(103, 654)(104, 582)(105, 656)(106, 642)(107, 657)(108, 659)(109, 660)(110, 588)(111, 663)(112, 589)(113, 666)(114, 664)(115, 667)(116, 592)(117, 593)(118, 670)(119, 672)(120, 595)(121, 596)(122, 599)(123, 676)(124, 598)(125, 601)(126, 679)(127, 681)(128, 604)(129, 605)(130, 618)(131, 685)(132, 687)(133, 607)(134, 614)(135, 688)(136, 689)(137, 690)(138, 611)(139, 692)(140, 613)(141, 694)(142, 615)(143, 691)(144, 617)(145, 619)(146, 698)(147, 620)(148, 621)(149, 701)(150, 703)(151, 623)(152, 626)(153, 706)(154, 625)(155, 627)(156, 709)(157, 710)(158, 630)(159, 713)(160, 631)(161, 714)(162, 715)(163, 716)(164, 635)(165, 718)(166, 719)(167, 638)(168, 721)(169, 639)(170, 724)(171, 722)(172, 725)(173, 643)(174, 726)(175, 644)(176, 647)(177, 648)(178, 649)(179, 655)(180, 651)(181, 728)(182, 653)(183, 727)(184, 723)(185, 733)(186, 658)(187, 736)(188, 737)(189, 661)(190, 740)(191, 662)(192, 741)(193, 742)(194, 665)(195, 744)(196, 745)(197, 668)(198, 669)(199, 748)(200, 747)(201, 671)(202, 673)(203, 674)(204, 675)(205, 749)(206, 677)(207, 678)(208, 751)(209, 680)(210, 683)(211, 696)(212, 682)(213, 684)(214, 686)(215, 695)(216, 693)(217, 752)(218, 753)(219, 750)(220, 754)(221, 697)(222, 758)(223, 759)(224, 699)(225, 700)(226, 762)(227, 761)(228, 702)(229, 704)(230, 705)(231, 763)(232, 707)(233, 708)(234, 764)(235, 712)(236, 711)(237, 717)(238, 731)(239, 720)(240, 729)(241, 730)(242, 732)(243, 765)(244, 766)(245, 767)(246, 734)(247, 735)(248, 768)(249, 739)(250, 738)(251, 743)(252, 746)(253, 755)(254, 756)(255, 757)(256, 760)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2254
Graph:: simple bipartite
	v = 288 e = 512 f = 192
	degree seq :: [ 2^256, 16^32 ]

E17.2258 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^-3)^2, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2)^2, (Y2^-1 * Y1 * Y2 * Y1)^4 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 11, 267)(6, 262, 13, 269)(8, 264, 17, 273)(10, 266, 21, 277)(12, 268, 25, 281)(14, 270, 29, 285)(15, 271, 28, 284)(16, 272, 32, 288)(18, 274, 36, 292)(19, 275, 38, 294)(20, 276, 23, 279)(22, 278, 43, 299)(24, 280, 45, 301)(26, 282, 49, 305)(27, 283, 51, 307)(30, 286, 56, 312)(31, 287, 57, 313)(33, 289, 61, 317)(34, 290, 60, 316)(35, 291, 64, 320)(37, 293, 50, 306)(39, 295, 70, 326)(40, 296, 71, 327)(41, 297, 72, 328)(42, 298, 68, 324)(44, 300, 73, 329)(46, 302, 77, 333)(47, 303, 76, 332)(48, 304, 80, 336)(52, 308, 86, 342)(53, 309, 87, 343)(54, 310, 88, 344)(55, 311, 84, 340)(58, 314, 91, 347)(59, 315, 92, 348)(62, 318, 83, 339)(63, 319, 97, 353)(65, 321, 100, 356)(66, 322, 99, 355)(67, 323, 78, 334)(69, 325, 102, 358)(74, 330, 109, 365)(75, 331, 110, 366)(79, 335, 115, 371)(81, 337, 118, 374)(82, 338, 117, 373)(85, 341, 120, 376)(89, 345, 124, 380)(90, 346, 126, 382)(93, 349, 131, 387)(94, 350, 132, 388)(95, 351, 122, 378)(96, 352, 129, 385)(98, 354, 135, 391)(101, 357, 139, 395)(103, 359, 141, 397)(104, 360, 113, 369)(105, 361, 144, 400)(106, 362, 107, 363)(108, 364, 146, 402)(111, 367, 151, 407)(112, 368, 152, 408)(114, 370, 149, 405)(116, 372, 155, 411)(119, 375, 159, 415)(121, 377, 161, 417)(123, 379, 164, 420)(125, 381, 165, 421)(127, 383, 168, 424)(128, 384, 167, 423)(130, 386, 150, 406)(133, 389, 173, 429)(134, 390, 175, 431)(136, 392, 179, 435)(137, 393, 171, 427)(138, 394, 177, 433)(140, 396, 160, 416)(142, 398, 183, 439)(143, 399, 184, 440)(145, 401, 185, 441)(147, 403, 188, 444)(148, 404, 187, 443)(153, 409, 193, 449)(154, 410, 195, 451)(156, 412, 199, 455)(157, 413, 191, 447)(158, 414, 197, 453)(162, 418, 203, 459)(163, 419, 204, 460)(166, 422, 190, 446)(169, 425, 192, 448)(170, 426, 186, 442)(172, 428, 189, 445)(174, 430, 212, 468)(176, 432, 214, 470)(178, 434, 201, 457)(180, 436, 202, 458)(181, 437, 198, 454)(182, 438, 200, 456)(194, 450, 228, 484)(196, 452, 230, 486)(205, 461, 234, 490)(206, 462, 227, 483)(207, 463, 223, 479)(208, 464, 236, 492)(209, 465, 226, 482)(210, 466, 225, 481)(211, 467, 222, 478)(213, 469, 235, 491)(215, 471, 233, 489)(216, 472, 232, 488)(217, 473, 231, 487)(218, 474, 221, 477)(219, 475, 229, 485)(220, 476, 224, 480)(237, 493, 247, 503)(238, 494, 249, 505)(239, 495, 245, 501)(240, 496, 251, 507)(241, 497, 246, 502)(242, 498, 252, 508)(243, 499, 248, 504)(244, 500, 250, 506)(253, 509, 255, 511)(254, 510, 256, 512)(513, 769, 515, 771, 520, 776, 530, 786, 549, 805, 534, 790, 522, 778, 516, 772)(514, 770, 517, 773, 524, 780, 538, 794, 562, 818, 542, 798, 526, 782, 518, 774)(519, 775, 527, 783, 543, 799, 570, 826, 555, 811, 574, 830, 545, 801, 528, 784)(521, 777, 531, 787, 551, 807, 579, 835, 548, 804, 578, 834, 552, 808, 532, 788)(523, 779, 535, 791, 556, 812, 586, 842, 568, 824, 590, 846, 558, 814, 536, 792)(525, 781, 539, 795, 564, 820, 595, 851, 561, 817, 594, 850, 565, 821, 540, 796)(529, 785, 546, 802, 575, 831, 554, 810, 533, 789, 553, 809, 577, 833, 547, 803)(537, 793, 559, 815, 591, 847, 567, 823, 541, 797, 566, 822, 593, 849, 560, 816)(544, 800, 571, 827, 605, 861, 584, 840, 603, 859, 640, 896, 606, 862, 572, 828)(550, 806, 580, 836, 613, 869, 648, 904, 611, 867, 576, 832, 610, 866, 581, 837)(557, 813, 587, 843, 623, 879, 600, 856, 621, 877, 660, 916, 624, 880, 588, 844)(563, 819, 596, 852, 631, 887, 668, 924, 629, 885, 592, 848, 628, 884, 597, 853)(569, 825, 601, 857, 637, 893, 608, 864, 573, 829, 607, 863, 639, 895, 602, 858)(582, 838, 615, 871, 654, 910, 618, 874, 583, 839, 617, 873, 655, 911, 616, 872)(585, 841, 619, 875, 657, 913, 626, 882, 589, 845, 625, 881, 659, 915, 620, 876)(598, 854, 633, 889, 674, 930, 636, 892, 599, 855, 635, 891, 675, 931, 634, 890)(604, 860, 641, 897, 681, 937, 719, 975, 679, 935, 638, 894, 678, 934, 642, 898)(609, 865, 645, 901, 686, 942, 650, 906, 612, 868, 649, 905, 688, 944, 646, 902)(614, 870, 652, 908, 693, 949, 656, 912, 691, 947, 728, 984, 694, 950, 653, 909)(622, 878, 661, 917, 701, 957, 735, 991, 699, 955, 658, 914, 698, 954, 662, 918)(627, 883, 665, 921, 706, 962, 670, 926, 630, 886, 669, 925, 708, 964, 666, 922)(632, 888, 672, 928, 713, 969, 676, 932, 711, 967, 744, 1000, 714, 970, 673, 929)(643, 899, 682, 938, 722, 978, 685, 941, 644, 900, 684, 940, 723, 979, 683, 939)(647, 903, 689, 945, 727, 983, 692, 948, 651, 907, 687, 943, 725, 981, 690, 946)(663, 919, 702, 958, 738, 994, 705, 961, 664, 920, 704, 960, 739, 995, 703, 959)(667, 923, 709, 965, 743, 999, 712, 968, 671, 927, 707, 963, 741, 997, 710, 966)(677, 933, 717, 973, 749, 1005, 721, 977, 680, 936, 720, 976, 750, 1006, 718, 974)(695, 951, 729, 985, 755, 1011, 732, 988, 696, 952, 731, 987, 756, 1012, 730, 986)(697, 953, 733, 989, 757, 1013, 737, 993, 700, 956, 736, 992, 758, 1014, 734, 990)(715, 971, 745, 1001, 763, 1019, 748, 1004, 716, 972, 747, 1003, 764, 1020, 746, 1002)(724, 980, 751, 1007, 765, 1021, 754, 1010, 726, 982, 753, 1009, 766, 1022, 752, 1008)(740, 996, 759, 1015, 767, 1023, 762, 1018, 742, 998, 761, 1017, 768, 1024, 760, 1016)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 523)(6, 525)(7, 515)(8, 529)(9, 516)(10, 533)(11, 517)(12, 537)(13, 518)(14, 541)(15, 540)(16, 544)(17, 520)(18, 548)(19, 550)(20, 535)(21, 522)(22, 555)(23, 532)(24, 557)(25, 524)(26, 561)(27, 563)(28, 527)(29, 526)(30, 568)(31, 569)(32, 528)(33, 573)(34, 572)(35, 576)(36, 530)(37, 562)(38, 531)(39, 582)(40, 583)(41, 584)(42, 580)(43, 534)(44, 585)(45, 536)(46, 589)(47, 588)(48, 592)(49, 538)(50, 549)(51, 539)(52, 598)(53, 599)(54, 600)(55, 596)(56, 542)(57, 543)(58, 603)(59, 604)(60, 546)(61, 545)(62, 595)(63, 609)(64, 547)(65, 612)(66, 611)(67, 590)(68, 554)(69, 614)(70, 551)(71, 552)(72, 553)(73, 556)(74, 621)(75, 622)(76, 559)(77, 558)(78, 579)(79, 627)(80, 560)(81, 630)(82, 629)(83, 574)(84, 567)(85, 632)(86, 564)(87, 565)(88, 566)(89, 636)(90, 638)(91, 570)(92, 571)(93, 643)(94, 644)(95, 634)(96, 641)(97, 575)(98, 647)(99, 578)(100, 577)(101, 651)(102, 581)(103, 653)(104, 625)(105, 656)(106, 619)(107, 618)(108, 658)(109, 586)(110, 587)(111, 663)(112, 664)(113, 616)(114, 661)(115, 591)(116, 667)(117, 594)(118, 593)(119, 671)(120, 597)(121, 673)(122, 607)(123, 676)(124, 601)(125, 677)(126, 602)(127, 680)(128, 679)(129, 608)(130, 662)(131, 605)(132, 606)(133, 685)(134, 687)(135, 610)(136, 691)(137, 683)(138, 689)(139, 613)(140, 672)(141, 615)(142, 695)(143, 696)(144, 617)(145, 697)(146, 620)(147, 700)(148, 699)(149, 626)(150, 642)(151, 623)(152, 624)(153, 705)(154, 707)(155, 628)(156, 711)(157, 703)(158, 709)(159, 631)(160, 652)(161, 633)(162, 715)(163, 716)(164, 635)(165, 637)(166, 702)(167, 640)(168, 639)(169, 704)(170, 698)(171, 649)(172, 701)(173, 645)(174, 724)(175, 646)(176, 726)(177, 650)(178, 713)(179, 648)(180, 714)(181, 710)(182, 712)(183, 654)(184, 655)(185, 657)(186, 682)(187, 660)(188, 659)(189, 684)(190, 678)(191, 669)(192, 681)(193, 665)(194, 740)(195, 666)(196, 742)(197, 670)(198, 693)(199, 668)(200, 694)(201, 690)(202, 692)(203, 674)(204, 675)(205, 746)(206, 739)(207, 735)(208, 748)(209, 738)(210, 737)(211, 734)(212, 686)(213, 747)(214, 688)(215, 745)(216, 744)(217, 743)(218, 733)(219, 741)(220, 736)(221, 730)(222, 723)(223, 719)(224, 732)(225, 722)(226, 721)(227, 718)(228, 706)(229, 731)(230, 708)(231, 729)(232, 728)(233, 727)(234, 717)(235, 725)(236, 720)(237, 759)(238, 761)(239, 757)(240, 763)(241, 758)(242, 764)(243, 760)(244, 762)(245, 751)(246, 753)(247, 749)(248, 755)(249, 750)(250, 756)(251, 752)(252, 754)(253, 767)(254, 768)(255, 765)(256, 766)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2259
Graph:: bipartite
	v = 160 e = 512 f = 320
	degree seq :: [ 4^128, 16^32 ]

E17.2259 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 390>$ (small group id <256, 390>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1 * Y3^-1)^2, (Y3^2 * Y1^-1 * Y3)^2, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-4 * Y1^-2 * Y3^-2, Y3 * Y1^-1 * Y3^-5 * Y1^2 * Y3^-1 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1^-2 * Y3 * Y1^-1 * Y3^2 * Y1^-2, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^2 * Y3^2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^2, (Y3 * Y2^-1)^8, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 61, 317, 29, 285)(17, 273, 37, 293, 72, 328, 39, 295)(20, 276, 43, 299, 80, 336, 41, 297)(22, 278, 47, 303, 84, 340, 45, 301)(24, 280, 51, 307, 82, 338, 44, 300)(26, 282, 46, 302, 85, 341, 55, 311)(27, 283, 56, 312, 99, 355, 58, 314)(30, 286, 62, 318, 78, 334, 40, 296)(32, 288, 57, 313, 101, 357, 63, 319)(33, 289, 64, 320, 106, 362, 66, 322)(36, 292, 70, 326, 114, 370, 68, 324)(38, 294, 74, 330, 116, 372, 71, 327)(42, 298, 81, 337, 112, 368, 67, 323)(48, 304, 65, 321, 108, 364, 87, 343)(50, 306, 92, 348, 139, 395, 90, 346)(52, 308, 75, 331, 109, 365, 89, 345)(53, 309, 91, 347, 140, 396, 95, 351)(54, 310, 96, 352, 146, 402, 97, 353)(59, 315, 69, 325, 115, 371, 102, 358)(60, 316, 103, 359, 152, 408, 104, 360)(73, 329, 119, 375, 168, 424, 117, 373)(76, 332, 118, 374, 169, 425, 122, 378)(77, 333, 123, 379, 175, 431, 124, 380)(79, 335, 126, 382, 178, 434, 127, 383)(83, 339, 129, 385, 181, 437, 131, 387)(86, 342, 135, 391, 188, 444, 133, 389)(88, 344, 137, 393, 186, 442, 132, 388)(93, 349, 130, 386, 183, 439, 142, 398)(94, 350, 144, 400, 171, 427, 120, 376)(98, 354, 134, 390, 189, 445, 148, 404)(100, 356, 150, 406, 205, 461, 149, 405)(105, 361, 154, 410, 177, 433, 125, 381)(107, 363, 157, 413, 212, 468, 155, 411)(110, 366, 156, 412, 213, 469, 160, 416)(111, 367, 161, 417, 219, 475, 162, 418)(113, 369, 164, 420, 222, 478, 165, 421)(121, 377, 173, 429, 215, 471, 158, 414)(128, 384, 180, 436, 221, 477, 163, 419)(136, 392, 159, 415, 217, 473, 190, 446)(138, 394, 192, 448, 211, 467, 193, 449)(141, 397, 197, 453, 214, 470, 195, 451)(143, 399, 199, 455, 218, 474, 194, 450)(145, 401, 196, 452, 216, 472, 201, 457)(147, 403, 203, 459, 223, 479, 202, 458)(151, 407, 166, 422, 224, 480, 207, 463)(153, 409, 208, 464, 220, 476, 209, 465)(167, 423, 225, 481, 182, 438, 226, 482)(170, 426, 230, 486, 185, 441, 228, 484)(172, 428, 232, 488, 187, 443, 227, 483)(174, 430, 229, 485, 206, 462, 234, 490)(176, 432, 236, 492, 184, 440, 235, 491)(179, 435, 238, 494, 191, 447, 239, 495)(198, 454, 241, 497, 250, 506, 243, 499)(200, 456, 245, 501, 249, 505, 231, 487)(204, 460, 237, 493, 210, 466, 240, 496)(233, 489, 251, 507, 246, 502, 247, 503)(242, 498, 248, 504, 244, 500, 252, 508)(253, 509, 255, 511, 254, 510, 256, 512)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 565)(26, 566)(27, 569)(28, 571)(29, 572)(30, 525)(31, 575)(32, 526)(33, 577)(34, 579)(35, 580)(36, 528)(37, 530)(38, 587)(39, 588)(40, 589)(41, 591)(42, 531)(43, 594)(44, 532)(45, 595)(46, 533)(47, 599)(48, 534)(49, 602)(50, 535)(51, 537)(52, 544)(53, 542)(54, 543)(55, 610)(56, 540)(57, 601)(58, 598)(59, 600)(60, 606)(61, 609)(62, 607)(63, 605)(64, 546)(65, 621)(66, 622)(67, 623)(68, 625)(69, 547)(70, 628)(71, 548)(72, 629)(73, 549)(74, 551)(75, 556)(76, 554)(77, 555)(78, 637)(79, 633)(80, 636)(81, 634)(82, 632)(83, 642)(84, 644)(85, 645)(86, 558)(87, 648)(88, 559)(89, 560)(90, 650)(91, 561)(92, 654)(93, 562)(94, 563)(95, 657)(96, 567)(97, 653)(98, 655)(99, 661)(100, 568)(101, 570)(102, 663)(103, 573)(104, 665)(105, 574)(106, 667)(107, 576)(108, 578)(109, 583)(110, 581)(111, 582)(112, 675)(113, 671)(114, 674)(115, 672)(116, 670)(117, 679)(118, 584)(119, 683)(120, 585)(121, 586)(122, 686)(123, 590)(124, 682)(125, 684)(126, 592)(127, 691)(128, 593)(129, 596)(130, 613)(131, 696)(132, 697)(133, 699)(134, 597)(135, 611)(136, 612)(137, 614)(138, 615)(139, 706)(140, 707)(141, 603)(142, 710)(143, 604)(144, 616)(145, 712)(146, 714)(147, 608)(148, 716)(149, 694)(150, 702)(151, 718)(152, 705)(153, 617)(154, 721)(155, 723)(156, 618)(157, 727)(158, 619)(159, 620)(160, 730)(161, 624)(162, 726)(163, 728)(164, 626)(165, 735)(166, 627)(167, 638)(168, 739)(169, 740)(170, 630)(171, 743)(172, 631)(173, 639)(174, 745)(175, 747)(176, 635)(177, 749)(178, 738)(179, 640)(180, 751)(181, 737)(182, 641)(183, 643)(184, 646)(185, 647)(186, 750)(187, 753)(188, 742)(189, 748)(190, 754)(191, 649)(192, 651)(193, 724)(194, 725)(195, 731)(196, 652)(197, 658)(198, 659)(199, 660)(200, 656)(201, 733)(202, 734)(203, 755)(204, 736)(205, 741)(206, 662)(207, 752)(208, 664)(209, 758)(210, 666)(211, 676)(212, 708)(213, 709)(214, 668)(215, 759)(216, 669)(217, 677)(218, 760)(219, 720)(220, 673)(221, 722)(222, 704)(223, 678)(224, 715)(225, 680)(226, 717)(227, 700)(228, 698)(229, 681)(230, 687)(231, 688)(232, 689)(233, 685)(234, 719)(235, 693)(236, 761)(237, 701)(238, 690)(239, 764)(240, 692)(241, 695)(242, 703)(243, 765)(244, 711)(245, 713)(246, 766)(247, 732)(248, 729)(249, 767)(250, 744)(251, 746)(252, 768)(253, 756)(254, 757)(255, 762)(256, 763)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2258
Graph:: simple bipartite
	v = 320 e = 512 f = 160
	degree seq :: [ 2^256, 8^64 ]

E17.2260 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T1^8, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, T1^-2 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2, (T2 * T1 * T2 * T1^-3)^2, (T1^-1 * T2 * T1^-2)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 120, 74, 40, 20)(12, 25, 47, 86, 140, 91, 50, 26)(16, 33, 61, 108, 132, 84, 63, 34)(17, 35, 64, 112, 133, 97, 53, 28)(21, 41, 75, 126, 180, 128, 77, 42)(24, 45, 82, 135, 188, 139, 85, 46)(29, 54, 98, 76, 127, 144, 88, 48)(32, 59, 87, 142, 185, 163, 107, 60)(36, 66, 90, 146, 186, 172, 117, 67)(39, 71, 122, 137, 83, 49, 89, 72)(43, 78, 129, 182, 222, 183, 130, 79)(44, 80, 131, 184, 223, 187, 134, 81)(52, 94, 136, 190, 175, 121, 70, 95)(55, 100, 138, 192, 177, 124, 73, 101)(58, 104, 160, 210, 224, 208, 158, 102)(62, 110, 145, 116, 171, 213, 162, 105)(65, 114, 169, 212, 161, 106, 154, 115)(68, 118, 173, 219, 225, 189, 174, 119)(93, 149, 201, 181, 221, 234, 200, 147)(96, 152, 111, 157, 207, 236, 203, 150)(99, 155, 205, 235, 202, 151, 123, 156)(103, 148, 194, 226, 244, 237, 209, 159)(109, 165, 211, 238, 217, 168, 113, 166)(125, 178, 220, 230, 193, 141, 195, 179)(143, 197, 153, 199, 233, 248, 231, 196)(164, 215, 176, 218, 243, 252, 241, 214)(167, 204, 232, 246, 242, 216, 170, 206)(191, 228, 198, 229, 247, 253, 245, 227)(239, 249, 240, 250, 254, 256, 255, 251)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 105)(60, 106)(61, 109)(63, 111)(64, 113)(66, 116)(67, 114)(69, 118)(72, 123)(74, 125)(75, 107)(77, 117)(78, 112)(79, 127)(80, 132)(81, 133)(82, 136)(85, 138)(86, 141)(88, 143)(89, 145)(91, 147)(92, 148)(94, 150)(95, 151)(97, 153)(98, 154)(100, 157)(101, 155)(104, 161)(108, 164)(110, 167)(115, 170)(119, 171)(120, 159)(121, 168)(122, 176)(124, 165)(126, 178)(128, 181)(129, 175)(130, 177)(131, 185)(134, 186)(135, 189)(137, 191)(139, 193)(140, 194)(142, 196)(144, 198)(146, 199)(149, 202)(152, 204)(156, 206)(158, 207)(160, 211)(162, 195)(163, 214)(166, 216)(169, 201)(172, 218)(173, 217)(174, 203)(179, 205)(180, 209)(182, 221)(183, 210)(184, 224)(187, 225)(188, 226)(190, 227)(192, 229)(197, 232)(200, 233)(208, 231)(212, 239)(213, 240)(215, 242)(219, 243)(220, 241)(222, 237)(223, 244)(228, 246)(230, 247)(234, 245)(235, 249)(236, 250)(238, 251)(248, 254)(252, 255)(253, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2261
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.2261 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T1^-1 * T2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 112, 70)(43, 71, 92, 72)(45, 74, 90, 75)(46, 76, 121, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 144, 99)(61, 100, 84, 101)(63, 103, 82, 104)(64, 105, 152, 106)(66, 108, 157, 109)(67, 102, 149, 110)(68, 95, 141, 111)(73, 117, 164, 118)(81, 126, 172, 127)(85, 129, 174, 130)(89, 135, 179, 136)(93, 138, 183, 139)(96, 137, 182, 142)(97, 132, 176, 143)(107, 155, 195, 156)(113, 162, 180, 154)(114, 150, 122, 163)(115, 147, 120, 151)(116, 153, 192, 146)(119, 166, 206, 167)(123, 169, 185, 145)(125, 171, 178, 134)(128, 173, 177, 133)(140, 186, 219, 187)(148, 184, 216, 181)(158, 191, 220, 199)(159, 200, 228, 201)(160, 193, 214, 202)(161, 196, 226, 203)(165, 190, 217, 198)(168, 189, 223, 197)(170, 207, 232, 208)(175, 210, 234, 211)(188, 215, 235, 222)(194, 213, 238, 221)(204, 229, 245, 227)(205, 230, 236, 218)(209, 233, 237, 212)(224, 242, 250, 241)(225, 240, 247, 243)(231, 246, 251, 244)(239, 249, 253, 248)(252, 254, 256, 255)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 115)(72, 116)(74, 119)(75, 120)(76, 122)(77, 123)(78, 125)(79, 118)(80, 109)(83, 128)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 145)(99, 146)(100, 147)(101, 148)(103, 150)(104, 151)(105, 153)(106, 154)(108, 158)(110, 159)(111, 160)(112, 161)(117, 165)(121, 168)(124, 170)(126, 169)(127, 167)(129, 166)(130, 162)(131, 175)(135, 180)(136, 181)(138, 184)(139, 185)(141, 188)(142, 189)(143, 190)(144, 191)(149, 193)(152, 194)(155, 196)(156, 197)(157, 198)(163, 204)(164, 205)(171, 203)(172, 209)(173, 202)(174, 201)(176, 212)(177, 213)(178, 214)(179, 215)(182, 217)(183, 218)(186, 220)(187, 221)(192, 224)(195, 225)(199, 227)(200, 229)(206, 231)(207, 233)(208, 228)(210, 235)(211, 236)(216, 239)(219, 240)(222, 241)(223, 242)(226, 244)(230, 246)(232, 243)(234, 247)(237, 248)(238, 249)(245, 252)(250, 254)(251, 255)(253, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2260
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.2262 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, (T2^-1 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 112, 69)(44, 73, 119, 74)(46, 76, 122, 77)(49, 81, 127, 82)(54, 89, 136, 90)(57, 94, 143, 95)(59, 97, 146, 98)(62, 102, 151, 103)(65, 107, 155, 108)(67, 110, 83, 111)(70, 114, 80, 115)(72, 116, 162, 117)(75, 120, 166, 121)(78, 124, 170, 125)(85, 129, 174, 130)(86, 131, 175, 132)(88, 134, 104, 135)(91, 138, 101, 139)(93, 140, 182, 141)(96, 144, 186, 145)(99, 148, 190, 149)(106, 153, 194, 154)(109, 156, 195, 157)(113, 160, 200, 161)(118, 163, 202, 164)(123, 168, 206, 169)(126, 171, 203, 165)(128, 173, 205, 167)(133, 176, 210, 177)(137, 180, 215, 181)(142, 183, 217, 184)(147, 188, 221, 189)(150, 191, 218, 185)(152, 193, 220, 187)(158, 196, 226, 197)(159, 198, 227, 199)(172, 208, 233, 209)(178, 211, 235, 212)(179, 213, 236, 214)(192, 223, 242, 224)(201, 229, 245, 228)(204, 230, 246, 231)(207, 232, 243, 225)(216, 238, 249, 237)(219, 239, 250, 240)(222, 241, 247, 234)(244, 252, 255, 251)(248, 254, 256, 253)(257, 258)(259, 263)(260, 265)(261, 266)(262, 268)(264, 271)(267, 276)(269, 279)(270, 281)(272, 284)(273, 286)(274, 287)(275, 289)(277, 292)(278, 294)(280, 297)(282, 300)(283, 302)(285, 305)(288, 310)(290, 313)(291, 315)(293, 318)(295, 321)(296, 323)(298, 326)(299, 328)(301, 331)(303, 334)(304, 336)(306, 339)(307, 341)(308, 342)(309, 344)(311, 347)(312, 349)(314, 352)(316, 355)(317, 357)(319, 360)(320, 362)(322, 365)(324, 345)(325, 369)(327, 353)(329, 374)(330, 356)(332, 348)(333, 379)(335, 351)(337, 382)(338, 359)(340, 384)(343, 389)(346, 393)(350, 398)(354, 403)(358, 406)(361, 408)(363, 410)(364, 397)(366, 394)(367, 414)(368, 415)(370, 390)(371, 395)(372, 396)(373, 388)(375, 421)(376, 412)(377, 423)(378, 416)(380, 409)(381, 405)(383, 428)(385, 404)(386, 387)(391, 434)(392, 435)(399, 441)(400, 432)(401, 443)(402, 436)(407, 448)(411, 439)(413, 447)(417, 449)(418, 457)(419, 431)(420, 453)(422, 460)(424, 452)(425, 450)(426, 463)(427, 433)(429, 437)(430, 445)(438, 472)(440, 468)(442, 475)(444, 467)(446, 478)(451, 481)(454, 473)(455, 484)(456, 474)(458, 469)(459, 471)(461, 485)(462, 480)(464, 488)(465, 477)(466, 490)(470, 493)(476, 494)(479, 497)(482, 500)(483, 495)(486, 492)(487, 498)(489, 496)(491, 504)(499, 507)(501, 508)(502, 506)(503, 509)(505, 510)(511, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2266
Transitivity :: ET+
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.2263 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-2, T2^8, T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1, T1^-1 * T2^-3 * T1 * T2 * T1^-1 * T2^4 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-2 * T1 * T2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 79, 44, 20, 8)(4, 12, 27, 58, 98, 48, 22, 9)(6, 15, 33, 69, 129, 75, 36, 16)(11, 26, 55, 109, 174, 101, 50, 23)(13, 29, 61, 118, 159, 122, 64, 30)(18, 40, 82, 149, 102, 143, 77, 37)(19, 41, 84, 153, 206, 157, 87, 42)(21, 45, 91, 162, 124, 166, 94, 46)(25, 54, 107, 178, 229, 175, 103, 51)(28, 60, 108, 179, 193, 185, 113, 57)(31, 65, 123, 189, 216, 155, 86, 66)(34, 71, 132, 196, 144, 192, 127, 68)(35, 72, 134, 200, 168, 204, 137, 73)(39, 81, 56, 111, 177, 210, 145, 78)(43, 88, 158, 218, 242, 202, 136, 89)(47, 95, 167, 225, 187, 120, 63, 96)(49, 99, 170, 117, 62, 119, 172, 100)(53, 106, 176, 230, 241, 207, 140, 104)(59, 116, 133, 198, 238, 227, 173, 114)(67, 105, 130, 195, 237, 232, 186, 125)(70, 131, 83, 151, 212, 236, 194, 128)(74, 138, 205, 244, 222, 164, 93, 139)(76, 141, 208, 152, 85, 154, 209, 142)(80, 148, 211, 246, 221, 169, 97, 146)(90, 147, 115, 181, 231, 247, 215, 160)(92, 163, 220, 184, 112, 183, 219, 161)(110, 182, 121, 188, 233, 251, 228, 180)(126, 190, 234, 199, 135, 201, 235, 191)(150, 214, 156, 217, 248, 254, 245, 213)(165, 223, 249, 255, 250, 226, 171, 224)(197, 240, 203, 243, 253, 256, 252, 239)(257, 258, 262, 260)(259, 265, 277, 267)(261, 269, 274, 263)(264, 275, 290, 271)(266, 279, 305, 281)(268, 272, 291, 284)(270, 287, 318, 285)(273, 293, 332, 295)(276, 299, 341, 297)(278, 303, 348, 301)(280, 307, 358, 309)(282, 302, 349, 312)(283, 313, 368, 315)(286, 319, 339, 296)(288, 323, 380, 321)(289, 324, 382, 326)(292, 330, 391, 328)(294, 334, 400, 336)(298, 342, 389, 327)(300, 346, 415, 344)(304, 353, 424, 351)(306, 340, 408, 355)(308, 360, 385, 361)(310, 356, 427, 364)(311, 337, 398, 366)(314, 370, 430, 371)(316, 329, 392, 363)(317, 373, 439, 369)(320, 377, 419, 352)(322, 343, 412, 375)(325, 384, 449, 386)(331, 396, 462, 394)(333, 390, 455, 397)(335, 402, 354, 403)(338, 387, 447, 406)(345, 393, 459, 410)(347, 417, 446, 383)(350, 421, 457, 395)(357, 429, 461, 409)(359, 423, 456, 399)(362, 405, 469, 433)(365, 436, 485, 437)(367, 420, 477, 432)(372, 440, 453, 388)(374, 441, 450, 414)(376, 442, 467, 407)(378, 416, 472, 444)(379, 418, 448, 401)(381, 443, 479, 422)(404, 452, 495, 468)(411, 471, 493, 454)(413, 463, 498, 473)(425, 478, 499, 460)(426, 464, 490, 475)(428, 470, 491, 480)(431, 484, 505, 481)(434, 458, 497, 487)(435, 482, 494, 451)(438, 465, 496, 476)(445, 466, 501, 489)(474, 492, 508, 504)(483, 506, 509, 500)(486, 502, 488, 503)(507, 510, 512, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2267
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.2264 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, (T2 * T1^3 * T2 * T1^-1)^2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2 * T1^-2)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 105)(60, 106)(61, 109)(63, 111)(64, 113)(66, 116)(67, 114)(69, 118)(72, 123)(74, 125)(75, 107)(77, 117)(78, 112)(79, 127)(80, 132)(81, 133)(82, 136)(85, 138)(86, 141)(88, 143)(89, 145)(91, 147)(92, 148)(94, 150)(95, 151)(97, 153)(98, 154)(100, 157)(101, 155)(104, 161)(108, 164)(110, 167)(115, 170)(119, 171)(120, 159)(121, 168)(122, 176)(124, 165)(126, 178)(128, 181)(129, 175)(130, 177)(131, 185)(134, 186)(135, 189)(137, 191)(139, 193)(140, 194)(142, 196)(144, 198)(146, 199)(149, 202)(152, 204)(156, 206)(158, 207)(160, 211)(162, 195)(163, 214)(166, 216)(169, 201)(172, 218)(173, 217)(174, 203)(179, 205)(180, 209)(182, 221)(183, 210)(184, 224)(187, 225)(188, 226)(190, 227)(192, 229)(197, 232)(200, 233)(208, 231)(212, 239)(213, 240)(215, 242)(219, 243)(220, 241)(222, 237)(223, 244)(228, 246)(230, 247)(234, 245)(235, 249)(236, 250)(238, 251)(248, 254)(252, 255)(253, 256)(257, 258, 261, 267, 279, 278, 266, 260)(259, 263, 271, 287, 313, 293, 274, 264)(262, 269, 283, 307, 348, 312, 286, 270)(265, 275, 294, 325, 376, 330, 296, 276)(268, 281, 303, 342, 396, 347, 306, 282)(272, 289, 317, 364, 388, 340, 319, 290)(273, 291, 320, 368, 389, 353, 309, 284)(277, 297, 331, 382, 436, 384, 333, 298)(280, 301, 338, 391, 444, 395, 341, 302)(285, 310, 354, 332, 383, 400, 344, 304)(288, 315, 343, 398, 441, 419, 363, 316)(292, 322, 346, 402, 442, 428, 373, 323)(295, 327, 378, 393, 339, 305, 345, 328)(299, 334, 385, 438, 478, 439, 386, 335)(300, 336, 387, 440, 479, 443, 390, 337)(308, 350, 392, 446, 431, 377, 326, 351)(311, 356, 394, 448, 433, 380, 329, 357)(314, 360, 416, 466, 480, 464, 414, 358)(318, 366, 401, 372, 427, 469, 418, 361)(321, 370, 425, 468, 417, 362, 410, 371)(324, 374, 429, 475, 481, 445, 430, 375)(349, 405, 457, 437, 477, 490, 456, 403)(352, 408, 367, 413, 463, 492, 459, 406)(355, 411, 461, 491, 458, 407, 379, 412)(359, 404, 450, 482, 500, 493, 465, 415)(365, 421, 467, 494, 473, 424, 369, 422)(381, 434, 476, 486, 449, 397, 451, 435)(399, 453, 409, 455, 489, 504, 487, 452)(420, 471, 432, 474, 499, 508, 497, 470)(423, 460, 488, 502, 498, 472, 426, 462)(447, 484, 454, 485, 503, 509, 501, 483)(495, 505, 496, 506, 510, 512, 511, 507)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2265
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.2265 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2, T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1, (T2^-1 * T1)^8 ]
Map::
	R = (1, 257, 3, 259, 8, 264, 4, 260)(2, 258, 5, 261, 11, 267, 6, 262)(7, 263, 13, 269, 24, 280, 14, 270)(9, 265, 16, 272, 29, 285, 17, 273)(10, 266, 18, 274, 32, 288, 19, 275)(12, 268, 21, 277, 37, 293, 22, 278)(15, 271, 26, 282, 45, 301, 27, 283)(20, 276, 34, 290, 58, 314, 35, 291)(23, 279, 39, 295, 66, 322, 40, 296)(25, 281, 42, 298, 71, 327, 43, 299)(28, 284, 47, 303, 79, 335, 48, 304)(30, 286, 50, 306, 84, 340, 51, 307)(31, 287, 52, 308, 87, 343, 53, 309)(33, 289, 55, 311, 92, 348, 56, 312)(36, 292, 60, 316, 100, 356, 61, 317)(38, 294, 63, 319, 105, 361, 64, 320)(41, 297, 68, 324, 112, 368, 69, 325)(44, 300, 73, 329, 119, 375, 74, 330)(46, 302, 76, 332, 122, 378, 77, 333)(49, 305, 81, 337, 127, 383, 82, 338)(54, 310, 89, 345, 136, 392, 90, 346)(57, 313, 94, 350, 143, 399, 95, 351)(59, 315, 97, 353, 146, 402, 98, 354)(62, 318, 102, 358, 151, 407, 103, 359)(65, 321, 107, 363, 155, 411, 108, 364)(67, 323, 110, 366, 83, 339, 111, 367)(70, 326, 114, 370, 80, 336, 115, 371)(72, 328, 116, 372, 162, 418, 117, 373)(75, 331, 120, 376, 166, 422, 121, 377)(78, 334, 124, 380, 170, 426, 125, 381)(85, 341, 129, 385, 174, 430, 130, 386)(86, 342, 131, 387, 175, 431, 132, 388)(88, 344, 134, 390, 104, 360, 135, 391)(91, 347, 138, 394, 101, 357, 139, 395)(93, 349, 140, 396, 182, 438, 141, 397)(96, 352, 144, 400, 186, 442, 145, 401)(99, 355, 148, 404, 190, 446, 149, 405)(106, 362, 153, 409, 194, 450, 154, 410)(109, 365, 156, 412, 195, 451, 157, 413)(113, 369, 160, 416, 200, 456, 161, 417)(118, 374, 163, 419, 202, 458, 164, 420)(123, 379, 168, 424, 206, 462, 169, 425)(126, 382, 171, 427, 203, 459, 165, 421)(128, 384, 173, 429, 205, 461, 167, 423)(133, 389, 176, 432, 210, 466, 177, 433)(137, 393, 180, 436, 215, 471, 181, 437)(142, 398, 183, 439, 217, 473, 184, 440)(147, 403, 188, 444, 221, 477, 189, 445)(150, 406, 191, 447, 218, 474, 185, 441)(152, 408, 193, 449, 220, 476, 187, 443)(158, 414, 196, 452, 226, 482, 197, 453)(159, 415, 198, 454, 227, 483, 199, 455)(172, 428, 208, 464, 233, 489, 209, 465)(178, 434, 211, 467, 235, 491, 212, 468)(179, 435, 213, 469, 236, 492, 214, 470)(192, 448, 223, 479, 242, 498, 224, 480)(201, 457, 229, 485, 245, 501, 228, 484)(204, 460, 230, 486, 246, 502, 231, 487)(207, 463, 232, 488, 243, 499, 225, 481)(216, 472, 238, 494, 249, 505, 237, 493)(219, 475, 239, 495, 250, 506, 240, 496)(222, 478, 241, 497, 247, 503, 234, 490)(244, 500, 252, 508, 255, 511, 251, 507)(248, 504, 254, 510, 256, 512, 253, 509)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 331)(46, 283)(47, 334)(48, 336)(49, 285)(50, 339)(51, 341)(52, 342)(53, 344)(54, 288)(55, 347)(56, 349)(57, 290)(58, 352)(59, 291)(60, 355)(61, 357)(62, 293)(63, 360)(64, 362)(65, 295)(66, 365)(67, 296)(68, 345)(69, 369)(70, 298)(71, 353)(72, 299)(73, 374)(74, 356)(75, 301)(76, 348)(77, 379)(78, 303)(79, 351)(80, 304)(81, 382)(82, 359)(83, 306)(84, 384)(85, 307)(86, 308)(87, 389)(88, 309)(89, 324)(90, 393)(91, 311)(92, 332)(93, 312)(94, 398)(95, 335)(96, 314)(97, 327)(98, 403)(99, 316)(100, 330)(101, 317)(102, 406)(103, 338)(104, 319)(105, 408)(106, 320)(107, 410)(108, 397)(109, 322)(110, 394)(111, 414)(112, 415)(113, 325)(114, 390)(115, 395)(116, 396)(117, 388)(118, 329)(119, 421)(120, 412)(121, 423)(122, 416)(123, 333)(124, 409)(125, 405)(126, 337)(127, 428)(128, 340)(129, 404)(130, 387)(131, 386)(132, 373)(133, 343)(134, 370)(135, 434)(136, 435)(137, 346)(138, 366)(139, 371)(140, 372)(141, 364)(142, 350)(143, 441)(144, 432)(145, 443)(146, 436)(147, 354)(148, 385)(149, 381)(150, 358)(151, 448)(152, 361)(153, 380)(154, 363)(155, 439)(156, 376)(157, 447)(158, 367)(159, 368)(160, 378)(161, 449)(162, 457)(163, 431)(164, 453)(165, 375)(166, 460)(167, 377)(168, 452)(169, 450)(170, 463)(171, 433)(172, 383)(173, 437)(174, 445)(175, 419)(176, 400)(177, 427)(178, 391)(179, 392)(180, 402)(181, 429)(182, 472)(183, 411)(184, 468)(185, 399)(186, 475)(187, 401)(188, 467)(189, 430)(190, 478)(191, 413)(192, 407)(193, 417)(194, 425)(195, 481)(196, 424)(197, 420)(198, 473)(199, 484)(200, 474)(201, 418)(202, 469)(203, 471)(204, 422)(205, 485)(206, 480)(207, 426)(208, 488)(209, 477)(210, 490)(211, 444)(212, 440)(213, 458)(214, 493)(215, 459)(216, 438)(217, 454)(218, 456)(219, 442)(220, 494)(221, 465)(222, 446)(223, 497)(224, 462)(225, 451)(226, 500)(227, 495)(228, 455)(229, 461)(230, 492)(231, 498)(232, 464)(233, 496)(234, 466)(235, 504)(236, 486)(237, 470)(238, 476)(239, 483)(240, 489)(241, 479)(242, 487)(243, 507)(244, 482)(245, 508)(246, 506)(247, 509)(248, 491)(249, 510)(250, 502)(251, 499)(252, 501)(253, 503)(254, 505)(255, 512)(256, 511)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2264
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.2266 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, T1^-1 * T2^-1 * T1^2 * T2^-1 * T1^-1 * T2^-2, T2^8, T2^-2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1, T1^-1 * T2^-3 * T1 * T2 * T1^-1 * T2^4 * T1^-1, T2^2 * T1^-1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^-2 * T1^-1, T2^-1 * T1^2 * T2^-1 * T1 * T2^-1 * T1^2 * T2^-2 * T1 * T2^-1 ]
Map::
	R = (1, 257, 3, 259, 10, 266, 24, 280, 52, 308, 32, 288, 14, 270, 5, 261)(2, 258, 7, 263, 17, 273, 38, 294, 79, 335, 44, 300, 20, 276, 8, 264)(4, 260, 12, 268, 27, 283, 58, 314, 98, 354, 48, 304, 22, 278, 9, 265)(6, 262, 15, 271, 33, 289, 69, 325, 129, 385, 75, 331, 36, 292, 16, 272)(11, 267, 26, 282, 55, 311, 109, 365, 174, 430, 101, 357, 50, 306, 23, 279)(13, 269, 29, 285, 61, 317, 118, 374, 159, 415, 122, 378, 64, 320, 30, 286)(18, 274, 40, 296, 82, 338, 149, 405, 102, 358, 143, 399, 77, 333, 37, 293)(19, 275, 41, 297, 84, 340, 153, 409, 206, 462, 157, 413, 87, 343, 42, 298)(21, 277, 45, 301, 91, 347, 162, 418, 124, 380, 166, 422, 94, 350, 46, 302)(25, 281, 54, 310, 107, 363, 178, 434, 229, 485, 175, 431, 103, 359, 51, 307)(28, 284, 60, 316, 108, 364, 179, 435, 193, 449, 185, 441, 113, 369, 57, 313)(31, 287, 65, 321, 123, 379, 189, 445, 216, 472, 155, 411, 86, 342, 66, 322)(34, 290, 71, 327, 132, 388, 196, 452, 144, 400, 192, 448, 127, 383, 68, 324)(35, 291, 72, 328, 134, 390, 200, 456, 168, 424, 204, 460, 137, 393, 73, 329)(39, 295, 81, 337, 56, 312, 111, 367, 177, 433, 210, 466, 145, 401, 78, 334)(43, 299, 88, 344, 158, 414, 218, 474, 242, 498, 202, 458, 136, 392, 89, 345)(47, 303, 95, 351, 167, 423, 225, 481, 187, 443, 120, 376, 63, 319, 96, 352)(49, 305, 99, 355, 170, 426, 117, 373, 62, 318, 119, 375, 172, 428, 100, 356)(53, 309, 106, 362, 176, 432, 230, 486, 241, 497, 207, 463, 140, 396, 104, 360)(59, 315, 116, 372, 133, 389, 198, 454, 238, 494, 227, 483, 173, 429, 114, 370)(67, 323, 105, 361, 130, 386, 195, 451, 237, 493, 232, 488, 186, 442, 125, 381)(70, 326, 131, 387, 83, 339, 151, 407, 212, 468, 236, 492, 194, 450, 128, 384)(74, 330, 138, 394, 205, 461, 244, 500, 222, 478, 164, 420, 93, 349, 139, 395)(76, 332, 141, 397, 208, 464, 152, 408, 85, 341, 154, 410, 209, 465, 142, 398)(80, 336, 148, 404, 211, 467, 246, 502, 221, 477, 169, 425, 97, 353, 146, 402)(90, 346, 147, 403, 115, 371, 181, 437, 231, 487, 247, 503, 215, 471, 160, 416)(92, 348, 163, 419, 220, 476, 184, 440, 112, 368, 183, 439, 219, 475, 161, 417)(110, 366, 182, 438, 121, 377, 188, 444, 233, 489, 251, 507, 228, 484, 180, 436)(126, 382, 190, 446, 234, 490, 199, 455, 135, 391, 201, 457, 235, 491, 191, 447)(150, 406, 214, 470, 156, 412, 217, 473, 248, 504, 254, 510, 245, 501, 213, 469)(165, 421, 223, 479, 249, 505, 255, 511, 250, 506, 226, 482, 171, 427, 224, 480)(197, 453, 240, 496, 203, 459, 243, 499, 253, 509, 256, 512, 252, 508, 239, 495)
	L = (1, 258)(2, 262)(3, 265)(4, 257)(5, 269)(6, 260)(7, 261)(8, 275)(9, 277)(10, 279)(11, 259)(12, 272)(13, 274)(14, 287)(15, 264)(16, 291)(17, 293)(18, 263)(19, 290)(20, 299)(21, 267)(22, 303)(23, 305)(24, 307)(25, 266)(26, 302)(27, 313)(28, 268)(29, 270)(30, 319)(31, 318)(32, 323)(33, 324)(34, 271)(35, 284)(36, 330)(37, 332)(38, 334)(39, 273)(40, 286)(41, 276)(42, 342)(43, 341)(44, 346)(45, 278)(46, 349)(47, 348)(48, 353)(49, 281)(50, 340)(51, 358)(52, 360)(53, 280)(54, 356)(55, 337)(56, 282)(57, 368)(58, 370)(59, 283)(60, 329)(61, 373)(62, 285)(63, 339)(64, 377)(65, 288)(66, 343)(67, 380)(68, 382)(69, 384)(70, 289)(71, 298)(72, 292)(73, 392)(74, 391)(75, 396)(76, 295)(77, 390)(78, 400)(79, 402)(80, 294)(81, 398)(82, 387)(83, 296)(84, 408)(85, 297)(86, 389)(87, 412)(88, 300)(89, 393)(90, 415)(91, 417)(92, 301)(93, 312)(94, 421)(95, 304)(96, 320)(97, 424)(98, 403)(99, 306)(100, 427)(101, 429)(102, 309)(103, 423)(104, 385)(105, 308)(106, 405)(107, 316)(108, 310)(109, 436)(110, 311)(111, 420)(112, 315)(113, 317)(114, 430)(115, 314)(116, 440)(117, 439)(118, 441)(119, 322)(120, 442)(121, 419)(122, 416)(123, 418)(124, 321)(125, 443)(126, 326)(127, 347)(128, 449)(129, 361)(130, 325)(131, 447)(132, 372)(133, 327)(134, 455)(135, 328)(136, 363)(137, 459)(138, 331)(139, 350)(140, 462)(141, 333)(142, 366)(143, 359)(144, 336)(145, 379)(146, 354)(147, 335)(148, 452)(149, 469)(150, 338)(151, 376)(152, 355)(153, 357)(154, 345)(155, 471)(156, 375)(157, 463)(158, 374)(159, 344)(160, 472)(161, 446)(162, 448)(163, 352)(164, 477)(165, 457)(166, 381)(167, 456)(168, 351)(169, 478)(170, 464)(171, 364)(172, 470)(173, 461)(174, 371)(175, 484)(176, 367)(177, 362)(178, 458)(179, 482)(180, 485)(181, 365)(182, 465)(183, 369)(184, 453)(185, 450)(186, 467)(187, 479)(188, 378)(189, 466)(190, 383)(191, 406)(192, 401)(193, 386)(194, 414)(195, 435)(196, 495)(197, 388)(198, 411)(199, 397)(200, 399)(201, 395)(202, 497)(203, 410)(204, 425)(205, 409)(206, 394)(207, 498)(208, 490)(209, 496)(210, 501)(211, 407)(212, 404)(213, 433)(214, 491)(215, 493)(216, 444)(217, 413)(218, 492)(219, 426)(220, 438)(221, 432)(222, 499)(223, 422)(224, 428)(225, 431)(226, 494)(227, 506)(228, 505)(229, 437)(230, 502)(231, 434)(232, 503)(233, 445)(234, 475)(235, 480)(236, 508)(237, 454)(238, 451)(239, 468)(240, 476)(241, 487)(242, 473)(243, 460)(244, 483)(245, 489)(246, 488)(247, 486)(248, 474)(249, 481)(250, 509)(251, 510)(252, 504)(253, 500)(254, 512)(255, 507)(256, 511)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2262
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.2267 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2, (T2 * T1^3 * T2 * T1^-1)^2, T1^-1 * T2 * T1^2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 257, 3, 259)(2, 258, 6, 262)(4, 260, 9, 265)(5, 261, 12, 268)(7, 263, 16, 272)(8, 264, 17, 273)(10, 266, 21, 277)(11, 267, 24, 280)(13, 269, 28, 284)(14, 270, 29, 285)(15, 271, 32, 288)(18, 274, 36, 292)(19, 275, 39, 295)(20, 276, 33, 289)(22, 278, 43, 299)(23, 279, 44, 300)(25, 281, 48, 304)(26, 282, 49, 305)(27, 283, 52, 308)(30, 286, 55, 311)(31, 287, 58, 314)(34, 290, 62, 318)(35, 291, 65, 321)(37, 293, 68, 324)(38, 294, 70, 326)(40, 296, 73, 329)(41, 297, 76, 332)(42, 298, 71, 327)(45, 301, 83, 339)(46, 302, 84, 340)(47, 303, 87, 343)(50, 306, 90, 346)(51, 307, 93, 349)(53, 309, 96, 352)(54, 310, 99, 355)(56, 312, 102, 358)(57, 313, 103, 359)(59, 315, 105, 361)(60, 316, 106, 362)(61, 317, 109, 365)(63, 319, 111, 367)(64, 320, 113, 369)(66, 322, 116, 372)(67, 323, 114, 370)(69, 325, 118, 374)(72, 328, 123, 379)(74, 330, 125, 381)(75, 331, 107, 363)(77, 333, 117, 373)(78, 334, 112, 368)(79, 335, 127, 383)(80, 336, 132, 388)(81, 337, 133, 389)(82, 338, 136, 392)(85, 341, 138, 394)(86, 342, 141, 397)(88, 344, 143, 399)(89, 345, 145, 401)(91, 347, 147, 403)(92, 348, 148, 404)(94, 350, 150, 406)(95, 351, 151, 407)(97, 353, 153, 409)(98, 354, 154, 410)(100, 356, 157, 413)(101, 357, 155, 411)(104, 360, 161, 417)(108, 364, 164, 420)(110, 366, 167, 423)(115, 371, 170, 426)(119, 375, 171, 427)(120, 376, 159, 415)(121, 377, 168, 424)(122, 378, 176, 432)(124, 380, 165, 421)(126, 382, 178, 434)(128, 384, 181, 437)(129, 385, 175, 431)(130, 386, 177, 433)(131, 387, 185, 441)(134, 390, 186, 442)(135, 391, 189, 445)(137, 393, 191, 447)(139, 395, 193, 449)(140, 396, 194, 450)(142, 398, 196, 452)(144, 400, 198, 454)(146, 402, 199, 455)(149, 405, 202, 458)(152, 408, 204, 460)(156, 412, 206, 462)(158, 414, 207, 463)(160, 416, 211, 467)(162, 418, 195, 451)(163, 419, 214, 470)(166, 422, 216, 472)(169, 425, 201, 457)(172, 428, 218, 474)(173, 429, 217, 473)(174, 430, 203, 459)(179, 435, 205, 461)(180, 436, 209, 465)(182, 438, 221, 477)(183, 439, 210, 466)(184, 440, 224, 480)(187, 443, 225, 481)(188, 444, 226, 482)(190, 446, 227, 483)(192, 448, 229, 485)(197, 453, 232, 488)(200, 456, 233, 489)(208, 464, 231, 487)(212, 468, 239, 495)(213, 469, 240, 496)(215, 471, 242, 498)(219, 475, 243, 499)(220, 476, 241, 497)(222, 478, 237, 493)(223, 479, 244, 500)(228, 484, 246, 502)(230, 486, 247, 503)(234, 490, 245, 501)(235, 491, 249, 505)(236, 492, 250, 506)(238, 494, 251, 507)(248, 504, 254, 510)(252, 508, 255, 511)(253, 509, 256, 512)
	L = (1, 258)(2, 261)(3, 263)(4, 257)(5, 267)(6, 269)(7, 271)(8, 259)(9, 275)(10, 260)(11, 279)(12, 281)(13, 283)(14, 262)(15, 287)(16, 289)(17, 291)(18, 264)(19, 294)(20, 265)(21, 297)(22, 266)(23, 278)(24, 301)(25, 303)(26, 268)(27, 307)(28, 273)(29, 310)(30, 270)(31, 313)(32, 315)(33, 317)(34, 272)(35, 320)(36, 322)(37, 274)(38, 325)(39, 327)(40, 276)(41, 331)(42, 277)(43, 334)(44, 336)(45, 338)(46, 280)(47, 342)(48, 285)(49, 345)(50, 282)(51, 348)(52, 350)(53, 284)(54, 354)(55, 356)(56, 286)(57, 293)(58, 360)(59, 343)(60, 288)(61, 364)(62, 366)(63, 290)(64, 368)(65, 370)(66, 346)(67, 292)(68, 374)(69, 376)(70, 351)(71, 378)(72, 295)(73, 357)(74, 296)(75, 382)(76, 383)(77, 298)(78, 385)(79, 299)(80, 387)(81, 300)(82, 391)(83, 305)(84, 319)(85, 302)(86, 396)(87, 398)(88, 304)(89, 328)(90, 402)(91, 306)(92, 312)(93, 405)(94, 392)(95, 308)(96, 408)(97, 309)(98, 332)(99, 411)(100, 394)(101, 311)(102, 314)(103, 404)(104, 416)(105, 318)(106, 410)(107, 316)(108, 388)(109, 421)(110, 401)(111, 413)(112, 389)(113, 422)(114, 425)(115, 321)(116, 427)(117, 323)(118, 429)(119, 324)(120, 330)(121, 326)(122, 393)(123, 412)(124, 329)(125, 434)(126, 436)(127, 400)(128, 333)(129, 438)(130, 335)(131, 440)(132, 340)(133, 353)(134, 337)(135, 444)(136, 446)(137, 339)(138, 448)(139, 341)(140, 347)(141, 451)(142, 441)(143, 453)(144, 344)(145, 372)(146, 442)(147, 349)(148, 450)(149, 457)(150, 352)(151, 379)(152, 367)(153, 455)(154, 371)(155, 461)(156, 355)(157, 463)(158, 358)(159, 359)(160, 466)(161, 362)(162, 361)(163, 363)(164, 471)(165, 467)(166, 365)(167, 460)(168, 369)(169, 468)(170, 462)(171, 469)(172, 373)(173, 475)(174, 375)(175, 377)(176, 474)(177, 380)(178, 476)(179, 381)(180, 384)(181, 477)(182, 478)(183, 386)(184, 479)(185, 419)(186, 428)(187, 390)(188, 395)(189, 430)(190, 431)(191, 484)(192, 433)(193, 397)(194, 482)(195, 435)(196, 399)(197, 409)(198, 485)(199, 489)(200, 403)(201, 437)(202, 407)(203, 406)(204, 488)(205, 491)(206, 423)(207, 492)(208, 414)(209, 415)(210, 480)(211, 494)(212, 417)(213, 418)(214, 420)(215, 432)(216, 426)(217, 424)(218, 499)(219, 481)(220, 486)(221, 490)(222, 439)(223, 443)(224, 464)(225, 445)(226, 500)(227, 447)(228, 454)(229, 503)(230, 449)(231, 452)(232, 502)(233, 504)(234, 456)(235, 458)(236, 459)(237, 465)(238, 473)(239, 505)(240, 506)(241, 470)(242, 472)(243, 508)(244, 493)(245, 483)(246, 498)(247, 509)(248, 487)(249, 496)(250, 510)(251, 495)(252, 497)(253, 501)(254, 512)(255, 507)(256, 511)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2263
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.2268 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^2 * Y1, Y2^-2 * Y1 * Y2^-1 * Y1 * Y2 * R * Y2^2 * R * Y2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2^-1 * Y1)^4, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^8 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 10, 266)(6, 262, 12, 268)(8, 264, 15, 271)(11, 267, 20, 276)(13, 269, 23, 279)(14, 270, 25, 281)(16, 272, 28, 284)(17, 273, 30, 286)(18, 274, 31, 287)(19, 275, 33, 289)(21, 277, 36, 292)(22, 278, 38, 294)(24, 280, 41, 297)(26, 282, 44, 300)(27, 283, 46, 302)(29, 285, 49, 305)(32, 288, 54, 310)(34, 290, 57, 313)(35, 291, 59, 315)(37, 293, 62, 318)(39, 295, 65, 321)(40, 296, 67, 323)(42, 298, 70, 326)(43, 299, 72, 328)(45, 301, 75, 331)(47, 303, 78, 334)(48, 304, 80, 336)(50, 306, 83, 339)(51, 307, 85, 341)(52, 308, 86, 342)(53, 309, 88, 344)(55, 311, 91, 347)(56, 312, 93, 349)(58, 314, 96, 352)(60, 316, 99, 355)(61, 317, 101, 357)(63, 319, 104, 360)(64, 320, 106, 362)(66, 322, 109, 365)(68, 324, 89, 345)(69, 325, 113, 369)(71, 327, 97, 353)(73, 329, 118, 374)(74, 330, 100, 356)(76, 332, 92, 348)(77, 333, 123, 379)(79, 335, 95, 351)(81, 337, 126, 382)(82, 338, 103, 359)(84, 340, 128, 384)(87, 343, 133, 389)(90, 346, 137, 393)(94, 350, 142, 398)(98, 354, 147, 403)(102, 358, 150, 406)(105, 361, 152, 408)(107, 363, 154, 410)(108, 364, 141, 397)(110, 366, 138, 394)(111, 367, 158, 414)(112, 368, 159, 415)(114, 370, 134, 390)(115, 371, 139, 395)(116, 372, 140, 396)(117, 373, 132, 388)(119, 375, 165, 421)(120, 376, 156, 412)(121, 377, 167, 423)(122, 378, 160, 416)(124, 380, 153, 409)(125, 381, 149, 405)(127, 383, 172, 428)(129, 385, 148, 404)(130, 386, 131, 387)(135, 391, 178, 434)(136, 392, 179, 435)(143, 399, 185, 441)(144, 400, 176, 432)(145, 401, 187, 443)(146, 402, 180, 436)(151, 407, 192, 448)(155, 411, 183, 439)(157, 413, 191, 447)(161, 417, 193, 449)(162, 418, 201, 457)(163, 419, 175, 431)(164, 420, 197, 453)(166, 422, 204, 460)(168, 424, 196, 452)(169, 425, 194, 450)(170, 426, 207, 463)(171, 427, 177, 433)(173, 429, 181, 437)(174, 430, 189, 445)(182, 438, 216, 472)(184, 440, 212, 468)(186, 442, 219, 475)(188, 444, 211, 467)(190, 446, 222, 478)(195, 451, 225, 481)(198, 454, 217, 473)(199, 455, 228, 484)(200, 456, 218, 474)(202, 458, 213, 469)(203, 459, 215, 471)(205, 461, 229, 485)(206, 462, 224, 480)(208, 464, 232, 488)(209, 465, 221, 477)(210, 466, 234, 490)(214, 470, 237, 493)(220, 476, 238, 494)(223, 479, 241, 497)(226, 482, 244, 500)(227, 483, 239, 495)(230, 486, 236, 492)(231, 487, 242, 498)(233, 489, 240, 496)(235, 491, 248, 504)(243, 499, 251, 507)(245, 501, 252, 508)(246, 502, 250, 506)(247, 503, 253, 509)(249, 505, 254, 510)(255, 511, 256, 512)(513, 769, 515, 771, 520, 776, 516, 772)(514, 770, 517, 773, 523, 779, 518, 774)(519, 775, 525, 781, 536, 792, 526, 782)(521, 777, 528, 784, 541, 797, 529, 785)(522, 778, 530, 786, 544, 800, 531, 787)(524, 780, 533, 789, 549, 805, 534, 790)(527, 783, 538, 794, 557, 813, 539, 795)(532, 788, 546, 802, 570, 826, 547, 803)(535, 791, 551, 807, 578, 834, 552, 808)(537, 793, 554, 810, 583, 839, 555, 811)(540, 796, 559, 815, 591, 847, 560, 816)(542, 798, 562, 818, 596, 852, 563, 819)(543, 799, 564, 820, 599, 855, 565, 821)(545, 801, 567, 823, 604, 860, 568, 824)(548, 804, 572, 828, 612, 868, 573, 829)(550, 806, 575, 831, 617, 873, 576, 832)(553, 809, 580, 836, 624, 880, 581, 837)(556, 812, 585, 841, 631, 887, 586, 842)(558, 814, 588, 844, 634, 890, 589, 845)(561, 817, 593, 849, 639, 895, 594, 850)(566, 822, 601, 857, 648, 904, 602, 858)(569, 825, 606, 862, 655, 911, 607, 863)(571, 827, 609, 865, 658, 914, 610, 866)(574, 830, 614, 870, 663, 919, 615, 871)(577, 833, 619, 875, 667, 923, 620, 876)(579, 835, 622, 878, 595, 851, 623, 879)(582, 838, 626, 882, 592, 848, 627, 883)(584, 840, 628, 884, 674, 930, 629, 885)(587, 843, 632, 888, 678, 934, 633, 889)(590, 846, 636, 892, 682, 938, 637, 893)(597, 853, 641, 897, 686, 942, 642, 898)(598, 854, 643, 899, 687, 943, 644, 900)(600, 856, 646, 902, 616, 872, 647, 903)(603, 859, 650, 906, 613, 869, 651, 907)(605, 861, 652, 908, 694, 950, 653, 909)(608, 864, 656, 912, 698, 954, 657, 913)(611, 867, 660, 916, 702, 958, 661, 917)(618, 874, 665, 921, 706, 962, 666, 922)(621, 877, 668, 924, 707, 963, 669, 925)(625, 881, 672, 928, 712, 968, 673, 929)(630, 886, 675, 931, 714, 970, 676, 932)(635, 891, 680, 936, 718, 974, 681, 937)(638, 894, 683, 939, 715, 971, 677, 933)(640, 896, 685, 941, 717, 973, 679, 935)(645, 901, 688, 944, 722, 978, 689, 945)(649, 905, 692, 948, 727, 983, 693, 949)(654, 910, 695, 951, 729, 985, 696, 952)(659, 915, 700, 956, 733, 989, 701, 957)(662, 918, 703, 959, 730, 986, 697, 953)(664, 920, 705, 961, 732, 988, 699, 955)(670, 926, 708, 964, 738, 994, 709, 965)(671, 927, 710, 966, 739, 995, 711, 967)(684, 940, 720, 976, 745, 1001, 721, 977)(690, 946, 723, 979, 747, 1003, 724, 980)(691, 947, 725, 981, 748, 1004, 726, 982)(704, 960, 735, 991, 754, 1010, 736, 992)(713, 969, 741, 997, 757, 1013, 740, 996)(716, 972, 742, 998, 758, 1014, 743, 999)(719, 975, 744, 1000, 755, 1011, 737, 993)(728, 984, 750, 1006, 761, 1017, 749, 1005)(731, 987, 751, 1007, 762, 1018, 752, 1008)(734, 990, 753, 1009, 759, 1015, 746, 1002)(756, 1012, 764, 1020, 767, 1023, 763, 1019)(760, 1016, 766, 1022, 768, 1024, 765, 1021)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 522)(6, 524)(7, 515)(8, 527)(9, 516)(10, 517)(11, 532)(12, 518)(13, 535)(14, 537)(15, 520)(16, 540)(17, 542)(18, 543)(19, 545)(20, 523)(21, 548)(22, 550)(23, 525)(24, 553)(25, 526)(26, 556)(27, 558)(28, 528)(29, 561)(30, 529)(31, 530)(32, 566)(33, 531)(34, 569)(35, 571)(36, 533)(37, 574)(38, 534)(39, 577)(40, 579)(41, 536)(42, 582)(43, 584)(44, 538)(45, 587)(46, 539)(47, 590)(48, 592)(49, 541)(50, 595)(51, 597)(52, 598)(53, 600)(54, 544)(55, 603)(56, 605)(57, 546)(58, 608)(59, 547)(60, 611)(61, 613)(62, 549)(63, 616)(64, 618)(65, 551)(66, 621)(67, 552)(68, 601)(69, 625)(70, 554)(71, 609)(72, 555)(73, 630)(74, 612)(75, 557)(76, 604)(77, 635)(78, 559)(79, 607)(80, 560)(81, 638)(82, 615)(83, 562)(84, 640)(85, 563)(86, 564)(87, 645)(88, 565)(89, 580)(90, 649)(91, 567)(92, 588)(93, 568)(94, 654)(95, 591)(96, 570)(97, 583)(98, 659)(99, 572)(100, 586)(101, 573)(102, 662)(103, 594)(104, 575)(105, 664)(106, 576)(107, 666)(108, 653)(109, 578)(110, 650)(111, 670)(112, 671)(113, 581)(114, 646)(115, 651)(116, 652)(117, 644)(118, 585)(119, 677)(120, 668)(121, 679)(122, 672)(123, 589)(124, 665)(125, 661)(126, 593)(127, 684)(128, 596)(129, 660)(130, 643)(131, 642)(132, 629)(133, 599)(134, 626)(135, 690)(136, 691)(137, 602)(138, 622)(139, 627)(140, 628)(141, 620)(142, 606)(143, 697)(144, 688)(145, 699)(146, 692)(147, 610)(148, 641)(149, 637)(150, 614)(151, 704)(152, 617)(153, 636)(154, 619)(155, 695)(156, 632)(157, 703)(158, 623)(159, 624)(160, 634)(161, 705)(162, 713)(163, 687)(164, 709)(165, 631)(166, 716)(167, 633)(168, 708)(169, 706)(170, 719)(171, 689)(172, 639)(173, 693)(174, 701)(175, 675)(176, 656)(177, 683)(178, 647)(179, 648)(180, 658)(181, 685)(182, 728)(183, 667)(184, 724)(185, 655)(186, 731)(187, 657)(188, 723)(189, 686)(190, 734)(191, 669)(192, 663)(193, 673)(194, 681)(195, 737)(196, 680)(197, 676)(198, 729)(199, 740)(200, 730)(201, 674)(202, 725)(203, 727)(204, 678)(205, 741)(206, 736)(207, 682)(208, 744)(209, 733)(210, 746)(211, 700)(212, 696)(213, 714)(214, 749)(215, 715)(216, 694)(217, 710)(218, 712)(219, 698)(220, 750)(221, 721)(222, 702)(223, 753)(224, 718)(225, 707)(226, 756)(227, 751)(228, 711)(229, 717)(230, 748)(231, 754)(232, 720)(233, 752)(234, 722)(235, 760)(236, 742)(237, 726)(238, 732)(239, 739)(240, 745)(241, 735)(242, 743)(243, 763)(244, 738)(245, 764)(246, 762)(247, 765)(248, 747)(249, 766)(250, 758)(251, 755)(252, 757)(253, 759)(254, 761)(255, 768)(256, 767)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2271
Graph:: bipartite
	v = 192 e = 512 f = 288
	degree seq :: [ 4^128, 8^64 ]

E17.2269 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y2^-1 * Y1^-1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^8, Y2^8, Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1, Y2^3 * Y1^-1 * Y2^-1 * Y1 * Y2^4 * Y1^-2, Y2^-2 * Y1^-1 * Y2^3 * Y1 * Y2^-1 * Y1^-1 * Y2^2 * Y1^-1, (Y2^-1 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 62, 318, 29, 285)(17, 273, 37, 293, 76, 332, 39, 295)(20, 276, 43, 299, 85, 341, 41, 297)(22, 278, 47, 303, 92, 348, 45, 301)(24, 280, 51, 307, 102, 358, 53, 309)(26, 282, 46, 302, 93, 349, 56, 312)(27, 283, 57, 313, 112, 368, 59, 315)(30, 286, 63, 319, 83, 339, 40, 296)(32, 288, 67, 323, 124, 380, 65, 321)(33, 289, 68, 324, 126, 382, 70, 326)(36, 292, 74, 330, 135, 391, 72, 328)(38, 294, 78, 334, 144, 400, 80, 336)(42, 298, 86, 342, 133, 389, 71, 327)(44, 300, 90, 346, 159, 415, 88, 344)(48, 304, 97, 353, 168, 424, 95, 351)(50, 306, 84, 340, 152, 408, 99, 355)(52, 308, 104, 360, 129, 385, 105, 361)(54, 310, 100, 356, 171, 427, 108, 364)(55, 311, 81, 337, 142, 398, 110, 366)(58, 314, 114, 370, 174, 430, 115, 371)(60, 316, 73, 329, 136, 392, 107, 363)(61, 317, 117, 373, 183, 439, 113, 369)(64, 320, 121, 377, 163, 419, 96, 352)(66, 322, 87, 343, 156, 412, 119, 375)(69, 325, 128, 384, 193, 449, 130, 386)(75, 331, 140, 396, 206, 462, 138, 394)(77, 333, 134, 390, 199, 455, 141, 397)(79, 335, 146, 402, 98, 354, 147, 403)(82, 338, 131, 387, 191, 447, 150, 406)(89, 345, 137, 393, 203, 459, 154, 410)(91, 347, 161, 417, 190, 446, 127, 383)(94, 350, 165, 421, 201, 457, 139, 395)(101, 357, 173, 429, 205, 461, 153, 409)(103, 359, 167, 423, 200, 456, 143, 399)(106, 362, 149, 405, 213, 469, 177, 433)(109, 365, 180, 436, 229, 485, 181, 437)(111, 367, 164, 420, 221, 477, 176, 432)(116, 372, 184, 440, 197, 453, 132, 388)(118, 374, 185, 441, 194, 450, 158, 414)(120, 376, 186, 442, 211, 467, 151, 407)(122, 378, 160, 416, 216, 472, 188, 444)(123, 379, 162, 418, 192, 448, 145, 401)(125, 381, 187, 443, 223, 479, 166, 422)(148, 404, 196, 452, 239, 495, 212, 468)(155, 411, 215, 471, 237, 493, 198, 454)(157, 413, 207, 463, 242, 498, 217, 473)(169, 425, 222, 478, 243, 499, 204, 460)(170, 426, 208, 464, 234, 490, 219, 475)(172, 428, 214, 470, 235, 491, 224, 480)(175, 431, 228, 484, 249, 505, 225, 481)(178, 434, 202, 458, 241, 497, 231, 487)(179, 435, 226, 482, 238, 494, 195, 451)(182, 438, 209, 465, 240, 496, 220, 476)(189, 445, 210, 466, 245, 501, 233, 489)(218, 474, 236, 492, 252, 508, 248, 504)(227, 483, 250, 506, 253, 509, 244, 500)(230, 486, 246, 502, 232, 488, 247, 503)(251, 507, 254, 510, 256, 512, 255, 511)(513, 769, 515, 771, 522, 778, 536, 792, 564, 820, 544, 800, 526, 782, 517, 773)(514, 770, 519, 775, 529, 785, 550, 806, 591, 847, 556, 812, 532, 788, 520, 776)(516, 772, 524, 780, 539, 795, 570, 826, 610, 866, 560, 816, 534, 790, 521, 777)(518, 774, 527, 783, 545, 801, 581, 837, 641, 897, 587, 843, 548, 804, 528, 784)(523, 779, 538, 794, 567, 823, 621, 877, 686, 942, 613, 869, 562, 818, 535, 791)(525, 781, 541, 797, 573, 829, 630, 886, 671, 927, 634, 890, 576, 832, 542, 798)(530, 786, 552, 808, 594, 850, 661, 917, 614, 870, 655, 911, 589, 845, 549, 805)(531, 787, 553, 809, 596, 852, 665, 921, 718, 974, 669, 925, 599, 855, 554, 810)(533, 789, 557, 813, 603, 859, 674, 930, 636, 892, 678, 934, 606, 862, 558, 814)(537, 793, 566, 822, 619, 875, 690, 946, 741, 997, 687, 943, 615, 871, 563, 819)(540, 796, 572, 828, 620, 876, 691, 947, 705, 961, 697, 953, 625, 881, 569, 825)(543, 799, 577, 833, 635, 891, 701, 957, 728, 984, 667, 923, 598, 854, 578, 834)(546, 802, 583, 839, 644, 900, 708, 964, 656, 912, 704, 960, 639, 895, 580, 836)(547, 803, 584, 840, 646, 902, 712, 968, 680, 936, 716, 972, 649, 905, 585, 841)(551, 807, 593, 849, 568, 824, 623, 879, 689, 945, 722, 978, 657, 913, 590, 846)(555, 811, 600, 856, 670, 926, 730, 986, 754, 1010, 714, 970, 648, 904, 601, 857)(559, 815, 607, 863, 679, 935, 737, 993, 699, 955, 632, 888, 575, 831, 608, 864)(561, 817, 611, 867, 682, 938, 629, 885, 574, 830, 631, 887, 684, 940, 612, 868)(565, 821, 618, 874, 688, 944, 742, 998, 753, 1009, 719, 975, 652, 908, 616, 872)(571, 827, 628, 884, 645, 901, 710, 966, 750, 1006, 739, 995, 685, 941, 626, 882)(579, 835, 617, 873, 642, 898, 707, 963, 749, 1005, 744, 1000, 698, 954, 637, 893)(582, 838, 643, 899, 595, 851, 663, 919, 724, 980, 748, 1004, 706, 962, 640, 896)(586, 842, 650, 906, 717, 973, 756, 1012, 734, 990, 676, 932, 605, 861, 651, 907)(588, 844, 653, 909, 720, 976, 664, 920, 597, 853, 666, 922, 721, 977, 654, 910)(592, 848, 660, 916, 723, 979, 758, 1014, 733, 989, 681, 937, 609, 865, 658, 914)(602, 858, 659, 915, 627, 883, 693, 949, 743, 999, 759, 1015, 727, 983, 672, 928)(604, 860, 675, 931, 732, 988, 696, 952, 624, 880, 695, 951, 731, 987, 673, 929)(622, 878, 694, 950, 633, 889, 700, 956, 745, 1001, 763, 1019, 740, 996, 692, 948)(638, 894, 702, 958, 746, 1002, 711, 967, 647, 903, 713, 969, 747, 1003, 703, 959)(662, 918, 726, 982, 668, 924, 729, 985, 760, 1016, 766, 1022, 757, 1013, 725, 981)(677, 933, 735, 991, 761, 1017, 767, 1023, 762, 1018, 738, 994, 683, 939, 736, 992)(709, 965, 752, 1008, 715, 971, 755, 1011, 765, 1021, 768, 1024, 764, 1020, 751, 1007)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 566)(26, 567)(27, 570)(28, 572)(29, 573)(30, 525)(31, 577)(32, 526)(33, 581)(34, 583)(35, 584)(36, 528)(37, 530)(38, 591)(39, 593)(40, 594)(41, 596)(42, 531)(43, 600)(44, 532)(45, 603)(46, 533)(47, 607)(48, 534)(49, 611)(50, 535)(51, 537)(52, 544)(53, 618)(54, 619)(55, 621)(56, 623)(57, 540)(58, 610)(59, 628)(60, 620)(61, 630)(62, 631)(63, 608)(64, 542)(65, 635)(66, 543)(67, 617)(68, 546)(69, 641)(70, 643)(71, 644)(72, 646)(73, 547)(74, 650)(75, 548)(76, 653)(77, 549)(78, 551)(79, 556)(80, 660)(81, 568)(82, 661)(83, 663)(84, 665)(85, 666)(86, 578)(87, 554)(88, 670)(89, 555)(90, 659)(91, 674)(92, 675)(93, 651)(94, 558)(95, 679)(96, 559)(97, 658)(98, 560)(99, 682)(100, 561)(101, 562)(102, 655)(103, 563)(104, 565)(105, 642)(106, 688)(107, 690)(108, 691)(109, 686)(110, 694)(111, 689)(112, 695)(113, 569)(114, 571)(115, 693)(116, 645)(117, 574)(118, 671)(119, 684)(120, 575)(121, 700)(122, 576)(123, 701)(124, 678)(125, 579)(126, 702)(127, 580)(128, 582)(129, 587)(130, 707)(131, 595)(132, 708)(133, 710)(134, 712)(135, 713)(136, 601)(137, 585)(138, 717)(139, 586)(140, 616)(141, 720)(142, 588)(143, 589)(144, 704)(145, 590)(146, 592)(147, 627)(148, 723)(149, 614)(150, 726)(151, 724)(152, 597)(153, 718)(154, 721)(155, 598)(156, 729)(157, 599)(158, 730)(159, 634)(160, 602)(161, 604)(162, 636)(163, 732)(164, 605)(165, 735)(166, 606)(167, 737)(168, 716)(169, 609)(170, 629)(171, 736)(172, 612)(173, 626)(174, 613)(175, 615)(176, 742)(177, 722)(178, 741)(179, 705)(180, 622)(181, 743)(182, 633)(183, 731)(184, 624)(185, 625)(186, 637)(187, 632)(188, 745)(189, 728)(190, 746)(191, 638)(192, 639)(193, 697)(194, 640)(195, 749)(196, 656)(197, 752)(198, 750)(199, 647)(200, 680)(201, 747)(202, 648)(203, 755)(204, 649)(205, 756)(206, 669)(207, 652)(208, 664)(209, 654)(210, 657)(211, 758)(212, 748)(213, 662)(214, 668)(215, 672)(216, 667)(217, 760)(218, 754)(219, 673)(220, 696)(221, 681)(222, 676)(223, 761)(224, 677)(225, 699)(226, 683)(227, 685)(228, 692)(229, 687)(230, 753)(231, 759)(232, 698)(233, 763)(234, 711)(235, 703)(236, 706)(237, 744)(238, 739)(239, 709)(240, 715)(241, 719)(242, 714)(243, 765)(244, 734)(245, 725)(246, 733)(247, 727)(248, 766)(249, 767)(250, 738)(251, 740)(252, 751)(253, 768)(254, 757)(255, 762)(256, 764)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2270
Graph:: bipartite
	v = 96 e = 512 f = 384
	degree seq :: [ 8^64, 16^32 ]

E17.2270 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|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^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3, (Y3^-1 * Y2 * Y3^3 * Y2)^2, Y3^-2 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)(513, 769, 514, 770)(515, 771, 519, 775)(516, 772, 521, 777)(517, 773, 523, 779)(518, 774, 525, 781)(520, 776, 529, 785)(522, 778, 533, 789)(524, 780, 537, 793)(526, 782, 541, 797)(527, 783, 540, 796)(528, 784, 544, 800)(530, 786, 548, 804)(531, 787, 550, 806)(532, 788, 535, 791)(534, 790, 555, 811)(536, 792, 557, 813)(538, 794, 561, 817)(539, 795, 563, 819)(542, 798, 568, 824)(543, 799, 569, 825)(545, 801, 573, 829)(546, 802, 572, 828)(547, 803, 576, 832)(549, 805, 580, 836)(551, 807, 583, 839)(552, 808, 585, 841)(553, 809, 587, 843)(554, 810, 581, 837)(556, 812, 592, 848)(558, 814, 596, 852)(559, 815, 595, 851)(560, 816, 599, 855)(562, 818, 603, 859)(564, 820, 606, 862)(565, 821, 608, 864)(566, 822, 610, 866)(567, 823, 604, 860)(570, 826, 617, 873)(571, 827, 619, 875)(574, 830, 602, 858)(575, 831, 598, 854)(577, 833, 611, 867)(578, 834, 626, 882)(579, 835, 597, 853)(582, 838, 633, 889)(584, 840, 613, 869)(586, 842, 637, 893)(588, 844, 600, 856)(589, 845, 612, 868)(590, 846, 607, 863)(591, 847, 638, 894)(593, 849, 645, 901)(594, 850, 647, 903)(601, 857, 654, 910)(605, 861, 661, 917)(609, 865, 665, 921)(614, 870, 666, 922)(615, 871, 664, 920)(616, 872, 672, 928)(618, 874, 658, 914)(620, 876, 653, 909)(621, 877, 677, 933)(622, 878, 650, 906)(623, 879, 675, 931)(624, 880, 680, 936)(625, 881, 648, 904)(627, 883, 674, 930)(628, 884, 671, 927)(629, 885, 679, 935)(630, 886, 646, 902)(631, 887, 663, 919)(632, 888, 687, 943)(634, 890, 662, 918)(635, 891, 659, 915)(636, 892, 643, 899)(639, 895, 690, 946)(640, 896, 693, 949)(641, 897, 688, 944)(642, 898, 689, 945)(644, 900, 697, 953)(649, 905, 702, 958)(651, 907, 700, 956)(652, 908, 705, 961)(655, 911, 699, 955)(656, 912, 696, 952)(657, 913, 704, 960)(660, 916, 712, 968)(667, 923, 715, 971)(668, 924, 718, 974)(669, 925, 713, 969)(670, 926, 714, 970)(673, 929, 722, 978)(676, 932, 701, 957)(678, 934, 725, 981)(681, 937, 710, 966)(682, 938, 728, 984)(683, 939, 720, 976)(684, 940, 727, 983)(685, 941, 706, 962)(686, 942, 717, 973)(691, 947, 724, 980)(692, 948, 711, 967)(694, 950, 733, 989)(695, 951, 708, 964)(698, 954, 736, 992)(703, 959, 739, 995)(707, 963, 742, 998)(709, 965, 741, 997)(716, 972, 738, 994)(719, 975, 747, 1003)(721, 977, 749, 1005)(723, 979, 746, 1002)(726, 982, 752, 1008)(729, 985, 744, 1000)(730, 986, 743, 999)(731, 987, 748, 1004)(732, 988, 737, 993)(734, 990, 745, 1001)(735, 991, 756, 1012)(740, 996, 759, 1015)(750, 1006, 760, 1016)(751, 1007, 763, 1019)(753, 1009, 757, 1013)(754, 1010, 764, 1020)(755, 1011, 762, 1018)(758, 1014, 765, 1021)(761, 1017, 766, 1022)(767, 1023, 768, 1024)
	L = (1, 515)(2, 517)(3, 520)(4, 513)(5, 524)(6, 514)(7, 527)(8, 530)(9, 531)(10, 516)(11, 535)(12, 538)(13, 539)(14, 518)(15, 543)(16, 519)(17, 546)(18, 549)(19, 551)(20, 521)(21, 553)(22, 522)(23, 556)(24, 523)(25, 559)(26, 562)(27, 564)(28, 525)(29, 566)(30, 526)(31, 570)(32, 571)(33, 528)(34, 575)(35, 529)(36, 578)(37, 534)(38, 581)(39, 584)(40, 532)(41, 588)(42, 533)(43, 590)(44, 593)(45, 594)(46, 536)(47, 598)(48, 537)(49, 601)(50, 542)(51, 604)(52, 607)(53, 540)(54, 611)(55, 541)(56, 613)(57, 615)(58, 618)(59, 620)(60, 544)(61, 622)(62, 545)(63, 624)(64, 625)(65, 547)(66, 628)(67, 548)(68, 630)(69, 632)(70, 550)(71, 616)(72, 635)(73, 623)(74, 552)(75, 638)(76, 639)(77, 554)(78, 641)(79, 555)(80, 643)(81, 646)(82, 648)(83, 557)(84, 650)(85, 558)(86, 652)(87, 653)(88, 560)(89, 656)(90, 561)(91, 658)(92, 660)(93, 563)(94, 644)(95, 663)(96, 651)(97, 565)(98, 666)(99, 667)(100, 567)(101, 669)(102, 568)(103, 671)(104, 569)(105, 673)(106, 574)(107, 675)(108, 587)(109, 572)(110, 679)(111, 573)(112, 681)(113, 582)(114, 576)(115, 577)(116, 683)(117, 579)(118, 685)(119, 580)(120, 682)(121, 676)(122, 583)(123, 586)(124, 585)(125, 690)(126, 678)(127, 692)(128, 589)(129, 694)(130, 591)(131, 696)(132, 592)(133, 698)(134, 597)(135, 700)(136, 610)(137, 595)(138, 704)(139, 596)(140, 706)(141, 605)(142, 599)(143, 600)(144, 708)(145, 602)(146, 710)(147, 603)(148, 707)(149, 701)(150, 606)(151, 609)(152, 608)(153, 715)(154, 703)(155, 717)(156, 612)(157, 719)(158, 614)(159, 721)(160, 633)(161, 712)(162, 617)(163, 724)(164, 619)(165, 716)(166, 621)(167, 726)(168, 702)(169, 627)(170, 626)(171, 729)(172, 629)(173, 730)(174, 631)(175, 718)(176, 634)(177, 636)(178, 732)(179, 637)(180, 640)(181, 733)(182, 734)(183, 642)(184, 735)(185, 661)(186, 687)(187, 645)(188, 738)(189, 647)(190, 691)(191, 649)(192, 740)(193, 677)(194, 655)(195, 654)(196, 743)(197, 657)(198, 744)(199, 659)(200, 693)(201, 662)(202, 664)(203, 746)(204, 665)(205, 668)(206, 747)(207, 748)(208, 670)(209, 688)(210, 672)(211, 674)(212, 750)(213, 752)(214, 689)(215, 680)(216, 753)(217, 684)(218, 755)(219, 686)(220, 754)(221, 751)(222, 695)(223, 713)(224, 697)(225, 699)(226, 757)(227, 759)(228, 714)(229, 705)(230, 760)(231, 709)(232, 762)(233, 711)(234, 761)(235, 758)(236, 720)(237, 728)(238, 722)(239, 723)(240, 764)(241, 725)(242, 727)(243, 731)(244, 742)(245, 736)(246, 737)(247, 766)(248, 739)(249, 741)(250, 745)(251, 749)(252, 767)(253, 756)(254, 768)(255, 763)(256, 765)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2269
Graph:: simple bipartite
	v = 384 e = 512 f = 96
	degree seq :: [ 2^256, 4^128 ]

E17.2271 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|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)^4, Y1^8, Y1 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2, (Y3 * Y1^3 * Y3 * Y1^-1)^2, (Y1^-1 * Y3 * Y1^-2)^4 ]
Map:: polytopal
	R = (1, 257, 2, 258, 5, 261, 11, 267, 23, 279, 22, 278, 10, 266, 4, 260)(3, 259, 7, 263, 15, 271, 31, 287, 57, 313, 37, 293, 18, 274, 8, 264)(6, 262, 13, 269, 27, 283, 51, 307, 92, 348, 56, 312, 30, 286, 14, 270)(9, 265, 19, 275, 38, 294, 69, 325, 120, 376, 74, 330, 40, 296, 20, 276)(12, 268, 25, 281, 47, 303, 86, 342, 140, 396, 91, 347, 50, 306, 26, 282)(16, 272, 33, 289, 61, 317, 108, 364, 132, 388, 84, 340, 63, 319, 34, 290)(17, 273, 35, 291, 64, 320, 112, 368, 133, 389, 97, 353, 53, 309, 28, 284)(21, 277, 41, 297, 75, 331, 126, 382, 180, 436, 128, 384, 77, 333, 42, 298)(24, 280, 45, 301, 82, 338, 135, 391, 188, 444, 139, 395, 85, 341, 46, 302)(29, 285, 54, 310, 98, 354, 76, 332, 127, 383, 144, 400, 88, 344, 48, 304)(32, 288, 59, 315, 87, 343, 142, 398, 185, 441, 163, 419, 107, 363, 60, 316)(36, 292, 66, 322, 90, 346, 146, 402, 186, 442, 172, 428, 117, 373, 67, 323)(39, 295, 71, 327, 122, 378, 137, 393, 83, 339, 49, 305, 89, 345, 72, 328)(43, 299, 78, 334, 129, 385, 182, 438, 222, 478, 183, 439, 130, 386, 79, 335)(44, 300, 80, 336, 131, 387, 184, 440, 223, 479, 187, 443, 134, 390, 81, 337)(52, 308, 94, 350, 136, 392, 190, 446, 175, 431, 121, 377, 70, 326, 95, 351)(55, 311, 100, 356, 138, 394, 192, 448, 177, 433, 124, 380, 73, 329, 101, 357)(58, 314, 104, 360, 160, 416, 210, 466, 224, 480, 208, 464, 158, 414, 102, 358)(62, 318, 110, 366, 145, 401, 116, 372, 171, 427, 213, 469, 162, 418, 105, 361)(65, 321, 114, 370, 169, 425, 212, 468, 161, 417, 106, 362, 154, 410, 115, 371)(68, 324, 118, 374, 173, 429, 219, 475, 225, 481, 189, 445, 174, 430, 119, 375)(93, 349, 149, 405, 201, 457, 181, 437, 221, 477, 234, 490, 200, 456, 147, 403)(96, 352, 152, 408, 111, 367, 157, 413, 207, 463, 236, 492, 203, 459, 150, 406)(99, 355, 155, 411, 205, 461, 235, 491, 202, 458, 151, 407, 123, 379, 156, 412)(103, 359, 148, 404, 194, 450, 226, 482, 244, 500, 237, 493, 209, 465, 159, 415)(109, 365, 165, 421, 211, 467, 238, 494, 217, 473, 168, 424, 113, 369, 166, 422)(125, 381, 178, 434, 220, 476, 230, 486, 193, 449, 141, 397, 195, 451, 179, 435)(143, 399, 197, 453, 153, 409, 199, 455, 233, 489, 248, 504, 231, 487, 196, 452)(164, 420, 215, 471, 176, 432, 218, 474, 243, 499, 252, 508, 241, 497, 214, 470)(167, 423, 204, 460, 232, 488, 246, 502, 242, 498, 216, 472, 170, 426, 206, 462)(191, 447, 228, 484, 198, 454, 229, 485, 247, 503, 253, 509, 245, 501, 227, 483)(239, 495, 249, 505, 240, 496, 250, 506, 254, 510, 256, 512, 255, 511, 251, 507)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 518)(3, 513)(4, 521)(5, 524)(6, 514)(7, 528)(8, 529)(9, 516)(10, 533)(11, 536)(12, 517)(13, 540)(14, 541)(15, 544)(16, 519)(17, 520)(18, 548)(19, 551)(20, 545)(21, 522)(22, 555)(23, 556)(24, 523)(25, 560)(26, 561)(27, 564)(28, 525)(29, 526)(30, 567)(31, 570)(32, 527)(33, 532)(34, 574)(35, 577)(36, 530)(37, 580)(38, 582)(39, 531)(40, 585)(41, 588)(42, 583)(43, 534)(44, 535)(45, 595)(46, 596)(47, 599)(48, 537)(49, 538)(50, 602)(51, 605)(52, 539)(53, 608)(54, 611)(55, 542)(56, 614)(57, 615)(58, 543)(59, 617)(60, 618)(61, 621)(62, 546)(63, 623)(64, 625)(65, 547)(66, 628)(67, 626)(68, 549)(69, 630)(70, 550)(71, 554)(72, 635)(73, 552)(74, 637)(75, 619)(76, 553)(77, 629)(78, 624)(79, 639)(80, 644)(81, 645)(82, 648)(83, 557)(84, 558)(85, 650)(86, 653)(87, 559)(88, 655)(89, 657)(90, 562)(91, 659)(92, 660)(93, 563)(94, 662)(95, 663)(96, 565)(97, 665)(98, 666)(99, 566)(100, 669)(101, 667)(102, 568)(103, 569)(104, 673)(105, 571)(106, 572)(107, 587)(108, 676)(109, 573)(110, 679)(111, 575)(112, 590)(113, 576)(114, 579)(115, 682)(116, 578)(117, 589)(118, 581)(119, 683)(120, 671)(121, 680)(122, 688)(123, 584)(124, 677)(125, 586)(126, 690)(127, 591)(128, 693)(129, 687)(130, 689)(131, 697)(132, 592)(133, 593)(134, 698)(135, 701)(136, 594)(137, 703)(138, 597)(139, 705)(140, 706)(141, 598)(142, 708)(143, 600)(144, 710)(145, 601)(146, 711)(147, 603)(148, 604)(149, 714)(150, 606)(151, 607)(152, 716)(153, 609)(154, 610)(155, 613)(156, 718)(157, 612)(158, 719)(159, 632)(160, 723)(161, 616)(162, 707)(163, 726)(164, 620)(165, 636)(166, 728)(167, 622)(168, 633)(169, 713)(170, 627)(171, 631)(172, 730)(173, 729)(174, 715)(175, 641)(176, 634)(177, 642)(178, 638)(179, 717)(180, 721)(181, 640)(182, 733)(183, 722)(184, 736)(185, 643)(186, 646)(187, 737)(188, 738)(189, 647)(190, 739)(191, 649)(192, 741)(193, 651)(194, 652)(195, 674)(196, 654)(197, 744)(198, 656)(199, 658)(200, 745)(201, 681)(202, 661)(203, 686)(204, 664)(205, 691)(206, 668)(207, 670)(208, 743)(209, 692)(210, 695)(211, 672)(212, 751)(213, 752)(214, 675)(215, 754)(216, 678)(217, 685)(218, 684)(219, 755)(220, 753)(221, 694)(222, 749)(223, 756)(224, 696)(225, 699)(226, 700)(227, 702)(228, 758)(229, 704)(230, 759)(231, 720)(232, 709)(233, 712)(234, 757)(235, 761)(236, 762)(237, 734)(238, 763)(239, 724)(240, 725)(241, 732)(242, 727)(243, 731)(244, 735)(245, 746)(246, 740)(247, 742)(248, 766)(249, 747)(250, 748)(251, 750)(252, 767)(253, 768)(254, 760)(255, 764)(256, 765)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2268
Graph:: simple bipartite
	v = 288 e = 512 f = 192
	degree seq :: [ 2^256, 16^32 ]

E17.2272 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^4, Y2^8, (Y3 * Y2^-1)^4, Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2, (Y2^-1 * Y1 * Y2^3 * Y1)^2, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 11, 267)(6, 262, 13, 269)(8, 264, 17, 273)(10, 266, 21, 277)(12, 268, 25, 281)(14, 270, 29, 285)(15, 271, 28, 284)(16, 272, 32, 288)(18, 274, 36, 292)(19, 275, 38, 294)(20, 276, 23, 279)(22, 278, 43, 299)(24, 280, 45, 301)(26, 282, 49, 305)(27, 283, 51, 307)(30, 286, 56, 312)(31, 287, 57, 313)(33, 289, 61, 317)(34, 290, 60, 316)(35, 291, 64, 320)(37, 293, 68, 324)(39, 295, 71, 327)(40, 296, 73, 329)(41, 297, 75, 331)(42, 298, 69, 325)(44, 300, 80, 336)(46, 302, 84, 340)(47, 303, 83, 339)(48, 304, 87, 343)(50, 306, 91, 347)(52, 308, 94, 350)(53, 309, 96, 352)(54, 310, 98, 354)(55, 311, 92, 348)(58, 314, 105, 361)(59, 315, 107, 363)(62, 318, 90, 346)(63, 319, 86, 342)(65, 321, 99, 355)(66, 322, 114, 370)(67, 323, 85, 341)(70, 326, 121, 377)(72, 328, 101, 357)(74, 330, 125, 381)(76, 332, 88, 344)(77, 333, 100, 356)(78, 334, 95, 351)(79, 335, 126, 382)(81, 337, 133, 389)(82, 338, 135, 391)(89, 345, 142, 398)(93, 349, 149, 405)(97, 353, 153, 409)(102, 358, 154, 410)(103, 359, 152, 408)(104, 360, 160, 416)(106, 362, 146, 402)(108, 364, 141, 397)(109, 365, 165, 421)(110, 366, 138, 394)(111, 367, 163, 419)(112, 368, 168, 424)(113, 369, 136, 392)(115, 371, 162, 418)(116, 372, 159, 415)(117, 373, 167, 423)(118, 374, 134, 390)(119, 375, 151, 407)(120, 376, 175, 431)(122, 378, 150, 406)(123, 379, 147, 403)(124, 380, 131, 387)(127, 383, 178, 434)(128, 384, 181, 437)(129, 385, 176, 432)(130, 386, 177, 433)(132, 388, 185, 441)(137, 393, 190, 446)(139, 395, 188, 444)(140, 396, 193, 449)(143, 399, 187, 443)(144, 400, 184, 440)(145, 401, 192, 448)(148, 404, 200, 456)(155, 411, 203, 459)(156, 412, 206, 462)(157, 413, 201, 457)(158, 414, 202, 458)(161, 417, 210, 466)(164, 420, 189, 445)(166, 422, 213, 469)(169, 425, 198, 454)(170, 426, 216, 472)(171, 427, 208, 464)(172, 428, 215, 471)(173, 429, 194, 450)(174, 430, 205, 461)(179, 435, 212, 468)(180, 436, 199, 455)(182, 438, 221, 477)(183, 439, 196, 452)(186, 442, 224, 480)(191, 447, 227, 483)(195, 451, 230, 486)(197, 453, 229, 485)(204, 460, 226, 482)(207, 463, 235, 491)(209, 465, 237, 493)(211, 467, 234, 490)(214, 470, 240, 496)(217, 473, 232, 488)(218, 474, 231, 487)(219, 475, 236, 492)(220, 476, 225, 481)(222, 478, 233, 489)(223, 479, 244, 500)(228, 484, 247, 503)(238, 494, 248, 504)(239, 495, 251, 507)(241, 497, 245, 501)(242, 498, 252, 508)(243, 499, 250, 506)(246, 502, 253, 509)(249, 505, 254, 510)(255, 511, 256, 512)(513, 769, 515, 771, 520, 776, 530, 786, 549, 805, 534, 790, 522, 778, 516, 772)(514, 770, 517, 773, 524, 780, 538, 794, 562, 818, 542, 798, 526, 782, 518, 774)(519, 775, 527, 783, 543, 799, 570, 826, 618, 874, 574, 830, 545, 801, 528, 784)(521, 777, 531, 787, 551, 807, 584, 840, 635, 891, 586, 842, 552, 808, 532, 788)(523, 779, 535, 791, 556, 812, 593, 849, 646, 902, 597, 853, 558, 814, 536, 792)(525, 781, 539, 795, 564, 820, 607, 863, 663, 919, 609, 865, 565, 821, 540, 796)(529, 785, 546, 802, 575, 831, 624, 880, 681, 937, 627, 883, 577, 833, 547, 803)(533, 789, 553, 809, 588, 844, 639, 895, 692, 948, 640, 896, 589, 845, 554, 810)(537, 793, 559, 815, 598, 854, 652, 908, 706, 962, 655, 911, 600, 856, 560, 816)(541, 797, 566, 822, 611, 867, 667, 923, 717, 973, 668, 924, 612, 868, 567, 823)(544, 800, 571, 827, 620, 876, 587, 843, 638, 894, 678, 934, 621, 877, 572, 828)(548, 804, 578, 834, 628, 884, 683, 939, 729, 985, 684, 940, 629, 885, 579, 835)(550, 806, 581, 837, 632, 888, 682, 938, 626, 882, 576, 832, 625, 881, 582, 838)(555, 811, 590, 846, 641, 897, 694, 950, 734, 990, 695, 951, 642, 898, 591, 847)(557, 813, 594, 850, 648, 904, 610, 866, 666, 922, 703, 959, 649, 905, 595, 851)(561, 817, 601, 857, 656, 912, 708, 964, 743, 999, 709, 965, 657, 913, 602, 858)(563, 819, 604, 860, 660, 916, 707, 963, 654, 910, 599, 855, 653, 909, 605, 861)(568, 824, 613, 869, 669, 925, 719, 975, 748, 1004, 720, 976, 670, 926, 614, 870)(569, 825, 615, 871, 671, 927, 721, 977, 688, 944, 634, 890, 583, 839, 616, 872)(573, 829, 622, 878, 679, 935, 726, 982, 689, 945, 636, 892, 585, 841, 623, 879)(580, 836, 630, 886, 685, 941, 730, 986, 755, 1011, 731, 987, 686, 942, 631, 887)(592, 848, 643, 899, 696, 952, 735, 991, 713, 969, 662, 918, 606, 862, 644, 900)(596, 852, 650, 906, 704, 960, 740, 996, 714, 970, 664, 920, 608, 864, 651, 907)(603, 859, 658, 914, 710, 966, 744, 1000, 762, 1018, 745, 1001, 711, 967, 659, 915)(617, 873, 673, 929, 712, 968, 693, 949, 733, 989, 751, 1007, 723, 979, 674, 930)(619, 875, 675, 931, 724, 980, 750, 1006, 722, 978, 672, 928, 633, 889, 676, 932)(637, 893, 690, 946, 732, 988, 754, 1010, 727, 983, 680, 936, 702, 958, 691, 947)(645, 901, 698, 954, 687, 943, 718, 974, 747, 1003, 758, 1014, 737, 993, 699, 955)(647, 903, 700, 956, 738, 994, 757, 1013, 736, 992, 697, 953, 661, 917, 701, 957)(665, 921, 715, 971, 746, 1002, 761, 1017, 741, 997, 705, 961, 677, 933, 716, 972)(725, 981, 752, 1008, 764, 1020, 767, 1023, 763, 1019, 749, 1005, 728, 984, 753, 1009)(739, 995, 759, 1015, 766, 1022, 768, 1024, 765, 1021, 756, 1012, 742, 998, 760, 1016)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 523)(6, 525)(7, 515)(8, 529)(9, 516)(10, 533)(11, 517)(12, 537)(13, 518)(14, 541)(15, 540)(16, 544)(17, 520)(18, 548)(19, 550)(20, 535)(21, 522)(22, 555)(23, 532)(24, 557)(25, 524)(26, 561)(27, 563)(28, 527)(29, 526)(30, 568)(31, 569)(32, 528)(33, 573)(34, 572)(35, 576)(36, 530)(37, 580)(38, 531)(39, 583)(40, 585)(41, 587)(42, 581)(43, 534)(44, 592)(45, 536)(46, 596)(47, 595)(48, 599)(49, 538)(50, 603)(51, 539)(52, 606)(53, 608)(54, 610)(55, 604)(56, 542)(57, 543)(58, 617)(59, 619)(60, 546)(61, 545)(62, 602)(63, 598)(64, 547)(65, 611)(66, 626)(67, 597)(68, 549)(69, 554)(70, 633)(71, 551)(72, 613)(73, 552)(74, 637)(75, 553)(76, 600)(77, 612)(78, 607)(79, 638)(80, 556)(81, 645)(82, 647)(83, 559)(84, 558)(85, 579)(86, 575)(87, 560)(88, 588)(89, 654)(90, 574)(91, 562)(92, 567)(93, 661)(94, 564)(95, 590)(96, 565)(97, 665)(98, 566)(99, 577)(100, 589)(101, 584)(102, 666)(103, 664)(104, 672)(105, 570)(106, 658)(107, 571)(108, 653)(109, 677)(110, 650)(111, 675)(112, 680)(113, 648)(114, 578)(115, 674)(116, 671)(117, 679)(118, 646)(119, 663)(120, 687)(121, 582)(122, 662)(123, 659)(124, 643)(125, 586)(126, 591)(127, 690)(128, 693)(129, 688)(130, 689)(131, 636)(132, 697)(133, 593)(134, 630)(135, 594)(136, 625)(137, 702)(138, 622)(139, 700)(140, 705)(141, 620)(142, 601)(143, 699)(144, 696)(145, 704)(146, 618)(147, 635)(148, 712)(149, 605)(150, 634)(151, 631)(152, 615)(153, 609)(154, 614)(155, 715)(156, 718)(157, 713)(158, 714)(159, 628)(160, 616)(161, 722)(162, 627)(163, 623)(164, 701)(165, 621)(166, 725)(167, 629)(168, 624)(169, 710)(170, 728)(171, 720)(172, 727)(173, 706)(174, 717)(175, 632)(176, 641)(177, 642)(178, 639)(179, 724)(180, 711)(181, 640)(182, 733)(183, 708)(184, 656)(185, 644)(186, 736)(187, 655)(188, 651)(189, 676)(190, 649)(191, 739)(192, 657)(193, 652)(194, 685)(195, 742)(196, 695)(197, 741)(198, 681)(199, 692)(200, 660)(201, 669)(202, 670)(203, 667)(204, 738)(205, 686)(206, 668)(207, 747)(208, 683)(209, 749)(210, 673)(211, 746)(212, 691)(213, 678)(214, 752)(215, 684)(216, 682)(217, 744)(218, 743)(219, 748)(220, 737)(221, 694)(222, 745)(223, 756)(224, 698)(225, 732)(226, 716)(227, 703)(228, 759)(229, 709)(230, 707)(231, 730)(232, 729)(233, 734)(234, 723)(235, 719)(236, 731)(237, 721)(238, 760)(239, 763)(240, 726)(241, 757)(242, 764)(243, 762)(244, 735)(245, 753)(246, 765)(247, 740)(248, 750)(249, 766)(250, 755)(251, 751)(252, 754)(253, 758)(254, 761)(255, 768)(256, 767)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2273
Graph:: bipartite
	v = 160 e = 512 f = 320
	degree seq :: [ 4^128, 16^32 ]

E17.2273 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 396>$ (small group id <256, 396>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-2 * Y1, Y3^3 * Y1^-1 * Y3^-1 * Y1 * Y3^-4 * Y1^-2, Y3^-1 * Y1^2 * Y3^-1 * Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y3^-1, Y3^-2 * Y1^-1 * Y3^3 * Y1 * Y3^-1 * Y1^-1 * Y3^2 * Y1^-1, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 62, 318, 29, 285)(17, 273, 37, 293, 76, 332, 39, 295)(20, 276, 43, 299, 85, 341, 41, 297)(22, 278, 47, 303, 92, 348, 45, 301)(24, 280, 51, 307, 102, 358, 53, 309)(26, 282, 46, 302, 93, 349, 56, 312)(27, 283, 57, 313, 112, 368, 59, 315)(30, 286, 63, 319, 83, 339, 40, 296)(32, 288, 67, 323, 124, 380, 65, 321)(33, 289, 68, 324, 126, 382, 70, 326)(36, 292, 74, 330, 135, 391, 72, 328)(38, 294, 78, 334, 144, 400, 80, 336)(42, 298, 86, 342, 133, 389, 71, 327)(44, 300, 90, 346, 159, 415, 88, 344)(48, 304, 97, 353, 168, 424, 95, 351)(50, 306, 84, 340, 152, 408, 99, 355)(52, 308, 104, 360, 129, 385, 105, 361)(54, 310, 100, 356, 171, 427, 108, 364)(55, 311, 81, 337, 142, 398, 110, 366)(58, 314, 114, 370, 174, 430, 115, 371)(60, 316, 73, 329, 136, 392, 107, 363)(61, 317, 117, 373, 183, 439, 113, 369)(64, 320, 121, 377, 163, 419, 96, 352)(66, 322, 87, 343, 156, 412, 119, 375)(69, 325, 128, 384, 193, 449, 130, 386)(75, 331, 140, 396, 206, 462, 138, 394)(77, 333, 134, 390, 199, 455, 141, 397)(79, 335, 146, 402, 98, 354, 147, 403)(82, 338, 131, 387, 191, 447, 150, 406)(89, 345, 137, 393, 203, 459, 154, 410)(91, 347, 161, 417, 190, 446, 127, 383)(94, 350, 165, 421, 201, 457, 139, 395)(101, 357, 173, 429, 205, 461, 153, 409)(103, 359, 167, 423, 200, 456, 143, 399)(106, 362, 149, 405, 213, 469, 177, 433)(109, 365, 180, 436, 229, 485, 181, 437)(111, 367, 164, 420, 221, 477, 176, 432)(116, 372, 184, 440, 197, 453, 132, 388)(118, 374, 185, 441, 194, 450, 158, 414)(120, 376, 186, 442, 211, 467, 151, 407)(122, 378, 160, 416, 216, 472, 188, 444)(123, 379, 162, 418, 192, 448, 145, 401)(125, 381, 187, 443, 223, 479, 166, 422)(148, 404, 196, 452, 239, 495, 212, 468)(155, 411, 215, 471, 237, 493, 198, 454)(157, 413, 207, 463, 242, 498, 217, 473)(169, 425, 222, 478, 243, 499, 204, 460)(170, 426, 208, 464, 234, 490, 219, 475)(172, 428, 214, 470, 235, 491, 224, 480)(175, 431, 228, 484, 249, 505, 225, 481)(178, 434, 202, 458, 241, 497, 231, 487)(179, 435, 226, 482, 238, 494, 195, 451)(182, 438, 209, 465, 240, 496, 220, 476)(189, 445, 210, 466, 245, 501, 233, 489)(218, 474, 236, 492, 252, 508, 248, 504)(227, 483, 250, 506, 253, 509, 244, 500)(230, 486, 246, 502, 232, 488, 247, 503)(251, 507, 254, 510, 256, 512, 255, 511)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 566)(26, 567)(27, 570)(28, 572)(29, 573)(30, 525)(31, 577)(32, 526)(33, 581)(34, 583)(35, 584)(36, 528)(37, 530)(38, 591)(39, 593)(40, 594)(41, 596)(42, 531)(43, 600)(44, 532)(45, 603)(46, 533)(47, 607)(48, 534)(49, 611)(50, 535)(51, 537)(52, 544)(53, 618)(54, 619)(55, 621)(56, 623)(57, 540)(58, 610)(59, 628)(60, 620)(61, 630)(62, 631)(63, 608)(64, 542)(65, 635)(66, 543)(67, 617)(68, 546)(69, 641)(70, 643)(71, 644)(72, 646)(73, 547)(74, 650)(75, 548)(76, 653)(77, 549)(78, 551)(79, 556)(80, 660)(81, 568)(82, 661)(83, 663)(84, 665)(85, 666)(86, 578)(87, 554)(88, 670)(89, 555)(90, 659)(91, 674)(92, 675)(93, 651)(94, 558)(95, 679)(96, 559)(97, 658)(98, 560)(99, 682)(100, 561)(101, 562)(102, 655)(103, 563)(104, 565)(105, 642)(106, 688)(107, 690)(108, 691)(109, 686)(110, 694)(111, 689)(112, 695)(113, 569)(114, 571)(115, 693)(116, 645)(117, 574)(118, 671)(119, 684)(120, 575)(121, 700)(122, 576)(123, 701)(124, 678)(125, 579)(126, 702)(127, 580)(128, 582)(129, 587)(130, 707)(131, 595)(132, 708)(133, 710)(134, 712)(135, 713)(136, 601)(137, 585)(138, 717)(139, 586)(140, 616)(141, 720)(142, 588)(143, 589)(144, 704)(145, 590)(146, 592)(147, 627)(148, 723)(149, 614)(150, 726)(151, 724)(152, 597)(153, 718)(154, 721)(155, 598)(156, 729)(157, 599)(158, 730)(159, 634)(160, 602)(161, 604)(162, 636)(163, 732)(164, 605)(165, 735)(166, 606)(167, 737)(168, 716)(169, 609)(170, 629)(171, 736)(172, 612)(173, 626)(174, 613)(175, 615)(176, 742)(177, 722)(178, 741)(179, 705)(180, 622)(181, 743)(182, 633)(183, 731)(184, 624)(185, 625)(186, 637)(187, 632)(188, 745)(189, 728)(190, 746)(191, 638)(192, 639)(193, 697)(194, 640)(195, 749)(196, 656)(197, 752)(198, 750)(199, 647)(200, 680)(201, 747)(202, 648)(203, 755)(204, 649)(205, 756)(206, 669)(207, 652)(208, 664)(209, 654)(210, 657)(211, 758)(212, 748)(213, 662)(214, 668)(215, 672)(216, 667)(217, 760)(218, 754)(219, 673)(220, 696)(221, 681)(222, 676)(223, 761)(224, 677)(225, 699)(226, 683)(227, 685)(228, 692)(229, 687)(230, 753)(231, 759)(232, 698)(233, 763)(234, 711)(235, 703)(236, 706)(237, 744)(238, 739)(239, 709)(240, 715)(241, 719)(242, 714)(243, 765)(244, 734)(245, 725)(246, 733)(247, 727)(248, 766)(249, 767)(250, 738)(251, 740)(252, 751)(253, 768)(254, 757)(255, 762)(256, 764)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2272
Graph:: simple bipartite
	v = 320 e = 512 f = 160
	degree seq :: [ 2^256, 8^64 ]

E17.2274 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^4, T1^8, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-2 * T2)^4, (T1^-2 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 23, 22, 10, 4)(3, 7, 15, 31, 57, 37, 18, 8)(6, 13, 27, 51, 92, 56, 30, 14)(9, 19, 38, 69, 120, 74, 40, 20)(12, 25, 47, 86, 140, 91, 50, 26)(16, 33, 61, 108, 132, 84, 63, 34)(17, 35, 64, 112, 133, 97, 53, 28)(21, 41, 75, 126, 184, 128, 77, 42)(24, 45, 82, 135, 192, 139, 85, 46)(29, 54, 98, 76, 127, 144, 88, 48)(32, 59, 105, 162, 189, 146, 90, 60)(36, 66, 116, 173, 190, 142, 87, 67)(39, 71, 122, 137, 83, 49, 89, 72)(43, 78, 129, 186, 233, 187, 130, 79)(44, 80, 131, 188, 234, 191, 134, 81)(52, 94, 73, 124, 180, 196, 138, 95)(55, 100, 70, 121, 177, 194, 136, 101)(58, 104, 160, 218, 235, 216, 158, 102)(62, 110, 167, 117, 174, 221, 163, 106)(65, 114, 143, 201, 161, 107, 164, 115)(68, 118, 175, 229, 236, 193, 176, 119)(93, 149, 206, 185, 232, 246, 205, 147)(96, 152, 209, 157, 215, 166, 109, 150)(99, 155, 195, 239, 207, 151, 208, 156)(103, 148, 198, 237, 254, 251, 217, 159)(111, 169, 113, 171, 226, 238, 219, 170)(123, 179, 230, 181, 231, 244, 202, 178)(125, 182, 224, 240, 197, 141, 199, 183)(145, 203, 165, 222, 241, 200, 242, 204)(153, 211, 154, 213, 249, 220, 247, 212)(168, 225, 243, 256, 253, 223, 250, 214)(172, 228, 245, 210, 248, 255, 252, 227)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 106)(60, 107)(61, 109)(63, 111)(64, 113)(66, 117)(67, 114)(69, 118)(72, 123)(74, 125)(75, 116)(77, 105)(78, 112)(79, 127)(80, 132)(81, 133)(82, 136)(85, 138)(86, 141)(88, 143)(89, 145)(91, 147)(92, 148)(94, 150)(95, 151)(97, 153)(98, 154)(100, 157)(101, 155)(104, 161)(108, 165)(110, 168)(115, 172)(119, 174)(120, 159)(121, 178)(122, 163)(124, 181)(126, 182)(128, 185)(129, 180)(130, 177)(131, 189)(134, 190)(135, 193)(137, 195)(139, 197)(140, 198)(142, 200)(144, 202)(146, 203)(149, 207)(152, 210)(156, 214)(158, 215)(160, 219)(162, 220)(164, 205)(166, 223)(167, 224)(169, 196)(170, 225)(171, 227)(173, 211)(175, 209)(176, 226)(179, 228)(183, 231)(184, 217)(186, 232)(187, 218)(188, 235)(191, 236)(192, 237)(194, 238)(199, 241)(201, 243)(204, 245)(206, 247)(208, 240)(212, 248)(213, 250)(216, 249)(221, 252)(222, 253)(229, 242)(230, 246)(233, 251)(234, 254)(239, 255)(244, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2275
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.2275 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^4, (T1^-1 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4, (T1^-1 * T2)^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^2 * T2 * T1 * T2 * T1^-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, 77, 49)(30, 50, 80, 51)(32, 53, 83, 54)(33, 55, 86, 56)(34, 57, 47, 58)(42, 68, 107, 69)(43, 70, 110, 71)(45, 73, 113, 74)(46, 75, 116, 76)(60, 92, 145, 93)(61, 94, 148, 95)(63, 97, 151, 98)(64, 99, 154, 100)(65, 101, 157, 102)(66, 103, 160, 104)(67, 105, 72, 106)(78, 120, 179, 121)(79, 122, 180, 123)(81, 125, 181, 126)(82, 127, 182, 128)(84, 130, 185, 131)(85, 132, 188, 133)(87, 135, 191, 136)(88, 137, 194, 138)(89, 139, 197, 140)(90, 141, 200, 142)(91, 143, 96, 144)(108, 166, 186, 156)(109, 167, 187, 150)(111, 169, 189, 153)(112, 170, 190, 147)(114, 172, 192, 155)(115, 173, 193, 149)(117, 175, 195, 152)(118, 176, 196, 146)(119, 177, 124, 178)(129, 183, 134, 184)(158, 205, 231, 206)(159, 207, 232, 208)(161, 211, 233, 212)(162, 213, 234, 214)(163, 215, 221, 216)(164, 204, 222, 217)(165, 218, 168, 201)(171, 219, 174, 202)(198, 223, 239, 224)(199, 225, 240, 226)(203, 229, 220, 230)(209, 227, 210, 228)(235, 243, 250, 244)(236, 245, 251, 246)(237, 247, 238, 242)(241, 248, 253, 249)(252, 254, 256, 255)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 78)(49, 79)(50, 81)(51, 82)(53, 84)(54, 85)(55, 87)(56, 88)(57, 89)(58, 90)(59, 91)(62, 96)(68, 108)(69, 109)(70, 111)(71, 112)(73, 114)(74, 115)(75, 117)(76, 118)(77, 119)(80, 124)(83, 129)(86, 134)(92, 146)(93, 147)(94, 149)(95, 150)(97, 152)(98, 153)(99, 155)(100, 156)(101, 158)(102, 159)(103, 161)(104, 162)(105, 163)(106, 164)(107, 165)(110, 168)(113, 171)(116, 174)(120, 176)(121, 170)(122, 173)(123, 167)(125, 175)(126, 169)(127, 172)(128, 166)(130, 186)(131, 187)(132, 189)(133, 190)(135, 192)(136, 193)(137, 195)(138, 196)(139, 198)(140, 199)(141, 201)(142, 202)(143, 203)(144, 204)(145, 205)(148, 206)(151, 207)(154, 208)(157, 209)(160, 210)(177, 220)(178, 217)(179, 211)(180, 212)(181, 213)(182, 214)(183, 221)(184, 222)(185, 223)(188, 224)(191, 225)(194, 226)(197, 227)(200, 228)(215, 235)(216, 236)(218, 237)(219, 238)(229, 241)(230, 242)(231, 243)(232, 244)(233, 245)(234, 246)(239, 248)(240, 249)(247, 252)(250, 254)(251, 255)(253, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2274
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.2276 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^4, (T2^-1 * T1)^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1)^4, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 78, 48)(30, 50, 81, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 96, 61)(38, 63, 99, 64)(41, 68, 49, 69)(44, 73, 114, 74)(46, 75, 117, 76)(54, 86, 62, 87)(57, 91, 142, 92)(59, 93, 145, 94)(65, 101, 157, 102)(67, 104, 160, 105)(70, 108, 165, 109)(72, 111, 166, 112)(77, 119, 177, 120)(79, 122, 180, 123)(80, 124, 181, 125)(82, 127, 182, 128)(83, 129, 183, 130)(85, 132, 186, 133)(88, 136, 191, 137)(90, 139, 192, 140)(95, 147, 203, 148)(97, 150, 206, 151)(98, 152, 207, 153)(100, 155, 208, 156)(103, 158, 110, 159)(106, 161, 211, 162)(107, 163, 213, 164)(113, 167, 214, 168)(115, 170, 217, 171)(116, 172, 218, 173)(118, 175, 219, 176)(121, 178, 126, 179)(131, 184, 138, 185)(134, 187, 223, 188)(135, 189, 225, 190)(141, 193, 226, 194)(143, 196, 229, 197)(144, 198, 230, 199)(146, 201, 231, 202)(149, 204, 154, 205)(169, 215, 174, 216)(195, 227, 200, 228)(209, 233, 220, 234)(210, 235, 246, 236)(212, 237, 247, 238)(221, 239, 232, 240)(222, 241, 249, 242)(224, 243, 250, 244)(245, 251, 255, 252)(248, 253, 256, 254)(257, 258)(259, 263)(260, 265)(261, 266)(262, 268)(264, 271)(267, 276)(269, 279)(270, 281)(272, 284)(273, 286)(274, 287)(275, 289)(277, 292)(278, 294)(280, 297)(282, 300)(283, 302)(285, 305)(288, 310)(290, 313)(291, 315)(293, 318)(295, 321)(296, 323)(298, 326)(299, 328)(301, 314)(303, 333)(304, 335)(306, 336)(307, 338)(308, 339)(309, 341)(311, 344)(312, 346)(316, 351)(317, 353)(319, 354)(320, 356)(322, 359)(324, 362)(325, 363)(327, 366)(329, 369)(330, 371)(331, 372)(332, 374)(334, 377)(337, 382)(340, 387)(342, 390)(343, 391)(345, 394)(347, 397)(348, 399)(349, 400)(350, 402)(352, 405)(355, 410)(357, 412)(358, 396)(360, 407)(361, 389)(364, 409)(365, 393)(367, 404)(368, 386)(370, 425)(373, 430)(375, 411)(376, 395)(378, 406)(379, 388)(380, 408)(381, 392)(383, 403)(384, 385)(398, 451)(401, 456)(413, 449)(414, 465)(415, 445)(416, 450)(417, 466)(418, 468)(419, 441)(420, 461)(421, 452)(422, 453)(423, 439)(424, 442)(426, 447)(427, 448)(428, 459)(429, 462)(431, 463)(432, 464)(433, 454)(434, 476)(435, 446)(436, 455)(437, 457)(438, 458)(440, 477)(443, 478)(444, 480)(460, 488)(467, 483)(469, 484)(470, 491)(471, 479)(472, 481)(473, 492)(474, 493)(475, 494)(482, 497)(485, 498)(486, 499)(487, 500)(489, 501)(490, 496)(495, 504)(502, 507)(503, 508)(505, 509)(506, 510)(511, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2280
Transitivity :: ET+
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.2277 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-1 * T1)^4, T2^8, T2^2 * T1^-1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1, (T2^2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 77, 44, 20, 8)(4, 12, 27, 57, 93, 48, 22, 9)(6, 15, 33, 67, 125, 73, 36, 16)(11, 26, 55, 104, 172, 97, 50, 23)(13, 29, 60, 113, 154, 117, 62, 30)(18, 40, 80, 145, 98, 138, 75, 37)(19, 41, 81, 148, 207, 152, 83, 42)(21, 45, 87, 158, 119, 162, 89, 46)(25, 54, 103, 176, 234, 174, 99, 51)(28, 59, 111, 183, 194, 173, 107, 56)(31, 63, 118, 149, 219, 188, 120, 64)(34, 69, 128, 198, 139, 193, 123, 66)(35, 70, 129, 201, 164, 205, 131, 71)(39, 79, 144, 215, 170, 96, 140, 76)(43, 84, 153, 202, 249, 221, 155, 85)(47, 90, 163, 114, 186, 229, 165, 91)(49, 94, 167, 112, 61, 115, 169, 95)(53, 102, 175, 235, 252, 209, 134, 100)(58, 110, 182, 237, 243, 192, 171, 108)(65, 101, 126, 196, 244, 239, 189, 121)(68, 127, 197, 245, 213, 137, 195, 124)(72, 132, 206, 159, 225, 251, 208, 133)(74, 135, 210, 147, 82, 150, 212, 136)(78, 143, 214, 255, 230, 166, 92, 141)(86, 142, 109, 178, 236, 256, 222, 156)(88, 160, 226, 181, 106, 180, 224, 157)(105, 179, 116, 187, 218, 254, 233, 177)(122, 190, 240, 200, 130, 203, 242, 191)(146, 217, 151, 220, 248, 231, 168, 216)(161, 227, 185, 232, 241, 238, 184, 228)(199, 247, 204, 250, 223, 253, 211, 246)(257, 258, 262, 260)(259, 265, 277, 267)(261, 269, 274, 263)(264, 275, 290, 271)(266, 279, 305, 281)(268, 272, 291, 284)(270, 287, 317, 285)(273, 293, 330, 295)(276, 299, 338, 297)(278, 303, 344, 301)(280, 307, 354, 309)(282, 302, 325, 298)(283, 312, 362, 314)(286, 315, 327, 296)(288, 321, 375, 319)(289, 322, 378, 324)(292, 328, 386, 326)(294, 332, 395, 334)(300, 342, 410, 340)(304, 348, 420, 346)(306, 352, 424, 350)(308, 356, 381, 357)(310, 351, 416, 347)(311, 339, 407, 361)(313, 364, 428, 365)(316, 368, 441, 370)(318, 372, 440, 367)(320, 335, 392, 371)(323, 380, 450, 382)(329, 390, 463, 388)(331, 393, 467, 391)(333, 397, 349, 398)(336, 387, 460, 402)(337, 403, 474, 405)(341, 383, 447, 406)(343, 413, 479, 415)(345, 417, 455, 384)(353, 427, 449, 396)(355, 429, 451, 394)(358, 401, 472, 426)(359, 421, 453, 411)(360, 433, 490, 434)(363, 430, 489, 436)(366, 437, 459, 389)(369, 419, 457, 409)(373, 412, 475, 443)(374, 414, 462, 404)(376, 438, 464, 400)(377, 442, 483, 418)(379, 448, 497, 446)(385, 456, 504, 458)(399, 454, 502, 469)(408, 465, 505, 476)(422, 481, 506, 461)(423, 487, 496, 488)(425, 468, 498, 482)(431, 471, 507, 486)(432, 477, 508, 492)(435, 473, 503, 484)(439, 494, 499, 452)(444, 478, 500, 493)(445, 470, 501, 485)(466, 509, 480, 510)(491, 511, 495, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2281
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.2278 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-2 * T2)^4, (T1^-2 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 58)(34, 62)(35, 65)(37, 68)(38, 70)(40, 73)(41, 76)(42, 71)(45, 83)(46, 84)(47, 87)(50, 90)(51, 93)(53, 96)(54, 99)(56, 102)(57, 103)(59, 106)(60, 107)(61, 109)(63, 111)(64, 113)(66, 117)(67, 114)(69, 118)(72, 123)(74, 125)(75, 116)(77, 105)(78, 112)(79, 127)(80, 132)(81, 133)(82, 136)(85, 138)(86, 141)(88, 143)(89, 145)(91, 147)(92, 148)(94, 150)(95, 151)(97, 153)(98, 154)(100, 157)(101, 155)(104, 161)(108, 165)(110, 168)(115, 172)(119, 174)(120, 159)(121, 178)(122, 163)(124, 181)(126, 182)(128, 185)(129, 180)(130, 177)(131, 189)(134, 190)(135, 193)(137, 195)(139, 197)(140, 198)(142, 200)(144, 202)(146, 203)(149, 207)(152, 210)(156, 214)(158, 215)(160, 219)(162, 220)(164, 205)(166, 223)(167, 224)(169, 196)(170, 225)(171, 227)(173, 211)(175, 209)(176, 226)(179, 228)(183, 231)(184, 217)(186, 232)(187, 218)(188, 235)(191, 236)(192, 237)(194, 238)(199, 241)(201, 243)(204, 245)(206, 247)(208, 240)(212, 248)(213, 250)(216, 249)(221, 252)(222, 253)(229, 242)(230, 246)(233, 251)(234, 254)(239, 255)(244, 256)(257, 258, 261, 267, 279, 278, 266, 260)(259, 263, 271, 287, 313, 293, 274, 264)(262, 269, 283, 307, 348, 312, 286, 270)(265, 275, 294, 325, 376, 330, 296, 276)(268, 281, 303, 342, 396, 347, 306, 282)(272, 289, 317, 364, 388, 340, 319, 290)(273, 291, 320, 368, 389, 353, 309, 284)(277, 297, 331, 382, 440, 384, 333, 298)(280, 301, 338, 391, 448, 395, 341, 302)(285, 310, 354, 332, 383, 400, 344, 304)(288, 315, 361, 418, 445, 402, 346, 316)(292, 322, 372, 429, 446, 398, 343, 323)(295, 327, 378, 393, 339, 305, 345, 328)(299, 334, 385, 442, 489, 443, 386, 335)(300, 336, 387, 444, 490, 447, 390, 337)(308, 350, 329, 380, 436, 452, 394, 351)(311, 356, 326, 377, 433, 450, 392, 357)(314, 360, 416, 474, 491, 472, 414, 358)(318, 366, 423, 373, 430, 477, 419, 362)(321, 370, 399, 457, 417, 363, 420, 371)(324, 374, 431, 485, 492, 449, 432, 375)(349, 405, 462, 441, 488, 502, 461, 403)(352, 408, 465, 413, 471, 422, 365, 406)(355, 411, 451, 495, 463, 407, 464, 412)(359, 404, 454, 493, 510, 507, 473, 415)(367, 425, 369, 427, 482, 494, 475, 426)(379, 435, 486, 437, 487, 500, 458, 434)(381, 438, 480, 496, 453, 397, 455, 439)(401, 459, 421, 478, 497, 456, 498, 460)(409, 467, 410, 469, 505, 476, 503, 468)(424, 481, 499, 512, 509, 479, 506, 470)(428, 484, 501, 466, 504, 511, 508, 483)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2279
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.2279 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, (F * T1)^2, (F * T2)^2, T2^4, (T2^-1 * T1 * T2^-1)^4, (T2^-1 * T1)^8, (T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2^-1 * T1)^4, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^2, T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 ]
Map::
	R = (1, 257, 3, 259, 8, 264, 4, 260)(2, 258, 5, 261, 11, 267, 6, 262)(7, 263, 13, 269, 24, 280, 14, 270)(9, 265, 16, 272, 29, 285, 17, 273)(10, 266, 18, 274, 32, 288, 19, 275)(12, 268, 21, 277, 37, 293, 22, 278)(15, 271, 26, 282, 45, 301, 27, 283)(20, 276, 34, 290, 58, 314, 35, 291)(23, 279, 39, 295, 66, 322, 40, 296)(25, 281, 42, 298, 71, 327, 43, 299)(28, 284, 47, 303, 78, 334, 48, 304)(30, 286, 50, 306, 81, 337, 51, 307)(31, 287, 52, 308, 84, 340, 53, 309)(33, 289, 55, 311, 89, 345, 56, 312)(36, 292, 60, 316, 96, 352, 61, 317)(38, 294, 63, 319, 99, 355, 64, 320)(41, 297, 68, 324, 49, 305, 69, 325)(44, 300, 73, 329, 114, 370, 74, 330)(46, 302, 75, 331, 117, 373, 76, 332)(54, 310, 86, 342, 62, 318, 87, 343)(57, 313, 91, 347, 142, 398, 92, 348)(59, 315, 93, 349, 145, 401, 94, 350)(65, 321, 101, 357, 157, 413, 102, 358)(67, 323, 104, 360, 160, 416, 105, 361)(70, 326, 108, 364, 165, 421, 109, 365)(72, 328, 111, 367, 166, 422, 112, 368)(77, 333, 119, 375, 177, 433, 120, 376)(79, 335, 122, 378, 180, 436, 123, 379)(80, 336, 124, 380, 181, 437, 125, 381)(82, 338, 127, 383, 182, 438, 128, 384)(83, 339, 129, 385, 183, 439, 130, 386)(85, 341, 132, 388, 186, 442, 133, 389)(88, 344, 136, 392, 191, 447, 137, 393)(90, 346, 139, 395, 192, 448, 140, 396)(95, 351, 147, 403, 203, 459, 148, 404)(97, 353, 150, 406, 206, 462, 151, 407)(98, 354, 152, 408, 207, 463, 153, 409)(100, 356, 155, 411, 208, 464, 156, 412)(103, 359, 158, 414, 110, 366, 159, 415)(106, 362, 161, 417, 211, 467, 162, 418)(107, 363, 163, 419, 213, 469, 164, 420)(113, 369, 167, 423, 214, 470, 168, 424)(115, 371, 170, 426, 217, 473, 171, 427)(116, 372, 172, 428, 218, 474, 173, 429)(118, 374, 175, 431, 219, 475, 176, 432)(121, 377, 178, 434, 126, 382, 179, 435)(131, 387, 184, 440, 138, 394, 185, 441)(134, 390, 187, 443, 223, 479, 188, 444)(135, 391, 189, 445, 225, 481, 190, 446)(141, 397, 193, 449, 226, 482, 194, 450)(143, 399, 196, 452, 229, 485, 197, 453)(144, 400, 198, 454, 230, 486, 199, 455)(146, 402, 201, 457, 231, 487, 202, 458)(149, 405, 204, 460, 154, 410, 205, 461)(169, 425, 215, 471, 174, 430, 216, 472)(195, 451, 227, 483, 200, 456, 228, 484)(209, 465, 233, 489, 220, 476, 234, 490)(210, 466, 235, 491, 246, 502, 236, 492)(212, 468, 237, 493, 247, 503, 238, 494)(221, 477, 239, 495, 232, 488, 240, 496)(222, 478, 241, 497, 249, 505, 242, 498)(224, 480, 243, 499, 250, 506, 244, 500)(245, 501, 251, 507, 255, 511, 252, 508)(248, 504, 253, 509, 256, 512, 254, 510)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 314)(46, 283)(47, 333)(48, 335)(49, 285)(50, 336)(51, 338)(52, 339)(53, 341)(54, 288)(55, 344)(56, 346)(57, 290)(58, 301)(59, 291)(60, 351)(61, 353)(62, 293)(63, 354)(64, 356)(65, 295)(66, 359)(67, 296)(68, 362)(69, 363)(70, 298)(71, 366)(72, 299)(73, 369)(74, 371)(75, 372)(76, 374)(77, 303)(78, 377)(79, 304)(80, 306)(81, 382)(82, 307)(83, 308)(84, 387)(85, 309)(86, 390)(87, 391)(88, 311)(89, 394)(90, 312)(91, 397)(92, 399)(93, 400)(94, 402)(95, 316)(96, 405)(97, 317)(98, 319)(99, 410)(100, 320)(101, 412)(102, 396)(103, 322)(104, 407)(105, 389)(106, 324)(107, 325)(108, 409)(109, 393)(110, 327)(111, 404)(112, 386)(113, 329)(114, 425)(115, 330)(116, 331)(117, 430)(118, 332)(119, 411)(120, 395)(121, 334)(122, 406)(123, 388)(124, 408)(125, 392)(126, 337)(127, 403)(128, 385)(129, 384)(130, 368)(131, 340)(132, 379)(133, 361)(134, 342)(135, 343)(136, 381)(137, 365)(138, 345)(139, 376)(140, 358)(141, 347)(142, 451)(143, 348)(144, 349)(145, 456)(146, 350)(147, 383)(148, 367)(149, 352)(150, 378)(151, 360)(152, 380)(153, 364)(154, 355)(155, 375)(156, 357)(157, 449)(158, 465)(159, 445)(160, 450)(161, 466)(162, 468)(163, 441)(164, 461)(165, 452)(166, 453)(167, 439)(168, 442)(169, 370)(170, 447)(171, 448)(172, 459)(173, 462)(174, 373)(175, 463)(176, 464)(177, 454)(178, 476)(179, 446)(180, 455)(181, 457)(182, 458)(183, 423)(184, 477)(185, 419)(186, 424)(187, 478)(188, 480)(189, 415)(190, 435)(191, 426)(192, 427)(193, 413)(194, 416)(195, 398)(196, 421)(197, 422)(198, 433)(199, 436)(200, 401)(201, 437)(202, 438)(203, 428)(204, 488)(205, 420)(206, 429)(207, 431)(208, 432)(209, 414)(210, 417)(211, 483)(212, 418)(213, 484)(214, 491)(215, 479)(216, 481)(217, 492)(218, 493)(219, 494)(220, 434)(221, 440)(222, 443)(223, 471)(224, 444)(225, 472)(226, 497)(227, 467)(228, 469)(229, 498)(230, 499)(231, 500)(232, 460)(233, 501)(234, 496)(235, 470)(236, 473)(237, 474)(238, 475)(239, 504)(240, 490)(241, 482)(242, 485)(243, 486)(244, 487)(245, 489)(246, 507)(247, 508)(248, 495)(249, 509)(250, 510)(251, 502)(252, 503)(253, 505)(254, 506)(255, 512)(256, 511)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2278
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.2280 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, (T2^-1 * T1)^4, T2^8, T2^2 * T1^-1 * T2^-1 * T1 * T2^3 * T1^-1 * T2^-2 * T1^-1, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1, (T2^2 * T1^-1)^4 ]
Map::
	R = (1, 257, 3, 259, 10, 266, 24, 280, 52, 308, 32, 288, 14, 270, 5, 261)(2, 258, 7, 263, 17, 273, 38, 294, 77, 333, 44, 300, 20, 276, 8, 264)(4, 260, 12, 268, 27, 283, 57, 313, 93, 349, 48, 304, 22, 278, 9, 265)(6, 262, 15, 271, 33, 289, 67, 323, 125, 381, 73, 329, 36, 292, 16, 272)(11, 267, 26, 282, 55, 311, 104, 360, 172, 428, 97, 353, 50, 306, 23, 279)(13, 269, 29, 285, 60, 316, 113, 369, 154, 410, 117, 373, 62, 318, 30, 286)(18, 274, 40, 296, 80, 336, 145, 401, 98, 354, 138, 394, 75, 331, 37, 293)(19, 275, 41, 297, 81, 337, 148, 404, 207, 463, 152, 408, 83, 339, 42, 298)(21, 277, 45, 301, 87, 343, 158, 414, 119, 375, 162, 418, 89, 345, 46, 302)(25, 281, 54, 310, 103, 359, 176, 432, 234, 490, 174, 430, 99, 355, 51, 307)(28, 284, 59, 315, 111, 367, 183, 439, 194, 450, 173, 429, 107, 363, 56, 312)(31, 287, 63, 319, 118, 374, 149, 405, 219, 475, 188, 444, 120, 376, 64, 320)(34, 290, 69, 325, 128, 384, 198, 454, 139, 395, 193, 449, 123, 379, 66, 322)(35, 291, 70, 326, 129, 385, 201, 457, 164, 420, 205, 461, 131, 387, 71, 327)(39, 295, 79, 335, 144, 400, 215, 471, 170, 426, 96, 352, 140, 396, 76, 332)(43, 299, 84, 340, 153, 409, 202, 458, 249, 505, 221, 477, 155, 411, 85, 341)(47, 303, 90, 346, 163, 419, 114, 370, 186, 442, 229, 485, 165, 421, 91, 347)(49, 305, 94, 350, 167, 423, 112, 368, 61, 317, 115, 371, 169, 425, 95, 351)(53, 309, 102, 358, 175, 431, 235, 491, 252, 508, 209, 465, 134, 390, 100, 356)(58, 314, 110, 366, 182, 438, 237, 493, 243, 499, 192, 448, 171, 427, 108, 364)(65, 321, 101, 357, 126, 382, 196, 452, 244, 500, 239, 495, 189, 445, 121, 377)(68, 324, 127, 383, 197, 453, 245, 501, 213, 469, 137, 393, 195, 451, 124, 380)(72, 328, 132, 388, 206, 462, 159, 415, 225, 481, 251, 507, 208, 464, 133, 389)(74, 330, 135, 391, 210, 466, 147, 403, 82, 338, 150, 406, 212, 468, 136, 392)(78, 334, 143, 399, 214, 470, 255, 511, 230, 486, 166, 422, 92, 348, 141, 397)(86, 342, 142, 398, 109, 365, 178, 434, 236, 492, 256, 512, 222, 478, 156, 412)(88, 344, 160, 416, 226, 482, 181, 437, 106, 362, 180, 436, 224, 480, 157, 413)(105, 361, 179, 435, 116, 372, 187, 443, 218, 474, 254, 510, 233, 489, 177, 433)(122, 378, 190, 446, 240, 496, 200, 456, 130, 386, 203, 459, 242, 498, 191, 447)(146, 402, 217, 473, 151, 407, 220, 476, 248, 504, 231, 487, 168, 424, 216, 472)(161, 417, 227, 483, 185, 441, 232, 488, 241, 497, 238, 494, 184, 440, 228, 484)(199, 455, 247, 503, 204, 460, 250, 506, 223, 479, 253, 509, 211, 467, 246, 502)
	L = (1, 258)(2, 262)(3, 265)(4, 257)(5, 269)(6, 260)(7, 261)(8, 275)(9, 277)(10, 279)(11, 259)(12, 272)(13, 274)(14, 287)(15, 264)(16, 291)(17, 293)(18, 263)(19, 290)(20, 299)(21, 267)(22, 303)(23, 305)(24, 307)(25, 266)(26, 302)(27, 312)(28, 268)(29, 270)(30, 315)(31, 317)(32, 321)(33, 322)(34, 271)(35, 284)(36, 328)(37, 330)(38, 332)(39, 273)(40, 286)(41, 276)(42, 282)(43, 338)(44, 342)(45, 278)(46, 325)(47, 344)(48, 348)(49, 281)(50, 352)(51, 354)(52, 356)(53, 280)(54, 351)(55, 339)(56, 362)(57, 364)(58, 283)(59, 327)(60, 368)(61, 285)(62, 372)(63, 288)(64, 335)(65, 375)(66, 378)(67, 380)(68, 289)(69, 298)(70, 292)(71, 296)(72, 386)(73, 390)(74, 295)(75, 393)(76, 395)(77, 397)(78, 294)(79, 392)(80, 387)(81, 403)(82, 297)(83, 407)(84, 300)(85, 383)(86, 410)(87, 413)(88, 301)(89, 417)(90, 304)(91, 310)(92, 420)(93, 398)(94, 306)(95, 416)(96, 424)(97, 427)(98, 309)(99, 429)(100, 381)(101, 308)(102, 401)(103, 421)(104, 433)(105, 311)(106, 314)(107, 430)(108, 428)(109, 313)(110, 437)(111, 318)(112, 441)(113, 419)(114, 316)(115, 320)(116, 440)(117, 412)(118, 414)(119, 319)(120, 438)(121, 442)(122, 324)(123, 448)(124, 450)(125, 357)(126, 323)(127, 447)(128, 345)(129, 456)(130, 326)(131, 460)(132, 329)(133, 366)(134, 463)(135, 331)(136, 371)(137, 467)(138, 355)(139, 334)(140, 353)(141, 349)(142, 333)(143, 454)(144, 376)(145, 472)(146, 336)(147, 474)(148, 374)(149, 337)(150, 341)(151, 361)(152, 465)(153, 369)(154, 340)(155, 359)(156, 475)(157, 479)(158, 462)(159, 343)(160, 347)(161, 455)(162, 377)(163, 457)(164, 346)(165, 453)(166, 481)(167, 487)(168, 350)(169, 468)(170, 358)(171, 449)(172, 365)(173, 451)(174, 489)(175, 471)(176, 477)(177, 490)(178, 360)(179, 473)(180, 363)(181, 459)(182, 464)(183, 494)(184, 367)(185, 370)(186, 483)(187, 373)(188, 478)(189, 470)(190, 379)(191, 406)(192, 497)(193, 396)(194, 382)(195, 394)(196, 439)(197, 411)(198, 502)(199, 384)(200, 504)(201, 409)(202, 385)(203, 389)(204, 402)(205, 422)(206, 404)(207, 388)(208, 400)(209, 505)(210, 509)(211, 391)(212, 498)(213, 399)(214, 501)(215, 507)(216, 426)(217, 503)(218, 405)(219, 443)(220, 408)(221, 508)(222, 500)(223, 415)(224, 510)(225, 506)(226, 425)(227, 418)(228, 435)(229, 445)(230, 431)(231, 496)(232, 423)(233, 436)(234, 434)(235, 511)(236, 432)(237, 444)(238, 499)(239, 512)(240, 488)(241, 446)(242, 482)(243, 452)(244, 493)(245, 485)(246, 469)(247, 484)(248, 458)(249, 476)(250, 461)(251, 486)(252, 492)(253, 480)(254, 466)(255, 495)(256, 491)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2276
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.2281 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^4, T1^8, (T1^-1 * T2 * T1 * T2 * T1^-2)^2, (T1^-1 * T2 * T1^2 * T2 * T1^-1)^2, (T1^-2 * T2)^4, (T1^-2 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 257, 3, 259)(2, 258, 6, 262)(4, 260, 9, 265)(5, 261, 12, 268)(7, 263, 16, 272)(8, 264, 17, 273)(10, 266, 21, 277)(11, 267, 24, 280)(13, 269, 28, 284)(14, 270, 29, 285)(15, 271, 32, 288)(18, 274, 36, 292)(19, 275, 39, 295)(20, 276, 33, 289)(22, 278, 43, 299)(23, 279, 44, 300)(25, 281, 48, 304)(26, 282, 49, 305)(27, 283, 52, 308)(30, 286, 55, 311)(31, 287, 58, 314)(34, 290, 62, 318)(35, 291, 65, 321)(37, 293, 68, 324)(38, 294, 70, 326)(40, 296, 73, 329)(41, 297, 76, 332)(42, 298, 71, 327)(45, 301, 83, 339)(46, 302, 84, 340)(47, 303, 87, 343)(50, 306, 90, 346)(51, 307, 93, 349)(53, 309, 96, 352)(54, 310, 99, 355)(56, 312, 102, 358)(57, 313, 103, 359)(59, 315, 106, 362)(60, 316, 107, 363)(61, 317, 109, 365)(63, 319, 111, 367)(64, 320, 113, 369)(66, 322, 117, 373)(67, 323, 114, 370)(69, 325, 118, 374)(72, 328, 123, 379)(74, 330, 125, 381)(75, 331, 116, 372)(77, 333, 105, 361)(78, 334, 112, 368)(79, 335, 127, 383)(80, 336, 132, 388)(81, 337, 133, 389)(82, 338, 136, 392)(85, 341, 138, 394)(86, 342, 141, 397)(88, 344, 143, 399)(89, 345, 145, 401)(91, 347, 147, 403)(92, 348, 148, 404)(94, 350, 150, 406)(95, 351, 151, 407)(97, 353, 153, 409)(98, 354, 154, 410)(100, 356, 157, 413)(101, 357, 155, 411)(104, 360, 161, 417)(108, 364, 165, 421)(110, 366, 168, 424)(115, 371, 172, 428)(119, 375, 174, 430)(120, 376, 159, 415)(121, 377, 178, 434)(122, 378, 163, 419)(124, 380, 181, 437)(126, 382, 182, 438)(128, 384, 185, 441)(129, 385, 180, 436)(130, 386, 177, 433)(131, 387, 189, 445)(134, 390, 190, 446)(135, 391, 193, 449)(137, 393, 195, 451)(139, 395, 197, 453)(140, 396, 198, 454)(142, 398, 200, 456)(144, 400, 202, 458)(146, 402, 203, 459)(149, 405, 207, 463)(152, 408, 210, 466)(156, 412, 214, 470)(158, 414, 215, 471)(160, 416, 219, 475)(162, 418, 220, 476)(164, 420, 205, 461)(166, 422, 223, 479)(167, 423, 224, 480)(169, 425, 196, 452)(170, 426, 225, 481)(171, 427, 227, 483)(173, 429, 211, 467)(175, 431, 209, 465)(176, 432, 226, 482)(179, 435, 228, 484)(183, 439, 231, 487)(184, 440, 217, 473)(186, 442, 232, 488)(187, 443, 218, 474)(188, 444, 235, 491)(191, 447, 236, 492)(192, 448, 237, 493)(194, 450, 238, 494)(199, 455, 241, 497)(201, 457, 243, 499)(204, 460, 245, 501)(206, 462, 247, 503)(208, 464, 240, 496)(212, 468, 248, 504)(213, 469, 250, 506)(216, 472, 249, 505)(221, 477, 252, 508)(222, 478, 253, 509)(229, 485, 242, 498)(230, 486, 246, 502)(233, 489, 251, 507)(234, 490, 254, 510)(239, 495, 255, 511)(244, 500, 256, 512)
	L = (1, 258)(2, 261)(3, 263)(4, 257)(5, 267)(6, 269)(7, 271)(8, 259)(9, 275)(10, 260)(11, 279)(12, 281)(13, 283)(14, 262)(15, 287)(16, 289)(17, 291)(18, 264)(19, 294)(20, 265)(21, 297)(22, 266)(23, 278)(24, 301)(25, 303)(26, 268)(27, 307)(28, 273)(29, 310)(30, 270)(31, 313)(32, 315)(33, 317)(34, 272)(35, 320)(36, 322)(37, 274)(38, 325)(39, 327)(40, 276)(41, 331)(42, 277)(43, 334)(44, 336)(45, 338)(46, 280)(47, 342)(48, 285)(49, 345)(50, 282)(51, 348)(52, 350)(53, 284)(54, 354)(55, 356)(56, 286)(57, 293)(58, 360)(59, 361)(60, 288)(61, 364)(62, 366)(63, 290)(64, 368)(65, 370)(66, 372)(67, 292)(68, 374)(69, 376)(70, 377)(71, 378)(72, 295)(73, 380)(74, 296)(75, 382)(76, 383)(77, 298)(78, 385)(79, 299)(80, 387)(81, 300)(82, 391)(83, 305)(84, 319)(85, 302)(86, 396)(87, 323)(88, 304)(89, 328)(90, 316)(91, 306)(92, 312)(93, 405)(94, 329)(95, 308)(96, 408)(97, 309)(98, 332)(99, 411)(100, 326)(101, 311)(102, 314)(103, 404)(104, 416)(105, 418)(106, 318)(107, 420)(108, 388)(109, 406)(110, 423)(111, 425)(112, 389)(113, 427)(114, 399)(115, 321)(116, 429)(117, 430)(118, 431)(119, 324)(120, 330)(121, 433)(122, 393)(123, 435)(124, 436)(125, 438)(126, 440)(127, 400)(128, 333)(129, 442)(130, 335)(131, 444)(132, 340)(133, 353)(134, 337)(135, 448)(136, 357)(137, 339)(138, 351)(139, 341)(140, 347)(141, 455)(142, 343)(143, 457)(144, 344)(145, 459)(146, 346)(147, 349)(148, 454)(149, 462)(150, 352)(151, 464)(152, 465)(153, 467)(154, 469)(155, 451)(156, 355)(157, 471)(158, 358)(159, 359)(160, 474)(161, 363)(162, 445)(163, 362)(164, 371)(165, 478)(166, 365)(167, 373)(168, 481)(169, 369)(170, 367)(171, 482)(172, 484)(173, 446)(174, 477)(175, 485)(176, 375)(177, 450)(178, 379)(179, 486)(180, 452)(181, 487)(182, 480)(183, 381)(184, 384)(185, 488)(186, 489)(187, 386)(188, 490)(189, 402)(190, 398)(191, 390)(192, 395)(193, 432)(194, 392)(195, 495)(196, 394)(197, 397)(198, 493)(199, 439)(200, 498)(201, 417)(202, 434)(203, 421)(204, 401)(205, 403)(206, 441)(207, 407)(208, 412)(209, 413)(210, 504)(211, 410)(212, 409)(213, 505)(214, 424)(215, 422)(216, 414)(217, 415)(218, 491)(219, 426)(220, 503)(221, 419)(222, 497)(223, 506)(224, 496)(225, 499)(226, 494)(227, 428)(228, 501)(229, 492)(230, 437)(231, 500)(232, 502)(233, 443)(234, 447)(235, 472)(236, 449)(237, 510)(238, 475)(239, 463)(240, 453)(241, 456)(242, 460)(243, 512)(244, 458)(245, 466)(246, 461)(247, 468)(248, 511)(249, 476)(250, 470)(251, 473)(252, 483)(253, 479)(254, 507)(255, 508)(256, 509)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2277
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.2282 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, Y2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2, (Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, (Y2 * Y1)^8, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^2, (Y2 * Y1 * Y2^-1 * Y1)^4, (Y3 * Y2^-1)^8, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y2^-2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 10, 266)(6, 262, 12, 268)(8, 264, 15, 271)(11, 267, 20, 276)(13, 269, 23, 279)(14, 270, 25, 281)(16, 272, 28, 284)(17, 273, 30, 286)(18, 274, 31, 287)(19, 275, 33, 289)(21, 277, 36, 292)(22, 278, 38, 294)(24, 280, 41, 297)(26, 282, 44, 300)(27, 283, 46, 302)(29, 285, 49, 305)(32, 288, 54, 310)(34, 290, 57, 313)(35, 291, 59, 315)(37, 293, 62, 318)(39, 295, 65, 321)(40, 296, 67, 323)(42, 298, 70, 326)(43, 299, 72, 328)(45, 301, 58, 314)(47, 303, 77, 333)(48, 304, 79, 335)(50, 306, 80, 336)(51, 307, 82, 338)(52, 308, 83, 339)(53, 309, 85, 341)(55, 311, 88, 344)(56, 312, 90, 346)(60, 316, 95, 351)(61, 317, 97, 353)(63, 319, 98, 354)(64, 320, 100, 356)(66, 322, 103, 359)(68, 324, 106, 362)(69, 325, 107, 363)(71, 327, 110, 366)(73, 329, 113, 369)(74, 330, 115, 371)(75, 331, 116, 372)(76, 332, 118, 374)(78, 334, 121, 377)(81, 337, 126, 382)(84, 340, 131, 387)(86, 342, 134, 390)(87, 343, 135, 391)(89, 345, 138, 394)(91, 347, 141, 397)(92, 348, 143, 399)(93, 349, 144, 400)(94, 350, 146, 402)(96, 352, 149, 405)(99, 355, 154, 410)(101, 357, 156, 412)(102, 358, 140, 396)(104, 360, 151, 407)(105, 361, 133, 389)(108, 364, 153, 409)(109, 365, 137, 393)(111, 367, 148, 404)(112, 368, 130, 386)(114, 370, 169, 425)(117, 373, 174, 430)(119, 375, 155, 411)(120, 376, 139, 395)(122, 378, 150, 406)(123, 379, 132, 388)(124, 380, 152, 408)(125, 381, 136, 392)(127, 383, 147, 403)(128, 384, 129, 385)(142, 398, 195, 451)(145, 401, 200, 456)(157, 413, 193, 449)(158, 414, 209, 465)(159, 415, 189, 445)(160, 416, 194, 450)(161, 417, 210, 466)(162, 418, 212, 468)(163, 419, 185, 441)(164, 420, 205, 461)(165, 421, 196, 452)(166, 422, 197, 453)(167, 423, 183, 439)(168, 424, 186, 442)(170, 426, 191, 447)(171, 427, 192, 448)(172, 428, 203, 459)(173, 429, 206, 462)(175, 431, 207, 463)(176, 432, 208, 464)(177, 433, 198, 454)(178, 434, 220, 476)(179, 435, 190, 446)(180, 436, 199, 455)(181, 437, 201, 457)(182, 438, 202, 458)(184, 440, 221, 477)(187, 443, 222, 478)(188, 444, 224, 480)(204, 460, 232, 488)(211, 467, 227, 483)(213, 469, 228, 484)(214, 470, 235, 491)(215, 471, 223, 479)(216, 472, 225, 481)(217, 473, 236, 492)(218, 474, 237, 493)(219, 475, 238, 494)(226, 482, 241, 497)(229, 485, 242, 498)(230, 486, 243, 499)(231, 487, 244, 500)(233, 489, 245, 501)(234, 490, 240, 496)(239, 495, 248, 504)(246, 502, 251, 507)(247, 503, 252, 508)(249, 505, 253, 509)(250, 506, 254, 510)(255, 511, 256, 512)(513, 769, 515, 771, 520, 776, 516, 772)(514, 770, 517, 773, 523, 779, 518, 774)(519, 775, 525, 781, 536, 792, 526, 782)(521, 777, 528, 784, 541, 797, 529, 785)(522, 778, 530, 786, 544, 800, 531, 787)(524, 780, 533, 789, 549, 805, 534, 790)(527, 783, 538, 794, 557, 813, 539, 795)(532, 788, 546, 802, 570, 826, 547, 803)(535, 791, 551, 807, 578, 834, 552, 808)(537, 793, 554, 810, 583, 839, 555, 811)(540, 796, 559, 815, 590, 846, 560, 816)(542, 798, 562, 818, 593, 849, 563, 819)(543, 799, 564, 820, 596, 852, 565, 821)(545, 801, 567, 823, 601, 857, 568, 824)(548, 804, 572, 828, 608, 864, 573, 829)(550, 806, 575, 831, 611, 867, 576, 832)(553, 809, 580, 836, 561, 817, 581, 837)(556, 812, 585, 841, 626, 882, 586, 842)(558, 814, 587, 843, 629, 885, 588, 844)(566, 822, 598, 854, 574, 830, 599, 855)(569, 825, 603, 859, 654, 910, 604, 860)(571, 827, 605, 861, 657, 913, 606, 862)(577, 833, 613, 869, 669, 925, 614, 870)(579, 835, 616, 872, 672, 928, 617, 873)(582, 838, 620, 876, 677, 933, 621, 877)(584, 840, 623, 879, 678, 934, 624, 880)(589, 845, 631, 887, 689, 945, 632, 888)(591, 847, 634, 890, 692, 948, 635, 891)(592, 848, 636, 892, 693, 949, 637, 893)(594, 850, 639, 895, 694, 950, 640, 896)(595, 851, 641, 897, 695, 951, 642, 898)(597, 853, 644, 900, 698, 954, 645, 901)(600, 856, 648, 904, 703, 959, 649, 905)(602, 858, 651, 907, 704, 960, 652, 908)(607, 863, 659, 915, 715, 971, 660, 916)(609, 865, 662, 918, 718, 974, 663, 919)(610, 866, 664, 920, 719, 975, 665, 921)(612, 868, 667, 923, 720, 976, 668, 924)(615, 871, 670, 926, 622, 878, 671, 927)(618, 874, 673, 929, 723, 979, 674, 930)(619, 875, 675, 931, 725, 981, 676, 932)(625, 881, 679, 935, 726, 982, 680, 936)(627, 883, 682, 938, 729, 985, 683, 939)(628, 884, 684, 940, 730, 986, 685, 941)(630, 886, 687, 943, 731, 987, 688, 944)(633, 889, 690, 946, 638, 894, 691, 947)(643, 899, 696, 952, 650, 906, 697, 953)(646, 902, 699, 955, 735, 991, 700, 956)(647, 903, 701, 957, 737, 993, 702, 958)(653, 909, 705, 961, 738, 994, 706, 962)(655, 911, 708, 964, 741, 997, 709, 965)(656, 912, 710, 966, 742, 998, 711, 967)(658, 914, 713, 969, 743, 999, 714, 970)(661, 917, 716, 972, 666, 922, 717, 973)(681, 937, 727, 983, 686, 942, 728, 984)(707, 963, 739, 995, 712, 968, 740, 996)(721, 977, 745, 1001, 732, 988, 746, 1002)(722, 978, 747, 1003, 758, 1014, 748, 1004)(724, 980, 749, 1005, 759, 1015, 750, 1006)(733, 989, 751, 1007, 744, 1000, 752, 1008)(734, 990, 753, 1009, 761, 1017, 754, 1010)(736, 992, 755, 1011, 762, 1018, 756, 1012)(757, 1013, 763, 1019, 767, 1023, 764, 1020)(760, 1016, 765, 1021, 768, 1024, 766, 1022)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 522)(6, 524)(7, 515)(8, 527)(9, 516)(10, 517)(11, 532)(12, 518)(13, 535)(14, 537)(15, 520)(16, 540)(17, 542)(18, 543)(19, 545)(20, 523)(21, 548)(22, 550)(23, 525)(24, 553)(25, 526)(26, 556)(27, 558)(28, 528)(29, 561)(30, 529)(31, 530)(32, 566)(33, 531)(34, 569)(35, 571)(36, 533)(37, 574)(38, 534)(39, 577)(40, 579)(41, 536)(42, 582)(43, 584)(44, 538)(45, 570)(46, 539)(47, 589)(48, 591)(49, 541)(50, 592)(51, 594)(52, 595)(53, 597)(54, 544)(55, 600)(56, 602)(57, 546)(58, 557)(59, 547)(60, 607)(61, 609)(62, 549)(63, 610)(64, 612)(65, 551)(66, 615)(67, 552)(68, 618)(69, 619)(70, 554)(71, 622)(72, 555)(73, 625)(74, 627)(75, 628)(76, 630)(77, 559)(78, 633)(79, 560)(80, 562)(81, 638)(82, 563)(83, 564)(84, 643)(85, 565)(86, 646)(87, 647)(88, 567)(89, 650)(90, 568)(91, 653)(92, 655)(93, 656)(94, 658)(95, 572)(96, 661)(97, 573)(98, 575)(99, 666)(100, 576)(101, 668)(102, 652)(103, 578)(104, 663)(105, 645)(106, 580)(107, 581)(108, 665)(109, 649)(110, 583)(111, 660)(112, 642)(113, 585)(114, 681)(115, 586)(116, 587)(117, 686)(118, 588)(119, 667)(120, 651)(121, 590)(122, 662)(123, 644)(124, 664)(125, 648)(126, 593)(127, 659)(128, 641)(129, 640)(130, 624)(131, 596)(132, 635)(133, 617)(134, 598)(135, 599)(136, 637)(137, 621)(138, 601)(139, 632)(140, 614)(141, 603)(142, 707)(143, 604)(144, 605)(145, 712)(146, 606)(147, 639)(148, 623)(149, 608)(150, 634)(151, 616)(152, 636)(153, 620)(154, 611)(155, 631)(156, 613)(157, 705)(158, 721)(159, 701)(160, 706)(161, 722)(162, 724)(163, 697)(164, 717)(165, 708)(166, 709)(167, 695)(168, 698)(169, 626)(170, 703)(171, 704)(172, 715)(173, 718)(174, 629)(175, 719)(176, 720)(177, 710)(178, 732)(179, 702)(180, 711)(181, 713)(182, 714)(183, 679)(184, 733)(185, 675)(186, 680)(187, 734)(188, 736)(189, 671)(190, 691)(191, 682)(192, 683)(193, 669)(194, 672)(195, 654)(196, 677)(197, 678)(198, 689)(199, 692)(200, 657)(201, 693)(202, 694)(203, 684)(204, 744)(205, 676)(206, 685)(207, 687)(208, 688)(209, 670)(210, 673)(211, 739)(212, 674)(213, 740)(214, 747)(215, 735)(216, 737)(217, 748)(218, 749)(219, 750)(220, 690)(221, 696)(222, 699)(223, 727)(224, 700)(225, 728)(226, 753)(227, 723)(228, 725)(229, 754)(230, 755)(231, 756)(232, 716)(233, 757)(234, 752)(235, 726)(236, 729)(237, 730)(238, 731)(239, 760)(240, 746)(241, 738)(242, 741)(243, 742)(244, 743)(245, 745)(246, 763)(247, 764)(248, 751)(249, 765)(250, 766)(251, 758)(252, 759)(253, 761)(254, 762)(255, 768)(256, 767)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2285
Graph:: bipartite
	v = 192 e = 512 f = 288
	degree seq :: [ 4^128, 8^64 ]

E17.2283 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^4, (Y2^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, Y2^8, Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2^2, (Y2 * Y1^-1)^4, Y2^8, Y2^3 * Y1^-1 * Y2^-1 * Y1 * Y2^4 * Y1^-2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1, (Y2^2 * Y1^-1)^4 ]
Map::
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 61, 317, 29, 285)(17, 273, 37, 293, 74, 330, 39, 295)(20, 276, 43, 299, 82, 338, 41, 297)(22, 278, 47, 303, 88, 344, 45, 301)(24, 280, 51, 307, 98, 354, 53, 309)(26, 282, 46, 302, 69, 325, 42, 298)(27, 283, 56, 312, 106, 362, 58, 314)(30, 286, 59, 315, 71, 327, 40, 296)(32, 288, 65, 321, 119, 375, 63, 319)(33, 289, 66, 322, 122, 378, 68, 324)(36, 292, 72, 328, 130, 386, 70, 326)(38, 294, 76, 332, 139, 395, 78, 334)(44, 300, 86, 342, 154, 410, 84, 340)(48, 304, 92, 348, 164, 420, 90, 346)(50, 306, 96, 352, 168, 424, 94, 350)(52, 308, 100, 356, 125, 381, 101, 357)(54, 310, 95, 351, 160, 416, 91, 347)(55, 311, 83, 339, 151, 407, 105, 361)(57, 313, 108, 364, 172, 428, 109, 365)(60, 316, 112, 368, 185, 441, 114, 370)(62, 318, 116, 372, 184, 440, 111, 367)(64, 320, 79, 335, 136, 392, 115, 371)(67, 323, 124, 380, 194, 450, 126, 382)(73, 329, 134, 390, 207, 463, 132, 388)(75, 331, 137, 393, 211, 467, 135, 391)(77, 333, 141, 397, 93, 349, 142, 398)(80, 336, 131, 387, 204, 460, 146, 402)(81, 337, 147, 403, 218, 474, 149, 405)(85, 341, 127, 383, 191, 447, 150, 406)(87, 343, 157, 413, 223, 479, 159, 415)(89, 345, 161, 417, 199, 455, 128, 384)(97, 353, 171, 427, 193, 449, 140, 396)(99, 355, 173, 429, 195, 451, 138, 394)(102, 358, 145, 401, 216, 472, 170, 426)(103, 359, 165, 421, 197, 453, 155, 411)(104, 360, 177, 433, 234, 490, 178, 434)(107, 363, 174, 430, 233, 489, 180, 436)(110, 366, 181, 437, 203, 459, 133, 389)(113, 369, 163, 419, 201, 457, 153, 409)(117, 373, 156, 412, 219, 475, 187, 443)(118, 374, 158, 414, 206, 462, 148, 404)(120, 376, 182, 438, 208, 464, 144, 400)(121, 377, 186, 442, 227, 483, 162, 418)(123, 379, 192, 448, 241, 497, 190, 446)(129, 385, 200, 456, 248, 504, 202, 458)(143, 399, 198, 454, 246, 502, 213, 469)(152, 408, 209, 465, 249, 505, 220, 476)(166, 422, 225, 481, 250, 506, 205, 461)(167, 423, 231, 487, 240, 496, 232, 488)(169, 425, 212, 468, 242, 498, 226, 482)(175, 431, 215, 471, 251, 507, 230, 486)(176, 432, 221, 477, 252, 508, 236, 492)(179, 435, 217, 473, 247, 503, 228, 484)(183, 439, 238, 494, 243, 499, 196, 452)(188, 444, 222, 478, 244, 500, 237, 493)(189, 445, 214, 470, 245, 501, 229, 485)(210, 466, 253, 509, 224, 480, 254, 510)(235, 491, 255, 511, 239, 495, 256, 512)(513, 769, 515, 771, 522, 778, 536, 792, 564, 820, 544, 800, 526, 782, 517, 773)(514, 770, 519, 775, 529, 785, 550, 806, 589, 845, 556, 812, 532, 788, 520, 776)(516, 772, 524, 780, 539, 795, 569, 825, 605, 861, 560, 816, 534, 790, 521, 777)(518, 774, 527, 783, 545, 801, 579, 835, 637, 893, 585, 841, 548, 804, 528, 784)(523, 779, 538, 794, 567, 823, 616, 872, 684, 940, 609, 865, 562, 818, 535, 791)(525, 781, 541, 797, 572, 828, 625, 881, 666, 922, 629, 885, 574, 830, 542, 798)(530, 786, 552, 808, 592, 848, 657, 913, 610, 866, 650, 906, 587, 843, 549, 805)(531, 787, 553, 809, 593, 849, 660, 916, 719, 975, 664, 920, 595, 851, 554, 810)(533, 789, 557, 813, 599, 855, 670, 926, 631, 887, 674, 930, 601, 857, 558, 814)(537, 793, 566, 822, 615, 871, 688, 944, 746, 1002, 686, 942, 611, 867, 563, 819)(540, 796, 571, 827, 623, 879, 695, 951, 706, 962, 685, 941, 619, 875, 568, 824)(543, 799, 575, 831, 630, 886, 661, 917, 731, 987, 700, 956, 632, 888, 576, 832)(546, 802, 581, 837, 640, 896, 710, 966, 651, 907, 705, 961, 635, 891, 578, 834)(547, 803, 582, 838, 641, 897, 713, 969, 676, 932, 717, 973, 643, 899, 583, 839)(551, 807, 591, 847, 656, 912, 727, 983, 682, 938, 608, 864, 652, 908, 588, 844)(555, 811, 596, 852, 665, 921, 714, 970, 761, 1017, 733, 989, 667, 923, 597, 853)(559, 815, 602, 858, 675, 931, 626, 882, 698, 954, 741, 997, 677, 933, 603, 859)(561, 817, 606, 862, 679, 935, 624, 880, 573, 829, 627, 883, 681, 937, 607, 863)(565, 821, 614, 870, 687, 943, 747, 1003, 764, 1020, 721, 977, 646, 902, 612, 868)(570, 826, 622, 878, 694, 950, 749, 1005, 755, 1011, 704, 960, 683, 939, 620, 876)(577, 833, 613, 869, 638, 894, 708, 964, 756, 1012, 751, 1007, 701, 957, 633, 889)(580, 836, 639, 895, 709, 965, 757, 1013, 725, 981, 649, 905, 707, 963, 636, 892)(584, 840, 644, 900, 718, 974, 671, 927, 737, 993, 763, 1019, 720, 976, 645, 901)(586, 842, 647, 903, 722, 978, 659, 915, 594, 850, 662, 918, 724, 980, 648, 904)(590, 846, 655, 911, 726, 982, 767, 1023, 742, 998, 678, 934, 604, 860, 653, 909)(598, 854, 654, 910, 621, 877, 690, 946, 748, 1004, 768, 1024, 734, 990, 668, 924)(600, 856, 672, 928, 738, 994, 693, 949, 618, 874, 692, 948, 736, 992, 669, 925)(617, 873, 691, 947, 628, 884, 699, 955, 730, 986, 766, 1022, 745, 1001, 689, 945)(634, 890, 702, 958, 752, 1008, 712, 968, 642, 898, 715, 971, 754, 1010, 703, 959)(658, 914, 729, 985, 663, 919, 732, 988, 760, 1016, 743, 999, 680, 936, 728, 984)(673, 929, 739, 995, 697, 953, 744, 1000, 753, 1009, 750, 1006, 696, 952, 740, 996)(711, 967, 759, 1015, 716, 972, 762, 1018, 735, 991, 765, 1021, 723, 979, 758, 1014)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 566)(26, 567)(27, 569)(28, 571)(29, 572)(30, 525)(31, 575)(32, 526)(33, 579)(34, 581)(35, 582)(36, 528)(37, 530)(38, 589)(39, 591)(40, 592)(41, 593)(42, 531)(43, 596)(44, 532)(45, 599)(46, 533)(47, 602)(48, 534)(49, 606)(50, 535)(51, 537)(52, 544)(53, 614)(54, 615)(55, 616)(56, 540)(57, 605)(58, 622)(59, 623)(60, 625)(61, 627)(62, 542)(63, 630)(64, 543)(65, 613)(66, 546)(67, 637)(68, 639)(69, 640)(70, 641)(71, 547)(72, 644)(73, 548)(74, 647)(75, 549)(76, 551)(77, 556)(78, 655)(79, 656)(80, 657)(81, 660)(82, 662)(83, 554)(84, 665)(85, 555)(86, 654)(87, 670)(88, 672)(89, 558)(90, 675)(91, 559)(92, 653)(93, 560)(94, 679)(95, 561)(96, 652)(97, 562)(98, 650)(99, 563)(100, 565)(101, 638)(102, 687)(103, 688)(104, 684)(105, 691)(106, 692)(107, 568)(108, 570)(109, 690)(110, 694)(111, 695)(112, 573)(113, 666)(114, 698)(115, 681)(116, 699)(117, 574)(118, 661)(119, 674)(120, 576)(121, 577)(122, 702)(123, 578)(124, 580)(125, 585)(126, 708)(127, 709)(128, 710)(129, 713)(130, 715)(131, 583)(132, 718)(133, 584)(134, 612)(135, 722)(136, 586)(137, 707)(138, 587)(139, 705)(140, 588)(141, 590)(142, 621)(143, 726)(144, 727)(145, 610)(146, 729)(147, 594)(148, 719)(149, 731)(150, 724)(151, 732)(152, 595)(153, 714)(154, 629)(155, 597)(156, 598)(157, 600)(158, 631)(159, 737)(160, 738)(161, 739)(162, 601)(163, 626)(164, 717)(165, 603)(166, 604)(167, 624)(168, 728)(169, 607)(170, 608)(171, 620)(172, 609)(173, 619)(174, 611)(175, 747)(176, 746)(177, 617)(178, 748)(179, 628)(180, 736)(181, 618)(182, 749)(183, 706)(184, 740)(185, 744)(186, 741)(187, 730)(188, 632)(189, 633)(190, 752)(191, 634)(192, 683)(193, 635)(194, 685)(195, 636)(196, 756)(197, 757)(198, 651)(199, 759)(200, 642)(201, 676)(202, 761)(203, 754)(204, 762)(205, 643)(206, 671)(207, 664)(208, 645)(209, 646)(210, 659)(211, 758)(212, 648)(213, 649)(214, 767)(215, 682)(216, 658)(217, 663)(218, 766)(219, 700)(220, 760)(221, 667)(222, 668)(223, 765)(224, 669)(225, 763)(226, 693)(227, 697)(228, 673)(229, 677)(230, 678)(231, 680)(232, 753)(233, 689)(234, 686)(235, 764)(236, 768)(237, 755)(238, 696)(239, 701)(240, 712)(241, 750)(242, 703)(243, 704)(244, 751)(245, 725)(246, 711)(247, 716)(248, 743)(249, 733)(250, 735)(251, 720)(252, 721)(253, 723)(254, 745)(255, 742)(256, 734)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2284
Graph:: bipartite
	v = 96 e = 512 f = 384
	degree seq :: [ 8^64, 16^32 ]

E17.2284 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|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^-3 * Y2)^2, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1)^2, (Y3^-2 * Y2)^4, (Y3^3 * Y2)^4, (Y3 * Y2 * Y3^-1 * Y2)^4, (Y3^-1 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)(513, 769, 514, 770)(515, 771, 519, 775)(516, 772, 521, 777)(517, 773, 523, 779)(518, 774, 525, 781)(520, 776, 529, 785)(522, 778, 533, 789)(524, 780, 537, 793)(526, 782, 541, 797)(527, 783, 540, 796)(528, 784, 544, 800)(530, 786, 548, 804)(531, 787, 550, 806)(532, 788, 535, 791)(534, 790, 555, 811)(536, 792, 557, 813)(538, 794, 561, 817)(539, 795, 563, 819)(542, 798, 568, 824)(543, 799, 569, 825)(545, 801, 573, 829)(546, 802, 572, 828)(547, 803, 576, 832)(549, 805, 580, 836)(551, 807, 583, 839)(552, 808, 585, 841)(553, 809, 587, 843)(554, 810, 581, 837)(556, 812, 592, 848)(558, 814, 596, 852)(559, 815, 595, 851)(560, 816, 599, 855)(562, 818, 603, 859)(564, 820, 606, 862)(565, 821, 608, 864)(566, 822, 610, 866)(567, 823, 604, 860)(570, 826, 617, 873)(571, 827, 619, 875)(574, 830, 602, 858)(575, 831, 612, 868)(577, 833, 600, 856)(578, 834, 626, 882)(579, 835, 597, 853)(582, 838, 633, 889)(584, 840, 613, 869)(586, 842, 637, 893)(588, 844, 611, 867)(589, 845, 598, 854)(590, 846, 607, 863)(591, 847, 638, 894)(593, 849, 645, 901)(594, 850, 647, 903)(601, 857, 654, 910)(605, 861, 661, 917)(609, 865, 665, 921)(614, 870, 666, 922)(615, 871, 643, 899)(616, 872, 671, 927)(618, 874, 658, 914)(620, 876, 677, 933)(621, 877, 660, 916)(622, 878, 679, 935)(623, 879, 675, 931)(624, 880, 681, 937)(625, 881, 683, 939)(627, 883, 674, 930)(628, 884, 680, 936)(629, 885, 672, 928)(630, 886, 646, 902)(631, 887, 663, 919)(632, 888, 649, 905)(634, 890, 690, 946)(635, 891, 659, 915)(636, 892, 692, 948)(639, 895, 694, 950)(640, 896, 697, 953)(641, 897, 693, 949)(642, 898, 691, 947)(644, 900, 700, 956)(648, 904, 706, 962)(650, 906, 708, 964)(651, 907, 704, 960)(652, 908, 710, 966)(653, 909, 712, 968)(655, 911, 703, 959)(656, 912, 709, 965)(657, 913, 701, 957)(662, 918, 719, 975)(664, 920, 721, 977)(667, 923, 723, 979)(668, 924, 726, 982)(669, 925, 722, 978)(670, 926, 720, 976)(673, 929, 730, 986)(676, 932, 705, 961)(678, 934, 734, 990)(682, 938, 716, 972)(684, 940, 732, 988)(685, 941, 728, 984)(686, 942, 737, 993)(687, 943, 711, 967)(688, 944, 725, 981)(689, 945, 718, 974)(695, 951, 743, 999)(696, 952, 717, 973)(698, 954, 744, 1000)(699, 955, 714, 970)(702, 958, 747, 1003)(707, 963, 751, 1007)(713, 969, 749, 1005)(715, 971, 754, 1010)(724, 980, 760, 1016)(727, 983, 761, 1017)(729, 985, 750, 1006)(731, 987, 753, 1009)(733, 989, 746, 1002)(735, 991, 752, 1008)(736, 992, 748, 1004)(738, 994, 759, 1015)(739, 995, 757, 1013)(740, 996, 756, 1012)(741, 997, 762, 1018)(742, 998, 755, 1011)(745, 1001, 758, 1014)(763, 1019, 767, 1023)(764, 1020, 766, 1022)(765, 1021, 768, 1024)
	L = (1, 515)(2, 517)(3, 520)(4, 513)(5, 524)(6, 514)(7, 527)(8, 530)(9, 531)(10, 516)(11, 535)(12, 538)(13, 539)(14, 518)(15, 543)(16, 519)(17, 546)(18, 549)(19, 551)(20, 521)(21, 553)(22, 522)(23, 556)(24, 523)(25, 559)(26, 562)(27, 564)(28, 525)(29, 566)(30, 526)(31, 570)(32, 571)(33, 528)(34, 575)(35, 529)(36, 578)(37, 534)(38, 581)(39, 584)(40, 532)(41, 588)(42, 533)(43, 590)(44, 593)(45, 594)(46, 536)(47, 598)(48, 537)(49, 601)(50, 542)(51, 604)(52, 607)(53, 540)(54, 611)(55, 541)(56, 613)(57, 615)(58, 618)(59, 620)(60, 544)(61, 622)(62, 545)(63, 624)(64, 625)(65, 547)(66, 628)(67, 548)(68, 630)(69, 632)(70, 550)(71, 634)(72, 635)(73, 636)(74, 552)(75, 638)(76, 639)(77, 554)(78, 641)(79, 555)(80, 643)(81, 646)(82, 648)(83, 557)(84, 650)(85, 558)(86, 652)(87, 653)(88, 560)(89, 656)(90, 561)(91, 658)(92, 660)(93, 563)(94, 662)(95, 663)(96, 664)(97, 565)(98, 666)(99, 667)(100, 567)(101, 669)(102, 568)(103, 585)(104, 569)(105, 673)(106, 574)(107, 675)(108, 587)(109, 572)(110, 583)(111, 573)(112, 682)(113, 582)(114, 576)(115, 577)(116, 685)(117, 579)(118, 687)(119, 580)(120, 684)(121, 689)(122, 691)(123, 586)(124, 693)(125, 694)(126, 678)(127, 696)(128, 589)(129, 698)(130, 591)(131, 608)(132, 592)(133, 702)(134, 597)(135, 704)(136, 610)(137, 595)(138, 606)(139, 596)(140, 711)(141, 605)(142, 599)(143, 600)(144, 714)(145, 602)(146, 716)(147, 603)(148, 713)(149, 718)(150, 720)(151, 609)(152, 722)(153, 723)(154, 707)(155, 725)(156, 612)(157, 727)(158, 614)(159, 729)(160, 616)(161, 731)(162, 617)(163, 732)(164, 619)(165, 733)(166, 621)(167, 701)(168, 623)(169, 736)(170, 627)(171, 703)(172, 626)(173, 739)(174, 629)(175, 740)(176, 631)(177, 742)(178, 633)(179, 735)(180, 743)(181, 708)(182, 706)(183, 637)(184, 640)(185, 744)(186, 745)(187, 642)(188, 746)(189, 644)(190, 748)(191, 645)(192, 749)(193, 647)(194, 750)(195, 649)(196, 672)(197, 651)(198, 753)(199, 655)(200, 674)(201, 654)(202, 756)(203, 657)(204, 757)(205, 659)(206, 759)(207, 661)(208, 752)(209, 760)(210, 679)(211, 677)(212, 665)(213, 668)(214, 761)(215, 762)(216, 670)(217, 676)(218, 671)(219, 697)(220, 763)(221, 754)(222, 690)(223, 680)(224, 695)(225, 681)(226, 683)(227, 686)(228, 765)(229, 688)(230, 692)(231, 764)(232, 755)(233, 699)(234, 705)(235, 700)(236, 726)(237, 766)(238, 737)(239, 719)(240, 709)(241, 724)(242, 710)(243, 712)(244, 715)(245, 768)(246, 717)(247, 721)(248, 767)(249, 738)(250, 728)(251, 730)(252, 734)(253, 741)(254, 747)(255, 751)(256, 758)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2283
Graph:: simple bipartite
	v = 384 e = 512 f = 96
	degree seq :: [ 2^256, 4^128 ]

E17.2285 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y1^8, (Y3^-1 * Y1^-1)^4, Y3 * Y1^3 * Y3 * Y1^-1 * Y3^-1 * Y1^3 * Y3^-1 * Y1^-1, Y3 * Y1^2 * Y3 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^-3 * Y3^-1 * Y1 * Y3^-1 * Y1^-3, Y3 * Y1^-2 * Y3 * Y1^-2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^-2, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 257, 2, 258, 5, 261, 11, 267, 23, 279, 22, 278, 10, 266, 4, 260)(3, 259, 7, 263, 15, 271, 31, 287, 57, 313, 37, 293, 18, 274, 8, 264)(6, 262, 13, 269, 27, 283, 51, 307, 92, 348, 56, 312, 30, 286, 14, 270)(9, 265, 19, 275, 38, 294, 69, 325, 120, 376, 74, 330, 40, 296, 20, 276)(12, 268, 25, 281, 47, 303, 86, 342, 140, 396, 91, 347, 50, 306, 26, 282)(16, 272, 33, 289, 61, 317, 108, 364, 132, 388, 84, 340, 63, 319, 34, 290)(17, 273, 35, 291, 64, 320, 112, 368, 133, 389, 97, 353, 53, 309, 28, 284)(21, 277, 41, 297, 75, 331, 126, 382, 184, 440, 128, 384, 77, 333, 42, 298)(24, 280, 45, 301, 82, 338, 135, 391, 192, 448, 139, 395, 85, 341, 46, 302)(29, 285, 54, 310, 98, 354, 76, 332, 127, 383, 144, 400, 88, 344, 48, 304)(32, 288, 59, 315, 105, 361, 162, 418, 189, 445, 146, 402, 90, 346, 60, 316)(36, 292, 66, 322, 116, 372, 173, 429, 190, 446, 142, 398, 87, 343, 67, 323)(39, 295, 71, 327, 122, 378, 137, 393, 83, 339, 49, 305, 89, 345, 72, 328)(43, 299, 78, 334, 129, 385, 186, 442, 233, 489, 187, 443, 130, 386, 79, 335)(44, 300, 80, 336, 131, 387, 188, 444, 234, 490, 191, 447, 134, 390, 81, 337)(52, 308, 94, 350, 73, 329, 124, 380, 180, 436, 196, 452, 138, 394, 95, 351)(55, 311, 100, 356, 70, 326, 121, 377, 177, 433, 194, 450, 136, 392, 101, 357)(58, 314, 104, 360, 160, 416, 218, 474, 235, 491, 216, 472, 158, 414, 102, 358)(62, 318, 110, 366, 167, 423, 117, 373, 174, 430, 221, 477, 163, 419, 106, 362)(65, 321, 114, 370, 143, 399, 201, 457, 161, 417, 107, 363, 164, 420, 115, 371)(68, 324, 118, 374, 175, 431, 229, 485, 236, 492, 193, 449, 176, 432, 119, 375)(93, 349, 149, 405, 206, 462, 185, 441, 232, 488, 246, 502, 205, 461, 147, 403)(96, 352, 152, 408, 209, 465, 157, 413, 215, 471, 166, 422, 109, 365, 150, 406)(99, 355, 155, 411, 195, 451, 239, 495, 207, 463, 151, 407, 208, 464, 156, 412)(103, 359, 148, 404, 198, 454, 237, 493, 254, 510, 251, 507, 217, 473, 159, 415)(111, 367, 169, 425, 113, 369, 171, 427, 226, 482, 238, 494, 219, 475, 170, 426)(123, 379, 179, 435, 230, 486, 181, 437, 231, 487, 244, 500, 202, 458, 178, 434)(125, 381, 182, 438, 224, 480, 240, 496, 197, 453, 141, 397, 199, 455, 183, 439)(145, 401, 203, 459, 165, 421, 222, 478, 241, 497, 200, 456, 242, 498, 204, 460)(153, 409, 211, 467, 154, 410, 213, 469, 249, 505, 220, 476, 247, 503, 212, 468)(168, 424, 225, 481, 243, 499, 256, 512, 253, 509, 223, 479, 250, 506, 214, 470)(172, 428, 228, 484, 245, 501, 210, 466, 248, 504, 255, 511, 252, 508, 227, 483)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 518)(3, 513)(4, 521)(5, 524)(6, 514)(7, 528)(8, 529)(9, 516)(10, 533)(11, 536)(12, 517)(13, 540)(14, 541)(15, 544)(16, 519)(17, 520)(18, 548)(19, 551)(20, 545)(21, 522)(22, 555)(23, 556)(24, 523)(25, 560)(26, 561)(27, 564)(28, 525)(29, 526)(30, 567)(31, 570)(32, 527)(33, 532)(34, 574)(35, 577)(36, 530)(37, 580)(38, 582)(39, 531)(40, 585)(41, 588)(42, 583)(43, 534)(44, 535)(45, 595)(46, 596)(47, 599)(48, 537)(49, 538)(50, 602)(51, 605)(52, 539)(53, 608)(54, 611)(55, 542)(56, 614)(57, 615)(58, 543)(59, 618)(60, 619)(61, 621)(62, 546)(63, 623)(64, 625)(65, 547)(66, 629)(67, 626)(68, 549)(69, 630)(70, 550)(71, 554)(72, 635)(73, 552)(74, 637)(75, 628)(76, 553)(77, 617)(78, 624)(79, 639)(80, 644)(81, 645)(82, 648)(83, 557)(84, 558)(85, 650)(86, 653)(87, 559)(88, 655)(89, 657)(90, 562)(91, 659)(92, 660)(93, 563)(94, 662)(95, 663)(96, 565)(97, 665)(98, 666)(99, 566)(100, 669)(101, 667)(102, 568)(103, 569)(104, 673)(105, 589)(106, 571)(107, 572)(108, 677)(109, 573)(110, 680)(111, 575)(112, 590)(113, 576)(114, 579)(115, 684)(116, 587)(117, 578)(118, 581)(119, 686)(120, 671)(121, 690)(122, 675)(123, 584)(124, 693)(125, 586)(126, 694)(127, 591)(128, 697)(129, 692)(130, 689)(131, 701)(132, 592)(133, 593)(134, 702)(135, 705)(136, 594)(137, 707)(138, 597)(139, 709)(140, 710)(141, 598)(142, 712)(143, 600)(144, 714)(145, 601)(146, 715)(147, 603)(148, 604)(149, 719)(150, 606)(151, 607)(152, 722)(153, 609)(154, 610)(155, 613)(156, 726)(157, 612)(158, 727)(159, 632)(160, 731)(161, 616)(162, 732)(163, 634)(164, 717)(165, 620)(166, 735)(167, 736)(168, 622)(169, 708)(170, 737)(171, 739)(172, 627)(173, 723)(174, 631)(175, 721)(176, 738)(177, 642)(178, 633)(179, 740)(180, 641)(181, 636)(182, 638)(183, 743)(184, 729)(185, 640)(186, 744)(187, 730)(188, 747)(189, 643)(190, 646)(191, 748)(192, 749)(193, 647)(194, 750)(195, 649)(196, 681)(197, 651)(198, 652)(199, 753)(200, 654)(201, 755)(202, 656)(203, 658)(204, 757)(205, 676)(206, 759)(207, 661)(208, 752)(209, 687)(210, 664)(211, 685)(212, 760)(213, 762)(214, 668)(215, 670)(216, 761)(217, 696)(218, 699)(219, 672)(220, 674)(221, 764)(222, 765)(223, 678)(224, 679)(225, 682)(226, 688)(227, 683)(228, 691)(229, 754)(230, 758)(231, 695)(232, 698)(233, 763)(234, 766)(235, 700)(236, 703)(237, 704)(238, 706)(239, 767)(240, 720)(241, 711)(242, 741)(243, 713)(244, 768)(245, 716)(246, 742)(247, 718)(248, 724)(249, 728)(250, 725)(251, 745)(252, 733)(253, 734)(254, 746)(255, 751)(256, 756)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2282
Graph:: simple bipartite
	v = 288 e = 512 f = 192
	degree seq :: [ 2^256, 16^32 ]

E17.2286 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^4, (Y2^2 * Y1 * Y2^-2 * Y1)^2, (Y2^-2 * Y1)^4, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-2)^2, (Y2^3 * Y1)^4, (Y2 * Y1 * Y2^-1 * Y1)^4 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 11, 267)(6, 262, 13, 269)(8, 264, 17, 273)(10, 266, 21, 277)(12, 268, 25, 281)(14, 270, 29, 285)(15, 271, 28, 284)(16, 272, 32, 288)(18, 274, 36, 292)(19, 275, 38, 294)(20, 276, 23, 279)(22, 278, 43, 299)(24, 280, 45, 301)(26, 282, 49, 305)(27, 283, 51, 307)(30, 286, 56, 312)(31, 287, 57, 313)(33, 289, 61, 317)(34, 290, 60, 316)(35, 291, 64, 320)(37, 293, 68, 324)(39, 295, 71, 327)(40, 296, 73, 329)(41, 297, 75, 331)(42, 298, 69, 325)(44, 300, 80, 336)(46, 302, 84, 340)(47, 303, 83, 339)(48, 304, 87, 343)(50, 306, 91, 347)(52, 308, 94, 350)(53, 309, 96, 352)(54, 310, 98, 354)(55, 311, 92, 348)(58, 314, 105, 361)(59, 315, 107, 363)(62, 318, 90, 346)(63, 319, 100, 356)(65, 321, 88, 344)(66, 322, 114, 370)(67, 323, 85, 341)(70, 326, 121, 377)(72, 328, 101, 357)(74, 330, 125, 381)(76, 332, 99, 355)(77, 333, 86, 342)(78, 334, 95, 351)(79, 335, 126, 382)(81, 337, 133, 389)(82, 338, 135, 391)(89, 345, 142, 398)(93, 349, 149, 405)(97, 353, 153, 409)(102, 358, 154, 410)(103, 359, 131, 387)(104, 360, 159, 415)(106, 362, 146, 402)(108, 364, 165, 421)(109, 365, 148, 404)(110, 366, 167, 423)(111, 367, 163, 419)(112, 368, 169, 425)(113, 369, 171, 427)(115, 371, 162, 418)(116, 372, 168, 424)(117, 373, 160, 416)(118, 374, 134, 390)(119, 375, 151, 407)(120, 376, 137, 393)(122, 378, 178, 434)(123, 379, 147, 403)(124, 380, 180, 436)(127, 383, 182, 438)(128, 384, 185, 441)(129, 385, 181, 437)(130, 386, 179, 435)(132, 388, 188, 444)(136, 392, 194, 450)(138, 394, 196, 452)(139, 395, 192, 448)(140, 396, 198, 454)(141, 397, 200, 456)(143, 399, 191, 447)(144, 400, 197, 453)(145, 401, 189, 445)(150, 406, 207, 463)(152, 408, 209, 465)(155, 411, 211, 467)(156, 412, 214, 470)(157, 413, 210, 466)(158, 414, 208, 464)(161, 417, 218, 474)(164, 420, 193, 449)(166, 422, 222, 478)(170, 426, 204, 460)(172, 428, 220, 476)(173, 429, 216, 472)(174, 430, 225, 481)(175, 431, 199, 455)(176, 432, 213, 469)(177, 433, 206, 462)(183, 439, 231, 487)(184, 440, 205, 461)(186, 442, 232, 488)(187, 443, 202, 458)(190, 446, 235, 491)(195, 451, 239, 495)(201, 457, 237, 493)(203, 459, 242, 498)(212, 468, 248, 504)(215, 471, 249, 505)(217, 473, 238, 494)(219, 475, 241, 497)(221, 477, 234, 490)(223, 479, 240, 496)(224, 480, 236, 492)(226, 482, 247, 503)(227, 483, 245, 501)(228, 484, 244, 500)(229, 485, 250, 506)(230, 486, 243, 499)(233, 489, 246, 502)(251, 507, 255, 511)(252, 508, 254, 510)(253, 509, 256, 512)(513, 769, 515, 771, 520, 776, 530, 786, 549, 805, 534, 790, 522, 778, 516, 772)(514, 770, 517, 773, 524, 780, 538, 794, 562, 818, 542, 798, 526, 782, 518, 774)(519, 775, 527, 783, 543, 799, 570, 826, 618, 874, 574, 830, 545, 801, 528, 784)(521, 777, 531, 787, 551, 807, 584, 840, 635, 891, 586, 842, 552, 808, 532, 788)(523, 779, 535, 791, 556, 812, 593, 849, 646, 902, 597, 853, 558, 814, 536, 792)(525, 781, 539, 795, 564, 820, 607, 863, 663, 919, 609, 865, 565, 821, 540, 796)(529, 785, 546, 802, 575, 831, 624, 880, 682, 938, 627, 883, 577, 833, 547, 803)(533, 789, 553, 809, 588, 844, 639, 895, 696, 952, 640, 896, 589, 845, 554, 810)(537, 793, 559, 815, 598, 854, 652, 908, 711, 967, 655, 911, 600, 856, 560, 816)(541, 797, 566, 822, 611, 867, 667, 923, 725, 981, 668, 924, 612, 868, 567, 823)(544, 800, 571, 827, 620, 876, 587, 843, 638, 894, 678, 934, 621, 877, 572, 828)(548, 804, 578, 834, 628, 884, 685, 941, 739, 995, 686, 942, 629, 885, 579, 835)(550, 806, 581, 837, 632, 888, 684, 940, 626, 882, 576, 832, 625, 881, 582, 838)(555, 811, 590, 846, 641, 897, 698, 954, 745, 1001, 699, 955, 642, 898, 591, 847)(557, 813, 594, 850, 648, 904, 610, 866, 666, 922, 707, 963, 649, 905, 595, 851)(561, 817, 601, 857, 656, 912, 714, 970, 756, 1012, 715, 971, 657, 913, 602, 858)(563, 819, 604, 860, 660, 916, 713, 969, 654, 910, 599, 855, 653, 909, 605, 861)(568, 824, 613, 869, 669, 925, 727, 983, 762, 1018, 728, 984, 670, 926, 614, 870)(569, 825, 615, 871, 585, 841, 636, 892, 693, 949, 708, 964, 672, 928, 616, 872)(573, 829, 622, 878, 583, 839, 634, 890, 691, 947, 735, 991, 680, 936, 623, 879)(580, 836, 630, 886, 687, 943, 740, 996, 765, 1021, 741, 997, 688, 944, 631, 887)(592, 848, 643, 899, 608, 864, 664, 920, 722, 978, 679, 935, 701, 957, 644, 900)(596, 852, 650, 906, 606, 862, 662, 918, 720, 976, 752, 1008, 709, 965, 651, 907)(603, 859, 658, 914, 716, 972, 757, 1013, 768, 1024, 758, 1014, 717, 973, 659, 915)(617, 873, 673, 929, 731, 987, 697, 953, 744, 1000, 755, 1011, 712, 968, 674, 930)(619, 875, 675, 931, 732, 988, 763, 1019, 730, 986, 671, 927, 729, 985, 676, 932)(633, 889, 689, 945, 742, 998, 692, 948, 743, 999, 764, 1020, 734, 990, 690, 946)(637, 893, 694, 950, 706, 962, 750, 1006, 737, 993, 681, 937, 736, 992, 695, 951)(645, 901, 702, 958, 748, 1004, 726, 982, 761, 1017, 738, 994, 683, 939, 703, 959)(647, 903, 704, 960, 749, 1005, 766, 1022, 747, 1003, 700, 956, 746, 1002, 705, 961)(661, 917, 718, 974, 759, 1015, 721, 977, 760, 1016, 767, 1023, 751, 1007, 719, 975)(665, 921, 723, 979, 677, 933, 733, 989, 754, 1010, 710, 966, 753, 1009, 724, 980)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 523)(6, 525)(7, 515)(8, 529)(9, 516)(10, 533)(11, 517)(12, 537)(13, 518)(14, 541)(15, 540)(16, 544)(17, 520)(18, 548)(19, 550)(20, 535)(21, 522)(22, 555)(23, 532)(24, 557)(25, 524)(26, 561)(27, 563)(28, 527)(29, 526)(30, 568)(31, 569)(32, 528)(33, 573)(34, 572)(35, 576)(36, 530)(37, 580)(38, 531)(39, 583)(40, 585)(41, 587)(42, 581)(43, 534)(44, 592)(45, 536)(46, 596)(47, 595)(48, 599)(49, 538)(50, 603)(51, 539)(52, 606)(53, 608)(54, 610)(55, 604)(56, 542)(57, 543)(58, 617)(59, 619)(60, 546)(61, 545)(62, 602)(63, 612)(64, 547)(65, 600)(66, 626)(67, 597)(68, 549)(69, 554)(70, 633)(71, 551)(72, 613)(73, 552)(74, 637)(75, 553)(76, 611)(77, 598)(78, 607)(79, 638)(80, 556)(81, 645)(82, 647)(83, 559)(84, 558)(85, 579)(86, 589)(87, 560)(88, 577)(89, 654)(90, 574)(91, 562)(92, 567)(93, 661)(94, 564)(95, 590)(96, 565)(97, 665)(98, 566)(99, 588)(100, 575)(101, 584)(102, 666)(103, 643)(104, 671)(105, 570)(106, 658)(107, 571)(108, 677)(109, 660)(110, 679)(111, 675)(112, 681)(113, 683)(114, 578)(115, 674)(116, 680)(117, 672)(118, 646)(119, 663)(120, 649)(121, 582)(122, 690)(123, 659)(124, 692)(125, 586)(126, 591)(127, 694)(128, 697)(129, 693)(130, 691)(131, 615)(132, 700)(133, 593)(134, 630)(135, 594)(136, 706)(137, 632)(138, 708)(139, 704)(140, 710)(141, 712)(142, 601)(143, 703)(144, 709)(145, 701)(146, 618)(147, 635)(148, 621)(149, 605)(150, 719)(151, 631)(152, 721)(153, 609)(154, 614)(155, 723)(156, 726)(157, 722)(158, 720)(159, 616)(160, 629)(161, 730)(162, 627)(163, 623)(164, 705)(165, 620)(166, 734)(167, 622)(168, 628)(169, 624)(170, 716)(171, 625)(172, 732)(173, 728)(174, 737)(175, 711)(176, 725)(177, 718)(178, 634)(179, 642)(180, 636)(181, 641)(182, 639)(183, 743)(184, 717)(185, 640)(186, 744)(187, 714)(188, 644)(189, 657)(190, 747)(191, 655)(192, 651)(193, 676)(194, 648)(195, 751)(196, 650)(197, 656)(198, 652)(199, 687)(200, 653)(201, 749)(202, 699)(203, 754)(204, 682)(205, 696)(206, 689)(207, 662)(208, 670)(209, 664)(210, 669)(211, 667)(212, 760)(213, 688)(214, 668)(215, 761)(216, 685)(217, 750)(218, 673)(219, 753)(220, 684)(221, 746)(222, 678)(223, 752)(224, 748)(225, 686)(226, 759)(227, 757)(228, 756)(229, 762)(230, 755)(231, 695)(232, 698)(233, 758)(234, 733)(235, 702)(236, 736)(237, 713)(238, 729)(239, 707)(240, 735)(241, 731)(242, 715)(243, 742)(244, 740)(245, 739)(246, 745)(247, 738)(248, 724)(249, 727)(250, 741)(251, 767)(252, 766)(253, 768)(254, 764)(255, 763)(256, 765)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2287
Graph:: bipartite
	v = 160 e = 512 f = 320
	degree seq :: [ 4^128, 16^32 ]

E17.2287 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 382>$ (small group id <256, 382>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3^-1 * Y1)^4, Y1^-1 * Y3^-3 * Y1 * Y3 * Y1^-1 * Y3^-4 * Y1^-1, Y3^3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-1 * Y3^3, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^3 * Y1^-1 * Y3^-2 * Y1^-1, (Y3^2 * Y1^-1)^4, (Y3 * Y2^-1)^8 ]
Map:: polytopal
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 61, 317, 29, 285)(17, 273, 37, 293, 74, 330, 39, 295)(20, 276, 43, 299, 82, 338, 41, 297)(22, 278, 47, 303, 88, 344, 45, 301)(24, 280, 51, 307, 98, 354, 53, 309)(26, 282, 46, 302, 69, 325, 42, 298)(27, 283, 56, 312, 106, 362, 58, 314)(30, 286, 59, 315, 71, 327, 40, 296)(32, 288, 65, 321, 119, 375, 63, 319)(33, 289, 66, 322, 122, 378, 68, 324)(36, 292, 72, 328, 130, 386, 70, 326)(38, 294, 76, 332, 139, 395, 78, 334)(44, 300, 86, 342, 154, 410, 84, 340)(48, 304, 92, 348, 164, 420, 90, 346)(50, 306, 96, 352, 168, 424, 94, 350)(52, 308, 100, 356, 125, 381, 101, 357)(54, 310, 95, 351, 160, 416, 91, 347)(55, 311, 83, 339, 151, 407, 105, 361)(57, 313, 108, 364, 172, 428, 109, 365)(60, 316, 112, 368, 185, 441, 114, 370)(62, 318, 116, 372, 184, 440, 111, 367)(64, 320, 79, 335, 136, 392, 115, 371)(67, 323, 124, 380, 194, 450, 126, 382)(73, 329, 134, 390, 207, 463, 132, 388)(75, 331, 137, 393, 211, 467, 135, 391)(77, 333, 141, 397, 93, 349, 142, 398)(80, 336, 131, 387, 204, 460, 146, 402)(81, 337, 147, 403, 218, 474, 149, 405)(85, 341, 127, 383, 191, 447, 150, 406)(87, 343, 157, 413, 223, 479, 159, 415)(89, 345, 161, 417, 199, 455, 128, 384)(97, 353, 171, 427, 193, 449, 140, 396)(99, 355, 173, 429, 195, 451, 138, 394)(102, 358, 145, 401, 216, 472, 170, 426)(103, 359, 165, 421, 197, 453, 155, 411)(104, 360, 177, 433, 234, 490, 178, 434)(107, 363, 174, 430, 233, 489, 180, 436)(110, 366, 181, 437, 203, 459, 133, 389)(113, 369, 163, 419, 201, 457, 153, 409)(117, 373, 156, 412, 219, 475, 187, 443)(118, 374, 158, 414, 206, 462, 148, 404)(120, 376, 182, 438, 208, 464, 144, 400)(121, 377, 186, 442, 227, 483, 162, 418)(123, 379, 192, 448, 241, 497, 190, 446)(129, 385, 200, 456, 248, 504, 202, 458)(143, 399, 198, 454, 246, 502, 213, 469)(152, 408, 209, 465, 249, 505, 220, 476)(166, 422, 225, 481, 250, 506, 205, 461)(167, 423, 231, 487, 240, 496, 232, 488)(169, 425, 212, 468, 242, 498, 226, 482)(175, 431, 215, 471, 251, 507, 230, 486)(176, 432, 221, 477, 252, 508, 236, 492)(179, 435, 217, 473, 247, 503, 228, 484)(183, 439, 238, 494, 243, 499, 196, 452)(188, 444, 222, 478, 244, 500, 237, 493)(189, 445, 214, 470, 245, 501, 229, 485)(210, 466, 253, 509, 224, 480, 254, 510)(235, 491, 255, 511, 239, 495, 256, 512)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 566)(26, 567)(27, 569)(28, 571)(29, 572)(30, 525)(31, 575)(32, 526)(33, 579)(34, 581)(35, 582)(36, 528)(37, 530)(38, 589)(39, 591)(40, 592)(41, 593)(42, 531)(43, 596)(44, 532)(45, 599)(46, 533)(47, 602)(48, 534)(49, 606)(50, 535)(51, 537)(52, 544)(53, 614)(54, 615)(55, 616)(56, 540)(57, 605)(58, 622)(59, 623)(60, 625)(61, 627)(62, 542)(63, 630)(64, 543)(65, 613)(66, 546)(67, 637)(68, 639)(69, 640)(70, 641)(71, 547)(72, 644)(73, 548)(74, 647)(75, 549)(76, 551)(77, 556)(78, 655)(79, 656)(80, 657)(81, 660)(82, 662)(83, 554)(84, 665)(85, 555)(86, 654)(87, 670)(88, 672)(89, 558)(90, 675)(91, 559)(92, 653)(93, 560)(94, 679)(95, 561)(96, 652)(97, 562)(98, 650)(99, 563)(100, 565)(101, 638)(102, 687)(103, 688)(104, 684)(105, 691)(106, 692)(107, 568)(108, 570)(109, 690)(110, 694)(111, 695)(112, 573)(113, 666)(114, 698)(115, 681)(116, 699)(117, 574)(118, 661)(119, 674)(120, 576)(121, 577)(122, 702)(123, 578)(124, 580)(125, 585)(126, 708)(127, 709)(128, 710)(129, 713)(130, 715)(131, 583)(132, 718)(133, 584)(134, 612)(135, 722)(136, 586)(137, 707)(138, 587)(139, 705)(140, 588)(141, 590)(142, 621)(143, 726)(144, 727)(145, 610)(146, 729)(147, 594)(148, 719)(149, 731)(150, 724)(151, 732)(152, 595)(153, 714)(154, 629)(155, 597)(156, 598)(157, 600)(158, 631)(159, 737)(160, 738)(161, 739)(162, 601)(163, 626)(164, 717)(165, 603)(166, 604)(167, 624)(168, 728)(169, 607)(170, 608)(171, 620)(172, 609)(173, 619)(174, 611)(175, 747)(176, 746)(177, 617)(178, 748)(179, 628)(180, 736)(181, 618)(182, 749)(183, 706)(184, 740)(185, 744)(186, 741)(187, 730)(188, 632)(189, 633)(190, 752)(191, 634)(192, 683)(193, 635)(194, 685)(195, 636)(196, 756)(197, 757)(198, 651)(199, 759)(200, 642)(201, 676)(202, 761)(203, 754)(204, 762)(205, 643)(206, 671)(207, 664)(208, 645)(209, 646)(210, 659)(211, 758)(212, 648)(213, 649)(214, 767)(215, 682)(216, 658)(217, 663)(218, 766)(219, 700)(220, 760)(221, 667)(222, 668)(223, 765)(224, 669)(225, 763)(226, 693)(227, 697)(228, 673)(229, 677)(230, 678)(231, 680)(232, 753)(233, 689)(234, 686)(235, 764)(236, 768)(237, 755)(238, 696)(239, 701)(240, 712)(241, 750)(242, 703)(243, 704)(244, 751)(245, 725)(246, 711)(247, 716)(248, 743)(249, 733)(250, 735)(251, 720)(252, 721)(253, 723)(254, 745)(255, 742)(256, 734)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2286
Graph:: simple bipartite
	v = 320 e = 512 f = 160
	degree seq :: [ 2^256, 8^64 ]

E17.2288 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T1^-1 * T2)^4, (T1^-1 * T2 * T1^-3)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * 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, 60, 93, 67, 74, 62, 34)(17, 35, 63, 88, 57, 83, 53, 28)(29, 54, 84, 72, 79, 111, 76, 48)(32, 58, 89, 66, 36, 65, 92, 59)(39, 69, 103, 107, 73, 49, 77, 70)(52, 80, 115, 87, 55, 86, 118, 81)(61, 95, 132, 100, 129, 168, 126, 90)(64, 98, 137, 161, 120, 91, 127, 99)(68, 101, 139, 106, 71, 105, 141, 102)(75, 108, 146, 114, 78, 113, 149, 109)(82, 119, 159, 124, 97, 136, 156, 116)(85, 122, 163, 194, 151, 117, 157, 123)(94, 130, 172, 135, 96, 134, 174, 131)(104, 143, 185, 144, 145, 187, 182, 140)(110, 150, 192, 154, 121, 162, 189, 147)(112, 152, 195, 184, 142, 148, 190, 153)(125, 165, 209, 171, 128, 170, 212, 166)(133, 176, 206, 164, 208, 173, 193, 177)(138, 180, 205, 160, 204, 186, 196, 178)(155, 197, 231, 202, 158, 201, 234, 198)(167, 200, 235, 215, 175, 207, 233, 210)(169, 213, 240, 218, 179, 211, 238, 214)(181, 219, 243, 222, 183, 221, 244, 220)(188, 223, 245, 228, 191, 227, 248, 224)(199, 226, 249, 236, 203, 230, 247, 232)(216, 241, 250, 229, 217, 242, 246, 225)(237, 252, 255, 254, 239, 251, 256, 253)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 24)(13, 28)(14, 29)(15, 32)(18, 36)(19, 39)(20, 33)(22, 43)(23, 44)(25, 48)(26, 49)(27, 52)(30, 55)(31, 57)(34, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 210)(166, 211)(168, 208)(170, 215)(171, 213)(172, 216)(174, 217)(177, 194)(180, 187)(182, 214)(184, 205)(185, 218)(189, 225)(190, 226)(192, 229)(195, 230)(197, 232)(198, 233)(201, 236)(202, 235)(209, 237)(212, 239)(219, 238)(220, 241)(221, 240)(222, 242)(223, 246)(224, 247)(227, 250)(228, 249)(231, 251)(234, 252)(243, 254)(244, 253)(245, 255)(248, 256)
	local type(s) :: { ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2289
Transitivity :: ET+ VT+ AT+ REG+
Graph:: bipartite
	v = 32 e = 128 f = 64
	degree seq :: [ 8^32 ]

E17.2289 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 8})
Quotient :: regular
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2)^2, (T1 * T2)^8, (T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^2, T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1, (T2 * T1^-2)^8 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 80, 49)(30, 50, 83, 51)(32, 53, 88, 54)(33, 55, 91, 56)(34, 57, 94, 58)(42, 69, 93, 70)(43, 71, 115, 72)(45, 74, 119, 75)(46, 76, 89, 77)(47, 78, 124, 79)(52, 86, 131, 87)(60, 98, 85, 99)(61, 100, 146, 101)(63, 103, 150, 104)(64, 105, 81, 106)(66, 108, 157, 109)(67, 110, 143, 97)(68, 111, 160, 112)(73, 118, 141, 95)(82, 127, 174, 128)(84, 129, 176, 130)(90, 135, 181, 136)(92, 138, 185, 139)(96, 142, 180, 134)(102, 149, 178, 132)(107, 155, 199, 156)(113, 144, 123, 154)(114, 162, 206, 163)(116, 165, 196, 166)(117, 167, 120, 145)(121, 170, 194, 147)(122, 148, 195, 151)(125, 137, 184, 172)(126, 133, 179, 173)(140, 188, 219, 189)(152, 198, 161, 182)(153, 183, 217, 186)(158, 191, 223, 202)(159, 203, 228, 204)(164, 197, 221, 200)(168, 192, 175, 187)(169, 201, 226, 208)(171, 209, 232, 210)(177, 212, 234, 213)(190, 215, 238, 222)(193, 218, 236, 220)(205, 230, 237, 214)(207, 227, 245, 229)(211, 233, 235, 216)(224, 241, 254, 242)(225, 243, 249, 244)(231, 246, 255, 247)(239, 250, 256, 251)(240, 252, 248, 253)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 81)(49, 82)(50, 84)(51, 85)(53, 89)(54, 90)(55, 92)(56, 93)(57, 95)(58, 96)(59, 97)(62, 102)(65, 107)(69, 113)(70, 114)(71, 116)(72, 117)(74, 120)(75, 121)(76, 122)(77, 123)(78, 125)(79, 111)(80, 126)(83, 108)(86, 132)(87, 133)(88, 134)(91, 137)(94, 140)(98, 144)(99, 145)(100, 147)(101, 148)(103, 151)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(112, 161)(115, 164)(118, 168)(119, 169)(124, 171)(127, 175)(128, 162)(129, 163)(130, 165)(131, 177)(135, 182)(136, 183)(138, 186)(139, 187)(141, 190)(142, 191)(143, 192)(146, 193)(149, 196)(150, 197)(155, 200)(156, 201)(157, 198)(160, 205)(166, 180)(167, 207)(170, 184)(172, 204)(173, 194)(174, 208)(176, 211)(178, 214)(179, 215)(181, 216)(185, 218)(188, 220)(189, 221)(195, 224)(199, 225)(202, 227)(203, 229)(206, 231)(209, 226)(210, 233)(212, 235)(213, 236)(217, 239)(219, 240)(222, 241)(223, 242)(228, 246)(230, 247)(232, 248)(234, 249)(237, 250)(238, 251)(243, 254)(244, 255)(245, 253)(252, 256)
	local type(s) :: { ( 8^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2288
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 128 f = 32
	degree seq :: [ 4^64 ]

E17.2290 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^2 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1, (T2^-2 * T1)^8 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 66, 40)(25, 42, 71, 43)(28, 47, 79, 48)(30, 50, 84, 51)(31, 52, 87, 53)(33, 55, 92, 56)(36, 60, 100, 61)(38, 63, 105, 64)(41, 68, 111, 69)(44, 73, 118, 74)(46, 76, 123, 77)(49, 81, 128, 82)(54, 89, 135, 90)(57, 94, 142, 95)(59, 97, 147, 98)(62, 102, 152, 103)(65, 107, 85, 108)(67, 109, 155, 110)(70, 113, 159, 114)(72, 116, 78, 117)(75, 120, 166, 121)(80, 125, 173, 126)(83, 129, 176, 130)(86, 131, 106, 132)(88, 133, 177, 134)(91, 137, 181, 138)(93, 140, 99, 141)(96, 144, 188, 145)(101, 149, 195, 150)(104, 153, 198, 154)(112, 157, 182, 158)(115, 161, 202, 162)(119, 164, 205, 165)(122, 168, 208, 169)(124, 167, 207, 171)(127, 170, 194, 174)(136, 179, 160, 180)(139, 183, 215, 184)(143, 186, 218, 187)(146, 190, 221, 191)(148, 189, 220, 193)(151, 192, 172, 196)(156, 200, 227, 201)(163, 203, 228, 204)(175, 209, 232, 210)(178, 213, 236, 214)(185, 216, 237, 217)(197, 222, 241, 223)(199, 225, 243, 226)(206, 230, 247, 231)(211, 233, 246, 229)(212, 234, 249, 235)(219, 239, 253, 240)(224, 242, 252, 238)(244, 255, 248, 251)(245, 250, 256, 254)(257, 258)(259, 263)(260, 265)(261, 266)(262, 268)(264, 271)(267, 276)(269, 279)(270, 281)(272, 284)(273, 286)(274, 287)(275, 289)(277, 292)(278, 294)(280, 297)(282, 300)(283, 302)(285, 305)(288, 310)(290, 313)(291, 315)(293, 318)(295, 321)(296, 323)(298, 326)(299, 328)(301, 331)(303, 334)(304, 336)(306, 339)(307, 341)(308, 342)(309, 344)(311, 347)(312, 349)(314, 352)(316, 355)(317, 357)(319, 360)(320, 362)(322, 354)(324, 359)(325, 368)(327, 371)(329, 361)(330, 375)(332, 378)(333, 343)(335, 380)(337, 383)(338, 345)(340, 350)(346, 392)(348, 395)(351, 399)(353, 402)(356, 404)(358, 407)(363, 387)(364, 397)(365, 406)(366, 409)(367, 412)(369, 410)(370, 416)(372, 419)(373, 388)(374, 414)(376, 418)(377, 423)(379, 426)(381, 428)(382, 389)(384, 431)(385, 390)(386, 393)(391, 434)(394, 438)(396, 441)(398, 436)(400, 440)(401, 445)(403, 448)(405, 450)(408, 453)(411, 455)(413, 442)(415, 439)(417, 437)(420, 435)(421, 459)(422, 462)(424, 460)(425, 452)(427, 451)(429, 449)(430, 447)(432, 467)(433, 468)(443, 472)(444, 475)(446, 473)(454, 480)(456, 482)(457, 471)(458, 470)(461, 485)(463, 478)(464, 481)(465, 476)(466, 489)(469, 491)(474, 494)(477, 490)(479, 498)(483, 500)(484, 501)(486, 502)(487, 499)(488, 504)(492, 506)(493, 507)(495, 508)(496, 505)(497, 510)(503, 509)(511, 512)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 16, 16 ), ( 16^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2294
Transitivity :: ET+
Graph:: simple bipartite
	v = 192 e = 256 f = 32
	degree seq :: [ 2^128, 4^64 ]

E17.2291 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^8, (T2 * T1^-1 * T2^2)^2, T2 * T1^-1 * T2^-5 * T1^-1 * T2^2, T2^-2 * T1^-2 * T2^4 * T1^-2 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, (T2 * T1^-1)^8 ]
Map:: polytopal non-degenerate
	R = (1, 3, 10, 24, 52, 32, 14, 5)(2, 7, 17, 38, 75, 44, 20, 8)(4, 12, 27, 57, 89, 48, 22, 9)(6, 15, 33, 65, 109, 71, 36, 16)(11, 26, 54, 31, 63, 93, 50, 23)(13, 29, 60, 94, 51, 25, 53, 30)(18, 40, 77, 43, 82, 120, 73, 37)(19, 41, 79, 121, 74, 39, 76, 42)(21, 45, 83, 130, 101, 58, 86, 46)(28, 59, 88, 47, 87, 136, 100, 56)(34, 67, 111, 70, 116, 158, 107, 64)(35, 68, 113, 159, 108, 66, 110, 69)(49, 90, 138, 103, 61, 97, 141, 91)(55, 98, 143, 92, 142, 198, 147, 96)(62, 95, 145, 200, 144, 104, 153, 105)(72, 117, 167, 126, 80, 124, 170, 118)(78, 125, 172, 119, 171, 231, 176, 123)(81, 122, 174, 233, 173, 127, 179, 128)(84, 132, 185, 135, 99, 149, 182, 129)(85, 133, 187, 241, 183, 131, 184, 134)(102, 151, 206, 150, 190, 243, 191, 137)(106, 155, 211, 164, 114, 162, 214, 156)(112, 163, 216, 157, 215, 249, 220, 161)(115, 160, 218, 250, 217, 165, 223, 166)(139, 194, 222, 197, 146, 202, 213, 192)(140, 195, 212, 208, 152, 193, 219, 196)(148, 204, 247, 203, 244, 252, 224, 199)(154, 209, 221, 251, 245, 201, 246, 210)(168, 227, 181, 230, 175, 235, 188, 225)(169, 228, 205, 238, 178, 226, 186, 229)(177, 237, 256, 236, 253, 242, 189, 232)(180, 239, 207, 248, 254, 234, 255, 240)(257, 258, 262, 260)(259, 265, 277, 267)(261, 269, 274, 263)(264, 275, 290, 271)(266, 279, 305, 281)(268, 272, 291, 284)(270, 287, 317, 285)(273, 293, 328, 295)(276, 299, 336, 297)(278, 303, 340, 301)(280, 307, 338, 300)(282, 302, 341, 311)(283, 312, 355, 314)(286, 318, 334, 296)(288, 313, 357, 319)(289, 320, 362, 322)(292, 326, 370, 324)(294, 330, 372, 327)(298, 337, 368, 323)(304, 321, 364, 343)(306, 348, 395, 346)(308, 331, 365, 345)(309, 347, 396, 351)(310, 352, 402, 353)(315, 325, 371, 358)(316, 359, 408, 360)(329, 375, 424, 373)(332, 374, 425, 378)(333, 379, 431, 380)(335, 382, 434, 383)(339, 385, 437, 387)(342, 391, 444, 389)(344, 393, 442, 388)(349, 386, 439, 398)(350, 400, 427, 376)(354, 390, 445, 404)(356, 406, 461, 405)(361, 410, 433, 381)(363, 413, 468, 411)(366, 412, 469, 416)(367, 417, 475, 418)(369, 420, 478, 421)(377, 429, 471, 414)(384, 436, 477, 419)(392, 415, 473, 446)(394, 448, 470, 449)(397, 453, 467, 451)(399, 455, 479, 450)(401, 452, 476, 457)(403, 459, 474, 458)(407, 422, 480, 463)(409, 464, 472, 465)(423, 481, 441, 482)(426, 486, 438, 484)(428, 488, 440, 483)(430, 485, 447, 490)(432, 492, 443, 491)(435, 494, 462, 495)(454, 497, 512, 500)(456, 501, 509, 487)(460, 498, 507, 496)(466, 504, 508, 493)(489, 510, 502, 505)(499, 506, 503, 511)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 4^4 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2295
Transitivity :: ET+
Graph:: simple bipartite
	v = 96 e = 256 f = 128
	degree seq :: [ 4^64, 8^32 ]

E17.2292 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 8})
Quotient :: edge
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * 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, 61)(35, 64)(37, 67)(38, 68)(40, 71)(41, 72)(42, 69)(45, 73)(46, 74)(47, 75)(50, 78)(51, 79)(53, 82)(54, 85)(56, 88)(58, 90)(59, 91)(60, 94)(62, 96)(63, 97)(65, 100)(66, 98)(70, 104)(76, 110)(77, 112)(80, 116)(81, 117)(83, 120)(84, 121)(86, 124)(87, 122)(89, 125)(92, 128)(93, 129)(95, 133)(99, 138)(101, 140)(102, 134)(103, 142)(105, 144)(106, 130)(107, 145)(108, 147)(109, 148)(111, 151)(113, 154)(114, 152)(115, 155)(118, 158)(119, 160)(123, 164)(126, 167)(127, 169)(131, 173)(132, 175)(135, 176)(136, 178)(137, 179)(139, 181)(141, 183)(143, 186)(146, 188)(149, 191)(150, 193)(153, 196)(156, 199)(157, 200)(159, 203)(161, 204)(162, 206)(163, 207)(165, 210)(166, 211)(168, 208)(170, 215)(171, 213)(172, 216)(174, 217)(177, 194)(180, 187)(182, 214)(184, 205)(185, 218)(189, 225)(190, 226)(192, 229)(195, 230)(197, 232)(198, 233)(201, 236)(202, 235)(209, 237)(212, 239)(219, 238)(220, 241)(221, 240)(222, 242)(223, 246)(224, 247)(227, 250)(228, 249)(231, 251)(234, 252)(243, 254)(244, 253)(245, 255)(248, 256)(257, 258, 261, 267, 279, 278, 266, 260)(259, 263, 271, 287, 300, 293, 274, 264)(262, 269, 283, 307, 299, 312, 286, 270)(265, 275, 294, 302, 280, 301, 296, 276)(268, 281, 303, 298, 277, 297, 306, 282)(272, 289, 316, 349, 323, 330, 318, 290)(273, 291, 319, 344, 313, 339, 309, 284)(285, 310, 340, 328, 335, 367, 332, 304)(288, 314, 345, 322, 292, 321, 348, 315)(295, 325, 359, 363, 329, 305, 333, 326)(308, 336, 371, 343, 311, 342, 374, 337)(317, 351, 388, 356, 385, 424, 382, 346)(320, 354, 393, 417, 376, 347, 383, 355)(324, 357, 395, 362, 327, 361, 397, 358)(331, 364, 402, 370, 334, 369, 405, 365)(338, 375, 415, 380, 353, 392, 412, 372)(341, 378, 419, 450, 407, 373, 413, 379)(350, 386, 428, 391, 352, 390, 430, 387)(360, 399, 441, 400, 401, 443, 438, 396)(366, 406, 448, 410, 377, 418, 445, 403)(368, 408, 451, 440, 398, 404, 446, 409)(381, 421, 465, 427, 384, 426, 468, 422)(389, 432, 462, 420, 464, 429, 449, 433)(394, 436, 461, 416, 460, 442, 452, 434)(411, 453, 487, 458, 414, 457, 490, 454)(423, 456, 491, 471, 431, 463, 489, 466)(425, 469, 496, 474, 435, 467, 494, 470)(437, 475, 499, 478, 439, 477, 500, 476)(444, 479, 501, 484, 447, 483, 504, 480)(455, 482, 505, 492, 459, 486, 503, 488)(472, 497, 506, 485, 473, 498, 502, 481)(493, 508, 511, 510, 495, 507, 512, 509)
	L = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)
	local type(s) :: { ( 8, 8 ), ( 8^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2293
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 256 f = 64
	degree seq :: [ 2^128, 8^32 ]

E17.2293 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T1 * T2^2 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-2 * T1, (T2^-2 * T1)^8 ]
Map::
	R = (1, 257, 3, 259, 8, 264, 4, 260)(2, 258, 5, 261, 11, 267, 6, 262)(7, 263, 13, 269, 24, 280, 14, 270)(9, 265, 16, 272, 29, 285, 17, 273)(10, 266, 18, 274, 32, 288, 19, 275)(12, 268, 21, 277, 37, 293, 22, 278)(15, 271, 26, 282, 45, 301, 27, 283)(20, 276, 34, 290, 58, 314, 35, 291)(23, 279, 39, 295, 66, 322, 40, 296)(25, 281, 42, 298, 71, 327, 43, 299)(28, 284, 47, 303, 79, 335, 48, 304)(30, 286, 50, 306, 84, 340, 51, 307)(31, 287, 52, 308, 87, 343, 53, 309)(33, 289, 55, 311, 92, 348, 56, 312)(36, 292, 60, 316, 100, 356, 61, 317)(38, 294, 63, 319, 105, 361, 64, 320)(41, 297, 68, 324, 111, 367, 69, 325)(44, 300, 73, 329, 118, 374, 74, 330)(46, 302, 76, 332, 123, 379, 77, 333)(49, 305, 81, 337, 128, 384, 82, 338)(54, 310, 89, 345, 135, 391, 90, 346)(57, 313, 94, 350, 142, 398, 95, 351)(59, 315, 97, 353, 147, 403, 98, 354)(62, 318, 102, 358, 152, 408, 103, 359)(65, 321, 107, 363, 85, 341, 108, 364)(67, 323, 109, 365, 155, 411, 110, 366)(70, 326, 113, 369, 159, 415, 114, 370)(72, 328, 116, 372, 78, 334, 117, 373)(75, 331, 120, 376, 166, 422, 121, 377)(80, 336, 125, 381, 173, 429, 126, 382)(83, 339, 129, 385, 176, 432, 130, 386)(86, 342, 131, 387, 106, 362, 132, 388)(88, 344, 133, 389, 177, 433, 134, 390)(91, 347, 137, 393, 181, 437, 138, 394)(93, 349, 140, 396, 99, 355, 141, 397)(96, 352, 144, 400, 188, 444, 145, 401)(101, 357, 149, 405, 195, 451, 150, 406)(104, 360, 153, 409, 198, 454, 154, 410)(112, 368, 157, 413, 182, 438, 158, 414)(115, 371, 161, 417, 202, 458, 162, 418)(119, 375, 164, 420, 205, 461, 165, 421)(122, 378, 168, 424, 208, 464, 169, 425)(124, 380, 167, 423, 207, 463, 171, 427)(127, 383, 170, 426, 194, 450, 174, 430)(136, 392, 179, 435, 160, 416, 180, 436)(139, 395, 183, 439, 215, 471, 184, 440)(143, 399, 186, 442, 218, 474, 187, 443)(146, 402, 190, 446, 221, 477, 191, 447)(148, 404, 189, 445, 220, 476, 193, 449)(151, 407, 192, 448, 172, 428, 196, 452)(156, 412, 200, 456, 227, 483, 201, 457)(163, 419, 203, 459, 228, 484, 204, 460)(175, 431, 209, 465, 232, 488, 210, 466)(178, 434, 213, 469, 236, 492, 214, 470)(185, 441, 216, 472, 237, 493, 217, 473)(197, 453, 222, 478, 241, 497, 223, 479)(199, 455, 225, 481, 243, 499, 226, 482)(206, 462, 230, 486, 247, 503, 231, 487)(211, 467, 233, 489, 246, 502, 229, 485)(212, 468, 234, 490, 249, 505, 235, 491)(219, 475, 239, 495, 253, 509, 240, 496)(224, 480, 242, 498, 252, 508, 238, 494)(244, 500, 255, 511, 248, 504, 251, 507)(245, 501, 250, 506, 256, 512, 254, 510)
	L = (1, 258)(2, 257)(3, 263)(4, 265)(5, 266)(6, 268)(7, 259)(8, 271)(9, 260)(10, 261)(11, 276)(12, 262)(13, 279)(14, 281)(15, 264)(16, 284)(17, 286)(18, 287)(19, 289)(20, 267)(21, 292)(22, 294)(23, 269)(24, 297)(25, 270)(26, 300)(27, 302)(28, 272)(29, 305)(30, 273)(31, 274)(32, 310)(33, 275)(34, 313)(35, 315)(36, 277)(37, 318)(38, 278)(39, 321)(40, 323)(41, 280)(42, 326)(43, 328)(44, 282)(45, 331)(46, 283)(47, 334)(48, 336)(49, 285)(50, 339)(51, 341)(52, 342)(53, 344)(54, 288)(55, 347)(56, 349)(57, 290)(58, 352)(59, 291)(60, 355)(61, 357)(62, 293)(63, 360)(64, 362)(65, 295)(66, 354)(67, 296)(68, 359)(69, 368)(70, 298)(71, 371)(72, 299)(73, 361)(74, 375)(75, 301)(76, 378)(77, 343)(78, 303)(79, 380)(80, 304)(81, 383)(82, 345)(83, 306)(84, 350)(85, 307)(86, 308)(87, 333)(88, 309)(89, 338)(90, 392)(91, 311)(92, 395)(93, 312)(94, 340)(95, 399)(96, 314)(97, 402)(98, 322)(99, 316)(100, 404)(101, 317)(102, 407)(103, 324)(104, 319)(105, 329)(106, 320)(107, 387)(108, 397)(109, 406)(110, 409)(111, 412)(112, 325)(113, 410)(114, 416)(115, 327)(116, 419)(117, 388)(118, 414)(119, 330)(120, 418)(121, 423)(122, 332)(123, 426)(124, 335)(125, 428)(126, 389)(127, 337)(128, 431)(129, 390)(130, 393)(131, 363)(132, 373)(133, 382)(134, 385)(135, 434)(136, 346)(137, 386)(138, 438)(139, 348)(140, 441)(141, 364)(142, 436)(143, 351)(144, 440)(145, 445)(146, 353)(147, 448)(148, 356)(149, 450)(150, 365)(151, 358)(152, 453)(153, 366)(154, 369)(155, 455)(156, 367)(157, 442)(158, 374)(159, 439)(160, 370)(161, 437)(162, 376)(163, 372)(164, 435)(165, 459)(166, 462)(167, 377)(168, 460)(169, 452)(170, 379)(171, 451)(172, 381)(173, 449)(174, 447)(175, 384)(176, 467)(177, 468)(178, 391)(179, 420)(180, 398)(181, 417)(182, 394)(183, 415)(184, 400)(185, 396)(186, 413)(187, 472)(188, 475)(189, 401)(190, 473)(191, 430)(192, 403)(193, 429)(194, 405)(195, 427)(196, 425)(197, 408)(198, 480)(199, 411)(200, 482)(201, 471)(202, 470)(203, 421)(204, 424)(205, 485)(206, 422)(207, 478)(208, 481)(209, 476)(210, 489)(211, 432)(212, 433)(213, 491)(214, 458)(215, 457)(216, 443)(217, 446)(218, 494)(219, 444)(220, 465)(221, 490)(222, 463)(223, 498)(224, 454)(225, 464)(226, 456)(227, 500)(228, 501)(229, 461)(230, 502)(231, 499)(232, 504)(233, 466)(234, 477)(235, 469)(236, 506)(237, 507)(238, 474)(239, 508)(240, 505)(241, 510)(242, 479)(243, 487)(244, 483)(245, 484)(246, 486)(247, 509)(248, 488)(249, 496)(250, 492)(251, 493)(252, 495)(253, 503)(254, 497)(255, 512)(256, 511)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2292
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 256 f = 160
	degree seq :: [ 8^64 ]

E17.2294 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ F^2, (T2 * T1)^2, (F * T2)^2, (F * T1)^2, T1^4, T2^8, (T2 * T1^-1 * T2^2)^2, T2 * T1^-1 * T2^-5 * T1^-1 * T2^2, T2^-2 * T1^-2 * T2^4 * T1^-2 * T2^-2, T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2 * T1^-2, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1 * T1^-2 * T2^-2 * T1^-1, (T2 * T1^-1)^8 ]
Map::
	R = (1, 257, 3, 259, 10, 266, 24, 280, 52, 308, 32, 288, 14, 270, 5, 261)(2, 258, 7, 263, 17, 273, 38, 294, 75, 331, 44, 300, 20, 276, 8, 264)(4, 260, 12, 268, 27, 283, 57, 313, 89, 345, 48, 304, 22, 278, 9, 265)(6, 262, 15, 271, 33, 289, 65, 321, 109, 365, 71, 327, 36, 292, 16, 272)(11, 267, 26, 282, 54, 310, 31, 287, 63, 319, 93, 349, 50, 306, 23, 279)(13, 269, 29, 285, 60, 316, 94, 350, 51, 307, 25, 281, 53, 309, 30, 286)(18, 274, 40, 296, 77, 333, 43, 299, 82, 338, 120, 376, 73, 329, 37, 293)(19, 275, 41, 297, 79, 335, 121, 377, 74, 330, 39, 295, 76, 332, 42, 298)(21, 277, 45, 301, 83, 339, 130, 386, 101, 357, 58, 314, 86, 342, 46, 302)(28, 284, 59, 315, 88, 344, 47, 303, 87, 343, 136, 392, 100, 356, 56, 312)(34, 290, 67, 323, 111, 367, 70, 326, 116, 372, 158, 414, 107, 363, 64, 320)(35, 291, 68, 324, 113, 369, 159, 415, 108, 364, 66, 322, 110, 366, 69, 325)(49, 305, 90, 346, 138, 394, 103, 359, 61, 317, 97, 353, 141, 397, 91, 347)(55, 311, 98, 354, 143, 399, 92, 348, 142, 398, 198, 454, 147, 403, 96, 352)(62, 318, 95, 351, 145, 401, 200, 456, 144, 400, 104, 360, 153, 409, 105, 361)(72, 328, 117, 373, 167, 423, 126, 382, 80, 336, 124, 380, 170, 426, 118, 374)(78, 334, 125, 381, 172, 428, 119, 375, 171, 427, 231, 487, 176, 432, 123, 379)(81, 337, 122, 378, 174, 430, 233, 489, 173, 429, 127, 383, 179, 435, 128, 384)(84, 340, 132, 388, 185, 441, 135, 391, 99, 355, 149, 405, 182, 438, 129, 385)(85, 341, 133, 389, 187, 443, 241, 497, 183, 439, 131, 387, 184, 440, 134, 390)(102, 358, 151, 407, 206, 462, 150, 406, 190, 446, 243, 499, 191, 447, 137, 393)(106, 362, 155, 411, 211, 467, 164, 420, 114, 370, 162, 418, 214, 470, 156, 412)(112, 368, 163, 419, 216, 472, 157, 413, 215, 471, 249, 505, 220, 476, 161, 417)(115, 371, 160, 416, 218, 474, 250, 506, 217, 473, 165, 421, 223, 479, 166, 422)(139, 395, 194, 450, 222, 478, 197, 453, 146, 402, 202, 458, 213, 469, 192, 448)(140, 396, 195, 451, 212, 468, 208, 464, 152, 408, 193, 449, 219, 475, 196, 452)(148, 404, 204, 460, 247, 503, 203, 459, 244, 500, 252, 508, 224, 480, 199, 455)(154, 410, 209, 465, 221, 477, 251, 507, 245, 501, 201, 457, 246, 502, 210, 466)(168, 424, 227, 483, 181, 437, 230, 486, 175, 431, 235, 491, 188, 444, 225, 481)(169, 425, 228, 484, 205, 461, 238, 494, 178, 434, 226, 482, 186, 442, 229, 485)(177, 433, 237, 493, 256, 512, 236, 492, 253, 509, 242, 498, 189, 445, 232, 488)(180, 436, 239, 495, 207, 463, 248, 504, 254, 510, 234, 490, 255, 511, 240, 496)
	L = (1, 258)(2, 262)(3, 265)(4, 257)(5, 269)(6, 260)(7, 261)(8, 275)(9, 277)(10, 279)(11, 259)(12, 272)(13, 274)(14, 287)(15, 264)(16, 291)(17, 293)(18, 263)(19, 290)(20, 299)(21, 267)(22, 303)(23, 305)(24, 307)(25, 266)(26, 302)(27, 312)(28, 268)(29, 270)(30, 318)(31, 317)(32, 313)(33, 320)(34, 271)(35, 284)(36, 326)(37, 328)(38, 330)(39, 273)(40, 286)(41, 276)(42, 337)(43, 336)(44, 280)(45, 278)(46, 341)(47, 340)(48, 321)(49, 281)(50, 348)(51, 338)(52, 331)(53, 347)(54, 352)(55, 282)(56, 355)(57, 357)(58, 283)(59, 325)(60, 359)(61, 285)(62, 334)(63, 288)(64, 362)(65, 364)(66, 289)(67, 298)(68, 292)(69, 371)(70, 370)(71, 294)(72, 295)(73, 375)(74, 372)(75, 365)(76, 374)(77, 379)(78, 296)(79, 382)(80, 297)(81, 368)(82, 300)(83, 385)(84, 301)(85, 311)(86, 391)(87, 304)(88, 393)(89, 308)(90, 306)(91, 396)(92, 395)(93, 386)(94, 400)(95, 309)(96, 402)(97, 310)(98, 390)(99, 314)(100, 406)(101, 319)(102, 315)(103, 408)(104, 316)(105, 410)(106, 322)(107, 413)(108, 343)(109, 345)(110, 412)(111, 417)(112, 323)(113, 420)(114, 324)(115, 358)(116, 327)(117, 329)(118, 425)(119, 424)(120, 350)(121, 429)(122, 332)(123, 431)(124, 333)(125, 361)(126, 434)(127, 335)(128, 436)(129, 437)(130, 439)(131, 339)(132, 344)(133, 342)(134, 445)(135, 444)(136, 415)(137, 442)(138, 448)(139, 346)(140, 351)(141, 453)(142, 349)(143, 455)(144, 427)(145, 452)(146, 353)(147, 459)(148, 354)(149, 356)(150, 461)(151, 422)(152, 360)(153, 464)(154, 433)(155, 363)(156, 469)(157, 468)(158, 377)(159, 473)(160, 366)(161, 475)(162, 367)(163, 384)(164, 478)(165, 369)(166, 480)(167, 481)(168, 373)(169, 378)(170, 486)(171, 376)(172, 488)(173, 471)(174, 485)(175, 380)(176, 492)(177, 381)(178, 383)(179, 494)(180, 477)(181, 387)(182, 484)(183, 398)(184, 483)(185, 482)(186, 388)(187, 491)(188, 389)(189, 404)(190, 392)(191, 490)(192, 470)(193, 394)(194, 399)(195, 397)(196, 476)(197, 467)(198, 497)(199, 479)(200, 501)(201, 401)(202, 403)(203, 474)(204, 498)(205, 405)(206, 495)(207, 407)(208, 472)(209, 409)(210, 504)(211, 451)(212, 411)(213, 416)(214, 449)(215, 414)(216, 465)(217, 446)(218, 458)(219, 418)(220, 457)(221, 419)(222, 421)(223, 450)(224, 463)(225, 441)(226, 423)(227, 428)(228, 426)(229, 447)(230, 438)(231, 456)(232, 440)(233, 510)(234, 430)(235, 432)(236, 443)(237, 466)(238, 462)(239, 435)(240, 460)(241, 512)(242, 507)(243, 506)(244, 454)(245, 509)(246, 505)(247, 511)(248, 508)(249, 489)(250, 503)(251, 496)(252, 493)(253, 487)(254, 502)(255, 499)(256, 500)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2290
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 32 e = 256 f = 192
	degree seq :: [ 16^32 ]

E17.2295 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 8})
Quotient :: loop
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^8, (T2 * T1^-1)^4, (T1^-1 * T2 * T1^-3)^2, T1^-3 * T2 * T1^4 * T2 * T1^-1, T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polytopal non-degenerate
	R = (1, 257, 3, 259)(2, 258, 6, 262)(4, 260, 9, 265)(5, 261, 12, 268)(7, 263, 16, 272)(8, 264, 17, 273)(10, 266, 21, 277)(11, 267, 24, 280)(13, 269, 28, 284)(14, 270, 29, 285)(15, 271, 32, 288)(18, 274, 36, 292)(19, 275, 39, 295)(20, 276, 33, 289)(22, 278, 43, 299)(23, 279, 44, 300)(25, 281, 48, 304)(26, 282, 49, 305)(27, 283, 52, 308)(30, 286, 55, 311)(31, 287, 57, 313)(34, 290, 61, 317)(35, 291, 64, 320)(37, 293, 67, 323)(38, 294, 68, 324)(40, 296, 71, 327)(41, 297, 72, 328)(42, 298, 69, 325)(45, 301, 73, 329)(46, 302, 74, 330)(47, 303, 75, 331)(50, 306, 78, 334)(51, 307, 79, 335)(53, 309, 82, 338)(54, 310, 85, 341)(56, 312, 88, 344)(58, 314, 90, 346)(59, 315, 91, 347)(60, 316, 94, 350)(62, 318, 96, 352)(63, 319, 97, 353)(65, 321, 100, 356)(66, 322, 98, 354)(70, 326, 104, 360)(76, 332, 110, 366)(77, 333, 112, 368)(80, 336, 116, 372)(81, 337, 117, 373)(83, 339, 120, 376)(84, 340, 121, 377)(86, 342, 124, 380)(87, 343, 122, 378)(89, 345, 125, 381)(92, 348, 128, 384)(93, 349, 129, 385)(95, 351, 133, 389)(99, 355, 138, 394)(101, 357, 140, 396)(102, 358, 134, 390)(103, 359, 142, 398)(105, 361, 144, 400)(106, 362, 130, 386)(107, 363, 145, 401)(108, 364, 147, 403)(109, 365, 148, 404)(111, 367, 151, 407)(113, 369, 154, 410)(114, 370, 152, 408)(115, 371, 155, 411)(118, 374, 158, 414)(119, 375, 160, 416)(123, 379, 164, 420)(126, 382, 167, 423)(127, 383, 169, 425)(131, 387, 173, 429)(132, 388, 175, 431)(135, 391, 176, 432)(136, 392, 178, 434)(137, 393, 179, 435)(139, 395, 181, 437)(141, 397, 183, 439)(143, 399, 186, 442)(146, 402, 188, 444)(149, 405, 191, 447)(150, 406, 193, 449)(153, 409, 196, 452)(156, 412, 199, 455)(157, 413, 200, 456)(159, 415, 203, 459)(161, 417, 204, 460)(162, 418, 206, 462)(163, 419, 207, 463)(165, 421, 210, 466)(166, 422, 211, 467)(168, 424, 208, 464)(170, 426, 215, 471)(171, 427, 213, 469)(172, 428, 216, 472)(174, 430, 217, 473)(177, 433, 194, 450)(180, 436, 187, 443)(182, 438, 214, 470)(184, 440, 205, 461)(185, 441, 218, 474)(189, 445, 225, 481)(190, 446, 226, 482)(192, 448, 229, 485)(195, 451, 230, 486)(197, 453, 232, 488)(198, 454, 233, 489)(201, 457, 236, 492)(202, 458, 235, 491)(209, 465, 237, 493)(212, 468, 239, 495)(219, 475, 238, 494)(220, 476, 241, 497)(221, 477, 240, 496)(222, 478, 242, 498)(223, 479, 246, 502)(224, 480, 247, 503)(227, 483, 250, 506)(228, 484, 249, 505)(231, 487, 251, 507)(234, 490, 252, 508)(243, 499, 254, 510)(244, 500, 253, 509)(245, 501, 255, 511)(248, 504, 256, 512)
	L = (1, 258)(2, 261)(3, 263)(4, 257)(5, 267)(6, 269)(7, 271)(8, 259)(9, 275)(10, 260)(11, 279)(12, 281)(13, 283)(14, 262)(15, 287)(16, 289)(17, 291)(18, 264)(19, 294)(20, 265)(21, 297)(22, 266)(23, 278)(24, 301)(25, 303)(26, 268)(27, 307)(28, 273)(29, 310)(30, 270)(31, 300)(32, 314)(33, 316)(34, 272)(35, 319)(36, 321)(37, 274)(38, 302)(39, 325)(40, 276)(41, 306)(42, 277)(43, 312)(44, 293)(45, 296)(46, 280)(47, 298)(48, 285)(49, 333)(50, 282)(51, 299)(52, 336)(53, 284)(54, 340)(55, 342)(56, 286)(57, 339)(58, 345)(59, 288)(60, 349)(61, 351)(62, 290)(63, 344)(64, 354)(65, 348)(66, 292)(67, 330)(68, 357)(69, 359)(70, 295)(71, 361)(72, 335)(73, 305)(74, 318)(75, 364)(76, 304)(77, 326)(78, 369)(79, 367)(80, 371)(81, 308)(82, 375)(83, 309)(84, 328)(85, 378)(86, 374)(87, 311)(88, 313)(89, 322)(90, 317)(91, 383)(92, 315)(93, 323)(94, 386)(95, 388)(96, 390)(97, 392)(98, 393)(99, 320)(100, 385)(101, 395)(102, 324)(103, 363)(104, 399)(105, 397)(106, 327)(107, 329)(108, 402)(109, 331)(110, 406)(111, 332)(112, 408)(113, 405)(114, 334)(115, 343)(116, 338)(117, 413)(118, 337)(119, 415)(120, 347)(121, 418)(122, 419)(123, 341)(124, 353)(125, 421)(126, 346)(127, 355)(128, 426)(129, 424)(130, 428)(131, 350)(132, 356)(133, 432)(134, 430)(135, 352)(136, 412)(137, 417)(138, 436)(139, 362)(140, 360)(141, 358)(142, 404)(143, 441)(144, 401)(145, 443)(146, 370)(147, 366)(148, 446)(149, 365)(150, 448)(151, 373)(152, 451)(153, 368)(154, 377)(155, 453)(156, 372)(157, 379)(158, 457)(159, 380)(160, 460)(161, 376)(162, 445)(163, 450)(164, 464)(165, 465)(166, 381)(167, 456)(168, 382)(169, 469)(170, 468)(171, 384)(172, 391)(173, 449)(174, 387)(175, 463)(176, 462)(177, 389)(178, 394)(179, 467)(180, 461)(181, 475)(182, 396)(183, 477)(184, 398)(185, 400)(186, 452)(187, 438)(188, 479)(189, 403)(190, 409)(191, 483)(192, 410)(193, 433)(194, 407)(195, 440)(196, 434)(197, 487)(198, 411)(199, 482)(200, 491)(201, 490)(202, 414)(203, 486)(204, 442)(205, 416)(206, 420)(207, 489)(208, 429)(209, 427)(210, 423)(211, 494)(212, 422)(213, 496)(214, 425)(215, 431)(216, 497)(217, 498)(218, 435)(219, 499)(220, 437)(221, 500)(222, 439)(223, 501)(224, 444)(225, 472)(226, 505)(227, 504)(228, 447)(229, 473)(230, 503)(231, 458)(232, 455)(233, 466)(234, 454)(235, 471)(236, 459)(237, 508)(238, 470)(239, 507)(240, 474)(241, 506)(242, 502)(243, 478)(244, 476)(245, 484)(246, 481)(247, 488)(248, 480)(249, 492)(250, 485)(251, 512)(252, 511)(253, 493)(254, 495)(255, 510)(256, 509)
	local type(s) :: { ( 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2291
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 128 e = 256 f = 96
	degree seq :: [ 4^128 ]

E17.2296 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2, (Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2)^2, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1)^2, (Y3 * Y2^-1)^8, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1, (Y2^-2 * Y1)^8 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 10, 266)(6, 262, 12, 268)(8, 264, 15, 271)(11, 267, 20, 276)(13, 269, 23, 279)(14, 270, 25, 281)(16, 272, 28, 284)(17, 273, 30, 286)(18, 274, 31, 287)(19, 275, 33, 289)(21, 277, 36, 292)(22, 278, 38, 294)(24, 280, 41, 297)(26, 282, 44, 300)(27, 283, 46, 302)(29, 285, 49, 305)(32, 288, 54, 310)(34, 290, 57, 313)(35, 291, 59, 315)(37, 293, 62, 318)(39, 295, 65, 321)(40, 296, 67, 323)(42, 298, 70, 326)(43, 299, 72, 328)(45, 301, 75, 331)(47, 303, 78, 334)(48, 304, 80, 336)(50, 306, 83, 339)(51, 307, 85, 341)(52, 308, 86, 342)(53, 309, 88, 344)(55, 311, 91, 347)(56, 312, 93, 349)(58, 314, 96, 352)(60, 316, 99, 355)(61, 317, 101, 357)(63, 319, 104, 360)(64, 320, 106, 362)(66, 322, 98, 354)(68, 324, 103, 359)(69, 325, 112, 368)(71, 327, 115, 371)(73, 329, 105, 361)(74, 330, 119, 375)(76, 332, 122, 378)(77, 333, 87, 343)(79, 335, 124, 380)(81, 337, 127, 383)(82, 338, 89, 345)(84, 340, 94, 350)(90, 346, 136, 392)(92, 348, 139, 395)(95, 351, 143, 399)(97, 353, 146, 402)(100, 356, 148, 404)(102, 358, 151, 407)(107, 363, 131, 387)(108, 364, 141, 397)(109, 365, 150, 406)(110, 366, 153, 409)(111, 367, 156, 412)(113, 369, 154, 410)(114, 370, 160, 416)(116, 372, 163, 419)(117, 373, 132, 388)(118, 374, 158, 414)(120, 376, 162, 418)(121, 377, 167, 423)(123, 379, 170, 426)(125, 381, 172, 428)(126, 382, 133, 389)(128, 384, 175, 431)(129, 385, 134, 390)(130, 386, 137, 393)(135, 391, 178, 434)(138, 394, 182, 438)(140, 396, 185, 441)(142, 398, 180, 436)(144, 400, 184, 440)(145, 401, 189, 445)(147, 403, 192, 448)(149, 405, 194, 450)(152, 408, 197, 453)(155, 411, 199, 455)(157, 413, 186, 442)(159, 415, 183, 439)(161, 417, 181, 437)(164, 420, 179, 435)(165, 421, 203, 459)(166, 422, 206, 462)(168, 424, 204, 460)(169, 425, 196, 452)(171, 427, 195, 451)(173, 429, 193, 449)(174, 430, 191, 447)(176, 432, 211, 467)(177, 433, 212, 468)(187, 443, 216, 472)(188, 444, 219, 475)(190, 446, 217, 473)(198, 454, 224, 480)(200, 456, 226, 482)(201, 457, 215, 471)(202, 458, 214, 470)(205, 461, 229, 485)(207, 463, 222, 478)(208, 464, 225, 481)(209, 465, 220, 476)(210, 466, 233, 489)(213, 469, 235, 491)(218, 474, 238, 494)(221, 477, 234, 490)(223, 479, 242, 498)(227, 483, 244, 500)(228, 484, 245, 501)(230, 486, 246, 502)(231, 487, 243, 499)(232, 488, 248, 504)(236, 492, 250, 506)(237, 493, 251, 507)(239, 495, 252, 508)(240, 496, 249, 505)(241, 497, 254, 510)(247, 503, 253, 509)(255, 511, 256, 512)(513, 769, 515, 771, 520, 776, 516, 772)(514, 770, 517, 773, 523, 779, 518, 774)(519, 775, 525, 781, 536, 792, 526, 782)(521, 777, 528, 784, 541, 797, 529, 785)(522, 778, 530, 786, 544, 800, 531, 787)(524, 780, 533, 789, 549, 805, 534, 790)(527, 783, 538, 794, 557, 813, 539, 795)(532, 788, 546, 802, 570, 826, 547, 803)(535, 791, 551, 807, 578, 834, 552, 808)(537, 793, 554, 810, 583, 839, 555, 811)(540, 796, 559, 815, 591, 847, 560, 816)(542, 798, 562, 818, 596, 852, 563, 819)(543, 799, 564, 820, 599, 855, 565, 821)(545, 801, 567, 823, 604, 860, 568, 824)(548, 804, 572, 828, 612, 868, 573, 829)(550, 806, 575, 831, 617, 873, 576, 832)(553, 809, 580, 836, 623, 879, 581, 837)(556, 812, 585, 841, 630, 886, 586, 842)(558, 814, 588, 844, 635, 891, 589, 845)(561, 817, 593, 849, 640, 896, 594, 850)(566, 822, 601, 857, 647, 903, 602, 858)(569, 825, 606, 862, 654, 910, 607, 863)(571, 827, 609, 865, 659, 915, 610, 866)(574, 830, 614, 870, 664, 920, 615, 871)(577, 833, 619, 875, 597, 853, 620, 876)(579, 835, 621, 877, 667, 923, 622, 878)(582, 838, 625, 881, 671, 927, 626, 882)(584, 840, 628, 884, 590, 846, 629, 885)(587, 843, 632, 888, 678, 934, 633, 889)(592, 848, 637, 893, 685, 941, 638, 894)(595, 851, 641, 897, 688, 944, 642, 898)(598, 854, 643, 899, 618, 874, 644, 900)(600, 856, 645, 901, 689, 945, 646, 902)(603, 859, 649, 905, 693, 949, 650, 906)(605, 861, 652, 908, 611, 867, 653, 909)(608, 864, 656, 912, 700, 956, 657, 913)(613, 869, 661, 917, 707, 963, 662, 918)(616, 872, 665, 921, 710, 966, 666, 922)(624, 880, 669, 925, 694, 950, 670, 926)(627, 883, 673, 929, 714, 970, 674, 930)(631, 887, 676, 932, 717, 973, 677, 933)(634, 890, 680, 936, 720, 976, 681, 937)(636, 892, 679, 935, 719, 975, 683, 939)(639, 895, 682, 938, 706, 962, 686, 942)(648, 904, 691, 947, 672, 928, 692, 948)(651, 907, 695, 951, 727, 983, 696, 952)(655, 911, 698, 954, 730, 986, 699, 955)(658, 914, 702, 958, 733, 989, 703, 959)(660, 916, 701, 957, 732, 988, 705, 961)(663, 919, 704, 960, 684, 940, 708, 964)(668, 924, 712, 968, 739, 995, 713, 969)(675, 931, 715, 971, 740, 996, 716, 972)(687, 943, 721, 977, 744, 1000, 722, 978)(690, 946, 725, 981, 748, 1004, 726, 982)(697, 953, 728, 984, 749, 1005, 729, 985)(709, 965, 734, 990, 753, 1009, 735, 991)(711, 967, 737, 993, 755, 1011, 738, 994)(718, 974, 742, 998, 759, 1015, 743, 999)(723, 979, 745, 1001, 758, 1014, 741, 997)(724, 980, 746, 1002, 761, 1017, 747, 1003)(731, 987, 751, 1007, 765, 1021, 752, 1008)(736, 992, 754, 1010, 764, 1020, 750, 1006)(756, 1012, 767, 1023, 760, 1016, 763, 1019)(757, 1013, 762, 1018, 768, 1024, 766, 1022)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 522)(6, 524)(7, 515)(8, 527)(9, 516)(10, 517)(11, 532)(12, 518)(13, 535)(14, 537)(15, 520)(16, 540)(17, 542)(18, 543)(19, 545)(20, 523)(21, 548)(22, 550)(23, 525)(24, 553)(25, 526)(26, 556)(27, 558)(28, 528)(29, 561)(30, 529)(31, 530)(32, 566)(33, 531)(34, 569)(35, 571)(36, 533)(37, 574)(38, 534)(39, 577)(40, 579)(41, 536)(42, 582)(43, 584)(44, 538)(45, 587)(46, 539)(47, 590)(48, 592)(49, 541)(50, 595)(51, 597)(52, 598)(53, 600)(54, 544)(55, 603)(56, 605)(57, 546)(58, 608)(59, 547)(60, 611)(61, 613)(62, 549)(63, 616)(64, 618)(65, 551)(66, 610)(67, 552)(68, 615)(69, 624)(70, 554)(71, 627)(72, 555)(73, 617)(74, 631)(75, 557)(76, 634)(77, 599)(78, 559)(79, 636)(80, 560)(81, 639)(82, 601)(83, 562)(84, 606)(85, 563)(86, 564)(87, 589)(88, 565)(89, 594)(90, 648)(91, 567)(92, 651)(93, 568)(94, 596)(95, 655)(96, 570)(97, 658)(98, 578)(99, 572)(100, 660)(101, 573)(102, 663)(103, 580)(104, 575)(105, 585)(106, 576)(107, 643)(108, 653)(109, 662)(110, 665)(111, 668)(112, 581)(113, 666)(114, 672)(115, 583)(116, 675)(117, 644)(118, 670)(119, 586)(120, 674)(121, 679)(122, 588)(123, 682)(124, 591)(125, 684)(126, 645)(127, 593)(128, 687)(129, 646)(130, 649)(131, 619)(132, 629)(133, 638)(134, 641)(135, 690)(136, 602)(137, 642)(138, 694)(139, 604)(140, 697)(141, 620)(142, 692)(143, 607)(144, 696)(145, 701)(146, 609)(147, 704)(148, 612)(149, 706)(150, 621)(151, 614)(152, 709)(153, 622)(154, 625)(155, 711)(156, 623)(157, 698)(158, 630)(159, 695)(160, 626)(161, 693)(162, 632)(163, 628)(164, 691)(165, 715)(166, 718)(167, 633)(168, 716)(169, 708)(170, 635)(171, 707)(172, 637)(173, 705)(174, 703)(175, 640)(176, 723)(177, 724)(178, 647)(179, 676)(180, 654)(181, 673)(182, 650)(183, 671)(184, 656)(185, 652)(186, 669)(187, 728)(188, 731)(189, 657)(190, 729)(191, 686)(192, 659)(193, 685)(194, 661)(195, 683)(196, 681)(197, 664)(198, 736)(199, 667)(200, 738)(201, 727)(202, 726)(203, 677)(204, 680)(205, 741)(206, 678)(207, 734)(208, 737)(209, 732)(210, 745)(211, 688)(212, 689)(213, 747)(214, 714)(215, 713)(216, 699)(217, 702)(218, 750)(219, 700)(220, 721)(221, 746)(222, 719)(223, 754)(224, 710)(225, 720)(226, 712)(227, 756)(228, 757)(229, 717)(230, 758)(231, 755)(232, 760)(233, 722)(234, 733)(235, 725)(236, 762)(237, 763)(238, 730)(239, 764)(240, 761)(241, 766)(242, 735)(243, 743)(244, 739)(245, 740)(246, 742)(247, 765)(248, 744)(249, 752)(250, 748)(251, 749)(252, 751)(253, 759)(254, 753)(255, 768)(256, 767)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2299
Graph:: bipartite
	v = 192 e = 512 f = 288
	degree seq :: [ 4^128, 8^64 ]

E17.2297 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (R * Y1)^2, (Y1^-1 * Y2^-1)^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, Y1^4, Y1^-1 * Y2^-1 * Y1^3 * Y2^-1, (Y2^3 * Y1^-1)^2, Y2^8, Y2^-2 * Y1 * Y2^4 * Y1^-1 * Y2^-2, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^2 * Y2 * Y1^-1 * Y2^2 * Y1^-2 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1^-2 * Y2^-2 * Y1^-2, (Y2 * Y1^-1)^8 ]
Map::
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 61, 317, 29, 285)(17, 273, 37, 293, 72, 328, 39, 295)(20, 276, 43, 299, 80, 336, 41, 297)(22, 278, 47, 303, 84, 340, 45, 301)(24, 280, 51, 307, 82, 338, 44, 300)(26, 282, 46, 302, 85, 341, 55, 311)(27, 283, 56, 312, 99, 355, 58, 314)(30, 286, 62, 318, 78, 334, 40, 296)(32, 288, 57, 313, 101, 357, 63, 319)(33, 289, 64, 320, 106, 362, 66, 322)(36, 292, 70, 326, 114, 370, 68, 324)(38, 294, 74, 330, 116, 372, 71, 327)(42, 298, 81, 337, 112, 368, 67, 323)(48, 304, 65, 321, 108, 364, 87, 343)(50, 306, 92, 348, 139, 395, 90, 346)(52, 308, 75, 331, 109, 365, 89, 345)(53, 309, 91, 347, 140, 396, 95, 351)(54, 310, 96, 352, 146, 402, 97, 353)(59, 315, 69, 325, 115, 371, 102, 358)(60, 316, 103, 359, 152, 408, 104, 360)(73, 329, 119, 375, 168, 424, 117, 373)(76, 332, 118, 374, 169, 425, 122, 378)(77, 333, 123, 379, 175, 431, 124, 380)(79, 335, 126, 382, 178, 434, 127, 383)(83, 339, 129, 385, 181, 437, 131, 387)(86, 342, 135, 391, 188, 444, 133, 389)(88, 344, 137, 393, 186, 442, 132, 388)(93, 349, 130, 386, 183, 439, 142, 398)(94, 350, 144, 400, 171, 427, 120, 376)(98, 354, 134, 390, 189, 445, 148, 404)(100, 356, 150, 406, 205, 461, 149, 405)(105, 361, 154, 410, 177, 433, 125, 381)(107, 363, 157, 413, 212, 468, 155, 411)(110, 366, 156, 412, 213, 469, 160, 416)(111, 367, 161, 417, 219, 475, 162, 418)(113, 369, 164, 420, 222, 478, 165, 421)(121, 377, 173, 429, 215, 471, 158, 414)(128, 384, 180, 436, 221, 477, 163, 419)(136, 392, 159, 415, 217, 473, 190, 446)(138, 394, 192, 448, 214, 470, 193, 449)(141, 397, 197, 453, 211, 467, 195, 451)(143, 399, 199, 455, 223, 479, 194, 450)(145, 401, 196, 452, 220, 476, 201, 457)(147, 403, 203, 459, 218, 474, 202, 458)(151, 407, 166, 422, 224, 480, 207, 463)(153, 409, 208, 464, 216, 472, 209, 465)(167, 423, 225, 481, 185, 441, 226, 482)(170, 426, 230, 486, 182, 438, 228, 484)(172, 428, 232, 488, 184, 440, 227, 483)(174, 430, 229, 485, 191, 447, 234, 490)(176, 432, 236, 492, 187, 443, 235, 491)(179, 435, 238, 494, 206, 462, 239, 495)(198, 454, 241, 497, 256, 512, 244, 500)(200, 456, 245, 501, 253, 509, 231, 487)(204, 460, 242, 498, 251, 507, 240, 496)(210, 466, 248, 504, 252, 508, 237, 493)(233, 489, 254, 510, 246, 502, 249, 505)(243, 499, 250, 506, 247, 503, 255, 511)(513, 769, 515, 771, 522, 778, 536, 792, 564, 820, 544, 800, 526, 782, 517, 773)(514, 770, 519, 775, 529, 785, 550, 806, 587, 843, 556, 812, 532, 788, 520, 776)(516, 772, 524, 780, 539, 795, 569, 825, 601, 857, 560, 816, 534, 790, 521, 777)(518, 774, 527, 783, 545, 801, 577, 833, 621, 877, 583, 839, 548, 804, 528, 784)(523, 779, 538, 794, 566, 822, 543, 799, 575, 831, 605, 861, 562, 818, 535, 791)(525, 781, 541, 797, 572, 828, 606, 862, 563, 819, 537, 793, 565, 821, 542, 798)(530, 786, 552, 808, 589, 845, 555, 811, 594, 850, 632, 888, 585, 841, 549, 805)(531, 787, 553, 809, 591, 847, 633, 889, 586, 842, 551, 807, 588, 844, 554, 810)(533, 789, 557, 813, 595, 851, 642, 898, 613, 869, 570, 826, 598, 854, 558, 814)(540, 796, 571, 827, 600, 856, 559, 815, 599, 855, 648, 904, 612, 868, 568, 824)(546, 802, 579, 835, 623, 879, 582, 838, 628, 884, 670, 926, 619, 875, 576, 832)(547, 803, 580, 836, 625, 881, 671, 927, 620, 876, 578, 834, 622, 878, 581, 837)(561, 817, 602, 858, 650, 906, 615, 871, 573, 829, 609, 865, 653, 909, 603, 859)(567, 823, 610, 866, 655, 911, 604, 860, 654, 910, 710, 966, 659, 915, 608, 864)(574, 830, 607, 863, 657, 913, 712, 968, 656, 912, 616, 872, 665, 921, 617, 873)(584, 840, 629, 885, 679, 935, 638, 894, 592, 848, 636, 892, 682, 938, 630, 886)(590, 846, 637, 893, 684, 940, 631, 887, 683, 939, 743, 999, 688, 944, 635, 891)(593, 849, 634, 890, 686, 942, 745, 1001, 685, 941, 639, 895, 691, 947, 640, 896)(596, 852, 644, 900, 697, 953, 647, 903, 611, 867, 661, 917, 694, 950, 641, 897)(597, 853, 645, 901, 699, 955, 753, 1009, 695, 951, 643, 899, 696, 952, 646, 902)(614, 870, 663, 919, 718, 974, 662, 918, 702, 958, 755, 1011, 703, 959, 649, 905)(618, 874, 667, 923, 723, 979, 676, 932, 626, 882, 674, 930, 726, 982, 668, 924)(624, 880, 675, 931, 728, 984, 669, 925, 727, 983, 761, 1017, 732, 988, 673, 929)(627, 883, 672, 928, 730, 986, 762, 1018, 729, 985, 677, 933, 735, 991, 678, 934)(651, 907, 706, 962, 734, 990, 709, 965, 658, 914, 714, 970, 725, 981, 704, 960)(652, 908, 707, 963, 724, 980, 720, 976, 664, 920, 705, 961, 731, 987, 708, 964)(660, 916, 716, 972, 759, 1015, 715, 971, 756, 1012, 764, 1020, 736, 992, 711, 967)(666, 922, 721, 977, 733, 989, 763, 1019, 757, 1013, 713, 969, 758, 1014, 722, 978)(680, 936, 739, 995, 693, 949, 742, 998, 687, 943, 747, 1003, 700, 956, 737, 993)(681, 937, 740, 996, 717, 973, 750, 1006, 690, 946, 738, 994, 698, 954, 741, 997)(689, 945, 749, 1005, 768, 1024, 748, 1004, 765, 1021, 754, 1010, 701, 957, 744, 1000)(692, 948, 751, 1007, 719, 975, 760, 1016, 766, 1022, 746, 1002, 767, 1023, 752, 1008)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 565)(26, 566)(27, 569)(28, 571)(29, 572)(30, 525)(31, 575)(32, 526)(33, 577)(34, 579)(35, 580)(36, 528)(37, 530)(38, 587)(39, 588)(40, 589)(41, 591)(42, 531)(43, 594)(44, 532)(45, 595)(46, 533)(47, 599)(48, 534)(49, 602)(50, 535)(51, 537)(52, 544)(53, 542)(54, 543)(55, 610)(56, 540)(57, 601)(58, 598)(59, 600)(60, 606)(61, 609)(62, 607)(63, 605)(64, 546)(65, 621)(66, 622)(67, 623)(68, 625)(69, 547)(70, 628)(71, 548)(72, 629)(73, 549)(74, 551)(75, 556)(76, 554)(77, 555)(78, 637)(79, 633)(80, 636)(81, 634)(82, 632)(83, 642)(84, 644)(85, 645)(86, 558)(87, 648)(88, 559)(89, 560)(90, 650)(91, 561)(92, 654)(93, 562)(94, 563)(95, 657)(96, 567)(97, 653)(98, 655)(99, 661)(100, 568)(101, 570)(102, 663)(103, 573)(104, 665)(105, 574)(106, 667)(107, 576)(108, 578)(109, 583)(110, 581)(111, 582)(112, 675)(113, 671)(114, 674)(115, 672)(116, 670)(117, 679)(118, 584)(119, 683)(120, 585)(121, 586)(122, 686)(123, 590)(124, 682)(125, 684)(126, 592)(127, 691)(128, 593)(129, 596)(130, 613)(131, 696)(132, 697)(133, 699)(134, 597)(135, 611)(136, 612)(137, 614)(138, 615)(139, 706)(140, 707)(141, 603)(142, 710)(143, 604)(144, 616)(145, 712)(146, 714)(147, 608)(148, 716)(149, 694)(150, 702)(151, 718)(152, 705)(153, 617)(154, 721)(155, 723)(156, 618)(157, 727)(158, 619)(159, 620)(160, 730)(161, 624)(162, 726)(163, 728)(164, 626)(165, 735)(166, 627)(167, 638)(168, 739)(169, 740)(170, 630)(171, 743)(172, 631)(173, 639)(174, 745)(175, 747)(176, 635)(177, 749)(178, 738)(179, 640)(180, 751)(181, 742)(182, 641)(183, 643)(184, 646)(185, 647)(186, 741)(187, 753)(188, 737)(189, 744)(190, 755)(191, 649)(192, 651)(193, 731)(194, 734)(195, 724)(196, 652)(197, 658)(198, 659)(199, 660)(200, 656)(201, 758)(202, 725)(203, 756)(204, 759)(205, 750)(206, 662)(207, 760)(208, 664)(209, 733)(210, 666)(211, 676)(212, 720)(213, 704)(214, 668)(215, 761)(216, 669)(217, 677)(218, 762)(219, 708)(220, 673)(221, 763)(222, 709)(223, 678)(224, 711)(225, 680)(226, 698)(227, 693)(228, 717)(229, 681)(230, 687)(231, 688)(232, 689)(233, 685)(234, 767)(235, 700)(236, 765)(237, 768)(238, 690)(239, 719)(240, 692)(241, 695)(242, 701)(243, 703)(244, 764)(245, 713)(246, 722)(247, 715)(248, 766)(249, 732)(250, 729)(251, 757)(252, 736)(253, 754)(254, 746)(255, 752)(256, 748)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2298
Graph:: bipartite
	v = 96 e = 512 f = 384
	degree seq :: [ 8^64, 16^32 ]

E17.2298 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2)^4, (Y3^-2 * Y2 * Y3^-2)^2, Y3^-2 * Y2 * Y3^4 * Y2 * Y3^-2, (Y3^-1 * Y1^-1)^8, Y3^-2 * Y2 * Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 ]
Map:: polytopal
	R = (1, 257)(2, 258)(3, 259)(4, 260)(5, 261)(6, 262)(7, 263)(8, 264)(9, 265)(10, 266)(11, 267)(12, 268)(13, 269)(14, 270)(15, 271)(16, 272)(17, 273)(18, 274)(19, 275)(20, 276)(21, 277)(22, 278)(23, 279)(24, 280)(25, 281)(26, 282)(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, 299)(44, 300)(45, 301)(46, 302)(47, 303)(48, 304)(49, 305)(50, 306)(51, 307)(52, 308)(53, 309)(54, 310)(55, 311)(56, 312)(57, 313)(58, 314)(59, 315)(60, 316)(61, 317)(62, 318)(63, 319)(64, 320)(65, 321)(66, 322)(67, 323)(68, 324)(69, 325)(70, 326)(71, 327)(72, 328)(73, 329)(74, 330)(75, 331)(76, 332)(77, 333)(78, 334)(79, 335)(80, 336)(81, 337)(82, 338)(83, 339)(84, 340)(85, 341)(86, 342)(87, 343)(88, 344)(89, 345)(90, 346)(91, 347)(92, 348)(93, 349)(94, 350)(95, 351)(96, 352)(97, 353)(98, 354)(99, 355)(100, 356)(101, 357)(102, 358)(103, 359)(104, 360)(105, 361)(106, 362)(107, 363)(108, 364)(109, 365)(110, 366)(111, 367)(112, 368)(113, 369)(114, 370)(115, 371)(116, 372)(117, 373)(118, 374)(119, 375)(120, 376)(121, 377)(122, 378)(123, 379)(124, 380)(125, 381)(126, 382)(127, 383)(128, 384)(129, 385)(130, 386)(131, 387)(132, 388)(133, 389)(134, 390)(135, 391)(136, 392)(137, 393)(138, 394)(139, 395)(140, 396)(141, 397)(142, 398)(143, 399)(144, 400)(145, 401)(146, 402)(147, 403)(148, 404)(149, 405)(150, 406)(151, 407)(152, 408)(153, 409)(154, 410)(155, 411)(156, 412)(157, 413)(158, 414)(159, 415)(160, 416)(161, 417)(162, 418)(163, 419)(164, 420)(165, 421)(166, 422)(167, 423)(168, 424)(169, 425)(170, 426)(171, 427)(172, 428)(173, 429)(174, 430)(175, 431)(176, 432)(177, 433)(178, 434)(179, 435)(180, 436)(181, 437)(182, 438)(183, 439)(184, 440)(185, 441)(186, 442)(187, 443)(188, 444)(189, 445)(190, 446)(191, 447)(192, 448)(193, 449)(194, 450)(195, 451)(196, 452)(197, 453)(198, 454)(199, 455)(200, 456)(201, 457)(202, 458)(203, 459)(204, 460)(205, 461)(206, 462)(207, 463)(208, 464)(209, 465)(210, 466)(211, 467)(212, 468)(213, 469)(214, 470)(215, 471)(216, 472)(217, 473)(218, 474)(219, 475)(220, 476)(221, 477)(222, 478)(223, 479)(224, 480)(225, 481)(226, 482)(227, 483)(228, 484)(229, 485)(230, 486)(231, 487)(232, 488)(233, 489)(234, 490)(235, 491)(236, 492)(237, 493)(238, 494)(239, 495)(240, 496)(241, 497)(242, 498)(243, 499)(244, 500)(245, 501)(246, 502)(247, 503)(248, 504)(249, 505)(250, 506)(251, 507)(252, 508)(253, 509)(254, 510)(255, 511)(256, 512)(513, 769, 514, 770)(515, 771, 519, 775)(516, 772, 521, 777)(517, 773, 523, 779)(518, 774, 525, 781)(520, 776, 529, 785)(522, 778, 533, 789)(524, 780, 537, 793)(526, 782, 541, 797)(527, 783, 540, 796)(528, 784, 544, 800)(530, 786, 548, 804)(531, 787, 550, 806)(532, 788, 535, 791)(534, 790, 555, 811)(536, 792, 557, 813)(538, 794, 561, 817)(539, 795, 563, 819)(542, 798, 568, 824)(543, 799, 569, 825)(545, 801, 573, 829)(546, 802, 572, 828)(547, 803, 576, 832)(549, 805, 562, 818)(551, 807, 582, 838)(552, 808, 583, 839)(553, 809, 584, 840)(554, 810, 580, 836)(556, 812, 585, 841)(558, 814, 589, 845)(559, 815, 588, 844)(560, 816, 592, 848)(564, 820, 598, 854)(565, 821, 599, 855)(566, 822, 600, 856)(567, 823, 596, 852)(570, 826, 603, 859)(571, 827, 604, 860)(574, 830, 595, 851)(575, 831, 609, 865)(577, 833, 612, 868)(578, 834, 611, 867)(579, 835, 590, 846)(581, 837, 614, 870)(586, 842, 621, 877)(587, 843, 622, 878)(591, 847, 627, 883)(593, 849, 630, 886)(594, 850, 629, 885)(597, 853, 632, 888)(601, 857, 636, 892)(602, 858, 638, 894)(605, 861, 643, 899)(606, 862, 644, 900)(607, 863, 634, 890)(608, 864, 641, 897)(610, 866, 647, 903)(613, 869, 651, 907)(615, 871, 653, 909)(616, 872, 625, 881)(617, 873, 656, 912)(618, 874, 619, 875)(620, 876, 658, 914)(623, 879, 663, 919)(624, 880, 664, 920)(626, 882, 661, 917)(628, 884, 667, 923)(631, 887, 671, 927)(633, 889, 673, 929)(635, 891, 676, 932)(637, 893, 677, 933)(639, 895, 680, 936)(640, 896, 679, 935)(642, 898, 682, 938)(645, 901, 686, 942)(646, 902, 688, 944)(648, 904, 692, 948)(649, 905, 684, 940)(650, 906, 690, 946)(652, 908, 694, 950)(654, 910, 697, 953)(655, 911, 698, 954)(657, 913, 699, 955)(659, 915, 702, 958)(660, 916, 701, 957)(662, 918, 704, 960)(665, 921, 708, 964)(666, 922, 710, 966)(668, 924, 714, 970)(669, 925, 706, 962)(670, 926, 712, 968)(672, 928, 716, 972)(674, 930, 719, 975)(675, 931, 720, 976)(678, 934, 707, 963)(681, 937, 705, 961)(683, 939, 703, 959)(685, 941, 700, 956)(687, 943, 727, 983)(689, 945, 729, 985)(691, 947, 718, 974)(693, 949, 717, 973)(695, 951, 715, 971)(696, 952, 713, 969)(709, 965, 741, 997)(711, 967, 743, 999)(721, 977, 746, 1002)(722, 978, 739, 995)(723, 979, 748, 1004)(724, 980, 740, 996)(725, 981, 736, 992)(726, 982, 738, 994)(728, 984, 745, 1001)(730, 986, 747, 1003)(731, 987, 742, 998)(732, 988, 735, 991)(733, 989, 744, 1000)(734, 990, 737, 993)(749, 1005, 761, 1017)(750, 1006, 759, 1015)(751, 1007, 758, 1014)(752, 1008, 764, 1020)(753, 1009, 757, 1013)(754, 1010, 763, 1019)(755, 1011, 762, 1018)(756, 1012, 760, 1016)(765, 1021, 767, 1023)(766, 1022, 768, 1024)
	L = (1, 515)(2, 517)(3, 520)(4, 513)(5, 524)(6, 514)(7, 527)(8, 530)(9, 531)(10, 516)(11, 535)(12, 538)(13, 539)(14, 518)(15, 543)(16, 519)(17, 546)(18, 549)(19, 551)(20, 521)(21, 553)(22, 522)(23, 556)(24, 523)(25, 559)(26, 562)(27, 564)(28, 525)(29, 566)(30, 526)(31, 570)(32, 571)(33, 528)(34, 575)(35, 529)(36, 578)(37, 534)(38, 580)(39, 579)(40, 532)(41, 577)(42, 533)(43, 574)(44, 586)(45, 587)(46, 536)(47, 591)(48, 537)(49, 594)(50, 542)(51, 596)(52, 595)(53, 540)(54, 593)(55, 541)(56, 590)(57, 601)(58, 555)(59, 605)(60, 544)(61, 607)(62, 545)(63, 554)(64, 610)(65, 547)(66, 552)(67, 548)(68, 613)(69, 550)(70, 615)(71, 617)(72, 603)(73, 619)(74, 568)(75, 623)(76, 557)(77, 625)(78, 558)(79, 567)(80, 628)(81, 560)(82, 565)(83, 561)(84, 631)(85, 563)(86, 633)(87, 635)(88, 621)(89, 637)(90, 569)(91, 640)(92, 641)(93, 584)(94, 572)(95, 639)(96, 573)(97, 645)(98, 581)(99, 576)(100, 649)(101, 648)(102, 652)(103, 654)(104, 582)(105, 655)(106, 583)(107, 657)(108, 585)(109, 660)(110, 661)(111, 600)(112, 588)(113, 659)(114, 589)(115, 665)(116, 597)(117, 592)(118, 669)(119, 668)(120, 672)(121, 674)(122, 598)(123, 675)(124, 599)(125, 608)(126, 678)(127, 602)(128, 606)(129, 681)(130, 604)(131, 683)(132, 685)(133, 687)(134, 609)(135, 690)(136, 611)(137, 689)(138, 612)(139, 688)(140, 695)(141, 614)(142, 618)(143, 616)(144, 692)(145, 626)(146, 700)(147, 620)(148, 624)(149, 703)(150, 622)(151, 705)(152, 707)(153, 709)(154, 627)(155, 712)(156, 629)(157, 711)(158, 630)(159, 710)(160, 717)(161, 632)(162, 636)(163, 634)(164, 714)(165, 721)(166, 642)(167, 638)(168, 723)(169, 704)(170, 701)(171, 725)(172, 643)(173, 726)(174, 644)(175, 650)(176, 728)(177, 646)(178, 730)(179, 647)(180, 716)(181, 651)(182, 718)(183, 656)(184, 653)(185, 731)(186, 733)(187, 735)(188, 662)(189, 658)(190, 737)(191, 682)(192, 679)(193, 739)(194, 663)(195, 740)(196, 664)(197, 670)(198, 742)(199, 666)(200, 744)(201, 667)(202, 694)(203, 671)(204, 696)(205, 676)(206, 673)(207, 745)(208, 747)(209, 749)(210, 677)(211, 750)(212, 680)(213, 686)(214, 684)(215, 751)(216, 691)(217, 753)(218, 693)(219, 755)(220, 697)(221, 756)(222, 698)(223, 757)(224, 699)(225, 758)(226, 702)(227, 708)(228, 706)(229, 759)(230, 713)(231, 761)(232, 715)(233, 763)(234, 719)(235, 764)(236, 720)(237, 724)(238, 722)(239, 765)(240, 727)(241, 766)(242, 729)(243, 734)(244, 732)(245, 738)(246, 736)(247, 767)(248, 741)(249, 768)(250, 743)(251, 748)(252, 746)(253, 754)(254, 752)(255, 762)(256, 760)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 8, 16 ), ( 8, 16, 8, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2297
Graph:: simple bipartite
	v = 384 e = 512 f = 96
	degree seq :: [ 2^256, 4^128 ]

E17.2299 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (Y3 * Y2^-1)^2, (R * Y1)^2, Y1^8, (Y3 * Y1^-1)^4, (Y1^-1 * Y3 * Y1^-3)^2, Y1^-3 * Y3 * Y1^4 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1 * Y3 * Y1^-2 ]
Map:: polytopal
	R = (1, 257, 2, 258, 5, 261, 11, 267, 23, 279, 22, 278, 10, 266, 4, 260)(3, 259, 7, 263, 15, 271, 31, 287, 44, 300, 37, 293, 18, 274, 8, 264)(6, 262, 13, 269, 27, 283, 51, 307, 43, 299, 56, 312, 30, 286, 14, 270)(9, 265, 19, 275, 38, 294, 46, 302, 24, 280, 45, 301, 40, 296, 20, 276)(12, 268, 25, 281, 47, 303, 42, 298, 21, 277, 41, 297, 50, 306, 26, 282)(16, 272, 33, 289, 60, 316, 93, 349, 67, 323, 74, 330, 62, 318, 34, 290)(17, 273, 35, 291, 63, 319, 88, 344, 57, 313, 83, 339, 53, 309, 28, 284)(29, 285, 54, 310, 84, 340, 72, 328, 79, 335, 111, 367, 76, 332, 48, 304)(32, 288, 58, 314, 89, 345, 66, 322, 36, 292, 65, 321, 92, 348, 59, 315)(39, 295, 69, 325, 103, 359, 107, 363, 73, 329, 49, 305, 77, 333, 70, 326)(52, 308, 80, 336, 115, 371, 87, 343, 55, 311, 86, 342, 118, 374, 81, 337)(61, 317, 95, 351, 132, 388, 100, 356, 129, 385, 168, 424, 126, 382, 90, 346)(64, 320, 98, 354, 137, 393, 161, 417, 120, 376, 91, 347, 127, 383, 99, 355)(68, 324, 101, 357, 139, 395, 106, 362, 71, 327, 105, 361, 141, 397, 102, 358)(75, 331, 108, 364, 146, 402, 114, 370, 78, 334, 113, 369, 149, 405, 109, 365)(82, 338, 119, 375, 159, 415, 124, 380, 97, 353, 136, 392, 156, 412, 116, 372)(85, 341, 122, 378, 163, 419, 194, 450, 151, 407, 117, 373, 157, 413, 123, 379)(94, 350, 130, 386, 172, 428, 135, 391, 96, 352, 134, 390, 174, 430, 131, 387)(104, 360, 143, 399, 185, 441, 144, 400, 145, 401, 187, 443, 182, 438, 140, 396)(110, 366, 150, 406, 192, 448, 154, 410, 121, 377, 162, 418, 189, 445, 147, 403)(112, 368, 152, 408, 195, 451, 184, 440, 142, 398, 148, 404, 190, 446, 153, 409)(125, 381, 165, 421, 209, 465, 171, 427, 128, 384, 170, 426, 212, 468, 166, 422)(133, 389, 176, 432, 206, 462, 164, 420, 208, 464, 173, 429, 193, 449, 177, 433)(138, 394, 180, 436, 205, 461, 160, 416, 204, 460, 186, 442, 196, 452, 178, 434)(155, 411, 197, 453, 231, 487, 202, 458, 158, 414, 201, 457, 234, 490, 198, 454)(167, 423, 200, 456, 235, 491, 215, 471, 175, 431, 207, 463, 233, 489, 210, 466)(169, 425, 213, 469, 240, 496, 218, 474, 179, 435, 211, 467, 238, 494, 214, 470)(181, 437, 219, 475, 243, 499, 222, 478, 183, 439, 221, 477, 244, 500, 220, 476)(188, 444, 223, 479, 245, 501, 228, 484, 191, 447, 227, 483, 248, 504, 224, 480)(199, 455, 226, 482, 249, 505, 236, 492, 203, 459, 230, 486, 247, 503, 232, 488)(216, 472, 241, 497, 250, 506, 229, 485, 217, 473, 242, 498, 246, 502, 225, 481)(237, 493, 252, 508, 255, 511, 254, 510, 239, 495, 251, 507, 256, 512, 253, 509)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 518)(3, 513)(4, 521)(5, 524)(6, 514)(7, 528)(8, 529)(9, 516)(10, 533)(11, 536)(12, 517)(13, 540)(14, 541)(15, 544)(16, 519)(17, 520)(18, 548)(19, 551)(20, 545)(21, 522)(22, 555)(23, 556)(24, 523)(25, 560)(26, 561)(27, 564)(28, 525)(29, 526)(30, 567)(31, 569)(32, 527)(33, 532)(34, 573)(35, 576)(36, 530)(37, 579)(38, 580)(39, 531)(40, 583)(41, 584)(42, 581)(43, 534)(44, 535)(45, 585)(46, 586)(47, 587)(48, 537)(49, 538)(50, 590)(51, 591)(52, 539)(53, 594)(54, 597)(55, 542)(56, 600)(57, 543)(58, 602)(59, 603)(60, 606)(61, 546)(62, 608)(63, 609)(64, 547)(65, 612)(66, 610)(67, 549)(68, 550)(69, 554)(70, 616)(71, 552)(72, 553)(73, 557)(74, 558)(75, 559)(76, 622)(77, 624)(78, 562)(79, 563)(80, 628)(81, 629)(82, 565)(83, 632)(84, 633)(85, 566)(86, 636)(87, 634)(88, 568)(89, 637)(90, 570)(91, 571)(92, 640)(93, 641)(94, 572)(95, 645)(96, 574)(97, 575)(98, 578)(99, 650)(100, 577)(101, 652)(102, 646)(103, 654)(104, 582)(105, 656)(106, 642)(107, 657)(108, 659)(109, 660)(110, 588)(111, 663)(112, 589)(113, 666)(114, 664)(115, 667)(116, 592)(117, 593)(118, 670)(119, 672)(120, 595)(121, 596)(122, 599)(123, 676)(124, 598)(125, 601)(126, 679)(127, 681)(128, 604)(129, 605)(130, 618)(131, 685)(132, 687)(133, 607)(134, 614)(135, 688)(136, 690)(137, 691)(138, 611)(139, 693)(140, 613)(141, 695)(142, 615)(143, 698)(144, 617)(145, 619)(146, 700)(147, 620)(148, 621)(149, 703)(150, 705)(151, 623)(152, 626)(153, 708)(154, 625)(155, 627)(156, 711)(157, 712)(158, 630)(159, 715)(160, 631)(161, 716)(162, 718)(163, 719)(164, 635)(165, 722)(166, 723)(167, 638)(168, 720)(169, 639)(170, 727)(171, 725)(172, 728)(173, 643)(174, 729)(175, 644)(176, 647)(177, 706)(178, 648)(179, 649)(180, 699)(181, 651)(182, 726)(183, 653)(184, 717)(185, 730)(186, 655)(187, 692)(188, 658)(189, 737)(190, 738)(191, 661)(192, 741)(193, 662)(194, 689)(195, 742)(196, 665)(197, 744)(198, 745)(199, 668)(200, 669)(201, 748)(202, 747)(203, 671)(204, 673)(205, 696)(206, 674)(207, 675)(208, 680)(209, 749)(210, 677)(211, 678)(212, 751)(213, 683)(214, 694)(215, 682)(216, 684)(217, 686)(218, 697)(219, 750)(220, 753)(221, 752)(222, 754)(223, 758)(224, 759)(225, 701)(226, 702)(227, 762)(228, 761)(229, 704)(230, 707)(231, 763)(232, 709)(233, 710)(234, 764)(235, 714)(236, 713)(237, 721)(238, 731)(239, 724)(240, 733)(241, 732)(242, 734)(243, 766)(244, 765)(245, 767)(246, 735)(247, 736)(248, 768)(249, 740)(250, 739)(251, 743)(252, 746)(253, 756)(254, 755)(255, 757)(256, 760)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2296
Graph:: simple bipartite
	v = 288 e = 512 f = 192
	degree seq :: [ 2^256, 16^32 ]

E17.2300 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^8, (Y3 * Y2^-1)^4, (R * Y2^3 * Y1)^2, (Y2^-1 * Y1 * Y2^-3)^2, (Y2^-2 * Y1 * Y2 * Y1 * Y2^-1)^2, Y2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 257, 2, 258)(3, 259, 7, 263)(4, 260, 9, 265)(5, 261, 11, 267)(6, 262, 13, 269)(8, 264, 17, 273)(10, 266, 21, 277)(12, 268, 25, 281)(14, 270, 29, 285)(15, 271, 28, 284)(16, 272, 32, 288)(18, 274, 36, 292)(19, 275, 38, 294)(20, 276, 23, 279)(22, 278, 43, 299)(24, 280, 45, 301)(26, 282, 49, 305)(27, 283, 51, 307)(30, 286, 56, 312)(31, 287, 57, 313)(33, 289, 61, 317)(34, 290, 60, 316)(35, 291, 64, 320)(37, 293, 50, 306)(39, 295, 70, 326)(40, 296, 71, 327)(41, 297, 72, 328)(42, 298, 68, 324)(44, 300, 73, 329)(46, 302, 77, 333)(47, 303, 76, 332)(48, 304, 80, 336)(52, 308, 86, 342)(53, 309, 87, 343)(54, 310, 88, 344)(55, 311, 84, 340)(58, 314, 91, 347)(59, 315, 92, 348)(62, 318, 83, 339)(63, 319, 97, 353)(65, 321, 100, 356)(66, 322, 99, 355)(67, 323, 78, 334)(69, 325, 102, 358)(74, 330, 109, 365)(75, 331, 110, 366)(79, 335, 115, 371)(81, 337, 118, 374)(82, 338, 117, 373)(85, 341, 120, 376)(89, 345, 124, 380)(90, 346, 126, 382)(93, 349, 131, 387)(94, 350, 132, 388)(95, 351, 122, 378)(96, 352, 129, 385)(98, 354, 135, 391)(101, 357, 139, 395)(103, 359, 141, 397)(104, 360, 113, 369)(105, 361, 144, 400)(106, 362, 107, 363)(108, 364, 146, 402)(111, 367, 151, 407)(112, 368, 152, 408)(114, 370, 149, 405)(116, 372, 155, 411)(119, 375, 159, 415)(121, 377, 161, 417)(123, 379, 164, 420)(125, 381, 165, 421)(127, 383, 168, 424)(128, 384, 167, 423)(130, 386, 170, 426)(133, 389, 174, 430)(134, 390, 176, 432)(136, 392, 180, 436)(137, 393, 172, 428)(138, 394, 178, 434)(140, 396, 182, 438)(142, 398, 185, 441)(143, 399, 186, 442)(145, 401, 187, 443)(147, 403, 190, 446)(148, 404, 189, 445)(150, 406, 192, 448)(153, 409, 196, 452)(154, 410, 198, 454)(156, 412, 202, 458)(157, 413, 194, 450)(158, 414, 200, 456)(160, 416, 204, 460)(162, 418, 207, 463)(163, 419, 208, 464)(166, 422, 195, 451)(169, 425, 193, 449)(171, 427, 191, 447)(173, 429, 188, 444)(175, 431, 215, 471)(177, 433, 217, 473)(179, 435, 206, 462)(181, 437, 205, 461)(183, 439, 203, 459)(184, 440, 201, 457)(197, 453, 229, 485)(199, 455, 231, 487)(209, 465, 234, 490)(210, 466, 227, 483)(211, 467, 236, 492)(212, 468, 228, 484)(213, 469, 224, 480)(214, 470, 226, 482)(216, 472, 233, 489)(218, 474, 235, 491)(219, 475, 230, 486)(220, 476, 223, 479)(221, 477, 232, 488)(222, 478, 225, 481)(237, 493, 249, 505)(238, 494, 247, 503)(239, 495, 246, 502)(240, 496, 252, 508)(241, 497, 245, 501)(242, 498, 251, 507)(243, 499, 250, 506)(244, 500, 248, 504)(253, 509, 255, 511)(254, 510, 256, 512)(513, 769, 515, 771, 520, 776, 530, 786, 549, 805, 534, 790, 522, 778, 516, 772)(514, 770, 517, 773, 524, 780, 538, 794, 562, 818, 542, 798, 526, 782, 518, 774)(519, 775, 527, 783, 543, 799, 570, 826, 555, 811, 574, 830, 545, 801, 528, 784)(521, 777, 531, 787, 551, 807, 579, 835, 548, 804, 578, 834, 552, 808, 532, 788)(523, 779, 535, 791, 556, 812, 586, 842, 568, 824, 590, 846, 558, 814, 536, 792)(525, 781, 539, 795, 564, 820, 595, 851, 561, 817, 594, 850, 565, 821, 540, 796)(529, 785, 546, 802, 575, 831, 554, 810, 533, 789, 553, 809, 577, 833, 547, 803)(537, 793, 559, 815, 591, 847, 567, 823, 541, 797, 566, 822, 593, 849, 560, 816)(544, 800, 571, 827, 605, 861, 584, 840, 603, 859, 640, 896, 606, 862, 572, 828)(550, 806, 580, 836, 613, 869, 648, 904, 611, 867, 576, 832, 610, 866, 581, 837)(557, 813, 587, 843, 623, 879, 600, 856, 621, 877, 660, 916, 624, 880, 588, 844)(563, 819, 596, 852, 631, 887, 668, 924, 629, 885, 592, 848, 628, 884, 597, 853)(569, 825, 601, 857, 637, 893, 608, 864, 573, 829, 607, 863, 639, 895, 602, 858)(582, 838, 615, 871, 654, 910, 618, 874, 583, 839, 617, 873, 655, 911, 616, 872)(585, 841, 619, 875, 657, 913, 626, 882, 589, 845, 625, 881, 659, 915, 620, 876)(598, 854, 633, 889, 674, 930, 636, 892, 599, 855, 635, 891, 675, 931, 634, 890)(604, 860, 641, 897, 681, 937, 704, 960, 679, 935, 638, 894, 678, 934, 642, 898)(609, 865, 645, 901, 687, 943, 650, 906, 612, 868, 649, 905, 689, 945, 646, 902)(614, 870, 652, 908, 695, 951, 656, 912, 692, 948, 716, 972, 696, 952, 653, 909)(622, 878, 661, 917, 703, 959, 682, 938, 701, 957, 658, 914, 700, 956, 662, 918)(627, 883, 665, 921, 709, 965, 670, 926, 630, 886, 669, 925, 711, 967, 666, 922)(632, 888, 672, 928, 717, 973, 676, 932, 714, 970, 694, 950, 718, 974, 673, 929)(643, 899, 683, 939, 725, 981, 686, 942, 644, 900, 685, 941, 726, 982, 684, 940)(647, 903, 690, 946, 730, 986, 693, 949, 651, 907, 688, 944, 728, 984, 691, 947)(663, 919, 705, 961, 739, 995, 708, 964, 664, 920, 707, 963, 740, 996, 706, 962)(667, 923, 712, 968, 744, 1000, 715, 971, 671, 927, 710, 966, 742, 998, 713, 969)(677, 933, 721, 977, 749, 1005, 724, 980, 680, 936, 723, 979, 750, 1006, 722, 978)(697, 953, 731, 987, 755, 1011, 734, 990, 698, 954, 733, 989, 756, 1012, 732, 988)(699, 955, 735, 991, 757, 1013, 738, 994, 702, 958, 737, 993, 758, 1014, 736, 992)(719, 975, 745, 1001, 763, 1019, 748, 1004, 720, 976, 747, 1003, 764, 1020, 746, 1002)(727, 983, 751, 1007, 765, 1021, 754, 1010, 729, 985, 753, 1009, 766, 1022, 752, 1008)(741, 997, 759, 1015, 767, 1023, 762, 1018, 743, 999, 761, 1017, 768, 1024, 760, 1016)
	L = (1, 514)(2, 513)(3, 519)(4, 521)(5, 523)(6, 525)(7, 515)(8, 529)(9, 516)(10, 533)(11, 517)(12, 537)(13, 518)(14, 541)(15, 540)(16, 544)(17, 520)(18, 548)(19, 550)(20, 535)(21, 522)(22, 555)(23, 532)(24, 557)(25, 524)(26, 561)(27, 563)(28, 527)(29, 526)(30, 568)(31, 569)(32, 528)(33, 573)(34, 572)(35, 576)(36, 530)(37, 562)(38, 531)(39, 582)(40, 583)(41, 584)(42, 580)(43, 534)(44, 585)(45, 536)(46, 589)(47, 588)(48, 592)(49, 538)(50, 549)(51, 539)(52, 598)(53, 599)(54, 600)(55, 596)(56, 542)(57, 543)(58, 603)(59, 604)(60, 546)(61, 545)(62, 595)(63, 609)(64, 547)(65, 612)(66, 611)(67, 590)(68, 554)(69, 614)(70, 551)(71, 552)(72, 553)(73, 556)(74, 621)(75, 622)(76, 559)(77, 558)(78, 579)(79, 627)(80, 560)(81, 630)(82, 629)(83, 574)(84, 567)(85, 632)(86, 564)(87, 565)(88, 566)(89, 636)(90, 638)(91, 570)(92, 571)(93, 643)(94, 644)(95, 634)(96, 641)(97, 575)(98, 647)(99, 578)(100, 577)(101, 651)(102, 581)(103, 653)(104, 625)(105, 656)(106, 619)(107, 618)(108, 658)(109, 586)(110, 587)(111, 663)(112, 664)(113, 616)(114, 661)(115, 591)(116, 667)(117, 594)(118, 593)(119, 671)(120, 597)(121, 673)(122, 607)(123, 676)(124, 601)(125, 677)(126, 602)(127, 680)(128, 679)(129, 608)(130, 682)(131, 605)(132, 606)(133, 686)(134, 688)(135, 610)(136, 692)(137, 684)(138, 690)(139, 613)(140, 694)(141, 615)(142, 697)(143, 698)(144, 617)(145, 699)(146, 620)(147, 702)(148, 701)(149, 626)(150, 704)(151, 623)(152, 624)(153, 708)(154, 710)(155, 628)(156, 714)(157, 706)(158, 712)(159, 631)(160, 716)(161, 633)(162, 719)(163, 720)(164, 635)(165, 637)(166, 707)(167, 640)(168, 639)(169, 705)(170, 642)(171, 703)(172, 649)(173, 700)(174, 645)(175, 727)(176, 646)(177, 729)(178, 650)(179, 718)(180, 648)(181, 717)(182, 652)(183, 715)(184, 713)(185, 654)(186, 655)(187, 657)(188, 685)(189, 660)(190, 659)(191, 683)(192, 662)(193, 681)(194, 669)(195, 678)(196, 665)(197, 741)(198, 666)(199, 743)(200, 670)(201, 696)(202, 668)(203, 695)(204, 672)(205, 693)(206, 691)(207, 674)(208, 675)(209, 746)(210, 739)(211, 748)(212, 740)(213, 736)(214, 738)(215, 687)(216, 745)(217, 689)(218, 747)(219, 742)(220, 735)(221, 744)(222, 737)(223, 732)(224, 725)(225, 734)(226, 726)(227, 722)(228, 724)(229, 709)(230, 731)(231, 711)(232, 733)(233, 728)(234, 721)(235, 730)(236, 723)(237, 761)(238, 759)(239, 758)(240, 764)(241, 757)(242, 763)(243, 762)(244, 760)(245, 753)(246, 751)(247, 750)(248, 756)(249, 749)(250, 755)(251, 754)(252, 752)(253, 767)(254, 768)(255, 765)(256, 766)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	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 E17.2301
Graph:: bipartite
	v = 160 e = 512 f = 320
	degree seq :: [ 4^128, 16^32 ]

E17.2301 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 8})
Quotient :: dipole
Aut^+ = $<256, 515>$ (small group id <256, 515>)
Aut   = $<512, -1>$ (small group id <512, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3 * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1 * Y3^2)^2, (Y3^-2 * Y1^-2 * Y3^-2)^2, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-5 * Y1^-1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^-2 * Y3^-2 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^2 * Y3^2 * Y1^-2, (Y3 * Y2^-1)^8, (Y3 * Y1^-1)^8 ]
Map:: polytopal
	R = (1, 257, 2, 258, 6, 262, 4, 260)(3, 259, 9, 265, 21, 277, 11, 267)(5, 261, 13, 269, 18, 274, 7, 263)(8, 264, 19, 275, 34, 290, 15, 271)(10, 266, 23, 279, 49, 305, 25, 281)(12, 268, 16, 272, 35, 291, 28, 284)(14, 270, 31, 287, 61, 317, 29, 285)(17, 273, 37, 293, 72, 328, 39, 295)(20, 276, 43, 299, 80, 336, 41, 297)(22, 278, 47, 303, 84, 340, 45, 301)(24, 280, 51, 307, 82, 338, 44, 300)(26, 282, 46, 302, 85, 341, 55, 311)(27, 283, 56, 312, 99, 355, 58, 314)(30, 286, 62, 318, 78, 334, 40, 296)(32, 288, 57, 313, 101, 357, 63, 319)(33, 289, 64, 320, 106, 362, 66, 322)(36, 292, 70, 326, 114, 370, 68, 324)(38, 294, 74, 330, 116, 372, 71, 327)(42, 298, 81, 337, 112, 368, 67, 323)(48, 304, 65, 321, 108, 364, 87, 343)(50, 306, 92, 348, 139, 395, 90, 346)(52, 308, 75, 331, 109, 365, 89, 345)(53, 309, 91, 347, 140, 396, 95, 351)(54, 310, 96, 352, 146, 402, 97, 353)(59, 315, 69, 325, 115, 371, 102, 358)(60, 316, 103, 359, 152, 408, 104, 360)(73, 329, 119, 375, 168, 424, 117, 373)(76, 332, 118, 374, 169, 425, 122, 378)(77, 333, 123, 379, 175, 431, 124, 380)(79, 335, 126, 382, 178, 434, 127, 383)(83, 339, 129, 385, 181, 437, 131, 387)(86, 342, 135, 391, 188, 444, 133, 389)(88, 344, 137, 393, 186, 442, 132, 388)(93, 349, 130, 386, 183, 439, 142, 398)(94, 350, 144, 400, 171, 427, 120, 376)(98, 354, 134, 390, 189, 445, 148, 404)(100, 356, 150, 406, 205, 461, 149, 405)(105, 361, 154, 410, 177, 433, 125, 381)(107, 363, 157, 413, 212, 468, 155, 411)(110, 366, 156, 412, 213, 469, 160, 416)(111, 367, 161, 417, 219, 475, 162, 418)(113, 369, 164, 420, 222, 478, 165, 421)(121, 377, 173, 429, 215, 471, 158, 414)(128, 384, 180, 436, 221, 477, 163, 419)(136, 392, 159, 415, 217, 473, 190, 446)(138, 394, 192, 448, 214, 470, 193, 449)(141, 397, 197, 453, 211, 467, 195, 451)(143, 399, 199, 455, 223, 479, 194, 450)(145, 401, 196, 452, 220, 476, 201, 457)(147, 403, 203, 459, 218, 474, 202, 458)(151, 407, 166, 422, 224, 480, 207, 463)(153, 409, 208, 464, 216, 472, 209, 465)(167, 423, 225, 481, 185, 441, 226, 482)(170, 426, 230, 486, 182, 438, 228, 484)(172, 428, 232, 488, 184, 440, 227, 483)(174, 430, 229, 485, 191, 447, 234, 490)(176, 432, 236, 492, 187, 443, 235, 491)(179, 435, 238, 494, 206, 462, 239, 495)(198, 454, 241, 497, 256, 512, 244, 500)(200, 456, 245, 501, 253, 509, 231, 487)(204, 460, 242, 498, 251, 507, 240, 496)(210, 466, 248, 504, 252, 508, 237, 493)(233, 489, 254, 510, 246, 502, 249, 505)(243, 499, 250, 506, 247, 503, 255, 511)(513, 769)(514, 770)(515, 771)(516, 772)(517, 773)(518, 774)(519, 775)(520, 776)(521, 777)(522, 778)(523, 779)(524, 780)(525, 781)(526, 782)(527, 783)(528, 784)(529, 785)(530, 786)(531, 787)(532, 788)(533, 789)(534, 790)(535, 791)(536, 792)(537, 793)(538, 794)(539, 795)(540, 796)(541, 797)(542, 798)(543, 799)(544, 800)(545, 801)(546, 802)(547, 803)(548, 804)(549, 805)(550, 806)(551, 807)(552, 808)(553, 809)(554, 810)(555, 811)(556, 812)(557, 813)(558, 814)(559, 815)(560, 816)(561, 817)(562, 818)(563, 819)(564, 820)(565, 821)(566, 822)(567, 823)(568, 824)(569, 825)(570, 826)(571, 827)(572, 828)(573, 829)(574, 830)(575, 831)(576, 832)(577, 833)(578, 834)(579, 835)(580, 836)(581, 837)(582, 838)(583, 839)(584, 840)(585, 841)(586, 842)(587, 843)(588, 844)(589, 845)(590, 846)(591, 847)(592, 848)(593, 849)(594, 850)(595, 851)(596, 852)(597, 853)(598, 854)(599, 855)(600, 856)(601, 857)(602, 858)(603, 859)(604, 860)(605, 861)(606, 862)(607, 863)(608, 864)(609, 865)(610, 866)(611, 867)(612, 868)(613, 869)(614, 870)(615, 871)(616, 872)(617, 873)(618, 874)(619, 875)(620, 876)(621, 877)(622, 878)(623, 879)(624, 880)(625, 881)(626, 882)(627, 883)(628, 884)(629, 885)(630, 886)(631, 887)(632, 888)(633, 889)(634, 890)(635, 891)(636, 892)(637, 893)(638, 894)(639, 895)(640, 896)(641, 897)(642, 898)(643, 899)(644, 900)(645, 901)(646, 902)(647, 903)(648, 904)(649, 905)(650, 906)(651, 907)(652, 908)(653, 909)(654, 910)(655, 911)(656, 912)(657, 913)(658, 914)(659, 915)(660, 916)(661, 917)(662, 918)(663, 919)(664, 920)(665, 921)(666, 922)(667, 923)(668, 924)(669, 925)(670, 926)(671, 927)(672, 928)(673, 929)(674, 930)(675, 931)(676, 932)(677, 933)(678, 934)(679, 935)(680, 936)(681, 937)(682, 938)(683, 939)(684, 940)(685, 941)(686, 942)(687, 943)(688, 944)(689, 945)(690, 946)(691, 947)(692, 948)(693, 949)(694, 950)(695, 951)(696, 952)(697, 953)(698, 954)(699, 955)(700, 956)(701, 957)(702, 958)(703, 959)(704, 960)(705, 961)(706, 962)(707, 963)(708, 964)(709, 965)(710, 966)(711, 967)(712, 968)(713, 969)(714, 970)(715, 971)(716, 972)(717, 973)(718, 974)(719, 975)(720, 976)(721, 977)(722, 978)(723, 979)(724, 980)(725, 981)(726, 982)(727, 983)(728, 984)(729, 985)(730, 986)(731, 987)(732, 988)(733, 989)(734, 990)(735, 991)(736, 992)(737, 993)(738, 994)(739, 995)(740, 996)(741, 997)(742, 998)(743, 999)(744, 1000)(745, 1001)(746, 1002)(747, 1003)(748, 1004)(749, 1005)(750, 1006)(751, 1007)(752, 1008)(753, 1009)(754, 1010)(755, 1011)(756, 1012)(757, 1013)(758, 1014)(759, 1015)(760, 1016)(761, 1017)(762, 1018)(763, 1019)(764, 1020)(765, 1021)(766, 1022)(767, 1023)(768, 1024)
	L = (1, 515)(2, 519)(3, 522)(4, 524)(5, 513)(6, 527)(7, 529)(8, 514)(9, 516)(10, 536)(11, 538)(12, 539)(13, 541)(14, 517)(15, 545)(16, 518)(17, 550)(18, 552)(19, 553)(20, 520)(21, 557)(22, 521)(23, 523)(24, 564)(25, 565)(26, 566)(27, 569)(28, 571)(29, 572)(30, 525)(31, 575)(32, 526)(33, 577)(34, 579)(35, 580)(36, 528)(37, 530)(38, 587)(39, 588)(40, 589)(41, 591)(42, 531)(43, 594)(44, 532)(45, 595)(46, 533)(47, 599)(48, 534)(49, 602)(50, 535)(51, 537)(52, 544)(53, 542)(54, 543)(55, 610)(56, 540)(57, 601)(58, 598)(59, 600)(60, 606)(61, 609)(62, 607)(63, 605)(64, 546)(65, 621)(66, 622)(67, 623)(68, 625)(69, 547)(70, 628)(71, 548)(72, 629)(73, 549)(74, 551)(75, 556)(76, 554)(77, 555)(78, 637)(79, 633)(80, 636)(81, 634)(82, 632)(83, 642)(84, 644)(85, 645)(86, 558)(87, 648)(88, 559)(89, 560)(90, 650)(91, 561)(92, 654)(93, 562)(94, 563)(95, 657)(96, 567)(97, 653)(98, 655)(99, 661)(100, 568)(101, 570)(102, 663)(103, 573)(104, 665)(105, 574)(106, 667)(107, 576)(108, 578)(109, 583)(110, 581)(111, 582)(112, 675)(113, 671)(114, 674)(115, 672)(116, 670)(117, 679)(118, 584)(119, 683)(120, 585)(121, 586)(122, 686)(123, 590)(124, 682)(125, 684)(126, 592)(127, 691)(128, 593)(129, 596)(130, 613)(131, 696)(132, 697)(133, 699)(134, 597)(135, 611)(136, 612)(137, 614)(138, 615)(139, 706)(140, 707)(141, 603)(142, 710)(143, 604)(144, 616)(145, 712)(146, 714)(147, 608)(148, 716)(149, 694)(150, 702)(151, 718)(152, 705)(153, 617)(154, 721)(155, 723)(156, 618)(157, 727)(158, 619)(159, 620)(160, 730)(161, 624)(162, 726)(163, 728)(164, 626)(165, 735)(166, 627)(167, 638)(168, 739)(169, 740)(170, 630)(171, 743)(172, 631)(173, 639)(174, 745)(175, 747)(176, 635)(177, 749)(178, 738)(179, 640)(180, 751)(181, 742)(182, 641)(183, 643)(184, 646)(185, 647)(186, 741)(187, 753)(188, 737)(189, 744)(190, 755)(191, 649)(192, 651)(193, 731)(194, 734)(195, 724)(196, 652)(197, 658)(198, 659)(199, 660)(200, 656)(201, 758)(202, 725)(203, 756)(204, 759)(205, 750)(206, 662)(207, 760)(208, 664)(209, 733)(210, 666)(211, 676)(212, 720)(213, 704)(214, 668)(215, 761)(216, 669)(217, 677)(218, 762)(219, 708)(220, 673)(221, 763)(222, 709)(223, 678)(224, 711)(225, 680)(226, 698)(227, 693)(228, 717)(229, 681)(230, 687)(231, 688)(232, 689)(233, 685)(234, 767)(235, 700)(236, 765)(237, 768)(238, 690)(239, 719)(240, 692)(241, 695)(242, 701)(243, 703)(244, 764)(245, 713)(246, 722)(247, 715)(248, 766)(249, 732)(250, 729)(251, 757)(252, 736)(253, 754)(254, 746)(255, 752)(256, 748)(257, 769)(258, 770)(259, 771)(260, 772)(261, 773)(262, 774)(263, 775)(264, 776)(265, 777)(266, 778)(267, 779)(268, 780)(269, 781)(270, 782)(271, 783)(272, 784)(273, 785)(274, 786)(275, 787)(276, 788)(277, 789)(278, 790)(279, 791)(280, 792)(281, 793)(282, 794)(283, 795)(284, 796)(285, 797)(286, 798)(287, 799)(288, 800)(289, 801)(290, 802)(291, 803)(292, 804)(293, 805)(294, 806)(295, 807)(296, 808)(297, 809)(298, 810)(299, 811)(300, 812)(301, 813)(302, 814)(303, 815)(304, 816)(305, 817)(306, 818)(307, 819)(308, 820)(309, 821)(310, 822)(311, 823)(312, 824)(313, 825)(314, 826)(315, 827)(316, 828)(317, 829)(318, 830)(319, 831)(320, 832)(321, 833)(322, 834)(323, 835)(324, 836)(325, 837)(326, 838)(327, 839)(328, 840)(329, 841)(330, 842)(331, 843)(332, 844)(333, 845)(334, 846)(335, 847)(336, 848)(337, 849)(338, 850)(339, 851)(340, 852)(341, 853)(342, 854)(343, 855)(344, 856)(345, 857)(346, 858)(347, 859)(348, 860)(349, 861)(350, 862)(351, 863)(352, 864)(353, 865)(354, 866)(355, 867)(356, 868)(357, 869)(358, 870)(359, 871)(360, 872)(361, 873)(362, 874)(363, 875)(364, 876)(365, 877)(366, 878)(367, 879)(368, 880)(369, 881)(370, 882)(371, 883)(372, 884)(373, 885)(374, 886)(375, 887)(376, 888)(377, 889)(378, 890)(379, 891)(380, 892)(381, 893)(382, 894)(383, 895)(384, 896)(385, 897)(386, 898)(387, 899)(388, 900)(389, 901)(390, 902)(391, 903)(392, 904)(393, 905)(394, 906)(395, 907)(396, 908)(397, 909)(398, 910)(399, 911)(400, 912)(401, 913)(402, 914)(403, 915)(404, 916)(405, 917)(406, 918)(407, 919)(408, 920)(409, 921)(410, 922)(411, 923)(412, 924)(413, 925)(414, 926)(415, 927)(416, 928)(417, 929)(418, 930)(419, 931)(420, 932)(421, 933)(422, 934)(423, 935)(424, 936)(425, 937)(426, 938)(427, 939)(428, 940)(429, 941)(430, 942)(431, 943)(432, 944)(433, 945)(434, 946)(435, 947)(436, 948)(437, 949)(438, 950)(439, 951)(440, 952)(441, 953)(442, 954)(443, 955)(444, 956)(445, 957)(446, 958)(447, 959)(448, 960)(449, 961)(450, 962)(451, 963)(452, 964)(453, 965)(454, 966)(455, 967)(456, 968)(457, 969)(458, 970)(459, 971)(460, 972)(461, 973)(462, 974)(463, 975)(464, 976)(465, 977)(466, 978)(467, 979)(468, 980)(469, 981)(470, 982)(471, 983)(472, 984)(473, 985)(474, 986)(475, 987)(476, 988)(477, 989)(478, 990)(479, 991)(480, 992)(481, 993)(482, 994)(483, 995)(484, 996)(485, 997)(486, 998)(487, 999)(488, 1000)(489, 1001)(490, 1002)(491, 1003)(492, 1004)(493, 1005)(494, 1006)(495, 1007)(496, 1008)(497, 1009)(498, 1010)(499, 1011)(500, 1012)(501, 1013)(502, 1014)(503, 1015)(504, 1016)(505, 1017)(506, 1018)(507, 1019)(508, 1020)(509, 1021)(510, 1022)(511, 1023)(512, 1024)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2300
Graph:: simple bipartite
	v = 320 e = 512 f = 160
	degree seq :: [ 2^256, 8^64 ]

E17.2302 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 14})
Quotient :: regular
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^14, (T2 * T1^-3)^4, T1^-4 * T2 * T1^7 * T2 * T1^-3, (T2 * T1^-3 * T2 * T1^4)^2, (T2 * T1^2 * T2 * T1^-2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 2, 5, 11, 21, 37, 63, 105, 104, 62, 36, 20, 10, 4)(3, 7, 15, 27, 47, 79, 131, 172, 151, 91, 54, 31, 17, 8)(6, 13, 25, 43, 73, 121, 197, 171, 212, 130, 78, 46, 26, 14)(9, 18, 32, 55, 92, 152, 174, 106, 173, 143, 86, 51, 29, 16)(12, 23, 41, 69, 115, 187, 169, 103, 170, 196, 120, 72, 42, 24)(19, 34, 58, 97, 160, 176, 108, 64, 107, 175, 159, 96, 57, 33)(22, 39, 67, 111, 181, 167, 101, 61, 102, 168, 186, 114, 68, 40)(28, 49, 83, 137, 220, 296, 235, 150, 236, 299, 223, 140, 84, 50)(30, 52, 87, 144, 228, 292, 211, 132, 213, 284, 204, 125, 75, 44)(35, 60, 100, 165, 180, 110, 66, 38, 65, 109, 177, 164, 99, 59)(45, 76, 126, 205, 285, 328, 276, 198, 277, 324, 269, 191, 117, 70)(48, 81, 135, 216, 295, 233, 148, 90, 149, 234, 258, 219, 136, 82)(53, 89, 147, 231, 264, 215, 134, 80, 133, 214, 260, 182, 146, 88)(56, 94, 156, 203, 282, 319, 302, 227, 254, 314, 303, 242, 157, 95)(71, 118, 192, 270, 325, 294, 252, 265, 320, 306, 230, 145, 183, 112)(74, 123, 201, 158, 243, 290, 209, 129, 210, 291, 245, 281, 202, 124)(77, 128, 208, 288, 249, 279, 200, 122, 199, 278, 315, 255, 207, 127)(85, 141, 224, 274, 195, 275, 238, 153, 237, 268, 190, 116, 189, 138)(93, 154, 239, 259, 317, 301, 225, 142, 226, 262, 185, 263, 240, 155)(98, 162, 217, 139, 221, 271, 313, 253, 179, 257, 316, 311, 248, 163)(113, 184, 261, 318, 312, 251, 166, 250, 309, 241, 287, 206, 256, 178)(119, 194, 273, 247, 161, 246, 267, 188, 266, 321, 310, 244, 272, 193)(218, 289, 332, 336, 322, 308, 232, 307, 329, 280, 327, 300, 333, 293)(222, 286, 331, 305, 229, 304, 334, 297, 323, 335, 330, 283, 326, 298)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 138)(84, 139)(86, 142)(87, 145)(89, 148)(91, 150)(92, 153)(95, 154)(96, 158)(97, 161)(99, 162)(100, 166)(102, 169)(104, 171)(105, 172)(108, 173)(109, 178)(110, 179)(111, 182)(114, 185)(115, 188)(117, 189)(118, 193)(120, 195)(121, 198)(124, 199)(125, 203)(126, 206)(128, 209)(130, 211)(131, 212)(134, 213)(135, 217)(136, 218)(137, 191)(140, 222)(141, 225)(143, 227)(144, 229)(146, 183)(147, 232)(149, 235)(151, 174)(152, 236)(155, 237)(156, 201)(157, 241)(159, 244)(160, 245)(163, 246)(164, 216)(165, 249)(167, 250)(168, 252)(170, 197)(175, 253)(176, 254)(177, 255)(180, 258)(181, 259)(184, 262)(186, 264)(187, 265)(190, 266)(192, 271)(194, 274)(196, 276)(200, 277)(202, 280)(204, 283)(205, 286)(207, 256)(208, 289)(210, 292)(214, 293)(215, 294)(219, 288)(220, 297)(221, 298)(223, 285)(224, 300)(226, 302)(228, 303)(230, 304)(231, 263)(233, 307)(234, 257)(238, 299)(239, 309)(240, 308)(242, 305)(243, 310)(247, 281)(248, 306)(251, 279)(260, 317)(261, 319)(267, 320)(268, 322)(269, 323)(270, 326)(272, 313)(273, 327)(275, 328)(278, 329)(282, 330)(284, 325)(287, 331)(290, 332)(291, 314)(295, 315)(296, 316)(301, 333)(311, 334)(312, 324)(318, 335)(321, 336)
	local type(s) :: { ( 3^14 ) }
Outer automorphisms :: reflexible
Dual of E17.2303
Transitivity :: ET+ VT+ AT+ REG+
Graph::
	v = 24 e = 168 f = 112
	degree seq :: [ 14^24 ]

E17.2303 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 14})
Quotient :: regular
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2 * T1^-1)^4, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1)^3, (T1^-1 * T2)^14 ]
Map:: polytopal non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 80)(62, 88, 89)(63, 90, 91)(64, 92, 93)(65, 94, 95)(66, 96, 97)(75, 105, 106)(76, 107, 108)(77, 109, 102)(78, 110, 111)(79, 112, 113)(81, 114, 115)(82, 116, 117)(98, 132, 133)(99, 134, 135)(100, 136, 137)(101, 138, 139)(103, 140, 141)(104, 142, 143)(118, 157, 158)(119, 159, 160)(120, 161, 129)(121, 162, 163)(122, 164, 165)(123, 166, 167)(124, 168, 169)(125, 170, 171)(126, 172, 173)(127, 174, 175)(128, 176, 177)(130, 178, 179)(131, 180, 181)(144, 194, 195)(145, 196, 197)(146, 198, 154)(147, 199, 200)(148, 201, 202)(149, 203, 204)(150, 205, 206)(151, 207, 208)(152, 209, 210)(153, 211, 212)(155, 213, 214)(156, 215, 216)(182, 242, 243)(183, 244, 245)(184, 246, 191)(185, 247, 248)(186, 249, 250)(187, 251, 252)(188, 253, 254)(189, 255, 256)(190, 257, 258)(192, 259, 260)(193, 261, 262)(217, 286, 285)(218, 287, 288)(219, 271, 227)(220, 282, 289)(221, 290, 267)(222, 272, 291)(223, 280, 292)(224, 293, 294)(225, 295, 296)(226, 274, 297)(228, 268, 298)(229, 299, 264)(230, 300, 301)(231, 279, 302)(232, 270, 239)(233, 281, 303)(234, 283, 278)(235, 273, 265)(236, 304, 305)(237, 277, 306)(238, 307, 308)(240, 309, 276)(241, 310, 311)(263, 317, 316)(266, 315, 318)(269, 314, 319)(275, 320, 312)(284, 321, 313)(322, 332, 331)(323, 330, 334)(324, 329, 333)(325, 335, 327)(326, 336, 328)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 98)(68, 99)(69, 92)(70, 100)(71, 101)(72, 102)(73, 103)(74, 104)(83, 118)(84, 119)(85, 120)(86, 121)(87, 122)(88, 123)(89, 124)(90, 125)(91, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)(181, 241)(194, 263)(195, 264)(196, 265)(197, 266)(198, 267)(199, 268)(200, 269)(201, 270)(202, 271)(203, 272)(204, 273)(205, 274)(206, 275)(207, 276)(208, 277)(209, 278)(210, 279)(211, 280)(212, 281)(213, 282)(214, 283)(215, 284)(216, 285)(242, 310)(243, 312)(244, 296)(245, 308)(246, 290)(247, 297)(248, 305)(249, 298)(250, 295)(251, 291)(252, 287)(253, 313)(254, 303)(255, 294)(256, 306)(257, 314)(258, 302)(259, 315)(260, 293)(261, 300)(262, 316)(286, 322)(288, 323)(289, 324)(292, 325)(299, 326)(301, 327)(304, 328)(307, 329)(309, 330)(311, 331)(317, 332)(318, 333)(319, 334)(320, 335)(321, 336)
	local type(s) :: { ( 14^3 ) }
Outer automorphisms :: reflexible
Dual of E17.2302
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 112 e = 168 f = 24
	degree seq :: [ 3^112 ]

E17.2304 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 14})
Quotient :: edge
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2^-1 * T1)^4, (T1 * T2^-1 * T1 * T2)^4, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^3, (T2^-1 * T1)^14 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 119, 120)(92, 121, 122)(93, 123, 102)(94, 124, 125)(95, 126, 127)(96, 128, 129)(97, 130, 131)(98, 132, 133)(99, 134, 135)(100, 136, 137)(101, 138, 139)(103, 140, 141)(104, 142, 143)(105, 144, 145)(106, 146, 147)(107, 148, 116)(108, 149, 150)(109, 151, 152)(110, 153, 154)(111, 155, 156)(112, 157, 158)(113, 159, 160)(114, 161, 162)(115, 163, 164)(117, 165, 166)(118, 167, 168)(169, 219, 220)(170, 221, 222)(171, 223, 179)(172, 224, 225)(173, 226, 227)(174, 228, 229)(175, 230, 231)(176, 232, 233)(177, 234, 235)(178, 236, 237)(180, 238, 239)(181, 240, 241)(182, 242, 243)(183, 244, 245)(184, 246, 191)(185, 247, 248)(186, 249, 250)(187, 251, 252)(188, 253, 254)(189, 255, 256)(190, 257, 258)(192, 259, 260)(193, 261, 262)(194, 263, 264)(195, 265, 266)(196, 267, 204)(197, 268, 269)(198, 270, 271)(199, 272, 273)(200, 274, 275)(201, 276, 277)(202, 278, 279)(203, 280, 281)(205, 282, 283)(206, 284, 285)(207, 286, 287)(208, 288, 289)(209, 290, 216)(210, 291, 292)(211, 293, 294)(212, 295, 296)(213, 297, 298)(214, 299, 300)(215, 301, 302)(217, 303, 304)(218, 305, 306)(307, 327, 316)(308, 315, 328)(309, 314, 329)(310, 330, 312)(311, 331, 313)(317, 332, 326)(318, 325, 333)(319, 324, 334)(320, 335, 322)(321, 336, 323)(337, 338)(339, 343)(340, 344)(341, 345)(342, 346)(347, 355)(348, 356)(349, 357)(350, 358)(351, 359)(352, 360)(353, 361)(354, 362)(363, 379)(364, 380)(365, 381)(366, 382)(367, 383)(368, 384)(369, 385)(370, 386)(371, 387)(372, 388)(373, 389)(374, 390)(375, 391)(376, 392)(377, 393)(378, 394)(395, 427)(396, 428)(397, 429)(398, 430)(399, 431)(400, 416)(401, 432)(402, 433)(403, 434)(404, 435)(405, 421)(406, 436)(407, 437)(408, 438)(409, 439)(410, 440)(411, 441)(412, 442)(413, 443)(414, 444)(415, 445)(417, 446)(418, 447)(419, 448)(420, 449)(422, 450)(423, 451)(424, 452)(425, 453)(426, 454)(455, 505)(456, 506)(457, 507)(458, 508)(459, 509)(460, 510)(461, 511)(462, 512)(463, 513)(464, 514)(465, 515)(466, 516)(467, 517)(468, 518)(469, 519)(470, 520)(471, 521)(472, 522)(473, 523)(474, 524)(475, 525)(476, 526)(477, 527)(478, 528)(479, 529)(480, 530)(481, 531)(482, 532)(483, 533)(484, 534)(485, 535)(486, 536)(487, 537)(488, 538)(489, 539)(490, 540)(491, 541)(492, 542)(493, 543)(494, 544)(495, 545)(496, 546)(497, 547)(498, 548)(499, 549)(500, 550)(501, 551)(502, 552)(503, 553)(504, 554)(555, 643)(556, 621)(557, 632)(558, 644)(559, 607)(560, 618)(561, 645)(562, 626)(563, 603)(564, 608)(565, 631)(566, 616)(567, 646)(568, 640)(569, 635)(570, 630)(571, 624)(572, 610)(573, 627)(574, 604)(575, 629)(576, 647)(577, 600)(578, 641)(579, 648)(580, 615)(581, 638)(582, 606)(583, 617)(584, 634)(585, 619)(586, 614)(587, 609)(588, 601)(589, 649)(590, 628)(591, 613)(592, 636)(593, 650)(594, 625)(595, 651)(596, 612)(597, 622)(598, 652)(599, 653)(602, 654)(605, 655)(611, 656)(620, 657)(623, 658)(633, 659)(637, 660)(639, 661)(642, 662)(663, 668)(664, 670)(665, 669)(666, 671)(667, 672)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 28, 28 ), ( 28^3 ) }
Outer automorphisms :: reflexible
Dual of E17.2308
Transitivity :: ET+
Graph:: simple bipartite
	v = 280 e = 336 f = 24
	degree seq :: [ 2^168, 3^112 ]

E17.2305 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 14})
Quotient :: edge
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^4, (T2^4 * T1^-1 * T2^2)^2, T2^14, T2^-1 * T1 * T2^3 * T1^-1 * T2^3 * T1 * T2^-3 * T1 * T2^-2 ]
Map:: polytopal non-degenerate
	R = (1, 3, 9, 19, 37, 67, 117, 194, 147, 86, 48, 26, 13, 5)(2, 6, 14, 27, 50, 89, 152, 239, 171, 102, 58, 32, 16, 7)(4, 11, 22, 41, 74, 128, 209, 270, 180, 108, 62, 34, 17, 8)(10, 21, 40, 71, 123, 202, 146, 231, 210, 185, 112, 64, 35, 18)(12, 23, 43, 77, 133, 216, 170, 193, 118, 195, 138, 80, 44, 24)(15, 29, 53, 93, 158, 247, 179, 238, 153, 240, 162, 96, 54, 30)(20, 39, 70, 121, 198, 145, 85, 144, 230, 281, 189, 114, 65, 36)(25, 45, 81, 139, 224, 286, 192, 116, 68, 119, 196, 141, 82, 46)(28, 52, 92, 156, 243, 169, 101, 168, 260, 313, 234, 149, 87, 49)(31, 55, 97, 163, 255, 318, 237, 151, 90, 154, 241, 165, 98, 56)(33, 59, 103, 172, 262, 328, 277, 208, 129, 211, 264, 174, 104, 60)(38, 69, 120, 197, 143, 84, 47, 83, 142, 228, 284, 191, 115, 66)(42, 76, 131, 213, 269, 178, 107, 177, 268, 332, 298, 206, 126, 73)(51, 91, 155, 242, 167, 100, 57, 99, 166, 258, 316, 236, 150, 88)(61, 105, 175, 265, 330, 300, 207, 127, 75, 130, 212, 267, 176, 106)(63, 109, 181, 271, 253, 317, 335, 293, 203, 294, 245, 157, 94, 110)(72, 125, 79, 136, 219, 276, 184, 275, 334, 304, 217, 291, 200, 122)(78, 135, 95, 160, 250, 306, 222, 285, 336, 324, 248, 302, 214, 132)(111, 182, 273, 297, 308, 225, 292, 201, 124, 204, 295, 227, 274, 183)(113, 186, 278, 325, 329, 299, 309, 229, 288, 301, 327, 261, 173, 187)(134, 218, 287, 199, 289, 221, 137, 220, 280, 188, 279, 256, 303, 215)(140, 226, 148, 232, 310, 272, 283, 190, 282, 259, 320, 322, 307, 223)(159, 249, 319, 244, 321, 252, 161, 251, 312, 233, 311, 263, 323, 246)(164, 257, 205, 296, 333, 305, 315, 235, 314, 266, 331, 290, 326, 254)(337, 338, 340)(339, 344, 346)(341, 348, 342)(343, 351, 347)(345, 354, 356)(349, 361, 359)(350, 360, 364)(352, 367, 365)(353, 369, 357)(355, 372, 374)(358, 366, 378)(362, 383, 381)(363, 385, 387)(368, 393, 391)(370, 397, 395)(371, 399, 375)(373, 402, 404)(376, 396, 408)(377, 409, 411)(379, 382, 414)(380, 415, 388)(384, 421, 419)(386, 424, 426)(389, 392, 430)(390, 431, 412)(394, 437, 435)(398, 443, 441)(400, 447, 445)(401, 449, 405)(403, 452, 454)(406, 446, 434)(407, 458, 460)(410, 463, 465)(413, 468, 470)(416, 473, 472)(417, 420, 476)(418, 467, 471)(422, 482, 480)(423, 484, 427)(425, 487, 489)(428, 461, 440)(429, 493, 495)(432, 497, 496)(433, 436, 500)(438, 506, 504)(439, 442, 509)(444, 515, 513)(448, 520, 518)(450, 524, 522)(451, 526, 455)(453, 529, 507)(456, 523, 512)(457, 501, 535)(459, 537, 539)(462, 541, 466)(464, 544, 546)(469, 551, 553)(474, 558, 556)(475, 559, 561)(477, 563, 549)(478, 481, 565)(479, 491, 562)(483, 545, 567)(485, 569, 568)(486, 571, 490)(488, 574, 516)(492, 510, 580)(494, 582, 584)(498, 589, 587)(499, 590, 592)(502, 505, 595)(503, 548, 593)(508, 597, 599)(511, 514, 602)(517, 519, 608)(521, 613, 611)(525, 591, 615)(527, 594, 618)(528, 621, 531)(530, 575, 606)(532, 619, 610)(533, 603, 578)(534, 623, 624)(536, 626, 540)(538, 629, 566)(542, 633, 632)(543, 635, 547)(550, 637, 554)(552, 640, 596)(555, 557, 641)(560, 644, 634)(564, 645, 636)(570, 598, 647)(572, 601, 650)(573, 653, 576)(577, 651, 625)(579, 655, 656)(581, 658, 585)(583, 660, 604)(586, 588, 661)(600, 665, 657)(605, 631, 667)(607, 646, 648)(609, 612, 669)(614, 616, 642)(617, 671, 654)(620, 666, 652)(622, 668, 672)(627, 639, 662)(628, 643, 630)(638, 659, 663)(649, 670, 664)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 4^3 ), ( 4^14 ) }
Outer automorphisms :: reflexible
Dual of E17.2309
Transitivity :: ET+
Graph:: simple bipartite
	v = 136 e = 336 f = 168
	degree seq :: [ 3^112, 14^24 ]

E17.2306 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 14})
Quotient :: edge
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^14, T1^-4 * T2 * T1^7 * T2 * T1^-3, (T2 * T1^-3)^4, (T2 * T1^-3 * T2 * T1^4)^2, (T2 * T1^2 * T2 * T1^-2)^3 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 38)(24, 39)(25, 44)(26, 45)(27, 48)(29, 49)(31, 53)(32, 56)(34, 59)(36, 61)(37, 64)(40, 65)(41, 70)(42, 71)(43, 74)(46, 77)(47, 80)(50, 81)(51, 85)(52, 88)(54, 90)(55, 93)(57, 94)(58, 98)(60, 101)(62, 103)(63, 106)(66, 107)(67, 112)(68, 113)(69, 116)(72, 119)(73, 122)(75, 123)(76, 127)(78, 129)(79, 132)(82, 133)(83, 138)(84, 139)(86, 142)(87, 145)(89, 148)(91, 150)(92, 153)(95, 154)(96, 158)(97, 161)(99, 162)(100, 166)(102, 169)(104, 171)(105, 172)(108, 173)(109, 178)(110, 179)(111, 182)(114, 185)(115, 188)(117, 189)(118, 193)(120, 195)(121, 198)(124, 199)(125, 203)(126, 206)(128, 209)(130, 211)(131, 212)(134, 213)(135, 217)(136, 218)(137, 191)(140, 222)(141, 225)(143, 227)(144, 229)(146, 183)(147, 232)(149, 235)(151, 174)(152, 236)(155, 237)(156, 201)(157, 241)(159, 244)(160, 245)(163, 246)(164, 216)(165, 249)(167, 250)(168, 252)(170, 197)(175, 253)(176, 254)(177, 255)(180, 258)(181, 259)(184, 262)(186, 264)(187, 265)(190, 266)(192, 271)(194, 274)(196, 276)(200, 277)(202, 280)(204, 283)(205, 286)(207, 256)(208, 289)(210, 292)(214, 293)(215, 294)(219, 288)(220, 297)(221, 298)(223, 285)(224, 300)(226, 302)(228, 303)(230, 304)(231, 263)(233, 307)(234, 257)(238, 299)(239, 309)(240, 308)(242, 305)(243, 310)(247, 281)(248, 306)(251, 279)(260, 317)(261, 319)(267, 320)(268, 322)(269, 323)(270, 326)(272, 313)(273, 327)(275, 328)(278, 329)(282, 330)(284, 325)(287, 331)(290, 332)(291, 314)(295, 315)(296, 316)(301, 333)(311, 334)(312, 324)(318, 335)(321, 336)(337, 338, 341, 347, 357, 373, 399, 441, 440, 398, 372, 356, 346, 340)(339, 343, 351, 363, 383, 415, 467, 508, 487, 427, 390, 367, 353, 344)(342, 349, 361, 379, 409, 457, 533, 507, 548, 466, 414, 382, 362, 350)(345, 354, 368, 391, 428, 488, 510, 442, 509, 479, 422, 387, 365, 352)(348, 359, 377, 405, 451, 523, 505, 439, 506, 532, 456, 408, 378, 360)(355, 370, 394, 433, 496, 512, 444, 400, 443, 511, 495, 432, 393, 369)(358, 375, 403, 447, 517, 503, 437, 397, 438, 504, 522, 450, 404, 376)(364, 385, 419, 473, 556, 632, 571, 486, 572, 635, 559, 476, 420, 386)(366, 388, 423, 480, 564, 628, 547, 468, 549, 620, 540, 461, 411, 380)(371, 396, 436, 501, 516, 446, 402, 374, 401, 445, 513, 500, 435, 395)(381, 412, 462, 541, 621, 664, 612, 534, 613, 660, 605, 527, 453, 406)(384, 417, 471, 552, 631, 569, 484, 426, 485, 570, 594, 555, 472, 418)(389, 425, 483, 567, 600, 551, 470, 416, 469, 550, 596, 518, 482, 424)(392, 430, 492, 539, 618, 655, 638, 563, 590, 650, 639, 578, 493, 431)(407, 454, 528, 606, 661, 630, 588, 601, 656, 642, 566, 481, 519, 448)(410, 459, 537, 494, 579, 626, 545, 465, 546, 627, 581, 617, 538, 460)(413, 464, 544, 624, 585, 615, 536, 458, 535, 614, 651, 591, 543, 463)(421, 477, 560, 610, 531, 611, 574, 489, 573, 604, 526, 452, 525, 474)(429, 490, 575, 595, 653, 637, 561, 478, 562, 598, 521, 599, 576, 491)(434, 498, 553, 475, 557, 607, 649, 589, 515, 593, 652, 647, 584, 499)(449, 520, 597, 654, 648, 587, 502, 586, 645, 577, 623, 542, 592, 514)(455, 530, 609, 583, 497, 582, 603, 524, 602, 657, 646, 580, 608, 529)(554, 625, 668, 672, 658, 644, 568, 643, 665, 616, 663, 636, 669, 629)(558, 622, 667, 641, 565, 640, 670, 633, 659, 671, 666, 619, 662, 634)
	L = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)
	local type(s) :: { ( 6, 6 ), ( 6^14 ) }
Outer automorphisms :: reflexible
Dual of E17.2307
Transitivity :: ET+
Graph:: simple bipartite
	v = 192 e = 336 f = 112
	degree seq :: [ 2^168, 14^24 ]

E17.2307 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 14})
Quotient :: loop
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2 * T1 * T2^-1 * T1)^4, (T1 * T2^-1 * T1 * T2)^4, (T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1)^2, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1)^3, (T2^-1 * T1)^14 ]
Map::
	R = (1, 337, 3, 339, 4, 340)(2, 338, 5, 341, 6, 342)(7, 343, 11, 347, 12, 348)(8, 344, 13, 349, 14, 350)(9, 345, 15, 351, 16, 352)(10, 346, 17, 353, 18, 354)(19, 355, 27, 363, 28, 364)(20, 356, 29, 365, 30, 366)(21, 357, 31, 367, 32, 368)(22, 358, 33, 369, 34, 370)(23, 359, 35, 371, 36, 372)(24, 360, 37, 373, 38, 374)(25, 361, 39, 375, 40, 376)(26, 362, 41, 377, 42, 378)(43, 379, 59, 395, 60, 396)(44, 380, 61, 397, 62, 398)(45, 381, 63, 399, 64, 400)(46, 382, 65, 401, 66, 402)(47, 383, 67, 403, 68, 404)(48, 384, 69, 405, 70, 406)(49, 385, 71, 407, 72, 408)(50, 386, 73, 409, 74, 410)(51, 387, 75, 411, 76, 412)(52, 388, 77, 413, 78, 414)(53, 389, 79, 415, 80, 416)(54, 390, 81, 417, 82, 418)(55, 391, 83, 419, 84, 420)(56, 392, 85, 421, 86, 422)(57, 393, 87, 423, 88, 424)(58, 394, 89, 425, 90, 426)(91, 427, 119, 455, 120, 456)(92, 428, 121, 457, 122, 458)(93, 429, 123, 459, 102, 438)(94, 430, 124, 460, 125, 461)(95, 431, 126, 462, 127, 463)(96, 432, 128, 464, 129, 465)(97, 433, 130, 466, 131, 467)(98, 434, 132, 468, 133, 469)(99, 435, 134, 470, 135, 471)(100, 436, 136, 472, 137, 473)(101, 437, 138, 474, 139, 475)(103, 439, 140, 476, 141, 477)(104, 440, 142, 478, 143, 479)(105, 441, 144, 480, 145, 481)(106, 442, 146, 482, 147, 483)(107, 443, 148, 484, 116, 452)(108, 444, 149, 485, 150, 486)(109, 445, 151, 487, 152, 488)(110, 446, 153, 489, 154, 490)(111, 447, 155, 491, 156, 492)(112, 448, 157, 493, 158, 494)(113, 449, 159, 495, 160, 496)(114, 450, 161, 497, 162, 498)(115, 451, 163, 499, 164, 500)(117, 453, 165, 501, 166, 502)(118, 454, 167, 503, 168, 504)(169, 505, 219, 555, 220, 556)(170, 506, 221, 557, 222, 558)(171, 507, 223, 559, 179, 515)(172, 508, 224, 560, 225, 561)(173, 509, 226, 562, 227, 563)(174, 510, 228, 564, 229, 565)(175, 511, 230, 566, 231, 567)(176, 512, 232, 568, 233, 569)(177, 513, 234, 570, 235, 571)(178, 514, 236, 572, 237, 573)(180, 516, 238, 574, 239, 575)(181, 517, 240, 576, 241, 577)(182, 518, 242, 578, 243, 579)(183, 519, 244, 580, 245, 581)(184, 520, 246, 582, 191, 527)(185, 521, 247, 583, 248, 584)(186, 522, 249, 585, 250, 586)(187, 523, 251, 587, 252, 588)(188, 524, 253, 589, 254, 590)(189, 525, 255, 591, 256, 592)(190, 526, 257, 593, 258, 594)(192, 528, 259, 595, 260, 596)(193, 529, 261, 597, 262, 598)(194, 530, 263, 599, 264, 600)(195, 531, 265, 601, 266, 602)(196, 532, 267, 603, 204, 540)(197, 533, 268, 604, 269, 605)(198, 534, 270, 606, 271, 607)(199, 535, 272, 608, 273, 609)(200, 536, 274, 610, 275, 611)(201, 537, 276, 612, 277, 613)(202, 538, 278, 614, 279, 615)(203, 539, 280, 616, 281, 617)(205, 541, 282, 618, 283, 619)(206, 542, 284, 620, 285, 621)(207, 543, 286, 622, 287, 623)(208, 544, 288, 624, 289, 625)(209, 545, 290, 626, 216, 552)(210, 546, 291, 627, 292, 628)(211, 547, 293, 629, 294, 630)(212, 548, 295, 631, 296, 632)(213, 549, 297, 633, 298, 634)(214, 550, 299, 635, 300, 636)(215, 551, 301, 637, 302, 638)(217, 553, 303, 639, 304, 640)(218, 554, 305, 641, 306, 642)(307, 643, 327, 663, 316, 652)(308, 644, 315, 651, 328, 664)(309, 645, 314, 650, 329, 665)(310, 646, 330, 666, 312, 648)(311, 647, 331, 667, 313, 649)(317, 653, 332, 668, 326, 662)(318, 654, 325, 661, 333, 669)(319, 655, 324, 660, 334, 670)(320, 656, 335, 671, 322, 658)(321, 657, 336, 672, 323, 659)
	L = (1, 338)(2, 337)(3, 343)(4, 344)(5, 345)(6, 346)(7, 339)(8, 340)(9, 341)(10, 342)(11, 355)(12, 356)(13, 357)(14, 358)(15, 359)(16, 360)(17, 361)(18, 362)(19, 347)(20, 348)(21, 349)(22, 350)(23, 351)(24, 352)(25, 353)(26, 354)(27, 379)(28, 380)(29, 381)(30, 382)(31, 383)(32, 384)(33, 385)(34, 386)(35, 387)(36, 388)(37, 389)(38, 390)(39, 391)(40, 392)(41, 393)(42, 394)(43, 363)(44, 364)(45, 365)(46, 366)(47, 367)(48, 368)(49, 369)(50, 370)(51, 371)(52, 372)(53, 373)(54, 374)(55, 375)(56, 376)(57, 377)(58, 378)(59, 427)(60, 428)(61, 429)(62, 430)(63, 431)(64, 416)(65, 432)(66, 433)(67, 434)(68, 435)(69, 421)(70, 436)(71, 437)(72, 438)(73, 439)(74, 440)(75, 441)(76, 442)(77, 443)(78, 444)(79, 445)(80, 400)(81, 446)(82, 447)(83, 448)(84, 449)(85, 405)(86, 450)(87, 451)(88, 452)(89, 453)(90, 454)(91, 395)(92, 396)(93, 397)(94, 398)(95, 399)(96, 401)(97, 402)(98, 403)(99, 404)(100, 406)(101, 407)(102, 408)(103, 409)(104, 410)(105, 411)(106, 412)(107, 413)(108, 414)(109, 415)(110, 417)(111, 418)(112, 419)(113, 420)(114, 422)(115, 423)(116, 424)(117, 425)(118, 426)(119, 505)(120, 506)(121, 507)(122, 508)(123, 509)(124, 510)(125, 511)(126, 512)(127, 513)(128, 514)(129, 515)(130, 516)(131, 517)(132, 518)(133, 519)(134, 520)(135, 521)(136, 522)(137, 523)(138, 524)(139, 525)(140, 526)(141, 527)(142, 528)(143, 529)(144, 530)(145, 531)(146, 532)(147, 533)(148, 534)(149, 535)(150, 536)(151, 537)(152, 538)(153, 539)(154, 540)(155, 541)(156, 542)(157, 543)(158, 544)(159, 545)(160, 546)(161, 547)(162, 548)(163, 549)(164, 550)(165, 551)(166, 552)(167, 553)(168, 554)(169, 455)(170, 456)(171, 457)(172, 458)(173, 459)(174, 460)(175, 461)(176, 462)(177, 463)(178, 464)(179, 465)(180, 466)(181, 467)(182, 468)(183, 469)(184, 470)(185, 471)(186, 472)(187, 473)(188, 474)(189, 475)(190, 476)(191, 477)(192, 478)(193, 479)(194, 480)(195, 481)(196, 482)(197, 483)(198, 484)(199, 485)(200, 486)(201, 487)(202, 488)(203, 489)(204, 490)(205, 491)(206, 492)(207, 493)(208, 494)(209, 495)(210, 496)(211, 497)(212, 498)(213, 499)(214, 500)(215, 501)(216, 502)(217, 503)(218, 504)(219, 643)(220, 621)(221, 632)(222, 644)(223, 607)(224, 618)(225, 645)(226, 626)(227, 603)(228, 608)(229, 631)(230, 616)(231, 646)(232, 640)(233, 635)(234, 630)(235, 624)(236, 610)(237, 627)(238, 604)(239, 629)(240, 647)(241, 600)(242, 641)(243, 648)(244, 615)(245, 638)(246, 606)(247, 617)(248, 634)(249, 619)(250, 614)(251, 609)(252, 601)(253, 649)(254, 628)(255, 613)(256, 636)(257, 650)(258, 625)(259, 651)(260, 612)(261, 622)(262, 652)(263, 653)(264, 577)(265, 588)(266, 654)(267, 563)(268, 574)(269, 655)(270, 582)(271, 559)(272, 564)(273, 587)(274, 572)(275, 656)(276, 596)(277, 591)(278, 586)(279, 580)(280, 566)(281, 583)(282, 560)(283, 585)(284, 657)(285, 556)(286, 597)(287, 658)(288, 571)(289, 594)(290, 562)(291, 573)(292, 590)(293, 575)(294, 570)(295, 565)(296, 557)(297, 659)(298, 584)(299, 569)(300, 592)(301, 660)(302, 581)(303, 661)(304, 568)(305, 578)(306, 662)(307, 555)(308, 558)(309, 561)(310, 567)(311, 576)(312, 579)(313, 589)(314, 593)(315, 595)(316, 598)(317, 599)(318, 602)(319, 605)(320, 611)(321, 620)(322, 623)(323, 633)(324, 637)(325, 639)(326, 642)(327, 668)(328, 670)(329, 669)(330, 671)(331, 672)(332, 663)(333, 665)(334, 664)(335, 666)(336, 667)
	local type(s) :: { ( 2, 14, 2, 14, 2, 14 ) }
Outer automorphisms :: reflexible
Dual of E17.2306
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 112 e = 336 f = 192
	degree seq :: [ 6^112 ]

E17.2308 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 14})
Quotient :: loop
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ F^2, T1^3, (T1 * T2)^2, (F * T2)^2, (F * T1)^2, (T2^2 * T1^-1)^4, (T2^4 * T1^-1 * T2^2)^2, T2^14, T2^-1 * T1 * T2^3 * T1^-1 * T2^3 * T1 * T2^-3 * T1 * T2^-2 ]
Map::
	R = (1, 337, 3, 339, 9, 345, 19, 355, 37, 373, 67, 403, 117, 453, 194, 530, 147, 483, 86, 422, 48, 384, 26, 362, 13, 349, 5, 341)(2, 338, 6, 342, 14, 350, 27, 363, 50, 386, 89, 425, 152, 488, 239, 575, 171, 507, 102, 438, 58, 394, 32, 368, 16, 352, 7, 343)(4, 340, 11, 347, 22, 358, 41, 377, 74, 410, 128, 464, 209, 545, 270, 606, 180, 516, 108, 444, 62, 398, 34, 370, 17, 353, 8, 344)(10, 346, 21, 357, 40, 376, 71, 407, 123, 459, 202, 538, 146, 482, 231, 567, 210, 546, 185, 521, 112, 448, 64, 400, 35, 371, 18, 354)(12, 348, 23, 359, 43, 379, 77, 413, 133, 469, 216, 552, 170, 506, 193, 529, 118, 454, 195, 531, 138, 474, 80, 416, 44, 380, 24, 360)(15, 351, 29, 365, 53, 389, 93, 429, 158, 494, 247, 583, 179, 515, 238, 574, 153, 489, 240, 576, 162, 498, 96, 432, 54, 390, 30, 366)(20, 356, 39, 375, 70, 406, 121, 457, 198, 534, 145, 481, 85, 421, 144, 480, 230, 566, 281, 617, 189, 525, 114, 450, 65, 401, 36, 372)(25, 361, 45, 381, 81, 417, 139, 475, 224, 560, 286, 622, 192, 528, 116, 452, 68, 404, 119, 455, 196, 532, 141, 477, 82, 418, 46, 382)(28, 364, 52, 388, 92, 428, 156, 492, 243, 579, 169, 505, 101, 437, 168, 504, 260, 596, 313, 649, 234, 570, 149, 485, 87, 423, 49, 385)(31, 367, 55, 391, 97, 433, 163, 499, 255, 591, 318, 654, 237, 573, 151, 487, 90, 426, 154, 490, 241, 577, 165, 501, 98, 434, 56, 392)(33, 369, 59, 395, 103, 439, 172, 508, 262, 598, 328, 664, 277, 613, 208, 544, 129, 465, 211, 547, 264, 600, 174, 510, 104, 440, 60, 396)(38, 374, 69, 405, 120, 456, 197, 533, 143, 479, 84, 420, 47, 383, 83, 419, 142, 478, 228, 564, 284, 620, 191, 527, 115, 451, 66, 402)(42, 378, 76, 412, 131, 467, 213, 549, 269, 605, 178, 514, 107, 443, 177, 513, 268, 604, 332, 668, 298, 634, 206, 542, 126, 462, 73, 409)(51, 387, 91, 427, 155, 491, 242, 578, 167, 503, 100, 436, 57, 393, 99, 435, 166, 502, 258, 594, 316, 652, 236, 572, 150, 486, 88, 424)(61, 397, 105, 441, 175, 511, 265, 601, 330, 666, 300, 636, 207, 543, 127, 463, 75, 411, 130, 466, 212, 548, 267, 603, 176, 512, 106, 442)(63, 399, 109, 445, 181, 517, 271, 607, 253, 589, 317, 653, 335, 671, 293, 629, 203, 539, 294, 630, 245, 581, 157, 493, 94, 430, 110, 446)(72, 408, 125, 461, 79, 415, 136, 472, 219, 555, 276, 612, 184, 520, 275, 611, 334, 670, 304, 640, 217, 553, 291, 627, 200, 536, 122, 458)(78, 414, 135, 471, 95, 431, 160, 496, 250, 586, 306, 642, 222, 558, 285, 621, 336, 672, 324, 660, 248, 584, 302, 638, 214, 550, 132, 468)(111, 447, 182, 518, 273, 609, 297, 633, 308, 644, 225, 561, 292, 628, 201, 537, 124, 460, 204, 540, 295, 631, 227, 563, 274, 610, 183, 519)(113, 449, 186, 522, 278, 614, 325, 661, 329, 665, 299, 635, 309, 645, 229, 565, 288, 624, 301, 637, 327, 663, 261, 597, 173, 509, 187, 523)(134, 470, 218, 554, 287, 623, 199, 535, 289, 625, 221, 557, 137, 473, 220, 556, 280, 616, 188, 524, 279, 615, 256, 592, 303, 639, 215, 551)(140, 476, 226, 562, 148, 484, 232, 568, 310, 646, 272, 608, 283, 619, 190, 526, 282, 618, 259, 595, 320, 656, 322, 658, 307, 643, 223, 559)(159, 495, 249, 585, 319, 655, 244, 580, 321, 657, 252, 588, 161, 497, 251, 587, 312, 648, 233, 569, 311, 647, 263, 599, 323, 659, 246, 582)(164, 500, 257, 593, 205, 541, 296, 632, 333, 669, 305, 641, 315, 651, 235, 571, 314, 650, 266, 602, 331, 667, 290, 626, 326, 662, 254, 590)
	L = (1, 338)(2, 340)(3, 344)(4, 337)(5, 348)(6, 341)(7, 351)(8, 346)(9, 354)(10, 339)(11, 343)(12, 342)(13, 361)(14, 360)(15, 347)(16, 367)(17, 369)(18, 356)(19, 372)(20, 345)(21, 353)(22, 366)(23, 349)(24, 364)(25, 359)(26, 383)(27, 385)(28, 350)(29, 352)(30, 378)(31, 365)(32, 393)(33, 357)(34, 397)(35, 399)(36, 374)(37, 402)(38, 355)(39, 371)(40, 396)(41, 409)(42, 358)(43, 382)(44, 415)(45, 362)(46, 414)(47, 381)(48, 421)(49, 387)(50, 424)(51, 363)(52, 380)(53, 392)(54, 431)(55, 368)(56, 430)(57, 391)(58, 437)(59, 370)(60, 408)(61, 395)(62, 443)(63, 375)(64, 447)(65, 449)(66, 404)(67, 452)(68, 373)(69, 401)(70, 446)(71, 458)(72, 376)(73, 411)(74, 463)(75, 377)(76, 390)(77, 468)(78, 379)(79, 388)(80, 473)(81, 420)(82, 467)(83, 384)(84, 476)(85, 419)(86, 482)(87, 484)(88, 426)(89, 487)(90, 386)(91, 423)(92, 461)(93, 493)(94, 389)(95, 412)(96, 497)(97, 436)(98, 406)(99, 394)(100, 500)(101, 435)(102, 506)(103, 442)(104, 428)(105, 398)(106, 509)(107, 441)(108, 515)(109, 400)(110, 434)(111, 445)(112, 520)(113, 405)(114, 524)(115, 526)(116, 454)(117, 529)(118, 403)(119, 451)(120, 523)(121, 501)(122, 460)(123, 537)(124, 407)(125, 440)(126, 541)(127, 465)(128, 544)(129, 410)(130, 462)(131, 471)(132, 470)(133, 551)(134, 413)(135, 418)(136, 416)(137, 472)(138, 558)(139, 559)(140, 417)(141, 563)(142, 481)(143, 491)(144, 422)(145, 565)(146, 480)(147, 545)(148, 427)(149, 569)(150, 571)(151, 489)(152, 574)(153, 425)(154, 486)(155, 562)(156, 510)(157, 495)(158, 582)(159, 429)(160, 432)(161, 496)(162, 589)(163, 590)(164, 433)(165, 535)(166, 505)(167, 548)(168, 438)(169, 595)(170, 504)(171, 453)(172, 597)(173, 439)(174, 580)(175, 514)(176, 456)(177, 444)(178, 602)(179, 513)(180, 488)(181, 519)(182, 448)(183, 608)(184, 518)(185, 613)(186, 450)(187, 512)(188, 522)(189, 591)(190, 455)(191, 594)(192, 621)(193, 507)(194, 575)(195, 528)(196, 619)(197, 603)(198, 623)(199, 457)(200, 626)(201, 539)(202, 629)(203, 459)(204, 536)(205, 466)(206, 633)(207, 635)(208, 546)(209, 567)(210, 464)(211, 543)(212, 593)(213, 477)(214, 637)(215, 553)(216, 640)(217, 469)(218, 550)(219, 557)(220, 474)(221, 641)(222, 556)(223, 561)(224, 644)(225, 475)(226, 479)(227, 549)(228, 645)(229, 478)(230, 538)(231, 483)(232, 485)(233, 568)(234, 598)(235, 490)(236, 601)(237, 653)(238, 516)(239, 606)(240, 573)(241, 651)(242, 533)(243, 655)(244, 492)(245, 658)(246, 584)(247, 660)(248, 494)(249, 581)(250, 588)(251, 498)(252, 661)(253, 587)(254, 592)(255, 615)(256, 499)(257, 503)(258, 618)(259, 502)(260, 552)(261, 599)(262, 647)(263, 508)(264, 665)(265, 650)(266, 511)(267, 578)(268, 583)(269, 631)(270, 530)(271, 646)(272, 517)(273, 612)(274, 532)(275, 521)(276, 669)(277, 611)(278, 616)(279, 525)(280, 642)(281, 671)(282, 527)(283, 610)(284, 666)(285, 531)(286, 668)(287, 624)(288, 534)(289, 577)(290, 540)(291, 639)(292, 643)(293, 566)(294, 628)(295, 667)(296, 542)(297, 632)(298, 560)(299, 547)(300, 564)(301, 554)(302, 659)(303, 662)(304, 596)(305, 555)(306, 614)(307, 630)(308, 634)(309, 636)(310, 648)(311, 570)(312, 607)(313, 670)(314, 572)(315, 625)(316, 620)(317, 576)(318, 617)(319, 656)(320, 579)(321, 600)(322, 585)(323, 663)(324, 604)(325, 586)(326, 627)(327, 638)(328, 649)(329, 657)(330, 652)(331, 605)(332, 672)(333, 609)(334, 664)(335, 654)(336, 622)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E17.2304
Transitivity :: ET+ VT+ AT
Graph::
	v = 24 e = 336 f = 280
	degree seq :: [ 28^24 ]

E17.2309 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 14})
Quotient :: loop
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^14, T1^-4 * T2 * T1^7 * T2 * T1^-3, (T2 * T1^-3)^4, (T2 * T1^-3 * T2 * T1^4)^2, (T2 * T1^2 * T2 * T1^-2)^3 ]
Map:: polytopal non-degenerate
	R = (1, 337, 3, 339)(2, 338, 6, 342)(4, 340, 9, 345)(5, 341, 12, 348)(7, 343, 16, 352)(8, 344, 13, 349)(10, 346, 19, 355)(11, 347, 22, 358)(14, 350, 23, 359)(15, 351, 28, 364)(17, 353, 30, 366)(18, 354, 33, 369)(20, 356, 35, 371)(21, 357, 38, 374)(24, 360, 39, 375)(25, 361, 44, 380)(26, 362, 45, 381)(27, 363, 48, 384)(29, 365, 49, 385)(31, 367, 53, 389)(32, 368, 56, 392)(34, 370, 59, 395)(36, 372, 61, 397)(37, 373, 64, 400)(40, 376, 65, 401)(41, 377, 70, 406)(42, 378, 71, 407)(43, 379, 74, 410)(46, 382, 77, 413)(47, 383, 80, 416)(50, 386, 81, 417)(51, 387, 85, 421)(52, 388, 88, 424)(54, 390, 90, 426)(55, 391, 93, 429)(57, 393, 94, 430)(58, 394, 98, 434)(60, 396, 101, 437)(62, 398, 103, 439)(63, 399, 106, 442)(66, 402, 107, 443)(67, 403, 112, 448)(68, 404, 113, 449)(69, 405, 116, 452)(72, 408, 119, 455)(73, 409, 122, 458)(75, 411, 123, 459)(76, 412, 127, 463)(78, 414, 129, 465)(79, 415, 132, 468)(82, 418, 133, 469)(83, 419, 138, 474)(84, 420, 139, 475)(86, 422, 142, 478)(87, 423, 145, 481)(89, 425, 148, 484)(91, 427, 150, 486)(92, 428, 153, 489)(95, 431, 154, 490)(96, 432, 158, 494)(97, 433, 161, 497)(99, 435, 162, 498)(100, 436, 166, 502)(102, 438, 169, 505)(104, 440, 171, 507)(105, 441, 172, 508)(108, 444, 173, 509)(109, 445, 178, 514)(110, 446, 179, 515)(111, 447, 182, 518)(114, 450, 185, 521)(115, 451, 188, 524)(117, 453, 189, 525)(118, 454, 193, 529)(120, 456, 195, 531)(121, 457, 198, 534)(124, 460, 199, 535)(125, 461, 203, 539)(126, 462, 206, 542)(128, 464, 209, 545)(130, 466, 211, 547)(131, 467, 212, 548)(134, 470, 213, 549)(135, 471, 217, 553)(136, 472, 218, 554)(137, 473, 191, 527)(140, 476, 222, 558)(141, 477, 225, 561)(143, 479, 227, 563)(144, 480, 229, 565)(146, 482, 183, 519)(147, 483, 232, 568)(149, 485, 235, 571)(151, 487, 174, 510)(152, 488, 236, 572)(155, 491, 237, 573)(156, 492, 201, 537)(157, 493, 241, 577)(159, 495, 244, 580)(160, 496, 245, 581)(163, 499, 246, 582)(164, 500, 216, 552)(165, 501, 249, 585)(167, 503, 250, 586)(168, 504, 252, 588)(170, 506, 197, 533)(175, 511, 253, 589)(176, 512, 254, 590)(177, 513, 255, 591)(180, 516, 258, 594)(181, 517, 259, 595)(184, 520, 262, 598)(186, 522, 264, 600)(187, 523, 265, 601)(190, 526, 266, 602)(192, 528, 271, 607)(194, 530, 274, 610)(196, 532, 276, 612)(200, 536, 277, 613)(202, 538, 280, 616)(204, 540, 283, 619)(205, 541, 286, 622)(207, 543, 256, 592)(208, 544, 289, 625)(210, 546, 292, 628)(214, 550, 293, 629)(215, 551, 294, 630)(219, 555, 288, 624)(220, 556, 297, 633)(221, 557, 298, 634)(223, 559, 285, 621)(224, 560, 300, 636)(226, 562, 302, 638)(228, 564, 303, 639)(230, 566, 304, 640)(231, 567, 263, 599)(233, 569, 307, 643)(234, 570, 257, 593)(238, 574, 299, 635)(239, 575, 309, 645)(240, 576, 308, 644)(242, 578, 305, 641)(243, 579, 310, 646)(247, 583, 281, 617)(248, 584, 306, 642)(251, 587, 279, 615)(260, 596, 317, 653)(261, 597, 319, 655)(267, 603, 320, 656)(268, 604, 322, 658)(269, 605, 323, 659)(270, 606, 326, 662)(272, 608, 313, 649)(273, 609, 327, 663)(275, 611, 328, 664)(278, 614, 329, 665)(282, 618, 330, 666)(284, 620, 325, 661)(287, 623, 331, 667)(290, 626, 332, 668)(291, 627, 314, 650)(295, 631, 315, 651)(296, 632, 316, 652)(301, 637, 333, 669)(311, 647, 334, 670)(312, 648, 324, 660)(318, 654, 335, 671)(321, 657, 336, 672)
	L = (1, 338)(2, 341)(3, 343)(4, 337)(5, 347)(6, 349)(7, 351)(8, 339)(9, 354)(10, 340)(11, 357)(12, 359)(13, 361)(14, 342)(15, 363)(16, 345)(17, 344)(18, 368)(19, 370)(20, 346)(21, 373)(22, 375)(23, 377)(24, 348)(25, 379)(26, 350)(27, 383)(28, 385)(29, 352)(30, 388)(31, 353)(32, 391)(33, 355)(34, 394)(35, 396)(36, 356)(37, 399)(38, 401)(39, 403)(40, 358)(41, 405)(42, 360)(43, 409)(44, 366)(45, 412)(46, 362)(47, 415)(48, 417)(49, 419)(50, 364)(51, 365)(52, 423)(53, 425)(54, 367)(55, 428)(56, 430)(57, 369)(58, 433)(59, 371)(60, 436)(61, 438)(62, 372)(63, 441)(64, 443)(65, 445)(66, 374)(67, 447)(68, 376)(69, 451)(70, 381)(71, 454)(72, 378)(73, 457)(74, 459)(75, 380)(76, 462)(77, 464)(78, 382)(79, 467)(80, 469)(81, 471)(82, 384)(83, 473)(84, 386)(85, 477)(86, 387)(87, 480)(88, 389)(89, 483)(90, 485)(91, 390)(92, 488)(93, 490)(94, 492)(95, 392)(96, 393)(97, 496)(98, 498)(99, 395)(100, 501)(101, 397)(102, 504)(103, 506)(104, 398)(105, 440)(106, 509)(107, 511)(108, 400)(109, 513)(110, 402)(111, 517)(112, 407)(113, 520)(114, 404)(115, 523)(116, 525)(117, 406)(118, 528)(119, 530)(120, 408)(121, 533)(122, 535)(123, 537)(124, 410)(125, 411)(126, 541)(127, 413)(128, 544)(129, 546)(130, 414)(131, 508)(132, 549)(133, 550)(134, 416)(135, 552)(136, 418)(137, 556)(138, 421)(139, 557)(140, 420)(141, 560)(142, 562)(143, 422)(144, 564)(145, 519)(146, 424)(147, 567)(148, 426)(149, 570)(150, 572)(151, 427)(152, 510)(153, 573)(154, 575)(155, 429)(156, 539)(157, 431)(158, 579)(159, 432)(160, 512)(161, 582)(162, 553)(163, 434)(164, 435)(165, 516)(166, 586)(167, 437)(168, 522)(169, 439)(170, 532)(171, 548)(172, 487)(173, 479)(174, 442)(175, 495)(176, 444)(177, 500)(178, 449)(179, 593)(180, 446)(181, 503)(182, 482)(183, 448)(184, 597)(185, 599)(186, 450)(187, 505)(188, 602)(189, 474)(190, 452)(191, 453)(192, 606)(193, 455)(194, 609)(195, 611)(196, 456)(197, 507)(198, 613)(199, 614)(200, 458)(201, 494)(202, 460)(203, 618)(204, 461)(205, 621)(206, 592)(207, 463)(208, 624)(209, 465)(210, 627)(211, 468)(212, 466)(213, 620)(214, 596)(215, 470)(216, 631)(217, 475)(218, 625)(219, 472)(220, 632)(221, 607)(222, 622)(223, 476)(224, 610)(225, 478)(226, 598)(227, 590)(228, 628)(229, 640)(230, 481)(231, 600)(232, 643)(233, 484)(234, 594)(235, 486)(236, 635)(237, 604)(238, 489)(239, 595)(240, 491)(241, 623)(242, 493)(243, 626)(244, 608)(245, 617)(246, 603)(247, 497)(248, 499)(249, 615)(250, 645)(251, 502)(252, 601)(253, 515)(254, 650)(255, 543)(256, 514)(257, 652)(258, 555)(259, 653)(260, 518)(261, 654)(262, 521)(263, 576)(264, 551)(265, 656)(266, 657)(267, 524)(268, 526)(269, 527)(270, 661)(271, 649)(272, 529)(273, 583)(274, 531)(275, 574)(276, 534)(277, 660)(278, 651)(279, 536)(280, 663)(281, 538)(282, 655)(283, 662)(284, 540)(285, 664)(286, 667)(287, 542)(288, 585)(289, 668)(290, 545)(291, 581)(292, 547)(293, 554)(294, 588)(295, 569)(296, 571)(297, 659)(298, 558)(299, 559)(300, 669)(301, 561)(302, 563)(303, 578)(304, 670)(305, 565)(306, 566)(307, 665)(308, 568)(309, 577)(310, 580)(311, 584)(312, 587)(313, 589)(314, 639)(315, 591)(316, 647)(317, 637)(318, 648)(319, 638)(320, 642)(321, 646)(322, 644)(323, 671)(324, 605)(325, 630)(326, 634)(327, 636)(328, 612)(329, 616)(330, 619)(331, 641)(332, 672)(333, 629)(334, 633)(335, 666)(336, 658)
	local type(s) :: { ( 3, 14, 3, 14 ) }
Outer automorphisms :: reflexible
Dual of E17.2305
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 168 e = 336 f = 136
	degree seq :: [ 4^168 ]

E17.2310 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 14})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1 * Y2^-1 * Y1)^4, (Y2^-1 * Y1 * Y2 * Y1)^4, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1)^3, (Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1)^2, (Y3 * Y2^-1)^14 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 8, 344)(5, 341, 9, 345)(6, 342, 10, 346)(11, 347, 19, 355)(12, 348, 20, 356)(13, 349, 21, 357)(14, 350, 22, 358)(15, 351, 23, 359)(16, 352, 24, 360)(17, 353, 25, 361)(18, 354, 26, 362)(27, 363, 43, 379)(28, 364, 44, 380)(29, 365, 45, 381)(30, 366, 46, 382)(31, 367, 47, 383)(32, 368, 48, 384)(33, 369, 49, 385)(34, 370, 50, 386)(35, 371, 51, 387)(36, 372, 52, 388)(37, 373, 53, 389)(38, 374, 54, 390)(39, 375, 55, 391)(40, 376, 56, 392)(41, 377, 57, 393)(42, 378, 58, 394)(59, 395, 91, 427)(60, 396, 92, 428)(61, 397, 93, 429)(62, 398, 94, 430)(63, 399, 95, 431)(64, 400, 80, 416)(65, 401, 96, 432)(66, 402, 97, 433)(67, 403, 98, 434)(68, 404, 99, 435)(69, 405, 85, 421)(70, 406, 100, 436)(71, 407, 101, 437)(72, 408, 102, 438)(73, 409, 103, 439)(74, 410, 104, 440)(75, 411, 105, 441)(76, 412, 106, 442)(77, 413, 107, 443)(78, 414, 108, 444)(79, 415, 109, 445)(81, 417, 110, 446)(82, 418, 111, 447)(83, 419, 112, 448)(84, 420, 113, 449)(86, 422, 114, 450)(87, 423, 115, 451)(88, 424, 116, 452)(89, 425, 117, 453)(90, 426, 118, 454)(119, 455, 169, 505)(120, 456, 170, 506)(121, 457, 171, 507)(122, 458, 172, 508)(123, 459, 173, 509)(124, 460, 174, 510)(125, 461, 175, 511)(126, 462, 176, 512)(127, 463, 177, 513)(128, 464, 178, 514)(129, 465, 179, 515)(130, 466, 180, 516)(131, 467, 181, 517)(132, 468, 182, 518)(133, 469, 183, 519)(134, 470, 184, 520)(135, 471, 185, 521)(136, 472, 186, 522)(137, 473, 187, 523)(138, 474, 188, 524)(139, 475, 189, 525)(140, 476, 190, 526)(141, 477, 191, 527)(142, 478, 192, 528)(143, 479, 193, 529)(144, 480, 194, 530)(145, 481, 195, 531)(146, 482, 196, 532)(147, 483, 197, 533)(148, 484, 198, 534)(149, 485, 199, 535)(150, 486, 200, 536)(151, 487, 201, 537)(152, 488, 202, 538)(153, 489, 203, 539)(154, 490, 204, 540)(155, 491, 205, 541)(156, 492, 206, 542)(157, 493, 207, 543)(158, 494, 208, 544)(159, 495, 209, 545)(160, 496, 210, 546)(161, 497, 211, 547)(162, 498, 212, 548)(163, 499, 213, 549)(164, 500, 214, 550)(165, 501, 215, 551)(166, 502, 216, 552)(167, 503, 217, 553)(168, 504, 218, 554)(219, 555, 307, 643)(220, 556, 285, 621)(221, 557, 296, 632)(222, 558, 308, 644)(223, 559, 271, 607)(224, 560, 282, 618)(225, 561, 309, 645)(226, 562, 290, 626)(227, 563, 267, 603)(228, 564, 272, 608)(229, 565, 295, 631)(230, 566, 280, 616)(231, 567, 310, 646)(232, 568, 304, 640)(233, 569, 299, 635)(234, 570, 294, 630)(235, 571, 288, 624)(236, 572, 274, 610)(237, 573, 291, 627)(238, 574, 268, 604)(239, 575, 293, 629)(240, 576, 311, 647)(241, 577, 264, 600)(242, 578, 305, 641)(243, 579, 312, 648)(244, 580, 279, 615)(245, 581, 302, 638)(246, 582, 270, 606)(247, 583, 281, 617)(248, 584, 298, 634)(249, 585, 283, 619)(250, 586, 278, 614)(251, 587, 273, 609)(252, 588, 265, 601)(253, 589, 313, 649)(254, 590, 292, 628)(255, 591, 277, 613)(256, 592, 300, 636)(257, 593, 314, 650)(258, 594, 289, 625)(259, 595, 315, 651)(260, 596, 276, 612)(261, 597, 286, 622)(262, 598, 316, 652)(263, 599, 317, 653)(266, 602, 318, 654)(269, 605, 319, 655)(275, 611, 320, 656)(284, 620, 321, 657)(287, 623, 322, 658)(297, 633, 323, 659)(301, 637, 324, 660)(303, 639, 325, 661)(306, 642, 326, 662)(327, 663, 332, 668)(328, 664, 334, 670)(329, 665, 333, 669)(330, 666, 335, 671)(331, 667, 336, 672)(673, 1009, 675, 1011, 676, 1012)(674, 1010, 677, 1013, 678, 1014)(679, 1015, 683, 1019, 684, 1020)(680, 1016, 685, 1021, 686, 1022)(681, 1017, 687, 1023, 688, 1024)(682, 1018, 689, 1025, 690, 1026)(691, 1027, 699, 1035, 700, 1036)(692, 1028, 701, 1037, 702, 1038)(693, 1029, 703, 1039, 704, 1040)(694, 1030, 705, 1041, 706, 1042)(695, 1031, 707, 1043, 708, 1044)(696, 1032, 709, 1045, 710, 1046)(697, 1033, 711, 1047, 712, 1048)(698, 1034, 713, 1049, 714, 1050)(715, 1051, 731, 1067, 732, 1068)(716, 1052, 733, 1069, 734, 1070)(717, 1053, 735, 1071, 736, 1072)(718, 1054, 737, 1073, 738, 1074)(719, 1055, 739, 1075, 740, 1076)(720, 1056, 741, 1077, 742, 1078)(721, 1057, 743, 1079, 744, 1080)(722, 1058, 745, 1081, 746, 1082)(723, 1059, 747, 1083, 748, 1084)(724, 1060, 749, 1085, 750, 1086)(725, 1061, 751, 1087, 752, 1088)(726, 1062, 753, 1089, 754, 1090)(727, 1063, 755, 1091, 756, 1092)(728, 1064, 757, 1093, 758, 1094)(729, 1065, 759, 1095, 760, 1096)(730, 1066, 761, 1097, 762, 1098)(763, 1099, 791, 1127, 792, 1128)(764, 1100, 793, 1129, 794, 1130)(765, 1101, 795, 1131, 774, 1110)(766, 1102, 796, 1132, 797, 1133)(767, 1103, 798, 1134, 799, 1135)(768, 1104, 800, 1136, 801, 1137)(769, 1105, 802, 1138, 803, 1139)(770, 1106, 804, 1140, 805, 1141)(771, 1107, 806, 1142, 807, 1143)(772, 1108, 808, 1144, 809, 1145)(773, 1109, 810, 1146, 811, 1147)(775, 1111, 812, 1148, 813, 1149)(776, 1112, 814, 1150, 815, 1151)(777, 1113, 816, 1152, 817, 1153)(778, 1114, 818, 1154, 819, 1155)(779, 1115, 820, 1156, 788, 1124)(780, 1116, 821, 1157, 822, 1158)(781, 1117, 823, 1159, 824, 1160)(782, 1118, 825, 1161, 826, 1162)(783, 1119, 827, 1163, 828, 1164)(784, 1120, 829, 1165, 830, 1166)(785, 1121, 831, 1167, 832, 1168)(786, 1122, 833, 1169, 834, 1170)(787, 1123, 835, 1171, 836, 1172)(789, 1125, 837, 1173, 838, 1174)(790, 1126, 839, 1175, 840, 1176)(841, 1177, 891, 1227, 892, 1228)(842, 1178, 893, 1229, 894, 1230)(843, 1179, 895, 1231, 851, 1187)(844, 1180, 896, 1232, 897, 1233)(845, 1181, 898, 1234, 899, 1235)(846, 1182, 900, 1236, 901, 1237)(847, 1183, 902, 1238, 903, 1239)(848, 1184, 904, 1240, 905, 1241)(849, 1185, 906, 1242, 907, 1243)(850, 1186, 908, 1244, 909, 1245)(852, 1188, 910, 1246, 911, 1247)(853, 1189, 912, 1248, 913, 1249)(854, 1190, 914, 1250, 915, 1251)(855, 1191, 916, 1252, 917, 1253)(856, 1192, 918, 1254, 863, 1199)(857, 1193, 919, 1255, 920, 1256)(858, 1194, 921, 1257, 922, 1258)(859, 1195, 923, 1259, 924, 1260)(860, 1196, 925, 1261, 926, 1262)(861, 1197, 927, 1263, 928, 1264)(862, 1198, 929, 1265, 930, 1266)(864, 1200, 931, 1267, 932, 1268)(865, 1201, 933, 1269, 934, 1270)(866, 1202, 935, 1271, 936, 1272)(867, 1203, 937, 1273, 938, 1274)(868, 1204, 939, 1275, 876, 1212)(869, 1205, 940, 1276, 941, 1277)(870, 1206, 942, 1278, 943, 1279)(871, 1207, 944, 1280, 945, 1281)(872, 1208, 946, 1282, 947, 1283)(873, 1209, 948, 1284, 949, 1285)(874, 1210, 950, 1286, 951, 1287)(875, 1211, 952, 1288, 953, 1289)(877, 1213, 954, 1290, 955, 1291)(878, 1214, 956, 1292, 957, 1293)(879, 1215, 958, 1294, 959, 1295)(880, 1216, 960, 1296, 961, 1297)(881, 1217, 962, 1298, 888, 1224)(882, 1218, 963, 1299, 964, 1300)(883, 1219, 965, 1301, 966, 1302)(884, 1220, 967, 1303, 968, 1304)(885, 1221, 969, 1305, 970, 1306)(886, 1222, 971, 1307, 972, 1308)(887, 1223, 973, 1309, 974, 1310)(889, 1225, 975, 1311, 976, 1312)(890, 1226, 977, 1313, 978, 1314)(979, 1315, 999, 1335, 988, 1324)(980, 1316, 987, 1323, 1000, 1336)(981, 1317, 986, 1322, 1001, 1337)(982, 1318, 1002, 1338, 984, 1320)(983, 1319, 1003, 1339, 985, 1321)(989, 1325, 1004, 1340, 998, 1334)(990, 1326, 997, 1333, 1005, 1341)(991, 1327, 996, 1332, 1006, 1342)(992, 1328, 1007, 1343, 994, 1330)(993, 1329, 1008, 1344, 995, 1331)
	L = (1, 674)(2, 673)(3, 679)(4, 680)(5, 681)(6, 682)(7, 675)(8, 676)(9, 677)(10, 678)(11, 691)(12, 692)(13, 693)(14, 694)(15, 695)(16, 696)(17, 697)(18, 698)(19, 683)(20, 684)(21, 685)(22, 686)(23, 687)(24, 688)(25, 689)(26, 690)(27, 715)(28, 716)(29, 717)(30, 718)(31, 719)(32, 720)(33, 721)(34, 722)(35, 723)(36, 724)(37, 725)(38, 726)(39, 727)(40, 728)(41, 729)(42, 730)(43, 699)(44, 700)(45, 701)(46, 702)(47, 703)(48, 704)(49, 705)(50, 706)(51, 707)(52, 708)(53, 709)(54, 710)(55, 711)(56, 712)(57, 713)(58, 714)(59, 763)(60, 764)(61, 765)(62, 766)(63, 767)(64, 752)(65, 768)(66, 769)(67, 770)(68, 771)(69, 757)(70, 772)(71, 773)(72, 774)(73, 775)(74, 776)(75, 777)(76, 778)(77, 779)(78, 780)(79, 781)(80, 736)(81, 782)(82, 783)(83, 784)(84, 785)(85, 741)(86, 786)(87, 787)(88, 788)(89, 789)(90, 790)(91, 731)(92, 732)(93, 733)(94, 734)(95, 735)(96, 737)(97, 738)(98, 739)(99, 740)(100, 742)(101, 743)(102, 744)(103, 745)(104, 746)(105, 747)(106, 748)(107, 749)(108, 750)(109, 751)(110, 753)(111, 754)(112, 755)(113, 756)(114, 758)(115, 759)(116, 760)(117, 761)(118, 762)(119, 841)(120, 842)(121, 843)(122, 844)(123, 845)(124, 846)(125, 847)(126, 848)(127, 849)(128, 850)(129, 851)(130, 852)(131, 853)(132, 854)(133, 855)(134, 856)(135, 857)(136, 858)(137, 859)(138, 860)(139, 861)(140, 862)(141, 863)(142, 864)(143, 865)(144, 866)(145, 867)(146, 868)(147, 869)(148, 870)(149, 871)(150, 872)(151, 873)(152, 874)(153, 875)(154, 876)(155, 877)(156, 878)(157, 879)(158, 880)(159, 881)(160, 882)(161, 883)(162, 884)(163, 885)(164, 886)(165, 887)(166, 888)(167, 889)(168, 890)(169, 791)(170, 792)(171, 793)(172, 794)(173, 795)(174, 796)(175, 797)(176, 798)(177, 799)(178, 800)(179, 801)(180, 802)(181, 803)(182, 804)(183, 805)(184, 806)(185, 807)(186, 808)(187, 809)(188, 810)(189, 811)(190, 812)(191, 813)(192, 814)(193, 815)(194, 816)(195, 817)(196, 818)(197, 819)(198, 820)(199, 821)(200, 822)(201, 823)(202, 824)(203, 825)(204, 826)(205, 827)(206, 828)(207, 829)(208, 830)(209, 831)(210, 832)(211, 833)(212, 834)(213, 835)(214, 836)(215, 837)(216, 838)(217, 839)(218, 840)(219, 979)(220, 957)(221, 968)(222, 980)(223, 943)(224, 954)(225, 981)(226, 962)(227, 939)(228, 944)(229, 967)(230, 952)(231, 982)(232, 976)(233, 971)(234, 966)(235, 960)(236, 946)(237, 963)(238, 940)(239, 965)(240, 983)(241, 936)(242, 977)(243, 984)(244, 951)(245, 974)(246, 942)(247, 953)(248, 970)(249, 955)(250, 950)(251, 945)(252, 937)(253, 985)(254, 964)(255, 949)(256, 972)(257, 986)(258, 961)(259, 987)(260, 948)(261, 958)(262, 988)(263, 989)(264, 913)(265, 924)(266, 990)(267, 899)(268, 910)(269, 991)(270, 918)(271, 895)(272, 900)(273, 923)(274, 908)(275, 992)(276, 932)(277, 927)(278, 922)(279, 916)(280, 902)(281, 919)(282, 896)(283, 921)(284, 993)(285, 892)(286, 933)(287, 994)(288, 907)(289, 930)(290, 898)(291, 909)(292, 926)(293, 911)(294, 906)(295, 901)(296, 893)(297, 995)(298, 920)(299, 905)(300, 928)(301, 996)(302, 917)(303, 997)(304, 904)(305, 914)(306, 998)(307, 891)(308, 894)(309, 897)(310, 903)(311, 912)(312, 915)(313, 925)(314, 929)(315, 931)(316, 934)(317, 935)(318, 938)(319, 941)(320, 947)(321, 956)(322, 959)(323, 969)(324, 973)(325, 975)(326, 978)(327, 1004)(328, 1006)(329, 1005)(330, 1007)(331, 1008)(332, 999)(333, 1001)(334, 1000)(335, 1002)(336, 1003)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 28, 2, 28 ), ( 2, 28, 2, 28, 2, 28 ) }
Outer automorphisms :: reflexible
Dual of E17.2313
Graph:: bipartite
	v = 280 e = 672 f = 360
	degree seq :: [ 4^168, 6^112 ]

E17.2311 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 14})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y1 * Y2)^2, (R * Y3)^2, (R * Y1)^2, (Y3^-1 * Y1^-1)^2, (Y2^-2 * Y1)^4, (Y2^6 * Y1^-1)^2, Y2^14, Y2^-1 * Y1 * Y2^3 * Y1^-1 * Y2^3 * Y1 * Y2^-3 * Y1 * Y2^-2 ]
Map::
	R = (1, 337, 2, 338, 4, 340)(3, 339, 8, 344, 10, 346)(5, 341, 12, 348, 6, 342)(7, 343, 15, 351, 11, 347)(9, 345, 18, 354, 20, 356)(13, 349, 25, 361, 23, 359)(14, 350, 24, 360, 28, 364)(16, 352, 31, 367, 29, 365)(17, 353, 33, 369, 21, 357)(19, 355, 36, 372, 38, 374)(22, 358, 30, 366, 42, 378)(26, 362, 47, 383, 45, 381)(27, 363, 49, 385, 51, 387)(32, 368, 57, 393, 55, 391)(34, 370, 61, 397, 59, 395)(35, 371, 63, 399, 39, 375)(37, 373, 66, 402, 68, 404)(40, 376, 60, 396, 72, 408)(41, 377, 73, 409, 75, 411)(43, 379, 46, 382, 78, 414)(44, 380, 79, 415, 52, 388)(48, 384, 85, 421, 83, 419)(50, 386, 88, 424, 90, 426)(53, 389, 56, 392, 94, 430)(54, 390, 95, 431, 76, 412)(58, 394, 101, 437, 99, 435)(62, 398, 107, 443, 105, 441)(64, 400, 111, 447, 109, 445)(65, 401, 113, 449, 69, 405)(67, 403, 116, 452, 118, 454)(70, 406, 110, 446, 98, 434)(71, 407, 122, 458, 124, 460)(74, 410, 127, 463, 129, 465)(77, 413, 132, 468, 134, 470)(80, 416, 137, 473, 136, 472)(81, 417, 84, 420, 140, 476)(82, 418, 131, 467, 135, 471)(86, 422, 146, 482, 144, 480)(87, 423, 148, 484, 91, 427)(89, 425, 151, 487, 153, 489)(92, 428, 125, 461, 104, 440)(93, 429, 157, 493, 159, 495)(96, 432, 161, 497, 160, 496)(97, 433, 100, 436, 164, 500)(102, 438, 170, 506, 168, 504)(103, 439, 106, 442, 173, 509)(108, 444, 179, 515, 177, 513)(112, 448, 184, 520, 182, 518)(114, 450, 188, 524, 186, 522)(115, 451, 190, 526, 119, 455)(117, 453, 193, 529, 171, 507)(120, 456, 187, 523, 176, 512)(121, 457, 165, 501, 199, 535)(123, 459, 201, 537, 203, 539)(126, 462, 205, 541, 130, 466)(128, 464, 208, 544, 210, 546)(133, 469, 215, 551, 217, 553)(138, 474, 222, 558, 220, 556)(139, 475, 223, 559, 225, 561)(141, 477, 227, 563, 213, 549)(142, 478, 145, 481, 229, 565)(143, 479, 155, 491, 226, 562)(147, 483, 209, 545, 231, 567)(149, 485, 233, 569, 232, 568)(150, 486, 235, 571, 154, 490)(152, 488, 238, 574, 180, 516)(156, 492, 174, 510, 244, 580)(158, 494, 246, 582, 248, 584)(162, 498, 253, 589, 251, 587)(163, 499, 254, 590, 256, 592)(166, 502, 169, 505, 259, 595)(167, 503, 212, 548, 257, 593)(172, 508, 261, 597, 263, 599)(175, 511, 178, 514, 266, 602)(181, 517, 183, 519, 272, 608)(185, 521, 277, 613, 275, 611)(189, 525, 255, 591, 279, 615)(191, 527, 258, 594, 282, 618)(192, 528, 285, 621, 195, 531)(194, 530, 239, 575, 270, 606)(196, 532, 283, 619, 274, 610)(197, 533, 267, 603, 242, 578)(198, 534, 287, 623, 288, 624)(200, 536, 290, 626, 204, 540)(202, 538, 293, 629, 230, 566)(206, 542, 297, 633, 296, 632)(207, 543, 299, 635, 211, 547)(214, 550, 301, 637, 218, 554)(216, 552, 304, 640, 260, 596)(219, 555, 221, 557, 305, 641)(224, 560, 308, 644, 298, 634)(228, 564, 309, 645, 300, 636)(234, 570, 262, 598, 311, 647)(236, 572, 265, 601, 314, 650)(237, 573, 317, 653, 240, 576)(241, 577, 315, 651, 289, 625)(243, 579, 319, 655, 320, 656)(245, 581, 322, 658, 249, 585)(247, 583, 324, 660, 268, 604)(250, 586, 252, 588, 325, 661)(264, 600, 329, 665, 321, 657)(269, 605, 295, 631, 331, 667)(271, 607, 310, 646, 312, 648)(273, 609, 276, 612, 333, 669)(278, 614, 280, 616, 306, 642)(281, 617, 335, 671, 318, 654)(284, 620, 330, 666, 316, 652)(286, 622, 332, 668, 336, 672)(291, 627, 303, 639, 326, 662)(292, 628, 307, 643, 294, 630)(302, 638, 323, 659, 327, 663)(313, 649, 334, 670, 328, 664)(673, 1009, 675, 1011, 681, 1017, 691, 1027, 709, 1045, 739, 1075, 789, 1125, 866, 1202, 819, 1155, 758, 1094, 720, 1056, 698, 1034, 685, 1021, 677, 1013)(674, 1010, 678, 1014, 686, 1022, 699, 1035, 722, 1058, 761, 1097, 824, 1160, 911, 1247, 843, 1179, 774, 1110, 730, 1066, 704, 1040, 688, 1024, 679, 1015)(676, 1012, 683, 1019, 694, 1030, 713, 1049, 746, 1082, 800, 1136, 881, 1217, 942, 1278, 852, 1188, 780, 1116, 734, 1070, 706, 1042, 689, 1025, 680, 1016)(682, 1018, 693, 1029, 712, 1048, 743, 1079, 795, 1131, 874, 1210, 818, 1154, 903, 1239, 882, 1218, 857, 1193, 784, 1120, 736, 1072, 707, 1043, 690, 1026)(684, 1020, 695, 1031, 715, 1051, 749, 1085, 805, 1141, 888, 1224, 842, 1178, 865, 1201, 790, 1126, 867, 1203, 810, 1146, 752, 1088, 716, 1052, 696, 1032)(687, 1023, 701, 1037, 725, 1061, 765, 1101, 830, 1166, 919, 1255, 851, 1187, 910, 1246, 825, 1161, 912, 1248, 834, 1170, 768, 1104, 726, 1062, 702, 1038)(692, 1028, 711, 1047, 742, 1078, 793, 1129, 870, 1206, 817, 1153, 757, 1093, 816, 1152, 902, 1238, 953, 1289, 861, 1197, 786, 1122, 737, 1073, 708, 1044)(697, 1033, 717, 1053, 753, 1089, 811, 1147, 896, 1232, 958, 1294, 864, 1200, 788, 1124, 740, 1076, 791, 1127, 868, 1204, 813, 1149, 754, 1090, 718, 1054)(700, 1036, 724, 1060, 764, 1100, 828, 1164, 915, 1251, 841, 1177, 773, 1109, 840, 1176, 932, 1268, 985, 1321, 906, 1242, 821, 1157, 759, 1095, 721, 1057)(703, 1039, 727, 1063, 769, 1105, 835, 1171, 927, 1263, 990, 1326, 909, 1245, 823, 1159, 762, 1098, 826, 1162, 913, 1249, 837, 1173, 770, 1106, 728, 1064)(705, 1041, 731, 1067, 775, 1111, 844, 1180, 934, 1270, 1000, 1336, 949, 1285, 880, 1216, 801, 1137, 883, 1219, 936, 1272, 846, 1182, 776, 1112, 732, 1068)(710, 1046, 741, 1077, 792, 1128, 869, 1205, 815, 1151, 756, 1092, 719, 1055, 755, 1091, 814, 1150, 900, 1236, 956, 1292, 863, 1199, 787, 1123, 738, 1074)(714, 1050, 748, 1084, 803, 1139, 885, 1221, 941, 1277, 850, 1186, 779, 1115, 849, 1185, 940, 1276, 1004, 1340, 970, 1306, 878, 1214, 798, 1134, 745, 1081)(723, 1059, 763, 1099, 827, 1163, 914, 1250, 839, 1175, 772, 1108, 729, 1065, 771, 1107, 838, 1174, 930, 1266, 988, 1324, 908, 1244, 822, 1158, 760, 1096)(733, 1069, 777, 1113, 847, 1183, 937, 1273, 1002, 1338, 972, 1308, 879, 1215, 799, 1135, 747, 1083, 802, 1138, 884, 1220, 939, 1275, 848, 1184, 778, 1114)(735, 1071, 781, 1117, 853, 1189, 943, 1279, 925, 1261, 989, 1325, 1007, 1343, 965, 1301, 875, 1211, 966, 1302, 917, 1253, 829, 1165, 766, 1102, 782, 1118)(744, 1080, 797, 1133, 751, 1087, 808, 1144, 891, 1227, 948, 1284, 856, 1192, 947, 1283, 1006, 1342, 976, 1312, 889, 1225, 963, 1299, 872, 1208, 794, 1130)(750, 1086, 807, 1143, 767, 1103, 832, 1168, 922, 1258, 978, 1314, 894, 1230, 957, 1293, 1008, 1344, 996, 1332, 920, 1256, 974, 1310, 886, 1222, 804, 1140)(783, 1119, 854, 1190, 945, 1281, 969, 1305, 980, 1316, 897, 1233, 964, 1300, 873, 1209, 796, 1132, 876, 1212, 967, 1303, 899, 1235, 946, 1282, 855, 1191)(785, 1121, 858, 1194, 950, 1286, 997, 1333, 1001, 1337, 971, 1307, 981, 1317, 901, 1237, 960, 1296, 973, 1309, 999, 1335, 933, 1269, 845, 1181, 859, 1195)(806, 1142, 890, 1226, 959, 1295, 871, 1207, 961, 1297, 893, 1229, 809, 1145, 892, 1228, 952, 1288, 860, 1196, 951, 1287, 928, 1264, 975, 1311, 887, 1223)(812, 1148, 898, 1234, 820, 1156, 904, 1240, 982, 1318, 944, 1280, 955, 1291, 862, 1198, 954, 1290, 931, 1267, 992, 1328, 994, 1330, 979, 1315, 895, 1231)(831, 1167, 921, 1257, 991, 1327, 916, 1252, 993, 1329, 924, 1260, 833, 1169, 923, 1259, 984, 1320, 905, 1241, 983, 1319, 935, 1271, 995, 1331, 918, 1254)(836, 1172, 929, 1265, 877, 1213, 968, 1304, 1005, 1341, 977, 1313, 987, 1323, 907, 1243, 986, 1322, 938, 1274, 1003, 1339, 962, 1298, 998, 1334, 926, 1262)
	L = (1, 675)(2, 678)(3, 681)(4, 683)(5, 673)(6, 686)(7, 674)(8, 676)(9, 691)(10, 693)(11, 694)(12, 695)(13, 677)(14, 699)(15, 701)(16, 679)(17, 680)(18, 682)(19, 709)(20, 711)(21, 712)(22, 713)(23, 715)(24, 684)(25, 717)(26, 685)(27, 722)(28, 724)(29, 725)(30, 687)(31, 727)(32, 688)(33, 731)(34, 689)(35, 690)(36, 692)(37, 739)(38, 741)(39, 742)(40, 743)(41, 746)(42, 748)(43, 749)(44, 696)(45, 753)(46, 697)(47, 755)(48, 698)(49, 700)(50, 761)(51, 763)(52, 764)(53, 765)(54, 702)(55, 769)(56, 703)(57, 771)(58, 704)(59, 775)(60, 705)(61, 777)(62, 706)(63, 781)(64, 707)(65, 708)(66, 710)(67, 789)(68, 791)(69, 792)(70, 793)(71, 795)(72, 797)(73, 714)(74, 800)(75, 802)(76, 803)(77, 805)(78, 807)(79, 808)(80, 716)(81, 811)(82, 718)(83, 814)(84, 719)(85, 816)(86, 720)(87, 721)(88, 723)(89, 824)(90, 826)(91, 827)(92, 828)(93, 830)(94, 782)(95, 832)(96, 726)(97, 835)(98, 728)(99, 838)(100, 729)(101, 840)(102, 730)(103, 844)(104, 732)(105, 847)(106, 733)(107, 849)(108, 734)(109, 853)(110, 735)(111, 854)(112, 736)(113, 858)(114, 737)(115, 738)(116, 740)(117, 866)(118, 867)(119, 868)(120, 869)(121, 870)(122, 744)(123, 874)(124, 876)(125, 751)(126, 745)(127, 747)(128, 881)(129, 883)(130, 884)(131, 885)(132, 750)(133, 888)(134, 890)(135, 767)(136, 891)(137, 892)(138, 752)(139, 896)(140, 898)(141, 754)(142, 900)(143, 756)(144, 902)(145, 757)(146, 903)(147, 758)(148, 904)(149, 759)(150, 760)(151, 762)(152, 911)(153, 912)(154, 913)(155, 914)(156, 915)(157, 766)(158, 919)(159, 921)(160, 922)(161, 923)(162, 768)(163, 927)(164, 929)(165, 770)(166, 930)(167, 772)(168, 932)(169, 773)(170, 865)(171, 774)(172, 934)(173, 859)(174, 776)(175, 937)(176, 778)(177, 940)(178, 779)(179, 910)(180, 780)(181, 943)(182, 945)(183, 783)(184, 947)(185, 784)(186, 950)(187, 785)(188, 951)(189, 786)(190, 954)(191, 787)(192, 788)(193, 790)(194, 819)(195, 810)(196, 813)(197, 815)(198, 817)(199, 961)(200, 794)(201, 796)(202, 818)(203, 966)(204, 967)(205, 968)(206, 798)(207, 799)(208, 801)(209, 942)(210, 857)(211, 936)(212, 939)(213, 941)(214, 804)(215, 806)(216, 842)(217, 963)(218, 959)(219, 948)(220, 952)(221, 809)(222, 957)(223, 812)(224, 958)(225, 964)(226, 820)(227, 946)(228, 956)(229, 960)(230, 953)(231, 882)(232, 982)(233, 983)(234, 821)(235, 986)(236, 822)(237, 823)(238, 825)(239, 843)(240, 834)(241, 837)(242, 839)(243, 841)(244, 993)(245, 829)(246, 831)(247, 851)(248, 974)(249, 991)(250, 978)(251, 984)(252, 833)(253, 989)(254, 836)(255, 990)(256, 975)(257, 877)(258, 988)(259, 992)(260, 985)(261, 845)(262, 1000)(263, 995)(264, 846)(265, 1002)(266, 1003)(267, 848)(268, 1004)(269, 850)(270, 852)(271, 925)(272, 955)(273, 969)(274, 855)(275, 1006)(276, 856)(277, 880)(278, 997)(279, 928)(280, 860)(281, 861)(282, 931)(283, 862)(284, 863)(285, 1008)(286, 864)(287, 871)(288, 973)(289, 893)(290, 998)(291, 872)(292, 873)(293, 875)(294, 917)(295, 899)(296, 1005)(297, 980)(298, 878)(299, 981)(300, 879)(301, 999)(302, 886)(303, 887)(304, 889)(305, 987)(306, 894)(307, 895)(308, 897)(309, 901)(310, 944)(311, 935)(312, 905)(313, 906)(314, 938)(315, 907)(316, 908)(317, 1007)(318, 909)(319, 916)(320, 994)(321, 924)(322, 979)(323, 918)(324, 920)(325, 1001)(326, 926)(327, 933)(328, 949)(329, 971)(330, 972)(331, 962)(332, 970)(333, 977)(334, 976)(335, 965)(336, 996)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4 ), ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2312
Graph:: bipartite
	v = 136 e = 672 f = 504
	degree seq :: [ 6^112, 28^24 ]

E17.2312 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 14})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, (Y3^-5 * Y2 * Y3^-2)^2, Y3^2 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2, (Y3^-2 * Y2 * Y3^3 * Y2 * Y3^-2)^2, (Y3^2 * Y2 * Y3^-2 * Y2)^3, (Y3^-1 * Y1^-1)^14 ]
Map:: polytopal
	R = (1, 337)(2, 338)(3, 339)(4, 340)(5, 341)(6, 342)(7, 343)(8, 344)(9, 345)(10, 346)(11, 347)(12, 348)(13, 349)(14, 350)(15, 351)(16, 352)(17, 353)(18, 354)(19, 355)(20, 356)(21, 357)(22, 358)(23, 359)(24, 360)(25, 361)(26, 362)(27, 363)(28, 364)(29, 365)(30, 366)(31, 367)(32, 368)(33, 369)(34, 370)(35, 371)(36, 372)(37, 373)(38, 374)(39, 375)(40, 376)(41, 377)(42, 378)(43, 379)(44, 380)(45, 381)(46, 382)(47, 383)(48, 384)(49, 385)(50, 386)(51, 387)(52, 388)(53, 389)(54, 390)(55, 391)(56, 392)(57, 393)(58, 394)(59, 395)(60, 396)(61, 397)(62, 398)(63, 399)(64, 400)(65, 401)(66, 402)(67, 403)(68, 404)(69, 405)(70, 406)(71, 407)(72, 408)(73, 409)(74, 410)(75, 411)(76, 412)(77, 413)(78, 414)(79, 415)(80, 416)(81, 417)(82, 418)(83, 419)(84, 420)(85, 421)(86, 422)(87, 423)(88, 424)(89, 425)(90, 426)(91, 427)(92, 428)(93, 429)(94, 430)(95, 431)(96, 432)(97, 433)(98, 434)(99, 435)(100, 436)(101, 437)(102, 438)(103, 439)(104, 440)(105, 441)(106, 442)(107, 443)(108, 444)(109, 445)(110, 446)(111, 447)(112, 448)(113, 449)(114, 450)(115, 451)(116, 452)(117, 453)(118, 454)(119, 455)(120, 456)(121, 457)(122, 458)(123, 459)(124, 460)(125, 461)(126, 462)(127, 463)(128, 464)(129, 465)(130, 466)(131, 467)(132, 468)(133, 469)(134, 470)(135, 471)(136, 472)(137, 473)(138, 474)(139, 475)(140, 476)(141, 477)(142, 478)(143, 479)(144, 480)(145, 481)(146, 482)(147, 483)(148, 484)(149, 485)(150, 486)(151, 487)(152, 488)(153, 489)(154, 490)(155, 491)(156, 492)(157, 493)(158, 494)(159, 495)(160, 496)(161, 497)(162, 498)(163, 499)(164, 500)(165, 501)(166, 502)(167, 503)(168, 504)(169, 505)(170, 506)(171, 507)(172, 508)(173, 509)(174, 510)(175, 511)(176, 512)(177, 513)(178, 514)(179, 515)(180, 516)(181, 517)(182, 518)(183, 519)(184, 520)(185, 521)(186, 522)(187, 523)(188, 524)(189, 525)(190, 526)(191, 527)(192, 528)(193, 529)(194, 530)(195, 531)(196, 532)(197, 533)(198, 534)(199, 535)(200, 536)(201, 537)(202, 538)(203, 539)(204, 540)(205, 541)(206, 542)(207, 543)(208, 544)(209, 545)(210, 546)(211, 547)(212, 548)(213, 549)(214, 550)(215, 551)(216, 552)(217, 553)(218, 554)(219, 555)(220, 556)(221, 557)(222, 558)(223, 559)(224, 560)(225, 561)(226, 562)(227, 563)(228, 564)(229, 565)(230, 566)(231, 567)(232, 568)(233, 569)(234, 570)(235, 571)(236, 572)(237, 573)(238, 574)(239, 575)(240, 576)(241, 577)(242, 578)(243, 579)(244, 580)(245, 581)(246, 582)(247, 583)(248, 584)(249, 585)(250, 586)(251, 587)(252, 588)(253, 589)(254, 590)(255, 591)(256, 592)(257, 593)(258, 594)(259, 595)(260, 596)(261, 597)(262, 598)(263, 599)(264, 600)(265, 601)(266, 602)(267, 603)(268, 604)(269, 605)(270, 606)(271, 607)(272, 608)(273, 609)(274, 610)(275, 611)(276, 612)(277, 613)(278, 614)(279, 615)(280, 616)(281, 617)(282, 618)(283, 619)(284, 620)(285, 621)(286, 622)(287, 623)(288, 624)(289, 625)(290, 626)(291, 627)(292, 628)(293, 629)(294, 630)(295, 631)(296, 632)(297, 633)(298, 634)(299, 635)(300, 636)(301, 637)(302, 638)(303, 639)(304, 640)(305, 641)(306, 642)(307, 643)(308, 644)(309, 645)(310, 646)(311, 647)(312, 648)(313, 649)(314, 650)(315, 651)(316, 652)(317, 653)(318, 654)(319, 655)(320, 656)(321, 657)(322, 658)(323, 659)(324, 660)(325, 661)(326, 662)(327, 663)(328, 664)(329, 665)(330, 666)(331, 667)(332, 668)(333, 669)(334, 670)(335, 671)(336, 672)(673, 1009, 674, 1010)(675, 1011, 679, 1015)(676, 1012, 681, 1017)(677, 1013, 683, 1019)(678, 1014, 685, 1021)(680, 1016, 688, 1024)(682, 1018, 691, 1027)(684, 1020, 694, 1030)(686, 1022, 697, 1033)(687, 1023, 699, 1035)(689, 1025, 702, 1038)(690, 1026, 704, 1040)(692, 1028, 707, 1043)(693, 1029, 709, 1045)(695, 1031, 712, 1048)(696, 1032, 714, 1050)(698, 1034, 717, 1053)(700, 1036, 720, 1056)(701, 1037, 722, 1058)(703, 1039, 725, 1061)(705, 1041, 728, 1064)(706, 1042, 730, 1066)(708, 1044, 733, 1069)(710, 1046, 736, 1072)(711, 1047, 738, 1074)(713, 1049, 741, 1077)(715, 1051, 744, 1080)(716, 1052, 746, 1082)(718, 1054, 749, 1085)(719, 1055, 751, 1087)(721, 1057, 754, 1090)(723, 1059, 757, 1093)(724, 1060, 759, 1095)(726, 1062, 762, 1098)(727, 1063, 764, 1100)(729, 1065, 767, 1103)(731, 1067, 770, 1106)(732, 1068, 772, 1108)(734, 1070, 775, 1111)(735, 1071, 777, 1113)(737, 1073, 780, 1116)(739, 1075, 783, 1119)(740, 1076, 785, 1121)(742, 1078, 788, 1124)(743, 1079, 790, 1126)(745, 1081, 793, 1129)(747, 1083, 796, 1132)(748, 1084, 798, 1134)(750, 1086, 801, 1137)(752, 1088, 804, 1140)(753, 1089, 806, 1142)(755, 1091, 809, 1145)(756, 1092, 811, 1147)(758, 1094, 814, 1150)(760, 1096, 817, 1153)(761, 1097, 819, 1155)(763, 1099, 822, 1158)(765, 1101, 825, 1161)(766, 1102, 827, 1163)(768, 1104, 830, 1166)(769, 1105, 832, 1168)(771, 1107, 835, 1171)(773, 1109, 838, 1174)(774, 1110, 840, 1176)(776, 1112, 843, 1179)(778, 1114, 845, 1181)(779, 1115, 847, 1183)(781, 1117, 850, 1186)(782, 1118, 852, 1188)(784, 1120, 855, 1191)(786, 1122, 858, 1194)(787, 1123, 860, 1196)(789, 1125, 863, 1199)(791, 1127, 866, 1202)(792, 1128, 868, 1204)(794, 1130, 871, 1207)(795, 1131, 873, 1209)(797, 1133, 876, 1212)(799, 1135, 879, 1215)(800, 1136, 881, 1217)(802, 1138, 884, 1220)(803, 1139, 844, 1180)(805, 1141, 886, 1222)(807, 1143, 889, 1225)(808, 1144, 891, 1227)(810, 1146, 862, 1198)(812, 1148, 874, 1210)(813, 1149, 895, 1231)(815, 1151, 898, 1234)(816, 1152, 900, 1236)(818, 1154, 903, 1239)(820, 1156, 906, 1242)(821, 1157, 851, 1187)(823, 1159, 864, 1200)(824, 1160, 865, 1201)(826, 1162, 910, 1246)(828, 1164, 912, 1248)(829, 1165, 914, 1250)(831, 1167, 883, 1219)(833, 1169, 853, 1189)(834, 1170, 917, 1253)(836, 1172, 920, 1256)(837, 1173, 921, 1257)(839, 1175, 923, 1259)(841, 1177, 924, 1260)(842, 1178, 872, 1208)(846, 1182, 926, 1262)(848, 1184, 929, 1265)(849, 1185, 931, 1267)(854, 1190, 935, 1271)(856, 1192, 938, 1274)(857, 1193, 940, 1276)(859, 1195, 943, 1279)(861, 1197, 946, 1282)(867, 1203, 950, 1286)(869, 1205, 952, 1288)(870, 1206, 954, 1290)(875, 1211, 957, 1293)(877, 1213, 960, 1296)(878, 1214, 961, 1297)(880, 1216, 963, 1299)(882, 1218, 964, 1300)(885, 1221, 965, 1301)(887, 1223, 968, 1304)(888, 1224, 969, 1305)(890, 1226, 937, 1273)(892, 1228, 942, 1278)(893, 1229, 948, 1284)(894, 1230, 974, 1310)(896, 1232, 936, 1272)(897, 1233, 930, 1266)(899, 1235, 956, 1292)(901, 1237, 970, 1306)(902, 1238, 932, 1268)(904, 1240, 947, 1283)(905, 1241, 980, 1316)(907, 1243, 944, 1280)(908, 1244, 933, 1269)(909, 1245, 981, 1317)(911, 1247, 982, 1318)(913, 1249, 959, 1295)(915, 1251, 962, 1298)(916, 1252, 939, 1275)(918, 1254, 958, 1294)(919, 1255, 953, 1289)(922, 1258, 955, 1291)(925, 1261, 985, 1321)(927, 1263, 988, 1324)(928, 1264, 989, 1325)(934, 1270, 994, 1330)(941, 1277, 990, 1326)(945, 1281, 1000, 1336)(949, 1285, 1001, 1337)(951, 1287, 1002, 1338)(966, 1302, 1004, 1340)(967, 1303, 1003, 1339)(971, 1307, 997, 1333)(972, 1308, 999, 1335)(973, 1309, 993, 1329)(975, 1311, 996, 1332)(976, 1312, 995, 1331)(977, 1313, 991, 1327)(978, 1314, 998, 1334)(979, 1315, 992, 1328)(983, 1319, 987, 1323)(984, 1320, 986, 1322)(1005, 1341, 1008, 1344)(1006, 1342, 1007, 1343)
	L = (1, 675)(2, 677)(3, 680)(4, 673)(5, 684)(6, 674)(7, 685)(8, 689)(9, 690)(10, 676)(11, 681)(12, 695)(13, 696)(14, 678)(15, 679)(16, 699)(17, 703)(18, 705)(19, 706)(20, 682)(21, 683)(22, 709)(23, 713)(24, 715)(25, 716)(26, 686)(27, 719)(28, 687)(29, 688)(30, 722)(31, 726)(32, 691)(33, 729)(34, 731)(35, 732)(36, 692)(37, 735)(38, 693)(39, 694)(40, 738)(41, 742)(42, 697)(43, 745)(44, 747)(45, 748)(46, 698)(47, 752)(48, 753)(49, 700)(50, 756)(51, 701)(52, 702)(53, 759)(54, 763)(55, 704)(56, 764)(57, 768)(58, 707)(59, 771)(60, 773)(61, 774)(62, 708)(63, 778)(64, 779)(65, 710)(66, 782)(67, 711)(68, 712)(69, 785)(70, 789)(71, 714)(72, 790)(73, 794)(74, 717)(75, 797)(76, 799)(77, 800)(78, 718)(79, 720)(80, 805)(81, 807)(82, 808)(83, 721)(84, 812)(85, 813)(86, 723)(87, 816)(88, 724)(89, 725)(90, 819)(91, 823)(92, 824)(93, 727)(94, 728)(95, 827)(96, 831)(97, 730)(98, 832)(99, 836)(100, 733)(101, 839)(102, 841)(103, 842)(104, 734)(105, 736)(106, 846)(107, 848)(108, 849)(109, 737)(110, 853)(111, 854)(112, 739)(113, 857)(114, 740)(115, 741)(116, 860)(117, 864)(118, 865)(119, 743)(120, 744)(121, 868)(122, 872)(123, 746)(124, 873)(125, 877)(126, 749)(127, 880)(128, 882)(129, 883)(130, 750)(131, 751)(132, 844)(133, 887)(134, 754)(135, 890)(136, 892)(137, 893)(138, 755)(139, 757)(140, 894)(141, 896)(142, 897)(143, 758)(144, 901)(145, 902)(146, 760)(147, 905)(148, 761)(149, 762)(150, 851)(151, 776)(152, 866)(153, 909)(154, 765)(155, 911)(156, 766)(157, 767)(158, 914)(159, 884)(160, 852)(161, 769)(162, 770)(163, 917)(164, 908)(165, 772)(166, 921)(167, 907)(168, 775)(169, 904)(170, 899)(171, 863)(172, 777)(173, 803)(174, 927)(175, 780)(176, 930)(177, 932)(178, 933)(179, 781)(180, 783)(181, 934)(182, 936)(183, 937)(184, 784)(185, 941)(186, 942)(187, 786)(188, 945)(189, 787)(190, 788)(191, 810)(192, 802)(193, 825)(194, 949)(195, 791)(196, 951)(197, 792)(198, 793)(199, 954)(200, 843)(201, 811)(202, 795)(203, 796)(204, 957)(205, 948)(206, 798)(207, 961)(208, 947)(209, 801)(210, 944)(211, 939)(212, 822)(213, 804)(214, 965)(215, 840)(216, 806)(217, 969)(218, 938)(219, 809)(220, 943)(221, 973)(222, 837)(223, 814)(224, 976)(225, 977)(226, 978)(227, 815)(228, 817)(229, 833)(230, 979)(231, 963)(232, 818)(233, 826)(234, 964)(235, 820)(236, 821)(237, 972)(238, 975)(239, 974)(240, 971)(241, 828)(242, 966)(243, 829)(244, 830)(245, 967)(246, 834)(247, 835)(248, 953)(249, 982)(250, 838)(251, 955)(252, 968)(253, 845)(254, 985)(255, 881)(256, 847)(257, 989)(258, 898)(259, 850)(260, 903)(261, 993)(262, 878)(263, 855)(264, 996)(265, 997)(266, 998)(267, 856)(268, 858)(269, 874)(270, 999)(271, 923)(272, 859)(273, 867)(274, 924)(275, 861)(276, 862)(277, 992)(278, 995)(279, 994)(280, 991)(281, 869)(282, 986)(283, 870)(284, 871)(285, 987)(286, 875)(287, 876)(288, 913)(289, 1002)(290, 879)(291, 915)(292, 988)(293, 1005)(294, 885)(295, 886)(296, 1003)(297, 900)(298, 888)(299, 889)(300, 891)(301, 920)(302, 990)(303, 895)(304, 1000)(305, 919)(306, 916)(307, 1006)(308, 906)(309, 910)(310, 912)(311, 918)(312, 922)(313, 1007)(314, 925)(315, 926)(316, 983)(317, 940)(318, 928)(319, 929)(320, 931)(321, 960)(322, 970)(323, 935)(324, 980)(325, 959)(326, 956)(327, 1008)(328, 946)(329, 950)(330, 952)(331, 958)(332, 962)(333, 981)(334, 984)(335, 1001)(336, 1004)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 6, 28 ), ( 6, 28, 6, 28 ) }
Outer automorphisms :: reflexible
Dual of E17.2311
Graph:: simple bipartite
	v = 504 e = 672 f = 136
	degree seq :: [ 2^336, 4^168 ]

E17.2313 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 14})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y1)^2, (R * Y3)^2, (Y3 * Y2^-1)^2, (Y3 * Y1^-1)^3, Y1^14, Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-2, (Y3 * Y1^-7)^2, (Y3 * Y1^5 * Y3 * Y1^-1)^2, (Y3 * Y1^2 * Y3 * Y1^-2)^3, (Y3 * Y1^3 * Y3 * Y1^-4)^2 ]
Map:: polytopal
	R = (1, 337, 2, 338, 5, 341, 11, 347, 21, 357, 37, 373, 63, 399, 105, 441, 104, 440, 62, 398, 36, 372, 20, 356, 10, 346, 4, 340)(3, 339, 7, 343, 15, 351, 27, 363, 47, 383, 79, 415, 131, 467, 172, 508, 151, 487, 91, 427, 54, 390, 31, 367, 17, 353, 8, 344)(6, 342, 13, 349, 25, 361, 43, 379, 73, 409, 121, 457, 197, 533, 171, 507, 212, 548, 130, 466, 78, 414, 46, 382, 26, 362, 14, 350)(9, 345, 18, 354, 32, 368, 55, 391, 92, 428, 152, 488, 174, 510, 106, 442, 173, 509, 143, 479, 86, 422, 51, 387, 29, 365, 16, 352)(12, 348, 23, 359, 41, 377, 69, 405, 115, 451, 187, 523, 169, 505, 103, 439, 170, 506, 196, 532, 120, 456, 72, 408, 42, 378, 24, 360)(19, 355, 34, 370, 58, 394, 97, 433, 160, 496, 176, 512, 108, 444, 64, 400, 107, 443, 175, 511, 159, 495, 96, 432, 57, 393, 33, 369)(22, 358, 39, 375, 67, 403, 111, 447, 181, 517, 167, 503, 101, 437, 61, 397, 102, 438, 168, 504, 186, 522, 114, 450, 68, 404, 40, 376)(28, 364, 49, 385, 83, 419, 137, 473, 220, 556, 296, 632, 235, 571, 150, 486, 236, 572, 299, 635, 223, 559, 140, 476, 84, 420, 50, 386)(30, 366, 52, 388, 87, 423, 144, 480, 228, 564, 292, 628, 211, 547, 132, 468, 213, 549, 284, 620, 204, 540, 125, 461, 75, 411, 44, 380)(35, 371, 60, 396, 100, 436, 165, 501, 180, 516, 110, 446, 66, 402, 38, 374, 65, 401, 109, 445, 177, 513, 164, 500, 99, 435, 59, 395)(45, 381, 76, 412, 126, 462, 205, 541, 285, 621, 328, 664, 276, 612, 198, 534, 277, 613, 324, 660, 269, 605, 191, 527, 117, 453, 70, 406)(48, 384, 81, 417, 135, 471, 216, 552, 295, 631, 233, 569, 148, 484, 90, 426, 149, 485, 234, 570, 258, 594, 219, 555, 136, 472, 82, 418)(53, 389, 89, 425, 147, 483, 231, 567, 264, 600, 215, 551, 134, 470, 80, 416, 133, 469, 214, 550, 260, 596, 182, 518, 146, 482, 88, 424)(56, 392, 94, 430, 156, 492, 203, 539, 282, 618, 319, 655, 302, 638, 227, 563, 254, 590, 314, 650, 303, 639, 242, 578, 157, 493, 95, 431)(71, 407, 118, 454, 192, 528, 270, 606, 325, 661, 294, 630, 252, 588, 265, 601, 320, 656, 306, 642, 230, 566, 145, 481, 183, 519, 112, 448)(74, 410, 123, 459, 201, 537, 158, 494, 243, 579, 290, 626, 209, 545, 129, 465, 210, 546, 291, 627, 245, 581, 281, 617, 202, 538, 124, 460)(77, 413, 128, 464, 208, 544, 288, 624, 249, 585, 279, 615, 200, 536, 122, 458, 199, 535, 278, 614, 315, 651, 255, 591, 207, 543, 127, 463)(85, 421, 141, 477, 224, 560, 274, 610, 195, 531, 275, 611, 238, 574, 153, 489, 237, 573, 268, 604, 190, 526, 116, 452, 189, 525, 138, 474)(93, 429, 154, 490, 239, 575, 259, 595, 317, 653, 301, 637, 225, 561, 142, 478, 226, 562, 262, 598, 185, 521, 263, 599, 240, 576, 155, 491)(98, 434, 162, 498, 217, 553, 139, 475, 221, 557, 271, 607, 313, 649, 253, 589, 179, 515, 257, 593, 316, 652, 311, 647, 248, 584, 163, 499)(113, 449, 184, 520, 261, 597, 318, 654, 312, 648, 251, 587, 166, 502, 250, 586, 309, 645, 241, 577, 287, 623, 206, 542, 256, 592, 178, 514)(119, 455, 194, 530, 273, 609, 247, 583, 161, 497, 246, 582, 267, 603, 188, 524, 266, 602, 321, 657, 310, 646, 244, 580, 272, 608, 193, 529)(218, 554, 289, 625, 332, 668, 336, 672, 322, 658, 308, 644, 232, 568, 307, 643, 329, 665, 280, 616, 327, 663, 300, 636, 333, 669, 293, 629)(222, 558, 286, 622, 331, 667, 305, 641, 229, 565, 304, 640, 334, 670, 297, 633, 323, 659, 335, 671, 330, 666, 283, 619, 326, 662, 298, 634)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 673)(4, 681)(5, 684)(6, 674)(7, 688)(8, 685)(9, 676)(10, 691)(11, 694)(12, 677)(13, 680)(14, 695)(15, 700)(16, 679)(17, 702)(18, 705)(19, 682)(20, 707)(21, 710)(22, 683)(23, 686)(24, 711)(25, 716)(26, 717)(27, 720)(28, 687)(29, 721)(30, 689)(31, 725)(32, 728)(33, 690)(34, 731)(35, 692)(36, 733)(37, 736)(38, 693)(39, 696)(40, 737)(41, 742)(42, 743)(43, 746)(44, 697)(45, 698)(46, 749)(47, 752)(48, 699)(49, 701)(50, 753)(51, 757)(52, 760)(53, 703)(54, 762)(55, 765)(56, 704)(57, 766)(58, 770)(59, 706)(60, 773)(61, 708)(62, 775)(63, 778)(64, 709)(65, 712)(66, 779)(67, 784)(68, 785)(69, 788)(70, 713)(71, 714)(72, 791)(73, 794)(74, 715)(75, 795)(76, 799)(77, 718)(78, 801)(79, 804)(80, 719)(81, 722)(82, 805)(83, 810)(84, 811)(85, 723)(86, 814)(87, 817)(88, 724)(89, 820)(90, 726)(91, 822)(92, 825)(93, 727)(94, 729)(95, 826)(96, 830)(97, 833)(98, 730)(99, 834)(100, 838)(101, 732)(102, 841)(103, 734)(104, 843)(105, 844)(106, 735)(107, 738)(108, 845)(109, 850)(110, 851)(111, 854)(112, 739)(113, 740)(114, 857)(115, 860)(116, 741)(117, 861)(118, 865)(119, 744)(120, 867)(121, 870)(122, 745)(123, 747)(124, 871)(125, 875)(126, 878)(127, 748)(128, 881)(129, 750)(130, 883)(131, 884)(132, 751)(133, 754)(134, 885)(135, 889)(136, 890)(137, 863)(138, 755)(139, 756)(140, 894)(141, 897)(142, 758)(143, 899)(144, 901)(145, 759)(146, 855)(147, 904)(148, 761)(149, 907)(150, 763)(151, 846)(152, 908)(153, 764)(154, 767)(155, 909)(156, 873)(157, 913)(158, 768)(159, 916)(160, 917)(161, 769)(162, 771)(163, 918)(164, 888)(165, 921)(166, 772)(167, 922)(168, 924)(169, 774)(170, 869)(171, 776)(172, 777)(173, 780)(174, 823)(175, 925)(176, 926)(177, 927)(178, 781)(179, 782)(180, 930)(181, 931)(182, 783)(183, 818)(184, 934)(185, 786)(186, 936)(187, 937)(188, 787)(189, 789)(190, 938)(191, 809)(192, 943)(193, 790)(194, 946)(195, 792)(196, 948)(197, 842)(198, 793)(199, 796)(200, 949)(201, 828)(202, 952)(203, 797)(204, 955)(205, 958)(206, 798)(207, 928)(208, 961)(209, 800)(210, 964)(211, 802)(212, 803)(213, 806)(214, 965)(215, 966)(216, 836)(217, 807)(218, 808)(219, 960)(220, 969)(221, 970)(222, 812)(223, 957)(224, 972)(225, 813)(226, 974)(227, 815)(228, 975)(229, 816)(230, 976)(231, 935)(232, 819)(233, 979)(234, 929)(235, 821)(236, 824)(237, 827)(238, 971)(239, 981)(240, 980)(241, 829)(242, 977)(243, 982)(244, 831)(245, 832)(246, 835)(247, 953)(248, 978)(249, 837)(250, 839)(251, 951)(252, 840)(253, 847)(254, 848)(255, 849)(256, 879)(257, 906)(258, 852)(259, 853)(260, 989)(261, 991)(262, 856)(263, 903)(264, 858)(265, 859)(266, 862)(267, 992)(268, 994)(269, 995)(270, 998)(271, 864)(272, 985)(273, 999)(274, 866)(275, 1000)(276, 868)(277, 872)(278, 1001)(279, 923)(280, 874)(281, 919)(282, 1002)(283, 876)(284, 997)(285, 895)(286, 877)(287, 1003)(288, 891)(289, 880)(290, 1004)(291, 986)(292, 882)(293, 886)(294, 887)(295, 987)(296, 988)(297, 892)(298, 893)(299, 910)(300, 896)(301, 1005)(302, 898)(303, 900)(304, 902)(305, 914)(306, 920)(307, 905)(308, 912)(309, 911)(310, 915)(311, 1006)(312, 996)(313, 944)(314, 963)(315, 967)(316, 968)(317, 932)(318, 1007)(319, 933)(320, 939)(321, 1008)(322, 940)(323, 941)(324, 984)(325, 956)(326, 942)(327, 945)(328, 947)(329, 950)(330, 954)(331, 959)(332, 962)(333, 973)(334, 983)(335, 990)(336, 993)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 6 ), ( 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2310
Graph:: simple bipartite
	v = 360 e = 672 f = 280
	degree seq :: [ 2^336, 28^24 ]

E17.2314 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 14})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1 * R)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y2 * Y1)^3, Y2^14, Y2^-2 * R * Y2^-1 * Y1 * Y2^5 * R * Y2 * Y1 * Y2^-3, Y1 * Y2^3 * Y1 * Y2^3 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^2, (Y2^-7 * Y1)^2, (Y2^2 * Y1 * Y2^-2 * Y1)^3, (Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-2)^2 ]
Map::
	R = (1, 337, 2, 338)(3, 339, 7, 343)(4, 340, 9, 345)(5, 341, 11, 347)(6, 342, 13, 349)(8, 344, 16, 352)(10, 346, 19, 355)(12, 348, 22, 358)(14, 350, 25, 361)(15, 351, 27, 363)(17, 353, 30, 366)(18, 354, 32, 368)(20, 356, 35, 371)(21, 357, 37, 373)(23, 359, 40, 376)(24, 360, 42, 378)(26, 362, 45, 381)(28, 364, 48, 384)(29, 365, 50, 386)(31, 367, 53, 389)(33, 369, 56, 392)(34, 370, 58, 394)(36, 372, 61, 397)(38, 374, 64, 400)(39, 375, 66, 402)(41, 377, 69, 405)(43, 379, 72, 408)(44, 380, 74, 410)(46, 382, 77, 413)(47, 383, 79, 415)(49, 385, 82, 418)(51, 387, 85, 421)(52, 388, 87, 423)(54, 390, 90, 426)(55, 391, 92, 428)(57, 393, 95, 431)(59, 395, 98, 434)(60, 396, 100, 436)(62, 398, 103, 439)(63, 399, 105, 441)(65, 401, 108, 444)(67, 403, 111, 447)(68, 404, 113, 449)(70, 406, 116, 452)(71, 407, 118, 454)(73, 409, 121, 457)(75, 411, 124, 460)(76, 412, 126, 462)(78, 414, 129, 465)(80, 416, 132, 468)(81, 417, 134, 470)(83, 419, 137, 473)(84, 420, 139, 475)(86, 422, 142, 478)(88, 424, 145, 481)(89, 425, 147, 483)(91, 427, 150, 486)(93, 429, 153, 489)(94, 430, 155, 491)(96, 432, 158, 494)(97, 433, 160, 496)(99, 435, 163, 499)(101, 437, 166, 502)(102, 438, 168, 504)(104, 440, 171, 507)(106, 442, 173, 509)(107, 443, 175, 511)(109, 445, 178, 514)(110, 446, 180, 516)(112, 448, 183, 519)(114, 450, 186, 522)(115, 451, 188, 524)(117, 453, 191, 527)(119, 455, 194, 530)(120, 456, 196, 532)(122, 458, 199, 535)(123, 459, 201, 537)(125, 461, 204, 540)(127, 463, 207, 543)(128, 464, 209, 545)(130, 466, 212, 548)(131, 467, 172, 508)(133, 469, 214, 550)(135, 471, 217, 553)(136, 472, 219, 555)(138, 474, 190, 526)(140, 476, 202, 538)(141, 477, 223, 559)(143, 479, 226, 562)(144, 480, 228, 564)(146, 482, 231, 567)(148, 484, 234, 570)(149, 485, 179, 515)(151, 487, 192, 528)(152, 488, 193, 529)(154, 490, 238, 574)(156, 492, 240, 576)(157, 493, 242, 578)(159, 495, 211, 547)(161, 497, 181, 517)(162, 498, 245, 581)(164, 500, 248, 584)(165, 501, 249, 585)(167, 503, 251, 587)(169, 505, 252, 588)(170, 506, 200, 536)(174, 510, 254, 590)(176, 512, 257, 593)(177, 513, 259, 595)(182, 518, 263, 599)(184, 520, 266, 602)(185, 521, 268, 604)(187, 523, 271, 607)(189, 525, 274, 610)(195, 531, 278, 614)(197, 533, 280, 616)(198, 534, 282, 618)(203, 539, 285, 621)(205, 541, 288, 624)(206, 542, 289, 625)(208, 544, 291, 627)(210, 546, 292, 628)(213, 549, 293, 629)(215, 551, 296, 632)(216, 552, 297, 633)(218, 554, 265, 601)(220, 556, 270, 606)(221, 557, 276, 612)(222, 558, 302, 638)(224, 560, 264, 600)(225, 561, 258, 594)(227, 563, 284, 620)(229, 565, 298, 634)(230, 566, 260, 596)(232, 568, 275, 611)(233, 569, 308, 644)(235, 571, 272, 608)(236, 572, 261, 597)(237, 573, 309, 645)(239, 575, 310, 646)(241, 577, 287, 623)(243, 579, 290, 626)(244, 580, 267, 603)(246, 582, 286, 622)(247, 583, 281, 617)(250, 586, 283, 619)(253, 589, 313, 649)(255, 591, 316, 652)(256, 592, 317, 653)(262, 598, 322, 658)(269, 605, 318, 654)(273, 609, 328, 664)(277, 613, 329, 665)(279, 615, 330, 666)(294, 630, 332, 668)(295, 631, 331, 667)(299, 635, 325, 661)(300, 636, 327, 663)(301, 637, 321, 657)(303, 639, 324, 660)(304, 640, 323, 659)(305, 641, 319, 655)(306, 642, 326, 662)(307, 643, 320, 656)(311, 647, 315, 651)(312, 648, 314, 650)(333, 669, 336, 672)(334, 670, 335, 671)(673, 1009, 675, 1011, 680, 1016, 689, 1025, 703, 1039, 726, 1062, 763, 1099, 823, 1159, 776, 1112, 734, 1070, 708, 1044, 692, 1028, 682, 1018, 676, 1012)(674, 1010, 677, 1013, 684, 1020, 695, 1031, 713, 1049, 742, 1078, 789, 1125, 864, 1200, 802, 1138, 750, 1086, 718, 1054, 698, 1034, 686, 1022, 678, 1014)(679, 1015, 685, 1021, 696, 1032, 715, 1051, 745, 1081, 794, 1130, 872, 1208, 843, 1179, 863, 1199, 810, 1146, 755, 1091, 721, 1057, 700, 1036, 687, 1023)(681, 1017, 690, 1026, 705, 1041, 729, 1065, 768, 1104, 831, 1167, 884, 1220, 822, 1158, 851, 1187, 781, 1117, 737, 1073, 710, 1046, 693, 1029, 683, 1019)(688, 1024, 699, 1035, 719, 1055, 752, 1088, 805, 1141, 887, 1223, 840, 1176, 775, 1111, 842, 1178, 899, 1235, 815, 1151, 758, 1094, 723, 1059, 701, 1037)(691, 1027, 706, 1042, 731, 1067, 771, 1107, 836, 1172, 908, 1244, 821, 1157, 762, 1098, 819, 1155, 905, 1241, 826, 1162, 765, 1101, 727, 1063, 704, 1040)(694, 1030, 709, 1045, 735, 1071, 778, 1114, 846, 1182, 927, 1263, 881, 1217, 801, 1137, 883, 1219, 939, 1275, 856, 1192, 784, 1120, 739, 1075, 711, 1047)(697, 1033, 716, 1052, 747, 1083, 797, 1133, 877, 1213, 948, 1284, 862, 1198, 788, 1124, 860, 1196, 945, 1281, 867, 1203, 791, 1127, 743, 1079, 714, 1050)(702, 1038, 722, 1058, 756, 1092, 812, 1148, 894, 1230, 837, 1173, 772, 1108, 733, 1069, 774, 1110, 841, 1177, 904, 1240, 818, 1154, 760, 1096, 724, 1060)(707, 1043, 732, 1068, 773, 1109, 839, 1175, 907, 1243, 820, 1156, 761, 1097, 725, 1061, 759, 1095, 816, 1152, 901, 1237, 833, 1169, 769, 1105, 730, 1066)(712, 1048, 738, 1074, 782, 1118, 853, 1189, 934, 1270, 878, 1214, 798, 1134, 749, 1085, 800, 1136, 882, 1218, 944, 1280, 859, 1195, 786, 1122, 740, 1076)(717, 1053, 748, 1084, 799, 1135, 880, 1216, 947, 1283, 861, 1197, 787, 1123, 741, 1077, 785, 1121, 857, 1193, 941, 1277, 874, 1210, 795, 1131, 746, 1082)(720, 1056, 753, 1089, 807, 1143, 890, 1226, 938, 1274, 998, 1334, 956, 1292, 871, 1207, 954, 1290, 986, 1322, 925, 1261, 845, 1181, 803, 1139, 751, 1087)(728, 1064, 764, 1100, 824, 1160, 866, 1202, 949, 1285, 992, 1328, 931, 1267, 850, 1186, 933, 1269, 993, 1329, 960, 1296, 913, 1249, 828, 1164, 766, 1102)(736, 1072, 779, 1115, 848, 1184, 930, 1266, 898, 1234, 978, 1314, 916, 1252, 830, 1166, 914, 1250, 966, 1302, 885, 1221, 804, 1140, 844, 1180, 777, 1113)(744, 1080, 790, 1126, 865, 1201, 825, 1161, 909, 1245, 972, 1308, 891, 1227, 809, 1145, 893, 1229, 973, 1309, 920, 1256, 953, 1289, 869, 1205, 792, 1128)(754, 1090, 808, 1144, 892, 1228, 943, 1279, 923, 1259, 955, 1291, 870, 1206, 793, 1129, 868, 1204, 951, 1287, 994, 1330, 970, 1306, 888, 1224, 806, 1142)(757, 1093, 813, 1149, 896, 1232, 976, 1312, 1000, 1336, 946, 1282, 924, 1260, 968, 1304, 1003, 1339, 958, 1294, 875, 1211, 796, 1132, 873, 1209, 811, 1147)(767, 1103, 827, 1163, 911, 1247, 974, 1310, 990, 1326, 928, 1264, 847, 1183, 780, 1116, 849, 1185, 932, 1268, 903, 1239, 963, 1299, 915, 1251, 829, 1165)(770, 1106, 832, 1168, 852, 1188, 783, 1119, 854, 1190, 936, 1272, 996, 1332, 980, 1316, 906, 1242, 964, 1300, 988, 1324, 983, 1319, 918, 1254, 834, 1170)(814, 1150, 897, 1233, 977, 1313, 919, 1255, 835, 1171, 917, 1253, 967, 1303, 886, 1222, 965, 1301, 1005, 1341, 981, 1317, 910, 1246, 975, 1311, 895, 1231)(817, 1153, 902, 1238, 979, 1315, 1006, 1342, 984, 1320, 922, 1258, 838, 1174, 921, 1257, 982, 1318, 912, 1248, 971, 1307, 889, 1225, 969, 1305, 900, 1236)(855, 1191, 937, 1273, 997, 1333, 959, 1295, 876, 1212, 957, 1293, 987, 1323, 926, 1262, 985, 1321, 1007, 1343, 1001, 1337, 950, 1286, 995, 1331, 935, 1271)(858, 1194, 942, 1278, 999, 1335, 1008, 1344, 1004, 1340, 962, 1298, 879, 1215, 961, 1297, 1002, 1338, 952, 1288, 991, 1327, 929, 1265, 989, 1325, 940, 1276)
	L = (1, 674)(2, 673)(3, 679)(4, 681)(5, 683)(6, 685)(7, 675)(8, 688)(9, 676)(10, 691)(11, 677)(12, 694)(13, 678)(14, 697)(15, 699)(16, 680)(17, 702)(18, 704)(19, 682)(20, 707)(21, 709)(22, 684)(23, 712)(24, 714)(25, 686)(26, 717)(27, 687)(28, 720)(29, 722)(30, 689)(31, 725)(32, 690)(33, 728)(34, 730)(35, 692)(36, 733)(37, 693)(38, 736)(39, 738)(40, 695)(41, 741)(42, 696)(43, 744)(44, 746)(45, 698)(46, 749)(47, 751)(48, 700)(49, 754)(50, 701)(51, 757)(52, 759)(53, 703)(54, 762)(55, 764)(56, 705)(57, 767)(58, 706)(59, 770)(60, 772)(61, 708)(62, 775)(63, 777)(64, 710)(65, 780)(66, 711)(67, 783)(68, 785)(69, 713)(70, 788)(71, 790)(72, 715)(73, 793)(74, 716)(75, 796)(76, 798)(77, 718)(78, 801)(79, 719)(80, 804)(81, 806)(82, 721)(83, 809)(84, 811)(85, 723)(86, 814)(87, 724)(88, 817)(89, 819)(90, 726)(91, 822)(92, 727)(93, 825)(94, 827)(95, 729)(96, 830)(97, 832)(98, 731)(99, 835)(100, 732)(101, 838)(102, 840)(103, 734)(104, 843)(105, 735)(106, 845)(107, 847)(108, 737)(109, 850)(110, 852)(111, 739)(112, 855)(113, 740)(114, 858)(115, 860)(116, 742)(117, 863)(118, 743)(119, 866)(120, 868)(121, 745)(122, 871)(123, 873)(124, 747)(125, 876)(126, 748)(127, 879)(128, 881)(129, 750)(130, 884)(131, 844)(132, 752)(133, 886)(134, 753)(135, 889)(136, 891)(137, 755)(138, 862)(139, 756)(140, 874)(141, 895)(142, 758)(143, 898)(144, 900)(145, 760)(146, 903)(147, 761)(148, 906)(149, 851)(150, 763)(151, 864)(152, 865)(153, 765)(154, 910)(155, 766)(156, 912)(157, 914)(158, 768)(159, 883)(160, 769)(161, 853)(162, 917)(163, 771)(164, 920)(165, 921)(166, 773)(167, 923)(168, 774)(169, 924)(170, 872)(171, 776)(172, 803)(173, 778)(174, 926)(175, 779)(176, 929)(177, 931)(178, 781)(179, 821)(180, 782)(181, 833)(182, 935)(183, 784)(184, 938)(185, 940)(186, 786)(187, 943)(188, 787)(189, 946)(190, 810)(191, 789)(192, 823)(193, 824)(194, 791)(195, 950)(196, 792)(197, 952)(198, 954)(199, 794)(200, 842)(201, 795)(202, 812)(203, 957)(204, 797)(205, 960)(206, 961)(207, 799)(208, 963)(209, 800)(210, 964)(211, 831)(212, 802)(213, 965)(214, 805)(215, 968)(216, 969)(217, 807)(218, 937)(219, 808)(220, 942)(221, 948)(222, 974)(223, 813)(224, 936)(225, 930)(226, 815)(227, 956)(228, 816)(229, 970)(230, 932)(231, 818)(232, 947)(233, 980)(234, 820)(235, 944)(236, 933)(237, 981)(238, 826)(239, 982)(240, 828)(241, 959)(242, 829)(243, 962)(244, 939)(245, 834)(246, 958)(247, 953)(248, 836)(249, 837)(250, 955)(251, 839)(252, 841)(253, 985)(254, 846)(255, 988)(256, 989)(257, 848)(258, 897)(259, 849)(260, 902)(261, 908)(262, 994)(263, 854)(264, 896)(265, 890)(266, 856)(267, 916)(268, 857)(269, 990)(270, 892)(271, 859)(272, 907)(273, 1000)(274, 861)(275, 904)(276, 893)(277, 1001)(278, 867)(279, 1002)(280, 869)(281, 919)(282, 870)(283, 922)(284, 899)(285, 875)(286, 918)(287, 913)(288, 877)(289, 878)(290, 915)(291, 880)(292, 882)(293, 885)(294, 1004)(295, 1003)(296, 887)(297, 888)(298, 901)(299, 997)(300, 999)(301, 993)(302, 894)(303, 996)(304, 995)(305, 991)(306, 998)(307, 992)(308, 905)(309, 909)(310, 911)(311, 987)(312, 986)(313, 925)(314, 984)(315, 983)(316, 927)(317, 928)(318, 941)(319, 977)(320, 979)(321, 973)(322, 934)(323, 976)(324, 975)(325, 971)(326, 978)(327, 972)(328, 945)(329, 949)(330, 951)(331, 967)(332, 966)(333, 1008)(334, 1007)(335, 1006)(336, 1005)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2315
Graph:: bipartite
	v = 192 e = 672 f = 448
	degree seq :: [ 4^168, 28^24 ]

E17.2315 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 14})
Quotient :: dipole
Aut^+ = C2 x PSL(3,2) (small group id <336, 209>)
Aut   = $<672, 1254>$ (small group id <672, 1254>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y1 * Y3)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3^-2 * Y1)^4, (Y3^2 * Y1^-1 * Y3^4)^2, Y3^-1 * Y1 * Y3^3 * Y1^-1 * Y3^3 * Y1 * Y3^-3 * Y1 * Y3^-2, (Y3 * Y2^-1)^14 ]
Map:: polytopal
	R = (1, 337, 2, 338, 4, 340)(3, 339, 8, 344, 10, 346)(5, 341, 12, 348, 6, 342)(7, 343, 15, 351, 11, 347)(9, 345, 18, 354, 20, 356)(13, 349, 25, 361, 23, 359)(14, 350, 24, 360, 28, 364)(16, 352, 31, 367, 29, 365)(17, 353, 33, 369, 21, 357)(19, 355, 36, 372, 38, 374)(22, 358, 30, 366, 42, 378)(26, 362, 47, 383, 45, 381)(27, 363, 49, 385, 51, 387)(32, 368, 57, 393, 55, 391)(34, 370, 61, 397, 59, 395)(35, 371, 63, 399, 39, 375)(37, 373, 66, 402, 68, 404)(40, 376, 60, 396, 72, 408)(41, 377, 73, 409, 75, 411)(43, 379, 46, 382, 78, 414)(44, 380, 79, 415, 52, 388)(48, 384, 85, 421, 83, 419)(50, 386, 88, 424, 90, 426)(53, 389, 56, 392, 94, 430)(54, 390, 95, 431, 76, 412)(58, 394, 101, 437, 99, 435)(62, 398, 107, 443, 105, 441)(64, 400, 111, 447, 109, 445)(65, 401, 113, 449, 69, 405)(67, 403, 116, 452, 118, 454)(70, 406, 110, 446, 98, 434)(71, 407, 122, 458, 124, 460)(74, 410, 127, 463, 129, 465)(77, 413, 132, 468, 134, 470)(80, 416, 137, 473, 136, 472)(81, 417, 84, 420, 140, 476)(82, 418, 131, 467, 135, 471)(86, 422, 146, 482, 144, 480)(87, 423, 148, 484, 91, 427)(89, 425, 151, 487, 153, 489)(92, 428, 125, 461, 104, 440)(93, 429, 157, 493, 159, 495)(96, 432, 161, 497, 160, 496)(97, 433, 100, 436, 164, 500)(102, 438, 170, 506, 168, 504)(103, 439, 106, 442, 173, 509)(108, 444, 179, 515, 177, 513)(112, 448, 184, 520, 182, 518)(114, 450, 188, 524, 186, 522)(115, 451, 190, 526, 119, 455)(117, 453, 193, 529, 171, 507)(120, 456, 187, 523, 176, 512)(121, 457, 165, 501, 199, 535)(123, 459, 201, 537, 203, 539)(126, 462, 205, 541, 130, 466)(128, 464, 208, 544, 210, 546)(133, 469, 215, 551, 217, 553)(138, 474, 222, 558, 220, 556)(139, 475, 223, 559, 225, 561)(141, 477, 227, 563, 213, 549)(142, 478, 145, 481, 229, 565)(143, 479, 155, 491, 226, 562)(147, 483, 209, 545, 231, 567)(149, 485, 233, 569, 232, 568)(150, 486, 235, 571, 154, 490)(152, 488, 238, 574, 180, 516)(156, 492, 174, 510, 244, 580)(158, 494, 246, 582, 248, 584)(162, 498, 253, 589, 251, 587)(163, 499, 254, 590, 256, 592)(166, 502, 169, 505, 259, 595)(167, 503, 212, 548, 257, 593)(172, 508, 261, 597, 263, 599)(175, 511, 178, 514, 266, 602)(181, 517, 183, 519, 272, 608)(185, 521, 277, 613, 275, 611)(189, 525, 255, 591, 279, 615)(191, 527, 258, 594, 282, 618)(192, 528, 285, 621, 195, 531)(194, 530, 239, 575, 270, 606)(196, 532, 283, 619, 274, 610)(197, 533, 267, 603, 242, 578)(198, 534, 287, 623, 288, 624)(200, 536, 290, 626, 204, 540)(202, 538, 293, 629, 230, 566)(206, 542, 297, 633, 296, 632)(207, 543, 299, 635, 211, 547)(214, 550, 301, 637, 218, 554)(216, 552, 304, 640, 260, 596)(219, 555, 221, 557, 305, 641)(224, 560, 308, 644, 298, 634)(228, 564, 309, 645, 300, 636)(234, 570, 262, 598, 311, 647)(236, 572, 265, 601, 314, 650)(237, 573, 317, 653, 240, 576)(241, 577, 315, 651, 289, 625)(243, 579, 319, 655, 320, 656)(245, 581, 322, 658, 249, 585)(247, 583, 324, 660, 268, 604)(250, 586, 252, 588, 325, 661)(264, 600, 329, 665, 321, 657)(269, 605, 295, 631, 331, 667)(271, 607, 310, 646, 312, 648)(273, 609, 276, 612, 333, 669)(278, 614, 280, 616, 306, 642)(281, 617, 335, 671, 318, 654)(284, 620, 330, 666, 316, 652)(286, 622, 332, 668, 336, 672)(291, 627, 303, 639, 326, 662)(292, 628, 307, 643, 294, 630)(302, 638, 323, 659, 327, 663)(313, 649, 334, 670, 328, 664)(673, 1009)(674, 1010)(675, 1011)(676, 1012)(677, 1013)(678, 1014)(679, 1015)(680, 1016)(681, 1017)(682, 1018)(683, 1019)(684, 1020)(685, 1021)(686, 1022)(687, 1023)(688, 1024)(689, 1025)(690, 1026)(691, 1027)(692, 1028)(693, 1029)(694, 1030)(695, 1031)(696, 1032)(697, 1033)(698, 1034)(699, 1035)(700, 1036)(701, 1037)(702, 1038)(703, 1039)(704, 1040)(705, 1041)(706, 1042)(707, 1043)(708, 1044)(709, 1045)(710, 1046)(711, 1047)(712, 1048)(713, 1049)(714, 1050)(715, 1051)(716, 1052)(717, 1053)(718, 1054)(719, 1055)(720, 1056)(721, 1057)(722, 1058)(723, 1059)(724, 1060)(725, 1061)(726, 1062)(727, 1063)(728, 1064)(729, 1065)(730, 1066)(731, 1067)(732, 1068)(733, 1069)(734, 1070)(735, 1071)(736, 1072)(737, 1073)(738, 1074)(739, 1075)(740, 1076)(741, 1077)(742, 1078)(743, 1079)(744, 1080)(745, 1081)(746, 1082)(747, 1083)(748, 1084)(749, 1085)(750, 1086)(751, 1087)(752, 1088)(753, 1089)(754, 1090)(755, 1091)(756, 1092)(757, 1093)(758, 1094)(759, 1095)(760, 1096)(761, 1097)(762, 1098)(763, 1099)(764, 1100)(765, 1101)(766, 1102)(767, 1103)(768, 1104)(769, 1105)(770, 1106)(771, 1107)(772, 1108)(773, 1109)(774, 1110)(775, 1111)(776, 1112)(777, 1113)(778, 1114)(779, 1115)(780, 1116)(781, 1117)(782, 1118)(783, 1119)(784, 1120)(785, 1121)(786, 1122)(787, 1123)(788, 1124)(789, 1125)(790, 1126)(791, 1127)(792, 1128)(793, 1129)(794, 1130)(795, 1131)(796, 1132)(797, 1133)(798, 1134)(799, 1135)(800, 1136)(801, 1137)(802, 1138)(803, 1139)(804, 1140)(805, 1141)(806, 1142)(807, 1143)(808, 1144)(809, 1145)(810, 1146)(811, 1147)(812, 1148)(813, 1149)(814, 1150)(815, 1151)(816, 1152)(817, 1153)(818, 1154)(819, 1155)(820, 1156)(821, 1157)(822, 1158)(823, 1159)(824, 1160)(825, 1161)(826, 1162)(827, 1163)(828, 1164)(829, 1165)(830, 1166)(831, 1167)(832, 1168)(833, 1169)(834, 1170)(835, 1171)(836, 1172)(837, 1173)(838, 1174)(839, 1175)(840, 1176)(841, 1177)(842, 1178)(843, 1179)(844, 1180)(845, 1181)(846, 1182)(847, 1183)(848, 1184)(849, 1185)(850, 1186)(851, 1187)(852, 1188)(853, 1189)(854, 1190)(855, 1191)(856, 1192)(857, 1193)(858, 1194)(859, 1195)(860, 1196)(861, 1197)(862, 1198)(863, 1199)(864, 1200)(865, 1201)(866, 1202)(867, 1203)(868, 1204)(869, 1205)(870, 1206)(871, 1207)(872, 1208)(873, 1209)(874, 1210)(875, 1211)(876, 1212)(877, 1213)(878, 1214)(879, 1215)(880, 1216)(881, 1217)(882, 1218)(883, 1219)(884, 1220)(885, 1221)(886, 1222)(887, 1223)(888, 1224)(889, 1225)(890, 1226)(891, 1227)(892, 1228)(893, 1229)(894, 1230)(895, 1231)(896, 1232)(897, 1233)(898, 1234)(899, 1235)(900, 1236)(901, 1237)(902, 1238)(903, 1239)(904, 1240)(905, 1241)(906, 1242)(907, 1243)(908, 1244)(909, 1245)(910, 1246)(911, 1247)(912, 1248)(913, 1249)(914, 1250)(915, 1251)(916, 1252)(917, 1253)(918, 1254)(919, 1255)(920, 1256)(921, 1257)(922, 1258)(923, 1259)(924, 1260)(925, 1261)(926, 1262)(927, 1263)(928, 1264)(929, 1265)(930, 1266)(931, 1267)(932, 1268)(933, 1269)(934, 1270)(935, 1271)(936, 1272)(937, 1273)(938, 1274)(939, 1275)(940, 1276)(941, 1277)(942, 1278)(943, 1279)(944, 1280)(945, 1281)(946, 1282)(947, 1283)(948, 1284)(949, 1285)(950, 1286)(951, 1287)(952, 1288)(953, 1289)(954, 1290)(955, 1291)(956, 1292)(957, 1293)(958, 1294)(959, 1295)(960, 1296)(961, 1297)(962, 1298)(963, 1299)(964, 1300)(965, 1301)(966, 1302)(967, 1303)(968, 1304)(969, 1305)(970, 1306)(971, 1307)(972, 1308)(973, 1309)(974, 1310)(975, 1311)(976, 1312)(977, 1313)(978, 1314)(979, 1315)(980, 1316)(981, 1317)(982, 1318)(983, 1319)(984, 1320)(985, 1321)(986, 1322)(987, 1323)(988, 1324)(989, 1325)(990, 1326)(991, 1327)(992, 1328)(993, 1329)(994, 1330)(995, 1331)(996, 1332)(997, 1333)(998, 1334)(999, 1335)(1000, 1336)(1001, 1337)(1002, 1338)(1003, 1339)(1004, 1340)(1005, 1341)(1006, 1342)(1007, 1343)(1008, 1344)
	L = (1, 675)(2, 678)(3, 681)(4, 683)(5, 673)(6, 686)(7, 674)(8, 676)(9, 691)(10, 693)(11, 694)(12, 695)(13, 677)(14, 699)(15, 701)(16, 679)(17, 680)(18, 682)(19, 709)(20, 711)(21, 712)(22, 713)(23, 715)(24, 684)(25, 717)(26, 685)(27, 722)(28, 724)(29, 725)(30, 687)(31, 727)(32, 688)(33, 731)(34, 689)(35, 690)(36, 692)(37, 739)(38, 741)(39, 742)(40, 743)(41, 746)(42, 748)(43, 749)(44, 696)(45, 753)(46, 697)(47, 755)(48, 698)(49, 700)(50, 761)(51, 763)(52, 764)(53, 765)(54, 702)(55, 769)(56, 703)(57, 771)(58, 704)(59, 775)(60, 705)(61, 777)(62, 706)(63, 781)(64, 707)(65, 708)(66, 710)(67, 789)(68, 791)(69, 792)(70, 793)(71, 795)(72, 797)(73, 714)(74, 800)(75, 802)(76, 803)(77, 805)(78, 807)(79, 808)(80, 716)(81, 811)(82, 718)(83, 814)(84, 719)(85, 816)(86, 720)(87, 721)(88, 723)(89, 824)(90, 826)(91, 827)(92, 828)(93, 830)(94, 782)(95, 832)(96, 726)(97, 835)(98, 728)(99, 838)(100, 729)(101, 840)(102, 730)(103, 844)(104, 732)(105, 847)(106, 733)(107, 849)(108, 734)(109, 853)(110, 735)(111, 854)(112, 736)(113, 858)(114, 737)(115, 738)(116, 740)(117, 866)(118, 867)(119, 868)(120, 869)(121, 870)(122, 744)(123, 874)(124, 876)(125, 751)(126, 745)(127, 747)(128, 881)(129, 883)(130, 884)(131, 885)(132, 750)(133, 888)(134, 890)(135, 767)(136, 891)(137, 892)(138, 752)(139, 896)(140, 898)(141, 754)(142, 900)(143, 756)(144, 902)(145, 757)(146, 903)(147, 758)(148, 904)(149, 759)(150, 760)(151, 762)(152, 911)(153, 912)(154, 913)(155, 914)(156, 915)(157, 766)(158, 919)(159, 921)(160, 922)(161, 923)(162, 768)(163, 927)(164, 929)(165, 770)(166, 930)(167, 772)(168, 932)(169, 773)(170, 865)(171, 774)(172, 934)(173, 859)(174, 776)(175, 937)(176, 778)(177, 940)(178, 779)(179, 910)(180, 780)(181, 943)(182, 945)(183, 783)(184, 947)(185, 784)(186, 950)(187, 785)(188, 951)(189, 786)(190, 954)(191, 787)(192, 788)(193, 790)(194, 819)(195, 810)(196, 813)(197, 815)(198, 817)(199, 961)(200, 794)(201, 796)(202, 818)(203, 966)(204, 967)(205, 968)(206, 798)(207, 799)(208, 801)(209, 942)(210, 857)(211, 936)(212, 939)(213, 941)(214, 804)(215, 806)(216, 842)(217, 963)(218, 959)(219, 948)(220, 952)(221, 809)(222, 957)(223, 812)(224, 958)(225, 964)(226, 820)(227, 946)(228, 956)(229, 960)(230, 953)(231, 882)(232, 982)(233, 983)(234, 821)(235, 986)(236, 822)(237, 823)(238, 825)(239, 843)(240, 834)(241, 837)(242, 839)(243, 841)(244, 993)(245, 829)(246, 831)(247, 851)(248, 974)(249, 991)(250, 978)(251, 984)(252, 833)(253, 989)(254, 836)(255, 990)(256, 975)(257, 877)(258, 988)(259, 992)(260, 985)(261, 845)(262, 1000)(263, 995)(264, 846)(265, 1002)(266, 1003)(267, 848)(268, 1004)(269, 850)(270, 852)(271, 925)(272, 955)(273, 969)(274, 855)(275, 1006)(276, 856)(277, 880)(278, 997)(279, 928)(280, 860)(281, 861)(282, 931)(283, 862)(284, 863)(285, 1008)(286, 864)(287, 871)(288, 973)(289, 893)(290, 998)(291, 872)(292, 873)(293, 875)(294, 917)(295, 899)(296, 1005)(297, 980)(298, 878)(299, 981)(300, 879)(301, 999)(302, 886)(303, 887)(304, 889)(305, 987)(306, 894)(307, 895)(308, 897)(309, 901)(310, 944)(311, 935)(312, 905)(313, 906)(314, 938)(315, 907)(316, 908)(317, 1007)(318, 909)(319, 916)(320, 994)(321, 924)(322, 979)(323, 918)(324, 920)(325, 1001)(326, 926)(327, 933)(328, 949)(329, 971)(330, 972)(331, 962)(332, 970)(333, 977)(334, 976)(335, 965)(336, 996)(337, 1009)(338, 1010)(339, 1011)(340, 1012)(341, 1013)(342, 1014)(343, 1015)(344, 1016)(345, 1017)(346, 1018)(347, 1019)(348, 1020)(349, 1021)(350, 1022)(351, 1023)(352, 1024)(353, 1025)(354, 1026)(355, 1027)(356, 1028)(357, 1029)(358, 1030)(359, 1031)(360, 1032)(361, 1033)(362, 1034)(363, 1035)(364, 1036)(365, 1037)(366, 1038)(367, 1039)(368, 1040)(369, 1041)(370, 1042)(371, 1043)(372, 1044)(373, 1045)(374, 1046)(375, 1047)(376, 1048)(377, 1049)(378, 1050)(379, 1051)(380, 1052)(381, 1053)(382, 1054)(383, 1055)(384, 1056)(385, 1057)(386, 1058)(387, 1059)(388, 1060)(389, 1061)(390, 1062)(391, 1063)(392, 1064)(393, 1065)(394, 1066)(395, 1067)(396, 1068)(397, 1069)(398, 1070)(399, 1071)(400, 1072)(401, 1073)(402, 1074)(403, 1075)(404, 1076)(405, 1077)(406, 1078)(407, 1079)(408, 1080)(409, 1081)(410, 1082)(411, 1083)(412, 1084)(413, 1085)(414, 1086)(415, 1087)(416, 1088)(417, 1089)(418, 1090)(419, 1091)(420, 1092)(421, 1093)(422, 1094)(423, 1095)(424, 1096)(425, 1097)(426, 1098)(427, 1099)(428, 1100)(429, 1101)(430, 1102)(431, 1103)(432, 1104)(433, 1105)(434, 1106)(435, 1107)(436, 1108)(437, 1109)(438, 1110)(439, 1111)(440, 1112)(441, 1113)(442, 1114)(443, 1115)(444, 1116)(445, 1117)(446, 1118)(447, 1119)(448, 1120)(449, 1121)(450, 1122)(451, 1123)(452, 1124)(453, 1125)(454, 1126)(455, 1127)(456, 1128)(457, 1129)(458, 1130)(459, 1131)(460, 1132)(461, 1133)(462, 1134)(463, 1135)(464, 1136)(465, 1137)(466, 1138)(467, 1139)(468, 1140)(469, 1141)(470, 1142)(471, 1143)(472, 1144)(473, 1145)(474, 1146)(475, 1147)(476, 1148)(477, 1149)(478, 1150)(479, 1151)(480, 1152)(481, 1153)(482, 1154)(483, 1155)(484, 1156)(485, 1157)(486, 1158)(487, 1159)(488, 1160)(489, 1161)(490, 1162)(491, 1163)(492, 1164)(493, 1165)(494, 1166)(495, 1167)(496, 1168)(497, 1169)(498, 1170)(499, 1171)(500, 1172)(501, 1173)(502, 1174)(503, 1175)(504, 1176)(505, 1177)(506, 1178)(507, 1179)(508, 1180)(509, 1181)(510, 1182)(511, 1183)(512, 1184)(513, 1185)(514, 1186)(515, 1187)(516, 1188)(517, 1189)(518, 1190)(519, 1191)(520, 1192)(521, 1193)(522, 1194)(523, 1195)(524, 1196)(525, 1197)(526, 1198)(527, 1199)(528, 1200)(529, 1201)(530, 1202)(531, 1203)(532, 1204)(533, 1205)(534, 1206)(535, 1207)(536, 1208)(537, 1209)(538, 1210)(539, 1211)(540, 1212)(541, 1213)(542, 1214)(543, 1215)(544, 1216)(545, 1217)(546, 1218)(547, 1219)(548, 1220)(549, 1221)(550, 1222)(551, 1223)(552, 1224)(553, 1225)(554, 1226)(555, 1227)(556, 1228)(557, 1229)(558, 1230)(559, 1231)(560, 1232)(561, 1233)(562, 1234)(563, 1235)(564, 1236)(565, 1237)(566, 1238)(567, 1239)(568, 1240)(569, 1241)(570, 1242)(571, 1243)(572, 1244)(573, 1245)(574, 1246)(575, 1247)(576, 1248)(577, 1249)(578, 1250)(579, 1251)(580, 1252)(581, 1253)(582, 1254)(583, 1255)(584, 1256)(585, 1257)(586, 1258)(587, 1259)(588, 1260)(589, 1261)(590, 1262)(591, 1263)(592, 1264)(593, 1265)(594, 1266)(595, 1267)(596, 1268)(597, 1269)(598, 1270)(599, 1271)(600, 1272)(601, 1273)(602, 1274)(603, 1275)(604, 1276)(605, 1277)(606, 1278)(607, 1279)(608, 1280)(609, 1281)(610, 1282)(611, 1283)(612, 1284)(613, 1285)(614, 1286)(615, 1287)(616, 1288)(617, 1289)(618, 1290)(619, 1291)(620, 1292)(621, 1293)(622, 1294)(623, 1295)(624, 1296)(625, 1297)(626, 1298)(627, 1299)(628, 1300)(629, 1301)(630, 1302)(631, 1303)(632, 1304)(633, 1305)(634, 1306)(635, 1307)(636, 1308)(637, 1309)(638, 1310)(639, 1311)(640, 1312)(641, 1313)(642, 1314)(643, 1315)(644, 1316)(645, 1317)(646, 1318)(647, 1319)(648, 1320)(649, 1321)(650, 1322)(651, 1323)(652, 1324)(653, 1325)(654, 1326)(655, 1327)(656, 1328)(657, 1329)(658, 1330)(659, 1331)(660, 1332)(661, 1333)(662, 1334)(663, 1335)(664, 1336)(665, 1337)(666, 1338)(667, 1339)(668, 1340)(669, 1341)(670, 1342)(671, 1343)(672, 1344)
	local type(s) :: { ( 4, 28 ), ( 4, 28, 4, 28, 4, 28 ) }
Outer automorphisms :: reflexible
Dual of E17.2314
Graph:: simple bipartite
	v = 448 e = 672 f = 192
	degree seq :: [ 2^336, 6^112 ]

E17.2316 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {3, 3, 4})
Quotient :: edge
Aut^+ = $<384, 4>$ (small group id <384, 4>)
Aut   = $<768, 1085341>$ (small group id <768, 1085341>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^3, T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 * T2^2, (T2 * T1^-1)^6, (T2^-1, T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 5)(2, 6, 16, 7)(4, 11, 27, 12)(8, 20, 41, 21)(10, 24, 49, 25)(13, 30, 59, 31)(14, 32, 33, 15)(17, 36, 72, 37)(18, 38, 75, 39)(19, 40, 52, 26)(22, 44, 86, 45)(23, 46, 90, 47)(28, 55, 106, 56)(29, 57, 109, 58)(34, 67, 126, 68)(35, 69, 130, 70)(42, 83, 152, 84)(43, 85, 92, 48)(50, 95, 171, 96)(51, 97, 173, 98)(53, 101, 162, 102)(54, 103, 182, 104)(60, 115, 199, 116)(61, 117, 202, 118)(62, 119, 120, 63)(64, 121, 140, 122)(65, 123, 93, 124)(66, 125, 132, 71)(73, 135, 223, 136)(74, 137, 225, 138)(76, 141, 232, 142)(77, 143, 235, 144)(78, 145, 146, 79)(80, 147, 190, 148)(81, 112, 195, 149)(82, 150, 114, 151)(87, 131, 217, 159)(88, 160, 161, 89)(91, 164, 258, 165)(94, 168, 263, 169)(99, 177, 133, 178)(100, 179, 184, 105)(107, 186, 246, 154)(108, 187, 283, 188)(110, 191, 287, 192)(111, 193, 289, 194)(113, 196, 218, 197)(127, 183, 278, 214)(128, 215, 216, 129)(134, 220, 206, 221)(139, 229, 279, 230)(153, 244, 336, 245)(155, 247, 248, 156)(157, 249, 268, 250)(158, 176, 273, 231)(163, 256, 292, 198)(166, 259, 189, 260)(167, 261, 236, 170)(172, 266, 306, 211)(174, 269, 354, 270)(175, 271, 356, 272)(180, 276, 277, 181)(185, 281, 237, 282)(200, 227, 321, 295)(201, 296, 369, 297)(203, 243, 335, 299)(204, 280, 300, 205)(207, 301, 293, 302)(208, 303, 304, 209)(210, 305, 350, 262)(212, 307, 318, 291)(213, 228, 322, 286)(219, 313, 290, 222)(224, 316, 355, 274)(226, 319, 340, 320)(233, 285, 365, 326)(234, 327, 382, 328)(238, 329, 324, 330)(239, 331, 332, 240)(241, 333, 380, 314)(242, 264, 351, 334)(251, 341, 342, 252)(253, 343, 294, 344)(254, 345, 267, 346)(255, 347, 337, 257)(265, 312, 338, 352)(275, 357, 363, 323)(284, 349, 375, 364)(288, 367, 368, 348)(298, 370, 373, 358)(308, 376, 371, 309)(310, 377, 325, 378)(311, 379, 317, 339)(315, 361, 353, 381)(359, 372, 366, 384)(360, 383, 362, 374)(385, 386, 388)(387, 392, 394)(389, 397, 398)(390, 399, 401)(391, 402, 403)(393, 406, 407)(395, 410, 412)(396, 413, 404)(400, 418, 419)(405, 426, 427)(408, 432, 434)(409, 435, 428)(411, 437, 438)(414, 431, 444)(415, 445, 446)(416, 447, 448)(417, 449, 450)(420, 455, 457)(421, 458, 451)(422, 454, 460)(423, 461, 462)(424, 463, 464)(425, 465, 466)(429, 471, 472)(430, 473, 475)(433, 477, 478)(436, 483, 484)(439, 489, 491)(440, 492, 485)(441, 488, 494)(442, 495, 496)(443, 497, 498)(452, 511, 512)(453, 513, 515)(456, 517, 518)(459, 523, 524)(467, 535, 537)(468, 538, 539)(469, 540, 541)(470, 542, 514)(474, 546, 547)(476, 550, 551)(479, 554, 528)(480, 556, 508)(481, 553, 558)(482, 559, 560)(486, 549, 564)(487, 565, 567)(490, 536, 569)(493, 573, 574)(499, 582, 584)(500, 585, 580)(501, 534, 587)(502, 570, 588)(503, 589, 590)(504, 591, 592)(505, 593, 527)(506, 594, 507)(509, 595, 596)(510, 597, 566)(516, 602, 603)(519, 606, 578)(520, 608, 562)(521, 605, 610)(522, 611, 612)(525, 615, 617)(526, 618, 613)(529, 620, 621)(530, 622, 623)(531, 624, 577)(532, 625, 561)(533, 626, 627)(543, 619, 635)(544, 636, 637)(545, 638, 639)(548, 641, 630)(552, 646, 648)(555, 601, 649)(557, 651, 652)(563, 658, 659)(568, 663, 664)(571, 666, 668)(572, 669, 640)(575, 670, 656)(576, 672, 644)(579, 674, 647)(581, 675, 628)(583, 677, 678)(586, 682, 642)(598, 673, 692)(599, 693, 694)(600, 695, 696)(604, 698, 685)(607, 662, 699)(609, 701, 702)(614, 707, 689)(616, 708, 709)(629, 713, 665)(631, 721, 722)(632, 723, 704)(633, 724, 655)(634, 717, 643)(645, 732, 733)(650, 736, 737)(653, 697, 681)(654, 739, 730)(657, 706, 676)(660, 742, 743)(661, 744, 745)(667, 746, 747)(671, 735, 750)(679, 752, 686)(680, 727, 715)(683, 755, 754)(684, 712, 703)(687, 751, 756)(688, 757, 725)(690, 758, 748)(691, 759, 705)(700, 765, 731)(710, 753, 714)(711, 761, 719)(716, 726, 760)(718, 740, 766)(720, 763, 762)(728, 764, 729)(734, 767, 768)(738, 749, 741)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 6^3 ), ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2317
Transitivity :: ET+
Graph:: simple bipartite
	v = 224 e = 384 f = 128
	degree seq :: [ 3^128, 4^96 ]

E17.2317 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {3, 3, 4})
Quotient :: loop
Aut^+ = $<384, 4>$ (small group id <384, 4>)
Aut   = $<768, 1085341>$ (small group id <768, 1085341>)
|r| :: 2
Presentation :: [ F^2, T1^3, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1^-1)^4, (T2 * T1 * T2^-1 * T1 * T2 * T1^-1)^2, (T2 * T1^-1)^6, T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1, T1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1^-1 * T2^-1 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2, (T1, T2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 385, 3, 387, 5, 389)(2, 386, 6, 390, 7, 391)(4, 388, 10, 394, 11, 395)(8, 392, 18, 402, 19, 403)(9, 393, 20, 404, 21, 405)(12, 396, 26, 410, 27, 411)(13, 397, 28, 412, 29, 413)(14, 398, 30, 414, 31, 415)(15, 399, 32, 416, 33, 417)(16, 400, 34, 418, 35, 419)(17, 401, 36, 420, 37, 421)(22, 406, 46, 430, 47, 431)(23, 407, 48, 432, 49, 433)(24, 408, 50, 434, 51, 435)(25, 409, 52, 436, 38, 422)(39, 423, 73, 457, 74, 458)(40, 424, 75, 459, 76, 460)(41, 425, 77, 461, 78, 462)(42, 426, 79, 463, 80, 464)(43, 427, 81, 465, 82, 466)(44, 428, 83, 467, 84, 468)(45, 429, 85, 469, 53, 437)(54, 438, 98, 482, 99, 483)(55, 439, 100, 484, 101, 485)(56, 440, 102, 486, 103, 487)(57, 441, 104, 488, 105, 489)(58, 442, 106, 490, 107, 491)(59, 443, 108, 492, 109, 493)(60, 444, 110, 494, 111, 495)(61, 445, 112, 496, 113, 497)(62, 446, 114, 498, 115, 499)(63, 447, 116, 500, 117, 501)(64, 448, 118, 502, 119, 503)(65, 449, 120, 504, 66, 450)(67, 451, 121, 505, 122, 506)(68, 452, 123, 507, 124, 508)(69, 453, 125, 509, 126, 510)(70, 454, 127, 511, 128, 512)(71, 455, 129, 513, 130, 514)(72, 456, 131, 515, 132, 516)(86, 470, 153, 537, 154, 538)(87, 471, 155, 539, 156, 540)(88, 472, 157, 541, 158, 542)(89, 473, 159, 543, 160, 544)(90, 474, 161, 545, 143, 527)(91, 475, 162, 546, 92, 476)(93, 477, 163, 547, 164, 548)(94, 478, 165, 549, 166, 550)(95, 479, 167, 551, 168, 552)(96, 480, 169, 553, 170, 554)(97, 481, 171, 555, 172, 556)(133, 517, 190, 574, 189, 573)(134, 518, 218, 602, 219, 603)(135, 519, 220, 604, 221, 605)(136, 520, 214, 598, 137, 521)(138, 522, 222, 606, 184, 568)(139, 523, 223, 607, 224, 608)(140, 524, 225, 609, 226, 610)(141, 525, 227, 611, 177, 561)(142, 526, 228, 612, 229, 613)(144, 528, 230, 614, 231, 615)(145, 529, 232, 616, 233, 617)(146, 530, 234, 618, 181, 565)(147, 531, 235, 619, 148, 532)(149, 533, 236, 620, 237, 621)(150, 534, 238, 622, 239, 623)(151, 535, 195, 579, 240, 624)(152, 536, 241, 625, 242, 626)(173, 557, 261, 645, 262, 646)(174, 558, 263, 647, 264, 648)(175, 559, 265, 649, 176, 560)(178, 562, 266, 650, 267, 651)(179, 563, 268, 652, 269, 653)(180, 564, 203, 587, 270, 654)(182, 566, 271, 655, 272, 656)(183, 567, 273, 657, 274, 658)(185, 569, 217, 601, 186, 570)(187, 571, 275, 659, 276, 660)(188, 572, 277, 661, 278, 662)(191, 575, 279, 663, 213, 597)(192, 576, 280, 664, 281, 665)(193, 577, 282, 666, 283, 667)(194, 578, 284, 668, 207, 591)(196, 580, 285, 669, 286, 670)(197, 581, 287, 671, 210, 594)(198, 582, 288, 672, 199, 583)(200, 584, 289, 673, 290, 674)(201, 585, 291, 675, 292, 676)(202, 586, 247, 631, 293, 677)(204, 588, 294, 678, 295, 679)(205, 589, 296, 680, 206, 590)(208, 592, 297, 681, 298, 682)(209, 593, 252, 636, 299, 683)(211, 595, 300, 684, 301, 685)(212, 596, 302, 686, 303, 687)(215, 599, 304, 688, 305, 689)(216, 600, 306, 690, 307, 691)(243, 627, 312, 696, 260, 644)(244, 628, 330, 714, 331, 715)(245, 629, 332, 716, 323, 707)(246, 630, 333, 717, 256, 640)(248, 632, 317, 701, 257, 641)(249, 633, 329, 713, 250, 634)(251, 635, 334, 718, 335, 719)(253, 637, 336, 720, 337, 721)(254, 638, 338, 722, 255, 639)(258, 642, 339, 723, 340, 724)(259, 643, 341, 725, 342, 726)(308, 692, 360, 744, 315, 699)(309, 693, 372, 756, 310, 694)(311, 695, 363, 747, 348, 732)(313, 697, 346, 730, 358, 742)(314, 698, 322, 706, 373, 757)(316, 700, 355, 739, 364, 748)(318, 702, 350, 734, 374, 758)(319, 703, 357, 741, 351, 735)(320, 704, 361, 745, 326, 710)(321, 705, 375, 759, 376, 760)(324, 708, 368, 752, 325, 709)(327, 711, 367, 751, 377, 761)(328, 712, 378, 762, 379, 763)(343, 727, 365, 749, 347, 731)(344, 728, 371, 755, 345, 729)(349, 733, 366, 750, 354, 738)(352, 736, 381, 765, 353, 737)(356, 740, 359, 743, 382, 766)(362, 746, 380, 764, 383, 767)(369, 753, 384, 768, 370, 754)
	L = (1, 386)(2, 388)(3, 392)(4, 385)(5, 396)(6, 398)(7, 400)(8, 393)(9, 387)(10, 406)(11, 408)(12, 397)(13, 389)(14, 399)(15, 390)(16, 401)(17, 391)(18, 422)(19, 424)(20, 426)(21, 428)(22, 407)(23, 394)(24, 409)(25, 395)(26, 437)(27, 439)(28, 441)(29, 443)(30, 413)(31, 444)(32, 446)(33, 448)(34, 450)(35, 452)(36, 454)(37, 456)(38, 423)(39, 402)(40, 425)(41, 403)(42, 427)(43, 404)(44, 429)(45, 405)(46, 421)(47, 470)(48, 472)(49, 474)(50, 476)(51, 478)(52, 480)(53, 438)(54, 410)(55, 440)(56, 411)(57, 442)(58, 412)(59, 414)(60, 445)(61, 415)(62, 447)(63, 416)(64, 449)(65, 417)(66, 451)(67, 418)(68, 453)(69, 419)(70, 455)(71, 420)(72, 430)(73, 517)(74, 519)(75, 521)(76, 522)(77, 524)(78, 526)(79, 462)(80, 527)(81, 529)(82, 530)(83, 532)(84, 534)(85, 535)(86, 471)(87, 431)(88, 473)(89, 432)(90, 475)(91, 433)(92, 477)(93, 434)(94, 479)(95, 435)(96, 481)(97, 436)(98, 551)(99, 558)(100, 560)(101, 543)(102, 563)(103, 564)(104, 487)(105, 565)(106, 567)(107, 537)(108, 570)(109, 572)(110, 574)(111, 575)(112, 577)(113, 579)(114, 497)(115, 468)(116, 580)(117, 581)(118, 583)(119, 585)(120, 586)(121, 486)(122, 588)(123, 590)(124, 465)(125, 592)(126, 593)(127, 510)(128, 594)(129, 596)(130, 459)(131, 598)(132, 600)(133, 518)(134, 457)(135, 520)(136, 458)(137, 514)(138, 523)(139, 460)(140, 525)(141, 461)(142, 463)(143, 528)(144, 464)(145, 508)(146, 531)(147, 466)(148, 533)(149, 467)(150, 499)(151, 536)(152, 469)(153, 569)(154, 627)(155, 629)(156, 631)(157, 540)(158, 503)(159, 562)(160, 632)(161, 634)(162, 613)(163, 509)(164, 637)(165, 639)(166, 500)(167, 557)(168, 626)(169, 552)(170, 641)(171, 643)(172, 494)(173, 482)(174, 559)(175, 483)(176, 561)(177, 484)(178, 485)(179, 505)(180, 488)(181, 566)(182, 489)(183, 568)(184, 490)(185, 491)(186, 571)(187, 492)(188, 573)(189, 493)(190, 556)(191, 576)(192, 495)(193, 578)(194, 496)(195, 498)(196, 550)(197, 582)(198, 501)(199, 584)(200, 502)(201, 542)(202, 587)(203, 504)(204, 589)(205, 506)(206, 591)(207, 507)(208, 547)(209, 511)(210, 595)(211, 512)(212, 597)(213, 513)(214, 599)(215, 515)(216, 601)(217, 516)(218, 669)(219, 692)(220, 694)(221, 681)(222, 663)(223, 697)(224, 698)(225, 608)(226, 699)(227, 700)(228, 649)(229, 636)(230, 703)(231, 688)(232, 615)(233, 605)(234, 668)(235, 654)(236, 607)(237, 707)(238, 709)(239, 602)(240, 680)(241, 712)(242, 553)(243, 628)(244, 538)(245, 630)(246, 539)(247, 541)(248, 633)(249, 544)(250, 635)(251, 545)(252, 546)(253, 638)(254, 548)(255, 640)(256, 549)(257, 642)(258, 554)(259, 644)(260, 555)(261, 670)(262, 727)(263, 729)(264, 730)(265, 702)(266, 676)(267, 691)(268, 651)(269, 731)(270, 706)(271, 720)(272, 734)(273, 656)(274, 648)(275, 650)(276, 735)(277, 737)(278, 645)(279, 696)(280, 739)(281, 740)(282, 665)(283, 741)(284, 705)(285, 623)(286, 662)(287, 717)(288, 683)(289, 664)(290, 610)(291, 744)(292, 659)(293, 722)(294, 747)(295, 748)(296, 711)(297, 617)(298, 749)(299, 743)(300, 647)(301, 751)(302, 685)(303, 679)(304, 616)(305, 752)(306, 754)(307, 652)(308, 693)(309, 603)(310, 695)(311, 604)(312, 606)(313, 620)(314, 609)(315, 674)(316, 701)(317, 611)(318, 612)(319, 704)(320, 614)(321, 618)(322, 619)(323, 708)(324, 621)(325, 710)(326, 622)(327, 624)(328, 713)(329, 625)(330, 759)(331, 763)(332, 715)(333, 742)(334, 714)(335, 667)(336, 733)(337, 760)(338, 746)(339, 678)(340, 764)(341, 724)(342, 721)(343, 728)(344, 646)(345, 684)(346, 658)(347, 732)(348, 653)(349, 655)(350, 657)(351, 736)(352, 660)(353, 738)(354, 661)(355, 673)(356, 666)(357, 719)(358, 671)(359, 672)(360, 745)(361, 675)(362, 677)(363, 723)(364, 687)(365, 750)(366, 682)(367, 686)(368, 753)(369, 689)(370, 755)(371, 690)(372, 757)(373, 767)(374, 765)(375, 718)(376, 726)(377, 768)(378, 761)(379, 716)(380, 725)(381, 766)(382, 758)(383, 756)(384, 762)
	local type(s) :: { ( 3, 4, 3, 4, 3, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2316
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 128 e = 384 f = 224
	degree seq :: [ 6^128 ]

E17.2318 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = $<384, 4>$ (small group id <384, 4>)
Aut   = $<768, 1085341>$ (small group id <768, 1085341>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, Y2^4, (R * Y1)^2, (R * Y3)^2, (Y2^-1 * Y1^-1)^3, (Y3^-1 * Y1^-1)^3, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1 * Y2^2 * Y1 * Y2, (Y2^-1 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1)^2, (Y2 * Y1^-1)^6, (Y2^-1, Y1^-1)^4 ]
Map::
	R = (1, 385, 2, 386, 4, 388)(3, 387, 8, 392, 10, 394)(5, 389, 13, 397, 14, 398)(6, 390, 15, 399, 17, 401)(7, 391, 18, 402, 19, 403)(9, 393, 22, 406, 23, 407)(11, 395, 26, 410, 28, 412)(12, 396, 29, 413, 20, 404)(16, 400, 34, 418, 35, 419)(21, 405, 42, 426, 43, 427)(24, 408, 48, 432, 50, 434)(25, 409, 51, 435, 44, 428)(27, 411, 53, 437, 54, 438)(30, 414, 47, 431, 60, 444)(31, 415, 61, 445, 62, 446)(32, 416, 63, 447, 64, 448)(33, 417, 65, 449, 66, 450)(36, 420, 71, 455, 73, 457)(37, 421, 74, 458, 67, 451)(38, 422, 70, 454, 76, 460)(39, 423, 77, 461, 78, 462)(40, 424, 79, 463, 80, 464)(41, 425, 81, 465, 82, 466)(45, 429, 87, 471, 88, 472)(46, 430, 89, 473, 91, 475)(49, 433, 93, 477, 94, 478)(52, 436, 99, 483, 100, 484)(55, 439, 105, 489, 107, 491)(56, 440, 108, 492, 101, 485)(57, 441, 104, 488, 110, 494)(58, 442, 111, 495, 112, 496)(59, 443, 113, 497, 114, 498)(68, 452, 127, 511, 128, 512)(69, 453, 129, 513, 131, 515)(72, 456, 133, 517, 134, 518)(75, 459, 139, 523, 140, 524)(83, 467, 151, 535, 153, 537)(84, 468, 154, 538, 155, 539)(85, 469, 156, 540, 157, 541)(86, 470, 158, 542, 130, 514)(90, 474, 162, 546, 163, 547)(92, 476, 166, 550, 167, 551)(95, 479, 170, 554, 144, 528)(96, 480, 172, 556, 124, 508)(97, 481, 169, 553, 174, 558)(98, 482, 175, 559, 176, 560)(102, 486, 165, 549, 180, 564)(103, 487, 181, 565, 183, 567)(106, 490, 152, 536, 185, 569)(109, 493, 189, 573, 190, 574)(115, 499, 198, 582, 200, 584)(116, 500, 201, 585, 196, 580)(117, 501, 150, 534, 203, 587)(118, 502, 186, 570, 204, 588)(119, 503, 205, 589, 206, 590)(120, 504, 207, 591, 208, 592)(121, 505, 209, 593, 143, 527)(122, 506, 210, 594, 123, 507)(125, 509, 211, 595, 212, 596)(126, 510, 213, 597, 182, 566)(132, 516, 218, 602, 219, 603)(135, 519, 222, 606, 194, 578)(136, 520, 224, 608, 178, 562)(137, 521, 221, 605, 226, 610)(138, 522, 227, 611, 228, 612)(141, 525, 231, 615, 233, 617)(142, 526, 234, 618, 229, 613)(145, 529, 236, 620, 237, 621)(146, 530, 238, 622, 239, 623)(147, 531, 240, 624, 193, 577)(148, 532, 241, 625, 177, 561)(149, 533, 242, 626, 243, 627)(159, 543, 235, 619, 251, 635)(160, 544, 252, 636, 253, 637)(161, 545, 254, 638, 255, 639)(164, 548, 257, 641, 246, 630)(168, 552, 262, 646, 264, 648)(171, 555, 217, 601, 265, 649)(173, 557, 267, 651, 268, 652)(179, 563, 274, 658, 275, 659)(184, 568, 279, 663, 280, 664)(187, 571, 282, 666, 284, 668)(188, 572, 285, 669, 256, 640)(191, 575, 286, 670, 272, 656)(192, 576, 288, 672, 260, 644)(195, 579, 290, 674, 263, 647)(197, 581, 291, 675, 244, 628)(199, 583, 293, 677, 294, 678)(202, 586, 298, 682, 258, 642)(214, 598, 289, 673, 308, 692)(215, 599, 309, 693, 310, 694)(216, 600, 311, 695, 312, 696)(220, 604, 314, 698, 301, 685)(223, 607, 278, 662, 315, 699)(225, 609, 317, 701, 318, 702)(230, 614, 323, 707, 305, 689)(232, 616, 324, 708, 325, 709)(245, 629, 329, 713, 281, 665)(247, 631, 337, 721, 338, 722)(248, 632, 339, 723, 320, 704)(249, 633, 340, 724, 271, 655)(250, 634, 333, 717, 259, 643)(261, 645, 348, 732, 349, 733)(266, 650, 352, 736, 353, 737)(269, 653, 313, 697, 297, 681)(270, 654, 355, 739, 346, 730)(273, 657, 322, 706, 292, 676)(276, 660, 358, 742, 359, 743)(277, 661, 360, 744, 361, 745)(283, 667, 362, 746, 363, 747)(287, 671, 351, 735, 366, 750)(295, 679, 368, 752, 302, 686)(296, 680, 343, 727, 331, 715)(299, 683, 371, 755, 370, 754)(300, 684, 328, 712, 319, 703)(303, 687, 367, 751, 372, 756)(304, 688, 373, 757, 341, 725)(306, 690, 374, 758, 364, 748)(307, 691, 375, 759, 321, 705)(316, 700, 381, 765, 347, 731)(326, 710, 369, 753, 330, 714)(327, 711, 377, 761, 335, 719)(332, 716, 342, 726, 376, 760)(334, 718, 356, 740, 382, 766)(336, 720, 379, 763, 378, 762)(344, 728, 380, 764, 345, 729)(350, 734, 383, 767, 384, 768)(354, 738, 365, 749, 357, 741)(769, 1153, 771, 1155, 777, 1161, 773, 1157)(770, 1154, 774, 1158, 784, 1168, 775, 1159)(772, 1156, 779, 1163, 795, 1179, 780, 1164)(776, 1160, 788, 1172, 809, 1193, 789, 1173)(778, 1162, 792, 1176, 817, 1201, 793, 1177)(781, 1165, 798, 1182, 827, 1211, 799, 1183)(782, 1166, 800, 1184, 801, 1185, 783, 1167)(785, 1169, 804, 1188, 840, 1224, 805, 1189)(786, 1170, 806, 1190, 843, 1227, 807, 1191)(787, 1171, 808, 1192, 820, 1204, 794, 1178)(790, 1174, 812, 1196, 854, 1238, 813, 1197)(791, 1175, 814, 1198, 858, 1242, 815, 1199)(796, 1180, 823, 1207, 874, 1258, 824, 1208)(797, 1181, 825, 1209, 877, 1261, 826, 1210)(802, 1186, 835, 1219, 894, 1278, 836, 1220)(803, 1187, 837, 1221, 898, 1282, 838, 1222)(810, 1194, 851, 1235, 920, 1304, 852, 1236)(811, 1195, 853, 1237, 860, 1244, 816, 1200)(818, 1202, 863, 1247, 939, 1323, 864, 1248)(819, 1203, 865, 1249, 941, 1325, 866, 1250)(821, 1205, 869, 1253, 930, 1314, 870, 1254)(822, 1206, 871, 1255, 950, 1334, 872, 1256)(828, 1212, 883, 1267, 967, 1351, 884, 1268)(829, 1213, 885, 1269, 970, 1354, 886, 1270)(830, 1214, 887, 1271, 888, 1272, 831, 1215)(832, 1216, 889, 1273, 908, 1292, 890, 1274)(833, 1217, 891, 1275, 861, 1245, 892, 1276)(834, 1218, 893, 1277, 900, 1284, 839, 1223)(841, 1225, 903, 1287, 991, 1375, 904, 1288)(842, 1226, 905, 1289, 993, 1377, 906, 1290)(844, 1228, 909, 1293, 1000, 1384, 910, 1294)(845, 1229, 911, 1295, 1003, 1387, 912, 1296)(846, 1230, 913, 1297, 914, 1298, 847, 1231)(848, 1232, 915, 1299, 958, 1342, 916, 1300)(849, 1233, 880, 1264, 963, 1347, 917, 1301)(850, 1234, 918, 1302, 882, 1266, 919, 1303)(855, 1239, 899, 1283, 985, 1369, 927, 1311)(856, 1240, 928, 1312, 929, 1313, 857, 1241)(859, 1243, 932, 1316, 1026, 1410, 933, 1317)(862, 1246, 936, 1320, 1031, 1415, 937, 1321)(867, 1251, 945, 1329, 901, 1285, 946, 1330)(868, 1252, 947, 1331, 952, 1336, 873, 1257)(875, 1259, 954, 1338, 1014, 1398, 922, 1306)(876, 1260, 955, 1339, 1051, 1435, 956, 1340)(878, 1262, 959, 1343, 1055, 1439, 960, 1344)(879, 1263, 961, 1345, 1057, 1441, 962, 1346)(881, 1265, 964, 1348, 986, 1370, 965, 1349)(895, 1279, 951, 1335, 1046, 1430, 982, 1366)(896, 1280, 983, 1367, 984, 1368, 897, 1281)(902, 1286, 988, 1372, 974, 1358, 989, 1373)(907, 1291, 997, 1381, 1047, 1431, 998, 1382)(921, 1305, 1012, 1396, 1104, 1488, 1013, 1397)(923, 1307, 1015, 1399, 1016, 1400, 924, 1308)(925, 1309, 1017, 1401, 1036, 1420, 1018, 1402)(926, 1310, 944, 1328, 1041, 1425, 999, 1383)(931, 1315, 1024, 1408, 1060, 1444, 966, 1350)(934, 1318, 1027, 1411, 957, 1341, 1028, 1412)(935, 1319, 1029, 1413, 1004, 1388, 938, 1322)(940, 1324, 1034, 1418, 1074, 1458, 979, 1363)(942, 1326, 1037, 1421, 1122, 1506, 1038, 1422)(943, 1327, 1039, 1423, 1124, 1508, 1040, 1424)(948, 1332, 1044, 1428, 1045, 1429, 949, 1333)(953, 1337, 1049, 1433, 1005, 1389, 1050, 1434)(968, 1352, 995, 1379, 1089, 1473, 1063, 1447)(969, 1353, 1064, 1448, 1137, 1521, 1065, 1449)(971, 1355, 1011, 1395, 1103, 1487, 1067, 1451)(972, 1356, 1048, 1432, 1068, 1452, 973, 1357)(975, 1359, 1069, 1453, 1061, 1445, 1070, 1454)(976, 1360, 1071, 1455, 1072, 1456, 977, 1361)(978, 1362, 1073, 1457, 1118, 1502, 1030, 1414)(980, 1364, 1075, 1459, 1086, 1470, 1059, 1443)(981, 1365, 996, 1380, 1090, 1474, 1054, 1438)(987, 1371, 1081, 1465, 1058, 1442, 990, 1374)(992, 1376, 1084, 1468, 1123, 1507, 1042, 1426)(994, 1378, 1087, 1471, 1108, 1492, 1088, 1472)(1001, 1385, 1053, 1437, 1133, 1517, 1094, 1478)(1002, 1386, 1095, 1479, 1150, 1534, 1096, 1480)(1006, 1390, 1097, 1481, 1092, 1476, 1098, 1482)(1007, 1391, 1099, 1483, 1100, 1484, 1008, 1392)(1009, 1393, 1101, 1485, 1148, 1532, 1082, 1466)(1010, 1394, 1032, 1416, 1119, 1503, 1102, 1486)(1019, 1403, 1109, 1493, 1110, 1494, 1020, 1404)(1021, 1405, 1111, 1495, 1062, 1446, 1112, 1496)(1022, 1406, 1113, 1497, 1035, 1419, 1114, 1498)(1023, 1407, 1115, 1499, 1105, 1489, 1025, 1409)(1033, 1417, 1080, 1464, 1106, 1490, 1120, 1504)(1043, 1427, 1125, 1509, 1131, 1515, 1091, 1475)(1052, 1436, 1117, 1501, 1143, 1527, 1132, 1516)(1056, 1440, 1135, 1519, 1136, 1520, 1116, 1500)(1066, 1450, 1138, 1522, 1141, 1525, 1126, 1510)(1076, 1460, 1144, 1528, 1139, 1523, 1077, 1461)(1078, 1462, 1145, 1529, 1093, 1477, 1146, 1530)(1079, 1463, 1147, 1531, 1085, 1469, 1107, 1491)(1083, 1467, 1129, 1513, 1121, 1505, 1149, 1533)(1127, 1511, 1140, 1524, 1134, 1518, 1152, 1536)(1128, 1512, 1151, 1535, 1130, 1514, 1142, 1526)
	L = (1, 771)(2, 774)(3, 777)(4, 779)(5, 769)(6, 784)(7, 770)(8, 788)(9, 773)(10, 792)(11, 795)(12, 772)(13, 798)(14, 800)(15, 782)(16, 775)(17, 804)(18, 806)(19, 808)(20, 809)(21, 776)(22, 812)(23, 814)(24, 817)(25, 778)(26, 787)(27, 780)(28, 823)(29, 825)(30, 827)(31, 781)(32, 801)(33, 783)(34, 835)(35, 837)(36, 840)(37, 785)(38, 843)(39, 786)(40, 820)(41, 789)(42, 851)(43, 853)(44, 854)(45, 790)(46, 858)(47, 791)(48, 811)(49, 793)(50, 863)(51, 865)(52, 794)(53, 869)(54, 871)(55, 874)(56, 796)(57, 877)(58, 797)(59, 799)(60, 883)(61, 885)(62, 887)(63, 830)(64, 889)(65, 891)(66, 893)(67, 894)(68, 802)(69, 898)(70, 803)(71, 834)(72, 805)(73, 903)(74, 905)(75, 807)(76, 909)(77, 911)(78, 913)(79, 846)(80, 915)(81, 880)(82, 918)(83, 920)(84, 810)(85, 860)(86, 813)(87, 899)(88, 928)(89, 856)(90, 815)(91, 932)(92, 816)(93, 892)(94, 936)(95, 939)(96, 818)(97, 941)(98, 819)(99, 945)(100, 947)(101, 930)(102, 821)(103, 950)(104, 822)(105, 868)(106, 824)(107, 954)(108, 955)(109, 826)(110, 959)(111, 961)(112, 963)(113, 964)(114, 919)(115, 967)(116, 828)(117, 970)(118, 829)(119, 888)(120, 831)(121, 908)(122, 832)(123, 861)(124, 833)(125, 900)(126, 836)(127, 951)(128, 983)(129, 896)(130, 838)(131, 985)(132, 839)(133, 946)(134, 988)(135, 991)(136, 841)(137, 993)(138, 842)(139, 997)(140, 890)(141, 1000)(142, 844)(143, 1003)(144, 845)(145, 914)(146, 847)(147, 958)(148, 848)(149, 849)(150, 882)(151, 850)(152, 852)(153, 1012)(154, 875)(155, 1015)(156, 923)(157, 1017)(158, 944)(159, 855)(160, 929)(161, 857)(162, 870)(163, 1024)(164, 1026)(165, 859)(166, 1027)(167, 1029)(168, 1031)(169, 862)(170, 935)(171, 864)(172, 1034)(173, 866)(174, 1037)(175, 1039)(176, 1041)(177, 901)(178, 867)(179, 952)(180, 1044)(181, 948)(182, 872)(183, 1046)(184, 873)(185, 1049)(186, 1014)(187, 1051)(188, 876)(189, 1028)(190, 916)(191, 1055)(192, 878)(193, 1057)(194, 879)(195, 917)(196, 986)(197, 881)(198, 931)(199, 884)(200, 995)(201, 1064)(202, 886)(203, 1011)(204, 1048)(205, 972)(206, 989)(207, 1069)(208, 1071)(209, 976)(210, 1073)(211, 940)(212, 1075)(213, 996)(214, 895)(215, 984)(216, 897)(217, 927)(218, 965)(219, 1081)(220, 974)(221, 902)(222, 987)(223, 904)(224, 1084)(225, 906)(226, 1087)(227, 1089)(228, 1090)(229, 1047)(230, 907)(231, 926)(232, 910)(233, 1053)(234, 1095)(235, 912)(236, 938)(237, 1050)(238, 1097)(239, 1099)(240, 1007)(241, 1101)(242, 1032)(243, 1103)(244, 1104)(245, 921)(246, 922)(247, 1016)(248, 924)(249, 1036)(250, 925)(251, 1109)(252, 1019)(253, 1111)(254, 1113)(255, 1115)(256, 1060)(257, 1023)(258, 933)(259, 957)(260, 934)(261, 1004)(262, 978)(263, 937)(264, 1119)(265, 1080)(266, 1074)(267, 1114)(268, 1018)(269, 1122)(270, 942)(271, 1124)(272, 943)(273, 999)(274, 992)(275, 1125)(276, 1045)(277, 949)(278, 982)(279, 998)(280, 1068)(281, 1005)(282, 953)(283, 956)(284, 1117)(285, 1133)(286, 981)(287, 960)(288, 1135)(289, 962)(290, 990)(291, 980)(292, 966)(293, 1070)(294, 1112)(295, 968)(296, 1137)(297, 969)(298, 1138)(299, 971)(300, 973)(301, 1061)(302, 975)(303, 1072)(304, 977)(305, 1118)(306, 979)(307, 1086)(308, 1144)(309, 1076)(310, 1145)(311, 1147)(312, 1106)(313, 1058)(314, 1009)(315, 1129)(316, 1123)(317, 1107)(318, 1059)(319, 1108)(320, 994)(321, 1063)(322, 1054)(323, 1043)(324, 1098)(325, 1146)(326, 1001)(327, 1150)(328, 1002)(329, 1092)(330, 1006)(331, 1100)(332, 1008)(333, 1148)(334, 1010)(335, 1067)(336, 1013)(337, 1025)(338, 1120)(339, 1079)(340, 1088)(341, 1110)(342, 1020)(343, 1062)(344, 1021)(345, 1035)(346, 1022)(347, 1105)(348, 1056)(349, 1143)(350, 1030)(351, 1102)(352, 1033)(353, 1149)(354, 1038)(355, 1042)(356, 1040)(357, 1131)(358, 1066)(359, 1140)(360, 1151)(361, 1121)(362, 1142)(363, 1091)(364, 1052)(365, 1094)(366, 1152)(367, 1136)(368, 1116)(369, 1065)(370, 1141)(371, 1077)(372, 1134)(373, 1126)(374, 1128)(375, 1132)(376, 1139)(377, 1093)(378, 1078)(379, 1085)(380, 1082)(381, 1083)(382, 1096)(383, 1130)(384, 1127)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6 ), ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2319
Graph:: bipartite
	v = 224 e = 768 f = 512
	degree seq :: [ 6^128, 8^96 ]

E17.2319 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {3, 3, 4})
Quotient :: dipole
Aut^+ = $<384, 4>$ (small group id <384, 4>)
Aut   = $<768, 1085341>$ (small group id <768, 1085341>)
|r| :: 2
Presentation :: [ Y1, R^2, Y2^3, Y3^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^3, (Y3^-1 * Y1^-1)^4, (Y2 * Y3 * Y2 * Y3 * Y2 * Y3^-1)^2, (Y3^-1 * Y2^-1)^6, (Y3^-1, Y2^-1)^4 ]
Map:: polytopal
	R = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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)(769, 1153, 770, 1154, 772, 1156)(771, 1155, 776, 1160, 778, 1162)(773, 1157, 781, 1165, 782, 1166)(774, 1158, 783, 1167, 785, 1169)(775, 1159, 786, 1170, 787, 1171)(777, 1161, 790, 1174, 791, 1175)(779, 1163, 793, 1177, 795, 1179)(780, 1164, 796, 1180, 797, 1181)(784, 1168, 803, 1187, 804, 1188)(788, 1172, 809, 1193, 811, 1195)(789, 1173, 812, 1196, 813, 1197)(792, 1176, 817, 1201, 818, 1202)(794, 1178, 821, 1205, 822, 1206)(798, 1182, 827, 1211, 828, 1212)(799, 1183, 829, 1213, 815, 1199)(800, 1184, 831, 1215, 832, 1216)(801, 1185, 833, 1217, 835, 1219)(802, 1186, 836, 1220, 837, 1221)(805, 1189, 841, 1225, 842, 1226)(806, 1190, 843, 1227, 844, 1228)(807, 1191, 845, 1229, 839, 1223)(808, 1192, 847, 1231, 848, 1232)(810, 1194, 851, 1235, 852, 1236)(814, 1198, 857, 1241, 859, 1243)(816, 1200, 860, 1244, 861, 1245)(819, 1203, 865, 1249, 867, 1251)(820, 1204, 868, 1252, 869, 1253)(823, 1207, 873, 1257, 874, 1258)(824, 1208, 875, 1259, 876, 1260)(825, 1209, 877, 1261, 871, 1255)(826, 1210, 879, 1263, 880, 1264)(830, 1214, 886, 1270, 887, 1271)(834, 1218, 893, 1277, 894, 1278)(838, 1222, 899, 1283, 901, 1285)(840, 1224, 902, 1286, 903, 1287)(846, 1230, 912, 1296, 913, 1297)(849, 1233, 917, 1301, 919, 1303)(850, 1234, 920, 1304, 921, 1305)(853, 1237, 925, 1309, 926, 1310)(854, 1238, 927, 1311, 928, 1312)(855, 1239, 929, 1313, 923, 1307)(856, 1240, 931, 1315, 932, 1316)(858, 1242, 934, 1318, 896, 1280)(862, 1246, 939, 1323, 940, 1324)(863, 1247, 941, 1325, 908, 1292)(864, 1248, 942, 1326, 892, 1276)(866, 1250, 945, 1329, 946, 1330)(870, 1254, 937, 1321, 951, 1335)(872, 1256, 952, 1336, 953, 1337)(878, 1262, 960, 1344, 961, 1345)(881, 1265, 963, 1347, 964, 1348)(882, 1266, 924, 1308, 965, 1349)(883, 1267, 966, 1350, 967, 1351)(884, 1268, 968, 1352, 970, 1354)(885, 1269, 971, 1355, 972, 1356)(888, 1272, 974, 1358, 975, 1359)(889, 1273, 976, 1360, 907, 1291)(890, 1274, 978, 1362, 891, 1275)(895, 1279, 982, 1366, 983, 1367)(897, 1281, 984, 1368, 981, 1365)(898, 1282, 986, 1370, 987, 1371)(900, 1284, 989, 1373, 948, 1332)(904, 1288, 993, 1377, 994, 1378)(905, 1289, 995, 1379, 956, 1340)(906, 1290, 996, 1380, 944, 1328)(909, 1293, 997, 1381, 998, 1382)(910, 1294, 999, 1383, 1001, 1385)(911, 1295, 1002, 1386, 1003, 1387)(914, 1298, 1005, 1389, 1006, 1390)(915, 1299, 1007, 1391, 955, 1339)(916, 1300, 1009, 1393, 943, 1327)(918, 1302, 1011, 1395, 1012, 1396)(922, 1306, 1016, 1400, 1017, 1401)(930, 1314, 1022, 1406, 1023, 1407)(933, 1317, 979, 1363, 1026, 1410)(935, 1319, 1027, 1411, 1028, 1412)(936, 1320, 1029, 1413, 1030, 1414)(938, 1322, 1031, 1415, 1010, 1394)(947, 1331, 1041, 1425, 1042, 1426)(949, 1333, 1043, 1427, 1040, 1424)(950, 1334, 1045, 1429, 1046, 1430)(954, 1338, 1050, 1434, 1015, 1399)(957, 1341, 1051, 1435, 1052, 1436)(958, 1342, 1053, 1437, 1019, 1403)(959, 1343, 1055, 1439, 1056, 1440)(962, 1346, 1058, 1442, 1013, 1397)(969, 1353, 1065, 1449, 1066, 1450)(973, 1357, 1035, 1419, 1070, 1454)(977, 1361, 992, 1376, 1073, 1457)(980, 1364, 1074, 1458, 1036, 1420)(985, 1369, 1077, 1461, 1078, 1462)(988, 1372, 1038, 1422, 1080, 1464)(990, 1374, 1081, 1465, 1082, 1466)(991, 1375, 1083, 1467, 1084, 1468)(1000, 1384, 1094, 1478, 1095, 1479)(1004, 1388, 1088, 1472, 1033, 1417)(1008, 1392, 1049, 1433, 1101, 1485)(1014, 1398, 1104, 1488, 1103, 1487)(1018, 1402, 1075, 1459, 1098, 1482)(1020, 1404, 1069, 1453, 1099, 1483)(1021, 1405, 1108, 1492, 1087, 1471)(1024, 1408, 1067, 1451, 1096, 1480)(1025, 1409, 1110, 1494, 1032, 1416)(1034, 1418, 1117, 1501, 1118, 1502)(1037, 1421, 1120, 1504, 1111, 1495)(1039, 1423, 1062, 1446, 1089, 1473)(1044, 1428, 1122, 1506, 1123, 1507)(1047, 1431, 1102, 1486, 1125, 1509)(1048, 1432, 1126, 1510, 1127, 1511)(1054, 1438, 1132, 1516, 1133, 1517)(1057, 1441, 1060, 1444, 1086, 1470)(1059, 1443, 1116, 1500, 1136, 1520)(1061, 1445, 1137, 1521, 1097, 1481)(1063, 1447, 1138, 1522, 1064, 1448)(1068, 1452, 1129, 1513, 1113, 1497)(1071, 1455, 1121, 1505, 1135, 1519)(1072, 1456, 1140, 1524, 1141, 1525)(1076, 1460, 1143, 1527, 1105, 1489)(1079, 1463, 1107, 1491, 1085, 1469)(1090, 1474, 1112, 1496, 1145, 1529)(1091, 1475, 1148, 1532, 1134, 1518)(1092, 1476, 1149, 1533, 1093, 1477)(1100, 1484, 1150, 1534, 1115, 1499)(1106, 1490, 1146, 1530, 1144, 1528)(1109, 1493, 1147, 1531, 1114, 1498)(1119, 1503, 1151, 1535, 1152, 1536)(1124, 1508, 1142, 1526, 1128, 1512)(1130, 1514, 1139, 1523, 1131, 1515)
	L = (1, 771)(2, 774)(3, 777)(4, 779)(5, 769)(6, 784)(7, 770)(8, 788)(9, 773)(10, 786)(11, 794)(12, 772)(13, 798)(14, 799)(15, 801)(16, 775)(17, 796)(18, 806)(19, 807)(20, 810)(21, 776)(22, 814)(23, 812)(24, 778)(25, 819)(26, 780)(27, 781)(28, 824)(29, 825)(30, 823)(31, 830)(32, 782)(33, 834)(34, 783)(35, 838)(36, 836)(37, 785)(38, 792)(39, 846)(40, 787)(41, 849)(42, 789)(43, 817)(44, 854)(45, 855)(46, 858)(47, 790)(48, 791)(49, 862)(50, 863)(51, 866)(52, 793)(53, 870)(54, 868)(55, 795)(56, 805)(57, 878)(58, 797)(59, 881)(60, 831)(61, 884)(62, 800)(63, 888)(64, 889)(65, 891)(66, 802)(67, 841)(68, 896)(69, 897)(70, 900)(71, 803)(72, 804)(73, 904)(74, 905)(75, 907)(76, 847)(77, 910)(78, 808)(79, 914)(80, 915)(81, 918)(82, 809)(83, 922)(84, 920)(85, 811)(86, 816)(87, 930)(88, 813)(89, 933)(90, 815)(91, 860)(92, 936)(93, 937)(94, 853)(95, 894)(96, 818)(97, 943)(98, 820)(99, 873)(100, 948)(101, 949)(102, 927)(103, 821)(104, 822)(105, 954)(106, 924)(107, 955)(108, 879)(109, 958)(110, 826)(111, 962)(112, 963)(113, 960)(114, 827)(115, 828)(116, 969)(117, 829)(118, 908)(119, 971)(120, 883)(121, 977)(122, 832)(123, 979)(124, 833)(125, 980)(126, 864)(127, 835)(128, 840)(129, 985)(130, 837)(131, 988)(132, 839)(133, 902)(134, 991)(135, 857)(136, 895)(137, 946)(138, 842)(139, 886)(140, 843)(141, 844)(142, 1000)(143, 845)(144, 956)(145, 1002)(146, 909)(147, 1008)(148, 848)(149, 880)(150, 850)(151, 925)(152, 874)(153, 1014)(154, 1005)(155, 851)(156, 852)(157, 1018)(158, 1004)(159, 871)(160, 931)(161, 1020)(162, 856)(163, 1024)(164, 1025)(165, 992)(166, 986)(167, 859)(168, 935)(169, 1012)(170, 861)(171, 1032)(172, 942)(173, 1035)(174, 1037)(175, 1038)(176, 865)(177, 1039)(178, 906)(179, 867)(180, 872)(181, 1044)(182, 869)(183, 952)(184, 1048)(185, 899)(186, 947)(187, 912)(188, 875)(189, 876)(190, 1054)(191, 877)(192, 882)(193, 1055)(194, 957)(195, 1010)(196, 966)(197, 1060)(198, 1061)(199, 1062)(200, 1046)(201, 885)(202, 934)(203, 1042)(204, 1068)(205, 887)(206, 1040)(207, 978)(208, 997)(209, 890)(210, 982)(211, 892)(212, 1058)(213, 893)(214, 1071)(215, 1057)(216, 1075)(217, 898)(218, 1067)(219, 1079)(220, 1049)(221, 1045)(222, 901)(223, 990)(224, 903)(225, 1085)(226, 996)(227, 1088)(228, 1090)(229, 1091)(230, 1016)(231, 932)(232, 911)(233, 989)(234, 926)(235, 1097)(236, 913)(237, 923)(238, 1009)(239, 1051)(240, 916)(241, 1041)(242, 917)(243, 1102)(244, 938)(245, 919)(246, 1105)(247, 921)(248, 1095)(249, 965)(250, 1013)(251, 928)(252, 1107)(253, 929)(254, 1033)(255, 1108)(256, 1019)(257, 1093)(258, 1027)(259, 1112)(260, 1109)(261, 1113)(262, 1031)(263, 1116)(264, 1022)(265, 939)(266, 940)(267, 1119)(268, 941)(269, 1034)(270, 944)(271, 974)(272, 945)(273, 1099)(274, 973)(275, 1121)(276, 950)(277, 1096)(278, 1124)(279, 951)(280, 1047)(281, 953)(282, 1128)(283, 1129)(284, 1074)(285, 987)(286, 959)(287, 983)(288, 1134)(289, 961)(290, 981)(291, 964)(292, 1106)(293, 1059)(294, 1066)(295, 967)(296, 968)(297, 1114)(298, 1063)(299, 970)(300, 1139)(301, 972)(302, 1050)(303, 975)(304, 976)(305, 1140)(306, 1133)(307, 1142)(308, 984)(309, 1086)(310, 1143)(311, 1131)(312, 1081)(313, 1104)(314, 1144)(315, 1137)(316, 1073)(317, 1077)(318, 993)(319, 994)(320, 1147)(321, 995)(322, 1087)(323, 1072)(324, 998)(325, 999)(326, 1146)(327, 1092)(328, 1001)(329, 1138)(330, 1003)(331, 1006)(332, 1007)(333, 1150)(334, 1120)(335, 1011)(336, 1145)(337, 1015)(338, 1017)(339, 1021)(340, 1028)(341, 1023)(342, 1117)(343, 1026)(344, 1111)(345, 1065)(346, 1029)(347, 1030)(348, 1115)(349, 1043)(350, 1125)(351, 1036)(352, 1103)(353, 1110)(354, 1070)(355, 1118)(356, 1064)(357, 1152)(358, 1148)(359, 1101)(360, 1122)(361, 1100)(362, 1052)(363, 1053)(364, 1151)(365, 1130)(366, 1149)(367, 1056)(368, 1084)(369, 1094)(370, 1098)(371, 1069)(372, 1136)(373, 1127)(374, 1076)(375, 1082)(376, 1078)(377, 1080)(378, 1083)(379, 1089)(380, 1132)(381, 1135)(382, 1141)(383, 1126)(384, 1123)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 6, 8 ), ( 6, 8, 6, 8, 6, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2318
Graph:: simple bipartite
	v = 512 e = 768 f = 224
	degree seq :: [ 2^384, 6^128 ]

E17.2320 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 6})
Quotient :: halfedge
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X2 * X1)^4, X2 * X1 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1, (X1^-1 * X2 * X1 * X2 * X1^-2 * X2)^2, (X2 * X1^-3)^4, (X2 * X1^2 * X2 * X1^-2)^3, (X1^-1 * X2 * X1 * X2 * X1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 111, 68, 39)(22, 40, 69, 115, 72, 41)(27, 49, 83, 124, 75, 43)(30, 52, 89, 147, 92, 53)(34, 59, 100, 159, 102, 60)(36, 63, 106, 169, 108, 64)(44, 76, 125, 184, 117, 70)(47, 79, 131, 206, 134, 80)(50, 85, 140, 213, 142, 86)(51, 87, 143, 180, 146, 88)(55, 95, 154, 224, 149, 90)(58, 98, 158, 198, 126, 99)(62, 104, 165, 242, 168, 105)(65, 109, 170, 247, 172, 110)(67, 71, 118, 185, 177, 113)(74, 121, 191, 270, 194, 122)(77, 127, 199, 277, 201, 128)(78, 129, 202, 173, 205, 130)(81, 135, 209, 286, 208, 132)(84, 138, 94, 153, 186, 139)(91, 150, 225, 301, 218, 144)(96, 155, 229, 281, 203, 133)(97, 156, 231, 293, 233, 157)(101, 145, 207, 284, 238, 161)(103, 163, 190, 120, 189, 164)(107, 151, 226, 278, 244, 166)(112, 174, 251, 300, 254, 175)(114, 178, 255, 327, 257, 179)(116, 181, 258, 329, 261, 182)(119, 187, 265, 333, 267, 188)(123, 195, 273, 248, 272, 192)(136, 210, 288, 220, 268, 193)(137, 211, 290, 344, 292, 212)(141, 204, 271, 336, 297, 215)(148, 221, 302, 249, 171, 222)(152, 216, 298, 234, 308, 227)(160, 235, 259, 183, 262, 236)(162, 239, 318, 367, 320, 240)(167, 245, 324, 369, 321, 241)(176, 246, 295, 214, 294, 252)(196, 274, 339, 283, 219, 260)(197, 275, 341, 377, 343, 276)(200, 269, 330, 372, 346, 279)(217, 299, 359, 378, 334, 266)(223, 304, 350, 287, 349, 303)(228, 309, 364, 323, 345, 310)(230, 307, 361, 374, 342, 312)(232, 314, 366, 375, 352, 289)(237, 315, 357, 311, 365, 316)(243, 322, 370, 328, 256, 280)(250, 326, 371, 376, 332, 264)(253, 263, 331, 373, 335, 282)(285, 348, 381, 338, 380, 347)(291, 354, 305, 362, 382, 340)(296, 355, 306, 351, 384, 356)(313, 353, 383, 368, 319, 358)(317, 360, 379, 337, 325, 363)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 148)(92, 151)(93, 152)(95, 134)(99, 128)(100, 160)(102, 162)(104, 166)(105, 167)(106, 158)(108, 150)(109, 171)(110, 153)(111, 173)(113, 176)(115, 180)(117, 183)(118, 186)(121, 192)(122, 193)(124, 196)(125, 197)(127, 200)(129, 203)(130, 204)(131, 207)(135, 194)(139, 188)(140, 214)(142, 216)(143, 217)(146, 219)(147, 220)(149, 223)(154, 228)(155, 230)(156, 201)(157, 232)(159, 234)(161, 237)(163, 241)(164, 222)(165, 243)(168, 246)(169, 240)(170, 248)(172, 250)(174, 252)(175, 253)(177, 245)(178, 256)(179, 198)(181, 259)(182, 260)(184, 263)(185, 264)(187, 266)(189, 268)(190, 269)(191, 271)(195, 261)(199, 278)(202, 280)(205, 282)(206, 283)(208, 285)(209, 287)(210, 289)(211, 267)(212, 291)(213, 293)(215, 296)(218, 300)(221, 303)(224, 265)(225, 305)(226, 306)(227, 307)(229, 311)(231, 313)(233, 315)(235, 316)(236, 317)(238, 314)(239, 319)(242, 281)(244, 323)(247, 318)(249, 325)(251, 299)(254, 262)(255, 286)(257, 275)(258, 330)(270, 335)(272, 337)(273, 338)(274, 340)(276, 342)(277, 344)(279, 345)(284, 347)(288, 351)(290, 353)(292, 355)(294, 356)(295, 357)(297, 354)(298, 358)(301, 360)(302, 361)(304, 334)(308, 363)(309, 339)(310, 343)(312, 346)(320, 362)(321, 329)(322, 364)(324, 366)(326, 368)(327, 371)(328, 348)(331, 374)(332, 375)(333, 377)(336, 379)(341, 383)(349, 373)(350, 376)(352, 378)(359, 384)(365, 372)(367, 381)(369, 380)(370, 382)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.2321 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 4, 6})
Quotient :: halfedge
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X2^2, X1^4, (X1^-1 * X2)^6, (X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^2, X1 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 * X2 * X1 * X2 * X1, X2 * X1^-1 * X2 * X1^-2 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 109, 70)(43, 71, 88, 72)(45, 74, 115, 75)(46, 76, 96, 60)(47, 77, 119, 78)(52, 84, 126, 85)(61, 97, 81, 98)(63, 100, 145, 101)(64, 102, 130, 87)(66, 104, 144, 99)(67, 105, 152, 106)(68, 107, 155, 108)(73, 113, 164, 114)(80, 91, 134, 122)(83, 124, 177, 125)(90, 132, 188, 133)(93, 136, 187, 131)(94, 137, 195, 138)(95, 139, 198, 140)(103, 149, 211, 150)(110, 159, 117, 160)(111, 161, 226, 162)(112, 163, 213, 151)(116, 154, 217, 167)(118, 168, 234, 169)(120, 171, 238, 172)(121, 173, 241, 174)(123, 127, 181, 176)(128, 182, 251, 183)(129, 184, 254, 185)(135, 192, 264, 193)(141, 201, 147, 202)(142, 203, 276, 204)(143, 205, 266, 194)(146, 197, 270, 208)(148, 209, 284, 210)(153, 215, 265, 216)(156, 219, 259, 214)(157, 220, 296, 221)(158, 222, 299, 223)(165, 229, 255, 230)(166, 231, 309, 232)(170, 224, 302, 237)(175, 244, 179, 245)(178, 240, 316, 248)(180, 249, 322, 250)(186, 257, 190, 258)(189, 253, 326, 261)(191, 262, 332, 263)(196, 268, 323, 269)(199, 272, 246, 267)(200, 273, 342, 274)(206, 279, 242, 280)(207, 281, 351, 282)(212, 288, 239, 289)(218, 294, 330, 260)(225, 303, 333, 295)(227, 298, 352, 305)(228, 306, 369, 307)(233, 311, 236, 312)(235, 308, 329, 314)(243, 317, 366, 318)(247, 271, 340, 320)(252, 324, 315, 325)(256, 327, 375, 328)(275, 345, 300, 341)(277, 344, 376, 347)(278, 348, 310, 349)(283, 353, 286, 354)(285, 350, 319, 356)(287, 357, 371, 358)(290, 361, 292, 362)(291, 360, 372, 337)(293, 336, 381, 338)(297, 331, 377, 334)(301, 343, 321, 364)(304, 367, 373, 339)(313, 363, 378, 355)(335, 379, 365, 380)(346, 382, 359, 374)(368, 383, 370, 384)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 110)(71, 111)(72, 112)(74, 116)(75, 117)(76, 118)(77, 113)(78, 120)(79, 121)(82, 123)(84, 127)(85, 128)(86, 129)(89, 131)(92, 135)(96, 141)(97, 142)(98, 143)(100, 146)(101, 147)(102, 148)(104, 151)(105, 153)(106, 154)(107, 156)(108, 157)(109, 158)(114, 165)(115, 166)(119, 170)(122, 175)(124, 178)(125, 179)(126, 180)(130, 186)(132, 189)(133, 190)(134, 191)(136, 194)(137, 196)(138, 197)(139, 199)(140, 200)(144, 206)(145, 207)(149, 201)(150, 212)(152, 214)(155, 218)(159, 224)(160, 225)(161, 227)(162, 181)(163, 228)(164, 204)(167, 233)(168, 235)(169, 236)(171, 239)(172, 240)(173, 242)(174, 243)(176, 246)(177, 247)(182, 252)(183, 253)(184, 255)(185, 256)(187, 259)(188, 260)(192, 257)(193, 265)(195, 267)(198, 271)(202, 275)(203, 277)(205, 278)(208, 283)(209, 285)(210, 286)(211, 287)(213, 290)(215, 291)(216, 292)(217, 293)(219, 295)(220, 297)(221, 298)(222, 300)(223, 301)(226, 304)(229, 251)(230, 308)(231, 254)(232, 310)(234, 313)(237, 315)(238, 279)(241, 281)(244, 249)(245, 319)(248, 321)(250, 323)(258, 329)(261, 331)(262, 333)(263, 334)(264, 335)(266, 336)(268, 337)(269, 338)(270, 339)(272, 341)(273, 343)(274, 344)(276, 346)(280, 350)(282, 352)(284, 355)(288, 359)(289, 360)(294, 361)(296, 345)(299, 363)(302, 365)(303, 366)(305, 368)(306, 328)(307, 370)(309, 367)(311, 357)(312, 327)(314, 342)(316, 362)(317, 354)(318, 348)(320, 369)(322, 371)(324, 372)(325, 373)(326, 374)(330, 376)(332, 378)(340, 381)(347, 383)(349, 384)(351, 382)(353, 379)(356, 375)(358, 377)(364, 380)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2322 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2^-1 * X1)^6, (X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^2, X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-3 * X1 * X2^-1 * X1 * X2^-1, X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 9)(5, 10)(6, 12)(8, 15)(11, 20)(13, 23)(14, 25)(16, 28)(17, 30)(18, 31)(19, 33)(21, 36)(22, 38)(24, 41)(26, 44)(27, 46)(29, 49)(32, 54)(34, 57)(35, 59)(37, 62)(39, 64)(40, 66)(42, 69)(43, 71)(45, 74)(47, 77)(48, 79)(50, 82)(51, 52)(53, 85)(55, 88)(56, 90)(58, 93)(60, 96)(61, 98)(63, 101)(65, 103)(67, 106)(68, 108)(70, 92)(72, 112)(73, 89)(75, 116)(76, 118)(78, 120)(80, 99)(81, 122)(83, 125)(84, 126)(86, 129)(87, 131)(91, 135)(94, 139)(95, 141)(97, 143)(100, 145)(102, 148)(104, 151)(105, 152)(107, 155)(109, 158)(110, 160)(111, 161)(113, 163)(114, 164)(115, 166)(117, 154)(119, 170)(121, 173)(123, 176)(124, 178)(127, 182)(128, 183)(130, 186)(132, 189)(133, 191)(134, 192)(136, 194)(137, 195)(138, 197)(140, 185)(142, 201)(144, 204)(146, 207)(147, 209)(149, 211)(150, 213)(153, 216)(156, 220)(157, 222)(159, 224)(162, 227)(165, 230)(167, 233)(168, 235)(169, 236)(171, 239)(172, 241)(174, 243)(175, 245)(177, 247)(179, 248)(180, 249)(181, 251)(184, 254)(187, 258)(188, 260)(190, 262)(193, 265)(196, 268)(198, 271)(199, 273)(200, 274)(202, 277)(203, 279)(205, 281)(206, 283)(208, 285)(210, 286)(212, 289)(214, 292)(215, 293)(217, 255)(218, 295)(219, 272)(221, 288)(223, 300)(225, 303)(226, 305)(228, 282)(229, 307)(231, 310)(232, 311)(234, 257)(237, 308)(238, 315)(240, 301)(242, 318)(244, 266)(246, 320)(250, 324)(252, 327)(253, 328)(256, 330)(259, 323)(261, 335)(263, 338)(264, 340)(267, 342)(269, 345)(270, 346)(275, 343)(276, 350)(278, 336)(280, 353)(284, 355)(287, 322)(290, 325)(291, 358)(294, 348)(296, 360)(297, 347)(298, 349)(299, 337)(302, 334)(304, 356)(306, 354)(309, 361)(312, 332)(313, 329)(314, 333)(316, 363)(317, 352)(319, 341)(321, 339)(326, 372)(331, 374)(344, 375)(351, 377)(357, 384)(359, 376)(362, 373)(364, 382)(365, 379)(366, 380)(367, 383)(368, 378)(369, 381)(370, 371)(385, 387, 392, 388)(386, 389, 395, 390)(391, 397, 408, 398)(393, 400, 413, 401)(394, 402, 416, 403)(396, 405, 421, 406)(399, 410, 429, 411)(404, 418, 442, 419)(407, 423, 449, 424)(409, 426, 454, 427)(412, 431, 462, 432)(414, 434, 467, 435)(415, 436, 468, 437)(417, 439, 473, 440)(420, 444, 481, 445)(422, 447, 486, 448)(425, 451, 491, 452)(428, 456, 497, 457)(430, 459, 501, 460)(433, 464, 505, 465)(438, 470, 514, 471)(441, 475, 520, 476)(443, 478, 524, 479)(446, 483, 528, 484)(450, 488, 463, 489)(453, 493, 543, 494)(455, 495, 546, 496)(458, 498, 549, 499)(461, 502, 553, 503)(466, 507, 561, 508)(469, 511, 482, 512)(472, 516, 574, 517)(474, 518, 577, 519)(477, 521, 580, 522)(480, 525, 584, 526)(485, 530, 592, 531)(487, 533, 596, 534)(490, 537, 601, 538)(492, 540, 605, 541)(500, 551, 618, 552)(504, 555, 624, 556)(506, 558, 628, 559)(509, 548, 575, 563)(510, 564, 634, 565)(513, 568, 639, 569)(515, 571, 643, 572)(523, 582, 656, 583)(527, 586, 662, 587)(529, 589, 666, 590)(532, 579, 544, 594)(535, 598, 664, 588)(536, 599, 678, 600)(539, 602, 680, 603)(542, 606, 683, 607)(545, 609, 688, 610)(547, 612, 661, 613)(550, 615, 665, 616)(554, 621, 562, 622)(557, 566, 636, 626)(560, 629, 703, 630)(567, 637, 713, 638)(570, 640, 715, 641)(573, 644, 718, 645)(576, 647, 723, 648)(578, 650, 623, 651)(581, 653, 627, 654)(585, 659, 593, 660)(591, 667, 738, 668)(595, 671, 632, 672)(597, 674, 739, 675)(604, 681, 745, 682)(608, 685, 748, 686)(611, 679, 619, 690)(614, 692, 750, 693)(617, 695, 753, 696)(620, 697, 754, 698)(625, 700, 712, 701)(631, 673, 741, 705)(633, 706, 670, 707)(635, 709, 704, 710)(642, 716, 759, 717)(646, 720, 762, 721)(649, 714, 657, 725)(652, 727, 764, 728)(655, 730, 767, 731)(658, 732, 768, 733)(663, 735, 677, 736)(669, 708, 755, 740)(676, 742, 758, 743)(684, 746, 689, 747)(687, 726, 699, 749)(691, 734, 763, 722)(694, 751, 702, 752)(711, 756, 744, 757)(719, 760, 724, 761)(729, 765, 737, 766)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2323 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X1^4, (X1 * X2)^2, X2^6, X1^-1 * X2 * X1^-1 * X2^-1 * X1 * X2^-2 * X1^-1 * X2 * X1^-1 * X2 * X1^-1, (X2^2 * X1^-1)^4, (X2 * X1^-1)^8 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 6, 4)(3, 9, 21, 11)(5, 13, 18, 7)(8, 19, 33, 15)(10, 23, 47, 25)(12, 16, 34, 28)(14, 31, 58, 29)(17, 36, 69, 38)(20, 42, 77, 40)(22, 45, 82, 43)(24, 49, 92, 50)(26, 44, 83, 53)(27, 54, 100, 55)(30, 59, 75, 39)(32, 62, 114, 64)(35, 68, 122, 66)(37, 71, 130, 72)(41, 78, 120, 65)(46, 87, 151, 85)(48, 90, 156, 88)(51, 89, 124, 96)(52, 97, 168, 98)(56, 67, 123, 104)(57, 105, 121, 107)(60, 111, 118, 109)(61, 112, 184, 108)(63, 116, 192, 117)(70, 128, 205, 126)(73, 127, 84, 134)(74, 135, 217, 136)(76, 138, 81, 140)(79, 144, 102, 142)(80, 145, 226, 141)(86, 152, 232, 148)(91, 159, 244, 157)(93, 162, 247, 160)(94, 161, 204, 165)(95, 166, 229, 146)(99, 149, 233, 172)(101, 174, 258, 173)(103, 177, 262, 178)(106, 181, 266, 182)(110, 185, 221, 137)(113, 176, 219, 187)(115, 190, 273, 189)(119, 196, 283, 197)(125, 202, 288, 200)(129, 208, 294, 206)(131, 211, 297, 209)(132, 210, 186, 214)(133, 215, 290, 203)(139, 223, 308, 224)(143, 227, 286, 198)(147, 222, 302, 216)(150, 234, 155, 236)(153, 195, 170, 238)(154, 240, 320, 237)(158, 230, 313, 242)(163, 213, 300, 248)(164, 250, 323, 241)(167, 199, 180, 252)(169, 220, 305, 253)(171, 255, 335, 256)(175, 261, 339, 259)(179, 201, 289, 264)(183, 268, 330, 269)(188, 271, 337, 260)(191, 276, 347, 274)(193, 279, 349, 277)(194, 278, 228, 282)(207, 291, 360, 292)(212, 281, 352, 298)(218, 285, 355, 303)(225, 310, 367, 311)(231, 315, 375, 316)(235, 318, 350, 280)(239, 321, 345, 275)(243, 326, 246, 327)(245, 329, 272, 328)(249, 324, 351, 299)(251, 331, 361, 332)(254, 334, 354, 304)(257, 317, 356, 312)(263, 340, 353, 284)(265, 342, 377, 333)(267, 325, 374, 343)(270, 341, 359, 306)(287, 357, 381, 358)(293, 363, 296, 364)(295, 366, 314, 365)(301, 368, 322, 369)(307, 372, 344, 370)(309, 362, 382, 373)(319, 376, 338, 371)(336, 348, 380, 346)(378, 383, 379, 384)(385, 387, 394, 408, 398, 389)(386, 391, 401, 421, 404, 392)(388, 396, 411, 430, 406, 393)(390, 399, 416, 447, 419, 400)(395, 410, 436, 475, 432, 407)(397, 413, 441, 490, 444, 414)(402, 423, 458, 513, 454, 420)(403, 424, 460, 523, 463, 425)(405, 427, 465, 531, 468, 428)(409, 435, 479, 547, 477, 433)(412, 440, 487, 559, 485, 438)(415, 434, 478, 548, 497, 445)(417, 449, 503, 575, 499, 446)(418, 450, 505, 583, 508, 451)(422, 457, 517, 596, 515, 455)(426, 456, 516, 597, 530, 464)(429, 469, 534, 619, 537, 470)(431, 472, 539, 585, 507, 473)(437, 483, 555, 638, 553, 481)(439, 486, 560, 625, 538, 471)(442, 492, 567, 649, 564, 489)(443, 493, 498, 573, 570, 494)(448, 502, 579, 664, 577, 500)(452, 501, 578, 665, 587, 509)(453, 510, 588, 533, 467, 511)(459, 521, 604, 688, 602, 519)(461, 525, 609, 691, 606, 522)(462, 526, 484, 557, 612, 527)(466, 532, 615, 693, 607, 524)(474, 541, 627, 694, 610, 542)(476, 544, 630, 701, 617, 545)(480, 551, 635, 660, 581, 550)(482, 554, 495, 566, 629, 543)(488, 563, 647, 718, 640, 561)(491, 506, 584, 671, 651, 565)(496, 571, 601, 687, 656, 572)(504, 582, 669, 738, 668, 580)(512, 590, 677, 741, 672, 591)(514, 593, 680, 654, 569, 594)(518, 600, 685, 645, 562, 599)(520, 603, 528, 608, 679, 592)(529, 613, 667, 737, 698, 614)(535, 621, 703, 743, 673, 618)(536, 622, 552, 637, 706, 623)(540, 626, 709, 742, 702, 620)(546, 632, 714, 760, 704, 633)(549, 589, 676, 746, 700, 634)(556, 641, 720, 731, 716, 639)(558, 643, 722, 652, 568, 644)(574, 658, 730, 699, 616, 659)(576, 661, 732, 696, 611, 662)(586, 674, 646, 719, 745, 675)(595, 682, 751, 711, 631, 683)(598, 657, 729, 726, 653, 684)(605, 690, 755, 723, 753, 689)(624, 707, 759, 764, 733, 708)(628, 712, 739, 670, 740, 710)(636, 717, 762, 766, 744, 715)(642, 721, 756, 695, 736, 666)(648, 725, 747, 678, 749, 724)(650, 727, 763, 728, 655, 713)(663, 734, 765, 748, 681, 735)(686, 754, 767, 761, 705, 752)(692, 757, 768, 758, 697, 750)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: chiral
Dual of E17.2325
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2324 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X2 * X1^-1)^4, (X1^-1 * X2 * X1 * X2 * X1^-2 * X2)^2, X1^2 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^3 * X2 * X1, (X2 * X1^2 * X2 * X1^-2)^3, (X1^-1 * X2 * X1 * X2 * X1^-1)^4 ]
Map:: polytopal
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 111, 68, 39)(22, 40, 69, 115, 72, 41)(27, 49, 83, 124, 75, 43)(30, 52, 89, 147, 92, 53)(34, 59, 100, 159, 102, 60)(36, 63, 106, 169, 108, 64)(44, 76, 125, 184, 117, 70)(47, 79, 131, 206, 134, 80)(50, 85, 140, 213, 142, 86)(51, 87, 143, 180, 146, 88)(55, 95, 154, 224, 149, 90)(58, 98, 158, 198, 126, 99)(62, 104, 165, 242, 168, 105)(65, 109, 170, 247, 172, 110)(67, 71, 118, 185, 177, 113)(74, 121, 191, 270, 194, 122)(77, 127, 199, 277, 201, 128)(78, 129, 202, 173, 205, 130)(81, 135, 209, 286, 208, 132)(84, 138, 94, 153, 186, 139)(91, 150, 225, 301, 218, 144)(96, 155, 229, 281, 203, 133)(97, 156, 231, 293, 233, 157)(101, 145, 207, 284, 238, 161)(103, 163, 190, 120, 189, 164)(107, 151, 226, 278, 244, 166)(112, 174, 251, 300, 254, 175)(114, 178, 255, 327, 257, 179)(116, 181, 258, 329, 261, 182)(119, 187, 265, 333, 267, 188)(123, 195, 273, 248, 272, 192)(136, 210, 288, 220, 268, 193)(137, 211, 290, 344, 292, 212)(141, 204, 271, 336, 297, 215)(148, 221, 302, 249, 171, 222)(152, 216, 298, 234, 308, 227)(160, 235, 259, 183, 262, 236)(162, 239, 318, 367, 320, 240)(167, 245, 324, 369, 321, 241)(176, 246, 295, 214, 294, 252)(196, 274, 339, 283, 219, 260)(197, 275, 341, 377, 343, 276)(200, 269, 330, 372, 346, 279)(217, 299, 359, 378, 334, 266)(223, 304, 350, 287, 349, 303)(228, 309, 364, 323, 345, 310)(230, 307, 361, 374, 342, 312)(232, 314, 366, 375, 352, 289)(237, 315, 357, 311, 365, 316)(243, 322, 370, 328, 256, 280)(250, 326, 371, 376, 332, 264)(253, 263, 331, 373, 335, 282)(285, 348, 381, 338, 380, 347)(291, 354, 305, 362, 382, 340)(296, 355, 306, 351, 384, 356)(313, 353, 383, 368, 319, 358)(317, 360, 379, 337, 325, 363)(385, 387)(386, 390)(388, 393)(389, 396)(391, 400)(392, 401)(394, 405)(395, 406)(397, 410)(398, 411)(399, 414)(402, 418)(403, 420)(404, 415)(407, 427)(408, 428)(409, 431)(412, 434)(413, 435)(416, 439)(417, 442)(419, 446)(421, 449)(422, 451)(423, 447)(424, 454)(425, 455)(426, 458)(429, 461)(430, 462)(432, 465)(433, 468)(436, 474)(437, 475)(438, 478)(440, 480)(441, 481)(443, 485)(444, 482)(445, 487)(448, 491)(450, 496)(452, 498)(453, 500)(456, 503)(457, 504)(459, 507)(460, 510)(463, 516)(464, 517)(466, 520)(467, 521)(469, 525)(470, 522)(471, 528)(472, 529)(473, 532)(476, 535)(477, 536)(479, 518)(483, 512)(484, 544)(486, 546)(488, 550)(489, 551)(490, 542)(492, 534)(493, 555)(494, 537)(495, 557)(497, 560)(499, 564)(501, 567)(502, 570)(505, 576)(506, 577)(508, 580)(509, 581)(511, 584)(513, 587)(514, 588)(515, 591)(519, 578)(523, 572)(524, 598)(526, 600)(527, 601)(530, 603)(531, 604)(533, 607)(538, 612)(539, 614)(540, 585)(541, 616)(543, 618)(545, 621)(547, 625)(548, 606)(549, 627)(552, 630)(553, 624)(554, 632)(556, 634)(558, 636)(559, 637)(561, 629)(562, 640)(563, 582)(565, 643)(566, 644)(568, 647)(569, 648)(571, 650)(573, 652)(574, 653)(575, 655)(579, 645)(583, 662)(586, 664)(589, 666)(590, 667)(592, 669)(593, 671)(594, 673)(595, 651)(596, 675)(597, 677)(599, 680)(602, 684)(605, 687)(608, 649)(609, 689)(610, 690)(611, 691)(613, 695)(615, 697)(617, 699)(619, 700)(620, 701)(622, 698)(623, 703)(626, 665)(628, 707)(631, 702)(633, 709)(635, 683)(638, 646)(639, 670)(641, 659)(642, 714)(654, 719)(656, 721)(657, 722)(658, 724)(660, 726)(661, 728)(663, 729)(668, 731)(672, 735)(674, 737)(676, 739)(678, 740)(679, 741)(681, 738)(682, 742)(685, 744)(686, 745)(688, 718)(692, 747)(693, 723)(694, 727)(696, 730)(704, 746)(705, 713)(706, 748)(708, 750)(710, 752)(711, 755)(712, 732)(715, 758)(716, 759)(717, 761)(720, 763)(725, 767)(733, 757)(734, 760)(736, 762)(743, 768)(749, 756)(751, 765)(753, 764)(754, 766)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: chiral
Dual of E17.2326
Transitivity :: ET+
Graph:: simple bipartite
	v = 256 e = 384 f = 96
	degree seq :: [ 2^192, 6^64 ]

E17.2325 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X1^2, X2^4, (X2^-1 * X1)^6, (X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1)^2, X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-3 * X1 * X2^-1 * X1 * X2^-1, X2^-1 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^-1 * X1 * X2^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 10, 394)(6, 390, 12, 396)(8, 392, 15, 399)(11, 395, 20, 404)(13, 397, 23, 407)(14, 398, 25, 409)(16, 400, 28, 412)(17, 401, 30, 414)(18, 402, 31, 415)(19, 403, 33, 417)(21, 405, 36, 420)(22, 406, 38, 422)(24, 408, 41, 425)(26, 410, 44, 428)(27, 411, 46, 430)(29, 413, 49, 433)(32, 416, 54, 438)(34, 418, 57, 441)(35, 419, 59, 443)(37, 421, 62, 446)(39, 423, 64, 448)(40, 424, 66, 450)(42, 426, 69, 453)(43, 427, 71, 455)(45, 429, 74, 458)(47, 431, 77, 461)(48, 432, 79, 463)(50, 434, 82, 466)(51, 435, 52, 436)(53, 437, 85, 469)(55, 439, 88, 472)(56, 440, 90, 474)(58, 442, 93, 477)(60, 444, 96, 480)(61, 445, 98, 482)(63, 447, 101, 485)(65, 449, 103, 487)(67, 451, 106, 490)(68, 452, 108, 492)(70, 454, 92, 476)(72, 456, 112, 496)(73, 457, 89, 473)(75, 459, 116, 500)(76, 460, 118, 502)(78, 462, 120, 504)(80, 464, 99, 483)(81, 465, 122, 506)(83, 467, 125, 509)(84, 468, 126, 510)(86, 470, 129, 513)(87, 471, 131, 515)(91, 475, 135, 519)(94, 478, 139, 523)(95, 479, 141, 525)(97, 481, 143, 527)(100, 484, 145, 529)(102, 486, 148, 532)(104, 488, 151, 535)(105, 489, 152, 536)(107, 491, 155, 539)(109, 493, 158, 542)(110, 494, 160, 544)(111, 495, 161, 545)(113, 497, 163, 547)(114, 498, 164, 548)(115, 499, 166, 550)(117, 501, 154, 538)(119, 503, 170, 554)(121, 505, 173, 557)(123, 507, 176, 560)(124, 508, 178, 562)(127, 511, 182, 566)(128, 512, 183, 567)(130, 514, 186, 570)(132, 516, 189, 573)(133, 517, 191, 575)(134, 518, 192, 576)(136, 520, 194, 578)(137, 521, 195, 579)(138, 522, 197, 581)(140, 524, 185, 569)(142, 526, 201, 585)(144, 528, 204, 588)(146, 530, 207, 591)(147, 531, 209, 593)(149, 533, 211, 595)(150, 534, 213, 597)(153, 537, 216, 600)(156, 540, 220, 604)(157, 541, 222, 606)(159, 543, 224, 608)(162, 546, 227, 611)(165, 549, 230, 614)(167, 551, 233, 617)(168, 552, 235, 619)(169, 553, 236, 620)(171, 555, 239, 623)(172, 556, 241, 625)(174, 558, 243, 627)(175, 559, 245, 629)(177, 561, 247, 631)(179, 563, 248, 632)(180, 564, 249, 633)(181, 565, 251, 635)(184, 568, 254, 638)(187, 571, 258, 642)(188, 572, 260, 644)(190, 574, 262, 646)(193, 577, 265, 649)(196, 580, 268, 652)(198, 582, 271, 655)(199, 583, 273, 657)(200, 584, 274, 658)(202, 586, 277, 661)(203, 587, 279, 663)(205, 589, 281, 665)(206, 590, 283, 667)(208, 592, 285, 669)(210, 594, 286, 670)(212, 596, 289, 673)(214, 598, 292, 676)(215, 599, 293, 677)(217, 601, 255, 639)(218, 602, 295, 679)(219, 603, 272, 656)(221, 605, 288, 672)(223, 607, 300, 684)(225, 609, 303, 687)(226, 610, 305, 689)(228, 612, 282, 666)(229, 613, 307, 691)(231, 615, 310, 694)(232, 616, 311, 695)(234, 618, 257, 641)(237, 621, 308, 692)(238, 622, 315, 699)(240, 624, 301, 685)(242, 626, 318, 702)(244, 628, 266, 650)(246, 630, 320, 704)(250, 634, 324, 708)(252, 636, 327, 711)(253, 637, 328, 712)(256, 640, 330, 714)(259, 643, 323, 707)(261, 645, 335, 719)(263, 647, 338, 722)(264, 648, 340, 724)(267, 651, 342, 726)(269, 653, 345, 729)(270, 654, 346, 730)(275, 659, 343, 727)(276, 660, 350, 734)(278, 662, 336, 720)(280, 664, 353, 737)(284, 668, 355, 739)(287, 671, 322, 706)(290, 674, 325, 709)(291, 675, 358, 742)(294, 678, 348, 732)(296, 680, 360, 744)(297, 681, 347, 731)(298, 682, 349, 733)(299, 683, 337, 721)(302, 686, 334, 718)(304, 688, 356, 740)(306, 690, 354, 738)(309, 693, 361, 745)(312, 696, 332, 716)(313, 697, 329, 713)(314, 698, 333, 717)(316, 700, 363, 747)(317, 701, 352, 736)(319, 703, 341, 725)(321, 705, 339, 723)(326, 710, 372, 756)(331, 715, 374, 758)(344, 728, 375, 759)(351, 735, 377, 761)(357, 741, 384, 768)(359, 743, 376, 760)(362, 746, 373, 757)(364, 748, 382, 766)(365, 749, 379, 763)(366, 750, 380, 764)(367, 751, 383, 767)(368, 752, 378, 762)(369, 753, 381, 765)(370, 754, 371, 755)
	L = (1, 387)(2, 389)(3, 392)(4, 385)(5, 395)(6, 386)(7, 397)(8, 388)(9, 400)(10, 402)(11, 390)(12, 405)(13, 408)(14, 391)(15, 410)(16, 413)(17, 393)(18, 416)(19, 394)(20, 418)(21, 421)(22, 396)(23, 423)(24, 398)(25, 426)(26, 429)(27, 399)(28, 431)(29, 401)(30, 434)(31, 436)(32, 403)(33, 439)(34, 442)(35, 404)(36, 444)(37, 406)(38, 447)(39, 449)(40, 407)(41, 451)(42, 454)(43, 409)(44, 456)(45, 411)(46, 459)(47, 462)(48, 412)(49, 464)(50, 467)(51, 414)(52, 468)(53, 415)(54, 470)(55, 473)(56, 417)(57, 475)(58, 419)(59, 478)(60, 481)(61, 420)(62, 483)(63, 486)(64, 422)(65, 424)(66, 488)(67, 491)(68, 425)(69, 493)(70, 427)(71, 495)(72, 497)(73, 428)(74, 498)(75, 501)(76, 430)(77, 502)(78, 432)(79, 489)(80, 505)(81, 433)(82, 507)(83, 435)(84, 437)(85, 511)(86, 514)(87, 438)(88, 516)(89, 440)(90, 518)(91, 520)(92, 441)(93, 521)(94, 524)(95, 443)(96, 525)(97, 445)(98, 512)(99, 528)(100, 446)(101, 530)(102, 448)(103, 533)(104, 463)(105, 450)(106, 537)(107, 452)(108, 540)(109, 543)(110, 453)(111, 546)(112, 455)(113, 457)(114, 549)(115, 458)(116, 551)(117, 460)(118, 553)(119, 461)(120, 555)(121, 465)(122, 558)(123, 561)(124, 466)(125, 548)(126, 564)(127, 482)(128, 469)(129, 568)(130, 471)(131, 571)(132, 574)(133, 472)(134, 577)(135, 474)(136, 476)(137, 580)(138, 477)(139, 582)(140, 479)(141, 584)(142, 480)(143, 586)(144, 484)(145, 589)(146, 592)(147, 485)(148, 579)(149, 596)(150, 487)(151, 598)(152, 599)(153, 601)(154, 490)(155, 602)(156, 605)(157, 492)(158, 606)(159, 494)(160, 594)(161, 609)(162, 496)(163, 612)(164, 575)(165, 499)(166, 615)(167, 618)(168, 500)(169, 503)(170, 621)(171, 624)(172, 504)(173, 566)(174, 628)(175, 506)(176, 629)(177, 508)(178, 622)(179, 509)(180, 634)(181, 510)(182, 636)(183, 637)(184, 639)(185, 513)(186, 640)(187, 643)(188, 515)(189, 644)(190, 517)(191, 563)(192, 647)(193, 519)(194, 650)(195, 544)(196, 522)(197, 653)(198, 656)(199, 523)(200, 526)(201, 659)(202, 662)(203, 527)(204, 535)(205, 666)(206, 529)(207, 667)(208, 531)(209, 660)(210, 532)(211, 671)(212, 534)(213, 674)(214, 664)(215, 678)(216, 536)(217, 538)(218, 680)(219, 539)(220, 681)(221, 541)(222, 683)(223, 542)(224, 685)(225, 688)(226, 545)(227, 679)(228, 661)(229, 547)(230, 692)(231, 665)(232, 550)(233, 695)(234, 552)(235, 690)(236, 697)(237, 562)(238, 554)(239, 651)(240, 556)(241, 700)(242, 557)(243, 654)(244, 559)(245, 703)(246, 560)(247, 673)(248, 672)(249, 706)(250, 565)(251, 709)(252, 626)(253, 713)(254, 567)(255, 569)(256, 715)(257, 570)(258, 716)(259, 572)(260, 718)(261, 573)(262, 720)(263, 723)(264, 576)(265, 714)(266, 623)(267, 578)(268, 727)(269, 627)(270, 581)(271, 730)(272, 583)(273, 725)(274, 732)(275, 593)(276, 585)(277, 613)(278, 587)(279, 735)(280, 588)(281, 616)(282, 590)(283, 738)(284, 591)(285, 708)(286, 707)(287, 632)(288, 595)(289, 741)(290, 739)(291, 597)(292, 742)(293, 736)(294, 600)(295, 619)(296, 603)(297, 745)(298, 604)(299, 607)(300, 746)(301, 748)(302, 608)(303, 726)(304, 610)(305, 747)(306, 611)(307, 734)(308, 750)(309, 614)(310, 751)(311, 753)(312, 617)(313, 754)(314, 620)(315, 749)(316, 712)(317, 625)(318, 752)(319, 630)(320, 710)(321, 631)(322, 670)(323, 633)(324, 755)(325, 704)(326, 635)(327, 756)(328, 701)(329, 638)(330, 657)(331, 641)(332, 759)(333, 642)(334, 645)(335, 760)(336, 762)(337, 646)(338, 691)(339, 648)(340, 761)(341, 649)(342, 699)(343, 764)(344, 652)(345, 765)(346, 767)(347, 655)(348, 768)(349, 658)(350, 763)(351, 677)(352, 663)(353, 766)(354, 668)(355, 675)(356, 669)(357, 705)(358, 758)(359, 676)(360, 757)(361, 682)(362, 689)(363, 684)(364, 686)(365, 687)(366, 693)(367, 702)(368, 694)(369, 696)(370, 698)(371, 740)(372, 744)(373, 711)(374, 743)(375, 717)(376, 724)(377, 719)(378, 721)(379, 722)(380, 728)(381, 737)(382, 729)(383, 731)(384, 733)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: chiral
Dual of E17.2323
Transitivity :: ET+ VT+
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2326 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ (X2^-1 * X1^-1)^2, X1^4, X2^6, X2^-1 * X1^-2 * X2^-2 * X1^2 * X2 * X1^-1 * X2^-2 * X1, X2 * X1^-1 * X2^-1 * X1 * X2 * X1^-1 * X2^2 * X1^-2 * X2 * X1^-1, (X2^2 * X1^-1)^4, (X2 * X1^-1)^8 ]
Map::
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 58, 442, 29, 413)(17, 401, 36, 420, 69, 453, 38, 422)(20, 404, 42, 426, 77, 461, 40, 424)(22, 406, 45, 429, 82, 466, 43, 427)(24, 408, 49, 433, 92, 476, 50, 434)(26, 410, 44, 428, 83, 467, 53, 437)(27, 411, 54, 438, 100, 484, 55, 439)(30, 414, 59, 443, 75, 459, 39, 423)(32, 416, 62, 446, 114, 498, 64, 448)(35, 419, 68, 452, 122, 506, 66, 450)(37, 421, 71, 455, 130, 514, 72, 456)(41, 425, 78, 462, 120, 504, 65, 449)(46, 430, 87, 471, 154, 538, 85, 469)(48, 432, 90, 474, 115, 499, 88, 472)(51, 435, 89, 473, 158, 542, 96, 480)(52, 436, 97, 481, 125, 509, 98, 482)(56, 440, 67, 451, 123, 507, 104, 488)(57, 441, 105, 489, 178, 562, 107, 491)(60, 444, 111, 495, 184, 568, 109, 493)(61, 445, 112, 496, 119, 503, 108, 492)(63, 447, 116, 500, 191, 575, 117, 501)(70, 454, 128, 512, 101, 485, 126, 510)(73, 457, 127, 511, 205, 589, 134, 518)(74, 458, 135, 519, 86, 470, 136, 520)(76, 460, 138, 522, 220, 604, 140, 524)(79, 463, 144, 528, 226, 610, 142, 526)(80, 464, 145, 529, 103, 487, 141, 525)(81, 465, 147, 531, 231, 615, 149, 533)(84, 468, 152, 536, 236, 620, 150, 534)(91, 475, 161, 545, 250, 634, 160, 544)(93, 477, 164, 548, 218, 602, 162, 546)(94, 478, 163, 547, 252, 636, 167, 551)(95, 479, 168, 552, 229, 613, 146, 530)(99, 483, 151, 535, 237, 621, 172, 556)(102, 486, 173, 557, 260, 644, 176, 560)(106, 490, 180, 564, 266, 650, 181, 565)(110, 494, 185, 569, 219, 603, 137, 521)(113, 497, 175, 559, 262, 646, 187, 571)(118, 502, 189, 573, 273, 657, 195, 579)(121, 505, 197, 581, 284, 668, 199, 583)(124, 508, 202, 586, 289, 673, 200, 584)(129, 513, 208, 592, 297, 681, 207, 591)(131, 515, 211, 595, 179, 563, 209, 593)(132, 516, 210, 594, 299, 683, 214, 598)(133, 517, 215, 599, 170, 554, 203, 587)(139, 523, 222, 606, 308, 692, 223, 607)(143, 527, 227, 611, 283, 667, 196, 580)(148, 532, 232, 616, 316, 700, 233, 617)(153, 537, 239, 623, 322, 706, 241, 625)(155, 539, 194, 578, 281, 665, 217, 601)(156, 540, 243, 627, 171, 555, 242, 626)(157, 541, 190, 574, 188, 572, 246, 630)(159, 543, 248, 632, 330, 714, 247, 631)(165, 549, 213, 597, 302, 686, 254, 638)(166, 550, 255, 639, 326, 710, 244, 628)(169, 553, 224, 608, 307, 691, 258, 642)(174, 558, 230, 614, 293, 677, 204, 588)(177, 561, 201, 585, 290, 674, 264, 648)(182, 566, 265, 649, 341, 725, 263, 647)(183, 567, 268, 652, 320, 704, 238, 622)(186, 570, 225, 609, 310, 694, 270, 654)(192, 576, 277, 661, 221, 605, 275, 659)(193, 577, 276, 660, 347, 731, 280, 664)(198, 582, 285, 669, 356, 740, 286, 670)(206, 590, 295, 679, 365, 749, 294, 678)(212, 596, 279, 663, 350, 734, 301, 685)(216, 600, 287, 671, 355, 739, 305, 689)(228, 612, 288, 672, 358, 742, 312, 696)(234, 618, 315, 699, 353, 737, 282, 666)(235, 619, 318, 702, 360, 744, 291, 675)(240, 624, 324, 708, 349, 733, 278, 662)(245, 629, 327, 711, 372, 756, 328, 712)(249, 633, 331, 715, 378, 762, 332, 716)(251, 635, 334, 718, 257, 641, 333, 717)(253, 637, 336, 720, 267, 651, 335, 719)(256, 640, 325, 709, 351, 735, 303, 687)(259, 643, 321, 705, 354, 738, 313, 697)(261, 645, 339, 723, 376, 760, 338, 722)(269, 653, 319, 703, 359, 743, 311, 695)(271, 655, 342, 726, 361, 745, 306, 690)(272, 656, 343, 727, 352, 736, 329, 713)(274, 658, 346, 730, 380, 764, 345, 729)(292, 676, 362, 746, 382, 766, 363, 747)(296, 680, 366, 750, 337, 721, 367, 751)(298, 682, 369, 753, 304, 688, 368, 752)(300, 684, 371, 755, 309, 693, 370, 754)(314, 698, 373, 757, 340, 724, 364, 748)(317, 701, 375, 759, 323, 707, 374, 758)(344, 728, 357, 741, 381, 765, 348, 732)(377, 761, 383, 767, 379, 763, 384, 768)
	L = (1, 387)(2, 391)(3, 394)(4, 396)(5, 385)(6, 399)(7, 401)(8, 386)(9, 388)(10, 408)(11, 410)(12, 411)(13, 413)(14, 389)(15, 416)(16, 390)(17, 421)(18, 423)(19, 424)(20, 392)(21, 427)(22, 393)(23, 395)(24, 398)(25, 435)(26, 436)(27, 430)(28, 440)(29, 441)(30, 397)(31, 434)(32, 447)(33, 449)(34, 450)(35, 400)(36, 402)(37, 404)(38, 457)(39, 458)(40, 460)(41, 403)(42, 456)(43, 465)(44, 405)(45, 469)(46, 406)(47, 472)(48, 407)(49, 409)(50, 478)(51, 479)(52, 475)(53, 483)(54, 412)(55, 486)(56, 487)(57, 490)(58, 492)(59, 493)(60, 414)(61, 415)(62, 417)(63, 419)(64, 502)(65, 503)(66, 505)(67, 418)(68, 501)(69, 510)(70, 420)(71, 422)(72, 516)(73, 517)(74, 513)(75, 521)(76, 523)(77, 525)(78, 526)(79, 425)(80, 426)(81, 532)(82, 519)(83, 534)(84, 428)(85, 537)(86, 429)(87, 439)(88, 541)(89, 431)(90, 544)(91, 432)(92, 546)(93, 433)(94, 550)(95, 549)(96, 553)(97, 437)(98, 554)(99, 555)(100, 512)(101, 438)(102, 559)(103, 558)(104, 561)(105, 442)(106, 444)(107, 566)(108, 504)(109, 567)(110, 443)(111, 565)(112, 571)(113, 445)(114, 474)(115, 446)(116, 448)(117, 577)(118, 578)(119, 574)(120, 580)(121, 582)(122, 481)(123, 584)(124, 451)(125, 452)(126, 588)(127, 453)(128, 591)(129, 454)(130, 593)(131, 455)(132, 597)(133, 596)(134, 600)(135, 459)(136, 601)(137, 602)(138, 461)(139, 463)(140, 608)(141, 488)(142, 609)(143, 462)(144, 607)(145, 613)(146, 464)(147, 466)(148, 468)(149, 618)(150, 619)(151, 467)(152, 617)(153, 624)(154, 626)(155, 470)(156, 471)(157, 629)(158, 631)(159, 473)(160, 633)(161, 482)(162, 603)(163, 476)(164, 638)(165, 477)(166, 497)(167, 640)(168, 480)(169, 641)(170, 495)(171, 581)(172, 643)(173, 484)(174, 485)(175, 628)(176, 647)(177, 605)(178, 595)(179, 489)(180, 491)(181, 635)(182, 644)(183, 653)(184, 599)(185, 654)(186, 494)(187, 586)(188, 496)(189, 498)(190, 499)(191, 659)(192, 500)(193, 663)(194, 662)(195, 666)(196, 563)(197, 506)(198, 508)(199, 671)(200, 672)(201, 507)(202, 670)(203, 509)(204, 676)(205, 678)(206, 511)(207, 680)(208, 520)(209, 667)(210, 514)(211, 685)(212, 515)(213, 530)(214, 687)(215, 518)(216, 688)(217, 528)(218, 531)(219, 690)(220, 661)(221, 522)(222, 524)(223, 682)(224, 542)(225, 695)(226, 665)(227, 696)(228, 527)(229, 536)(230, 529)(231, 548)(232, 533)(233, 698)(234, 657)(235, 703)(236, 552)(237, 704)(238, 535)(239, 538)(240, 539)(241, 709)(242, 556)(243, 710)(244, 540)(245, 543)(246, 713)(247, 693)(248, 712)(249, 658)(250, 717)(251, 545)(252, 719)(253, 547)(254, 679)(255, 551)(256, 683)(257, 702)(258, 721)(259, 707)(260, 722)(261, 557)(262, 560)(263, 724)(264, 726)(265, 562)(266, 720)(267, 564)(268, 568)(269, 570)(270, 727)(271, 569)(272, 572)(273, 729)(274, 573)(275, 648)(276, 575)(277, 733)(278, 576)(279, 587)(280, 735)(281, 579)(282, 736)(283, 738)(284, 627)(285, 583)(286, 656)(287, 589)(288, 743)(289, 646)(290, 744)(291, 585)(292, 590)(293, 748)(294, 741)(295, 747)(296, 645)(297, 752)(298, 592)(299, 754)(300, 594)(301, 730)(302, 598)(303, 731)(304, 652)(305, 756)(306, 637)(307, 604)(308, 755)(309, 606)(310, 610)(311, 612)(312, 757)(313, 611)(314, 614)(315, 615)(316, 758)(317, 616)(318, 620)(319, 622)(320, 753)(321, 621)(322, 759)(323, 623)(324, 625)(325, 636)(326, 632)(327, 630)(328, 739)(329, 737)(330, 639)(331, 634)(332, 649)(333, 642)(334, 650)(335, 760)(336, 745)(337, 763)(338, 651)(339, 751)(340, 742)(341, 762)(342, 732)(343, 740)(344, 655)(345, 701)(346, 716)(347, 765)(348, 660)(349, 723)(350, 664)(351, 706)(352, 694)(353, 766)(354, 684)(355, 668)(356, 728)(357, 669)(358, 673)(359, 675)(360, 718)(361, 674)(362, 677)(363, 699)(364, 725)(365, 686)(366, 681)(367, 691)(368, 689)(369, 692)(370, 714)(371, 705)(372, 768)(373, 700)(374, 697)(375, 764)(376, 708)(377, 711)(378, 767)(379, 715)(380, 734)(381, 749)(382, 761)(383, 746)(384, 750)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: chiral
Dual of E17.2324
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 96 e = 384 f = 256
	degree seq :: [ 8^96 ]

E17.2327 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5677>$ (small group id <384, 5677>)
Aut   = $<384, 5677>$ (small group id <384, 5677>)
|r| :: 1
Presentation :: [ X2^2, X1^6, (X2 * X1^-1)^4, (X1^-1 * X2 * X1 * X2 * X1^-2 * X2)^2, X1^2 * X2 * X1^-3 * X2 * X1^-3 * X2 * X1^3 * X2 * X1, (X2 * X1^2 * X2 * X1^-2)^3, (X1^-1 * X2 * X1 * X2 * X1^-1)^4 ]
Map::
	R = (1, 385, 2, 386, 5, 389, 11, 395, 10, 394, 4, 388)(3, 387, 7, 391, 15, 399, 29, 413, 18, 402, 8, 392)(6, 390, 13, 397, 25, 409, 46, 430, 28, 412, 14, 398)(9, 393, 19, 403, 35, 419, 61, 445, 37, 421, 20, 404)(12, 396, 23, 407, 42, 426, 73, 457, 45, 429, 24, 408)(16, 400, 31, 415, 54, 438, 93, 477, 56, 440, 32, 416)(17, 401, 33, 417, 57, 441, 82, 466, 48, 432, 26, 410)(21, 405, 38, 422, 66, 450, 111, 495, 68, 452, 39, 423)(22, 406, 40, 424, 69, 453, 115, 499, 72, 456, 41, 425)(27, 411, 49, 433, 83, 467, 124, 508, 75, 459, 43, 427)(30, 414, 52, 436, 89, 473, 147, 531, 92, 476, 53, 437)(34, 418, 59, 443, 100, 484, 159, 543, 102, 486, 60, 444)(36, 420, 63, 447, 106, 490, 169, 553, 108, 492, 64, 448)(44, 428, 76, 460, 125, 509, 184, 568, 117, 501, 70, 454)(47, 431, 79, 463, 131, 515, 206, 590, 134, 518, 80, 464)(50, 434, 85, 469, 140, 524, 213, 597, 142, 526, 86, 470)(51, 435, 87, 471, 143, 527, 180, 564, 146, 530, 88, 472)(55, 439, 95, 479, 154, 538, 224, 608, 149, 533, 90, 474)(58, 442, 98, 482, 158, 542, 198, 582, 126, 510, 99, 483)(62, 446, 104, 488, 165, 549, 242, 626, 168, 552, 105, 489)(65, 449, 109, 493, 170, 554, 247, 631, 172, 556, 110, 494)(67, 451, 71, 455, 118, 502, 185, 569, 177, 561, 113, 497)(74, 458, 121, 505, 191, 575, 270, 654, 194, 578, 122, 506)(77, 461, 127, 511, 199, 583, 277, 661, 201, 585, 128, 512)(78, 462, 129, 513, 202, 586, 173, 557, 205, 589, 130, 514)(81, 465, 135, 519, 209, 593, 286, 670, 208, 592, 132, 516)(84, 468, 138, 522, 94, 478, 153, 537, 186, 570, 139, 523)(91, 475, 150, 534, 225, 609, 301, 685, 218, 602, 144, 528)(96, 480, 155, 539, 229, 613, 281, 665, 203, 587, 133, 517)(97, 481, 156, 540, 231, 615, 293, 677, 233, 617, 157, 541)(101, 485, 145, 529, 207, 591, 284, 668, 238, 622, 161, 545)(103, 487, 163, 547, 190, 574, 120, 504, 189, 573, 164, 548)(107, 491, 151, 535, 226, 610, 278, 662, 244, 628, 166, 550)(112, 496, 174, 558, 251, 635, 300, 684, 254, 638, 175, 559)(114, 498, 178, 562, 255, 639, 327, 711, 257, 641, 179, 563)(116, 500, 181, 565, 258, 642, 329, 713, 261, 645, 182, 566)(119, 503, 187, 571, 265, 649, 333, 717, 267, 651, 188, 572)(123, 507, 195, 579, 273, 657, 248, 632, 272, 656, 192, 576)(136, 520, 210, 594, 288, 672, 220, 604, 268, 652, 193, 577)(137, 521, 211, 595, 290, 674, 344, 728, 292, 676, 212, 596)(141, 525, 204, 588, 271, 655, 336, 720, 297, 681, 215, 599)(148, 532, 221, 605, 302, 686, 249, 633, 171, 555, 222, 606)(152, 536, 216, 600, 298, 682, 234, 618, 308, 692, 227, 611)(160, 544, 235, 619, 259, 643, 183, 567, 262, 646, 236, 620)(162, 546, 239, 623, 318, 702, 367, 751, 320, 704, 240, 624)(167, 551, 245, 629, 324, 708, 369, 753, 321, 705, 241, 625)(176, 560, 246, 630, 295, 679, 214, 598, 294, 678, 252, 636)(196, 580, 274, 658, 339, 723, 283, 667, 219, 603, 260, 644)(197, 581, 275, 659, 341, 725, 377, 761, 343, 727, 276, 660)(200, 584, 269, 653, 330, 714, 372, 756, 346, 730, 279, 663)(217, 601, 299, 683, 359, 743, 378, 762, 334, 718, 266, 650)(223, 607, 304, 688, 350, 734, 287, 671, 349, 733, 303, 687)(228, 612, 309, 693, 364, 748, 323, 707, 345, 729, 310, 694)(230, 614, 307, 691, 361, 745, 374, 758, 342, 726, 312, 696)(232, 616, 314, 698, 366, 750, 375, 759, 352, 736, 289, 673)(237, 621, 315, 699, 357, 741, 311, 695, 365, 749, 316, 700)(243, 627, 322, 706, 370, 754, 328, 712, 256, 640, 280, 664)(250, 634, 326, 710, 371, 755, 376, 760, 332, 716, 264, 648)(253, 637, 263, 647, 331, 715, 373, 757, 335, 719, 282, 666)(285, 669, 348, 732, 381, 765, 338, 722, 380, 764, 347, 731)(291, 675, 354, 738, 305, 689, 362, 746, 382, 766, 340, 724)(296, 680, 355, 739, 306, 690, 351, 735, 384, 768, 356, 740)(313, 697, 353, 737, 383, 767, 368, 752, 319, 703, 358, 742)(317, 701, 360, 744, 379, 763, 337, 721, 325, 709, 363, 747)
	L = (1, 387)(2, 390)(3, 385)(4, 393)(5, 396)(6, 386)(7, 400)(8, 401)(9, 388)(10, 405)(11, 406)(12, 389)(13, 410)(14, 411)(15, 414)(16, 391)(17, 392)(18, 418)(19, 420)(20, 415)(21, 394)(22, 395)(23, 427)(24, 428)(25, 431)(26, 397)(27, 398)(28, 434)(29, 435)(30, 399)(31, 404)(32, 439)(33, 442)(34, 402)(35, 446)(36, 403)(37, 449)(38, 451)(39, 447)(40, 454)(41, 455)(42, 458)(43, 407)(44, 408)(45, 461)(46, 462)(47, 409)(48, 465)(49, 468)(50, 412)(51, 413)(52, 474)(53, 475)(54, 478)(55, 416)(56, 480)(57, 481)(58, 417)(59, 485)(60, 482)(61, 487)(62, 419)(63, 423)(64, 491)(65, 421)(66, 496)(67, 422)(68, 498)(69, 500)(70, 424)(71, 425)(72, 503)(73, 504)(74, 426)(75, 507)(76, 510)(77, 429)(78, 430)(79, 516)(80, 517)(81, 432)(82, 520)(83, 521)(84, 433)(85, 525)(86, 522)(87, 528)(88, 529)(89, 532)(90, 436)(91, 437)(92, 535)(93, 536)(94, 438)(95, 518)(96, 440)(97, 441)(98, 444)(99, 512)(100, 544)(101, 443)(102, 546)(103, 445)(104, 550)(105, 551)(106, 542)(107, 448)(108, 534)(109, 555)(110, 537)(111, 557)(112, 450)(113, 560)(114, 452)(115, 564)(116, 453)(117, 567)(118, 570)(119, 456)(120, 457)(121, 576)(122, 577)(123, 459)(124, 580)(125, 581)(126, 460)(127, 584)(128, 483)(129, 587)(130, 588)(131, 591)(132, 463)(133, 464)(134, 479)(135, 578)(136, 466)(137, 467)(138, 470)(139, 572)(140, 598)(141, 469)(142, 600)(143, 601)(144, 471)(145, 472)(146, 603)(147, 604)(148, 473)(149, 607)(150, 492)(151, 476)(152, 477)(153, 494)(154, 612)(155, 614)(156, 585)(157, 616)(158, 490)(159, 618)(160, 484)(161, 621)(162, 486)(163, 625)(164, 606)(165, 627)(166, 488)(167, 489)(168, 630)(169, 624)(170, 632)(171, 493)(172, 634)(173, 495)(174, 636)(175, 637)(176, 497)(177, 629)(178, 640)(179, 582)(180, 499)(181, 643)(182, 644)(183, 501)(184, 647)(185, 648)(186, 502)(187, 650)(188, 523)(189, 652)(190, 653)(191, 655)(192, 505)(193, 506)(194, 519)(195, 645)(196, 508)(197, 509)(198, 563)(199, 662)(200, 511)(201, 540)(202, 664)(203, 513)(204, 514)(205, 666)(206, 667)(207, 515)(208, 669)(209, 671)(210, 673)(211, 651)(212, 675)(213, 677)(214, 524)(215, 680)(216, 526)(217, 527)(218, 684)(219, 530)(220, 531)(221, 687)(222, 548)(223, 533)(224, 649)(225, 689)(226, 690)(227, 691)(228, 538)(229, 695)(230, 539)(231, 697)(232, 541)(233, 699)(234, 543)(235, 700)(236, 701)(237, 545)(238, 698)(239, 703)(240, 553)(241, 547)(242, 665)(243, 549)(244, 707)(245, 561)(246, 552)(247, 702)(248, 554)(249, 709)(250, 556)(251, 683)(252, 558)(253, 559)(254, 646)(255, 670)(256, 562)(257, 659)(258, 714)(259, 565)(260, 566)(261, 579)(262, 638)(263, 568)(264, 569)(265, 608)(266, 571)(267, 595)(268, 573)(269, 574)(270, 719)(271, 575)(272, 721)(273, 722)(274, 724)(275, 641)(276, 726)(277, 728)(278, 583)(279, 729)(280, 586)(281, 626)(282, 589)(283, 590)(284, 731)(285, 592)(286, 639)(287, 593)(288, 735)(289, 594)(290, 737)(291, 596)(292, 739)(293, 597)(294, 740)(295, 741)(296, 599)(297, 738)(298, 742)(299, 635)(300, 602)(301, 744)(302, 745)(303, 605)(304, 718)(305, 609)(306, 610)(307, 611)(308, 747)(309, 723)(310, 727)(311, 613)(312, 730)(313, 615)(314, 622)(315, 617)(316, 619)(317, 620)(318, 631)(319, 623)(320, 746)(321, 713)(322, 748)(323, 628)(324, 750)(325, 633)(326, 752)(327, 755)(328, 732)(329, 705)(330, 642)(331, 758)(332, 759)(333, 761)(334, 688)(335, 654)(336, 763)(337, 656)(338, 657)(339, 693)(340, 658)(341, 767)(342, 660)(343, 694)(344, 661)(345, 663)(346, 696)(347, 668)(348, 712)(349, 757)(350, 760)(351, 672)(352, 762)(353, 674)(354, 681)(355, 676)(356, 678)(357, 679)(358, 682)(359, 768)(360, 685)(361, 686)(362, 704)(363, 692)(364, 706)(365, 756)(366, 708)(367, 765)(368, 710)(369, 764)(370, 766)(371, 711)(372, 749)(373, 733)(374, 715)(375, 716)(376, 734)(377, 717)(378, 736)(379, 720)(380, 753)(381, 751)(382, 754)(383, 725)(384, 743)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 12^64 ]

E17.2328 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, (T2 * T1^2)^4, T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T1^2 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^3 * T2 * T1, (T2 * T1^2 * T2 * T1^-2)^3, (T2 * T1 * T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 109, 68, 39)(22, 40, 69, 112, 72, 41)(27, 49, 83, 120, 75, 43)(30, 52, 89, 141, 92, 53)(34, 59, 100, 118, 74, 60)(36, 63, 105, 162, 107, 64)(44, 76, 121, 173, 114, 70)(47, 79, 65, 108, 129, 80)(50, 85, 135, 171, 113, 86)(51, 87, 137, 170, 140, 88)(55, 95, 147, 208, 142, 90)(58, 98, 119, 180, 154, 99)(62, 103, 116, 176, 161, 104)(67, 71, 115, 174, 169, 111)(77, 123, 185, 167, 110, 124)(78, 125, 187, 166, 190, 126)(81, 130, 193, 146, 94, 127)(84, 133, 172, 243, 200, 134)(91, 143, 209, 245, 204, 138)(96, 149, 219, 247, 203, 150)(97, 151, 206, 242, 223, 152)(101, 139, 205, 244, 228, 156)(102, 157, 178, 117, 177, 158)(106, 163, 234, 246, 175, 159)(122, 183, 168, 240, 257, 184)(128, 191, 264, 233, 261, 188)(131, 195, 271, 207, 260, 196)(132, 197, 263, 239, 275, 198)(136, 189, 262, 241, 280, 202)(144, 211, 258, 226, 155, 212)(145, 213, 248, 179, 250, 214)(148, 217, 281, 314, 294, 218)(153, 224, 299, 313, 282, 221)(160, 231, 255, 182, 254, 229)(164, 236, 259, 186, 249, 237)(165, 230, 253, 181, 252, 238)(192, 266, 232, 278, 201, 267)(194, 269, 324, 283, 333, 270)(199, 276, 338, 312, 325, 273)(210, 285, 227, 304, 322, 286)(215, 290, 317, 251, 316, 288)(216, 291, 315, 303, 323, 292)(220, 289, 346, 305, 320, 296)(222, 297, 344, 284, 335, 272)(225, 301, 337, 287, 334, 302)(235, 308, 319, 256, 321, 309)(265, 327, 279, 343, 307, 328)(268, 330, 298, 342, 295, 331)(274, 336, 310, 326, 361, 318)(277, 340, 306, 329, 311, 341)(293, 350, 362, 358, 375, 348)(300, 355, 368, 345, 370, 356)(332, 366, 351, 374, 353, 364)(339, 371, 380, 363, 359, 372)(347, 365, 352, 373, 354, 376)(349, 369, 357, 360, 379, 367)(377, 381, 384, 383, 378, 382)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 102)(64, 106)(66, 110)(68, 89)(69, 113)(72, 116)(73, 117)(75, 119)(76, 122)(79, 127)(80, 128)(82, 131)(83, 132)(85, 136)(86, 133)(87, 138)(88, 139)(92, 144)(93, 145)(95, 148)(99, 153)(100, 155)(103, 159)(104, 160)(105, 142)(107, 164)(108, 165)(109, 166)(111, 168)(112, 170)(114, 172)(115, 175)(118, 179)(120, 181)(121, 182)(123, 186)(124, 183)(125, 188)(126, 189)(129, 192)(130, 194)(134, 199)(135, 201)(137, 203)(140, 206)(141, 207)(143, 210)(146, 215)(147, 216)(149, 220)(150, 217)(151, 221)(152, 222)(154, 225)(156, 227)(157, 229)(158, 230)(161, 232)(162, 233)(163, 235)(167, 239)(169, 241)(171, 242)(173, 244)(174, 245)(176, 247)(177, 248)(178, 249)(180, 251)(184, 256)(185, 258)(187, 260)(190, 263)(191, 265)(193, 268)(195, 272)(196, 269)(197, 273)(198, 274)(200, 277)(202, 279)(204, 281)(205, 282)(208, 283)(209, 284)(211, 287)(212, 285)(213, 288)(214, 289)(218, 293)(219, 295)(223, 298)(224, 300)(226, 303)(228, 305)(231, 306)(234, 307)(236, 310)(237, 308)(238, 311)(240, 312)(243, 313)(246, 314)(250, 315)(252, 318)(253, 316)(254, 319)(255, 320)(257, 322)(259, 323)(261, 324)(262, 325)(264, 326)(266, 329)(267, 327)(270, 332)(271, 334)(275, 337)(276, 339)(278, 342)(280, 344)(286, 345)(290, 347)(291, 348)(292, 349)(294, 351)(296, 352)(297, 353)(299, 354)(301, 357)(302, 355)(304, 358)(309, 359)(317, 360)(321, 362)(328, 363)(330, 364)(331, 365)(333, 367)(335, 368)(336, 369)(338, 370)(340, 373)(341, 371)(343, 374)(346, 375)(350, 377)(356, 378)(361, 380)(366, 381)(372, 382)(376, 383)(379, 384)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2329
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.2329 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, T1^2 * T2 * T1^-4 * T2 * T1^2, T1^-1 * T2 * T1^-2 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-1, (T1^-1 * T2)^6, T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1, (T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1 * T2 * T1)^2, T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 52, 40)(29, 48, 76, 49)(30, 50, 79, 51)(32, 53, 81, 54)(33, 55, 84, 56)(34, 57, 47, 58)(42, 68, 103, 69)(43, 70, 105, 71)(45, 73, 108, 74)(46, 75, 90, 60)(61, 91, 134, 92)(63, 94, 137, 95)(64, 96, 120, 82)(65, 97, 141, 98)(66, 99, 144, 100)(67, 101, 72, 102)(77, 86, 126, 113)(78, 114, 165, 115)(80, 117, 168, 118)(83, 121, 174, 122)(85, 124, 177, 125)(87, 127, 181, 128)(88, 129, 184, 130)(89, 131, 93, 132)(104, 150, 213, 151)(106, 153, 216, 154)(107, 155, 202, 142)(109, 146, 206, 157)(110, 158, 221, 159)(111, 160, 191, 161)(112, 162, 116, 163)(119, 171, 123, 172)(133, 189, 156, 190)(135, 192, 263, 193)(136, 194, 252, 182)(138, 186, 256, 196)(139, 197, 268, 198)(140, 199, 241, 200)(143, 203, 246, 178)(145, 176, 244, 205)(147, 207, 237, 208)(148, 209, 238, 210)(149, 211, 152, 212)(164, 228, 245, 229)(166, 231, 303, 232)(167, 233, 255, 185)(169, 183, 253, 234)(170, 235, 308, 236)(173, 239, 195, 240)(175, 242, 313, 243)(179, 247, 318, 248)(180, 249, 230, 250)(187, 257, 226, 258)(188, 259, 227, 260)(201, 251, 204, 254)(214, 283, 322, 284)(215, 285, 321, 277)(217, 280, 320, 287)(218, 288, 319, 289)(219, 290, 317, 291)(220, 292, 316, 293)(222, 295, 315, 296)(223, 297, 314, 279)(224, 278, 312, 298)(225, 299, 311, 300)(261, 331, 282, 332)(262, 333, 281, 327)(264, 330, 310, 335)(265, 336, 309, 337)(266, 338, 307, 339)(267, 340, 306, 341)(269, 343, 305, 344)(270, 345, 304, 329)(271, 328, 302, 346)(272, 347, 301, 348)(273, 349, 286, 324)(274, 325, 368, 350)(275, 342, 367, 326)(276, 323, 294, 334)(351, 369, 366, 384)(352, 379, 365, 374)(353, 375, 364, 378)(354, 377, 363, 376)(355, 373, 362, 380)(356, 383, 361, 370)(357, 371, 360, 382)(358, 381, 359, 372)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 65)(40, 66)(41, 67)(44, 72)(48, 77)(49, 78)(50, 80)(51, 68)(53, 82)(54, 83)(55, 85)(56, 86)(57, 87)(58, 88)(59, 89)(62, 93)(69, 104)(70, 106)(71, 107)(73, 109)(74, 110)(75, 111)(76, 112)(79, 116)(81, 119)(84, 123)(90, 133)(91, 135)(92, 136)(94, 138)(95, 139)(96, 140)(97, 142)(98, 143)(99, 145)(100, 146)(101, 147)(102, 148)(103, 149)(105, 152)(108, 156)(113, 164)(114, 166)(115, 167)(117, 169)(118, 170)(120, 173)(121, 175)(122, 176)(124, 178)(125, 179)(126, 180)(127, 182)(128, 183)(129, 185)(130, 186)(131, 187)(132, 188)(134, 191)(137, 195)(141, 201)(144, 204)(150, 214)(151, 215)(153, 217)(154, 218)(155, 219)(157, 220)(158, 222)(159, 223)(160, 224)(161, 225)(162, 226)(163, 227)(165, 230)(168, 213)(171, 237)(172, 238)(174, 241)(177, 245)(181, 251)(184, 254)(189, 261)(190, 262)(192, 264)(193, 265)(194, 266)(196, 267)(197, 269)(198, 270)(199, 271)(200, 272)(202, 273)(203, 274)(205, 275)(206, 276)(207, 277)(208, 278)(209, 279)(210, 280)(211, 281)(212, 282)(216, 286)(221, 294)(228, 301)(229, 302)(231, 304)(232, 305)(233, 306)(234, 307)(235, 309)(236, 310)(239, 311)(240, 312)(242, 314)(243, 315)(244, 316)(246, 317)(247, 319)(248, 320)(249, 321)(250, 322)(252, 323)(253, 324)(255, 325)(256, 326)(257, 327)(258, 328)(259, 329)(260, 330)(263, 334)(268, 342)(283, 351)(284, 352)(285, 353)(287, 354)(288, 355)(289, 356)(290, 357)(291, 358)(292, 359)(293, 360)(295, 361)(296, 362)(297, 363)(298, 364)(299, 365)(300, 366)(303, 350)(308, 349)(313, 367)(318, 368)(331, 369)(332, 370)(333, 371)(335, 372)(336, 373)(337, 374)(338, 375)(339, 376)(340, 377)(341, 378)(343, 379)(344, 380)(345, 381)(346, 382)(347, 383)(348, 384)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2328
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2330 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, (T2^-1 * T1)^6, (T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * 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, 70, 43)(28, 47, 77, 48)(30, 50, 80, 51)(31, 52, 81, 53)(33, 55, 86, 56)(36, 60, 93, 61)(38, 63, 96, 64)(41, 67, 49, 68)(44, 72, 107, 73)(46, 74, 110, 75)(54, 83, 62, 84)(57, 88, 129, 89)(59, 90, 132, 91)(66, 98, 144, 99)(69, 102, 151, 103)(71, 105, 154, 106)(76, 111, 161, 112)(78, 114, 166, 115)(79, 116, 169, 117)(82, 120, 174, 121)(85, 124, 181, 125)(87, 127, 184, 128)(92, 133, 191, 134)(94, 136, 196, 137)(95, 138, 199, 139)(97, 141, 104, 142)(100, 146, 207, 147)(101, 148, 210, 149)(108, 156, 222, 157)(109, 158, 223, 159)(113, 163, 118, 164)(119, 171, 126, 172)(122, 176, 243, 177)(123, 178, 246, 179)(130, 186, 258, 187)(131, 188, 259, 189)(135, 193, 140, 194)(143, 203, 278, 204)(145, 205, 281, 206)(150, 211, 284, 212)(152, 214, 289, 215)(153, 216, 292, 217)(155, 219, 160, 220)(162, 226, 296, 227)(165, 230, 304, 231)(167, 233, 283, 209)(168, 208, 282, 234)(170, 235, 309, 236)(173, 239, 316, 240)(175, 241, 319, 242)(180, 247, 322, 248)(182, 250, 327, 251)(183, 252, 330, 253)(185, 255, 190, 256)(192, 262, 334, 263)(195, 266, 342, 267)(197, 269, 321, 245)(198, 244, 320, 270)(200, 271, 347, 272)(201, 273, 228, 274)(202, 275, 229, 276)(213, 286, 218, 287)(221, 294, 365, 295)(224, 297, 366, 298)(225, 299, 232, 300)(237, 311, 264, 312)(238, 313, 265, 314)(249, 324, 254, 325)(257, 332, 383, 333)(260, 335, 384, 336)(261, 337, 268, 338)(277, 351, 310, 352)(279, 353, 308, 354)(280, 355, 307, 356)(285, 357, 306, 358)(288, 359, 305, 360)(290, 361, 303, 350)(291, 349, 302, 362)(293, 363, 301, 364)(315, 369, 348, 370)(317, 371, 346, 372)(318, 373, 345, 374)(323, 375, 344, 376)(326, 377, 343, 378)(328, 379, 341, 368)(329, 367, 340, 380)(331, 381, 339, 382)(385, 386)(387, 391)(388, 393)(389, 394)(390, 396)(392, 399)(395, 404)(397, 407)(398, 409)(400, 412)(401, 414)(402, 415)(403, 417)(405, 420)(406, 422)(408, 425)(410, 428)(411, 430)(413, 433)(416, 438)(418, 441)(419, 443)(421, 446)(423, 448)(424, 450)(426, 453)(427, 455)(429, 442)(431, 460)(432, 462)(434, 463)(435, 436)(437, 466)(439, 469)(440, 471)(444, 476)(445, 478)(447, 479)(449, 481)(451, 484)(452, 485)(454, 488)(456, 490)(457, 492)(458, 493)(459, 495)(461, 497)(464, 502)(465, 503)(467, 506)(468, 507)(470, 510)(472, 512)(473, 514)(474, 515)(475, 517)(477, 519)(480, 524)(482, 527)(483, 529)(486, 534)(487, 536)(489, 537)(491, 539)(494, 544)(496, 546)(498, 549)(499, 551)(500, 552)(501, 554)(504, 557)(505, 559)(508, 564)(509, 566)(511, 567)(513, 569)(516, 574)(518, 576)(520, 579)(521, 581)(522, 582)(523, 584)(525, 585)(526, 586)(528, 583)(530, 590)(531, 592)(532, 593)(533, 595)(535, 597)(538, 602)(540, 605)(541, 572)(542, 571)(543, 608)(545, 609)(547, 612)(548, 613)(550, 616)(553, 558)(555, 621)(556, 622)(560, 626)(561, 628)(562, 629)(563, 631)(565, 633)(568, 638)(570, 641)(573, 644)(575, 645)(577, 648)(578, 649)(580, 652)(587, 661)(588, 663)(589, 664)(591, 639)(594, 640)(596, 669)(598, 672)(599, 674)(600, 675)(601, 677)(603, 627)(604, 630)(606, 676)(607, 680)(610, 685)(611, 686)(614, 687)(615, 689)(617, 690)(618, 691)(619, 692)(620, 694)(623, 699)(624, 701)(625, 702)(632, 707)(634, 710)(635, 712)(636, 713)(637, 715)(642, 714)(643, 718)(646, 723)(647, 724)(650, 725)(651, 727)(653, 728)(654, 729)(655, 730)(656, 732)(657, 695)(658, 733)(659, 734)(660, 735)(662, 722)(665, 721)(666, 708)(667, 716)(668, 720)(670, 704)(671, 731)(673, 719)(678, 705)(679, 726)(681, 711)(682, 706)(683, 703)(684, 700)(688, 717)(693, 709)(696, 751)(697, 752)(698, 753)(736, 766)(737, 761)(738, 756)(739, 757)(740, 760)(741, 759)(742, 758)(743, 755)(744, 762)(745, 765)(746, 764)(747, 763)(748, 754)(749, 768)(750, 767)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2334
Transitivity :: ET+
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2331 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T1 * T2^-1)^4, (T2^-1 * T1 * T2^-1)^4, (T2^-1 * T1 * T2^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 61, 35, 16)(11, 26, 52, 86, 48, 23)(13, 29, 56, 97, 58, 30)(18, 39, 72, 115, 68, 36)(19, 40, 73, 122, 75, 41)(21, 43, 77, 128, 79, 44)(25, 51, 90, 145, 88, 49)(28, 55, 95, 151, 93, 53)(31, 50, 89, 146, 101, 59)(33, 63, 107, 162, 103, 60)(34, 64, 108, 169, 110, 65)(38, 71, 119, 183, 117, 69)(42, 70, 118, 184, 126, 76)(45, 80, 132, 199, 134, 81)(47, 83, 136, 204, 138, 84)(54, 94, 152, 202, 135, 82)(57, 99, 158, 222, 155, 96)(62, 106, 166, 234, 164, 104)(66, 105, 165, 235, 173, 111)(67, 112, 174, 243, 176, 113)(74, 124, 190, 256, 187, 121)(78, 130, 196, 262, 192, 127)(85, 139, 207, 277, 209, 140)(87, 142, 211, 280, 213, 143)(91, 147, 100, 157, 210, 141)(92, 148, 215, 283, 217, 149)(98, 144, 214, 281, 224, 156)(102, 159, 225, 292, 227, 160)(109, 171, 241, 305, 238, 168)(114, 177, 246, 314, 248, 178)(116, 180, 250, 317, 252, 181)(120, 185, 125, 189, 249, 179)(123, 182, 253, 318, 258, 188)(129, 195, 266, 330, 264, 193)(131, 194, 265, 219, 153, 197)(133, 201, 270, 332, 268, 198)(137, 206, 275, 336, 272, 203)(150, 218, 285, 333, 269, 200)(154, 220, 287, 339, 279, 212)(161, 228, 295, 351, 297, 229)(163, 231, 299, 354, 301, 232)(167, 236, 172, 240, 298, 230)(170, 233, 302, 355, 307, 239)(175, 245, 312, 362, 309, 242)(186, 254, 319, 365, 316, 251)(191, 259, 323, 368, 325, 260)(205, 274, 223, 290, 337, 273)(208, 278, 221, 289, 338, 276)(216, 267, 331, 372, 341, 282)(226, 294, 349, 377, 346, 291)(237, 303, 356, 380, 353, 300)(244, 311, 257, 322, 363, 310)(247, 315, 255, 321, 364, 313)(261, 326, 370, 343, 286, 327)(263, 328, 371, 342, 284, 329)(271, 334, 373, 344, 288, 335)(293, 348, 306, 359, 378, 347)(296, 352, 304, 358, 379, 350)(308, 360, 382, 366, 320, 361)(324, 369, 340, 374, 383, 367)(345, 375, 384, 381, 357, 376)(385, 386, 390, 388)(387, 393, 405, 395)(389, 397, 402, 391)(392, 403, 417, 399)(394, 407, 431, 409)(396, 400, 418, 412)(398, 415, 441, 413)(401, 420, 451, 422)(404, 426, 458, 424)(406, 429, 462, 427)(408, 433, 471, 434)(410, 428, 447, 425)(411, 437, 476, 438)(414, 439, 449, 423)(416, 444, 486, 446)(419, 450, 493, 448)(421, 453, 500, 454)(430, 466, 517, 464)(432, 469, 521, 467)(435, 468, 514, 465)(436, 459, 509, 475)(440, 480, 538, 482)(442, 484, 537, 479)(443, 455, 497, 483)(445, 488, 547, 489)(452, 498, 559, 496)(456, 494, 556, 504)(457, 505, 570, 507)(460, 490, 544, 508)(461, 511, 575, 513)(463, 515, 551, 491)(470, 525, 592, 523)(472, 528, 596, 526)(473, 527, 590, 524)(474, 518, 550, 510)(477, 534, 600, 532)(478, 533, 555, 495)(481, 540, 607, 541)(485, 536, 557, 503)(487, 545, 610, 543)(492, 552, 621, 554)(499, 563, 631, 561)(501, 566, 635, 564)(502, 565, 629, 562)(506, 572, 641, 573)(512, 577, 647, 578)(516, 582, 651, 584)(519, 579, 644, 585)(520, 587, 655, 589)(522, 574, 611, 580)(529, 568, 632, 598)(530, 593, 650, 586)(531, 569, 620, 581)(535, 603, 670, 602)(539, 605, 672, 604)(542, 560, 625, 601)(546, 614, 680, 612)(548, 617, 684, 615)(549, 616, 678, 613)(553, 623, 690, 624)(558, 626, 692, 628)(567, 619, 681, 637)(571, 639, 704, 638)(576, 645, 708, 643)(583, 653, 686, 618)(588, 657, 705, 640)(591, 660, 706, 642)(594, 658, 719, 662)(595, 663, 696, 636)(597, 654, 709, 659)(599, 666, 724, 668)(606, 667, 726, 673)(608, 669, 727, 674)(609, 675, 729, 677)(622, 688, 741, 687)(627, 694, 742, 689)(630, 697, 743, 691)(633, 695, 745, 699)(634, 700, 733, 685)(646, 676, 731, 710)(648, 679, 734, 712)(649, 713, 753, 711)(652, 683, 737, 715)(656, 703, 750, 718)(661, 702, 735, 714)(664, 701, 738, 716)(665, 698, 739, 717)(671, 728, 758, 725)(682, 732, 760, 736)(693, 740, 765, 744)(707, 751, 759, 730)(720, 752, 761, 749)(721, 754, 762, 748)(722, 755, 763, 747)(723, 756, 764, 746)(757, 766, 768, 767)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2335
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2332 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T2 * T1^2)^4, T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T1^2 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^3 * T2 * T1, (T2 * T1^2 * T2 * T1^-2)^3, (T2 * T1 * T2 * T1^-2)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 102)(64, 106)(66, 110)(68, 89)(69, 113)(72, 116)(73, 117)(75, 119)(76, 122)(79, 127)(80, 128)(82, 131)(83, 132)(85, 136)(86, 133)(87, 138)(88, 139)(92, 144)(93, 145)(95, 148)(99, 153)(100, 155)(103, 159)(104, 160)(105, 142)(107, 164)(108, 165)(109, 166)(111, 168)(112, 170)(114, 172)(115, 175)(118, 179)(120, 181)(121, 182)(123, 186)(124, 183)(125, 188)(126, 189)(129, 192)(130, 194)(134, 199)(135, 201)(137, 203)(140, 206)(141, 207)(143, 210)(146, 215)(147, 216)(149, 220)(150, 217)(151, 221)(152, 222)(154, 225)(156, 227)(157, 229)(158, 230)(161, 232)(162, 233)(163, 235)(167, 239)(169, 241)(171, 242)(173, 244)(174, 245)(176, 247)(177, 248)(178, 249)(180, 251)(184, 256)(185, 258)(187, 260)(190, 263)(191, 265)(193, 268)(195, 272)(196, 269)(197, 273)(198, 274)(200, 277)(202, 279)(204, 281)(205, 282)(208, 283)(209, 284)(211, 287)(212, 285)(213, 288)(214, 289)(218, 293)(219, 295)(223, 298)(224, 300)(226, 303)(228, 305)(231, 306)(234, 307)(236, 310)(237, 308)(238, 311)(240, 312)(243, 313)(246, 314)(250, 315)(252, 318)(253, 316)(254, 319)(255, 320)(257, 322)(259, 323)(261, 324)(262, 325)(264, 326)(266, 329)(267, 327)(270, 332)(271, 334)(275, 337)(276, 339)(278, 342)(280, 344)(286, 345)(290, 347)(291, 348)(292, 349)(294, 351)(296, 352)(297, 353)(299, 354)(301, 357)(302, 355)(304, 358)(309, 359)(317, 360)(321, 362)(328, 363)(330, 364)(331, 365)(333, 367)(335, 368)(336, 369)(338, 370)(340, 373)(341, 371)(343, 374)(346, 375)(350, 377)(356, 378)(361, 380)(366, 381)(372, 382)(376, 383)(379, 384)(385, 386, 389, 395, 394, 388)(387, 391, 399, 413, 402, 392)(390, 397, 409, 430, 412, 398)(393, 403, 419, 445, 421, 404)(396, 407, 426, 457, 429, 408)(400, 415, 438, 477, 440, 416)(401, 417, 441, 466, 432, 410)(405, 422, 450, 493, 452, 423)(406, 424, 453, 496, 456, 425)(411, 433, 467, 504, 459, 427)(414, 436, 473, 525, 476, 437)(418, 443, 484, 502, 458, 444)(420, 447, 489, 546, 491, 448)(428, 460, 505, 557, 498, 454)(431, 463, 449, 492, 513, 464)(434, 469, 519, 555, 497, 470)(435, 471, 521, 554, 524, 472)(439, 479, 531, 592, 526, 474)(442, 482, 503, 564, 538, 483)(446, 487, 500, 560, 545, 488)(451, 455, 499, 558, 553, 495)(461, 507, 569, 551, 494, 508)(462, 509, 571, 550, 574, 510)(465, 514, 577, 530, 478, 511)(468, 517, 556, 627, 584, 518)(475, 527, 593, 629, 588, 522)(480, 533, 603, 631, 587, 534)(481, 535, 590, 626, 607, 536)(485, 523, 589, 628, 612, 540)(486, 541, 562, 501, 561, 542)(490, 547, 618, 630, 559, 543)(506, 567, 552, 624, 641, 568)(512, 575, 648, 617, 645, 572)(515, 579, 655, 591, 644, 580)(516, 581, 647, 623, 659, 582)(520, 573, 646, 625, 664, 586)(528, 595, 642, 610, 539, 596)(529, 597, 632, 563, 634, 598)(532, 601, 665, 698, 678, 602)(537, 608, 683, 697, 666, 605)(544, 615, 639, 566, 638, 613)(548, 620, 643, 570, 633, 621)(549, 614, 637, 565, 636, 622)(576, 650, 616, 662, 585, 651)(578, 653, 708, 667, 717, 654)(583, 660, 722, 696, 709, 657)(594, 669, 611, 688, 706, 670)(599, 674, 701, 635, 700, 672)(600, 675, 699, 687, 707, 676)(604, 673, 730, 689, 704, 680)(606, 681, 728, 668, 719, 656)(609, 685, 721, 671, 718, 686)(619, 692, 703, 640, 705, 693)(649, 711, 663, 727, 691, 712)(652, 714, 682, 726, 679, 715)(658, 720, 694, 710, 745, 702)(661, 724, 690, 713, 695, 725)(677, 734, 746, 742, 759, 732)(684, 739, 752, 729, 754, 740)(716, 750, 735, 758, 737, 748)(723, 755, 764, 747, 743, 756)(731, 749, 736, 757, 738, 760)(733, 753, 741, 744, 763, 751)(761, 765, 768, 767, 762, 766)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2333
Transitivity :: ET+
Graph:: simple bipartite
	v = 256 e = 384 f = 96
	degree seq :: [ 2^192, 6^64 ]

E17.2333 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, (T2^-1 * T1)^6, (T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1)^2, T2 * T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2^-2 * T1, (T2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1)^2 ]
Map::
	R = (1, 385, 3, 387, 8, 392, 4, 388)(2, 386, 5, 389, 11, 395, 6, 390)(7, 391, 13, 397, 24, 408, 14, 398)(9, 393, 16, 400, 29, 413, 17, 401)(10, 394, 18, 402, 32, 416, 19, 403)(12, 396, 21, 405, 37, 421, 22, 406)(15, 399, 26, 410, 45, 429, 27, 411)(20, 404, 34, 418, 58, 442, 35, 419)(23, 407, 39, 423, 65, 449, 40, 424)(25, 409, 42, 426, 70, 454, 43, 427)(28, 412, 47, 431, 77, 461, 48, 432)(30, 414, 50, 434, 80, 464, 51, 435)(31, 415, 52, 436, 81, 465, 53, 437)(33, 417, 55, 439, 86, 470, 56, 440)(36, 420, 60, 444, 93, 477, 61, 445)(38, 422, 63, 447, 96, 480, 64, 448)(41, 425, 67, 451, 49, 433, 68, 452)(44, 428, 72, 456, 107, 491, 73, 457)(46, 430, 74, 458, 110, 494, 75, 459)(54, 438, 83, 467, 62, 446, 84, 468)(57, 441, 88, 472, 129, 513, 89, 473)(59, 443, 90, 474, 132, 516, 91, 475)(66, 450, 98, 482, 144, 528, 99, 483)(69, 453, 102, 486, 151, 535, 103, 487)(71, 455, 105, 489, 154, 538, 106, 490)(76, 460, 111, 495, 161, 545, 112, 496)(78, 462, 114, 498, 166, 550, 115, 499)(79, 463, 116, 500, 169, 553, 117, 501)(82, 466, 120, 504, 174, 558, 121, 505)(85, 469, 124, 508, 181, 565, 125, 509)(87, 471, 127, 511, 184, 568, 128, 512)(92, 476, 133, 517, 191, 575, 134, 518)(94, 478, 136, 520, 196, 580, 137, 521)(95, 479, 138, 522, 199, 583, 139, 523)(97, 481, 141, 525, 104, 488, 142, 526)(100, 484, 146, 530, 207, 591, 147, 531)(101, 485, 148, 532, 210, 594, 149, 533)(108, 492, 156, 540, 222, 606, 157, 541)(109, 493, 158, 542, 223, 607, 159, 543)(113, 497, 163, 547, 118, 502, 164, 548)(119, 503, 171, 555, 126, 510, 172, 556)(122, 506, 176, 560, 243, 627, 177, 561)(123, 507, 178, 562, 246, 630, 179, 563)(130, 514, 186, 570, 258, 642, 187, 571)(131, 515, 188, 572, 259, 643, 189, 573)(135, 519, 193, 577, 140, 524, 194, 578)(143, 527, 203, 587, 278, 662, 204, 588)(145, 529, 205, 589, 281, 665, 206, 590)(150, 534, 211, 595, 284, 668, 212, 596)(152, 536, 214, 598, 289, 673, 215, 599)(153, 537, 216, 600, 292, 676, 217, 601)(155, 539, 219, 603, 160, 544, 220, 604)(162, 546, 226, 610, 296, 680, 227, 611)(165, 549, 230, 614, 304, 688, 231, 615)(167, 551, 233, 617, 283, 667, 209, 593)(168, 552, 208, 592, 282, 666, 234, 618)(170, 554, 235, 619, 309, 693, 236, 620)(173, 557, 239, 623, 316, 700, 240, 624)(175, 559, 241, 625, 319, 703, 242, 626)(180, 564, 247, 631, 322, 706, 248, 632)(182, 566, 250, 634, 327, 711, 251, 635)(183, 567, 252, 636, 330, 714, 253, 637)(185, 569, 255, 639, 190, 574, 256, 640)(192, 576, 262, 646, 334, 718, 263, 647)(195, 579, 266, 650, 342, 726, 267, 651)(197, 581, 269, 653, 321, 705, 245, 629)(198, 582, 244, 628, 320, 704, 270, 654)(200, 584, 271, 655, 347, 731, 272, 656)(201, 585, 273, 657, 228, 612, 274, 658)(202, 586, 275, 659, 229, 613, 276, 660)(213, 597, 286, 670, 218, 602, 287, 671)(221, 605, 294, 678, 365, 749, 295, 679)(224, 608, 297, 681, 366, 750, 298, 682)(225, 609, 299, 683, 232, 616, 300, 684)(237, 621, 311, 695, 264, 648, 312, 696)(238, 622, 313, 697, 265, 649, 314, 698)(249, 633, 324, 708, 254, 638, 325, 709)(257, 641, 332, 716, 383, 767, 333, 717)(260, 644, 335, 719, 384, 768, 336, 720)(261, 645, 337, 721, 268, 652, 338, 722)(277, 661, 351, 735, 310, 694, 352, 736)(279, 663, 353, 737, 308, 692, 354, 738)(280, 664, 355, 739, 307, 691, 356, 740)(285, 669, 357, 741, 306, 690, 358, 742)(288, 672, 359, 743, 305, 689, 360, 744)(290, 674, 361, 745, 303, 687, 350, 734)(291, 675, 349, 733, 302, 686, 362, 746)(293, 677, 363, 747, 301, 685, 364, 748)(315, 699, 369, 753, 348, 732, 370, 754)(317, 701, 371, 755, 346, 730, 372, 756)(318, 702, 373, 757, 345, 729, 374, 758)(323, 707, 375, 759, 344, 728, 376, 760)(326, 710, 377, 761, 343, 727, 378, 762)(328, 712, 379, 763, 341, 725, 368, 752)(329, 713, 367, 751, 340, 724, 380, 764)(331, 715, 381, 765, 339, 723, 382, 766)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 448)(40, 450)(41, 408)(42, 453)(43, 455)(44, 410)(45, 442)(46, 411)(47, 460)(48, 462)(49, 413)(50, 463)(51, 436)(52, 435)(53, 466)(54, 416)(55, 469)(56, 471)(57, 418)(58, 429)(59, 419)(60, 476)(61, 478)(62, 421)(63, 479)(64, 423)(65, 481)(66, 424)(67, 484)(68, 485)(69, 426)(70, 488)(71, 427)(72, 490)(73, 492)(74, 493)(75, 495)(76, 431)(77, 497)(78, 432)(79, 434)(80, 502)(81, 503)(82, 437)(83, 506)(84, 507)(85, 439)(86, 510)(87, 440)(88, 512)(89, 514)(90, 515)(91, 517)(92, 444)(93, 519)(94, 445)(95, 447)(96, 524)(97, 449)(98, 527)(99, 529)(100, 451)(101, 452)(102, 534)(103, 536)(104, 454)(105, 537)(106, 456)(107, 539)(108, 457)(109, 458)(110, 544)(111, 459)(112, 546)(113, 461)(114, 549)(115, 551)(116, 552)(117, 554)(118, 464)(119, 465)(120, 557)(121, 559)(122, 467)(123, 468)(124, 564)(125, 566)(126, 470)(127, 567)(128, 472)(129, 569)(130, 473)(131, 474)(132, 574)(133, 475)(134, 576)(135, 477)(136, 579)(137, 581)(138, 582)(139, 584)(140, 480)(141, 585)(142, 586)(143, 482)(144, 583)(145, 483)(146, 590)(147, 592)(148, 593)(149, 595)(150, 486)(151, 597)(152, 487)(153, 489)(154, 602)(155, 491)(156, 605)(157, 572)(158, 571)(159, 608)(160, 494)(161, 609)(162, 496)(163, 612)(164, 613)(165, 498)(166, 616)(167, 499)(168, 500)(169, 558)(170, 501)(171, 621)(172, 622)(173, 504)(174, 553)(175, 505)(176, 626)(177, 628)(178, 629)(179, 631)(180, 508)(181, 633)(182, 509)(183, 511)(184, 638)(185, 513)(186, 641)(187, 542)(188, 541)(189, 644)(190, 516)(191, 645)(192, 518)(193, 648)(194, 649)(195, 520)(196, 652)(197, 521)(198, 522)(199, 528)(200, 523)(201, 525)(202, 526)(203, 661)(204, 663)(205, 664)(206, 530)(207, 639)(208, 531)(209, 532)(210, 640)(211, 533)(212, 669)(213, 535)(214, 672)(215, 674)(216, 675)(217, 677)(218, 538)(219, 627)(220, 630)(221, 540)(222, 676)(223, 680)(224, 543)(225, 545)(226, 685)(227, 686)(228, 547)(229, 548)(230, 687)(231, 689)(232, 550)(233, 690)(234, 691)(235, 692)(236, 694)(237, 555)(238, 556)(239, 699)(240, 701)(241, 702)(242, 560)(243, 603)(244, 561)(245, 562)(246, 604)(247, 563)(248, 707)(249, 565)(250, 710)(251, 712)(252, 713)(253, 715)(254, 568)(255, 591)(256, 594)(257, 570)(258, 714)(259, 718)(260, 573)(261, 575)(262, 723)(263, 724)(264, 577)(265, 578)(266, 725)(267, 727)(268, 580)(269, 728)(270, 729)(271, 730)(272, 732)(273, 695)(274, 733)(275, 734)(276, 735)(277, 587)(278, 722)(279, 588)(280, 589)(281, 721)(282, 708)(283, 716)(284, 720)(285, 596)(286, 704)(287, 731)(288, 598)(289, 719)(290, 599)(291, 600)(292, 606)(293, 601)(294, 705)(295, 726)(296, 607)(297, 711)(298, 706)(299, 703)(300, 700)(301, 610)(302, 611)(303, 614)(304, 717)(305, 615)(306, 617)(307, 618)(308, 619)(309, 709)(310, 620)(311, 657)(312, 751)(313, 752)(314, 753)(315, 623)(316, 684)(317, 624)(318, 625)(319, 683)(320, 670)(321, 678)(322, 682)(323, 632)(324, 666)(325, 693)(326, 634)(327, 681)(328, 635)(329, 636)(330, 642)(331, 637)(332, 667)(333, 688)(334, 643)(335, 673)(336, 668)(337, 665)(338, 662)(339, 646)(340, 647)(341, 650)(342, 679)(343, 651)(344, 653)(345, 654)(346, 655)(347, 671)(348, 656)(349, 658)(350, 659)(351, 660)(352, 766)(353, 761)(354, 756)(355, 757)(356, 760)(357, 759)(358, 758)(359, 755)(360, 762)(361, 765)(362, 764)(363, 763)(364, 754)(365, 768)(366, 767)(367, 696)(368, 697)(369, 698)(370, 748)(371, 743)(372, 738)(373, 739)(374, 742)(375, 741)(376, 740)(377, 737)(378, 744)(379, 747)(380, 746)(381, 745)(382, 736)(383, 750)(384, 749)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2332
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 96 e = 384 f = 256
	degree seq :: [ 8^96 ]

E17.2334 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ F^2, (F * T2)^2, (F * T1)^2, T1^4, (T2^-1 * T1^-1)^2, T2^6, (T1 * T2^-1)^4, (T2^-1 * T1 * T2^-1)^4, (T2^-1 * T1 * T2^-1)^4 ]
Map::
	R = (1, 385, 3, 387, 10, 394, 24, 408, 14, 398, 5, 389)(2, 386, 7, 391, 17, 401, 37, 421, 20, 404, 8, 392)(4, 388, 12, 396, 27, 411, 46, 430, 22, 406, 9, 393)(6, 390, 15, 399, 32, 416, 61, 445, 35, 419, 16, 400)(11, 395, 26, 410, 52, 436, 86, 470, 48, 432, 23, 407)(13, 397, 29, 413, 56, 440, 97, 481, 58, 442, 30, 414)(18, 402, 39, 423, 72, 456, 115, 499, 68, 452, 36, 420)(19, 403, 40, 424, 73, 457, 122, 506, 75, 459, 41, 425)(21, 405, 43, 427, 77, 461, 128, 512, 79, 463, 44, 428)(25, 409, 51, 435, 90, 474, 145, 529, 88, 472, 49, 433)(28, 412, 55, 439, 95, 479, 151, 535, 93, 477, 53, 437)(31, 415, 50, 434, 89, 473, 146, 530, 101, 485, 59, 443)(33, 417, 63, 447, 107, 491, 162, 546, 103, 487, 60, 444)(34, 418, 64, 448, 108, 492, 169, 553, 110, 494, 65, 449)(38, 422, 71, 455, 119, 503, 183, 567, 117, 501, 69, 453)(42, 426, 70, 454, 118, 502, 184, 568, 126, 510, 76, 460)(45, 429, 80, 464, 132, 516, 199, 583, 134, 518, 81, 465)(47, 431, 83, 467, 136, 520, 204, 588, 138, 522, 84, 468)(54, 438, 94, 478, 152, 536, 202, 586, 135, 519, 82, 466)(57, 441, 99, 483, 158, 542, 222, 606, 155, 539, 96, 480)(62, 446, 106, 490, 166, 550, 234, 618, 164, 548, 104, 488)(66, 450, 105, 489, 165, 549, 235, 619, 173, 557, 111, 495)(67, 451, 112, 496, 174, 558, 243, 627, 176, 560, 113, 497)(74, 458, 124, 508, 190, 574, 256, 640, 187, 571, 121, 505)(78, 462, 130, 514, 196, 580, 262, 646, 192, 576, 127, 511)(85, 469, 139, 523, 207, 591, 277, 661, 209, 593, 140, 524)(87, 471, 142, 526, 211, 595, 280, 664, 213, 597, 143, 527)(91, 475, 147, 531, 100, 484, 157, 541, 210, 594, 141, 525)(92, 476, 148, 532, 215, 599, 283, 667, 217, 601, 149, 533)(98, 482, 144, 528, 214, 598, 281, 665, 224, 608, 156, 540)(102, 486, 159, 543, 225, 609, 292, 676, 227, 611, 160, 544)(109, 493, 171, 555, 241, 625, 305, 689, 238, 622, 168, 552)(114, 498, 177, 561, 246, 630, 314, 698, 248, 632, 178, 562)(116, 500, 180, 564, 250, 634, 317, 701, 252, 636, 181, 565)(120, 504, 185, 569, 125, 509, 189, 573, 249, 633, 179, 563)(123, 507, 182, 566, 253, 637, 318, 702, 258, 642, 188, 572)(129, 513, 195, 579, 266, 650, 330, 714, 264, 648, 193, 577)(131, 515, 194, 578, 265, 649, 219, 603, 153, 537, 197, 581)(133, 517, 201, 585, 270, 654, 332, 716, 268, 652, 198, 582)(137, 521, 206, 590, 275, 659, 336, 720, 272, 656, 203, 587)(150, 534, 218, 602, 285, 669, 333, 717, 269, 653, 200, 584)(154, 538, 220, 604, 287, 671, 339, 723, 279, 663, 212, 596)(161, 545, 228, 612, 295, 679, 351, 735, 297, 681, 229, 613)(163, 547, 231, 615, 299, 683, 354, 738, 301, 685, 232, 616)(167, 551, 236, 620, 172, 556, 240, 624, 298, 682, 230, 614)(170, 554, 233, 617, 302, 686, 355, 739, 307, 691, 239, 623)(175, 559, 245, 629, 312, 696, 362, 746, 309, 693, 242, 626)(186, 570, 254, 638, 319, 703, 365, 749, 316, 700, 251, 635)(191, 575, 259, 643, 323, 707, 368, 752, 325, 709, 260, 644)(205, 589, 274, 658, 223, 607, 290, 674, 337, 721, 273, 657)(208, 592, 278, 662, 221, 605, 289, 673, 338, 722, 276, 660)(216, 600, 267, 651, 331, 715, 372, 756, 341, 725, 282, 666)(226, 610, 294, 678, 349, 733, 377, 761, 346, 730, 291, 675)(237, 621, 303, 687, 356, 740, 380, 764, 353, 737, 300, 684)(244, 628, 311, 695, 257, 641, 322, 706, 363, 747, 310, 694)(247, 631, 315, 699, 255, 639, 321, 705, 364, 748, 313, 697)(261, 645, 326, 710, 370, 754, 343, 727, 286, 670, 327, 711)(263, 647, 328, 712, 371, 755, 342, 726, 284, 668, 329, 713)(271, 655, 334, 718, 373, 757, 344, 728, 288, 672, 335, 719)(293, 677, 348, 732, 306, 690, 359, 743, 378, 762, 347, 731)(296, 680, 352, 736, 304, 688, 358, 742, 379, 763, 350, 734)(308, 692, 360, 744, 382, 766, 366, 750, 320, 704, 361, 745)(324, 708, 369, 753, 340, 724, 374, 758, 383, 767, 367, 751)(345, 729, 375, 759, 384, 768, 381, 765, 357, 741, 376, 760)
	L = (1, 386)(2, 390)(3, 393)(4, 385)(5, 397)(6, 388)(7, 389)(8, 403)(9, 405)(10, 407)(11, 387)(12, 400)(13, 402)(14, 415)(15, 392)(16, 418)(17, 420)(18, 391)(19, 417)(20, 426)(21, 395)(22, 429)(23, 431)(24, 433)(25, 394)(26, 428)(27, 437)(28, 396)(29, 398)(30, 439)(31, 441)(32, 444)(33, 399)(34, 412)(35, 450)(36, 451)(37, 453)(38, 401)(39, 414)(40, 404)(41, 410)(42, 458)(43, 406)(44, 447)(45, 462)(46, 466)(47, 409)(48, 469)(49, 471)(50, 408)(51, 468)(52, 459)(53, 476)(54, 411)(55, 449)(56, 480)(57, 413)(58, 484)(59, 455)(60, 486)(61, 488)(62, 416)(63, 425)(64, 419)(65, 423)(66, 493)(67, 422)(68, 498)(69, 500)(70, 421)(71, 497)(72, 494)(73, 505)(74, 424)(75, 509)(76, 490)(77, 511)(78, 427)(79, 515)(80, 430)(81, 435)(82, 517)(83, 432)(84, 514)(85, 521)(86, 525)(87, 434)(88, 528)(89, 527)(90, 518)(91, 436)(92, 438)(93, 534)(94, 533)(95, 442)(96, 538)(97, 540)(98, 440)(99, 443)(100, 537)(101, 536)(102, 446)(103, 545)(104, 547)(105, 445)(106, 544)(107, 463)(108, 552)(109, 448)(110, 556)(111, 478)(112, 452)(113, 483)(114, 559)(115, 563)(116, 454)(117, 566)(118, 565)(119, 485)(120, 456)(121, 570)(122, 572)(123, 457)(124, 460)(125, 475)(126, 474)(127, 575)(128, 577)(129, 461)(130, 465)(131, 551)(132, 582)(133, 464)(134, 550)(135, 579)(136, 587)(137, 467)(138, 574)(139, 470)(140, 473)(141, 592)(142, 472)(143, 590)(144, 596)(145, 568)(146, 593)(147, 569)(148, 477)(149, 555)(150, 600)(151, 603)(152, 557)(153, 479)(154, 482)(155, 605)(156, 607)(157, 481)(158, 560)(159, 487)(160, 508)(161, 610)(162, 614)(163, 489)(164, 617)(165, 616)(166, 510)(167, 491)(168, 621)(169, 623)(170, 492)(171, 495)(172, 504)(173, 503)(174, 626)(175, 496)(176, 625)(177, 499)(178, 502)(179, 631)(180, 501)(181, 629)(182, 635)(183, 619)(184, 632)(185, 620)(186, 507)(187, 639)(188, 641)(189, 506)(190, 611)(191, 513)(192, 645)(193, 647)(194, 512)(195, 644)(196, 522)(197, 531)(198, 651)(199, 653)(200, 516)(201, 519)(202, 530)(203, 655)(204, 657)(205, 520)(206, 524)(207, 660)(208, 523)(209, 650)(210, 658)(211, 663)(212, 526)(213, 654)(214, 529)(215, 666)(216, 532)(217, 542)(218, 535)(219, 670)(220, 539)(221, 672)(222, 667)(223, 541)(224, 669)(225, 675)(226, 543)(227, 580)(228, 546)(229, 549)(230, 680)(231, 548)(232, 678)(233, 684)(234, 583)(235, 681)(236, 581)(237, 554)(238, 688)(239, 690)(240, 553)(241, 601)(242, 692)(243, 694)(244, 558)(245, 562)(246, 697)(247, 561)(248, 598)(249, 695)(250, 700)(251, 564)(252, 595)(253, 567)(254, 571)(255, 704)(256, 588)(257, 573)(258, 591)(259, 576)(260, 585)(261, 708)(262, 676)(263, 578)(264, 679)(265, 713)(266, 586)(267, 584)(268, 683)(269, 686)(270, 709)(271, 589)(272, 703)(273, 705)(274, 719)(275, 597)(276, 706)(277, 702)(278, 594)(279, 696)(280, 701)(281, 698)(282, 724)(283, 726)(284, 599)(285, 727)(286, 602)(287, 728)(288, 604)(289, 606)(290, 608)(291, 729)(292, 731)(293, 609)(294, 613)(295, 734)(296, 612)(297, 637)(298, 732)(299, 737)(300, 615)(301, 634)(302, 618)(303, 622)(304, 741)(305, 627)(306, 624)(307, 630)(308, 628)(309, 740)(310, 742)(311, 745)(312, 636)(313, 743)(314, 739)(315, 633)(316, 733)(317, 738)(318, 735)(319, 750)(320, 638)(321, 640)(322, 642)(323, 751)(324, 643)(325, 659)(326, 646)(327, 649)(328, 648)(329, 753)(330, 661)(331, 652)(332, 664)(333, 665)(334, 656)(335, 662)(336, 752)(337, 754)(338, 755)(339, 756)(340, 668)(341, 671)(342, 673)(343, 674)(344, 758)(345, 677)(346, 707)(347, 710)(348, 760)(349, 685)(350, 712)(351, 714)(352, 682)(353, 715)(354, 716)(355, 717)(356, 765)(357, 687)(358, 689)(359, 691)(360, 693)(361, 699)(362, 723)(363, 722)(364, 721)(365, 720)(366, 718)(367, 759)(368, 761)(369, 711)(370, 762)(371, 763)(372, 764)(373, 766)(374, 725)(375, 730)(376, 736)(377, 749)(378, 748)(379, 747)(380, 746)(381, 744)(382, 768)(383, 757)(384, 767)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2330
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 12^64 ]

E17.2335 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T2 * T1^2)^4, T2 * T1^3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T1^2 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^3 * T2 * T1, (T2 * T1^2 * T2 * T1^-2)^3, (T2 * T1 * T2 * T1^-2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 385, 3, 387)(2, 386, 6, 390)(4, 388, 9, 393)(5, 389, 12, 396)(7, 391, 16, 400)(8, 392, 17, 401)(10, 394, 21, 405)(11, 395, 22, 406)(13, 397, 26, 410)(14, 398, 27, 411)(15, 399, 30, 414)(18, 402, 34, 418)(19, 403, 36, 420)(20, 404, 31, 415)(23, 407, 43, 427)(24, 408, 44, 428)(25, 409, 47, 431)(28, 412, 50, 434)(29, 413, 51, 435)(32, 416, 55, 439)(33, 417, 58, 442)(35, 419, 62, 446)(37, 421, 65, 449)(38, 422, 67, 451)(39, 423, 63, 447)(40, 424, 70, 454)(41, 425, 71, 455)(42, 426, 74, 458)(45, 429, 77, 461)(46, 430, 78, 462)(48, 432, 81, 465)(49, 433, 84, 468)(52, 436, 90, 474)(53, 437, 91, 475)(54, 438, 94, 478)(56, 440, 96, 480)(57, 441, 97, 481)(59, 443, 101, 485)(60, 444, 98, 482)(61, 445, 102, 486)(64, 448, 106, 490)(66, 450, 110, 494)(68, 452, 89, 473)(69, 453, 113, 497)(72, 456, 116, 500)(73, 457, 117, 501)(75, 459, 119, 503)(76, 460, 122, 506)(79, 463, 127, 511)(80, 464, 128, 512)(82, 466, 131, 515)(83, 467, 132, 516)(85, 469, 136, 520)(86, 470, 133, 517)(87, 471, 138, 522)(88, 472, 139, 523)(92, 476, 144, 528)(93, 477, 145, 529)(95, 479, 148, 532)(99, 483, 153, 537)(100, 484, 155, 539)(103, 487, 159, 543)(104, 488, 160, 544)(105, 489, 142, 526)(107, 491, 164, 548)(108, 492, 165, 549)(109, 493, 166, 550)(111, 495, 168, 552)(112, 496, 170, 554)(114, 498, 172, 556)(115, 499, 175, 559)(118, 502, 179, 563)(120, 504, 181, 565)(121, 505, 182, 566)(123, 507, 186, 570)(124, 508, 183, 567)(125, 509, 188, 572)(126, 510, 189, 573)(129, 513, 192, 576)(130, 514, 194, 578)(134, 518, 199, 583)(135, 519, 201, 585)(137, 521, 203, 587)(140, 524, 206, 590)(141, 525, 207, 591)(143, 527, 210, 594)(146, 530, 215, 599)(147, 531, 216, 600)(149, 533, 220, 604)(150, 534, 217, 601)(151, 535, 221, 605)(152, 536, 222, 606)(154, 538, 225, 609)(156, 540, 227, 611)(157, 541, 229, 613)(158, 542, 230, 614)(161, 545, 232, 616)(162, 546, 233, 617)(163, 547, 235, 619)(167, 551, 239, 623)(169, 553, 241, 625)(171, 555, 242, 626)(173, 557, 244, 628)(174, 558, 245, 629)(176, 560, 247, 631)(177, 561, 248, 632)(178, 562, 249, 633)(180, 564, 251, 635)(184, 568, 256, 640)(185, 569, 258, 642)(187, 571, 260, 644)(190, 574, 263, 647)(191, 575, 265, 649)(193, 577, 268, 652)(195, 579, 272, 656)(196, 580, 269, 653)(197, 581, 273, 657)(198, 582, 274, 658)(200, 584, 277, 661)(202, 586, 279, 663)(204, 588, 281, 665)(205, 589, 282, 666)(208, 592, 283, 667)(209, 593, 284, 668)(211, 595, 287, 671)(212, 596, 285, 669)(213, 597, 288, 672)(214, 598, 289, 673)(218, 602, 293, 677)(219, 603, 295, 679)(223, 607, 298, 682)(224, 608, 300, 684)(226, 610, 303, 687)(228, 612, 305, 689)(231, 615, 306, 690)(234, 618, 307, 691)(236, 620, 310, 694)(237, 621, 308, 692)(238, 622, 311, 695)(240, 624, 312, 696)(243, 627, 313, 697)(246, 630, 314, 698)(250, 634, 315, 699)(252, 636, 318, 702)(253, 637, 316, 700)(254, 638, 319, 703)(255, 639, 320, 704)(257, 641, 322, 706)(259, 643, 323, 707)(261, 645, 324, 708)(262, 646, 325, 709)(264, 648, 326, 710)(266, 650, 329, 713)(267, 651, 327, 711)(270, 654, 332, 716)(271, 655, 334, 718)(275, 659, 337, 721)(276, 660, 339, 723)(278, 662, 342, 726)(280, 664, 344, 728)(286, 670, 345, 729)(290, 674, 347, 731)(291, 675, 348, 732)(292, 676, 349, 733)(294, 678, 351, 735)(296, 680, 352, 736)(297, 681, 353, 737)(299, 683, 354, 738)(301, 685, 357, 741)(302, 686, 355, 739)(304, 688, 358, 742)(309, 693, 359, 743)(317, 701, 360, 744)(321, 705, 362, 746)(328, 712, 363, 747)(330, 714, 364, 748)(331, 715, 365, 749)(333, 717, 367, 751)(335, 719, 368, 752)(336, 720, 369, 753)(338, 722, 370, 754)(340, 724, 373, 757)(341, 725, 371, 755)(343, 727, 374, 758)(346, 730, 375, 759)(350, 734, 377, 761)(356, 740, 378, 762)(361, 745, 380, 764)(366, 750, 381, 765)(372, 756, 382, 766)(376, 760, 383, 767)(379, 763, 384, 768)
	L = (1, 386)(2, 389)(3, 391)(4, 385)(5, 395)(6, 397)(7, 399)(8, 387)(9, 403)(10, 388)(11, 394)(12, 407)(13, 409)(14, 390)(15, 413)(16, 415)(17, 417)(18, 392)(19, 419)(20, 393)(21, 422)(22, 424)(23, 426)(24, 396)(25, 430)(26, 401)(27, 433)(28, 398)(29, 402)(30, 436)(31, 438)(32, 400)(33, 441)(34, 443)(35, 445)(36, 447)(37, 404)(38, 450)(39, 405)(40, 453)(41, 406)(42, 457)(43, 411)(44, 460)(45, 408)(46, 412)(47, 463)(48, 410)(49, 467)(50, 469)(51, 471)(52, 473)(53, 414)(54, 477)(55, 479)(56, 416)(57, 466)(58, 482)(59, 484)(60, 418)(61, 421)(62, 487)(63, 489)(64, 420)(65, 492)(66, 493)(67, 455)(68, 423)(69, 496)(70, 428)(71, 499)(72, 425)(73, 429)(74, 444)(75, 427)(76, 505)(77, 507)(78, 509)(79, 449)(80, 431)(81, 514)(82, 432)(83, 504)(84, 517)(85, 519)(86, 434)(87, 521)(88, 435)(89, 525)(90, 439)(91, 527)(92, 437)(93, 440)(94, 511)(95, 531)(96, 533)(97, 535)(98, 503)(99, 442)(100, 502)(101, 523)(102, 541)(103, 500)(104, 446)(105, 546)(106, 547)(107, 448)(108, 513)(109, 452)(110, 508)(111, 451)(112, 456)(113, 470)(114, 454)(115, 558)(116, 560)(117, 561)(118, 458)(119, 564)(120, 459)(121, 557)(122, 567)(123, 569)(124, 461)(125, 571)(126, 462)(127, 465)(128, 575)(129, 464)(130, 577)(131, 579)(132, 581)(133, 556)(134, 468)(135, 555)(136, 573)(137, 554)(138, 475)(139, 589)(140, 472)(141, 476)(142, 474)(143, 593)(144, 595)(145, 597)(146, 478)(147, 592)(148, 601)(149, 603)(150, 480)(151, 590)(152, 481)(153, 608)(154, 483)(155, 596)(156, 485)(157, 562)(158, 486)(159, 490)(160, 615)(161, 488)(162, 491)(163, 618)(164, 620)(165, 614)(166, 574)(167, 494)(168, 624)(169, 495)(170, 524)(171, 497)(172, 627)(173, 498)(174, 553)(175, 543)(176, 545)(177, 542)(178, 501)(179, 634)(180, 538)(181, 636)(182, 638)(183, 552)(184, 506)(185, 551)(186, 633)(187, 550)(188, 512)(189, 646)(190, 510)(191, 648)(192, 650)(193, 530)(194, 653)(195, 655)(196, 515)(197, 647)(198, 516)(199, 660)(200, 518)(201, 651)(202, 520)(203, 534)(204, 522)(205, 628)(206, 626)(207, 644)(208, 526)(209, 629)(210, 669)(211, 642)(212, 528)(213, 632)(214, 529)(215, 674)(216, 675)(217, 665)(218, 532)(219, 631)(220, 673)(221, 537)(222, 681)(223, 536)(224, 683)(225, 685)(226, 539)(227, 688)(228, 540)(229, 544)(230, 637)(231, 639)(232, 662)(233, 645)(234, 630)(235, 692)(236, 643)(237, 548)(238, 549)(239, 659)(240, 641)(241, 664)(242, 607)(243, 584)(244, 612)(245, 588)(246, 559)(247, 587)(248, 563)(249, 621)(250, 598)(251, 700)(252, 622)(253, 565)(254, 613)(255, 566)(256, 705)(257, 568)(258, 610)(259, 570)(260, 580)(261, 572)(262, 625)(263, 623)(264, 617)(265, 711)(266, 616)(267, 576)(268, 714)(269, 708)(270, 578)(271, 591)(272, 606)(273, 583)(274, 720)(275, 582)(276, 722)(277, 724)(278, 585)(279, 727)(280, 586)(281, 698)(282, 605)(283, 717)(284, 719)(285, 611)(286, 594)(287, 718)(288, 599)(289, 730)(290, 701)(291, 699)(292, 600)(293, 734)(294, 602)(295, 715)(296, 604)(297, 728)(298, 726)(299, 697)(300, 739)(301, 721)(302, 609)(303, 707)(304, 706)(305, 704)(306, 713)(307, 712)(308, 703)(309, 619)(310, 710)(311, 725)(312, 709)(313, 666)(314, 678)(315, 687)(316, 672)(317, 635)(318, 658)(319, 640)(320, 680)(321, 693)(322, 670)(323, 676)(324, 667)(325, 657)(326, 745)(327, 663)(328, 649)(329, 695)(330, 682)(331, 652)(332, 750)(333, 654)(334, 686)(335, 656)(336, 694)(337, 671)(338, 696)(339, 755)(340, 690)(341, 661)(342, 679)(343, 691)(344, 668)(345, 754)(346, 689)(347, 749)(348, 677)(349, 753)(350, 746)(351, 758)(352, 757)(353, 748)(354, 760)(355, 752)(356, 684)(357, 744)(358, 759)(359, 756)(360, 763)(361, 702)(362, 742)(363, 743)(364, 716)(365, 736)(366, 735)(367, 733)(368, 729)(369, 741)(370, 740)(371, 764)(372, 723)(373, 738)(374, 737)(375, 732)(376, 731)(377, 765)(378, 766)(379, 751)(380, 747)(381, 768)(382, 761)(383, 762)(384, 767)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2331
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2336 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, R * Y2^-2 * R * Y1 * Y2^2 * Y1, Y2^-1 * R * Y2^2 * R * Y2^2 * R * Y2^2 * R * Y2^-1, (Y3 * Y2^-1)^6, (Y1 * Y2)^6, Y2^-1 * Y1 * Y2^-1 * R * Y2^2 * R * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^-1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * R * Y2^-2 * R * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * R * Y2^-2 * R * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-2 * Y1, Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 10, 394)(6, 390, 12, 396)(8, 392, 15, 399)(11, 395, 20, 404)(13, 397, 23, 407)(14, 398, 25, 409)(16, 400, 28, 412)(17, 401, 30, 414)(18, 402, 31, 415)(19, 403, 33, 417)(21, 405, 36, 420)(22, 406, 38, 422)(24, 408, 41, 425)(26, 410, 44, 428)(27, 411, 46, 430)(29, 413, 49, 433)(32, 416, 54, 438)(34, 418, 57, 441)(35, 419, 59, 443)(37, 421, 62, 446)(39, 423, 64, 448)(40, 424, 66, 450)(42, 426, 69, 453)(43, 427, 71, 455)(45, 429, 58, 442)(47, 431, 76, 460)(48, 432, 78, 462)(50, 434, 79, 463)(51, 435, 52, 436)(53, 437, 82, 466)(55, 439, 85, 469)(56, 440, 87, 471)(60, 444, 92, 476)(61, 445, 94, 478)(63, 447, 95, 479)(65, 449, 97, 481)(67, 451, 100, 484)(68, 452, 101, 485)(70, 454, 104, 488)(72, 456, 106, 490)(73, 457, 108, 492)(74, 458, 109, 493)(75, 459, 111, 495)(77, 461, 113, 497)(80, 464, 118, 502)(81, 465, 119, 503)(83, 467, 122, 506)(84, 468, 123, 507)(86, 470, 126, 510)(88, 472, 128, 512)(89, 473, 130, 514)(90, 474, 131, 515)(91, 475, 133, 517)(93, 477, 135, 519)(96, 480, 140, 524)(98, 482, 143, 527)(99, 483, 145, 529)(102, 486, 150, 534)(103, 487, 152, 536)(105, 489, 153, 537)(107, 491, 155, 539)(110, 494, 160, 544)(112, 496, 162, 546)(114, 498, 165, 549)(115, 499, 167, 551)(116, 500, 168, 552)(117, 501, 170, 554)(120, 504, 173, 557)(121, 505, 175, 559)(124, 508, 180, 564)(125, 509, 182, 566)(127, 511, 183, 567)(129, 513, 185, 569)(132, 516, 190, 574)(134, 518, 192, 576)(136, 520, 195, 579)(137, 521, 197, 581)(138, 522, 198, 582)(139, 523, 200, 584)(141, 525, 201, 585)(142, 526, 202, 586)(144, 528, 199, 583)(146, 530, 206, 590)(147, 531, 208, 592)(148, 532, 209, 593)(149, 533, 211, 595)(151, 535, 213, 597)(154, 538, 218, 602)(156, 540, 221, 605)(157, 541, 188, 572)(158, 542, 187, 571)(159, 543, 224, 608)(161, 545, 225, 609)(163, 547, 228, 612)(164, 548, 229, 613)(166, 550, 232, 616)(169, 553, 174, 558)(171, 555, 237, 621)(172, 556, 238, 622)(176, 560, 242, 626)(177, 561, 244, 628)(178, 562, 245, 629)(179, 563, 247, 631)(181, 565, 249, 633)(184, 568, 254, 638)(186, 570, 257, 641)(189, 573, 260, 644)(191, 575, 261, 645)(193, 577, 264, 648)(194, 578, 265, 649)(196, 580, 268, 652)(203, 587, 277, 661)(204, 588, 279, 663)(205, 589, 280, 664)(207, 591, 255, 639)(210, 594, 256, 640)(212, 596, 285, 669)(214, 598, 288, 672)(215, 599, 290, 674)(216, 600, 291, 675)(217, 601, 293, 677)(219, 603, 243, 627)(220, 604, 246, 630)(222, 606, 292, 676)(223, 607, 296, 680)(226, 610, 301, 685)(227, 611, 302, 686)(230, 614, 303, 687)(231, 615, 305, 689)(233, 617, 306, 690)(234, 618, 307, 691)(235, 619, 308, 692)(236, 620, 310, 694)(239, 623, 315, 699)(240, 624, 317, 701)(241, 625, 318, 702)(248, 632, 323, 707)(250, 634, 326, 710)(251, 635, 328, 712)(252, 636, 329, 713)(253, 637, 331, 715)(258, 642, 330, 714)(259, 643, 334, 718)(262, 646, 339, 723)(263, 647, 340, 724)(266, 650, 341, 725)(267, 651, 343, 727)(269, 653, 344, 728)(270, 654, 345, 729)(271, 655, 346, 730)(272, 656, 348, 732)(273, 657, 311, 695)(274, 658, 349, 733)(275, 659, 350, 734)(276, 660, 351, 735)(278, 662, 338, 722)(281, 665, 337, 721)(282, 666, 324, 708)(283, 667, 332, 716)(284, 668, 336, 720)(286, 670, 320, 704)(287, 671, 347, 731)(289, 673, 335, 719)(294, 678, 321, 705)(295, 679, 342, 726)(297, 681, 327, 711)(298, 682, 322, 706)(299, 683, 319, 703)(300, 684, 316, 700)(304, 688, 333, 717)(309, 693, 325, 709)(312, 696, 367, 751)(313, 697, 368, 752)(314, 698, 369, 753)(352, 736, 382, 766)(353, 737, 377, 761)(354, 738, 372, 756)(355, 739, 373, 757)(356, 740, 376, 760)(357, 741, 375, 759)(358, 742, 374, 758)(359, 743, 371, 755)(360, 744, 378, 762)(361, 745, 381, 765)(362, 746, 380, 764)(363, 747, 379, 763)(364, 748, 370, 754)(365, 749, 384, 768)(366, 750, 383, 767)(769, 1153, 771, 1155, 776, 1160, 772, 1156)(770, 1154, 773, 1157, 779, 1163, 774, 1158)(775, 1159, 781, 1165, 792, 1176, 782, 1166)(777, 1161, 784, 1168, 797, 1181, 785, 1169)(778, 1162, 786, 1170, 800, 1184, 787, 1171)(780, 1164, 789, 1173, 805, 1189, 790, 1174)(783, 1167, 794, 1178, 813, 1197, 795, 1179)(788, 1172, 802, 1186, 826, 1210, 803, 1187)(791, 1175, 807, 1191, 833, 1217, 808, 1192)(793, 1177, 810, 1194, 838, 1222, 811, 1195)(796, 1180, 815, 1199, 845, 1229, 816, 1200)(798, 1182, 818, 1202, 848, 1232, 819, 1203)(799, 1183, 820, 1204, 849, 1233, 821, 1205)(801, 1185, 823, 1207, 854, 1238, 824, 1208)(804, 1188, 828, 1212, 861, 1245, 829, 1213)(806, 1190, 831, 1215, 864, 1248, 832, 1216)(809, 1193, 835, 1219, 817, 1201, 836, 1220)(812, 1196, 840, 1224, 875, 1259, 841, 1225)(814, 1198, 842, 1226, 878, 1262, 843, 1227)(822, 1206, 851, 1235, 830, 1214, 852, 1236)(825, 1209, 856, 1240, 897, 1281, 857, 1241)(827, 1211, 858, 1242, 900, 1284, 859, 1243)(834, 1218, 866, 1250, 912, 1296, 867, 1251)(837, 1221, 870, 1254, 919, 1303, 871, 1255)(839, 1223, 873, 1257, 922, 1306, 874, 1258)(844, 1228, 879, 1263, 929, 1313, 880, 1264)(846, 1230, 882, 1266, 934, 1318, 883, 1267)(847, 1231, 884, 1268, 937, 1321, 885, 1269)(850, 1234, 888, 1272, 942, 1326, 889, 1273)(853, 1237, 892, 1276, 949, 1333, 893, 1277)(855, 1239, 895, 1279, 952, 1336, 896, 1280)(860, 1244, 901, 1285, 959, 1343, 902, 1286)(862, 1246, 904, 1288, 964, 1348, 905, 1289)(863, 1247, 906, 1290, 967, 1351, 907, 1291)(865, 1249, 909, 1293, 872, 1256, 910, 1294)(868, 1252, 914, 1298, 975, 1359, 915, 1299)(869, 1253, 916, 1300, 978, 1362, 917, 1301)(876, 1260, 924, 1308, 990, 1374, 925, 1309)(877, 1261, 926, 1310, 991, 1375, 927, 1311)(881, 1265, 931, 1315, 886, 1270, 932, 1316)(887, 1271, 939, 1323, 894, 1278, 940, 1324)(890, 1274, 944, 1328, 1011, 1395, 945, 1329)(891, 1275, 946, 1330, 1014, 1398, 947, 1331)(898, 1282, 954, 1338, 1026, 1410, 955, 1339)(899, 1283, 956, 1340, 1027, 1411, 957, 1341)(903, 1287, 961, 1345, 908, 1292, 962, 1346)(911, 1295, 971, 1355, 1046, 1430, 972, 1356)(913, 1297, 973, 1357, 1049, 1433, 974, 1358)(918, 1302, 979, 1363, 1052, 1436, 980, 1364)(920, 1304, 982, 1366, 1057, 1441, 983, 1367)(921, 1305, 984, 1368, 1060, 1444, 985, 1369)(923, 1307, 987, 1371, 928, 1312, 988, 1372)(930, 1314, 994, 1378, 1064, 1448, 995, 1379)(933, 1317, 998, 1382, 1072, 1456, 999, 1383)(935, 1319, 1001, 1385, 1051, 1435, 977, 1361)(936, 1320, 976, 1360, 1050, 1434, 1002, 1386)(938, 1322, 1003, 1387, 1077, 1461, 1004, 1388)(941, 1325, 1007, 1391, 1084, 1468, 1008, 1392)(943, 1327, 1009, 1393, 1087, 1471, 1010, 1394)(948, 1332, 1015, 1399, 1090, 1474, 1016, 1400)(950, 1334, 1018, 1402, 1095, 1479, 1019, 1403)(951, 1335, 1020, 1404, 1098, 1482, 1021, 1405)(953, 1337, 1023, 1407, 958, 1342, 1024, 1408)(960, 1344, 1030, 1414, 1102, 1486, 1031, 1415)(963, 1347, 1034, 1418, 1110, 1494, 1035, 1419)(965, 1349, 1037, 1421, 1089, 1473, 1013, 1397)(966, 1350, 1012, 1396, 1088, 1472, 1038, 1422)(968, 1352, 1039, 1423, 1115, 1499, 1040, 1424)(969, 1353, 1041, 1425, 996, 1380, 1042, 1426)(970, 1354, 1043, 1427, 997, 1381, 1044, 1428)(981, 1365, 1054, 1438, 986, 1370, 1055, 1439)(989, 1373, 1062, 1446, 1133, 1517, 1063, 1447)(992, 1376, 1065, 1449, 1134, 1518, 1066, 1450)(993, 1377, 1067, 1451, 1000, 1384, 1068, 1452)(1005, 1389, 1079, 1463, 1032, 1416, 1080, 1464)(1006, 1390, 1081, 1465, 1033, 1417, 1082, 1466)(1017, 1401, 1092, 1476, 1022, 1406, 1093, 1477)(1025, 1409, 1100, 1484, 1151, 1535, 1101, 1485)(1028, 1412, 1103, 1487, 1152, 1536, 1104, 1488)(1029, 1413, 1105, 1489, 1036, 1420, 1106, 1490)(1045, 1429, 1119, 1503, 1078, 1462, 1120, 1504)(1047, 1431, 1121, 1505, 1076, 1460, 1122, 1506)(1048, 1432, 1123, 1507, 1075, 1459, 1124, 1508)(1053, 1437, 1125, 1509, 1074, 1458, 1126, 1510)(1056, 1440, 1127, 1511, 1073, 1457, 1128, 1512)(1058, 1442, 1129, 1513, 1071, 1455, 1118, 1502)(1059, 1443, 1117, 1501, 1070, 1454, 1130, 1514)(1061, 1445, 1131, 1515, 1069, 1453, 1132, 1516)(1083, 1467, 1137, 1521, 1116, 1500, 1138, 1522)(1085, 1469, 1139, 1523, 1114, 1498, 1140, 1524)(1086, 1470, 1141, 1525, 1113, 1497, 1142, 1526)(1091, 1475, 1143, 1527, 1112, 1496, 1144, 1528)(1094, 1478, 1145, 1529, 1111, 1495, 1146, 1530)(1096, 1480, 1147, 1531, 1109, 1493, 1136, 1520)(1097, 1481, 1135, 1519, 1108, 1492, 1148, 1532)(1099, 1483, 1149, 1533, 1107, 1491, 1150, 1534)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 778)(6, 780)(7, 771)(8, 783)(9, 772)(10, 773)(11, 788)(12, 774)(13, 791)(14, 793)(15, 776)(16, 796)(17, 798)(18, 799)(19, 801)(20, 779)(21, 804)(22, 806)(23, 781)(24, 809)(25, 782)(26, 812)(27, 814)(28, 784)(29, 817)(30, 785)(31, 786)(32, 822)(33, 787)(34, 825)(35, 827)(36, 789)(37, 830)(38, 790)(39, 832)(40, 834)(41, 792)(42, 837)(43, 839)(44, 794)(45, 826)(46, 795)(47, 844)(48, 846)(49, 797)(50, 847)(51, 820)(52, 819)(53, 850)(54, 800)(55, 853)(56, 855)(57, 802)(58, 813)(59, 803)(60, 860)(61, 862)(62, 805)(63, 863)(64, 807)(65, 865)(66, 808)(67, 868)(68, 869)(69, 810)(70, 872)(71, 811)(72, 874)(73, 876)(74, 877)(75, 879)(76, 815)(77, 881)(78, 816)(79, 818)(80, 886)(81, 887)(82, 821)(83, 890)(84, 891)(85, 823)(86, 894)(87, 824)(88, 896)(89, 898)(90, 899)(91, 901)(92, 828)(93, 903)(94, 829)(95, 831)(96, 908)(97, 833)(98, 911)(99, 913)(100, 835)(101, 836)(102, 918)(103, 920)(104, 838)(105, 921)(106, 840)(107, 923)(108, 841)(109, 842)(110, 928)(111, 843)(112, 930)(113, 845)(114, 933)(115, 935)(116, 936)(117, 938)(118, 848)(119, 849)(120, 941)(121, 943)(122, 851)(123, 852)(124, 948)(125, 950)(126, 854)(127, 951)(128, 856)(129, 953)(130, 857)(131, 858)(132, 958)(133, 859)(134, 960)(135, 861)(136, 963)(137, 965)(138, 966)(139, 968)(140, 864)(141, 969)(142, 970)(143, 866)(144, 967)(145, 867)(146, 974)(147, 976)(148, 977)(149, 979)(150, 870)(151, 981)(152, 871)(153, 873)(154, 986)(155, 875)(156, 989)(157, 956)(158, 955)(159, 992)(160, 878)(161, 993)(162, 880)(163, 996)(164, 997)(165, 882)(166, 1000)(167, 883)(168, 884)(169, 942)(170, 885)(171, 1005)(172, 1006)(173, 888)(174, 937)(175, 889)(176, 1010)(177, 1012)(178, 1013)(179, 1015)(180, 892)(181, 1017)(182, 893)(183, 895)(184, 1022)(185, 897)(186, 1025)(187, 926)(188, 925)(189, 1028)(190, 900)(191, 1029)(192, 902)(193, 1032)(194, 1033)(195, 904)(196, 1036)(197, 905)(198, 906)(199, 912)(200, 907)(201, 909)(202, 910)(203, 1045)(204, 1047)(205, 1048)(206, 914)(207, 1023)(208, 915)(209, 916)(210, 1024)(211, 917)(212, 1053)(213, 919)(214, 1056)(215, 1058)(216, 1059)(217, 1061)(218, 922)(219, 1011)(220, 1014)(221, 924)(222, 1060)(223, 1064)(224, 927)(225, 929)(226, 1069)(227, 1070)(228, 931)(229, 932)(230, 1071)(231, 1073)(232, 934)(233, 1074)(234, 1075)(235, 1076)(236, 1078)(237, 939)(238, 940)(239, 1083)(240, 1085)(241, 1086)(242, 944)(243, 987)(244, 945)(245, 946)(246, 988)(247, 947)(248, 1091)(249, 949)(250, 1094)(251, 1096)(252, 1097)(253, 1099)(254, 952)(255, 975)(256, 978)(257, 954)(258, 1098)(259, 1102)(260, 957)(261, 959)(262, 1107)(263, 1108)(264, 961)(265, 962)(266, 1109)(267, 1111)(268, 964)(269, 1112)(270, 1113)(271, 1114)(272, 1116)(273, 1079)(274, 1117)(275, 1118)(276, 1119)(277, 971)(278, 1106)(279, 972)(280, 973)(281, 1105)(282, 1092)(283, 1100)(284, 1104)(285, 980)(286, 1088)(287, 1115)(288, 982)(289, 1103)(290, 983)(291, 984)(292, 990)(293, 985)(294, 1089)(295, 1110)(296, 991)(297, 1095)(298, 1090)(299, 1087)(300, 1084)(301, 994)(302, 995)(303, 998)(304, 1101)(305, 999)(306, 1001)(307, 1002)(308, 1003)(309, 1093)(310, 1004)(311, 1041)(312, 1135)(313, 1136)(314, 1137)(315, 1007)(316, 1068)(317, 1008)(318, 1009)(319, 1067)(320, 1054)(321, 1062)(322, 1066)(323, 1016)(324, 1050)(325, 1077)(326, 1018)(327, 1065)(328, 1019)(329, 1020)(330, 1026)(331, 1021)(332, 1051)(333, 1072)(334, 1027)(335, 1057)(336, 1052)(337, 1049)(338, 1046)(339, 1030)(340, 1031)(341, 1034)(342, 1063)(343, 1035)(344, 1037)(345, 1038)(346, 1039)(347, 1055)(348, 1040)(349, 1042)(350, 1043)(351, 1044)(352, 1150)(353, 1145)(354, 1140)(355, 1141)(356, 1144)(357, 1143)(358, 1142)(359, 1139)(360, 1146)(361, 1149)(362, 1148)(363, 1147)(364, 1138)(365, 1152)(366, 1151)(367, 1080)(368, 1081)(369, 1082)(370, 1132)(371, 1127)(372, 1122)(373, 1123)(374, 1126)(375, 1125)(376, 1124)(377, 1121)(378, 1128)(379, 1131)(380, 1130)(381, 1129)(382, 1120)(383, 1134)(384, 1133)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2339
Graph:: bipartite
	v = 288 e = 768 f = 448
	degree seq :: [ 4^192, 8^96 ]

E17.2337 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y2^-1 * Y1^-1)^2, (R * Y1)^2, Y1^4, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^6, (Y1 * Y2^-1)^4, (Y2^-1 * Y1 * Y2^-1)^4, (Y2^-2 * Y1)^4 ]
Map::
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 57, 441, 29, 413)(17, 401, 36, 420, 67, 451, 38, 422)(20, 404, 42, 426, 74, 458, 40, 424)(22, 406, 45, 429, 78, 462, 43, 427)(24, 408, 49, 433, 87, 471, 50, 434)(26, 410, 44, 428, 63, 447, 41, 425)(27, 411, 53, 437, 92, 476, 54, 438)(30, 414, 55, 439, 65, 449, 39, 423)(32, 416, 60, 444, 102, 486, 62, 446)(35, 419, 66, 450, 109, 493, 64, 448)(37, 421, 69, 453, 116, 500, 70, 454)(46, 430, 82, 466, 133, 517, 80, 464)(48, 432, 85, 469, 137, 521, 83, 467)(51, 435, 84, 468, 130, 514, 81, 465)(52, 436, 75, 459, 125, 509, 91, 475)(56, 440, 96, 480, 154, 538, 98, 482)(58, 442, 100, 484, 153, 537, 95, 479)(59, 443, 71, 455, 113, 497, 99, 483)(61, 445, 104, 488, 163, 547, 105, 489)(68, 452, 114, 498, 175, 559, 112, 496)(72, 456, 110, 494, 172, 556, 120, 504)(73, 457, 121, 505, 186, 570, 123, 507)(76, 460, 106, 490, 160, 544, 124, 508)(77, 461, 127, 511, 191, 575, 129, 513)(79, 463, 131, 515, 167, 551, 107, 491)(86, 470, 141, 525, 208, 592, 139, 523)(88, 472, 144, 528, 212, 596, 142, 526)(89, 473, 143, 527, 206, 590, 140, 524)(90, 474, 134, 518, 166, 550, 126, 510)(93, 477, 150, 534, 216, 600, 148, 532)(94, 478, 149, 533, 171, 555, 111, 495)(97, 481, 156, 540, 223, 607, 157, 541)(101, 485, 152, 536, 173, 557, 119, 503)(103, 487, 161, 545, 226, 610, 159, 543)(108, 492, 168, 552, 237, 621, 170, 554)(115, 499, 179, 563, 247, 631, 177, 561)(117, 501, 182, 566, 251, 635, 180, 564)(118, 502, 181, 565, 245, 629, 178, 562)(122, 506, 188, 572, 257, 641, 189, 573)(128, 512, 193, 577, 263, 647, 194, 578)(132, 516, 198, 582, 267, 651, 200, 584)(135, 519, 195, 579, 260, 644, 201, 585)(136, 520, 203, 587, 271, 655, 205, 589)(138, 522, 190, 574, 227, 611, 196, 580)(145, 529, 184, 568, 248, 632, 214, 598)(146, 530, 209, 593, 266, 650, 202, 586)(147, 531, 185, 569, 236, 620, 197, 581)(151, 535, 219, 603, 286, 670, 218, 602)(155, 539, 221, 605, 288, 672, 220, 604)(158, 542, 176, 560, 241, 625, 217, 601)(162, 546, 230, 614, 296, 680, 228, 612)(164, 548, 233, 617, 300, 684, 231, 615)(165, 549, 232, 616, 294, 678, 229, 613)(169, 553, 239, 623, 306, 690, 240, 624)(174, 558, 242, 626, 308, 692, 244, 628)(183, 567, 235, 619, 297, 681, 253, 637)(187, 571, 255, 639, 320, 704, 254, 638)(192, 576, 261, 645, 324, 708, 259, 643)(199, 583, 269, 653, 302, 686, 234, 618)(204, 588, 273, 657, 321, 705, 256, 640)(207, 591, 276, 660, 322, 706, 258, 642)(210, 594, 274, 658, 335, 719, 278, 662)(211, 595, 279, 663, 312, 696, 252, 636)(213, 597, 270, 654, 325, 709, 275, 659)(215, 599, 282, 666, 340, 724, 284, 668)(222, 606, 283, 667, 342, 726, 289, 673)(224, 608, 285, 669, 343, 727, 290, 674)(225, 609, 291, 675, 345, 729, 293, 677)(238, 622, 304, 688, 357, 741, 303, 687)(243, 627, 310, 694, 358, 742, 305, 689)(246, 630, 313, 697, 359, 743, 307, 691)(249, 633, 311, 695, 361, 745, 315, 699)(250, 634, 316, 700, 349, 733, 301, 685)(262, 646, 292, 676, 347, 731, 326, 710)(264, 648, 295, 679, 350, 734, 328, 712)(265, 649, 329, 713, 369, 753, 327, 711)(268, 652, 299, 683, 353, 737, 331, 715)(272, 656, 319, 703, 366, 750, 334, 718)(277, 661, 318, 702, 351, 735, 330, 714)(280, 664, 317, 701, 354, 738, 332, 716)(281, 665, 314, 698, 355, 739, 333, 717)(287, 671, 344, 728, 374, 758, 341, 725)(298, 682, 348, 732, 376, 760, 352, 736)(309, 693, 356, 740, 381, 765, 360, 744)(323, 707, 367, 751, 375, 759, 346, 730)(336, 720, 368, 752, 377, 761, 365, 749)(337, 721, 370, 754, 378, 762, 364, 748)(338, 722, 371, 755, 379, 763, 363, 747)(339, 723, 372, 756, 380, 764, 362, 746)(373, 757, 382, 766, 384, 768, 383, 767)(769, 1153, 771, 1155, 778, 1162, 792, 1176, 782, 1166, 773, 1157)(770, 1154, 775, 1159, 785, 1169, 805, 1189, 788, 1172, 776, 1160)(772, 1156, 780, 1164, 795, 1179, 814, 1198, 790, 1174, 777, 1161)(774, 1158, 783, 1167, 800, 1184, 829, 1213, 803, 1187, 784, 1168)(779, 1163, 794, 1178, 820, 1204, 854, 1238, 816, 1200, 791, 1175)(781, 1165, 797, 1181, 824, 1208, 865, 1249, 826, 1210, 798, 1182)(786, 1170, 807, 1191, 840, 1224, 883, 1267, 836, 1220, 804, 1188)(787, 1171, 808, 1192, 841, 1225, 890, 1274, 843, 1227, 809, 1193)(789, 1173, 811, 1195, 845, 1229, 896, 1280, 847, 1231, 812, 1196)(793, 1177, 819, 1203, 858, 1242, 913, 1297, 856, 1240, 817, 1201)(796, 1180, 823, 1207, 863, 1247, 919, 1303, 861, 1245, 821, 1205)(799, 1183, 818, 1202, 857, 1241, 914, 1298, 869, 1253, 827, 1211)(801, 1185, 831, 1215, 875, 1259, 930, 1314, 871, 1255, 828, 1212)(802, 1186, 832, 1216, 876, 1260, 937, 1321, 878, 1262, 833, 1217)(806, 1190, 839, 1223, 887, 1271, 951, 1335, 885, 1269, 837, 1221)(810, 1194, 838, 1222, 886, 1270, 952, 1336, 894, 1278, 844, 1228)(813, 1197, 848, 1232, 900, 1284, 967, 1351, 902, 1286, 849, 1233)(815, 1199, 851, 1235, 904, 1288, 972, 1356, 906, 1290, 852, 1236)(822, 1206, 862, 1246, 920, 1304, 970, 1354, 903, 1287, 850, 1234)(825, 1209, 867, 1251, 926, 1310, 990, 1374, 923, 1307, 864, 1248)(830, 1214, 874, 1258, 934, 1318, 1002, 1386, 932, 1316, 872, 1256)(834, 1218, 873, 1257, 933, 1317, 1003, 1387, 941, 1325, 879, 1263)(835, 1219, 880, 1264, 942, 1326, 1011, 1395, 944, 1328, 881, 1265)(842, 1226, 892, 1276, 958, 1342, 1024, 1408, 955, 1339, 889, 1273)(846, 1230, 898, 1282, 964, 1348, 1030, 1414, 960, 1344, 895, 1279)(853, 1237, 907, 1291, 975, 1359, 1045, 1429, 977, 1361, 908, 1292)(855, 1239, 910, 1294, 979, 1363, 1048, 1432, 981, 1365, 911, 1295)(859, 1243, 915, 1299, 868, 1252, 925, 1309, 978, 1362, 909, 1293)(860, 1244, 916, 1300, 983, 1367, 1051, 1435, 985, 1369, 917, 1301)(866, 1250, 912, 1296, 982, 1366, 1049, 1433, 992, 1376, 924, 1308)(870, 1254, 927, 1311, 993, 1377, 1060, 1444, 995, 1379, 928, 1312)(877, 1261, 939, 1323, 1009, 1393, 1073, 1457, 1006, 1390, 936, 1320)(882, 1266, 945, 1329, 1014, 1398, 1082, 1466, 1016, 1400, 946, 1330)(884, 1268, 948, 1332, 1018, 1402, 1085, 1469, 1020, 1404, 949, 1333)(888, 1272, 953, 1337, 893, 1277, 957, 1341, 1017, 1401, 947, 1331)(891, 1275, 950, 1334, 1021, 1405, 1086, 1470, 1026, 1410, 956, 1340)(897, 1281, 963, 1347, 1034, 1418, 1098, 1482, 1032, 1416, 961, 1345)(899, 1283, 962, 1346, 1033, 1417, 987, 1371, 921, 1305, 965, 1349)(901, 1285, 969, 1353, 1038, 1422, 1100, 1484, 1036, 1420, 966, 1350)(905, 1289, 974, 1358, 1043, 1427, 1104, 1488, 1040, 1424, 971, 1355)(918, 1302, 986, 1370, 1053, 1437, 1101, 1485, 1037, 1421, 968, 1352)(922, 1306, 988, 1372, 1055, 1439, 1107, 1491, 1047, 1431, 980, 1364)(929, 1313, 996, 1380, 1063, 1447, 1119, 1503, 1065, 1449, 997, 1381)(931, 1315, 999, 1383, 1067, 1451, 1122, 1506, 1069, 1453, 1000, 1384)(935, 1319, 1004, 1388, 940, 1324, 1008, 1392, 1066, 1450, 998, 1382)(938, 1322, 1001, 1385, 1070, 1454, 1123, 1507, 1075, 1459, 1007, 1391)(943, 1327, 1013, 1397, 1080, 1464, 1130, 1514, 1077, 1461, 1010, 1394)(954, 1338, 1022, 1406, 1087, 1471, 1133, 1517, 1084, 1468, 1019, 1403)(959, 1343, 1027, 1411, 1091, 1475, 1136, 1520, 1093, 1477, 1028, 1412)(973, 1357, 1042, 1426, 991, 1375, 1058, 1442, 1105, 1489, 1041, 1425)(976, 1360, 1046, 1430, 989, 1373, 1057, 1441, 1106, 1490, 1044, 1428)(984, 1368, 1035, 1419, 1099, 1483, 1140, 1524, 1109, 1493, 1050, 1434)(994, 1378, 1062, 1446, 1117, 1501, 1145, 1529, 1114, 1498, 1059, 1443)(1005, 1389, 1071, 1455, 1124, 1508, 1148, 1532, 1121, 1505, 1068, 1452)(1012, 1396, 1079, 1463, 1025, 1409, 1090, 1474, 1131, 1515, 1078, 1462)(1015, 1399, 1083, 1467, 1023, 1407, 1089, 1473, 1132, 1516, 1081, 1465)(1029, 1413, 1094, 1478, 1138, 1522, 1111, 1495, 1054, 1438, 1095, 1479)(1031, 1415, 1096, 1480, 1139, 1523, 1110, 1494, 1052, 1436, 1097, 1481)(1039, 1423, 1102, 1486, 1141, 1525, 1112, 1496, 1056, 1440, 1103, 1487)(1061, 1445, 1116, 1500, 1074, 1458, 1127, 1511, 1146, 1530, 1115, 1499)(1064, 1448, 1120, 1504, 1072, 1456, 1126, 1510, 1147, 1531, 1118, 1502)(1076, 1460, 1128, 1512, 1150, 1534, 1134, 1518, 1088, 1472, 1129, 1513)(1092, 1476, 1137, 1521, 1108, 1492, 1142, 1526, 1151, 1535, 1135, 1519)(1113, 1497, 1143, 1527, 1152, 1536, 1149, 1533, 1125, 1509, 1144, 1528)
	L = (1, 771)(2, 775)(3, 778)(4, 780)(5, 769)(6, 783)(7, 785)(8, 770)(9, 772)(10, 792)(11, 794)(12, 795)(13, 797)(14, 773)(15, 800)(16, 774)(17, 805)(18, 807)(19, 808)(20, 776)(21, 811)(22, 777)(23, 779)(24, 782)(25, 819)(26, 820)(27, 814)(28, 823)(29, 824)(30, 781)(31, 818)(32, 829)(33, 831)(34, 832)(35, 784)(36, 786)(37, 788)(38, 839)(39, 840)(40, 841)(41, 787)(42, 838)(43, 845)(44, 789)(45, 848)(46, 790)(47, 851)(48, 791)(49, 793)(50, 857)(51, 858)(52, 854)(53, 796)(54, 862)(55, 863)(56, 865)(57, 867)(58, 798)(59, 799)(60, 801)(61, 803)(62, 874)(63, 875)(64, 876)(65, 802)(66, 873)(67, 880)(68, 804)(69, 806)(70, 886)(71, 887)(72, 883)(73, 890)(74, 892)(75, 809)(76, 810)(77, 896)(78, 898)(79, 812)(80, 900)(81, 813)(82, 822)(83, 904)(84, 815)(85, 907)(86, 816)(87, 910)(88, 817)(89, 914)(90, 913)(91, 915)(92, 916)(93, 821)(94, 920)(95, 919)(96, 825)(97, 826)(98, 912)(99, 926)(100, 925)(101, 827)(102, 927)(103, 828)(104, 830)(105, 933)(106, 934)(107, 930)(108, 937)(109, 939)(110, 833)(111, 834)(112, 942)(113, 835)(114, 945)(115, 836)(116, 948)(117, 837)(118, 952)(119, 951)(120, 953)(121, 842)(122, 843)(123, 950)(124, 958)(125, 957)(126, 844)(127, 846)(128, 847)(129, 963)(130, 964)(131, 962)(132, 967)(133, 969)(134, 849)(135, 850)(136, 972)(137, 974)(138, 852)(139, 975)(140, 853)(141, 859)(142, 979)(143, 855)(144, 982)(145, 856)(146, 869)(147, 868)(148, 983)(149, 860)(150, 986)(151, 861)(152, 970)(153, 965)(154, 988)(155, 864)(156, 866)(157, 978)(158, 990)(159, 993)(160, 870)(161, 996)(162, 871)(163, 999)(164, 872)(165, 1003)(166, 1002)(167, 1004)(168, 877)(169, 878)(170, 1001)(171, 1009)(172, 1008)(173, 879)(174, 1011)(175, 1013)(176, 881)(177, 1014)(178, 882)(179, 888)(180, 1018)(181, 884)(182, 1021)(183, 885)(184, 894)(185, 893)(186, 1022)(187, 889)(188, 891)(189, 1017)(190, 1024)(191, 1027)(192, 895)(193, 897)(194, 1033)(195, 1034)(196, 1030)(197, 899)(198, 901)(199, 902)(200, 918)(201, 1038)(202, 903)(203, 905)(204, 906)(205, 1042)(206, 1043)(207, 1045)(208, 1046)(209, 908)(210, 909)(211, 1048)(212, 922)(213, 911)(214, 1049)(215, 1051)(216, 1035)(217, 917)(218, 1053)(219, 921)(220, 1055)(221, 1057)(222, 923)(223, 1058)(224, 924)(225, 1060)(226, 1062)(227, 928)(228, 1063)(229, 929)(230, 935)(231, 1067)(232, 931)(233, 1070)(234, 932)(235, 941)(236, 940)(237, 1071)(238, 936)(239, 938)(240, 1066)(241, 1073)(242, 943)(243, 944)(244, 1079)(245, 1080)(246, 1082)(247, 1083)(248, 946)(249, 947)(250, 1085)(251, 954)(252, 949)(253, 1086)(254, 1087)(255, 1089)(256, 955)(257, 1090)(258, 956)(259, 1091)(260, 959)(261, 1094)(262, 960)(263, 1096)(264, 961)(265, 987)(266, 1098)(267, 1099)(268, 966)(269, 968)(270, 1100)(271, 1102)(272, 971)(273, 973)(274, 991)(275, 1104)(276, 976)(277, 977)(278, 989)(279, 980)(280, 981)(281, 992)(282, 984)(283, 985)(284, 1097)(285, 1101)(286, 1095)(287, 1107)(288, 1103)(289, 1106)(290, 1105)(291, 994)(292, 995)(293, 1116)(294, 1117)(295, 1119)(296, 1120)(297, 997)(298, 998)(299, 1122)(300, 1005)(301, 1000)(302, 1123)(303, 1124)(304, 1126)(305, 1006)(306, 1127)(307, 1007)(308, 1128)(309, 1010)(310, 1012)(311, 1025)(312, 1130)(313, 1015)(314, 1016)(315, 1023)(316, 1019)(317, 1020)(318, 1026)(319, 1133)(320, 1129)(321, 1132)(322, 1131)(323, 1136)(324, 1137)(325, 1028)(326, 1138)(327, 1029)(328, 1139)(329, 1031)(330, 1032)(331, 1140)(332, 1036)(333, 1037)(334, 1141)(335, 1039)(336, 1040)(337, 1041)(338, 1044)(339, 1047)(340, 1142)(341, 1050)(342, 1052)(343, 1054)(344, 1056)(345, 1143)(346, 1059)(347, 1061)(348, 1074)(349, 1145)(350, 1064)(351, 1065)(352, 1072)(353, 1068)(354, 1069)(355, 1075)(356, 1148)(357, 1144)(358, 1147)(359, 1146)(360, 1150)(361, 1076)(362, 1077)(363, 1078)(364, 1081)(365, 1084)(366, 1088)(367, 1092)(368, 1093)(369, 1108)(370, 1111)(371, 1110)(372, 1109)(373, 1112)(374, 1151)(375, 1152)(376, 1113)(377, 1114)(378, 1115)(379, 1118)(380, 1121)(381, 1125)(382, 1134)(383, 1135)(384, 1149)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 E17.2338
Graph:: bipartite
	v = 160 e = 768 f = 576
	degree seq :: [ 8^96, 12^64 ]

E17.2338 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y2 * Y3^2)^4, (Y3^-1 * Y1^-1)^6, Y3^3 * Y2 * Y3^3 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2, Y3 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2 * Y3^3 * Y2 * Y3^2, (Y3^2 * Y2 * Y3^-2 * Y2)^3, (Y3^-1 * Y2 * Y3 * Y2 * Y3^-1)^4 ]
Map:: polytopal
	R = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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)(769, 1153, 770, 1154)(771, 1155, 775, 1159)(772, 1156, 777, 1161)(773, 1157, 779, 1163)(774, 1158, 781, 1165)(776, 1160, 785, 1169)(778, 1162, 789, 1173)(780, 1164, 792, 1176)(782, 1166, 796, 1180)(783, 1167, 795, 1179)(784, 1168, 798, 1182)(786, 1170, 802, 1186)(787, 1171, 803, 1187)(788, 1172, 790, 1174)(791, 1175, 809, 1193)(793, 1177, 813, 1197)(794, 1178, 814, 1198)(797, 1181, 819, 1203)(799, 1183, 823, 1207)(800, 1184, 822, 1206)(801, 1185, 825, 1209)(804, 1188, 831, 1215)(805, 1189, 833, 1217)(806, 1190, 834, 1218)(807, 1191, 829, 1213)(808, 1192, 837, 1221)(810, 1194, 841, 1225)(811, 1195, 840, 1224)(812, 1196, 843, 1227)(815, 1199, 849, 1233)(816, 1200, 851, 1235)(817, 1201, 852, 1236)(818, 1202, 847, 1231)(820, 1204, 857, 1241)(821, 1205, 858, 1242)(824, 1208, 854, 1238)(826, 1210, 866, 1250)(827, 1211, 865, 1249)(828, 1212, 868, 1252)(830, 1214, 871, 1255)(832, 1216, 875, 1259)(835, 1219, 878, 1262)(836, 1220, 842, 1226)(838, 1222, 882, 1266)(839, 1223, 883, 1267)(844, 1228, 891, 1275)(845, 1229, 890, 1274)(846, 1230, 893, 1277)(848, 1232, 896, 1280)(850, 1234, 900, 1284)(853, 1237, 903, 1287)(855, 1239, 880, 1264)(856, 1240, 905, 1289)(859, 1243, 911, 1295)(860, 1244, 895, 1279)(861, 1245, 913, 1297)(862, 1246, 909, 1293)(863, 1247, 916, 1300)(864, 1248, 917, 1301)(867, 1251, 915, 1299)(869, 1253, 924, 1308)(870, 1254, 885, 1269)(872, 1256, 928, 1312)(873, 1257, 927, 1311)(874, 1258, 929, 1313)(876, 1260, 933, 1317)(877, 1261, 934, 1318)(879, 1263, 937, 1321)(881, 1265, 938, 1322)(884, 1268, 944, 1328)(886, 1270, 946, 1330)(887, 1271, 942, 1326)(888, 1272, 949, 1333)(889, 1273, 950, 1334)(892, 1276, 948, 1332)(894, 1278, 957, 1341)(897, 1281, 961, 1345)(898, 1282, 960, 1344)(899, 1283, 962, 1346)(901, 1285, 966, 1350)(902, 1286, 967, 1351)(904, 1288, 970, 1354)(906, 1290, 973, 1357)(907, 1291, 972, 1356)(908, 1292, 975, 1359)(910, 1294, 978, 1362)(912, 1296, 982, 1366)(914, 1298, 984, 1368)(918, 1302, 990, 1374)(919, 1303, 977, 1361)(920, 1304, 992, 1376)(921, 1305, 988, 1372)(922, 1306, 955, 1339)(923, 1307, 994, 1378)(925, 1309, 997, 1381)(926, 1310, 998, 1382)(930, 1314, 1004, 1388)(931, 1315, 1003, 1387)(932, 1316, 1005, 1389)(935, 1319, 1008, 1392)(936, 1320, 1009, 1393)(939, 1323, 1012, 1396)(940, 1324, 1011, 1395)(941, 1325, 1014, 1398)(943, 1327, 1017, 1401)(945, 1329, 1021, 1405)(947, 1331, 1023, 1407)(951, 1335, 1029, 1413)(952, 1336, 1016, 1400)(953, 1337, 1031, 1415)(954, 1338, 1027, 1411)(956, 1340, 1033, 1417)(958, 1342, 1036, 1420)(959, 1343, 1037, 1421)(963, 1347, 1043, 1427)(964, 1348, 1042, 1426)(965, 1349, 1044, 1428)(968, 1352, 1047, 1431)(969, 1353, 1048, 1432)(971, 1355, 1049, 1433)(974, 1358, 1025, 1409)(976, 1360, 1055, 1439)(979, 1363, 1059, 1443)(980, 1364, 1058, 1442)(981, 1365, 1060, 1444)(983, 1367, 1064, 1448)(985, 1369, 1035, 1419)(986, 1370, 1013, 1397)(987, 1371, 1067, 1451)(989, 1373, 1068, 1452)(991, 1375, 1034, 1418)(993, 1377, 1032, 1416)(995, 1379, 1030, 1414)(996, 1380, 1024, 1408)(999, 1383, 1076, 1460)(1000, 1384, 1077, 1461)(1001, 1385, 1074, 1458)(1002, 1386, 1078, 1462)(1006, 1390, 1079, 1463)(1007, 1391, 1080, 1464)(1010, 1394, 1081, 1465)(1015, 1399, 1087, 1471)(1018, 1402, 1091, 1475)(1019, 1403, 1090, 1474)(1020, 1404, 1092, 1476)(1022, 1406, 1096, 1480)(1026, 1410, 1099, 1483)(1028, 1412, 1100, 1484)(1038, 1422, 1108, 1492)(1039, 1423, 1109, 1493)(1040, 1424, 1106, 1490)(1041, 1425, 1110, 1494)(1045, 1429, 1111, 1495)(1046, 1430, 1112, 1496)(1050, 1434, 1115, 1499)(1051, 1435, 1095, 1479)(1052, 1436, 1116, 1500)(1053, 1437, 1113, 1497)(1054, 1438, 1117, 1501)(1056, 1440, 1105, 1489)(1057, 1441, 1118, 1502)(1061, 1445, 1104, 1488)(1062, 1446, 1123, 1507)(1063, 1447, 1083, 1467)(1065, 1449, 1103, 1487)(1066, 1450, 1098, 1482)(1069, 1453, 1101, 1485)(1070, 1454, 1126, 1510)(1071, 1455, 1097, 1481)(1072, 1456, 1093, 1477)(1073, 1457, 1088, 1472)(1075, 1459, 1127, 1511)(1082, 1466, 1130, 1514)(1084, 1468, 1131, 1515)(1085, 1469, 1128, 1512)(1086, 1470, 1132, 1516)(1089, 1473, 1133, 1517)(1094, 1478, 1138, 1522)(1102, 1486, 1141, 1525)(1107, 1491, 1142, 1526)(1114, 1498, 1143, 1527)(1119, 1503, 1140, 1524)(1120, 1504, 1139, 1523)(1121, 1505, 1145, 1529)(1122, 1506, 1137, 1521)(1124, 1508, 1135, 1519)(1125, 1509, 1134, 1518)(1129, 1513, 1147, 1531)(1136, 1520, 1149, 1533)(1144, 1528, 1151, 1535)(1146, 1530, 1150, 1534)(1148, 1532, 1152, 1536)
	L = (1, 771)(2, 773)(3, 776)(4, 769)(5, 780)(6, 770)(7, 783)(8, 786)(9, 787)(10, 772)(11, 790)(12, 793)(13, 794)(14, 774)(15, 797)(16, 775)(17, 800)(18, 778)(19, 804)(20, 777)(21, 806)(22, 808)(23, 779)(24, 811)(25, 782)(26, 815)(27, 781)(28, 817)(29, 820)(30, 821)(31, 784)(32, 824)(33, 785)(34, 827)(35, 829)(36, 832)(37, 788)(38, 835)(39, 789)(40, 838)(41, 839)(42, 791)(43, 842)(44, 792)(45, 845)(46, 847)(47, 850)(48, 795)(49, 853)(50, 796)(51, 855)(52, 799)(53, 859)(54, 798)(55, 861)(56, 863)(57, 864)(58, 801)(59, 867)(60, 802)(61, 870)(62, 803)(63, 873)(64, 805)(65, 876)(66, 868)(67, 879)(68, 807)(69, 880)(70, 810)(71, 884)(72, 809)(73, 886)(74, 888)(75, 889)(76, 812)(77, 892)(78, 813)(79, 895)(80, 814)(81, 898)(82, 816)(83, 901)(84, 893)(85, 904)(86, 818)(87, 833)(88, 819)(89, 907)(90, 909)(91, 912)(92, 822)(93, 914)(94, 823)(95, 826)(96, 918)(97, 825)(98, 920)(99, 922)(100, 923)(101, 828)(102, 925)(103, 926)(104, 830)(105, 924)(106, 831)(107, 931)(108, 906)(109, 834)(110, 921)(111, 836)(112, 851)(113, 837)(114, 940)(115, 942)(116, 945)(117, 840)(118, 947)(119, 841)(120, 844)(121, 951)(122, 843)(123, 953)(124, 955)(125, 956)(126, 846)(127, 958)(128, 959)(129, 848)(130, 957)(131, 849)(132, 964)(133, 939)(134, 852)(135, 954)(136, 854)(137, 971)(138, 856)(139, 974)(140, 857)(141, 977)(142, 858)(143, 980)(144, 860)(145, 975)(146, 985)(147, 862)(148, 986)(149, 988)(150, 991)(151, 865)(152, 993)(153, 866)(154, 869)(155, 995)(156, 996)(157, 872)(158, 999)(159, 871)(160, 1000)(161, 1002)(162, 874)(163, 987)(164, 875)(165, 1005)(166, 1007)(167, 877)(168, 878)(169, 976)(170, 1010)(171, 881)(172, 1013)(173, 882)(174, 1016)(175, 883)(176, 1019)(177, 885)(178, 1014)(179, 1024)(180, 887)(181, 1025)(182, 1027)(183, 1030)(184, 890)(185, 1032)(186, 891)(187, 894)(188, 1034)(189, 1035)(190, 897)(191, 1038)(192, 896)(193, 1039)(194, 1041)(195, 899)(196, 1026)(197, 900)(198, 1044)(199, 1046)(200, 902)(201, 903)(202, 1015)(203, 1050)(204, 905)(205, 1052)(206, 937)(207, 1054)(208, 908)(209, 1056)(210, 1057)(211, 910)(212, 1055)(213, 911)(214, 1062)(215, 913)(216, 1053)(217, 915)(218, 932)(219, 916)(220, 934)(221, 917)(222, 1070)(223, 919)(224, 1067)(225, 936)(226, 927)(227, 935)(228, 930)(229, 1051)(230, 1074)(231, 1073)(232, 1072)(233, 928)(234, 1071)(235, 929)(236, 1066)(237, 1063)(238, 933)(239, 1069)(240, 1065)(241, 1061)(242, 1082)(243, 938)(244, 1084)(245, 970)(246, 1086)(247, 941)(248, 1088)(249, 1089)(250, 943)(251, 1087)(252, 944)(253, 1094)(254, 946)(255, 1085)(256, 948)(257, 965)(258, 949)(259, 967)(260, 950)(261, 1102)(262, 952)(263, 1099)(264, 969)(265, 960)(266, 968)(267, 963)(268, 1083)(269, 1106)(270, 1105)(271, 1104)(272, 961)(273, 1103)(274, 962)(275, 1098)(276, 1095)(277, 966)(278, 1101)(279, 1097)(280, 1093)(281, 1113)(282, 997)(283, 972)(284, 1004)(285, 973)(286, 1008)(287, 1009)(288, 979)(289, 1119)(290, 978)(291, 1120)(292, 1122)(293, 981)(294, 1006)(295, 982)(296, 1124)(297, 983)(298, 984)(299, 1001)(300, 1125)(301, 989)(302, 1003)(303, 990)(304, 992)(305, 994)(306, 1126)(307, 998)(308, 1114)(309, 1115)(310, 1116)(311, 1121)(312, 1117)(313, 1128)(314, 1036)(315, 1011)(316, 1043)(317, 1012)(318, 1047)(319, 1048)(320, 1018)(321, 1134)(322, 1017)(323, 1135)(324, 1137)(325, 1020)(326, 1045)(327, 1021)(328, 1139)(329, 1022)(330, 1023)(331, 1040)(332, 1140)(333, 1028)(334, 1042)(335, 1029)(336, 1031)(337, 1033)(338, 1141)(339, 1037)(340, 1129)(341, 1130)(342, 1131)(343, 1136)(344, 1132)(345, 1064)(346, 1049)(347, 1144)(348, 1079)(349, 1058)(350, 1145)(351, 1080)(352, 1078)(353, 1059)(354, 1077)(355, 1060)(356, 1076)(357, 1075)(358, 1068)(359, 1146)(360, 1096)(361, 1081)(362, 1148)(363, 1111)(364, 1090)(365, 1149)(366, 1112)(367, 1110)(368, 1091)(369, 1109)(370, 1092)(371, 1108)(372, 1107)(373, 1100)(374, 1150)(375, 1127)(376, 1123)(377, 1151)(378, 1118)(379, 1142)(380, 1138)(381, 1152)(382, 1133)(383, 1143)(384, 1147)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2337
Graph:: simple bipartite
	v = 576 e = 768 f = 160
	degree seq :: [ 2^384, 4^192 ]

E17.2339 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (R * Y2 * Y3^-1)^2, Y3^-2 * Y1 * Y3^-2 * Y1^-1, Y1^6, (Y3^-1 * Y1^-1)^4, Y1 * Y3 * Y1^2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^2 * Y3 * Y1, Y1^-1 * Y3 * Y1^-3 * Y3 * Y1^-3 * Y3^-1 * Y1^-3 * Y3^-1 * Y1^-2, Y3 * Y1^3 * Y3 * Y1^3 * Y3^-1 * Y1^-2 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2, Y1^-2 * Y3 * Y1^3 * Y3 * Y1^3 * Y3^-1 * Y1^-2 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1^-2 * Y3 * Y1^3 * Y3^-1 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2, Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^2 * Y3^-1 * Y1^-2 * Y3^-1 * Y1^2 * Y3^-1 * Y1^-2 ]
Map:: polytopal
	R = (1, 385, 2, 386, 5, 389, 11, 395, 10, 394, 4, 388)(3, 387, 7, 391, 15, 399, 29, 413, 18, 402, 8, 392)(6, 390, 13, 397, 25, 409, 46, 430, 28, 412, 14, 398)(9, 393, 19, 403, 35, 419, 61, 445, 37, 421, 20, 404)(12, 396, 23, 407, 42, 426, 73, 457, 45, 429, 24, 408)(16, 400, 31, 415, 54, 438, 93, 477, 56, 440, 32, 416)(17, 401, 33, 417, 57, 441, 82, 466, 48, 432, 26, 410)(21, 405, 38, 422, 66, 450, 109, 493, 68, 452, 39, 423)(22, 406, 40, 424, 69, 453, 112, 496, 72, 456, 41, 425)(27, 411, 49, 433, 83, 467, 120, 504, 75, 459, 43, 427)(30, 414, 52, 436, 89, 473, 141, 525, 92, 476, 53, 437)(34, 418, 59, 443, 100, 484, 118, 502, 74, 458, 60, 444)(36, 420, 63, 447, 105, 489, 162, 546, 107, 491, 64, 448)(44, 428, 76, 460, 121, 505, 173, 557, 114, 498, 70, 454)(47, 431, 79, 463, 65, 449, 108, 492, 129, 513, 80, 464)(50, 434, 85, 469, 135, 519, 171, 555, 113, 497, 86, 470)(51, 435, 87, 471, 137, 521, 170, 554, 140, 524, 88, 472)(55, 439, 95, 479, 147, 531, 208, 592, 142, 526, 90, 474)(58, 442, 98, 482, 119, 503, 180, 564, 154, 538, 99, 483)(62, 446, 103, 487, 116, 500, 176, 560, 161, 545, 104, 488)(67, 451, 71, 455, 115, 499, 174, 558, 169, 553, 111, 495)(77, 461, 123, 507, 185, 569, 167, 551, 110, 494, 124, 508)(78, 462, 125, 509, 187, 571, 166, 550, 190, 574, 126, 510)(81, 465, 130, 514, 193, 577, 146, 530, 94, 478, 127, 511)(84, 468, 133, 517, 172, 556, 243, 627, 200, 584, 134, 518)(91, 475, 143, 527, 209, 593, 245, 629, 204, 588, 138, 522)(96, 480, 149, 533, 219, 603, 247, 631, 203, 587, 150, 534)(97, 481, 151, 535, 206, 590, 242, 626, 223, 607, 152, 536)(101, 485, 139, 523, 205, 589, 244, 628, 228, 612, 156, 540)(102, 486, 157, 541, 178, 562, 117, 501, 177, 561, 158, 542)(106, 490, 163, 547, 234, 618, 246, 630, 175, 559, 159, 543)(122, 506, 183, 567, 168, 552, 240, 624, 257, 641, 184, 568)(128, 512, 191, 575, 264, 648, 233, 617, 261, 645, 188, 572)(131, 515, 195, 579, 271, 655, 207, 591, 260, 644, 196, 580)(132, 516, 197, 581, 263, 647, 239, 623, 275, 659, 198, 582)(136, 520, 189, 573, 262, 646, 241, 625, 280, 664, 202, 586)(144, 528, 211, 595, 258, 642, 226, 610, 155, 539, 212, 596)(145, 529, 213, 597, 248, 632, 179, 563, 250, 634, 214, 598)(148, 532, 217, 601, 281, 665, 314, 698, 294, 678, 218, 602)(153, 537, 224, 608, 299, 683, 313, 697, 282, 666, 221, 605)(160, 544, 231, 615, 255, 639, 182, 566, 254, 638, 229, 613)(164, 548, 236, 620, 259, 643, 186, 570, 249, 633, 237, 621)(165, 549, 230, 614, 253, 637, 181, 565, 252, 636, 238, 622)(192, 576, 266, 650, 232, 616, 278, 662, 201, 585, 267, 651)(194, 578, 269, 653, 324, 708, 283, 667, 333, 717, 270, 654)(199, 583, 276, 660, 338, 722, 312, 696, 325, 709, 273, 657)(210, 594, 285, 669, 227, 611, 304, 688, 322, 706, 286, 670)(215, 599, 290, 674, 317, 701, 251, 635, 316, 700, 288, 672)(216, 600, 291, 675, 315, 699, 303, 687, 323, 707, 292, 676)(220, 604, 289, 673, 346, 730, 305, 689, 320, 704, 296, 680)(222, 606, 297, 681, 344, 728, 284, 668, 335, 719, 272, 656)(225, 609, 301, 685, 337, 721, 287, 671, 334, 718, 302, 686)(235, 619, 308, 692, 319, 703, 256, 640, 321, 705, 309, 693)(265, 649, 327, 711, 279, 663, 343, 727, 307, 691, 328, 712)(268, 652, 330, 714, 298, 682, 342, 726, 295, 679, 331, 715)(274, 658, 336, 720, 310, 694, 326, 710, 361, 745, 318, 702)(277, 661, 340, 724, 306, 690, 329, 713, 311, 695, 341, 725)(293, 677, 350, 734, 362, 746, 358, 742, 375, 759, 348, 732)(300, 684, 355, 739, 368, 752, 345, 729, 370, 754, 356, 740)(332, 716, 366, 750, 351, 735, 374, 758, 353, 737, 364, 748)(339, 723, 371, 755, 380, 764, 363, 747, 359, 743, 372, 756)(347, 731, 365, 749, 352, 736, 373, 757, 354, 738, 376, 760)(349, 733, 369, 753, 357, 741, 360, 744, 379, 763, 367, 751)(377, 761, 381, 765, 384, 768, 383, 767, 378, 762, 382, 766)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 769)(4, 777)(5, 780)(6, 770)(7, 784)(8, 785)(9, 772)(10, 789)(11, 790)(12, 773)(13, 794)(14, 795)(15, 798)(16, 775)(17, 776)(18, 802)(19, 804)(20, 799)(21, 778)(22, 779)(23, 811)(24, 812)(25, 815)(26, 781)(27, 782)(28, 818)(29, 819)(30, 783)(31, 788)(32, 823)(33, 826)(34, 786)(35, 830)(36, 787)(37, 833)(38, 835)(39, 831)(40, 838)(41, 839)(42, 842)(43, 791)(44, 792)(45, 845)(46, 846)(47, 793)(48, 849)(49, 852)(50, 796)(51, 797)(52, 858)(53, 859)(54, 862)(55, 800)(56, 864)(57, 865)(58, 801)(59, 869)(60, 866)(61, 870)(62, 803)(63, 807)(64, 874)(65, 805)(66, 878)(67, 806)(68, 857)(69, 881)(70, 808)(71, 809)(72, 884)(73, 885)(74, 810)(75, 887)(76, 890)(77, 813)(78, 814)(79, 895)(80, 896)(81, 816)(82, 899)(83, 900)(84, 817)(85, 904)(86, 901)(87, 906)(88, 907)(89, 836)(90, 820)(91, 821)(92, 912)(93, 913)(94, 822)(95, 916)(96, 824)(97, 825)(98, 828)(99, 921)(100, 923)(101, 827)(102, 829)(103, 927)(104, 928)(105, 910)(106, 832)(107, 932)(108, 933)(109, 934)(110, 834)(111, 936)(112, 938)(113, 837)(114, 940)(115, 943)(116, 840)(117, 841)(118, 947)(119, 843)(120, 949)(121, 950)(122, 844)(123, 954)(124, 951)(125, 956)(126, 957)(127, 847)(128, 848)(129, 960)(130, 962)(131, 850)(132, 851)(133, 854)(134, 967)(135, 969)(136, 853)(137, 971)(138, 855)(139, 856)(140, 974)(141, 975)(142, 873)(143, 978)(144, 860)(145, 861)(146, 983)(147, 984)(148, 863)(149, 988)(150, 985)(151, 989)(152, 990)(153, 867)(154, 993)(155, 868)(156, 995)(157, 997)(158, 998)(159, 871)(160, 872)(161, 1000)(162, 1001)(163, 1003)(164, 875)(165, 876)(166, 877)(167, 1007)(168, 879)(169, 1009)(170, 880)(171, 1010)(172, 882)(173, 1012)(174, 1013)(175, 883)(176, 1015)(177, 1016)(178, 1017)(179, 886)(180, 1019)(181, 888)(182, 889)(183, 892)(184, 1024)(185, 1026)(186, 891)(187, 1028)(188, 893)(189, 894)(190, 1031)(191, 1033)(192, 897)(193, 1036)(194, 898)(195, 1040)(196, 1037)(197, 1041)(198, 1042)(199, 902)(200, 1045)(201, 903)(202, 1047)(203, 905)(204, 1049)(205, 1050)(206, 908)(207, 909)(208, 1051)(209, 1052)(210, 911)(211, 1055)(212, 1053)(213, 1056)(214, 1057)(215, 914)(216, 915)(217, 918)(218, 1061)(219, 1063)(220, 917)(221, 919)(222, 920)(223, 1066)(224, 1068)(225, 922)(226, 1071)(227, 924)(228, 1073)(229, 925)(230, 926)(231, 1074)(232, 929)(233, 930)(234, 1075)(235, 931)(236, 1078)(237, 1076)(238, 1079)(239, 935)(240, 1080)(241, 937)(242, 939)(243, 1081)(244, 941)(245, 942)(246, 1082)(247, 944)(248, 945)(249, 946)(250, 1083)(251, 948)(252, 1086)(253, 1084)(254, 1087)(255, 1088)(256, 952)(257, 1090)(258, 953)(259, 1091)(260, 955)(261, 1092)(262, 1093)(263, 958)(264, 1094)(265, 959)(266, 1097)(267, 1095)(268, 961)(269, 964)(270, 1100)(271, 1102)(272, 963)(273, 965)(274, 966)(275, 1105)(276, 1107)(277, 968)(278, 1110)(279, 970)(280, 1112)(281, 972)(282, 973)(283, 976)(284, 977)(285, 980)(286, 1113)(287, 979)(288, 981)(289, 982)(290, 1115)(291, 1116)(292, 1117)(293, 986)(294, 1119)(295, 987)(296, 1120)(297, 1121)(298, 991)(299, 1122)(300, 992)(301, 1125)(302, 1123)(303, 994)(304, 1126)(305, 996)(306, 999)(307, 1002)(308, 1005)(309, 1127)(310, 1004)(311, 1006)(312, 1008)(313, 1011)(314, 1014)(315, 1018)(316, 1021)(317, 1128)(318, 1020)(319, 1022)(320, 1023)(321, 1130)(322, 1025)(323, 1027)(324, 1029)(325, 1030)(326, 1032)(327, 1035)(328, 1131)(329, 1034)(330, 1132)(331, 1133)(332, 1038)(333, 1135)(334, 1039)(335, 1136)(336, 1137)(337, 1043)(338, 1138)(339, 1044)(340, 1141)(341, 1139)(342, 1046)(343, 1142)(344, 1048)(345, 1054)(346, 1143)(347, 1058)(348, 1059)(349, 1060)(350, 1145)(351, 1062)(352, 1064)(353, 1065)(354, 1067)(355, 1070)(356, 1146)(357, 1069)(358, 1072)(359, 1077)(360, 1085)(361, 1148)(362, 1089)(363, 1096)(364, 1098)(365, 1099)(366, 1149)(367, 1101)(368, 1103)(369, 1104)(370, 1106)(371, 1109)(372, 1150)(373, 1108)(374, 1111)(375, 1114)(376, 1151)(377, 1118)(378, 1124)(379, 1152)(380, 1129)(381, 1134)(382, 1140)(383, 1144)(384, 1147)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2336
Graph:: simple bipartite
	v = 448 e = 768 f = 288
	degree seq :: [ 2^384, 12^64 ]

E17.2340 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^6, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y2^-1)^4, (Y1 * Y2^-1)^4, (Y1 * Y2^2)^4, Y2 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^2, (Y2^2 * Y1 * Y2^-2 * Y1)^3, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 11, 395)(6, 390, 13, 397)(8, 392, 17, 401)(10, 394, 21, 405)(12, 396, 24, 408)(14, 398, 28, 412)(15, 399, 27, 411)(16, 400, 30, 414)(18, 402, 34, 418)(19, 403, 35, 419)(20, 404, 22, 406)(23, 407, 41, 425)(25, 409, 45, 429)(26, 410, 46, 430)(29, 413, 51, 435)(31, 415, 55, 439)(32, 416, 54, 438)(33, 417, 57, 441)(36, 420, 63, 447)(37, 421, 65, 449)(38, 422, 66, 450)(39, 423, 61, 445)(40, 424, 69, 453)(42, 426, 73, 457)(43, 427, 72, 456)(44, 428, 75, 459)(47, 431, 81, 465)(48, 432, 83, 467)(49, 433, 84, 468)(50, 434, 79, 463)(52, 436, 89, 473)(53, 437, 90, 474)(56, 440, 86, 470)(58, 442, 98, 482)(59, 443, 97, 481)(60, 444, 100, 484)(62, 446, 103, 487)(64, 448, 107, 491)(67, 451, 110, 494)(68, 452, 74, 458)(70, 454, 114, 498)(71, 455, 115, 499)(76, 460, 123, 507)(77, 461, 122, 506)(78, 462, 125, 509)(80, 464, 128, 512)(82, 466, 132, 516)(85, 469, 135, 519)(87, 471, 112, 496)(88, 472, 137, 521)(91, 475, 143, 527)(92, 476, 127, 511)(93, 477, 145, 529)(94, 478, 141, 525)(95, 479, 148, 532)(96, 480, 149, 533)(99, 483, 147, 531)(101, 485, 156, 540)(102, 486, 117, 501)(104, 488, 160, 544)(105, 489, 159, 543)(106, 490, 161, 545)(108, 492, 165, 549)(109, 493, 166, 550)(111, 495, 169, 553)(113, 497, 170, 554)(116, 500, 176, 560)(118, 502, 178, 562)(119, 503, 174, 558)(120, 504, 181, 565)(121, 505, 182, 566)(124, 508, 180, 564)(126, 510, 189, 573)(129, 513, 193, 577)(130, 514, 192, 576)(131, 515, 194, 578)(133, 517, 198, 582)(134, 518, 199, 583)(136, 520, 202, 586)(138, 522, 205, 589)(139, 523, 204, 588)(140, 524, 207, 591)(142, 526, 210, 594)(144, 528, 214, 598)(146, 530, 216, 600)(150, 534, 222, 606)(151, 535, 209, 593)(152, 536, 224, 608)(153, 537, 220, 604)(154, 538, 187, 571)(155, 539, 226, 610)(157, 541, 229, 613)(158, 542, 230, 614)(162, 546, 236, 620)(163, 547, 235, 619)(164, 548, 237, 621)(167, 551, 240, 624)(168, 552, 241, 625)(171, 555, 244, 628)(172, 556, 243, 627)(173, 557, 246, 630)(175, 559, 249, 633)(177, 561, 253, 637)(179, 563, 255, 639)(183, 567, 261, 645)(184, 568, 248, 632)(185, 569, 263, 647)(186, 570, 259, 643)(188, 572, 265, 649)(190, 574, 268, 652)(191, 575, 269, 653)(195, 579, 275, 659)(196, 580, 274, 658)(197, 581, 276, 660)(200, 584, 279, 663)(201, 585, 280, 664)(203, 587, 281, 665)(206, 590, 257, 641)(208, 592, 287, 671)(211, 595, 291, 675)(212, 596, 290, 674)(213, 597, 292, 676)(215, 599, 296, 680)(217, 601, 267, 651)(218, 602, 245, 629)(219, 603, 299, 683)(221, 605, 300, 684)(223, 607, 266, 650)(225, 609, 264, 648)(227, 611, 262, 646)(228, 612, 256, 640)(231, 615, 308, 692)(232, 616, 309, 693)(233, 617, 306, 690)(234, 618, 310, 694)(238, 622, 311, 695)(239, 623, 312, 696)(242, 626, 313, 697)(247, 631, 319, 703)(250, 634, 323, 707)(251, 635, 322, 706)(252, 636, 324, 708)(254, 638, 328, 712)(258, 642, 331, 715)(260, 644, 332, 716)(270, 654, 340, 724)(271, 655, 341, 725)(272, 656, 338, 722)(273, 657, 342, 726)(277, 661, 343, 727)(278, 662, 344, 728)(282, 666, 347, 731)(283, 667, 327, 711)(284, 668, 348, 732)(285, 669, 345, 729)(286, 670, 349, 733)(288, 672, 337, 721)(289, 673, 350, 734)(293, 677, 336, 720)(294, 678, 355, 739)(295, 679, 315, 699)(297, 681, 335, 719)(298, 682, 330, 714)(301, 685, 333, 717)(302, 686, 358, 742)(303, 687, 329, 713)(304, 688, 325, 709)(305, 689, 320, 704)(307, 691, 359, 743)(314, 698, 362, 746)(316, 700, 363, 747)(317, 701, 360, 744)(318, 702, 364, 748)(321, 705, 365, 749)(326, 710, 370, 754)(334, 718, 373, 757)(339, 723, 374, 758)(346, 730, 375, 759)(351, 735, 372, 756)(352, 736, 371, 755)(353, 737, 377, 761)(354, 738, 369, 753)(356, 740, 367, 751)(357, 741, 366, 750)(361, 745, 379, 763)(368, 752, 381, 765)(376, 760, 383, 767)(378, 762, 382, 766)(380, 764, 384, 768)(769, 1153, 771, 1155, 776, 1160, 786, 1170, 778, 1162, 772, 1156)(770, 1154, 773, 1157, 780, 1164, 793, 1177, 782, 1166, 774, 1158)(775, 1159, 783, 1167, 797, 1181, 820, 1204, 799, 1183, 784, 1168)(777, 1161, 787, 1171, 804, 1188, 832, 1216, 805, 1189, 788, 1172)(779, 1163, 790, 1174, 808, 1192, 838, 1222, 810, 1194, 791, 1175)(781, 1165, 794, 1178, 815, 1199, 850, 1234, 816, 1200, 795, 1179)(785, 1169, 800, 1184, 824, 1208, 863, 1247, 826, 1210, 801, 1185)(789, 1173, 806, 1190, 835, 1219, 879, 1263, 836, 1220, 807, 1191)(792, 1176, 811, 1195, 842, 1226, 888, 1272, 844, 1228, 812, 1196)(796, 1180, 817, 1201, 853, 1237, 904, 1288, 854, 1238, 818, 1202)(798, 1182, 821, 1205, 859, 1243, 912, 1296, 860, 1244, 822, 1206)(802, 1186, 827, 1211, 867, 1251, 922, 1306, 869, 1253, 828, 1212)(803, 1187, 829, 1213, 870, 1254, 925, 1309, 872, 1256, 830, 1214)(809, 1193, 839, 1223, 884, 1268, 945, 1329, 885, 1269, 840, 1224)(813, 1197, 845, 1229, 892, 1276, 955, 1339, 894, 1278, 846, 1230)(814, 1198, 847, 1231, 895, 1279, 958, 1342, 897, 1281, 848, 1232)(819, 1203, 855, 1239, 833, 1217, 876, 1260, 906, 1290, 856, 1240)(823, 1207, 861, 1245, 914, 1298, 985, 1369, 915, 1299, 862, 1246)(825, 1209, 864, 1248, 918, 1302, 991, 1375, 919, 1303, 865, 1249)(831, 1215, 873, 1257, 924, 1308, 996, 1380, 930, 1314, 874, 1258)(834, 1218, 868, 1252, 923, 1307, 995, 1379, 935, 1319, 877, 1261)(837, 1221, 880, 1264, 851, 1235, 901, 1285, 939, 1323, 881, 1265)(841, 1225, 886, 1270, 947, 1331, 1024, 1408, 948, 1332, 887, 1271)(843, 1227, 889, 1273, 951, 1335, 1030, 1414, 952, 1336, 890, 1274)(849, 1233, 898, 1282, 957, 1341, 1035, 1419, 963, 1347, 899, 1283)(852, 1236, 893, 1277, 956, 1340, 1034, 1418, 968, 1352, 902, 1286)(857, 1241, 907, 1291, 974, 1358, 937, 1321, 976, 1360, 908, 1292)(858, 1242, 909, 1293, 977, 1361, 1056, 1440, 979, 1363, 910, 1294)(866, 1250, 920, 1304, 993, 1377, 936, 1320, 878, 1262, 921, 1305)(871, 1255, 926, 1310, 999, 1383, 1073, 1457, 994, 1378, 927, 1311)(875, 1259, 931, 1315, 987, 1371, 916, 1300, 986, 1370, 932, 1316)(882, 1266, 940, 1324, 1013, 1397, 970, 1354, 1015, 1399, 941, 1325)(883, 1267, 942, 1326, 1016, 1400, 1088, 1472, 1018, 1402, 943, 1327)(891, 1275, 953, 1337, 1032, 1416, 969, 1353, 903, 1287, 954, 1338)(896, 1280, 959, 1343, 1038, 1422, 1105, 1489, 1033, 1417, 960, 1344)(900, 1284, 964, 1348, 1026, 1410, 949, 1333, 1025, 1409, 965, 1349)(905, 1289, 971, 1355, 1050, 1434, 997, 1381, 1051, 1435, 972, 1356)(911, 1295, 980, 1364, 1055, 1439, 1009, 1393, 1061, 1445, 981, 1365)(913, 1297, 975, 1359, 1054, 1438, 1008, 1392, 1065, 1449, 983, 1367)(917, 1301, 988, 1372, 934, 1318, 1007, 1391, 1069, 1453, 989, 1373)(928, 1312, 1000, 1384, 1072, 1456, 992, 1376, 1067, 1451, 1001, 1385)(929, 1313, 1002, 1386, 1071, 1455, 990, 1374, 1070, 1454, 1003, 1387)(933, 1317, 1005, 1389, 1063, 1447, 982, 1366, 1062, 1446, 1006, 1390)(938, 1322, 1010, 1394, 1082, 1466, 1036, 1420, 1083, 1467, 1011, 1395)(944, 1328, 1019, 1403, 1087, 1471, 1048, 1432, 1093, 1477, 1020, 1404)(946, 1330, 1014, 1398, 1086, 1470, 1047, 1431, 1097, 1481, 1022, 1406)(950, 1334, 1027, 1411, 967, 1351, 1046, 1430, 1101, 1485, 1028, 1412)(961, 1345, 1039, 1423, 1104, 1488, 1031, 1415, 1099, 1483, 1040, 1424)(962, 1346, 1041, 1425, 1103, 1487, 1029, 1413, 1102, 1486, 1042, 1426)(966, 1350, 1044, 1428, 1095, 1479, 1021, 1405, 1094, 1478, 1045, 1429)(973, 1357, 1052, 1436, 1004, 1388, 1066, 1450, 984, 1368, 1053, 1437)(978, 1362, 1057, 1441, 1119, 1503, 1080, 1464, 1117, 1501, 1058, 1442)(998, 1382, 1074, 1458, 1126, 1510, 1068, 1452, 1125, 1509, 1075, 1459)(1012, 1396, 1084, 1468, 1043, 1427, 1098, 1482, 1023, 1407, 1085, 1469)(1017, 1401, 1089, 1473, 1134, 1518, 1112, 1496, 1132, 1516, 1090, 1474)(1037, 1421, 1106, 1490, 1141, 1525, 1100, 1484, 1140, 1524, 1107, 1491)(1049, 1433, 1113, 1497, 1064, 1448, 1124, 1508, 1076, 1460, 1114, 1498)(1059, 1443, 1120, 1504, 1078, 1462, 1116, 1500, 1079, 1463, 1121, 1505)(1060, 1444, 1122, 1506, 1077, 1461, 1115, 1499, 1144, 1528, 1123, 1507)(1081, 1465, 1128, 1512, 1096, 1480, 1139, 1523, 1108, 1492, 1129, 1513)(1091, 1475, 1135, 1519, 1110, 1494, 1131, 1515, 1111, 1495, 1136, 1520)(1092, 1476, 1137, 1521, 1109, 1493, 1130, 1514, 1148, 1532, 1138, 1522)(1118, 1502, 1145, 1529, 1151, 1535, 1143, 1527, 1127, 1511, 1146, 1530)(1133, 1517, 1149, 1533, 1152, 1536, 1147, 1531, 1142, 1526, 1150, 1534)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 779)(6, 781)(7, 771)(8, 785)(9, 772)(10, 789)(11, 773)(12, 792)(13, 774)(14, 796)(15, 795)(16, 798)(17, 776)(18, 802)(19, 803)(20, 790)(21, 778)(22, 788)(23, 809)(24, 780)(25, 813)(26, 814)(27, 783)(28, 782)(29, 819)(30, 784)(31, 823)(32, 822)(33, 825)(34, 786)(35, 787)(36, 831)(37, 833)(38, 834)(39, 829)(40, 837)(41, 791)(42, 841)(43, 840)(44, 843)(45, 793)(46, 794)(47, 849)(48, 851)(49, 852)(50, 847)(51, 797)(52, 857)(53, 858)(54, 800)(55, 799)(56, 854)(57, 801)(58, 866)(59, 865)(60, 868)(61, 807)(62, 871)(63, 804)(64, 875)(65, 805)(66, 806)(67, 878)(68, 842)(69, 808)(70, 882)(71, 883)(72, 811)(73, 810)(74, 836)(75, 812)(76, 891)(77, 890)(78, 893)(79, 818)(80, 896)(81, 815)(82, 900)(83, 816)(84, 817)(85, 903)(86, 824)(87, 880)(88, 905)(89, 820)(90, 821)(91, 911)(92, 895)(93, 913)(94, 909)(95, 916)(96, 917)(97, 827)(98, 826)(99, 915)(100, 828)(101, 924)(102, 885)(103, 830)(104, 928)(105, 927)(106, 929)(107, 832)(108, 933)(109, 934)(110, 835)(111, 937)(112, 855)(113, 938)(114, 838)(115, 839)(116, 944)(117, 870)(118, 946)(119, 942)(120, 949)(121, 950)(122, 845)(123, 844)(124, 948)(125, 846)(126, 957)(127, 860)(128, 848)(129, 961)(130, 960)(131, 962)(132, 850)(133, 966)(134, 967)(135, 853)(136, 970)(137, 856)(138, 973)(139, 972)(140, 975)(141, 862)(142, 978)(143, 859)(144, 982)(145, 861)(146, 984)(147, 867)(148, 863)(149, 864)(150, 990)(151, 977)(152, 992)(153, 988)(154, 955)(155, 994)(156, 869)(157, 997)(158, 998)(159, 873)(160, 872)(161, 874)(162, 1004)(163, 1003)(164, 1005)(165, 876)(166, 877)(167, 1008)(168, 1009)(169, 879)(170, 881)(171, 1012)(172, 1011)(173, 1014)(174, 887)(175, 1017)(176, 884)(177, 1021)(178, 886)(179, 1023)(180, 892)(181, 888)(182, 889)(183, 1029)(184, 1016)(185, 1031)(186, 1027)(187, 922)(188, 1033)(189, 894)(190, 1036)(191, 1037)(192, 898)(193, 897)(194, 899)(195, 1043)(196, 1042)(197, 1044)(198, 901)(199, 902)(200, 1047)(201, 1048)(202, 904)(203, 1049)(204, 907)(205, 906)(206, 1025)(207, 908)(208, 1055)(209, 919)(210, 910)(211, 1059)(212, 1058)(213, 1060)(214, 912)(215, 1064)(216, 914)(217, 1035)(218, 1013)(219, 1067)(220, 921)(221, 1068)(222, 918)(223, 1034)(224, 920)(225, 1032)(226, 923)(227, 1030)(228, 1024)(229, 925)(230, 926)(231, 1076)(232, 1077)(233, 1074)(234, 1078)(235, 931)(236, 930)(237, 932)(238, 1079)(239, 1080)(240, 935)(241, 936)(242, 1081)(243, 940)(244, 939)(245, 986)(246, 941)(247, 1087)(248, 952)(249, 943)(250, 1091)(251, 1090)(252, 1092)(253, 945)(254, 1096)(255, 947)(256, 996)(257, 974)(258, 1099)(259, 954)(260, 1100)(261, 951)(262, 995)(263, 953)(264, 993)(265, 956)(266, 991)(267, 985)(268, 958)(269, 959)(270, 1108)(271, 1109)(272, 1106)(273, 1110)(274, 964)(275, 963)(276, 965)(277, 1111)(278, 1112)(279, 968)(280, 969)(281, 971)(282, 1115)(283, 1095)(284, 1116)(285, 1113)(286, 1117)(287, 976)(288, 1105)(289, 1118)(290, 980)(291, 979)(292, 981)(293, 1104)(294, 1123)(295, 1083)(296, 983)(297, 1103)(298, 1098)(299, 987)(300, 989)(301, 1101)(302, 1126)(303, 1097)(304, 1093)(305, 1088)(306, 1001)(307, 1127)(308, 999)(309, 1000)(310, 1002)(311, 1006)(312, 1007)(313, 1010)(314, 1130)(315, 1063)(316, 1131)(317, 1128)(318, 1132)(319, 1015)(320, 1073)(321, 1133)(322, 1019)(323, 1018)(324, 1020)(325, 1072)(326, 1138)(327, 1051)(328, 1022)(329, 1071)(330, 1066)(331, 1026)(332, 1028)(333, 1069)(334, 1141)(335, 1065)(336, 1061)(337, 1056)(338, 1040)(339, 1142)(340, 1038)(341, 1039)(342, 1041)(343, 1045)(344, 1046)(345, 1053)(346, 1143)(347, 1050)(348, 1052)(349, 1054)(350, 1057)(351, 1140)(352, 1139)(353, 1145)(354, 1137)(355, 1062)(356, 1135)(357, 1134)(358, 1070)(359, 1075)(360, 1085)(361, 1147)(362, 1082)(363, 1084)(364, 1086)(365, 1089)(366, 1125)(367, 1124)(368, 1149)(369, 1122)(370, 1094)(371, 1120)(372, 1119)(373, 1102)(374, 1107)(375, 1114)(376, 1151)(377, 1121)(378, 1150)(379, 1129)(380, 1152)(381, 1136)(382, 1146)(383, 1144)(384, 1148)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2341
Graph:: bipartite
	v = 256 e = 768 f = 480
	degree seq :: [ 4^192, 12^64 ]

E17.2341 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5657>$ (small group id <384, 5657>)
Aut   = $<768, 1087581>$ (small group id <768, 1087581>)
|r| :: 2
Presentation :: [ Y2, R^2, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y1^4, Y3^6, Y3^6, (R * Y2 * Y3^-1)^2, (Y3 * Y1^-1)^4, (Y3 * Y2^-1)^6, (Y3^-2 * Y1)^4, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^4 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1^2 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 * Y3^3 * Y1^-1 * Y3 ]
Map:: polytopal
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 57, 441, 29, 413)(17, 401, 36, 420, 67, 451, 38, 422)(20, 404, 42, 426, 74, 458, 40, 424)(22, 406, 45, 429, 78, 462, 43, 427)(24, 408, 49, 433, 87, 471, 50, 434)(26, 410, 44, 428, 63, 447, 41, 425)(27, 411, 53, 437, 92, 476, 54, 438)(30, 414, 55, 439, 65, 449, 39, 423)(32, 416, 60, 444, 102, 486, 62, 446)(35, 419, 66, 450, 109, 493, 64, 448)(37, 421, 69, 453, 116, 500, 70, 454)(46, 430, 82, 466, 133, 517, 80, 464)(48, 432, 85, 469, 137, 521, 83, 467)(51, 435, 84, 468, 130, 514, 81, 465)(52, 436, 75, 459, 125, 509, 91, 475)(56, 440, 96, 480, 154, 538, 98, 482)(58, 442, 100, 484, 153, 537, 95, 479)(59, 443, 71, 455, 113, 497, 99, 483)(61, 445, 104, 488, 163, 547, 105, 489)(68, 452, 114, 498, 175, 559, 112, 496)(72, 456, 110, 494, 172, 556, 120, 504)(73, 457, 121, 505, 186, 570, 123, 507)(76, 460, 106, 490, 160, 544, 124, 508)(77, 461, 127, 511, 191, 575, 129, 513)(79, 463, 131, 515, 167, 551, 107, 491)(86, 470, 141, 525, 208, 592, 139, 523)(88, 472, 144, 528, 212, 596, 142, 526)(89, 473, 143, 527, 206, 590, 140, 524)(90, 474, 134, 518, 166, 550, 126, 510)(93, 477, 150, 534, 216, 600, 148, 532)(94, 478, 149, 533, 171, 555, 111, 495)(97, 481, 156, 540, 223, 607, 157, 541)(101, 485, 152, 536, 173, 557, 119, 503)(103, 487, 161, 545, 226, 610, 159, 543)(108, 492, 168, 552, 237, 621, 170, 554)(115, 499, 179, 563, 247, 631, 177, 561)(117, 501, 182, 566, 251, 635, 180, 564)(118, 502, 181, 565, 245, 629, 178, 562)(122, 506, 188, 572, 257, 641, 189, 573)(128, 512, 193, 577, 263, 647, 194, 578)(132, 516, 198, 582, 267, 651, 200, 584)(135, 519, 195, 579, 260, 644, 201, 585)(136, 520, 203, 587, 271, 655, 205, 589)(138, 522, 190, 574, 227, 611, 196, 580)(145, 529, 184, 568, 248, 632, 214, 598)(146, 530, 209, 593, 266, 650, 202, 586)(147, 531, 185, 569, 236, 620, 197, 581)(151, 535, 219, 603, 286, 670, 218, 602)(155, 539, 221, 605, 288, 672, 220, 604)(158, 542, 176, 560, 241, 625, 217, 601)(162, 546, 230, 614, 296, 680, 228, 612)(164, 548, 233, 617, 300, 684, 231, 615)(165, 549, 232, 616, 294, 678, 229, 613)(169, 553, 239, 623, 306, 690, 240, 624)(174, 558, 242, 626, 308, 692, 244, 628)(183, 567, 235, 619, 297, 681, 253, 637)(187, 571, 255, 639, 320, 704, 254, 638)(192, 576, 261, 645, 324, 708, 259, 643)(199, 583, 269, 653, 302, 686, 234, 618)(204, 588, 273, 657, 321, 705, 256, 640)(207, 591, 276, 660, 322, 706, 258, 642)(210, 594, 274, 658, 335, 719, 278, 662)(211, 595, 279, 663, 312, 696, 252, 636)(213, 597, 270, 654, 325, 709, 275, 659)(215, 599, 282, 666, 340, 724, 284, 668)(222, 606, 283, 667, 342, 726, 289, 673)(224, 608, 285, 669, 343, 727, 290, 674)(225, 609, 291, 675, 345, 729, 293, 677)(238, 622, 304, 688, 357, 741, 303, 687)(243, 627, 310, 694, 358, 742, 305, 689)(246, 630, 313, 697, 359, 743, 307, 691)(249, 633, 311, 695, 361, 745, 315, 699)(250, 634, 316, 700, 349, 733, 301, 685)(262, 646, 292, 676, 347, 731, 326, 710)(264, 648, 295, 679, 350, 734, 328, 712)(265, 649, 329, 713, 369, 753, 327, 711)(268, 652, 299, 683, 353, 737, 331, 715)(272, 656, 319, 703, 366, 750, 334, 718)(277, 661, 318, 702, 351, 735, 330, 714)(280, 664, 317, 701, 354, 738, 332, 716)(281, 665, 314, 698, 355, 739, 333, 717)(287, 671, 344, 728, 374, 758, 341, 725)(298, 682, 348, 732, 376, 760, 352, 736)(309, 693, 356, 740, 381, 765, 360, 744)(323, 707, 367, 751, 375, 759, 346, 730)(336, 720, 368, 752, 377, 761, 365, 749)(337, 721, 370, 754, 378, 762, 364, 748)(338, 722, 371, 755, 379, 763, 363, 747)(339, 723, 372, 756, 380, 764, 362, 746)(373, 757, 382, 766, 384, 768, 383, 767)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 775)(3, 778)(4, 780)(5, 769)(6, 783)(7, 785)(8, 770)(9, 772)(10, 792)(11, 794)(12, 795)(13, 797)(14, 773)(15, 800)(16, 774)(17, 805)(18, 807)(19, 808)(20, 776)(21, 811)(22, 777)(23, 779)(24, 782)(25, 819)(26, 820)(27, 814)(28, 823)(29, 824)(30, 781)(31, 818)(32, 829)(33, 831)(34, 832)(35, 784)(36, 786)(37, 788)(38, 839)(39, 840)(40, 841)(41, 787)(42, 838)(43, 845)(44, 789)(45, 848)(46, 790)(47, 851)(48, 791)(49, 793)(50, 857)(51, 858)(52, 854)(53, 796)(54, 862)(55, 863)(56, 865)(57, 867)(58, 798)(59, 799)(60, 801)(61, 803)(62, 874)(63, 875)(64, 876)(65, 802)(66, 873)(67, 880)(68, 804)(69, 806)(70, 886)(71, 887)(72, 883)(73, 890)(74, 892)(75, 809)(76, 810)(77, 896)(78, 898)(79, 812)(80, 900)(81, 813)(82, 822)(83, 904)(84, 815)(85, 907)(86, 816)(87, 910)(88, 817)(89, 914)(90, 913)(91, 915)(92, 916)(93, 821)(94, 920)(95, 919)(96, 825)(97, 826)(98, 912)(99, 926)(100, 925)(101, 827)(102, 927)(103, 828)(104, 830)(105, 933)(106, 934)(107, 930)(108, 937)(109, 939)(110, 833)(111, 834)(112, 942)(113, 835)(114, 945)(115, 836)(116, 948)(117, 837)(118, 952)(119, 951)(120, 953)(121, 842)(122, 843)(123, 950)(124, 958)(125, 957)(126, 844)(127, 846)(128, 847)(129, 963)(130, 964)(131, 962)(132, 967)(133, 969)(134, 849)(135, 850)(136, 972)(137, 974)(138, 852)(139, 975)(140, 853)(141, 859)(142, 979)(143, 855)(144, 982)(145, 856)(146, 869)(147, 868)(148, 983)(149, 860)(150, 986)(151, 861)(152, 970)(153, 965)(154, 988)(155, 864)(156, 866)(157, 978)(158, 990)(159, 993)(160, 870)(161, 996)(162, 871)(163, 999)(164, 872)(165, 1003)(166, 1002)(167, 1004)(168, 877)(169, 878)(170, 1001)(171, 1009)(172, 1008)(173, 879)(174, 1011)(175, 1013)(176, 881)(177, 1014)(178, 882)(179, 888)(180, 1018)(181, 884)(182, 1021)(183, 885)(184, 894)(185, 893)(186, 1022)(187, 889)(188, 891)(189, 1017)(190, 1024)(191, 1027)(192, 895)(193, 897)(194, 1033)(195, 1034)(196, 1030)(197, 899)(198, 901)(199, 902)(200, 918)(201, 1038)(202, 903)(203, 905)(204, 906)(205, 1042)(206, 1043)(207, 1045)(208, 1046)(209, 908)(210, 909)(211, 1048)(212, 922)(213, 911)(214, 1049)(215, 1051)(216, 1035)(217, 917)(218, 1053)(219, 921)(220, 1055)(221, 1057)(222, 923)(223, 1058)(224, 924)(225, 1060)(226, 1062)(227, 928)(228, 1063)(229, 929)(230, 935)(231, 1067)(232, 931)(233, 1070)(234, 932)(235, 941)(236, 940)(237, 1071)(238, 936)(239, 938)(240, 1066)(241, 1073)(242, 943)(243, 944)(244, 1079)(245, 1080)(246, 1082)(247, 1083)(248, 946)(249, 947)(250, 1085)(251, 954)(252, 949)(253, 1086)(254, 1087)(255, 1089)(256, 955)(257, 1090)(258, 956)(259, 1091)(260, 959)(261, 1094)(262, 960)(263, 1096)(264, 961)(265, 987)(266, 1098)(267, 1099)(268, 966)(269, 968)(270, 1100)(271, 1102)(272, 971)(273, 973)(274, 991)(275, 1104)(276, 976)(277, 977)(278, 989)(279, 980)(280, 981)(281, 992)(282, 984)(283, 985)(284, 1097)(285, 1101)(286, 1095)(287, 1107)(288, 1103)(289, 1106)(290, 1105)(291, 994)(292, 995)(293, 1116)(294, 1117)(295, 1119)(296, 1120)(297, 997)(298, 998)(299, 1122)(300, 1005)(301, 1000)(302, 1123)(303, 1124)(304, 1126)(305, 1006)(306, 1127)(307, 1007)(308, 1128)(309, 1010)(310, 1012)(311, 1025)(312, 1130)(313, 1015)(314, 1016)(315, 1023)(316, 1019)(317, 1020)(318, 1026)(319, 1133)(320, 1129)(321, 1132)(322, 1131)(323, 1136)(324, 1137)(325, 1028)(326, 1138)(327, 1029)(328, 1139)(329, 1031)(330, 1032)(331, 1140)(332, 1036)(333, 1037)(334, 1141)(335, 1039)(336, 1040)(337, 1041)(338, 1044)(339, 1047)(340, 1142)(341, 1050)(342, 1052)(343, 1054)(344, 1056)(345, 1143)(346, 1059)(347, 1061)(348, 1074)(349, 1145)(350, 1064)(351, 1065)(352, 1072)(353, 1068)(354, 1069)(355, 1075)(356, 1148)(357, 1144)(358, 1147)(359, 1146)(360, 1150)(361, 1076)(362, 1077)(363, 1078)(364, 1081)(365, 1084)(366, 1088)(367, 1092)(368, 1093)(369, 1108)(370, 1111)(371, 1110)(372, 1109)(373, 1112)(374, 1151)(375, 1152)(376, 1113)(377, 1114)(378, 1115)(379, 1118)(380, 1121)(381, 1125)(382, 1134)(383, 1135)(384, 1149)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2340
Graph:: simple bipartite
	v = 480 e = 768 f = 256
	degree seq :: [ 2^384, 8^96 ]

E17.2342 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 * T2 * T1^2, T1^2 * T2 * T1^-3 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2, (T2 * T1^2 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 111, 68, 39)(22, 40, 69, 115, 72, 41)(27, 49, 83, 124, 75, 43)(30, 52, 89, 147, 92, 53)(34, 59, 100, 164, 102, 60)(36, 63, 106, 174, 108, 64)(44, 76, 125, 192, 117, 70)(47, 79, 131, 215, 134, 80)(50, 85, 140, 229, 142, 86)(51, 87, 143, 188, 146, 88)(55, 95, 155, 191, 149, 90)(58, 98, 161, 194, 163, 99)(62, 104, 170, 257, 173, 105)(65, 109, 178, 252, 180, 110)(67, 71, 118, 193, 185, 113)(74, 121, 199, 278, 202, 122)(77, 127, 208, 287, 210, 128)(78, 129, 211, 181, 214, 130)(81, 135, 220, 184, 217, 132)(84, 138, 226, 175, 228, 139)(91, 150, 239, 283, 204, 144)(94, 153, 207, 126, 206, 154)(96, 157, 245, 317, 246, 158)(97, 159, 247, 289, 209, 160)(101, 145, 233, 305, 253, 166)(103, 168, 198, 120, 197, 169)(107, 176, 200, 123, 203, 171)(112, 182, 263, 334, 264, 183)(114, 186, 266, 330, 268, 187)(116, 189, 269, 338, 271, 190)(119, 195, 274, 344, 276, 196)(133, 218, 294, 342, 272, 212)(136, 222, 172, 235, 297, 223)(137, 224, 298, 346, 275, 225)(141, 213, 152, 241, 302, 231)(148, 236, 306, 356, 290, 237)(151, 240, 311, 341, 281, 219)(156, 243, 314, 249, 316, 244)(162, 250, 307, 238, 309, 248)(165, 251, 321, 345, 288, 230)(167, 254, 323, 363, 325, 255)(177, 234, 270, 340, 329, 260)(179, 256, 273, 343, 331, 261)(201, 280, 350, 335, 265, 277)(205, 284, 353, 336, 267, 285)(216, 291, 357, 320, 347, 292)(221, 295, 362, 300, 364, 296)(227, 301, 358, 293, 360, 299)(232, 303, 258, 326, 370, 304)(242, 313, 352, 282, 351, 312)(259, 327, 354, 286, 355, 328)(262, 332, 339, 315, 372, 333)(279, 348, 377, 367, 337, 349)(308, 366, 379, 374, 322, 365)(310, 359, 380, 375, 324, 368)(318, 369, 319, 361, 378, 373)(371, 381, 384, 383, 376, 382)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 148)(92, 151)(93, 152)(95, 156)(99, 162)(100, 165)(102, 167)(104, 171)(105, 172)(106, 175)(108, 177)(109, 179)(110, 153)(111, 181)(113, 184)(115, 188)(117, 191)(118, 194)(121, 200)(122, 201)(124, 204)(125, 205)(127, 209)(128, 206)(129, 212)(130, 213)(131, 216)(134, 219)(135, 221)(139, 227)(140, 230)(142, 232)(143, 225)(146, 234)(147, 235)(149, 238)(150, 215)(154, 242)(155, 189)(157, 214)(158, 243)(159, 248)(160, 198)(161, 249)(163, 196)(164, 231)(166, 252)(168, 222)(169, 256)(170, 258)(173, 240)(174, 233)(176, 259)(178, 251)(180, 262)(182, 220)(183, 245)(185, 265)(186, 267)(187, 228)(190, 270)(192, 272)(193, 273)(195, 275)(197, 277)(199, 279)(202, 281)(203, 282)(207, 286)(208, 288)(210, 290)(211, 285)(217, 293)(218, 278)(223, 295)(224, 299)(226, 300)(229, 289)(236, 307)(237, 308)(239, 310)(241, 312)(244, 315)(246, 318)(247, 319)(250, 320)(253, 322)(254, 324)(255, 316)(257, 317)(260, 327)(261, 330)(263, 323)(264, 311)(266, 321)(268, 337)(269, 339)(271, 341)(274, 345)(276, 347)(280, 338)(283, 351)(284, 354)(287, 346)(291, 358)(292, 359)(294, 361)(296, 363)(297, 365)(298, 366)(301, 367)(302, 368)(303, 369)(304, 364)(305, 362)(306, 371)(309, 342)(313, 356)(314, 343)(325, 376)(326, 352)(328, 348)(329, 375)(331, 373)(332, 374)(333, 355)(334, 340)(335, 360)(336, 344)(349, 378)(350, 379)(353, 380)(357, 381)(370, 382)(372, 383)(377, 384)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2343
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.2343 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^6, T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2, (T2 * T1 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1)^2, T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1^-2 * T2 * T1^-1 * T2 * T1^-2, T2 * T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 79, 49)(30, 50, 82, 51)(32, 53, 86, 54)(33, 55, 89, 56)(34, 57, 92, 58)(42, 69, 110, 70)(43, 71, 112, 72)(45, 74, 117, 75)(46, 76, 96, 60)(47, 77, 121, 78)(52, 84, 131, 85)(61, 97, 150, 98)(63, 100, 155, 101)(64, 102, 135, 87)(66, 104, 161, 105)(67, 106, 164, 107)(68, 108, 167, 109)(73, 115, 177, 116)(80, 91, 141, 125)(81, 126, 194, 127)(83, 129, 199, 130)(88, 136, 210, 137)(90, 139, 215, 140)(93, 143, 221, 144)(94, 145, 224, 146)(95, 147, 227, 148)(99, 153, 236, 154)(103, 159, 245, 160)(111, 171, 212, 172)(113, 174, 259, 175)(114, 176, 209, 162)(118, 166, 218, 181)(119, 182, 267, 183)(120, 184, 216, 185)(122, 187, 271, 188)(123, 189, 272, 190)(124, 191, 274, 192)(128, 197, 268, 198)(132, 203, 282, 204)(133, 205, 284, 206)(134, 207, 286, 208)(138, 213, 292, 214)(142, 219, 298, 220)(149, 230, 196, 231)(151, 233, 307, 234)(152, 235, 193, 222)(156, 226, 170, 240)(157, 241, 313, 242)(158, 243, 200, 244)(163, 248, 306, 232)(165, 250, 320, 251)(168, 253, 294, 254)(169, 255, 288, 229)(173, 257, 326, 258)(178, 262, 293, 237)(179, 263, 287, 264)(180, 265, 302, 225)(186, 260, 329, 270)(195, 252, 322, 277)(201, 246, 316, 279)(202, 280, 337, 281)(211, 290, 343, 291)(217, 296, 345, 297)(223, 300, 342, 289)(228, 303, 278, 304)(238, 309, 275, 310)(239, 311, 341, 285)(247, 317, 338, 301)(249, 319, 340, 299)(256, 325, 266, 323)(261, 330, 269, 331)(273, 295, 344, 335)(276, 283, 339, 336)(305, 351, 312, 349)(308, 354, 314, 355)(315, 346, 369, 359)(318, 348, 375, 361)(321, 358, 373, 363)(324, 357, 377, 352)(327, 356, 333, 365)(328, 347, 371, 360)(332, 362, 379, 367)(334, 353, 370, 368)(350, 374, 382, 372)(364, 380, 366, 381)(376, 383, 378, 384)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 73)(48, 80)(49, 81)(50, 83)(51, 69)(53, 87)(54, 88)(55, 90)(56, 91)(57, 93)(58, 94)(59, 95)(62, 99)(65, 103)(70, 111)(71, 113)(72, 114)(74, 118)(75, 119)(76, 120)(77, 122)(78, 123)(79, 124)(82, 128)(84, 132)(85, 133)(86, 134)(89, 138)(92, 142)(96, 149)(97, 151)(98, 152)(100, 156)(101, 157)(102, 158)(104, 162)(105, 163)(106, 165)(107, 166)(108, 168)(109, 169)(110, 170)(112, 173)(115, 178)(116, 179)(117, 180)(121, 186)(125, 193)(126, 195)(127, 196)(129, 200)(130, 201)(131, 202)(135, 209)(136, 211)(137, 212)(139, 216)(140, 217)(141, 218)(143, 222)(144, 223)(145, 225)(146, 226)(147, 228)(148, 229)(150, 232)(153, 237)(154, 238)(155, 239)(159, 234)(160, 246)(161, 247)(164, 249)(167, 252)(171, 203)(172, 256)(174, 227)(175, 260)(176, 261)(177, 242)(181, 266)(182, 220)(183, 268)(184, 269)(185, 206)(187, 230)(188, 257)(189, 273)(190, 244)(191, 275)(192, 255)(194, 276)(197, 262)(198, 278)(199, 250)(204, 283)(205, 285)(207, 287)(208, 288)(210, 289)(213, 293)(214, 294)(215, 295)(219, 291)(221, 299)(224, 301)(231, 305)(233, 286)(235, 308)(236, 297)(240, 312)(241, 281)(243, 314)(245, 315)(248, 318)(251, 321)(253, 323)(254, 324)(258, 327)(259, 328)(263, 332)(264, 331)(265, 333)(267, 334)(270, 296)(271, 319)(272, 317)(274, 290)(277, 280)(279, 292)(282, 338)(284, 340)(298, 346)(300, 347)(302, 348)(303, 349)(304, 350)(306, 352)(307, 353)(309, 356)(310, 355)(311, 357)(313, 358)(316, 360)(320, 362)(322, 361)(325, 364)(326, 363)(329, 359)(330, 366)(335, 368)(336, 367)(337, 369)(339, 370)(341, 371)(342, 372)(343, 373)(344, 374)(345, 375)(351, 376)(354, 378)(365, 381)(377, 384)(379, 383)(380, 382)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2342
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2344 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2 * T1)^6, (T1 * T2)^6, (T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1)^2, T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2, T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 70, 43)(28, 47, 78, 48)(30, 50, 83, 51)(31, 52, 84, 53)(33, 55, 89, 56)(36, 60, 97, 61)(38, 63, 102, 64)(41, 67, 107, 68)(44, 72, 114, 73)(46, 75, 119, 76)(49, 80, 126, 81)(54, 86, 135, 87)(57, 91, 142, 92)(59, 94, 147, 95)(62, 99, 154, 100)(66, 104, 162, 105)(69, 109, 170, 110)(71, 112, 175, 113)(74, 116, 180, 117)(77, 120, 185, 121)(79, 123, 190, 124)(82, 128, 198, 129)(85, 132, 205, 133)(88, 137, 213, 138)(90, 140, 218, 141)(93, 144, 223, 145)(96, 148, 228, 149)(98, 151, 233, 152)(101, 156, 241, 157)(103, 159, 212, 160)(106, 164, 249, 165)(108, 167, 252, 168)(111, 172, 255, 173)(115, 177, 262, 178)(118, 182, 266, 183)(122, 187, 271, 188)(125, 192, 274, 193)(127, 195, 277, 196)(130, 200, 234, 201)(131, 202, 169, 203)(134, 207, 284, 208)(136, 210, 287, 211)(139, 215, 290, 216)(143, 220, 297, 221)(146, 225, 301, 226)(150, 230, 306, 231)(153, 235, 309, 236)(155, 238, 312, 239)(158, 243, 191, 244)(161, 246, 298, 222)(163, 247, 186, 248)(166, 251, 307, 232)(171, 254, 310, 237)(174, 257, 197, 258)(176, 259, 317, 260)(179, 204, 281, 263)(181, 265, 313, 242)(184, 268, 334, 269)(189, 209, 286, 272)(194, 214, 289, 275)(199, 224, 300, 278)(206, 282, 229, 283)(217, 292, 240, 293)(219, 294, 339, 295)(227, 303, 356, 304)(245, 315, 279, 316)(250, 319, 362, 320)(253, 322, 364, 323)(256, 326, 270, 327)(261, 329, 363, 321)(264, 331, 365, 324)(267, 333, 366, 325)(273, 330, 367, 335)(276, 332, 368, 336)(280, 337, 314, 338)(285, 341, 372, 342)(288, 344, 374, 345)(291, 348, 305, 349)(296, 351, 373, 343)(299, 353, 375, 346)(302, 355, 376, 347)(308, 352, 377, 357)(311, 354, 378, 358)(318, 360, 328, 361)(340, 370, 350, 371)(359, 379, 384, 380)(369, 382, 381, 383)(385, 386)(387, 391)(388, 393)(389, 394)(390, 396)(392, 399)(395, 404)(397, 407)(398, 409)(400, 412)(401, 414)(402, 415)(403, 417)(405, 420)(406, 422)(408, 425)(410, 428)(411, 430)(413, 433)(416, 438)(418, 441)(419, 443)(421, 446)(423, 448)(424, 450)(426, 453)(427, 455)(429, 458)(431, 461)(432, 463)(434, 466)(435, 436)(437, 469)(439, 472)(440, 474)(442, 477)(444, 480)(445, 482)(447, 485)(449, 487)(451, 490)(452, 492)(454, 495)(456, 497)(457, 499)(459, 502)(460, 504)(462, 506)(464, 509)(465, 511)(467, 514)(468, 515)(470, 518)(471, 520)(473, 523)(475, 525)(476, 527)(478, 530)(479, 532)(481, 534)(483, 537)(484, 539)(486, 542)(488, 545)(489, 547)(491, 550)(493, 553)(494, 555)(496, 558)(498, 560)(500, 563)(501, 565)(503, 568)(505, 570)(507, 573)(508, 575)(510, 578)(512, 581)(513, 583)(516, 588)(517, 590)(519, 593)(521, 596)(522, 598)(524, 601)(526, 603)(528, 606)(529, 608)(531, 611)(533, 613)(535, 616)(536, 618)(538, 621)(540, 624)(541, 626)(543, 629)(544, 595)(546, 605)(548, 632)(549, 634)(551, 615)(552, 587)(554, 637)(556, 620)(557, 640)(559, 602)(561, 645)(562, 589)(564, 648)(566, 625)(567, 651)(569, 612)(571, 654)(572, 594)(574, 657)(576, 627)(577, 599)(579, 660)(580, 642)(582, 609)(584, 619)(585, 663)(586, 664)(591, 667)(592, 669)(597, 672)(600, 675)(604, 680)(607, 683)(610, 686)(614, 689)(617, 692)(622, 695)(623, 677)(628, 698)(630, 701)(631, 702)(633, 688)(635, 705)(636, 679)(638, 708)(639, 709)(641, 712)(643, 696)(644, 671)(646, 704)(647, 714)(649, 707)(650, 716)(652, 693)(653, 668)(655, 713)(656, 715)(658, 687)(659, 717)(661, 678)(662, 718)(665, 723)(666, 724)(670, 727)(673, 730)(674, 731)(676, 734)(681, 726)(682, 736)(684, 729)(685, 738)(690, 735)(691, 737)(694, 739)(697, 740)(699, 721)(700, 743)(703, 728)(706, 725)(710, 732)(711, 745)(719, 742)(720, 741)(722, 753)(733, 755)(744, 765)(746, 764)(747, 760)(748, 758)(749, 759)(750, 757)(751, 761)(752, 763)(754, 768)(756, 767)(762, 766)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2348
Transitivity :: ET+
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2345 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^4, T2^6, T2^6, (T2 * T1^-1 * T2)^4, T2^-1 * T1 * T2^2 * T1^2 * T2^-3 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1)^2, T1^-1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-1 * T1 * T2^-3 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 63, 35, 16)(11, 26, 52, 91, 48, 23)(13, 29, 57, 106, 60, 30)(18, 39, 74, 129, 70, 36)(19, 40, 76, 139, 79, 41)(21, 43, 81, 148, 84, 44)(25, 51, 95, 169, 93, 49)(28, 56, 103, 182, 101, 54)(31, 50, 94, 170, 113, 61)(33, 65, 119, 204, 115, 62)(34, 66, 121, 214, 124, 67)(38, 73, 133, 232, 131, 71)(42, 72, 132, 233, 146, 80)(45, 85, 154, 265, 157, 86)(47, 88, 159, 269, 162, 89)(53, 99, 177, 283, 175, 97)(55, 102, 183, 268, 158, 87)(58, 108, 193, 248, 189, 105)(59, 109, 195, 242, 198, 110)(64, 118, 208, 307, 206, 116)(68, 117, 207, 308, 221, 125)(69, 126, 222, 161, 225, 127)(75, 137, 240, 160, 238, 135)(77, 141, 247, 320, 243, 138)(78, 142, 249, 316, 252, 143)(82, 150, 258, 194, 256, 147)(83, 151, 260, 188, 263, 152)(90, 163, 272, 355, 274, 164)(92, 166, 211, 313, 219, 167)(96, 173, 278, 359, 277, 172)(98, 176, 111, 191, 205, 165)(100, 179, 286, 304, 271, 180)(104, 187, 291, 303, 290, 185)(107, 192, 294, 365, 293, 190)(112, 199, 299, 342, 301, 200)(114, 201, 302, 224, 305, 202)(120, 212, 314, 223, 312, 210)(122, 216, 319, 259, 317, 213)(123, 217, 321, 255, 324, 218)(128, 226, 327, 377, 329, 227)(130, 229, 186, 264, 153, 230)(134, 236, 333, 273, 332, 235)(136, 239, 144, 245, 155, 228)(140, 246, 341, 383, 340, 244)(145, 253, 346, 373, 348, 254)(149, 257, 349, 379, 331, 234)(156, 266, 352, 295, 353, 267)(168, 275, 356, 368, 306, 203)(171, 215, 318, 372, 357, 276)(174, 280, 361, 374, 322, 281)(178, 287, 323, 300, 362, 285)(181, 231, 330, 378, 358, 282)(184, 270, 354, 367, 363, 288)(196, 284, 311, 371, 366, 296)(197, 297, 360, 279, 315, 298)(209, 310, 370, 328, 369, 309)(220, 325, 375, 350, 376, 326)(237, 335, 381, 351, 261, 336)(241, 339, 262, 347, 382, 338)(250, 337, 289, 364, 384, 343)(251, 344, 380, 334, 292, 345)(385, 386, 390, 388)(387, 393, 405, 395)(389, 397, 402, 391)(392, 403, 417, 399)(394, 407, 431, 409)(396, 400, 418, 412)(398, 415, 442, 413)(401, 420, 453, 422)(404, 426, 461, 424)(406, 429, 466, 427)(408, 433, 476, 434)(410, 428, 467, 437)(411, 438, 484, 439)(414, 443, 459, 423)(416, 446, 498, 448)(419, 452, 506, 450)(421, 455, 514, 456)(425, 462, 504, 449)(430, 471, 539, 469)(432, 474, 544, 472)(435, 473, 545, 480)(436, 481, 558, 482)(440, 451, 507, 488)(441, 489, 572, 491)(444, 495, 580, 493)(445, 496, 578, 492)(447, 500, 589, 501)(454, 512, 607, 510)(457, 511, 608, 518)(458, 519, 621, 520)(460, 522, 626, 524)(463, 528, 634, 526)(464, 529, 632, 525)(465, 531, 639, 533)(468, 537, 645, 535)(470, 540, 643, 534)(475, 549, 590, 547)(477, 552, 588, 550)(478, 551, 598, 555)(479, 556, 637, 530)(483, 536, 646, 562)(485, 565, 667, 563)(486, 564, 653, 568)(487, 569, 673, 570)(490, 574, 591, 575)(494, 581, 625, 521)(497, 567, 672, 583)(499, 587, 687, 585)(502, 586, 688, 593)(503, 594, 695, 595)(505, 597, 700, 599)(508, 603, 706, 601)(509, 604, 704, 600)(513, 612, 542, 610)(515, 615, 566, 613)(516, 614, 532, 618)(517, 619, 709, 605)(523, 628, 538, 629)(527, 635, 699, 596)(541, 592, 693, 650)(543, 624, 722, 654)(546, 655, 689, 609)(548, 657, 719, 622)(553, 617, 715, 659)(554, 660, 711, 652)(557, 606, 698, 663)(559, 666, 743, 664)(560, 665, 697, 668)(561, 669, 694, 670)(571, 602, 707, 676)(573, 638, 731, 647)(576, 644, 735, 679)(577, 642, 703, 631)(579, 680, 726, 630)(582, 627, 710, 681)(584, 684, 708, 640)(611, 712, 755, 696)(616, 692, 677, 714)(620, 686, 675, 718)(623, 720, 648, 721)(633, 727, 757, 702)(636, 701, 651, 728)(641, 705, 758, 734)(649, 724, 656, 691)(658, 733, 759, 716)(661, 742, 756, 730)(662, 744, 760, 745)(671, 723, 682, 729)(674, 690, 751, 748)(678, 736, 753, 713)(683, 747, 752, 725)(685, 750, 754, 746)(717, 764, 737, 765)(732, 768, 738, 766)(739, 767, 740, 763)(741, 762, 749, 761)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2349
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2346 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^-3)^4, (T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 96)(57, 97)(59, 101)(60, 98)(61, 103)(64, 107)(66, 112)(68, 114)(69, 116)(72, 119)(73, 120)(75, 123)(76, 126)(79, 132)(80, 133)(82, 136)(83, 137)(85, 141)(86, 138)(87, 144)(88, 145)(89, 148)(92, 151)(93, 152)(95, 156)(99, 162)(100, 165)(102, 167)(104, 171)(105, 172)(106, 175)(108, 177)(109, 179)(110, 153)(111, 181)(113, 184)(115, 188)(117, 191)(118, 194)(121, 200)(122, 201)(124, 204)(125, 205)(127, 209)(128, 206)(129, 212)(130, 213)(131, 216)(134, 219)(135, 221)(139, 227)(140, 230)(142, 232)(143, 225)(146, 234)(147, 235)(149, 238)(150, 215)(154, 242)(155, 189)(157, 214)(158, 243)(159, 248)(160, 198)(161, 249)(163, 196)(164, 231)(166, 252)(168, 222)(169, 256)(170, 258)(173, 240)(174, 233)(176, 259)(178, 251)(180, 262)(182, 220)(183, 245)(185, 265)(186, 267)(187, 228)(190, 270)(192, 272)(193, 273)(195, 275)(197, 277)(199, 279)(202, 281)(203, 282)(207, 286)(208, 288)(210, 290)(211, 285)(217, 293)(218, 278)(223, 295)(224, 299)(226, 300)(229, 289)(236, 307)(237, 308)(239, 310)(241, 312)(244, 315)(246, 318)(247, 319)(250, 320)(253, 322)(254, 324)(255, 316)(257, 317)(260, 327)(261, 330)(263, 323)(264, 311)(266, 321)(268, 337)(269, 339)(271, 341)(274, 345)(276, 347)(280, 338)(283, 351)(284, 354)(287, 346)(291, 358)(292, 359)(294, 361)(296, 363)(297, 365)(298, 366)(301, 367)(302, 368)(303, 369)(304, 364)(305, 362)(306, 371)(309, 342)(313, 356)(314, 343)(325, 376)(326, 352)(328, 348)(329, 375)(331, 373)(332, 374)(333, 355)(334, 340)(335, 360)(336, 344)(349, 378)(350, 379)(353, 380)(357, 381)(370, 382)(372, 383)(377, 384)(385, 386, 389, 395, 394, 388)(387, 391, 399, 413, 402, 392)(390, 397, 409, 430, 412, 398)(393, 403, 419, 445, 421, 404)(396, 407, 426, 457, 429, 408)(400, 415, 438, 477, 440, 416)(401, 417, 441, 466, 432, 410)(405, 422, 450, 495, 452, 423)(406, 424, 453, 499, 456, 425)(411, 433, 467, 508, 459, 427)(414, 436, 473, 531, 476, 437)(418, 443, 484, 548, 486, 444)(420, 447, 490, 558, 492, 448)(428, 460, 509, 576, 501, 454)(431, 463, 515, 599, 518, 464)(434, 469, 524, 613, 526, 470)(435, 471, 527, 572, 530, 472)(439, 479, 539, 575, 533, 474)(442, 482, 545, 578, 547, 483)(446, 488, 554, 641, 557, 489)(449, 493, 562, 636, 564, 494)(451, 455, 502, 577, 569, 497)(458, 505, 583, 662, 586, 506)(461, 511, 592, 671, 594, 512)(462, 513, 595, 565, 598, 514)(465, 519, 604, 568, 601, 516)(468, 522, 610, 559, 612, 523)(475, 534, 623, 667, 588, 528)(478, 537, 591, 510, 590, 538)(480, 541, 629, 701, 630, 542)(481, 543, 631, 673, 593, 544)(485, 529, 617, 689, 637, 550)(487, 552, 582, 504, 581, 553)(491, 560, 584, 507, 587, 555)(496, 566, 647, 718, 648, 567)(498, 570, 650, 714, 652, 571)(500, 573, 653, 722, 655, 574)(503, 579, 658, 728, 660, 580)(517, 602, 678, 726, 656, 596)(520, 606, 556, 619, 681, 607)(521, 608, 682, 730, 659, 609)(525, 597, 536, 625, 686, 615)(532, 620, 690, 740, 674, 621)(535, 624, 695, 725, 665, 603)(540, 627, 698, 633, 700, 628)(546, 634, 691, 622, 693, 632)(549, 635, 705, 729, 672, 614)(551, 638, 707, 747, 709, 639)(561, 618, 654, 724, 713, 644)(563, 640, 657, 727, 715, 645)(585, 664, 734, 719, 649, 661)(589, 668, 737, 720, 651, 669)(600, 675, 741, 704, 731, 676)(605, 679, 746, 684, 748, 680)(611, 685, 742, 677, 744, 683)(616, 687, 642, 710, 754, 688)(626, 697, 736, 666, 735, 696)(643, 711, 738, 670, 739, 712)(646, 716, 723, 699, 756, 717)(663, 732, 761, 751, 721, 733)(692, 750, 763, 758, 706, 749)(694, 743, 764, 759, 708, 752)(702, 753, 703, 745, 762, 757)(755, 765, 768, 767, 760, 766)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2347
Transitivity :: ET+
Graph:: simple bipartite
	v = 256 e = 384 f = 96
	degree seq :: [ 2^192, 6^64 ]

E17.2347 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2 * T1)^6, (T1 * T2)^6, (T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2 * T1)^2, T1 * T2^-2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1 * T2^-1 * T1 * T2 * T1 * T2, T2^-1 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 385, 3, 387, 8, 392, 4, 388)(2, 386, 5, 389, 11, 395, 6, 390)(7, 391, 13, 397, 24, 408, 14, 398)(9, 393, 16, 400, 29, 413, 17, 401)(10, 394, 18, 402, 32, 416, 19, 403)(12, 396, 21, 405, 37, 421, 22, 406)(15, 399, 26, 410, 45, 429, 27, 411)(20, 404, 34, 418, 58, 442, 35, 419)(23, 407, 39, 423, 65, 449, 40, 424)(25, 409, 42, 426, 70, 454, 43, 427)(28, 412, 47, 431, 78, 462, 48, 432)(30, 414, 50, 434, 83, 467, 51, 435)(31, 415, 52, 436, 84, 468, 53, 437)(33, 417, 55, 439, 89, 473, 56, 440)(36, 420, 60, 444, 97, 481, 61, 445)(38, 422, 63, 447, 102, 486, 64, 448)(41, 425, 67, 451, 107, 491, 68, 452)(44, 428, 72, 456, 114, 498, 73, 457)(46, 430, 75, 459, 119, 503, 76, 460)(49, 433, 80, 464, 126, 510, 81, 465)(54, 438, 86, 470, 135, 519, 87, 471)(57, 441, 91, 475, 142, 526, 92, 476)(59, 443, 94, 478, 147, 531, 95, 479)(62, 446, 99, 483, 154, 538, 100, 484)(66, 450, 104, 488, 162, 546, 105, 489)(69, 453, 109, 493, 170, 554, 110, 494)(71, 455, 112, 496, 175, 559, 113, 497)(74, 458, 116, 500, 180, 564, 117, 501)(77, 461, 120, 504, 185, 569, 121, 505)(79, 463, 123, 507, 190, 574, 124, 508)(82, 466, 128, 512, 198, 582, 129, 513)(85, 469, 132, 516, 205, 589, 133, 517)(88, 472, 137, 521, 213, 597, 138, 522)(90, 474, 140, 524, 218, 602, 141, 525)(93, 477, 144, 528, 223, 607, 145, 529)(96, 480, 148, 532, 228, 612, 149, 533)(98, 482, 151, 535, 233, 617, 152, 536)(101, 485, 156, 540, 241, 625, 157, 541)(103, 487, 159, 543, 212, 596, 160, 544)(106, 490, 164, 548, 249, 633, 165, 549)(108, 492, 167, 551, 252, 636, 168, 552)(111, 495, 172, 556, 255, 639, 173, 557)(115, 499, 177, 561, 262, 646, 178, 562)(118, 502, 182, 566, 266, 650, 183, 567)(122, 506, 187, 571, 271, 655, 188, 572)(125, 509, 192, 576, 274, 658, 193, 577)(127, 511, 195, 579, 277, 661, 196, 580)(130, 514, 200, 584, 234, 618, 201, 585)(131, 515, 202, 586, 169, 553, 203, 587)(134, 518, 207, 591, 284, 668, 208, 592)(136, 520, 210, 594, 287, 671, 211, 595)(139, 523, 215, 599, 290, 674, 216, 600)(143, 527, 220, 604, 297, 681, 221, 605)(146, 530, 225, 609, 301, 685, 226, 610)(150, 534, 230, 614, 306, 690, 231, 615)(153, 537, 235, 619, 309, 693, 236, 620)(155, 539, 238, 622, 312, 696, 239, 623)(158, 542, 243, 627, 191, 575, 244, 628)(161, 545, 246, 630, 298, 682, 222, 606)(163, 547, 247, 631, 186, 570, 248, 632)(166, 550, 251, 635, 307, 691, 232, 616)(171, 555, 254, 638, 310, 694, 237, 621)(174, 558, 257, 641, 197, 581, 258, 642)(176, 560, 259, 643, 317, 701, 260, 644)(179, 563, 204, 588, 281, 665, 263, 647)(181, 565, 265, 649, 313, 697, 242, 626)(184, 568, 268, 652, 334, 718, 269, 653)(189, 573, 209, 593, 286, 670, 272, 656)(194, 578, 214, 598, 289, 673, 275, 659)(199, 583, 224, 608, 300, 684, 278, 662)(206, 590, 282, 666, 229, 613, 283, 667)(217, 601, 292, 676, 240, 624, 293, 677)(219, 603, 294, 678, 339, 723, 295, 679)(227, 611, 303, 687, 356, 740, 304, 688)(245, 629, 315, 699, 279, 663, 316, 700)(250, 634, 319, 703, 362, 746, 320, 704)(253, 637, 322, 706, 364, 748, 323, 707)(256, 640, 326, 710, 270, 654, 327, 711)(261, 645, 329, 713, 363, 747, 321, 705)(264, 648, 331, 715, 365, 749, 324, 708)(267, 651, 333, 717, 366, 750, 325, 709)(273, 657, 330, 714, 367, 751, 335, 719)(276, 660, 332, 716, 368, 752, 336, 720)(280, 664, 337, 721, 314, 698, 338, 722)(285, 669, 341, 725, 372, 756, 342, 726)(288, 672, 344, 728, 374, 758, 345, 729)(291, 675, 348, 732, 305, 689, 349, 733)(296, 680, 351, 735, 373, 757, 343, 727)(299, 683, 353, 737, 375, 759, 346, 730)(302, 686, 355, 739, 376, 760, 347, 731)(308, 692, 352, 736, 377, 761, 357, 741)(311, 695, 354, 738, 378, 762, 358, 742)(318, 702, 360, 744, 328, 712, 361, 745)(340, 724, 370, 754, 350, 734, 371, 755)(359, 743, 379, 763, 384, 768, 380, 764)(369, 753, 382, 766, 381, 765, 383, 767)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 448)(40, 450)(41, 408)(42, 453)(43, 455)(44, 410)(45, 458)(46, 411)(47, 461)(48, 463)(49, 413)(50, 466)(51, 436)(52, 435)(53, 469)(54, 416)(55, 472)(56, 474)(57, 418)(58, 477)(59, 419)(60, 480)(61, 482)(62, 421)(63, 485)(64, 423)(65, 487)(66, 424)(67, 490)(68, 492)(69, 426)(70, 495)(71, 427)(72, 497)(73, 499)(74, 429)(75, 502)(76, 504)(77, 431)(78, 506)(79, 432)(80, 509)(81, 511)(82, 434)(83, 514)(84, 515)(85, 437)(86, 518)(87, 520)(88, 439)(89, 523)(90, 440)(91, 525)(92, 527)(93, 442)(94, 530)(95, 532)(96, 444)(97, 534)(98, 445)(99, 537)(100, 539)(101, 447)(102, 542)(103, 449)(104, 545)(105, 547)(106, 451)(107, 550)(108, 452)(109, 553)(110, 555)(111, 454)(112, 558)(113, 456)(114, 560)(115, 457)(116, 563)(117, 565)(118, 459)(119, 568)(120, 460)(121, 570)(122, 462)(123, 573)(124, 575)(125, 464)(126, 578)(127, 465)(128, 581)(129, 583)(130, 467)(131, 468)(132, 588)(133, 590)(134, 470)(135, 593)(136, 471)(137, 596)(138, 598)(139, 473)(140, 601)(141, 475)(142, 603)(143, 476)(144, 606)(145, 608)(146, 478)(147, 611)(148, 479)(149, 613)(150, 481)(151, 616)(152, 618)(153, 483)(154, 621)(155, 484)(156, 624)(157, 626)(158, 486)(159, 629)(160, 595)(161, 488)(162, 605)(163, 489)(164, 632)(165, 634)(166, 491)(167, 615)(168, 587)(169, 493)(170, 637)(171, 494)(172, 620)(173, 640)(174, 496)(175, 602)(176, 498)(177, 645)(178, 589)(179, 500)(180, 648)(181, 501)(182, 625)(183, 651)(184, 503)(185, 612)(186, 505)(187, 654)(188, 594)(189, 507)(190, 657)(191, 508)(192, 627)(193, 599)(194, 510)(195, 660)(196, 642)(197, 512)(198, 609)(199, 513)(200, 619)(201, 663)(202, 664)(203, 552)(204, 516)(205, 562)(206, 517)(207, 667)(208, 669)(209, 519)(210, 572)(211, 544)(212, 521)(213, 672)(214, 522)(215, 577)(216, 675)(217, 524)(218, 559)(219, 526)(220, 680)(221, 546)(222, 528)(223, 683)(224, 529)(225, 582)(226, 686)(227, 531)(228, 569)(229, 533)(230, 689)(231, 551)(232, 535)(233, 692)(234, 536)(235, 584)(236, 556)(237, 538)(238, 695)(239, 677)(240, 540)(241, 566)(242, 541)(243, 576)(244, 698)(245, 543)(246, 701)(247, 702)(248, 548)(249, 688)(250, 549)(251, 705)(252, 679)(253, 554)(254, 708)(255, 709)(256, 557)(257, 712)(258, 580)(259, 696)(260, 671)(261, 561)(262, 704)(263, 714)(264, 564)(265, 707)(266, 716)(267, 567)(268, 693)(269, 668)(270, 571)(271, 713)(272, 715)(273, 574)(274, 687)(275, 717)(276, 579)(277, 678)(278, 718)(279, 585)(280, 586)(281, 723)(282, 724)(283, 591)(284, 653)(285, 592)(286, 727)(287, 644)(288, 597)(289, 730)(290, 731)(291, 600)(292, 734)(293, 623)(294, 661)(295, 636)(296, 604)(297, 726)(298, 736)(299, 607)(300, 729)(301, 738)(302, 610)(303, 658)(304, 633)(305, 614)(306, 735)(307, 737)(308, 617)(309, 652)(310, 739)(311, 622)(312, 643)(313, 740)(314, 628)(315, 721)(316, 743)(317, 630)(318, 631)(319, 728)(320, 646)(321, 635)(322, 725)(323, 649)(324, 638)(325, 639)(326, 732)(327, 745)(328, 641)(329, 655)(330, 647)(331, 656)(332, 650)(333, 659)(334, 662)(335, 742)(336, 741)(337, 699)(338, 753)(339, 665)(340, 666)(341, 706)(342, 681)(343, 670)(344, 703)(345, 684)(346, 673)(347, 674)(348, 710)(349, 755)(350, 676)(351, 690)(352, 682)(353, 691)(354, 685)(355, 694)(356, 697)(357, 720)(358, 719)(359, 700)(360, 765)(361, 711)(362, 764)(363, 760)(364, 758)(365, 759)(366, 757)(367, 761)(368, 763)(369, 722)(370, 768)(371, 733)(372, 767)(373, 750)(374, 748)(375, 749)(376, 747)(377, 751)(378, 766)(379, 752)(380, 746)(381, 744)(382, 762)(383, 756)(384, 754)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2346
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 96 e = 384 f = 256
	degree seq :: [ 8^96 ]

E17.2348 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ F^2, (T2^-1 * T1^-1)^2, (F * T1)^2, (F * T2)^2, T1^4, T2^6, T2^6, (T2 * T1^-1 * T2)^4, T2^-1 * T1 * T2^2 * T1^2 * T2^-3 * T1^-1 * T2 * T1^-1 * T2 * T1, T2 * T1^-1 * T2^-1 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1, (T2 * T1^-1 * T2 * T1^-1 * T2^-2 * T1)^2, T1^-1 * T2^-1 * T1 * T2^-3 * T1^2 * T2^-1 * T1 * T2^-3 * T1^-1, T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2 * T1^-1 * T2^2 * T1^-1 * T2 * T1 * T2^-1 * T1 * T2^-1 * T1^-1 ]
Map::
	R = (1, 385, 3, 387, 10, 394, 24, 408, 14, 398, 5, 389)(2, 386, 7, 391, 17, 401, 37, 421, 20, 404, 8, 392)(4, 388, 12, 396, 27, 411, 46, 430, 22, 406, 9, 393)(6, 390, 15, 399, 32, 416, 63, 447, 35, 419, 16, 400)(11, 395, 26, 410, 52, 436, 91, 475, 48, 432, 23, 407)(13, 397, 29, 413, 57, 441, 106, 490, 60, 444, 30, 414)(18, 402, 39, 423, 74, 458, 129, 513, 70, 454, 36, 420)(19, 403, 40, 424, 76, 460, 139, 523, 79, 463, 41, 425)(21, 405, 43, 427, 81, 465, 148, 532, 84, 468, 44, 428)(25, 409, 51, 435, 95, 479, 169, 553, 93, 477, 49, 433)(28, 412, 56, 440, 103, 487, 182, 566, 101, 485, 54, 438)(31, 415, 50, 434, 94, 478, 170, 554, 113, 497, 61, 445)(33, 417, 65, 449, 119, 503, 204, 588, 115, 499, 62, 446)(34, 418, 66, 450, 121, 505, 214, 598, 124, 508, 67, 451)(38, 422, 73, 457, 133, 517, 232, 616, 131, 515, 71, 455)(42, 426, 72, 456, 132, 516, 233, 617, 146, 530, 80, 464)(45, 429, 85, 469, 154, 538, 265, 649, 157, 541, 86, 470)(47, 431, 88, 472, 159, 543, 269, 653, 162, 546, 89, 473)(53, 437, 99, 483, 177, 561, 283, 667, 175, 559, 97, 481)(55, 439, 102, 486, 183, 567, 268, 652, 158, 542, 87, 471)(58, 442, 108, 492, 193, 577, 248, 632, 189, 573, 105, 489)(59, 443, 109, 493, 195, 579, 242, 626, 198, 582, 110, 494)(64, 448, 118, 502, 208, 592, 307, 691, 206, 590, 116, 500)(68, 452, 117, 501, 207, 591, 308, 692, 221, 605, 125, 509)(69, 453, 126, 510, 222, 606, 161, 545, 225, 609, 127, 511)(75, 459, 137, 521, 240, 624, 160, 544, 238, 622, 135, 519)(77, 461, 141, 525, 247, 631, 320, 704, 243, 627, 138, 522)(78, 462, 142, 526, 249, 633, 316, 700, 252, 636, 143, 527)(82, 466, 150, 534, 258, 642, 194, 578, 256, 640, 147, 531)(83, 467, 151, 535, 260, 644, 188, 572, 263, 647, 152, 536)(90, 474, 163, 547, 272, 656, 355, 739, 274, 658, 164, 548)(92, 476, 166, 550, 211, 595, 313, 697, 219, 603, 167, 551)(96, 480, 173, 557, 278, 662, 359, 743, 277, 661, 172, 556)(98, 482, 176, 560, 111, 495, 191, 575, 205, 589, 165, 549)(100, 484, 179, 563, 286, 670, 304, 688, 271, 655, 180, 564)(104, 488, 187, 571, 291, 675, 303, 687, 290, 674, 185, 569)(107, 491, 192, 576, 294, 678, 365, 749, 293, 677, 190, 574)(112, 496, 199, 583, 299, 683, 342, 726, 301, 685, 200, 584)(114, 498, 201, 585, 302, 686, 224, 608, 305, 689, 202, 586)(120, 504, 212, 596, 314, 698, 223, 607, 312, 696, 210, 594)(122, 506, 216, 600, 319, 703, 259, 643, 317, 701, 213, 597)(123, 507, 217, 601, 321, 705, 255, 639, 324, 708, 218, 602)(128, 512, 226, 610, 327, 711, 377, 761, 329, 713, 227, 611)(130, 514, 229, 613, 186, 570, 264, 648, 153, 537, 230, 614)(134, 518, 236, 620, 333, 717, 273, 657, 332, 716, 235, 619)(136, 520, 239, 623, 144, 528, 245, 629, 155, 539, 228, 612)(140, 524, 246, 630, 341, 725, 383, 767, 340, 724, 244, 628)(145, 529, 253, 637, 346, 730, 373, 757, 348, 732, 254, 638)(149, 533, 257, 641, 349, 733, 379, 763, 331, 715, 234, 618)(156, 540, 266, 650, 352, 736, 295, 679, 353, 737, 267, 651)(168, 552, 275, 659, 356, 740, 368, 752, 306, 690, 203, 587)(171, 555, 215, 599, 318, 702, 372, 756, 357, 741, 276, 660)(174, 558, 280, 664, 361, 745, 374, 758, 322, 706, 281, 665)(178, 562, 287, 671, 323, 707, 300, 684, 362, 746, 285, 669)(181, 565, 231, 615, 330, 714, 378, 762, 358, 742, 282, 666)(184, 568, 270, 654, 354, 738, 367, 751, 363, 747, 288, 672)(196, 580, 284, 668, 311, 695, 371, 755, 366, 750, 296, 680)(197, 581, 297, 681, 360, 744, 279, 663, 315, 699, 298, 682)(209, 593, 310, 694, 370, 754, 328, 712, 369, 753, 309, 693)(220, 604, 325, 709, 375, 759, 350, 734, 376, 760, 326, 710)(237, 621, 335, 719, 381, 765, 351, 735, 261, 645, 336, 720)(241, 625, 339, 723, 262, 646, 347, 731, 382, 766, 338, 722)(250, 634, 337, 721, 289, 673, 364, 748, 384, 768, 343, 727)(251, 635, 344, 728, 380, 764, 334, 718, 292, 676, 345, 729)
	L = (1, 386)(2, 390)(3, 393)(4, 385)(5, 397)(6, 388)(7, 389)(8, 403)(9, 405)(10, 407)(11, 387)(12, 400)(13, 402)(14, 415)(15, 392)(16, 418)(17, 420)(18, 391)(19, 417)(20, 426)(21, 395)(22, 429)(23, 431)(24, 433)(25, 394)(26, 428)(27, 438)(28, 396)(29, 398)(30, 443)(31, 442)(32, 446)(33, 399)(34, 412)(35, 452)(36, 453)(37, 455)(38, 401)(39, 414)(40, 404)(41, 462)(42, 461)(43, 406)(44, 467)(45, 466)(46, 471)(47, 409)(48, 474)(49, 476)(50, 408)(51, 473)(52, 481)(53, 410)(54, 484)(55, 411)(56, 451)(57, 489)(58, 413)(59, 459)(60, 495)(61, 496)(62, 498)(63, 500)(64, 416)(65, 425)(66, 419)(67, 507)(68, 506)(69, 422)(70, 512)(71, 514)(72, 421)(73, 511)(74, 519)(75, 423)(76, 522)(77, 424)(78, 504)(79, 528)(80, 529)(81, 531)(82, 427)(83, 437)(84, 537)(85, 430)(86, 540)(87, 539)(88, 432)(89, 545)(90, 544)(91, 549)(92, 434)(93, 552)(94, 551)(95, 556)(96, 435)(97, 558)(98, 436)(99, 536)(100, 439)(101, 565)(102, 564)(103, 569)(104, 440)(105, 572)(106, 574)(107, 441)(108, 445)(109, 444)(110, 581)(111, 580)(112, 578)(113, 567)(114, 448)(115, 587)(116, 589)(117, 447)(118, 586)(119, 594)(120, 449)(121, 597)(122, 450)(123, 488)(124, 603)(125, 604)(126, 454)(127, 608)(128, 607)(129, 612)(130, 456)(131, 615)(132, 614)(133, 619)(134, 457)(135, 621)(136, 458)(137, 494)(138, 626)(139, 628)(140, 460)(141, 464)(142, 463)(143, 635)(144, 634)(145, 632)(146, 479)(147, 639)(148, 618)(149, 465)(150, 470)(151, 468)(152, 646)(153, 645)(154, 629)(155, 469)(156, 643)(157, 592)(158, 610)(159, 624)(160, 472)(161, 480)(162, 655)(163, 475)(164, 657)(165, 590)(166, 477)(167, 598)(168, 588)(169, 617)(170, 660)(171, 478)(172, 637)(173, 606)(174, 482)(175, 666)(176, 665)(177, 669)(178, 483)(179, 485)(180, 653)(181, 667)(182, 613)(183, 672)(184, 486)(185, 673)(186, 487)(187, 602)(188, 491)(189, 638)(190, 591)(191, 490)(192, 644)(193, 642)(194, 492)(195, 680)(196, 493)(197, 625)(198, 627)(199, 497)(200, 684)(201, 499)(202, 688)(203, 687)(204, 550)(205, 501)(206, 547)(207, 575)(208, 693)(209, 502)(210, 695)(211, 503)(212, 527)(213, 700)(214, 555)(215, 505)(216, 509)(217, 508)(218, 707)(219, 706)(220, 704)(221, 517)(222, 698)(223, 510)(224, 518)(225, 546)(226, 513)(227, 712)(228, 542)(229, 515)(230, 532)(231, 566)(232, 692)(233, 715)(234, 516)(235, 709)(236, 686)(237, 520)(238, 548)(239, 720)(240, 722)(241, 521)(242, 524)(243, 710)(244, 538)(245, 523)(246, 579)(247, 577)(248, 525)(249, 727)(250, 526)(251, 699)(252, 701)(253, 530)(254, 731)(255, 533)(256, 584)(257, 705)(258, 703)(259, 534)(260, 735)(261, 535)(262, 562)(263, 573)(264, 721)(265, 724)(266, 541)(267, 728)(268, 554)(269, 568)(270, 543)(271, 689)(272, 691)(273, 719)(274, 733)(275, 553)(276, 711)(277, 742)(278, 744)(279, 557)(280, 559)(281, 697)(282, 743)(283, 563)(284, 560)(285, 694)(286, 561)(287, 723)(288, 583)(289, 570)(290, 690)(291, 718)(292, 571)(293, 714)(294, 736)(295, 576)(296, 726)(297, 582)(298, 729)(299, 747)(300, 708)(301, 750)(302, 675)(303, 585)(304, 593)(305, 609)(306, 751)(307, 649)(308, 677)(309, 650)(310, 670)(311, 595)(312, 611)(313, 668)(314, 663)(315, 596)(316, 599)(317, 651)(318, 633)(319, 631)(320, 600)(321, 758)(322, 601)(323, 676)(324, 640)(325, 605)(326, 681)(327, 652)(328, 755)(329, 678)(330, 616)(331, 659)(332, 658)(333, 764)(334, 620)(335, 622)(336, 648)(337, 623)(338, 654)(339, 682)(340, 656)(341, 683)(342, 630)(343, 757)(344, 636)(345, 671)(346, 661)(347, 647)(348, 768)(349, 759)(350, 641)(351, 679)(352, 753)(353, 765)(354, 766)(355, 767)(356, 763)(357, 762)(358, 756)(359, 664)(360, 760)(361, 662)(362, 685)(363, 752)(364, 674)(365, 761)(366, 754)(367, 748)(368, 725)(369, 713)(370, 746)(371, 696)(372, 730)(373, 702)(374, 734)(375, 716)(376, 745)(377, 741)(378, 749)(379, 739)(380, 737)(381, 717)(382, 732)(383, 740)(384, 738)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2344
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 12^64 ]

E17.2349 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T1^-1 * T2)^4, T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-3 * T2 * T1 * T2 * T1^-1 * T2 * T1^2, (T2 * T1^-3)^4, (T1^-2 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1)^2, (T2 * T1^2 * T2 * T1^2 * T2 * T1^-2)^2 ]
Map:: polyhedral non-degenerate
	R = (1, 385, 3, 387)(2, 386, 6, 390)(4, 388, 9, 393)(5, 389, 12, 396)(7, 391, 16, 400)(8, 392, 17, 401)(10, 394, 21, 405)(11, 395, 22, 406)(13, 397, 26, 410)(14, 398, 27, 411)(15, 399, 30, 414)(18, 402, 34, 418)(19, 403, 36, 420)(20, 404, 31, 415)(23, 407, 43, 427)(24, 408, 44, 428)(25, 409, 47, 431)(28, 412, 50, 434)(29, 413, 51, 435)(32, 416, 55, 439)(33, 417, 58, 442)(35, 419, 62, 446)(37, 421, 65, 449)(38, 422, 67, 451)(39, 423, 63, 447)(40, 424, 70, 454)(41, 425, 71, 455)(42, 426, 74, 458)(45, 429, 77, 461)(46, 430, 78, 462)(48, 432, 81, 465)(49, 433, 84, 468)(52, 436, 90, 474)(53, 437, 91, 475)(54, 438, 94, 478)(56, 440, 96, 480)(57, 441, 97, 481)(59, 443, 101, 485)(60, 444, 98, 482)(61, 445, 103, 487)(64, 448, 107, 491)(66, 450, 112, 496)(68, 452, 114, 498)(69, 453, 116, 500)(72, 456, 119, 503)(73, 457, 120, 504)(75, 459, 123, 507)(76, 460, 126, 510)(79, 463, 132, 516)(80, 464, 133, 517)(82, 466, 136, 520)(83, 467, 137, 521)(85, 469, 141, 525)(86, 470, 138, 522)(87, 471, 144, 528)(88, 472, 145, 529)(89, 473, 148, 532)(92, 476, 151, 535)(93, 477, 152, 536)(95, 479, 156, 540)(99, 483, 162, 546)(100, 484, 165, 549)(102, 486, 167, 551)(104, 488, 171, 555)(105, 489, 172, 556)(106, 490, 175, 559)(108, 492, 177, 561)(109, 493, 179, 563)(110, 494, 153, 537)(111, 495, 181, 565)(113, 497, 184, 568)(115, 499, 188, 572)(117, 501, 191, 575)(118, 502, 194, 578)(121, 505, 200, 584)(122, 506, 201, 585)(124, 508, 204, 588)(125, 509, 205, 589)(127, 511, 209, 593)(128, 512, 206, 590)(129, 513, 212, 596)(130, 514, 213, 597)(131, 515, 216, 600)(134, 518, 219, 603)(135, 519, 221, 605)(139, 523, 227, 611)(140, 524, 230, 614)(142, 526, 232, 616)(143, 527, 225, 609)(146, 530, 234, 618)(147, 531, 235, 619)(149, 533, 238, 622)(150, 534, 215, 599)(154, 538, 242, 626)(155, 539, 189, 573)(157, 541, 214, 598)(158, 542, 243, 627)(159, 543, 248, 632)(160, 544, 198, 582)(161, 545, 249, 633)(163, 547, 196, 580)(164, 548, 231, 615)(166, 550, 252, 636)(168, 552, 222, 606)(169, 553, 256, 640)(170, 554, 258, 642)(173, 557, 240, 624)(174, 558, 233, 617)(176, 560, 259, 643)(178, 562, 251, 635)(180, 564, 262, 646)(182, 566, 220, 604)(183, 567, 245, 629)(185, 569, 265, 649)(186, 570, 267, 651)(187, 571, 228, 612)(190, 574, 270, 654)(192, 576, 272, 656)(193, 577, 273, 657)(195, 579, 275, 659)(197, 581, 277, 661)(199, 583, 279, 663)(202, 586, 281, 665)(203, 587, 282, 666)(207, 591, 286, 670)(208, 592, 288, 672)(210, 594, 290, 674)(211, 595, 285, 669)(217, 601, 293, 677)(218, 602, 278, 662)(223, 607, 295, 679)(224, 608, 299, 683)(226, 610, 300, 684)(229, 613, 289, 673)(236, 620, 307, 691)(237, 621, 308, 692)(239, 623, 310, 694)(241, 625, 312, 696)(244, 628, 315, 699)(246, 630, 318, 702)(247, 631, 319, 703)(250, 634, 320, 704)(253, 637, 322, 706)(254, 638, 324, 708)(255, 639, 316, 700)(257, 641, 317, 701)(260, 644, 327, 711)(261, 645, 330, 714)(263, 647, 323, 707)(264, 648, 311, 695)(266, 650, 321, 705)(268, 652, 337, 721)(269, 653, 339, 723)(271, 655, 341, 725)(274, 658, 345, 729)(276, 660, 347, 731)(280, 664, 338, 722)(283, 667, 351, 735)(284, 668, 354, 738)(287, 671, 346, 730)(291, 675, 358, 742)(292, 676, 359, 743)(294, 678, 361, 745)(296, 680, 363, 747)(297, 681, 365, 749)(298, 682, 366, 750)(301, 685, 367, 751)(302, 686, 368, 752)(303, 687, 369, 753)(304, 688, 364, 748)(305, 689, 362, 746)(306, 690, 371, 755)(309, 693, 342, 726)(313, 697, 356, 740)(314, 698, 343, 727)(325, 709, 376, 760)(326, 710, 352, 736)(328, 712, 348, 732)(329, 713, 375, 759)(331, 715, 373, 757)(332, 716, 374, 758)(333, 717, 355, 739)(334, 718, 340, 724)(335, 719, 360, 744)(336, 720, 344, 728)(349, 733, 378, 762)(350, 734, 379, 763)(353, 737, 380, 764)(357, 741, 381, 765)(370, 754, 382, 766)(372, 756, 383, 767)(377, 761, 384, 768)
	L = (1, 386)(2, 389)(3, 391)(4, 385)(5, 395)(6, 397)(7, 399)(8, 387)(9, 403)(10, 388)(11, 394)(12, 407)(13, 409)(14, 390)(15, 413)(16, 415)(17, 417)(18, 392)(19, 419)(20, 393)(21, 422)(22, 424)(23, 426)(24, 396)(25, 430)(26, 401)(27, 433)(28, 398)(29, 402)(30, 436)(31, 438)(32, 400)(33, 441)(34, 443)(35, 445)(36, 447)(37, 404)(38, 450)(39, 405)(40, 453)(41, 406)(42, 457)(43, 411)(44, 460)(45, 408)(46, 412)(47, 463)(48, 410)(49, 467)(50, 469)(51, 471)(52, 473)(53, 414)(54, 477)(55, 479)(56, 416)(57, 466)(58, 482)(59, 484)(60, 418)(61, 421)(62, 488)(63, 490)(64, 420)(65, 493)(66, 495)(67, 455)(68, 423)(69, 499)(70, 428)(71, 502)(72, 425)(73, 429)(74, 505)(75, 427)(76, 509)(77, 511)(78, 513)(79, 515)(80, 431)(81, 519)(82, 432)(83, 508)(84, 522)(85, 524)(86, 434)(87, 527)(88, 435)(89, 531)(90, 439)(91, 534)(92, 437)(93, 440)(94, 537)(95, 539)(96, 541)(97, 543)(98, 545)(99, 442)(100, 548)(101, 529)(102, 444)(103, 552)(104, 554)(105, 446)(106, 558)(107, 560)(108, 448)(109, 562)(110, 449)(111, 452)(112, 566)(113, 451)(114, 570)(115, 456)(116, 573)(117, 454)(118, 577)(119, 579)(120, 581)(121, 583)(122, 458)(123, 587)(124, 459)(125, 576)(126, 590)(127, 592)(128, 461)(129, 595)(130, 462)(131, 599)(132, 465)(133, 602)(134, 464)(135, 604)(136, 606)(137, 608)(138, 610)(139, 468)(140, 613)(141, 597)(142, 470)(143, 572)(144, 475)(145, 617)(146, 472)(147, 476)(148, 620)(149, 474)(150, 623)(151, 624)(152, 625)(153, 591)(154, 478)(155, 575)(156, 627)(157, 629)(158, 480)(159, 631)(160, 481)(161, 578)(162, 634)(163, 483)(164, 486)(165, 635)(166, 485)(167, 638)(168, 582)(169, 487)(170, 641)(171, 491)(172, 619)(173, 489)(174, 492)(175, 612)(176, 584)(177, 618)(178, 636)(179, 640)(180, 494)(181, 598)(182, 647)(183, 496)(184, 601)(185, 497)(186, 650)(187, 498)(188, 530)(189, 653)(190, 500)(191, 533)(192, 501)(193, 569)(194, 547)(195, 658)(196, 503)(197, 553)(198, 504)(199, 662)(200, 507)(201, 664)(202, 506)(203, 555)(204, 528)(205, 668)(206, 538)(207, 510)(208, 671)(209, 544)(210, 512)(211, 565)(212, 517)(213, 536)(214, 514)(215, 518)(216, 675)(217, 516)(218, 678)(219, 535)(220, 568)(221, 679)(222, 556)(223, 520)(224, 682)(225, 521)(226, 559)(227, 685)(228, 523)(229, 526)(230, 549)(231, 525)(232, 687)(233, 689)(234, 654)(235, 681)(236, 690)(237, 532)(238, 693)(239, 667)(240, 695)(241, 686)(242, 697)(243, 698)(244, 540)(245, 701)(246, 542)(247, 673)(248, 546)(249, 700)(250, 691)(251, 705)(252, 564)(253, 550)(254, 707)(255, 551)(256, 657)(257, 557)(258, 710)(259, 711)(260, 561)(261, 563)(262, 716)(263, 718)(264, 567)(265, 661)(266, 714)(267, 669)(268, 571)(269, 722)(270, 724)(271, 574)(272, 596)(273, 727)(274, 728)(275, 609)(276, 580)(277, 585)(278, 586)(279, 732)(280, 734)(281, 603)(282, 735)(283, 588)(284, 737)(285, 589)(286, 739)(287, 594)(288, 614)(289, 593)(290, 621)(291, 741)(292, 600)(293, 744)(294, 726)(295, 746)(296, 605)(297, 607)(298, 730)(299, 611)(300, 748)(301, 742)(302, 615)(303, 642)(304, 616)(305, 637)(306, 740)(307, 622)(308, 750)(309, 632)(310, 743)(311, 725)(312, 626)(313, 736)(314, 633)(315, 756)(316, 628)(317, 630)(318, 753)(319, 745)(320, 731)(321, 729)(322, 749)(323, 747)(324, 752)(325, 639)(326, 754)(327, 738)(328, 643)(329, 644)(330, 652)(331, 645)(332, 723)(333, 646)(334, 648)(335, 649)(336, 651)(337, 733)(338, 655)(339, 699)(340, 713)(341, 665)(342, 656)(343, 715)(344, 660)(345, 672)(346, 659)(347, 676)(348, 761)(349, 663)(350, 719)(351, 696)(352, 666)(353, 720)(354, 670)(355, 712)(356, 674)(357, 704)(358, 677)(359, 764)(360, 683)(361, 762)(362, 684)(363, 709)(364, 680)(365, 692)(366, 763)(367, 721)(368, 694)(369, 703)(370, 688)(371, 765)(372, 717)(373, 702)(374, 706)(375, 708)(376, 766)(377, 751)(378, 757)(379, 758)(380, 759)(381, 768)(382, 755)(383, 760)(384, 767)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2345
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2350 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^6, (Y1 * Y2)^6, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2 * Y1)^2, Y2^-1 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1 * Y1, Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2, Y2^-1 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-1 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 10, 394)(6, 390, 12, 396)(8, 392, 15, 399)(11, 395, 20, 404)(13, 397, 23, 407)(14, 398, 25, 409)(16, 400, 28, 412)(17, 401, 30, 414)(18, 402, 31, 415)(19, 403, 33, 417)(21, 405, 36, 420)(22, 406, 38, 422)(24, 408, 41, 425)(26, 410, 44, 428)(27, 411, 46, 430)(29, 413, 49, 433)(32, 416, 54, 438)(34, 418, 57, 441)(35, 419, 59, 443)(37, 421, 62, 446)(39, 423, 64, 448)(40, 424, 66, 450)(42, 426, 69, 453)(43, 427, 71, 455)(45, 429, 74, 458)(47, 431, 77, 461)(48, 432, 79, 463)(50, 434, 82, 466)(51, 435, 52, 436)(53, 437, 85, 469)(55, 439, 88, 472)(56, 440, 90, 474)(58, 442, 93, 477)(60, 444, 96, 480)(61, 445, 98, 482)(63, 447, 101, 485)(65, 449, 103, 487)(67, 451, 106, 490)(68, 452, 108, 492)(70, 454, 111, 495)(72, 456, 113, 497)(73, 457, 115, 499)(75, 459, 118, 502)(76, 460, 120, 504)(78, 462, 122, 506)(80, 464, 125, 509)(81, 465, 127, 511)(83, 467, 130, 514)(84, 468, 131, 515)(86, 470, 134, 518)(87, 471, 136, 520)(89, 473, 139, 523)(91, 475, 141, 525)(92, 476, 143, 527)(94, 478, 146, 530)(95, 479, 148, 532)(97, 481, 150, 534)(99, 483, 153, 537)(100, 484, 155, 539)(102, 486, 158, 542)(104, 488, 161, 545)(105, 489, 163, 547)(107, 491, 166, 550)(109, 493, 169, 553)(110, 494, 171, 555)(112, 496, 174, 558)(114, 498, 176, 560)(116, 500, 179, 563)(117, 501, 181, 565)(119, 503, 184, 568)(121, 505, 186, 570)(123, 507, 189, 573)(124, 508, 191, 575)(126, 510, 194, 578)(128, 512, 197, 581)(129, 513, 199, 583)(132, 516, 204, 588)(133, 517, 206, 590)(135, 519, 209, 593)(137, 521, 212, 596)(138, 522, 214, 598)(140, 524, 217, 601)(142, 526, 219, 603)(144, 528, 222, 606)(145, 529, 224, 608)(147, 531, 227, 611)(149, 533, 229, 613)(151, 535, 232, 616)(152, 536, 234, 618)(154, 538, 237, 621)(156, 540, 240, 624)(157, 541, 242, 626)(159, 543, 245, 629)(160, 544, 211, 595)(162, 546, 221, 605)(164, 548, 248, 632)(165, 549, 250, 634)(167, 551, 231, 615)(168, 552, 203, 587)(170, 554, 253, 637)(172, 556, 236, 620)(173, 557, 256, 640)(175, 559, 218, 602)(177, 561, 261, 645)(178, 562, 205, 589)(180, 564, 264, 648)(182, 566, 241, 625)(183, 567, 267, 651)(185, 569, 228, 612)(187, 571, 270, 654)(188, 572, 210, 594)(190, 574, 273, 657)(192, 576, 243, 627)(193, 577, 215, 599)(195, 579, 276, 660)(196, 580, 258, 642)(198, 582, 225, 609)(200, 584, 235, 619)(201, 585, 279, 663)(202, 586, 280, 664)(207, 591, 283, 667)(208, 592, 285, 669)(213, 597, 288, 672)(216, 600, 291, 675)(220, 604, 296, 680)(223, 607, 299, 683)(226, 610, 302, 686)(230, 614, 305, 689)(233, 617, 308, 692)(238, 622, 311, 695)(239, 623, 293, 677)(244, 628, 314, 698)(246, 630, 317, 701)(247, 631, 318, 702)(249, 633, 304, 688)(251, 635, 321, 705)(252, 636, 295, 679)(254, 638, 324, 708)(255, 639, 325, 709)(257, 641, 328, 712)(259, 643, 312, 696)(260, 644, 287, 671)(262, 646, 320, 704)(263, 647, 330, 714)(265, 649, 323, 707)(266, 650, 332, 716)(268, 652, 309, 693)(269, 653, 284, 668)(271, 655, 329, 713)(272, 656, 331, 715)(274, 658, 303, 687)(275, 659, 333, 717)(277, 661, 294, 678)(278, 662, 334, 718)(281, 665, 339, 723)(282, 666, 340, 724)(286, 670, 343, 727)(289, 673, 346, 730)(290, 674, 347, 731)(292, 676, 350, 734)(297, 681, 342, 726)(298, 682, 352, 736)(300, 684, 345, 729)(301, 685, 354, 738)(306, 690, 351, 735)(307, 691, 353, 737)(310, 694, 355, 739)(313, 697, 356, 740)(315, 699, 337, 721)(316, 700, 359, 743)(319, 703, 344, 728)(322, 706, 341, 725)(326, 710, 348, 732)(327, 711, 361, 745)(335, 719, 358, 742)(336, 720, 357, 741)(338, 722, 369, 753)(349, 733, 371, 755)(360, 744, 381, 765)(362, 746, 380, 764)(363, 747, 376, 760)(364, 748, 374, 758)(365, 749, 375, 759)(366, 750, 373, 757)(367, 751, 377, 761)(368, 752, 379, 763)(370, 754, 384, 768)(372, 756, 383, 767)(378, 762, 382, 766)(769, 1153, 771, 1155, 776, 1160, 772, 1156)(770, 1154, 773, 1157, 779, 1163, 774, 1158)(775, 1159, 781, 1165, 792, 1176, 782, 1166)(777, 1161, 784, 1168, 797, 1181, 785, 1169)(778, 1162, 786, 1170, 800, 1184, 787, 1171)(780, 1164, 789, 1173, 805, 1189, 790, 1174)(783, 1167, 794, 1178, 813, 1197, 795, 1179)(788, 1172, 802, 1186, 826, 1210, 803, 1187)(791, 1175, 807, 1191, 833, 1217, 808, 1192)(793, 1177, 810, 1194, 838, 1222, 811, 1195)(796, 1180, 815, 1199, 846, 1230, 816, 1200)(798, 1182, 818, 1202, 851, 1235, 819, 1203)(799, 1183, 820, 1204, 852, 1236, 821, 1205)(801, 1185, 823, 1207, 857, 1241, 824, 1208)(804, 1188, 828, 1212, 865, 1249, 829, 1213)(806, 1190, 831, 1215, 870, 1254, 832, 1216)(809, 1193, 835, 1219, 875, 1259, 836, 1220)(812, 1196, 840, 1224, 882, 1266, 841, 1225)(814, 1198, 843, 1227, 887, 1271, 844, 1228)(817, 1201, 848, 1232, 894, 1278, 849, 1233)(822, 1206, 854, 1238, 903, 1287, 855, 1239)(825, 1209, 859, 1243, 910, 1294, 860, 1244)(827, 1211, 862, 1246, 915, 1299, 863, 1247)(830, 1214, 867, 1251, 922, 1306, 868, 1252)(834, 1218, 872, 1256, 930, 1314, 873, 1257)(837, 1221, 877, 1261, 938, 1322, 878, 1262)(839, 1223, 880, 1264, 943, 1327, 881, 1265)(842, 1226, 884, 1268, 948, 1332, 885, 1269)(845, 1229, 888, 1272, 953, 1337, 889, 1273)(847, 1231, 891, 1275, 958, 1342, 892, 1276)(850, 1234, 896, 1280, 966, 1350, 897, 1281)(853, 1237, 900, 1284, 973, 1357, 901, 1285)(856, 1240, 905, 1289, 981, 1365, 906, 1290)(858, 1242, 908, 1292, 986, 1370, 909, 1293)(861, 1245, 912, 1296, 991, 1375, 913, 1297)(864, 1248, 916, 1300, 996, 1380, 917, 1301)(866, 1250, 919, 1303, 1001, 1385, 920, 1304)(869, 1253, 924, 1308, 1009, 1393, 925, 1309)(871, 1255, 927, 1311, 980, 1364, 928, 1312)(874, 1258, 932, 1316, 1017, 1401, 933, 1317)(876, 1260, 935, 1319, 1020, 1404, 936, 1320)(879, 1263, 940, 1324, 1023, 1407, 941, 1325)(883, 1267, 945, 1329, 1030, 1414, 946, 1330)(886, 1270, 950, 1334, 1034, 1418, 951, 1335)(890, 1274, 955, 1339, 1039, 1423, 956, 1340)(893, 1277, 960, 1344, 1042, 1426, 961, 1345)(895, 1279, 963, 1347, 1045, 1429, 964, 1348)(898, 1282, 968, 1352, 1002, 1386, 969, 1353)(899, 1283, 970, 1354, 937, 1321, 971, 1355)(902, 1286, 975, 1359, 1052, 1436, 976, 1360)(904, 1288, 978, 1362, 1055, 1439, 979, 1363)(907, 1291, 983, 1367, 1058, 1442, 984, 1368)(911, 1295, 988, 1372, 1065, 1449, 989, 1373)(914, 1298, 993, 1377, 1069, 1453, 994, 1378)(918, 1302, 998, 1382, 1074, 1458, 999, 1383)(921, 1305, 1003, 1387, 1077, 1461, 1004, 1388)(923, 1307, 1006, 1390, 1080, 1464, 1007, 1391)(926, 1310, 1011, 1395, 959, 1343, 1012, 1396)(929, 1313, 1014, 1398, 1066, 1450, 990, 1374)(931, 1315, 1015, 1399, 954, 1338, 1016, 1400)(934, 1318, 1019, 1403, 1075, 1459, 1000, 1384)(939, 1323, 1022, 1406, 1078, 1462, 1005, 1389)(942, 1326, 1025, 1409, 965, 1349, 1026, 1410)(944, 1328, 1027, 1411, 1085, 1469, 1028, 1412)(947, 1331, 972, 1356, 1049, 1433, 1031, 1415)(949, 1333, 1033, 1417, 1081, 1465, 1010, 1394)(952, 1336, 1036, 1420, 1102, 1486, 1037, 1421)(957, 1341, 977, 1361, 1054, 1438, 1040, 1424)(962, 1346, 982, 1366, 1057, 1441, 1043, 1427)(967, 1351, 992, 1376, 1068, 1452, 1046, 1430)(974, 1358, 1050, 1434, 997, 1381, 1051, 1435)(985, 1369, 1060, 1444, 1008, 1392, 1061, 1445)(987, 1371, 1062, 1446, 1107, 1491, 1063, 1447)(995, 1379, 1071, 1455, 1124, 1508, 1072, 1456)(1013, 1397, 1083, 1467, 1047, 1431, 1084, 1468)(1018, 1402, 1087, 1471, 1130, 1514, 1088, 1472)(1021, 1405, 1090, 1474, 1132, 1516, 1091, 1475)(1024, 1408, 1094, 1478, 1038, 1422, 1095, 1479)(1029, 1413, 1097, 1481, 1131, 1515, 1089, 1473)(1032, 1416, 1099, 1483, 1133, 1517, 1092, 1476)(1035, 1419, 1101, 1485, 1134, 1518, 1093, 1477)(1041, 1425, 1098, 1482, 1135, 1519, 1103, 1487)(1044, 1428, 1100, 1484, 1136, 1520, 1104, 1488)(1048, 1432, 1105, 1489, 1082, 1466, 1106, 1490)(1053, 1437, 1109, 1493, 1140, 1524, 1110, 1494)(1056, 1440, 1112, 1496, 1142, 1526, 1113, 1497)(1059, 1443, 1116, 1500, 1073, 1457, 1117, 1501)(1064, 1448, 1119, 1503, 1141, 1525, 1111, 1495)(1067, 1451, 1121, 1505, 1143, 1527, 1114, 1498)(1070, 1454, 1123, 1507, 1144, 1528, 1115, 1499)(1076, 1460, 1120, 1504, 1145, 1529, 1125, 1509)(1079, 1463, 1122, 1506, 1146, 1530, 1126, 1510)(1086, 1470, 1128, 1512, 1096, 1480, 1129, 1513)(1108, 1492, 1138, 1522, 1118, 1502, 1139, 1523)(1127, 1511, 1147, 1531, 1152, 1536, 1148, 1532)(1137, 1521, 1150, 1534, 1149, 1533, 1151, 1535)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 778)(6, 780)(7, 771)(8, 783)(9, 772)(10, 773)(11, 788)(12, 774)(13, 791)(14, 793)(15, 776)(16, 796)(17, 798)(18, 799)(19, 801)(20, 779)(21, 804)(22, 806)(23, 781)(24, 809)(25, 782)(26, 812)(27, 814)(28, 784)(29, 817)(30, 785)(31, 786)(32, 822)(33, 787)(34, 825)(35, 827)(36, 789)(37, 830)(38, 790)(39, 832)(40, 834)(41, 792)(42, 837)(43, 839)(44, 794)(45, 842)(46, 795)(47, 845)(48, 847)(49, 797)(50, 850)(51, 820)(52, 819)(53, 853)(54, 800)(55, 856)(56, 858)(57, 802)(58, 861)(59, 803)(60, 864)(61, 866)(62, 805)(63, 869)(64, 807)(65, 871)(66, 808)(67, 874)(68, 876)(69, 810)(70, 879)(71, 811)(72, 881)(73, 883)(74, 813)(75, 886)(76, 888)(77, 815)(78, 890)(79, 816)(80, 893)(81, 895)(82, 818)(83, 898)(84, 899)(85, 821)(86, 902)(87, 904)(88, 823)(89, 907)(90, 824)(91, 909)(92, 911)(93, 826)(94, 914)(95, 916)(96, 828)(97, 918)(98, 829)(99, 921)(100, 923)(101, 831)(102, 926)(103, 833)(104, 929)(105, 931)(106, 835)(107, 934)(108, 836)(109, 937)(110, 939)(111, 838)(112, 942)(113, 840)(114, 944)(115, 841)(116, 947)(117, 949)(118, 843)(119, 952)(120, 844)(121, 954)(122, 846)(123, 957)(124, 959)(125, 848)(126, 962)(127, 849)(128, 965)(129, 967)(130, 851)(131, 852)(132, 972)(133, 974)(134, 854)(135, 977)(136, 855)(137, 980)(138, 982)(139, 857)(140, 985)(141, 859)(142, 987)(143, 860)(144, 990)(145, 992)(146, 862)(147, 995)(148, 863)(149, 997)(150, 865)(151, 1000)(152, 1002)(153, 867)(154, 1005)(155, 868)(156, 1008)(157, 1010)(158, 870)(159, 1013)(160, 979)(161, 872)(162, 989)(163, 873)(164, 1016)(165, 1018)(166, 875)(167, 999)(168, 971)(169, 877)(170, 1021)(171, 878)(172, 1004)(173, 1024)(174, 880)(175, 986)(176, 882)(177, 1029)(178, 973)(179, 884)(180, 1032)(181, 885)(182, 1009)(183, 1035)(184, 887)(185, 996)(186, 889)(187, 1038)(188, 978)(189, 891)(190, 1041)(191, 892)(192, 1011)(193, 983)(194, 894)(195, 1044)(196, 1026)(197, 896)(198, 993)(199, 897)(200, 1003)(201, 1047)(202, 1048)(203, 936)(204, 900)(205, 946)(206, 901)(207, 1051)(208, 1053)(209, 903)(210, 956)(211, 928)(212, 905)(213, 1056)(214, 906)(215, 961)(216, 1059)(217, 908)(218, 943)(219, 910)(220, 1064)(221, 930)(222, 912)(223, 1067)(224, 913)(225, 966)(226, 1070)(227, 915)(228, 953)(229, 917)(230, 1073)(231, 935)(232, 919)(233, 1076)(234, 920)(235, 968)(236, 940)(237, 922)(238, 1079)(239, 1061)(240, 924)(241, 950)(242, 925)(243, 960)(244, 1082)(245, 927)(246, 1085)(247, 1086)(248, 932)(249, 1072)(250, 933)(251, 1089)(252, 1063)(253, 938)(254, 1092)(255, 1093)(256, 941)(257, 1096)(258, 964)(259, 1080)(260, 1055)(261, 945)(262, 1088)(263, 1098)(264, 948)(265, 1091)(266, 1100)(267, 951)(268, 1077)(269, 1052)(270, 955)(271, 1097)(272, 1099)(273, 958)(274, 1071)(275, 1101)(276, 963)(277, 1062)(278, 1102)(279, 969)(280, 970)(281, 1107)(282, 1108)(283, 975)(284, 1037)(285, 976)(286, 1111)(287, 1028)(288, 981)(289, 1114)(290, 1115)(291, 984)(292, 1118)(293, 1007)(294, 1045)(295, 1020)(296, 988)(297, 1110)(298, 1120)(299, 991)(300, 1113)(301, 1122)(302, 994)(303, 1042)(304, 1017)(305, 998)(306, 1119)(307, 1121)(308, 1001)(309, 1036)(310, 1123)(311, 1006)(312, 1027)(313, 1124)(314, 1012)(315, 1105)(316, 1127)(317, 1014)(318, 1015)(319, 1112)(320, 1030)(321, 1019)(322, 1109)(323, 1033)(324, 1022)(325, 1023)(326, 1116)(327, 1129)(328, 1025)(329, 1039)(330, 1031)(331, 1040)(332, 1034)(333, 1043)(334, 1046)(335, 1126)(336, 1125)(337, 1083)(338, 1137)(339, 1049)(340, 1050)(341, 1090)(342, 1065)(343, 1054)(344, 1087)(345, 1068)(346, 1057)(347, 1058)(348, 1094)(349, 1139)(350, 1060)(351, 1074)(352, 1066)(353, 1075)(354, 1069)(355, 1078)(356, 1081)(357, 1104)(358, 1103)(359, 1084)(360, 1149)(361, 1095)(362, 1148)(363, 1144)(364, 1142)(365, 1143)(366, 1141)(367, 1145)(368, 1147)(369, 1106)(370, 1152)(371, 1117)(372, 1151)(373, 1134)(374, 1132)(375, 1133)(376, 1131)(377, 1135)(378, 1150)(379, 1136)(380, 1130)(381, 1128)(382, 1146)(383, 1140)(384, 1138)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2353
Graph:: bipartite
	v = 288 e = 768 f = 448
	degree seq :: [ 4^192, 8^96 ]

E17.2351 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, (Y1 * Y2)^2, Y1^4, (R * Y1)^2, (R * Y3)^2, (Y3^-1 * Y1^-1)^2, Y2^6, Y1 * Y2 * Y1^-2 * Y2 * Y1 * Y2^2, (Y2 * Y1^-1 * Y2)^4, Y2 * Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^3 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^3 * Y1^-1, Y1^-1 * Y2^-2 * Y1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1^-1 ]
Map::
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 58, 442, 29, 413)(17, 401, 36, 420, 69, 453, 38, 422)(20, 404, 42, 426, 77, 461, 40, 424)(22, 406, 45, 429, 82, 466, 43, 427)(24, 408, 49, 433, 92, 476, 50, 434)(26, 410, 44, 428, 83, 467, 53, 437)(27, 411, 54, 438, 100, 484, 55, 439)(30, 414, 59, 443, 75, 459, 39, 423)(32, 416, 62, 446, 114, 498, 64, 448)(35, 419, 68, 452, 122, 506, 66, 450)(37, 421, 71, 455, 130, 514, 72, 456)(41, 425, 78, 462, 120, 504, 65, 449)(46, 430, 87, 471, 155, 539, 85, 469)(48, 432, 90, 474, 160, 544, 88, 472)(51, 435, 89, 473, 161, 545, 96, 480)(52, 436, 97, 481, 174, 558, 98, 482)(56, 440, 67, 451, 123, 507, 104, 488)(57, 441, 105, 489, 188, 572, 107, 491)(60, 444, 111, 495, 196, 580, 109, 493)(61, 445, 112, 496, 194, 578, 108, 492)(63, 447, 116, 500, 205, 589, 117, 501)(70, 454, 128, 512, 223, 607, 126, 510)(73, 457, 127, 511, 224, 608, 134, 518)(74, 458, 135, 519, 237, 621, 136, 520)(76, 460, 138, 522, 242, 626, 140, 524)(79, 463, 144, 528, 250, 634, 142, 526)(80, 464, 145, 529, 248, 632, 141, 525)(81, 465, 147, 531, 255, 639, 149, 533)(84, 468, 153, 537, 261, 645, 151, 535)(86, 470, 156, 540, 259, 643, 150, 534)(91, 475, 165, 549, 206, 590, 163, 547)(93, 477, 168, 552, 204, 588, 166, 550)(94, 478, 167, 551, 214, 598, 171, 555)(95, 479, 172, 556, 253, 637, 146, 530)(99, 483, 152, 536, 262, 646, 178, 562)(101, 485, 181, 565, 283, 667, 179, 563)(102, 486, 180, 564, 269, 653, 184, 568)(103, 487, 185, 569, 289, 673, 186, 570)(106, 490, 190, 574, 207, 591, 191, 575)(110, 494, 197, 581, 241, 625, 137, 521)(113, 497, 183, 567, 288, 672, 199, 583)(115, 499, 203, 587, 303, 687, 201, 585)(118, 502, 202, 586, 304, 688, 209, 593)(119, 503, 210, 594, 311, 695, 211, 595)(121, 505, 213, 597, 316, 700, 215, 599)(124, 508, 219, 603, 322, 706, 217, 601)(125, 509, 220, 604, 320, 704, 216, 600)(129, 513, 228, 612, 158, 542, 226, 610)(131, 515, 231, 615, 182, 566, 229, 613)(132, 516, 230, 614, 148, 532, 234, 618)(133, 517, 235, 619, 325, 709, 221, 605)(139, 523, 244, 628, 154, 538, 245, 629)(143, 527, 251, 635, 315, 699, 212, 596)(157, 541, 208, 592, 309, 693, 266, 650)(159, 543, 240, 624, 338, 722, 270, 654)(162, 546, 271, 655, 305, 689, 225, 609)(164, 548, 273, 657, 335, 719, 238, 622)(169, 553, 233, 617, 331, 715, 275, 659)(170, 554, 276, 660, 327, 711, 268, 652)(173, 557, 222, 606, 314, 698, 279, 663)(175, 559, 282, 666, 359, 743, 280, 664)(176, 560, 281, 665, 313, 697, 284, 668)(177, 561, 285, 669, 310, 694, 286, 670)(187, 571, 218, 602, 323, 707, 292, 676)(189, 573, 254, 638, 347, 731, 263, 647)(192, 576, 260, 644, 351, 735, 295, 679)(193, 577, 258, 642, 319, 703, 247, 631)(195, 579, 296, 680, 342, 726, 246, 630)(198, 582, 243, 627, 326, 710, 297, 681)(200, 584, 300, 684, 324, 708, 256, 640)(227, 611, 328, 712, 371, 755, 312, 696)(232, 616, 308, 692, 293, 677, 330, 714)(236, 620, 302, 686, 291, 675, 334, 718)(239, 623, 336, 720, 264, 648, 337, 721)(249, 633, 343, 727, 373, 757, 318, 702)(252, 636, 317, 701, 267, 651, 344, 728)(257, 641, 321, 705, 374, 758, 350, 734)(265, 649, 340, 724, 272, 656, 307, 691)(274, 658, 349, 733, 375, 759, 332, 716)(277, 661, 358, 742, 372, 756, 346, 730)(278, 662, 360, 744, 376, 760, 361, 745)(287, 671, 339, 723, 298, 682, 345, 729)(290, 674, 306, 690, 367, 751, 364, 748)(294, 678, 352, 736, 369, 753, 329, 713)(299, 683, 363, 747, 368, 752, 341, 725)(301, 685, 366, 750, 370, 754, 362, 746)(333, 717, 380, 764, 353, 737, 381, 765)(348, 732, 384, 768, 354, 738, 382, 766)(355, 739, 383, 767, 356, 740, 379, 763)(357, 741, 378, 762, 365, 749, 377, 761)(769, 1153, 771, 1155, 778, 1162, 792, 1176, 782, 1166, 773, 1157)(770, 1154, 775, 1159, 785, 1169, 805, 1189, 788, 1172, 776, 1160)(772, 1156, 780, 1164, 795, 1179, 814, 1198, 790, 1174, 777, 1161)(774, 1158, 783, 1167, 800, 1184, 831, 1215, 803, 1187, 784, 1168)(779, 1163, 794, 1178, 820, 1204, 859, 1243, 816, 1200, 791, 1175)(781, 1165, 797, 1181, 825, 1209, 874, 1258, 828, 1212, 798, 1182)(786, 1170, 807, 1191, 842, 1226, 897, 1281, 838, 1222, 804, 1188)(787, 1171, 808, 1192, 844, 1228, 907, 1291, 847, 1231, 809, 1193)(789, 1173, 811, 1195, 849, 1233, 916, 1300, 852, 1236, 812, 1196)(793, 1177, 819, 1203, 863, 1247, 937, 1321, 861, 1245, 817, 1201)(796, 1180, 824, 1208, 871, 1255, 950, 1334, 869, 1253, 822, 1206)(799, 1183, 818, 1202, 862, 1246, 938, 1322, 881, 1265, 829, 1213)(801, 1185, 833, 1217, 887, 1271, 972, 1356, 883, 1267, 830, 1214)(802, 1186, 834, 1218, 889, 1273, 982, 1366, 892, 1276, 835, 1219)(806, 1190, 841, 1225, 901, 1285, 1000, 1384, 899, 1283, 839, 1223)(810, 1194, 840, 1224, 900, 1284, 1001, 1385, 914, 1298, 848, 1232)(813, 1197, 853, 1237, 922, 1306, 1033, 1417, 925, 1309, 854, 1238)(815, 1199, 856, 1240, 927, 1311, 1037, 1421, 930, 1314, 857, 1241)(821, 1205, 867, 1251, 945, 1329, 1051, 1435, 943, 1327, 865, 1249)(823, 1207, 870, 1254, 951, 1335, 1036, 1420, 926, 1310, 855, 1239)(826, 1210, 876, 1260, 961, 1345, 1016, 1400, 957, 1341, 873, 1257)(827, 1211, 877, 1261, 963, 1347, 1010, 1394, 966, 1350, 878, 1262)(832, 1216, 886, 1270, 976, 1360, 1075, 1459, 974, 1358, 884, 1268)(836, 1220, 885, 1269, 975, 1359, 1076, 1460, 989, 1373, 893, 1277)(837, 1221, 894, 1278, 990, 1374, 929, 1313, 993, 1377, 895, 1279)(843, 1227, 905, 1289, 1008, 1392, 928, 1312, 1006, 1390, 903, 1287)(845, 1229, 909, 1293, 1015, 1399, 1088, 1472, 1011, 1395, 906, 1290)(846, 1230, 910, 1294, 1017, 1401, 1084, 1468, 1020, 1404, 911, 1295)(850, 1234, 918, 1302, 1026, 1410, 962, 1346, 1024, 1408, 915, 1299)(851, 1235, 919, 1303, 1028, 1412, 956, 1340, 1031, 1415, 920, 1304)(858, 1242, 931, 1315, 1040, 1424, 1123, 1507, 1042, 1426, 932, 1316)(860, 1244, 934, 1318, 979, 1363, 1081, 1465, 987, 1371, 935, 1319)(864, 1248, 941, 1325, 1046, 1430, 1127, 1511, 1045, 1429, 940, 1324)(866, 1250, 944, 1328, 879, 1263, 959, 1343, 973, 1357, 933, 1317)(868, 1252, 947, 1331, 1054, 1438, 1072, 1456, 1039, 1423, 948, 1332)(872, 1256, 955, 1339, 1059, 1443, 1071, 1455, 1058, 1442, 953, 1337)(875, 1259, 960, 1344, 1062, 1446, 1133, 1517, 1061, 1445, 958, 1342)(880, 1264, 967, 1351, 1067, 1451, 1110, 1494, 1069, 1453, 968, 1352)(882, 1266, 969, 1353, 1070, 1454, 992, 1376, 1073, 1457, 970, 1354)(888, 1272, 980, 1364, 1082, 1466, 991, 1375, 1080, 1464, 978, 1362)(890, 1274, 984, 1368, 1087, 1471, 1027, 1411, 1085, 1469, 981, 1365)(891, 1275, 985, 1369, 1089, 1473, 1023, 1407, 1092, 1476, 986, 1370)(896, 1280, 994, 1378, 1095, 1479, 1145, 1529, 1097, 1481, 995, 1379)(898, 1282, 997, 1381, 954, 1338, 1032, 1416, 921, 1305, 998, 1382)(902, 1286, 1004, 1388, 1101, 1485, 1041, 1425, 1100, 1484, 1003, 1387)(904, 1288, 1007, 1391, 912, 1296, 1013, 1397, 923, 1307, 996, 1380)(908, 1292, 1014, 1398, 1109, 1493, 1151, 1535, 1108, 1492, 1012, 1396)(913, 1297, 1021, 1405, 1114, 1498, 1141, 1525, 1116, 1500, 1022, 1406)(917, 1301, 1025, 1409, 1117, 1501, 1147, 1531, 1099, 1483, 1002, 1386)(924, 1308, 1034, 1418, 1120, 1504, 1063, 1447, 1121, 1505, 1035, 1419)(936, 1320, 1043, 1427, 1124, 1508, 1136, 1520, 1074, 1458, 971, 1355)(939, 1323, 983, 1367, 1086, 1470, 1140, 1524, 1125, 1509, 1044, 1428)(942, 1326, 1048, 1432, 1129, 1513, 1142, 1526, 1090, 1474, 1049, 1433)(946, 1330, 1055, 1439, 1091, 1475, 1068, 1452, 1130, 1514, 1053, 1437)(949, 1333, 999, 1383, 1098, 1482, 1146, 1530, 1126, 1510, 1050, 1434)(952, 1336, 1038, 1422, 1122, 1506, 1135, 1519, 1131, 1515, 1056, 1440)(964, 1348, 1052, 1436, 1079, 1463, 1139, 1523, 1134, 1518, 1064, 1448)(965, 1349, 1065, 1449, 1128, 1512, 1047, 1431, 1083, 1467, 1066, 1450)(977, 1361, 1078, 1462, 1138, 1522, 1096, 1480, 1137, 1521, 1077, 1461)(988, 1372, 1093, 1477, 1143, 1527, 1118, 1502, 1144, 1528, 1094, 1478)(1005, 1389, 1103, 1487, 1149, 1533, 1119, 1503, 1029, 1413, 1104, 1488)(1009, 1393, 1107, 1491, 1030, 1414, 1115, 1499, 1150, 1534, 1106, 1490)(1018, 1402, 1105, 1489, 1057, 1441, 1132, 1516, 1152, 1536, 1111, 1495)(1019, 1403, 1112, 1496, 1148, 1532, 1102, 1486, 1060, 1444, 1113, 1497)
	L = (1, 771)(2, 775)(3, 778)(4, 780)(5, 769)(6, 783)(7, 785)(8, 770)(9, 772)(10, 792)(11, 794)(12, 795)(13, 797)(14, 773)(15, 800)(16, 774)(17, 805)(18, 807)(19, 808)(20, 776)(21, 811)(22, 777)(23, 779)(24, 782)(25, 819)(26, 820)(27, 814)(28, 824)(29, 825)(30, 781)(31, 818)(32, 831)(33, 833)(34, 834)(35, 784)(36, 786)(37, 788)(38, 841)(39, 842)(40, 844)(41, 787)(42, 840)(43, 849)(44, 789)(45, 853)(46, 790)(47, 856)(48, 791)(49, 793)(50, 862)(51, 863)(52, 859)(53, 867)(54, 796)(55, 870)(56, 871)(57, 874)(58, 876)(59, 877)(60, 798)(61, 799)(62, 801)(63, 803)(64, 886)(65, 887)(66, 889)(67, 802)(68, 885)(69, 894)(70, 804)(71, 806)(72, 900)(73, 901)(74, 897)(75, 905)(76, 907)(77, 909)(78, 910)(79, 809)(80, 810)(81, 916)(82, 918)(83, 919)(84, 812)(85, 922)(86, 813)(87, 823)(88, 927)(89, 815)(90, 931)(91, 816)(92, 934)(93, 817)(94, 938)(95, 937)(96, 941)(97, 821)(98, 944)(99, 945)(100, 947)(101, 822)(102, 951)(103, 950)(104, 955)(105, 826)(106, 828)(107, 960)(108, 961)(109, 963)(110, 827)(111, 959)(112, 967)(113, 829)(114, 969)(115, 830)(116, 832)(117, 975)(118, 976)(119, 972)(120, 980)(121, 982)(122, 984)(123, 985)(124, 835)(125, 836)(126, 990)(127, 837)(128, 994)(129, 838)(130, 997)(131, 839)(132, 1001)(133, 1000)(134, 1004)(135, 843)(136, 1007)(137, 1008)(138, 845)(139, 847)(140, 1014)(141, 1015)(142, 1017)(143, 846)(144, 1013)(145, 1021)(146, 848)(147, 850)(148, 852)(149, 1025)(150, 1026)(151, 1028)(152, 851)(153, 998)(154, 1033)(155, 996)(156, 1034)(157, 854)(158, 855)(159, 1037)(160, 1006)(161, 993)(162, 857)(163, 1040)(164, 858)(165, 866)(166, 979)(167, 860)(168, 1043)(169, 861)(170, 881)(171, 983)(172, 864)(173, 1046)(174, 1048)(175, 865)(176, 879)(177, 1051)(178, 1055)(179, 1054)(180, 868)(181, 999)(182, 869)(183, 1036)(184, 1038)(185, 872)(186, 1032)(187, 1059)(188, 1031)(189, 873)(190, 875)(191, 973)(192, 1062)(193, 1016)(194, 1024)(195, 1010)(196, 1052)(197, 1065)(198, 878)(199, 1067)(200, 880)(201, 1070)(202, 882)(203, 936)(204, 883)(205, 933)(206, 884)(207, 1076)(208, 1075)(209, 1078)(210, 888)(211, 1081)(212, 1082)(213, 890)(214, 892)(215, 1086)(216, 1087)(217, 1089)(218, 891)(219, 935)(220, 1093)(221, 893)(222, 929)(223, 1080)(224, 1073)(225, 895)(226, 1095)(227, 896)(228, 904)(229, 954)(230, 898)(231, 1098)(232, 899)(233, 914)(234, 917)(235, 902)(236, 1101)(237, 1103)(238, 903)(239, 912)(240, 928)(241, 1107)(242, 966)(243, 906)(244, 908)(245, 923)(246, 1109)(247, 1088)(248, 957)(249, 1084)(250, 1105)(251, 1112)(252, 911)(253, 1114)(254, 913)(255, 1092)(256, 915)(257, 1117)(258, 962)(259, 1085)(260, 956)(261, 1104)(262, 1115)(263, 920)(264, 921)(265, 925)(266, 1120)(267, 924)(268, 926)(269, 930)(270, 1122)(271, 948)(272, 1123)(273, 1100)(274, 932)(275, 1124)(276, 939)(277, 940)(278, 1127)(279, 1083)(280, 1129)(281, 942)(282, 949)(283, 943)(284, 1079)(285, 946)(286, 1072)(287, 1091)(288, 952)(289, 1132)(290, 953)(291, 1071)(292, 1113)(293, 958)(294, 1133)(295, 1121)(296, 964)(297, 1128)(298, 965)(299, 1110)(300, 1130)(301, 968)(302, 992)(303, 1058)(304, 1039)(305, 970)(306, 971)(307, 974)(308, 989)(309, 977)(310, 1138)(311, 1139)(312, 978)(313, 987)(314, 991)(315, 1066)(316, 1020)(317, 981)(318, 1140)(319, 1027)(320, 1011)(321, 1023)(322, 1049)(323, 1068)(324, 986)(325, 1143)(326, 988)(327, 1145)(328, 1137)(329, 995)(330, 1146)(331, 1002)(332, 1003)(333, 1041)(334, 1060)(335, 1149)(336, 1005)(337, 1057)(338, 1009)(339, 1030)(340, 1012)(341, 1151)(342, 1069)(343, 1018)(344, 1148)(345, 1019)(346, 1141)(347, 1150)(348, 1022)(349, 1147)(350, 1144)(351, 1029)(352, 1063)(353, 1035)(354, 1135)(355, 1042)(356, 1136)(357, 1044)(358, 1050)(359, 1045)(360, 1047)(361, 1142)(362, 1053)(363, 1056)(364, 1152)(365, 1061)(366, 1064)(367, 1131)(368, 1074)(369, 1077)(370, 1096)(371, 1134)(372, 1125)(373, 1116)(374, 1090)(375, 1118)(376, 1094)(377, 1097)(378, 1126)(379, 1099)(380, 1102)(381, 1119)(382, 1106)(383, 1108)(384, 1111)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 E17.2352
Graph:: bipartite
	v = 160 e = 768 f = 576
	degree seq :: [ 8^96, 12^64 ]

E17.2352 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y3^-1 * Y1^-1)^6, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3 * Y2 * Y3^-1)^2, Y3^2 * Y2 * Y3^-3 * Y2 * Y3^-3 * Y2 * Y3^3 * Y2 * Y3, (Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^2)^2 ]
Map:: polytopal
	R = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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)(769, 1153, 770, 1154)(771, 1155, 775, 1159)(772, 1156, 777, 1161)(773, 1157, 779, 1163)(774, 1158, 781, 1165)(776, 1160, 785, 1169)(778, 1162, 789, 1173)(780, 1164, 792, 1176)(782, 1166, 796, 1180)(783, 1167, 795, 1179)(784, 1168, 798, 1182)(786, 1170, 802, 1186)(787, 1171, 803, 1187)(788, 1172, 790, 1174)(791, 1175, 809, 1193)(793, 1177, 813, 1197)(794, 1178, 814, 1198)(797, 1181, 819, 1203)(799, 1183, 823, 1207)(800, 1184, 822, 1206)(801, 1185, 825, 1209)(804, 1188, 831, 1215)(805, 1189, 833, 1217)(806, 1190, 834, 1218)(807, 1191, 829, 1213)(808, 1192, 837, 1221)(810, 1194, 841, 1225)(811, 1195, 840, 1224)(812, 1196, 843, 1227)(815, 1199, 849, 1233)(816, 1200, 851, 1235)(817, 1201, 852, 1236)(818, 1202, 847, 1231)(820, 1204, 857, 1241)(821, 1205, 858, 1242)(824, 1208, 863, 1247)(826, 1210, 867, 1251)(827, 1211, 866, 1250)(828, 1212, 869, 1253)(830, 1214, 872, 1256)(832, 1216, 876, 1260)(835, 1219, 880, 1264)(836, 1220, 882, 1266)(838, 1222, 885, 1269)(839, 1223, 886, 1270)(842, 1226, 891, 1275)(844, 1228, 895, 1279)(845, 1229, 894, 1278)(846, 1230, 897, 1281)(848, 1232, 900, 1284)(850, 1234, 904, 1288)(853, 1237, 908, 1292)(854, 1238, 910, 1294)(855, 1239, 906, 1290)(856, 1240, 912, 1296)(859, 1243, 918, 1302)(860, 1244, 920, 1304)(861, 1245, 921, 1305)(862, 1246, 916, 1300)(864, 1248, 926, 1310)(865, 1249, 927, 1311)(868, 1252, 932, 1316)(870, 1254, 935, 1319)(871, 1255, 936, 1320)(873, 1257, 940, 1324)(874, 1258, 939, 1323)(875, 1259, 942, 1326)(877, 1261, 946, 1330)(878, 1262, 883, 1267)(879, 1263, 949, 1333)(881, 1265, 953, 1337)(884, 1268, 957, 1341)(887, 1271, 963, 1347)(888, 1272, 965, 1349)(889, 1273, 966, 1350)(890, 1274, 961, 1345)(892, 1276, 971, 1355)(893, 1277, 972, 1356)(896, 1280, 977, 1361)(898, 1282, 980, 1364)(899, 1283, 981, 1365)(901, 1285, 985, 1369)(902, 1286, 984, 1368)(903, 1287, 987, 1371)(905, 1289, 991, 1375)(907, 1291, 994, 1378)(909, 1293, 998, 1382)(911, 1295, 1001, 1385)(913, 1297, 976, 1360)(914, 1298, 1003, 1387)(915, 1299, 960, 1344)(917, 1301, 1006, 1390)(919, 1303, 974, 1358)(922, 1306, 997, 1381)(923, 1307, 1012, 1396)(924, 1308, 1010, 1394)(925, 1309, 1014, 1398)(928, 1312, 1017, 1401)(929, 1313, 964, 1348)(930, 1314, 988, 1372)(931, 1315, 958, 1342)(933, 1317, 978, 1362)(934, 1318, 982, 1366)(937, 1321, 979, 1363)(938, 1322, 1024, 1408)(941, 1325, 1026, 1410)(943, 1327, 975, 1359)(944, 1328, 989, 1373)(945, 1329, 1028, 1412)(947, 1331, 996, 1380)(948, 1332, 1030, 1414)(950, 1334, 1031, 1415)(951, 1335, 992, 1376)(952, 1336, 967, 1351)(954, 1338, 1034, 1418)(955, 1339, 1007, 1391)(956, 1340, 1037, 1421)(959, 1343, 1039, 1423)(962, 1346, 1042, 1426)(968, 1352, 1048, 1432)(969, 1353, 1046, 1430)(970, 1354, 1050, 1434)(973, 1357, 1053, 1437)(983, 1367, 1060, 1444)(986, 1370, 1062, 1446)(990, 1374, 1064, 1448)(993, 1377, 1066, 1450)(995, 1379, 1067, 1451)(999, 1383, 1070, 1454)(1000, 1384, 1043, 1427)(1002, 1386, 1075, 1459)(1004, 1388, 1078, 1462)(1005, 1389, 1079, 1463)(1008, 1392, 1081, 1465)(1009, 1393, 1083, 1467)(1011, 1395, 1063, 1447)(1013, 1397, 1086, 1470)(1015, 1399, 1056, 1440)(1016, 1400, 1088, 1472)(1018, 1402, 1077, 1461)(1019, 1403, 1069, 1453)(1020, 1404, 1051, 1435)(1021, 1405, 1059, 1443)(1022, 1406, 1092, 1476)(1023, 1407, 1057, 1441)(1025, 1409, 1094, 1478)(1027, 1411, 1047, 1431)(1029, 1413, 1098, 1482)(1032, 1416, 1071, 1455)(1033, 1417, 1055, 1439)(1035, 1419, 1068, 1452)(1036, 1420, 1105, 1489)(1038, 1422, 1108, 1492)(1040, 1424, 1111, 1495)(1041, 1425, 1112, 1496)(1044, 1428, 1114, 1498)(1045, 1429, 1116, 1500)(1049, 1433, 1119, 1503)(1052, 1436, 1121, 1505)(1054, 1438, 1110, 1494)(1058, 1442, 1125, 1509)(1061, 1445, 1127, 1511)(1065, 1449, 1131, 1515)(1072, 1456, 1138, 1522)(1073, 1457, 1134, 1518)(1074, 1458, 1122, 1506)(1076, 1460, 1130, 1514)(1080, 1464, 1139, 1523)(1082, 1466, 1120, 1504)(1084, 1468, 1117, 1501)(1085, 1469, 1132, 1516)(1087, 1471, 1115, 1499)(1089, 1473, 1107, 1491)(1090, 1474, 1124, 1508)(1091, 1475, 1123, 1507)(1093, 1477, 1136, 1520)(1095, 1479, 1141, 1525)(1096, 1480, 1137, 1521)(1097, 1481, 1109, 1493)(1099, 1483, 1118, 1502)(1100, 1484, 1135, 1519)(1101, 1485, 1106, 1490)(1102, 1486, 1133, 1517)(1103, 1487, 1126, 1510)(1104, 1488, 1129, 1513)(1113, 1497, 1145, 1529)(1128, 1512, 1147, 1531)(1140, 1524, 1148, 1532)(1142, 1526, 1146, 1530)(1143, 1527, 1149, 1533)(1144, 1528, 1150, 1534)(1151, 1535, 1152, 1536)
	L = (1, 771)(2, 773)(3, 776)(4, 769)(5, 780)(6, 770)(7, 783)(8, 786)(9, 787)(10, 772)(11, 790)(12, 793)(13, 794)(14, 774)(15, 797)(16, 775)(17, 800)(18, 778)(19, 804)(20, 777)(21, 806)(22, 808)(23, 779)(24, 811)(25, 782)(26, 815)(27, 781)(28, 817)(29, 820)(30, 821)(31, 784)(32, 824)(33, 785)(34, 827)(35, 829)(36, 832)(37, 788)(38, 835)(39, 789)(40, 838)(41, 839)(42, 791)(43, 842)(44, 792)(45, 845)(46, 847)(47, 850)(48, 795)(49, 853)(50, 796)(51, 855)(52, 799)(53, 859)(54, 798)(55, 861)(56, 864)(57, 865)(58, 801)(59, 868)(60, 802)(61, 871)(62, 803)(63, 874)(64, 805)(65, 877)(66, 869)(67, 881)(68, 807)(69, 883)(70, 810)(71, 887)(72, 809)(73, 889)(74, 892)(75, 893)(76, 812)(77, 896)(78, 813)(79, 899)(80, 814)(81, 902)(82, 816)(83, 905)(84, 897)(85, 909)(86, 818)(87, 911)(88, 819)(89, 914)(90, 916)(91, 919)(92, 822)(93, 922)(94, 823)(95, 924)(96, 826)(97, 928)(98, 825)(99, 930)(100, 933)(101, 934)(102, 828)(103, 937)(104, 938)(105, 830)(106, 941)(107, 831)(108, 944)(109, 947)(110, 833)(111, 834)(112, 951)(113, 836)(114, 954)(115, 956)(116, 837)(117, 959)(118, 961)(119, 964)(120, 840)(121, 967)(122, 841)(123, 969)(124, 844)(125, 973)(126, 843)(127, 975)(128, 978)(129, 979)(130, 846)(131, 982)(132, 983)(133, 848)(134, 986)(135, 849)(136, 989)(137, 992)(138, 851)(139, 852)(140, 996)(141, 854)(142, 999)(143, 972)(144, 1002)(145, 856)(146, 1004)(147, 857)(148, 1005)(149, 858)(150, 1008)(151, 860)(152, 1009)(153, 960)(154, 1011)(155, 862)(156, 1013)(157, 863)(158, 1016)(159, 958)(160, 1018)(161, 866)(162, 1019)(163, 867)(164, 963)(165, 870)(166, 1022)(167, 1023)(168, 1007)(169, 873)(170, 1010)(171, 872)(172, 980)(173, 1027)(174, 971)(175, 875)(176, 987)(177, 876)(178, 1028)(179, 994)(180, 878)(181, 993)(182, 879)(183, 1032)(184, 880)(185, 966)(186, 1035)(187, 882)(188, 927)(189, 1038)(190, 884)(191, 1040)(192, 885)(193, 1041)(194, 886)(195, 1044)(196, 888)(197, 1045)(198, 915)(199, 1047)(200, 890)(201, 1049)(202, 891)(203, 1052)(204, 913)(205, 1054)(206, 894)(207, 1055)(208, 895)(209, 918)(210, 898)(211, 1058)(212, 1059)(213, 1043)(214, 901)(215, 1046)(216, 900)(217, 935)(218, 1063)(219, 926)(220, 903)(221, 942)(222, 904)(223, 1064)(224, 949)(225, 906)(226, 948)(227, 907)(228, 1068)(229, 908)(230, 921)(231, 1071)(232, 910)(233, 1073)(234, 1076)(235, 912)(236, 953)(237, 936)(238, 1080)(239, 917)(240, 1082)(241, 939)(242, 920)(243, 923)(244, 1084)(245, 1075)(246, 1087)(247, 925)(248, 945)(249, 1089)(250, 929)(251, 1090)(252, 931)(253, 932)(254, 950)(255, 1093)(256, 1094)(257, 940)(258, 1097)(259, 943)(260, 1092)(261, 946)(262, 1100)(263, 1088)(264, 1103)(265, 952)(266, 1078)(267, 1098)(268, 955)(269, 1106)(270, 1109)(271, 957)(272, 998)(273, 981)(274, 1113)(275, 962)(276, 1115)(277, 984)(278, 965)(279, 968)(280, 1117)(281, 1108)(282, 1120)(283, 970)(284, 990)(285, 1122)(286, 974)(287, 1123)(288, 976)(289, 977)(290, 995)(291, 1126)(292, 1127)(293, 985)(294, 1130)(295, 988)(296, 1125)(297, 991)(298, 1133)(299, 1121)(300, 1136)(301, 997)(302, 1111)(303, 1131)(304, 1000)(305, 1128)(306, 1001)(307, 1015)(308, 1116)(309, 1003)(310, 1017)(311, 1132)(312, 1134)(313, 1006)(314, 1124)(315, 1110)(316, 1026)(317, 1012)(318, 1141)(319, 1143)(320, 1014)(321, 1144)(322, 1020)(323, 1021)(324, 1112)(325, 1129)(326, 1107)(327, 1024)(328, 1025)(329, 1140)(330, 1036)(331, 1029)(332, 1114)(333, 1030)(334, 1031)(335, 1033)(336, 1034)(337, 1142)(338, 1095)(339, 1037)(340, 1051)(341, 1083)(342, 1039)(343, 1053)(344, 1099)(345, 1101)(346, 1042)(347, 1091)(348, 1077)(349, 1062)(350, 1048)(351, 1147)(352, 1149)(353, 1050)(354, 1150)(355, 1056)(356, 1057)(357, 1079)(358, 1096)(359, 1074)(360, 1060)(361, 1061)(362, 1146)(363, 1072)(364, 1065)(365, 1081)(366, 1066)(367, 1067)(368, 1069)(369, 1070)(370, 1148)(371, 1105)(372, 1085)(373, 1151)(374, 1086)(375, 1102)(376, 1104)(377, 1138)(378, 1118)(379, 1152)(380, 1119)(381, 1135)(382, 1137)(383, 1139)(384, 1145)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2351
Graph:: simple bipartite
	v = 576 e = 768 f = 160
	degree seq :: [ 2^384, 4^192 ]

E17.2353 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (Y1^-1 * Y3)^4, Y3 * Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3 * Y1^2 * Y3 * Y1^-3 * Y3 * Y1^-1, (Y3 * Y1^-3 * Y3 * Y1 * Y3 * Y1^-1)^2, (Y3 * Y1^-3)^4, (Y1^-2 * Y3 * Y1^2 * Y3 * Y1^2 * Y3)^2 ]
Map:: polytopal
	R = (1, 385, 2, 386, 5, 389, 11, 395, 10, 394, 4, 388)(3, 387, 7, 391, 15, 399, 29, 413, 18, 402, 8, 392)(6, 390, 13, 397, 25, 409, 46, 430, 28, 412, 14, 398)(9, 393, 19, 403, 35, 419, 61, 445, 37, 421, 20, 404)(12, 396, 23, 407, 42, 426, 73, 457, 45, 429, 24, 408)(16, 400, 31, 415, 54, 438, 93, 477, 56, 440, 32, 416)(17, 401, 33, 417, 57, 441, 82, 466, 48, 432, 26, 410)(21, 405, 38, 422, 66, 450, 111, 495, 68, 452, 39, 423)(22, 406, 40, 424, 69, 453, 115, 499, 72, 456, 41, 425)(27, 411, 49, 433, 83, 467, 124, 508, 75, 459, 43, 427)(30, 414, 52, 436, 89, 473, 147, 531, 92, 476, 53, 437)(34, 418, 59, 443, 100, 484, 164, 548, 102, 486, 60, 444)(36, 420, 63, 447, 106, 490, 174, 558, 108, 492, 64, 448)(44, 428, 76, 460, 125, 509, 192, 576, 117, 501, 70, 454)(47, 431, 79, 463, 131, 515, 215, 599, 134, 518, 80, 464)(50, 434, 85, 469, 140, 524, 229, 613, 142, 526, 86, 470)(51, 435, 87, 471, 143, 527, 188, 572, 146, 530, 88, 472)(55, 439, 95, 479, 155, 539, 191, 575, 149, 533, 90, 474)(58, 442, 98, 482, 161, 545, 194, 578, 163, 547, 99, 483)(62, 446, 104, 488, 170, 554, 257, 641, 173, 557, 105, 489)(65, 449, 109, 493, 178, 562, 252, 636, 180, 564, 110, 494)(67, 451, 71, 455, 118, 502, 193, 577, 185, 569, 113, 497)(74, 458, 121, 505, 199, 583, 278, 662, 202, 586, 122, 506)(77, 461, 127, 511, 208, 592, 287, 671, 210, 594, 128, 512)(78, 462, 129, 513, 211, 595, 181, 565, 214, 598, 130, 514)(81, 465, 135, 519, 220, 604, 184, 568, 217, 601, 132, 516)(84, 468, 138, 522, 226, 610, 175, 559, 228, 612, 139, 523)(91, 475, 150, 534, 239, 623, 283, 667, 204, 588, 144, 528)(94, 478, 153, 537, 207, 591, 126, 510, 206, 590, 154, 538)(96, 480, 157, 541, 245, 629, 317, 701, 246, 630, 158, 542)(97, 481, 159, 543, 247, 631, 289, 673, 209, 593, 160, 544)(101, 485, 145, 529, 233, 617, 305, 689, 253, 637, 166, 550)(103, 487, 168, 552, 198, 582, 120, 504, 197, 581, 169, 553)(107, 491, 176, 560, 200, 584, 123, 507, 203, 587, 171, 555)(112, 496, 182, 566, 263, 647, 334, 718, 264, 648, 183, 567)(114, 498, 186, 570, 266, 650, 330, 714, 268, 652, 187, 571)(116, 500, 189, 573, 269, 653, 338, 722, 271, 655, 190, 574)(119, 503, 195, 579, 274, 658, 344, 728, 276, 660, 196, 580)(133, 517, 218, 602, 294, 678, 342, 726, 272, 656, 212, 596)(136, 520, 222, 606, 172, 556, 235, 619, 297, 681, 223, 607)(137, 521, 224, 608, 298, 682, 346, 730, 275, 659, 225, 609)(141, 525, 213, 597, 152, 536, 241, 625, 302, 686, 231, 615)(148, 532, 236, 620, 306, 690, 356, 740, 290, 674, 237, 621)(151, 535, 240, 624, 311, 695, 341, 725, 281, 665, 219, 603)(156, 540, 243, 627, 314, 698, 249, 633, 316, 700, 244, 628)(162, 546, 250, 634, 307, 691, 238, 622, 309, 693, 248, 632)(165, 549, 251, 635, 321, 705, 345, 729, 288, 672, 230, 614)(167, 551, 254, 638, 323, 707, 363, 747, 325, 709, 255, 639)(177, 561, 234, 618, 270, 654, 340, 724, 329, 713, 260, 644)(179, 563, 256, 640, 273, 657, 343, 727, 331, 715, 261, 645)(201, 585, 280, 664, 350, 734, 335, 719, 265, 649, 277, 661)(205, 589, 284, 668, 353, 737, 336, 720, 267, 651, 285, 669)(216, 600, 291, 675, 357, 741, 320, 704, 347, 731, 292, 676)(221, 605, 295, 679, 362, 746, 300, 684, 364, 748, 296, 680)(227, 611, 301, 685, 358, 742, 293, 677, 360, 744, 299, 683)(232, 616, 303, 687, 258, 642, 326, 710, 370, 754, 304, 688)(242, 626, 313, 697, 352, 736, 282, 666, 351, 735, 312, 696)(259, 643, 327, 711, 354, 738, 286, 670, 355, 739, 328, 712)(262, 646, 332, 716, 339, 723, 315, 699, 372, 756, 333, 717)(279, 663, 348, 732, 377, 761, 367, 751, 337, 721, 349, 733)(308, 692, 366, 750, 379, 763, 374, 758, 322, 706, 365, 749)(310, 694, 359, 743, 380, 764, 375, 759, 324, 708, 368, 752)(318, 702, 369, 753, 319, 703, 361, 745, 378, 762, 373, 757)(371, 755, 381, 765, 384, 768, 383, 767, 376, 760, 382, 766)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 769)(4, 777)(5, 780)(6, 770)(7, 784)(8, 785)(9, 772)(10, 789)(11, 790)(12, 773)(13, 794)(14, 795)(15, 798)(16, 775)(17, 776)(18, 802)(19, 804)(20, 799)(21, 778)(22, 779)(23, 811)(24, 812)(25, 815)(26, 781)(27, 782)(28, 818)(29, 819)(30, 783)(31, 788)(32, 823)(33, 826)(34, 786)(35, 830)(36, 787)(37, 833)(38, 835)(39, 831)(40, 838)(41, 839)(42, 842)(43, 791)(44, 792)(45, 845)(46, 846)(47, 793)(48, 849)(49, 852)(50, 796)(51, 797)(52, 858)(53, 859)(54, 862)(55, 800)(56, 864)(57, 865)(58, 801)(59, 869)(60, 866)(61, 871)(62, 803)(63, 807)(64, 875)(65, 805)(66, 880)(67, 806)(68, 882)(69, 884)(70, 808)(71, 809)(72, 887)(73, 888)(74, 810)(75, 891)(76, 894)(77, 813)(78, 814)(79, 900)(80, 901)(81, 816)(82, 904)(83, 905)(84, 817)(85, 909)(86, 906)(87, 912)(88, 913)(89, 916)(90, 820)(91, 821)(92, 919)(93, 920)(94, 822)(95, 924)(96, 824)(97, 825)(98, 828)(99, 930)(100, 933)(101, 827)(102, 935)(103, 829)(104, 939)(105, 940)(106, 943)(107, 832)(108, 945)(109, 947)(110, 921)(111, 949)(112, 834)(113, 952)(114, 836)(115, 956)(116, 837)(117, 959)(118, 962)(119, 840)(120, 841)(121, 968)(122, 969)(123, 843)(124, 972)(125, 973)(126, 844)(127, 977)(128, 974)(129, 980)(130, 981)(131, 984)(132, 847)(133, 848)(134, 987)(135, 989)(136, 850)(137, 851)(138, 854)(139, 995)(140, 998)(141, 853)(142, 1000)(143, 993)(144, 855)(145, 856)(146, 1002)(147, 1003)(148, 857)(149, 1006)(150, 983)(151, 860)(152, 861)(153, 878)(154, 1010)(155, 957)(156, 863)(157, 982)(158, 1011)(159, 1016)(160, 966)(161, 1017)(162, 867)(163, 964)(164, 999)(165, 868)(166, 1020)(167, 870)(168, 990)(169, 1024)(170, 1026)(171, 872)(172, 873)(173, 1008)(174, 1001)(175, 874)(176, 1027)(177, 876)(178, 1019)(179, 877)(180, 1030)(181, 879)(182, 988)(183, 1013)(184, 881)(185, 1033)(186, 1035)(187, 996)(188, 883)(189, 923)(190, 1038)(191, 885)(192, 1040)(193, 1041)(194, 886)(195, 1043)(196, 931)(197, 1045)(198, 928)(199, 1047)(200, 889)(201, 890)(202, 1049)(203, 1050)(204, 892)(205, 893)(206, 896)(207, 1054)(208, 1056)(209, 895)(210, 1058)(211, 1053)(212, 897)(213, 898)(214, 925)(215, 918)(216, 899)(217, 1061)(218, 1046)(219, 902)(220, 950)(221, 903)(222, 936)(223, 1063)(224, 1067)(225, 911)(226, 1068)(227, 907)(228, 955)(229, 1057)(230, 908)(231, 932)(232, 910)(233, 942)(234, 914)(235, 915)(236, 1075)(237, 1076)(238, 917)(239, 1078)(240, 941)(241, 1080)(242, 922)(243, 926)(244, 1083)(245, 951)(246, 1086)(247, 1087)(248, 927)(249, 929)(250, 1088)(251, 946)(252, 934)(253, 1090)(254, 1092)(255, 1084)(256, 937)(257, 1085)(258, 938)(259, 944)(260, 1095)(261, 1098)(262, 948)(263, 1091)(264, 1079)(265, 953)(266, 1089)(267, 954)(268, 1105)(269, 1107)(270, 958)(271, 1109)(272, 960)(273, 961)(274, 1113)(275, 963)(276, 1115)(277, 965)(278, 986)(279, 967)(280, 1106)(281, 970)(282, 971)(283, 1119)(284, 1122)(285, 979)(286, 975)(287, 1114)(288, 976)(289, 997)(290, 978)(291, 1126)(292, 1127)(293, 985)(294, 1129)(295, 991)(296, 1131)(297, 1133)(298, 1134)(299, 992)(300, 994)(301, 1135)(302, 1136)(303, 1137)(304, 1132)(305, 1130)(306, 1139)(307, 1004)(308, 1005)(309, 1110)(310, 1007)(311, 1032)(312, 1009)(313, 1124)(314, 1111)(315, 1012)(316, 1023)(317, 1025)(318, 1014)(319, 1015)(320, 1018)(321, 1034)(322, 1021)(323, 1031)(324, 1022)(325, 1144)(326, 1120)(327, 1028)(328, 1116)(329, 1143)(330, 1029)(331, 1141)(332, 1142)(333, 1123)(334, 1108)(335, 1128)(336, 1112)(337, 1036)(338, 1048)(339, 1037)(340, 1102)(341, 1039)(342, 1077)(343, 1082)(344, 1104)(345, 1042)(346, 1055)(347, 1044)(348, 1096)(349, 1146)(350, 1147)(351, 1051)(352, 1094)(353, 1148)(354, 1052)(355, 1101)(356, 1081)(357, 1149)(358, 1059)(359, 1060)(360, 1103)(361, 1062)(362, 1073)(363, 1064)(364, 1072)(365, 1065)(366, 1066)(367, 1069)(368, 1070)(369, 1071)(370, 1150)(371, 1074)(372, 1151)(373, 1099)(374, 1100)(375, 1097)(376, 1093)(377, 1152)(378, 1117)(379, 1118)(380, 1121)(381, 1125)(382, 1138)(383, 1140)(384, 1145)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2350
Graph:: simple bipartite
	v = 448 e = 768 f = 288
	degree seq :: [ 2^384, 12^64 ]

E17.2354 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y3 * Y2^-1)^4, (Y2^-1 * Y1)^4, (Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^2)^2, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2 * Y1 * Y2^-1)^2, Y2^-3 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 11, 395)(6, 390, 13, 397)(8, 392, 17, 401)(10, 394, 21, 405)(12, 396, 24, 408)(14, 398, 28, 412)(15, 399, 27, 411)(16, 400, 30, 414)(18, 402, 34, 418)(19, 403, 35, 419)(20, 404, 22, 406)(23, 407, 41, 425)(25, 409, 45, 429)(26, 410, 46, 430)(29, 413, 51, 435)(31, 415, 55, 439)(32, 416, 54, 438)(33, 417, 57, 441)(36, 420, 63, 447)(37, 421, 65, 449)(38, 422, 66, 450)(39, 423, 61, 445)(40, 424, 69, 453)(42, 426, 73, 457)(43, 427, 72, 456)(44, 428, 75, 459)(47, 431, 81, 465)(48, 432, 83, 467)(49, 433, 84, 468)(50, 434, 79, 463)(52, 436, 89, 473)(53, 437, 90, 474)(56, 440, 95, 479)(58, 442, 99, 483)(59, 443, 98, 482)(60, 444, 101, 485)(62, 446, 104, 488)(64, 448, 108, 492)(67, 451, 112, 496)(68, 452, 114, 498)(70, 454, 117, 501)(71, 455, 118, 502)(74, 458, 123, 507)(76, 460, 127, 511)(77, 461, 126, 510)(78, 462, 129, 513)(80, 464, 132, 516)(82, 466, 136, 520)(85, 469, 140, 524)(86, 470, 142, 526)(87, 471, 138, 522)(88, 472, 144, 528)(91, 475, 150, 534)(92, 476, 152, 536)(93, 477, 153, 537)(94, 478, 148, 532)(96, 480, 158, 542)(97, 481, 159, 543)(100, 484, 164, 548)(102, 486, 167, 551)(103, 487, 168, 552)(105, 489, 172, 556)(106, 490, 171, 555)(107, 491, 174, 558)(109, 493, 178, 562)(110, 494, 115, 499)(111, 495, 181, 565)(113, 497, 185, 569)(116, 500, 189, 573)(119, 503, 195, 579)(120, 504, 197, 581)(121, 505, 198, 582)(122, 506, 193, 577)(124, 508, 203, 587)(125, 509, 204, 588)(128, 512, 209, 593)(130, 514, 212, 596)(131, 515, 213, 597)(133, 517, 217, 601)(134, 518, 216, 600)(135, 519, 219, 603)(137, 521, 223, 607)(139, 523, 226, 610)(141, 525, 230, 614)(143, 527, 233, 617)(145, 529, 208, 592)(146, 530, 235, 619)(147, 531, 192, 576)(149, 533, 238, 622)(151, 535, 206, 590)(154, 538, 229, 613)(155, 539, 244, 628)(156, 540, 242, 626)(157, 541, 246, 630)(160, 544, 249, 633)(161, 545, 196, 580)(162, 546, 220, 604)(163, 547, 190, 574)(165, 549, 210, 594)(166, 550, 214, 598)(169, 553, 211, 595)(170, 554, 256, 640)(173, 557, 258, 642)(175, 559, 207, 591)(176, 560, 221, 605)(177, 561, 260, 644)(179, 563, 228, 612)(180, 564, 262, 646)(182, 566, 263, 647)(183, 567, 224, 608)(184, 568, 199, 583)(186, 570, 266, 650)(187, 571, 239, 623)(188, 572, 269, 653)(191, 575, 271, 655)(194, 578, 274, 658)(200, 584, 280, 664)(201, 585, 278, 662)(202, 586, 282, 666)(205, 589, 285, 669)(215, 599, 292, 676)(218, 602, 294, 678)(222, 606, 296, 680)(225, 609, 298, 682)(227, 611, 299, 683)(231, 615, 302, 686)(232, 616, 275, 659)(234, 618, 307, 691)(236, 620, 310, 694)(237, 621, 311, 695)(240, 624, 313, 697)(241, 625, 315, 699)(243, 627, 295, 679)(245, 629, 318, 702)(247, 631, 288, 672)(248, 632, 320, 704)(250, 634, 309, 693)(251, 635, 301, 685)(252, 636, 283, 667)(253, 637, 291, 675)(254, 638, 324, 708)(255, 639, 289, 673)(257, 641, 326, 710)(259, 643, 279, 663)(261, 645, 330, 714)(264, 648, 303, 687)(265, 649, 287, 671)(267, 651, 300, 684)(268, 652, 337, 721)(270, 654, 340, 724)(272, 656, 343, 727)(273, 657, 344, 728)(276, 660, 346, 730)(277, 661, 348, 732)(281, 665, 351, 735)(284, 668, 353, 737)(286, 670, 342, 726)(290, 674, 357, 741)(293, 677, 359, 743)(297, 681, 363, 747)(304, 688, 370, 754)(305, 689, 366, 750)(306, 690, 354, 738)(308, 692, 362, 746)(312, 696, 371, 755)(314, 698, 352, 736)(316, 700, 349, 733)(317, 701, 364, 748)(319, 703, 347, 731)(321, 705, 339, 723)(322, 706, 356, 740)(323, 707, 355, 739)(325, 709, 368, 752)(327, 711, 373, 757)(328, 712, 369, 753)(329, 713, 341, 725)(331, 715, 350, 734)(332, 716, 367, 751)(333, 717, 338, 722)(334, 718, 365, 749)(335, 719, 358, 742)(336, 720, 361, 745)(345, 729, 377, 761)(360, 744, 379, 763)(372, 756, 380, 764)(374, 758, 378, 762)(375, 759, 381, 765)(376, 760, 382, 766)(383, 767, 384, 768)(769, 1153, 771, 1155, 776, 1160, 786, 1170, 778, 1162, 772, 1156)(770, 1154, 773, 1157, 780, 1164, 793, 1177, 782, 1166, 774, 1158)(775, 1159, 783, 1167, 797, 1181, 820, 1204, 799, 1183, 784, 1168)(777, 1161, 787, 1171, 804, 1188, 832, 1216, 805, 1189, 788, 1172)(779, 1163, 790, 1174, 808, 1192, 838, 1222, 810, 1194, 791, 1175)(781, 1165, 794, 1178, 815, 1199, 850, 1234, 816, 1200, 795, 1179)(785, 1169, 800, 1184, 824, 1208, 864, 1248, 826, 1210, 801, 1185)(789, 1173, 806, 1190, 835, 1219, 881, 1265, 836, 1220, 807, 1191)(792, 1176, 811, 1195, 842, 1226, 892, 1276, 844, 1228, 812, 1196)(796, 1180, 817, 1201, 853, 1237, 909, 1293, 854, 1238, 818, 1202)(798, 1182, 821, 1205, 859, 1243, 919, 1303, 860, 1244, 822, 1206)(802, 1186, 827, 1211, 868, 1252, 933, 1317, 870, 1254, 828, 1212)(803, 1187, 829, 1213, 871, 1255, 937, 1321, 873, 1257, 830, 1214)(809, 1193, 839, 1223, 887, 1271, 964, 1348, 888, 1272, 840, 1224)(813, 1197, 845, 1229, 896, 1280, 978, 1362, 898, 1282, 846, 1230)(814, 1198, 847, 1231, 899, 1283, 982, 1366, 901, 1285, 848, 1232)(819, 1203, 855, 1239, 911, 1295, 972, 1356, 913, 1297, 856, 1240)(823, 1207, 861, 1245, 922, 1306, 1011, 1395, 923, 1307, 862, 1246)(825, 1209, 865, 1249, 928, 1312, 1018, 1402, 929, 1313, 866, 1250)(831, 1215, 874, 1258, 941, 1325, 1027, 1411, 943, 1327, 875, 1259)(833, 1217, 877, 1261, 947, 1331, 994, 1378, 948, 1332, 878, 1262)(834, 1218, 869, 1253, 934, 1318, 1022, 1406, 950, 1334, 879, 1263)(837, 1221, 883, 1267, 956, 1340, 927, 1311, 958, 1342, 884, 1268)(841, 1225, 889, 1273, 967, 1351, 1047, 1431, 968, 1352, 890, 1274)(843, 1227, 893, 1277, 973, 1357, 1054, 1438, 974, 1358, 894, 1278)(849, 1233, 902, 1286, 986, 1370, 1063, 1447, 988, 1372, 903, 1287)(851, 1235, 905, 1289, 992, 1376, 949, 1333, 993, 1377, 906, 1290)(852, 1236, 897, 1281, 979, 1363, 1058, 1442, 995, 1379, 907, 1291)(857, 1241, 914, 1298, 1004, 1388, 953, 1337, 966, 1350, 915, 1299)(858, 1242, 916, 1300, 1005, 1389, 936, 1320, 1007, 1391, 917, 1301)(863, 1247, 924, 1308, 1013, 1397, 1075, 1459, 1015, 1399, 925, 1309)(867, 1251, 930, 1314, 1019, 1403, 1090, 1474, 1020, 1404, 931, 1315)(872, 1256, 938, 1322, 1010, 1394, 920, 1304, 1009, 1393, 939, 1323)(876, 1260, 944, 1328, 987, 1371, 926, 1310, 1016, 1400, 945, 1329)(880, 1264, 951, 1335, 1032, 1416, 1103, 1487, 1033, 1417, 952, 1336)(882, 1266, 954, 1338, 1035, 1419, 1098, 1482, 1036, 1420, 955, 1339)(885, 1269, 959, 1343, 1040, 1424, 998, 1382, 921, 1305, 960, 1344)(886, 1270, 961, 1345, 1041, 1425, 981, 1365, 1043, 1427, 962, 1346)(891, 1275, 969, 1353, 1049, 1433, 1108, 1492, 1051, 1435, 970, 1354)(895, 1279, 975, 1359, 1055, 1439, 1123, 1507, 1056, 1440, 976, 1360)(900, 1284, 983, 1367, 1046, 1430, 965, 1349, 1045, 1429, 984, 1368)(904, 1288, 989, 1373, 942, 1326, 971, 1355, 1052, 1436, 990, 1374)(908, 1292, 996, 1380, 1068, 1452, 1136, 1520, 1069, 1453, 997, 1381)(910, 1294, 999, 1383, 1071, 1455, 1131, 1515, 1072, 1456, 1000, 1384)(912, 1296, 1002, 1386, 1076, 1460, 1116, 1500, 1077, 1461, 1003, 1387)(918, 1302, 1008, 1392, 1082, 1466, 1124, 1508, 1057, 1441, 977, 1361)(932, 1316, 963, 1347, 1044, 1428, 1115, 1499, 1091, 1475, 1021, 1405)(935, 1319, 1023, 1407, 1093, 1477, 1129, 1513, 1061, 1445, 985, 1369)(940, 1324, 980, 1364, 1059, 1443, 1126, 1510, 1096, 1480, 1025, 1409)(946, 1330, 1028, 1412, 1092, 1476, 1112, 1496, 1099, 1483, 1029, 1413)(957, 1341, 1038, 1422, 1109, 1493, 1083, 1467, 1110, 1494, 1039, 1423)(991, 1375, 1064, 1448, 1125, 1509, 1079, 1463, 1132, 1516, 1065, 1449)(1001, 1385, 1073, 1457, 1128, 1512, 1060, 1444, 1127, 1511, 1074, 1458)(1006, 1390, 1080, 1464, 1134, 1518, 1066, 1450, 1133, 1517, 1081, 1465)(1012, 1396, 1084, 1468, 1026, 1410, 1097, 1481, 1140, 1524, 1085, 1469)(1014, 1398, 1087, 1471, 1143, 1527, 1102, 1486, 1031, 1415, 1088, 1472)(1017, 1401, 1089, 1473, 1144, 1528, 1104, 1488, 1034, 1418, 1078, 1462)(1024, 1408, 1094, 1478, 1107, 1491, 1037, 1421, 1106, 1490, 1095, 1479)(1030, 1414, 1100, 1484, 1114, 1498, 1042, 1426, 1113, 1497, 1101, 1485)(1048, 1432, 1117, 1501, 1062, 1446, 1130, 1514, 1146, 1530, 1118, 1502)(1050, 1434, 1120, 1504, 1149, 1533, 1135, 1519, 1067, 1451, 1121, 1505)(1053, 1437, 1122, 1506, 1150, 1534, 1137, 1521, 1070, 1454, 1111, 1495)(1086, 1470, 1141, 1525, 1151, 1535, 1139, 1523, 1105, 1489, 1142, 1526)(1119, 1503, 1147, 1531, 1152, 1536, 1145, 1529, 1138, 1522, 1148, 1532)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 779)(6, 781)(7, 771)(8, 785)(9, 772)(10, 789)(11, 773)(12, 792)(13, 774)(14, 796)(15, 795)(16, 798)(17, 776)(18, 802)(19, 803)(20, 790)(21, 778)(22, 788)(23, 809)(24, 780)(25, 813)(26, 814)(27, 783)(28, 782)(29, 819)(30, 784)(31, 823)(32, 822)(33, 825)(34, 786)(35, 787)(36, 831)(37, 833)(38, 834)(39, 829)(40, 837)(41, 791)(42, 841)(43, 840)(44, 843)(45, 793)(46, 794)(47, 849)(48, 851)(49, 852)(50, 847)(51, 797)(52, 857)(53, 858)(54, 800)(55, 799)(56, 863)(57, 801)(58, 867)(59, 866)(60, 869)(61, 807)(62, 872)(63, 804)(64, 876)(65, 805)(66, 806)(67, 880)(68, 882)(69, 808)(70, 885)(71, 886)(72, 811)(73, 810)(74, 891)(75, 812)(76, 895)(77, 894)(78, 897)(79, 818)(80, 900)(81, 815)(82, 904)(83, 816)(84, 817)(85, 908)(86, 910)(87, 906)(88, 912)(89, 820)(90, 821)(91, 918)(92, 920)(93, 921)(94, 916)(95, 824)(96, 926)(97, 927)(98, 827)(99, 826)(100, 932)(101, 828)(102, 935)(103, 936)(104, 830)(105, 940)(106, 939)(107, 942)(108, 832)(109, 946)(110, 883)(111, 949)(112, 835)(113, 953)(114, 836)(115, 878)(116, 957)(117, 838)(118, 839)(119, 963)(120, 965)(121, 966)(122, 961)(123, 842)(124, 971)(125, 972)(126, 845)(127, 844)(128, 977)(129, 846)(130, 980)(131, 981)(132, 848)(133, 985)(134, 984)(135, 987)(136, 850)(137, 991)(138, 855)(139, 994)(140, 853)(141, 998)(142, 854)(143, 1001)(144, 856)(145, 976)(146, 1003)(147, 960)(148, 862)(149, 1006)(150, 859)(151, 974)(152, 860)(153, 861)(154, 997)(155, 1012)(156, 1010)(157, 1014)(158, 864)(159, 865)(160, 1017)(161, 964)(162, 988)(163, 958)(164, 868)(165, 978)(166, 982)(167, 870)(168, 871)(169, 979)(170, 1024)(171, 874)(172, 873)(173, 1026)(174, 875)(175, 975)(176, 989)(177, 1028)(178, 877)(179, 996)(180, 1030)(181, 879)(182, 1031)(183, 992)(184, 967)(185, 881)(186, 1034)(187, 1007)(188, 1037)(189, 884)(190, 931)(191, 1039)(192, 915)(193, 890)(194, 1042)(195, 887)(196, 929)(197, 888)(198, 889)(199, 952)(200, 1048)(201, 1046)(202, 1050)(203, 892)(204, 893)(205, 1053)(206, 919)(207, 943)(208, 913)(209, 896)(210, 933)(211, 937)(212, 898)(213, 899)(214, 934)(215, 1060)(216, 902)(217, 901)(218, 1062)(219, 903)(220, 930)(221, 944)(222, 1064)(223, 905)(224, 951)(225, 1066)(226, 907)(227, 1067)(228, 947)(229, 922)(230, 909)(231, 1070)(232, 1043)(233, 911)(234, 1075)(235, 914)(236, 1078)(237, 1079)(238, 917)(239, 955)(240, 1081)(241, 1083)(242, 924)(243, 1063)(244, 923)(245, 1086)(246, 925)(247, 1056)(248, 1088)(249, 928)(250, 1077)(251, 1069)(252, 1051)(253, 1059)(254, 1092)(255, 1057)(256, 938)(257, 1094)(258, 941)(259, 1047)(260, 945)(261, 1098)(262, 948)(263, 950)(264, 1071)(265, 1055)(266, 954)(267, 1068)(268, 1105)(269, 956)(270, 1108)(271, 959)(272, 1111)(273, 1112)(274, 962)(275, 1000)(276, 1114)(277, 1116)(278, 969)(279, 1027)(280, 968)(281, 1119)(282, 970)(283, 1020)(284, 1121)(285, 973)(286, 1110)(287, 1033)(288, 1015)(289, 1023)(290, 1125)(291, 1021)(292, 983)(293, 1127)(294, 986)(295, 1011)(296, 990)(297, 1131)(298, 993)(299, 995)(300, 1035)(301, 1019)(302, 999)(303, 1032)(304, 1138)(305, 1134)(306, 1122)(307, 1002)(308, 1130)(309, 1018)(310, 1004)(311, 1005)(312, 1139)(313, 1008)(314, 1120)(315, 1009)(316, 1117)(317, 1132)(318, 1013)(319, 1115)(320, 1016)(321, 1107)(322, 1124)(323, 1123)(324, 1022)(325, 1136)(326, 1025)(327, 1141)(328, 1137)(329, 1109)(330, 1029)(331, 1118)(332, 1135)(333, 1106)(334, 1133)(335, 1126)(336, 1129)(337, 1036)(338, 1101)(339, 1089)(340, 1038)(341, 1097)(342, 1054)(343, 1040)(344, 1041)(345, 1145)(346, 1044)(347, 1087)(348, 1045)(349, 1084)(350, 1099)(351, 1049)(352, 1082)(353, 1052)(354, 1074)(355, 1091)(356, 1090)(357, 1058)(358, 1103)(359, 1061)(360, 1147)(361, 1104)(362, 1076)(363, 1065)(364, 1085)(365, 1102)(366, 1073)(367, 1100)(368, 1093)(369, 1096)(370, 1072)(371, 1080)(372, 1148)(373, 1095)(374, 1146)(375, 1149)(376, 1150)(377, 1113)(378, 1142)(379, 1128)(380, 1140)(381, 1143)(382, 1144)(383, 1152)(384, 1151)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2355
Graph:: bipartite
	v = 256 e = 768 f = 480
	degree seq :: [ 4^192, 12^64 ]

E17.2355 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5602>$ (small group id <384, 5602>)
Aut   = $<768, 1088556>$ (small group id <768, 1088556>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y1 * Y3)^2, Y1^4, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y3 * Y1^-2 * Y3 * Y1 * Y3^2, (Y3 * Y1^-1 * Y3)^4, (Y3 * Y2^-1)^6, Y1^-1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^3 * Y1^-1, Y1^-1 * Y3^-2 * Y1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^3 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1^-1 ]
Map:: polytopal
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 58, 442, 29, 413)(17, 401, 36, 420, 69, 453, 38, 422)(20, 404, 42, 426, 77, 461, 40, 424)(22, 406, 45, 429, 82, 466, 43, 427)(24, 408, 49, 433, 92, 476, 50, 434)(26, 410, 44, 428, 83, 467, 53, 437)(27, 411, 54, 438, 100, 484, 55, 439)(30, 414, 59, 443, 75, 459, 39, 423)(32, 416, 62, 446, 114, 498, 64, 448)(35, 419, 68, 452, 122, 506, 66, 450)(37, 421, 71, 455, 130, 514, 72, 456)(41, 425, 78, 462, 120, 504, 65, 449)(46, 430, 87, 471, 155, 539, 85, 469)(48, 432, 90, 474, 160, 544, 88, 472)(51, 435, 89, 473, 161, 545, 96, 480)(52, 436, 97, 481, 174, 558, 98, 482)(56, 440, 67, 451, 123, 507, 104, 488)(57, 441, 105, 489, 188, 572, 107, 491)(60, 444, 111, 495, 196, 580, 109, 493)(61, 445, 112, 496, 194, 578, 108, 492)(63, 447, 116, 500, 205, 589, 117, 501)(70, 454, 128, 512, 223, 607, 126, 510)(73, 457, 127, 511, 224, 608, 134, 518)(74, 458, 135, 519, 237, 621, 136, 520)(76, 460, 138, 522, 242, 626, 140, 524)(79, 463, 144, 528, 250, 634, 142, 526)(80, 464, 145, 529, 248, 632, 141, 525)(81, 465, 147, 531, 255, 639, 149, 533)(84, 468, 153, 537, 261, 645, 151, 535)(86, 470, 156, 540, 259, 643, 150, 534)(91, 475, 165, 549, 206, 590, 163, 547)(93, 477, 168, 552, 204, 588, 166, 550)(94, 478, 167, 551, 214, 598, 171, 555)(95, 479, 172, 556, 253, 637, 146, 530)(99, 483, 152, 536, 262, 646, 178, 562)(101, 485, 181, 565, 283, 667, 179, 563)(102, 486, 180, 564, 269, 653, 184, 568)(103, 487, 185, 569, 289, 673, 186, 570)(106, 490, 190, 574, 207, 591, 191, 575)(110, 494, 197, 581, 241, 625, 137, 521)(113, 497, 183, 567, 288, 672, 199, 583)(115, 499, 203, 587, 303, 687, 201, 585)(118, 502, 202, 586, 304, 688, 209, 593)(119, 503, 210, 594, 311, 695, 211, 595)(121, 505, 213, 597, 316, 700, 215, 599)(124, 508, 219, 603, 322, 706, 217, 601)(125, 509, 220, 604, 320, 704, 216, 600)(129, 513, 228, 612, 158, 542, 226, 610)(131, 515, 231, 615, 182, 566, 229, 613)(132, 516, 230, 614, 148, 532, 234, 618)(133, 517, 235, 619, 325, 709, 221, 605)(139, 523, 244, 628, 154, 538, 245, 629)(143, 527, 251, 635, 315, 699, 212, 596)(157, 541, 208, 592, 309, 693, 266, 650)(159, 543, 240, 624, 338, 722, 270, 654)(162, 546, 271, 655, 305, 689, 225, 609)(164, 548, 273, 657, 335, 719, 238, 622)(169, 553, 233, 617, 331, 715, 275, 659)(170, 554, 276, 660, 327, 711, 268, 652)(173, 557, 222, 606, 314, 698, 279, 663)(175, 559, 282, 666, 359, 743, 280, 664)(176, 560, 281, 665, 313, 697, 284, 668)(177, 561, 285, 669, 310, 694, 286, 670)(187, 571, 218, 602, 323, 707, 292, 676)(189, 573, 254, 638, 347, 731, 263, 647)(192, 576, 260, 644, 351, 735, 295, 679)(193, 577, 258, 642, 319, 703, 247, 631)(195, 579, 296, 680, 342, 726, 246, 630)(198, 582, 243, 627, 326, 710, 297, 681)(200, 584, 300, 684, 324, 708, 256, 640)(227, 611, 328, 712, 371, 755, 312, 696)(232, 616, 308, 692, 293, 677, 330, 714)(236, 620, 302, 686, 291, 675, 334, 718)(239, 623, 336, 720, 264, 648, 337, 721)(249, 633, 343, 727, 373, 757, 318, 702)(252, 636, 317, 701, 267, 651, 344, 728)(257, 641, 321, 705, 374, 758, 350, 734)(265, 649, 340, 724, 272, 656, 307, 691)(274, 658, 349, 733, 375, 759, 332, 716)(277, 661, 358, 742, 372, 756, 346, 730)(278, 662, 360, 744, 376, 760, 361, 745)(287, 671, 339, 723, 298, 682, 345, 729)(290, 674, 306, 690, 367, 751, 364, 748)(294, 678, 352, 736, 369, 753, 329, 713)(299, 683, 363, 747, 368, 752, 341, 725)(301, 685, 366, 750, 370, 754, 362, 746)(333, 717, 380, 764, 353, 737, 381, 765)(348, 732, 384, 768, 354, 738, 382, 766)(355, 739, 383, 767, 356, 740, 379, 763)(357, 741, 378, 762, 365, 749, 377, 761)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 775)(3, 778)(4, 780)(5, 769)(6, 783)(7, 785)(8, 770)(9, 772)(10, 792)(11, 794)(12, 795)(13, 797)(14, 773)(15, 800)(16, 774)(17, 805)(18, 807)(19, 808)(20, 776)(21, 811)(22, 777)(23, 779)(24, 782)(25, 819)(26, 820)(27, 814)(28, 824)(29, 825)(30, 781)(31, 818)(32, 831)(33, 833)(34, 834)(35, 784)(36, 786)(37, 788)(38, 841)(39, 842)(40, 844)(41, 787)(42, 840)(43, 849)(44, 789)(45, 853)(46, 790)(47, 856)(48, 791)(49, 793)(50, 862)(51, 863)(52, 859)(53, 867)(54, 796)(55, 870)(56, 871)(57, 874)(58, 876)(59, 877)(60, 798)(61, 799)(62, 801)(63, 803)(64, 886)(65, 887)(66, 889)(67, 802)(68, 885)(69, 894)(70, 804)(71, 806)(72, 900)(73, 901)(74, 897)(75, 905)(76, 907)(77, 909)(78, 910)(79, 809)(80, 810)(81, 916)(82, 918)(83, 919)(84, 812)(85, 922)(86, 813)(87, 823)(88, 927)(89, 815)(90, 931)(91, 816)(92, 934)(93, 817)(94, 938)(95, 937)(96, 941)(97, 821)(98, 944)(99, 945)(100, 947)(101, 822)(102, 951)(103, 950)(104, 955)(105, 826)(106, 828)(107, 960)(108, 961)(109, 963)(110, 827)(111, 959)(112, 967)(113, 829)(114, 969)(115, 830)(116, 832)(117, 975)(118, 976)(119, 972)(120, 980)(121, 982)(122, 984)(123, 985)(124, 835)(125, 836)(126, 990)(127, 837)(128, 994)(129, 838)(130, 997)(131, 839)(132, 1001)(133, 1000)(134, 1004)(135, 843)(136, 1007)(137, 1008)(138, 845)(139, 847)(140, 1014)(141, 1015)(142, 1017)(143, 846)(144, 1013)(145, 1021)(146, 848)(147, 850)(148, 852)(149, 1025)(150, 1026)(151, 1028)(152, 851)(153, 998)(154, 1033)(155, 996)(156, 1034)(157, 854)(158, 855)(159, 1037)(160, 1006)(161, 993)(162, 857)(163, 1040)(164, 858)(165, 866)(166, 979)(167, 860)(168, 1043)(169, 861)(170, 881)(171, 983)(172, 864)(173, 1046)(174, 1048)(175, 865)(176, 879)(177, 1051)(178, 1055)(179, 1054)(180, 868)(181, 999)(182, 869)(183, 1036)(184, 1038)(185, 872)(186, 1032)(187, 1059)(188, 1031)(189, 873)(190, 875)(191, 973)(192, 1062)(193, 1016)(194, 1024)(195, 1010)(196, 1052)(197, 1065)(198, 878)(199, 1067)(200, 880)(201, 1070)(202, 882)(203, 936)(204, 883)(205, 933)(206, 884)(207, 1076)(208, 1075)(209, 1078)(210, 888)(211, 1081)(212, 1082)(213, 890)(214, 892)(215, 1086)(216, 1087)(217, 1089)(218, 891)(219, 935)(220, 1093)(221, 893)(222, 929)(223, 1080)(224, 1073)(225, 895)(226, 1095)(227, 896)(228, 904)(229, 954)(230, 898)(231, 1098)(232, 899)(233, 914)(234, 917)(235, 902)(236, 1101)(237, 1103)(238, 903)(239, 912)(240, 928)(241, 1107)(242, 966)(243, 906)(244, 908)(245, 923)(246, 1109)(247, 1088)(248, 957)(249, 1084)(250, 1105)(251, 1112)(252, 911)(253, 1114)(254, 913)(255, 1092)(256, 915)(257, 1117)(258, 962)(259, 1085)(260, 956)(261, 1104)(262, 1115)(263, 920)(264, 921)(265, 925)(266, 1120)(267, 924)(268, 926)(269, 930)(270, 1122)(271, 948)(272, 1123)(273, 1100)(274, 932)(275, 1124)(276, 939)(277, 940)(278, 1127)(279, 1083)(280, 1129)(281, 942)(282, 949)(283, 943)(284, 1079)(285, 946)(286, 1072)(287, 1091)(288, 952)(289, 1132)(290, 953)(291, 1071)(292, 1113)(293, 958)(294, 1133)(295, 1121)(296, 964)(297, 1128)(298, 965)(299, 1110)(300, 1130)(301, 968)(302, 992)(303, 1058)(304, 1039)(305, 970)(306, 971)(307, 974)(308, 989)(309, 977)(310, 1138)(311, 1139)(312, 978)(313, 987)(314, 991)(315, 1066)(316, 1020)(317, 981)(318, 1140)(319, 1027)(320, 1011)(321, 1023)(322, 1049)(323, 1068)(324, 986)(325, 1143)(326, 988)(327, 1145)(328, 1137)(329, 995)(330, 1146)(331, 1002)(332, 1003)(333, 1041)(334, 1060)(335, 1149)(336, 1005)(337, 1057)(338, 1009)(339, 1030)(340, 1012)(341, 1151)(342, 1069)(343, 1018)(344, 1148)(345, 1019)(346, 1141)(347, 1150)(348, 1022)(349, 1147)(350, 1144)(351, 1029)(352, 1063)(353, 1035)(354, 1135)(355, 1042)(356, 1136)(357, 1044)(358, 1050)(359, 1045)(360, 1047)(361, 1142)(362, 1053)(363, 1056)(364, 1152)(365, 1061)(366, 1064)(367, 1131)(368, 1074)(369, 1077)(370, 1096)(371, 1134)(372, 1125)(373, 1116)(374, 1090)(375, 1118)(376, 1094)(377, 1097)(378, 1126)(379, 1099)(380, 1102)(381, 1119)(382, 1106)(383, 1108)(384, 1111)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2354
Graph:: simple bipartite
	v = 480 e = 768 f = 256
	degree seq :: [ 2^384, 8^96 ]

E17.2356 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1)^4, (T1^-1 * T2)^4, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1 * T2 * T1^-1)^3, (T2 * T1^-3)^4, T2 * T1^2 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 10, 4)(3, 7, 15, 29, 18, 8)(6, 13, 25, 46, 28, 14)(9, 19, 35, 61, 37, 20)(12, 23, 42, 73, 45, 24)(16, 31, 54, 93, 56, 32)(17, 33, 57, 82, 48, 26)(21, 38, 66, 109, 68, 39)(22, 40, 69, 113, 72, 41)(27, 49, 83, 122, 75, 43)(30, 52, 89, 143, 92, 53)(34, 59, 99, 156, 101, 60)(36, 63, 105, 164, 106, 64)(44, 76, 123, 178, 115, 70)(47, 79, 129, 199, 132, 80)(50, 85, 136, 206, 138, 86)(51, 87, 139, 174, 142, 88)(55, 84, 135, 205, 145, 90)(58, 97, 154, 229, 155, 98)(62, 103, 161, 236, 163, 104)(65, 107, 166, 242, 167, 108)(67, 71, 116, 179, 171, 111)(74, 119, 185, 261, 188, 120)(77, 125, 192, 268, 194, 126)(78, 127, 195, 168, 198, 128)(81, 124, 191, 267, 201, 130)(91, 146, 217, 291, 210, 140)(94, 149, 222, 300, 223, 150)(95, 151, 224, 283, 204, 134)(96, 152, 226, 285, 228, 153)(100, 141, 211, 272, 196, 131)(102, 159, 184, 118, 183, 160)(110, 169, 244, 304, 246, 170)(112, 172, 247, 316, 248, 173)(114, 175, 249, 318, 252, 176)(117, 181, 256, 324, 258, 182)(121, 180, 255, 323, 263, 186)(133, 203, 280, 213, 266, 190)(137, 197, 273, 326, 259, 187)(144, 214, 294, 336, 270, 215)(147, 218, 286, 207, 264, 219)(148, 220, 297, 231, 299, 221)(157, 202, 279, 239, 269, 232)(158, 233, 307, 360, 308, 234)(162, 238, 271, 337, 309, 235)(165, 241, 312, 320, 250, 177)(189, 265, 332, 275, 322, 254)(193, 260, 327, 293, 212, 251)(200, 276, 341, 370, 325, 277)(208, 287, 237, 310, 346, 288)(209, 289, 340, 274, 245, 257)(216, 292, 349, 369, 351, 295)(225, 298, 353, 367, 334, 296)(227, 303, 352, 368, 343, 281)(230, 306, 359, 366, 347, 290)(240, 253, 321, 313, 328, 311)(243, 314, 319, 365, 363, 315)(262, 329, 373, 364, 317, 330)(278, 339, 378, 362, 380, 342)(282, 344, 302, 357, 375, 333)(284, 345, 381, 354, 377, 338)(301, 355, 374, 331, 372, 356)(305, 348, 371, 335, 376, 358)(350, 379, 384, 383, 361, 382)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 95)(57, 96)(59, 100)(60, 97)(61, 102)(64, 98)(66, 110)(68, 112)(69, 114)(72, 117)(73, 118)(75, 121)(76, 124)(79, 130)(80, 131)(82, 133)(83, 134)(85, 137)(86, 135)(87, 140)(88, 141)(89, 144)(92, 147)(93, 148)(99, 157)(101, 158)(103, 155)(104, 162)(105, 165)(106, 152)(107, 146)(108, 149)(109, 168)(111, 150)(113, 174)(115, 177)(116, 180)(119, 186)(120, 187)(122, 189)(123, 190)(125, 193)(126, 191)(127, 196)(128, 197)(129, 200)(132, 202)(136, 207)(138, 208)(139, 209)(142, 212)(143, 213)(145, 216)(151, 225)(153, 227)(154, 230)(156, 231)(159, 235)(160, 217)(161, 237)(163, 239)(164, 240)(166, 219)(167, 243)(169, 223)(170, 245)(171, 220)(172, 238)(173, 241)(175, 250)(176, 251)(178, 253)(179, 254)(181, 257)(182, 255)(183, 259)(184, 260)(185, 262)(188, 264)(192, 269)(194, 270)(195, 271)(198, 274)(199, 275)(201, 278)(203, 281)(204, 282)(205, 284)(206, 285)(210, 290)(211, 292)(214, 295)(215, 296)(218, 256)(221, 298)(222, 301)(224, 268)(226, 302)(228, 304)(229, 305)(232, 252)(233, 303)(234, 306)(236, 283)(242, 313)(244, 307)(246, 286)(247, 279)(248, 317)(249, 319)(258, 325)(261, 328)(263, 331)(265, 333)(266, 334)(267, 335)(272, 338)(273, 339)(276, 342)(277, 343)(280, 324)(287, 344)(288, 345)(289, 347)(291, 348)(293, 349)(294, 350)(297, 352)(299, 318)(300, 354)(308, 361)(309, 356)(310, 358)(311, 357)(312, 362)(314, 353)(315, 355)(316, 332)(320, 366)(321, 367)(322, 368)(323, 369)(326, 371)(327, 372)(329, 374)(330, 375)(336, 376)(337, 377)(340, 378)(341, 379)(346, 382)(351, 370)(359, 365)(360, 381)(363, 383)(364, 380)(373, 384)
	local type(s) :: { ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2357
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 64 e = 192 f = 96
	degree seq :: [ 6^64 ]

E17.2357 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 4, 6})
Quotient :: regular
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^4, (F * T2)^2, (F * T1)^2, (T2 * T1^-1 * T2 * T1)^3, (T1^-1 * T2)^6, (T2 * T1 * T2 * T1^-2)^4, (T2 * T1^-1 * T2 * T1^-2 * T2 * T1 * T2 * T1^-2)^2, T2 * T1^-2 * T2 * T1^2 * T2 * T1^2 * T2 * T1 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 4)(3, 7, 13, 8)(6, 11, 20, 12)(9, 16, 28, 17)(10, 18, 31, 19)(14, 24, 41, 25)(15, 26, 44, 27)(21, 35, 59, 36)(22, 37, 62, 38)(23, 39, 65, 40)(29, 48, 78, 49)(30, 50, 80, 51)(32, 53, 84, 54)(33, 55, 87, 56)(34, 57, 90, 58)(42, 69, 106, 70)(43, 63, 97, 71)(45, 73, 111, 74)(46, 75, 94, 60)(47, 76, 114, 77)(52, 82, 121, 83)(61, 88, 128, 95)(64, 98, 125, 85)(66, 100, 145, 101)(67, 102, 148, 103)(68, 104, 151, 105)(72, 109, 157, 110)(79, 89, 129, 118)(81, 120, 126, 86)(91, 131, 189, 132)(92, 133, 192, 134)(93, 135, 195, 136)(96, 139, 200, 140)(99, 143, 205, 144)(107, 149, 212, 155)(108, 156, 209, 146)(112, 150, 213, 161)(113, 162, 210, 147)(115, 164, 232, 165)(116, 166, 233, 167)(117, 168, 236, 169)(119, 171, 239, 172)(122, 175, 244, 176)(123, 177, 247, 178)(124, 179, 250, 180)(127, 183, 255, 184)(130, 187, 260, 188)(137, 193, 267, 198)(138, 199, 264, 190)(141, 194, 268, 203)(142, 204, 265, 191)(152, 215, 257, 216)(153, 217, 252, 201)(154, 218, 294, 219)(158, 223, 256, 197)(159, 224, 251, 225)(160, 226, 302, 227)(163, 230, 306, 231)(170, 234, 309, 238)(173, 235, 310, 241)(174, 242, 315, 243)(181, 248, 322, 253)(182, 254, 319, 245)(185, 249, 323, 258)(186, 259, 320, 246)(196, 270, 240, 271)(202, 275, 237, 276)(206, 280, 324, 281)(207, 282, 327, 283)(208, 284, 318, 266)(211, 287, 321, 263)(214, 290, 316, 291)(220, 296, 329, 292)(221, 297, 328, 293)(222, 298, 317, 299)(228, 300, 326, 304)(229, 301, 325, 305)(261, 331, 311, 332)(262, 333, 313, 334)(269, 339, 307, 340)(272, 343, 295, 341)(273, 344, 314, 342)(274, 345, 308, 346)(277, 347, 303, 349)(278, 348, 312, 350)(279, 330, 368, 351)(285, 354, 377, 356)(286, 357, 381, 352)(288, 355, 373, 336)(289, 335, 375, 353)(337, 376, 359, 370)(338, 369, 364, 374)(358, 372, 365, 382)(360, 371, 363, 378)(361, 384, 367, 379)(362, 383, 366, 380)
	L = (1, 3)(2, 6)(4, 9)(5, 10)(7, 14)(8, 15)(11, 21)(12, 22)(13, 23)(16, 29)(17, 30)(18, 32)(19, 33)(20, 34)(24, 42)(25, 43)(26, 45)(27, 46)(28, 47)(31, 52)(35, 60)(36, 61)(37, 63)(38, 64)(39, 66)(40, 67)(41, 68)(44, 72)(48, 79)(49, 74)(50, 81)(51, 69)(53, 85)(54, 86)(55, 88)(56, 89)(57, 91)(58, 92)(59, 93)(62, 96)(65, 99)(70, 107)(71, 108)(73, 112)(75, 113)(76, 115)(77, 116)(78, 117)(80, 119)(82, 122)(83, 123)(84, 124)(87, 127)(90, 130)(94, 137)(95, 138)(97, 141)(98, 142)(100, 146)(101, 147)(102, 149)(103, 150)(104, 152)(105, 153)(106, 154)(109, 158)(110, 159)(111, 160)(114, 163)(118, 170)(120, 173)(121, 174)(125, 181)(126, 182)(128, 185)(129, 186)(131, 190)(132, 191)(133, 193)(134, 194)(135, 196)(136, 197)(139, 201)(140, 202)(143, 206)(144, 207)(145, 208)(148, 211)(151, 214)(155, 220)(156, 221)(157, 222)(161, 228)(162, 229)(164, 227)(165, 219)(166, 234)(167, 235)(168, 237)(169, 223)(171, 217)(172, 240)(175, 245)(176, 246)(177, 248)(178, 249)(179, 251)(180, 252)(183, 256)(184, 257)(187, 261)(188, 262)(189, 263)(192, 266)(195, 269)(198, 272)(199, 273)(200, 274)(203, 277)(204, 278)(205, 279)(209, 285)(210, 286)(212, 288)(213, 289)(215, 292)(216, 293)(218, 295)(224, 300)(225, 301)(226, 303)(230, 307)(231, 308)(232, 287)(233, 284)(236, 311)(238, 312)(239, 313)(241, 314)(242, 316)(243, 317)(244, 318)(247, 321)(250, 324)(253, 325)(254, 326)(255, 327)(258, 328)(259, 329)(260, 330)(264, 335)(265, 336)(267, 337)(268, 338)(270, 341)(271, 342)(275, 347)(276, 348)(280, 352)(281, 353)(282, 354)(283, 355)(290, 358)(291, 359)(294, 360)(296, 361)(297, 362)(298, 363)(299, 364)(302, 365)(304, 366)(305, 367)(306, 351)(309, 357)(310, 356)(315, 368)(319, 369)(320, 370)(322, 371)(323, 372)(331, 373)(332, 374)(333, 375)(334, 376)(339, 377)(340, 378)(343, 379)(344, 380)(345, 381)(346, 382)(349, 383)(350, 384)
	local type(s) :: { ( 6^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2356
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 96 e = 192 f = 64
	degree seq :: [ 4^96 ]

E17.2358 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^6, (T1 * T2^-1 * T1 * T2)^3, T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 ]
Map:: polytopal
	R = (1, 3, 8, 4)(2, 5, 11, 6)(7, 13, 24, 14)(9, 16, 29, 17)(10, 18, 32, 19)(12, 21, 37, 22)(15, 26, 45, 27)(20, 34, 58, 35)(23, 39, 65, 40)(25, 42, 69, 43)(28, 47, 77, 48)(30, 50, 81, 51)(31, 52, 82, 53)(33, 55, 86, 56)(36, 60, 94, 61)(38, 63, 98, 64)(41, 67, 103, 68)(44, 71, 108, 72)(46, 74, 112, 75)(49, 78, 117, 79)(54, 84, 125, 85)(57, 88, 130, 89)(59, 91, 134, 92)(62, 95, 139, 96)(66, 100, 145, 101)(70, 106, 155, 107)(73, 110, 159, 111)(76, 113, 162, 114)(80, 119, 157, 109)(83, 122, 176, 123)(87, 128, 186, 129)(90, 132, 190, 133)(93, 135, 193, 136)(97, 141, 188, 131)(99, 143, 206, 144)(102, 147, 210, 148)(104, 150, 214, 151)(105, 152, 215, 153)(115, 164, 233, 165)(116, 166, 234, 167)(118, 169, 237, 170)(120, 172, 240, 173)(121, 174, 243, 175)(124, 178, 247, 179)(126, 181, 251, 182)(127, 183, 252, 184)(137, 195, 270, 196)(138, 197, 271, 198)(140, 200, 274, 201)(142, 203, 277, 204)(146, 208, 285, 209)(149, 212, 288, 213)(154, 217, 286, 211)(156, 219, 296, 220)(158, 222, 299, 223)(160, 225, 303, 226)(161, 227, 304, 228)(163, 230, 306, 231)(168, 235, 310, 236)(171, 238, 312, 239)(177, 245, 321, 246)(180, 249, 324, 250)(185, 254, 322, 248)(187, 256, 332, 257)(189, 259, 335, 260)(191, 262, 339, 263)(192, 264, 340, 265)(194, 267, 342, 268)(199, 272, 346, 273)(202, 275, 348, 276)(205, 279, 241, 280)(207, 282, 354, 283)(216, 291, 232, 292)(218, 294, 364, 295)(221, 297, 365, 298)(224, 301, 367, 302)(229, 305, 366, 300)(242, 315, 278, 316)(244, 318, 371, 319)(253, 327, 269, 328)(255, 330, 381, 331)(258, 333, 382, 334)(261, 337, 384, 338)(266, 341, 383, 336)(281, 352, 309, 353)(284, 355, 313, 351)(287, 356, 308, 357)(289, 358, 314, 359)(290, 360, 311, 361)(293, 362, 307, 363)(317, 369, 345, 370)(320, 372, 349, 368)(323, 373, 344, 374)(325, 375, 350, 376)(326, 377, 347, 378)(329, 379, 343, 380)(385, 386)(387, 391)(388, 393)(389, 394)(390, 396)(392, 399)(395, 404)(397, 407)(398, 409)(400, 412)(401, 414)(402, 415)(403, 417)(405, 420)(406, 422)(408, 425)(410, 428)(411, 430)(413, 433)(416, 438)(418, 441)(419, 443)(421, 446)(423, 448)(424, 450)(426, 439)(427, 454)(429, 457)(431, 460)(432, 445)(434, 464)(435, 436)(437, 467)(440, 471)(442, 474)(444, 477)(447, 481)(449, 483)(451, 486)(452, 488)(453, 489)(455, 491)(456, 493)(458, 484)(459, 497)(461, 499)(462, 500)(463, 502)(465, 504)(466, 505)(468, 508)(469, 510)(470, 511)(472, 513)(473, 515)(475, 506)(476, 519)(478, 521)(479, 522)(480, 524)(482, 526)(485, 530)(487, 533)(490, 538)(492, 540)(494, 542)(495, 544)(496, 545)(498, 547)(501, 552)(503, 555)(507, 561)(509, 564)(512, 569)(514, 571)(516, 573)(517, 575)(518, 576)(520, 578)(523, 583)(525, 586)(527, 589)(528, 582)(529, 591)(531, 593)(532, 595)(534, 587)(535, 567)(536, 566)(537, 600)(539, 602)(541, 605)(543, 608)(546, 613)(548, 616)(549, 581)(550, 580)(551, 559)(553, 614)(554, 622)(556, 565)(557, 625)(558, 626)(560, 628)(562, 630)(563, 632)(568, 637)(570, 639)(572, 642)(574, 645)(577, 650)(579, 653)(584, 651)(585, 659)(588, 662)(590, 665)(592, 668)(594, 649)(596, 671)(597, 673)(598, 641)(599, 674)(601, 677)(603, 658)(604, 635)(606, 682)(607, 684)(609, 678)(610, 666)(611, 655)(612, 631)(615, 691)(617, 692)(618, 648)(619, 693)(620, 695)(621, 640)(623, 697)(624, 698)(627, 701)(629, 704)(633, 707)(634, 709)(636, 710)(638, 713)(643, 718)(644, 720)(646, 714)(647, 702)(652, 727)(654, 728)(656, 729)(657, 731)(660, 733)(661, 734)(663, 699)(664, 735)(667, 706)(669, 725)(670, 703)(672, 721)(675, 711)(676, 746)(679, 732)(680, 719)(681, 726)(683, 716)(685, 708)(686, 730)(687, 724)(688, 723)(689, 705)(690, 717)(694, 722)(696, 715)(700, 752)(712, 763)(736, 765)(737, 754)(738, 757)(739, 764)(740, 755)(741, 762)(742, 767)(743, 760)(744, 766)(745, 758)(747, 756)(748, 753)(749, 761)(750, 759)(751, 768)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 12, 12 ), ( 12^4 ) }
Outer automorphisms :: reflexible
Dual of E17.2362
Transitivity :: ET+
Graph:: simple bipartite
	v = 288 e = 384 f = 64
	degree seq :: [ 2^192, 4^96 ]

E17.2359 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, T1^4, (F * T2)^2, T2^6, T1^-2 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2, (T2 * T1^-1 * T2)^4, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 10, 24, 14, 5)(2, 7, 17, 37, 20, 8)(4, 12, 27, 46, 22, 9)(6, 15, 32, 63, 35, 16)(11, 26, 52, 91, 48, 23)(13, 29, 57, 106, 60, 30)(18, 39, 74, 129, 70, 36)(19, 40, 76, 139, 79, 41)(21, 43, 81, 147, 84, 44)(25, 51, 95, 165, 93, 49)(28, 56, 103, 176, 101, 54)(31, 50, 94, 166, 113, 61)(33, 65, 119, 194, 115, 62)(34, 66, 121, 203, 124, 67)(38, 73, 133, 218, 131, 71)(42, 72, 132, 219, 146, 80)(45, 85, 152, 247, 155, 86)(47, 88, 122, 204, 158, 89)(53, 99, 173, 270, 171, 97)(55, 102, 177, 253, 156, 87)(58, 108, 185, 193, 114, 105)(59, 109, 187, 288, 190, 110)(64, 118, 198, 300, 196, 116)(68, 117, 197, 301, 209, 125)(69, 126, 82, 148, 211, 127)(75, 137, 226, 334, 224, 135)(77, 141, 231, 175, 100, 138)(78, 142, 233, 344, 236, 143)(83, 149, 241, 352, 244, 150)(90, 159, 257, 358, 260, 160)(92, 162, 242, 333, 223, 163)(96, 169, 267, 339, 266, 168)(98, 172, 111, 183, 261, 161)(104, 181, 281, 361, 280, 179)(107, 184, 285, 367, 284, 182)(112, 191, 292, 342, 294, 192)(120, 202, 308, 373, 306, 200)(123, 205, 312, 374, 315, 206)(128, 212, 321, 378, 324, 213)(130, 215, 188, 271, 305, 216)(134, 222, 331, 259, 330, 221)(136, 225, 144, 229, 325, 214)(140, 230, 341, 384, 340, 228)(145, 237, 348, 258, 350, 238)(151, 239, 351, 276, 180, 245)(153, 249, 313, 269, 170, 246)(154, 250, 354, 286, 355, 251)(157, 254, 186, 287, 357, 255)(164, 262, 360, 370, 302, 263)(167, 265, 299, 369, 362, 264)(174, 274, 314, 293, 365, 272)(178, 278, 359, 283, 366, 277)(189, 289, 363, 268, 309, 290)(195, 297, 234, 335, 279, 298)(199, 304, 372, 323, 371, 303)(201, 307, 207, 310, 368, 296)(208, 316, 375, 322, 376, 317)(210, 318, 232, 343, 377, 319)(217, 326, 379, 353, 248, 327)(220, 329, 252, 356, 380, 328)(227, 338, 243, 349, 383, 336)(235, 345, 381, 332, 282, 346)(240, 347, 382, 337, 275, 320)(256, 311, 291, 364, 273, 295)(385, 386, 390, 388)(387, 393, 405, 395)(389, 397, 402, 391)(392, 403, 417, 399)(394, 407, 431, 409)(396, 400, 418, 412)(398, 415, 442, 413)(401, 420, 453, 422)(404, 426, 461, 424)(406, 429, 466, 427)(408, 433, 476, 434)(410, 428, 467, 437)(411, 438, 484, 439)(414, 443, 459, 423)(416, 446, 498, 448)(419, 452, 506, 450)(421, 455, 514, 456)(425, 462, 504, 449)(430, 471, 537, 469)(432, 474, 505, 472)(435, 473, 541, 480)(436, 481, 554, 482)(440, 451, 507, 488)(441, 489, 499, 491)(444, 495, 572, 493)(445, 496, 570, 492)(447, 500, 579, 501)(454, 512, 465, 510)(457, 511, 594, 518)(458, 519, 607, 520)(460, 522, 485, 524)(463, 528, 618, 526)(464, 529, 616, 525)(468, 535, 626, 533)(470, 538, 624, 532)(475, 545, 642, 543)(477, 548, 625, 546)(478, 547, 608, 551)(479, 552, 621, 530)(483, 534, 627, 558)(486, 559, 659, 562)(487, 563, 663, 564)(490, 566, 667, 567)(494, 573, 611, 521)(497, 561, 661, 575)(502, 577, 679, 583)(503, 584, 689, 585)(508, 591, 697, 589)(509, 592, 695, 588)(513, 598, 706, 596)(515, 601, 571, 599)(516, 600, 690, 604)(517, 605, 700, 593)(523, 612, 723, 613)(527, 619, 693, 586)(531, 597, 707, 623)(536, 630, 555, 632)(539, 582, 687, 634)(540, 636, 696, 633)(542, 640, 569, 638)(544, 643, 694, 587)(549, 603, 712, 646)(550, 648, 740, 637)(553, 639, 692, 652)(556, 653, 691, 655)(557, 656, 688, 657)(560, 660, 726, 614)(565, 590, 698, 666)(568, 578, 680, 670)(574, 675, 701, 673)(576, 677, 699, 671)(580, 683, 617, 681)(581, 682, 664, 686)(595, 704, 615, 702)(602, 685, 754, 710)(606, 703, 665, 716)(609, 717, 629, 719)(610, 720, 662, 721)(620, 731, 635, 729)(622, 733, 628, 727)(631, 737, 753, 684)(641, 732, 650, 724)(644, 705, 759, 714)(645, 743, 767, 734)(647, 745, 761, 736)(649, 718, 766, 728)(651, 747, 760, 709)(654, 748, 672, 711)(658, 722, 674, 730)(668, 725, 676, 750)(669, 738, 755, 708)(678, 735, 756, 749)(713, 757, 741, 758)(715, 765, 739, 752)(742, 768, 751, 762)(744, 764, 746, 763)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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) :: { ( 4^4 ), ( 4^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2363
Transitivity :: ET+
Graph:: simple bipartite
	v = 160 e = 384 f = 192
	degree seq :: [ 4^96, 6^64 ]

E17.2360 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 4, 6})
Quotient :: edge
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T1 * T2 * T1^-1 * T2)^3, T1^-2 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^2 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 17)(10, 21)(11, 22)(13, 26)(14, 27)(15, 30)(18, 34)(19, 36)(20, 31)(23, 43)(24, 44)(25, 47)(28, 50)(29, 51)(32, 55)(33, 58)(35, 62)(37, 65)(38, 67)(39, 63)(40, 70)(41, 71)(42, 74)(45, 77)(46, 78)(48, 81)(49, 84)(52, 90)(53, 91)(54, 94)(56, 95)(57, 96)(59, 100)(60, 97)(61, 102)(64, 98)(66, 110)(68, 112)(69, 114)(72, 117)(73, 118)(75, 121)(76, 124)(79, 130)(80, 131)(82, 133)(83, 134)(85, 137)(86, 135)(87, 140)(88, 141)(89, 144)(92, 147)(93, 148)(99, 157)(101, 158)(103, 155)(104, 162)(105, 165)(106, 152)(107, 146)(108, 149)(109, 168)(111, 150)(113, 174)(115, 177)(116, 180)(119, 186)(120, 187)(122, 189)(123, 190)(125, 193)(126, 191)(127, 196)(128, 197)(129, 200)(132, 202)(136, 207)(138, 208)(139, 209)(142, 212)(143, 213)(145, 216)(151, 225)(153, 227)(154, 230)(156, 231)(159, 235)(160, 217)(161, 237)(163, 239)(164, 240)(166, 219)(167, 243)(169, 223)(170, 245)(171, 220)(172, 238)(173, 241)(175, 250)(176, 251)(178, 253)(179, 254)(181, 257)(182, 255)(183, 259)(184, 260)(185, 262)(188, 264)(192, 269)(194, 270)(195, 271)(198, 274)(199, 275)(201, 278)(203, 281)(204, 282)(205, 284)(206, 285)(210, 290)(211, 292)(214, 295)(215, 296)(218, 256)(221, 298)(222, 301)(224, 268)(226, 302)(228, 304)(229, 305)(232, 252)(233, 303)(234, 306)(236, 283)(242, 313)(244, 307)(246, 286)(247, 279)(248, 317)(249, 319)(258, 325)(261, 328)(263, 331)(265, 333)(266, 334)(267, 335)(272, 338)(273, 339)(276, 342)(277, 343)(280, 324)(287, 344)(288, 345)(289, 347)(291, 348)(293, 349)(294, 350)(297, 352)(299, 318)(300, 354)(308, 361)(309, 356)(310, 358)(311, 357)(312, 362)(314, 353)(315, 355)(316, 332)(320, 366)(321, 367)(322, 368)(323, 369)(326, 371)(327, 372)(329, 374)(330, 375)(336, 376)(337, 377)(340, 378)(341, 379)(346, 382)(351, 370)(359, 365)(360, 381)(363, 383)(364, 380)(373, 384)(385, 386, 389, 395, 394, 388)(387, 391, 399, 413, 402, 392)(390, 397, 409, 430, 412, 398)(393, 403, 419, 445, 421, 404)(396, 407, 426, 457, 429, 408)(400, 415, 438, 477, 440, 416)(401, 417, 441, 466, 432, 410)(405, 422, 450, 493, 452, 423)(406, 424, 453, 497, 456, 425)(411, 433, 467, 506, 459, 427)(414, 436, 473, 527, 476, 437)(418, 443, 483, 540, 485, 444)(420, 447, 489, 548, 490, 448)(428, 460, 507, 562, 499, 454)(431, 463, 513, 583, 516, 464)(434, 469, 520, 590, 522, 470)(435, 471, 523, 558, 526, 472)(439, 468, 519, 589, 529, 474)(442, 481, 538, 613, 539, 482)(446, 487, 545, 620, 547, 488)(449, 491, 550, 626, 551, 492)(451, 455, 500, 563, 555, 495)(458, 503, 569, 645, 572, 504)(461, 509, 576, 652, 578, 510)(462, 511, 579, 552, 582, 512)(465, 508, 575, 651, 585, 514)(475, 530, 601, 675, 594, 524)(478, 533, 606, 684, 607, 534)(479, 535, 608, 667, 588, 518)(480, 536, 610, 669, 612, 537)(484, 525, 595, 656, 580, 515)(486, 543, 568, 502, 567, 544)(494, 553, 628, 688, 630, 554)(496, 556, 631, 700, 632, 557)(498, 559, 633, 702, 636, 560)(501, 565, 640, 708, 642, 566)(505, 564, 639, 707, 647, 570)(517, 587, 664, 597, 650, 574)(521, 581, 657, 710, 643, 571)(528, 598, 678, 720, 654, 599)(531, 602, 670, 591, 648, 603)(532, 604, 681, 615, 683, 605)(541, 586, 663, 623, 653, 616)(542, 617, 691, 744, 692, 618)(546, 622, 655, 721, 693, 619)(549, 625, 696, 704, 634, 561)(573, 649, 716, 659, 706, 638)(577, 644, 711, 677, 596, 635)(584, 660, 725, 754, 709, 661)(592, 671, 621, 694, 730, 672)(593, 673, 724, 658, 629, 641)(600, 676, 733, 753, 735, 679)(609, 682, 737, 751, 718, 680)(611, 687, 736, 752, 727, 665)(614, 690, 743, 750, 731, 674)(624, 637, 705, 697, 712, 695)(627, 698, 703, 749, 747, 699)(646, 713, 757, 748, 701, 714)(662, 723, 762, 746, 764, 726)(666, 728, 686, 741, 759, 717)(668, 729, 765, 738, 761, 722)(685, 739, 758, 715, 756, 740)(689, 732, 755, 719, 760, 742)(734, 763, 768, 767, 745, 766)
	L = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(193, 577)(194, 578)(195, 579)(196, 580)(197, 581)(198, 582)(199, 583)(200, 584)(201, 585)(202, 586)(203, 587)(204, 588)(205, 589)(206, 590)(207, 591)(208, 592)(209, 593)(210, 594)(211, 595)(212, 596)(213, 597)(214, 598)(215, 599)(216, 600)(217, 601)(218, 602)(219, 603)(220, 604)(221, 605)(222, 606)(223, 607)(224, 608)(225, 609)(226, 610)(227, 611)(228, 612)(229, 613)(230, 614)(231, 615)(232, 616)(233, 617)(234, 618)(235, 619)(236, 620)(237, 621)(238, 622)(239, 623)(240, 624)(241, 625)(242, 626)(243, 627)(244, 628)(245, 629)(246, 630)(247, 631)(248, 632)(249, 633)(250, 634)(251, 635)(252, 636)(253, 637)(254, 638)(255, 639)(256, 640)(257, 641)(258, 642)(259, 643)(260, 644)(261, 645)(262, 646)(263, 647)(264, 648)(265, 649)(266, 650)(267, 651)(268, 652)(269, 653)(270, 654)(271, 655)(272, 656)(273, 657)(274, 658)(275, 659)(276, 660)(277, 661)(278, 662)(279, 663)(280, 664)(281, 665)(282, 666)(283, 667)(284, 668)(285, 669)(286, 670)(287, 671)(288, 672)(289, 673)(290, 674)(291, 675)(292, 676)(293, 677)(294, 678)(295, 679)(296, 680)(297, 681)(298, 682)(299, 683)(300, 684)(301, 685)(302, 686)(303, 687)(304, 688)(305, 689)(306, 690)(307, 691)(308, 692)(309, 693)(310, 694)(311, 695)(312, 696)(313, 697)(314, 698)(315, 699)(316, 700)(317, 701)(318, 702)(319, 703)(320, 704)(321, 705)(322, 706)(323, 707)(324, 708)(325, 709)(326, 710)(327, 711)(328, 712)(329, 713)(330, 714)(331, 715)(332, 716)(333, 717)(334, 718)(335, 719)(336, 720)(337, 721)(338, 722)(339, 723)(340, 724)(341, 725)(342, 726)(343, 727)(344, 728)(345, 729)(346, 730)(347, 731)(348, 732)(349, 733)(350, 734)(351, 735)(352, 736)(353, 737)(354, 738)(355, 739)(356, 740)(357, 741)(358, 742)(359, 743)(360, 744)(361, 745)(362, 746)(363, 747)(364, 748)(365, 749)(366, 750)(367, 751)(368, 752)(369, 753)(370, 754)(371, 755)(372, 756)(373, 757)(374, 758)(375, 759)(376, 760)(377, 761)(378, 762)(379, 763)(380, 764)(381, 765)(382, 766)(383, 767)(384, 768)
	local type(s) :: { ( 8, 8 ), ( 8^6 ) }
Outer automorphisms :: reflexible
Dual of E17.2361
Transitivity :: ET+
Graph:: simple bipartite
	v = 256 e = 384 f = 96
	degree seq :: [ 2^192, 6^64 ]

E17.2361 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^4, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^6, (T1 * T2^-1 * T1 * T2)^3, T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2^-1 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2^-1 * T1, T2^-1 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^2 * T1 * T2 * T1 * T2^-2 * T1 * T2 * T1 * T2^-1 ]
Map::
	R = (1, 385, 3, 387, 8, 392, 4, 388)(2, 386, 5, 389, 11, 395, 6, 390)(7, 391, 13, 397, 24, 408, 14, 398)(9, 393, 16, 400, 29, 413, 17, 401)(10, 394, 18, 402, 32, 416, 19, 403)(12, 396, 21, 405, 37, 421, 22, 406)(15, 399, 26, 410, 45, 429, 27, 411)(20, 404, 34, 418, 58, 442, 35, 419)(23, 407, 39, 423, 65, 449, 40, 424)(25, 409, 42, 426, 69, 453, 43, 427)(28, 412, 47, 431, 77, 461, 48, 432)(30, 414, 50, 434, 81, 465, 51, 435)(31, 415, 52, 436, 82, 466, 53, 437)(33, 417, 55, 439, 86, 470, 56, 440)(36, 420, 60, 444, 94, 478, 61, 445)(38, 422, 63, 447, 98, 482, 64, 448)(41, 425, 67, 451, 103, 487, 68, 452)(44, 428, 71, 455, 108, 492, 72, 456)(46, 430, 74, 458, 112, 496, 75, 459)(49, 433, 78, 462, 117, 501, 79, 463)(54, 438, 84, 468, 125, 509, 85, 469)(57, 441, 88, 472, 130, 514, 89, 473)(59, 443, 91, 475, 134, 518, 92, 476)(62, 446, 95, 479, 139, 523, 96, 480)(66, 450, 100, 484, 145, 529, 101, 485)(70, 454, 106, 490, 155, 539, 107, 491)(73, 457, 110, 494, 159, 543, 111, 495)(76, 460, 113, 497, 162, 546, 114, 498)(80, 464, 119, 503, 157, 541, 109, 493)(83, 467, 122, 506, 176, 560, 123, 507)(87, 471, 128, 512, 186, 570, 129, 513)(90, 474, 132, 516, 190, 574, 133, 517)(93, 477, 135, 519, 193, 577, 136, 520)(97, 481, 141, 525, 188, 572, 131, 515)(99, 483, 143, 527, 206, 590, 144, 528)(102, 486, 147, 531, 210, 594, 148, 532)(104, 488, 150, 534, 214, 598, 151, 535)(105, 489, 152, 536, 215, 599, 153, 537)(115, 499, 164, 548, 233, 617, 165, 549)(116, 500, 166, 550, 234, 618, 167, 551)(118, 502, 169, 553, 237, 621, 170, 554)(120, 504, 172, 556, 240, 624, 173, 557)(121, 505, 174, 558, 243, 627, 175, 559)(124, 508, 178, 562, 247, 631, 179, 563)(126, 510, 181, 565, 251, 635, 182, 566)(127, 511, 183, 567, 252, 636, 184, 568)(137, 521, 195, 579, 270, 654, 196, 580)(138, 522, 197, 581, 271, 655, 198, 582)(140, 524, 200, 584, 274, 658, 201, 585)(142, 526, 203, 587, 277, 661, 204, 588)(146, 530, 208, 592, 285, 669, 209, 593)(149, 533, 212, 596, 288, 672, 213, 597)(154, 538, 217, 601, 286, 670, 211, 595)(156, 540, 219, 603, 296, 680, 220, 604)(158, 542, 222, 606, 299, 683, 223, 607)(160, 544, 225, 609, 303, 687, 226, 610)(161, 545, 227, 611, 304, 688, 228, 612)(163, 547, 230, 614, 306, 690, 231, 615)(168, 552, 235, 619, 310, 694, 236, 620)(171, 555, 238, 622, 312, 696, 239, 623)(177, 561, 245, 629, 321, 705, 246, 630)(180, 564, 249, 633, 324, 708, 250, 634)(185, 569, 254, 638, 322, 706, 248, 632)(187, 571, 256, 640, 332, 716, 257, 641)(189, 573, 259, 643, 335, 719, 260, 644)(191, 575, 262, 646, 339, 723, 263, 647)(192, 576, 264, 648, 340, 724, 265, 649)(194, 578, 267, 651, 342, 726, 268, 652)(199, 583, 272, 656, 346, 730, 273, 657)(202, 586, 275, 659, 348, 732, 276, 660)(205, 589, 279, 663, 241, 625, 280, 664)(207, 591, 282, 666, 354, 738, 283, 667)(216, 600, 291, 675, 232, 616, 292, 676)(218, 602, 294, 678, 364, 748, 295, 679)(221, 605, 297, 681, 365, 749, 298, 682)(224, 608, 301, 685, 367, 751, 302, 686)(229, 613, 305, 689, 366, 750, 300, 684)(242, 626, 315, 699, 278, 662, 316, 700)(244, 628, 318, 702, 371, 755, 319, 703)(253, 637, 327, 711, 269, 653, 328, 712)(255, 639, 330, 714, 381, 765, 331, 715)(258, 642, 333, 717, 382, 766, 334, 718)(261, 645, 337, 721, 384, 768, 338, 722)(266, 650, 341, 725, 383, 767, 336, 720)(281, 665, 352, 736, 309, 693, 353, 737)(284, 668, 355, 739, 313, 697, 351, 735)(287, 671, 356, 740, 308, 692, 357, 741)(289, 673, 358, 742, 314, 698, 359, 743)(290, 674, 360, 744, 311, 695, 361, 745)(293, 677, 362, 746, 307, 691, 363, 747)(317, 701, 369, 753, 345, 729, 370, 754)(320, 704, 372, 756, 349, 733, 368, 752)(323, 707, 373, 757, 344, 728, 374, 758)(325, 709, 375, 759, 350, 734, 376, 760)(326, 710, 377, 761, 347, 731, 378, 762)(329, 713, 379, 763, 343, 727, 380, 764)
	L = (1, 386)(2, 385)(3, 391)(4, 393)(5, 394)(6, 396)(7, 387)(8, 399)(9, 388)(10, 389)(11, 404)(12, 390)(13, 407)(14, 409)(15, 392)(16, 412)(17, 414)(18, 415)(19, 417)(20, 395)(21, 420)(22, 422)(23, 397)(24, 425)(25, 398)(26, 428)(27, 430)(28, 400)(29, 433)(30, 401)(31, 402)(32, 438)(33, 403)(34, 441)(35, 443)(36, 405)(37, 446)(38, 406)(39, 448)(40, 450)(41, 408)(42, 439)(43, 454)(44, 410)(45, 457)(46, 411)(47, 460)(48, 445)(49, 413)(50, 464)(51, 436)(52, 435)(53, 467)(54, 416)(55, 426)(56, 471)(57, 418)(58, 474)(59, 419)(60, 477)(61, 432)(62, 421)(63, 481)(64, 423)(65, 483)(66, 424)(67, 486)(68, 488)(69, 489)(70, 427)(71, 491)(72, 493)(73, 429)(74, 484)(75, 497)(76, 431)(77, 499)(78, 500)(79, 502)(80, 434)(81, 504)(82, 505)(83, 437)(84, 508)(85, 510)(86, 511)(87, 440)(88, 513)(89, 515)(90, 442)(91, 506)(92, 519)(93, 444)(94, 521)(95, 522)(96, 524)(97, 447)(98, 526)(99, 449)(100, 458)(101, 530)(102, 451)(103, 533)(104, 452)(105, 453)(106, 538)(107, 455)(108, 540)(109, 456)(110, 542)(111, 544)(112, 545)(113, 459)(114, 547)(115, 461)(116, 462)(117, 552)(118, 463)(119, 555)(120, 465)(121, 466)(122, 475)(123, 561)(124, 468)(125, 564)(126, 469)(127, 470)(128, 569)(129, 472)(130, 571)(131, 473)(132, 573)(133, 575)(134, 576)(135, 476)(136, 578)(137, 478)(138, 479)(139, 583)(140, 480)(141, 586)(142, 482)(143, 589)(144, 582)(145, 591)(146, 485)(147, 593)(148, 595)(149, 487)(150, 587)(151, 567)(152, 566)(153, 600)(154, 490)(155, 602)(156, 492)(157, 605)(158, 494)(159, 608)(160, 495)(161, 496)(162, 613)(163, 498)(164, 616)(165, 581)(166, 580)(167, 559)(168, 501)(169, 614)(170, 622)(171, 503)(172, 565)(173, 625)(174, 626)(175, 551)(176, 628)(177, 507)(178, 630)(179, 632)(180, 509)(181, 556)(182, 536)(183, 535)(184, 637)(185, 512)(186, 639)(187, 514)(188, 642)(189, 516)(190, 645)(191, 517)(192, 518)(193, 650)(194, 520)(195, 653)(196, 550)(197, 549)(198, 528)(199, 523)(200, 651)(201, 659)(202, 525)(203, 534)(204, 662)(205, 527)(206, 665)(207, 529)(208, 668)(209, 531)(210, 649)(211, 532)(212, 671)(213, 673)(214, 641)(215, 674)(216, 537)(217, 677)(218, 539)(219, 658)(220, 635)(221, 541)(222, 682)(223, 684)(224, 543)(225, 678)(226, 666)(227, 655)(228, 631)(229, 546)(230, 553)(231, 691)(232, 548)(233, 692)(234, 648)(235, 693)(236, 695)(237, 640)(238, 554)(239, 697)(240, 698)(241, 557)(242, 558)(243, 701)(244, 560)(245, 704)(246, 562)(247, 612)(248, 563)(249, 707)(250, 709)(251, 604)(252, 710)(253, 568)(254, 713)(255, 570)(256, 621)(257, 598)(258, 572)(259, 718)(260, 720)(261, 574)(262, 714)(263, 702)(264, 618)(265, 594)(266, 577)(267, 584)(268, 727)(269, 579)(270, 728)(271, 611)(272, 729)(273, 731)(274, 603)(275, 585)(276, 733)(277, 734)(278, 588)(279, 699)(280, 735)(281, 590)(282, 610)(283, 706)(284, 592)(285, 725)(286, 703)(287, 596)(288, 721)(289, 597)(290, 599)(291, 711)(292, 746)(293, 601)(294, 609)(295, 732)(296, 719)(297, 726)(298, 606)(299, 716)(300, 607)(301, 708)(302, 730)(303, 724)(304, 723)(305, 705)(306, 717)(307, 615)(308, 617)(309, 619)(310, 722)(311, 620)(312, 715)(313, 623)(314, 624)(315, 663)(316, 752)(317, 627)(318, 647)(319, 670)(320, 629)(321, 689)(322, 667)(323, 633)(324, 685)(325, 634)(326, 636)(327, 675)(328, 763)(329, 638)(330, 646)(331, 696)(332, 683)(333, 690)(334, 643)(335, 680)(336, 644)(337, 672)(338, 694)(339, 688)(340, 687)(341, 669)(342, 681)(343, 652)(344, 654)(345, 656)(346, 686)(347, 657)(348, 679)(349, 660)(350, 661)(351, 664)(352, 765)(353, 754)(354, 757)(355, 764)(356, 755)(357, 762)(358, 767)(359, 760)(360, 766)(361, 758)(362, 676)(363, 756)(364, 753)(365, 761)(366, 759)(367, 768)(368, 700)(369, 748)(370, 737)(371, 740)(372, 747)(373, 738)(374, 745)(375, 750)(376, 743)(377, 749)(378, 741)(379, 712)(380, 739)(381, 736)(382, 744)(383, 742)(384, 751)
	local type(s) :: { ( 2, 6, 2, 6, 2, 6, 2, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2360
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 96 e = 384 f = 256
	degree seq :: [ 8^96 ]

E17.2362 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ F^2, (T1 * T2)^2, (F * T1)^2, T1^4, (F * T2)^2, T2^6, T1^-2 * T2^-1 * T1 * T2 * T1^-1 * T2^-2 * T1^-2 * T2^-2, (T2 * T1^-1 * T2)^4, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2 * T1^-1 * T2^3 * T1^-1 * T2 * T1^-1, T1^-1 * T2^-1 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-2 * T1 * T2^-1 * T1^-1 * T2 * T1^-1, T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2^-1 * T1 * T2^-1 * T1 * T2^-1 * T1 * T2^-2 * T1^-2, T2 * T1^-1 * T2^-2 * T1 * T2^-1 * T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^-2 * T1^-1 ]
Map::
	R = (1, 385, 3, 387, 10, 394, 24, 408, 14, 398, 5, 389)(2, 386, 7, 391, 17, 401, 37, 421, 20, 404, 8, 392)(4, 388, 12, 396, 27, 411, 46, 430, 22, 406, 9, 393)(6, 390, 15, 399, 32, 416, 63, 447, 35, 419, 16, 400)(11, 395, 26, 410, 52, 436, 91, 475, 48, 432, 23, 407)(13, 397, 29, 413, 57, 441, 106, 490, 60, 444, 30, 414)(18, 402, 39, 423, 74, 458, 129, 513, 70, 454, 36, 420)(19, 403, 40, 424, 76, 460, 139, 523, 79, 463, 41, 425)(21, 405, 43, 427, 81, 465, 147, 531, 84, 468, 44, 428)(25, 409, 51, 435, 95, 479, 165, 549, 93, 477, 49, 433)(28, 412, 56, 440, 103, 487, 176, 560, 101, 485, 54, 438)(31, 415, 50, 434, 94, 478, 166, 550, 113, 497, 61, 445)(33, 417, 65, 449, 119, 503, 194, 578, 115, 499, 62, 446)(34, 418, 66, 450, 121, 505, 203, 587, 124, 508, 67, 451)(38, 422, 73, 457, 133, 517, 218, 602, 131, 515, 71, 455)(42, 426, 72, 456, 132, 516, 219, 603, 146, 530, 80, 464)(45, 429, 85, 469, 152, 536, 247, 631, 155, 539, 86, 470)(47, 431, 88, 472, 122, 506, 204, 588, 158, 542, 89, 473)(53, 437, 99, 483, 173, 557, 270, 654, 171, 555, 97, 481)(55, 439, 102, 486, 177, 561, 253, 637, 156, 540, 87, 471)(58, 442, 108, 492, 185, 569, 193, 577, 114, 498, 105, 489)(59, 443, 109, 493, 187, 571, 288, 672, 190, 574, 110, 494)(64, 448, 118, 502, 198, 582, 300, 684, 196, 580, 116, 500)(68, 452, 117, 501, 197, 581, 301, 685, 209, 593, 125, 509)(69, 453, 126, 510, 82, 466, 148, 532, 211, 595, 127, 511)(75, 459, 137, 521, 226, 610, 334, 718, 224, 608, 135, 519)(77, 461, 141, 525, 231, 615, 175, 559, 100, 484, 138, 522)(78, 462, 142, 526, 233, 617, 344, 728, 236, 620, 143, 527)(83, 467, 149, 533, 241, 625, 352, 736, 244, 628, 150, 534)(90, 474, 159, 543, 257, 641, 358, 742, 260, 644, 160, 544)(92, 476, 162, 546, 242, 626, 333, 717, 223, 607, 163, 547)(96, 480, 169, 553, 267, 651, 339, 723, 266, 650, 168, 552)(98, 482, 172, 556, 111, 495, 183, 567, 261, 645, 161, 545)(104, 488, 181, 565, 281, 665, 361, 745, 280, 664, 179, 563)(107, 491, 184, 568, 285, 669, 367, 751, 284, 668, 182, 566)(112, 496, 191, 575, 292, 676, 342, 726, 294, 678, 192, 576)(120, 504, 202, 586, 308, 692, 373, 757, 306, 690, 200, 584)(123, 507, 205, 589, 312, 696, 374, 758, 315, 699, 206, 590)(128, 512, 212, 596, 321, 705, 378, 762, 324, 708, 213, 597)(130, 514, 215, 599, 188, 572, 271, 655, 305, 689, 216, 600)(134, 518, 222, 606, 331, 715, 259, 643, 330, 714, 221, 605)(136, 520, 225, 609, 144, 528, 229, 613, 325, 709, 214, 598)(140, 524, 230, 614, 341, 725, 384, 768, 340, 724, 228, 612)(145, 529, 237, 621, 348, 732, 258, 642, 350, 734, 238, 622)(151, 535, 239, 623, 351, 735, 276, 660, 180, 564, 245, 629)(153, 537, 249, 633, 313, 697, 269, 653, 170, 554, 246, 630)(154, 538, 250, 634, 354, 738, 286, 670, 355, 739, 251, 635)(157, 541, 254, 638, 186, 570, 287, 671, 357, 741, 255, 639)(164, 548, 262, 646, 360, 744, 370, 754, 302, 686, 263, 647)(167, 551, 265, 649, 299, 683, 369, 753, 362, 746, 264, 648)(174, 558, 274, 658, 314, 698, 293, 677, 365, 749, 272, 656)(178, 562, 278, 662, 359, 743, 283, 667, 366, 750, 277, 661)(189, 573, 289, 673, 363, 747, 268, 652, 309, 693, 290, 674)(195, 579, 297, 681, 234, 618, 335, 719, 279, 663, 298, 682)(199, 583, 304, 688, 372, 756, 323, 707, 371, 755, 303, 687)(201, 585, 307, 691, 207, 591, 310, 694, 368, 752, 296, 680)(208, 592, 316, 700, 375, 759, 322, 706, 376, 760, 317, 701)(210, 594, 318, 702, 232, 616, 343, 727, 377, 761, 319, 703)(217, 601, 326, 710, 379, 763, 353, 737, 248, 632, 327, 711)(220, 604, 329, 713, 252, 636, 356, 740, 380, 764, 328, 712)(227, 611, 338, 722, 243, 627, 349, 733, 383, 767, 336, 720)(235, 619, 345, 729, 381, 765, 332, 716, 282, 666, 346, 730)(240, 624, 347, 731, 382, 766, 337, 721, 275, 659, 320, 704)(256, 640, 311, 695, 291, 675, 364, 748, 273, 657, 295, 679)
	L = (1, 386)(2, 390)(3, 393)(4, 385)(5, 397)(6, 388)(7, 389)(8, 403)(9, 405)(10, 407)(11, 387)(12, 400)(13, 402)(14, 415)(15, 392)(16, 418)(17, 420)(18, 391)(19, 417)(20, 426)(21, 395)(22, 429)(23, 431)(24, 433)(25, 394)(26, 428)(27, 438)(28, 396)(29, 398)(30, 443)(31, 442)(32, 446)(33, 399)(34, 412)(35, 452)(36, 453)(37, 455)(38, 401)(39, 414)(40, 404)(41, 462)(42, 461)(43, 406)(44, 467)(45, 466)(46, 471)(47, 409)(48, 474)(49, 476)(50, 408)(51, 473)(52, 481)(53, 410)(54, 484)(55, 411)(56, 451)(57, 489)(58, 413)(59, 459)(60, 495)(61, 496)(62, 498)(63, 500)(64, 416)(65, 425)(66, 419)(67, 507)(68, 506)(69, 422)(70, 512)(71, 514)(72, 421)(73, 511)(74, 519)(75, 423)(76, 522)(77, 424)(78, 504)(79, 528)(80, 529)(81, 510)(82, 427)(83, 437)(84, 535)(85, 430)(86, 538)(87, 537)(88, 432)(89, 541)(90, 505)(91, 545)(92, 434)(93, 548)(94, 547)(95, 552)(96, 435)(97, 554)(98, 436)(99, 534)(100, 439)(101, 524)(102, 559)(103, 563)(104, 440)(105, 499)(106, 566)(107, 441)(108, 445)(109, 444)(110, 573)(111, 572)(112, 570)(113, 561)(114, 448)(115, 491)(116, 579)(117, 447)(118, 577)(119, 584)(120, 449)(121, 472)(122, 450)(123, 488)(124, 591)(125, 592)(126, 454)(127, 594)(128, 465)(129, 598)(130, 456)(131, 601)(132, 600)(133, 605)(134, 457)(135, 607)(136, 458)(137, 494)(138, 485)(139, 612)(140, 460)(141, 464)(142, 463)(143, 619)(144, 618)(145, 616)(146, 479)(147, 597)(148, 470)(149, 468)(150, 627)(151, 626)(152, 630)(153, 469)(154, 624)(155, 582)(156, 636)(157, 480)(158, 640)(159, 475)(160, 643)(161, 642)(162, 477)(163, 608)(164, 625)(165, 603)(166, 648)(167, 478)(168, 621)(169, 639)(170, 482)(171, 632)(172, 653)(173, 656)(174, 483)(175, 659)(176, 660)(177, 661)(178, 486)(179, 663)(180, 487)(181, 590)(182, 667)(183, 490)(184, 578)(185, 638)(186, 492)(187, 599)(188, 493)(189, 611)(190, 675)(191, 497)(192, 677)(193, 679)(194, 680)(195, 501)(196, 683)(197, 682)(198, 687)(199, 502)(200, 689)(201, 503)(202, 527)(203, 544)(204, 509)(205, 508)(206, 698)(207, 697)(208, 695)(209, 517)(210, 518)(211, 704)(212, 513)(213, 707)(214, 706)(215, 515)(216, 690)(217, 571)(218, 685)(219, 712)(220, 516)(221, 700)(222, 703)(223, 520)(224, 551)(225, 717)(226, 720)(227, 521)(228, 723)(229, 523)(230, 560)(231, 702)(232, 525)(233, 681)(234, 526)(235, 693)(236, 731)(237, 530)(238, 733)(239, 531)(240, 532)(241, 546)(242, 533)(243, 558)(244, 727)(245, 719)(246, 555)(247, 737)(248, 536)(249, 540)(250, 539)(251, 729)(252, 696)(253, 550)(254, 542)(255, 692)(256, 569)(257, 732)(258, 543)(259, 694)(260, 705)(261, 743)(262, 549)(263, 745)(264, 740)(265, 718)(266, 724)(267, 747)(268, 553)(269, 691)(270, 748)(271, 556)(272, 688)(273, 557)(274, 722)(275, 562)(276, 726)(277, 575)(278, 721)(279, 564)(280, 686)(281, 716)(282, 565)(283, 567)(284, 725)(285, 738)(286, 568)(287, 576)(288, 711)(289, 574)(290, 730)(291, 701)(292, 750)(293, 699)(294, 735)(295, 583)(296, 670)(297, 580)(298, 664)(299, 617)(300, 631)(301, 754)(302, 581)(303, 634)(304, 657)(305, 585)(306, 604)(307, 655)(308, 652)(309, 586)(310, 587)(311, 588)(312, 633)(313, 589)(314, 666)(315, 671)(316, 593)(317, 673)(318, 595)(319, 665)(320, 615)(321, 759)(322, 596)(323, 623)(324, 669)(325, 651)(326, 602)(327, 654)(328, 646)(329, 757)(330, 644)(331, 765)(332, 606)(333, 629)(334, 766)(335, 609)(336, 662)(337, 610)(338, 674)(339, 613)(340, 641)(341, 676)(342, 614)(343, 622)(344, 649)(345, 620)(346, 658)(347, 635)(348, 650)(349, 628)(350, 645)(351, 756)(352, 647)(353, 753)(354, 755)(355, 752)(356, 637)(357, 758)(358, 768)(359, 767)(360, 764)(361, 761)(362, 763)(363, 760)(364, 672)(365, 678)(366, 668)(367, 762)(368, 715)(369, 684)(370, 710)(371, 708)(372, 749)(373, 741)(374, 713)(375, 714)(376, 709)(377, 736)(378, 742)(379, 744)(380, 746)(381, 739)(382, 728)(383, 734)(384, 751)
	local type(s) :: { ( 2, 4, 2, 4, 2, 4, 2, 4, 2, 4, 2, 4 ) }
Outer automorphisms :: reflexible
Dual of E17.2358
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 64 e = 384 f = 288
	degree seq :: [ 12^64 ]

E17.2363 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 4, 6})
Quotient :: loop
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, T1^6, (T2 * T1^-1)^4, (T1 * T2 * T1^-1 * T2)^3, T1^-2 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3 * T2 * T1^-1, T2 * T1^-3 * T2 * T1^3 * T2 * T1^-3 * T2 * T1^-3, T2 * T1^2 * T2 * T1 * T2 * T1^-3 * T2 * T1 * T2 * T1^2 * T2 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 385, 3, 387)(2, 386, 6, 390)(4, 388, 9, 393)(5, 389, 12, 396)(7, 391, 16, 400)(8, 392, 17, 401)(10, 394, 21, 405)(11, 395, 22, 406)(13, 397, 26, 410)(14, 398, 27, 411)(15, 399, 30, 414)(18, 402, 34, 418)(19, 403, 36, 420)(20, 404, 31, 415)(23, 407, 43, 427)(24, 408, 44, 428)(25, 409, 47, 431)(28, 412, 50, 434)(29, 413, 51, 435)(32, 416, 55, 439)(33, 417, 58, 442)(35, 419, 62, 446)(37, 421, 65, 449)(38, 422, 67, 451)(39, 423, 63, 447)(40, 424, 70, 454)(41, 425, 71, 455)(42, 426, 74, 458)(45, 429, 77, 461)(46, 430, 78, 462)(48, 432, 81, 465)(49, 433, 84, 468)(52, 436, 90, 474)(53, 437, 91, 475)(54, 438, 94, 478)(56, 440, 95, 479)(57, 441, 96, 480)(59, 443, 100, 484)(60, 444, 97, 481)(61, 445, 102, 486)(64, 448, 98, 482)(66, 450, 110, 494)(68, 452, 112, 496)(69, 453, 114, 498)(72, 456, 117, 501)(73, 457, 118, 502)(75, 459, 121, 505)(76, 460, 124, 508)(79, 463, 130, 514)(80, 464, 131, 515)(82, 466, 133, 517)(83, 467, 134, 518)(85, 469, 137, 521)(86, 470, 135, 519)(87, 471, 140, 524)(88, 472, 141, 525)(89, 473, 144, 528)(92, 476, 147, 531)(93, 477, 148, 532)(99, 483, 157, 541)(101, 485, 158, 542)(103, 487, 155, 539)(104, 488, 162, 546)(105, 489, 165, 549)(106, 490, 152, 536)(107, 491, 146, 530)(108, 492, 149, 533)(109, 493, 168, 552)(111, 495, 150, 534)(113, 497, 174, 558)(115, 499, 177, 561)(116, 500, 180, 564)(119, 503, 186, 570)(120, 504, 187, 571)(122, 506, 189, 573)(123, 507, 190, 574)(125, 509, 193, 577)(126, 510, 191, 575)(127, 511, 196, 580)(128, 512, 197, 581)(129, 513, 200, 584)(132, 516, 202, 586)(136, 520, 207, 591)(138, 522, 208, 592)(139, 523, 209, 593)(142, 526, 212, 596)(143, 527, 213, 597)(145, 529, 216, 600)(151, 535, 225, 609)(153, 537, 227, 611)(154, 538, 230, 614)(156, 540, 231, 615)(159, 543, 235, 619)(160, 544, 217, 601)(161, 545, 237, 621)(163, 547, 239, 623)(164, 548, 240, 624)(166, 550, 219, 603)(167, 551, 243, 627)(169, 553, 223, 607)(170, 554, 245, 629)(171, 555, 220, 604)(172, 556, 238, 622)(173, 557, 241, 625)(175, 559, 250, 634)(176, 560, 251, 635)(178, 562, 253, 637)(179, 563, 254, 638)(181, 565, 257, 641)(182, 566, 255, 639)(183, 567, 259, 643)(184, 568, 260, 644)(185, 569, 262, 646)(188, 572, 264, 648)(192, 576, 269, 653)(194, 578, 270, 654)(195, 579, 271, 655)(198, 582, 274, 658)(199, 583, 275, 659)(201, 585, 278, 662)(203, 587, 281, 665)(204, 588, 282, 666)(205, 589, 284, 668)(206, 590, 285, 669)(210, 594, 290, 674)(211, 595, 292, 676)(214, 598, 295, 679)(215, 599, 296, 680)(218, 602, 256, 640)(221, 605, 298, 682)(222, 606, 301, 685)(224, 608, 268, 652)(226, 610, 302, 686)(228, 612, 304, 688)(229, 613, 305, 689)(232, 616, 252, 636)(233, 617, 303, 687)(234, 618, 306, 690)(236, 620, 283, 667)(242, 626, 313, 697)(244, 628, 307, 691)(246, 630, 286, 670)(247, 631, 279, 663)(248, 632, 317, 701)(249, 633, 319, 703)(258, 642, 325, 709)(261, 645, 328, 712)(263, 647, 331, 715)(265, 649, 333, 717)(266, 650, 334, 718)(267, 651, 335, 719)(272, 656, 338, 722)(273, 657, 339, 723)(276, 660, 342, 726)(277, 661, 343, 727)(280, 664, 324, 708)(287, 671, 344, 728)(288, 672, 345, 729)(289, 673, 347, 731)(291, 675, 348, 732)(293, 677, 349, 733)(294, 678, 350, 734)(297, 681, 352, 736)(299, 683, 318, 702)(300, 684, 354, 738)(308, 692, 361, 745)(309, 693, 356, 740)(310, 694, 358, 742)(311, 695, 357, 741)(312, 696, 362, 746)(314, 698, 353, 737)(315, 699, 355, 739)(316, 700, 332, 716)(320, 704, 366, 750)(321, 705, 367, 751)(322, 706, 368, 752)(323, 707, 369, 753)(326, 710, 371, 755)(327, 711, 372, 756)(329, 713, 374, 758)(330, 714, 375, 759)(336, 720, 376, 760)(337, 721, 377, 761)(340, 724, 378, 762)(341, 725, 379, 763)(346, 730, 382, 766)(351, 735, 370, 754)(359, 743, 365, 749)(360, 744, 381, 765)(363, 747, 383, 767)(364, 748, 380, 764)(373, 757, 384, 768)
	L = (1, 386)(2, 389)(3, 391)(4, 385)(5, 395)(6, 397)(7, 399)(8, 387)(9, 403)(10, 388)(11, 394)(12, 407)(13, 409)(14, 390)(15, 413)(16, 415)(17, 417)(18, 392)(19, 419)(20, 393)(21, 422)(22, 424)(23, 426)(24, 396)(25, 430)(26, 401)(27, 433)(28, 398)(29, 402)(30, 436)(31, 438)(32, 400)(33, 441)(34, 443)(35, 445)(36, 447)(37, 404)(38, 450)(39, 405)(40, 453)(41, 406)(42, 457)(43, 411)(44, 460)(45, 408)(46, 412)(47, 463)(48, 410)(49, 467)(50, 469)(51, 471)(52, 473)(53, 414)(54, 477)(55, 468)(56, 416)(57, 466)(58, 481)(59, 483)(60, 418)(61, 421)(62, 487)(63, 489)(64, 420)(65, 491)(66, 493)(67, 455)(68, 423)(69, 497)(70, 428)(71, 500)(72, 425)(73, 429)(74, 503)(75, 427)(76, 507)(77, 509)(78, 511)(79, 513)(80, 431)(81, 508)(82, 432)(83, 506)(84, 519)(85, 520)(86, 434)(87, 523)(88, 435)(89, 527)(90, 439)(91, 530)(92, 437)(93, 440)(94, 533)(95, 535)(96, 536)(97, 538)(98, 442)(99, 540)(100, 525)(101, 444)(102, 543)(103, 545)(104, 446)(105, 548)(106, 448)(107, 550)(108, 449)(109, 452)(110, 553)(111, 451)(112, 556)(113, 456)(114, 559)(115, 454)(116, 563)(117, 565)(118, 567)(119, 569)(120, 458)(121, 564)(122, 459)(123, 562)(124, 575)(125, 576)(126, 461)(127, 579)(128, 462)(129, 583)(130, 465)(131, 484)(132, 464)(133, 587)(134, 479)(135, 589)(136, 590)(137, 581)(138, 470)(139, 558)(140, 475)(141, 595)(142, 472)(143, 476)(144, 598)(145, 474)(146, 601)(147, 602)(148, 604)(149, 606)(150, 478)(151, 608)(152, 610)(153, 480)(154, 613)(155, 482)(156, 485)(157, 586)(158, 617)(159, 568)(160, 486)(161, 620)(162, 622)(163, 488)(164, 490)(165, 625)(166, 626)(167, 492)(168, 582)(169, 628)(170, 494)(171, 495)(172, 631)(173, 496)(174, 526)(175, 633)(176, 498)(177, 549)(178, 499)(179, 555)(180, 639)(181, 640)(182, 501)(183, 544)(184, 502)(185, 645)(186, 505)(187, 521)(188, 504)(189, 649)(190, 517)(191, 651)(192, 652)(193, 644)(194, 510)(195, 552)(196, 515)(197, 657)(198, 512)(199, 516)(200, 660)(201, 514)(202, 663)(203, 664)(204, 518)(205, 529)(206, 522)(207, 648)(208, 671)(209, 673)(210, 524)(211, 656)(212, 635)(213, 650)(214, 678)(215, 528)(216, 676)(217, 675)(218, 670)(219, 531)(220, 681)(221, 532)(222, 684)(223, 534)(224, 667)(225, 682)(226, 669)(227, 687)(228, 537)(229, 539)(230, 690)(231, 683)(232, 541)(233, 691)(234, 542)(235, 546)(236, 547)(237, 694)(238, 655)(239, 653)(240, 637)(241, 696)(242, 551)(243, 698)(244, 688)(245, 641)(246, 554)(247, 700)(248, 557)(249, 702)(250, 561)(251, 577)(252, 560)(253, 705)(254, 573)(255, 707)(256, 708)(257, 593)(258, 566)(259, 571)(260, 711)(261, 572)(262, 713)(263, 570)(264, 603)(265, 716)(266, 574)(267, 585)(268, 578)(269, 616)(270, 599)(271, 721)(272, 580)(273, 710)(274, 629)(275, 706)(276, 725)(277, 584)(278, 723)(279, 623)(280, 597)(281, 611)(282, 728)(283, 588)(284, 729)(285, 612)(286, 591)(287, 621)(288, 592)(289, 724)(290, 614)(291, 594)(292, 733)(293, 596)(294, 720)(295, 600)(296, 609)(297, 615)(298, 737)(299, 605)(300, 607)(301, 739)(302, 741)(303, 736)(304, 630)(305, 732)(306, 743)(307, 744)(308, 618)(309, 619)(310, 730)(311, 624)(312, 704)(313, 712)(314, 703)(315, 627)(316, 632)(317, 714)(318, 636)(319, 749)(320, 634)(321, 697)(322, 638)(323, 647)(324, 642)(325, 661)(326, 643)(327, 677)(328, 695)(329, 757)(330, 646)(331, 756)(332, 659)(333, 666)(334, 680)(335, 760)(336, 654)(337, 693)(338, 668)(339, 762)(340, 658)(341, 754)(342, 662)(343, 665)(344, 686)(345, 765)(346, 672)(347, 674)(348, 755)(349, 753)(350, 763)(351, 679)(352, 752)(353, 751)(354, 761)(355, 758)(356, 685)(357, 759)(358, 689)(359, 750)(360, 692)(361, 766)(362, 764)(363, 699)(364, 701)(365, 747)(366, 731)(367, 718)(368, 727)(369, 735)(370, 709)(371, 719)(372, 740)(373, 748)(374, 715)(375, 717)(376, 742)(377, 722)(378, 746)(379, 768)(380, 726)(381, 738)(382, 734)(383, 745)(384, 767)
	local type(s) :: { ( 4, 6, 4, 6 ) }
Outer automorphisms :: reflexible
Dual of E17.2359
Transitivity :: ET+ VT+ AT
Graph:: simple bipartite
	v = 192 e = 384 f = 160
	degree seq :: [ 4^192 ]

E17.2364 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, Y2^4, (R * Y2 * Y3^-1)^2, (Y2 * Y1)^6, (Y1 * Y2^-1 * Y1 * Y2)^3, (Y3 * Y2^-1)^6, (Y2^-1 * Y1 * Y2 * Y1 * Y2^-1)^4, Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1, (Y2 * Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1)^2 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 10, 394)(6, 390, 12, 396)(8, 392, 15, 399)(11, 395, 20, 404)(13, 397, 23, 407)(14, 398, 25, 409)(16, 400, 28, 412)(17, 401, 30, 414)(18, 402, 31, 415)(19, 403, 33, 417)(21, 405, 36, 420)(22, 406, 38, 422)(24, 408, 41, 425)(26, 410, 44, 428)(27, 411, 46, 430)(29, 413, 49, 433)(32, 416, 54, 438)(34, 418, 57, 441)(35, 419, 59, 443)(37, 421, 62, 446)(39, 423, 64, 448)(40, 424, 66, 450)(42, 426, 55, 439)(43, 427, 70, 454)(45, 429, 73, 457)(47, 431, 76, 460)(48, 432, 61, 445)(50, 434, 80, 464)(51, 435, 52, 436)(53, 437, 83, 467)(56, 440, 87, 471)(58, 442, 90, 474)(60, 444, 93, 477)(63, 447, 97, 481)(65, 449, 99, 483)(67, 451, 102, 486)(68, 452, 104, 488)(69, 453, 105, 489)(71, 455, 107, 491)(72, 456, 109, 493)(74, 458, 100, 484)(75, 459, 113, 497)(77, 461, 115, 499)(78, 462, 116, 500)(79, 463, 118, 502)(81, 465, 120, 504)(82, 466, 121, 505)(84, 468, 124, 508)(85, 469, 126, 510)(86, 470, 127, 511)(88, 472, 129, 513)(89, 473, 131, 515)(91, 475, 122, 506)(92, 476, 135, 519)(94, 478, 137, 521)(95, 479, 138, 522)(96, 480, 140, 524)(98, 482, 142, 526)(101, 485, 146, 530)(103, 487, 149, 533)(106, 490, 154, 538)(108, 492, 156, 540)(110, 494, 158, 542)(111, 495, 160, 544)(112, 496, 161, 545)(114, 498, 163, 547)(117, 501, 168, 552)(119, 503, 171, 555)(123, 507, 177, 561)(125, 509, 180, 564)(128, 512, 185, 569)(130, 514, 187, 571)(132, 516, 189, 573)(133, 517, 191, 575)(134, 518, 192, 576)(136, 520, 194, 578)(139, 523, 199, 583)(141, 525, 202, 586)(143, 527, 205, 589)(144, 528, 198, 582)(145, 529, 207, 591)(147, 531, 209, 593)(148, 532, 211, 595)(150, 534, 203, 587)(151, 535, 183, 567)(152, 536, 182, 566)(153, 537, 216, 600)(155, 539, 218, 602)(157, 541, 221, 605)(159, 543, 224, 608)(162, 546, 229, 613)(164, 548, 232, 616)(165, 549, 197, 581)(166, 550, 196, 580)(167, 551, 175, 559)(169, 553, 230, 614)(170, 554, 238, 622)(172, 556, 181, 565)(173, 557, 241, 625)(174, 558, 242, 626)(176, 560, 244, 628)(178, 562, 246, 630)(179, 563, 248, 632)(184, 568, 253, 637)(186, 570, 255, 639)(188, 572, 258, 642)(190, 574, 261, 645)(193, 577, 266, 650)(195, 579, 269, 653)(200, 584, 267, 651)(201, 585, 275, 659)(204, 588, 278, 662)(206, 590, 281, 665)(208, 592, 284, 668)(210, 594, 265, 649)(212, 596, 287, 671)(213, 597, 289, 673)(214, 598, 257, 641)(215, 599, 290, 674)(217, 601, 293, 677)(219, 603, 274, 658)(220, 604, 251, 635)(222, 606, 298, 682)(223, 607, 300, 684)(225, 609, 294, 678)(226, 610, 282, 666)(227, 611, 271, 655)(228, 612, 247, 631)(231, 615, 307, 691)(233, 617, 308, 692)(234, 618, 264, 648)(235, 619, 309, 693)(236, 620, 311, 695)(237, 621, 256, 640)(239, 623, 313, 697)(240, 624, 314, 698)(243, 627, 317, 701)(245, 629, 320, 704)(249, 633, 323, 707)(250, 634, 325, 709)(252, 636, 326, 710)(254, 638, 329, 713)(259, 643, 334, 718)(260, 644, 336, 720)(262, 646, 330, 714)(263, 647, 318, 702)(268, 652, 343, 727)(270, 654, 344, 728)(272, 656, 345, 729)(273, 657, 347, 731)(276, 660, 349, 733)(277, 661, 350, 734)(279, 663, 315, 699)(280, 664, 351, 735)(283, 667, 322, 706)(285, 669, 341, 725)(286, 670, 319, 703)(288, 672, 337, 721)(291, 675, 327, 711)(292, 676, 362, 746)(295, 679, 348, 732)(296, 680, 335, 719)(297, 681, 342, 726)(299, 683, 332, 716)(301, 685, 324, 708)(302, 686, 346, 730)(303, 687, 340, 724)(304, 688, 339, 723)(305, 689, 321, 705)(306, 690, 333, 717)(310, 694, 338, 722)(312, 696, 331, 715)(316, 700, 368, 752)(328, 712, 379, 763)(352, 736, 381, 765)(353, 737, 370, 754)(354, 738, 373, 757)(355, 739, 380, 764)(356, 740, 371, 755)(357, 741, 378, 762)(358, 742, 383, 767)(359, 743, 376, 760)(360, 744, 382, 766)(361, 745, 374, 758)(363, 747, 372, 756)(364, 748, 369, 753)(365, 749, 377, 761)(366, 750, 375, 759)(367, 751, 384, 768)(769, 1153, 771, 1155, 776, 1160, 772, 1156)(770, 1154, 773, 1157, 779, 1163, 774, 1158)(775, 1159, 781, 1165, 792, 1176, 782, 1166)(777, 1161, 784, 1168, 797, 1181, 785, 1169)(778, 1162, 786, 1170, 800, 1184, 787, 1171)(780, 1164, 789, 1173, 805, 1189, 790, 1174)(783, 1167, 794, 1178, 813, 1197, 795, 1179)(788, 1172, 802, 1186, 826, 1210, 803, 1187)(791, 1175, 807, 1191, 833, 1217, 808, 1192)(793, 1177, 810, 1194, 837, 1221, 811, 1195)(796, 1180, 815, 1199, 845, 1229, 816, 1200)(798, 1182, 818, 1202, 849, 1233, 819, 1203)(799, 1183, 820, 1204, 850, 1234, 821, 1205)(801, 1185, 823, 1207, 854, 1238, 824, 1208)(804, 1188, 828, 1212, 862, 1246, 829, 1213)(806, 1190, 831, 1215, 866, 1250, 832, 1216)(809, 1193, 835, 1219, 871, 1255, 836, 1220)(812, 1196, 839, 1223, 876, 1260, 840, 1224)(814, 1198, 842, 1226, 880, 1264, 843, 1227)(817, 1201, 846, 1230, 885, 1269, 847, 1231)(822, 1206, 852, 1236, 893, 1277, 853, 1237)(825, 1209, 856, 1240, 898, 1282, 857, 1241)(827, 1211, 859, 1243, 902, 1286, 860, 1244)(830, 1214, 863, 1247, 907, 1291, 864, 1248)(834, 1218, 868, 1252, 913, 1297, 869, 1253)(838, 1222, 874, 1258, 923, 1307, 875, 1259)(841, 1225, 878, 1262, 927, 1311, 879, 1263)(844, 1228, 881, 1265, 930, 1314, 882, 1266)(848, 1232, 887, 1271, 925, 1309, 877, 1261)(851, 1235, 890, 1274, 944, 1328, 891, 1275)(855, 1239, 896, 1280, 954, 1338, 897, 1281)(858, 1242, 900, 1284, 958, 1342, 901, 1285)(861, 1245, 903, 1287, 961, 1345, 904, 1288)(865, 1249, 909, 1293, 956, 1340, 899, 1283)(867, 1251, 911, 1295, 974, 1358, 912, 1296)(870, 1254, 915, 1299, 978, 1362, 916, 1300)(872, 1256, 918, 1302, 982, 1366, 919, 1303)(873, 1257, 920, 1304, 983, 1367, 921, 1305)(883, 1267, 932, 1316, 1001, 1385, 933, 1317)(884, 1268, 934, 1318, 1002, 1386, 935, 1319)(886, 1270, 937, 1321, 1005, 1389, 938, 1322)(888, 1272, 940, 1324, 1008, 1392, 941, 1325)(889, 1273, 942, 1326, 1011, 1395, 943, 1327)(892, 1276, 946, 1330, 1015, 1399, 947, 1331)(894, 1278, 949, 1333, 1019, 1403, 950, 1334)(895, 1279, 951, 1335, 1020, 1404, 952, 1336)(905, 1289, 963, 1347, 1038, 1422, 964, 1348)(906, 1290, 965, 1349, 1039, 1423, 966, 1350)(908, 1292, 968, 1352, 1042, 1426, 969, 1353)(910, 1294, 971, 1355, 1045, 1429, 972, 1356)(914, 1298, 976, 1360, 1053, 1437, 977, 1361)(917, 1301, 980, 1364, 1056, 1440, 981, 1365)(922, 1306, 985, 1369, 1054, 1438, 979, 1363)(924, 1308, 987, 1371, 1064, 1448, 988, 1372)(926, 1310, 990, 1374, 1067, 1451, 991, 1375)(928, 1312, 993, 1377, 1071, 1455, 994, 1378)(929, 1313, 995, 1379, 1072, 1456, 996, 1380)(931, 1315, 998, 1382, 1074, 1458, 999, 1383)(936, 1320, 1003, 1387, 1078, 1462, 1004, 1388)(939, 1323, 1006, 1390, 1080, 1464, 1007, 1391)(945, 1329, 1013, 1397, 1089, 1473, 1014, 1398)(948, 1332, 1017, 1401, 1092, 1476, 1018, 1402)(953, 1337, 1022, 1406, 1090, 1474, 1016, 1400)(955, 1339, 1024, 1408, 1100, 1484, 1025, 1409)(957, 1341, 1027, 1411, 1103, 1487, 1028, 1412)(959, 1343, 1030, 1414, 1107, 1491, 1031, 1415)(960, 1344, 1032, 1416, 1108, 1492, 1033, 1417)(962, 1346, 1035, 1419, 1110, 1494, 1036, 1420)(967, 1351, 1040, 1424, 1114, 1498, 1041, 1425)(970, 1354, 1043, 1427, 1116, 1500, 1044, 1428)(973, 1357, 1047, 1431, 1009, 1393, 1048, 1432)(975, 1359, 1050, 1434, 1122, 1506, 1051, 1435)(984, 1368, 1059, 1443, 1000, 1384, 1060, 1444)(986, 1370, 1062, 1446, 1132, 1516, 1063, 1447)(989, 1373, 1065, 1449, 1133, 1517, 1066, 1450)(992, 1376, 1069, 1453, 1135, 1519, 1070, 1454)(997, 1381, 1073, 1457, 1134, 1518, 1068, 1452)(1010, 1394, 1083, 1467, 1046, 1430, 1084, 1468)(1012, 1396, 1086, 1470, 1139, 1523, 1087, 1471)(1021, 1405, 1095, 1479, 1037, 1421, 1096, 1480)(1023, 1407, 1098, 1482, 1149, 1533, 1099, 1483)(1026, 1410, 1101, 1485, 1150, 1534, 1102, 1486)(1029, 1413, 1105, 1489, 1152, 1536, 1106, 1490)(1034, 1418, 1109, 1493, 1151, 1535, 1104, 1488)(1049, 1433, 1120, 1504, 1077, 1461, 1121, 1505)(1052, 1436, 1123, 1507, 1081, 1465, 1119, 1503)(1055, 1439, 1124, 1508, 1076, 1460, 1125, 1509)(1057, 1441, 1126, 1510, 1082, 1466, 1127, 1511)(1058, 1442, 1128, 1512, 1079, 1463, 1129, 1513)(1061, 1445, 1130, 1514, 1075, 1459, 1131, 1515)(1085, 1469, 1137, 1521, 1113, 1497, 1138, 1522)(1088, 1472, 1140, 1524, 1117, 1501, 1136, 1520)(1091, 1475, 1141, 1525, 1112, 1496, 1142, 1526)(1093, 1477, 1143, 1527, 1118, 1502, 1144, 1528)(1094, 1478, 1145, 1529, 1115, 1499, 1146, 1530)(1097, 1481, 1147, 1531, 1111, 1495, 1148, 1532)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 778)(6, 780)(7, 771)(8, 783)(9, 772)(10, 773)(11, 788)(12, 774)(13, 791)(14, 793)(15, 776)(16, 796)(17, 798)(18, 799)(19, 801)(20, 779)(21, 804)(22, 806)(23, 781)(24, 809)(25, 782)(26, 812)(27, 814)(28, 784)(29, 817)(30, 785)(31, 786)(32, 822)(33, 787)(34, 825)(35, 827)(36, 789)(37, 830)(38, 790)(39, 832)(40, 834)(41, 792)(42, 823)(43, 838)(44, 794)(45, 841)(46, 795)(47, 844)(48, 829)(49, 797)(50, 848)(51, 820)(52, 819)(53, 851)(54, 800)(55, 810)(56, 855)(57, 802)(58, 858)(59, 803)(60, 861)(61, 816)(62, 805)(63, 865)(64, 807)(65, 867)(66, 808)(67, 870)(68, 872)(69, 873)(70, 811)(71, 875)(72, 877)(73, 813)(74, 868)(75, 881)(76, 815)(77, 883)(78, 884)(79, 886)(80, 818)(81, 888)(82, 889)(83, 821)(84, 892)(85, 894)(86, 895)(87, 824)(88, 897)(89, 899)(90, 826)(91, 890)(92, 903)(93, 828)(94, 905)(95, 906)(96, 908)(97, 831)(98, 910)(99, 833)(100, 842)(101, 914)(102, 835)(103, 917)(104, 836)(105, 837)(106, 922)(107, 839)(108, 924)(109, 840)(110, 926)(111, 928)(112, 929)(113, 843)(114, 931)(115, 845)(116, 846)(117, 936)(118, 847)(119, 939)(120, 849)(121, 850)(122, 859)(123, 945)(124, 852)(125, 948)(126, 853)(127, 854)(128, 953)(129, 856)(130, 955)(131, 857)(132, 957)(133, 959)(134, 960)(135, 860)(136, 962)(137, 862)(138, 863)(139, 967)(140, 864)(141, 970)(142, 866)(143, 973)(144, 966)(145, 975)(146, 869)(147, 977)(148, 979)(149, 871)(150, 971)(151, 951)(152, 950)(153, 984)(154, 874)(155, 986)(156, 876)(157, 989)(158, 878)(159, 992)(160, 879)(161, 880)(162, 997)(163, 882)(164, 1000)(165, 965)(166, 964)(167, 943)(168, 885)(169, 998)(170, 1006)(171, 887)(172, 949)(173, 1009)(174, 1010)(175, 935)(176, 1012)(177, 891)(178, 1014)(179, 1016)(180, 893)(181, 940)(182, 920)(183, 919)(184, 1021)(185, 896)(186, 1023)(187, 898)(188, 1026)(189, 900)(190, 1029)(191, 901)(192, 902)(193, 1034)(194, 904)(195, 1037)(196, 934)(197, 933)(198, 912)(199, 907)(200, 1035)(201, 1043)(202, 909)(203, 918)(204, 1046)(205, 911)(206, 1049)(207, 913)(208, 1052)(209, 915)(210, 1033)(211, 916)(212, 1055)(213, 1057)(214, 1025)(215, 1058)(216, 921)(217, 1061)(218, 923)(219, 1042)(220, 1019)(221, 925)(222, 1066)(223, 1068)(224, 927)(225, 1062)(226, 1050)(227, 1039)(228, 1015)(229, 930)(230, 937)(231, 1075)(232, 932)(233, 1076)(234, 1032)(235, 1077)(236, 1079)(237, 1024)(238, 938)(239, 1081)(240, 1082)(241, 941)(242, 942)(243, 1085)(244, 944)(245, 1088)(246, 946)(247, 996)(248, 947)(249, 1091)(250, 1093)(251, 988)(252, 1094)(253, 952)(254, 1097)(255, 954)(256, 1005)(257, 982)(258, 956)(259, 1102)(260, 1104)(261, 958)(262, 1098)(263, 1086)(264, 1002)(265, 978)(266, 961)(267, 968)(268, 1111)(269, 963)(270, 1112)(271, 995)(272, 1113)(273, 1115)(274, 987)(275, 969)(276, 1117)(277, 1118)(278, 972)(279, 1083)(280, 1119)(281, 974)(282, 994)(283, 1090)(284, 976)(285, 1109)(286, 1087)(287, 980)(288, 1105)(289, 981)(290, 983)(291, 1095)(292, 1130)(293, 985)(294, 993)(295, 1116)(296, 1103)(297, 1110)(298, 990)(299, 1100)(300, 991)(301, 1092)(302, 1114)(303, 1108)(304, 1107)(305, 1089)(306, 1101)(307, 999)(308, 1001)(309, 1003)(310, 1106)(311, 1004)(312, 1099)(313, 1007)(314, 1008)(315, 1047)(316, 1136)(317, 1011)(318, 1031)(319, 1054)(320, 1013)(321, 1073)(322, 1051)(323, 1017)(324, 1069)(325, 1018)(326, 1020)(327, 1059)(328, 1147)(329, 1022)(330, 1030)(331, 1080)(332, 1067)(333, 1074)(334, 1027)(335, 1064)(336, 1028)(337, 1056)(338, 1078)(339, 1072)(340, 1071)(341, 1053)(342, 1065)(343, 1036)(344, 1038)(345, 1040)(346, 1070)(347, 1041)(348, 1063)(349, 1044)(350, 1045)(351, 1048)(352, 1149)(353, 1138)(354, 1141)(355, 1148)(356, 1139)(357, 1146)(358, 1151)(359, 1144)(360, 1150)(361, 1142)(362, 1060)(363, 1140)(364, 1137)(365, 1145)(366, 1143)(367, 1152)(368, 1084)(369, 1132)(370, 1121)(371, 1124)(372, 1131)(373, 1122)(374, 1129)(375, 1134)(376, 1127)(377, 1133)(378, 1125)(379, 1096)(380, 1123)(381, 1120)(382, 1128)(383, 1126)(384, 1135)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 12, 2, 12 ), ( 2, 12, 2, 12, 2, 12, 2, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2367
Graph:: bipartite
	v = 288 e = 768 f = 448
	degree seq :: [ 4^192, 8^96 ]

E17.2365 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ R^2, Y3 * Y2^-1, (Y2^-1 * Y1^-1)^2, (Y3^-1 * Y1^-1)^2, Y1^4, (R * Y1)^2, R * Y2 * R * Y3, Y2^6, Y2^6, Y1^-2 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2^-2 * Y1^-2 * Y2^-2, Y1 * Y2^-2 * Y1^-1 * Y2 * Y1 * Y2^-1 * Y1^2 * Y2^-2 * Y1, (Y2^2 * Y1^-1)^4, Y2 * Y1^-1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-1 * Y1 * Y2^-2 * Y1^-2, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^-1 * Y1 * Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^-2 * Y1^-1, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2 * Y1^-1 * Y2^3 * Y1^-1 * Y2 * Y1^-1, Y1^-1 * Y2^-1 * Y1 * Y2 * Y1^-1 * Y2 * Y1^-1 * Y2^-1 * Y1 * Y2^-2 * Y1 * Y2^-1 * Y1^-1 * Y2 * Y1^-1 ]
Map::
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 58, 442, 29, 413)(17, 401, 36, 420, 69, 453, 38, 422)(20, 404, 42, 426, 77, 461, 40, 424)(22, 406, 45, 429, 82, 466, 43, 427)(24, 408, 49, 433, 92, 476, 50, 434)(26, 410, 44, 428, 83, 467, 53, 437)(27, 411, 54, 438, 100, 484, 55, 439)(30, 414, 59, 443, 75, 459, 39, 423)(32, 416, 62, 446, 114, 498, 64, 448)(35, 419, 68, 452, 122, 506, 66, 450)(37, 421, 71, 455, 130, 514, 72, 456)(41, 425, 78, 462, 120, 504, 65, 449)(46, 430, 87, 471, 153, 537, 85, 469)(48, 432, 90, 474, 121, 505, 88, 472)(51, 435, 89, 473, 157, 541, 96, 480)(52, 436, 97, 481, 170, 554, 98, 482)(56, 440, 67, 451, 123, 507, 104, 488)(57, 441, 105, 489, 115, 499, 107, 491)(60, 444, 111, 495, 188, 572, 109, 493)(61, 445, 112, 496, 186, 570, 108, 492)(63, 447, 116, 500, 195, 579, 117, 501)(70, 454, 128, 512, 81, 465, 126, 510)(73, 457, 127, 511, 210, 594, 134, 518)(74, 458, 135, 519, 223, 607, 136, 520)(76, 460, 138, 522, 101, 485, 140, 524)(79, 463, 144, 528, 234, 618, 142, 526)(80, 464, 145, 529, 232, 616, 141, 525)(84, 468, 151, 535, 242, 626, 149, 533)(86, 470, 154, 538, 240, 624, 148, 532)(91, 475, 161, 545, 258, 642, 159, 543)(93, 477, 164, 548, 241, 625, 162, 546)(94, 478, 163, 547, 224, 608, 167, 551)(95, 479, 168, 552, 237, 621, 146, 530)(99, 483, 150, 534, 243, 627, 174, 558)(102, 486, 175, 559, 275, 659, 178, 562)(103, 487, 179, 563, 279, 663, 180, 564)(106, 490, 182, 566, 283, 667, 183, 567)(110, 494, 189, 573, 227, 611, 137, 521)(113, 497, 177, 561, 277, 661, 191, 575)(118, 502, 193, 577, 295, 679, 199, 583)(119, 503, 200, 584, 305, 689, 201, 585)(124, 508, 207, 591, 313, 697, 205, 589)(125, 509, 208, 592, 311, 695, 204, 588)(129, 513, 214, 598, 322, 706, 212, 596)(131, 515, 217, 601, 187, 571, 215, 599)(132, 516, 216, 600, 306, 690, 220, 604)(133, 517, 221, 605, 316, 700, 209, 593)(139, 523, 228, 612, 339, 723, 229, 613)(143, 527, 235, 619, 309, 693, 202, 586)(147, 531, 213, 597, 323, 707, 239, 623)(152, 536, 246, 630, 171, 555, 248, 632)(155, 539, 198, 582, 303, 687, 250, 634)(156, 540, 252, 636, 312, 696, 249, 633)(158, 542, 256, 640, 185, 569, 254, 638)(160, 544, 259, 643, 310, 694, 203, 587)(165, 549, 219, 603, 328, 712, 262, 646)(166, 550, 264, 648, 356, 740, 253, 637)(169, 553, 255, 639, 308, 692, 268, 652)(172, 556, 269, 653, 307, 691, 271, 655)(173, 557, 272, 656, 304, 688, 273, 657)(176, 560, 276, 660, 342, 726, 230, 614)(181, 565, 206, 590, 314, 698, 282, 666)(184, 568, 194, 578, 296, 680, 286, 670)(190, 574, 291, 675, 317, 701, 289, 673)(192, 576, 293, 677, 315, 699, 287, 671)(196, 580, 299, 683, 233, 617, 297, 681)(197, 581, 298, 682, 280, 664, 302, 686)(211, 595, 320, 704, 231, 615, 318, 702)(218, 602, 301, 685, 370, 754, 326, 710)(222, 606, 319, 703, 281, 665, 332, 716)(225, 609, 333, 717, 245, 629, 335, 719)(226, 610, 336, 720, 278, 662, 337, 721)(236, 620, 347, 731, 251, 635, 345, 729)(238, 622, 349, 733, 244, 628, 343, 727)(247, 631, 353, 737, 369, 753, 300, 684)(257, 641, 348, 732, 266, 650, 340, 724)(260, 644, 321, 705, 375, 759, 330, 714)(261, 645, 359, 743, 383, 767, 350, 734)(263, 647, 361, 745, 377, 761, 352, 736)(265, 649, 334, 718, 382, 766, 344, 728)(267, 651, 363, 747, 376, 760, 325, 709)(270, 654, 364, 748, 288, 672, 327, 711)(274, 658, 338, 722, 290, 674, 346, 730)(284, 668, 341, 725, 292, 676, 366, 750)(285, 669, 354, 738, 371, 755, 324, 708)(294, 678, 351, 735, 372, 756, 365, 749)(329, 713, 373, 757, 357, 741, 374, 758)(331, 715, 381, 765, 355, 739, 368, 752)(358, 742, 384, 768, 367, 751, 378, 762)(360, 744, 380, 764, 362, 746, 379, 763)(769, 1153, 771, 1155, 778, 1162, 792, 1176, 782, 1166, 773, 1157)(770, 1154, 775, 1159, 785, 1169, 805, 1189, 788, 1172, 776, 1160)(772, 1156, 780, 1164, 795, 1179, 814, 1198, 790, 1174, 777, 1161)(774, 1158, 783, 1167, 800, 1184, 831, 1215, 803, 1187, 784, 1168)(779, 1163, 794, 1178, 820, 1204, 859, 1243, 816, 1200, 791, 1175)(781, 1165, 797, 1181, 825, 1209, 874, 1258, 828, 1212, 798, 1182)(786, 1170, 807, 1191, 842, 1226, 897, 1281, 838, 1222, 804, 1188)(787, 1171, 808, 1192, 844, 1228, 907, 1291, 847, 1231, 809, 1193)(789, 1173, 811, 1195, 849, 1233, 915, 1299, 852, 1236, 812, 1196)(793, 1177, 819, 1203, 863, 1247, 933, 1317, 861, 1245, 817, 1201)(796, 1180, 824, 1208, 871, 1255, 944, 1328, 869, 1253, 822, 1206)(799, 1183, 818, 1202, 862, 1246, 934, 1318, 881, 1265, 829, 1213)(801, 1185, 833, 1217, 887, 1271, 962, 1346, 883, 1267, 830, 1214)(802, 1186, 834, 1218, 889, 1273, 971, 1355, 892, 1276, 835, 1219)(806, 1190, 841, 1225, 901, 1285, 986, 1370, 899, 1283, 839, 1223)(810, 1194, 840, 1224, 900, 1284, 987, 1371, 914, 1298, 848, 1232)(813, 1197, 853, 1237, 920, 1304, 1015, 1399, 923, 1307, 854, 1238)(815, 1199, 856, 1240, 890, 1274, 972, 1356, 926, 1310, 857, 1241)(821, 1205, 867, 1251, 941, 1325, 1038, 1422, 939, 1323, 865, 1249)(823, 1207, 870, 1254, 945, 1329, 1021, 1405, 924, 1308, 855, 1239)(826, 1210, 876, 1260, 953, 1337, 961, 1345, 882, 1266, 873, 1257)(827, 1211, 877, 1261, 955, 1339, 1056, 1440, 958, 1342, 878, 1262)(832, 1216, 886, 1270, 966, 1350, 1068, 1452, 964, 1348, 884, 1268)(836, 1220, 885, 1269, 965, 1349, 1069, 1453, 977, 1361, 893, 1277)(837, 1221, 894, 1278, 850, 1234, 916, 1300, 979, 1363, 895, 1279)(843, 1227, 905, 1289, 994, 1378, 1102, 1486, 992, 1376, 903, 1287)(845, 1229, 909, 1293, 999, 1383, 943, 1327, 868, 1252, 906, 1290)(846, 1230, 910, 1294, 1001, 1385, 1112, 1496, 1004, 1388, 911, 1295)(851, 1235, 917, 1301, 1009, 1393, 1120, 1504, 1012, 1396, 918, 1302)(858, 1242, 927, 1311, 1025, 1409, 1126, 1510, 1028, 1412, 928, 1312)(860, 1244, 930, 1314, 1010, 1394, 1101, 1485, 991, 1375, 931, 1315)(864, 1248, 937, 1321, 1035, 1419, 1107, 1491, 1034, 1418, 936, 1320)(866, 1250, 940, 1324, 879, 1263, 951, 1335, 1029, 1413, 929, 1313)(872, 1256, 949, 1333, 1049, 1433, 1129, 1513, 1048, 1432, 947, 1331)(875, 1259, 952, 1336, 1053, 1437, 1135, 1519, 1052, 1436, 950, 1334)(880, 1264, 959, 1343, 1060, 1444, 1110, 1494, 1062, 1446, 960, 1344)(888, 1272, 970, 1354, 1076, 1460, 1141, 1525, 1074, 1458, 968, 1352)(891, 1275, 973, 1357, 1080, 1464, 1142, 1526, 1083, 1467, 974, 1358)(896, 1280, 980, 1364, 1089, 1473, 1146, 1530, 1092, 1476, 981, 1365)(898, 1282, 983, 1367, 956, 1340, 1039, 1423, 1073, 1457, 984, 1368)(902, 1286, 990, 1374, 1099, 1483, 1027, 1411, 1098, 1482, 989, 1373)(904, 1288, 993, 1377, 912, 1296, 997, 1381, 1093, 1477, 982, 1366)(908, 1292, 998, 1382, 1109, 1493, 1152, 1536, 1108, 1492, 996, 1380)(913, 1297, 1005, 1389, 1116, 1500, 1026, 1410, 1118, 1502, 1006, 1390)(919, 1303, 1007, 1391, 1119, 1503, 1044, 1428, 948, 1332, 1013, 1397)(921, 1305, 1017, 1401, 1081, 1465, 1037, 1421, 938, 1322, 1014, 1398)(922, 1306, 1018, 1402, 1122, 1506, 1054, 1438, 1123, 1507, 1019, 1403)(925, 1309, 1022, 1406, 954, 1338, 1055, 1439, 1125, 1509, 1023, 1407)(932, 1316, 1030, 1414, 1128, 1512, 1138, 1522, 1070, 1454, 1031, 1415)(935, 1319, 1033, 1417, 1067, 1451, 1137, 1521, 1130, 1514, 1032, 1416)(942, 1326, 1042, 1426, 1082, 1466, 1061, 1445, 1133, 1517, 1040, 1424)(946, 1330, 1046, 1430, 1127, 1511, 1051, 1435, 1134, 1518, 1045, 1429)(957, 1341, 1057, 1441, 1131, 1515, 1036, 1420, 1077, 1461, 1058, 1442)(963, 1347, 1065, 1449, 1002, 1386, 1103, 1487, 1047, 1431, 1066, 1450)(967, 1351, 1072, 1456, 1140, 1524, 1091, 1475, 1139, 1523, 1071, 1455)(969, 1353, 1075, 1459, 975, 1359, 1078, 1462, 1136, 1520, 1064, 1448)(976, 1360, 1084, 1468, 1143, 1527, 1090, 1474, 1144, 1528, 1085, 1469)(978, 1362, 1086, 1470, 1000, 1384, 1111, 1495, 1145, 1529, 1087, 1471)(985, 1369, 1094, 1478, 1147, 1531, 1121, 1505, 1016, 1400, 1095, 1479)(988, 1372, 1097, 1481, 1020, 1404, 1124, 1508, 1148, 1532, 1096, 1480)(995, 1379, 1106, 1490, 1011, 1395, 1117, 1501, 1151, 1535, 1104, 1488)(1003, 1387, 1113, 1497, 1149, 1533, 1100, 1484, 1050, 1434, 1114, 1498)(1008, 1392, 1115, 1499, 1150, 1534, 1105, 1489, 1043, 1427, 1088, 1472)(1024, 1408, 1079, 1463, 1059, 1443, 1132, 1516, 1041, 1425, 1063, 1447)
	L = (1, 771)(2, 775)(3, 778)(4, 780)(5, 769)(6, 783)(7, 785)(8, 770)(9, 772)(10, 792)(11, 794)(12, 795)(13, 797)(14, 773)(15, 800)(16, 774)(17, 805)(18, 807)(19, 808)(20, 776)(21, 811)(22, 777)(23, 779)(24, 782)(25, 819)(26, 820)(27, 814)(28, 824)(29, 825)(30, 781)(31, 818)(32, 831)(33, 833)(34, 834)(35, 784)(36, 786)(37, 788)(38, 841)(39, 842)(40, 844)(41, 787)(42, 840)(43, 849)(44, 789)(45, 853)(46, 790)(47, 856)(48, 791)(49, 793)(50, 862)(51, 863)(52, 859)(53, 867)(54, 796)(55, 870)(56, 871)(57, 874)(58, 876)(59, 877)(60, 798)(61, 799)(62, 801)(63, 803)(64, 886)(65, 887)(66, 889)(67, 802)(68, 885)(69, 894)(70, 804)(71, 806)(72, 900)(73, 901)(74, 897)(75, 905)(76, 907)(77, 909)(78, 910)(79, 809)(80, 810)(81, 915)(82, 916)(83, 917)(84, 812)(85, 920)(86, 813)(87, 823)(88, 890)(89, 815)(90, 927)(91, 816)(92, 930)(93, 817)(94, 934)(95, 933)(96, 937)(97, 821)(98, 940)(99, 941)(100, 906)(101, 822)(102, 945)(103, 944)(104, 949)(105, 826)(106, 828)(107, 952)(108, 953)(109, 955)(110, 827)(111, 951)(112, 959)(113, 829)(114, 873)(115, 830)(116, 832)(117, 965)(118, 966)(119, 962)(120, 970)(121, 971)(122, 972)(123, 973)(124, 835)(125, 836)(126, 850)(127, 837)(128, 980)(129, 838)(130, 983)(131, 839)(132, 987)(133, 986)(134, 990)(135, 843)(136, 993)(137, 994)(138, 845)(139, 847)(140, 998)(141, 999)(142, 1001)(143, 846)(144, 997)(145, 1005)(146, 848)(147, 852)(148, 979)(149, 1009)(150, 851)(151, 1007)(152, 1015)(153, 1017)(154, 1018)(155, 854)(156, 855)(157, 1022)(158, 857)(159, 1025)(160, 858)(161, 866)(162, 1010)(163, 860)(164, 1030)(165, 861)(166, 881)(167, 1033)(168, 864)(169, 1035)(170, 1014)(171, 865)(172, 879)(173, 1038)(174, 1042)(175, 868)(176, 869)(177, 1021)(178, 1046)(179, 872)(180, 1013)(181, 1049)(182, 875)(183, 1029)(184, 1053)(185, 961)(186, 1055)(187, 1056)(188, 1039)(189, 1057)(190, 878)(191, 1060)(192, 880)(193, 882)(194, 883)(195, 1065)(196, 884)(197, 1069)(198, 1068)(199, 1072)(200, 888)(201, 1075)(202, 1076)(203, 892)(204, 926)(205, 1080)(206, 891)(207, 1078)(208, 1084)(209, 893)(210, 1086)(211, 895)(212, 1089)(213, 896)(214, 904)(215, 956)(216, 898)(217, 1094)(218, 899)(219, 914)(220, 1097)(221, 902)(222, 1099)(223, 931)(224, 903)(225, 912)(226, 1102)(227, 1106)(228, 908)(229, 1093)(230, 1109)(231, 943)(232, 1111)(233, 1112)(234, 1103)(235, 1113)(236, 911)(237, 1116)(238, 913)(239, 1119)(240, 1115)(241, 1120)(242, 1101)(243, 1117)(244, 918)(245, 919)(246, 921)(247, 923)(248, 1095)(249, 1081)(250, 1122)(251, 922)(252, 1124)(253, 924)(254, 954)(255, 925)(256, 1079)(257, 1126)(258, 1118)(259, 1098)(260, 928)(261, 929)(262, 1128)(263, 932)(264, 935)(265, 1067)(266, 936)(267, 1107)(268, 1077)(269, 938)(270, 939)(271, 1073)(272, 942)(273, 1063)(274, 1082)(275, 1088)(276, 948)(277, 946)(278, 1127)(279, 1066)(280, 947)(281, 1129)(282, 1114)(283, 1134)(284, 950)(285, 1135)(286, 1123)(287, 1125)(288, 958)(289, 1131)(290, 957)(291, 1132)(292, 1110)(293, 1133)(294, 960)(295, 1024)(296, 969)(297, 1002)(298, 963)(299, 1137)(300, 964)(301, 977)(302, 1031)(303, 967)(304, 1140)(305, 984)(306, 968)(307, 975)(308, 1141)(309, 1058)(310, 1136)(311, 1059)(312, 1142)(313, 1037)(314, 1061)(315, 974)(316, 1143)(317, 976)(318, 1000)(319, 978)(320, 1008)(321, 1146)(322, 1144)(323, 1139)(324, 981)(325, 982)(326, 1147)(327, 985)(328, 988)(329, 1020)(330, 989)(331, 1027)(332, 1050)(333, 991)(334, 992)(335, 1047)(336, 995)(337, 1043)(338, 1011)(339, 1034)(340, 996)(341, 1152)(342, 1062)(343, 1145)(344, 1004)(345, 1149)(346, 1003)(347, 1150)(348, 1026)(349, 1151)(350, 1006)(351, 1044)(352, 1012)(353, 1016)(354, 1054)(355, 1019)(356, 1148)(357, 1023)(358, 1028)(359, 1051)(360, 1138)(361, 1048)(362, 1032)(363, 1036)(364, 1041)(365, 1040)(366, 1045)(367, 1052)(368, 1064)(369, 1130)(370, 1070)(371, 1071)(372, 1091)(373, 1074)(374, 1083)(375, 1090)(376, 1085)(377, 1087)(378, 1092)(379, 1121)(380, 1096)(381, 1100)(382, 1105)(383, 1104)(384, 1108)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	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 E17.2366
Graph:: bipartite
	v = 160 e = 768 f = 576
	degree seq :: [ 8^96, 12^64 ]

E17.2366 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, Y3^6, (Y3 * Y2)^4, (Y2 * Y3 * Y2 * Y3^-1)^3, (Y3^-1 * Y1^-1)^6, (Y3^-2 * Y2 * Y3^-1)^4, Y3 * Y2 * Y3^2 * Y2 * Y3^-1 * Y2 * Y3^-3 * Y2 * Y3^-1 * Y2 * Y3 * Y2 * Y3^-1 * Y2 * Y3^-2 * Y2 ]
Map:: polytopal
	R = (1, 385)(2, 386)(3, 387)(4, 388)(5, 389)(6, 390)(7, 391)(8, 392)(9, 393)(10, 394)(11, 395)(12, 396)(13, 397)(14, 398)(15, 399)(16, 400)(17, 401)(18, 402)(19, 403)(20, 404)(21, 405)(22, 406)(23, 407)(24, 408)(25, 409)(26, 410)(27, 411)(28, 412)(29, 413)(30, 414)(31, 415)(32, 416)(33, 417)(34, 418)(35, 419)(36, 420)(37, 421)(38, 422)(39, 423)(40, 424)(41, 425)(42, 426)(43, 427)(44, 428)(45, 429)(46, 430)(47, 431)(48, 432)(49, 433)(50, 434)(51, 435)(52, 436)(53, 437)(54, 438)(55, 439)(56, 440)(57, 441)(58, 442)(59, 443)(60, 444)(61, 445)(62, 446)(63, 447)(64, 448)(65, 449)(66, 450)(67, 451)(68, 452)(69, 453)(70, 454)(71, 455)(72, 456)(73, 457)(74, 458)(75, 459)(76, 460)(77, 461)(78, 462)(79, 463)(80, 464)(81, 465)(82, 466)(83, 467)(84, 468)(85, 469)(86, 470)(87, 471)(88, 472)(89, 473)(90, 474)(91, 475)(92, 476)(93, 477)(94, 478)(95, 479)(96, 480)(97, 481)(98, 482)(99, 483)(100, 484)(101, 485)(102, 486)(103, 487)(104, 488)(105, 489)(106, 490)(107, 491)(108, 492)(109, 493)(110, 494)(111, 495)(112, 496)(113, 497)(114, 498)(115, 499)(116, 500)(117, 501)(118, 502)(119, 503)(120, 504)(121, 505)(122, 506)(123, 507)(124, 508)(125, 509)(126, 510)(127, 511)(128, 512)(129, 513)(130, 514)(131, 515)(132, 516)(133, 517)(134, 518)(135, 519)(136, 520)(137, 521)(138, 522)(139, 523)(140, 524)(141, 525)(142, 526)(143, 527)(144, 528)(145, 529)(146, 530)(147, 531)(148, 532)(149, 533)(150, 534)(151, 535)(152, 536)(153, 537)(154, 538)(155, 539)(156, 540)(157, 541)(158, 542)(159, 543)(160, 544)(161, 545)(162, 546)(163, 547)(164, 548)(165, 549)(166, 550)(167, 551)(168, 552)(169, 553)(170, 554)(171, 555)(172, 556)(173, 557)(174, 558)(175, 559)(176, 560)(177, 561)(178, 562)(179, 563)(180, 564)(181, 565)(182, 566)(183, 567)(184, 568)(185, 569)(186, 570)(187, 571)(188, 572)(189, 573)(190, 574)(191, 575)(192, 576)(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)(769, 1153, 770, 1154)(771, 1155, 775, 1159)(772, 1156, 777, 1161)(773, 1157, 779, 1163)(774, 1158, 781, 1165)(776, 1160, 785, 1169)(778, 1162, 789, 1173)(780, 1164, 792, 1176)(782, 1166, 796, 1180)(783, 1167, 795, 1179)(784, 1168, 798, 1182)(786, 1170, 802, 1186)(787, 1171, 803, 1187)(788, 1172, 790, 1174)(791, 1175, 809, 1193)(793, 1177, 813, 1197)(794, 1178, 814, 1198)(797, 1181, 819, 1203)(799, 1183, 823, 1207)(800, 1184, 822, 1206)(801, 1185, 825, 1209)(804, 1188, 831, 1215)(805, 1189, 833, 1217)(806, 1190, 834, 1218)(807, 1191, 829, 1213)(808, 1192, 837, 1221)(810, 1194, 841, 1225)(811, 1195, 840, 1224)(812, 1196, 843, 1227)(815, 1199, 849, 1233)(816, 1200, 851, 1235)(817, 1201, 852, 1236)(818, 1202, 847, 1231)(820, 1204, 857, 1241)(821, 1205, 839, 1223)(824, 1208, 862, 1246)(826, 1210, 866, 1250)(827, 1211, 865, 1249)(828, 1212, 868, 1252)(830, 1214, 848, 1232)(832, 1216, 874, 1258)(835, 1219, 878, 1262)(836, 1220, 880, 1264)(838, 1222, 883, 1267)(842, 1226, 888, 1272)(844, 1228, 892, 1276)(845, 1229, 891, 1275)(846, 1230, 894, 1278)(850, 1234, 900, 1284)(853, 1237, 904, 1288)(854, 1238, 906, 1290)(855, 1239, 902, 1286)(856, 1240, 903, 1287)(858, 1242, 887, 1271)(859, 1243, 912, 1296)(860, 1244, 913, 1297)(861, 1245, 884, 1268)(863, 1247, 918, 1302)(864, 1248, 901, 1285)(867, 1251, 923, 1307)(869, 1253, 926, 1310)(870, 1254, 927, 1311)(871, 1255, 898, 1282)(872, 1256, 897, 1281)(873, 1257, 930, 1314)(875, 1259, 890, 1274)(876, 1260, 881, 1265)(877, 1261, 882, 1266)(879, 1263, 939, 1323)(885, 1269, 947, 1331)(886, 1270, 948, 1332)(889, 1273, 953, 1337)(893, 1277, 958, 1342)(895, 1279, 961, 1345)(896, 1280, 962, 1346)(899, 1283, 965, 1349)(905, 1289, 974, 1358)(907, 1291, 977, 1361)(908, 1292, 972, 1356)(909, 1293, 971, 1355)(910, 1294, 980, 1364)(911, 1295, 982, 1366)(914, 1298, 986, 1370)(915, 1299, 988, 1372)(916, 1300, 984, 1368)(917, 1301, 985, 1369)(919, 1303, 968, 1352)(920, 1304, 994, 1378)(921, 1305, 995, 1379)(922, 1306, 969, 1353)(924, 1308, 959, 1343)(925, 1309, 983, 1367)(928, 1312, 1004, 1388)(929, 1313, 1005, 1389)(931, 1315, 1009, 1393)(932, 1316, 1008, 1392)(933, 1317, 954, 1338)(934, 1318, 957, 1341)(935, 1319, 1011, 1395)(936, 1320, 944, 1328)(937, 1321, 943, 1327)(938, 1322, 1013, 1397)(940, 1324, 1007, 1391)(941, 1325, 1003, 1387)(942, 1326, 1017, 1401)(945, 1329, 1020, 1404)(946, 1330, 1022, 1406)(949, 1333, 1026, 1410)(950, 1334, 1028, 1412)(951, 1335, 1024, 1408)(952, 1336, 1025, 1409)(955, 1339, 1034, 1418)(956, 1340, 1035, 1419)(960, 1344, 1023, 1407)(963, 1347, 1044, 1428)(964, 1348, 1045, 1429)(966, 1350, 1049, 1433)(967, 1351, 1048, 1432)(970, 1354, 1051, 1435)(973, 1357, 1053, 1437)(975, 1359, 1047, 1431)(976, 1360, 1043, 1427)(978, 1362, 1059, 1443)(979, 1363, 1060, 1444)(981, 1365, 1062, 1446)(987, 1371, 1046, 1430)(989, 1373, 1070, 1454)(990, 1374, 1037, 1421)(991, 1375, 1067, 1451)(992, 1376, 1072, 1456)(993, 1377, 1073, 1457)(996, 1380, 1054, 1438)(997, 1381, 1030, 1414)(998, 1382, 1074, 1458)(999, 1383, 1041, 1425)(1000, 1384, 1064, 1448)(1001, 1385, 1039, 1423)(1002, 1386, 1065, 1449)(1006, 1390, 1027, 1411)(1010, 1394, 1081, 1465)(1012, 1396, 1055, 1439)(1014, 1398, 1036, 1420)(1015, 1399, 1052, 1436)(1016, 1400, 1085, 1469)(1018, 1402, 1088, 1472)(1019, 1403, 1089, 1473)(1021, 1405, 1091, 1475)(1029, 1413, 1099, 1483)(1031, 1415, 1096, 1480)(1032, 1416, 1101, 1485)(1033, 1417, 1102, 1486)(1038, 1422, 1103, 1487)(1040, 1424, 1093, 1477)(1042, 1426, 1094, 1478)(1050, 1434, 1110, 1494)(1056, 1440, 1114, 1498)(1057, 1441, 1112, 1496)(1058, 1442, 1109, 1493)(1061, 1445, 1111, 1495)(1063, 1447, 1098, 1482)(1066, 1450, 1122, 1506)(1068, 1452, 1097, 1481)(1069, 1453, 1092, 1476)(1071, 1455, 1126, 1510)(1075, 1459, 1129, 1513)(1076, 1460, 1116, 1500)(1077, 1461, 1130, 1514)(1078, 1462, 1108, 1492)(1079, 1463, 1107, 1491)(1080, 1464, 1087, 1471)(1082, 1466, 1090, 1474)(1083, 1467, 1086, 1470)(1084, 1468, 1118, 1502)(1095, 1479, 1140, 1524)(1100, 1484, 1144, 1528)(1104, 1488, 1147, 1531)(1105, 1489, 1134, 1518)(1106, 1490, 1148, 1532)(1113, 1497, 1136, 1520)(1115, 1499, 1142, 1526)(1117, 1501, 1137, 1521)(1119, 1503, 1135, 1519)(1120, 1504, 1145, 1529)(1121, 1505, 1139, 1523)(1123, 1507, 1143, 1527)(1124, 1508, 1133, 1517)(1125, 1509, 1141, 1525)(1127, 1511, 1138, 1522)(1128, 1512, 1146, 1530)(1131, 1515, 1150, 1534)(1132, 1516, 1149, 1533)(1151, 1535, 1152, 1536)
	L = (1, 771)(2, 773)(3, 776)(4, 769)(5, 780)(6, 770)(7, 783)(8, 786)(9, 787)(10, 772)(11, 790)(12, 793)(13, 794)(14, 774)(15, 797)(16, 775)(17, 800)(18, 778)(19, 804)(20, 777)(21, 806)(22, 808)(23, 779)(24, 811)(25, 782)(26, 815)(27, 781)(28, 817)(29, 820)(30, 821)(31, 784)(32, 824)(33, 785)(34, 827)(35, 829)(36, 832)(37, 788)(38, 835)(39, 789)(40, 838)(41, 839)(42, 791)(43, 842)(44, 792)(45, 845)(46, 847)(47, 850)(48, 795)(49, 853)(50, 796)(51, 855)(52, 799)(53, 858)(54, 798)(55, 860)(56, 863)(57, 864)(58, 801)(59, 867)(60, 802)(61, 870)(62, 803)(63, 872)(64, 805)(65, 875)(66, 868)(67, 879)(68, 807)(69, 881)(70, 810)(71, 884)(72, 809)(73, 886)(74, 889)(75, 890)(76, 812)(77, 893)(78, 813)(79, 896)(80, 814)(81, 898)(82, 816)(83, 901)(84, 894)(85, 905)(86, 818)(87, 907)(88, 819)(89, 909)(90, 911)(91, 822)(92, 914)(93, 823)(94, 916)(95, 826)(96, 919)(97, 825)(98, 921)(99, 924)(100, 925)(101, 828)(102, 928)(103, 830)(104, 929)(105, 831)(106, 932)(107, 934)(108, 833)(109, 834)(110, 937)(111, 836)(112, 940)(113, 942)(114, 837)(115, 944)(116, 946)(117, 840)(118, 949)(119, 841)(120, 951)(121, 844)(122, 954)(123, 843)(124, 956)(125, 959)(126, 960)(127, 846)(128, 963)(129, 848)(130, 964)(131, 849)(132, 967)(133, 969)(134, 851)(135, 852)(136, 972)(137, 854)(138, 975)(139, 978)(140, 856)(141, 979)(142, 857)(143, 859)(144, 983)(145, 980)(146, 987)(147, 861)(148, 989)(149, 862)(150, 991)(151, 993)(152, 865)(153, 996)(154, 866)(155, 998)(156, 869)(157, 1000)(158, 1001)(159, 1003)(160, 871)(161, 1006)(162, 1007)(163, 873)(164, 992)(165, 874)(166, 1010)(167, 876)(168, 877)(169, 1012)(170, 878)(171, 981)(172, 1015)(173, 880)(174, 1018)(175, 882)(176, 1019)(177, 883)(178, 885)(179, 1023)(180, 1020)(181, 1027)(182, 887)(183, 1029)(184, 888)(185, 1031)(186, 1033)(187, 891)(188, 1036)(189, 892)(190, 1038)(191, 895)(192, 1040)(193, 1041)(194, 1043)(195, 897)(196, 1046)(197, 1047)(198, 899)(199, 1032)(200, 900)(201, 1050)(202, 902)(203, 903)(204, 1052)(205, 904)(206, 1021)(207, 1055)(208, 906)(209, 1057)(210, 908)(211, 939)(212, 1061)(213, 910)(214, 1063)(215, 1065)(216, 912)(217, 913)(218, 1037)(219, 915)(220, 1068)(221, 1071)(222, 917)(223, 933)(224, 918)(225, 920)(226, 927)(227, 1072)(228, 1026)(229, 922)(230, 1075)(231, 923)(232, 936)(233, 1035)(234, 926)(235, 1077)(236, 1073)(237, 1079)(238, 931)(239, 1060)(240, 930)(241, 1054)(242, 935)(243, 1082)(244, 1049)(245, 1039)(246, 938)(247, 1084)(248, 941)(249, 1086)(250, 943)(251, 974)(252, 1090)(253, 945)(254, 1092)(255, 1094)(256, 947)(257, 948)(258, 997)(259, 950)(260, 1097)(261, 1100)(262, 952)(263, 968)(264, 953)(265, 955)(266, 962)(267, 1101)(268, 986)(269, 957)(270, 1104)(271, 958)(272, 971)(273, 995)(274, 961)(275, 1106)(276, 1102)(277, 1108)(278, 966)(279, 1089)(280, 965)(281, 1014)(282, 970)(283, 1111)(284, 1009)(285, 999)(286, 973)(287, 1113)(288, 976)(289, 1115)(290, 977)(291, 1117)(292, 1119)(293, 1120)(294, 1013)(295, 1118)(296, 982)(297, 1121)(298, 984)(299, 985)(300, 1005)(301, 988)(302, 1124)(303, 990)(304, 1105)(305, 1127)(306, 994)(307, 1091)(308, 1002)(309, 1128)(310, 1004)(311, 1123)(312, 1008)(313, 1126)(314, 1129)(315, 1011)(316, 1016)(317, 1125)(318, 1133)(319, 1017)(320, 1135)(321, 1137)(322, 1138)(323, 1053)(324, 1136)(325, 1022)(326, 1139)(327, 1024)(328, 1025)(329, 1045)(330, 1028)(331, 1142)(332, 1030)(333, 1076)(334, 1145)(335, 1034)(336, 1062)(337, 1042)(338, 1146)(339, 1044)(340, 1141)(341, 1048)(342, 1144)(343, 1147)(344, 1051)(345, 1056)(346, 1143)(347, 1140)(348, 1058)(349, 1064)(350, 1059)(351, 1080)(352, 1067)(353, 1066)(354, 1134)(355, 1069)(356, 1151)(357, 1070)(358, 1078)(359, 1081)(360, 1074)(361, 1148)(362, 1149)(363, 1083)(364, 1085)(365, 1122)(366, 1087)(367, 1093)(368, 1088)(369, 1109)(370, 1096)(371, 1095)(372, 1116)(373, 1098)(374, 1152)(375, 1099)(376, 1107)(377, 1110)(378, 1103)(379, 1130)(380, 1131)(381, 1112)(382, 1114)(383, 1132)(384, 1150)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 8, 12 ), ( 8, 12, 8, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2365
Graph:: simple bipartite
	v = 576 e = 768 f = 160
	degree seq :: [ 2^384, 4^192 ]

E17.2367 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, Y1^6, (Y3 * Y1^-1)^4, (Y3 * Y1 * Y3 * Y1^-1)^3, (Y1^-2 * Y3 * Y1^-1)^4, Y3 * Y1^-2 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^3 ]
Map:: polytopal
	R = (1, 385, 2, 386, 5, 389, 11, 395, 10, 394, 4, 388)(3, 387, 7, 391, 15, 399, 29, 413, 18, 402, 8, 392)(6, 390, 13, 397, 25, 409, 46, 430, 28, 412, 14, 398)(9, 393, 19, 403, 35, 419, 61, 445, 37, 421, 20, 404)(12, 396, 23, 407, 42, 426, 73, 457, 45, 429, 24, 408)(16, 400, 31, 415, 54, 438, 93, 477, 56, 440, 32, 416)(17, 401, 33, 417, 57, 441, 82, 466, 48, 432, 26, 410)(21, 405, 38, 422, 66, 450, 109, 493, 68, 452, 39, 423)(22, 406, 40, 424, 69, 453, 113, 497, 72, 456, 41, 425)(27, 411, 49, 433, 83, 467, 122, 506, 75, 459, 43, 427)(30, 414, 52, 436, 89, 473, 143, 527, 92, 476, 53, 437)(34, 418, 59, 443, 99, 483, 156, 540, 101, 485, 60, 444)(36, 420, 63, 447, 105, 489, 164, 548, 106, 490, 64, 448)(44, 428, 76, 460, 123, 507, 178, 562, 115, 499, 70, 454)(47, 431, 79, 463, 129, 513, 199, 583, 132, 516, 80, 464)(50, 434, 85, 469, 136, 520, 206, 590, 138, 522, 86, 470)(51, 435, 87, 471, 139, 523, 174, 558, 142, 526, 88, 472)(55, 439, 84, 468, 135, 519, 205, 589, 145, 529, 90, 474)(58, 442, 97, 481, 154, 538, 229, 613, 155, 539, 98, 482)(62, 446, 103, 487, 161, 545, 236, 620, 163, 547, 104, 488)(65, 449, 107, 491, 166, 550, 242, 626, 167, 551, 108, 492)(67, 451, 71, 455, 116, 500, 179, 563, 171, 555, 111, 495)(74, 458, 119, 503, 185, 569, 261, 645, 188, 572, 120, 504)(77, 461, 125, 509, 192, 576, 268, 652, 194, 578, 126, 510)(78, 462, 127, 511, 195, 579, 168, 552, 198, 582, 128, 512)(81, 465, 124, 508, 191, 575, 267, 651, 201, 585, 130, 514)(91, 475, 146, 530, 217, 601, 291, 675, 210, 594, 140, 524)(94, 478, 149, 533, 222, 606, 300, 684, 223, 607, 150, 534)(95, 479, 151, 535, 224, 608, 283, 667, 204, 588, 134, 518)(96, 480, 152, 536, 226, 610, 285, 669, 228, 612, 153, 537)(100, 484, 141, 525, 211, 595, 272, 656, 196, 580, 131, 515)(102, 486, 159, 543, 184, 568, 118, 502, 183, 567, 160, 544)(110, 494, 169, 553, 244, 628, 304, 688, 246, 630, 170, 554)(112, 496, 172, 556, 247, 631, 316, 700, 248, 632, 173, 557)(114, 498, 175, 559, 249, 633, 318, 702, 252, 636, 176, 560)(117, 501, 181, 565, 256, 640, 324, 708, 258, 642, 182, 566)(121, 505, 180, 564, 255, 639, 323, 707, 263, 647, 186, 570)(133, 517, 203, 587, 280, 664, 213, 597, 266, 650, 190, 574)(137, 521, 197, 581, 273, 657, 326, 710, 259, 643, 187, 571)(144, 528, 214, 598, 294, 678, 336, 720, 270, 654, 215, 599)(147, 531, 218, 602, 286, 670, 207, 591, 264, 648, 219, 603)(148, 532, 220, 604, 297, 681, 231, 615, 299, 683, 221, 605)(157, 541, 202, 586, 279, 663, 239, 623, 269, 653, 232, 616)(158, 542, 233, 617, 307, 691, 360, 744, 308, 692, 234, 618)(162, 546, 238, 622, 271, 655, 337, 721, 309, 693, 235, 619)(165, 549, 241, 625, 312, 696, 320, 704, 250, 634, 177, 561)(189, 573, 265, 649, 332, 716, 275, 659, 322, 706, 254, 638)(193, 577, 260, 644, 327, 711, 293, 677, 212, 596, 251, 635)(200, 584, 276, 660, 341, 725, 370, 754, 325, 709, 277, 661)(208, 592, 287, 671, 237, 621, 310, 694, 346, 730, 288, 672)(209, 593, 289, 673, 340, 724, 274, 658, 245, 629, 257, 641)(216, 600, 292, 676, 349, 733, 369, 753, 351, 735, 295, 679)(225, 609, 298, 682, 353, 737, 367, 751, 334, 718, 296, 680)(227, 611, 303, 687, 352, 736, 368, 752, 343, 727, 281, 665)(230, 614, 306, 690, 359, 743, 366, 750, 347, 731, 290, 674)(240, 624, 253, 637, 321, 705, 313, 697, 328, 712, 311, 695)(243, 627, 314, 698, 319, 703, 365, 749, 363, 747, 315, 699)(262, 646, 329, 713, 373, 757, 364, 748, 317, 701, 330, 714)(278, 662, 339, 723, 378, 762, 362, 746, 380, 764, 342, 726)(282, 666, 344, 728, 302, 686, 357, 741, 375, 759, 333, 717)(284, 668, 345, 729, 381, 765, 354, 738, 377, 761, 338, 722)(301, 685, 355, 739, 374, 758, 331, 715, 372, 756, 356, 740)(305, 689, 348, 732, 371, 755, 335, 719, 376, 760, 358, 742)(350, 734, 379, 763, 384, 768, 383, 767, 361, 745, 382, 766)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 774)(3, 769)(4, 777)(5, 780)(6, 770)(7, 784)(8, 785)(9, 772)(10, 789)(11, 790)(12, 773)(13, 794)(14, 795)(15, 798)(16, 775)(17, 776)(18, 802)(19, 804)(20, 799)(21, 778)(22, 779)(23, 811)(24, 812)(25, 815)(26, 781)(27, 782)(28, 818)(29, 819)(30, 783)(31, 788)(32, 823)(33, 826)(34, 786)(35, 830)(36, 787)(37, 833)(38, 835)(39, 831)(40, 838)(41, 839)(42, 842)(43, 791)(44, 792)(45, 845)(46, 846)(47, 793)(48, 849)(49, 852)(50, 796)(51, 797)(52, 858)(53, 859)(54, 862)(55, 800)(56, 863)(57, 864)(58, 801)(59, 868)(60, 865)(61, 870)(62, 803)(63, 807)(64, 866)(65, 805)(66, 878)(67, 806)(68, 880)(69, 882)(70, 808)(71, 809)(72, 885)(73, 886)(74, 810)(75, 889)(76, 892)(77, 813)(78, 814)(79, 898)(80, 899)(81, 816)(82, 901)(83, 902)(84, 817)(85, 905)(86, 903)(87, 908)(88, 909)(89, 912)(90, 820)(91, 821)(92, 915)(93, 916)(94, 822)(95, 824)(96, 825)(97, 828)(98, 832)(99, 925)(100, 827)(101, 926)(102, 829)(103, 923)(104, 930)(105, 933)(106, 920)(107, 914)(108, 917)(109, 936)(110, 834)(111, 918)(112, 836)(113, 942)(114, 837)(115, 945)(116, 948)(117, 840)(118, 841)(119, 954)(120, 955)(121, 843)(122, 957)(123, 958)(124, 844)(125, 961)(126, 959)(127, 964)(128, 965)(129, 968)(130, 847)(131, 848)(132, 970)(133, 850)(134, 851)(135, 854)(136, 975)(137, 853)(138, 976)(139, 977)(140, 855)(141, 856)(142, 980)(143, 981)(144, 857)(145, 984)(146, 875)(147, 860)(148, 861)(149, 876)(150, 879)(151, 993)(152, 874)(153, 995)(154, 998)(155, 871)(156, 999)(157, 867)(158, 869)(159, 1003)(160, 985)(161, 1005)(162, 872)(163, 1007)(164, 1008)(165, 873)(166, 987)(167, 1011)(168, 877)(169, 991)(170, 1013)(171, 988)(172, 1006)(173, 1009)(174, 881)(175, 1018)(176, 1019)(177, 883)(178, 1021)(179, 1022)(180, 884)(181, 1025)(182, 1023)(183, 1027)(184, 1028)(185, 1030)(186, 887)(187, 888)(188, 1032)(189, 890)(190, 891)(191, 894)(192, 1037)(193, 893)(194, 1038)(195, 1039)(196, 895)(197, 896)(198, 1042)(199, 1043)(200, 897)(201, 1046)(202, 900)(203, 1049)(204, 1050)(205, 1052)(206, 1053)(207, 904)(208, 906)(209, 907)(210, 1058)(211, 1060)(212, 910)(213, 911)(214, 1063)(215, 1064)(216, 913)(217, 928)(218, 1024)(219, 934)(220, 939)(221, 1066)(222, 1069)(223, 937)(224, 1036)(225, 919)(226, 1070)(227, 921)(228, 1072)(229, 1073)(230, 922)(231, 924)(232, 1020)(233, 1071)(234, 1074)(235, 927)(236, 1051)(237, 929)(238, 940)(239, 931)(240, 932)(241, 941)(242, 1081)(243, 935)(244, 1075)(245, 938)(246, 1054)(247, 1047)(248, 1085)(249, 1087)(250, 943)(251, 944)(252, 1000)(253, 946)(254, 947)(255, 950)(256, 986)(257, 949)(258, 1093)(259, 951)(260, 952)(261, 1096)(262, 953)(263, 1099)(264, 956)(265, 1101)(266, 1102)(267, 1103)(268, 992)(269, 960)(270, 962)(271, 963)(272, 1106)(273, 1107)(274, 966)(275, 967)(276, 1110)(277, 1111)(278, 969)(279, 1015)(280, 1092)(281, 971)(282, 972)(283, 1004)(284, 973)(285, 974)(286, 1014)(287, 1112)(288, 1113)(289, 1115)(290, 978)(291, 1116)(292, 979)(293, 1117)(294, 1118)(295, 982)(296, 983)(297, 1120)(298, 989)(299, 1086)(300, 1122)(301, 990)(302, 994)(303, 1001)(304, 996)(305, 997)(306, 1002)(307, 1012)(308, 1129)(309, 1124)(310, 1126)(311, 1125)(312, 1130)(313, 1010)(314, 1121)(315, 1123)(316, 1100)(317, 1016)(318, 1067)(319, 1017)(320, 1134)(321, 1135)(322, 1136)(323, 1137)(324, 1048)(325, 1026)(326, 1139)(327, 1140)(328, 1029)(329, 1142)(330, 1143)(331, 1031)(332, 1084)(333, 1033)(334, 1034)(335, 1035)(336, 1144)(337, 1145)(338, 1040)(339, 1041)(340, 1146)(341, 1147)(342, 1044)(343, 1045)(344, 1055)(345, 1056)(346, 1150)(347, 1057)(348, 1059)(349, 1061)(350, 1062)(351, 1138)(352, 1065)(353, 1082)(354, 1068)(355, 1083)(356, 1077)(357, 1079)(358, 1078)(359, 1133)(360, 1149)(361, 1076)(362, 1080)(363, 1151)(364, 1148)(365, 1127)(366, 1088)(367, 1089)(368, 1090)(369, 1091)(370, 1119)(371, 1094)(372, 1095)(373, 1152)(374, 1097)(375, 1098)(376, 1104)(377, 1105)(378, 1108)(379, 1109)(380, 1132)(381, 1128)(382, 1114)(383, 1131)(384, 1141)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 8 ), ( 4, 8, 4, 8, 4, 8, 4, 8, 4, 8, 4, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2364
Graph:: simple bipartite
	v = 448 e = 768 f = 288
	degree seq :: [ 2^384, 12^64 ]

E17.2368 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y2^6, (Y2^-1 * Y1)^4, (Y3 * Y2^-1)^4, (Y1 * Y2 * Y1 * Y2^-1)^3, Y2^-2 * Y1 * Y2^3 * Y1 * Y2^-3 * Y1 * Y2^-3 * Y1 * Y2^-1, (Y2^2 * Y1 * Y2^-1 * Y1 * Y2)^3 ]
Map::
	R = (1, 385, 2, 386)(3, 387, 7, 391)(4, 388, 9, 393)(5, 389, 11, 395)(6, 390, 13, 397)(8, 392, 17, 401)(10, 394, 21, 405)(12, 396, 24, 408)(14, 398, 28, 412)(15, 399, 27, 411)(16, 400, 30, 414)(18, 402, 34, 418)(19, 403, 35, 419)(20, 404, 22, 406)(23, 407, 41, 425)(25, 409, 45, 429)(26, 410, 46, 430)(29, 413, 51, 435)(31, 415, 55, 439)(32, 416, 54, 438)(33, 417, 57, 441)(36, 420, 63, 447)(37, 421, 65, 449)(38, 422, 66, 450)(39, 423, 61, 445)(40, 424, 69, 453)(42, 426, 73, 457)(43, 427, 72, 456)(44, 428, 75, 459)(47, 431, 81, 465)(48, 432, 83, 467)(49, 433, 84, 468)(50, 434, 79, 463)(52, 436, 89, 473)(53, 437, 71, 455)(56, 440, 94, 478)(58, 442, 98, 482)(59, 443, 97, 481)(60, 444, 100, 484)(62, 446, 80, 464)(64, 448, 106, 490)(67, 451, 110, 494)(68, 452, 112, 496)(70, 454, 115, 499)(74, 458, 120, 504)(76, 460, 124, 508)(77, 461, 123, 507)(78, 462, 126, 510)(82, 466, 132, 516)(85, 469, 136, 520)(86, 470, 138, 522)(87, 471, 134, 518)(88, 472, 135, 519)(90, 474, 119, 503)(91, 475, 144, 528)(92, 476, 145, 529)(93, 477, 116, 500)(95, 479, 150, 534)(96, 480, 133, 517)(99, 483, 155, 539)(101, 485, 158, 542)(102, 486, 159, 543)(103, 487, 130, 514)(104, 488, 129, 513)(105, 489, 162, 546)(107, 491, 122, 506)(108, 492, 113, 497)(109, 493, 114, 498)(111, 495, 171, 555)(117, 501, 179, 563)(118, 502, 180, 564)(121, 505, 185, 569)(125, 509, 190, 574)(127, 511, 193, 577)(128, 512, 194, 578)(131, 515, 197, 581)(137, 521, 206, 590)(139, 523, 209, 593)(140, 524, 204, 588)(141, 525, 203, 587)(142, 526, 212, 596)(143, 527, 214, 598)(146, 530, 218, 602)(147, 531, 220, 604)(148, 532, 216, 600)(149, 533, 217, 601)(151, 535, 200, 584)(152, 536, 226, 610)(153, 537, 227, 611)(154, 538, 201, 585)(156, 540, 191, 575)(157, 541, 215, 599)(160, 544, 236, 620)(161, 545, 237, 621)(163, 547, 241, 625)(164, 548, 240, 624)(165, 549, 186, 570)(166, 550, 189, 573)(167, 551, 243, 627)(168, 552, 176, 560)(169, 553, 175, 559)(170, 554, 245, 629)(172, 556, 239, 623)(173, 557, 235, 619)(174, 558, 249, 633)(177, 561, 252, 636)(178, 562, 254, 638)(181, 565, 258, 642)(182, 566, 260, 644)(183, 567, 256, 640)(184, 568, 257, 641)(187, 571, 266, 650)(188, 572, 267, 651)(192, 576, 255, 639)(195, 579, 276, 660)(196, 580, 277, 661)(198, 582, 281, 665)(199, 583, 280, 664)(202, 586, 283, 667)(205, 589, 285, 669)(207, 591, 279, 663)(208, 592, 275, 659)(210, 594, 291, 675)(211, 595, 292, 676)(213, 597, 294, 678)(219, 603, 278, 662)(221, 605, 302, 686)(222, 606, 269, 653)(223, 607, 299, 683)(224, 608, 304, 688)(225, 609, 305, 689)(228, 612, 286, 670)(229, 613, 262, 646)(230, 614, 306, 690)(231, 615, 273, 657)(232, 616, 296, 680)(233, 617, 271, 655)(234, 618, 297, 681)(238, 622, 259, 643)(242, 626, 313, 697)(244, 628, 287, 671)(246, 630, 268, 652)(247, 631, 284, 668)(248, 632, 317, 701)(250, 634, 320, 704)(251, 635, 321, 705)(253, 637, 323, 707)(261, 645, 331, 715)(263, 647, 328, 712)(264, 648, 333, 717)(265, 649, 334, 718)(270, 654, 335, 719)(272, 656, 325, 709)(274, 658, 326, 710)(282, 666, 342, 726)(288, 672, 346, 730)(289, 673, 344, 728)(290, 674, 341, 725)(293, 677, 343, 727)(295, 679, 330, 714)(298, 682, 354, 738)(300, 684, 329, 713)(301, 685, 324, 708)(303, 687, 358, 742)(307, 691, 361, 745)(308, 692, 348, 732)(309, 693, 362, 746)(310, 694, 340, 724)(311, 695, 339, 723)(312, 696, 319, 703)(314, 698, 322, 706)(315, 699, 318, 702)(316, 700, 350, 734)(327, 711, 372, 756)(332, 716, 376, 760)(336, 720, 379, 763)(337, 721, 366, 750)(338, 722, 380, 764)(345, 729, 368, 752)(347, 731, 374, 758)(349, 733, 369, 753)(351, 735, 367, 751)(352, 736, 377, 761)(353, 737, 371, 755)(355, 739, 375, 759)(356, 740, 365, 749)(357, 741, 373, 757)(359, 743, 370, 754)(360, 744, 378, 762)(363, 747, 382, 766)(364, 748, 381, 765)(383, 767, 384, 768)(769, 1153, 771, 1155, 776, 1160, 786, 1170, 778, 1162, 772, 1156)(770, 1154, 773, 1157, 780, 1164, 793, 1177, 782, 1166, 774, 1158)(775, 1159, 783, 1167, 797, 1181, 820, 1204, 799, 1183, 784, 1168)(777, 1161, 787, 1171, 804, 1188, 832, 1216, 805, 1189, 788, 1172)(779, 1163, 790, 1174, 808, 1192, 838, 1222, 810, 1194, 791, 1175)(781, 1165, 794, 1178, 815, 1199, 850, 1234, 816, 1200, 795, 1179)(785, 1169, 800, 1184, 824, 1208, 863, 1247, 826, 1210, 801, 1185)(789, 1173, 806, 1190, 835, 1219, 879, 1263, 836, 1220, 807, 1191)(792, 1176, 811, 1195, 842, 1226, 889, 1273, 844, 1228, 812, 1196)(796, 1180, 817, 1201, 853, 1237, 905, 1289, 854, 1238, 818, 1202)(798, 1182, 821, 1205, 858, 1242, 911, 1295, 859, 1243, 822, 1206)(802, 1186, 827, 1211, 867, 1251, 924, 1308, 869, 1253, 828, 1212)(803, 1187, 829, 1213, 870, 1254, 928, 1312, 871, 1255, 830, 1214)(809, 1193, 839, 1223, 884, 1268, 946, 1330, 885, 1269, 840, 1224)(813, 1197, 845, 1229, 893, 1277, 959, 1343, 895, 1279, 846, 1230)(814, 1198, 847, 1231, 896, 1280, 963, 1347, 897, 1281, 848, 1232)(819, 1203, 855, 1239, 907, 1291, 978, 1362, 908, 1292, 856, 1240)(823, 1207, 860, 1244, 914, 1298, 987, 1371, 915, 1299, 861, 1245)(825, 1209, 864, 1248, 919, 1303, 993, 1377, 920, 1304, 865, 1249)(831, 1215, 872, 1256, 929, 1313, 1006, 1390, 931, 1315, 873, 1257)(833, 1217, 875, 1259, 934, 1318, 1010, 1394, 935, 1319, 876, 1260)(834, 1218, 868, 1252, 925, 1309, 1000, 1384, 936, 1320, 877, 1261)(837, 1221, 881, 1265, 942, 1326, 1018, 1402, 943, 1327, 882, 1266)(841, 1225, 886, 1270, 949, 1333, 1027, 1411, 950, 1334, 887, 1271)(843, 1227, 890, 1274, 954, 1338, 1033, 1417, 955, 1339, 891, 1275)(849, 1233, 898, 1282, 964, 1348, 1046, 1430, 966, 1350, 899, 1283)(851, 1235, 901, 1285, 969, 1353, 1050, 1434, 970, 1354, 902, 1286)(852, 1236, 894, 1278, 960, 1344, 1040, 1424, 971, 1355, 903, 1287)(857, 1241, 909, 1293, 979, 1363, 939, 1323, 981, 1365, 910, 1294)(862, 1246, 916, 1300, 989, 1373, 1071, 1455, 990, 1374, 917, 1301)(866, 1250, 921, 1305, 996, 1380, 1026, 1410, 997, 1381, 922, 1306)(874, 1258, 932, 1316, 992, 1376, 918, 1302, 991, 1375, 933, 1317)(878, 1262, 937, 1321, 1012, 1396, 1049, 1433, 1014, 1398, 938, 1322)(880, 1264, 940, 1324, 1015, 1399, 1084, 1468, 1016, 1400, 941, 1325)(883, 1267, 944, 1328, 1019, 1403, 974, 1358, 1021, 1405, 945, 1329)(888, 1272, 951, 1335, 1029, 1413, 1100, 1484, 1030, 1414, 952, 1336)(892, 1276, 956, 1340, 1036, 1420, 986, 1370, 1037, 1421, 957, 1341)(900, 1284, 967, 1351, 1032, 1416, 953, 1337, 1031, 1415, 968, 1352)(904, 1288, 972, 1356, 1052, 1436, 1009, 1393, 1054, 1438, 973, 1357)(906, 1290, 975, 1359, 1055, 1439, 1113, 1497, 1056, 1440, 976, 1360)(912, 1296, 983, 1367, 1065, 1449, 1121, 1505, 1066, 1450, 984, 1368)(913, 1297, 980, 1364, 1061, 1445, 1120, 1504, 1067, 1451, 985, 1369)(923, 1307, 998, 1382, 1075, 1459, 1091, 1475, 1053, 1437, 999, 1383)(926, 1310, 1001, 1385, 1035, 1419, 1101, 1485, 1076, 1460, 1002, 1386)(927, 1311, 1003, 1387, 1077, 1461, 1128, 1512, 1074, 1458, 994, 1378)(930, 1314, 1007, 1391, 1060, 1444, 1119, 1503, 1080, 1464, 1008, 1392)(947, 1331, 1023, 1407, 1094, 1478, 1139, 1523, 1095, 1479, 1024, 1408)(948, 1332, 1020, 1404, 1090, 1474, 1138, 1522, 1096, 1480, 1025, 1409)(958, 1342, 1038, 1422, 1104, 1488, 1062, 1446, 1013, 1397, 1039, 1423)(961, 1345, 1041, 1425, 995, 1379, 1072, 1456, 1105, 1489, 1042, 1426)(962, 1346, 1043, 1427, 1106, 1490, 1146, 1530, 1103, 1487, 1034, 1418)(965, 1349, 1047, 1431, 1089, 1473, 1137, 1521, 1109, 1493, 1048, 1432)(977, 1361, 1057, 1441, 1115, 1499, 1140, 1524, 1116, 1500, 1058, 1442)(982, 1366, 1063, 1447, 1118, 1502, 1059, 1443, 1117, 1501, 1064, 1448)(988, 1372, 1068, 1452, 1005, 1389, 1079, 1463, 1123, 1507, 1069, 1453)(1004, 1388, 1073, 1457, 1127, 1511, 1081, 1465, 1126, 1510, 1078, 1462)(1011, 1395, 1082, 1466, 1129, 1513, 1148, 1532, 1131, 1515, 1083, 1467)(1017, 1401, 1086, 1470, 1133, 1517, 1122, 1506, 1134, 1518, 1087, 1471)(1022, 1406, 1092, 1476, 1136, 1520, 1088, 1472, 1135, 1519, 1093, 1477)(1028, 1412, 1097, 1481, 1045, 1429, 1108, 1492, 1141, 1525, 1098, 1482)(1044, 1428, 1102, 1486, 1145, 1529, 1110, 1494, 1144, 1528, 1107, 1491)(1051, 1435, 1111, 1495, 1147, 1531, 1130, 1514, 1149, 1533, 1112, 1496)(1070, 1454, 1124, 1508, 1151, 1535, 1132, 1516, 1085, 1469, 1125, 1509)(1099, 1483, 1142, 1526, 1152, 1536, 1150, 1534, 1114, 1498, 1143, 1527)
	L = (1, 770)(2, 769)(3, 775)(4, 777)(5, 779)(6, 781)(7, 771)(8, 785)(9, 772)(10, 789)(11, 773)(12, 792)(13, 774)(14, 796)(15, 795)(16, 798)(17, 776)(18, 802)(19, 803)(20, 790)(21, 778)(22, 788)(23, 809)(24, 780)(25, 813)(26, 814)(27, 783)(28, 782)(29, 819)(30, 784)(31, 823)(32, 822)(33, 825)(34, 786)(35, 787)(36, 831)(37, 833)(38, 834)(39, 829)(40, 837)(41, 791)(42, 841)(43, 840)(44, 843)(45, 793)(46, 794)(47, 849)(48, 851)(49, 852)(50, 847)(51, 797)(52, 857)(53, 839)(54, 800)(55, 799)(56, 862)(57, 801)(58, 866)(59, 865)(60, 868)(61, 807)(62, 848)(63, 804)(64, 874)(65, 805)(66, 806)(67, 878)(68, 880)(69, 808)(70, 883)(71, 821)(72, 811)(73, 810)(74, 888)(75, 812)(76, 892)(77, 891)(78, 894)(79, 818)(80, 830)(81, 815)(82, 900)(83, 816)(84, 817)(85, 904)(86, 906)(87, 902)(88, 903)(89, 820)(90, 887)(91, 912)(92, 913)(93, 884)(94, 824)(95, 918)(96, 901)(97, 827)(98, 826)(99, 923)(100, 828)(101, 926)(102, 927)(103, 898)(104, 897)(105, 930)(106, 832)(107, 890)(108, 881)(109, 882)(110, 835)(111, 939)(112, 836)(113, 876)(114, 877)(115, 838)(116, 861)(117, 947)(118, 948)(119, 858)(120, 842)(121, 953)(122, 875)(123, 845)(124, 844)(125, 958)(126, 846)(127, 961)(128, 962)(129, 872)(130, 871)(131, 965)(132, 850)(133, 864)(134, 855)(135, 856)(136, 853)(137, 974)(138, 854)(139, 977)(140, 972)(141, 971)(142, 980)(143, 982)(144, 859)(145, 860)(146, 986)(147, 988)(148, 984)(149, 985)(150, 863)(151, 968)(152, 994)(153, 995)(154, 969)(155, 867)(156, 959)(157, 983)(158, 869)(159, 870)(160, 1004)(161, 1005)(162, 873)(163, 1009)(164, 1008)(165, 954)(166, 957)(167, 1011)(168, 944)(169, 943)(170, 1013)(171, 879)(172, 1007)(173, 1003)(174, 1017)(175, 937)(176, 936)(177, 1020)(178, 1022)(179, 885)(180, 886)(181, 1026)(182, 1028)(183, 1024)(184, 1025)(185, 889)(186, 933)(187, 1034)(188, 1035)(189, 934)(190, 893)(191, 924)(192, 1023)(193, 895)(194, 896)(195, 1044)(196, 1045)(197, 899)(198, 1049)(199, 1048)(200, 919)(201, 922)(202, 1051)(203, 909)(204, 908)(205, 1053)(206, 905)(207, 1047)(208, 1043)(209, 907)(210, 1059)(211, 1060)(212, 910)(213, 1062)(214, 911)(215, 925)(216, 916)(217, 917)(218, 914)(219, 1046)(220, 915)(221, 1070)(222, 1037)(223, 1067)(224, 1072)(225, 1073)(226, 920)(227, 921)(228, 1054)(229, 1030)(230, 1074)(231, 1041)(232, 1064)(233, 1039)(234, 1065)(235, 941)(236, 928)(237, 929)(238, 1027)(239, 940)(240, 932)(241, 931)(242, 1081)(243, 935)(244, 1055)(245, 938)(246, 1036)(247, 1052)(248, 1085)(249, 942)(250, 1088)(251, 1089)(252, 945)(253, 1091)(254, 946)(255, 960)(256, 951)(257, 952)(258, 949)(259, 1006)(260, 950)(261, 1099)(262, 997)(263, 1096)(264, 1101)(265, 1102)(266, 955)(267, 956)(268, 1014)(269, 990)(270, 1103)(271, 1001)(272, 1093)(273, 999)(274, 1094)(275, 976)(276, 963)(277, 964)(278, 987)(279, 975)(280, 967)(281, 966)(282, 1110)(283, 970)(284, 1015)(285, 973)(286, 996)(287, 1012)(288, 1114)(289, 1112)(290, 1109)(291, 978)(292, 979)(293, 1111)(294, 981)(295, 1098)(296, 1000)(297, 1002)(298, 1122)(299, 991)(300, 1097)(301, 1092)(302, 989)(303, 1126)(304, 992)(305, 993)(306, 998)(307, 1129)(308, 1116)(309, 1130)(310, 1108)(311, 1107)(312, 1087)(313, 1010)(314, 1090)(315, 1086)(316, 1118)(317, 1016)(318, 1083)(319, 1080)(320, 1018)(321, 1019)(322, 1082)(323, 1021)(324, 1069)(325, 1040)(326, 1042)(327, 1140)(328, 1031)(329, 1068)(330, 1063)(331, 1029)(332, 1144)(333, 1032)(334, 1033)(335, 1038)(336, 1147)(337, 1134)(338, 1148)(339, 1079)(340, 1078)(341, 1058)(342, 1050)(343, 1061)(344, 1057)(345, 1136)(346, 1056)(347, 1142)(348, 1076)(349, 1137)(350, 1084)(351, 1135)(352, 1145)(353, 1139)(354, 1066)(355, 1143)(356, 1133)(357, 1141)(358, 1071)(359, 1138)(360, 1146)(361, 1075)(362, 1077)(363, 1150)(364, 1149)(365, 1124)(366, 1105)(367, 1119)(368, 1113)(369, 1117)(370, 1127)(371, 1121)(372, 1095)(373, 1125)(374, 1115)(375, 1123)(376, 1100)(377, 1120)(378, 1128)(379, 1104)(380, 1106)(381, 1132)(382, 1131)(383, 1152)(384, 1151)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 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1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 2, 8, 2, 8 ), ( 2, 8, 2, 8, 2, 8, 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2369
Graph:: bipartite
	v = 256 e = 768 f = 480
	degree seq :: [ 4^192, 12^64 ]

E17.2369 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 4, 6})
Quotient :: dipole
Aut^+ = $<384, 5604>$ (small group id <384, 5604>)
Aut   = $<768, 1088555>$ (small group id <768, 1088555>)
|r| :: 2
Presentation :: [ Y2, R^2, (Y3^-1 * Y1^-1)^2, (R * Y3)^2, (R * Y1)^2, Y1^4, (R * Y2 * Y3^-1)^2, Y3^6, Y1 * Y3^-2 * Y1^-1 * Y3 * Y1 * Y3^-1 * Y1^2 * Y3^-2 * Y1, Y1^-1 * Y3^-2 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^-1 * Y3^-2 * Y1^-1, (Y3 * Y2^-1)^6, (Y3 * Y1^-1 * Y3)^4, Y3^2 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3 * Y1^-1 * Y3^3 * Y1^-1 * Y3 * Y1^-1, Y1^-1 * Y3^-1 * Y1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-2 * Y1 * Y3^-1 * Y1^-1 * Y3 * Y1^-1, Y3 * Y1^-1 * Y3 * Y1^-1 * Y3 * Y1^-1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-1 * Y1 * Y3^-2 * Y1^-2, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^-1 * Y1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^-2 * Y1^-1 ]
Map:: polytopal
	R = (1, 385, 2, 386, 6, 390, 4, 388)(3, 387, 9, 393, 21, 405, 11, 395)(5, 389, 13, 397, 18, 402, 7, 391)(8, 392, 19, 403, 33, 417, 15, 399)(10, 394, 23, 407, 47, 431, 25, 409)(12, 396, 16, 400, 34, 418, 28, 412)(14, 398, 31, 415, 58, 442, 29, 413)(17, 401, 36, 420, 69, 453, 38, 422)(20, 404, 42, 426, 77, 461, 40, 424)(22, 406, 45, 429, 82, 466, 43, 427)(24, 408, 49, 433, 92, 476, 50, 434)(26, 410, 44, 428, 83, 467, 53, 437)(27, 411, 54, 438, 100, 484, 55, 439)(30, 414, 59, 443, 75, 459, 39, 423)(32, 416, 62, 446, 114, 498, 64, 448)(35, 419, 68, 452, 122, 506, 66, 450)(37, 421, 71, 455, 130, 514, 72, 456)(41, 425, 78, 462, 120, 504, 65, 449)(46, 430, 87, 471, 153, 537, 85, 469)(48, 432, 90, 474, 121, 505, 88, 472)(51, 435, 89, 473, 157, 541, 96, 480)(52, 436, 97, 481, 170, 554, 98, 482)(56, 440, 67, 451, 123, 507, 104, 488)(57, 441, 105, 489, 115, 499, 107, 491)(60, 444, 111, 495, 188, 572, 109, 493)(61, 445, 112, 496, 186, 570, 108, 492)(63, 447, 116, 500, 195, 579, 117, 501)(70, 454, 128, 512, 81, 465, 126, 510)(73, 457, 127, 511, 210, 594, 134, 518)(74, 458, 135, 519, 223, 607, 136, 520)(76, 460, 138, 522, 101, 485, 140, 524)(79, 463, 144, 528, 234, 618, 142, 526)(80, 464, 145, 529, 232, 616, 141, 525)(84, 468, 151, 535, 242, 626, 149, 533)(86, 470, 154, 538, 240, 624, 148, 532)(91, 475, 161, 545, 258, 642, 159, 543)(93, 477, 164, 548, 241, 625, 162, 546)(94, 478, 163, 547, 224, 608, 167, 551)(95, 479, 168, 552, 237, 621, 146, 530)(99, 483, 150, 534, 243, 627, 174, 558)(102, 486, 175, 559, 275, 659, 178, 562)(103, 487, 179, 563, 279, 663, 180, 564)(106, 490, 182, 566, 283, 667, 183, 567)(110, 494, 189, 573, 227, 611, 137, 521)(113, 497, 177, 561, 277, 661, 191, 575)(118, 502, 193, 577, 295, 679, 199, 583)(119, 503, 200, 584, 305, 689, 201, 585)(124, 508, 207, 591, 313, 697, 205, 589)(125, 509, 208, 592, 311, 695, 204, 588)(129, 513, 214, 598, 322, 706, 212, 596)(131, 515, 217, 601, 187, 571, 215, 599)(132, 516, 216, 600, 306, 690, 220, 604)(133, 517, 221, 605, 316, 700, 209, 593)(139, 523, 228, 612, 339, 723, 229, 613)(143, 527, 235, 619, 309, 693, 202, 586)(147, 531, 213, 597, 323, 707, 239, 623)(152, 536, 246, 630, 171, 555, 248, 632)(155, 539, 198, 582, 303, 687, 250, 634)(156, 540, 252, 636, 312, 696, 249, 633)(158, 542, 256, 640, 185, 569, 254, 638)(160, 544, 259, 643, 310, 694, 203, 587)(165, 549, 219, 603, 328, 712, 262, 646)(166, 550, 264, 648, 356, 740, 253, 637)(169, 553, 255, 639, 308, 692, 268, 652)(172, 556, 269, 653, 307, 691, 271, 655)(173, 557, 272, 656, 304, 688, 273, 657)(176, 560, 276, 660, 342, 726, 230, 614)(181, 565, 206, 590, 314, 698, 282, 666)(184, 568, 194, 578, 296, 680, 286, 670)(190, 574, 291, 675, 317, 701, 289, 673)(192, 576, 293, 677, 315, 699, 287, 671)(196, 580, 299, 683, 233, 617, 297, 681)(197, 581, 298, 682, 280, 664, 302, 686)(211, 595, 320, 704, 231, 615, 318, 702)(218, 602, 301, 685, 370, 754, 326, 710)(222, 606, 319, 703, 281, 665, 332, 716)(225, 609, 333, 717, 245, 629, 335, 719)(226, 610, 336, 720, 278, 662, 337, 721)(236, 620, 347, 731, 251, 635, 345, 729)(238, 622, 349, 733, 244, 628, 343, 727)(247, 631, 353, 737, 369, 753, 300, 684)(257, 641, 348, 732, 266, 650, 340, 724)(260, 644, 321, 705, 375, 759, 330, 714)(261, 645, 359, 743, 383, 767, 350, 734)(263, 647, 361, 745, 377, 761, 352, 736)(265, 649, 334, 718, 382, 766, 344, 728)(267, 651, 363, 747, 376, 760, 325, 709)(270, 654, 364, 748, 288, 672, 327, 711)(274, 658, 338, 722, 290, 674, 346, 730)(284, 668, 341, 725, 292, 676, 366, 750)(285, 669, 354, 738, 371, 755, 324, 708)(294, 678, 351, 735, 372, 756, 365, 749)(329, 713, 373, 757, 357, 741, 374, 758)(331, 715, 381, 765, 355, 739, 368, 752)(358, 742, 384, 768, 367, 751, 378, 762)(360, 744, 380, 764, 362, 746, 379, 763)(769, 1153)(770, 1154)(771, 1155)(772, 1156)(773, 1157)(774, 1158)(775, 1159)(776, 1160)(777, 1161)(778, 1162)(779, 1163)(780, 1164)(781, 1165)(782, 1166)(783, 1167)(784, 1168)(785, 1169)(786, 1170)(787, 1171)(788, 1172)(789, 1173)(790, 1174)(791, 1175)(792, 1176)(793, 1177)(794, 1178)(795, 1179)(796, 1180)(797, 1181)(798, 1182)(799, 1183)(800, 1184)(801, 1185)(802, 1186)(803, 1187)(804, 1188)(805, 1189)(806, 1190)(807, 1191)(808, 1192)(809, 1193)(810, 1194)(811, 1195)(812, 1196)(813, 1197)(814, 1198)(815, 1199)(816, 1200)(817, 1201)(818, 1202)(819, 1203)(820, 1204)(821, 1205)(822, 1206)(823, 1207)(824, 1208)(825, 1209)(826, 1210)(827, 1211)(828, 1212)(829, 1213)(830, 1214)(831, 1215)(832, 1216)(833, 1217)(834, 1218)(835, 1219)(836, 1220)(837, 1221)(838, 1222)(839, 1223)(840, 1224)(841, 1225)(842, 1226)(843, 1227)(844, 1228)(845, 1229)(846, 1230)(847, 1231)(848, 1232)(849, 1233)(850, 1234)(851, 1235)(852, 1236)(853, 1237)(854, 1238)(855, 1239)(856, 1240)(857, 1241)(858, 1242)(859, 1243)(860, 1244)(861, 1245)(862, 1246)(863, 1247)(864, 1248)(865, 1249)(866, 1250)(867, 1251)(868, 1252)(869, 1253)(870, 1254)(871, 1255)(872, 1256)(873, 1257)(874, 1258)(875, 1259)(876, 1260)(877, 1261)(878, 1262)(879, 1263)(880, 1264)(881, 1265)(882, 1266)(883, 1267)(884, 1268)(885, 1269)(886, 1270)(887, 1271)(888, 1272)(889, 1273)(890, 1274)(891, 1275)(892, 1276)(893, 1277)(894, 1278)(895, 1279)(896, 1280)(897, 1281)(898, 1282)(899, 1283)(900, 1284)(901, 1285)(902, 1286)(903, 1287)(904, 1288)(905, 1289)(906, 1290)(907, 1291)(908, 1292)(909, 1293)(910, 1294)(911, 1295)(912, 1296)(913, 1297)(914, 1298)(915, 1299)(916, 1300)(917, 1301)(918, 1302)(919, 1303)(920, 1304)(921, 1305)(922, 1306)(923, 1307)(924, 1308)(925, 1309)(926, 1310)(927, 1311)(928, 1312)(929, 1313)(930, 1314)(931, 1315)(932, 1316)(933, 1317)(934, 1318)(935, 1319)(936, 1320)(937, 1321)(938, 1322)(939, 1323)(940, 1324)(941, 1325)(942, 1326)(943, 1327)(944, 1328)(945, 1329)(946, 1330)(947, 1331)(948, 1332)(949, 1333)(950, 1334)(951, 1335)(952, 1336)(953, 1337)(954, 1338)(955, 1339)(956, 1340)(957, 1341)(958, 1342)(959, 1343)(960, 1344)(961, 1345)(962, 1346)(963, 1347)(964, 1348)(965, 1349)(966, 1350)(967, 1351)(968, 1352)(969, 1353)(970, 1354)(971, 1355)(972, 1356)(973, 1357)(974, 1358)(975, 1359)(976, 1360)(977, 1361)(978, 1362)(979, 1363)(980, 1364)(981, 1365)(982, 1366)(983, 1367)(984, 1368)(985, 1369)(986, 1370)(987, 1371)(988, 1372)(989, 1373)(990, 1374)(991, 1375)(992, 1376)(993, 1377)(994, 1378)(995, 1379)(996, 1380)(997, 1381)(998, 1382)(999, 1383)(1000, 1384)(1001, 1385)(1002, 1386)(1003, 1387)(1004, 1388)(1005, 1389)(1006, 1390)(1007, 1391)(1008, 1392)(1009, 1393)(1010, 1394)(1011, 1395)(1012, 1396)(1013, 1397)(1014, 1398)(1015, 1399)(1016, 1400)(1017, 1401)(1018, 1402)(1019, 1403)(1020, 1404)(1021, 1405)(1022, 1406)(1023, 1407)(1024, 1408)(1025, 1409)(1026, 1410)(1027, 1411)(1028, 1412)(1029, 1413)(1030, 1414)(1031, 1415)(1032, 1416)(1033, 1417)(1034, 1418)(1035, 1419)(1036, 1420)(1037, 1421)(1038, 1422)(1039, 1423)(1040, 1424)(1041, 1425)(1042, 1426)(1043, 1427)(1044, 1428)(1045, 1429)(1046, 1430)(1047, 1431)(1048, 1432)(1049, 1433)(1050, 1434)(1051, 1435)(1052, 1436)(1053, 1437)(1054, 1438)(1055, 1439)(1056, 1440)(1057, 1441)(1058, 1442)(1059, 1443)(1060, 1444)(1061, 1445)(1062, 1446)(1063, 1447)(1064, 1448)(1065, 1449)(1066, 1450)(1067, 1451)(1068, 1452)(1069, 1453)(1070, 1454)(1071, 1455)(1072, 1456)(1073, 1457)(1074, 1458)(1075, 1459)(1076, 1460)(1077, 1461)(1078, 1462)(1079, 1463)(1080, 1464)(1081, 1465)(1082, 1466)(1083, 1467)(1084, 1468)(1085, 1469)(1086, 1470)(1087, 1471)(1088, 1472)(1089, 1473)(1090, 1474)(1091, 1475)(1092, 1476)(1093, 1477)(1094, 1478)(1095, 1479)(1096, 1480)(1097, 1481)(1098, 1482)(1099, 1483)(1100, 1484)(1101, 1485)(1102, 1486)(1103, 1487)(1104, 1488)(1105, 1489)(1106, 1490)(1107, 1491)(1108, 1492)(1109, 1493)(1110, 1494)(1111, 1495)(1112, 1496)(1113, 1497)(1114, 1498)(1115, 1499)(1116, 1500)(1117, 1501)(1118, 1502)(1119, 1503)(1120, 1504)(1121, 1505)(1122, 1506)(1123, 1507)(1124, 1508)(1125, 1509)(1126, 1510)(1127, 1511)(1128, 1512)(1129, 1513)(1130, 1514)(1131, 1515)(1132, 1516)(1133, 1517)(1134, 1518)(1135, 1519)(1136, 1520)(1137, 1521)(1138, 1522)(1139, 1523)(1140, 1524)(1141, 1525)(1142, 1526)(1143, 1527)(1144, 1528)(1145, 1529)(1146, 1530)(1147, 1531)(1148, 1532)(1149, 1533)(1150, 1534)(1151, 1535)(1152, 1536)
	L = (1, 771)(2, 775)(3, 778)(4, 780)(5, 769)(6, 783)(7, 785)(8, 770)(9, 772)(10, 792)(11, 794)(12, 795)(13, 797)(14, 773)(15, 800)(16, 774)(17, 805)(18, 807)(19, 808)(20, 776)(21, 811)(22, 777)(23, 779)(24, 782)(25, 819)(26, 820)(27, 814)(28, 824)(29, 825)(30, 781)(31, 818)(32, 831)(33, 833)(34, 834)(35, 784)(36, 786)(37, 788)(38, 841)(39, 842)(40, 844)(41, 787)(42, 840)(43, 849)(44, 789)(45, 853)(46, 790)(47, 856)(48, 791)(49, 793)(50, 862)(51, 863)(52, 859)(53, 867)(54, 796)(55, 870)(56, 871)(57, 874)(58, 876)(59, 877)(60, 798)(61, 799)(62, 801)(63, 803)(64, 886)(65, 887)(66, 889)(67, 802)(68, 885)(69, 894)(70, 804)(71, 806)(72, 900)(73, 901)(74, 897)(75, 905)(76, 907)(77, 909)(78, 910)(79, 809)(80, 810)(81, 915)(82, 916)(83, 917)(84, 812)(85, 920)(86, 813)(87, 823)(88, 890)(89, 815)(90, 927)(91, 816)(92, 930)(93, 817)(94, 934)(95, 933)(96, 937)(97, 821)(98, 940)(99, 941)(100, 906)(101, 822)(102, 945)(103, 944)(104, 949)(105, 826)(106, 828)(107, 952)(108, 953)(109, 955)(110, 827)(111, 951)(112, 959)(113, 829)(114, 873)(115, 830)(116, 832)(117, 965)(118, 966)(119, 962)(120, 970)(121, 971)(122, 972)(123, 973)(124, 835)(125, 836)(126, 850)(127, 837)(128, 980)(129, 838)(130, 983)(131, 839)(132, 987)(133, 986)(134, 990)(135, 843)(136, 993)(137, 994)(138, 845)(139, 847)(140, 998)(141, 999)(142, 1001)(143, 846)(144, 997)(145, 1005)(146, 848)(147, 852)(148, 979)(149, 1009)(150, 851)(151, 1007)(152, 1015)(153, 1017)(154, 1018)(155, 854)(156, 855)(157, 1022)(158, 857)(159, 1025)(160, 858)(161, 866)(162, 1010)(163, 860)(164, 1030)(165, 861)(166, 881)(167, 1033)(168, 864)(169, 1035)(170, 1014)(171, 865)(172, 879)(173, 1038)(174, 1042)(175, 868)(176, 869)(177, 1021)(178, 1046)(179, 872)(180, 1013)(181, 1049)(182, 875)(183, 1029)(184, 1053)(185, 961)(186, 1055)(187, 1056)(188, 1039)(189, 1057)(190, 878)(191, 1060)(192, 880)(193, 882)(194, 883)(195, 1065)(196, 884)(197, 1069)(198, 1068)(199, 1072)(200, 888)(201, 1075)(202, 1076)(203, 892)(204, 926)(205, 1080)(206, 891)(207, 1078)(208, 1084)(209, 893)(210, 1086)(211, 895)(212, 1089)(213, 896)(214, 904)(215, 956)(216, 898)(217, 1094)(218, 899)(219, 914)(220, 1097)(221, 902)(222, 1099)(223, 931)(224, 903)(225, 912)(226, 1102)(227, 1106)(228, 908)(229, 1093)(230, 1109)(231, 943)(232, 1111)(233, 1112)(234, 1103)(235, 1113)(236, 911)(237, 1116)(238, 913)(239, 1119)(240, 1115)(241, 1120)(242, 1101)(243, 1117)(244, 918)(245, 919)(246, 921)(247, 923)(248, 1095)(249, 1081)(250, 1122)(251, 922)(252, 1124)(253, 924)(254, 954)(255, 925)(256, 1079)(257, 1126)(258, 1118)(259, 1098)(260, 928)(261, 929)(262, 1128)(263, 932)(264, 935)(265, 1067)(266, 936)(267, 1107)(268, 1077)(269, 938)(270, 939)(271, 1073)(272, 942)(273, 1063)(274, 1082)(275, 1088)(276, 948)(277, 946)(278, 1127)(279, 1066)(280, 947)(281, 1129)(282, 1114)(283, 1134)(284, 950)(285, 1135)(286, 1123)(287, 1125)(288, 958)(289, 1131)(290, 957)(291, 1132)(292, 1110)(293, 1133)(294, 960)(295, 1024)(296, 969)(297, 1002)(298, 963)(299, 1137)(300, 964)(301, 977)(302, 1031)(303, 967)(304, 1140)(305, 984)(306, 968)(307, 975)(308, 1141)(309, 1058)(310, 1136)(311, 1059)(312, 1142)(313, 1037)(314, 1061)(315, 974)(316, 1143)(317, 976)(318, 1000)(319, 978)(320, 1008)(321, 1146)(322, 1144)(323, 1139)(324, 981)(325, 982)(326, 1147)(327, 985)(328, 988)(329, 1020)(330, 989)(331, 1027)(332, 1050)(333, 991)(334, 992)(335, 1047)(336, 995)(337, 1043)(338, 1011)(339, 1034)(340, 996)(341, 1152)(342, 1062)(343, 1145)(344, 1004)(345, 1149)(346, 1003)(347, 1150)(348, 1026)(349, 1151)(350, 1006)(351, 1044)(352, 1012)(353, 1016)(354, 1054)(355, 1019)(356, 1148)(357, 1023)(358, 1028)(359, 1051)(360, 1138)(361, 1048)(362, 1032)(363, 1036)(364, 1041)(365, 1040)(366, 1045)(367, 1052)(368, 1064)(369, 1130)(370, 1070)(371, 1071)(372, 1091)(373, 1074)(374, 1083)(375, 1090)(376, 1085)(377, 1087)(378, 1092)(379, 1121)(380, 1096)(381, 1100)(382, 1105)(383, 1104)(384, 1108)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4, 12 ), ( 4, 12, 4, 12, 4, 12, 4, 12 ) }
Outer automorphisms :: reflexible
Dual of E17.2368
Graph:: simple bipartite
	v = 480 e = 768 f = 256
	degree seq :: [ 2^384, 8^96 ]

E17.2370 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^3, T1^8, T1^8, T1 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^3 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^-1 * T2 * T1, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-1, (T1 * T2 * T1^-2 * T2 * T1)^4, T2 * T1^3 * T2 * T1^-2 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 21, 20, 10, 4)(3, 7, 15, 27, 45, 31, 17, 8)(6, 13, 25, 41, 66, 44, 26, 14)(9, 18, 32, 52, 77, 49, 29, 16)(12, 23, 39, 62, 95, 65, 40, 24)(19, 34, 55, 85, 126, 84, 54, 33)(22, 37, 60, 91, 137, 94, 61, 38)(28, 47, 74, 111, 165, 114, 75, 48)(30, 50, 78, 117, 154, 103, 68, 42)(35, 57, 88, 131, 192, 130, 87, 56)(36, 58, 89, 133, 195, 136, 90, 59)(43, 69, 104, 155, 212, 145, 97, 63)(46, 72, 109, 161, 235, 164, 110, 73)(51, 80, 120, 177, 256, 176, 119, 79)(53, 82, 123, 181, 263, 184, 124, 83)(64, 98, 146, 213, 294, 203, 139, 92)(67, 101, 151, 219, 317, 222, 152, 102)(70, 106, 158, 229, 330, 228, 157, 105)(71, 107, 159, 231, 282, 234, 160, 108)(76, 115, 170, 247, 344, 243, 167, 112)(81, 121, 179, 259, 360, 262, 180, 122)(86, 128, 189, 273, 379, 276, 190, 129)(93, 140, 204, 295, 392, 285, 197, 134)(96, 143, 209, 301, 411, 304, 210, 144)(99, 148, 216, 311, 424, 310, 215, 147)(100, 149, 217, 313, 278, 316, 218, 150)(113, 168, 244, 345, 449, 336, 237, 162)(116, 172, 250, 290, 200, 289, 249, 171)(118, 174, 253, 355, 470, 358, 254, 175)(125, 185, 268, 373, 485, 369, 265, 182)(127, 187, 271, 375, 458, 378, 272, 188)(132, 135, 198, 286, 393, 388, 281, 194)(138, 201, 291, 397, 517, 400, 292, 202)(141, 206, 298, 407, 530, 406, 297, 205)(142, 207, 299, 269, 186, 270, 300, 208)(153, 223, 322, 433, 551, 430, 319, 220)(156, 226, 327, 439, 561, 442, 328, 227)(163, 238, 337, 450, 570, 445, 333, 232)(166, 241, 341, 453, 581, 456, 342, 242)(169, 246, 348, 463, 366, 462, 347, 245)(173, 251, 353, 417, 306, 418, 354, 252)(178, 233, 334, 446, 571, 479, 363, 258)(183, 266, 370, 486, 605, 480, 364, 260)(191, 277, 384, 501, 621, 497, 381, 274)(193, 279, 385, 502, 610, 504, 386, 280)(196, 283, 389, 507, 630, 509, 390, 284)(199, 288, 396, 516, 642, 515, 395, 287)(211, 305, 416, 537, 656, 534, 413, 302)(214, 308, 421, 541, 664, 544, 422, 309)(221, 320, 431, 552, 672, 547, 427, 314)(224, 324, 436, 340, 240, 339, 435, 323)(225, 325, 437, 523, 402, 524, 438, 326)(230, 315, 428, 548, 673, 568, 444, 332)(236, 335, 447, 573, 631, 563, 440, 329)(239, 331, 443, 566, 687, 580, 452, 338)(248, 350, 399, 520, 644, 592, 467, 351)(255, 359, 475, 598, 641, 518, 472, 356)(257, 361, 476, 599, 676, 601, 477, 362)(261, 365, 481, 606, 655, 532, 408, 352)(264, 367, 482, 550, 675, 608, 483, 368)(267, 372, 489, 614, 494, 613, 488, 371)(275, 382, 498, 622, 720, 618, 492, 376)(293, 401, 522, 646, 594, 471, 519, 398)(296, 404, 527, 650, 732, 653, 528, 405)(303, 414, 535, 657, 617, 491, 374, 409)(307, 419, 539, 635, 511, 636, 540, 420)(312, 410, 377, 493, 619, 670, 546, 426)(318, 429, 549, 484, 609, 666, 542, 423)(321, 425, 545, 668, 593, 680, 554, 432)(343, 457, 584, 651, 529, 412, 533, 454)(346, 460, 587, 704, 723, 662, 543, 461)(349, 465, 589, 696, 576, 697, 590, 466)(357, 473, 595, 708, 724, 661, 538, 468)(380, 495, 574, 448, 575, 695, 620, 496)(383, 500, 624, 638, 512, 637, 623, 499)(387, 505, 627, 721, 741, 665, 626, 503)(391, 510, 634, 722, 684, 562, 632, 508)(394, 513, 639, 604, 713, 725, 640, 514)(403, 525, 648, 628, 506, 629, 649, 526)(415, 531, 654, 734, 683, 738, 659, 536)(434, 556, 455, 582, 701, 730, 652, 557)(441, 564, 487, 612, 718, 729, 647, 559)(451, 578, 660, 739, 762, 757, 700, 579)(459, 585, 667, 742, 692, 753, 703, 586)(464, 558, 469, 560, 663, 731, 705, 588)(474, 597, 669, 743, 693, 754, 709, 596)(478, 602, 658, 737, 761, 759, 710, 600)(490, 615, 719, 760, 714, 748, 674, 616)(521, 643, 569, 691, 740, 764, 727, 645)(553, 678, 728, 765, 756, 706, 591, 679)(555, 681, 733, 767, 746, 716, 607, 682)(565, 686, 735, 768, 747, 717, 611, 685)(567, 689, 726, 763, 758, 702, 583, 688)(572, 633, 625, 671, 745, 766, 755, 694)(577, 698, 736, 711, 603, 712, 744, 699)(677, 749, 707, 751, 690, 752, 715, 750)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 166)(114, 169)(115, 171)(117, 173)(119, 174)(120, 178)(122, 172)(123, 182)(124, 183)(126, 186)(129, 187)(130, 191)(131, 193)(133, 196)(136, 199)(137, 200)(139, 201)(140, 205)(144, 207)(145, 211)(146, 214)(148, 208)(151, 220)(152, 221)(154, 224)(155, 225)(157, 226)(158, 230)(159, 232)(160, 233)(161, 236)(164, 239)(165, 240)(167, 241)(168, 245)(170, 248)(175, 251)(176, 255)(177, 257)(179, 260)(180, 261)(181, 264)(184, 267)(185, 269)(188, 270)(189, 274)(190, 275)(192, 278)(194, 279)(195, 282)(197, 283)(198, 287)(202, 289)(203, 293)(204, 296)(206, 290)(209, 302)(210, 303)(212, 306)(213, 307)(215, 308)(216, 312)(217, 314)(218, 315)(219, 318)(222, 321)(223, 323)(227, 325)(228, 329)(229, 331)(231, 288)(234, 284)(235, 330)(237, 335)(238, 338)(242, 339)(243, 343)(244, 346)(246, 340)(247, 349)(249, 350)(250, 352)(252, 324)(253, 356)(254, 357)(256, 360)(258, 361)(259, 359)(262, 362)(263, 366)(265, 367)(266, 371)(268, 374)(271, 376)(272, 377)(273, 380)(276, 383)(277, 313)(280, 316)(281, 387)(285, 391)(286, 394)(291, 398)(292, 399)(294, 402)(295, 403)(297, 404)(298, 408)(299, 409)(300, 410)(301, 412)(304, 415)(305, 417)(309, 419)(310, 423)(311, 425)(317, 424)(319, 429)(320, 432)(322, 434)(326, 418)(327, 440)(328, 441)(332, 443)(333, 396)(334, 390)(336, 448)(337, 451)(341, 454)(342, 455)(344, 458)(345, 459)(347, 460)(348, 464)(351, 465)(353, 468)(354, 469)(355, 471)(358, 474)(363, 478)(364, 475)(365, 477)(368, 462)(369, 484)(370, 487)(372, 463)(373, 490)(375, 457)(378, 466)(379, 494)(381, 495)(382, 499)(384, 427)(385, 503)(386, 428)(388, 506)(389, 508)(392, 511)(393, 512)(395, 513)(397, 518)(400, 521)(401, 523)(405, 525)(406, 529)(407, 531)(411, 530)(413, 533)(414, 536)(416, 538)(420, 524)(421, 542)(422, 543)(426, 545)(430, 550)(431, 553)(433, 555)(435, 556)(436, 558)(437, 559)(438, 560)(439, 562)(442, 565)(444, 567)(445, 569)(446, 572)(447, 574)(449, 576)(450, 577)(452, 578)(453, 534)(456, 583)(461, 585)(467, 591)(470, 593)(472, 519)(473, 596)(476, 600)(479, 603)(480, 604)(481, 607)(482, 549)(483, 587)(485, 610)(486, 611)(488, 612)(489, 588)(491, 615)(492, 584)(493, 590)(496, 613)(497, 573)(498, 595)(500, 614)(501, 625)(502, 609)(504, 616)(505, 628)(507, 631)(509, 633)(510, 635)(514, 637)(515, 641)(516, 643)(517, 642)(520, 645)(522, 647)(526, 636)(527, 651)(528, 652)(532, 654)(535, 658)(537, 660)(539, 662)(540, 663)(541, 665)(544, 667)(546, 669)(547, 671)(548, 674)(551, 676)(552, 677)(554, 678)(557, 681)(561, 683)(563, 632)(564, 685)(566, 688)(568, 690)(570, 692)(571, 693)(575, 696)(579, 698)(580, 656)(581, 687)(582, 702)(586, 697)(589, 706)(592, 707)(594, 680)(597, 668)(598, 639)(599, 675)(601, 682)(602, 711)(605, 714)(606, 715)(608, 710)(617, 700)(618, 650)(619, 703)(620, 718)(621, 630)(622, 709)(623, 708)(624, 705)(626, 666)(627, 701)(629, 638)(634, 723)(640, 724)(644, 726)(646, 728)(648, 730)(649, 731)(653, 733)(655, 735)(657, 736)(659, 737)(661, 739)(664, 740)(670, 744)(672, 746)(673, 747)(679, 749)(684, 738)(686, 734)(689, 751)(691, 742)(694, 754)(695, 756)(699, 753)(704, 759)(712, 743)(713, 760)(716, 750)(717, 748)(719, 757)(720, 755)(721, 758)(722, 761)(725, 762)(727, 763)(729, 765)(732, 766)(741, 764)(745, 767)(752, 768)
	local type(s) :: { ( 3^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2371
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 96 e = 384 f = 256
	degree seq :: [ 8^96 ]

E17.2371 :: Family: { 1 } :: Oriented family(ies): { E1b }
Signature :: (0; {2, 3, 8})
Quotient :: regular
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, T1^3, (F * T1)^2, (F * T2)^2, (T1^-1 * T2)^8, (T2 * T1 * T2 * T1 * T2 * T1^-1)^4, (T2 * T1 * T2 * T1^-1)^6, T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^-1 * T2 * T1^-1, (T2 * T1^-1 * T2 * T1 * T2 * T1 * T2 * T1^-1)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(59, 83, 84)(60, 85, 86)(61, 87, 88)(62, 89, 90)(63, 91, 92)(64, 93, 94)(65, 95, 96)(66, 97, 75)(76, 105, 106)(77, 107, 108)(78, 109, 110)(79, 111, 112)(80, 113, 114)(81, 115, 116)(82, 117, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(118, 157, 158)(119, 159, 160)(120, 161, 162)(121, 163, 164)(122, 165, 166)(123, 167, 168)(124, 169, 125)(126, 170, 171)(127, 172, 173)(128, 174, 175)(129, 176, 177)(130, 178, 179)(131, 180, 181)(144, 194, 195)(145, 196, 197)(146, 198, 199)(147, 200, 201)(148, 202, 203)(149, 204, 150)(151, 205, 206)(152, 207, 208)(153, 209, 210)(154, 211, 212)(155, 213, 214)(156, 215, 216)(182, 242, 243)(183, 244, 245)(184, 246, 247)(185, 248, 249)(186, 250, 251)(187, 252, 188)(189, 253, 254)(190, 255, 256)(191, 257, 258)(192, 259, 260)(193, 261, 262)(217, 424, 508)(218, 426, 358)(219, 427, 421)(220, 429, 529)(221, 431, 707)(222, 432, 223)(224, 435, 708)(225, 437, 340)(226, 439, 697)(227, 440, 484)(228, 442, 281)(229, 444, 359)(230, 446, 548)(231, 322, 599)(232, 449, 553)(233, 451, 603)(234, 453, 409)(235, 454, 236)(237, 457, 626)(238, 459, 670)(239, 461, 726)(240, 462, 494)(241, 464, 326)(263, 483, 485)(264, 486, 488)(265, 489, 490)(266, 491, 492)(267, 493, 496)(268, 497, 498)(269, 499, 502)(270, 503, 504)(271, 505, 506)(272, 507, 510)(273, 511, 512)(274, 513, 514)(275, 515, 518)(276, 519, 521)(277, 522, 455)(278, 438, 523)(279, 447, 526)(280, 527, 436)(282, 530, 531)(283, 471, 532)(284, 533, 392)(285, 372, 534)(286, 535, 538)(287, 407, 539)(288, 540, 541)(289, 380, 542)(290, 543, 350)(291, 395, 544)(292, 388, 546)(293, 547, 371)(294, 472, 524)(295, 552, 554)(296, 555, 556)(297, 406, 557)(298, 558, 369)(299, 353, 559)(300, 346, 561)(301, 562, 394)(302, 381, 536)(303, 566, 568)(304, 569, 570)(305, 343, 571)(306, 572, 323)(307, 460, 573)(308, 574, 575)(309, 576, 577)(310, 578, 433)(311, 334, 579)(312, 365, 581)(313, 582, 352)(314, 408, 516)(315, 586, 588)(316, 589, 590)(317, 363, 591)(318, 592, 324)(319, 593, 594)(320, 595, 596)(321, 597, 598)(325, 600, 458)(327, 344, 550)(328, 606, 608)(329, 425, 610)(330, 611, 333)(331, 614, 500)(332, 456, 434)(335, 616, 617)(336, 618, 609)(337, 619, 411)(338, 422, 621)(339, 364, 564)(341, 624, 627)(342, 463, 628)(345, 386, 632)(347, 633, 634)(348, 635, 477)(349, 636, 637)(351, 393, 370)(354, 638, 404)(355, 639, 580)(356, 420, 640)(357, 641, 487)(360, 405, 644)(361, 428, 647)(362, 615, 648)(366, 651, 607)(367, 652, 384)(368, 653, 654)(373, 655, 470)(374, 656, 545)(375, 481, 657)(376, 645, 466)(377, 387, 604)(378, 475, 662)(379, 396, 663)(382, 667, 495)(383, 669, 402)(385, 585, 672)(389, 675, 625)(390, 676, 416)(391, 677, 678)(397, 679, 560)(398, 680, 482)(399, 423, 622)(400, 683, 684)(401, 685, 403)(410, 690, 501)(412, 693, 567)(413, 583, 473)(414, 695, 468)(415, 450, 417)(418, 551, 698)(419, 445, 694)(430, 705, 706)(441, 714, 715)(443, 717, 525)(448, 692, 661)(452, 721, 722)(465, 730, 587)(467, 710, 469)(474, 734, 509)(476, 658, 478)(479, 565, 737)(480, 631, 718)(517, 709, 751)(520, 724, 752)(528, 739, 755)(537, 688, 713)(549, 744, 750)(563, 746, 753)(584, 747, 748)(601, 749, 757)(602, 701, 759)(605, 681, 729)(612, 723, 711)(613, 686, 745)(620, 728, 756)(623, 727, 767)(629, 738, 674)(630, 720, 704)(642, 754, 763)(643, 761, 703)(646, 659, 702)(649, 741, 700)(650, 664, 743)(660, 736, 689)(665, 732, 687)(666, 731, 696)(668, 758, 764)(671, 733, 682)(673, 742, 716)(691, 719, 765)(699, 725, 760)(712, 740, 766)(735, 762, 768)
	L = (1, 3)(2, 5)(4, 8)(6, 11)(7, 12)(9, 15)(10, 16)(13, 21)(14, 22)(17, 27)(18, 28)(19, 29)(20, 30)(23, 35)(24, 36)(25, 37)(26, 38)(31, 47)(32, 48)(33, 49)(34, 50)(39, 59)(40, 60)(41, 61)(42, 62)(43, 63)(44, 64)(45, 65)(46, 66)(51, 75)(52, 76)(53, 77)(54, 78)(55, 79)(56, 80)(57, 81)(58, 82)(67, 98)(68, 99)(69, 100)(70, 101)(71, 102)(72, 103)(73, 104)(74, 83)(84, 118)(85, 119)(86, 120)(87, 121)(88, 122)(89, 123)(90, 124)(91, 125)(92, 126)(93, 127)(94, 128)(95, 129)(96, 130)(97, 131)(105, 144)(106, 145)(107, 146)(108, 147)(109, 148)(110, 149)(111, 150)(112, 151)(113, 152)(114, 153)(115, 154)(116, 155)(117, 156)(132, 182)(133, 183)(134, 184)(135, 185)(136, 186)(137, 187)(138, 188)(139, 189)(140, 190)(141, 191)(142, 192)(143, 193)(157, 217)(158, 218)(159, 219)(160, 220)(161, 221)(162, 222)(163, 223)(164, 224)(165, 225)(166, 226)(167, 227)(168, 228)(169, 229)(170, 230)(171, 231)(172, 232)(173, 233)(174, 234)(175, 235)(176, 236)(177, 237)(178, 238)(179, 239)(180, 240)(181, 241)(194, 398)(195, 276)(196, 400)(197, 401)(198, 403)(199, 281)(200, 405)(201, 307)(202, 357)(203, 407)(204, 344)(205, 409)(206, 411)(207, 412)(208, 340)(209, 413)(210, 415)(211, 417)(212, 263)(213, 419)(214, 421)(215, 331)(216, 422)(242, 461)(243, 280)(244, 452)(245, 467)(246, 469)(247, 287)(248, 451)(249, 319)(250, 325)(251, 435)(252, 364)(253, 473)(254, 433)(255, 465)(256, 360)(257, 446)(258, 476)(259, 478)(260, 264)(261, 480)(262, 482)(265, 484)(266, 487)(267, 494)(268, 458)(269, 500)(270, 495)(271, 394)(272, 508)(273, 501)(274, 352)(275, 516)(277, 509)(278, 371)(279, 524)(282, 517)(283, 333)(284, 520)(285, 436)(286, 536)(288, 525)(289, 305)(290, 528)(291, 529)(292, 538)(293, 548)(294, 550)(295, 553)(296, 537)(297, 317)(298, 430)(299, 521)(300, 518)(301, 453)(302, 564)(303, 567)(304, 545)(306, 549)(308, 551)(309, 345)(310, 368)(311, 510)(312, 526)(313, 583)(314, 444)(315, 587)(316, 560)(318, 563)(320, 565)(321, 356)(322, 391)(323, 496)(324, 502)(326, 602)(327, 604)(328, 607)(329, 546)(330, 612)(332, 580)(334, 584)(335, 585)(336, 375)(337, 349)(338, 620)(339, 622)(341, 625)(342, 561)(343, 629)(346, 601)(347, 603)(348, 605)(350, 488)(351, 609)(353, 613)(354, 615)(355, 445)(358, 643)(359, 645)(361, 634)(362, 581)(363, 649)(365, 441)(366, 437)(367, 623)(369, 626)(370, 577)(372, 630)(373, 425)(374, 631)(376, 658)(377, 659)(378, 661)(379, 592)(380, 664)(381, 432)(382, 431)(383, 670)(384, 594)(385, 610)(386, 673)(387, 454)(388, 642)(389, 644)(390, 646)(392, 485)(393, 598)(395, 650)(396, 463)(397, 459)(399, 681)(402, 448)(404, 579)(406, 686)(408, 685)(410, 683)(414, 694)(416, 697)(418, 628)(420, 699)(423, 450)(424, 701)(426, 671)(427, 703)(428, 660)(429, 669)(434, 557)(438, 665)(439, 711)(440, 676)(442, 657)(443, 666)(447, 668)(449, 719)(455, 490)(456, 637)(457, 723)(460, 674)(462, 728)(464, 696)(466, 727)(468, 692)(470, 572)(471, 720)(472, 710)(474, 721)(475, 718)(477, 573)(479, 648)(481, 712)(483, 738)(486, 741)(489, 743)(491, 745)(492, 504)(493, 742)(497, 704)(498, 512)(499, 725)(503, 748)(505, 687)(506, 531)(507, 740)(511, 750)(513, 732)(514, 541)(515, 735)(519, 695)(522, 753)(523, 556)(527, 662)(530, 755)(532, 570)(533, 757)(534, 575)(535, 691)(539, 632)(540, 706)(542, 590)(543, 715)(544, 596)(547, 627)(552, 707)(554, 591)(555, 752)(558, 763)(559, 617)(562, 647)(566, 684)(568, 611)(569, 654)(571, 588)(574, 734)(576, 747)(578, 764)(582, 608)(586, 722)(589, 678)(593, 700)(595, 667)(597, 744)(599, 765)(600, 652)(606, 682)(614, 761)(616, 690)(618, 746)(619, 768)(621, 736)(624, 731)(633, 716)(635, 641)(636, 739)(638, 751)(639, 749)(640, 708)(651, 760)(653, 705)(655, 717)(656, 714)(663, 713)(672, 729)(675, 766)(677, 724)(679, 754)(680, 759)(688, 689)(693, 762)(698, 767)(702, 737)(709, 733)(726, 756)(730, 758)
	local type(s) :: { ( 8^3 ) }
Outer automorphisms :: reflexible
Dual of E17.2370
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple bipartite
	v = 256 e = 384 f = 96
	degree seq :: [ 3^256 ]

E17.2372 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2 * T1 * T2 * T1 * T2^-1)^4, (T1 * T2 * T1 * T2^-1)^6, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^4 ]
Map:: polytopal
	R = (1, 3, 4)(2, 5, 6)(7, 11, 12)(8, 13, 14)(9, 15, 16)(10, 17, 18)(19, 27, 28)(20, 29, 30)(21, 31, 32)(22, 33, 34)(23, 35, 36)(24, 37, 38)(25, 39, 40)(26, 41, 42)(43, 59, 60)(44, 61, 62)(45, 63, 64)(46, 65, 66)(47, 67, 68)(48, 69, 70)(49, 71, 72)(50, 73, 74)(51, 75, 76)(52, 77, 78)(53, 79, 80)(54, 81, 82)(55, 83, 84)(56, 85, 86)(57, 87, 88)(58, 89, 90)(91, 119, 120)(92, 121, 122)(93, 123, 124)(94, 125, 126)(95, 127, 128)(96, 129, 130)(97, 131, 98)(99, 132, 133)(100, 134, 135)(101, 136, 137)(102, 138, 139)(103, 140, 141)(104, 142, 143)(105, 144, 145)(106, 146, 147)(107, 148, 149)(108, 150, 151)(109, 152, 153)(110, 154, 155)(111, 156, 112)(113, 157, 158)(114, 159, 160)(115, 161, 162)(116, 163, 164)(117, 165, 166)(118, 167, 168)(169, 219, 220)(170, 221, 222)(171, 223, 224)(172, 225, 226)(173, 227, 228)(174, 229, 175)(176, 230, 231)(177, 232, 233)(178, 234, 235)(179, 236, 237)(180, 238, 239)(181, 240, 241)(182, 242, 243)(183, 244, 245)(184, 246, 247)(185, 248, 249)(186, 250, 251)(187, 252, 188)(189, 253, 254)(190, 255, 256)(191, 257, 258)(192, 259, 260)(193, 261, 262)(194, 386, 687)(195, 356, 617)(196, 389, 444)(197, 270, 488)(198, 392, 412)(199, 326, 200)(201, 395, 327)(202, 396, 436)(203, 398, 696)(204, 346, 625)(205, 311, 425)(206, 402, 699)(207, 404, 701)(208, 406, 688)(209, 408, 616)(210, 265, 474)(211, 411, 328)(212, 393, 213)(214, 344, 394)(215, 413, 620)(216, 415, 708)(217, 417, 698)(218, 316, 601)(263, 469, 461)(264, 471, 473)(266, 476, 478)(267, 479, 481)(268, 482, 484)(269, 485, 487)(271, 490, 492)(272, 493, 495)(273, 496, 498)(274, 499, 501)(275, 502, 504)(276, 505, 507)(277, 508, 510)(278, 511, 513)(279, 514, 516)(280, 517, 420)(281, 519, 521)(282, 522, 446)(283, 524, 526)(284, 527, 529)(285, 530, 532)(286, 533, 535)(287, 536, 538)(288, 539, 541)(289, 542, 544)(290, 545, 547)(291, 548, 550)(292, 551, 531)(293, 552, 554)(294, 555, 557)(295, 438, 559)(296, 440, 561)(297, 562, 564)(298, 565, 567)(299, 568, 570)(300, 571, 520)(301, 449, 448)(302, 451, 430)(303, 573, 575)(304, 576, 578)(305, 579, 506)(306, 580, 582)(307, 583, 585)(308, 586, 588)(309, 589, 540)(310, 590, 592)(312, 593, 595)(313, 596, 466)(314, 598, 494)(315, 599, 455)(317, 603, 605)(318, 606, 608)(319, 609, 560)(320, 610, 612)(321, 464, 614)(322, 615, 409)(323, 407, 388)(324, 387, 618)(325, 619, 414)(329, 391, 624)(330, 604, 419)(331, 418, 400)(332, 399, 515)(333, 423, 422)(334, 627, 629)(335, 630, 380)(336, 379, 370)(337, 369, 632)(338, 634, 382)(339, 372, 636)(340, 584, 385)(341, 384, 375)(342, 374, 525)(343, 640, 642)(345, 643, 500)(347, 566, 445)(348, 600, 644)(349, 645, 647)(350, 648, 613)(351, 649, 651)(352, 652, 442)(353, 654, 486)(354, 569, 429)(355, 602, 655)(357, 656, 657)(358, 450, 512)(359, 546, 421)(360, 581, 659)(361, 660, 662)(362, 663, 628)(363, 664, 666)(364, 667, 669)(365, 670, 480)(366, 549, 671)(367, 467, 672)(368, 673, 441)(371, 378, 674)(373, 381, 677)(376, 383, 574)(377, 679, 681)(390, 405, 689)(397, 410, 695)(401, 416, 594)(403, 700, 468)(424, 556, 447)(426, 591, 702)(427, 711, 713)(428, 607, 714)(431, 716, 641)(432, 717, 718)(433, 719, 721)(434, 722, 665)(435, 723, 623)(437, 725, 472)(439, 503, 726)(443, 728, 465)(452, 534, 732)(453, 733, 735)(454, 646, 707)(456, 736, 680)(457, 715, 658)(458, 737, 668)(459, 709, 720)(460, 738, 563)(462, 703, 477)(463, 537, 740)(470, 724, 693)(475, 739, 744)(483, 748, 683)(489, 750, 749)(491, 752, 633)(497, 754, 675)(509, 758, 690)(518, 710, 753)(523, 730, 755)(528, 757, 756)(543, 706, 761)(553, 759, 763)(558, 764, 639)(572, 731, 765)(577, 697, 760)(587, 762, 751)(597, 678, 727)(611, 682, 729)(621, 766, 768)(622, 704, 686)(626, 705, 691)(631, 742, 650)(635, 692, 712)(637, 767, 653)(638, 685, 741)(661, 684, 746)(676, 743, 734)(694, 745, 747)(769, 770)(771, 775)(772, 776)(773, 777)(774, 778)(779, 787)(780, 788)(781, 789)(782, 790)(783, 791)(784, 792)(785, 793)(786, 794)(795, 811)(796, 812)(797, 813)(798, 814)(799, 815)(800, 816)(801, 817)(802, 818)(803, 819)(804, 820)(805, 821)(806, 822)(807, 823)(808, 824)(809, 825)(810, 826)(827, 858)(828, 859)(829, 860)(830, 861)(831, 862)(832, 863)(833, 864)(834, 865)(835, 866)(836, 867)(837, 868)(838, 869)(839, 870)(840, 871)(841, 872)(842, 843)(844, 873)(845, 874)(846, 875)(847, 876)(848, 877)(849, 878)(850, 879)(851, 880)(852, 881)(853, 882)(854, 883)(855, 884)(856, 885)(857, 886)(887, 937)(888, 938)(889, 939)(890, 940)(891, 941)(892, 942)(893, 943)(894, 944)(895, 945)(896, 946)(897, 947)(898, 948)(899, 949)(900, 950)(901, 951)(902, 952)(903, 953)(904, 954)(905, 955)(906, 956)(907, 957)(908, 958)(909, 959)(910, 960)(911, 961)(912, 962)(913, 963)(914, 964)(915, 965)(916, 966)(917, 967)(918, 968)(919, 969)(920, 970)(921, 971)(922, 972)(923, 973)(924, 974)(925, 975)(926, 976)(927, 977)(928, 978)(929, 979)(930, 980)(931, 981)(932, 982)(933, 983)(934, 984)(935, 985)(936, 986)(987, 1171)(988, 1188)(989, 1087)(990, 1190)(991, 1191)(992, 1193)(993, 1031)(994, 1196)(995, 1197)(996, 1198)(997, 1200)(998, 1096)(999, 1085)(1000, 1203)(1001, 1204)(1002, 1206)(1003, 1208)(1004, 1064)(1005, 1210)(1006, 1047)(1007, 1212)(1008, 1123)(1009, 1213)(1010, 1183)(1011, 1214)(1012, 1118)(1013, 1216)(1014, 1217)(1015, 1219)(1016, 1033)(1017, 1222)(1018, 1223)(1019, 1163)(1020, 1225)(1021, 1063)(1022, 1116)(1023, 1228)(1024, 1229)(1025, 1172)(1026, 1232)(1027, 1089)(1028, 1234)(1029, 1049)(1030, 1236)(1032, 1038)(1034, 1048)(1035, 1050)(1036, 1052)(1037, 1054)(1039, 1072)(1040, 1074)(1041, 1076)(1042, 1078)(1043, 1081)(1044, 1083)(1045, 1086)(1046, 1088)(1051, 1079)(1053, 1084)(1055, 1112)(1056, 1114)(1057, 1117)(1058, 1119)(1059, 1120)(1060, 1122)(1061, 1125)(1062, 1080)(1065, 1129)(1066, 1131)(1067, 1132)(1068, 1134)(1069, 1136)(1070, 1071)(1073, 1115)(1075, 1095)(1077, 1124)(1082, 1127)(1090, 1195)(1091, 1201)(1092, 1202)(1093, 1207)(1094, 1211)(1097, 1221)(1098, 1226)(1099, 1227)(1100, 1231)(1101, 1235)(1102, 1185)(1103, 1257)(1104, 1389)(1105, 1399)(1106, 1401)(1107, 1243)(1108, 1405)(1109, 1406)(1110, 1407)(1111, 1370)(1113, 1192)(1121, 1218)(1126, 1426)(1128, 1162)(1130, 1174)(1133, 1411)(1135, 1170)(1137, 1286)(1138, 1394)(1139, 1169)(1140, 1443)(1141, 1165)(1142, 1446)(1143, 1421)(1144, 1158)(1145, 1154)(1146, 1291)(1147, 1340)(1148, 1450)(1149, 1451)(1150, 1238)(1151, 1453)(1152, 1365)(1153, 1454)(1155, 1296)(1156, 1409)(1157, 1408)(1159, 1458)(1160, 1439)(1161, 1324)(1164, 1460)(1166, 1304)(1167, 1465)(1168, 1436)(1173, 1302)(1175, 1321)(1176, 1320)(1177, 1470)(1178, 1471)(1179, 1350)(1180, 1325)(1181, 1474)(1182, 1240)(1184, 1477)(1186, 1345)(1187, 1448)(1189, 1467)(1194, 1420)(1199, 1371)(1205, 1422)(1209, 1485)(1215, 1486)(1220, 1364)(1224, 1368)(1230, 1366)(1233, 1483)(1237, 1511)(1239, 1513)(1241, 1388)(1242, 1514)(1244, 1515)(1245, 1283)(1246, 1284)(1247, 1462)(1248, 1288)(1249, 1289)(1250, 1502)(1251, 1293)(1252, 1294)(1253, 1444)(1254, 1299)(1255, 1300)(1256, 1519)(1258, 1429)(1259, 1342)(1260, 1343)(1261, 1452)(1262, 1275)(1263, 1274)(1264, 1480)(1265, 1352)(1266, 1353)(1267, 1403)(1268, 1309)(1269, 1308)(1270, 1414)(1271, 1362)(1272, 1363)(1273, 1475)(1276, 1491)(1277, 1372)(1278, 1373)(1279, 1391)(1280, 1329)(1281, 1328)(1282, 1527)(1285, 1524)(1287, 1526)(1290, 1528)(1292, 1499)(1295, 1521)(1297, 1455)(1298, 1522)(1301, 1495)(1303, 1469)(1305, 1379)(1306, 1380)(1307, 1464)(1310, 1506)(1311, 1333)(1312, 1412)(1313, 1331)(1314, 1382)(1315, 1381)(1316, 1375)(1317, 1418)(1318, 1419)(1319, 1482)(1322, 1456)(1323, 1384)(1326, 1359)(1327, 1360)(1330, 1529)(1332, 1427)(1334, 1397)(1335, 1396)(1336, 1355)(1337, 1433)(1338, 1434)(1339, 1530)(1341, 1534)(1344, 1523)(1346, 1466)(1347, 1516)(1348, 1509)(1349, 1390)(1351, 1473)(1354, 1517)(1356, 1423)(1357, 1520)(1358, 1535)(1361, 1487)(1367, 1488)(1369, 1449)(1374, 1481)(1376, 1440)(1377, 1494)(1378, 1505)(1383, 1531)(1385, 1410)(1386, 1489)(1387, 1525)(1392, 1500)(1393, 1437)(1395, 1476)(1398, 1533)(1400, 1536)(1402, 1478)(1404, 1498)(1413, 1503)(1415, 1441)(1416, 1508)(1417, 1432)(1424, 1430)(1425, 1496)(1428, 1512)(1431, 1532)(1435, 1497)(1438, 1492)(1442, 1459)(1445, 1518)(1447, 1468)(1457, 1484)(1461, 1501)(1463, 1479)(1472, 1504)(1490, 1510)(1493, 1507)
	L = (1, 769)(2, 770)(3, 771)(4, 772)(5, 773)(6, 774)(7, 775)(8, 776)(9, 777)(10, 778)(11, 779)(12, 780)(13, 781)(14, 782)(15, 783)(16, 784)(17, 785)(18, 786)(19, 787)(20, 788)(21, 789)(22, 790)(23, 791)(24, 792)(25, 793)(26, 794)(27, 795)(28, 796)(29, 797)(30, 798)(31, 799)(32, 800)(33, 801)(34, 802)(35, 803)(36, 804)(37, 805)(38, 806)(39, 807)(40, 808)(41, 809)(42, 810)(43, 811)(44, 812)(45, 813)(46, 814)(47, 815)(48, 816)(49, 817)(50, 818)(51, 819)(52, 820)(53, 821)(54, 822)(55, 823)(56, 824)(57, 825)(58, 826)(59, 827)(60, 828)(61, 829)(62, 830)(63, 831)(64, 832)(65, 833)(66, 834)(67, 835)(68, 836)(69, 837)(70, 838)(71, 839)(72, 840)(73, 841)(74, 842)(75, 843)(76, 844)(77, 845)(78, 846)(79, 847)(80, 848)(81, 849)(82, 850)(83, 851)(84, 852)(85, 853)(86, 854)(87, 855)(88, 856)(89, 857)(90, 858)(91, 859)(92, 860)(93, 861)(94, 862)(95, 863)(96, 864)(97, 865)(98, 866)(99, 867)(100, 868)(101, 869)(102, 870)(103, 871)(104, 872)(105, 873)(106, 874)(107, 875)(108, 876)(109, 877)(110, 878)(111, 879)(112, 880)(113, 881)(114, 882)(115, 883)(116, 884)(117, 885)(118, 886)(119, 887)(120, 888)(121, 889)(122, 890)(123, 891)(124, 892)(125, 893)(126, 894)(127, 895)(128, 896)(129, 897)(130, 898)(131, 899)(132, 900)(133, 901)(134, 902)(135, 903)(136, 904)(137, 905)(138, 906)(139, 907)(140, 908)(141, 909)(142, 910)(143, 911)(144, 912)(145, 913)(146, 914)(147, 915)(148, 916)(149, 917)(150, 918)(151, 919)(152, 920)(153, 921)(154, 922)(155, 923)(156, 924)(157, 925)(158, 926)(159, 927)(160, 928)(161, 929)(162, 930)(163, 931)(164, 932)(165, 933)(166, 934)(167, 935)(168, 936)(169, 937)(170, 938)(171, 939)(172, 940)(173, 941)(174, 942)(175, 943)(176, 944)(177, 945)(178, 946)(179, 947)(180, 948)(181, 949)(182, 950)(183, 951)(184, 952)(185, 953)(186, 954)(187, 955)(188, 956)(189, 957)(190, 958)(191, 959)(192, 960)(193, 961)(194, 962)(195, 963)(196, 964)(197, 965)(198, 966)(199, 967)(200, 968)(201, 969)(202, 970)(203, 971)(204, 972)(205, 973)(206, 974)(207, 975)(208, 976)(209, 977)(210, 978)(211, 979)(212, 980)(213, 981)(214, 982)(215, 983)(216, 984)(217, 985)(218, 986)(219, 987)(220, 988)(221, 989)(222, 990)(223, 991)(224, 992)(225, 993)(226, 994)(227, 995)(228, 996)(229, 997)(230, 998)(231, 999)(232, 1000)(233, 1001)(234, 1002)(235, 1003)(236, 1004)(237, 1005)(238, 1006)(239, 1007)(240, 1008)(241, 1009)(242, 1010)(243, 1011)(244, 1012)(245, 1013)(246, 1014)(247, 1015)(248, 1016)(249, 1017)(250, 1018)(251, 1019)(252, 1020)(253, 1021)(254, 1022)(255, 1023)(256, 1024)(257, 1025)(258, 1026)(259, 1027)(260, 1028)(261, 1029)(262, 1030)(263, 1031)(264, 1032)(265, 1033)(266, 1034)(267, 1035)(268, 1036)(269, 1037)(270, 1038)(271, 1039)(272, 1040)(273, 1041)(274, 1042)(275, 1043)(276, 1044)(277, 1045)(278, 1046)(279, 1047)(280, 1048)(281, 1049)(282, 1050)(283, 1051)(284, 1052)(285, 1053)(286, 1054)(287, 1055)(288, 1056)(289, 1057)(290, 1058)(291, 1059)(292, 1060)(293, 1061)(294, 1062)(295, 1063)(296, 1064)(297, 1065)(298, 1066)(299, 1067)(300, 1068)(301, 1069)(302, 1070)(303, 1071)(304, 1072)(305, 1073)(306, 1074)(307, 1075)(308, 1076)(309, 1077)(310, 1078)(311, 1079)(312, 1080)(313, 1081)(314, 1082)(315, 1083)(316, 1084)(317, 1085)(318, 1086)(319, 1087)(320, 1088)(321, 1089)(322, 1090)(323, 1091)(324, 1092)(325, 1093)(326, 1094)(327, 1095)(328, 1096)(329, 1097)(330, 1098)(331, 1099)(332, 1100)(333, 1101)(334, 1102)(335, 1103)(336, 1104)(337, 1105)(338, 1106)(339, 1107)(340, 1108)(341, 1109)(342, 1110)(343, 1111)(344, 1112)(345, 1113)(346, 1114)(347, 1115)(348, 1116)(349, 1117)(350, 1118)(351, 1119)(352, 1120)(353, 1121)(354, 1122)(355, 1123)(356, 1124)(357, 1125)(358, 1126)(359, 1127)(360, 1128)(361, 1129)(362, 1130)(363, 1131)(364, 1132)(365, 1133)(366, 1134)(367, 1135)(368, 1136)(369, 1137)(370, 1138)(371, 1139)(372, 1140)(373, 1141)(374, 1142)(375, 1143)(376, 1144)(377, 1145)(378, 1146)(379, 1147)(380, 1148)(381, 1149)(382, 1150)(383, 1151)(384, 1152)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 16, 16 ), ( 16^3 ) }
Outer automorphisms :: reflexible
Dual of E17.2376
Transitivity :: ET+
Graph:: simple bipartite
	v = 640 e = 768 f = 96
	degree seq :: [ 2^384, 3^256 ]

E17.2373 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T2^8, (T2^3 * T1^-1)^4, T2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, (T2^-2 * T1)^6, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map:: polyhedral non-degenerate
	R = (1, 3, 9, 19, 37, 26, 13, 5)(2, 6, 14, 27, 49, 32, 16, 7)(4, 11, 22, 41, 60, 34, 17, 8)(10, 21, 40, 68, 100, 62, 35, 18)(12, 23, 43, 73, 115, 76, 44, 24)(15, 29, 52, 85, 134, 88, 53, 30)(20, 39, 67, 106, 160, 102, 63, 36)(25, 45, 77, 121, 186, 124, 78, 46)(28, 51, 84, 131, 197, 127, 80, 48)(31, 54, 89, 140, 215, 143, 90, 55)(33, 57, 92, 145, 224, 148, 93, 58)(38, 66, 105, 164, 250, 162, 103, 64)(42, 72, 113, 175, 266, 173, 111, 70)(47, 65, 104, 163, 251, 193, 125, 79)(50, 83, 130, 201, 300, 199, 128, 81)(56, 82, 129, 200, 301, 222, 144, 91)(59, 94, 149, 230, 335, 233, 150, 95)(61, 97, 152, 235, 342, 238, 153, 98)(69, 110, 171, 261, 372, 259, 169, 108)(71, 112, 174, 267, 340, 234, 151, 96)(74, 117, 181, 277, 386, 273, 177, 114)(75, 118, 182, 279, 393, 282, 183, 119)(86, 136, 210, 313, 425, 309, 206, 133)(87, 137, 211, 315, 431, 318, 212, 138)(99, 154, 239, 348, 380, 270, 240, 155)(101, 157, 242, 352, 468, 355, 243, 158)(107, 168, 257, 368, 486, 367, 255, 166)(109, 170, 260, 191, 285, 351, 241, 156)(116, 180, 276, 220, 321, 388, 274, 178)(120, 179, 275, 358, 246, 167, 256, 184)(122, 188, 287, 401, 515, 398, 283, 185)(123, 189, 288, 403, 520, 404, 289, 190)(126, 194, 292, 406, 525, 409, 293, 195)(132, 205, 307, 421, 541, 420, 305, 203)(135, 209, 312, 229, 329, 427, 310, 207)(139, 208, 311, 412, 296, 204, 306, 213)(141, 217, 323, 439, 558, 436, 319, 214)(142, 218, 324, 441, 563, 442, 325, 219)(146, 226, 331, 448, 568, 445, 327, 223)(147, 227, 332, 450, 572, 451, 333, 228)(159, 244, 356, 474, 492, 374, 357, 245)(161, 247, 359, 477, 601, 480, 360, 248)(165, 254, 365, 483, 443, 326, 221, 253)(172, 263, 376, 493, 615, 496, 377, 264)(176, 271, 382, 499, 590, 466, 350, 269)(187, 286, 400, 396, 509, 516, 399, 284)(192, 290, 268, 381, 498, 523, 405, 291)(196, 294, 410, 530, 504, 390, 411, 295)(198, 297, 413, 532, 647, 535, 414, 298)(202, 304, 418, 538, 455, 338, 232, 303)(216, 322, 438, 434, 552, 559, 437, 320)(225, 330, 447, 347, 459, 569, 446, 328)(231, 337, 454, 577, 681, 575, 452, 334)(236, 344, 461, 584, 685, 581, 457, 341)(237, 345, 462, 586, 549, 428, 314, 346)(249, 361, 302, 417, 537, 487, 481, 362)(252, 364, 482, 522, 579, 456, 339, 363)(258, 369, 488, 610, 706, 612, 489, 370)(262, 375, 281, 395, 511, 599, 476, 373)(265, 378, 464, 588, 547, 429, 497, 379)(272, 383, 500, 620, 714, 622, 501, 384)(278, 391, 317, 433, 554, 626, 506, 389)(280, 366, 484, 607, 703, 628, 507, 392)(299, 415, 336, 453, 576, 542, 536, 416)(308, 422, 543, 655, 737, 657, 544, 423)(316, 419, 539, 652, 734, 662, 550, 430)(343, 460, 583, 473, 593, 686, 582, 458)(349, 465, 589, 691, 759, 690, 587, 463)(353, 470, 595, 694, 742, 661, 591, 467)(354, 471, 596, 695, 677, 570, 449, 472)(371, 490, 598, 697, 676, 571, 613, 491)(385, 502, 623, 717, 635, 518, 624, 503)(387, 505, 625, 718, 761, 696, 597, 475)(394, 510, 630, 529, 641, 720, 629, 508)(397, 512, 631, 656, 738, 721, 632, 513)(402, 519, 408, 528, 644, 723, 636, 517)(407, 527, 643, 727, 684, 580, 639, 524)(424, 545, 658, 740, 669, 561, 659, 546)(426, 548, 660, 741, 765, 728, 645, 531)(432, 553, 664, 619, 711, 743, 663, 551)(435, 555, 665, 611, 707, 744, 666, 556)(440, 562, 495, 618, 713, 746, 670, 560)(444, 565, 672, 621, 715, 748, 673, 566)(469, 594, 693, 606, 700, 760, 692, 592)(478, 603, 564, 671, 747, 739, 698, 600)(479, 604, 702, 735, 757, 687, 585, 605)(485, 608, 534, 650, 733, 688, 705, 609)(494, 617, 689, 758, 719, 627, 709, 614)(514, 633, 722, 762, 699, 602, 701, 634)(521, 638, 724, 716, 756, 682, 578, 637)(526, 642, 726, 651, 731, 764, 725, 640)(533, 649, 573, 678, 751, 708, 729, 646)(540, 653, 574, 679, 752, 704, 736, 654)(557, 667, 745, 766, 730, 648, 732, 668)(567, 674, 749, 767, 755, 683, 750, 675)(616, 712, 754, 680, 753, 768, 763, 710)(769, 770, 772)(771, 776, 778)(773, 780, 774)(775, 783, 779)(777, 786, 788)(781, 793, 791)(782, 792, 796)(784, 799, 797)(785, 801, 789)(787, 804, 806)(790, 798, 810)(794, 815, 813)(795, 816, 818)(800, 824, 822)(802, 827, 825)(803, 829, 807)(805, 832, 833)(808, 826, 837)(809, 838, 839)(811, 814, 842)(812, 843, 819)(817, 849, 850)(820, 823, 854)(821, 855, 840)(828, 864, 862)(830, 867, 865)(831, 869, 834)(835, 866, 875)(836, 876, 877)(841, 882, 884)(844, 888, 886)(845, 847, 890)(846, 891, 885)(848, 894, 851)(852, 887, 900)(853, 901, 903)(856, 907, 905)(857, 859, 909)(858, 910, 904)(860, 863, 914)(861, 915, 878)(868, 924, 922)(870, 927, 925)(871, 929, 872)(873, 926, 933)(874, 934, 935)(879, 940, 880)(881, 906, 944)(883, 946, 947)(889, 953, 955)(892, 959, 957)(893, 960, 956)(895, 964, 962)(896, 966, 897)(898, 963, 970)(899, 971, 972)(902, 975, 976)(908, 982, 984)(911, 988, 986)(912, 989, 985)(913, 991, 993)(916, 997, 995)(917, 919, 999)(918, 1000, 994)(920, 923, 1004)(921, 1005, 936)(928, 1014, 1012)(930, 1017, 1015)(931, 1016, 1020)(932, 1021, 990)(937, 1026, 938)(939, 996, 1030)(941, 1033, 1031)(942, 1032, 1036)(943, 1037, 1038)(945, 1040, 948)(949, 958, 1046)(950, 952, 1048)(951, 1049, 973)(954, 1052, 1053)(961, 1035, 1058)(965, 1064, 1062)(967, 1067, 1065)(968, 1066, 1070)(969, 1071, 1001)(974, 1076, 977)(978, 987, 1082)(979, 981, 1084)(980, 1085, 1039)(983, 1088, 1089)(992, 1096, 1097)(998, 1102, 1104)(1002, 1107, 1105)(1003, 1109, 1111)(1006, 1115, 1113)(1007, 1009, 1117)(1008, 1118, 1112)(1010, 1013, 1121)(1011, 1122, 1022)(1018, 1069, 1129)(1019, 1131, 1108)(1023, 1134, 1024)(1025, 1114, 1093)(1027, 1139, 1137)(1028, 1138, 1056)(1029, 1141, 1142)(1034, 1148, 1146)(1041, 1153, 1151)(1042, 1155, 1043)(1044, 1152, 1092)(1045, 1157, 1158)(1047, 1160, 1162)(1050, 1164, 1163)(1051, 1165, 1054)(1055, 1059, 1170)(1057, 1150, 1159)(1060, 1063, 1175)(1061, 1176, 1072)(1068, 1103, 1183)(1073, 1187, 1074)(1075, 1143, 1101)(1077, 1192, 1190)(1078, 1194, 1079)(1080, 1191, 1100)(1081, 1196, 1197)(1083, 1198, 1200)(1086, 1202, 1201)(1087, 1203, 1090)(1091, 1094, 1208)(1095, 1212, 1098)(1099, 1106, 1217)(1110, 1226, 1227)(1116, 1231, 1232)(1119, 1167, 1233)(1120, 1235, 1237)(1123, 1241, 1239)(1124, 1126, 1243)(1125, 1244, 1238)(1127, 1130, 1246)(1128, 1247, 1132)(1133, 1240, 1223)(1135, 1253, 1252)(1136, 1210, 1255)(1140, 1260, 1258)(1144, 1147, 1262)(1145, 1263, 1149)(1154, 1272, 1270)(1156, 1205, 1273)(1161, 1276, 1277)(1166, 1282, 1280)(1168, 1281, 1279)(1169, 1285, 1286)(1171, 1257, 1289)(1172, 1290, 1267)(1173, 1186, 1287)(1174, 1292, 1294)(1177, 1297, 1296)(1178, 1180, 1299)(1179, 1274, 1295)(1181, 1184, 1301)(1182, 1302, 1185)(1188, 1308, 1307)(1189, 1219, 1310)(1193, 1315, 1313)(1195, 1214, 1316)(1199, 1319, 1320)(1204, 1325, 1323)(1206, 1324, 1322)(1207, 1328, 1329)(1209, 1269, 1332)(1211, 1266, 1330)(1213, 1335, 1333)(1215, 1334, 1230)(1216, 1338, 1339)(1218, 1312, 1341)(1220, 1342, 1221)(1222, 1224, 1346)(1225, 1348, 1228)(1229, 1234, 1353)(1236, 1360, 1361)(1242, 1365, 1366)(1245, 1368, 1370)(1248, 1374, 1372)(1249, 1331, 1371)(1250, 1373, 1358)(1251, 1306, 1291)(1254, 1305, 1376)(1256, 1259, 1379)(1261, 1382, 1384)(1264, 1387, 1386)(1265, 1317, 1385)(1268, 1271, 1389)(1275, 1395, 1278)(1283, 1403, 1401)(1284, 1397, 1357)(1288, 1405, 1347)(1293, 1408, 1409)(1298, 1413, 1391)(1300, 1414, 1416)(1303, 1419, 1418)(1304, 1340, 1417)(1309, 1344, 1421)(1311, 1314, 1424)(1318, 1429, 1321)(1326, 1437, 1435)(1327, 1431, 1393)(1336, 1444, 1442)(1337, 1350, 1428)(1343, 1448, 1447)(1345, 1450, 1451)(1349, 1410, 1407)(1351, 1452, 1364)(1352, 1455, 1456)(1354, 1441, 1457)(1355, 1426, 1356)(1359, 1430, 1362)(1363, 1367, 1400)(1369, 1467, 1468)(1375, 1377, 1472)(1378, 1433, 1436)(1380, 1476, 1406)(1381, 1445, 1475)(1383, 1478, 1479)(1388, 1440, 1443)(1390, 1484, 1439)(1392, 1404, 1483)(1394, 1434, 1411)(1396, 1480, 1477)(1398, 1487, 1412)(1399, 1402, 1423)(1415, 1498, 1499)(1420, 1422, 1503)(1425, 1507, 1446)(1427, 1438, 1506)(1432, 1510, 1481)(1449, 1523, 1521)(1453, 1501, 1494)(1454, 1460, 1509)(1458, 1513, 1508)(1459, 1488, 1493)(1461, 1502, 1470)(1462, 1489, 1514)(1463, 1495, 1512)(1464, 1517, 1465)(1466, 1505, 1469)(1471, 1520, 1522)(1473, 1525, 1504)(1474, 1500, 1497)(1482, 1518, 1524)(1485, 1496, 1490)(1486, 1511, 1531)(1491, 1526, 1516)(1492, 1519, 1515)(1527, 1532, 1534)(1528, 1530, 1533)(1529, 1536, 1535)
	L = (1, 769)(2, 770)(3, 771)(4, 772)(5, 773)(6, 774)(7, 775)(8, 776)(9, 777)(10, 778)(11, 779)(12, 780)(13, 781)(14, 782)(15, 783)(16, 784)(17, 785)(18, 786)(19, 787)(20, 788)(21, 789)(22, 790)(23, 791)(24, 792)(25, 793)(26, 794)(27, 795)(28, 796)(29, 797)(30, 798)(31, 799)(32, 800)(33, 801)(34, 802)(35, 803)(36, 804)(37, 805)(38, 806)(39, 807)(40, 808)(41, 809)(42, 810)(43, 811)(44, 812)(45, 813)(46, 814)(47, 815)(48, 816)(49, 817)(50, 818)(51, 819)(52, 820)(53, 821)(54, 822)(55, 823)(56, 824)(57, 825)(58, 826)(59, 827)(60, 828)(61, 829)(62, 830)(63, 831)(64, 832)(65, 833)(66, 834)(67, 835)(68, 836)(69, 837)(70, 838)(71, 839)(72, 840)(73, 841)(74, 842)(75, 843)(76, 844)(77, 845)(78, 846)(79, 847)(80, 848)(81, 849)(82, 850)(83, 851)(84, 852)(85, 853)(86, 854)(87, 855)(88, 856)(89, 857)(90, 858)(91, 859)(92, 860)(93, 861)(94, 862)(95, 863)(96, 864)(97, 865)(98, 866)(99, 867)(100, 868)(101, 869)(102, 870)(103, 871)(104, 872)(105, 873)(106, 874)(107, 875)(108, 876)(109, 877)(110, 878)(111, 879)(112, 880)(113, 881)(114, 882)(115, 883)(116, 884)(117, 885)(118, 886)(119, 887)(120, 888)(121, 889)(122, 890)(123, 891)(124, 892)(125, 893)(126, 894)(127, 895)(128, 896)(129, 897)(130, 898)(131, 899)(132, 900)(133, 901)(134, 902)(135, 903)(136, 904)(137, 905)(138, 906)(139, 907)(140, 908)(141, 909)(142, 910)(143, 911)(144, 912)(145, 913)(146, 914)(147, 915)(148, 916)(149, 917)(150, 918)(151, 919)(152, 920)(153, 921)(154, 922)(155, 923)(156, 924)(157, 925)(158, 926)(159, 927)(160, 928)(161, 929)(162, 930)(163, 931)(164, 932)(165, 933)(166, 934)(167, 935)(168, 936)(169, 937)(170, 938)(171, 939)(172, 940)(173, 941)(174, 942)(175, 943)(176, 944)(177, 945)(178, 946)(179, 947)(180, 948)(181, 949)(182, 950)(183, 951)(184, 952)(185, 953)(186, 954)(187, 955)(188, 956)(189, 957)(190, 958)(191, 959)(192, 960)(193, 961)(194, 962)(195, 963)(196, 964)(197, 965)(198, 966)(199, 967)(200, 968)(201, 969)(202, 970)(203, 971)(204, 972)(205, 973)(206, 974)(207, 975)(208, 976)(209, 977)(210, 978)(211, 979)(212, 980)(213, 981)(214, 982)(215, 983)(216, 984)(217, 985)(218, 986)(219, 987)(220, 988)(221, 989)(222, 990)(223, 991)(224, 992)(225, 993)(226, 994)(227, 995)(228, 996)(229, 997)(230, 998)(231, 999)(232, 1000)(233, 1001)(234, 1002)(235, 1003)(236, 1004)(237, 1005)(238, 1006)(239, 1007)(240, 1008)(241, 1009)(242, 1010)(243, 1011)(244, 1012)(245, 1013)(246, 1014)(247, 1015)(248, 1016)(249, 1017)(250, 1018)(251, 1019)(252, 1020)(253, 1021)(254, 1022)(255, 1023)(256, 1024)(257, 1025)(258, 1026)(259, 1027)(260, 1028)(261, 1029)(262, 1030)(263, 1031)(264, 1032)(265, 1033)(266, 1034)(267, 1035)(268, 1036)(269, 1037)(270, 1038)(271, 1039)(272, 1040)(273, 1041)(274, 1042)(275, 1043)(276, 1044)(277, 1045)(278, 1046)(279, 1047)(280, 1048)(281, 1049)(282, 1050)(283, 1051)(284, 1052)(285, 1053)(286, 1054)(287, 1055)(288, 1056)(289, 1057)(290, 1058)(291, 1059)(292, 1060)(293, 1061)(294, 1062)(295, 1063)(296, 1064)(297, 1065)(298, 1066)(299, 1067)(300, 1068)(301, 1069)(302, 1070)(303, 1071)(304, 1072)(305, 1073)(306, 1074)(307, 1075)(308, 1076)(309, 1077)(310, 1078)(311, 1079)(312, 1080)(313, 1081)(314, 1082)(315, 1083)(316, 1084)(317, 1085)(318, 1086)(319, 1087)(320, 1088)(321, 1089)(322, 1090)(323, 1091)(324, 1092)(325, 1093)(326, 1094)(327, 1095)(328, 1096)(329, 1097)(330, 1098)(331, 1099)(332, 1100)(333, 1101)(334, 1102)(335, 1103)(336, 1104)(337, 1105)(338, 1106)(339, 1107)(340, 1108)(341, 1109)(342, 1110)(343, 1111)(344, 1112)(345, 1113)(346, 1114)(347, 1115)(348, 1116)(349, 1117)(350, 1118)(351, 1119)(352, 1120)(353, 1121)(354, 1122)(355, 1123)(356, 1124)(357, 1125)(358, 1126)(359, 1127)(360, 1128)(361, 1129)(362, 1130)(363, 1131)(364, 1132)(365, 1133)(366, 1134)(367, 1135)(368, 1136)(369, 1137)(370, 1138)(371, 1139)(372, 1140)(373, 1141)(374, 1142)(375, 1143)(376, 1144)(377, 1145)(378, 1146)(379, 1147)(380, 1148)(381, 1149)(382, 1150)(383, 1151)(384, 1152)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 4^3 ), ( 4^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2377
Transitivity :: ET+
Graph:: simple bipartite
	v = 352 e = 768 f = 384
	degree seq :: [ 3^256, 8^96 ]

E17.2374 :: Family: { 2 } :: Oriented family(ies): { E3b }
Signature :: (0; {2, 3, 8})
Quotient :: edge
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, T1^8, T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^4 * T2 * T1^-4, T2 * T1^3 * T2 * T1^-4 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-1, (T1^-2 * T2 * T1^2 * T2)^4 ]
Map:: polytopal
	R = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 22)(14, 23)(15, 28)(17, 30)(18, 33)(20, 35)(21, 36)(24, 37)(25, 42)(26, 43)(27, 46)(29, 47)(31, 51)(32, 53)(34, 56)(38, 58)(39, 63)(40, 64)(41, 67)(44, 70)(45, 71)(48, 72)(49, 76)(50, 79)(52, 81)(54, 82)(55, 86)(57, 59)(60, 92)(61, 93)(62, 96)(65, 99)(66, 100)(68, 101)(69, 105)(73, 107)(74, 112)(75, 113)(77, 116)(78, 118)(80, 108)(83, 121)(84, 125)(85, 127)(87, 128)(88, 132)(89, 134)(90, 135)(91, 138)(94, 141)(95, 142)(97, 143)(98, 147)(102, 149)(103, 153)(104, 156)(106, 150)(109, 162)(110, 163)(111, 166)(114, 169)(115, 171)(117, 173)(119, 174)(120, 178)(122, 172)(123, 182)(124, 183)(126, 186)(129, 187)(130, 191)(131, 193)(133, 196)(136, 199)(137, 200)(139, 201)(140, 205)(144, 207)(145, 211)(146, 214)(148, 208)(151, 220)(152, 221)(154, 224)(155, 225)(157, 226)(158, 230)(159, 232)(160, 233)(161, 236)(164, 239)(165, 240)(167, 241)(168, 245)(170, 248)(175, 251)(176, 255)(177, 257)(179, 260)(180, 261)(181, 264)(184, 267)(185, 269)(188, 270)(189, 274)(190, 275)(192, 278)(194, 279)(195, 282)(197, 283)(198, 287)(202, 289)(203, 293)(204, 296)(206, 290)(209, 302)(210, 303)(212, 306)(213, 307)(215, 308)(216, 312)(217, 314)(218, 315)(219, 318)(222, 321)(223, 323)(227, 325)(228, 329)(229, 331)(231, 288)(234, 284)(235, 330)(237, 335)(238, 338)(242, 339)(243, 343)(244, 346)(246, 340)(247, 349)(249, 350)(250, 352)(252, 324)(253, 356)(254, 357)(256, 360)(258, 361)(259, 359)(262, 362)(263, 366)(265, 367)(266, 371)(268, 374)(271, 376)(272, 377)(273, 380)(276, 383)(277, 313)(280, 316)(281, 387)(285, 391)(286, 394)(291, 398)(292, 399)(294, 402)(295, 403)(297, 404)(298, 408)(299, 409)(300, 410)(301, 412)(304, 415)(305, 417)(309, 419)(310, 423)(311, 425)(317, 424)(319, 429)(320, 432)(322, 434)(326, 418)(327, 440)(328, 441)(332, 443)(333, 396)(334, 390)(336, 448)(337, 451)(341, 454)(342, 455)(344, 458)(345, 459)(347, 460)(348, 464)(351, 465)(353, 468)(354, 469)(355, 471)(358, 474)(363, 478)(364, 475)(365, 477)(368, 462)(369, 484)(370, 487)(372, 463)(373, 490)(375, 457)(378, 466)(379, 494)(381, 495)(382, 499)(384, 427)(385, 503)(386, 428)(388, 506)(389, 508)(392, 511)(393, 512)(395, 513)(397, 518)(400, 521)(401, 523)(405, 525)(406, 529)(407, 531)(411, 530)(413, 533)(414, 536)(416, 538)(420, 524)(421, 542)(422, 543)(426, 545)(430, 550)(431, 553)(433, 555)(435, 556)(436, 558)(437, 559)(438, 560)(439, 562)(442, 565)(444, 567)(445, 569)(446, 572)(447, 574)(449, 576)(450, 577)(452, 578)(453, 534)(456, 583)(461, 585)(467, 591)(470, 593)(472, 519)(473, 596)(476, 600)(479, 603)(480, 604)(481, 607)(482, 549)(483, 587)(485, 610)(486, 611)(488, 612)(489, 588)(491, 615)(492, 584)(493, 590)(496, 613)(497, 573)(498, 595)(500, 614)(501, 625)(502, 609)(504, 616)(505, 628)(507, 631)(509, 633)(510, 635)(514, 637)(515, 641)(516, 643)(517, 642)(520, 645)(522, 647)(526, 636)(527, 651)(528, 652)(532, 654)(535, 658)(537, 660)(539, 662)(540, 663)(541, 665)(544, 667)(546, 669)(547, 671)(548, 674)(551, 676)(552, 677)(554, 678)(557, 681)(561, 683)(563, 632)(564, 685)(566, 688)(568, 690)(570, 692)(571, 693)(575, 696)(579, 698)(580, 656)(581, 687)(582, 702)(586, 697)(589, 706)(592, 707)(594, 680)(597, 668)(598, 639)(599, 675)(601, 682)(602, 711)(605, 714)(606, 715)(608, 710)(617, 700)(618, 650)(619, 703)(620, 718)(621, 630)(622, 709)(623, 708)(624, 705)(626, 666)(627, 701)(629, 638)(634, 723)(640, 724)(644, 726)(646, 728)(648, 730)(649, 731)(653, 733)(655, 735)(657, 736)(659, 737)(661, 739)(664, 740)(670, 744)(672, 746)(673, 747)(679, 749)(684, 738)(686, 734)(689, 751)(691, 742)(694, 754)(695, 756)(699, 753)(704, 759)(712, 743)(713, 760)(716, 750)(717, 748)(719, 757)(720, 755)(721, 758)(722, 761)(725, 762)(727, 763)(729, 765)(732, 766)(741, 764)(745, 767)(752, 768)(769, 770, 773, 779, 789, 788, 778, 772)(771, 775, 783, 795, 813, 799, 785, 776)(774, 781, 793, 809, 834, 812, 794, 782)(777, 786, 800, 820, 845, 817, 797, 784)(780, 791, 807, 830, 863, 833, 808, 792)(787, 802, 823, 853, 894, 852, 822, 801)(790, 805, 828, 859, 905, 862, 829, 806)(796, 815, 842, 879, 933, 882, 843, 816)(798, 818, 846, 885, 922, 871, 836, 810)(803, 825, 856, 899, 960, 898, 855, 824)(804, 826, 857, 901, 963, 904, 858, 827)(811, 837, 872, 923, 980, 913, 865, 831)(814, 840, 877, 929, 1003, 932, 878, 841)(819, 848, 888, 945, 1024, 944, 887, 847)(821, 850, 891, 949, 1031, 952, 892, 851)(832, 866, 914, 981, 1062, 971, 907, 860)(835, 869, 919, 987, 1085, 990, 920, 870)(838, 874, 926, 997, 1098, 996, 925, 873)(839, 875, 927, 999, 1050, 1002, 928, 876)(844, 883, 938, 1015, 1112, 1011, 935, 880)(849, 889, 947, 1027, 1128, 1030, 948, 890)(854, 896, 957, 1041, 1147, 1044, 958, 897)(861, 908, 972, 1063, 1160, 1053, 965, 902)(864, 911, 977, 1069, 1179, 1072, 978, 912)(867, 916, 984, 1079, 1192, 1078, 983, 915)(868, 917, 985, 1081, 1046, 1084, 986, 918)(881, 936, 1012, 1113, 1217, 1104, 1005, 930)(884, 940, 1018, 1058, 968, 1057, 1017, 939)(886, 942, 1021, 1123, 1238, 1126, 1022, 943)(893, 953, 1036, 1141, 1253, 1137, 1033, 950)(895, 955, 1039, 1143, 1226, 1146, 1040, 956)(900, 903, 966, 1054, 1161, 1156, 1049, 962)(906, 969, 1059, 1165, 1285, 1168, 1060, 970)(909, 974, 1066, 1175, 1298, 1174, 1065, 973)(910, 975, 1067, 1037, 954, 1038, 1068, 976)(921, 991, 1090, 1201, 1319, 1198, 1087, 988)(924, 994, 1095, 1207, 1329, 1210, 1096, 995)(931, 1006, 1105, 1218, 1338, 1213, 1101, 1000)(934, 1009, 1109, 1221, 1349, 1224, 1110, 1010)(937, 1014, 1116, 1231, 1134, 1230, 1115, 1013)(941, 1019, 1121, 1185, 1074, 1186, 1122, 1020)(946, 1001, 1102, 1214, 1339, 1247, 1131, 1026)(951, 1034, 1138, 1254, 1373, 1248, 1132, 1028)(959, 1045, 1152, 1269, 1389, 1265, 1149, 1042)(961, 1047, 1153, 1270, 1378, 1272, 1154, 1048)(964, 1051, 1157, 1275, 1398, 1277, 1158, 1052)(967, 1056, 1164, 1284, 1410, 1283, 1163, 1055)(979, 1073, 1184, 1305, 1424, 1302, 1181, 1070)(982, 1076, 1189, 1309, 1432, 1312, 1190, 1077)(989, 1088, 1199, 1320, 1440, 1315, 1195, 1082)(992, 1092, 1204, 1108, 1008, 1107, 1203, 1091)(993, 1093, 1205, 1291, 1170, 1292, 1206, 1094)(998, 1083, 1196, 1316, 1441, 1336, 1212, 1100)(1004, 1103, 1215, 1341, 1399, 1331, 1208, 1097)(1007, 1099, 1211, 1334, 1455, 1348, 1220, 1106)(1016, 1118, 1167, 1288, 1412, 1360, 1235, 1119)(1023, 1127, 1243, 1366, 1409, 1286, 1240, 1124)(1025, 1129, 1244, 1367, 1444, 1369, 1245, 1130)(1029, 1133, 1249, 1374, 1423, 1300, 1176, 1120)(1032, 1135, 1250, 1318, 1443, 1376, 1251, 1136)(1035, 1140, 1257, 1382, 1262, 1381, 1256, 1139)(1043, 1150, 1266, 1390, 1488, 1386, 1260, 1144)(1061, 1169, 1290, 1414, 1362, 1239, 1287, 1166)(1064, 1172, 1295, 1418, 1500, 1421, 1296, 1173)(1071, 1182, 1303, 1425, 1385, 1259, 1142, 1177)(1075, 1187, 1307, 1403, 1279, 1404, 1308, 1188)(1080, 1178, 1145, 1261, 1387, 1438, 1314, 1194)(1086, 1197, 1317, 1252, 1377, 1434, 1310, 1191)(1089, 1193, 1313, 1436, 1361, 1448, 1322, 1200)(1111, 1225, 1352, 1419, 1297, 1180, 1301, 1222)(1114, 1228, 1355, 1472, 1491, 1430, 1311, 1229)(1117, 1233, 1357, 1464, 1344, 1465, 1358, 1234)(1125, 1241, 1363, 1476, 1492, 1429, 1306, 1236)(1148, 1263, 1342, 1216, 1343, 1463, 1388, 1264)(1151, 1268, 1392, 1406, 1280, 1405, 1391, 1267)(1155, 1273, 1395, 1489, 1509, 1433, 1394, 1271)(1159, 1278, 1402, 1490, 1452, 1330, 1400, 1276)(1162, 1281, 1407, 1372, 1481, 1493, 1408, 1282)(1171, 1293, 1416, 1396, 1274, 1397, 1417, 1294)(1183, 1299, 1422, 1502, 1451, 1506, 1427, 1304)(1202, 1324, 1223, 1350, 1469, 1498, 1420, 1325)(1209, 1332, 1255, 1380, 1486, 1497, 1415, 1327)(1219, 1346, 1428, 1507, 1530, 1525, 1468, 1347)(1227, 1353, 1435, 1510, 1460, 1521, 1471, 1354)(1232, 1326, 1237, 1328, 1431, 1499, 1473, 1356)(1242, 1365, 1437, 1511, 1461, 1522, 1477, 1364)(1246, 1370, 1426, 1505, 1529, 1527, 1478, 1368)(1258, 1383, 1487, 1528, 1482, 1516, 1442, 1384)(1289, 1411, 1337, 1459, 1508, 1532, 1495, 1413)(1321, 1446, 1496, 1533, 1524, 1474, 1359, 1447)(1323, 1449, 1501, 1535, 1514, 1484, 1375, 1450)(1333, 1454, 1503, 1536, 1515, 1485, 1379, 1453)(1335, 1457, 1494, 1531, 1526, 1470, 1351, 1456)(1340, 1401, 1393, 1439, 1513, 1534, 1523, 1462)(1345, 1466, 1504, 1479, 1371, 1480, 1512, 1467)(1445, 1517, 1475, 1519, 1458, 1520, 1483, 1518)
	L = (1, 769)(2, 770)(3, 771)(4, 772)(5, 773)(6, 774)(7, 775)(8, 776)(9, 777)(10, 778)(11, 779)(12, 780)(13, 781)(14, 782)(15, 783)(16, 784)(17, 785)(18, 786)(19, 787)(20, 788)(21, 789)(22, 790)(23, 791)(24, 792)(25, 793)(26, 794)(27, 795)(28, 796)(29, 797)(30, 798)(31, 799)(32, 800)(33, 801)(34, 802)(35, 803)(36, 804)(37, 805)(38, 806)(39, 807)(40, 808)(41, 809)(42, 810)(43, 811)(44, 812)(45, 813)(46, 814)(47, 815)(48, 816)(49, 817)(50, 818)(51, 819)(52, 820)(53, 821)(54, 822)(55, 823)(56, 824)(57, 825)(58, 826)(59, 827)(60, 828)(61, 829)(62, 830)(63, 831)(64, 832)(65, 833)(66, 834)(67, 835)(68, 836)(69, 837)(70, 838)(71, 839)(72, 840)(73, 841)(74, 842)(75, 843)(76, 844)(77, 845)(78, 846)(79, 847)(80, 848)(81, 849)(82, 850)(83, 851)(84, 852)(85, 853)(86, 854)(87, 855)(88, 856)(89, 857)(90, 858)(91, 859)(92, 860)(93, 861)(94, 862)(95, 863)(96, 864)(97, 865)(98, 866)(99, 867)(100, 868)(101, 869)(102, 870)(103, 871)(104, 872)(105, 873)(106, 874)(107, 875)(108, 876)(109, 877)(110, 878)(111, 879)(112, 880)(113, 881)(114, 882)(115, 883)(116, 884)(117, 885)(118, 886)(119, 887)(120, 888)(121, 889)(122, 890)(123, 891)(124, 892)(125, 893)(126, 894)(127, 895)(128, 896)(129, 897)(130, 898)(131, 899)(132, 900)(133, 901)(134, 902)(135, 903)(136, 904)(137, 905)(138, 906)(139, 907)(140, 908)(141, 909)(142, 910)(143, 911)(144, 912)(145, 913)(146, 914)(147, 915)(148, 916)(149, 917)(150, 918)(151, 919)(152, 920)(153, 921)(154, 922)(155, 923)(156, 924)(157, 925)(158, 926)(159, 927)(160, 928)(161, 929)(162, 930)(163, 931)(164, 932)(165, 933)(166, 934)(167, 935)(168, 936)(169, 937)(170, 938)(171, 939)(172, 940)(173, 941)(174, 942)(175, 943)(176, 944)(177, 945)(178, 946)(179, 947)(180, 948)(181, 949)(182, 950)(183, 951)(184, 952)(185, 953)(186, 954)(187, 955)(188, 956)(189, 957)(190, 958)(191, 959)(192, 960)(193, 961)(194, 962)(195, 963)(196, 964)(197, 965)(198, 966)(199, 967)(200, 968)(201, 969)(202, 970)(203, 971)(204, 972)(205, 973)(206, 974)(207, 975)(208, 976)(209, 977)(210, 978)(211, 979)(212, 980)(213, 981)(214, 982)(215, 983)(216, 984)(217, 985)(218, 986)(219, 987)(220, 988)(221, 989)(222, 990)(223, 991)(224, 992)(225, 993)(226, 994)(227, 995)(228, 996)(229, 997)(230, 998)(231, 999)(232, 1000)(233, 1001)(234, 1002)(235, 1003)(236, 1004)(237, 1005)(238, 1006)(239, 1007)(240, 1008)(241, 1009)(242, 1010)(243, 1011)(244, 1012)(245, 1013)(246, 1014)(247, 1015)(248, 1016)(249, 1017)(250, 1018)(251, 1019)(252, 1020)(253, 1021)(254, 1022)(255, 1023)(256, 1024)(257, 1025)(258, 1026)(259, 1027)(260, 1028)(261, 1029)(262, 1030)(263, 1031)(264, 1032)(265, 1033)(266, 1034)(267, 1035)(268, 1036)(269, 1037)(270, 1038)(271, 1039)(272, 1040)(273, 1041)(274, 1042)(275, 1043)(276, 1044)(277, 1045)(278, 1046)(279, 1047)(280, 1048)(281, 1049)(282, 1050)(283, 1051)(284, 1052)(285, 1053)(286, 1054)(287, 1055)(288, 1056)(289, 1057)(290, 1058)(291, 1059)(292, 1060)(293, 1061)(294, 1062)(295, 1063)(296, 1064)(297, 1065)(298, 1066)(299, 1067)(300, 1068)(301, 1069)(302, 1070)(303, 1071)(304, 1072)(305, 1073)(306, 1074)(307, 1075)(308, 1076)(309, 1077)(310, 1078)(311, 1079)(312, 1080)(313, 1081)(314, 1082)(315, 1083)(316, 1084)(317, 1085)(318, 1086)(319, 1087)(320, 1088)(321, 1089)(322, 1090)(323, 1091)(324, 1092)(325, 1093)(326, 1094)(327, 1095)(328, 1096)(329, 1097)(330, 1098)(331, 1099)(332, 1100)(333, 1101)(334, 1102)(335, 1103)(336, 1104)(337, 1105)(338, 1106)(339, 1107)(340, 1108)(341, 1109)(342, 1110)(343, 1111)(344, 1112)(345, 1113)(346, 1114)(347, 1115)(348, 1116)(349, 1117)(350, 1118)(351, 1119)(352, 1120)(353, 1121)(354, 1122)(355, 1123)(356, 1124)(357, 1125)(358, 1126)(359, 1127)(360, 1128)(361, 1129)(362, 1130)(363, 1131)(364, 1132)(365, 1133)(366, 1134)(367, 1135)(368, 1136)(369, 1137)(370, 1138)(371, 1139)(372, 1140)(373, 1141)(374, 1142)(375, 1143)(376, 1144)(377, 1145)(378, 1146)(379, 1147)(380, 1148)(381, 1149)(382, 1150)(383, 1151)(384, 1152)(385, 1153)(386, 1154)(387, 1155)(388, 1156)(389, 1157)(390, 1158)(391, 1159)(392, 1160)(393, 1161)(394, 1162)(395, 1163)(396, 1164)(397, 1165)(398, 1166)(399, 1167)(400, 1168)(401, 1169)(402, 1170)(403, 1171)(404, 1172)(405, 1173)(406, 1174)(407, 1175)(408, 1176)(409, 1177)(410, 1178)(411, 1179)(412, 1180)(413, 1181)(414, 1182)(415, 1183)(416, 1184)(417, 1185)(418, 1186)(419, 1187)(420, 1188)(421, 1189)(422, 1190)(423, 1191)(424, 1192)(425, 1193)(426, 1194)(427, 1195)(428, 1196)(429, 1197)(430, 1198)(431, 1199)(432, 1200)(433, 1201)(434, 1202)(435, 1203)(436, 1204)(437, 1205)(438, 1206)(439, 1207)(440, 1208)(441, 1209)(442, 1210)(443, 1211)(444, 1212)(445, 1213)(446, 1214)(447, 1215)(448, 1216)(449, 1217)(450, 1218)(451, 1219)(452, 1220)(453, 1221)(454, 1222)(455, 1223)(456, 1224)(457, 1225)(458, 1226)(459, 1227)(460, 1228)(461, 1229)(462, 1230)(463, 1231)(464, 1232)(465, 1233)(466, 1234)(467, 1235)(468, 1236)(469, 1237)(470, 1238)(471, 1239)(472, 1240)(473, 1241)(474, 1242)(475, 1243)(476, 1244)(477, 1245)(478, 1246)(479, 1247)(480, 1248)(481, 1249)(482, 1250)(483, 1251)(484, 1252)(485, 1253)(486, 1254)(487, 1255)(488, 1256)(489, 1257)(490, 1258)(491, 1259)(492, 1260)(493, 1261)(494, 1262)(495, 1263)(496, 1264)(497, 1265)(498, 1266)(499, 1267)(500, 1268)(501, 1269)(502, 1270)(503, 1271)(504, 1272)(505, 1273)(506, 1274)(507, 1275)(508, 1276)(509, 1277)(510, 1278)(511, 1279)(512, 1280)(513, 1281)(514, 1282)(515, 1283)(516, 1284)(517, 1285)(518, 1286)(519, 1287)(520, 1288)(521, 1289)(522, 1290)(523, 1291)(524, 1292)(525, 1293)(526, 1294)(527, 1295)(528, 1296)(529, 1297)(530, 1298)(531, 1299)(532, 1300)(533, 1301)(534, 1302)(535, 1303)(536, 1304)(537, 1305)(538, 1306)(539, 1307)(540, 1308)(541, 1309)(542, 1310)(543, 1311)(544, 1312)(545, 1313)(546, 1314)(547, 1315)(548, 1316)(549, 1317)(550, 1318)(551, 1319)(552, 1320)(553, 1321)(554, 1322)(555, 1323)(556, 1324)(557, 1325)(558, 1326)(559, 1327)(560, 1328)(561, 1329)(562, 1330)(563, 1331)(564, 1332)(565, 1333)(566, 1334)(567, 1335)(568, 1336)(569, 1337)(570, 1338)(571, 1339)(572, 1340)(573, 1341)(574, 1342)(575, 1343)(576, 1344)(577, 1345)(578, 1346)(579, 1347)(580, 1348)(581, 1349)(582, 1350)(583, 1351)(584, 1352)(585, 1353)(586, 1354)(587, 1355)(588, 1356)(589, 1357)(590, 1358)(591, 1359)(592, 1360)(593, 1361)(594, 1362)(595, 1363)(596, 1364)(597, 1365)(598, 1366)(599, 1367)(600, 1368)(601, 1369)(602, 1370)(603, 1371)(604, 1372)(605, 1373)(606, 1374)(607, 1375)(608, 1376)(609, 1377)(610, 1378)(611, 1379)(612, 1380)(613, 1381)(614, 1382)(615, 1383)(616, 1384)(617, 1385)(618, 1386)(619, 1387)(620, 1388)(621, 1389)(622, 1390)(623, 1391)(624, 1392)(625, 1393)(626, 1394)(627, 1395)(628, 1396)(629, 1397)(630, 1398)(631, 1399)(632, 1400)(633, 1401)(634, 1402)(635, 1403)(636, 1404)(637, 1405)(638, 1406)(639, 1407)(640, 1408)(641, 1409)(642, 1410)(643, 1411)(644, 1412)(645, 1413)(646, 1414)(647, 1415)(648, 1416)(649, 1417)(650, 1418)(651, 1419)(652, 1420)(653, 1421)(654, 1422)(655, 1423)(656, 1424)(657, 1425)(658, 1426)(659, 1427)(660, 1428)(661, 1429)(662, 1430)(663, 1431)(664, 1432)(665, 1433)(666, 1434)(667, 1435)(668, 1436)(669, 1437)(670, 1438)(671, 1439)(672, 1440)(673, 1441)(674, 1442)(675, 1443)(676, 1444)(677, 1445)(678, 1446)(679, 1447)(680, 1448)(681, 1449)(682, 1450)(683, 1451)(684, 1452)(685, 1453)(686, 1454)(687, 1455)(688, 1456)(689, 1457)(690, 1458)(691, 1459)(692, 1460)(693, 1461)(694, 1462)(695, 1463)(696, 1464)(697, 1465)(698, 1466)(699, 1467)(700, 1468)(701, 1469)(702, 1470)(703, 1471)(704, 1472)(705, 1473)(706, 1474)(707, 1475)(708, 1476)(709, 1477)(710, 1478)(711, 1479)(712, 1480)(713, 1481)(714, 1482)(715, 1483)(716, 1484)(717, 1485)(718, 1486)(719, 1487)(720, 1488)(721, 1489)(722, 1490)(723, 1491)(724, 1492)(725, 1493)(726, 1494)(727, 1495)(728, 1496)(729, 1497)(730, 1498)(731, 1499)(732, 1500)(733, 1501)(734, 1502)(735, 1503)(736, 1504)(737, 1505)(738, 1506)(739, 1507)(740, 1508)(741, 1509)(742, 1510)(743, 1511)(744, 1512)(745, 1513)(746, 1514)(747, 1515)(748, 1516)(749, 1517)(750, 1518)(751, 1519)(752, 1520)(753, 1521)(754, 1522)(755, 1523)(756, 1524)(757, 1525)(758, 1526)(759, 1527)(760, 1528)(761, 1529)(762, 1530)(763, 1531)(764, 1532)(765, 1533)(766, 1534)(767, 1535)(768, 1536)
	local type(s) :: { ( 6, 6 ), ( 6^8 ) }
Outer automorphisms :: reflexible
Dual of E17.2375
Transitivity :: ET+
Graph:: simple bipartite
	v = 480 e = 768 f = 256
	degree seq :: [ 2^384, 8^96 ]

E17.2375 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ T1^2, F^2, T2^3, (F * T1)^2, (F * T2)^2, (T2^-1 * T1)^8, (T1 * T2 * T1 * T2 * T1 * T2^-1)^4, (T1 * T2 * T1 * T2^-1)^6, (T1 * T2^-1 * T1 * T2 * T1 * T2 * T1 * T2^-1)^4 ]
Map::
	R = (1, 769, 3, 771, 4, 772)(2, 770, 5, 773, 6, 774)(7, 775, 11, 779, 12, 780)(8, 776, 13, 781, 14, 782)(9, 777, 15, 783, 16, 784)(10, 778, 17, 785, 18, 786)(19, 787, 27, 795, 28, 796)(20, 788, 29, 797, 30, 798)(21, 789, 31, 799, 32, 800)(22, 790, 33, 801, 34, 802)(23, 791, 35, 803, 36, 804)(24, 792, 37, 805, 38, 806)(25, 793, 39, 807, 40, 808)(26, 794, 41, 809, 42, 810)(43, 811, 59, 827, 60, 828)(44, 812, 61, 829, 62, 830)(45, 813, 63, 831, 64, 832)(46, 814, 65, 833, 66, 834)(47, 815, 67, 835, 68, 836)(48, 816, 69, 837, 70, 838)(49, 817, 71, 839, 72, 840)(50, 818, 73, 841, 74, 842)(51, 819, 75, 843, 76, 844)(52, 820, 77, 845, 78, 846)(53, 821, 79, 847, 80, 848)(54, 822, 81, 849, 82, 850)(55, 823, 83, 851, 84, 852)(56, 824, 85, 853, 86, 854)(57, 825, 87, 855, 88, 856)(58, 826, 89, 857, 90, 858)(91, 859, 119, 887, 120, 888)(92, 860, 121, 889, 122, 890)(93, 861, 123, 891, 124, 892)(94, 862, 125, 893, 126, 894)(95, 863, 127, 895, 128, 896)(96, 864, 129, 897, 130, 898)(97, 865, 131, 899, 98, 866)(99, 867, 132, 900, 133, 901)(100, 868, 134, 902, 135, 903)(101, 869, 136, 904, 137, 905)(102, 870, 138, 906, 139, 907)(103, 871, 140, 908, 141, 909)(104, 872, 142, 910, 143, 911)(105, 873, 144, 912, 145, 913)(106, 874, 146, 914, 147, 915)(107, 875, 148, 916, 149, 917)(108, 876, 150, 918, 151, 919)(109, 877, 152, 920, 153, 921)(110, 878, 154, 922, 155, 923)(111, 879, 156, 924, 112, 880)(113, 881, 157, 925, 158, 926)(114, 882, 159, 927, 160, 928)(115, 883, 161, 929, 162, 930)(116, 884, 163, 931, 164, 932)(117, 885, 165, 933, 166, 934)(118, 886, 167, 935, 168, 936)(169, 937, 219, 987, 220, 988)(170, 938, 221, 989, 222, 990)(171, 939, 223, 991, 224, 992)(172, 940, 225, 993, 226, 994)(173, 941, 227, 995, 228, 996)(174, 942, 229, 997, 175, 943)(176, 944, 230, 998, 231, 999)(177, 945, 232, 1000, 233, 1001)(178, 946, 234, 1002, 235, 1003)(179, 947, 236, 1004, 237, 1005)(180, 948, 238, 1006, 239, 1007)(181, 949, 240, 1008, 241, 1009)(182, 950, 242, 1010, 243, 1011)(183, 951, 244, 1012, 245, 1013)(184, 952, 246, 1014, 247, 1015)(185, 953, 248, 1016, 249, 1017)(186, 954, 250, 1018, 251, 1019)(187, 955, 252, 1020, 188, 956)(189, 957, 253, 1021, 254, 1022)(190, 958, 255, 1023, 256, 1024)(191, 959, 257, 1025, 258, 1026)(192, 960, 259, 1027, 260, 1028)(193, 961, 261, 1029, 262, 1030)(194, 962, 400, 1168, 481, 1249)(195, 963, 401, 1169, 341, 1109)(196, 964, 297, 1065, 295, 1063)(197, 965, 403, 1171, 596, 1364)(198, 966, 405, 1173, 459, 1227)(199, 967, 406, 1174, 200, 968)(201, 969, 408, 1176, 691, 1459)(202, 970, 410, 1178, 453, 1221)(203, 971, 309, 1077, 269, 1037)(204, 972, 412, 1180, 364, 1132)(205, 973, 414, 1182, 441, 1209)(206, 974, 416, 1184, 610, 1378)(207, 975, 418, 1186, 698, 1466)(208, 976, 419, 1187, 347, 1115)(209, 977, 318, 1086, 274, 1042)(210, 978, 421, 1189, 533, 1301)(211, 979, 423, 1191, 449, 1217)(212, 980, 425, 1193, 213, 981)(214, 982, 427, 1195, 392, 1160)(215, 983, 429, 1197, 709, 1477)(216, 984, 365, 1133, 281, 1049)(217, 985, 431, 1199, 374, 1142)(218, 986, 432, 1200, 385, 1153)(263, 1031, 285, 1053, 286, 1054)(264, 1032, 291, 1059, 292, 1060)(265, 1033, 288, 1056, 289, 1057)(266, 1034, 277, 1045, 278, 1046)(267, 1035, 294, 1062, 296, 1064)(268, 1036, 273, 1041, 275, 1043)(270, 1038, 315, 1083, 316, 1084)(271, 1039, 325, 1093, 326, 1094)(272, 1040, 311, 1079, 313, 1081)(276, 1044, 321, 1089, 323, 1091)(279, 1047, 353, 1121, 354, 1122)(280, 1048, 361, 1129, 362, 1130)(282, 1050, 371, 1139, 372, 1140)(283, 1051, 380, 1148, 381, 1149)(284, 1052, 349, 1117, 351, 1119)(287, 1055, 357, 1125, 359, 1127)(290, 1058, 367, 1135, 369, 1137)(293, 1061, 376, 1144, 378, 1146)(298, 1066, 442, 1210, 444, 1212)(299, 1067, 461, 1229, 463, 1231)(300, 1068, 312, 1080, 434, 1202)(301, 1069, 475, 1243, 476, 1244)(302, 1070, 490, 1258, 492, 1260)(303, 1071, 546, 1314, 557, 1325)(304, 1072, 558, 1326, 560, 1328)(305, 1073, 322, 1090, 562, 1330)(306, 1074, 515, 1283, 564, 1332)(307, 1075, 566, 1334, 568, 1336)(308, 1076, 437, 1205, 439, 1207)(310, 1078, 454, 1222, 457, 1225)(314, 1082, 469, 1237, 472, 1240)(317, 1085, 485, 1253, 486, 1254)(319, 1087, 586, 1354, 588, 1356)(320, 1088, 590, 1358, 505, 1273)(324, 1092, 594, 1362, 595, 1363)(327, 1095, 600, 1368, 527, 1295)(328, 1096, 575, 1343, 602, 1370)(329, 1097, 603, 1371, 604, 1372)(330, 1098, 350, 1118, 606, 1374)(331, 1099, 502, 1270, 607, 1375)(332, 1100, 609, 1377, 611, 1379)(333, 1101, 430, 1198, 612, 1380)(334, 1102, 613, 1381, 409, 1177)(335, 1103, 358, 1126, 614, 1382)(336, 1104, 511, 1279, 616, 1384)(337, 1105, 482, 1250, 618, 1386)(338, 1106, 460, 1228, 619, 1387)(339, 1107, 368, 1136, 487, 1255)(340, 1108, 498, 1266, 452, 1220)(342, 1110, 622, 1390, 623, 1391)(343, 1111, 398, 1166, 624, 1392)(344, 1112, 625, 1393, 387, 1155)(345, 1113, 377, 1145, 626, 1394)(346, 1114, 519, 1287, 628, 1396)(348, 1116, 630, 1398, 507, 1275)(352, 1120, 634, 1402, 635, 1403)(355, 1123, 639, 1407, 549, 1317)(356, 1124, 422, 1190, 496, 1264)(360, 1128, 644, 1412, 617, 1385)(363, 1131, 648, 1416, 552, 1320)(366, 1134, 650, 1418, 509, 1277)(370, 1138, 478, 1246, 655, 1423)(373, 1141, 659, 1427, 440, 1208)(375, 1143, 394, 1162, 494, 1262)(379, 1147, 470, 1238, 601, 1369)(382, 1150, 445, 1213, 561, 1329)(383, 1151, 489, 1257, 668, 1436)(384, 1152, 500, 1268, 483, 1251)(386, 1154, 670, 1438, 671, 1439)(388, 1156, 599, 1367, 397, 1165)(389, 1157, 456, 1224, 672, 1440)(390, 1158, 532, 1300, 674, 1442)(391, 1159, 451, 1219, 675, 1443)(393, 1161, 471, 1239, 458, 1226)(395, 1163, 466, 1234, 559, 1327)(396, 1164, 678, 1446, 679, 1447)(399, 1167, 537, 1305, 681, 1449)(402, 1170, 583, 1351, 684, 1452)(404, 1172, 504, 1272, 686, 1454)(407, 1175, 673, 1441, 690, 1458)(411, 1179, 582, 1350, 428, 1196)(413, 1181, 572, 1340, 694, 1462)(415, 1183, 541, 1309, 696, 1464)(417, 1185, 661, 1429, 680, 1448)(420, 1188, 700, 1468, 693, 1461)(424, 1192, 703, 1471, 551, 1319)(426, 1194, 706, 1474, 707, 1475)(433, 1201, 545, 1313, 712, 1480)(435, 1203, 714, 1482, 524, 1292)(436, 1204, 715, 1483, 636, 1404)(438, 1206, 556, 1324, 488, 1256)(443, 1211, 520, 1288, 484, 1252)(446, 1214, 722, 1490, 473, 1241)(447, 1215, 689, 1457, 474, 1242)(448, 1216, 724, 1492, 587, 1355)(450, 1218, 464, 1232, 726, 1494)(455, 1223, 728, 1496, 480, 1248)(462, 1230, 615, 1383, 732, 1500)(465, 1233, 477, 1245, 605, 1373)(467, 1235, 734, 1502, 526, 1294)(468, 1236, 701, 1469, 645, 1413)(479, 1247, 737, 1505, 567, 1335)(491, 1259, 563, 1331, 739, 1507)(493, 1261, 741, 1509, 743, 1511)(495, 1263, 713, 1481, 745, 1513)(497, 1265, 747, 1515, 705, 1473)(499, 1267, 749, 1517, 750, 1518)(501, 1269, 738, 1506, 677, 1445)(503, 1271, 720, 1488, 748, 1516)(506, 1274, 649, 1417, 752, 1520)(508, 1276, 629, 1397, 754, 1522)(510, 1278, 664, 1432, 621, 1389)(512, 1280, 736, 1504, 685, 1453)(513, 1281, 660, 1428, 716, 1484)(514, 1282, 731, 1499, 669, 1437)(516, 1284, 658, 1426, 744, 1512)(517, 1285, 727, 1495, 662, 1430)(518, 1286, 643, 1411, 608, 1376)(521, 1289, 640, 1408, 756, 1524)(522, 1290, 638, 1406, 746, 1514)(523, 1291, 757, 1525, 641, 1409)(525, 1293, 589, 1357, 759, 1527)(528, 1296, 682, 1450, 761, 1529)(529, 1297, 573, 1341, 719, 1487)(530, 1298, 699, 1467, 762, 1530)(531, 1299, 593, 1361, 585, 1353)(534, 1302, 647, 1415, 751, 1519)(535, 1303, 760, 1528, 591, 1359)(536, 1304, 633, 1401, 565, 1333)(538, 1306, 598, 1366, 753, 1521)(539, 1307, 764, 1532, 631, 1399)(540, 1308, 578, 1346, 569, 1337)(542, 1310, 667, 1435, 730, 1498)(543, 1311, 758, 1526, 576, 1344)(544, 1312, 654, 1422, 554, 1322)(547, 1315, 581, 1349, 755, 1523)(548, 1316, 735, 1503, 652, 1420)(550, 1318, 710, 1478, 683, 1451)(553, 1321, 721, 1489, 711, 1479)(555, 1323, 704, 1472, 765, 1533)(570, 1338, 688, 1456, 723, 1491)(571, 1339, 733, 1501, 708, 1476)(574, 1342, 742, 1510, 656, 1424)(577, 1345, 657, 1425, 717, 1485)(579, 1347, 763, 1531, 692, 1460)(580, 1348, 740, 1508, 663, 1431)(584, 1352, 687, 1455, 729, 1497)(592, 1360, 637, 1405, 768, 1536)(597, 1365, 767, 1535, 642, 1410)(620, 1388, 697, 1465, 702, 1470)(627, 1395, 725, 1493, 695, 1463)(632, 1400, 646, 1414, 766, 1534)(651, 1419, 676, 1444, 665, 1433)(653, 1421, 666, 1434, 718, 1486)
	L = (1, 770)(2, 769)(3, 775)(4, 776)(5, 777)(6, 778)(7, 771)(8, 772)(9, 773)(10, 774)(11, 787)(12, 788)(13, 789)(14, 790)(15, 791)(16, 792)(17, 793)(18, 794)(19, 779)(20, 780)(21, 781)(22, 782)(23, 783)(24, 784)(25, 785)(26, 786)(27, 811)(28, 812)(29, 813)(30, 814)(31, 815)(32, 816)(33, 817)(34, 818)(35, 819)(36, 820)(37, 821)(38, 822)(39, 823)(40, 824)(41, 825)(42, 826)(43, 795)(44, 796)(45, 797)(46, 798)(47, 799)(48, 800)(49, 801)(50, 802)(51, 803)(52, 804)(53, 805)(54, 806)(55, 807)(56, 808)(57, 809)(58, 810)(59, 858)(60, 859)(61, 860)(62, 861)(63, 862)(64, 863)(65, 864)(66, 865)(67, 866)(68, 867)(69, 868)(70, 869)(71, 870)(72, 871)(73, 872)(74, 843)(75, 842)(76, 873)(77, 874)(78, 875)(79, 876)(80, 877)(81, 878)(82, 879)(83, 880)(84, 881)(85, 882)(86, 883)(87, 884)(88, 885)(89, 886)(90, 827)(91, 828)(92, 829)(93, 830)(94, 831)(95, 832)(96, 833)(97, 834)(98, 835)(99, 836)(100, 837)(101, 838)(102, 839)(103, 840)(104, 841)(105, 844)(106, 845)(107, 846)(108, 847)(109, 848)(110, 849)(111, 850)(112, 851)(113, 852)(114, 853)(115, 854)(116, 855)(117, 856)(118, 857)(119, 937)(120, 938)(121, 939)(122, 940)(123, 941)(124, 942)(125, 943)(126, 944)(127, 945)(128, 946)(129, 947)(130, 948)(131, 949)(132, 950)(133, 951)(134, 952)(135, 953)(136, 954)(137, 955)(138, 956)(139, 957)(140, 958)(141, 959)(142, 960)(143, 961)(144, 962)(145, 963)(146, 964)(147, 965)(148, 966)(149, 967)(150, 968)(151, 969)(152, 970)(153, 971)(154, 972)(155, 973)(156, 974)(157, 975)(158, 976)(159, 977)(160, 978)(161, 979)(162, 980)(163, 981)(164, 982)(165, 983)(166, 984)(167, 985)(168, 986)(169, 887)(170, 888)(171, 889)(172, 890)(173, 891)(174, 892)(175, 893)(176, 894)(177, 895)(178, 896)(179, 897)(180, 898)(181, 899)(182, 900)(183, 901)(184, 902)(185, 903)(186, 904)(187, 905)(188, 906)(189, 907)(190, 908)(191, 909)(192, 910)(193, 911)(194, 912)(195, 913)(196, 914)(197, 915)(198, 916)(199, 917)(200, 918)(201, 919)(202, 920)(203, 921)(204, 922)(205, 923)(206, 924)(207, 925)(208, 926)(209, 927)(210, 928)(211, 929)(212, 930)(213, 931)(214, 932)(215, 933)(216, 934)(217, 935)(218, 936)(219, 1202)(220, 1204)(221, 1206)(222, 1145)(223, 1113)(224, 1209)(225, 1211)(226, 1083)(227, 1213)(228, 1215)(229, 1216)(230, 1217)(231, 1219)(232, 1062)(233, 1221)(234, 1223)(235, 1161)(236, 1226)(237, 1228)(238, 1230)(239, 1063)(240, 1232)(241, 1234)(242, 1133)(243, 1236)(244, 1238)(245, 1224)(246, 1157)(247, 1242)(248, 1189)(249, 1059)(250, 1245)(251, 1176)(252, 1247)(253, 1248)(254, 1250)(255, 1079)(256, 1252)(257, 1186)(258, 1107)(259, 1255)(260, 1257)(261, 1259)(262, 1080)(263, 1261)(264, 1263)(265, 1265)(266, 1267)(267, 1269)(268, 1271)(269, 1188)(270, 1274)(271, 1276)(272, 1278)(273, 1280)(274, 1282)(275, 1284)(276, 1286)(277, 1288)(278, 1290)(279, 1289)(280, 1293)(281, 1098)(282, 1281)(283, 1297)(284, 1299)(285, 1301)(286, 1302)(287, 1304)(288, 1178)(289, 1306)(290, 1308)(291, 1017)(292, 1310)(293, 1312)(294, 1000)(295, 1007)(296, 1315)(297, 1103)(298, 1285)(299, 1179)(300, 1073)(301, 1272)(302, 1322)(303, 1291)(304, 1156)(305, 1068)(306, 1268)(307, 1333)(308, 1337)(309, 1339)(310, 1341)(311, 1023)(312, 1030)(313, 1344)(314, 1346)(315, 994)(316, 1348)(317, 1350)(318, 1181)(319, 1353)(320, 1357)(321, 1197)(322, 1153)(323, 1359)(324, 1361)(325, 1364)(326, 1365)(327, 1367)(328, 1303)(329, 1166)(330, 1049)(331, 1262)(332, 1376)(333, 1307)(334, 1112)(335, 1065)(336, 1266)(337, 1311)(338, 1198)(339, 1026)(340, 1264)(341, 1126)(342, 1389)(343, 1316)(344, 1102)(345, 991)(346, 1270)(347, 1340)(348, 1397)(349, 1383)(350, 1163)(351, 1399)(352, 1401)(353, 1404)(354, 1405)(355, 1392)(356, 1408)(357, 1331)(358, 1109)(359, 1409)(360, 1411)(361, 1413)(362, 1414)(363, 1393)(364, 1371)(365, 1010)(366, 1417)(367, 1395)(368, 1192)(369, 1420)(370, 1422)(371, 1424)(372, 1425)(373, 1380)(374, 1351)(375, 1428)(376, 1321)(377, 990)(378, 1430)(379, 1432)(380, 1433)(381, 1434)(382, 1381)(383, 1314)(384, 1273)(385, 1090)(386, 1437)(387, 1345)(388, 1072)(389, 1014)(390, 1279)(391, 1349)(392, 1343)(393, 1003)(394, 1275)(395, 1118)(396, 1445)(397, 1352)(398, 1097)(399, 1283)(400, 1330)(401, 1451)(402, 1210)(403, 1453)(404, 1225)(405, 1416)(406, 1456)(407, 1457)(408, 1019)(409, 1360)(410, 1056)(411, 1067)(412, 1461)(413, 1086)(414, 1463)(415, 1287)(416, 1347)(417, 1366)(418, 1025)(419, 1412)(420, 1037)(421, 1016)(422, 1277)(423, 1470)(424, 1136)(425, 1472)(426, 1473)(427, 1476)(428, 1241)(429, 1089)(430, 1106)(431, 1374)(432, 1479)(433, 1243)(434, 987)(435, 1481)(436, 988)(437, 1441)(438, 989)(439, 1485)(440, 1487)(441, 992)(442, 1170)(443, 993)(444, 1455)(445, 995)(446, 1325)(447, 996)(448, 997)(449, 998)(450, 1313)(451, 999)(452, 1495)(453, 1001)(454, 1296)(455, 1002)(456, 1013)(457, 1172)(458, 1004)(459, 1499)(460, 1005)(461, 1465)(462, 1006)(463, 1421)(464, 1008)(465, 1326)(466, 1009)(467, 1468)(468, 1011)(469, 1448)(470, 1012)(471, 1467)(472, 1497)(473, 1196)(474, 1015)(475, 1201)(476, 1503)(477, 1018)(478, 1370)(479, 1020)(480, 1021)(481, 1342)(482, 1022)(483, 1454)(484, 1024)(485, 1318)(486, 1484)(487, 1027)(488, 1506)(489, 1028)(490, 1474)(491, 1029)(492, 1486)(493, 1031)(494, 1099)(495, 1032)(496, 1108)(497, 1033)(498, 1104)(499, 1034)(500, 1074)(501, 1035)(502, 1114)(503, 1036)(504, 1069)(505, 1152)(506, 1038)(507, 1162)(508, 1039)(509, 1190)(510, 1040)(511, 1158)(512, 1041)(513, 1050)(514, 1042)(515, 1167)(516, 1043)(517, 1066)(518, 1044)(519, 1183)(520, 1045)(521, 1047)(522, 1046)(523, 1071)(524, 1358)(525, 1048)(526, 1398)(527, 1524)(528, 1222)(529, 1051)(530, 1418)(531, 1052)(532, 1491)(533, 1053)(534, 1054)(535, 1096)(536, 1055)(537, 1460)(538, 1057)(539, 1101)(540, 1058)(541, 1492)(542, 1060)(543, 1105)(544, 1061)(545, 1218)(546, 1151)(547, 1064)(548, 1111)(549, 1527)(550, 1253)(551, 1482)(552, 1522)(553, 1144)(554, 1070)(555, 1502)(556, 1368)(557, 1214)(558, 1233)(559, 1529)(560, 1400)(561, 1520)(562, 1168)(563, 1125)(564, 1532)(565, 1075)(566, 1446)(567, 1530)(568, 1534)(569, 1076)(570, 1505)(571, 1077)(572, 1115)(573, 1078)(574, 1249)(575, 1160)(576, 1081)(577, 1155)(578, 1082)(579, 1184)(580, 1084)(581, 1159)(582, 1085)(583, 1142)(584, 1165)(585, 1087)(586, 1438)(587, 1533)(588, 1536)(589, 1088)(590, 1292)(591, 1091)(592, 1177)(593, 1092)(594, 1443)(595, 1490)(596, 1093)(597, 1094)(598, 1185)(599, 1095)(600, 1324)(601, 1407)(602, 1246)(603, 1132)(604, 1410)(605, 1513)(606, 1199)(607, 1525)(608, 1100)(609, 1390)(610, 1471)(611, 1535)(612, 1141)(613, 1150)(614, 1494)(615, 1117)(616, 1528)(617, 1427)(618, 1402)(619, 1431)(620, 1511)(621, 1110)(622, 1377)(623, 1508)(624, 1123)(625, 1131)(626, 1531)(627, 1135)(628, 1526)(629, 1116)(630, 1294)(631, 1119)(632, 1328)(633, 1120)(634, 1386)(635, 1423)(636, 1121)(637, 1122)(638, 1493)(639, 1369)(640, 1124)(641, 1127)(642, 1372)(643, 1128)(644, 1187)(645, 1129)(646, 1130)(647, 1458)(648, 1173)(649, 1134)(650, 1298)(651, 1466)(652, 1137)(653, 1231)(654, 1138)(655, 1403)(656, 1139)(657, 1140)(658, 1500)(659, 1385)(660, 1143)(661, 1459)(662, 1146)(663, 1387)(664, 1147)(665, 1148)(666, 1149)(667, 1439)(668, 1498)(669, 1154)(670, 1354)(671, 1435)(672, 1464)(673, 1205)(674, 1462)(675, 1362)(676, 1518)(677, 1164)(678, 1334)(679, 1501)(680, 1237)(681, 1523)(682, 1509)(683, 1169)(684, 1519)(685, 1171)(686, 1251)(687, 1212)(688, 1174)(689, 1175)(690, 1415)(691, 1429)(692, 1305)(693, 1180)(694, 1442)(695, 1182)(696, 1440)(697, 1229)(698, 1419)(699, 1239)(700, 1235)(701, 1516)(702, 1191)(703, 1378)(704, 1193)(705, 1194)(706, 1258)(707, 1496)(708, 1195)(709, 1504)(710, 1515)(711, 1200)(712, 1521)(713, 1203)(714, 1319)(715, 1512)(716, 1254)(717, 1207)(718, 1260)(719, 1208)(720, 1507)(721, 1517)(722, 1363)(723, 1300)(724, 1309)(725, 1406)(726, 1382)(727, 1220)(728, 1475)(729, 1240)(730, 1436)(731, 1227)(732, 1426)(733, 1447)(734, 1323)(735, 1244)(736, 1477)(737, 1338)(738, 1256)(739, 1488)(740, 1391)(741, 1450)(742, 1514)(743, 1388)(744, 1483)(745, 1373)(746, 1510)(747, 1478)(748, 1469)(749, 1489)(750, 1444)(751, 1452)(752, 1329)(753, 1480)(754, 1320)(755, 1449)(756, 1295)(757, 1375)(758, 1396)(759, 1317)(760, 1384)(761, 1327)(762, 1335)(763, 1394)(764, 1332)(765, 1355)(766, 1336)(767, 1379)(768, 1356)
	local type(s) :: { ( 2, 8, 2, 8, 2, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2374
Transitivity :: ET+ VT+ AT
Graph:: bipartite
	v = 256 e = 768 f = 480
	degree seq :: [ 6^256 ]

E17.2376 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ F^2, T1^3, (F * T2)^2, (T2 * T1)^2, (F * T1)^2, T2^8, (T2^3 * T1^-1)^4, T2 * T1^-1 * T2^-3 * T1 * T2^-2 * T1 * T2^2 * T1 * T2^-2 * T1 * T2^-2 * T1, (T2^-2 * T1)^6, T2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-2 * T1 * T2^2 * T1^-1 * T2^-3 * T1^-1 * T2 * T1^-1 * T2^-3 * T1^-1 ]
Map::
	R = (1, 769, 3, 771, 9, 777, 19, 787, 37, 805, 26, 794, 13, 781, 5, 773)(2, 770, 6, 774, 14, 782, 27, 795, 49, 817, 32, 800, 16, 784, 7, 775)(4, 772, 11, 779, 22, 790, 41, 809, 60, 828, 34, 802, 17, 785, 8, 776)(10, 778, 21, 789, 40, 808, 68, 836, 100, 868, 62, 830, 35, 803, 18, 786)(12, 780, 23, 791, 43, 811, 73, 841, 115, 883, 76, 844, 44, 812, 24, 792)(15, 783, 29, 797, 52, 820, 85, 853, 134, 902, 88, 856, 53, 821, 30, 798)(20, 788, 39, 807, 67, 835, 106, 874, 160, 928, 102, 870, 63, 831, 36, 804)(25, 793, 45, 813, 77, 845, 121, 889, 186, 954, 124, 892, 78, 846, 46, 814)(28, 796, 51, 819, 84, 852, 131, 899, 197, 965, 127, 895, 80, 848, 48, 816)(31, 799, 54, 822, 89, 857, 140, 908, 215, 983, 143, 911, 90, 858, 55, 823)(33, 801, 57, 825, 92, 860, 145, 913, 224, 992, 148, 916, 93, 861, 58, 826)(38, 806, 66, 834, 105, 873, 164, 932, 250, 1018, 162, 930, 103, 871, 64, 832)(42, 810, 72, 840, 113, 881, 175, 943, 266, 1034, 173, 941, 111, 879, 70, 838)(47, 815, 65, 833, 104, 872, 163, 931, 251, 1019, 193, 961, 125, 893, 79, 847)(50, 818, 83, 851, 130, 898, 201, 969, 300, 1068, 199, 967, 128, 896, 81, 849)(56, 824, 82, 850, 129, 897, 200, 968, 301, 1069, 222, 990, 144, 912, 91, 859)(59, 827, 94, 862, 149, 917, 230, 998, 335, 1103, 233, 1001, 150, 918, 95, 863)(61, 829, 97, 865, 152, 920, 235, 1003, 342, 1110, 238, 1006, 153, 921, 98, 866)(69, 837, 110, 878, 171, 939, 261, 1029, 372, 1140, 259, 1027, 169, 937, 108, 876)(71, 839, 112, 880, 174, 942, 267, 1035, 340, 1108, 234, 1002, 151, 919, 96, 864)(74, 842, 117, 885, 181, 949, 277, 1045, 386, 1154, 273, 1041, 177, 945, 114, 882)(75, 843, 118, 886, 182, 950, 279, 1047, 393, 1161, 282, 1050, 183, 951, 119, 887)(86, 854, 136, 904, 210, 978, 313, 1081, 425, 1193, 309, 1077, 206, 974, 133, 901)(87, 855, 137, 905, 211, 979, 315, 1083, 431, 1199, 318, 1086, 212, 980, 138, 906)(99, 867, 154, 922, 239, 1007, 348, 1116, 380, 1148, 270, 1038, 240, 1008, 155, 923)(101, 869, 157, 925, 242, 1010, 352, 1120, 468, 1236, 355, 1123, 243, 1011, 158, 926)(107, 875, 168, 936, 257, 1025, 368, 1136, 486, 1254, 367, 1135, 255, 1023, 166, 934)(109, 877, 170, 938, 260, 1028, 191, 959, 285, 1053, 351, 1119, 241, 1009, 156, 924)(116, 884, 180, 948, 276, 1044, 220, 988, 321, 1089, 388, 1156, 274, 1042, 178, 946)(120, 888, 179, 947, 275, 1043, 358, 1126, 246, 1014, 167, 935, 256, 1024, 184, 952)(122, 890, 188, 956, 287, 1055, 401, 1169, 515, 1283, 398, 1166, 283, 1051, 185, 953)(123, 891, 189, 957, 288, 1056, 403, 1171, 520, 1288, 404, 1172, 289, 1057, 190, 958)(126, 894, 194, 962, 292, 1060, 406, 1174, 525, 1293, 409, 1177, 293, 1061, 195, 963)(132, 900, 205, 973, 307, 1075, 421, 1189, 541, 1309, 420, 1188, 305, 1073, 203, 971)(135, 903, 209, 977, 312, 1080, 229, 997, 329, 1097, 427, 1195, 310, 1078, 207, 975)(139, 907, 208, 976, 311, 1079, 412, 1180, 296, 1064, 204, 972, 306, 1074, 213, 981)(141, 909, 217, 985, 323, 1091, 439, 1207, 558, 1326, 436, 1204, 319, 1087, 214, 982)(142, 910, 218, 986, 324, 1092, 441, 1209, 563, 1331, 442, 1210, 325, 1093, 219, 987)(146, 914, 226, 994, 331, 1099, 448, 1216, 568, 1336, 445, 1213, 327, 1095, 223, 991)(147, 915, 227, 995, 332, 1100, 450, 1218, 572, 1340, 451, 1219, 333, 1101, 228, 996)(159, 927, 244, 1012, 356, 1124, 474, 1242, 492, 1260, 374, 1142, 357, 1125, 245, 1013)(161, 929, 247, 1015, 359, 1127, 477, 1245, 601, 1369, 480, 1248, 360, 1128, 248, 1016)(165, 933, 254, 1022, 365, 1133, 483, 1251, 443, 1211, 326, 1094, 221, 989, 253, 1021)(172, 940, 263, 1031, 376, 1144, 493, 1261, 615, 1383, 496, 1264, 377, 1145, 264, 1032)(176, 944, 271, 1039, 382, 1150, 499, 1267, 590, 1358, 466, 1234, 350, 1118, 269, 1037)(187, 955, 286, 1054, 400, 1168, 396, 1164, 509, 1277, 516, 1284, 399, 1167, 284, 1052)(192, 960, 290, 1058, 268, 1036, 381, 1149, 498, 1266, 523, 1291, 405, 1173, 291, 1059)(196, 964, 294, 1062, 410, 1178, 530, 1298, 504, 1272, 390, 1158, 411, 1179, 295, 1063)(198, 966, 297, 1065, 413, 1181, 532, 1300, 647, 1415, 535, 1303, 414, 1182, 298, 1066)(202, 970, 304, 1072, 418, 1186, 538, 1306, 455, 1223, 338, 1106, 232, 1000, 303, 1071)(216, 984, 322, 1090, 438, 1206, 434, 1202, 552, 1320, 559, 1327, 437, 1205, 320, 1088)(225, 993, 330, 1098, 447, 1215, 347, 1115, 459, 1227, 569, 1337, 446, 1214, 328, 1096)(231, 999, 337, 1105, 454, 1222, 577, 1345, 681, 1449, 575, 1343, 452, 1220, 334, 1102)(236, 1004, 344, 1112, 461, 1229, 584, 1352, 685, 1453, 581, 1349, 457, 1225, 341, 1109)(237, 1005, 345, 1113, 462, 1230, 586, 1354, 549, 1317, 428, 1196, 314, 1082, 346, 1114)(249, 1017, 361, 1129, 302, 1070, 417, 1185, 537, 1305, 487, 1255, 481, 1249, 362, 1130)(252, 1020, 364, 1132, 482, 1250, 522, 1290, 579, 1347, 456, 1224, 339, 1107, 363, 1131)(258, 1026, 369, 1137, 488, 1256, 610, 1378, 706, 1474, 612, 1380, 489, 1257, 370, 1138)(262, 1030, 375, 1143, 281, 1049, 395, 1163, 511, 1279, 599, 1367, 476, 1244, 373, 1141)(265, 1033, 378, 1146, 464, 1232, 588, 1356, 547, 1315, 429, 1197, 497, 1265, 379, 1147)(272, 1040, 383, 1151, 500, 1268, 620, 1388, 714, 1482, 622, 1390, 501, 1269, 384, 1152)(278, 1046, 391, 1159, 317, 1085, 433, 1201, 554, 1322, 626, 1394, 506, 1274, 389, 1157)(280, 1048, 366, 1134, 484, 1252, 607, 1375, 703, 1471, 628, 1396, 507, 1275, 392, 1160)(299, 1067, 415, 1183, 336, 1104, 453, 1221, 576, 1344, 542, 1310, 536, 1304, 416, 1184)(308, 1076, 422, 1190, 543, 1311, 655, 1423, 737, 1505, 657, 1425, 544, 1312, 423, 1191)(316, 1084, 419, 1187, 539, 1307, 652, 1420, 734, 1502, 662, 1430, 550, 1318, 430, 1198)(343, 1111, 460, 1228, 583, 1351, 473, 1241, 593, 1361, 686, 1454, 582, 1350, 458, 1226)(349, 1117, 465, 1233, 589, 1357, 691, 1459, 759, 1527, 690, 1458, 587, 1355, 463, 1231)(353, 1121, 470, 1238, 595, 1363, 694, 1462, 742, 1510, 661, 1429, 591, 1359, 467, 1235)(354, 1122, 471, 1239, 596, 1364, 695, 1463, 677, 1445, 570, 1338, 449, 1217, 472, 1240)(371, 1139, 490, 1258, 598, 1366, 697, 1465, 676, 1444, 571, 1339, 613, 1381, 491, 1259)(385, 1153, 502, 1270, 623, 1391, 717, 1485, 635, 1403, 518, 1286, 624, 1392, 503, 1271)(387, 1155, 505, 1273, 625, 1393, 718, 1486, 761, 1529, 696, 1464, 597, 1365, 475, 1243)(394, 1162, 510, 1278, 630, 1398, 529, 1297, 641, 1409, 720, 1488, 629, 1397, 508, 1276)(397, 1165, 512, 1280, 631, 1399, 656, 1424, 738, 1506, 721, 1489, 632, 1400, 513, 1281)(402, 1170, 519, 1287, 408, 1176, 528, 1296, 644, 1412, 723, 1491, 636, 1404, 517, 1285)(407, 1175, 527, 1295, 643, 1411, 727, 1495, 684, 1452, 580, 1348, 639, 1407, 524, 1292)(424, 1192, 545, 1313, 658, 1426, 740, 1508, 669, 1437, 561, 1329, 659, 1427, 546, 1314)(426, 1194, 548, 1316, 660, 1428, 741, 1509, 765, 1533, 728, 1496, 645, 1413, 531, 1299)(432, 1200, 553, 1321, 664, 1432, 619, 1387, 711, 1479, 743, 1511, 663, 1431, 551, 1319)(435, 1203, 555, 1323, 665, 1433, 611, 1379, 707, 1475, 744, 1512, 666, 1434, 556, 1324)(440, 1208, 562, 1330, 495, 1263, 618, 1386, 713, 1481, 746, 1514, 670, 1438, 560, 1328)(444, 1212, 565, 1333, 672, 1440, 621, 1389, 715, 1483, 748, 1516, 673, 1441, 566, 1334)(469, 1237, 594, 1362, 693, 1461, 606, 1374, 700, 1468, 760, 1528, 692, 1460, 592, 1360)(478, 1246, 603, 1371, 564, 1332, 671, 1439, 747, 1515, 739, 1507, 698, 1466, 600, 1368)(479, 1247, 604, 1372, 702, 1470, 735, 1503, 757, 1525, 687, 1455, 585, 1353, 605, 1373)(485, 1253, 608, 1376, 534, 1302, 650, 1418, 733, 1501, 688, 1456, 705, 1473, 609, 1377)(494, 1262, 617, 1385, 689, 1457, 758, 1526, 719, 1487, 627, 1395, 709, 1477, 614, 1382)(514, 1282, 633, 1401, 722, 1490, 762, 1530, 699, 1467, 602, 1370, 701, 1469, 634, 1402)(521, 1289, 638, 1406, 724, 1492, 716, 1484, 756, 1524, 682, 1450, 578, 1346, 637, 1405)(526, 1294, 642, 1410, 726, 1494, 651, 1419, 731, 1499, 764, 1532, 725, 1493, 640, 1408)(533, 1301, 649, 1417, 573, 1341, 678, 1446, 751, 1519, 708, 1476, 729, 1497, 646, 1414)(540, 1308, 653, 1421, 574, 1342, 679, 1447, 752, 1520, 704, 1472, 736, 1504, 654, 1422)(557, 1325, 667, 1435, 745, 1513, 766, 1534, 730, 1498, 648, 1416, 732, 1500, 668, 1436)(567, 1335, 674, 1442, 749, 1517, 767, 1535, 755, 1523, 683, 1451, 750, 1518, 675, 1443)(616, 1384, 712, 1480, 754, 1522, 680, 1448, 753, 1521, 768, 1536, 763, 1531, 710, 1478)
	L = (1, 770)(2, 772)(3, 776)(4, 769)(5, 780)(6, 773)(7, 783)(8, 778)(9, 786)(10, 771)(11, 775)(12, 774)(13, 793)(14, 792)(15, 779)(16, 799)(17, 801)(18, 788)(19, 804)(20, 777)(21, 785)(22, 798)(23, 781)(24, 796)(25, 791)(26, 815)(27, 816)(28, 782)(29, 784)(30, 810)(31, 797)(32, 824)(33, 789)(34, 827)(35, 829)(36, 806)(37, 832)(38, 787)(39, 803)(40, 826)(41, 838)(42, 790)(43, 814)(44, 843)(45, 794)(46, 842)(47, 813)(48, 818)(49, 849)(50, 795)(51, 812)(52, 823)(53, 855)(54, 800)(55, 854)(56, 822)(57, 802)(58, 837)(59, 825)(60, 864)(61, 807)(62, 867)(63, 869)(64, 833)(65, 805)(66, 831)(67, 866)(68, 876)(69, 808)(70, 839)(71, 809)(72, 821)(73, 882)(74, 811)(75, 819)(76, 888)(77, 847)(78, 891)(79, 890)(80, 894)(81, 850)(82, 817)(83, 848)(84, 887)(85, 901)(86, 820)(87, 840)(88, 907)(89, 859)(90, 910)(91, 909)(92, 863)(93, 915)(94, 828)(95, 914)(96, 862)(97, 830)(98, 875)(99, 865)(100, 924)(101, 834)(102, 927)(103, 929)(104, 871)(105, 926)(106, 934)(107, 835)(108, 877)(109, 836)(110, 861)(111, 940)(112, 879)(113, 906)(114, 884)(115, 946)(116, 841)(117, 846)(118, 844)(119, 900)(120, 886)(121, 953)(122, 845)(123, 885)(124, 959)(125, 960)(126, 851)(127, 964)(128, 966)(129, 896)(130, 963)(131, 971)(132, 852)(133, 903)(134, 975)(135, 853)(136, 858)(137, 856)(138, 944)(139, 905)(140, 982)(141, 857)(142, 904)(143, 988)(144, 989)(145, 991)(146, 860)(147, 878)(148, 997)(149, 919)(150, 1000)(151, 999)(152, 923)(153, 1005)(154, 868)(155, 1004)(156, 922)(157, 870)(158, 933)(159, 925)(160, 1014)(161, 872)(162, 1017)(163, 1016)(164, 1021)(165, 873)(166, 935)(167, 874)(168, 921)(169, 1026)(170, 937)(171, 996)(172, 880)(173, 1033)(174, 1032)(175, 1037)(176, 881)(177, 1040)(178, 947)(179, 883)(180, 945)(181, 958)(182, 952)(183, 1049)(184, 1048)(185, 955)(186, 1052)(187, 889)(188, 893)(189, 892)(190, 1046)(191, 957)(192, 956)(193, 1035)(194, 895)(195, 970)(196, 962)(197, 1064)(198, 897)(199, 1067)(200, 1066)(201, 1071)(202, 898)(203, 972)(204, 899)(205, 951)(206, 1076)(207, 976)(208, 902)(209, 974)(210, 987)(211, 981)(212, 1085)(213, 1084)(214, 984)(215, 1088)(216, 908)(217, 912)(218, 911)(219, 1082)(220, 986)(221, 985)(222, 932)(223, 993)(224, 1096)(225, 913)(226, 918)(227, 916)(228, 1030)(229, 995)(230, 1102)(231, 917)(232, 994)(233, 969)(234, 1107)(235, 1109)(236, 920)(237, 936)(238, 1115)(239, 1009)(240, 1118)(241, 1117)(242, 1013)(243, 1122)(244, 928)(245, 1121)(246, 1012)(247, 930)(248, 1020)(249, 1015)(250, 1069)(251, 1131)(252, 931)(253, 990)(254, 1011)(255, 1134)(256, 1023)(257, 1114)(258, 938)(259, 1139)(260, 1138)(261, 1141)(262, 939)(263, 941)(264, 1036)(265, 1031)(266, 1148)(267, 1058)(268, 942)(269, 1038)(270, 943)(271, 980)(272, 948)(273, 1153)(274, 1155)(275, 1042)(276, 1152)(277, 1157)(278, 949)(279, 1160)(280, 950)(281, 973)(282, 1164)(283, 1165)(284, 1053)(285, 954)(286, 1051)(287, 1059)(288, 1028)(289, 1150)(290, 961)(291, 1170)(292, 1063)(293, 1176)(294, 965)(295, 1175)(296, 1062)(297, 967)(298, 1070)(299, 1065)(300, 1103)(301, 1129)(302, 968)(303, 1001)(304, 1061)(305, 1187)(306, 1073)(307, 1143)(308, 977)(309, 1192)(310, 1194)(311, 1078)(312, 1191)(313, 1196)(314, 978)(315, 1198)(316, 979)(317, 1039)(318, 1202)(319, 1203)(320, 1089)(321, 983)(322, 1087)(323, 1094)(324, 1044)(325, 1025)(326, 1208)(327, 1212)(328, 1097)(329, 992)(330, 1095)(331, 1106)(332, 1080)(333, 1075)(334, 1104)(335, 1183)(336, 998)(337, 1002)(338, 1217)(339, 1105)(340, 1019)(341, 1111)(342, 1226)(343, 1003)(344, 1008)(345, 1006)(346, 1093)(347, 1113)(348, 1231)(349, 1007)(350, 1112)(351, 1167)(352, 1235)(353, 1010)(354, 1022)(355, 1241)(356, 1126)(357, 1244)(358, 1243)(359, 1130)(360, 1247)(361, 1018)(362, 1246)(363, 1108)(364, 1128)(365, 1240)(366, 1024)(367, 1253)(368, 1210)(369, 1027)(370, 1056)(371, 1137)(372, 1260)(373, 1142)(374, 1029)(375, 1101)(376, 1147)(377, 1263)(378, 1034)(379, 1262)(380, 1146)(381, 1145)(382, 1159)(383, 1041)(384, 1092)(385, 1151)(386, 1272)(387, 1043)(388, 1205)(389, 1158)(390, 1045)(391, 1057)(392, 1162)(393, 1276)(394, 1047)(395, 1050)(396, 1163)(397, 1054)(398, 1282)(399, 1233)(400, 1281)(401, 1285)(402, 1055)(403, 1257)(404, 1290)(405, 1186)(406, 1292)(407, 1060)(408, 1072)(409, 1297)(410, 1180)(411, 1274)(412, 1299)(413, 1184)(414, 1302)(415, 1068)(416, 1301)(417, 1182)(418, 1287)(419, 1074)(420, 1308)(421, 1219)(422, 1077)(423, 1100)(424, 1190)(425, 1315)(426, 1079)(427, 1214)(428, 1197)(429, 1081)(430, 1200)(431, 1319)(432, 1083)(433, 1086)(434, 1201)(435, 1090)(436, 1325)(437, 1273)(438, 1324)(439, 1328)(440, 1091)(441, 1269)(442, 1255)(443, 1266)(444, 1098)(445, 1335)(446, 1316)(447, 1334)(448, 1338)(449, 1099)(450, 1312)(451, 1310)(452, 1342)(453, 1220)(454, 1224)(455, 1133)(456, 1346)(457, 1348)(458, 1227)(459, 1110)(460, 1225)(461, 1234)(462, 1215)(463, 1232)(464, 1116)(465, 1119)(466, 1353)(467, 1237)(468, 1360)(469, 1120)(470, 1125)(471, 1123)(472, 1223)(473, 1239)(474, 1365)(475, 1124)(476, 1238)(477, 1368)(478, 1127)(479, 1132)(480, 1374)(481, 1331)(482, 1373)(483, 1306)(484, 1135)(485, 1252)(486, 1305)(487, 1136)(488, 1259)(489, 1289)(490, 1140)(491, 1379)(492, 1258)(493, 1382)(494, 1144)(495, 1149)(496, 1387)(497, 1317)(498, 1330)(499, 1172)(500, 1271)(501, 1332)(502, 1154)(503, 1389)(504, 1270)(505, 1156)(506, 1295)(507, 1395)(508, 1277)(509, 1161)(510, 1275)(511, 1168)(512, 1166)(513, 1279)(514, 1280)(515, 1403)(516, 1397)(517, 1286)(518, 1169)(519, 1173)(520, 1405)(521, 1171)(522, 1267)(523, 1251)(524, 1294)(525, 1408)(526, 1174)(527, 1179)(528, 1177)(529, 1296)(530, 1413)(531, 1178)(532, 1414)(533, 1181)(534, 1185)(535, 1419)(536, 1340)(537, 1376)(538, 1291)(539, 1188)(540, 1307)(541, 1344)(542, 1189)(543, 1314)(544, 1341)(545, 1193)(546, 1424)(547, 1313)(548, 1195)(549, 1385)(550, 1429)(551, 1320)(552, 1199)(553, 1318)(554, 1206)(555, 1204)(556, 1322)(557, 1323)(558, 1437)(559, 1431)(560, 1329)(561, 1207)(562, 1211)(563, 1371)(564, 1209)(565, 1213)(566, 1230)(567, 1333)(568, 1444)(569, 1350)(570, 1339)(571, 1216)(572, 1417)(573, 1218)(574, 1221)(575, 1448)(576, 1421)(577, 1450)(578, 1222)(579, 1288)(580, 1228)(581, 1410)(582, 1428)(583, 1452)(584, 1455)(585, 1229)(586, 1441)(587, 1426)(588, 1355)(589, 1284)(590, 1250)(591, 1430)(592, 1361)(593, 1236)(594, 1359)(595, 1367)(596, 1351)(597, 1366)(598, 1242)(599, 1400)(600, 1370)(601, 1467)(602, 1245)(603, 1249)(604, 1248)(605, 1358)(606, 1372)(607, 1377)(608, 1254)(609, 1472)(610, 1433)(611, 1256)(612, 1476)(613, 1445)(614, 1384)(615, 1478)(616, 1261)(617, 1265)(618, 1264)(619, 1386)(620, 1440)(621, 1268)(622, 1484)(623, 1298)(624, 1404)(625, 1327)(626, 1434)(627, 1278)(628, 1480)(629, 1357)(630, 1487)(631, 1402)(632, 1363)(633, 1283)(634, 1423)(635, 1401)(636, 1483)(637, 1347)(638, 1380)(639, 1349)(640, 1409)(641, 1293)(642, 1407)(643, 1394)(644, 1398)(645, 1391)(646, 1416)(647, 1498)(648, 1300)(649, 1304)(650, 1303)(651, 1418)(652, 1422)(653, 1309)(654, 1503)(655, 1399)(656, 1311)(657, 1507)(658, 1356)(659, 1438)(660, 1337)(661, 1321)(662, 1362)(663, 1393)(664, 1510)(665, 1436)(666, 1411)(667, 1326)(668, 1378)(669, 1435)(670, 1506)(671, 1390)(672, 1443)(673, 1457)(674, 1336)(675, 1388)(676, 1442)(677, 1475)(678, 1425)(679, 1343)(680, 1447)(681, 1523)(682, 1451)(683, 1345)(684, 1364)(685, 1501)(686, 1460)(687, 1456)(688, 1352)(689, 1354)(690, 1513)(691, 1488)(692, 1509)(693, 1502)(694, 1489)(695, 1495)(696, 1517)(697, 1464)(698, 1505)(699, 1468)(700, 1369)(701, 1466)(702, 1461)(703, 1520)(704, 1375)(705, 1525)(706, 1500)(707, 1381)(708, 1406)(709, 1396)(710, 1479)(711, 1383)(712, 1477)(713, 1432)(714, 1518)(715, 1392)(716, 1439)(717, 1496)(718, 1511)(719, 1412)(720, 1493)(721, 1514)(722, 1485)(723, 1526)(724, 1519)(725, 1459)(726, 1453)(727, 1512)(728, 1490)(729, 1474)(730, 1499)(731, 1415)(732, 1497)(733, 1494)(734, 1470)(735, 1420)(736, 1473)(737, 1469)(738, 1427)(739, 1446)(740, 1458)(741, 1454)(742, 1481)(743, 1531)(744, 1463)(745, 1508)(746, 1462)(747, 1492)(748, 1491)(749, 1465)(750, 1524)(751, 1515)(752, 1522)(753, 1449)(754, 1471)(755, 1521)(756, 1482)(757, 1504)(758, 1516)(759, 1532)(760, 1530)(761, 1536)(762, 1533)(763, 1486)(764, 1534)(765, 1528)(766, 1527)(767, 1529)(768, 1535)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: reflexible
Dual of E17.2372
Transitivity :: ET+ VT+ AT
Graph::
	v = 96 e = 768 f = 640
	degree seq :: [ 16^96 ]

E17.2377 :: Family: { 2* } :: Oriented family(ies): { E3*b }
Signature :: (0; {2, 3, 8})
Quotient :: loop
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ T2^2, F^2, (F * T1)^2, (F * T2)^2, (T2 * T1^-1)^3, T1^8, T1^8, T2 * T1^3 * T2 * T1^-1 * T2 * T1^3 * T2 * T1^4 * T2 * T1^-4, T2 * T1^3 * T2 * T1^-4 * T2 * T1^3 * T2 * T1^-2 * T2 * T1^-2 * T2 * T1^-2, T1^-1 * T2 * T1 * T2 * T1^-1 * T2 * T1^2 * T2 * T1^3 * T2 * T1^2 * T2 * T1^-2 * T2 * T1^-3 * T2 * T1^-1, (T1^-2 * T2 * T1^2 * T2)^4 ]
Map:: polyhedral non-degenerate
	R = (1, 769, 3, 771)(2, 770, 6, 774)(4, 772, 9, 777)(5, 773, 12, 780)(7, 775, 16, 784)(8, 776, 13, 781)(10, 778, 19, 787)(11, 779, 22, 790)(14, 782, 23, 791)(15, 783, 28, 796)(17, 785, 30, 798)(18, 786, 33, 801)(20, 788, 35, 803)(21, 789, 36, 804)(24, 792, 37, 805)(25, 793, 42, 810)(26, 794, 43, 811)(27, 795, 46, 814)(29, 797, 47, 815)(31, 799, 51, 819)(32, 800, 53, 821)(34, 802, 56, 824)(38, 806, 58, 826)(39, 807, 63, 831)(40, 808, 64, 832)(41, 809, 67, 835)(44, 812, 70, 838)(45, 813, 71, 839)(48, 816, 72, 840)(49, 817, 76, 844)(50, 818, 79, 847)(52, 820, 81, 849)(54, 822, 82, 850)(55, 823, 86, 854)(57, 825, 59, 827)(60, 828, 92, 860)(61, 829, 93, 861)(62, 830, 96, 864)(65, 833, 99, 867)(66, 834, 100, 868)(68, 836, 101, 869)(69, 837, 105, 873)(73, 841, 107, 875)(74, 842, 112, 880)(75, 843, 113, 881)(77, 845, 116, 884)(78, 846, 118, 886)(80, 848, 108, 876)(83, 851, 121, 889)(84, 852, 125, 893)(85, 853, 127, 895)(87, 855, 128, 896)(88, 856, 132, 900)(89, 857, 134, 902)(90, 858, 135, 903)(91, 859, 138, 906)(94, 862, 141, 909)(95, 863, 142, 910)(97, 865, 143, 911)(98, 866, 147, 915)(102, 870, 149, 917)(103, 871, 153, 921)(104, 872, 156, 924)(106, 874, 150, 918)(109, 877, 162, 930)(110, 878, 163, 931)(111, 879, 166, 934)(114, 882, 169, 937)(115, 883, 171, 939)(117, 885, 173, 941)(119, 887, 174, 942)(120, 888, 178, 946)(122, 890, 172, 940)(123, 891, 182, 950)(124, 892, 183, 951)(126, 894, 186, 954)(129, 897, 187, 955)(130, 898, 191, 959)(131, 899, 193, 961)(133, 901, 196, 964)(136, 904, 199, 967)(137, 905, 200, 968)(139, 907, 201, 969)(140, 908, 205, 973)(144, 912, 207, 975)(145, 913, 211, 979)(146, 914, 214, 982)(148, 916, 208, 976)(151, 919, 220, 988)(152, 920, 221, 989)(154, 922, 224, 992)(155, 923, 225, 993)(157, 925, 226, 994)(158, 926, 230, 998)(159, 927, 232, 1000)(160, 928, 233, 1001)(161, 929, 236, 1004)(164, 932, 239, 1007)(165, 933, 240, 1008)(167, 935, 241, 1009)(168, 936, 245, 1013)(170, 938, 248, 1016)(175, 943, 251, 1019)(176, 944, 255, 1023)(177, 945, 257, 1025)(179, 947, 260, 1028)(180, 948, 261, 1029)(181, 949, 264, 1032)(184, 952, 267, 1035)(185, 953, 269, 1037)(188, 956, 270, 1038)(189, 957, 274, 1042)(190, 958, 275, 1043)(192, 960, 278, 1046)(194, 962, 279, 1047)(195, 963, 282, 1050)(197, 965, 283, 1051)(198, 966, 287, 1055)(202, 970, 289, 1057)(203, 971, 293, 1061)(204, 972, 296, 1064)(206, 974, 290, 1058)(209, 977, 302, 1070)(210, 978, 303, 1071)(212, 980, 306, 1074)(213, 981, 307, 1075)(215, 983, 308, 1076)(216, 984, 312, 1080)(217, 985, 314, 1082)(218, 986, 315, 1083)(219, 987, 318, 1086)(222, 990, 321, 1089)(223, 991, 323, 1091)(227, 995, 325, 1093)(228, 996, 329, 1097)(229, 997, 331, 1099)(231, 999, 288, 1056)(234, 1002, 284, 1052)(235, 1003, 330, 1098)(237, 1005, 335, 1103)(238, 1006, 338, 1106)(242, 1010, 339, 1107)(243, 1011, 343, 1111)(244, 1012, 346, 1114)(246, 1014, 340, 1108)(247, 1015, 349, 1117)(249, 1017, 350, 1118)(250, 1018, 352, 1120)(252, 1020, 324, 1092)(253, 1021, 356, 1124)(254, 1022, 357, 1125)(256, 1024, 360, 1128)(258, 1026, 361, 1129)(259, 1027, 359, 1127)(262, 1030, 362, 1130)(263, 1031, 366, 1134)(265, 1033, 367, 1135)(266, 1034, 371, 1139)(268, 1036, 374, 1142)(271, 1039, 376, 1144)(272, 1040, 377, 1145)(273, 1041, 380, 1148)(276, 1044, 383, 1151)(277, 1045, 313, 1081)(280, 1048, 316, 1084)(281, 1049, 387, 1155)(285, 1053, 391, 1159)(286, 1054, 394, 1162)(291, 1059, 398, 1166)(292, 1060, 399, 1167)(294, 1062, 402, 1170)(295, 1063, 403, 1171)(297, 1065, 404, 1172)(298, 1066, 408, 1176)(299, 1067, 409, 1177)(300, 1068, 410, 1178)(301, 1069, 412, 1180)(304, 1072, 415, 1183)(305, 1073, 417, 1185)(309, 1077, 419, 1187)(310, 1078, 423, 1191)(311, 1079, 425, 1193)(317, 1085, 424, 1192)(319, 1087, 429, 1197)(320, 1088, 432, 1200)(322, 1090, 434, 1202)(326, 1094, 418, 1186)(327, 1095, 440, 1208)(328, 1096, 441, 1209)(332, 1100, 443, 1211)(333, 1101, 396, 1164)(334, 1102, 390, 1158)(336, 1104, 448, 1216)(337, 1105, 451, 1219)(341, 1109, 454, 1222)(342, 1110, 455, 1223)(344, 1112, 458, 1226)(345, 1113, 459, 1227)(347, 1115, 460, 1228)(348, 1116, 464, 1232)(351, 1119, 465, 1233)(353, 1121, 468, 1236)(354, 1122, 469, 1237)(355, 1123, 471, 1239)(358, 1126, 474, 1242)(363, 1131, 478, 1246)(364, 1132, 475, 1243)(365, 1133, 477, 1245)(368, 1136, 462, 1230)(369, 1137, 484, 1252)(370, 1138, 487, 1255)(372, 1140, 463, 1231)(373, 1141, 490, 1258)(375, 1143, 457, 1225)(378, 1146, 466, 1234)(379, 1147, 494, 1262)(381, 1149, 495, 1263)(382, 1150, 499, 1267)(384, 1152, 427, 1195)(385, 1153, 503, 1271)(386, 1154, 428, 1196)(388, 1156, 506, 1274)(389, 1157, 508, 1276)(392, 1160, 511, 1279)(393, 1161, 512, 1280)(395, 1163, 513, 1281)(397, 1165, 518, 1286)(400, 1168, 521, 1289)(401, 1169, 523, 1291)(405, 1173, 525, 1293)(406, 1174, 529, 1297)(407, 1175, 531, 1299)(411, 1179, 530, 1298)(413, 1181, 533, 1301)(414, 1182, 536, 1304)(416, 1184, 538, 1306)(420, 1188, 524, 1292)(421, 1189, 542, 1310)(422, 1190, 543, 1311)(426, 1194, 545, 1313)(430, 1198, 550, 1318)(431, 1199, 553, 1321)(433, 1201, 555, 1323)(435, 1203, 556, 1324)(436, 1204, 558, 1326)(437, 1205, 559, 1327)(438, 1206, 560, 1328)(439, 1207, 562, 1330)(442, 1210, 565, 1333)(444, 1212, 567, 1335)(445, 1213, 569, 1337)(446, 1214, 572, 1340)(447, 1215, 574, 1342)(449, 1217, 576, 1344)(450, 1218, 577, 1345)(452, 1220, 578, 1346)(453, 1221, 534, 1302)(456, 1224, 583, 1351)(461, 1229, 585, 1353)(467, 1235, 591, 1359)(470, 1238, 593, 1361)(472, 1240, 519, 1287)(473, 1241, 596, 1364)(476, 1244, 600, 1368)(479, 1247, 603, 1371)(480, 1248, 604, 1372)(481, 1249, 607, 1375)(482, 1250, 549, 1317)(483, 1251, 587, 1355)(485, 1253, 610, 1378)(486, 1254, 611, 1379)(488, 1256, 612, 1380)(489, 1257, 588, 1356)(491, 1259, 615, 1383)(492, 1260, 584, 1352)(493, 1261, 590, 1358)(496, 1264, 613, 1381)(497, 1265, 573, 1341)(498, 1266, 595, 1363)(500, 1268, 614, 1382)(501, 1269, 625, 1393)(502, 1270, 609, 1377)(504, 1272, 616, 1384)(505, 1273, 628, 1396)(507, 1275, 631, 1399)(509, 1277, 633, 1401)(510, 1278, 635, 1403)(514, 1282, 637, 1405)(515, 1283, 641, 1409)(516, 1284, 643, 1411)(517, 1285, 642, 1410)(520, 1288, 645, 1413)(522, 1290, 647, 1415)(526, 1294, 636, 1404)(527, 1295, 651, 1419)(528, 1296, 652, 1420)(532, 1300, 654, 1422)(535, 1303, 658, 1426)(537, 1305, 660, 1428)(539, 1307, 662, 1430)(540, 1308, 663, 1431)(541, 1309, 665, 1433)(544, 1312, 667, 1435)(546, 1314, 669, 1437)(547, 1315, 671, 1439)(548, 1316, 674, 1442)(551, 1319, 676, 1444)(552, 1320, 677, 1445)(554, 1322, 678, 1446)(557, 1325, 681, 1449)(561, 1329, 683, 1451)(563, 1331, 632, 1400)(564, 1332, 685, 1453)(566, 1334, 688, 1456)(568, 1336, 690, 1458)(570, 1338, 692, 1460)(571, 1339, 693, 1461)(575, 1343, 696, 1464)(579, 1347, 698, 1466)(580, 1348, 656, 1424)(581, 1349, 687, 1455)(582, 1350, 702, 1470)(586, 1354, 697, 1465)(589, 1357, 706, 1474)(592, 1360, 707, 1475)(594, 1362, 680, 1448)(597, 1365, 668, 1436)(598, 1366, 639, 1407)(599, 1367, 675, 1443)(601, 1369, 682, 1450)(602, 1370, 711, 1479)(605, 1373, 714, 1482)(606, 1374, 715, 1483)(608, 1376, 710, 1478)(617, 1385, 700, 1468)(618, 1386, 650, 1418)(619, 1387, 703, 1471)(620, 1388, 718, 1486)(621, 1389, 630, 1398)(622, 1390, 709, 1477)(623, 1391, 708, 1476)(624, 1392, 705, 1473)(626, 1394, 666, 1434)(627, 1395, 701, 1469)(629, 1397, 638, 1406)(634, 1402, 723, 1491)(640, 1408, 724, 1492)(644, 1412, 726, 1494)(646, 1414, 728, 1496)(648, 1416, 730, 1498)(649, 1417, 731, 1499)(653, 1421, 733, 1501)(655, 1423, 735, 1503)(657, 1425, 736, 1504)(659, 1427, 737, 1505)(661, 1429, 739, 1507)(664, 1432, 740, 1508)(670, 1438, 744, 1512)(672, 1440, 746, 1514)(673, 1441, 747, 1515)(679, 1447, 749, 1517)(684, 1452, 738, 1506)(686, 1454, 734, 1502)(689, 1457, 751, 1519)(691, 1459, 742, 1510)(694, 1462, 754, 1522)(695, 1463, 756, 1524)(699, 1467, 753, 1521)(704, 1472, 759, 1527)(712, 1480, 743, 1511)(713, 1481, 760, 1528)(716, 1484, 750, 1518)(717, 1485, 748, 1516)(719, 1487, 757, 1525)(720, 1488, 755, 1523)(721, 1489, 758, 1526)(722, 1490, 761, 1529)(725, 1493, 762, 1530)(727, 1495, 763, 1531)(729, 1497, 765, 1533)(732, 1500, 766, 1534)(741, 1509, 764, 1532)(745, 1513, 767, 1535)(752, 1520, 768, 1536)
	L = (1, 770)(2, 773)(3, 775)(4, 769)(5, 779)(6, 781)(7, 783)(8, 771)(9, 786)(10, 772)(11, 789)(12, 791)(13, 793)(14, 774)(15, 795)(16, 777)(17, 776)(18, 800)(19, 802)(20, 778)(21, 788)(22, 805)(23, 807)(24, 780)(25, 809)(26, 782)(27, 813)(28, 815)(29, 784)(30, 818)(31, 785)(32, 820)(33, 787)(34, 823)(35, 825)(36, 826)(37, 828)(38, 790)(39, 830)(40, 792)(41, 834)(42, 798)(43, 837)(44, 794)(45, 799)(46, 840)(47, 842)(48, 796)(49, 797)(50, 846)(51, 848)(52, 845)(53, 850)(54, 801)(55, 853)(56, 803)(57, 856)(58, 857)(59, 804)(60, 859)(61, 806)(62, 863)(63, 811)(64, 866)(65, 808)(66, 812)(67, 869)(68, 810)(69, 872)(70, 874)(71, 875)(72, 877)(73, 814)(74, 879)(75, 816)(76, 883)(77, 817)(78, 885)(79, 819)(80, 888)(81, 889)(82, 891)(83, 821)(84, 822)(85, 894)(86, 896)(87, 824)(88, 899)(89, 901)(90, 827)(91, 905)(92, 832)(93, 908)(94, 829)(95, 833)(96, 911)(97, 831)(98, 914)(99, 916)(100, 917)(101, 919)(102, 835)(103, 836)(104, 923)(105, 838)(106, 926)(107, 927)(108, 839)(109, 929)(110, 841)(111, 933)(112, 844)(113, 936)(114, 843)(115, 938)(116, 940)(117, 922)(118, 942)(119, 847)(120, 945)(121, 947)(122, 849)(123, 949)(124, 851)(125, 953)(126, 852)(127, 955)(128, 957)(129, 854)(130, 855)(131, 960)(132, 903)(133, 963)(134, 861)(135, 966)(136, 858)(137, 862)(138, 969)(139, 860)(140, 972)(141, 974)(142, 975)(143, 977)(144, 864)(145, 865)(146, 981)(147, 867)(148, 984)(149, 985)(150, 868)(151, 987)(152, 870)(153, 991)(154, 871)(155, 980)(156, 994)(157, 873)(158, 997)(159, 999)(160, 876)(161, 1003)(162, 881)(163, 1006)(164, 878)(165, 882)(166, 1009)(167, 880)(168, 1012)(169, 1014)(170, 1015)(171, 884)(172, 1018)(173, 1019)(174, 1021)(175, 886)(176, 887)(177, 1024)(178, 1001)(179, 1027)(180, 890)(181, 1031)(182, 893)(183, 1034)(184, 892)(185, 1036)(186, 1038)(187, 1039)(188, 895)(189, 1041)(190, 897)(191, 1045)(192, 898)(193, 1047)(194, 900)(195, 904)(196, 1051)(197, 902)(198, 1054)(199, 1056)(200, 1057)(201, 1059)(202, 906)(203, 907)(204, 1063)(205, 909)(206, 1066)(207, 1067)(208, 910)(209, 1069)(210, 912)(211, 1073)(212, 913)(213, 1062)(214, 1076)(215, 915)(216, 1079)(217, 1081)(218, 918)(219, 1085)(220, 921)(221, 1088)(222, 920)(223, 1090)(224, 1092)(225, 1093)(226, 1095)(227, 924)(228, 925)(229, 1098)(230, 1083)(231, 1050)(232, 931)(233, 1102)(234, 928)(235, 932)(236, 1103)(237, 930)(238, 1105)(239, 1099)(240, 1107)(241, 1109)(242, 934)(243, 935)(244, 1113)(245, 937)(246, 1116)(247, 1112)(248, 1118)(249, 939)(250, 1058)(251, 1121)(252, 941)(253, 1123)(254, 943)(255, 1127)(256, 944)(257, 1129)(258, 946)(259, 1128)(260, 951)(261, 1133)(262, 948)(263, 952)(264, 1135)(265, 950)(266, 1138)(267, 1140)(268, 1141)(269, 954)(270, 1068)(271, 1143)(272, 956)(273, 1147)(274, 959)(275, 1150)(276, 958)(277, 1152)(278, 1084)(279, 1153)(280, 961)(281, 962)(282, 1002)(283, 1157)(284, 964)(285, 965)(286, 1161)(287, 967)(288, 1164)(289, 1017)(290, 968)(291, 1165)(292, 970)(293, 1169)(294, 971)(295, 1160)(296, 1172)(297, 973)(298, 1175)(299, 1037)(300, 976)(301, 1179)(302, 979)(303, 1182)(304, 978)(305, 1184)(306, 1186)(307, 1187)(308, 1189)(309, 982)(310, 983)(311, 1192)(312, 1178)(313, 1046)(314, 989)(315, 1196)(316, 986)(317, 990)(318, 1197)(319, 988)(320, 1199)(321, 1193)(322, 1201)(323, 992)(324, 1204)(325, 1205)(326, 993)(327, 1207)(328, 995)(329, 1004)(330, 996)(331, 1211)(332, 998)(333, 1000)(334, 1214)(335, 1215)(336, 1005)(337, 1218)(338, 1007)(339, 1203)(340, 1008)(341, 1221)(342, 1010)(343, 1225)(344, 1011)(345, 1217)(346, 1228)(347, 1013)(348, 1231)(349, 1233)(350, 1167)(351, 1016)(352, 1029)(353, 1185)(354, 1020)(355, 1238)(356, 1023)(357, 1241)(358, 1022)(359, 1243)(360, 1030)(361, 1244)(362, 1025)(363, 1026)(364, 1028)(365, 1249)(366, 1230)(367, 1250)(368, 1032)(369, 1033)(370, 1254)(371, 1035)(372, 1257)(373, 1253)(374, 1177)(375, 1226)(376, 1043)(377, 1261)(378, 1040)(379, 1044)(380, 1263)(381, 1042)(382, 1266)(383, 1268)(384, 1269)(385, 1270)(386, 1048)(387, 1273)(388, 1049)(389, 1275)(390, 1052)(391, 1278)(392, 1053)(393, 1156)(394, 1281)(395, 1055)(396, 1284)(397, 1285)(398, 1061)(399, 1288)(400, 1060)(401, 1290)(402, 1292)(403, 1293)(404, 1295)(405, 1064)(406, 1065)(407, 1298)(408, 1120)(409, 1071)(410, 1145)(411, 1072)(412, 1301)(413, 1070)(414, 1303)(415, 1299)(416, 1305)(417, 1074)(418, 1122)(419, 1307)(420, 1075)(421, 1309)(422, 1077)(423, 1086)(424, 1078)(425, 1313)(426, 1080)(427, 1082)(428, 1316)(429, 1317)(430, 1087)(431, 1320)(432, 1089)(433, 1319)(434, 1324)(435, 1091)(436, 1108)(437, 1291)(438, 1094)(439, 1329)(440, 1097)(441, 1332)(442, 1096)(443, 1334)(444, 1100)(445, 1101)(446, 1339)(447, 1341)(448, 1343)(449, 1104)(450, 1338)(451, 1346)(452, 1106)(453, 1349)(454, 1111)(455, 1350)(456, 1110)(457, 1352)(458, 1146)(459, 1353)(460, 1355)(461, 1114)(462, 1115)(463, 1134)(464, 1326)(465, 1357)(466, 1117)(467, 1119)(468, 1125)(469, 1328)(470, 1126)(471, 1287)(472, 1124)(473, 1363)(474, 1365)(475, 1366)(476, 1367)(477, 1130)(478, 1370)(479, 1131)(480, 1132)(481, 1374)(482, 1318)(483, 1136)(484, 1377)(485, 1137)(486, 1373)(487, 1380)(488, 1139)(489, 1382)(490, 1383)(491, 1142)(492, 1144)(493, 1387)(494, 1381)(495, 1342)(496, 1148)(497, 1149)(498, 1390)(499, 1151)(500, 1392)(501, 1389)(502, 1378)(503, 1155)(504, 1154)(505, 1395)(506, 1397)(507, 1398)(508, 1159)(509, 1158)(510, 1402)(511, 1404)(512, 1405)(513, 1407)(514, 1162)(515, 1163)(516, 1410)(517, 1168)(518, 1240)(519, 1166)(520, 1412)(521, 1411)(522, 1414)(523, 1170)(524, 1206)(525, 1416)(526, 1171)(527, 1418)(528, 1173)(529, 1180)(530, 1174)(531, 1422)(532, 1176)(533, 1222)(534, 1181)(535, 1425)(536, 1183)(537, 1424)(538, 1236)(539, 1403)(540, 1188)(541, 1432)(542, 1191)(543, 1229)(544, 1190)(545, 1436)(546, 1194)(547, 1195)(548, 1441)(549, 1252)(550, 1443)(551, 1198)(552, 1440)(553, 1446)(554, 1200)(555, 1449)(556, 1223)(557, 1202)(558, 1237)(559, 1209)(560, 1431)(561, 1210)(562, 1400)(563, 1208)(564, 1255)(565, 1454)(566, 1455)(567, 1457)(568, 1212)(569, 1459)(570, 1213)(571, 1247)(572, 1401)(573, 1399)(574, 1216)(575, 1463)(576, 1465)(577, 1466)(578, 1428)(579, 1219)(580, 1220)(581, 1224)(582, 1469)(583, 1456)(584, 1419)(585, 1435)(586, 1227)(587, 1472)(588, 1232)(589, 1464)(590, 1234)(591, 1447)(592, 1235)(593, 1448)(594, 1239)(595, 1476)(596, 1242)(597, 1437)(598, 1409)(599, 1444)(600, 1246)(601, 1245)(602, 1426)(603, 1480)(604, 1481)(605, 1248)(606, 1423)(607, 1450)(608, 1251)(609, 1434)(610, 1272)(611, 1453)(612, 1486)(613, 1256)(614, 1262)(615, 1487)(616, 1258)(617, 1259)(618, 1260)(619, 1438)(620, 1264)(621, 1265)(622, 1488)(623, 1267)(624, 1406)(625, 1439)(626, 1271)(627, 1489)(628, 1274)(629, 1417)(630, 1277)(631, 1331)(632, 1276)(633, 1393)(634, 1490)(635, 1279)(636, 1308)(637, 1391)(638, 1280)(639, 1372)(640, 1282)(641, 1286)(642, 1283)(643, 1337)(644, 1360)(645, 1289)(646, 1362)(647, 1327)(648, 1396)(649, 1294)(650, 1500)(651, 1297)(652, 1325)(653, 1296)(654, 1502)(655, 1300)(656, 1302)(657, 1385)(658, 1505)(659, 1304)(660, 1507)(661, 1306)(662, 1311)(663, 1499)(664, 1312)(665, 1394)(666, 1310)(667, 1510)(668, 1361)(669, 1511)(670, 1314)(671, 1513)(672, 1315)(673, 1336)(674, 1384)(675, 1376)(676, 1369)(677, 1517)(678, 1496)(679, 1321)(680, 1322)(681, 1501)(682, 1323)(683, 1506)(684, 1330)(685, 1333)(686, 1503)(687, 1348)(688, 1335)(689, 1494)(690, 1520)(691, 1508)(692, 1521)(693, 1522)(694, 1340)(695, 1388)(696, 1344)(697, 1358)(698, 1504)(699, 1345)(700, 1347)(701, 1498)(702, 1351)(703, 1354)(704, 1491)(705, 1356)(706, 1359)(707, 1519)(708, 1492)(709, 1364)(710, 1368)(711, 1371)(712, 1512)(713, 1493)(714, 1516)(715, 1518)(716, 1375)(717, 1379)(718, 1497)(719, 1528)(720, 1386)(721, 1509)(722, 1452)(723, 1430)(724, 1429)(725, 1408)(726, 1531)(727, 1413)(728, 1533)(729, 1415)(730, 1420)(731, 1473)(732, 1421)(733, 1535)(734, 1451)(735, 1536)(736, 1479)(737, 1529)(738, 1427)(739, 1530)(740, 1532)(741, 1433)(742, 1460)(743, 1461)(744, 1467)(745, 1534)(746, 1484)(747, 1485)(748, 1442)(749, 1475)(750, 1445)(751, 1458)(752, 1483)(753, 1471)(754, 1477)(755, 1462)(756, 1474)(757, 1468)(758, 1470)(759, 1478)(760, 1482)(761, 1527)(762, 1525)(763, 1526)(764, 1495)(765, 1524)(766, 1523)(767, 1514)(768, 1515)
	local type(s) :: { ( 3, 8, 3, 8 ) }
Outer automorphisms :: reflexible
Dual of E17.2373
Transitivity :: ET+ VT+ AT
Graph:: simple
	v = 384 e = 768 f = 352
	degree seq :: [ 4^384 ]

E17.2378 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, Y2^3, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y3 * Y2^-1)^8, (Y1 * Y2 * Y1 * Y2^-1 * Y1 * Y2^-1)^4, (Y1 * Y2 * Y1 * Y2^-1)^6, (Y1 * Y2^-1 * Y1 * Y2 * Y1 * Y2 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 769, 2, 770)(3, 771, 7, 775)(4, 772, 8, 776)(5, 773, 9, 777)(6, 774, 10, 778)(11, 779, 19, 787)(12, 780, 20, 788)(13, 781, 21, 789)(14, 782, 22, 790)(15, 783, 23, 791)(16, 784, 24, 792)(17, 785, 25, 793)(18, 786, 26, 794)(27, 795, 43, 811)(28, 796, 44, 812)(29, 797, 45, 813)(30, 798, 46, 814)(31, 799, 47, 815)(32, 800, 48, 816)(33, 801, 49, 817)(34, 802, 50, 818)(35, 803, 51, 819)(36, 804, 52, 820)(37, 805, 53, 821)(38, 806, 54, 822)(39, 807, 55, 823)(40, 808, 56, 824)(41, 809, 57, 825)(42, 810, 58, 826)(59, 827, 90, 858)(60, 828, 91, 859)(61, 829, 92, 860)(62, 830, 93, 861)(63, 831, 94, 862)(64, 832, 95, 863)(65, 833, 96, 864)(66, 834, 97, 865)(67, 835, 98, 866)(68, 836, 99, 867)(69, 837, 100, 868)(70, 838, 101, 869)(71, 839, 102, 870)(72, 840, 103, 871)(73, 841, 104, 872)(74, 842, 75, 843)(76, 844, 105, 873)(77, 845, 106, 874)(78, 846, 107, 875)(79, 847, 108, 876)(80, 848, 109, 877)(81, 849, 110, 878)(82, 850, 111, 879)(83, 851, 112, 880)(84, 852, 113, 881)(85, 853, 114, 882)(86, 854, 115, 883)(87, 855, 116, 884)(88, 856, 117, 885)(89, 857, 118, 886)(119, 887, 169, 937)(120, 888, 170, 938)(121, 889, 171, 939)(122, 890, 172, 940)(123, 891, 173, 941)(124, 892, 174, 942)(125, 893, 175, 943)(126, 894, 176, 944)(127, 895, 177, 945)(128, 896, 178, 946)(129, 897, 179, 947)(130, 898, 180, 948)(131, 899, 181, 949)(132, 900, 182, 950)(133, 901, 183, 951)(134, 902, 184, 952)(135, 903, 185, 953)(136, 904, 186, 954)(137, 905, 187, 955)(138, 906, 188, 956)(139, 907, 189, 957)(140, 908, 190, 958)(141, 909, 191, 959)(142, 910, 192, 960)(143, 911, 193, 961)(144, 912, 194, 962)(145, 913, 195, 963)(146, 914, 196, 964)(147, 915, 197, 965)(148, 916, 198, 966)(149, 917, 199, 967)(150, 918, 200, 968)(151, 919, 201, 969)(152, 920, 202, 970)(153, 921, 203, 971)(154, 922, 204, 972)(155, 923, 205, 973)(156, 924, 206, 974)(157, 925, 207, 975)(158, 926, 208, 976)(159, 927, 209, 977)(160, 928, 210, 978)(161, 929, 211, 979)(162, 930, 212, 980)(163, 931, 213, 981)(164, 932, 214, 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1406)(473, 1241, 497, 1265)(475, 1243, 716, 1484)(477, 1245, 709, 1477)(478, 1246, 717, 1485)(481, 1249, 718, 1486)(484, 1252, 722, 1490)(486, 1254, 514, 1282)(490, 1258, 727, 1495)(492, 1260, 728, 1496)(494, 1262, 729, 1497)(496, 1264, 730, 1498)(498, 1266, 731, 1499)(499, 1267, 517, 1285)(501, 1269, 732, 1500)(503, 1271, 733, 1501)(505, 1273, 734, 1502)(506, 1274, 532, 1300)(508, 1276, 736, 1504)(509, 1277, 538, 1306)(511, 1279, 738, 1506)(512, 1280, 545, 1313)(513, 1281, 705, 1473)(515, 1283, 739, 1507)(518, 1286, 710, 1478)(520, 1288, 740, 1508)(523, 1291, 741, 1509)(524, 1292, 742, 1510)(527, 1295, 570, 1338)(528, 1296, 720, 1488)(530, 1298, 743, 1511)(533, 1301, 724, 1492)(534, 1302, 578, 1346)(535, 1303, 656, 1424)(539, 1307, 659, 1427)(540, 1308, 588, 1356)(541, 1309, 744, 1512)(543, 1311, 745, 1513)(546, 1314, 735, 1503)(547, 1315, 595, 1363)(549, 1317, 635, 1403)(550, 1318, 601, 1369)(552, 1320, 599, 1367)(555, 1323, 632, 1400)(556, 1324, 686, 1454)(559, 1327, 582, 1350)(562, 1330, 708, 1476)(563, 1331, 670, 1438)(566, 1334, 748, 1516)(568, 1336, 749, 1517)(571, 1339, 737, 1505)(573, 1341, 608, 1376)(576, 1344, 747, 1515)(579, 1347, 683, 1451)(586, 1354, 752, 1520)(587, 1355, 706, 1474)(589, 1357, 704, 1472)(591, 1359, 617, 1385)(593, 1361, 711, 1479)(596, 1364, 668, 1436)(598, 1366, 755, 1523)(602, 1370, 648, 1416)(604, 1372, 723, 1491)(609, 1377, 699, 1467)(612, 1380, 662, 1430)(613, 1381, 756, 1524)(620, 1388, 641, 1409)(621, 1389, 721, 1489)(622, 1390, 719, 1487)(625, 1393, 725, 1493)(628, 1396, 684, 1452)(631, 1399, 760, 1528)(633, 1401, 761, 1529)(634, 1402, 657, 1425)(636, 1404, 655, 1423)(639, 1407, 660, 1428)(643, 1411, 764, 1532)(644, 1412, 765, 1533)(645, 1413, 714, 1482)(649, 1417, 701, 1469)(653, 1421, 715, 1483)(663, 1431, 767, 1535)(665, 1433, 697, 1465)(673, 1441, 768, 1536)(676, 1444, 757, 1525)(677, 1445, 753, 1521)(678, 1446, 700, 1468)(679, 1447, 689, 1457)(680, 1448, 766, 1534)(687, 1455, 695, 1463)(688, 1456, 762, 1530)(690, 1458, 750, 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2600, 1851, 2619, 2085, 2853)(1833, 2601, 2086, 2854, 1938, 2706)(1834, 2602, 2022, 2790, 2007, 2775)(1835, 2603, 2088, 2856, 2016, 2784)(1836, 2604, 2090, 2858, 2014, 2782)(1838, 2606, 1922, 2690, 2092, 2860)(1839, 2607, 2094, 2862, 1917, 2685)(1840, 2608, 2095, 2863, 2096, 2864)(1841, 2609, 2093, 2861, 2098, 2866)(1842, 2610, 1900, 2668, 2099, 2867)(1843, 2611, 2100, 2868, 1895, 2663)(1844, 2612, 2101, 2869, 1856, 2624)(1845, 2613, 1998, 2766, 2102, 2870)(1846, 2614, 2103, 2871, 2104, 2872)(1847, 2615, 2106, 2874, 2107, 2875)(1849, 2617, 2109, 2877, 1880, 2648)(1850, 2618, 1923, 2691, 1911, 2679)(1853, 2621, 2111, 2879, 2112, 2880)(1854, 2622, 2114, 2882, 2115, 2883)(1855, 2623, 2116, 2884, 2005, 2773)(1857, 2625, 2118, 2886, 1930, 2698)(1858, 2626, 1996, 2764, 1979, 2747)(1859, 2627, 2120, 2888, 1870, 2638)(1860, 2628, 2121, 2889, 2122, 2890)(1861, 2629, 2110, 2878, 2123, 2891)(1862, 2630, 2124, 2892, 2125, 2893)(1864, 2632, 2127, 2895, 1874, 2642)(1865, 2633, 1901, 2669, 1890, 2658)(1867, 2635, 2128, 2896, 2129, 2897)(1868, 2636, 2131, 2899, 2132, 2900)(1869, 2637, 2133, 2901, 2134, 2902)(1871, 2639, 2135, 2903, 1948, 2716)(1872, 2640, 2137, 2905, 2138, 2906)(1873, 2641, 2061, 2829, 2140, 2908)(1875, 2643, 2142, 2910, 1906, 2674)(1876, 2644, 2144, 2912, 2145, 2913)(1877, 2645, 2089, 2857, 1960, 2728)(1878, 2646, 1889, 2657, 2148, 2916)(1879, 2647, 2057, 2825, 2149, 2917)(1881, 2649, 2151, 2919, 1928, 2696)(1882, 2650, 2153, 2921, 2026, 2794)(1883, 2651, 2097, 2865, 1937, 2705)(1885, 2653, 1910, 2678, 2156, 2924)(1886, 2654, 2119, 2887, 2157, 2925)(1887, 2655, 1966, 2734, 2158, 2926)(1892, 2660, 2160, 2928, 2161, 2929)(1893, 2661, 2163, 2931, 2164, 2932)(1894, 2662, 2166, 2934, 2167, 2935)(1896, 2664, 2168, 2936, 2169, 2937)(1897, 2665, 2087, 2855, 2170, 2938)(1898, 2666, 2171, 2939, 2172, 2940)(1903, 2671, 2174, 2942, 2175, 2943)(1904, 2672, 1952, 2720, 2177, 2945)(1905, 2673, 2152, 2920, 2179, 2947)(1907, 2675, 2136, 2904, 2180, 2948)(1908, 2676, 1939, 2707, 2181, 2949)(1914, 2682, 2184, 2952, 2185, 2953)(1915, 2683, 2008, 2776, 2006, 2774)(1916, 2684, 1985, 2753, 2013, 2781)(1918, 2686, 2004, 2772, 2189, 2957)(1919, 2687, 2073, 2841, 2191, 2959)(1920, 2688, 2192, 2960, 2193, 2961)(1925, 2693, 2195, 2963, 2196, 2964)(1926, 2694, 1932, 2700, 2198, 2966)(1927, 2695, 2143, 2911, 2199, 2967)(1929, 2697, 1942, 2710, 2146, 2914)(1931, 2699, 2201, 2969, 2003, 2771)(1933, 2701, 2165, 2933, 2019, 2787)(1936, 2704, 1977, 2745, 2204, 2972)(1940, 2708, 2206, 2974, 2001, 2769)(1943, 2711, 1983, 2751, 2002, 2770)(1944, 2712, 1971, 2739, 2154, 2922)(1951, 2719, 2213, 2981, 2105, 2873)(1954, 2722, 2187, 2955, 2215, 2983)(1959, 2727, 2036, 2804, 2219, 2987)(1967, 2735, 2222, 2990, 2223, 2991)(1972, 2740, 2228, 2996, 2202, 2970)(1974, 2742, 2230, 2998, 2025, 2793)(1975, 2743, 2231, 2999, 2015, 2783)(1978, 2746, 2012, 2780, 1980, 2748)(1984, 2752, 2235, 3003, 2236, 3004)(1986, 2754, 2141, 2909, 2010, 2778)(1990, 2758, 2052, 2820, 2240, 3008)(1991, 2759, 2241, 3009, 2242, 3010)(1995, 2763, 2244, 3012, 1997, 2765)(1999, 2767, 2246, 3014, 2247, 3015)(2017, 2785, 2067, 2835, 2255, 3023)(2018, 2786, 2256, 3024, 2257, 3025)(2021, 2789, 2259, 3027, 2023, 2791)(2024, 2792, 2260, 3028, 2261, 3029)(2043, 2811, 2271, 3039, 2237, 3005)(2046, 2814, 2273, 3041, 2214, 2982)(2080, 2848, 2250, 3018, 2224, 2992)(2084, 2852, 2274, 3042, 2283, 3051)(2108, 2876, 2268, 3036, 2281, 3049)(2113, 2881, 2233, 3001, 2287, 3055)(2117, 2885, 2272, 3040, 2285, 3053)(2126, 2894, 2267, 3035, 2279, 3047)(2130, 2898, 2289, 3057, 2290, 3058)(2150, 2918, 2232, 3000, 2293, 3061)(2155, 2923, 2282, 3050, 2294, 3062)(2159, 2927, 2264, 3032, 2221, 2989)(2162, 2930, 2295, 3063, 2227, 2995)(2173, 2941, 2266, 3034, 2275, 3043)(2176, 2944, 2298, 3066, 2299, 3067)(2182, 2950, 2265, 3033, 2205, 2973)(2183, 2951, 2263, 3031, 2239, 3007)(2186, 2954, 2262, 3030, 2207, 2975)(2188, 2956, 2280, 3048, 2301, 3069)(2190, 2958, 2252, 3020, 2248, 3016)(2194, 2962, 2258, 3026, 2243, 3011)(2197, 2965, 2254, 3022, 2234, 3002)(2200, 2968, 2249, 3017, 2269, 3037)(2203, 2971, 2286, 3054, 2292, 3060)(2208, 2976, 2210, 2978, 2304, 3072)(2211, 2979, 2291, 3059, 2270, 3038)(2217, 2985, 2302, 3070, 2253, 3021)(2238, 3006, 2284, 3052, 2303, 3071)(2245, 3013, 2278, 3046, 2251, 3019)(2276, 3044, 2297, 3065, 2296, 3064)(2277, 3045, 2288, 3056, 2300, 3068)
	L = (1, 1538)(2, 1537)(3, 1543)(4, 1544)(5, 1545)(6, 1546)(7, 1539)(8, 1540)(9, 1541)(10, 1542)(11, 1555)(12, 1556)(13, 1557)(14, 1558)(15, 1559)(16, 1560)(17, 1561)(18, 1562)(19, 1547)(20, 1548)(21, 1549)(22, 1550)(23, 1551)(24, 1552)(25, 1553)(26, 1554)(27, 1579)(28, 1580)(29, 1581)(30, 1582)(31, 1583)(32, 1584)(33, 1585)(34, 1586)(35, 1587)(36, 1588)(37, 1589)(38, 1590)(39, 1591)(40, 1592)(41, 1593)(42, 1594)(43, 1563)(44, 1564)(45, 1565)(46, 1566)(47, 1567)(48, 1568)(49, 1569)(50, 1570)(51, 1571)(52, 1572)(53, 1573)(54, 1574)(55, 1575)(56, 1576)(57, 1577)(58, 1578)(59, 1626)(60, 1627)(61, 1628)(62, 1629)(63, 1630)(64, 1631)(65, 1632)(66, 1633)(67, 1634)(68, 1635)(69, 1636)(70, 1637)(71, 1638)(72, 1639)(73, 1640)(74, 1611)(75, 1610)(76, 1641)(77, 1642)(78, 1643)(79, 1644)(80, 1645)(81, 1646)(82, 1647)(83, 1648)(84, 1649)(85, 1650)(86, 1651)(87, 1652)(88, 1653)(89, 1654)(90, 1595)(91, 1596)(92, 1597)(93, 1598)(94, 1599)(95, 1600)(96, 1601)(97, 1602)(98, 1603)(99, 1604)(100, 1605)(101, 1606)(102, 1607)(103, 1608)(104, 1609)(105, 1612)(106, 1613)(107, 1614)(108, 1615)(109, 1616)(110, 1617)(111, 1618)(112, 1619)(113, 1620)(114, 1621)(115, 1622)(116, 1623)(117, 1624)(118, 1625)(119, 1705)(120, 1706)(121, 1707)(122, 1708)(123, 1709)(124, 1710)(125, 1711)(126, 1712)(127, 1713)(128, 1714)(129, 1715)(130, 1716)(131, 1717)(132, 1718)(133, 1719)(134, 1720)(135, 1721)(136, 1722)(137, 1723)(138, 1724)(139, 1725)(140, 1726)(141, 1727)(142, 1728)(143, 1729)(144, 1730)(145, 1731)(146, 1732)(147, 1733)(148, 1734)(149, 1735)(150, 1736)(151, 1737)(152, 1738)(153, 1739)(154, 1740)(155, 1741)(156, 1742)(157, 1743)(158, 1744)(159, 1745)(160, 1746)(161, 1747)(162, 1748)(163, 1749)(164, 1750)(165, 1751)(166, 1752)(167, 1753)(168, 1754)(169, 1655)(170, 1656)(171, 1657)(172, 1658)(173, 1659)(174, 1660)(175, 1661)(176, 1662)(177, 1663)(178, 1664)(179, 1665)(180, 1666)(181, 1667)(182, 1668)(183, 1669)(184, 1670)(185, 1671)(186, 1672)(187, 1673)(188, 1674)(189, 1675)(190, 1676)(191, 1677)(192, 1678)(193, 1679)(194, 1680)(195, 1681)(196, 1682)(197, 1683)(198, 1684)(199, 1685)(200, 1686)(201, 1687)(202, 1688)(203, 1689)(204, 1690)(205, 1691)(206, 1692)(207, 1693)(208, 1694)(209, 1695)(210, 1696)(211, 1697)(212, 1698)(213, 1699)(214, 1700)(215, 1701)(216, 1702)(217, 1703)(218, 1704)(219, 1974)(220, 1975)(221, 1805)(222, 1978)(223, 1980)(224, 1982)(225, 1933)(226, 1907)(227, 1924)(228, 1986)(229, 1929)(230, 1989)(231, 1885)(232, 1855)(233, 1992)(234, 1835)(235, 1995)(236, 1997)(237, 1914)(238, 1838)(239, 2000)(240, 2002)(241, 1879)(242, 1970)(243, 2004)(244, 1800)(245, 2006)(246, 2008)(247, 2010)(248, 1941)(249, 1927)(250, 1998)(251, 1953)(252, 1937)(253, 2016)(254, 1936)(255, 1831)(256, 2019)(257, 1837)(258, 2021)(259, 2023)(260, 1984)(261, 1817)(262, 2025)(263, 1961)(264, 1780)(265, 1910)(266, 1977)(267, 1889)(268, 2036)(269, 1757)(270, 1945)(271, 1900)(272, 2043)(273, 1864)(274, 2046)(275, 1922)(276, 2024)(277, 1849)(278, 2052)(279, 1973)(280, 2057)(281, 1797)(282, 2061)(283, 1994)(284, 1925)(285, 1857)(286, 2067)(287, 1969)(288, 1999)(289, 1833)(290, 2073)(291, 2055)(292, 1903)(293, 1871)(294, 2080)(295, 1791)(296, 2084)(297, 1825)(298, 2087)(299, 1770)(300, 2089)(301, 1793)(302, 1774)(303, 2093)(304, 1956)(305, 2097)(306, 1958)(307, 2090)(308, 2058)(309, 1867)(310, 1896)(311, 2105)(312, 2108)(313, 1813)(314, 2110)(315, 2040)(316, 1892)(317, 1860)(318, 2113)(319, 1768)(320, 2117)(321, 1821)(322, 2119)(323, 2062)(324, 1853)(325, 1918)(326, 2003)(327, 2126)(328, 1809)(329, 2103)(330, 2038)(331, 1845)(332, 2130)(333, 1955)(334, 1991)(335, 1829)(336, 2136)(337, 2139)(338, 2141)(339, 2094)(340, 2143)(341, 2146)(342, 2147)(343, 1777)(344, 2150)(345, 2100)(346, 2152)(347, 2154)(348, 2155)(349, 1767)(350, 1988)(351, 1908)(352, 2159)(353, 1803)(354, 2111)(355, 2029)(356, 1852)(357, 2162)(358, 2165)(359, 2018)(360, 1846)(361, 2015)(362, 1928)(363, 2173)(364, 1807)(365, 2078)(366, 1949)(367, 1828)(368, 2176)(369, 2178)(370, 1920)(371, 1762)(372, 1887)(373, 2182)(374, 1801)(375, 2128)(376, 2027)(377, 2183)(378, 1773)(379, 2186)(380, 2187)(381, 2188)(382, 1861)(383, 2190)(384, 1906)(385, 2194)(386, 1811)(387, 2065)(388, 1763)(389, 1820)(390, 2197)(391, 1785)(392, 1898)(393, 1765)(394, 2200)(395, 2142)(396, 2133)(397, 1761)(398, 2202)(399, 2203)(400, 1790)(401, 1788)(402, 2205)(403, 2120)(404, 2166)(405, 1784)(406, 2207)(407, 2208)(408, 1950)(409, 1806)(410, 2210)(411, 1954)(412, 2211)(413, 1902)(414, 1944)(415, 2151)(416, 2116)(417, 1787)(418, 1947)(419, 1869)(420, 1840)(421, 2217)(422, 1842)(423, 2218)(424, 1965)(425, 1799)(426, 2163)(427, 2221)(428, 2121)(429, 1960)(430, 2101)(431, 1985)(432, 2096)(433, 1823)(434, 1778)(435, 2227)(436, 2012)(437, 1815)(438, 1755)(439, 1756)(440, 2232)(441, 1802)(442, 1758)(443, 2160)(444, 1759)(445, 2031)(446, 1760)(447, 2234)(448, 1796)(449, 1967)(450, 1764)(451, 2238)(452, 1886)(453, 1766)(454, 2239)(455, 1870)(456, 1769)(457, 2243)(458, 1819)(459, 1771)(460, 2072)(461, 1772)(462, 1786)(463, 1824)(464, 1775)(465, 2248)(466, 1776)(467, 1862)(468, 1779)(469, 2249)(470, 1781)(471, 2174)(472, 1782)(473, 2033)(474, 1783)(475, 2252)(476, 1972)(477, 2245)(478, 2253)(479, 1897)(480, 1789)(481, 2254)(482, 1895)(483, 1792)(484, 2258)(485, 1794)(486, 2050)(487, 1795)(488, 1812)(489, 1798)(490, 2263)(491, 1912)(492, 2264)(493, 1891)(494, 2265)(495, 1981)(496, 2266)(497, 2009)(498, 2267)(499, 2053)(500, 1804)(501, 2268)(502, 1866)(503, 2269)(504, 1851)(505, 2270)(506, 2068)(507, 1808)(508, 2272)(509, 2074)(510, 1810)(511, 2274)(512, 2081)(513, 2241)(514, 2022)(515, 2275)(516, 1814)(517, 2035)(518, 2246)(519, 1827)(520, 2276)(521, 1816)(522, 1844)(523, 2277)(524, 2278)(525, 1818)(526, 1859)(527, 2106)(528, 2256)(529, 1923)(530, 2279)(531, 1822)(532, 2042)(533, 2260)(534, 2114)(535, 2192)(536, 1996)(537, 1826)(538, 2045)(539, 2195)(540, 2124)(541, 2280)(542, 1901)(543, 2281)(544, 1830)(545, 2048)(546, 2271)(547, 2131)(548, 1832)(549, 2171)(550, 2137)(551, 1834)(552, 2135)(553, 1836)(554, 1843)(555, 2168)(556, 2222)(557, 1839)(558, 1875)(559, 2118)(560, 1968)(561, 1841)(562, 2244)(563, 2206)(564, 1881)(565, 1966)(566, 2284)(567, 1865)(568, 2285)(569, 1847)(570, 2063)(571, 2273)(572, 1848)(573, 2144)(574, 1850)(575, 1890)(576, 2283)(577, 1854)(578, 2070)(579, 2219)(580, 1952)(581, 1856)(582, 2095)(583, 1858)(584, 1939)(585, 1964)(586, 2288)(587, 2242)(588, 2076)(589, 2240)(590, 1863)(591, 2153)(592, 1911)(593, 2247)(594, 1868)(595, 2083)(596, 2204)(597, 1932)(598, 2291)(599, 2088)(600, 1872)(601, 2086)(602, 2184)(603, 1873)(604, 2259)(605, 1874)(606, 1931)(607, 1876)(608, 2109)(609, 2235)(610, 1877)(611, 1878)(612, 2198)(613, 2292)(614, 1880)(615, 1951)(616, 1882)(617, 2127)(618, 1883)(619, 1884)(620, 2177)(621, 2257)(622, 2255)(623, 1888)(624, 1979)(625, 2261)(626, 1893)(627, 1962)(628, 2220)(629, 1894)(630, 1940)(631, 2296)(632, 2091)(633, 2297)(634, 2193)(635, 2085)(636, 2191)(637, 1899)(638, 2007)(639, 2196)(640, 1904)(641, 2156)(642, 1905)(643, 2300)(644, 2301)(645, 2250)(646, 1909)(647, 1913)(648, 2138)(649, 2237)(650, 1915)(651, 1916)(652, 1917)(653, 2251)(654, 1919)(655, 2172)(656, 2071)(657, 2170)(658, 1921)(659, 2075)(660, 2175)(661, 1926)(662, 2148)(663, 2303)(664, 1930)(665, 2233)(666, 1934)(667, 1935)(668, 2132)(669, 1938)(670, 2099)(671, 1942)(672, 1943)(673, 2304)(674, 1946)(675, 1948)(676, 2293)(677, 2289)(678, 2236)(679, 2225)(680, 2302)(681, 1957)(682, 1959)(683, 2115)(684, 2164)(685, 1963)(686, 2092)(687, 2231)(688, 2298)(689, 2215)(690, 2286)(691, 1971)(692, 2299)(693, 2294)(694, 2282)(695, 2223)(696, 1976)(697, 2201)(698, 1983)(699, 2145)(700, 2214)(701, 2185)(702, 1987)(703, 1990)(704, 2125)(705, 2049)(706, 2123)(707, 1993)(708, 2098)(709, 2013)(710, 2054)(711, 2129)(712, 2001)(713, 2005)(714, 2181)(715, 2189)(716, 2011)(717, 2014)(718, 2017)(719, 2158)(720, 2064)(721, 2157)(722, 2020)(723, 2140)(724, 2069)(725, 2161)(726, 2290)(727, 2026)(728, 2028)(729, 2030)(730, 2032)(731, 2034)(732, 2037)(733, 2039)(734, 2041)(735, 2082)(736, 2044)(737, 2107)(738, 2047)(739, 2051)(740, 2056)(741, 2059)(742, 2060)(743, 2066)(744, 2077)(745, 2079)(746, 2230)(747, 2112)(748, 2102)(749, 2104)(750, 2226)(751, 2295)(752, 2122)(753, 2213)(754, 2262)(755, 2134)(756, 2149)(757, 2212)(758, 2229)(759, 2287)(760, 2167)(761, 2169)(762, 2224)(763, 2228)(764, 2179)(765, 2180)(766, 2216)(767, 2199)(768, 2209)(769, 2305)(770, 2306)(771, 2307)(772, 2308)(773, 2309)(774, 2310)(775, 2311)(776, 2312)(777, 2313)(778, 2314)(779, 2315)(780, 2316)(781, 2317)(782, 2318)(783, 2319)(784, 2320)(785, 2321)(786, 2322)(787, 2323)(788, 2324)(789, 2325)(790, 2326)(791, 2327)(792, 2328)(793, 2329)(794, 2330)(795, 2331)(796, 2332)(797, 2333)(798, 2334)(799, 2335)(800, 2336)(801, 2337)(802, 2338)(803, 2339)(804, 2340)(805, 2341)(806, 2342)(807, 2343)(808, 2344)(809, 2345)(810, 2346)(811, 2347)(812, 2348)(813, 2349)(814, 2350)(815, 2351)(816, 2352)(817, 2353)(818, 2354)(819, 2355)(820, 2356)(821, 2357)(822, 2358)(823, 2359)(824, 2360)(825, 2361)(826, 2362)(827, 2363)(828, 2364)(829, 2365)(830, 2366)(831, 2367)(832, 2368)(833, 2369)(834, 2370)(835, 2371)(836, 2372)(837, 2373)(838, 2374)(839, 2375)(840, 2376)(841, 2377)(842, 2378)(843, 2379)(844, 2380)(845, 2381)(846, 2382)(847, 2383)(848, 2384)(849, 2385)(850, 2386)(851, 2387)(852, 2388)(853, 2389)(854, 2390)(855, 2391)(856, 2392)(857, 2393)(858, 2394)(859, 2395)(860, 2396)(861, 2397)(862, 2398)(863, 2399)(864, 2400)(865, 2401)(866, 2402)(867, 2403)(868, 2404)(869, 2405)(870, 2406)(871, 2407)(872, 2408)(873, 2409)(874, 2410)(875, 2411)(876, 2412)(877, 2413)(878, 2414)(879, 2415)(880, 2416)(881, 2417)(882, 2418)(883, 2419)(884, 2420)(885, 2421)(886, 2422)(887, 2423)(888, 2424)(889, 2425)(890, 2426)(891, 2427)(892, 2428)(893, 2429)(894, 2430)(895, 2431)(896, 2432)(897, 2433)(898, 2434)(899, 2435)(900, 2436)(901, 2437)(902, 2438)(903, 2439)(904, 2440)(905, 2441)(906, 2442)(907, 2443)(908, 2444)(909, 2445)(910, 2446)(911, 2447)(912, 2448)(913, 2449)(914, 2450)(915, 2451)(916, 2452)(917, 2453)(918, 2454)(919, 2455)(920, 2456)(921, 2457)(922, 2458)(923, 2459)(924, 2460)(925, 2461)(926, 2462)(927, 2463)(928, 2464)(929, 2465)(930, 2466)(931, 2467)(932, 2468)(933, 2469)(934, 2470)(935, 2471)(936, 2472)(937, 2473)(938, 2474)(939, 2475)(940, 2476)(941, 2477)(942, 2478)(943, 2479)(944, 2480)(945, 2481)(946, 2482)(947, 2483)(948, 2484)(949, 2485)(950, 2486)(951, 2487)(952, 2488)(953, 2489)(954, 2490)(955, 2491)(956, 2492)(957, 2493)(958, 2494)(959, 2495)(960, 2496)(961, 2497)(962, 2498)(963, 2499)(964, 2500)(965, 2501)(966, 2502)(967, 2503)(968, 2504)(969, 2505)(970, 2506)(971, 2507)(972, 2508)(973, 2509)(974, 2510)(975, 2511)(976, 2512)(977, 2513)(978, 2514)(979, 2515)(980, 2516)(981, 2517)(982, 2518)(983, 2519)(984, 2520)(985, 2521)(986, 2522)(987, 2523)(988, 2524)(989, 2525)(990, 2526)(991, 2527)(992, 2528)(993, 2529)(994, 2530)(995, 2531)(996, 2532)(997, 2533)(998, 2534)(999, 2535)(1000, 2536)(1001, 2537)(1002, 2538)(1003, 2539)(1004, 2540)(1005, 2541)(1006, 2542)(1007, 2543)(1008, 2544)(1009, 2545)(1010, 2546)(1011, 2547)(1012, 2548)(1013, 2549)(1014, 2550)(1015, 2551)(1016, 2552)(1017, 2553)(1018, 2554)(1019, 2555)(1020, 2556)(1021, 2557)(1022, 2558)(1023, 2559)(1024, 2560)(1025, 2561)(1026, 2562)(1027, 2563)(1028, 2564)(1029, 2565)(1030, 2566)(1031, 2567)(1032, 2568)(1033, 2569)(1034, 2570)(1035, 2571)(1036, 2572)(1037, 2573)(1038, 2574)(1039, 2575)(1040, 2576)(1041, 2577)(1042, 2578)(1043, 2579)(1044, 2580)(1045, 2581)(1046, 2582)(1047, 2583)(1048, 2584)(1049, 2585)(1050, 2586)(1051, 2587)(1052, 2588)(1053, 2589)(1054, 2590)(1055, 2591)(1056, 2592)(1057, 2593)(1058, 2594)(1059, 2595)(1060, 2596)(1061, 2597)(1062, 2598)(1063, 2599)(1064, 2600)(1065, 2601)(1066, 2602)(1067, 2603)(1068, 2604)(1069, 2605)(1070, 2606)(1071, 2607)(1072, 2608)(1073, 2609)(1074, 2610)(1075, 2611)(1076, 2612)(1077, 2613)(1078, 2614)(1079, 2615)(1080, 2616)(1081, 2617)(1082, 2618)(1083, 2619)(1084, 2620)(1085, 2621)(1086, 2622)(1087, 2623)(1088, 2624)(1089, 2625)(1090, 2626)(1091, 2627)(1092, 2628)(1093, 2629)(1094, 2630)(1095, 2631)(1096, 2632)(1097, 2633)(1098, 2634)(1099, 2635)(1100, 2636)(1101, 2637)(1102, 2638)(1103, 2639)(1104, 2640)(1105, 2641)(1106, 2642)(1107, 2643)(1108, 2644)(1109, 2645)(1110, 2646)(1111, 2647)(1112, 2648)(1113, 2649)(1114, 2650)(1115, 2651)(1116, 2652)(1117, 2653)(1118, 2654)(1119, 2655)(1120, 2656)(1121, 2657)(1122, 2658)(1123, 2659)(1124, 2660)(1125, 2661)(1126, 2662)(1127, 2663)(1128, 2664)(1129, 2665)(1130, 2666)(1131, 2667)(1132, 2668)(1133, 2669)(1134, 2670)(1135, 2671)(1136, 2672)(1137, 2673)(1138, 2674)(1139, 2675)(1140, 2676)(1141, 2677)(1142, 2678)(1143, 2679)(1144, 2680)(1145, 2681)(1146, 2682)(1147, 2683)(1148, 2684)(1149, 2685)(1150, 2686)(1151, 2687)(1152, 2688)(1153, 2689)(1154, 2690)(1155, 2691)(1156, 2692)(1157, 2693)(1158, 2694)(1159, 2695)(1160, 2696)(1161, 2697)(1162, 2698)(1163, 2699)(1164, 2700)(1165, 2701)(1166, 2702)(1167, 2703)(1168, 2704)(1169, 2705)(1170, 2706)(1171, 2707)(1172, 2708)(1173, 2709)(1174, 2710)(1175, 2711)(1176, 2712)(1177, 2713)(1178, 2714)(1179, 2715)(1180, 2716)(1181, 2717)(1182, 2718)(1183, 2719)(1184, 2720)(1185, 2721)(1186, 2722)(1187, 2723)(1188, 2724)(1189, 2725)(1190, 2726)(1191, 2727)(1192, 2728)(1193, 2729)(1194, 2730)(1195, 2731)(1196, 2732)(1197, 2733)(1198, 2734)(1199, 2735)(1200, 2736)(1201, 2737)(1202, 2738)(1203, 2739)(1204, 2740)(1205, 2741)(1206, 2742)(1207, 2743)(1208, 2744)(1209, 2745)(1210, 2746)(1211, 2747)(1212, 2748)(1213, 2749)(1214, 2750)(1215, 2751)(1216, 2752)(1217, 2753)(1218, 2754)(1219, 2755)(1220, 2756)(1221, 2757)(1222, 2758)(1223, 2759)(1224, 2760)(1225, 2761)(1226, 2762)(1227, 2763)(1228, 2764)(1229, 2765)(1230, 2766)(1231, 2767)(1232, 2768)(1233, 2769)(1234, 2770)(1235, 2771)(1236, 2772)(1237, 2773)(1238, 2774)(1239, 2775)(1240, 2776)(1241, 2777)(1242, 2778)(1243, 2779)(1244, 2780)(1245, 2781)(1246, 2782)(1247, 2783)(1248, 2784)(1249, 2785)(1250, 2786)(1251, 2787)(1252, 2788)(1253, 2789)(1254, 2790)(1255, 2791)(1256, 2792)(1257, 2793)(1258, 2794)(1259, 2795)(1260, 2796)(1261, 2797)(1262, 2798)(1263, 2799)(1264, 2800)(1265, 2801)(1266, 2802)(1267, 2803)(1268, 2804)(1269, 2805)(1270, 2806)(1271, 2807)(1272, 2808)(1273, 2809)(1274, 2810)(1275, 2811)(1276, 2812)(1277, 2813)(1278, 2814)(1279, 2815)(1280, 2816)(1281, 2817)(1282, 2818)(1283, 2819)(1284, 2820)(1285, 2821)(1286, 2822)(1287, 2823)(1288, 2824)(1289, 2825)(1290, 2826)(1291, 2827)(1292, 2828)(1293, 2829)(1294, 2830)(1295, 2831)(1296, 2832)(1297, 2833)(1298, 2834)(1299, 2835)(1300, 2836)(1301, 2837)(1302, 2838)(1303, 2839)(1304, 2840)(1305, 2841)(1306, 2842)(1307, 2843)(1308, 2844)(1309, 2845)(1310, 2846)(1311, 2847)(1312, 2848)(1313, 2849)(1314, 2850)(1315, 2851)(1316, 2852)(1317, 2853)(1318, 2854)(1319, 2855)(1320, 2856)(1321, 2857)(1322, 2858)(1323, 2859)(1324, 2860)(1325, 2861)(1326, 2862)(1327, 2863)(1328, 2864)(1329, 2865)(1330, 2866)(1331, 2867)(1332, 2868)(1333, 2869)(1334, 2870)(1335, 2871)(1336, 2872)(1337, 2873)(1338, 2874)(1339, 2875)(1340, 2876)(1341, 2877)(1342, 2878)(1343, 2879)(1344, 2880)(1345, 2881)(1346, 2882)(1347, 2883)(1348, 2884)(1349, 2885)(1350, 2886)(1351, 2887)(1352, 2888)(1353, 2889)(1354, 2890)(1355, 2891)(1356, 2892)(1357, 2893)(1358, 2894)(1359, 2895)(1360, 2896)(1361, 2897)(1362, 2898)(1363, 2899)(1364, 2900)(1365, 2901)(1366, 2902)(1367, 2903)(1368, 2904)(1369, 2905)(1370, 2906)(1371, 2907)(1372, 2908)(1373, 2909)(1374, 2910)(1375, 2911)(1376, 2912)(1377, 2913)(1378, 2914)(1379, 2915)(1380, 2916)(1381, 2917)(1382, 2918)(1383, 2919)(1384, 2920)(1385, 2921)(1386, 2922)(1387, 2923)(1388, 2924)(1389, 2925)(1390, 2926)(1391, 2927)(1392, 2928)(1393, 2929)(1394, 2930)(1395, 2931)(1396, 2932)(1397, 2933)(1398, 2934)(1399, 2935)(1400, 2936)(1401, 2937)(1402, 2938)(1403, 2939)(1404, 2940)(1405, 2941)(1406, 2942)(1407, 2943)(1408, 2944)(1409, 2945)(1410, 2946)(1411, 2947)(1412, 2948)(1413, 2949)(1414, 2950)(1415, 2951)(1416, 2952)(1417, 2953)(1418, 2954)(1419, 2955)(1420, 2956)(1421, 2957)(1422, 2958)(1423, 2959)(1424, 2960)(1425, 2961)(1426, 2962)(1427, 2963)(1428, 2964)(1429, 2965)(1430, 2966)(1431, 2967)(1432, 2968)(1433, 2969)(1434, 2970)(1435, 2971)(1436, 2972)(1437, 2973)(1438, 2974)(1439, 2975)(1440, 2976)(1441, 2977)(1442, 2978)(1443, 2979)(1444, 2980)(1445, 2981)(1446, 2982)(1447, 2983)(1448, 2984)(1449, 2985)(1450, 2986)(1451, 2987)(1452, 2988)(1453, 2989)(1454, 2990)(1455, 2991)(1456, 2992)(1457, 2993)(1458, 2994)(1459, 2995)(1460, 2996)(1461, 2997)(1462, 2998)(1463, 2999)(1464, 3000)(1465, 3001)(1466, 3002)(1467, 3003)(1468, 3004)(1469, 3005)(1470, 3006)(1471, 3007)(1472, 3008)(1473, 3009)(1474, 3010)(1475, 3011)(1476, 3012)(1477, 3013)(1478, 3014)(1479, 3015)(1480, 3016)(1481, 3017)(1482, 3018)(1483, 3019)(1484, 3020)(1485, 3021)(1486, 3022)(1487, 3023)(1488, 3024)(1489, 3025)(1490, 3026)(1491, 3027)(1492, 3028)(1493, 3029)(1494, 3030)(1495, 3031)(1496, 3032)(1497, 3033)(1498, 3034)(1499, 3035)(1500, 3036)(1501, 3037)(1502, 3038)(1503, 3039)(1504, 3040)(1505, 3041)(1506, 3042)(1507, 3043)(1508, 3044)(1509, 3045)(1510, 3046)(1511, 3047)(1512, 3048)(1513, 3049)(1514, 3050)(1515, 3051)(1516, 3052)(1517, 3053)(1518, 3054)(1519, 3055)(1520, 3056)(1521, 3057)(1522, 3058)(1523, 3059)(1524, 3060)(1525, 3061)(1526, 3062)(1527, 3063)(1528, 3064)(1529, 3065)(1530, 3066)(1531, 3067)(1532, 3068)(1533, 3069)(1534, 3070)(1535, 3071)(1536, 3072)
	local type(s) :: { ( 2, 16, 2, 16 ), ( 2, 16, 2, 16, 2, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2381
Graph:: bipartite
	v = 640 e = 1536 f = 864
	degree seq :: [ 4^384, 6^256 ]

E17.2379 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ R^2, Y2 * Y3^-1, Y1^3, (Y3^-1 * Y1^-1)^2, (R * Y1)^2, (Y2 * Y1)^2, (R * Y3)^2, Y2^8, (Y2^3 * Y1^-1)^4, Y2 * Y1^-1 * Y2^-3 * Y1 * Y2^-2 * Y1 * Y2^2 * Y1 * Y2^-2 * Y1 * Y2^-2 * Y1, (Y2^-1 * Y1 * Y2^-1)^6, Y2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-2 * Y1 * Y2^2 * Y1^-1 * Y2^-3 * Y1^-1 * Y2 * Y1^-1 * Y2^-3 * Y1^-1 ]
Map::
	R = (1, 769, 2, 770, 4, 772)(3, 771, 8, 776, 10, 778)(5, 773, 12, 780, 6, 774)(7, 775, 15, 783, 11, 779)(9, 777, 18, 786, 20, 788)(13, 781, 25, 793, 23, 791)(14, 782, 24, 792, 28, 796)(16, 784, 31, 799, 29, 797)(17, 785, 33, 801, 21, 789)(19, 787, 36, 804, 38, 806)(22, 790, 30, 798, 42, 810)(26, 794, 47, 815, 45, 813)(27, 795, 48, 816, 50, 818)(32, 800, 56, 824, 54, 822)(34, 802, 59, 827, 57, 825)(35, 803, 61, 829, 39, 807)(37, 805, 64, 832, 65, 833)(40, 808, 58, 826, 69, 837)(41, 809, 70, 838, 71, 839)(43, 811, 46, 814, 74, 842)(44, 812, 75, 843, 51, 819)(49, 817, 81, 849, 82, 850)(52, 820, 55, 823, 86, 854)(53, 821, 87, 855, 72, 840)(60, 828, 96, 864, 94, 862)(62, 830, 99, 867, 97, 865)(63, 831, 101, 869, 66, 834)(67, 835, 98, 866, 107, 875)(68, 836, 108, 876, 109, 877)(73, 841, 114, 882, 116, 884)(76, 844, 120, 888, 118, 886)(77, 845, 79, 847, 122, 890)(78, 846, 123, 891, 117, 885)(80, 848, 126, 894, 83, 851)(84, 852, 119, 887, 132, 900)(85, 853, 133, 901, 135, 903)(88, 856, 139, 907, 137, 905)(89, 857, 91, 859, 141, 909)(90, 858, 142, 910, 136, 904)(92, 860, 95, 863, 146, 914)(93, 861, 147, 915, 110, 878)(100, 868, 156, 924, 154, 922)(102, 870, 159, 927, 157, 925)(103, 871, 161, 929, 104, 872)(105, 873, 158, 926, 165, 933)(106, 874, 166, 934, 167, 935)(111, 879, 172, 940, 112, 880)(113, 881, 138, 906, 176, 944)(115, 883, 178, 946, 179, 947)(121, 889, 185, 953, 187, 955)(124, 892, 191, 959, 189, 957)(125, 893, 192, 960, 188, 956)(127, 895, 196, 964, 194, 962)(128, 896, 198, 966, 129, 897)(130, 898, 195, 963, 202, 970)(131, 899, 203, 971, 204, 972)(134, 902, 207, 975, 208, 976)(140, 908, 214, 982, 216, 984)(143, 911, 220, 988, 218, 986)(144, 912, 221, 989, 217, 985)(145, 913, 223, 991, 225, 993)(148, 916, 229, 997, 227, 995)(149, 917, 151, 919, 231, 999)(150, 918, 232, 1000, 226, 994)(152, 920, 155, 923, 236, 1004)(153, 921, 237, 1005, 168, 936)(160, 928, 246, 1014, 244, 1012)(162, 930, 249, 1017, 247, 1015)(163, 931, 248, 1016, 252, 1020)(164, 932, 253, 1021, 222, 990)(169, 937, 258, 1026, 170, 938)(171, 939, 228, 996, 262, 1030)(173, 941, 265, 1033, 263, 1031)(174, 942, 264, 1032, 268, 1036)(175, 943, 269, 1037, 270, 1038)(177, 945, 272, 1040, 180, 948)(181, 949, 190, 958, 278, 1046)(182, 950, 184, 952, 280, 1048)(183, 951, 281, 1049, 205, 973)(186, 954, 284, 1052, 285, 1053)(193, 961, 267, 1035, 290, 1058)(197, 965, 296, 1064, 294, 1062)(199, 967, 299, 1067, 297, 1065)(200, 968, 298, 1066, 302, 1070)(201, 969, 303, 1071, 233, 1001)(206, 974, 308, 1076, 209, 977)(210, 978, 219, 987, 314, 1082)(211, 979, 213, 981, 316, 1084)(212, 980, 317, 1085, 271, 1039)(215, 983, 320, 1088, 321, 1089)(224, 992, 328, 1096, 329, 1097)(230, 998, 334, 1102, 336, 1104)(234, 1002, 339, 1107, 337, 1105)(235, 1003, 341, 1109, 343, 1111)(238, 1006, 347, 1115, 345, 1113)(239, 1007, 241, 1009, 349, 1117)(240, 1008, 350, 1118, 344, 1112)(242, 1010, 245, 1013, 353, 1121)(243, 1011, 354, 1122, 254, 1022)(250, 1018, 301, 1069, 361, 1129)(251, 1019, 363, 1131, 340, 1108)(255, 1023, 366, 1134, 256, 1024)(257, 1025, 346, 1114, 325, 1093)(259, 1027, 371, 1139, 369, 1137)(260, 1028, 370, 1138, 288, 1056)(261, 1029, 373, 1141, 374, 1142)(266, 1034, 380, 1148, 378, 1146)(273, 1041, 385, 1153, 383, 1151)(274, 1042, 387, 1155, 275, 1043)(276, 1044, 384, 1152, 324, 1092)(277, 1045, 389, 1157, 390, 1158)(279, 1047, 392, 1160, 394, 1162)(282, 1050, 396, 1164, 395, 1163)(283, 1051, 397, 1165, 286, 1054)(287, 1055, 291, 1059, 402, 1170)(289, 1057, 382, 1150, 391, 1159)(292, 1060, 295, 1063, 407, 1175)(293, 1061, 408, 1176, 304, 1072)(300, 1068, 335, 1103, 415, 1183)(305, 1073, 419, 1187, 306, 1074)(307, 1075, 375, 1143, 333, 1101)(309, 1077, 424, 1192, 422, 1190)(310, 1078, 426, 1194, 311, 1079)(312, 1080, 423, 1191, 332, 1100)(313, 1081, 428, 1196, 429, 1197)(315, 1083, 430, 1198, 432, 1200)(318, 1086, 434, 1202, 433, 1201)(319, 1087, 435, 1203, 322, 1090)(323, 1091, 326, 1094, 440, 1208)(327, 1095, 444, 1212, 330, 1098)(331, 1099, 338, 1106, 449, 1217)(342, 1110, 458, 1226, 459, 1227)(348, 1116, 463, 1231, 464, 1232)(351, 1119, 399, 1167, 465, 1233)(352, 1120, 467, 1235, 469, 1237)(355, 1123, 473, 1241, 471, 1239)(356, 1124, 358, 1126, 475, 1243)(357, 1125, 476, 1244, 470, 1238)(359, 1127, 362, 1130, 478, 1246)(360, 1128, 479, 1247, 364, 1132)(365, 1133, 472, 1240, 455, 1223)(367, 1135, 485, 1253, 484, 1252)(368, 1136, 442, 1210, 487, 1255)(372, 1140, 492, 1260, 490, 1258)(376, 1144, 379, 1147, 494, 1262)(377, 1145, 495, 1263, 381, 1149)(386, 1154, 504, 1272, 502, 1270)(388, 1156, 437, 1205, 505, 1273)(393, 1161, 508, 1276, 509, 1277)(398, 1166, 514, 1282, 512, 1280)(400, 1168, 513, 1281, 511, 1279)(401, 1169, 517, 1285, 518, 1286)(403, 1171, 489, 1257, 521, 1289)(404, 1172, 522, 1290, 499, 1267)(405, 1173, 418, 1186, 519, 1287)(406, 1174, 524, 1292, 526, 1294)(409, 1177, 529, 1297, 528, 1296)(410, 1178, 412, 1180, 531, 1299)(411, 1179, 506, 1274, 527, 1295)(413, 1181, 416, 1184, 533, 1301)(414, 1182, 534, 1302, 417, 1185)(420, 1188, 540, 1308, 539, 1307)(421, 1189, 451, 1219, 542, 1310)(425, 1193, 547, 1315, 545, 1313)(427, 1195, 446, 1214, 548, 1316)(431, 1199, 551, 1319, 552, 1320)(436, 1204, 557, 1325, 555, 1323)(438, 1206, 556, 1324, 554, 1322)(439, 1207, 560, 1328, 561, 1329)(441, 1209, 501, 1269, 564, 1332)(443, 1211, 498, 1266, 562, 1330)(445, 1213, 567, 1335, 565, 1333)(447, 1215, 566, 1334, 462, 1230)(448, 1216, 570, 1338, 571, 1339)(450, 1218, 544, 1312, 573, 1341)(452, 1220, 574, 1342, 453, 1221)(454, 1222, 456, 1224, 578, 1346)(457, 1225, 580, 1348, 460, 1228)(461, 1229, 466, 1234, 585, 1353)(468, 1236, 592, 1360, 593, 1361)(474, 1242, 597, 1365, 598, 1366)(477, 1245, 600, 1368, 602, 1370)(480, 1248, 606, 1374, 604, 1372)(481, 1249, 563, 1331, 603, 1371)(482, 1250, 605, 1373, 590, 1358)(483, 1251, 538, 1306, 523, 1291)(486, 1254, 537, 1305, 608, 1376)(488, 1256, 491, 1259, 611, 1379)(493, 1261, 614, 1382, 616, 1384)(496, 1264, 619, 1387, 618, 1386)(497, 1265, 549, 1317, 617, 1385)(500, 1268, 503, 1271, 621, 1389)(507, 1275, 627, 1395, 510, 1278)(515, 1283, 635, 1403, 633, 1401)(516, 1284, 629, 1397, 589, 1357)(520, 1288, 637, 1405, 579, 1347)(525, 1293, 640, 1408, 641, 1409)(530, 1298, 645, 1413, 623, 1391)(532, 1300, 646, 1414, 648, 1416)(535, 1303, 651, 1419, 650, 1418)(536, 1304, 572, 1340, 649, 1417)(541, 1309, 576, 1344, 653, 1421)(543, 1311, 546, 1314, 656, 1424)(550, 1318, 661, 1429, 553, 1321)(558, 1326, 669, 1437, 667, 1435)(559, 1327, 663, 1431, 625, 1393)(568, 1336, 676, 1444, 674, 1442)(569, 1337, 582, 1350, 660, 1428)(575, 1343, 680, 1448, 679, 1447)(577, 1345, 682, 1450, 683, 1451)(581, 1349, 642, 1410, 639, 1407)(583, 1351, 684, 1452, 596, 1364)(584, 1352, 687, 1455, 688, 1456)(586, 1354, 673, 1441, 689, 1457)(587, 1355, 658, 1426, 588, 1356)(591, 1359, 662, 1430, 594, 1362)(595, 1363, 599, 1367, 632, 1400)(601, 1369, 699, 1467, 700, 1468)(607, 1375, 609, 1377, 704, 1472)(610, 1378, 665, 1433, 668, 1436)(612, 1380, 708, 1476, 638, 1406)(613, 1381, 677, 1445, 707, 1475)(615, 1383, 710, 1478, 711, 1479)(620, 1388, 672, 1440, 675, 1443)(622, 1390, 716, 1484, 671, 1439)(624, 1392, 636, 1404, 715, 1483)(626, 1394, 666, 1434, 643, 1411)(628, 1396, 712, 1480, 709, 1477)(630, 1398, 719, 1487, 644, 1412)(631, 1399, 634, 1402, 655, 1423)(647, 1415, 730, 1498, 731, 1499)(652, 1420, 654, 1422, 735, 1503)(657, 1425, 739, 1507, 678, 1446)(659, 1427, 670, 1438, 738, 1506)(664, 1432, 742, 1510, 713, 1481)(681, 1449, 755, 1523, 753, 1521)(685, 1453, 733, 1501, 726, 1494)(686, 1454, 692, 1460, 741, 1509)(690, 1458, 745, 1513, 740, 1508)(691, 1459, 720, 1488, 725, 1493)(693, 1461, 734, 1502, 702, 1470)(694, 1462, 721, 1489, 746, 1514)(695, 1463, 727, 1495, 744, 1512)(696, 1464, 749, 1517, 697, 1465)(698, 1466, 737, 1505, 701, 1469)(703, 1471, 752, 1520, 754, 1522)(705, 1473, 757, 1525, 736, 1504)(706, 1474, 732, 1500, 729, 1497)(714, 1482, 750, 1518, 756, 1524)(717, 1485, 728, 1496, 722, 1490)(718, 1486, 743, 1511, 763, 1531)(723, 1491, 758, 1526, 748, 1516)(724, 1492, 751, 1519, 747, 1515)(759, 1527, 764, 1532, 766, 1534)(760, 1528, 762, 1530, 765, 1533)(761, 1529, 768, 1536, 767, 1535)(1537, 2305, 1539, 2307, 1545, 2313, 1555, 2323, 1573, 2341, 1562, 2330, 1549, 2317, 1541, 2309)(1538, 2306, 1542, 2310, 1550, 2318, 1563, 2331, 1585, 2353, 1568, 2336, 1552, 2320, 1543, 2311)(1540, 2308, 1547, 2315, 1558, 2326, 1577, 2345, 1596, 2364, 1570, 2338, 1553, 2321, 1544, 2312)(1546, 2314, 1557, 2325, 1576, 2344, 1604, 2372, 1636, 2404, 1598, 2366, 1571, 2339, 1554, 2322)(1548, 2316, 1559, 2327, 1579, 2347, 1609, 2377, 1651, 2419, 1612, 2380, 1580, 2348, 1560, 2328)(1551, 2319, 1565, 2333, 1588, 2356, 1621, 2389, 1670, 2438, 1624, 2392, 1589, 2357, 1566, 2334)(1556, 2324, 1575, 2343, 1603, 2371, 1642, 2410, 1696, 2464, 1638, 2406, 1599, 2367, 1572, 2340)(1561, 2329, 1581, 2349, 1613, 2381, 1657, 2425, 1722, 2490, 1660, 2428, 1614, 2382, 1582, 2350)(1564, 2332, 1587, 2355, 1620, 2388, 1667, 2435, 1733, 2501, 1663, 2431, 1616, 2384, 1584, 2352)(1567, 2335, 1590, 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2644, 1770, 2538, 1687, 2455, 1632, 2400)(1610, 2378, 1653, 2421, 1717, 2485, 1813, 2581, 1922, 2690, 1809, 2577, 1713, 2481, 1650, 2418)(1611, 2379, 1654, 2422, 1718, 2486, 1815, 2583, 1929, 2697, 1818, 2586, 1719, 2487, 1655, 2423)(1622, 2390, 1672, 2440, 1746, 2514, 1849, 2617, 1961, 2729, 1845, 2613, 1742, 2510, 1669, 2437)(1623, 2391, 1673, 2441, 1747, 2515, 1851, 2619, 1967, 2735, 1854, 2622, 1748, 2516, 1674, 2442)(1635, 2403, 1690, 2458, 1775, 2543, 1884, 2652, 1916, 2684, 1806, 2574, 1776, 2544, 1691, 2459)(1637, 2405, 1693, 2461, 1778, 2546, 1888, 2656, 2004, 2772, 1891, 2659, 1779, 2547, 1694, 2462)(1643, 2411, 1704, 2472, 1793, 2561, 1904, 2672, 2022, 2790, 1903, 2671, 1791, 2559, 1702, 2470)(1645, 2413, 1706, 2474, 1796, 2564, 1727, 2495, 1821, 2589, 1887, 2655, 1777, 2545, 1692, 2460)(1652, 2420, 1716, 2484, 1812, 2580, 1756, 2524, 1857, 2625, 1924, 2692, 1810, 2578, 1714, 2482)(1656, 2424, 1715, 2483, 1811, 2579, 1894, 2662, 1782, 2550, 1703, 2471, 1792, 2560, 1720, 2488)(1658, 2426, 1724, 2492, 1823, 2591, 1937, 2705, 2051, 2819, 1934, 2702, 1819, 2587, 1721, 2489)(1659, 2427, 1725, 2493, 1824, 2592, 1939, 2707, 2056, 2824, 1940, 2708, 1825, 2593, 1726, 2494)(1662, 2430, 1730, 2498, 1828, 2596, 1942, 2710, 2061, 2829, 1945, 2713, 1829, 2597, 1731, 2499)(1668, 2436, 1741, 2509, 1843, 2611, 1957, 2725, 2077, 2845, 1956, 2724, 1841, 2609, 1739, 2507)(1671, 2439, 1745, 2513, 1848, 2616, 1765, 2533, 1865, 2633, 1963, 2731, 1846, 2614, 1743, 2511)(1675, 2443, 1744, 2512, 1847, 2615, 1948, 2716, 1832, 2600, 1740, 2508, 1842, 2610, 1749, 2517)(1677, 2445, 1753, 2521, 1859, 2627, 1975, 2743, 2094, 2862, 1972, 2740, 1855, 2623, 1750, 2518)(1678, 2446, 1754, 2522, 1860, 2628, 1977, 2745, 2099, 2867, 1978, 2746, 1861, 2629, 1755, 2523)(1682, 2450, 1762, 2530, 1867, 2635, 1984, 2752, 2104, 2872, 1981, 2749, 1863, 2631, 1759, 2527)(1683, 2451, 1763, 2531, 1868, 2636, 1986, 2754, 2108, 2876, 1987, 2755, 1869, 2637, 1764, 2532)(1695, 2463, 1780, 2548, 1892, 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3021, 2171, 2939, 2054, 2822, 2160, 2928, 2039, 2807)(1923, 2691, 2041, 2809, 2161, 2929, 2254, 3022, 2297, 3065, 2232, 3000, 2133, 2901, 2011, 2779)(1930, 2698, 2046, 2814, 2166, 2934, 2065, 2833, 2177, 2945, 2256, 3024, 2165, 2933, 2044, 2812)(1933, 2701, 2048, 2816, 2167, 2935, 2192, 2960, 2274, 3042, 2257, 3025, 2168, 2936, 2049, 2817)(1938, 2706, 2055, 2823, 1944, 2712, 2064, 2832, 2180, 2948, 2259, 3027, 2172, 2940, 2053, 2821)(1943, 2711, 2063, 2831, 2179, 2947, 2263, 3031, 2220, 2988, 2116, 2884, 2175, 2943, 2060, 2828)(1960, 2728, 2081, 2849, 2194, 2962, 2276, 3044, 2205, 2973, 2097, 2865, 2195, 2963, 2082, 2850)(1962, 2730, 2084, 2852, 2196, 2964, 2277, 3045, 2301, 3069, 2264, 3032, 2181, 2949, 2067, 2835)(1968, 2736, 2089, 2857, 2200, 2968, 2155, 2923, 2247, 3015, 2279, 3047, 2199, 2967, 2087, 2855)(1971, 2739, 2091, 2859, 2201, 2969, 2147, 2915, 2243, 3011, 2280, 3048, 2202, 2970, 2092, 2860)(1976, 2744, 2098, 2866, 2031, 2799, 2154, 2922, 2249, 3017, 2282, 3050, 2206, 2974, 2096, 2864)(1980, 2748, 2101, 2869, 2208, 2976, 2157, 2925, 2251, 3019, 2284, 3052, 2209, 2977, 2102, 2870)(2005, 2773, 2130, 2898, 2229, 2997, 2142, 2910, 2236, 3004, 2296, 3064, 2228, 2996, 2128, 2896)(2014, 2782, 2139, 2907, 2100, 2868, 2207, 2975, 2283, 3051, 2275, 3043, 2234, 3002, 2136, 2904)(2015, 2783, 2140, 2908, 2238, 3006, 2271, 3039, 2293, 3061, 2223, 2991, 2121, 2889, 2141, 2909)(2021, 2789, 2144, 2912, 2070, 2838, 2186, 2954, 2269, 3037, 2224, 2992, 2241, 3009, 2145, 2913)(2030, 2798, 2153, 2921, 2225, 2993, 2294, 3062, 2255, 3023, 2163, 2931, 2245, 3013, 2150, 2918)(2050, 2818, 2169, 2937, 2258, 3026, 2298, 3066, 2235, 3003, 2138, 2906, 2237, 3005, 2170, 2938)(2057, 2825, 2174, 2942, 2260, 3028, 2252, 3020, 2292, 3060, 2218, 2986, 2114, 2882, 2173, 2941)(2062, 2830, 2178, 2946, 2262, 3030, 2187, 2955, 2267, 3035, 2300, 3068, 2261, 3029, 2176, 2944)(2069, 2837, 2185, 2953, 2109, 2877, 2214, 2982, 2287, 3055, 2244, 3012, 2265, 3033, 2182, 2950)(2076, 2844, 2189, 2957, 2110, 2878, 2215, 2983, 2288, 3056, 2240, 3008, 2272, 3040, 2190, 2958)(2093, 2861, 2203, 2971, 2281, 3049, 2302, 3070, 2266, 3034, 2184, 2952, 2268, 3036, 2204, 2972)(2103, 2871, 2210, 2978, 2285, 3053, 2303, 3071, 2291, 3059, 2219, 2987, 2286, 3054, 2211, 2979)(2152, 2920, 2248, 3016, 2290, 3058, 2216, 2984, 2289, 3057, 2304, 3072, 2299, 3067, 2246, 3014)
	L = (1, 1539)(2, 1542)(3, 1545)(4, 1547)(5, 1537)(6, 1550)(7, 1538)(8, 1540)(9, 1555)(10, 1557)(11, 1558)(12, 1559)(13, 1541)(14, 1563)(15, 1565)(16, 1543)(17, 1544)(18, 1546)(19, 1573)(20, 1575)(21, 1576)(22, 1577)(23, 1579)(24, 1548)(25, 1581)(26, 1549)(27, 1585)(28, 1587)(29, 1588)(30, 1551)(31, 1590)(32, 1552)(33, 1593)(34, 1553)(35, 1554)(36, 1556)(37, 1562)(38, 1602)(39, 1603)(40, 1604)(41, 1596)(42, 1608)(43, 1609)(44, 1560)(45, 1613)(46, 1561)(47, 1601)(48, 1564)(49, 1568)(50, 1619)(51, 1620)(52, 1621)(53, 1566)(54, 1625)(55, 1567)(56, 1618)(57, 1628)(58, 1569)(59, 1630)(60, 1570)(61, 1633)(62, 1571)(63, 1572)(64, 1574)(65, 1640)(66, 1641)(67, 1642)(68, 1636)(69, 1646)(70, 1578)(71, 1648)(72, 1649)(73, 1651)(74, 1653)(75, 1654)(76, 1580)(77, 1657)(78, 1582)(79, 1583)(80, 1584)(81, 1586)(82, 1665)(83, 1666)(84, 1667)(85, 1670)(86, 1672)(87, 1673)(88, 1589)(89, 1676)(90, 1591)(91, 1592)(92, 1681)(93, 1594)(94, 1685)(95, 1595)(96, 1607)(97, 1688)(98, 1597)(99, 1690)(100, 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1719)(283, 1721)(284, 1723)(285, 1887)(286, 1936)(287, 1937)(288, 1939)(289, 1726)(290, 1804)(291, 1728)(292, 1942)(293, 1731)(294, 1946)(295, 1732)(296, 1740)(297, 1949)(298, 1734)(299, 1951)(300, 1735)(301, 1758)(302, 1953)(303, 1738)(304, 1954)(305, 1739)(306, 1749)(307, 1957)(308, 1958)(309, 1742)(310, 1743)(311, 1948)(312, 1765)(313, 1961)(314, 1882)(315, 1967)(316, 1955)(317, 1969)(318, 1748)(319, 1750)(320, 1752)(321, 1924)(322, 1974)(323, 1975)(324, 1977)(325, 1755)(326, 1757)(327, 1759)(328, 1761)(329, 1963)(330, 1983)(331, 1984)(332, 1986)(333, 1764)(334, 1767)(335, 1769)(336, 1989)(337, 1990)(338, 1768)(339, 1899)(340, 1770)(341, 1772)(342, 1774)(343, 1996)(344, 1997)(345, 1998)(346, 1773)(347, 1995)(348, 1916)(349, 2001)(350, 1805)(351, 1777)(352, 2004)(353, 2006)(354, 2007)(355, 1779)(356, 2010)(357, 1781)(358, 1782)(359, 2013)(360, 1784)(361, 1838)(362, 1785)(363, 1788)(364, 2018)(365, 2019)(366, 2020)(367, 1791)(368, 2022)(369, 2024)(370, 1794)(371, 2026)(372, 1795)(373, 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2124)(465, 2125)(466, 1886)(467, 1889)(468, 1891)(469, 2130)(470, 2131)(471, 2132)(472, 1890)(473, 2129)(474, 2028)(475, 1923)(476, 1909)(477, 2137)(478, 2139)(479, 2140)(480, 1896)(481, 1898)(482, 2058)(483, 1979)(484, 2143)(485, 2144)(486, 1903)(487, 2017)(488, 2146)(489, 1906)(490, 2134)(491, 1907)(492, 1910)(493, 2151)(494, 2153)(495, 2154)(496, 1913)(497, 1915)(498, 2059)(499, 2126)(500, 2156)(501, 1920)(502, 2159)(503, 1921)(504, 1926)(505, 2161)(506, 1925)(507, 1928)(508, 1930)(509, 2052)(510, 2166)(511, 2135)(512, 2167)(513, 1933)(514, 2169)(515, 1934)(516, 1935)(517, 1938)(518, 2160)(519, 1944)(520, 1940)(521, 2174)(522, 2115)(523, 1941)(524, 1943)(525, 1945)(526, 2178)(527, 2179)(528, 2180)(529, 2177)(530, 2040)(531, 1962)(532, 2183)(533, 2185)(534, 2186)(535, 1950)(536, 1952)(537, 2023)(538, 1991)(539, 2188)(540, 2189)(541, 1956)(542, 2072)(543, 2191)(544, 1959)(545, 2194)(546, 1960)(547, 1965)(548, 2196)(549, 1964)(550, 1966)(551, 1968)(552, 2095)(553, 2200)(554, 2162)(555, 2201)(556, 1971)(557, 2203)(558, 1972)(559, 1973)(560, 1976)(561, 2195)(562, 2031)(563, 1978)(564, 2207)(565, 2208)(566, 1980)(567, 2210)(568, 1981)(569, 1982)(570, 1985)(571, 2149)(572, 1987)(573, 2214)(574, 2215)(575, 1988)(576, 2078)(577, 2217)(578, 2173)(579, 1992)(580, 2175)(581, 1993)(582, 1994)(583, 2009)(584, 2221)(585, 2141)(586, 2085)(587, 1999)(588, 2083)(589, 2227)(590, 2002)(591, 2003)(592, 2005)(593, 2222)(594, 2229)(595, 2230)(596, 2231)(597, 2011)(598, 2233)(599, 2012)(600, 2014)(601, 2016)(602, 2237)(603, 2100)(604, 2238)(605, 2015)(606, 2236)(607, 2239)(608, 2070)(609, 2021)(610, 2242)(611, 2243)(612, 2025)(613, 2027)(614, 2030)(615, 2032)(616, 2248)(617, 2225)(618, 2249)(619, 2247)(620, 2250)(621, 2251)(622, 2037)(623, 2253)(624, 2039)(625, 2254)(626, 2042)(627, 2245)(628, 2043)(629, 2044)(630, 2065)(631, 2192)(632, 2049)(633, 2258)(634, 2050)(635, 2054)(636, 2053)(637, 2057)(638, 2260)(639, 2060)(640, 2062)(641, 2256)(642, 2262)(643, 2263)(644, 2259)(645, 2067)(646, 2069)(647, 2071)(648, 2268)(649, 2109)(650, 2269)(651, 2267)(652, 2270)(653, 2110)(654, 2076)(655, 2273)(656, 2274)(657, 2080)(658, 2276)(659, 2082)(660, 2277)(661, 2127)(662, 2086)(663, 2087)(664, 2155)(665, 2147)(666, 2092)(667, 2281)(668, 2093)(669, 2097)(670, 2096)(671, 2283)(672, 2157)(673, 2102)(674, 2285)(675, 2103)(676, 2107)(677, 2106)(678, 2287)(679, 2288)(680, 2289)(681, 2111)(682, 2114)(683, 2286)(684, 2116)(685, 2117)(686, 2118)(687, 2121)(688, 2241)(689, 2294)(690, 2123)(691, 2295)(692, 2128)(693, 2142)(694, 2278)(695, 2213)(696, 2133)(697, 2212)(698, 2136)(699, 2138)(700, 2296)(701, 2170)(702, 2271)(703, 2164)(704, 2272)(705, 2145)(706, 2148)(707, 2280)(708, 2265)(709, 2150)(710, 2152)(711, 2279)(712, 2290)(713, 2282)(714, 2158)(715, 2284)(716, 2292)(717, 2171)(718, 2297)(719, 2163)(720, 2165)(721, 2168)(722, 2298)(723, 2172)(724, 2252)(725, 2176)(726, 2187)(727, 2220)(728, 2181)(729, 2182)(730, 2184)(731, 2300)(732, 2204)(733, 2224)(734, 2198)(735, 2293)(736, 2190)(737, 2193)(738, 2257)(739, 2234)(740, 2205)(741, 2301)(742, 2197)(743, 2199)(744, 2202)(745, 2302)(746, 2206)(747, 2275)(748, 2209)(749, 2303)(750, 2211)(751, 2244)(752, 2240)(753, 2304)(754, 2216)(755, 2219)(756, 2218)(757, 2223)(758, 2255)(759, 2226)(760, 2228)(761, 2232)(762, 2235)(763, 2246)(764, 2261)(765, 2264)(766, 2266)(767, 2291)(768, 2299)(769, 2305)(770, 2306)(771, 2307)(772, 2308)(773, 2309)(774, 2310)(775, 2311)(776, 2312)(777, 2313)(778, 2314)(779, 2315)(780, 2316)(781, 2317)(782, 2318)(783, 2319)(784, 2320)(785, 2321)(786, 2322)(787, 2323)(788, 2324)(789, 2325)(790, 2326)(791, 2327)(792, 2328)(793, 2329)(794, 2330)(795, 2331)(796, 2332)(797, 2333)(798, 2334)(799, 2335)(800, 2336)(801, 2337)(802, 2338)(803, 2339)(804, 2340)(805, 2341)(806, 2342)(807, 2343)(808, 2344)(809, 2345)(810, 2346)(811, 2347)(812, 2348)(813, 2349)(814, 2350)(815, 2351)(816, 2352)(817, 2353)(818, 2354)(819, 2355)(820, 2356)(821, 2357)(822, 2358)(823, 2359)(824, 2360)(825, 2361)(826, 2362)(827, 2363)(828, 2364)(829, 2365)(830, 2366)(831, 2367)(832, 2368)(833, 2369)(834, 2370)(835, 2371)(836, 2372)(837, 2373)(838, 2374)(839, 2375)(840, 2376)(841, 2377)(842, 2378)(843, 2379)(844, 2380)(845, 2381)(846, 2382)(847, 2383)(848, 2384)(849, 2385)(850, 2386)(851, 2387)(852, 2388)(853, 2389)(854, 2390)(855, 2391)(856, 2392)(857, 2393)(858, 2394)(859, 2395)(860, 2396)(861, 2397)(862, 2398)(863, 2399)(864, 2400)(865, 2401)(866, 2402)(867, 2403)(868, 2404)(869, 2405)(870, 2406)(871, 2407)(872, 2408)(873, 2409)(874, 2410)(875, 2411)(876, 2412)(877, 2413)(878, 2414)(879, 2415)(880, 2416)(881, 2417)(882, 2418)(883, 2419)(884, 2420)(885, 2421)(886, 2422)(887, 2423)(888, 2424)(889, 2425)(890, 2426)(891, 2427)(892, 2428)(893, 2429)(894, 2430)(895, 2431)(896, 2432)(897, 2433)(898, 2434)(899, 2435)(900, 2436)(901, 2437)(902, 2438)(903, 2439)(904, 2440)(905, 2441)(906, 2442)(907, 2443)(908, 2444)(909, 2445)(910, 2446)(911, 2447)(912, 2448)(913, 2449)(914, 2450)(915, 2451)(916, 2452)(917, 2453)(918, 2454)(919, 2455)(920, 2456)(921, 2457)(922, 2458)(923, 2459)(924, 2460)(925, 2461)(926, 2462)(927, 2463)(928, 2464)(929, 2465)(930, 2466)(931, 2467)(932, 2468)(933, 2469)(934, 2470)(935, 2471)(936, 2472)(937, 2473)(938, 2474)(939, 2475)(940, 2476)(941, 2477)(942, 2478)(943, 2479)(944, 2480)(945, 2481)(946, 2482)(947, 2483)(948, 2484)(949, 2485)(950, 2486)(951, 2487)(952, 2488)(953, 2489)(954, 2490)(955, 2491)(956, 2492)(957, 2493)(958, 2494)(959, 2495)(960, 2496)(961, 2497)(962, 2498)(963, 2499)(964, 2500)(965, 2501)(966, 2502)(967, 2503)(968, 2504)(969, 2505)(970, 2506)(971, 2507)(972, 2508)(973, 2509)(974, 2510)(975, 2511)(976, 2512)(977, 2513)(978, 2514)(979, 2515)(980, 2516)(981, 2517)(982, 2518)(983, 2519)(984, 2520)(985, 2521)(986, 2522)(987, 2523)(988, 2524)(989, 2525)(990, 2526)(991, 2527)(992, 2528)(993, 2529)(994, 2530)(995, 2531)(996, 2532)(997, 2533)(998, 2534)(999, 2535)(1000, 2536)(1001, 2537)(1002, 2538)(1003, 2539)(1004, 2540)(1005, 2541)(1006, 2542)(1007, 2543)(1008, 2544)(1009, 2545)(1010, 2546)(1011, 2547)(1012, 2548)(1013, 2549)(1014, 2550)(1015, 2551)(1016, 2552)(1017, 2553)(1018, 2554)(1019, 2555)(1020, 2556)(1021, 2557)(1022, 2558)(1023, 2559)(1024, 2560)(1025, 2561)(1026, 2562)(1027, 2563)(1028, 2564)(1029, 2565)(1030, 2566)(1031, 2567)(1032, 2568)(1033, 2569)(1034, 2570)(1035, 2571)(1036, 2572)(1037, 2573)(1038, 2574)(1039, 2575)(1040, 2576)(1041, 2577)(1042, 2578)(1043, 2579)(1044, 2580)(1045, 2581)(1046, 2582)(1047, 2583)(1048, 2584)(1049, 2585)(1050, 2586)(1051, 2587)(1052, 2588)(1053, 2589)(1054, 2590)(1055, 2591)(1056, 2592)(1057, 2593)(1058, 2594)(1059, 2595)(1060, 2596)(1061, 2597)(1062, 2598)(1063, 2599)(1064, 2600)(1065, 2601)(1066, 2602)(1067, 2603)(1068, 2604)(1069, 2605)(1070, 2606)(1071, 2607)(1072, 2608)(1073, 2609)(1074, 2610)(1075, 2611)(1076, 2612)(1077, 2613)(1078, 2614)(1079, 2615)(1080, 2616)(1081, 2617)(1082, 2618)(1083, 2619)(1084, 2620)(1085, 2621)(1086, 2622)(1087, 2623)(1088, 2624)(1089, 2625)(1090, 2626)(1091, 2627)(1092, 2628)(1093, 2629)(1094, 2630)(1095, 2631)(1096, 2632)(1097, 2633)(1098, 2634)(1099, 2635)(1100, 2636)(1101, 2637)(1102, 2638)(1103, 2639)(1104, 2640)(1105, 2641)(1106, 2642)(1107, 2643)(1108, 2644)(1109, 2645)(1110, 2646)(1111, 2647)(1112, 2648)(1113, 2649)(1114, 2650)(1115, 2651)(1116, 2652)(1117, 2653)(1118, 2654)(1119, 2655)(1120, 2656)(1121, 2657)(1122, 2658)(1123, 2659)(1124, 2660)(1125, 2661)(1126, 2662)(1127, 2663)(1128, 2664)(1129, 2665)(1130, 2666)(1131, 2667)(1132, 2668)(1133, 2669)(1134, 2670)(1135, 2671)(1136, 2672)(1137, 2673)(1138, 2674)(1139, 2675)(1140, 2676)(1141, 2677)(1142, 2678)(1143, 2679)(1144, 2680)(1145, 2681)(1146, 2682)(1147, 2683)(1148, 2684)(1149, 2685)(1150, 2686)(1151, 2687)(1152, 2688)(1153, 2689)(1154, 2690)(1155, 2691)(1156, 2692)(1157, 2693)(1158, 2694)(1159, 2695)(1160, 2696)(1161, 2697)(1162, 2698)(1163, 2699)(1164, 2700)(1165, 2701)(1166, 2702)(1167, 2703)(1168, 2704)(1169, 2705)(1170, 2706)(1171, 2707)(1172, 2708)(1173, 2709)(1174, 2710)(1175, 2711)(1176, 2712)(1177, 2713)(1178, 2714)(1179, 2715)(1180, 2716)(1181, 2717)(1182, 2718)(1183, 2719)(1184, 2720)(1185, 2721)(1186, 2722)(1187, 2723)(1188, 2724)(1189, 2725)(1190, 2726)(1191, 2727)(1192, 2728)(1193, 2729)(1194, 2730)(1195, 2731)(1196, 2732)(1197, 2733)(1198, 2734)(1199, 2735)(1200, 2736)(1201, 2737)(1202, 2738)(1203, 2739)(1204, 2740)(1205, 2741)(1206, 2742)(1207, 2743)(1208, 2744)(1209, 2745)(1210, 2746)(1211, 2747)(1212, 2748)(1213, 2749)(1214, 2750)(1215, 2751)(1216, 2752)(1217, 2753)(1218, 2754)(1219, 2755)(1220, 2756)(1221, 2757)(1222, 2758)(1223, 2759)(1224, 2760)(1225, 2761)(1226, 2762)(1227, 2763)(1228, 2764)(1229, 2765)(1230, 2766)(1231, 2767)(1232, 2768)(1233, 2769)(1234, 2770)(1235, 2771)(1236, 2772)(1237, 2773)(1238, 2774)(1239, 2775)(1240, 2776)(1241, 2777)(1242, 2778)(1243, 2779)(1244, 2780)(1245, 2781)(1246, 2782)(1247, 2783)(1248, 2784)(1249, 2785)(1250, 2786)(1251, 2787)(1252, 2788)(1253, 2789)(1254, 2790)(1255, 2791)(1256, 2792)(1257, 2793)(1258, 2794)(1259, 2795)(1260, 2796)(1261, 2797)(1262, 2798)(1263, 2799)(1264, 2800)(1265, 2801)(1266, 2802)(1267, 2803)(1268, 2804)(1269, 2805)(1270, 2806)(1271, 2807)(1272, 2808)(1273, 2809)(1274, 2810)(1275, 2811)(1276, 2812)(1277, 2813)(1278, 2814)(1279, 2815)(1280, 2816)(1281, 2817)(1282, 2818)(1283, 2819)(1284, 2820)(1285, 2821)(1286, 2822)(1287, 2823)(1288, 2824)(1289, 2825)(1290, 2826)(1291, 2827)(1292, 2828)(1293, 2829)(1294, 2830)(1295, 2831)(1296, 2832)(1297, 2833)(1298, 2834)(1299, 2835)(1300, 2836)(1301, 2837)(1302, 2838)(1303, 2839)(1304, 2840)(1305, 2841)(1306, 2842)(1307, 2843)(1308, 2844)(1309, 2845)(1310, 2846)(1311, 2847)(1312, 2848)(1313, 2849)(1314, 2850)(1315, 2851)(1316, 2852)(1317, 2853)(1318, 2854)(1319, 2855)(1320, 2856)(1321, 2857)(1322, 2858)(1323, 2859)(1324, 2860)(1325, 2861)(1326, 2862)(1327, 2863)(1328, 2864)(1329, 2865)(1330, 2866)(1331, 2867)(1332, 2868)(1333, 2869)(1334, 2870)(1335, 2871)(1336, 2872)(1337, 2873)(1338, 2874)(1339, 2875)(1340, 2876)(1341, 2877)(1342, 2878)(1343, 2879)(1344, 2880)(1345, 2881)(1346, 2882)(1347, 2883)(1348, 2884)(1349, 2885)(1350, 2886)(1351, 2887)(1352, 2888)(1353, 2889)(1354, 2890)(1355, 2891)(1356, 2892)(1357, 2893)(1358, 2894)(1359, 2895)(1360, 2896)(1361, 2897)(1362, 2898)(1363, 2899)(1364, 2900)(1365, 2901)(1366, 2902)(1367, 2903)(1368, 2904)(1369, 2905)(1370, 2906)(1371, 2907)(1372, 2908)(1373, 2909)(1374, 2910)(1375, 2911)(1376, 2912)(1377, 2913)(1378, 2914)(1379, 2915)(1380, 2916)(1381, 2917)(1382, 2918)(1383, 2919)(1384, 2920)(1385, 2921)(1386, 2922)(1387, 2923)(1388, 2924)(1389, 2925)(1390, 2926)(1391, 2927)(1392, 2928)(1393, 2929)(1394, 2930)(1395, 2931)(1396, 2932)(1397, 2933)(1398, 2934)(1399, 2935)(1400, 2936)(1401, 2937)(1402, 2938)(1403, 2939)(1404, 2940)(1405, 2941)(1406, 2942)(1407, 2943)(1408, 2944)(1409, 2945)(1410, 2946)(1411, 2947)(1412, 2948)(1413, 2949)(1414, 2950)(1415, 2951)(1416, 2952)(1417, 2953)(1418, 2954)(1419, 2955)(1420, 2956)(1421, 2957)(1422, 2958)(1423, 2959)(1424, 2960)(1425, 2961)(1426, 2962)(1427, 2963)(1428, 2964)(1429, 2965)(1430, 2966)(1431, 2967)(1432, 2968)(1433, 2969)(1434, 2970)(1435, 2971)(1436, 2972)(1437, 2973)(1438, 2974)(1439, 2975)(1440, 2976)(1441, 2977)(1442, 2978)(1443, 2979)(1444, 2980)(1445, 2981)(1446, 2982)(1447, 2983)(1448, 2984)(1449, 2985)(1450, 2986)(1451, 2987)(1452, 2988)(1453, 2989)(1454, 2990)(1455, 2991)(1456, 2992)(1457, 2993)(1458, 2994)(1459, 2995)(1460, 2996)(1461, 2997)(1462, 2998)(1463, 2999)(1464, 3000)(1465, 3001)(1466, 3002)(1467, 3003)(1468, 3004)(1469, 3005)(1470, 3006)(1471, 3007)(1472, 3008)(1473, 3009)(1474, 3010)(1475, 3011)(1476, 3012)(1477, 3013)(1478, 3014)(1479, 3015)(1480, 3016)(1481, 3017)(1482, 3018)(1483, 3019)(1484, 3020)(1485, 3021)(1486, 3022)(1487, 3023)(1488, 3024)(1489, 3025)(1490, 3026)(1491, 3027)(1492, 3028)(1493, 3029)(1494, 3030)(1495, 3031)(1496, 3032)(1497, 3033)(1498, 3034)(1499, 3035)(1500, 3036)(1501, 3037)(1502, 3038)(1503, 3039)(1504, 3040)(1505, 3041)(1506, 3042)(1507, 3043)(1508, 3044)(1509, 3045)(1510, 3046)(1511, 3047)(1512, 3048)(1513, 3049)(1514, 3050)(1515, 3051)(1516, 3052)(1517, 3053)(1518, 3054)(1519, 3055)(1520, 3056)(1521, 3057)(1522, 3058)(1523, 3059)(1524, 3060)(1525, 3061)(1526, 3062)(1527, 3063)(1528, 3064)(1529, 3065)(1530, 3066)(1531, 3067)(1532, 3068)(1533, 3069)(1534, 3070)(1535, 3071)(1536, 3072)
	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 E17.2380
Graph:: bipartite
	v = 352 e = 1536 f = 1152
	degree seq :: [ 6^256, 16^96 ]

E17.2380 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ Y1, Y2^2, R^2, (R * Y3)^2, (R * Y1)^2, (R * Y2 * Y3^-1)^2, (Y2 * Y3^-1)^3, Y3^8, (Y3^-1 * Y1^-1)^8, Y3^-2 * Y2 * Y3^-3 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-1, (Y3^3 * Y2)^6, Y3^-3 * Y2 * Y3^-2 * Y2 * Y3^2 * Y2 * Y3^2 * Y2 * Y3^-2 * Y2 * Y3^-2 * Y2 * Y3 * Y2 * Y3^-2 * Y2, (Y3^-1 * Y2 * Y3^2 * Y2 * Y3^-1)^4 ]
Map:: polytopal
	R = (1, 769)(2, 770)(3, 771)(4, 772)(5, 773)(6, 774)(7, 775)(8, 776)(9, 777)(10, 778)(11, 779)(12, 780)(13, 781)(14, 782)(15, 783)(16, 784)(17, 785)(18, 786)(19, 787)(20, 788)(21, 789)(22, 790)(23, 791)(24, 792)(25, 793)(26, 794)(27, 795)(28, 796)(29, 797)(30, 798)(31, 799)(32, 800)(33, 801)(34, 802)(35, 803)(36, 804)(37, 805)(38, 806)(39, 807)(40, 808)(41, 809)(42, 810)(43, 811)(44, 812)(45, 813)(46, 814)(47, 815)(48, 816)(49, 817)(50, 818)(51, 819)(52, 820)(53, 821)(54, 822)(55, 823)(56, 824)(57, 825)(58, 826)(59, 827)(60, 828)(61, 829)(62, 830)(63, 831)(64, 832)(65, 833)(66, 834)(67, 835)(68, 836)(69, 837)(70, 838)(71, 839)(72, 840)(73, 841)(74, 842)(75, 843)(76, 844)(77, 845)(78, 846)(79, 847)(80, 848)(81, 849)(82, 850)(83, 851)(84, 852)(85, 853)(86, 854)(87, 855)(88, 856)(89, 857)(90, 858)(91, 859)(92, 860)(93, 861)(94, 862)(95, 863)(96, 864)(97, 865)(98, 866)(99, 867)(100, 868)(101, 869)(102, 870)(103, 871)(104, 872)(105, 873)(106, 874)(107, 875)(108, 876)(109, 877)(110, 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	L = (1, 1539)(2, 1541)(3, 1544)(4, 1537)(5, 1548)(6, 1538)(7, 1549)(8, 1553)(9, 1554)(10, 1540)(11, 1545)(12, 1559)(13, 1560)(14, 1542)(15, 1543)(16, 1563)(17, 1567)(18, 1569)(19, 1570)(20, 1546)(21, 1547)(22, 1572)(23, 1576)(24, 1578)(25, 1579)(26, 1550)(27, 1581)(28, 1551)(29, 1552)(30, 1584)(31, 1556)(32, 1555)(33, 1590)(34, 1592)(35, 1593)(36, 1594)(37, 1557)(38, 1558)(39, 1597)(40, 1562)(41, 1561)(42, 1603)(43, 1605)(44, 1606)(45, 1608)(46, 1609)(47, 1564)(48, 1611)(49, 1565)(50, 1566)(51, 1614)(52, 1568)(53, 1617)(54, 1596)(55, 1571)(56, 1623)(57, 1624)(58, 1626)(59, 1627)(60, 1573)(61, 1629)(62, 1574)(63, 1575)(64, 1632)(65, 1577)(66, 1635)(67, 1583)(68, 1580)(69, 1641)(70, 1642)(71, 1582)(72, 1645)(73, 1647)(74, 1648)(75, 1650)(76, 1651)(77, 1585)(78, 1653)(79, 1586)(80, 1587)(81, 1657)(82, 1588)(83, 1589)(84, 1660)(85, 1591)(86, 1663)(87, 1659)(88, 1668)(89, 1595)(90, 1671)(91, 1673)(92, 1674)(93, 1676)(94, 1677)(95, 1598)(96, 1679)(97, 1599)(98, 1600)(99, 1683)(100, 1601)(101, 1602)(102, 1686)(103, 1604)(104, 1689)(105, 1685)(106, 1694)(107, 1607)(108, 1695)(109, 1613)(110, 1610)(111, 1701)(112, 1702)(113, 1612)(114, 1705)(115, 1707)(116, 1708)(117, 1710)(118, 1711)(119, 1615)(120, 1616)(121, 1716)(122, 1717)(123, 1618)(124, 1719)(125, 1619)(126, 1620)(127, 1723)(128, 1621)(129, 1622)(130, 1726)(131, 1713)(132, 1725)(133, 1625)(134, 1731)(135, 1631)(136, 1628)(137, 1737)(138, 1738)(139, 1630)(140, 1741)(141, 1743)(142, 1744)(143, 1746)(144, 1747)(145, 1633)(146, 1634)(147, 1752)(148, 1753)(149, 1636)(150, 1755)(151, 1637)(152, 1638)(153, 1759)(154, 1639)(155, 1640)(156, 1762)(157, 1749)(158, 1761)(159, 1767)(160, 1643)(161, 1644)(162, 1770)(163, 1646)(164, 1773)(165, 1769)(166, 1778)(167, 1649)(168, 1779)(169, 1655)(170, 1652)(171, 1785)(172, 1786)(173, 1654)(174, 1789)(175, 1791)(176, 1792)(177, 1793)(178, 1656)(179, 1658)(180, 1797)(181, 1799)(182, 1800)(183, 1802)(184, 1803)(185, 1661)(186, 1662)(187, 1808)(188, 1809)(189, 1664)(190, 1811)(191, 1665)(192, 1666)(193, 1667)(194, 1815)(195, 1818)(196, 1669)(197, 1670)(198, 1821)(199, 1672)(200, 1824)(201, 1820)(202, 1829)(203, 1675)(204, 1830)(205, 1681)(206, 1678)(207, 1836)(208, 1837)(209, 1680)(210, 1840)(211, 1842)(212, 1843)(213, 1844)(214, 1682)(215, 1684)(216, 1848)(217, 1850)(218, 1851)(219, 1853)(220, 1854)(221, 1687)(222, 1688)(223, 1859)(224, 1860)(225, 1690)(226, 1862)(227, 1691)(228, 1692)(229, 1693)(230, 1866)(231, 1870)(232, 1871)(233, 1696)(234, 1873)(235, 1697)(236, 1698)(237, 1877)(238, 1699)(239, 1700)(240, 1878)(241, 1856)(242, 1833)(243, 1882)(244, 1703)(245, 1704)(246, 1825)(247, 1706)(248, 1886)(249, 1884)(250, 1891)(251, 1709)(252, 1892)(253, 1714)(254, 1712)(255, 1896)(256, 1897)(257, 1899)(258, 1839)(259, 1715)(260, 1900)(261, 1721)(262, 1718)(263, 1905)(264, 1876)(265, 1720)(266, 1861)(267, 1908)(268, 1909)(269, 1910)(270, 1722)(271, 1724)(272, 1913)(273, 1914)(274, 1857)(275, 1916)(276, 1917)(277, 1727)(278, 1728)(279, 1921)(280, 1729)(281, 1730)(282, 1926)(283, 1927)(284, 1732)(285, 1929)(286, 1733)(287, 1734)(288, 1933)(289, 1735)(290, 1736)(291, 1934)(292, 1805)(293, 1782)(294, 1938)(295, 1739)(296, 1740)(297, 1774)(298, 1742)(299, 1942)(300, 1940)(301, 1947)(302, 1745)(303, 1948)(304, 1750)(305, 1748)(306, 1952)(307, 1953)(308, 1955)(309, 1788)(310, 1751)(311, 1956)(312, 1757)(313, 1754)(314, 1961)(315, 1932)(316, 1756)(317, 1810)(318, 1964)(319, 1965)(320, 1966)(321, 1758)(322, 1760)(323, 1969)(324, 1970)(325, 1806)(326, 1972)(327, 1973)(328, 1763)(329, 1764)(330, 1977)(331, 1765)(332, 1766)(333, 1768)(334, 1983)(335, 1984)(336, 1976)(337, 1798)(338, 1986)(339, 1771)(340, 1772)(341, 1989)(342, 1990)(343, 1775)(344, 1776)(345, 1777)(346, 1996)(347, 1997)(348, 1780)(349, 1781)(350, 2000)(351, 1783)(352, 1784)(353, 2001)(354, 1988)(355, 1959)(356, 2005)(357, 1787)(358, 1790)(359, 2008)(360, 2007)(361, 2012)(362, 1794)(363, 2015)(364, 2016)(365, 1795)(366, 1796)(367, 1943)(368, 1985)(369, 2018)(370, 1801)(371, 1804)(372, 2025)(373, 2026)(374, 2027)(375, 1807)(376, 2028)(377, 1813)(378, 2032)(379, 1812)(380, 1928)(381, 2035)(382, 2036)(383, 2037)(384, 1814)(385, 2039)(386, 2040)(387, 1816)(388, 1817)(389, 1819)(390, 2045)(391, 2046)(392, 1920)(393, 1849)(394, 2048)(395, 1822)(396, 1823)(397, 2051)(398, 2052)(399, 1826)(400, 1827)(401, 1828)(402, 2058)(403, 2059)(404, 1831)(405, 1832)(406, 2062)(407, 1834)(408, 1835)(409, 2063)(410, 2050)(411, 1903)(412, 2067)(413, 1838)(414, 1841)(415, 2070)(416, 2069)(417, 2074)(418, 1845)(419, 2077)(420, 2078)(421, 1846)(422, 1847)(423, 1887)(424, 2047)(425, 2080)(426, 1852)(427, 1855)(428, 2087)(429, 2088)(430, 2089)(431, 1858)(432, 2090)(433, 1864)(434, 2094)(435, 1863)(436, 1872)(437, 2097)(438, 2098)(439, 2099)(440, 1865)(441, 2101)(442, 2102)(443, 1867)(444, 1868)(445, 1869)(446, 2043)(447, 1875)(448, 2107)(449, 1874)(450, 2109)(451, 2110)(452, 1919)(453, 2112)(454, 2114)(455, 2115)(456, 1879)(457, 1880)(458, 1881)(459, 1883)(460, 2120)(461, 2121)(462, 2117)(463, 1885)(464, 2123)(465, 2124)(466, 1888)(467, 1889)(468, 1890)(469, 2129)(470, 2130)(471, 1893)(472, 2132)(473, 1894)(474, 1895)(475, 2133)(476, 2106)(477, 1898)(478, 2136)(479, 1923)(480, 2079)(481, 2140)(482, 1901)(483, 1902)(484, 1904)(485, 2143)(486, 1906)(487, 1907)(488, 2148)(489, 2147)(490, 2151)(491, 2153)(492, 2057)(493, 1911)(494, 1912)(495, 2149)(496, 2154)(497, 1915)(498, 1918)(499, 2159)(500, 2160)(501, 2161)(502, 1922)(503, 2141)(504, 2164)(505, 2165)(506, 1924)(507, 1925)(508, 1981)(509, 1931)(510, 2168)(511, 1930)(512, 2170)(513, 2171)(514, 1975)(515, 2173)(516, 2175)(517, 2176)(518, 1935)(519, 1936)(520, 1937)(521, 1939)(522, 2181)(523, 2182)(524, 2178)(525, 1941)(526, 2184)(527, 2185)(528, 1944)(529, 1945)(530, 1946)(531, 2190)(532, 2191)(533, 1949)(534, 2193)(535, 1950)(536, 1951)(537, 2194)(538, 2167)(539, 1954)(540, 2197)(541, 1979)(542, 2017)(543, 2201)(544, 1957)(545, 1958)(546, 1960)(547, 2204)(548, 1962)(549, 1963)(550, 2209)(551, 2208)(552, 2212)(553, 2214)(554, 1995)(555, 1967)(556, 1968)(557, 2210)(558, 2215)(559, 1971)(560, 1974)(561, 2220)(562, 2221)(563, 2222)(564, 1978)(565, 2202)(566, 2225)(567, 2226)(568, 1980)(569, 1982)(570, 2009)(571, 2166)(572, 1987)(573, 2228)(574, 2179)(575, 2183)(576, 1992)(577, 1991)(578, 1998)(579, 2024)(580, 2233)(581, 1993)(582, 2234)(583, 1994)(584, 1999)(585, 2216)(586, 2189)(587, 2237)(588, 2238)(589, 2002)(590, 2003)(591, 2004)(592, 2006)(593, 2198)(594, 2241)(595, 2239)(596, 2242)(597, 2243)(598, 2010)(599, 2011)(600, 2217)(601, 2013)(602, 2014)(603, 2246)(604, 2203)(605, 2042)(606, 2019)(607, 2249)(608, 2020)(609, 2021)(610, 2250)(611, 2022)(612, 2252)(613, 2023)(614, 2232)(615, 2031)(616, 2206)(617, 2180)(618, 2029)(619, 2030)(620, 2207)(621, 2033)(622, 2034)(623, 2256)(624, 2248)(625, 2240)(626, 2038)(627, 2041)(628, 2257)(629, 2245)(630, 2044)(631, 2071)(632, 2105)(633, 2049)(634, 2259)(635, 2118)(636, 2122)(637, 2054)(638, 2053)(639, 2060)(640, 2086)(641, 2264)(642, 2055)(643, 2265)(644, 2056)(645, 2061)(646, 2155)(647, 2128)(648, 2268)(649, 2269)(650, 2064)(651, 2065)(652, 2066)(653, 2068)(654, 2137)(655, 2272)(656, 2270)(657, 2273)(658, 2274)(659, 2072)(660, 2073)(661, 2156)(662, 2075)(663, 2076)(664, 2277)(665, 2142)(666, 2104)(667, 2081)(668, 2280)(669, 2082)(670, 2083)(671, 2281)(672, 2084)(673, 2283)(674, 2085)(675, 2263)(676, 2093)(677, 2145)(678, 2119)(679, 2091)(680, 2092)(681, 2146)(682, 2095)(683, 2096)(684, 2287)(685, 2279)(686, 2271)(687, 2100)(688, 2103)(689, 2288)(690, 2276)(691, 2108)(692, 2144)(693, 2111)(694, 2289)(695, 2113)(696, 2116)(697, 2266)(698, 2261)(699, 2292)(700, 2162)(701, 2125)(702, 2131)(703, 2126)(704, 2127)(705, 2290)(706, 2294)(707, 2163)(708, 2134)(709, 2135)(710, 2158)(711, 2138)(712, 2139)(713, 2296)(714, 2295)(715, 2285)(716, 2291)(717, 2150)(718, 2152)(719, 2284)(720, 2157)(721, 2293)(722, 2169)(723, 2205)(724, 2172)(725, 2297)(726, 2174)(727, 2177)(728, 2235)(729, 2230)(730, 2300)(731, 2223)(732, 2186)(733, 2192)(734, 2187)(735, 2188)(736, 2298)(737, 2302)(738, 2224)(739, 2195)(740, 2196)(741, 2219)(742, 2199)(743, 2200)(744, 2304)(745, 2303)(746, 2254)(747, 2299)(748, 2211)(749, 2213)(750, 2253)(751, 2218)(752, 2301)(753, 2227)(754, 2229)(755, 2231)(756, 2255)(757, 2236)(758, 2244)(759, 2247)(760, 2251)(761, 2258)(762, 2260)(763, 2262)(764, 2286)(765, 2267)(766, 2275)(767, 2278)(768, 2282)(769, 2305)(770, 2306)(771, 2307)(772, 2308)(773, 2309)(774, 2310)(775, 2311)(776, 2312)(777, 2313)(778, 2314)(779, 2315)(780, 2316)(781, 2317)(782, 2318)(783, 2319)(784, 2320)(785, 2321)(786, 2322)(787, 2323)(788, 2324)(789, 2325)(790, 2326)(791, 2327)(792, 2328)(793, 2329)(794, 2330)(795, 2331)(796, 2332)(797, 2333)(798, 2334)(799, 2335)(800, 2336)(801, 2337)(802, 2338)(803, 2339)(804, 2340)(805, 2341)(806, 2342)(807, 2343)(808, 2344)(809, 2345)(810, 2346)(811, 2347)(812, 2348)(813, 2349)(814, 2350)(815, 2351)(816, 2352)(817, 2353)(818, 2354)(819, 2355)(820, 2356)(821, 2357)(822, 2358)(823, 2359)(824, 2360)(825, 2361)(826, 2362)(827, 2363)(828, 2364)(829, 2365)(830, 2366)(831, 2367)(832, 2368)(833, 2369)(834, 2370)(835, 2371)(836, 2372)(837, 2373)(838, 2374)(839, 2375)(840, 2376)(841, 2377)(842, 2378)(843, 2379)(844, 2380)(845, 2381)(846, 2382)(847, 2383)(848, 2384)(849, 2385)(850, 2386)(851, 2387)(852, 2388)(853, 2389)(854, 2390)(855, 2391)(856, 2392)(857, 2393)(858, 2394)(859, 2395)(860, 2396)(861, 2397)(862, 2398)(863, 2399)(864, 2400)(865, 2401)(866, 2402)(867, 2403)(868, 2404)(869, 2405)(870, 2406)(871, 2407)(872, 2408)(873, 2409)(874, 2410)(875, 2411)(876, 2412)(877, 2413)(878, 2414)(879, 2415)(880, 2416)(881, 2417)(882, 2418)(883, 2419)(884, 2420)(885, 2421)(886, 2422)(887, 2423)(888, 2424)(889, 2425)(890, 2426)(891, 2427)(892, 2428)(893, 2429)(894, 2430)(895, 2431)(896, 2432)(897, 2433)(898, 2434)(899, 2435)(900, 2436)(901, 2437)(902, 2438)(903, 2439)(904, 2440)(905, 2441)(906, 2442)(907, 2443)(908, 2444)(909, 2445)(910, 2446)(911, 2447)(912, 2448)(913, 2449)(914, 2450)(915, 2451)(916, 2452)(917, 2453)(918, 2454)(919, 2455)(920, 2456)(921, 2457)(922, 2458)(923, 2459)(924, 2460)(925, 2461)(926, 2462)(927, 2463)(928, 2464)(929, 2465)(930, 2466)(931, 2467)(932, 2468)(933, 2469)(934, 2470)(935, 2471)(936, 2472)(937, 2473)(938, 2474)(939, 2475)(940, 2476)(941, 2477)(942, 2478)(943, 2479)(944, 2480)(945, 2481)(946, 2482)(947, 2483)(948, 2484)(949, 2485)(950, 2486)(951, 2487)(952, 2488)(953, 2489)(954, 2490)(955, 2491)(956, 2492)(957, 2493)(958, 2494)(959, 2495)(960, 2496)(961, 2497)(962, 2498)(963, 2499)(964, 2500)(965, 2501)(966, 2502)(967, 2503)(968, 2504)(969, 2505)(970, 2506)(971, 2507)(972, 2508)(973, 2509)(974, 2510)(975, 2511)(976, 2512)(977, 2513)(978, 2514)(979, 2515)(980, 2516)(981, 2517)(982, 2518)(983, 2519)(984, 2520)(985, 2521)(986, 2522)(987, 2523)(988, 2524)(989, 2525)(990, 2526)(991, 2527)(992, 2528)(993, 2529)(994, 2530)(995, 2531)(996, 2532)(997, 2533)(998, 2534)(999, 2535)(1000, 2536)(1001, 2537)(1002, 2538)(1003, 2539)(1004, 2540)(1005, 2541)(1006, 2542)(1007, 2543)(1008, 2544)(1009, 2545)(1010, 2546)(1011, 2547)(1012, 2548)(1013, 2549)(1014, 2550)(1015, 2551)(1016, 2552)(1017, 2553)(1018, 2554)(1019, 2555)(1020, 2556)(1021, 2557)(1022, 2558)(1023, 2559)(1024, 2560)(1025, 2561)(1026, 2562)(1027, 2563)(1028, 2564)(1029, 2565)(1030, 2566)(1031, 2567)(1032, 2568)(1033, 2569)(1034, 2570)(1035, 2571)(1036, 2572)(1037, 2573)(1038, 2574)(1039, 2575)(1040, 2576)(1041, 2577)(1042, 2578)(1043, 2579)(1044, 2580)(1045, 2581)(1046, 2582)(1047, 2583)(1048, 2584)(1049, 2585)(1050, 2586)(1051, 2587)(1052, 2588)(1053, 2589)(1054, 2590)(1055, 2591)(1056, 2592)(1057, 2593)(1058, 2594)(1059, 2595)(1060, 2596)(1061, 2597)(1062, 2598)(1063, 2599)(1064, 2600)(1065, 2601)(1066, 2602)(1067, 2603)(1068, 2604)(1069, 2605)(1070, 2606)(1071, 2607)(1072, 2608)(1073, 2609)(1074, 2610)(1075, 2611)(1076, 2612)(1077, 2613)(1078, 2614)(1079, 2615)(1080, 2616)(1081, 2617)(1082, 2618)(1083, 2619)(1084, 2620)(1085, 2621)(1086, 2622)(1087, 2623)(1088, 2624)(1089, 2625)(1090, 2626)(1091, 2627)(1092, 2628)(1093, 2629)(1094, 2630)(1095, 2631)(1096, 2632)(1097, 2633)(1098, 2634)(1099, 2635)(1100, 2636)(1101, 2637)(1102, 2638)(1103, 2639)(1104, 2640)(1105, 2641)(1106, 2642)(1107, 2643)(1108, 2644)(1109, 2645)(1110, 2646)(1111, 2647)(1112, 2648)(1113, 2649)(1114, 2650)(1115, 2651)(1116, 2652)(1117, 2653)(1118, 2654)(1119, 2655)(1120, 2656)(1121, 2657)(1122, 2658)(1123, 2659)(1124, 2660)(1125, 2661)(1126, 2662)(1127, 2663)(1128, 2664)(1129, 2665)(1130, 2666)(1131, 2667)(1132, 2668)(1133, 2669)(1134, 2670)(1135, 2671)(1136, 2672)(1137, 2673)(1138, 2674)(1139, 2675)(1140, 2676)(1141, 2677)(1142, 2678)(1143, 2679)(1144, 2680)(1145, 2681)(1146, 2682)(1147, 2683)(1148, 2684)(1149, 2685)(1150, 2686)(1151, 2687)(1152, 2688)(1153, 2689)(1154, 2690)(1155, 2691)(1156, 2692)(1157, 2693)(1158, 2694)(1159, 2695)(1160, 2696)(1161, 2697)(1162, 2698)(1163, 2699)(1164, 2700)(1165, 2701)(1166, 2702)(1167, 2703)(1168, 2704)(1169, 2705)(1170, 2706)(1171, 2707)(1172, 2708)(1173, 2709)(1174, 2710)(1175, 2711)(1176, 2712)(1177, 2713)(1178, 2714)(1179, 2715)(1180, 2716)(1181, 2717)(1182, 2718)(1183, 2719)(1184, 2720)(1185, 2721)(1186, 2722)(1187, 2723)(1188, 2724)(1189, 2725)(1190, 2726)(1191, 2727)(1192, 2728)(1193, 2729)(1194, 2730)(1195, 2731)(1196, 2732)(1197, 2733)(1198, 2734)(1199, 2735)(1200, 2736)(1201, 2737)(1202, 2738)(1203, 2739)(1204, 2740)(1205, 2741)(1206, 2742)(1207, 2743)(1208, 2744)(1209, 2745)(1210, 2746)(1211, 2747)(1212, 2748)(1213, 2749)(1214, 2750)(1215, 2751)(1216, 2752)(1217, 2753)(1218, 2754)(1219, 2755)(1220, 2756)(1221, 2757)(1222, 2758)(1223, 2759)(1224, 2760)(1225, 2761)(1226, 2762)(1227, 2763)(1228, 2764)(1229, 2765)(1230, 2766)(1231, 2767)(1232, 2768)(1233, 2769)(1234, 2770)(1235, 2771)(1236, 2772)(1237, 2773)(1238, 2774)(1239, 2775)(1240, 2776)(1241, 2777)(1242, 2778)(1243, 2779)(1244, 2780)(1245, 2781)(1246, 2782)(1247, 2783)(1248, 2784)(1249, 2785)(1250, 2786)(1251, 2787)(1252, 2788)(1253, 2789)(1254, 2790)(1255, 2791)(1256, 2792)(1257, 2793)(1258, 2794)(1259, 2795)(1260, 2796)(1261, 2797)(1262, 2798)(1263, 2799)(1264, 2800)(1265, 2801)(1266, 2802)(1267, 2803)(1268, 2804)(1269, 2805)(1270, 2806)(1271, 2807)(1272, 2808)(1273, 2809)(1274, 2810)(1275, 2811)(1276, 2812)(1277, 2813)(1278, 2814)(1279, 2815)(1280, 2816)(1281, 2817)(1282, 2818)(1283, 2819)(1284, 2820)(1285, 2821)(1286, 2822)(1287, 2823)(1288, 2824)(1289, 2825)(1290, 2826)(1291, 2827)(1292, 2828)(1293, 2829)(1294, 2830)(1295, 2831)(1296, 2832)(1297, 2833)(1298, 2834)(1299, 2835)(1300, 2836)(1301, 2837)(1302, 2838)(1303, 2839)(1304, 2840)(1305, 2841)(1306, 2842)(1307, 2843)(1308, 2844)(1309, 2845)(1310, 2846)(1311, 2847)(1312, 2848)(1313, 2849)(1314, 2850)(1315, 2851)(1316, 2852)(1317, 2853)(1318, 2854)(1319, 2855)(1320, 2856)(1321, 2857)(1322, 2858)(1323, 2859)(1324, 2860)(1325, 2861)(1326, 2862)(1327, 2863)(1328, 2864)(1329, 2865)(1330, 2866)(1331, 2867)(1332, 2868)(1333, 2869)(1334, 2870)(1335, 2871)(1336, 2872)(1337, 2873)(1338, 2874)(1339, 2875)(1340, 2876)(1341, 2877)(1342, 2878)(1343, 2879)(1344, 2880)(1345, 2881)(1346, 2882)(1347, 2883)(1348, 2884)(1349, 2885)(1350, 2886)(1351, 2887)(1352, 2888)(1353, 2889)(1354, 2890)(1355, 2891)(1356, 2892)(1357, 2893)(1358, 2894)(1359, 2895)(1360, 2896)(1361, 2897)(1362, 2898)(1363, 2899)(1364, 2900)(1365, 2901)(1366, 2902)(1367, 2903)(1368, 2904)(1369, 2905)(1370, 2906)(1371, 2907)(1372, 2908)(1373, 2909)(1374, 2910)(1375, 2911)(1376, 2912)(1377, 2913)(1378, 2914)(1379, 2915)(1380, 2916)(1381, 2917)(1382, 2918)(1383, 2919)(1384, 2920)(1385, 2921)(1386, 2922)(1387, 2923)(1388, 2924)(1389, 2925)(1390, 2926)(1391, 2927)(1392, 2928)(1393, 2929)(1394, 2930)(1395, 2931)(1396, 2932)(1397, 2933)(1398, 2934)(1399, 2935)(1400, 2936)(1401, 2937)(1402, 2938)(1403, 2939)(1404, 2940)(1405, 2941)(1406, 2942)(1407, 2943)(1408, 2944)(1409, 2945)(1410, 2946)(1411, 2947)(1412, 2948)(1413, 2949)(1414, 2950)(1415, 2951)(1416, 2952)(1417, 2953)(1418, 2954)(1419, 2955)(1420, 2956)(1421, 2957)(1422, 2958)(1423, 2959)(1424, 2960)(1425, 2961)(1426, 2962)(1427, 2963)(1428, 2964)(1429, 2965)(1430, 2966)(1431, 2967)(1432, 2968)(1433, 2969)(1434, 2970)(1435, 2971)(1436, 2972)(1437, 2973)(1438, 2974)(1439, 2975)(1440, 2976)(1441, 2977)(1442, 2978)(1443, 2979)(1444, 2980)(1445, 2981)(1446, 2982)(1447, 2983)(1448, 2984)(1449, 2985)(1450, 2986)(1451, 2987)(1452, 2988)(1453, 2989)(1454, 2990)(1455, 2991)(1456, 2992)(1457, 2993)(1458, 2994)(1459, 2995)(1460, 2996)(1461, 2997)(1462, 2998)(1463, 2999)(1464, 3000)(1465, 3001)(1466, 3002)(1467, 3003)(1468, 3004)(1469, 3005)(1470, 3006)(1471, 3007)(1472, 3008)(1473, 3009)(1474, 3010)(1475, 3011)(1476, 3012)(1477, 3013)(1478, 3014)(1479, 3015)(1480, 3016)(1481, 3017)(1482, 3018)(1483, 3019)(1484, 3020)(1485, 3021)(1486, 3022)(1487, 3023)(1488, 3024)(1489, 3025)(1490, 3026)(1491, 3027)(1492, 3028)(1493, 3029)(1494, 3030)(1495, 3031)(1496, 3032)(1497, 3033)(1498, 3034)(1499, 3035)(1500, 3036)(1501, 3037)(1502, 3038)(1503, 3039)(1504, 3040)(1505, 3041)(1506, 3042)(1507, 3043)(1508, 3044)(1509, 3045)(1510, 3046)(1511, 3047)(1512, 3048)(1513, 3049)(1514, 3050)(1515, 3051)(1516, 3052)(1517, 3053)(1518, 3054)(1519, 3055)(1520, 3056)(1521, 3057)(1522, 3058)(1523, 3059)(1524, 3060)(1525, 3061)(1526, 3062)(1527, 3063)(1528, 3064)(1529, 3065)(1530, 3066)(1531, 3067)(1532, 3068)(1533, 3069)(1534, 3070)(1535, 3071)(1536, 3072)
	local type(s) :: { ( 6, 16 ), ( 6, 16, 6, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2379
Graph:: simple bipartite
	v = 1152 e = 1536 f = 352
	degree seq :: [ 2^768, 4^384 ]

E17.2381 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y3^2, R * Y2 * R * Y2^-1, (R * Y3)^2, (R * Y1)^2, (Y3 * Y2^-1)^2, (Y1^-1 * Y3)^3, Y1^8, Y1^8, Y3 * Y1^3 * Y3 * Y1^-1 * Y3 * Y1^3 * Y3 * Y1^4 * Y3 * Y1^-4, Y3 * Y1^3 * Y3 * Y1^-4 * Y3 * Y1^3 * Y3 * Y1^-2 * Y3 * Y1^-2 * Y3 * Y1^-2, Y1^-1 * Y3 * Y1 * Y3 * Y1^-1 * Y3 * Y1^2 * Y3 * Y1^3 * Y3 * Y1^2 * Y3 * Y1^-2 * Y3 * Y1^-3 * Y3 * Y1^-1, (Y1^-2 * Y3 * Y1^2 * Y3)^4 ]
Map:: polytopal
	R = (1, 769, 2, 770, 5, 773, 11, 779, 21, 789, 20, 788, 10, 778, 4, 772)(3, 771, 7, 775, 15, 783, 27, 795, 45, 813, 31, 799, 17, 785, 8, 776)(6, 774, 13, 781, 25, 793, 41, 809, 66, 834, 44, 812, 26, 794, 14, 782)(9, 777, 18, 786, 32, 800, 52, 820, 77, 845, 49, 817, 29, 797, 16, 784)(12, 780, 23, 791, 39, 807, 62, 830, 95, 863, 65, 833, 40, 808, 24, 792)(19, 787, 34, 802, 55, 823, 85, 853, 126, 894, 84, 852, 54, 822, 33, 801)(22, 790, 37, 805, 60, 828, 91, 859, 137, 905, 94, 862, 61, 829, 38, 806)(28, 796, 47, 815, 74, 842, 111, 879, 165, 933, 114, 882, 75, 843, 48, 816)(30, 798, 50, 818, 78, 846, 117, 885, 154, 922, 103, 871, 68, 836, 42, 810)(35, 803, 57, 825, 88, 856, 131, 899, 192, 960, 130, 898, 87, 855, 56, 824)(36, 804, 58, 826, 89, 857, 133, 901, 195, 963, 136, 904, 90, 858, 59, 827)(43, 811, 69, 837, 104, 872, 155, 923, 212, 980, 145, 913, 97, 865, 63, 831)(46, 814, 72, 840, 109, 877, 161, 929, 235, 1003, 164, 932, 110, 878, 73, 841)(51, 819, 80, 848, 120, 888, 177, 945, 256, 1024, 176, 944, 119, 887, 79, 847)(53, 821, 82, 850, 123, 891, 181, 949, 263, 1031, 184, 952, 124, 892, 83, 851)(64, 832, 98, 866, 146, 914, 213, 981, 294, 1062, 203, 971, 139, 907, 92, 860)(67, 835, 101, 869, 151, 919, 219, 987, 317, 1085, 222, 990, 152, 920, 102, 870)(70, 838, 106, 874, 158, 926, 229, 997, 330, 1098, 228, 996, 157, 925, 105, 873)(71, 839, 107, 875, 159, 927, 231, 999, 282, 1050, 234, 1002, 160, 928, 108, 876)(76, 844, 115, 883, 170, 938, 247, 1015, 344, 1112, 243, 1011, 167, 935, 112, 880)(81, 849, 121, 889, 179, 947, 259, 1027, 360, 1128, 262, 1030, 180, 948, 122, 890)(86, 854, 128, 896, 189, 957, 273, 1041, 379, 1147, 276, 1044, 190, 958, 129, 897)(93, 861, 140, 908, 204, 972, 295, 1063, 392, 1160, 285, 1053, 197, 965, 134, 902)(96, 864, 143, 911, 209, 977, 301, 1069, 411, 1179, 304, 1072, 210, 978, 144, 912)(99, 867, 148, 916, 216, 984, 311, 1079, 424, 1192, 310, 1078, 215, 983, 147, 915)(100, 868, 149, 917, 217, 985, 313, 1081, 278, 1046, 316, 1084, 218, 986, 150, 918)(113, 881, 168, 936, 244, 1012, 345, 1113, 449, 1217, 336, 1104, 237, 1005, 162, 930)(116, 884, 172, 940, 250, 1018, 290, 1058, 200, 968, 289, 1057, 249, 1017, 171, 939)(118, 886, 174, 942, 253, 1021, 355, 1123, 470, 1238, 358, 1126, 254, 1022, 175, 943)(125, 893, 185, 953, 268, 1036, 373, 1141, 485, 1253, 369, 1137, 265, 1033, 182, 950)(127, 895, 187, 955, 271, 1039, 375, 1143, 458, 1226, 378, 1146, 272, 1040, 188, 956)(132, 900, 135, 903, 198, 966, 286, 1054, 393, 1161, 388, 1156, 281, 1049, 194, 962)(138, 906, 201, 969, 291, 1059, 397, 1165, 517, 1285, 400, 1168, 292, 1060, 202, 970)(141, 909, 206, 974, 298, 1066, 407, 1175, 530, 1298, 406, 1174, 297, 1065, 205, 973)(142, 910, 207, 975, 299, 1067, 269, 1037, 186, 954, 270, 1038, 300, 1068, 208, 976)(153, 921, 223, 991, 322, 1090, 433, 1201, 551, 1319, 430, 1198, 319, 1087, 220, 988)(156, 924, 226, 994, 327, 1095, 439, 1207, 561, 1329, 442, 1210, 328, 1096, 227, 995)(163, 931, 238, 1006, 337, 1105, 450, 1218, 570, 1338, 445, 1213, 333, 1101, 232, 1000)(166, 934, 241, 1009, 341, 1109, 453, 1221, 581, 1349, 456, 1224, 342, 1110, 242, 1010)(169, 937, 246, 1014, 348, 1116, 463, 1231, 366, 1134, 462, 1230, 347, 1115, 245, 1013)(173, 941, 251, 1019, 353, 1121, 417, 1185, 306, 1074, 418, 1186, 354, 1122, 252, 1020)(178, 946, 233, 1001, 334, 1102, 446, 1214, 571, 1339, 479, 1247, 363, 1131, 258, 1026)(183, 951, 266, 1034, 370, 1138, 486, 1254, 605, 1373, 480, 1248, 364, 1132, 260, 1028)(191, 959, 277, 1045, 384, 1152, 501, 1269, 621, 1389, 497, 1265, 381, 1149, 274, 1042)(193, 961, 279, 1047, 385, 1153, 502, 1270, 610, 1378, 504, 1272, 386, 1154, 280, 1048)(196, 964, 283, 1051, 389, 1157, 507, 1275, 630, 1398, 509, 1277, 390, 1158, 284, 1052)(199, 967, 288, 1056, 396, 1164, 516, 1284, 642, 1410, 515, 1283, 395, 1163, 287, 1055)(211, 979, 305, 1073, 416, 1184, 537, 1305, 656, 1424, 534, 1302, 413, 1181, 302, 1070)(214, 982, 308, 1076, 421, 1189, 541, 1309, 664, 1432, 544, 1312, 422, 1190, 309, 1077)(221, 989, 320, 1088, 431, 1199, 552, 1320, 672, 1440, 547, 1315, 427, 1195, 314, 1082)(224, 992, 324, 1092, 436, 1204, 340, 1108, 240, 1008, 339, 1107, 435, 1203, 323, 1091)(225, 993, 325, 1093, 437, 1205, 523, 1291, 402, 1170, 524, 1292, 438, 1206, 326, 1094)(230, 998, 315, 1083, 428, 1196, 548, 1316, 673, 1441, 568, 1336, 444, 1212, 332, 1100)(236, 1004, 335, 1103, 447, 1215, 573, 1341, 631, 1399, 563, 1331, 440, 1208, 329, 1097)(239, 1007, 331, 1099, 443, 1211, 566, 1334, 687, 1455, 580, 1348, 452, 1220, 338, 1106)(248, 1016, 350, 1118, 399, 1167, 520, 1288, 644, 1412, 592, 1360, 467, 1235, 351, 1119)(255, 1023, 359, 1127, 475, 1243, 598, 1366, 641, 1409, 518, 1286, 472, 1240, 356, 1124)(257, 1025, 361, 1129, 476, 1244, 599, 1367, 676, 1444, 601, 1369, 477, 1245, 362, 1130)(261, 1029, 365, 1133, 481, 1249, 606, 1374, 655, 1423, 532, 1300, 408, 1176, 352, 1120)(264, 1032, 367, 1135, 482, 1250, 550, 1318, 675, 1443, 608, 1376, 483, 1251, 368, 1136)(267, 1035, 372, 1140, 489, 1257, 614, 1382, 494, 1262, 613, 1381, 488, 1256, 371, 1139)(275, 1043, 382, 1150, 498, 1266, 622, 1390, 720, 1488, 618, 1386, 492, 1260, 376, 1144)(293, 1061, 401, 1169, 522, 1290, 646, 1414, 594, 1362, 471, 1239, 519, 1287, 398, 1166)(296, 1064, 404, 1172, 527, 1295, 650, 1418, 732, 1500, 653, 1421, 528, 1296, 405, 1173)(303, 1071, 414, 1182, 535, 1303, 657, 1425, 617, 1385, 491, 1259, 374, 1142, 409, 1177)(307, 1075, 419, 1187, 539, 1307, 635, 1403, 511, 1279, 636, 1404, 540, 1308, 420, 1188)(312, 1080, 410, 1178, 377, 1145, 493, 1261, 619, 1387, 670, 1438, 546, 1314, 426, 1194)(318, 1086, 429, 1197, 549, 1317, 484, 1252, 609, 1377, 666, 1434, 542, 1310, 423, 1191)(321, 1089, 425, 1193, 545, 1313, 668, 1436, 593, 1361, 680, 1448, 554, 1322, 432, 1200)(343, 1111, 457, 1225, 584, 1352, 651, 1419, 529, 1297, 412, 1180, 533, 1301, 454, 1222)(346, 1114, 460, 1228, 587, 1355, 704, 1472, 723, 1491, 662, 1430, 543, 1311, 461, 1229)(349, 1117, 465, 1233, 589, 1357, 696, 1464, 576, 1344, 697, 1465, 590, 1358, 466, 1234)(357, 1125, 473, 1241, 595, 1363, 708, 1476, 724, 1492, 661, 1429, 538, 1306, 468, 1236)(380, 1148, 495, 1263, 574, 1342, 448, 1216, 575, 1343, 695, 1463, 620, 1388, 496, 1264)(383, 1151, 500, 1268, 624, 1392, 638, 1406, 512, 1280, 637, 1405, 623, 1391, 499, 1267)(387, 1155, 505, 1273, 627, 1395, 721, 1489, 741, 1509, 665, 1433, 626, 1394, 503, 1271)(391, 1159, 510, 1278, 634, 1402, 722, 1490, 684, 1452, 562, 1330, 632, 1400, 508, 1276)(394, 1162, 513, 1281, 639, 1407, 604, 1372, 713, 1481, 725, 1493, 640, 1408, 514, 1282)(403, 1171, 525, 1293, 648, 1416, 628, 1396, 506, 1274, 629, 1397, 649, 1417, 526, 1294)(415, 1183, 531, 1299, 654, 1422, 734, 1502, 683, 1451, 738, 1506, 659, 1427, 536, 1304)(434, 1202, 556, 1324, 455, 1223, 582, 1350, 701, 1469, 730, 1498, 652, 1420, 557, 1325)(441, 1209, 564, 1332, 487, 1255, 612, 1380, 718, 1486, 729, 1497, 647, 1415, 559, 1327)(451, 1219, 578, 1346, 660, 1428, 739, 1507, 762, 1530, 757, 1525, 700, 1468, 579, 1347)(459, 1227, 585, 1353, 667, 1435, 742, 1510, 692, 1460, 753, 1521, 703, 1471, 586, 1354)(464, 1232, 558, 1326, 469, 1237, 560, 1328, 663, 1431, 731, 1499, 705, 1473, 588, 1356)(474, 1242, 597, 1365, 669, 1437, 743, 1511, 693, 1461, 754, 1522, 709, 1477, 596, 1364)(478, 1246, 602, 1370, 658, 1426, 737, 1505, 761, 1529, 759, 1527, 710, 1478, 600, 1368)(490, 1258, 615, 1383, 719, 1487, 760, 1528, 714, 1482, 748, 1516, 674, 1442, 616, 1384)(521, 1289, 643, 1411, 569, 1337, 691, 1459, 740, 1508, 764, 1532, 727, 1495, 645, 1413)(553, 1321, 678, 1446, 728, 1496, 765, 1533, 756, 1524, 706, 1474, 591, 1359, 679, 1447)(555, 1323, 681, 1449, 733, 1501, 767, 1535, 746, 1514, 716, 1484, 607, 1375, 682, 1450)(565, 1333, 686, 1454, 735, 1503, 768, 1536, 747, 1515, 717, 1485, 611, 1379, 685, 1453)(567, 1335, 689, 1457, 726, 1494, 763, 1531, 758, 1526, 702, 1470, 583, 1351, 688, 1456)(572, 1340, 633, 1401, 625, 1393, 671, 1439, 745, 1513, 766, 1534, 755, 1523, 694, 1462)(577, 1345, 698, 1466, 736, 1504, 711, 1479, 603, 1371, 712, 1480, 744, 1512, 699, 1467)(677, 1445, 749, 1517, 707, 1475, 751, 1519, 690, 1458, 752, 1520, 715, 1483, 750, 1518)(1537, 2305)(1538, 2306)(1539, 2307)(1540, 2308)(1541, 2309)(1542, 2310)(1543, 2311)(1544, 2312)(1545, 2313)(1546, 2314)(1547, 2315)(1548, 2316)(1549, 2317)(1550, 2318)(1551, 2319)(1552, 2320)(1553, 2321)(1554, 2322)(1555, 2323)(1556, 2324)(1557, 2325)(1558, 2326)(1559, 2327)(1560, 2328)(1561, 2329)(1562, 2330)(1563, 2331)(1564, 2332)(1565, 2333)(1566, 2334)(1567, 2335)(1568, 2336)(1569, 2337)(1570, 2338)(1571, 2339)(1572, 2340)(1573, 2341)(1574, 2342)(1575, 2343)(1576, 2344)(1577, 2345)(1578, 2346)(1579, 2347)(1580, 2348)(1581, 2349)(1582, 2350)(1583, 2351)(1584, 2352)(1585, 2353)(1586, 2354)(1587, 2355)(1588, 2356)(1589, 2357)(1590, 2358)(1591, 2359)(1592, 2360)(1593, 2361)(1594, 2362)(1595, 2363)(1596, 2364)(1597, 2365)(1598, 2366)(1599, 2367)(1600, 2368)(1601, 2369)(1602, 2370)(1603, 2371)(1604, 2372)(1605, 2373)(1606, 2374)(1607, 2375)(1608, 2376)(1609, 2377)(1610, 2378)(1611, 2379)(1612, 2380)(1613, 2381)(1614, 2382)(1615, 2383)(1616, 2384)(1617, 2385)(1618, 2386)(1619, 2387)(1620, 2388)(1621, 2389)(1622, 2390)(1623, 2391)(1624, 2392)(1625, 2393)(1626, 2394)(1627, 2395)(1628, 2396)(1629, 2397)(1630, 2398)(1631, 2399)(1632, 2400)(1633, 2401)(1634, 2402)(1635, 2403)(1636, 2404)(1637, 2405)(1638, 2406)(1639, 2407)(1640, 2408)(1641, 2409)(1642, 2410)(1643, 2411)(1644, 2412)(1645, 2413)(1646, 2414)(1647, 2415)(1648, 2416)(1649, 2417)(1650, 2418)(1651, 2419)(1652, 2420)(1653, 2421)(1654, 2422)(1655, 2423)(1656, 2424)(1657, 2425)(1658, 2426)(1659, 2427)(1660, 2428)(1661, 2429)(1662, 2430)(1663, 2431)(1664, 2432)(1665, 2433)(1666, 2434)(1667, 2435)(1668, 2436)(1669, 2437)(1670, 2438)(1671, 2439)(1672, 2440)(1673, 2441)(1674, 2442)(1675, 2443)(1676, 2444)(1677, 2445)(1678, 2446)(1679, 2447)(1680, 2448)(1681, 2449)(1682, 2450)(1683, 2451)(1684, 2452)(1685, 2453)(1686, 2454)(1687, 2455)(1688, 2456)(1689, 2457)(1690, 2458)(1691, 2459)(1692, 2460)(1693, 2461)(1694, 2462)(1695, 2463)(1696, 2464)(1697, 2465)(1698, 2466)(1699, 2467)(1700, 2468)(1701, 2469)(1702, 2470)(1703, 2471)(1704, 2472)(1705, 2473)(1706, 2474)(1707, 2475)(1708, 2476)(1709, 2477)(1710, 2478)(1711, 2479)(1712, 2480)(1713, 2481)(1714, 2482)(1715, 2483)(1716, 2484)(1717, 2485)(1718, 2486)(1719, 2487)(1720, 2488)(1721, 2489)(1722, 2490)(1723, 2491)(1724, 2492)(1725, 2493)(1726, 2494)(1727, 2495)(1728, 2496)(1729, 2497)(1730, 2498)(1731, 2499)(1732, 2500)(1733, 2501)(1734, 2502)(1735, 2503)(1736, 2504)(1737, 2505)(1738, 2506)(1739, 2507)(1740, 2508)(1741, 2509)(1742, 2510)(1743, 2511)(1744, 2512)(1745, 2513)(1746, 2514)(1747, 2515)(1748, 2516)(1749, 2517)(1750, 2518)(1751, 2519)(1752, 2520)(1753, 2521)(1754, 2522)(1755, 2523)(1756, 2524)(1757, 2525)(1758, 2526)(1759, 2527)(1760, 2528)(1761, 2529)(1762, 2530)(1763, 2531)(1764, 2532)(1765, 2533)(1766, 2534)(1767, 2535)(1768, 2536)(1769, 2537)(1770, 2538)(1771, 2539)(1772, 2540)(1773, 2541)(1774, 2542)(1775, 2543)(1776, 2544)(1777, 2545)(1778, 2546)(1779, 2547)(1780, 2548)(1781, 2549)(1782, 2550)(1783, 2551)(1784, 2552)(1785, 2553)(1786, 2554)(1787, 2555)(1788, 2556)(1789, 2557)(1790, 2558)(1791, 2559)(1792, 2560)(1793, 2561)(1794, 2562)(1795, 2563)(1796, 2564)(1797, 2565)(1798, 2566)(1799, 2567)(1800, 2568)(1801, 2569)(1802, 2570)(1803, 2571)(1804, 2572)(1805, 2573)(1806, 2574)(1807, 2575)(1808, 2576)(1809, 2577)(1810, 2578)(1811, 2579)(1812, 2580)(1813, 2581)(1814, 2582)(1815, 2583)(1816, 2584)(1817, 2585)(1818, 2586)(1819, 2587)(1820, 2588)(1821, 2589)(1822, 2590)(1823, 2591)(1824, 2592)(1825, 2593)(1826, 2594)(1827, 2595)(1828, 2596)(1829, 2597)(1830, 2598)(1831, 2599)(1832, 2600)(1833, 2601)(1834, 2602)(1835, 2603)(1836, 2604)(1837, 2605)(1838, 2606)(1839, 2607)(1840, 2608)(1841, 2609)(1842, 2610)(1843, 2611)(1844, 2612)(1845, 2613)(1846, 2614)(1847, 2615)(1848, 2616)(1849, 2617)(1850, 2618)(1851, 2619)(1852, 2620)(1853, 2621)(1854, 2622)(1855, 2623)(1856, 2624)(1857, 2625)(1858, 2626)(1859, 2627)(1860, 2628)(1861, 2629)(1862, 2630)(1863, 2631)(1864, 2632)(1865, 2633)(1866, 2634)(1867, 2635)(1868, 2636)(1869, 2637)(1870, 2638)(1871, 2639)(1872, 2640)(1873, 2641)(1874, 2642)(1875, 2643)(1876, 2644)(1877, 2645)(1878, 2646)(1879, 2647)(1880, 2648)(1881, 2649)(1882, 2650)(1883, 2651)(1884, 2652)(1885, 2653)(1886, 2654)(1887, 2655)(1888, 2656)(1889, 2657)(1890, 2658)(1891, 2659)(1892, 2660)(1893, 2661)(1894, 2662)(1895, 2663)(1896, 2664)(1897, 2665)(1898, 2666)(1899, 2667)(1900, 2668)(1901, 2669)(1902, 2670)(1903, 2671)(1904, 2672)(1905, 2673)(1906, 2674)(1907, 2675)(1908, 2676)(1909, 2677)(1910, 2678)(1911, 2679)(1912, 2680)(1913, 2681)(1914, 2682)(1915, 2683)(1916, 2684)(1917, 2685)(1918, 2686)(1919, 2687)(1920, 2688)(1921, 2689)(1922, 2690)(1923, 2691)(1924, 2692)(1925, 2693)(1926, 2694)(1927, 2695)(1928, 2696)(1929, 2697)(1930, 2698)(1931, 2699)(1932, 2700)(1933, 2701)(1934, 2702)(1935, 2703)(1936, 2704)(1937, 2705)(1938, 2706)(1939, 2707)(1940, 2708)(1941, 2709)(1942, 2710)(1943, 2711)(1944, 2712)(1945, 2713)(1946, 2714)(1947, 2715)(1948, 2716)(1949, 2717)(1950, 2718)(1951, 2719)(1952, 2720)(1953, 2721)(1954, 2722)(1955, 2723)(1956, 2724)(1957, 2725)(1958, 2726)(1959, 2727)(1960, 2728)(1961, 2729)(1962, 2730)(1963, 2731)(1964, 2732)(1965, 2733)(1966, 2734)(1967, 2735)(1968, 2736)(1969, 2737)(1970, 2738)(1971, 2739)(1972, 2740)(1973, 2741)(1974, 2742)(1975, 2743)(1976, 2744)(1977, 2745)(1978, 2746)(1979, 2747)(1980, 2748)(1981, 2749)(1982, 2750)(1983, 2751)(1984, 2752)(1985, 2753)(1986, 2754)(1987, 2755)(1988, 2756)(1989, 2757)(1990, 2758)(1991, 2759)(1992, 2760)(1993, 2761)(1994, 2762)(1995, 2763)(1996, 2764)(1997, 2765)(1998, 2766)(1999, 2767)(2000, 2768)(2001, 2769)(2002, 2770)(2003, 2771)(2004, 2772)(2005, 2773)(2006, 2774)(2007, 2775)(2008, 2776)(2009, 2777)(2010, 2778)(2011, 2779)(2012, 2780)(2013, 2781)(2014, 2782)(2015, 2783)(2016, 2784)(2017, 2785)(2018, 2786)(2019, 2787)(2020, 2788)(2021, 2789)(2022, 2790)(2023, 2791)(2024, 2792)(2025, 2793)(2026, 2794)(2027, 2795)(2028, 2796)(2029, 2797)(2030, 2798)(2031, 2799)(2032, 2800)(2033, 2801)(2034, 2802)(2035, 2803)(2036, 2804)(2037, 2805)(2038, 2806)(2039, 2807)(2040, 2808)(2041, 2809)(2042, 2810)(2043, 2811)(2044, 2812)(2045, 2813)(2046, 2814)(2047, 2815)(2048, 2816)(2049, 2817)(2050, 2818)(2051, 2819)(2052, 2820)(2053, 2821)(2054, 2822)(2055, 2823)(2056, 2824)(2057, 2825)(2058, 2826)(2059, 2827)(2060, 2828)(2061, 2829)(2062, 2830)(2063, 2831)(2064, 2832)(2065, 2833)(2066, 2834)(2067, 2835)(2068, 2836)(2069, 2837)(2070, 2838)(2071, 2839)(2072, 2840)(2073, 2841)(2074, 2842)(2075, 2843)(2076, 2844)(2077, 2845)(2078, 2846)(2079, 2847)(2080, 2848)(2081, 2849)(2082, 2850)(2083, 2851)(2084, 2852)(2085, 2853)(2086, 2854)(2087, 2855)(2088, 2856)(2089, 2857)(2090, 2858)(2091, 2859)(2092, 2860)(2093, 2861)(2094, 2862)(2095, 2863)(2096, 2864)(2097, 2865)(2098, 2866)(2099, 2867)(2100, 2868)(2101, 2869)(2102, 2870)(2103, 2871)(2104, 2872)(2105, 2873)(2106, 2874)(2107, 2875)(2108, 2876)(2109, 2877)(2110, 2878)(2111, 2879)(2112, 2880)(2113, 2881)(2114, 2882)(2115, 2883)(2116, 2884)(2117, 2885)(2118, 2886)(2119, 2887)(2120, 2888)(2121, 2889)(2122, 2890)(2123, 2891)(2124, 2892)(2125, 2893)(2126, 2894)(2127, 2895)(2128, 2896)(2129, 2897)(2130, 2898)(2131, 2899)(2132, 2900)(2133, 2901)(2134, 2902)(2135, 2903)(2136, 2904)(2137, 2905)(2138, 2906)(2139, 2907)(2140, 2908)(2141, 2909)(2142, 2910)(2143, 2911)(2144, 2912)(2145, 2913)(2146, 2914)(2147, 2915)(2148, 2916)(2149, 2917)(2150, 2918)(2151, 2919)(2152, 2920)(2153, 2921)(2154, 2922)(2155, 2923)(2156, 2924)(2157, 2925)(2158, 2926)(2159, 2927)(2160, 2928)(2161, 2929)(2162, 2930)(2163, 2931)(2164, 2932)(2165, 2933)(2166, 2934)(2167, 2935)(2168, 2936)(2169, 2937)(2170, 2938)(2171, 2939)(2172, 2940)(2173, 2941)(2174, 2942)(2175, 2943)(2176, 2944)(2177, 2945)(2178, 2946)(2179, 2947)(2180, 2948)(2181, 2949)(2182, 2950)(2183, 2951)(2184, 2952)(2185, 2953)(2186, 2954)(2187, 2955)(2188, 2956)(2189, 2957)(2190, 2958)(2191, 2959)(2192, 2960)(2193, 2961)(2194, 2962)(2195, 2963)(2196, 2964)(2197, 2965)(2198, 2966)(2199, 2967)(2200, 2968)(2201, 2969)(2202, 2970)(2203, 2971)(2204, 2972)(2205, 2973)(2206, 2974)(2207, 2975)(2208, 2976)(2209, 2977)(2210, 2978)(2211, 2979)(2212, 2980)(2213, 2981)(2214, 2982)(2215, 2983)(2216, 2984)(2217, 2985)(2218, 2986)(2219, 2987)(2220, 2988)(2221, 2989)(2222, 2990)(2223, 2991)(2224, 2992)(2225, 2993)(2226, 2994)(2227, 2995)(2228, 2996)(2229, 2997)(2230, 2998)(2231, 2999)(2232, 3000)(2233, 3001)(2234, 3002)(2235, 3003)(2236, 3004)(2237, 3005)(2238, 3006)(2239, 3007)(2240, 3008)(2241, 3009)(2242, 3010)(2243, 3011)(2244, 3012)(2245, 3013)(2246, 3014)(2247, 3015)(2248, 3016)(2249, 3017)(2250, 3018)(2251, 3019)(2252, 3020)(2253, 3021)(2254, 3022)(2255, 3023)(2256, 3024)(2257, 3025)(2258, 3026)(2259, 3027)(2260, 3028)(2261, 3029)(2262, 3030)(2263, 3031)(2264, 3032)(2265, 3033)(2266, 3034)(2267, 3035)(2268, 3036)(2269, 3037)(2270, 3038)(2271, 3039)(2272, 3040)(2273, 3041)(2274, 3042)(2275, 3043)(2276, 3044)(2277, 3045)(2278, 3046)(2279, 3047)(2280, 3048)(2281, 3049)(2282, 3050)(2283, 3051)(2284, 3052)(2285, 3053)(2286, 3054)(2287, 3055)(2288, 3056)(2289, 3057)(2290, 3058)(2291, 3059)(2292, 3060)(2293, 3061)(2294, 3062)(2295, 3063)(2296, 3064)(2297, 3065)(2298, 3066)(2299, 3067)(2300, 3068)(2301, 3069)(2302, 3070)(2303, 3071)(2304, 3072)
	L = (1, 1539)(2, 1542)(3, 1537)(4, 1545)(5, 1548)(6, 1538)(7, 1552)(8, 1549)(9, 1540)(10, 1555)(11, 1558)(12, 1541)(13, 1544)(14, 1559)(15, 1564)(16, 1543)(17, 1566)(18, 1569)(19, 1546)(20, 1571)(21, 1572)(22, 1547)(23, 1550)(24, 1573)(25, 1578)(26, 1579)(27, 1582)(28, 1551)(29, 1583)(30, 1553)(31, 1587)(32, 1589)(33, 1554)(34, 1592)(35, 1556)(36, 1557)(37, 1560)(38, 1594)(39, 1599)(40, 1600)(41, 1603)(42, 1561)(43, 1562)(44, 1606)(45, 1607)(46, 1563)(47, 1565)(48, 1608)(49, 1612)(50, 1615)(51, 1567)(52, 1617)(53, 1568)(54, 1618)(55, 1622)(56, 1570)(57, 1595)(58, 1574)(59, 1593)(60, 1628)(61, 1629)(62, 1632)(63, 1575)(64, 1576)(65, 1635)(66, 1636)(67, 1577)(68, 1637)(69, 1641)(70, 1580)(71, 1581)(72, 1584)(73, 1643)(74, 1648)(75, 1649)(76, 1585)(77, 1652)(78, 1654)(79, 1586)(80, 1644)(81, 1588)(82, 1590)(83, 1657)(84, 1661)(85, 1663)(86, 1591)(87, 1664)(88, 1668)(89, 1670)(90, 1671)(91, 1674)(92, 1596)(93, 1597)(94, 1677)(95, 1678)(96, 1598)(97, 1679)(98, 1683)(99, 1601)(100, 1602)(101, 1604)(102, 1685)(103, 1689)(104, 1692)(105, 1605)(106, 1686)(107, 1609)(108, 1616)(109, 1698)(110, 1699)(111, 1702)(112, 1610)(113, 1611)(114, 1705)(115, 1707)(116, 1613)(117, 1709)(118, 1614)(119, 1710)(120, 1714)(121, 1619)(122, 1708)(123, 1718)(124, 1719)(125, 1620)(126, 1722)(127, 1621)(128, 1623)(129, 1723)(130, 1727)(131, 1729)(132, 1624)(133, 1732)(134, 1625)(135, 1626)(136, 1735)(137, 1736)(138, 1627)(139, 1737)(140, 1741)(141, 1630)(142, 1631)(143, 1633)(144, 1743)(145, 1747)(146, 1750)(147, 1634)(148, 1744)(149, 1638)(150, 1642)(151, 1756)(152, 1757)(153, 1639)(154, 1760)(155, 1761)(156, 1640)(157, 1762)(158, 1766)(159, 1768)(160, 1769)(161, 1772)(162, 1645)(163, 1646)(164, 1775)(165, 1776)(166, 1647)(167, 1777)(168, 1781)(169, 1650)(170, 1784)(171, 1651)(172, 1658)(173, 1653)(174, 1655)(175, 1787)(176, 1791)(177, 1793)(178, 1656)(179, 1796)(180, 1797)(181, 1800)(182, 1659)(183, 1660)(184, 1803)(185, 1805)(186, 1662)(187, 1665)(188, 1806)(189, 1810)(190, 1811)(191, 1666)(192, 1814)(193, 1667)(194, 1815)(195, 1818)(196, 1669)(197, 1819)(198, 1823)(199, 1672)(200, 1673)(201, 1675)(202, 1825)(203, 1829)(204, 1832)(205, 1676)(206, 1826)(207, 1680)(208, 1684)(209, 1838)(210, 1839)(211, 1681)(212, 1842)(213, 1843)(214, 1682)(215, 1844)(216, 1848)(217, 1850)(218, 1851)(219, 1854)(220, 1687)(221, 1688)(222, 1857)(223, 1859)(224, 1690)(225, 1691)(226, 1693)(227, 1861)(228, 1865)(229, 1867)(230, 1694)(231, 1824)(232, 1695)(233, 1696)(234, 1820)(235, 1866)(236, 1697)(237, 1871)(238, 1874)(239, 1700)(240, 1701)(241, 1703)(242, 1875)(243, 1879)(244, 1882)(245, 1704)(246, 1876)(247, 1885)(248, 1706)(249, 1886)(250, 1888)(251, 1711)(252, 1860)(253, 1892)(254, 1893)(255, 1712)(256, 1896)(257, 1713)(258, 1897)(259, 1895)(260, 1715)(261, 1716)(262, 1898)(263, 1902)(264, 1717)(265, 1903)(266, 1907)(267, 1720)(268, 1910)(269, 1721)(270, 1724)(271, 1912)(272, 1913)(273, 1916)(274, 1725)(275, 1726)(276, 1919)(277, 1849)(278, 1728)(279, 1730)(280, 1852)(281, 1923)(282, 1731)(283, 1733)(284, 1770)(285, 1927)(286, 1930)(287, 1734)(288, 1767)(289, 1738)(290, 1742)(291, 1934)(292, 1935)(293, 1739)(294, 1938)(295, 1939)(296, 1740)(297, 1940)(298, 1944)(299, 1945)(300, 1946)(301, 1948)(302, 1745)(303, 1746)(304, 1951)(305, 1953)(306, 1748)(307, 1749)(308, 1751)(309, 1955)(310, 1959)(311, 1961)(312, 1752)(313, 1813)(314, 1753)(315, 1754)(316, 1816)(317, 1960)(318, 1755)(319, 1965)(320, 1968)(321, 1758)(322, 1970)(323, 1759)(324, 1788)(325, 1763)(326, 1954)(327, 1976)(328, 1977)(329, 1764)(330, 1771)(331, 1765)(332, 1979)(333, 1932)(334, 1926)(335, 1773)(336, 1984)(337, 1987)(338, 1774)(339, 1778)(340, 1782)(341, 1990)(342, 1991)(343, 1779)(344, 1994)(345, 1995)(346, 1780)(347, 1996)(348, 2000)(349, 1783)(350, 1785)(351, 2001)(352, 1786)(353, 2004)(354, 2005)(355, 2007)(356, 1789)(357, 1790)(358, 2010)(359, 1795)(360, 1792)(361, 1794)(362, 1798)(363, 2014)(364, 2011)(365, 2013)(366, 1799)(367, 1801)(368, 1998)(369, 2020)(370, 2023)(371, 1802)(372, 1999)(373, 2026)(374, 1804)(375, 1993)(376, 1807)(377, 1808)(378, 2002)(379, 2030)(380, 1809)(381, 2031)(382, 2035)(383, 1812)(384, 1963)(385, 2039)(386, 1964)(387, 1817)(388, 2042)(389, 2044)(390, 1870)(391, 1821)(392, 2047)(393, 2048)(394, 1822)(395, 2049)(396, 1869)(397, 2054)(398, 1827)(399, 1828)(400, 2057)(401, 2059)(402, 1830)(403, 1831)(404, 1833)(405, 2061)(406, 2065)(407, 2067)(408, 1834)(409, 1835)(410, 1836)(411, 2066)(412, 1837)(413, 2069)(414, 2072)(415, 1840)(416, 2074)(417, 1841)(418, 1862)(419, 1845)(420, 2060)(421, 2078)(422, 2079)(423, 1846)(424, 1853)(425, 1847)(426, 2081)(427, 1920)(428, 1922)(429, 1855)(430, 2086)(431, 2089)(432, 1856)(433, 2091)(434, 1858)(435, 2092)(436, 2094)(437, 2095)(438, 2096)(439, 2098)(440, 1863)(441, 1864)(442, 2101)(443, 1868)(444, 2103)(445, 2105)(446, 2108)(447, 2110)(448, 1872)(449, 2112)(450, 2113)(451, 1873)(452, 2114)(453, 2070)(454, 1877)(455, 1878)(456, 2119)(457, 1911)(458, 1880)(459, 1881)(460, 1883)(461, 2121)(462, 1904)(463, 1908)(464, 1884)(465, 1887)(466, 1914)(467, 2127)(468, 1889)(469, 1890)(470, 2129)(471, 1891)(472, 2055)(473, 2132)(474, 1894)(475, 1900)(476, 2136)(477, 1901)(478, 1899)(479, 2139)(480, 2140)(481, 2143)(482, 2085)(483, 2123)(484, 1905)(485, 2146)(486, 2147)(487, 1906)(488, 2148)(489, 2124)(490, 1909)(491, 2151)(492, 2120)(493, 2126)(494, 1915)(495, 1917)(496, 2149)(497, 2109)(498, 2131)(499, 1918)(500, 2150)(501, 2161)(502, 2145)(503, 1921)(504, 2152)(505, 2164)(506, 1924)(507, 2167)(508, 1925)(509, 2169)(510, 2171)(511, 1928)(512, 1929)(513, 1931)(514, 2173)(515, 2177)(516, 2179)(517, 2178)(518, 1933)(519, 2008)(520, 2181)(521, 1936)(522, 2183)(523, 1937)(524, 1956)(525, 1941)(526, 2172)(527, 2187)(528, 2188)(529, 1942)(530, 1947)(531, 1943)(532, 2190)(533, 1949)(534, 1989)(535, 2194)(536, 1950)(537, 2196)(538, 1952)(539, 2198)(540, 2199)(541, 2201)(542, 1957)(543, 1958)(544, 2203)(545, 1962)(546, 2205)(547, 2207)(548, 2210)(549, 2018)(550, 1966)(551, 2212)(552, 2213)(553, 1967)(554, 2214)(555, 1969)(556, 1971)(557, 2217)(558, 1972)(559, 1973)(560, 1974)(561, 2219)(562, 1975)(563, 2168)(564, 2221)(565, 1978)(566, 2224)(567, 1980)(568, 2226)(569, 1981)(570, 2228)(571, 2229)(572, 1982)(573, 2033)(574, 1983)(575, 2232)(576, 1985)(577, 1986)(578, 1988)(579, 2234)(580, 2192)(581, 2223)(582, 2238)(583, 1992)(584, 2028)(585, 1997)(586, 2233)(587, 2019)(588, 2025)(589, 2242)(590, 2029)(591, 2003)(592, 2243)(593, 2006)(594, 2216)(595, 2034)(596, 2009)(597, 2204)(598, 2175)(599, 2211)(600, 2012)(601, 2218)(602, 2247)(603, 2015)(604, 2016)(605, 2250)(606, 2251)(607, 2017)(608, 2246)(609, 2038)(610, 2021)(611, 2022)(612, 2024)(613, 2032)(614, 2036)(615, 2027)(616, 2040)(617, 2236)(618, 2186)(619, 2239)(620, 2254)(621, 2166)(622, 2245)(623, 2244)(624, 2241)(625, 2037)(626, 2202)(627, 2237)(628, 2041)(629, 2174)(630, 2157)(631, 2043)(632, 2099)(633, 2045)(634, 2259)(635, 2046)(636, 2062)(637, 2050)(638, 2165)(639, 2134)(640, 2260)(641, 2051)(642, 2053)(643, 2052)(644, 2262)(645, 2056)(646, 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	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 E17.2378
Graph:: simple bipartite
	v = 864 e = 1536 f = 640
	degree seq :: [ 2^768, 16^96 ]

E17.2382 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ Y1^2, R^2, Y3^-1 * Y1, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, (Y1 * Y2^-1)^3, (Y3 * Y2^-1)^3, Y2^8, Y2^-1 * Y1 * Y2^3 * Y1 * Y2^-4 * Y1 * Y2^4 * Y1 * Y2^3 * Y1, Y2^4 * Y1 * Y2^-3 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^2 * Y1 * Y2^-3 * Y1, (Y2^3 * Y1)^6, (Y2^-1 * Y1 * Y2^2 * Y1 * Y2^-1)^4 ]
Map::
	R = (1, 769, 2, 770)(3, 771, 7, 775)(4, 772, 9, 777)(5, 773, 11, 779)(6, 774, 13, 781)(8, 776, 16, 784)(10, 778, 19, 787)(12, 780, 22, 790)(14, 782, 25, 793)(15, 783, 27, 795)(17, 785, 30, 798)(18, 786, 32, 800)(20, 788, 35, 803)(21, 789, 36, 804)(23, 791, 39, 807)(24, 792, 41, 809)(26, 794, 44, 812)(28, 796, 46, 814)(29, 797, 48, 816)(31, 799, 51, 819)(33, 801, 53, 821)(34, 802, 55, 823)(37, 805, 59, 827)(38, 806, 61, 829)(40, 808, 64, 832)(42, 810, 66, 834)(43, 811, 68, 836)(45, 813, 71, 839)(47, 815, 74, 842)(49, 817, 76, 844)(50, 818, 78, 846)(52, 820, 81, 849)(54, 822, 84, 852)(56, 824, 86, 854)(57, 825, 80, 848)(58, 826, 89, 857)(60, 828, 92, 860)(62, 830, 94, 862)(63, 831, 96, 864)(65, 833, 99, 867)(67, 835, 102, 870)(69, 837, 104, 872)(70, 838, 98, 866)(72, 840, 108, 876)(73, 841, 110, 878)(75, 843, 113, 881)(77, 845, 116, 884)(79, 847, 118, 886)(82, 850, 122, 890)(83, 851, 124, 892)(85, 853, 127, 895)(87, 855, 130, 898)(88, 856, 131, 899)(90, 858, 134, 902)(91, 859, 136, 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	L = (1, 1538)(2, 1537)(3, 1543)(4, 1545)(5, 1547)(6, 1549)(7, 1539)(8, 1552)(9, 1540)(10, 1555)(11, 1541)(12, 1558)(13, 1542)(14, 1561)(15, 1563)(16, 1544)(17, 1566)(18, 1568)(19, 1546)(20, 1571)(21, 1572)(22, 1548)(23, 1575)(24, 1577)(25, 1550)(26, 1580)(27, 1551)(28, 1582)(29, 1584)(30, 1553)(31, 1587)(32, 1554)(33, 1589)(34, 1591)(35, 1556)(36, 1557)(37, 1595)(38, 1597)(39, 1559)(40, 1600)(41, 1560)(42, 1602)(43, 1604)(44, 1562)(45, 1607)(46, 1564)(47, 1610)(48, 1565)(49, 1612)(50, 1614)(51, 1567)(52, 1617)(53, 1569)(54, 1620)(55, 1570)(56, 1622)(57, 1616)(58, 1625)(59, 1573)(60, 1628)(61, 1574)(62, 1630)(63, 1632)(64, 1576)(65, 1635)(66, 1578)(67, 1638)(68, 1579)(69, 1640)(70, 1634)(71, 1581)(72, 1644)(73, 1646)(74, 1583)(75, 1649)(76, 1585)(77, 1652)(78, 1586)(79, 1654)(80, 1593)(81, 1588)(82, 1658)(83, 1660)(84, 1590)(85, 1663)(86, 1592)(87, 1666)(88, 1667)(89, 1594)(90, 1670)(91, 1672)(92, 1596)(93, 1675)(94, 1598)(95, 1678)(96, 1599)(97, 1680)(98, 1606)(99, 1601)(100, 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1812)(192, 1800)(193, 1815)(194, 1668)(195, 1669)(196, 1819)(197, 1821)(198, 1671)(199, 1824)(200, 1673)(201, 1827)(202, 1828)(203, 1830)(204, 1676)(205, 1833)(206, 1677)(207, 1835)(208, 1823)(209, 1679)(210, 1839)(211, 1841)(212, 1681)(213, 1682)(214, 1845)(215, 1683)(216, 1847)(217, 1849)(218, 1685)(219, 1852)(220, 1687)(221, 1855)(222, 1856)(223, 1858)(224, 1690)(225, 1861)(226, 1691)(227, 1863)(228, 1851)(229, 1866)(230, 1694)(231, 1869)(232, 1696)(233, 1872)(234, 1697)(235, 1874)(236, 1708)(237, 1699)(238, 1832)(239, 1878)(240, 1701)(241, 1702)(242, 1843)(243, 1703)(244, 1883)(245, 1825)(246, 1705)(247, 1886)(248, 1707)(249, 1889)(250, 1890)(251, 1892)(252, 1710)(253, 1840)(254, 1711)(255, 1895)(256, 1829)(257, 1898)(258, 1714)(259, 1900)(260, 1716)(261, 1903)(262, 1717)(263, 1904)(264, 1728)(265, 1719)(266, 1860)(267, 1907)(268, 1721)(269, 1722)(270, 1868)(271, 1723)(272, 1912)(273, 1853)(274, 1725)(275, 1915)(276, 1727)(277, 1918)(278, 1919)(279, 1729)(280, 1922)(281, 1857)(282, 1925)(283, 1732)(284, 1928)(285, 1733)(286, 1930)(287, 1744)(288, 1735)(289, 1781)(290, 1934)(291, 1737)(292, 1738)(293, 1792)(294, 1739)(295, 1939)(296, 1774)(297, 1741)(298, 1942)(299, 1743)(300, 1945)(301, 1946)(302, 1948)(303, 1746)(304, 1789)(305, 1747)(306, 1951)(307, 1778)(308, 1954)(309, 1750)(310, 1956)(311, 1752)(312, 1959)(313, 1753)(314, 1960)(315, 1764)(316, 1755)(317, 1809)(318, 1963)(319, 1757)(320, 1758)(321, 1817)(322, 1759)(323, 1968)(324, 1802)(325, 1761)(326, 1971)(327, 1763)(328, 1974)(329, 1975)(330, 1765)(331, 1978)(332, 1806)(333, 1767)(334, 1982)(335, 1972)(336, 1769)(337, 1985)(338, 1771)(339, 1987)(340, 1988)(341, 1941)(342, 1775)(343, 1991)(344, 1976)(345, 1953)(346, 1995)(347, 1780)(348, 1998)(349, 1933)(350, 1783)(351, 1958)(352, 2001)(353, 1785)(354, 1786)(355, 1965)(356, 1787)(357, 2006)(358, 2008)(359, 1791)(360, 2011)(361, 1937)(362, 1793)(363, 2014)(364, 1795)(365, 2017)(366, 1943)(367, 1797)(368, 1799)(369, 2021)(370, 1970)(371, 1803)(372, 2024)(373, 1947)(374, 1980)(375, 2028)(376, 1808)(377, 2031)(378, 1962)(379, 1811)(380, 1927)(381, 2034)(382, 1813)(383, 1814)(384, 1936)(385, 2038)(386, 1816)(387, 2041)(388, 1966)(389, 1818)(390, 2044)(391, 1916)(392, 1820)(393, 2047)(394, 1822)(395, 2049)(396, 2050)(397, 1885)(398, 1826)(399, 2053)(400, 1920)(401, 1897)(402, 2057)(403, 1831)(404, 2060)(405, 1877)(406, 1834)(407, 1902)(408, 2063)(409, 1836)(410, 1837)(411, 1909)(412, 1838)(413, 2068)(414, 2070)(415, 1842)(416, 2073)(417, 1881)(418, 1844)(419, 2076)(420, 1846)(421, 2079)(422, 1887)(423, 1848)(424, 1850)(425, 2083)(426, 1914)(427, 1854)(428, 2086)(429, 1891)(430, 1924)(431, 2090)(432, 1859)(433, 2093)(434, 1906)(435, 1862)(436, 1871)(437, 2096)(438, 1864)(439, 1865)(440, 1880)(441, 2100)(442, 1867)(443, 2103)(444, 1910)(445, 2043)(446, 1870)(447, 2106)(448, 2095)(449, 1873)(450, 2108)(451, 1875)(452, 1876)(453, 2111)(454, 2113)(455, 1879)(456, 2116)(457, 2099)(458, 2118)(459, 1882)(460, 2091)(461, 2114)(462, 1884)(463, 2122)(464, 2081)(465, 1888)(466, 2064)(467, 2117)(468, 2088)(469, 2128)(470, 1893)(471, 2131)(472, 1894)(473, 2105)(474, 2133)(475, 1896)(476, 2110)(477, 2136)(478, 1899)(479, 2139)(480, 2078)(481, 1901)(482, 2141)(483, 2062)(484, 2143)(485, 1905)(486, 2146)(487, 2148)(488, 1908)(489, 2150)(490, 2066)(491, 2152)(492, 1911)(493, 2058)(494, 2149)(495, 1913)(496, 2156)(497, 2046)(498, 1917)(499, 2097)(500, 2151)(501, 2055)(502, 1921)(503, 2140)(504, 2163)(505, 1923)(506, 2145)(507, 1981)(508, 1926)(509, 2167)(510, 2033)(511, 1929)(512, 2169)(513, 1931)(514, 1932)(515, 2172)(516, 2174)(517, 1935)(518, 2177)(519, 2037)(520, 2179)(521, 1938)(522, 2029)(523, 2175)(524, 1940)(525, 2183)(526, 2019)(527, 1944)(528, 2002)(529, 2178)(530, 2026)(531, 2189)(532, 1949)(533, 2192)(534, 1950)(535, 2166)(536, 2194)(537, 1952)(538, 2171)(539, 2197)(540, 1955)(541, 2200)(542, 2016)(543, 1957)(544, 2202)(545, 2000)(546, 2204)(547, 1961)(548, 2207)(549, 2209)(550, 1964)(551, 2211)(552, 2004)(553, 2213)(554, 1967)(555, 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2262)(647, 2061)(648, 2267)(649, 2125)(650, 2124)(651, 2161)(652, 2160)(653, 2067)(654, 2120)(655, 2269)(656, 2069)(657, 2107)(658, 2072)(659, 2144)(660, 2270)(661, 2075)(662, 2154)(663, 2277)(664, 2077)(665, 2101)(666, 2080)(667, 2162)(668, 2082)(669, 2134)(670, 2104)(671, 2084)(672, 2282)(673, 2085)(674, 2092)(675, 2087)(676, 2098)(677, 2089)(678, 2286)(679, 2137)(680, 2283)(681, 2094)(682, 2273)(683, 2159)(684, 2158)(685, 2127)(686, 2126)(687, 2142)(688, 2102)(689, 2109)(690, 2279)(691, 2288)(692, 2274)(693, 2289)(694, 2112)(695, 2121)(696, 2115)(697, 2265)(698, 2264)(699, 2119)(700, 2123)(701, 2272)(702, 2130)(703, 2135)(704, 2276)(705, 2268)(706, 2157)(707, 2259)(708, 2280)(709, 2271)(710, 2138)(711, 2287)(712, 2165)(713, 2275)(714, 2296)(715, 2147)(716, 2155)(717, 2285)(718, 2284)(719, 2153)(720, 2278)(721, 2258)(722, 2257)(723, 2243)(724, 2297)(725, 2173)(726, 2182)(727, 2176)(728, 2234)(729, 2233)(730, 2180)(731, 2184)(732, 2241)(733, 2191)(734, 2196)(735, 2245)(736, 2237)(737, 2218)(738, 2228)(739, 2249)(740, 2240)(741, 2199)(742, 2256)(743, 2226)(744, 2244)(745, 2304)(746, 2208)(747, 2216)(748, 2254)(749, 2253)(750, 2214)(751, 2247)(752, 2227)(753, 2229)(754, 2301)(755, 2299)(756, 2300)(757, 2298)(758, 2303)(759, 2302)(760, 2250)(761, 2260)(762, 2293)(763, 2291)(764, 2292)(765, 2290)(766, 2295)(767, 2294)(768, 2281)(769, 2305)(770, 2306)(771, 2307)(772, 2308)(773, 2309)(774, 2310)(775, 2311)(776, 2312)(777, 2313)(778, 2314)(779, 2315)(780, 2316)(781, 2317)(782, 2318)(783, 2319)(784, 2320)(785, 2321)(786, 2322)(787, 2323)(788, 2324)(789, 2325)(790, 2326)(791, 2327)(792, 2328)(793, 2329)(794, 2330)(795, 2331)(796, 2332)(797, 2333)(798, 2334)(799, 2335)(800, 2336)(801, 2337)(802, 2338)(803, 2339)(804, 2340)(805, 2341)(806, 2342)(807, 2343)(808, 2344)(809, 2345)(810, 2346)(811, 2347)(812, 2348)(813, 2349)(814, 2350)(815, 2351)(816, 2352)(817, 2353)(818, 2354)(819, 2355)(820, 2356)(821, 2357)(822, 2358)(823, 2359)(824, 2360)(825, 2361)(826, 2362)(827, 2363)(828, 2364)(829, 2365)(830, 2366)(831, 2367)(832, 2368)(833, 2369)(834, 2370)(835, 2371)(836, 2372)(837, 2373)(838, 2374)(839, 2375)(840, 2376)(841, 2377)(842, 2378)(843, 2379)(844, 2380)(845, 2381)(846, 2382)(847, 2383)(848, 2384)(849, 2385)(850, 2386)(851, 2387)(852, 2388)(853, 2389)(854, 2390)(855, 2391)(856, 2392)(857, 2393)(858, 2394)(859, 2395)(860, 2396)(861, 2397)(862, 2398)(863, 2399)(864, 2400)(865, 2401)(866, 2402)(867, 2403)(868, 2404)(869, 2405)(870, 2406)(871, 2407)(872, 2408)(873, 2409)(874, 2410)(875, 2411)(876, 2412)(877, 2413)(878, 2414)(879, 2415)(880, 2416)(881, 2417)(882, 2418)(883, 2419)(884, 2420)(885, 2421)(886, 2422)(887, 2423)(888, 2424)(889, 2425)(890, 2426)(891, 2427)(892, 2428)(893, 2429)(894, 2430)(895, 2431)(896, 2432)(897, 2433)(898, 2434)(899, 2435)(900, 2436)(901, 2437)(902, 2438)(903, 2439)(904, 2440)(905, 2441)(906, 2442)(907, 2443)(908, 2444)(909, 2445)(910, 2446)(911, 2447)(912, 2448)(913, 2449)(914, 2450)(915, 2451)(916, 2452)(917, 2453)(918, 2454)(919, 2455)(920, 2456)(921, 2457)(922, 2458)(923, 2459)(924, 2460)(925, 2461)(926, 2462)(927, 2463)(928, 2464)(929, 2465)(930, 2466)(931, 2467)(932, 2468)(933, 2469)(934, 2470)(935, 2471)(936, 2472)(937, 2473)(938, 2474)(939, 2475)(940, 2476)(941, 2477)(942, 2478)(943, 2479)(944, 2480)(945, 2481)(946, 2482)(947, 2483)(948, 2484)(949, 2485)(950, 2486)(951, 2487)(952, 2488)(953, 2489)(954, 2490)(955, 2491)(956, 2492)(957, 2493)(958, 2494)(959, 2495)(960, 2496)(961, 2497)(962, 2498)(963, 2499)(964, 2500)(965, 2501)(966, 2502)(967, 2503)(968, 2504)(969, 2505)(970, 2506)(971, 2507)(972, 2508)(973, 2509)(974, 2510)(975, 2511)(976, 2512)(977, 2513)(978, 2514)(979, 2515)(980, 2516)(981, 2517)(982, 2518)(983, 2519)(984, 2520)(985, 2521)(986, 2522)(987, 2523)(988, 2524)(989, 2525)(990, 2526)(991, 2527)(992, 2528)(993, 2529)(994, 2530)(995, 2531)(996, 2532)(997, 2533)(998, 2534)(999, 2535)(1000, 2536)(1001, 2537)(1002, 2538)(1003, 2539)(1004, 2540)(1005, 2541)(1006, 2542)(1007, 2543)(1008, 2544)(1009, 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2877)(1342, 2878)(1343, 2879)(1344, 2880)(1345, 2881)(1346, 2882)(1347, 2883)(1348, 2884)(1349, 2885)(1350, 2886)(1351, 2887)(1352, 2888)(1353, 2889)(1354, 2890)(1355, 2891)(1356, 2892)(1357, 2893)(1358, 2894)(1359, 2895)(1360, 2896)(1361, 2897)(1362, 2898)(1363, 2899)(1364, 2900)(1365, 2901)(1366, 2902)(1367, 2903)(1368, 2904)(1369, 2905)(1370, 2906)(1371, 2907)(1372, 2908)(1373, 2909)(1374, 2910)(1375, 2911)(1376, 2912)(1377, 2913)(1378, 2914)(1379, 2915)(1380, 2916)(1381, 2917)(1382, 2918)(1383, 2919)(1384, 2920)(1385, 2921)(1386, 2922)(1387, 2923)(1388, 2924)(1389, 2925)(1390, 2926)(1391, 2927)(1392, 2928)(1393, 2929)(1394, 2930)(1395, 2931)(1396, 2932)(1397, 2933)(1398, 2934)(1399, 2935)(1400, 2936)(1401, 2937)(1402, 2938)(1403, 2939)(1404, 2940)(1405, 2941)(1406, 2942)(1407, 2943)(1408, 2944)(1409, 2945)(1410, 2946)(1411, 2947)(1412, 2948)(1413, 2949)(1414, 2950)(1415, 2951)(1416, 2952)(1417, 2953)(1418, 2954)(1419, 2955)(1420, 2956)(1421, 2957)(1422, 2958)(1423, 2959)(1424, 2960)(1425, 2961)(1426, 2962)(1427, 2963)(1428, 2964)(1429, 2965)(1430, 2966)(1431, 2967)(1432, 2968)(1433, 2969)(1434, 2970)(1435, 2971)(1436, 2972)(1437, 2973)(1438, 2974)(1439, 2975)(1440, 2976)(1441, 2977)(1442, 2978)(1443, 2979)(1444, 2980)(1445, 2981)(1446, 2982)(1447, 2983)(1448, 2984)(1449, 2985)(1450, 2986)(1451, 2987)(1452, 2988)(1453, 2989)(1454, 2990)(1455, 2991)(1456, 2992)(1457, 2993)(1458, 2994)(1459, 2995)(1460, 2996)(1461, 2997)(1462, 2998)(1463, 2999)(1464, 3000)(1465, 3001)(1466, 3002)(1467, 3003)(1468, 3004)(1469, 3005)(1470, 3006)(1471, 3007)(1472, 3008)(1473, 3009)(1474, 3010)(1475, 3011)(1476, 3012)(1477, 3013)(1478, 3014)(1479, 3015)(1480, 3016)(1481, 3017)(1482, 3018)(1483, 3019)(1484, 3020)(1485, 3021)(1486, 3022)(1487, 3023)(1488, 3024)(1489, 3025)(1490, 3026)(1491, 3027)(1492, 3028)(1493, 3029)(1494, 3030)(1495, 3031)(1496, 3032)(1497, 3033)(1498, 3034)(1499, 3035)(1500, 3036)(1501, 3037)(1502, 3038)(1503, 3039)(1504, 3040)(1505, 3041)(1506, 3042)(1507, 3043)(1508, 3044)(1509, 3045)(1510, 3046)(1511, 3047)(1512, 3048)(1513, 3049)(1514, 3050)(1515, 3051)(1516, 3052)(1517, 3053)(1518, 3054)(1519, 3055)(1520, 3056)(1521, 3057)(1522, 3058)(1523, 3059)(1524, 3060)(1525, 3061)(1526, 3062)(1527, 3063)(1528, 3064)(1529, 3065)(1530, 3066)(1531, 3067)(1532, 3068)(1533, 3069)(1534, 3070)(1535, 3071)(1536, 3072)
	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 E17.2383
Graph:: bipartite
	v = 480 e = 1536 f = 1024
	degree seq :: [ 4^384, 16^96 ]

E17.2383 :: Family: { 3 } :: Oriented family(ies): { E5a }
Signature :: (0; {2, 3, 8})
Quotient :: dipole
Aut^+ = $<768, 1085341>$ (small group id <768, 1085341>)
Aut   = $<1536, -1>$ (small group id <1536, -1>)
|r| :: 2
Presentation :: [ Y2, R^2, Y1^3, (Y3 * Y1)^2, (R * Y1)^2, (R * Y3)^2, (R * Y2 * Y3^-1)^2, Y3^5 * Y1^-1 * Y3^-1 * Y1^-1 * Y3^2, (Y3^3 * Y1^-1)^4, (Y3 * Y2^-1)^8, (Y3^-2 * Y1)^6, Y3^-1 * Y1 * Y3 * Y1^-1 * Y3^-3 * Y1 * Y3^-2 * Y1 * Y3^-6 * Y1 * Y3^-2 * Y1 * Y3^-1, Y3 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-2 * Y1 * Y3^2 * Y1^-1 * Y3^-3 * Y1^-1 * Y3 * Y1^-1 * Y3^-3 * Y1^-1 ]
Map:: polytopal
	R = (1, 769, 2, 770, 4, 772)(3, 771, 8, 776, 10, 778)(5, 773, 12, 780, 6, 774)(7, 775, 15, 783, 11, 779)(9, 777, 18, 786, 20, 788)(13, 781, 25, 793, 23, 791)(14, 782, 24, 792, 28, 796)(16, 784, 31, 799, 29, 797)(17, 785, 33, 801, 21, 789)(19, 787, 36, 804, 38, 806)(22, 790, 30, 798, 42, 810)(26, 794, 47, 815, 45, 813)(27, 795, 48, 816, 50, 818)(32, 800, 56, 824, 54, 822)(34, 802, 59, 827, 57, 825)(35, 803, 61, 829, 39, 807)(37, 805, 64, 832, 65, 833)(40, 808, 58, 826, 69, 837)(41, 809, 70, 838, 71, 839)(43, 811, 46, 814, 74, 842)(44, 812, 75, 843, 51, 819)(49, 817, 81, 849, 82, 850)(52, 820, 55, 823, 86, 854)(53, 821, 87, 855, 72, 840)(60, 828, 96, 864, 94, 862)(62, 830, 99, 867, 97, 865)(63, 831, 101, 869, 66, 834)(67, 835, 98, 866, 107, 875)(68, 836, 108, 876, 109, 877)(73, 841, 114, 882, 116, 884)(76, 844, 120, 888, 118, 886)(77, 845, 79, 847, 122, 890)(78, 846, 123, 891, 117, 885)(80, 848, 126, 894, 83, 851)(84, 852, 119, 887, 132, 900)(85, 853, 133, 901, 135, 903)(88, 856, 139, 907, 137, 905)(89, 857, 91, 859, 141, 909)(90, 858, 142, 910, 136, 904)(92, 860, 95, 863, 146, 914)(93, 861, 147, 915, 110, 878)(100, 868, 156, 924, 154, 922)(102, 870, 159, 927, 157, 925)(103, 871, 161, 929, 104, 872)(105, 873, 158, 926, 165, 933)(106, 874, 166, 934, 167, 935)(111, 879, 172, 940, 112, 880)(113, 881, 138, 906, 176, 944)(115, 883, 178, 946, 179, 947)(121, 889, 185, 953, 187, 955)(124, 892, 191, 959, 189, 957)(125, 893, 192, 960, 188, 956)(127, 895, 196, 964, 194, 962)(128, 896, 198, 966, 129, 897)(130, 898, 195, 963, 202, 970)(131, 899, 203, 971, 204, 972)(134, 902, 207, 975, 208, 976)(140, 908, 214, 982, 216, 984)(143, 911, 220, 988, 218, 986)(144, 912, 221, 989, 217, 985)(145, 913, 223, 991, 225, 993)(148, 916, 229, 997, 227, 995)(149, 917, 151, 919, 231, 999)(150, 918, 232, 1000, 226, 994)(152, 920, 155, 923, 236, 1004)(153, 921, 237, 1005, 168, 936)(160, 928, 246, 1014, 244, 1012)(162, 930, 249, 1017, 247, 1015)(163, 931, 248, 1016, 252, 1020)(164, 932, 253, 1021, 222, 990)(169, 937, 258, 1026, 170, 938)(171, 939, 228, 996, 262, 1030)(173, 941, 265, 1033, 263, 1031)(174, 942, 264, 1032, 268, 1036)(175, 943, 269, 1037, 270, 1038)(177, 945, 272, 1040, 180, 948)(181, 949, 190, 958, 278, 1046)(182, 950, 184, 952, 280, 1048)(183, 951, 281, 1049, 205, 973)(186, 954, 284, 1052, 285, 1053)(193, 961, 267, 1035, 290, 1058)(197, 965, 296, 1064, 294, 1062)(199, 967, 299, 1067, 297, 1065)(200, 968, 298, 1066, 302, 1070)(201, 969, 303, 1071, 233, 1001)(206, 974, 308, 1076, 209, 977)(210, 978, 219, 987, 314, 1082)(211, 979, 213, 981, 316, 1084)(212, 980, 317, 1085, 271, 1039)(215, 983, 320, 1088, 321, 1089)(224, 992, 328, 1096, 329, 1097)(230, 998, 334, 1102, 336, 1104)(234, 1002, 339, 1107, 337, 1105)(235, 1003, 341, 1109, 343, 1111)(238, 1006, 347, 1115, 345, 1113)(239, 1007, 241, 1009, 349, 1117)(240, 1008, 350, 1118, 344, 1112)(242, 1010, 245, 1013, 353, 1121)(243, 1011, 354, 1122, 254, 1022)(250, 1018, 301, 1069, 361, 1129)(251, 1019, 363, 1131, 340, 1108)(255, 1023, 366, 1134, 256, 1024)(257, 1025, 346, 1114, 325, 1093)(259, 1027, 371, 1139, 369, 1137)(260, 1028, 370, 1138, 288, 1056)(261, 1029, 373, 1141, 374, 1142)(266, 1034, 380, 1148, 378, 1146)(273, 1041, 385, 1153, 383, 1151)(274, 1042, 387, 1155, 275, 1043)(276, 1044, 384, 1152, 324, 1092)(277, 1045, 389, 1157, 390, 1158)(279, 1047, 392, 1160, 394, 1162)(282, 1050, 396, 1164, 395, 1163)(283, 1051, 397, 1165, 286, 1054)(287, 1055, 291, 1059, 402, 1170)(289, 1057, 382, 1150, 391, 1159)(292, 1060, 295, 1063, 407, 1175)(293, 1061, 408, 1176, 304, 1072)(300, 1068, 335, 1103, 415, 1183)(305, 1073, 419, 1187, 306, 1074)(307, 1075, 375, 1143, 333, 1101)(309, 1077, 424, 1192, 422, 1190)(310, 1078, 426, 1194, 311, 1079)(312, 1080, 423, 1191, 332, 1100)(313, 1081, 428, 1196, 429, 1197)(315, 1083, 430, 1198, 432, 1200)(318, 1086, 434, 1202, 433, 1201)(319, 1087, 435, 1203, 322, 1090)(323, 1091, 326, 1094, 440, 1208)(327, 1095, 444, 1212, 330, 1098)(331, 1099, 338, 1106, 449, 1217)(342, 1110, 458, 1226, 459, 1227)(348, 1116, 463, 1231, 464, 1232)(351, 1119, 399, 1167, 465, 1233)(352, 1120, 467, 1235, 469, 1237)(355, 1123, 473, 1241, 471, 1239)(356, 1124, 358, 1126, 475, 1243)(357, 1125, 476, 1244, 470, 1238)(359, 1127, 362, 1130, 478, 1246)(360, 1128, 479, 1247, 364, 1132)(365, 1133, 472, 1240, 455, 1223)(367, 1135, 485, 1253, 484, 1252)(368, 1136, 442, 1210, 487, 1255)(372, 1140, 492, 1260, 490, 1258)(376, 1144, 379, 1147, 494, 1262)(377, 1145, 495, 1263, 381, 1149)(386, 1154, 504, 1272, 502, 1270)(388, 1156, 437, 1205, 505, 1273)(393, 1161, 508, 1276, 509, 1277)(398, 1166, 514, 1282, 512, 1280)(400, 1168, 513, 1281, 511, 1279)(401, 1169, 517, 1285, 518, 1286)(403, 1171, 489, 1257, 521, 1289)(404, 1172, 522, 1290, 499, 1267)(405, 1173, 418, 1186, 519, 1287)(406, 1174, 524, 1292, 526, 1294)(409, 1177, 529, 1297, 528, 1296)(410, 1178, 412, 1180, 531, 1299)(411, 1179, 506, 1274, 527, 1295)(413, 1181, 416, 1184, 533, 1301)(414, 1182, 534, 1302, 417, 1185)(420, 1188, 540, 1308, 539, 1307)(421, 1189, 451, 1219, 542, 1310)(425, 1193, 547, 1315, 545, 1313)(427, 1195, 446, 1214, 548, 1316)(431, 1199, 551, 1319, 552, 1320)(436, 1204, 557, 1325, 555, 1323)(438, 1206, 556, 1324, 554, 1322)(439, 1207, 560, 1328, 561, 1329)(441, 1209, 501, 1269, 564, 1332)(443, 1211, 498, 1266, 562, 1330)(445, 1213, 567, 1335, 565, 1333)(447, 1215, 566, 1334, 462, 1230)(448, 1216, 570, 1338, 571, 1339)(450, 1218, 544, 1312, 573, 1341)(452, 1220, 574, 1342, 453, 1221)(454, 1222, 456, 1224, 578, 1346)(457, 1225, 580, 1348, 460, 1228)(461, 1229, 466, 1234, 585, 1353)(468, 1236, 592, 1360, 593, 1361)(474, 1242, 597, 1365, 598, 1366)(477, 1245, 600, 1368, 602, 1370)(480, 1248, 606, 1374, 604, 1372)(481, 1249, 563, 1331, 603, 1371)(482, 1250, 605, 1373, 590, 1358)(483, 1251, 538, 1306, 523, 1291)(486, 1254, 537, 1305, 608, 1376)(488, 1256, 491, 1259, 611, 1379)(493, 1261, 614, 1382, 616, 1384)(496, 1264, 619, 1387, 618, 1386)(497, 1265, 549, 1317, 617, 1385)(500, 1268, 503, 1271, 621, 1389)(507, 1275, 627, 1395, 510, 1278)(515, 1283, 635, 1403, 633, 1401)(516, 1284, 629, 1397, 589, 1357)(520, 1288, 637, 1405, 579, 1347)(525, 1293, 640, 1408, 641, 1409)(530, 1298, 645, 1413, 623, 1391)(532, 1300, 646, 1414, 648, 1416)(535, 1303, 651, 1419, 650, 1418)(536, 1304, 572, 1340, 649, 1417)(541, 1309, 576, 1344, 653, 1421)(543, 1311, 546, 1314, 656, 1424)(550, 1318, 661, 1429, 553, 1321)(558, 1326, 669, 1437, 667, 1435)(559, 1327, 663, 1431, 625, 1393)(568, 1336, 676, 1444, 674, 1442)(569, 1337, 582, 1350, 660, 1428)(575, 1343, 680, 1448, 679, 1447)(577, 1345, 682, 1450, 683, 1451)(581, 1349, 642, 1410, 639, 1407)(583, 1351, 684, 1452, 596, 1364)(584, 1352, 687, 1455, 688, 1456)(586, 1354, 673, 1441, 689, 1457)(587, 1355, 658, 1426, 588, 1356)(591, 1359, 662, 1430, 594, 1362)(595, 1363, 599, 1367, 632, 1400)(601, 1369, 699, 1467, 700, 1468)(607, 1375, 609, 1377, 704, 1472)(610, 1378, 665, 1433, 668, 1436)(612, 1380, 708, 1476, 638, 1406)(613, 1381, 677, 1445, 707, 1475)(615, 1383, 710, 1478, 711, 1479)(620, 1388, 672, 1440, 675, 1443)(622, 1390, 716, 1484, 671, 1439)(624, 1392, 636, 1404, 715, 1483)(626, 1394, 666, 1434, 643, 1411)(628, 1396, 712, 1480, 709, 1477)(630, 1398, 719, 1487, 644, 1412)(631, 1399, 634, 1402, 655, 1423)(647, 1415, 730, 1498, 731, 1499)(652, 1420, 654, 1422, 735, 1503)(657, 1425, 739, 1507, 678, 1446)(659, 1427, 670, 1438, 738, 1506)(664, 1432, 742, 1510, 713, 1481)(681, 1449, 755, 1523, 753, 1521)(685, 1453, 733, 1501, 726, 1494)(686, 1454, 692, 1460, 741, 1509)(690, 1458, 745, 1513, 740, 1508)(691, 1459, 720, 1488, 725, 1493)(693, 1461, 734, 1502, 702, 1470)(694, 1462, 721, 1489, 746, 1514)(695, 1463, 727, 1495, 744, 1512)(696, 1464, 749, 1517, 697, 1465)(698, 1466, 737, 1505, 701, 1469)(703, 1471, 752, 1520, 754, 1522)(705, 1473, 757, 1525, 736, 1504)(706, 1474, 732, 1500, 729, 1497)(714, 1482, 750, 1518, 756, 1524)(717, 1485, 728, 1496, 722, 1490)(718, 1486, 743, 1511, 763, 1531)(723, 1491, 758, 1526, 748, 1516)(724, 1492, 751, 1519, 747, 1515)(759, 1527, 764, 1532, 766, 1534)(760, 1528, 762, 1530, 765, 1533)(761, 1529, 768, 1536, 767, 1535)(1537, 2305)(1538, 2306)(1539, 2307)(1540, 2308)(1541, 2309)(1542, 2310)(1543, 2311)(1544, 2312)(1545, 2313)(1546, 2314)(1547, 2315)(1548, 2316)(1549, 2317)(1550, 2318)(1551, 2319)(1552, 2320)(1553, 2321)(1554, 2322)(1555, 2323)(1556, 2324)(1557, 2325)(1558, 2326)(1559, 2327)(1560, 2328)(1561, 2329)(1562, 2330)(1563, 2331)(1564, 2332)(1565, 2333)(1566, 2334)(1567, 2335)(1568, 2336)(1569, 2337)(1570, 2338)(1571, 2339)(1572, 2340)(1573, 2341)(1574, 2342)(1575, 2343)(1576, 2344)(1577, 2345)(1578, 2346)(1579, 2347)(1580, 2348)(1581, 2349)(1582, 2350)(1583, 2351)(1584, 2352)(1585, 2353)(1586, 2354)(1587, 2355)(1588, 2356)(1589, 2357)(1590, 2358)(1591, 2359)(1592, 2360)(1593, 2361)(1594, 2362)(1595, 2363)(1596, 2364)(1597, 2365)(1598, 2366)(1599, 2367)(1600, 2368)(1601, 2369)(1602, 2370)(1603, 2371)(1604, 2372)(1605, 2373)(1606, 2374)(1607, 2375)(1608, 2376)(1609, 2377)(1610, 2378)(1611, 2379)(1612, 2380)(1613, 2381)(1614, 2382)(1615, 2383)(1616, 2384)(1617, 2385)(1618, 2386)(1619, 2387)(1620, 2388)(1621, 2389)(1622, 2390)(1623, 2391)(1624, 2392)(1625, 2393)(1626, 2394)(1627, 2395)(1628, 2396)(1629, 2397)(1630, 2398)(1631, 2399)(1632, 2400)(1633, 2401)(1634, 2402)(1635, 2403)(1636, 2404)(1637, 2405)(1638, 2406)(1639, 2407)(1640, 2408)(1641, 2409)(1642, 2410)(1643, 2411)(1644, 2412)(1645, 2413)(1646, 2414)(1647, 2415)(1648, 2416)(1649, 2417)(1650, 2418)(1651, 2419)(1652, 2420)(1653, 2421)(1654, 2422)(1655, 2423)(1656, 2424)(1657, 2425)(1658, 2426)(1659, 2427)(1660, 2428)(1661, 2429)(1662, 2430)(1663, 2431)(1664, 2432)(1665, 2433)(1666, 2434)(1667, 2435)(1668, 2436)(1669, 2437)(1670, 2438)(1671, 2439)(1672, 2440)(1673, 2441)(1674, 2442)(1675, 2443)(1676, 2444)(1677, 2445)(1678, 2446)(1679, 2447)(1680, 2448)(1681, 2449)(1682, 2450)(1683, 2451)(1684, 2452)(1685, 2453)(1686, 2454)(1687, 2455)(1688, 2456)(1689, 2457)(1690, 2458)(1691, 2459)(1692, 2460)(1693, 2461)(1694, 2462)(1695, 2463)(1696, 2464)(1697, 2465)(1698, 2466)(1699, 2467)(1700, 2468)(1701, 2469)(1702, 2470)(1703, 2471)(1704, 2472)(1705, 2473)(1706, 2474)(1707, 2475)(1708, 2476)(1709, 2477)(1710, 2478)(1711, 2479)(1712, 2480)(1713, 2481)(1714, 2482)(1715, 2483)(1716, 2484)(1717, 2485)(1718, 2486)(1719, 2487)(1720, 2488)(1721, 2489)(1722, 2490)(1723, 2491)(1724, 2492)(1725, 2493)(1726, 2494)(1727, 2495)(1728, 2496)(1729, 2497)(1730, 2498)(1731, 2499)(1732, 2500)(1733, 2501)(1734, 2502)(1735, 2503)(1736, 2504)(1737, 2505)(1738, 2506)(1739, 2507)(1740, 2508)(1741, 2509)(1742, 2510)(1743, 2511)(1744, 2512)(1745, 2513)(1746, 2514)(1747, 2515)(1748, 2516)(1749, 2517)(1750, 2518)(1751, 2519)(1752, 2520)(1753, 2521)(1754, 2522)(1755, 2523)(1756, 2524)(1757, 2525)(1758, 2526)(1759, 2527)(1760, 2528)(1761, 2529)(1762, 2530)(1763, 2531)(1764, 2532)(1765, 2533)(1766, 2534)(1767, 2535)(1768, 2536)(1769, 2537)(1770, 2538)(1771, 2539)(1772, 2540)(1773, 2541)(1774, 2542)(1775, 2543)(1776, 2544)(1777, 2545)(1778, 2546)(1779, 2547)(1780, 2548)(1781, 2549)(1782, 2550)(1783, 2551)(1784, 2552)(1785, 2553)(1786, 2554)(1787, 2555)(1788, 2556)(1789, 2557)(1790, 2558)(1791, 2559)(1792, 2560)(1793, 2561)(1794, 2562)(1795, 2563)(1796, 2564)(1797, 2565)(1798, 2566)(1799, 2567)(1800, 2568)(1801, 2569)(1802, 2570)(1803, 2571)(1804, 2572)(1805, 2573)(1806, 2574)(1807, 2575)(1808, 2576)(1809, 2577)(1810, 2578)(1811, 2579)(1812, 2580)(1813, 2581)(1814, 2582)(1815, 2583)(1816, 2584)(1817, 2585)(1818, 2586)(1819, 2587)(1820, 2588)(1821, 2589)(1822, 2590)(1823, 2591)(1824, 2592)(1825, 2593)(1826, 2594)(1827, 2595)(1828, 2596)(1829, 2597)(1830, 2598)(1831, 2599)(1832, 2600)(1833, 2601)(1834, 2602)(1835, 2603)(1836, 2604)(1837, 2605)(1838, 2606)(1839, 2607)(1840, 2608)(1841, 2609)(1842, 2610)(1843, 2611)(1844, 2612)(1845, 2613)(1846, 2614)(1847, 2615)(1848, 2616)(1849, 2617)(1850, 2618)(1851, 2619)(1852, 2620)(1853, 2621)(1854, 2622)(1855, 2623)(1856, 2624)(1857, 2625)(1858, 2626)(1859, 2627)(1860, 2628)(1861, 2629)(1862, 2630)(1863, 2631)(1864, 2632)(1865, 2633)(1866, 2634)(1867, 2635)(1868, 2636)(1869, 2637)(1870, 2638)(1871, 2639)(1872, 2640)(1873, 2641)(1874, 2642)(1875, 2643)(1876, 2644)(1877, 2645)(1878, 2646)(1879, 2647)(1880, 2648)(1881, 2649)(1882, 2650)(1883, 2651)(1884, 2652)(1885, 2653)(1886, 2654)(1887, 2655)(1888, 2656)(1889, 2657)(1890, 2658)(1891, 2659)(1892, 2660)(1893, 2661)(1894, 2662)(1895, 2663)(1896, 2664)(1897, 2665)(1898, 2666)(1899, 2667)(1900, 2668)(1901, 2669)(1902, 2670)(1903, 2671)(1904, 2672)(1905, 2673)(1906, 2674)(1907, 2675)(1908, 2676)(1909, 2677)(1910, 2678)(1911, 2679)(1912, 2680)(1913, 2681)(1914, 2682)(1915, 2683)(1916, 2684)(1917, 2685)(1918, 2686)(1919, 2687)(1920, 2688)(1921, 2689)(1922, 2690)(1923, 2691)(1924, 2692)(1925, 2693)(1926, 2694)(1927, 2695)(1928, 2696)(1929, 2697)(1930, 2698)(1931, 2699)(1932, 2700)(1933, 2701)(1934, 2702)(1935, 2703)(1936, 2704)(1937, 2705)(1938, 2706)(1939, 2707)(1940, 2708)(1941, 2709)(1942, 2710)(1943, 2711)(1944, 2712)(1945, 2713)(1946, 2714)(1947, 2715)(1948, 2716)(1949, 2717)(1950, 2718)(1951, 2719)(1952, 2720)(1953, 2721)(1954, 2722)(1955, 2723)(1956, 2724)(1957, 2725)(1958, 2726)(1959, 2727)(1960, 2728)(1961, 2729)(1962, 2730)(1963, 2731)(1964, 2732)(1965, 2733)(1966, 2734)(1967, 2735)(1968, 2736)(1969, 2737)(1970, 2738)(1971, 2739)(1972, 2740)(1973, 2741)(1974, 2742)(1975, 2743)(1976, 2744)(1977, 2745)(1978, 2746)(1979, 2747)(1980, 2748)(1981, 2749)(1982, 2750)(1983, 2751)(1984, 2752)(1985, 2753)(1986, 2754)(1987, 2755)(1988, 2756)(1989, 2757)(1990, 2758)(1991, 2759)(1992, 2760)(1993, 2761)(1994, 2762)(1995, 2763)(1996, 2764)(1997, 2765)(1998, 2766)(1999, 2767)(2000, 2768)(2001, 2769)(2002, 2770)(2003, 2771)(2004, 2772)(2005, 2773)(2006, 2774)(2007, 2775)(2008, 2776)(2009, 2777)(2010, 2778)(2011, 2779)(2012, 2780)(2013, 2781)(2014, 2782)(2015, 2783)(2016, 2784)(2017, 2785)(2018, 2786)(2019, 2787)(2020, 2788)(2021, 2789)(2022, 2790)(2023, 2791)(2024, 2792)(2025, 2793)(2026, 2794)(2027, 2795)(2028, 2796)(2029, 2797)(2030, 2798)(2031, 2799)(2032, 2800)(2033, 2801)(2034, 2802)(2035, 2803)(2036, 2804)(2037, 2805)(2038, 2806)(2039, 2807)(2040, 2808)(2041, 2809)(2042, 2810)(2043, 2811)(2044, 2812)(2045, 2813)(2046, 2814)(2047, 2815)(2048, 2816)(2049, 2817)(2050, 2818)(2051, 2819)(2052, 2820)(2053, 2821)(2054, 2822)(2055, 2823)(2056, 2824)(2057, 2825)(2058, 2826)(2059, 2827)(2060, 2828)(2061, 2829)(2062, 2830)(2063, 2831)(2064, 2832)(2065, 2833)(2066, 2834)(2067, 2835)(2068, 2836)(2069, 2837)(2070, 2838)(2071, 2839)(2072, 2840)(2073, 2841)(2074, 2842)(2075, 2843)(2076, 2844)(2077, 2845)(2078, 2846)(2079, 2847)(2080, 2848)(2081, 2849)(2082, 2850)(2083, 2851)(2084, 2852)(2085, 2853)(2086, 2854)(2087, 2855)(2088, 2856)(2089, 2857)(2090, 2858)(2091, 2859)(2092, 2860)(2093, 2861)(2094, 2862)(2095, 2863)(2096, 2864)(2097, 2865)(2098, 2866)(2099, 2867)(2100, 2868)(2101, 2869)(2102, 2870)(2103, 2871)(2104, 2872)(2105, 2873)(2106, 2874)(2107, 2875)(2108, 2876)(2109, 2877)(2110, 2878)(2111, 2879)(2112, 2880)(2113, 2881)(2114, 2882)(2115, 2883)(2116, 2884)(2117, 2885)(2118, 2886)(2119, 2887)(2120, 2888)(2121, 2889)(2122, 2890)(2123, 2891)(2124, 2892)(2125, 2893)(2126, 2894)(2127, 2895)(2128, 2896)(2129, 2897)(2130, 2898)(2131, 2899)(2132, 2900)(2133, 2901)(2134, 2902)(2135, 2903)(2136, 2904)(2137, 2905)(2138, 2906)(2139, 2907)(2140, 2908)(2141, 2909)(2142, 2910)(2143, 2911)(2144, 2912)(2145, 2913)(2146, 2914)(2147, 2915)(2148, 2916)(2149, 2917)(2150, 2918)(2151, 2919)(2152, 2920)(2153, 2921)(2154, 2922)(2155, 2923)(2156, 2924)(2157, 2925)(2158, 2926)(2159, 2927)(2160, 2928)(2161, 2929)(2162, 2930)(2163, 2931)(2164, 2932)(2165, 2933)(2166, 2934)(2167, 2935)(2168, 2936)(2169, 2937)(2170, 2938)(2171, 2939)(2172, 2940)(2173, 2941)(2174, 2942)(2175, 2943)(2176, 2944)(2177, 2945)(2178, 2946)(2179, 2947)(2180, 2948)(2181, 2949)(2182, 2950)(2183, 2951)(2184, 2952)(2185, 2953)(2186, 2954)(2187, 2955)(2188, 2956)(2189, 2957)(2190, 2958)(2191, 2959)(2192, 2960)(2193, 2961)(2194, 2962)(2195, 2963)(2196, 2964)(2197, 2965)(2198, 2966)(2199, 2967)(2200, 2968)(2201, 2969)(2202, 2970)(2203, 2971)(2204, 2972)(2205, 2973)(2206, 2974)(2207, 2975)(2208, 2976)(2209, 2977)(2210, 2978)(2211, 2979)(2212, 2980)(2213, 2981)(2214, 2982)(2215, 2983)(2216, 2984)(2217, 2985)(2218, 2986)(2219, 2987)(2220, 2988)(2221, 2989)(2222, 2990)(2223, 2991)(2224, 2992)(2225, 2993)(2226, 2994)(2227, 2995)(2228, 2996)(2229, 2997)(2230, 2998)(2231, 2999)(2232, 3000)(2233, 3001)(2234, 3002)(2235, 3003)(2236, 3004)(2237, 3005)(2238, 3006)(2239, 3007)(2240, 3008)(2241, 3009)(2242, 3010)(2243, 3011)(2244, 3012)(2245, 3013)(2246, 3014)(2247, 3015)(2248, 3016)(2249, 3017)(2250, 3018)(2251, 3019)(2252, 3020)(2253, 3021)(2254, 3022)(2255, 3023)(2256, 3024)(2257, 3025)(2258, 3026)(2259, 3027)(2260, 3028)(2261, 3029)(2262, 3030)(2263, 3031)(2264, 3032)(2265, 3033)(2266, 3034)(2267, 3035)(2268, 3036)(2269, 3037)(2270, 3038)(2271, 3039)(2272, 3040)(2273, 3041)(2274, 3042)(2275, 3043)(2276, 3044)(2277, 3045)(2278, 3046)(2279, 3047)(2280, 3048)(2281, 3049)(2282, 3050)(2283, 3051)(2284, 3052)(2285, 3053)(2286, 3054)(2287, 3055)(2288, 3056)(2289, 3057)(2290, 3058)(2291, 3059)(2292, 3060)(2293, 3061)(2294, 3062)(2295, 3063)(2296, 3064)(2297, 3065)(2298, 3066)(2299, 3067)(2300, 3068)(2301, 3069)(2302, 3070)(2303, 3071)(2304, 3072)
	L = (1, 1539)(2, 1542)(3, 1545)(4, 1547)(5, 1537)(6, 1550)(7, 1538)(8, 1540)(9, 1555)(10, 1557)(11, 1558)(12, 1559)(13, 1541)(14, 1563)(15, 1565)(16, 1543)(17, 1544)(18, 1546)(19, 1573)(20, 1575)(21, 1576)(22, 1577)(23, 1579)(24, 1548)(25, 1581)(26, 1549)(27, 1585)(28, 1587)(29, 1588)(30, 1551)(31, 1590)(32, 1552)(33, 1593)(34, 1553)(35, 1554)(36, 1556)(37, 1562)(38, 1602)(39, 1603)(40, 1604)(41, 1596)(42, 1608)(43, 1609)(44, 1560)(45, 1613)(46, 1561)(47, 1601)(48, 1564)(49, 1568)(50, 1619)(51, 1620)(52, 1621)(53, 1566)(54, 1625)(55, 1567)(56, 1618)(57, 1628)(58, 1569)(59, 1630)(60, 1570)(61, 1633)(62, 1571)(63, 1572)(64, 1574)(65, 1640)(66, 1641)(67, 1642)(68, 1636)(69, 1646)(70, 1578)(71, 1648)(72, 1649)(73, 1651)(74, 1653)(75, 1654)(76, 1580)(77, 1657)(78, 1582)(79, 1583)(80, 1584)(81, 1586)(82, 1665)(83, 1666)(84, 1667)(85, 1670)(86, 1672)(87, 1673)(88, 1589)(89, 1676)(90, 1591)(91, 1592)(92, 1681)(93, 1594)(94, 1685)(95, 1595)(96, 1607)(97, 1688)(98, 1597)(99, 1690)(100, 1598)(101, 1693)(102, 1599)(103, 1600)(104, 1699)(105, 1700)(106, 1696)(107, 1704)(108, 1605)(109, 1706)(110, 1707)(111, 1606)(112, 1710)(113, 1711)(114, 1610)(115, 1612)(116, 1716)(117, 1717)(118, 1718)(119, 1611)(120, 1715)(121, 1722)(122, 1724)(123, 1725)(124, 1614)(125, 1615)(126, 1730)(127, 1616)(128, 1617)(129, 1736)(130, 1737)(131, 1733)(132, 1741)(133, 1622)(134, 1624)(135, 1745)(136, 1746)(137, 1747)(138, 1623)(139, 1744)(140, 1751)(141, 1753)(142, 1754)(143, 1626)(144, 1627)(145, 1760)(146, 1762)(147, 1763)(148, 1629)(149, 1766)(150, 1631)(151, 1632)(152, 1771)(153, 1634)(154, 1775)(155, 1635)(156, 1645)(157, 1778)(158, 1637)(159, 1780)(160, 1638)(161, 1783)(162, 1639)(163, 1787)(164, 1786)(165, 1790)(166, 1643)(167, 1792)(168, 1793)(169, 1644)(170, 1796)(171, 1797)(172, 1799)(173, 1647)(174, 1803)(175, 1802)(176, 1807)(177, 1650)(178, 1652)(179, 1811)(180, 1812)(181, 1813)(182, 1815)(183, 1655)(184, 1656)(185, 1658)(186, 1660)(187, 1822)(188, 1823)(189, 1824)(190, 1659)(191, 1821)(192, 1826)(193, 1661)(194, 1828)(195, 1662)(196, 1830)(197, 1663)(198, 1833)(199, 1664)(200, 1837)(201, 1836)(202, 1840)(203, 1668)(204, 1842)(205, 1843)(206, 1669)(207, 1671)(208, 1847)(209, 1848)(210, 1849)(211, 1851)(212, 1674)(213, 1675)(214, 1677)(215, 1679)(216, 1858)(217, 1859)(218, 1860)(219, 1678)(220, 1857)(221, 1789)(222, 1680)(223, 1682)(224, 1684)(225, 1866)(226, 1867)(227, 1868)(228, 1683)(229, 1865)(230, 1871)(231, 1873)(232, 1839)(233, 1686)(234, 1687)(235, 1878)(236, 1880)(237, 1881)(238, 1689)(239, 1884)(240, 1691)(241, 1692)(242, 1888)(243, 1694)(244, 1892)(245, 1695)(246, 1703)(247, 1895)(248, 1697)(249, 1897)(250, 1698)(251, 1729)(252, 1900)(253, 1701)(254, 1901)(255, 1702)(256, 1720)(257, 1904)(258, 1905)(259, 1705)(260, 1727)(261, 1908)(262, 1911)(263, 1912)(264, 1708)(265, 1914)(266, 1709)(267, 1876)(268, 1917)(269, 1712)(270, 1776)(271, 1918)(272, 1919)(273, 1713)(274, 1714)(275, 1894)(276, 1756)(277, 1922)(278, 1927)(279, 1929)(280, 1902)(281, 1931)(282, 1719)(283, 1721)(284, 1723)(285, 1887)(286, 1936)(287, 1937)(288, 1939)(289, 1726)(290, 1804)(291, 1728)(292, 1942)(293, 1731)(294, 1946)(295, 1732)(296, 1740)(297, 1949)(298, 1734)(299, 1951)(300, 1735)(301, 1758)(302, 1953)(303, 1738)(304, 1954)(305, 1739)(306, 1749)(307, 1957)(308, 1958)(309, 1742)(310, 1743)(311, 1948)(312, 1765)(313, 1961)(314, 1882)(315, 1967)(316, 1955)(317, 1969)(318, 1748)(319, 1750)(320, 1752)(321, 1924)(322, 1974)(323, 1975)(324, 1977)(325, 1755)(326, 1757)(327, 1759)(328, 1761)(329, 1963)(330, 1983)(331, 1984)(332, 1986)(333, 1764)(334, 1767)(335, 1769)(336, 1989)(337, 1990)(338, 1768)(339, 1899)(340, 1770)(341, 1772)(342, 1774)(343, 1996)(344, 1997)(345, 1998)(346, 1773)(347, 1995)(348, 1916)(349, 2001)(350, 1805)(351, 1777)(352, 2004)(353, 2006)(354, 2007)(355, 1779)(356, 2010)(357, 1781)(358, 1782)(359, 2013)(360, 1784)(361, 1838)(362, 1785)(363, 1788)(364, 2018)(365, 2019)(366, 2020)(367, 1791)(368, 2022)(369, 2024)(370, 1794)(371, 2026)(372, 1795)(373, 1798)(374, 1893)(375, 1817)(376, 2029)(377, 1800)(378, 2000)(379, 1801)(380, 1806)(381, 2034)(382, 2035)(383, 2036)(384, 1808)(385, 2038)(386, 1809)(387, 2041)(388, 1810)(389, 1814)(390, 1947)(391, 1853)(392, 1816)(393, 1818)(394, 2046)(395, 2047)(396, 2045)(397, 2048)(398, 1819)(399, 1820)(400, 1932)(401, 2051)(402, 2055)(403, 2056)(404, 1825)(405, 1827)(406, 2061)(407, 2063)(408, 2064)(409, 1829)(410, 2066)(411, 1831)(412, 1832)(413, 2068)(414, 1834)(415, 1872)(416, 1835)(417, 2073)(418, 2074)(419, 2075)(420, 1841)(421, 2077)(422, 2079)(423, 1844)(424, 2081)(425, 1845)(426, 2084)(427, 1846)(428, 1850)(429, 2033)(430, 1852)(431, 1854)(432, 2089)(433, 2090)(434, 2088)(435, 2091)(436, 1855)(437, 1856)(438, 1970)(439, 2094)(440, 2098)(441, 2099)(442, 1861)(443, 1862)(444, 2101)(445, 1863)(446, 1864)(447, 1883)(448, 2104)(449, 2008)(450, 2108)(451, 1869)(452, 1870)(453, 2112)(454, 2113)(455, 1874)(456, 1875)(457, 1877)(458, 1879)(459, 2105)(460, 2119)(461, 2120)(462, 2122)(463, 1885)(464, 2124)(465, 2125)(466, 1886)(467, 1889)(468, 1891)(469, 2130)(470, 2131)(471, 2132)(472, 1890)(473, 2129)(474, 2028)(475, 1923)(476, 1909)(477, 2137)(478, 2139)(479, 2140)(480, 1896)(481, 1898)(482, 2058)(483, 1979)(484, 2143)(485, 2144)(486, 1903)(487, 2017)(488, 2146)(489, 1906)(490, 2134)(491, 1907)(492, 1910)(493, 2151)(494, 2153)(495, 2154)(496, 1913)(497, 1915)(498, 2059)(499, 2126)(500, 2156)(501, 1920)(502, 2159)(503, 1921)(504, 1926)(505, 2161)(506, 1925)(507, 1928)(508, 1930)(509, 2052)(510, 2166)(511, 2135)(512, 2167)(513, 1933)(514, 2169)(515, 1934)(516, 1935)(517, 1938)(518, 2160)(519, 1944)(520, 1940)(521, 2174)(522, 2115)(523, 1941)(524, 1943)(525, 1945)(526, 2178)(527, 2179)(528, 2180)(529, 2177)(530, 2040)(531, 1962)(532, 2183)(533, 2185)(534, 2186)(535, 1950)(536, 1952)(537, 2023)(538, 1991)(539, 2188)(540, 2189)(541, 1956)(542, 2072)(543, 2191)(544, 1959)(545, 2194)(546, 1960)(547, 1965)(548, 2196)(549, 1964)(550, 1966)(551, 1968)(552, 2095)(553, 2200)(554, 2162)(555, 2201)(556, 1971)(557, 2203)(558, 1972)(559, 1973)(560, 1976)(561, 2195)(562, 2031)(563, 1978)(564, 2207)(565, 2208)(566, 1980)(567, 2210)(568, 1981)(569, 1982)(570, 1985)(571, 2149)(572, 1987)(573, 2214)(574, 2215)(575, 1988)(576, 2078)(577, 2217)(578, 2173)(579, 1992)(580, 2175)(581, 1993)(582, 1994)(583, 2009)(584, 2221)(585, 2141)(586, 2085)(587, 1999)(588, 2083)(589, 2227)(590, 2002)(591, 2003)(592, 2005)(593, 2222)(594, 2229)(595, 2230)(596, 2231)(597, 2011)(598, 2233)(599, 2012)(600, 2014)(601, 2016)(602, 2237)(603, 2100)(604, 2238)(605, 2015)(606, 2236)(607, 2239)(608, 2070)(609, 2021)(610, 2242)(611, 2243)(612, 2025)(613, 2027)(614, 2030)(615, 2032)(616, 2248)(617, 2225)(618, 2249)(619, 2247)(620, 2250)(621, 2251)(622, 2037)(623, 2253)(624, 2039)(625, 2254)(626, 2042)(627, 2245)(628, 2043)(629, 2044)(630, 2065)(631, 2192)(632, 2049)(633, 2258)(634, 2050)(635, 2054)(636, 2053)(637, 2057)(638, 2260)(639, 2060)(640, 2062)(641, 2256)(642, 2262)(643, 2263)(644, 2259)(645, 2067)(646, 2069)(647, 2071)(648, 2268)(649, 2109)(650, 2269)(651, 2267)(652, 2270)(653, 2110)(654, 2076)(655, 2273)(656, 2274)(657, 2080)(658, 2276)(659, 2082)(660, 2277)(661, 2127)(662, 2086)(663, 2087)(664, 2155)(665, 2147)(666, 2092)(667, 2281)(668, 2093)(669, 2097)(670, 2096)(671, 2283)(672, 2157)(673, 2102)(674, 2285)(675, 2103)(676, 2107)(677, 2106)(678, 2287)(679, 2288)(680, 2289)(681, 2111)(682, 2114)(683, 2286)(684, 2116)(685, 2117)(686, 2118)(687, 2121)(688, 2241)(689, 2294)(690, 2123)(691, 2295)(692, 2128)(693, 2142)(694, 2278)(695, 2213)(696, 2133)(697, 2212)(698, 2136)(699, 2138)(700, 2296)(701, 2170)(702, 2271)(703, 2164)(704, 2272)(705, 2145)(706, 2148)(707, 2280)(708, 2265)(709, 2150)(710, 2152)(711, 2279)(712, 2290)(713, 2282)(714, 2158)(715, 2284)(716, 2292)(717, 2171)(718, 2297)(719, 2163)(720, 2165)(721, 2168)(722, 2298)(723, 2172)(724, 2252)(725, 2176)(726, 2187)(727, 2220)(728, 2181)(729, 2182)(730, 2184)(731, 2300)(732, 2204)(733, 2224)(734, 2198)(735, 2293)(736, 2190)(737, 2193)(738, 2257)(739, 2234)(740, 2205)(741, 2301)(742, 2197)(743, 2199)(744, 2202)(745, 2302)(746, 2206)(747, 2275)(748, 2209)(749, 2303)(750, 2211)(751, 2244)(752, 2240)(753, 2304)(754, 2216)(755, 2219)(756, 2218)(757, 2223)(758, 2255)(759, 2226)(760, 2228)(761, 2232)(762, 2235)(763, 2246)(764, 2261)(765, 2264)(766, 2266)(767, 2291)(768, 2299)(769, 2305)(770, 2306)(771, 2307)(772, 2308)(773, 2309)(774, 2310)(775, 2311)(776, 2312)(777, 2313)(778, 2314)(779, 2315)(780, 2316)(781, 2317)(782, 2318)(783, 2319)(784, 2320)(785, 2321)(786, 2322)(787, 2323)(788, 2324)(789, 2325)(790, 2326)(791, 2327)(792, 2328)(793, 2329)(794, 2330)(795, 2331)(796, 2332)(797, 2333)(798, 2334)(799, 2335)(800, 2336)(801, 2337)(802, 2338)(803, 2339)(804, 2340)(805, 2341)(806, 2342)(807, 2343)(808, 2344)(809, 2345)(810, 2346)(811, 2347)(812, 2348)(813, 2349)(814, 2350)(815, 2351)(816, 2352)(817, 2353)(818, 2354)(819, 2355)(820, 2356)(821, 2357)(822, 2358)(823, 2359)(824, 2360)(825, 2361)(826, 2362)(827, 2363)(828, 2364)(829, 2365)(830, 2366)(831, 2367)(832, 2368)(833, 2369)(834, 2370)(835, 2371)(836, 2372)(837, 2373)(838, 2374)(839, 2375)(840, 2376)(841, 2377)(842, 2378)(843, 2379)(844, 2380)(845, 2381)(846, 2382)(847, 2383)(848, 2384)(849, 2385)(850, 2386)(851, 2387)(852, 2388)(853, 2389)(854, 2390)(855, 2391)(856, 2392)(857, 2393)(858, 2394)(859, 2395)(860, 2396)(861, 2397)(862, 2398)(863, 2399)(864, 2400)(865, 2401)(866, 2402)(867, 2403)(868, 2404)(869, 2405)(870, 2406)(871, 2407)(872, 2408)(873, 2409)(874, 2410)(875, 2411)(876, 2412)(877, 2413)(878, 2414)(879, 2415)(880, 2416)(881, 2417)(882, 2418)(883, 2419)(884, 2420)(885, 2421)(886, 2422)(887, 2423)(888, 2424)(889, 2425)(890, 2426)(891, 2427)(892, 2428)(893, 2429)(894, 2430)(895, 2431)(896, 2432)(897, 2433)(898, 2434)(899, 2435)(900, 2436)(901, 2437)(902, 2438)(903, 2439)(904, 2440)(905, 2441)(906, 2442)(907, 2443)(908, 2444)(909, 2445)(910, 2446)(911, 2447)(912, 2448)(913, 2449)(914, 2450)(915, 2451)(916, 2452)(917, 2453)(918, 2454)(919, 2455)(920, 2456)(921, 2457)(922, 2458)(923, 2459)(924, 2460)(925, 2461)(926, 2462)(927, 2463)(928, 2464)(929, 2465)(930, 2466)(931, 2467)(932, 2468)(933, 2469)(934, 2470)(935, 2471)(936, 2472)(937, 2473)(938, 2474)(939, 2475)(940, 2476)(941, 2477)(942, 2478)(943, 2479)(944, 2480)(945, 2481)(946, 2482)(947, 2483)(948, 2484)(949, 2485)(950, 2486)(951, 2487)(952, 2488)(953, 2489)(954, 2490)(955, 2491)(956, 2492)(957, 2493)(958, 2494)(959, 2495)(960, 2496)(961, 2497)(962, 2498)(963, 2499)(964, 2500)(965, 2501)(966, 2502)(967, 2503)(968, 2504)(969, 2505)(970, 2506)(971, 2507)(972, 2508)(973, 2509)(974, 2510)(975, 2511)(976, 2512)(977, 2513)(978, 2514)(979, 2515)(980, 2516)(981, 2517)(982, 2518)(983, 2519)(984, 2520)(985, 2521)(986, 2522)(987, 2523)(988, 2524)(989, 2525)(990, 2526)(991, 2527)(992, 2528)(993, 2529)(994, 2530)(995, 2531)(996, 2532)(997, 2533)(998, 2534)(999, 2535)(1000, 2536)(1001, 2537)(1002, 2538)(1003, 2539)(1004, 2540)(1005, 2541)(1006, 2542)(1007, 2543)(1008, 2544)(1009, 2545)(1010, 2546)(1011, 2547)(1012, 2548)(1013, 2549)(1014, 2550)(1015, 2551)(1016, 2552)(1017, 2553)(1018, 2554)(1019, 2555)(1020, 2556)(1021, 2557)(1022, 2558)(1023, 2559)(1024, 2560)(1025, 2561)(1026, 2562)(1027, 2563)(1028, 2564)(1029, 2565)(1030, 2566)(1031, 2567)(1032, 2568)(1033, 2569)(1034, 2570)(1035, 2571)(1036, 2572)(1037, 2573)(1038, 2574)(1039, 2575)(1040, 2576)(1041, 2577)(1042, 2578)(1043, 2579)(1044, 2580)(1045, 2581)(1046, 2582)(1047, 2583)(1048, 2584)(1049, 2585)(1050, 2586)(1051, 2587)(1052, 2588)(1053, 2589)(1054, 2590)(1055, 2591)(1056, 2592)(1057, 2593)(1058, 2594)(1059, 2595)(1060, 2596)(1061, 2597)(1062, 2598)(1063, 2599)(1064, 2600)(1065, 2601)(1066, 2602)(1067, 2603)(1068, 2604)(1069, 2605)(1070, 2606)(1071, 2607)(1072, 2608)(1073, 2609)(1074, 2610)(1075, 2611)(1076, 2612)(1077, 2613)(1078, 2614)(1079, 2615)(1080, 2616)(1081, 2617)(1082, 2618)(1083, 2619)(1084, 2620)(1085, 2621)(1086, 2622)(1087, 2623)(1088, 2624)(1089, 2625)(1090, 2626)(1091, 2627)(1092, 2628)(1093, 2629)(1094, 2630)(1095, 2631)(1096, 2632)(1097, 2633)(1098, 2634)(1099, 2635)(1100, 2636)(1101, 2637)(1102, 2638)(1103, 2639)(1104, 2640)(1105, 2641)(1106, 2642)(1107, 2643)(1108, 2644)(1109, 2645)(1110, 2646)(1111, 2647)(1112, 2648)(1113, 2649)(1114, 2650)(1115, 2651)(1116, 2652)(1117, 2653)(1118, 2654)(1119, 2655)(1120, 2656)(1121, 2657)(1122, 2658)(1123, 2659)(1124, 2660)(1125, 2661)(1126, 2662)(1127, 2663)(1128, 2664)(1129, 2665)(1130, 2666)(1131, 2667)(1132, 2668)(1133, 2669)(1134, 2670)(1135, 2671)(1136, 2672)(1137, 2673)(1138, 2674)(1139, 2675)(1140, 2676)(1141, 2677)(1142, 2678)(1143, 2679)(1144, 2680)(1145, 2681)(1146, 2682)(1147, 2683)(1148, 2684)(1149, 2685)(1150, 2686)(1151, 2687)(1152, 2688)(1153, 2689)(1154, 2690)(1155, 2691)(1156, 2692)(1157, 2693)(1158, 2694)(1159, 2695)(1160, 2696)(1161, 2697)(1162, 2698)(1163, 2699)(1164, 2700)(1165, 2701)(1166, 2702)(1167, 2703)(1168, 2704)(1169, 2705)(1170, 2706)(1171, 2707)(1172, 2708)(1173, 2709)(1174, 2710)(1175, 2711)(1176, 2712)(1177, 2713)(1178, 2714)(1179, 2715)(1180, 2716)(1181, 2717)(1182, 2718)(1183, 2719)(1184, 2720)(1185, 2721)(1186, 2722)(1187, 2723)(1188, 2724)(1189, 2725)(1190, 2726)(1191, 2727)(1192, 2728)(1193, 2729)(1194, 2730)(1195, 2731)(1196, 2732)(1197, 2733)(1198, 2734)(1199, 2735)(1200, 2736)(1201, 2737)(1202, 2738)(1203, 2739)(1204, 2740)(1205, 2741)(1206, 2742)(1207, 2743)(1208, 2744)(1209, 2745)(1210, 2746)(1211, 2747)(1212, 2748)(1213, 2749)(1214, 2750)(1215, 2751)(1216, 2752)(1217, 2753)(1218, 2754)(1219, 2755)(1220, 2756)(1221, 2757)(1222, 2758)(1223, 2759)(1224, 2760)(1225, 2761)(1226, 2762)(1227, 2763)(1228, 2764)(1229, 2765)(1230, 2766)(1231, 2767)(1232, 2768)(1233, 2769)(1234, 2770)(1235, 2771)(1236, 2772)(1237, 2773)(1238, 2774)(1239, 2775)(1240, 2776)(1241, 2777)(1242, 2778)(1243, 2779)(1244, 2780)(1245, 2781)(1246, 2782)(1247, 2783)(1248, 2784)(1249, 2785)(1250, 2786)(1251, 2787)(1252, 2788)(1253, 2789)(1254, 2790)(1255, 2791)(1256, 2792)(1257, 2793)(1258, 2794)(1259, 2795)(1260, 2796)(1261, 2797)(1262, 2798)(1263, 2799)(1264, 2800)(1265, 2801)(1266, 2802)(1267, 2803)(1268, 2804)(1269, 2805)(1270, 2806)(1271, 2807)(1272, 2808)(1273, 2809)(1274, 2810)(1275, 2811)(1276, 2812)(1277, 2813)(1278, 2814)(1279, 2815)(1280, 2816)(1281, 2817)(1282, 2818)(1283, 2819)(1284, 2820)(1285, 2821)(1286, 2822)(1287, 2823)(1288, 2824)(1289, 2825)(1290, 2826)(1291, 2827)(1292, 2828)(1293, 2829)(1294, 2830)(1295, 2831)(1296, 2832)(1297, 2833)(1298, 2834)(1299, 2835)(1300, 2836)(1301, 2837)(1302, 2838)(1303, 2839)(1304, 2840)(1305, 2841)(1306, 2842)(1307, 2843)(1308, 2844)(1309, 2845)(1310, 2846)(1311, 2847)(1312, 2848)(1313, 2849)(1314, 2850)(1315, 2851)(1316, 2852)(1317, 2853)(1318, 2854)(1319, 2855)(1320, 2856)(1321, 2857)(1322, 2858)(1323, 2859)(1324, 2860)(1325, 2861)(1326, 2862)(1327, 2863)(1328, 2864)(1329, 2865)(1330, 2866)(1331, 2867)(1332, 2868)(1333, 2869)(1334, 2870)(1335, 2871)(1336, 2872)(1337, 2873)(1338, 2874)(1339, 2875)(1340, 2876)(1341, 2877)(1342, 2878)(1343, 2879)(1344, 2880)(1345, 2881)(1346, 2882)(1347, 2883)(1348, 2884)(1349, 2885)(1350, 2886)(1351, 2887)(1352, 2888)(1353, 2889)(1354, 2890)(1355, 2891)(1356, 2892)(1357, 2893)(1358, 2894)(1359, 2895)(1360, 2896)(1361, 2897)(1362, 2898)(1363, 2899)(1364, 2900)(1365, 2901)(1366, 2902)(1367, 2903)(1368, 2904)(1369, 2905)(1370, 2906)(1371, 2907)(1372, 2908)(1373, 2909)(1374, 2910)(1375, 2911)(1376, 2912)(1377, 2913)(1378, 2914)(1379, 2915)(1380, 2916)(1381, 2917)(1382, 2918)(1383, 2919)(1384, 2920)(1385, 2921)(1386, 2922)(1387, 2923)(1388, 2924)(1389, 2925)(1390, 2926)(1391, 2927)(1392, 2928)(1393, 2929)(1394, 2930)(1395, 2931)(1396, 2932)(1397, 2933)(1398, 2934)(1399, 2935)(1400, 2936)(1401, 2937)(1402, 2938)(1403, 2939)(1404, 2940)(1405, 2941)(1406, 2942)(1407, 2943)(1408, 2944)(1409, 2945)(1410, 2946)(1411, 2947)(1412, 2948)(1413, 2949)(1414, 2950)(1415, 2951)(1416, 2952)(1417, 2953)(1418, 2954)(1419, 2955)(1420, 2956)(1421, 2957)(1422, 2958)(1423, 2959)(1424, 2960)(1425, 2961)(1426, 2962)(1427, 2963)(1428, 2964)(1429, 2965)(1430, 2966)(1431, 2967)(1432, 2968)(1433, 2969)(1434, 2970)(1435, 2971)(1436, 2972)(1437, 2973)(1438, 2974)(1439, 2975)(1440, 2976)(1441, 2977)(1442, 2978)(1443, 2979)(1444, 2980)(1445, 2981)(1446, 2982)(1447, 2983)(1448, 2984)(1449, 2985)(1450, 2986)(1451, 2987)(1452, 2988)(1453, 2989)(1454, 2990)(1455, 2991)(1456, 2992)(1457, 2993)(1458, 2994)(1459, 2995)(1460, 2996)(1461, 2997)(1462, 2998)(1463, 2999)(1464, 3000)(1465, 3001)(1466, 3002)(1467, 3003)(1468, 3004)(1469, 3005)(1470, 3006)(1471, 3007)(1472, 3008)(1473, 3009)(1474, 3010)(1475, 3011)(1476, 3012)(1477, 3013)(1478, 3014)(1479, 3015)(1480, 3016)(1481, 3017)(1482, 3018)(1483, 3019)(1484, 3020)(1485, 3021)(1486, 3022)(1487, 3023)(1488, 3024)(1489, 3025)(1490, 3026)(1491, 3027)(1492, 3028)(1493, 3029)(1494, 3030)(1495, 3031)(1496, 3032)(1497, 3033)(1498, 3034)(1499, 3035)(1500, 3036)(1501, 3037)(1502, 3038)(1503, 3039)(1504, 3040)(1505, 3041)(1506, 3042)(1507, 3043)(1508, 3044)(1509, 3045)(1510, 3046)(1511, 3047)(1512, 3048)(1513, 3049)(1514, 3050)(1515, 3051)(1516, 3052)(1517, 3053)(1518, 3054)(1519, 3055)(1520, 3056)(1521, 3057)(1522, 3058)(1523, 3059)(1524, 3060)(1525, 3061)(1526, 3062)(1527, 3063)(1528, 3064)(1529, 3065)(1530, 3066)(1531, 3067)(1532, 3068)(1533, 3069)(1534, 3070)(1535, 3071)(1536, 3072)
	local type(s) :: { ( 4, 16 ), ( 4, 16, 4, 16, 4, 16 ) }
Outer automorphisms :: reflexible
Dual of E17.2382
Graph:: simple bipartite
	v = 1024 e = 1536 f = 480
	degree seq :: [ 2^768, 6^256 ]

E17.2384 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 7})
Quotient :: halfedge
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X2^2, (X1^-1 * X2)^3, X1^7, (X1^2 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-2 * X2 * X1)^2, X2 * X1^2 * X2 * X1^-2 * X2 * X1 * X2 * X1^-1 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-3 * X2 * X1^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 5, 11, 20, 10, 4)(3, 7, 15, 26, 30, 17, 8)(6, 13, 24, 39, 42, 25, 14)(9, 18, 31, 49, 46, 28, 16)(12, 22, 37, 57, 60, 38, 23)(19, 33, 52, 77, 76, 51, 32)(21, 35, 55, 81, 84, 56, 36)(27, 44, 67, 97, 100, 68, 45)(29, 47, 70, 102, 91, 62, 40)(34, 54, 80, 115, 114, 79, 53)(41, 63, 92, 130, 123, 86, 58)(43, 65, 95, 134, 137, 96, 66)(48, 72, 105, 147, 146, 104, 71)(50, 74, 108, 151, 154, 109, 75)(59, 87, 124, 172, 165, 118, 82)(61, 89, 127, 176, 179, 128, 90)(64, 94, 133, 185, 184, 132, 93)(69, 101, 142, 197, 193, 139, 98)(73, 106, 149, 206, 209, 150, 107)(78, 112, 158, 217, 220, 159, 113)(83, 119, 166, 228, 224, 162, 116)(85, 121, 169, 232, 235, 170, 122)(88, 126, 175, 241, 240, 174, 125)(99, 140, 194, 264, 257, 188, 135)(103, 144, 201, 272, 275, 202, 145)(110, 155, 214, 290, 286, 211, 152)(111, 156, 215, 292, 295, 216, 157)(117, 163, 225, 304, 307, 226, 164)(120, 168, 231, 313, 312, 230, 167)(129, 180, 247, 333, 329, 244, 177)(131, 182, 250, 337, 340, 251, 183)(136, 189, 258, 348, 279, 205, 148)(138, 191, 261, 352, 355, 262, 192)(141, 196, 267, 361, 360, 266, 195)(143, 199, 270, 366, 369, 271, 200)(153, 212, 287, 387, 380, 281, 207)(160, 221, 300, 403, 399, 297, 218)(161, 222, 301, 405, 408, 302, 223)(171, 236, 319, 662, 1065, 316, 233)(173, 238, 322, 504, 503, 323, 239)(178, 245, 330, 665, 344, 254, 186)(181, 248, 335, 684, 993, 336, 249)(187, 255, 345, 629, 628, 346, 256)(190, 260, 351, 703, 1151, 350, 259)(198, 208, 282, 381, 575, 365, 269)(203, 276, 374, 731, 1123, 371, 273)(204, 277, 375, 733, 966, 376, 278)(210, 284, 384, 517, 516, 385, 285)(213, 289, 390, 751, 1190, 389, 288)(219, 298, 400, 764, 1103, 394, 293)(227, 308, 646, 1093, 991, 1040, 305)(229, 310, 528, 469, 468, 525, 311)(234, 317, 657, 1095, 1327, 326, 242)(237, 320, 664, 1112, 1036, 1046, 321)(243, 327, 674, 568, 567, 706, 328)(246, 332, 679, 1130, 1294, 886, 331)(252, 341, 691, 1139, 1284, 868, 338)(253, 342, 693, 922, 921, 879, 343)(263, 356, 711, 1163, 1045, 965, 353)(265, 358, 561, 493, 494, 562, 359)(268, 363, 720, 1017, 930, 969, 364)(274, 372, 727, 1176, 1333, 1188, 367)(280, 378, 737, 761, 760, 897, 379)(283, 383, 742, 1183, 1256, 829, 382)(291, 294, 395, 571, 572, 718, 392)(296, 397, 557, 490, 489, 554, 398)(299, 402, 767, 1202, 1088, 951, 401)(303, 409, 776, 1144, 1034, 1115, 406)(306, 643, 766, 768, 1204, 1306, 314)(309, 648, 1026, 1222, 1106, 1010, 777)(315, 576, 622, 533, 532, 619, 577)(318, 660, 1107, 1221, 1271, 848, 658)(324, 670, 1118, 1302, 1267, 843, 666)(325, 672, 839, 871, 869, 840, 906)(334, 368, 600, 520, 521, 601, 553)(339, 688, 858, 1156, 1175, 1055, 685)(347, 641, 1004, 1206, 772, 778, 696)(349, 460, 486, 444, 443, 483, 461)(354, 708, 816, 1244, 1343, 1199, 362)(357, 713, 961, 1181, 1009, 1066, 1073)(370, 505, 540, 477, 476, 537, 506)(373, 730, 1147, 1210, 1301, 900, 728)(377, 736, 940, 1085, 1007, 1020, 734)(386, 621, 1060, 1171, 723, 729, 744)(388, 502, 534, 474, 475, 535, 501)(391, 753, 859, 971, 895, 929, 936)(393, 755, 866, 650, 649, 867, 945)(396, 758, 1193, 1255, 1239, 809, 756)(404, 407, 773, 632, 633, 1075, 750)(410, 414, 429, 413, 411, 420, 419)(412, 424, 438, 417, 416, 434, 426)(415, 432, 450, 423, 422, 447, 433)(418, 439, 453, 425, 427, 455, 436)(421, 445, 465, 431, 430, 462, 446)(428, 457, 478, 440, 441, 479, 456)(435, 470, 498, 452, 451, 495, 471)(437, 473, 491, 448, 454, 500, 466)(442, 482, 510, 458, 459, 511, 481)(449, 492, 518, 463, 467, 523, 487)(464, 519, 546, 484, 488, 551, 513)(472, 531, 569, 496, 499, 573, 529)(480, 542, 588, 509, 508, 585, 543)(485, 547, 590, 512, 514, 592, 545)(497, 570, 611, 526, 530, 616, 564)(507, 584, 630, 538, 541, 634, 582)(515, 594, 652, 548, 549, 654, 593)(522, 606, 676, 555, 558, 682, 603)(524, 607, 690, 560, 559, 686, 608)(527, 612, 624, 536, 565, 700, 579)(539, 631, 739, 580, 583, 748, 625)(544, 640, 763, 586, 589, 770, 638)(550, 663, 1024, 595, 597, 1027, 656)(552, 667, 919, 599, 598, 920, 669)(556, 677, 695, 563, 604, 1014, 610)(566, 705, 1051, 613, 614, 1052, 702)(574, 626, 977, 618, 581, 740, 722)(578, 732, 1059, 620, 623, 1062, 726)(587, 765, 1079, 636, 639, 1082, 675)(591, 1018, 1086, 642, 647, 1094, 738)(596, 1025, 1033, 602, 659, 962, 673)(605, 735, 1129, 678, 680, 1132, 1038)(609, 1042, 1076, 687, 692, 1140, 1044)(615, 1054, 1134, 707, 712, 1164, 1056)(617, 988, 904, 715, 714, 902, 990)(627, 1067, 1133, 741, 743, 1184, 1069)(635, 757, 942, 754, 637, 1000, 1078)(644, 1089, 1102, 655, 984, 910, 1090)(645, 1041, 1330, 1226, 1247, 820, 1087)(651, 1097, 1262, 1316, 1192, 863, 947)(653, 914, 817, 899, 844, 862, 874)(661, 1109, 1211, 780, 1108, 1312, 1111)(668, 1116, 890, 1058, 1180, 1005, 1113)(671, 1120, 1001, 811, 1119, 1234, 1122)(681, 978, 909, 1048, 950, 992, 999)(683, 1031, 939, 979, 724, 937, 1032)(689, 870, 1287, 1212, 1305, 935, 1137)(694, 698, 975, 1201, 948, 1084, 1142)(697, 1145, 794, 1179, 1328, 1154, 704)(699, 854, 1160, 1225, 1158, 1039, 1149)(701, 892, 827, 855, 853, 828, 889)(709, 1159, 1168, 719, 894, 983, 762)(710, 967, 1321, 1213, 1289, 873, 1157)(716, 1166, 1297, 1308, 1250, 823, 987)(717, 861, 807, 832, 830, 808, 857)(721, 1104, 908, 1023, 1080, 976, 1169)(725, 1172, 1313, 1283, 1232, 801, 1030)(745, 1186, 838, 1125, 1341, 1098, 752)(746, 1148, 1114, 884, 1061, 1237, 1178)(747, 915, 1013, 1264, 1083, 1124, 1019)(749, 955, 877, 916, 917, 875, 957)(759, 1195, 1053, 804, 1194, 1286, 1197)(769, 943, 835, 934, 864, 893, 901)(771, 1028, 913, 1189, 774, 1074, 1191)(775, 1117, 1336, 1238, 1228, 797, 1207)(779, 805, 781, 791, 785, 783, 793)(782, 819, 788, 800, 798, 789, 814)(784, 1214, 1320, 1246, 1091, 1265, 1216)(786, 837, 795, 812, 810, 796, 834)(787, 1099, 1323, 1288, 1161, 1299, 1219)(790, 842, 802, 815, 821, 799, 846)(792, 1223, 1309, 1227, 1208, 1279, 1185)(803, 881, 824, 847, 849, 822, 883)(806, 1071, 1337, 1270, 1131, 1155, 1236)(813, 1242, 1198, 1215, 1340, 1092, 1141)(818, 1245, 1258, 1231, 1173, 1314, 974)(825, 926, 852, 885, 887, 850, 928)(826, 996, 1324, 1243, 1307, 1057, 1253)(831, 1187, 1220, 1280, 998, 1263, 1003)(833, 1229, 1070, 1170, 1344, 1209, 1259)(836, 1261, 1276, 1218, 1339, 1162, 1015)(841, 1266, 1241, 1249, 1127, 1298, 938)(845, 1269, 1096, 1105, 1342, 1110, 1063)(851, 954, 1319, 1260, 1281, 1135, 1274)(856, 1240, 995, 1064, 1334, 1196, 1277)(860, 1278, 1146, 1177, 1338, 1153, 963)(865, 933, 1315, 1224, 1303, 1011, 1275)(872, 997, 912, 949, 952, 907, 1002)(876, 925, 1310, 1248, 1252, 1182, 1291)(878, 1047, 1332, 1121, 1203, 980, 1268)(880, 1292, 1230, 1273, 1049, 1282, 903)(882, 1293, 1029, 1128, 1329, 1037, 1165)(888, 1257, 953, 1143, 1335, 1068, 1295)(891, 1296, 1272, 1235, 1325, 1138, 911)(896, 970, 1322, 1167, 1317, 958, 1251)(898, 1300, 1217, 1290, 972, 1254, 918)(905, 1233, 932, 1016, 1326, 1174, 1304)(923, 1072, 964, 1008, 982, 959, 1077)(924, 1136, 1331, 1043, 1318, 944, 1285)(927, 1150, 986, 1050, 1152, 994, 1311)(931, 1100, 956, 1022, 1006, 973, 1101)(941, 1126, 985, 1035, 960, 981, 1021)(946, 1012, 1205, 968, 1200, 989, 1081)
	L = (1, 3)(2, 6)(4, 9)(5, 12)(7, 16)(8, 13)(10, 19)(11, 21)(14, 22)(15, 27)(17, 29)(18, 32)(20, 34)(23, 35)(24, 40)(25, 41)(26, 43)(28, 44)(30, 48)(31, 50)(33, 53)(36, 54)(37, 58)(38, 59)(39, 61)(42, 64)(45, 65)(46, 69)(47, 71)(49, 73)(51, 74)(52, 78)(55, 82)(56, 83)(57, 85)(60, 88)(62, 89)(63, 93)(66, 72)(67, 98)(68, 99)(70, 103)(75, 106)(76, 110)(77, 111)(79, 112)(80, 116)(81, 117)(84, 120)(86, 121)(87, 125)(90, 94)(91, 129)(92, 131)(95, 135)(96, 136)(97, 138)(100, 141)(101, 107)(102, 143)(104, 144)(105, 148)(108, 152)(109, 153)(113, 156)(114, 160)(115, 161)(118, 163)(119, 167)(122, 126)(123, 171)(124, 173)(127, 177)(128, 178)(130, 181)(132, 182)(133, 186)(134, 187)(137, 190)(139, 191)(140, 195)(142, 198)(145, 199)(146, 203)(147, 204)(149, 207)(150, 208)(151, 210)(154, 213)(155, 157)(158, 218)(159, 219)(162, 222)(164, 168)(165, 227)(166, 229)(169, 233)(170, 234)(172, 237)(174, 238)(175, 242)(176, 243)(179, 246)(180, 200)(183, 248)(184, 252)(185, 253)(188, 255)(189, 259)(192, 196)(193, 263)(194, 265)(197, 268)(201, 273)(202, 274)(205, 277)(206, 280)(209, 283)(211, 284)(212, 288)(214, 291)(215, 293)(216, 294)(217, 296)(220, 299)(221, 223)(224, 303)(225, 305)(226, 306)(228, 309)(230, 310)(231, 314)(232, 315)(235, 318)(236, 249)(239, 320)(240, 324)(241, 325)(244, 327)(245, 331)(247, 334)(250, 338)(251, 339)(254, 342)(256, 260)(257, 347)(258, 349)(261, 353)(262, 354)(264, 357)(266, 358)(267, 362)(269, 363)(270, 367)(271, 368)(272, 370)(275, 373)(276, 278)(279, 377)(281, 378)(282, 382)(285, 289)(286, 386)(287, 388)(290, 391)(292, 393)(295, 396)(297, 397)(298, 401)(300, 404)(301, 406)(302, 407)(304, 524)(307, 645)(308, 321)(311, 648)(312, 651)(313, 653)(316, 576)(317, 658)(319, 515)(322, 666)(323, 668)(326, 672)(328, 332)(329, 675)(330, 442)(333, 681)(335, 685)(336, 594)(337, 435)(340, 689)(341, 343)(344, 694)(345, 696)(346, 697)(348, 699)(350, 460)(351, 704)(352, 480)(355, 710)(356, 364)(359, 713)(360, 716)(361, 717)(365, 721)(366, 701)(369, 725)(371, 505)(372, 728)(374, 605)(375, 734)(376, 735)(379, 383)(380, 738)(381, 421)(384, 744)(385, 745)(387, 747)(389, 502)(390, 752)(392, 753)(394, 755)(395, 756)(398, 402)(399, 762)(400, 472)(403, 769)(405, 552)(408, 775)(409, 777)(410, 678)(411, 780)(412, 632)(413, 613)(414, 784)(415, 571)(416, 787)(417, 548)(418, 766)(419, 741)(420, 792)(422, 794)(423, 586)(424, 797)(425, 520)(426, 687)(427, 801)(428, 657)(429, 804)(430, 806)(431, 538)(432, 809)(433, 811)(434, 813)(436, 620)(437, 816)(438, 818)(439, 820)(440, 493)(441, 823)(443, 826)(444, 496)(445, 829)(446, 831)(447, 833)(448, 504)(449, 727)(450, 836)(451, 838)(452, 555)(453, 841)(454, 843)(455, 845)(456, 707)(457, 848)(458, 474)(459, 851)(461, 854)(462, 856)(463, 469)(464, 858)(465, 860)(466, 595)(467, 863)(468, 865)(470, 868)(471, 870)(473, 873)(475, 876)(476, 878)(477, 526)(478, 880)(479, 882)(481, 884)(482, 886)(483, 888)(484, 490)(485, 890)(486, 891)(487, 642)(488, 894)(489, 896)(491, 898)(492, 900)(494, 903)(495, 905)(497, 908)(498, 910)(499, 911)(500, 913)(501, 915)(503, 918)(506, 730)(507, 776)(508, 924)(509, 580)(510, 925)(511, 927)(512, 517)(513, 772)(514, 729)(516, 932)(518, 933)(519, 935)(521, 938)(522, 940)(523, 942)(525, 944)(527, 946)(528, 947)(529, 948)(530, 659)(531, 951)(532, 953)(533, 563)(534, 954)(535, 956)(536, 568)(537, 958)(539, 960)(540, 962)(541, 963)(542, 965)(543, 967)(544, 646)(545, 636)(546, 970)(547, 972)(549, 974)(550, 975)(551, 977)(553, 978)(554, 980)(556, 982)(557, 983)(558, 984)(559, 986)(560, 602)(561, 987)(562, 989)(564, 991)(565, 639)(566, 711)(567, 995)(569, 996)(570, 998)(572, 1001)(573, 939)(574, 629)(575, 1003)(577, 660)(578, 1004)(579, 723)(581, 1006)(582, 1007)(583, 604)(584, 1010)(585, 1011)(587, 999)(588, 1014)(589, 1015)(590, 1016)(591, 1019)(592, 700)(593, 1021)(596, 952)(597, 1028)(598, 1029)(599, 655)(600, 1030)(601, 964)(603, 1034)(606, 1039)(607, 1040)(608, 1041)(609, 765)(610, 1045)(611, 1047)(612, 1049)(614, 1053)(615, 1018)(616, 690)(617, 733)(618, 719)(619, 1057)(621, 936)(622, 748)(623, 1063)(624, 1064)(625, 1065)(626, 778)(627, 1060)(628, 1070)(630, 1071)(631, 671)(633, 1076)(634, 904)(635, 761)(637, 724)(638, 1080)(640, 1046)(641, 1073)(643, 1087)(644, 917)(647, 757)(649, 1096)(650, 771)(652, 1099)(654, 912)(656, 1103)(661, 691)(662, 981)(663, 746)(664, 1113)(665, 1114)(667, 1115)(669, 1117)(670, 906)(673, 1123)(674, 1082)(676, 1125)(677, 1127)(679, 1131)(680, 1133)(682, 919)(683, 922)(684, 825)(686, 1135)(688, 1137)(692, 1141)(693, 1142)(695, 1143)(698, 1148)(702, 1077)(703, 822)(705, 969)(706, 1155)(708, 1157)(709, 901)(712, 1165)(714, 774)(715, 1153)(718, 985)(720, 1169)(722, 1170)(726, 1175)(731, 907)(732, 1066)(736, 1149)(737, 1094)(739, 1136)(740, 1182)(742, 1161)(743, 1185)(749, 1017)(750, 943)(751, 786)(754, 1192)(758, 945)(759, 1159)(760, 1198)(763, 1179)(764, 1201)(767, 1203)(768, 1059)(770, 877)(773, 1207)(779, 1210)(781, 1212)(782, 1202)(783, 1213)(785, 1217)(788, 1220)(789, 1221)(790, 1222)(791, 1174)(793, 1224)(795, 1225)(796, 1226)(798, 1230)(799, 1130)(800, 1196)(802, 1234)(803, 1112)(805, 1167)(807, 1237)(808, 1238)(810, 1241)(812, 1068)(814, 1243)(815, 1209)(817, 1181)(819, 1121)(821, 1248)(824, 1140)(827, 1164)(828, 1255)(830, 1258)(832, 994)(834, 1260)(835, 1048)(837, 1098)(839, 1264)(840, 1265)(842, 1043)(844, 1184)(846, 1270)(847, 1092)(849, 1272)(850, 1183)(852, 1062)(853, 1276)(855, 1037)(857, 1166)(859, 1126)(861, 1199)(862, 1279)(864, 1052)(866, 1027)(867, 1283)(869, 1286)(871, 931)(872, 971)(874, 1097)(875, 1139)(879, 1109)(881, 1005)(883, 1154)(885, 1110)(887, 1146)(889, 1172)(892, 1188)(893, 1195)(895, 1132)(897, 1299)(899, 968)(902, 1302)(909, 1072)(914, 1306)(916, 1162)(920, 1308)(921, 1309)(923, 934)(926, 1055)(928, 1288)(929, 1067)(930, 1312)(937, 1316)(941, 997)(949, 1314)(950, 1075)(955, 976)(957, 1111)(959, 1163)(961, 1200)(966, 1320)(973, 1168)(979, 1138)(988, 1020)(990, 1246)(992, 1042)(993, 1323)(1000, 1325)(1002, 1038)(1008, 1298)(1009, 1204)(1012, 1171)(1013, 1100)(1022, 1291)(1023, 1093)(1024, 1244)(1025, 1173)(1026, 1318)(1031, 1084)(1032, 1227)(1033, 1050)(1035, 1120)(1036, 1328)(1044, 1180)(1051, 1108)(1054, 1124)(1056, 1333)(1058, 1079)(1061, 1311)(1069, 1205)(1074, 1338)(1078, 1215)(1081, 1282)(1083, 1327)(1085, 1144)(1086, 1176)(1088, 1324)(1089, 1339)(1090, 1284)(1091, 1118)(1095, 1134)(1101, 1197)(1102, 1128)(1104, 1263)(1105, 1191)(1106, 1337)(1107, 1307)(1116, 1254)(1119, 1259)(1122, 1331)(1129, 1214)(1145, 1229)(1147, 1317)(1150, 1274)(1151, 1296)(1152, 1231)(1156, 1206)(1158, 1341)(1160, 1295)(1177, 1342)(1178, 1343)(1186, 1233)(1187, 1277)(1189, 1267)(1190, 1319)(1193, 1313)(1194, 1216)(1208, 1262)(1211, 1223)(1218, 1329)(1219, 1242)(1228, 1245)(1232, 1269)(1235, 1340)(1236, 1240)(1239, 1261)(1247, 1266)(1249, 1335)(1250, 1293)(1251, 1268)(1252, 1344)(1253, 1257)(1256, 1278)(1271, 1292)(1273, 1334)(1275, 1285)(1280, 1332)(1281, 1330)(1287, 1304)(1289, 1300)(1290, 1326)(1294, 1310)(1297, 1336)(1301, 1315)(1303, 1321)(1305, 1322)
	local type(s) :: { ( 3^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 192 e = 672 f = 448
	degree seq :: [ 7^192 ]

E17.2385 :: Family: { 2Pex } :: Oriented family(ies): { E1a }
Signature :: (0; {2, 3, 7})
Quotient :: halfedge
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X2^2, X1^3, (X2 * X1^-1)^7, (X2 * X1 * X2 * X1^-1)^8, (X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^2, (X2 * X1 * X2 * X1^-1 * X2 * X1 * X2 * X1 * X2 * X1^-1 * X2 * X1^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 6, 7)(5, 9, 10)(8, 13, 14)(11, 17, 18)(12, 19, 20)(15, 23, 24)(16, 25, 26)(21, 31, 32)(22, 33, 34)(27, 39, 40)(28, 41, 42)(29, 43, 44)(30, 45, 46)(35, 51, 52)(36, 53, 54)(37, 55, 56)(38, 57, 58)(47, 66, 67)(48, 68, 69)(49, 70, 71)(50, 72, 59)(60, 79, 80)(61, 81, 82)(62, 83, 84)(63, 85, 86)(64, 87, 88)(65, 89, 90)(73, 97, 98)(74, 99, 100)(75, 101, 102)(76, 103, 104)(77, 105, 106)(78, 107, 108)(91, 119, 120)(92, 121, 122)(93, 123, 124)(94, 125, 126)(95, 127, 128)(96, 129, 130)(109, 141, 142)(110, 143, 144)(111, 145, 146)(112, 147, 148)(113, 149, 150)(114, 151, 152)(115, 153, 154)(116, 155, 156)(117, 157, 158)(118, 159, 160)(131, 171, 172)(132, 173, 174)(133, 175, 176)(134, 177, 178)(135, 179, 180)(136, 181, 182)(137, 183, 184)(138, 185, 186)(139, 187, 188)(140, 189, 190)(161, 207, 208)(162, 209, 210)(163, 211, 212)(164, 213, 214)(165, 215, 216)(166, 217, 218)(167, 219, 220)(168, 221, 222)(169, 223, 224)(170, 225, 226)(191, 407, 841)(192, 408, 842)(193, 410, 843)(194, 412, 332)(195, 414, 851)(196, 416, 505)(197, 241, 504)(198, 418, 857)(199, 259, 547)(200, 421, 733)(201, 343, 732)(202, 423, 868)(203, 425, 320)(204, 427, 848)(205, 429, 878)(206, 431, 375)(227, 463, 466)(228, 467, 465)(229, 470, 473)(230, 474, 469)(231, 476, 479)(232, 480, 472)(233, 483, 482)(234, 485, 487)(235, 488, 478)(236, 491, 490)(237, 493, 445)(238, 496, 498)(239, 499, 486)(240, 502, 501)(242, 507, 509)(243, 510, 495)(244, 513, 512)(245, 515, 497)(246, 517, 391)(247, 519, 387)(248, 521, 523)(249, 524, 506)(250, 527, 526)(251, 529, 508)(252, 531, 449)(253, 533, 535)(254, 536, 538)(255, 539, 434)(256, 432, 520)(257, 543, 542)(258, 545, 522)(260, 549, 551)(261, 552, 554)(262, 555, 351)(263, 381, 400)(264, 560, 559)(265, 562, 534)(266, 565, 564)(267, 373, 537)(268, 569, 568)(269, 571, 540)(270, 573, 575)(271, 576, 578)(272, 579, 376)(273, 439, 458)(274, 584, 583)(275, 586, 550)(276, 589, 588)(277, 330, 553)(278, 593, 592)(279, 595, 557)(280, 597, 599)(281, 600, 602)(282, 603, 315)(283, 606, 608)(284, 609, 611)(285, 354, 363)(286, 614, 613)(287, 616, 574)(288, 619, 618)(289, 349, 577)(290, 623, 622)(291, 625, 581)(292, 627, 629)(293, 630, 632)(294, 633, 334)(295, 636, 637)(296, 638, 640)(297, 382, 598)(298, 643, 642)(299, 310, 601)(300, 615, 646)(301, 648, 605)(302, 318, 337)(303, 652, 651)(304, 456, 607)(305, 655, 654)(306, 417, 610)(307, 659, 658)(308, 661, 662)(309, 663, 665)(311, 668, 670)(312, 671, 673)(313, 440, 628)(314, 676, 675)(316, 561, 679)(317, 680, 635)(319, 684, 683)(321, 687, 686)(322, 689, 639)(323, 692, 691)(324, 694, 452)(325, 696, 360)(326, 699, 700)(327, 701, 703)(328, 704, 705)(329, 706, 708)(331, 711, 713)(333, 716, 715)(335, 585, 719)(336, 720, 667)(338, 647, 722)(339, 398, 669)(340, 725, 724)(341, 727, 672)(342, 730, 729)(344, 734, 395)(345, 736, 737)(346, 738, 740)(347, 741, 742)(348, 743, 745)(350, 747, 749)(352, 528, 751)(353, 752, 698)(355, 756, 755)(356, 757, 448)(357, 759, 702)(358, 386, 761)(359, 451, 393)(361, 626, 765)(362, 766, 710)(364, 594, 768)(365, 769, 712)(366, 771, 384)(367, 773, 394)(368, 775, 453)(369, 777, 778)(370, 779, 781)(371, 782, 783)(372, 784, 786)(374, 788, 790)(377, 793, 794)(378, 544, 792)(379, 795, 797)(380, 799, 735)(383, 804, 802)(385, 806, 409)(388, 808, 739)(389, 811, 813)(390, 444, 810)(392, 817, 774)(396, 823, 824)(397, 572, 822)(399, 827, 650)(401, 830, 831)(402, 624, 829)(403, 832, 834)(404, 836, 748)(405, 838, 433)(406, 839, 442)(411, 845, 847)(413, 849, 850)(415, 853, 855)(419, 860, 837)(420, 746, 852)(422, 865, 867)(424, 870, 871)(426, 873, 875)(428, 876, 877)(430, 879, 881)(435, 886, 887)(436, 514, 885)(437, 888, 890)(438, 892, 750)(441, 897, 895)(443, 899, 494)(446, 900, 780)(447, 902, 904)(450, 908, 695)(454, 914, 915)(455, 596, 913)(457, 918, 682)(459, 921, 922)(460, 570, 920)(461, 923, 925)(462, 927, 789)(464, 932, 933)(468, 939, 940)(471, 803, 944)(475, 949, 950)(477, 896, 954)(481, 917, 958)(484, 961, 962)(489, 968, 969)(492, 973, 974)(500, 826, 980)(503, 979, 983)(511, 988, 989)(516, 990, 991)(518, 966, 982)(525, 998, 999)(530, 1000, 1001)(532, 946, 960)(541, 1009, 1010)(546, 1011, 1012)(548, 956, 972)(556, 1020, 1021)(558, 1023, 1024)(563, 1025, 1026)(566, 936, 948)(567, 1029, 1030)(580, 1038, 1039)(582, 1041, 1042)(587, 1043, 1044)(590, 935, 930)(591, 798, 1047)(604, 1052, 1016)(612, 856, 1058)(617, 1060, 1061)(620, 931, 938)(621, 891, 1064)(631, 1067, 1068)(634, 1069, 1034)(641, 1074, 1076)(644, 945, 937)(645, 926, 1080)(649, 1081, 1082)(653, 1084, 1086)(656, 943, 957)(657, 1089, 1091)(660, 985, 971)(664, 1094, 1095)(666, 1096, 1005)(674, 1103, 1105)(677, 955, 947)(678, 864, 1109)(681, 1111, 1112)(685, 1085, 1115)(688, 953, 967)(690, 1118, 1120)(693, 995, 791)(697, 1124, 1055)(707, 1130, 1131)(709, 840, 907)(714, 1136, 862)(717, 965, 929)(718, 835, 1129)(721, 1142, 1143)(723, 1114, 1145)(726, 964, 883)(728, 1148, 1150)(731, 976, 884)(744, 1156, 1157)(753, 1163, 1164)(754, 882, 994)(758, 975, 801)(760, 1167, 1169)(762, 1007, 993)(763, 978, 942)(764, 1172, 1093)(767, 1175, 1176)(770, 903, 1177)(772, 816, 787)(776, 1180, 1099)(785, 1183, 1184)(796, 825, 1190)(800, 1193, 1194)(805, 866, 1197)(807, 984, 894)(809, 1198, 1200)(812, 1204, 928)(814, 1207, 1208)(815, 1019, 1003)(818, 1210, 1212)(819, 833, 1214)(820, 987, 952)(821, 1215, 1051)(828, 1220, 1221)(844, 1031, 846)(854, 1228, 1192)(858, 1133, 1233)(859, 1154, 861)(863, 1059, 1238)(869, 1222, 1240)(872, 970, 874)(880, 1242, 893)(889, 916, 1245)(898, 1211, 1250)(901, 1251, 1253)(905, 1257, 1258)(906, 1037, 1014)(909, 1162, 1260)(910, 924, 1262)(911, 997, 963)(912, 1263, 1066)(919, 1226, 1224)(934, 1053, 1017)(941, 1070, 1035)(951, 1097, 1006)(959, 1125, 1056)(977, 1139, 1008)(981, 1122, 1100)(986, 1078, 1022)(992, 1171, 1134)(996, 1107, 1040)(1002, 1202, 1160)(1004, 1046, 1054)(1013, 1166, 1187)(1015, 1063, 1071)(1018, 1188, 1181)(1027, 1231, 1235)(1028, 1098, 1033)(1032, 1117, 1153)(1036, 1135, 1127)(1045, 1206, 1281)(1048, 1110, 1189)(1049, 1147, 1161)(1050, 1088, 1126)(1057, 1101, 1072)(1062, 1256, 1286)(1065, 1141, 1244)(1073, 1297, 1209)(1075, 1274, 1223)(1077, 1301, 1290)(1079, 1144, 1123)(1083, 1152, 1108)(1087, 1306, 1291)(1090, 1268, 1132)(1092, 1174, 1292)(1102, 1239, 1259)(1104, 1271, 1191)(1106, 1302, 1295)(1113, 1179, 1140)(1116, 1314, 1296)(1119, 1269, 1158)(1121, 1217, 1298)(1128, 1317, 1319)(1137, 1273, 1246)(1138, 1232, 1309)(1146, 1305, 1307)(1149, 1270, 1185)(1151, 1265, 1311)(1155, 1325, 1299)(1159, 1328, 1203)(1165, 1236, 1173)(1168, 1267, 1229)(1170, 1280, 1318)(1178, 1294, 1266)(1182, 1225, 1312)(1186, 1335, 1255)(1195, 1300, 1216)(1196, 1241, 1247)(1199, 1272, 1337)(1201, 1276, 1326)(1205, 1289, 1218)(1213, 1320, 1237)(1219, 1341, 1252)(1227, 1342, 1288)(1230, 1308, 1316)(1234, 1322, 1284)(1243, 1334, 1304)(1248, 1313, 1264)(1249, 1310, 1285)(1254, 1278, 1333)(1261, 1327, 1303)(1275, 1340, 1329)(1277, 1332, 1336)(1279, 1339, 1321)(1282, 1315, 1324)(1283, 1338, 1344)(1287, 1323, 1330)(1293, 1331, 1343)
	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, 51)(52, 73)(53, 74)(54, 75)(55, 76)(56, 77)(57, 78)(58, 66)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)(79, 109)(80, 110)(81, 111)(82, 112)(83, 113)(84, 85)(86, 114)(87, 115)(88, 116)(89, 117)(90, 118)(97, 131)(98, 132)(99, 133)(100, 134)(101, 135)(102, 103)(104, 136)(105, 137)(106, 138)(107, 139)(108, 140)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 125)(126, 166)(127, 167)(128, 168)(129, 169)(130, 170)(141, 191)(142, 192)(143, 193)(144, 145)(146, 194)(147, 195)(148, 196)(149, 197)(150, 198)(151, 199)(152, 200)(153, 201)(154, 202)(155, 203)(156, 157)(158, 204)(159, 205)(160, 206)(171, 375)(172, 377)(173, 379)(174, 175)(176, 382)(177, 384)(178, 385)(179, 387)(180, 389)(181, 391)(182, 392)(183, 394)(184, 396)(185, 398)(186, 187)(188, 401)(189, 403)(190, 405)(207, 433)(208, 435)(209, 437)(210, 211)(212, 440)(213, 442)(214, 443)(215, 445)(216, 447)(217, 449)(218, 450)(219, 452)(220, 454)(221, 456)(222, 223)(224, 459)(225, 461)(226, 407)(227, 464)(228, 468)(229, 471)(230, 475)(231, 477)(232, 481)(233, 484)(234, 428)(235, 489)(236, 492)(237, 494)(238, 371)(239, 500)(240, 503)(241, 505)(242, 328)(243, 511)(244, 514)(245, 516)(246, 518)(247, 409)(248, 347)(249, 525)(250, 528)(251, 530)(252, 532)(253, 308)(254, 345)(255, 413)(256, 541)(257, 544)(258, 546)(259, 548)(260, 280)(261, 369)(262, 556)(263, 558)(264, 561)(265, 563)(266, 566)(267, 567)(268, 570)(269, 572)(270, 292)(271, 326)(272, 580)(273, 582)(274, 585)(275, 587)(276, 590)(277, 591)(278, 594)(279, 596)(281, 424)(282, 604)(283, 312)(284, 295)(285, 612)(286, 615)(287, 617)(288, 620)(289, 621)(290, 624)(291, 626)(293, 631)(294, 634)(296, 311)(297, 641)(298, 644)(299, 645)(300, 647)(301, 649)(302, 650)(303, 593)(304, 653)(305, 656)(306, 657)(307, 660)(309, 664)(310, 666)(313, 674)(314, 677)(315, 678)(316, 652)(317, 681)(318, 682)(319, 623)(320, 685)(321, 688)(322, 690)(323, 693)(324, 695)(325, 697)(327, 331)(329, 707)(330, 709)(332, 714)(333, 717)(334, 718)(335, 684)(336, 721)(337, 710)(338, 569)(339, 723)(340, 726)(341, 728)(342, 731)(343, 733)(344, 426)(346, 350)(348, 744)(349, 746)(351, 750)(352, 614)(353, 753)(354, 754)(355, 659)(356, 758)(357, 760)(358, 762)(359, 763)(360, 764)(361, 756)(362, 767)(363, 667)(364, 543)(365, 770)(366, 772)(367, 774)(368, 776)(370, 374)(372, 785)(373, 787)(376, 698)(378, 560)(380, 800)(381, 801)(383, 692)(386, 807)(388, 809)(390, 815)(393, 820)(395, 821)(397, 804)(399, 828)(400, 605)(402, 513)(404, 837)(406, 840)(408, 724)(410, 538)(411, 419)(412, 501)(414, 852)(415, 854)(416, 769)(417, 773)(418, 858)(420, 862)(421, 863)(422, 866)(423, 869)(425, 479)(427, 564)(429, 632)(430, 880)(431, 616)(432, 883)(434, 735)(436, 584)(438, 893)(439, 894)(441, 730)(444, 882)(446, 901)(448, 906)(451, 911)(453, 912)(455, 897)(457, 919)(458, 635)(460, 527)(462, 928)(463, 929)(465, 534)(466, 574)(467, 937)(469, 550)(470, 942)(472, 508)(473, 607)(474, 947)(476, 952)(478, 522)(480, 930)(482, 598)(483, 884)(485, 963)(486, 497)(487, 669)(488, 938)(490, 628)(491, 971)(493, 951)(495, 540)(496, 977)(498, 712)(499, 948)(502, 791)(504, 934)(506, 557)(507, 986)(509, 748)(510, 957)(512, 672)(515, 960)(517, 993)(519, 941)(520, 581)(521, 996)(523, 789)(524, 967)(526, 610)(529, 972)(531, 1003)(533, 1004)(535, 861)(536, 959)(537, 583)(539, 895)(542, 639)(545, 982)(547, 1014)(549, 1015)(551, 1018)(552, 970)(553, 613)(554, 795)(555, 755)(559, 577)(562, 838)(565, 1028)(568, 702)(571, 983)(573, 1033)(575, 1036)(576, 981)(578, 888)(579, 802)(586, 841)(588, 830)(589, 1046)(592, 739)(595, 962)(597, 1050)(599, 1051)(600, 900)(601, 651)(602, 923)(603, 683)(606, 1019)(608, 1057)(609, 992)(611, 1059)(618, 921)(619, 1063)(622, 780)(625, 974)(627, 1032)(629, 1066)(630, 759)(633, 722)(636, 1037)(637, 1072)(638, 1002)(640, 1073)(642, 1053)(643, 1078)(646, 846)(648, 950)(654, 793)(655, 1088)(658, 874)(661, 1049)(662, 1093)(663, 808)(665, 832)(668, 1007)(670, 1101)(671, 1013)(673, 1102)(675, 1070)(676, 1107)(679, 1110)(680, 933)(686, 886)(687, 1117)(689, 694)(691, 1122)(696, 768)(699, 887)(700, 1127)(701, 1027)(703, 1128)(704, 1083)(705, 1129)(706, 1031)(708, 1133)(711, 995)(713, 1135)(715, 1097)(716, 1139)(719, 1141)(720, 940)(725, 1147)(727, 732)(729, 1125)(734, 829)(736, 842)(737, 1154)(738, 1045)(740, 1155)(741, 1113)(742, 1080)(743, 1048)(745, 1159)(747, 976)(749, 859)(751, 1162)(752, 944)(757, 1166)(761, 1171)(765, 1174)(766, 958)(771, 1152)(775, 920)(777, 794)(778, 1181)(779, 1062)(781, 1182)(782, 1144)(783, 1109)(784, 1065)(786, 1186)(788, 985)(790, 1188)(792, 865)(796, 812)(797, 1191)(798, 1192)(799, 954)(803, 915)(805, 1196)(806, 836)(810, 1202)(811, 1203)(813, 966)(814, 855)(816, 1076)(817, 1209)(818, 1211)(819, 1213)(822, 1217)(823, 1218)(824, 876)(825, 1106)(826, 1219)(827, 969)(831, 1094)(833, 1163)(834, 1158)(835, 1131)(839, 1179)(843, 1223)(844, 1225)(845, 1077)(847, 1227)(848, 1067)(849, 1165)(850, 1047)(851, 1123)(853, 909)(856, 1230)(857, 956)(860, 955)(864, 1184)(867, 1239)(868, 896)(870, 922)(871, 1215)(872, 1241)(873, 1087)(875, 1200)(877, 892)(878, 1132)(879, 1092)(881, 1243)(885, 1210)(889, 903)(890, 1246)(891, 1247)(898, 1249)(899, 927)(902, 1255)(904, 946)(905, 1197)(907, 1105)(908, 1259)(910, 1261)(913, 1265)(914, 1266)(916, 1138)(917, 1267)(918, 980)(924, 1193)(925, 1185)(926, 1157)(931, 1086)(932, 1268)(935, 1145)(936, 1115)(939, 1269)(943, 1061)(945, 1177)(949, 1270)(953, 1026)(961, 1271)(964, 1044)(965, 1204)(968, 1272)(973, 1273)(975, 1001)(978, 1194)(979, 1274)(984, 1012)(987, 1242)(988, 1275)(989, 1058)(990, 1276)(991, 994)(997, 1164)(998, 1277)(999, 1024)(1000, 1278)(1005, 1150)(1006, 1183)(1008, 1112)(1009, 1279)(1010, 1042)(1011, 1280)(1016, 1091)(1017, 1130)(1020, 1195)(1021, 1064)(1022, 1143)(1023, 1282)(1025, 1283)(1029, 1285)(1030, 1039)(1034, 1120)(1035, 1156)(1038, 1248)(1040, 1082)(1041, 1287)(1043, 1288)(1052, 1205)(1054, 1176)(1055, 1169)(1056, 1228)(1060, 1293)(1068, 1263)(1069, 1178)(1071, 1221)(1074, 1299)(1075, 1208)(1079, 1216)(1081, 1302)(1084, 1303)(1085, 1304)(1089, 1251)(1090, 1307)(1095, 1172)(1096, 1222)(1098, 1224)(1099, 1253)(1100, 1310)(1103, 1312)(1104, 1258)(1108, 1264)(1111, 1232)(1114, 1237)(1116, 1180)(1118, 1167)(1119, 1291)(1121, 1214)(1124, 1146)(1126, 1316)(1134, 1321)(1136, 1319)(1137, 1322)(1140, 1173)(1142, 1301)(1148, 1198)(1149, 1296)(1151, 1262)(1153, 1324)(1160, 1329)(1161, 1330)(1168, 1286)(1170, 1309)(1175, 1206)(1187, 1336)(1189, 1317)(1190, 1331)(1199, 1235)(1201, 1290)(1207, 1340)(1212, 1238)(1220, 1256)(1226, 1231)(1229, 1233)(1234, 1339)(1236, 1240)(1244, 1325)(1245, 1338)(1250, 1284)(1252, 1281)(1254, 1295)(1257, 1332)(1260, 1297)(1289, 1300)(1292, 1342)(1294, 1313)(1298, 1343)(1305, 1323)(1306, 1308)(1311, 1344)(1314, 1315)(1318, 1327)(1320, 1333)(1326, 1334)(1328, 1337)(1335, 1341)
	local type(s) :: { ( 7^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+ AT+ REG+
Graph:: simple
	v = 448 e = 672 f = 192
	degree seq :: [ 3^448 ]

E17.2386 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 7})
Quotient :: edge
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X2 * X1)^7, (X1 * X2^-1 * X1 * X2)^8, X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, (X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1)^3 ]
Map:: polytopal
	R = (1, 2)(3, 7)(4, 8)(5, 9)(6, 10)(11, 19)(12, 20)(13, 21)(14, 22)(15, 23)(16, 24)(17, 25)(18, 26)(27, 43)(28, 44)(29, 45)(30, 46)(31, 47)(32, 48)(33, 49)(34, 50)(35, 51)(36, 52)(37, 53)(38, 54)(39, 55)(40, 56)(41, 57)(42, 58)(59, 85)(60, 86)(61, 87)(62, 88)(63, 89)(64, 90)(65, 66)(67, 91)(68, 92)(69, 93)(70, 94)(71, 95)(72, 96)(73, 97)(74, 98)(75, 99)(76, 100)(77, 101)(78, 79)(80, 102)(81, 103)(82, 104)(83, 105)(84, 106)(107, 151)(108, 152)(109, 153)(110, 154)(111, 155)(112, 113)(114, 156)(115, 157)(116, 158)(117, 159)(118, 160)(119, 161)(120, 162)(121, 163)(122, 164)(123, 165)(124, 125)(126, 166)(127, 167)(128, 168)(129, 169)(130, 170)(131, 171)(132, 172)(133, 173)(134, 135)(136, 174)(137, 175)(138, 176)(139, 177)(140, 178)(141, 179)(142, 180)(143, 181)(144, 182)(145, 183)(146, 147)(148, 184)(149, 185)(150, 186)(187, 373)(188, 375)(189, 377)(190, 191)(192, 380)(193, 382)(194, 384)(195, 386)(196, 388)(197, 390)(198, 392)(199, 394)(200, 396)(201, 398)(202, 203)(204, 401)(205, 403)(206, 405)(207, 406)(208, 408)(209, 410)(210, 211)(212, 413)(213, 415)(214, 417)(215, 419)(216, 421)(217, 423)(218, 425)(219, 427)(220, 429)(221, 431)(222, 223)(224, 434)(225, 436)(226, 349)(227, 438)(228, 440)(229, 442)(230, 444)(231, 448)(232, 451)(233, 455)(234, 459)(235, 463)(236, 465)(237, 469)(238, 472)(239, 475)(240, 479)(241, 483)(242, 487)(243, 490)(244, 494)(245, 498)(246, 501)(247, 505)(248, 509)(249, 513)(250, 517)(251, 520)(252, 496)(253, 527)(254, 531)(255, 534)(256, 538)(257, 542)(258, 546)(259, 549)(260, 428)(261, 555)(262, 507)(263, 561)(264, 353)(265, 567)(266, 461)(267, 573)(268, 557)(269, 577)(270, 581)(271, 584)(272, 485)(273, 590)(274, 594)(275, 337)(276, 598)(277, 453)(278, 604)(279, 540)(280, 608)(281, 612)(282, 615)(283, 619)(284, 623)(285, 626)(286, 329)(287, 632)(288, 636)(289, 639)(290, 395)(291, 645)(292, 648)(293, 310)(294, 655)(295, 387)(296, 661)(297, 664)(298, 668)(299, 671)(300, 344)(301, 676)(302, 457)(303, 681)(304, 481)(305, 684)(306, 371)(307, 690)(308, 694)(309, 697)(311, 700)(312, 446)(313, 706)(314, 532)(315, 592)(316, 713)(317, 716)(318, 367)(319, 721)(320, 467)(321, 726)(322, 474)(323, 696)(324, 732)(325, 346)(326, 736)(327, 740)(328, 742)(330, 746)(331, 441)(332, 752)(333, 547)(334, 563)(335, 758)(336, 761)(338, 768)(339, 420)(340, 772)(341, 774)(342, 777)(343, 780)(345, 787)(347, 791)(348, 793)(350, 798)(351, 802)(352, 717)(354, 801)(355, 814)(356, 510)(357, 818)(358, 822)(359, 449)(360, 825)(361, 445)(362, 830)(363, 553)(364, 834)(365, 838)(366, 743)(368, 837)(369, 850)(370, 521)(372, 857)(374, 858)(376, 662)(378, 492)(379, 871)(381, 450)(383, 593)(385, 883)(389, 888)(391, 892)(393, 895)(397, 903)(399, 443)(400, 911)(402, 624)(404, 579)(407, 829)(409, 773)(411, 503)(412, 931)(414, 471)(416, 670)(418, 942)(422, 949)(424, 731)(426, 953)(430, 961)(432, 439)(433, 969)(435, 637)(437, 515)(447, 659)(452, 845)(454, 770)(456, 944)(458, 789)(460, 785)(462, 819)(464, 477)(466, 1004)(468, 854)(470, 673)(473, 657)(476, 719)(478, 799)(480, 634)(482, 835)(484, 653)(486, 1025)(488, 529)(489, 630)(491, 1030)(493, 1031)(495, 766)(497, 1036)(499, 536)(500, 643)(502, 1040)(504, 1041)(506, 631)(508, 1046)(511, 544)(512, 652)(514, 1050)(516, 1051)(518, 809)(519, 1054)(522, 551)(523, 620)(524, 1055)(525, 554)(526, 1056)(528, 618)(530, 862)(533, 901)(535, 693)(537, 923)(539, 621)(541, 959)(543, 587)(545, 973)(548, 1077)(550, 739)(552, 1083)(556, 644)(558, 1091)(559, 876)(560, 765)(562, 1093)(564, 800)(565, 1094)(566, 1095)(568, 914)(569, 628)(570, 633)(571, 1096)(572, 1052)(574, 1100)(575, 935)(576, 784)(578, 1102)(580, 1103)(582, 853)(583, 1105)(585, 868)(586, 641)(588, 1106)(589, 808)(591, 1098)(595, 646)(596, 1108)(597, 1109)(599, 884)(600, 650)(601, 656)(602, 1110)(603, 1032)(605, 1113)(606, 1059)(607, 844)(609, 1114)(610, 660)(611, 1092)(613, 962)(614, 1116)(616, 866)(617, 666)(622, 847)(625, 1123)(627, 891)(629, 1129)(635, 831)(638, 1134)(640, 804)(642, 1139)(647, 1143)(649, 1148)(651, 1151)(654, 811)(658, 778)(663, 1136)(665, 763)(667, 1165)(669, 817)(672, 759)(674, 855)(675, 1166)(677, 945)(678, 769)(679, 1167)(680, 997)(682, 1168)(683, 1067)(685, 1079)(686, 771)(687, 848)(688, 747)(689, 1169)(691, 927)(692, 775)(695, 1087)(698, 807)(699, 1172)(701, 734)(702, 782)(703, 788)(704, 1173)(705, 1021)(707, 1175)(708, 1014)(709, 1152)(710, 1125)(711, 790)(712, 1049)(714, 904)(715, 836)(718, 794)(720, 1177)(722, 1178)(723, 815)(724, 1179)(725, 993)(727, 1180)(728, 1080)(729, 1066)(730, 820)(733, 823)(735, 1184)(737, 955)(738, 826)(741, 1071)(744, 889)(745, 1186)(748, 840)(749, 851)(750, 1187)(751, 1042)(753, 1189)(754, 1007)(755, 926)(756, 1146)(757, 1028)(760, 1191)(762, 1195)(764, 1197)(767, 875)(776, 827)(779, 1141)(781, 1211)(783, 1183)(786, 934)(792, 1126)(795, 1219)(796, 1145)(797, 1147)(803, 1224)(805, 1225)(806, 821)(810, 985)(812, 1231)(813, 988)(816, 1234)(824, 1018)(828, 925)(832, 1121)(833, 1163)(839, 948)(841, 922)(842, 856)(843, 1118)(846, 1001)(849, 979)(852, 1254)(859, 1259)(860, 1260)(861, 1161)(863, 1010)(864, 908)(865, 975)(867, 1261)(869, 1248)(870, 995)(872, 1249)(873, 1154)(874, 990)(877, 1263)(878, 1265)(879, 1213)(880, 1013)(881, 1264)(882, 1149)(885, 1267)(886, 1268)(887, 1270)(890, 1269)(893, 964)(894, 1271)(896, 906)(897, 950)(898, 1272)(899, 1273)(900, 1274)(902, 1119)(905, 1275)(907, 1176)(909, 1250)(910, 1086)(912, 1239)(913, 1072)(915, 1277)(916, 1193)(917, 1038)(918, 1111)(919, 1210)(920, 1242)(921, 1278)(924, 989)(928, 1279)(929, 1280)(930, 986)(932, 1237)(933, 1199)(936, 1181)(937, 1282)(938, 1150)(939, 1058)(940, 1281)(941, 1196)(943, 1027)(946, 1283)(947, 1244)(951, 1062)(952, 1240)(954, 965)(956, 1284)(957, 1285)(958, 1287)(960, 1131)(963, 1288)(966, 1115)(967, 1223)(968, 1097)(970, 1276)(971, 1286)(972, 1133)(974, 1019)(976, 1289)(977, 1209)(978, 1002)(980, 1104)(981, 1194)(982, 1085)(983, 1053)(984, 1130)(987, 1033)(991, 1212)(992, 1070)(994, 998)(996, 1022)(999, 1203)(1000, 1229)(1003, 1043)(1005, 1069)(1006, 1170)(1008, 1017)(1009, 1016)(1011, 1061)(1012, 1082)(1015, 1127)(1020, 1075)(1023, 1217)(1024, 1174)(1026, 1290)(1029, 1088)(1034, 1159)(1035, 1112)(1037, 1255)(1039, 1099)(1044, 1258)(1045, 1188)(1047, 1262)(1048, 1204)(1057, 1128)(1060, 1137)(1063, 1101)(1064, 1120)(1065, 1138)(1068, 1081)(1073, 1132)(1074, 1245)(1076, 1140)(1078, 1164)(1084, 1300)(1089, 1226)(1090, 1160)(1107, 1205)(1117, 1207)(1122, 1190)(1124, 1206)(1135, 1185)(1142, 1218)(1144, 1241)(1153, 1306)(1155, 1256)(1156, 1251)(1157, 1335)(1158, 1222)(1162, 1171)(1182, 1326)(1192, 1299)(1198, 1230)(1200, 1228)(1201, 1293)(1202, 1327)(1208, 1302)(1214, 1324)(1215, 1295)(1216, 1337)(1220, 1291)(1221, 1333)(1227, 1343)(1232, 1296)(1233, 1323)(1235, 1341)(1236, 1321)(1238, 1308)(1243, 1330)(1246, 1310)(1247, 1305)(1252, 1298)(1253, 1340)(1257, 1338)(1266, 1336)(1292, 1320)(1294, 1312)(1297, 1318)(1301, 1342)(1303, 1334)(1304, 1344)(1307, 1329)(1309, 1339)(1311, 1328)(1313, 1319)(1314, 1331)(1315, 1332)(1316, 1317)(1322, 1325)(1345, 1347, 1348)(1346, 1349, 1350)(1351, 1355, 1356)(1352, 1357, 1358)(1353, 1359, 1360)(1354, 1361, 1362)(1363, 1371, 1372)(1364, 1373, 1374)(1365, 1375, 1376)(1366, 1377, 1378)(1367, 1379, 1380)(1368, 1381, 1382)(1369, 1383, 1384)(1370, 1385, 1386)(1387, 1402, 1403)(1388, 1404, 1405)(1389, 1406, 1407)(1390, 1408, 1409)(1391, 1410, 1411)(1392, 1412, 1413)(1393, 1414, 1415)(1394, 1416, 1395)(1396, 1417, 1418)(1397, 1419, 1420)(1398, 1421, 1422)(1399, 1423, 1424)(1400, 1425, 1426)(1401, 1427, 1428)(1429, 1451, 1452)(1430, 1453, 1454)(1431, 1455, 1456)(1432, 1457, 1458)(1433, 1459, 1460)(1434, 1461, 1462)(1435, 1463, 1464)(1436, 1465, 1466)(1437, 1467, 1468)(1438, 1469, 1470)(1439, 1471, 1472)(1440, 1473, 1474)(1441, 1475, 1476)(1442, 1477, 1478)(1443, 1479, 1480)(1444, 1481, 1482)(1445, 1483, 1484)(1446, 1485, 1486)(1447, 1487, 1488)(1448, 1489, 1490)(1449, 1491, 1492)(1450, 1493, 1494)(1495, 1531, 1532)(1496, 1533, 1534)(1497, 1535, 1536)(1498, 1537, 1538)(1499, 1539, 1540)(1500, 1541, 1542)(1501, 1543, 1544)(1502, 1545, 1546)(1503, 1547, 1548)(1504, 1549, 1550)(1505, 1551, 1552)(1506, 1553, 1554)(1507, 1555, 1556)(1508, 1557, 1558)(1509, 1559, 1560)(1510, 1561, 1562)(1511, 1563, 1564)(1512, 1565, 1566)(1513, 1567, 1568)(1514, 1569, 1570)(1515, 1693, 1573)(1516, 1694, 2143)(1517, 1696, 2150)(1518, 1698, 2155)(1519, 1700, 2160)(1520, 1575, 1793)(1521, 1703, 1618)(1522, 1639, 2003)(1523, 1705, 1668)(1524, 1604, 1897)(1525, 1707, 1579)(1526, 1708, 2179)(1527, 1710, 2186)(1528, 1712, 2191)(1529, 1714, 2196)(1530, 1571, 1717)(1572, 1750, 1749)(1574, 1789, 1791)(1576, 1796, 1798)(1577, 1800, 1802)(1578, 1804, 1806)(1580, 1810, 1812)(1581, 1814, 1728)(1582, 1817, 1761)(1583, 1820, 1822)(1584, 1824, 1826)(1585, 1828, 1830)(1586, 1738, 1833)(1587, 1835, 1837)(1588, 1839, 1841)(1589, 1771, 1844)(1590, 1846, 1848)(1591, 1850, 1852)(1592, 1854, 1856)(1593, 1858, 1860)(1594, 1862, 1863)(1595, 1865, 1867)(1596, 1868, 1870)(1597, 1872, 1874)(1598, 1855, 1877)(1599, 1879, 1881)(1600, 1883, 1885)(1601, 1887, 1889)(1602, 1832, 1892)(1603, 1894, 1896)(1605, 1900, 1902)(1606, 1903, 1904)(1607, 1906, 1908)(1608, 1909, 1910)(1609, 1912, 1914)(1610, 1915, 1916)(1611, 1869, 1918)(1612, 1919, 1920)(1613, 1922, 1924)(1614, 1926, 1927)(1615, 1929, 1931)(1616, 1932, 1933)(1617, 1935, 1937)(1619, 1940, 1941)(1620, 1943, 1945)(1621, 1946, 1947)(1622, 1847, 1949)(1623, 1950, 1951)(1624, 1953, 1955)(1625, 1957, 1958)(1626, 1960, 1962)(1627, 1964, 1966)(1628, 1843, 1969)(1629, 1971, 1973)(1630, 1974, 1736)(1631, 1977, 1979)(1632, 1808, 1982)(1633, 1984, 1986)(1634, 1987, 1769)(1635, 1866, 1991)(1636, 1993, 1995)(1637, 1996, 1998)(1638, 2000, 2002)(1640, 1758, 2007)(1641, 2009, 2011)(1642, 2013, 2014)(1643, 1730, 2017)(1644, 2018, 2019)(1645, 2021, 2022)(1646, 2023, 2024)(1647, 1811, 2026)(1648, 2027, 1702)(1649, 2029, 2031)(1650, 2032, 2033)(1651, 2035, 2037)(1652, 2039, 2040)(1653, 1763, 2001)(1654, 2042, 2043)(1655, 2045, 2047)(1656, 2048, 2049)(1657, 1836, 2051)(1658, 2052, 2053)(1659, 2054, 2056)(1660, 2058, 2059)(1661, 2061, 2063)(1662, 2055, 2064)(1663, 2066, 2067)(1664, 2068, 2069)(1665, 1801, 2071)(1666, 2072, 1684)(1667, 2073, 2075)(1669, 2078, 2079)(1670, 2081, 2083)(1671, 2085, 2028)(1672, 2087, 1978)(1673, 2088, 2089)(1674, 2091, 2093)(1675, 2094, 2095)(1676, 1859, 2097)(1677, 2098, 2099)(1678, 2100, 2101)(1679, 1913, 2104)(1680, 2106, 2108)(1681, 2109, 2111)(1682, 2113, 1939)(1683, 2114, 1732)(1685, 2046, 2120)(1686, 1930, 2123)(1687, 2125, 2127)(1688, 2128, 2130)(1689, 2132, 2016)(1690, 2133, 1765)(1691, 1725, 2136)(1692, 1944, 2139)(1695, 2147, 2149)(1697, 2152, 2154)(1699, 2159, 1746)(1701, 2163, 2165)(1704, 2092, 2171)(1706, 1961, 2176)(1709, 2183, 2185)(1711, 2188, 2190)(1713, 2195, 2062)(1715, 2198, 2200)(1716, 1787, 2141)(1718, 1954, 2203)(1719, 2204, 2206)(1720, 2208, 2209)(1721, 2210, 2211)(1722, 2213, 2214)(1723, 1790, 2216)(1724, 2217, 2219)(1726, 2220, 2222)(1727, 2224, 2084)(1729, 1734, 2189)(1731, 2228, 2229)(1733, 2233, 2235)(1735, 2168, 1936)(1737, 2240, 1888)(1739, 2241, 2242)(1740, 2243, 2245)(1741, 2248, 2174)(1742, 2250, 2251)(1743, 2253, 2254)(1744, 1907, 2156)(1745, 2256, 2175)(1747, 2258, 2259)(1748, 2260, 2261)(1751, 2030, 2264)(1752, 2265, 2267)(1753, 2269, 2270)(1754, 2271, 2272)(1755, 2273, 2274)(1756, 1797, 2276)(1757, 2277, 2278)(1759, 2279, 2281)(1760, 2283, 2236)(1762, 1767, 2288)(1764, 2289, 2290)(1766, 2294, 2148)(1768, 2295, 1952)(1770, 2298, 1965)(1772, 2299, 2300)(1773, 2301, 2303)(1774, 2306, 2308)(1775, 2309, 2310)(1776, 2311, 2312)(1777, 1923, 2314)(1778, 2315, 2317)(1779, 2218, 2319)(1780, 2212, 2320)(1781, 2321, 2322)(1782, 2323, 2324)(1783, 2325, 2262)(1784, 2326, 2327)(1785, 2263, 2140)(1786, 2328, 2329)(1788, 2330, 2331)(1792, 2332, 2333)(1794, 2335, 2336)(1795, 2337, 2338)(1799, 2339, 2340)(1803, 2341, 2342)(1805, 2343, 2177)(1807, 2344, 2345)(1809, 2346, 2347)(1813, 2349, 2350)(1815, 2226, 2352)(1816, 2353, 2354)(1818, 2285, 2355)(1819, 2356, 2357)(1821, 2359, 2360)(1823, 2361, 2363)(1825, 2293, 2364)(1827, 2365, 2366)(1829, 2367, 2368)(1831, 2370, 2371)(1834, 2372, 2373)(1838, 2376, 2377)(1840, 2378, 2379)(1842, 2381, 2167)(1845, 2382, 2383)(1849, 2386, 2387)(1851, 2388, 2389)(1853, 2391, 2392)(1857, 2393, 2257)(1861, 2396, 2397)(1864, 2305, 2117)(1871, 2401, 2402)(1873, 2404, 2157)(1875, 2405, 2407)(1876, 2080, 2408)(1878, 2409, 2410)(1880, 2412, 2413)(1882, 2414, 2416)(1884, 2232, 2417)(1886, 2282, 2418)(1890, 2419, 2406)(1891, 2034, 2420)(1893, 2422, 2423)(1895, 2425, 2426)(1898, 2428, 2429)(1899, 2430, 2432)(1901, 2433, 2434)(1905, 2436, 2318)(1911, 2090, 2065)(1917, 2441, 2443)(1921, 2192, 2445)(1925, 2400, 2448)(1928, 2247, 2006)(1934, 2447, 2207)(1938, 2451, 2122)(1942, 2044, 2020)(1948, 2455, 2456)(1956, 2385, 2459)(1959, 2461, 1981)(1963, 2462, 2463)(1967, 2464, 2415)(1968, 2060, 2466)(1970, 2468, 2469)(1972, 2471, 2472)(1975, 2238, 2474)(1976, 2223, 2475)(1980, 2476, 2362)(1983, 2479, 2458)(1985, 2481, 2482)(1988, 2296, 2193)(1989, 2484, 2431)(1990, 2015, 2486)(1992, 2488, 2490)(1994, 2493, 2494)(1997, 2497, 2498)(1999, 2500, 2501)(2004, 2502, 2503)(2005, 2504, 2255)(2008, 2506, 2446)(2010, 2239, 2508)(2012, 2395, 2268)(2025, 2489, 2507)(2036, 2316, 2237)(2038, 2144, 2514)(2041, 2515, 2103)(2050, 2201, 2518)(2057, 2375, 2520)(2070, 2215, 2275)(2074, 2525, 2172)(2076, 2526, 2427)(2077, 2173, 2496)(2082, 2205, 2499)(2086, 2529, 2138)(2096, 2135, 2532)(2102, 2534, 2442)(2105, 2536, 2537)(2107, 2540, 2187)(2110, 2542, 2543)(2112, 2545, 2546)(2115, 2231, 2547)(2116, 2548, 2313)(2118, 2549, 2394)(2119, 2297, 2550)(2121, 2551, 2161)(2124, 2552, 2553)(2126, 2556, 2557)(2129, 2558, 2145)(2131, 2559, 2560)(2134, 2292, 2561)(2137, 2562, 2437)(2142, 2450, 2565)(2146, 2244, 2566)(2151, 2492, 2570)(2153, 2572, 2573)(2158, 2576, 2577)(2162, 2522, 2225)(2164, 2580, 2581)(2166, 2287, 2202)(2169, 2583, 2374)(2170, 2584, 2585)(2178, 2403, 2587)(2180, 2589, 2575)(2181, 2348, 2588)(2182, 2591, 2592)(2184, 2594, 2595)(2194, 2596, 2597)(2197, 2600, 2599)(2199, 2555, 2602)(2221, 2369, 2605)(2227, 2610, 2473)(2230, 2249, 2563)(2234, 2266, 2544)(2246, 2620, 2460)(2252, 2284, 2607)(2280, 2380, 2623)(2286, 2601, 2483)(2291, 2307, 2509)(2302, 2614, 2505)(2304, 2533, 2513)(2334, 2590, 2635)(2351, 2638, 2636)(2358, 2641, 2629)(2384, 2612, 2630)(2390, 2633, 2564)(2398, 2628, 2586)(2399, 2652, 2604)(2411, 2657, 2617)(2421, 2578, 2660)(2424, 2663, 2661)(2435, 2598, 2664)(2438, 2568, 2634)(2439, 2530, 2521)(2440, 2659, 2622)(2444, 2621, 2667)(2449, 2616, 2603)(2452, 2539, 2606)(2453, 2516, 2510)(2454, 2655, 2670)(2457, 2611, 2671)(2465, 2672, 2648)(2467, 2609, 2651)(2470, 2662, 2673)(2477, 2675, 2665)(2478, 2626, 2666)(2480, 2674, 2669)(2485, 2676, 2645)(2487, 2677, 2647)(2491, 2656, 2678)(2495, 2668, 2653)(2511, 2658, 2680)(2512, 2627, 2681)(2517, 2642, 2682)(2519, 2528, 2679)(2523, 2631, 2683)(2524, 2608, 2684)(2527, 2574, 2571)(2531, 2639, 2632)(2535, 2582, 2579)(2538, 2640, 2685)(2541, 2650, 2649)(2554, 2654, 2686)(2567, 2637, 2619)(2569, 2615, 2646)(2593, 2625, 2688)(2613, 2644, 2643)(2618, 2687, 2624)
	L = (1, 1345)(2, 1346)(3, 1347)(4, 1348)(5, 1349)(6, 1350)(7, 1351)(8, 1352)(9, 1353)(10, 1354)(11, 1355)(12, 1356)(13, 1357)(14, 1358)(15, 1359)(16, 1360)(17, 1361)(18, 1362)(19, 1363)(20, 1364)(21, 1365)(22, 1366)(23, 1367)(24, 1368)(25, 1369)(26, 1370)(27, 1371)(28, 1372)(29, 1373)(30, 1374)(31, 1375)(32, 1376)(33, 1377)(34, 1378)(35, 1379)(36, 1380)(37, 1381)(38, 1382)(39, 1383)(40, 1384)(41, 1385)(42, 1386)(43, 1387)(44, 1388)(45, 1389)(46, 1390)(47, 1391)(48, 1392)(49, 1393)(50, 1394)(51, 1395)(52, 1396)(53, 1397)(54, 1398)(55, 1399)(56, 1400)(57, 1401)(58, 1402)(59, 1403)(60, 1404)(61, 1405)(62, 1406)(63, 1407)(64, 1408)(65, 1409)(66, 1410)(67, 1411)(68, 1412)(69, 1413)(70, 1414)(71, 1415)(72, 1416)(73, 1417)(74, 1418)(75, 1419)(76, 1420)(77, 1421)(78, 1422)(79, 1423)(80, 1424)(81, 1425)(82, 1426)(83, 1427)(84, 1428)(85, 1429)(86, 1430)(87, 1431)(88, 1432)(89, 1433)(90, 1434)(91, 1435)(92, 1436)(93, 1437)(94, 1438)(95, 1439)(96, 1440)(97, 1441)(98, 1442)(99, 1443)(100, 1444)(101, 1445)(102, 1446)(103, 1447)(104, 1448)(105, 1449)(106, 1450)(107, 1451)(108, 1452)(109, 1453)(110, 1454)(111, 1455)(112, 1456)(113, 1457)(114, 1458)(115, 1459)(116, 1460)(117, 1461)(118, 1462)(119, 1463)(120, 1464)(121, 1465)(122, 1466)(123, 1467)(124, 1468)(125, 1469)(126, 1470)(127, 1471)(128, 1472)(129, 1473)(130, 1474)(131, 1475)(132, 1476)(133, 1477)(134, 1478)(135, 1479)(136, 1480)(137, 1481)(138, 1482)(139, 1483)(140, 1484)(141, 1485)(142, 1486)(143, 1487)(144, 1488)(145, 1489)(146, 1490)(147, 1491)(148, 1492)(149, 1493)(150, 1494)(151, 1495)(152, 1496)(153, 1497)(154, 1498)(155, 1499)(156, 1500)(157, 1501)(158, 1502)(159, 1503)(160, 1504)(161, 1505)(162, 1506)(163, 1507)(164, 1508)(165, 1509)(166, 1510)(167, 1511)(168, 1512)(169, 1513)(170, 1514)(171, 1515)(172, 1516)(173, 1517)(174, 1518)(175, 1519)(176, 1520)(177, 1521)(178, 1522)(179, 1523)(180, 1524)(181, 1525)(182, 1526)(183, 1527)(184, 1528)(185, 1529)(186, 1530)(187, 1531)(188, 1532)(189, 1533)(190, 1534)(191, 1535)(192, 1536)(193, 1537)(194, 1538)(195, 1539)(196, 1540)(197, 1541)(198, 1542)(199, 1543)(200, 1544)(201, 1545)(202, 1546)(203, 1547)(204, 1548)(205, 1549)(206, 1550)(207, 1551)(208, 1552)(209, 1553)(210, 1554)(211, 1555)(212, 1556)(213, 1557)(214, 1558)(215, 1559)(216, 1560)(217, 1561)(218, 1562)(219, 1563)(220, 1564)(221, 1565)(222, 1566)(223, 1567)(224, 1568)(225, 1569)(226, 1570)(227, 1571)(228, 1572)(229, 1573)(230, 1574)(231, 1575)(232, 1576)(233, 1577)(234, 1578)(235, 1579)(236, 1580)(237, 1581)(238, 1582)(239, 1583)(240, 1584)(241, 1585)(242, 1586)(243, 1587)(244, 1588)(245, 1589)(246, 1590)(247, 1591)(248, 1592)(249, 1593)(250, 1594)(251, 1595)(252, 1596)(253, 1597)(254, 1598)(255, 1599)(256, 1600)(257, 1601)(258, 1602)(259, 1603)(260, 1604)(261, 1605)(262, 1606)(263, 1607)(264, 1608)(265, 1609)(266, 1610)(267, 1611)(268, 1612)(269, 1613)(270, 1614)(271, 1615)(272, 1616)(273, 1617)(274, 1618)(275, 1619)(276, 1620)(277, 1621)(278, 1622)(279, 1623)(280, 1624)(281, 1625)(282, 1626)(283, 1627)(284, 1628)(285, 1629)(286, 1630)(287, 1631)(288, 1632)(289, 1633)(290, 1634)(291, 1635)(292, 1636)(293, 1637)(294, 1638)(295, 1639)(296, 1640)(297, 1641)(298, 1642)(299, 1643)(300, 1644)(301, 1645)(302, 1646)(303, 1647)(304, 1648)(305, 1649)(306, 1650)(307, 1651)(308, 1652)(309, 1653)(310, 1654)(311, 1655)(312, 1656)(313, 1657)(314, 1658)(315, 1659)(316, 1660)(317, 1661)(318, 1662)(319, 1663)(320, 1664)(321, 1665)(322, 1666)(323, 1667)(324, 1668)(325, 1669)(326, 1670)(327, 1671)(328, 1672)(329, 1673)(330, 1674)(331, 1675)(332, 1676)(333, 1677)(334, 1678)(335, 1679)(336, 1680)(337, 1681)(338, 1682)(339, 1683)(340, 1684)(341, 1685)(342, 1686)(343, 1687)(344, 1688)(345, 1689)(346, 1690)(347, 1691)(348, 1692)(349, 1693)(350, 1694)(351, 1695)(352, 1696)(353, 1697)(354, 1698)(355, 1699)(356, 1700)(357, 1701)(358, 1702)(359, 1703)(360, 1704)(361, 1705)(362, 1706)(363, 1707)(364, 1708)(365, 1709)(366, 1710)(367, 1711)(368, 1712)(369, 1713)(370, 1714)(371, 1715)(372, 1716)(373, 1717)(374, 1718)(375, 1719)(376, 1720)(377, 1721)(378, 1722)(379, 1723)(380, 1724)(381, 1725)(382, 1726)(383, 1727)(384, 1728)(385, 1729)(386, 1730)(387, 1731)(388, 1732)(389, 1733)(390, 1734)(391, 1735)(392, 1736)(393, 1737)(394, 1738)(395, 1739)(396, 1740)(397, 1741)(398, 1742)(399, 1743)(400, 1744)(401, 1745)(402, 1746)(403, 1747)(404, 1748)(405, 1749)(406, 1750)(407, 1751)(408, 1752)(409, 1753)(410, 1754)(411, 1755)(412, 1756)(413, 1757)(414, 1758)(415, 1759)(416, 1760)(417, 1761)(418, 1762)(419, 1763)(420, 1764)(421, 1765)(422, 1766)(423, 1767)(424, 1768)(425, 1769)(426, 1770)(427, 1771)(428, 1772)(429, 1773)(430, 1774)(431, 1775)(432, 1776)(433, 1777)(434, 1778)(435, 1779)(436, 1780)(437, 1781)(438, 1782)(439, 1783)(440, 1784)(441, 1785)(442, 1786)(443, 1787)(444, 1788)(445, 1789)(446, 1790)(447, 1791)(448, 1792)(449, 1793)(450, 1794)(451, 1795)(452, 1796)(453, 1797)(454, 1798)(455, 1799)(456, 1800)(457, 1801)(458, 1802)(459, 1803)(460, 1804)(461, 1805)(462, 1806)(463, 1807)(464, 1808)(465, 1809)(466, 1810)(467, 1811)(468, 1812)(469, 1813)(470, 1814)(471, 1815)(472, 1816)(473, 1817)(474, 1818)(475, 1819)(476, 1820)(477, 1821)(478, 1822)(479, 1823)(480, 1824)(481, 1825)(482, 1826)(483, 1827)(484, 1828)(485, 1829)(486, 1830)(487, 1831)(488, 1832)(489, 1833)(490, 1834)(491, 1835)(492, 1836)(493, 1837)(494, 1838)(495, 1839)(496, 1840)(497, 1841)(498, 1842)(499, 1843)(500, 1844)(501, 1845)(502, 1846)(503, 1847)(504, 1848)(505, 1849)(506, 1850)(507, 1851)(508, 1852)(509, 1853)(510, 1854)(511, 1855)(512, 1856)(513, 1857)(514, 1858)(515, 1859)(516, 1860)(517, 1861)(518, 1862)(519, 1863)(520, 1864)(521, 1865)(522, 1866)(523, 1867)(524, 1868)(525, 1869)(526, 1870)(527, 1871)(528, 1872)(529, 1873)(530, 1874)(531, 1875)(532, 1876)(533, 1877)(534, 1878)(535, 1879)(536, 1880)(537, 1881)(538, 1882)(539, 1883)(540, 1884)(541, 1885)(542, 1886)(543, 1887)(544, 1888)(545, 1889)(546, 1890)(547, 1891)(548, 1892)(549, 1893)(550, 1894)(551, 1895)(552, 1896)(553, 1897)(554, 1898)(555, 1899)(556, 1900)(557, 1901)(558, 1902)(559, 1903)(560, 1904)(561, 1905)(562, 1906)(563, 1907)(564, 1908)(565, 1909)(566, 1910)(567, 1911)(568, 1912)(569, 1913)(570, 1914)(571, 1915)(572, 1916)(573, 1917)(574, 1918)(575, 1919)(576, 1920)(577, 1921)(578, 1922)(579, 1923)(580, 1924)(581, 1925)(582, 1926)(583, 1927)(584, 1928)(585, 1929)(586, 1930)(587, 1931)(588, 1932)(589, 1933)(590, 1934)(591, 1935)(592, 1936)(593, 1937)(594, 1938)(595, 1939)(596, 1940)(597, 1941)(598, 1942)(599, 1943)(600, 1944)(601, 1945)(602, 1946)(603, 1947)(604, 1948)(605, 1949)(606, 1950)(607, 1951)(608, 1952)(609, 1953)(610, 1954)(611, 1955)(612, 1956)(613, 1957)(614, 1958)(615, 1959)(616, 1960)(617, 1961)(618, 1962)(619, 1963)(620, 1964)(621, 1965)(622, 1966)(623, 1967)(624, 1968)(625, 1969)(626, 1970)(627, 1971)(628, 1972)(629, 1973)(630, 1974)(631, 1975)(632, 1976)(633, 1977)(634, 1978)(635, 1979)(636, 1980)(637, 1981)(638, 1982)(639, 1983)(640, 1984)(641, 1985)(642, 1986)(643, 1987)(644, 1988)(645, 1989)(646, 1990)(647, 1991)(648, 1992)(649, 1993)(650, 1994)(651, 1995)(652, 1996)(653, 1997)(654, 1998)(655, 1999)(656, 2000)(657, 2001)(658, 2002)(659, 2003)(660, 2004)(661, 2005)(662, 2006)(663, 2007)(664, 2008)(665, 2009)(666, 2010)(667, 2011)(668, 2012)(669, 2013)(670, 2014)(671, 2015)(672, 2016)(673, 2017)(674, 2018)(675, 2019)(676, 2020)(677, 2021)(678, 2022)(679, 2023)(680, 2024)(681, 2025)(682, 2026)(683, 2027)(684, 2028)(685, 2029)(686, 2030)(687, 2031)(688, 2032)(689, 2033)(690, 2034)(691, 2035)(692, 2036)(693, 2037)(694, 2038)(695, 2039)(696, 2040)(697, 2041)(698, 2042)(699, 2043)(700, 2044)(701, 2045)(702, 2046)(703, 2047)(704, 2048)(705, 2049)(706, 2050)(707, 2051)(708, 2052)(709, 2053)(710, 2054)(711, 2055)(712, 2056)(713, 2057)(714, 2058)(715, 2059)(716, 2060)(717, 2061)(718, 2062)(719, 2063)(720, 2064)(721, 2065)(722, 2066)(723, 2067)(724, 2068)(725, 2069)(726, 2070)(727, 2071)(728, 2072)(729, 2073)(730, 2074)(731, 2075)(732, 2076)(733, 2077)(734, 2078)(735, 2079)(736, 2080)(737, 2081)(738, 2082)(739, 2083)(740, 2084)(741, 2085)(742, 2086)(743, 2087)(744, 2088)(745, 2089)(746, 2090)(747, 2091)(748, 2092)(749, 2093)(750, 2094)(751, 2095)(752, 2096)(753, 2097)(754, 2098)(755, 2099)(756, 2100)(757, 2101)(758, 2102)(759, 2103)(760, 2104)(761, 2105)(762, 2106)(763, 2107)(764, 2108)(765, 2109)(766, 2110)(767, 2111)(768, 2112)(769, 2113)(770, 2114)(771, 2115)(772, 2116)(773, 2117)(774, 2118)(775, 2119)(776, 2120)(777, 2121)(778, 2122)(779, 2123)(780, 2124)(781, 2125)(782, 2126)(783, 2127)(784, 2128)(785, 2129)(786, 2130)(787, 2131)(788, 2132)(789, 2133)(790, 2134)(791, 2135)(792, 2136)(793, 2137)(794, 2138)(795, 2139)(796, 2140)(797, 2141)(798, 2142)(799, 2143)(800, 2144)(801, 2145)(802, 2146)(803, 2147)(804, 2148)(805, 2149)(806, 2150)(807, 2151)(808, 2152)(809, 2153)(810, 2154)(811, 2155)(812, 2156)(813, 2157)(814, 2158)(815, 2159)(816, 2160)(817, 2161)(818, 2162)(819, 2163)(820, 2164)(821, 2165)(822, 2166)(823, 2167)(824, 2168)(825, 2169)(826, 2170)(827, 2171)(828, 2172)(829, 2173)(830, 2174)(831, 2175)(832, 2176)(833, 2177)(834, 2178)(835, 2179)(836, 2180)(837, 2181)(838, 2182)(839, 2183)(840, 2184)(841, 2185)(842, 2186)(843, 2187)(844, 2188)(845, 2189)(846, 2190)(847, 2191)(848, 2192)(849, 2193)(850, 2194)(851, 2195)(852, 2196)(853, 2197)(854, 2198)(855, 2199)(856, 2200)(857, 2201)(858, 2202)(859, 2203)(860, 2204)(861, 2205)(862, 2206)(863, 2207)(864, 2208)(865, 2209)(866, 2210)(867, 2211)(868, 2212)(869, 2213)(870, 2214)(871, 2215)(872, 2216)(873, 2217)(874, 2218)(875, 2219)(876, 2220)(877, 2221)(878, 2222)(879, 2223)(880, 2224)(881, 2225)(882, 2226)(883, 2227)(884, 2228)(885, 2229)(886, 2230)(887, 2231)(888, 2232)(889, 2233)(890, 2234)(891, 2235)(892, 2236)(893, 2237)(894, 2238)(895, 2239)(896, 2240)(897, 2241)(898, 2242)(899, 2243)(900, 2244)(901, 2245)(902, 2246)(903, 2247)(904, 2248)(905, 2249)(906, 2250)(907, 2251)(908, 2252)(909, 2253)(910, 2254)(911, 2255)(912, 2256)(913, 2257)(914, 2258)(915, 2259)(916, 2260)(917, 2261)(918, 2262)(919, 2263)(920, 2264)(921, 2265)(922, 2266)(923, 2267)(924, 2268)(925, 2269)(926, 2270)(927, 2271)(928, 2272)(929, 2273)(930, 2274)(931, 2275)(932, 2276)(933, 2277)(934, 2278)(935, 2279)(936, 2280)(937, 2281)(938, 2282)(939, 2283)(940, 2284)(941, 2285)(942, 2286)(943, 2287)(944, 2288)(945, 2289)(946, 2290)(947, 2291)(948, 2292)(949, 2293)(950, 2294)(951, 2295)(952, 2296)(953, 2297)(954, 2298)(955, 2299)(956, 2300)(957, 2301)(958, 2302)(959, 2303)(960, 2304)(961, 2305)(962, 2306)(963, 2307)(964, 2308)(965, 2309)(966, 2310)(967, 2311)(968, 2312)(969, 2313)(970, 2314)(971, 2315)(972, 2316)(973, 2317)(974, 2318)(975, 2319)(976, 2320)(977, 2321)(978, 2322)(979, 2323)(980, 2324)(981, 2325)(982, 2326)(983, 2327)(984, 2328)(985, 2329)(986, 2330)(987, 2331)(988, 2332)(989, 2333)(990, 2334)(991, 2335)(992, 2336)(993, 2337)(994, 2338)(995, 2339)(996, 2340)(997, 2341)(998, 2342)(999, 2343)(1000, 2344)(1001, 2345)(1002, 2346)(1003, 2347)(1004, 2348)(1005, 2349)(1006, 2350)(1007, 2351)(1008, 2352)(1009, 2353)(1010, 2354)(1011, 2355)(1012, 2356)(1013, 2357)(1014, 2358)(1015, 2359)(1016, 2360)(1017, 2361)(1018, 2362)(1019, 2363)(1020, 2364)(1021, 2365)(1022, 2366)(1023, 2367)(1024, 2368)(1025, 2369)(1026, 2370)(1027, 2371)(1028, 2372)(1029, 2373)(1030, 2374)(1031, 2375)(1032, 2376)(1033, 2377)(1034, 2378)(1035, 2379)(1036, 2380)(1037, 2381)(1038, 2382)(1039, 2383)(1040, 2384)(1041, 2385)(1042, 2386)(1043, 2387)(1044, 2388)(1045, 2389)(1046, 2390)(1047, 2391)(1048, 2392)(1049, 2393)(1050, 2394)(1051, 2395)(1052, 2396)(1053, 2397)(1054, 2398)(1055, 2399)(1056, 2400)(1057, 2401)(1058, 2402)(1059, 2403)(1060, 2404)(1061, 2405)(1062, 2406)(1063, 2407)(1064, 2408)(1065, 2409)(1066, 2410)(1067, 2411)(1068, 2412)(1069, 2413)(1070, 2414)(1071, 2415)(1072, 2416)(1073, 2417)(1074, 2418)(1075, 2419)(1076, 2420)(1077, 2421)(1078, 2422)(1079, 2423)(1080, 2424)(1081, 2425)(1082, 2426)(1083, 2427)(1084, 2428)(1085, 2429)(1086, 2430)(1087, 2431)(1088, 2432)(1089, 2433)(1090, 2434)(1091, 2435)(1092, 2436)(1093, 2437)(1094, 2438)(1095, 2439)(1096, 2440)(1097, 2441)(1098, 2442)(1099, 2443)(1100, 2444)(1101, 2445)(1102, 2446)(1103, 2447)(1104, 2448)(1105, 2449)(1106, 2450)(1107, 2451)(1108, 2452)(1109, 2453)(1110, 2454)(1111, 2455)(1112, 2456)(1113, 2457)(1114, 2458)(1115, 2459)(1116, 2460)(1117, 2461)(1118, 2462)(1119, 2463)(1120, 2464)(1121, 2465)(1122, 2466)(1123, 2467)(1124, 2468)(1125, 2469)(1126, 2470)(1127, 2471)(1128, 2472)(1129, 2473)(1130, 2474)(1131, 2475)(1132, 2476)(1133, 2477)(1134, 2478)(1135, 2479)(1136, 2480)(1137, 2481)(1138, 2482)(1139, 2483)(1140, 2484)(1141, 2485)(1142, 2486)(1143, 2487)(1144, 2488)(1145, 2489)(1146, 2490)(1147, 2491)(1148, 2492)(1149, 2493)(1150, 2494)(1151, 2495)(1152, 2496)(1153, 2497)(1154, 2498)(1155, 2499)(1156, 2500)(1157, 2501)(1158, 2502)(1159, 2503)(1160, 2504)(1161, 2505)(1162, 2506)(1163, 2507)(1164, 2508)(1165, 2509)(1166, 2510)(1167, 2511)(1168, 2512)(1169, 2513)(1170, 2514)(1171, 2515)(1172, 2516)(1173, 2517)(1174, 2518)(1175, 2519)(1176, 2520)(1177, 2521)(1178, 2522)(1179, 2523)(1180, 2524)(1181, 2525)(1182, 2526)(1183, 2527)(1184, 2528)(1185, 2529)(1186, 2530)(1187, 2531)(1188, 2532)(1189, 2533)(1190, 2534)(1191, 2535)(1192, 2536)(1193, 2537)(1194, 2538)(1195, 2539)(1196, 2540)(1197, 2541)(1198, 2542)(1199, 2543)(1200, 2544)(1201, 2545)(1202, 2546)(1203, 2547)(1204, 2548)(1205, 2549)(1206, 2550)(1207, 2551)(1208, 2552)(1209, 2553)(1210, 2554)(1211, 2555)(1212, 2556)(1213, 2557)(1214, 2558)(1215, 2559)(1216, 2560)(1217, 2561)(1218, 2562)(1219, 2563)(1220, 2564)(1221, 2565)(1222, 2566)(1223, 2567)(1224, 2568)(1225, 2569)(1226, 2570)(1227, 2571)(1228, 2572)(1229, 2573)(1230, 2574)(1231, 2575)(1232, 2576)(1233, 2577)(1234, 2578)(1235, 2579)(1236, 2580)(1237, 2581)(1238, 2582)(1239, 2583)(1240, 2584)(1241, 2585)(1242, 2586)(1243, 2587)(1244, 2588)(1245, 2589)(1246, 2590)(1247, 2591)(1248, 2592)(1249, 2593)(1250, 2594)(1251, 2595)(1252, 2596)(1253, 2597)(1254, 2598)(1255, 2599)(1256, 2600)(1257, 2601)(1258, 2602)(1259, 2603)(1260, 2604)(1261, 2605)(1262, 2606)(1263, 2607)(1264, 2608)(1265, 2609)(1266, 2610)(1267, 2611)(1268, 2612)(1269, 2613)(1270, 2614)(1271, 2615)(1272, 2616)(1273, 2617)(1274, 2618)(1275, 2619)(1276, 2620)(1277, 2621)(1278, 2622)(1279, 2623)(1280, 2624)(1281, 2625)(1282, 2626)(1283, 2627)(1284, 2628)(1285, 2629)(1286, 2630)(1287, 2631)(1288, 2632)(1289, 2633)(1290, 2634)(1291, 2635)(1292, 2636)(1293, 2637)(1294, 2638)(1295, 2639)(1296, 2640)(1297, 2641)(1298, 2642)(1299, 2643)(1300, 2644)(1301, 2645)(1302, 2646)(1303, 2647)(1304, 2648)(1305, 2649)(1306, 2650)(1307, 2651)(1308, 2652)(1309, 2653)(1310, 2654)(1311, 2655)(1312, 2656)(1313, 2657)(1314, 2658)(1315, 2659)(1316, 2660)(1317, 2661)(1318, 2662)(1319, 2663)(1320, 2664)(1321, 2665)(1322, 2666)(1323, 2667)(1324, 2668)(1325, 2669)(1326, 2670)(1327, 2671)(1328, 2672)(1329, 2673)(1330, 2674)(1331, 2675)(1332, 2676)(1333, 2677)(1334, 2678)(1335, 2679)(1336, 2680)(1337, 2681)(1338, 2682)(1339, 2683)(1340, 2684)(1341, 2685)(1342, 2686)(1343, 2687)(1344, 2688)
	local type(s) :: { ( 14, 14 ), ( 14^3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 1120 e = 1344 f = 192
	degree seq :: [ 2^672, 3^448 ]

E17.2387 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 7})
Quotient :: edge
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X1^3, (X1^-1 * X2^-1)^2, X2^7, X2^2 * X1^-1 * X2^-2 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-1 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1^-1, (X2^-2 * X1)^8, X1 * X2^-2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^3 * X1^-1 * X2^2 * X1^-1 * X2^-3, X2^-1 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^3 * X1 * X2^-1 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2^-2 ]
Map:: polyhedral non-degenerate
	R = (1, 2, 4)(3, 8, 10)(5, 12, 6)(7, 15, 11)(9, 18, 20)(13, 25, 23)(14, 24, 28)(16, 31, 29)(17, 33, 21)(19, 36, 37)(22, 30, 41)(26, 46, 44)(27, 47, 48)(32, 54, 52)(34, 57, 55)(35, 58, 38)(39, 56, 64)(40, 65, 66)(42, 45, 69)(43, 70, 49)(50, 53, 79)(51, 80, 67)(59, 90, 88)(60, 91, 61)(62, 89, 95)(63, 96, 97)(68, 102, 103)(71, 107, 105)(72, 74, 109)(73, 110, 104)(75, 113, 76)(77, 106, 117)(78, 118, 119)(81, 123, 121)(82, 84, 125)(83, 126, 120)(85, 87, 130)(86, 131, 98)(92, 139, 137)(93, 138, 141)(94, 142, 143)(99, 148, 100)(101, 122, 152)(108, 159, 160)(111, 164, 162)(112, 165, 161)(114, 168, 166)(115, 167, 170)(116, 171, 172)(124, 180, 181)(127, 185, 183)(128, 186, 182)(129, 187, 188)(132, 192, 190)(133, 193, 189)(134, 136, 196)(135, 197, 144)(140, 203, 204)(145, 209, 146)(147, 191, 213)(149, 216, 214)(150, 215, 217)(151, 218, 219)(153, 221, 154)(155, 163, 225)(156, 158, 227)(157, 228, 173)(169, 241, 242)(174, 247, 175)(176, 184, 251)(177, 179, 253)(178, 254, 220)(194, 272, 270)(195, 273, 274)(198, 278, 276)(199, 279, 275)(200, 202, 282)(201, 283, 205)(206, 289, 207)(208, 277, 293)(210, 296, 294)(211, 295, 297)(212, 298, 299)(222, 310, 308)(223, 309, 312)(224, 313, 314)(226, 316, 317)(229, 321, 319)(230, 322, 318)(231, 323, 232)(233, 237, 327)(234, 236, 329)(235, 330, 315)(238, 240, 335)(239, 336, 243)(244, 342, 245)(246, 320, 346)(248, 349, 347)(249, 348, 351)(250, 352, 353)(252, 355, 356)(255, 360, 358)(256, 361, 357)(257, 362, 258)(259, 263, 366)(260, 262, 368)(261, 369, 354)(264, 373, 265)(266, 271, 377)(267, 269, 379)(268, 380, 300)(280, 394, 392)(281, 395, 396)(284, 400, 398)(285, 401, 397)(286, 403, 287)(288, 399, 407)(290, 410, 408)(291, 409, 411)(292, 412, 413)(301, 303, 423)(302, 424, 304)(305, 428, 306)(307, 359, 432)(311, 436, 437)(324, 451, 449)(325, 450, 453)(326, 454, 455)(328, 457, 458)(331, 462, 460)(332, 463, 459)(333, 464, 456)(334, 466, 467)(337, 471, 469)(338, 472, 468)(339, 474, 340)(341, 470, 478)(343, 481, 479)(344, 480, 482)(345, 483, 484)(350, 489, 490)(363, 504, 502)(364, 503, 506)(365, 507, 508)(367, 510, 511)(370, 515, 513)(371, 516, 512)(372, 517, 509)(374, 521, 519)(375, 520, 523)(376, 524, 525)(378, 527, 528)(381, 532, 530)(382, 533, 529)(383, 385, 535)(384, 536, 526)(386, 539, 387)(388, 393, 543)(389, 391, 545)(390, 546, 414)(402, 560, 558)(404, 563, 561)(405, 562, 564)(406, 565, 566)(415, 417, 576)(416, 577, 418)(419, 581, 420)(421, 531, 585)(422, 586, 587)(425, 591, 589)(426, 592, 588)(427, 590, 595)(429, 598, 596)(430, 597, 599)(431, 600, 601)(433, 435, 604)(434, 605, 438)(439, 611, 440)(441, 461, 615)(442, 616, 443)(444, 448, 620)(445, 447, 622)(446, 623, 485)(452, 630, 631)(465, 645, 643)(473, 901, 872)(475, 744, 687)(476, 905, 779)(477, 906, 1220)(486, 488, 917)(487, 916, 491)(492, 921, 493)(494, 514, 878)(495, 925, 496)(497, 501, 931)(498, 500, 823)(499, 810, 602)(505, 934, 945)(518, 949, 947)(522, 953, 963)(534, 965, 792)(537, 969, 967)(538, 757, 695)(540, 785, 864)(541, 973, 665)(542, 834, 1262)(544, 977, 1016)(547, 980, 979)(548, 961, 763)(549, 551, 891)(550, 982, 976)(552, 985, 553)(554, 559, 991)(555, 557, 956)(556, 796, 567)(568, 570, 1000)(569, 999, 571)(572, 1003, 573)(574, 1006, 866)(575, 1008, 1341)(578, 1002, 1009)(579, 1010, 968)(580, 1011, 732)(582, 681, 715)(583, 1014, 711)(584, 1017, 1134)(593, 1023, 881)(594, 1025, 1233)(603, 1034, 1343)(606, 1036, 1035)(607, 1037, 896)(608, 940, 609)(610, 1040, 750)(612, 693, 723)(613, 1043, 690)(614, 978, 1151)(617, 798, 903)(618, 1049, 675)(619, 875, 1270)(621, 1053, 1045)(624, 1056, 1055)(625, 892, 747)(626, 1057, 1052)(627, 629, 1059)(628, 854, 632)(633, 1063, 634)(635, 644, 1046)(636, 1066, 637)(638, 642, 1071)(639, 641, 776)(640, 849, 1047)(646, 751, 758)(647, 738, 802)(648, 733, 745)(649, 708, 769)(650, 773, 859)(651, 743, 713)(652, 719, 787)(653, 756, 721)(654, 890, 893)(655, 780, 880)(656, 761, 705)(657, 937, 943)(658, 813, 990)(659, 712, 684)(660, 701, 777)(661, 793, 919)(662, 691, 734)(663, 824, 748)(664, 867, 1072)(666, 720, 685)(667, 694, 752)(668, 840, 774)(669, 909, 1118)(670, 804, 730)(671, 1027, 1121)(672, 680, 692)(673, 726, 817)(674, 852, 1124)(676, 709, 679)(677, 829, 1061)(678, 1126, 932)(682, 845, 1136)(683, 1098, 951)(686, 959, 814)(688, 1142, 1145)(689, 765, 871)(696, 1155, 1158)(697, 808, 998)(698, 1117, 1160)(699, 781, 915)(700, 922, 1162)(702, 1165, 1168)(703, 1120, 1169)(704, 1108, 1170)(706, 1088, 868)(707, 1173, 1174)(710, 794, 1033)(714, 1094, 911)(716, 1001, 1184)(717, 1157, 1185)(718, 1186, 1188)(722, 1085, 1029)(724, 1194, 1195)(725, 1167, 1196)(727, 1199, 1200)(728, 1144, 1201)(729, 1089, 1203)(731, 1205, 994)(735, 853, 1161)(736, 1004, 1209)(737, 1183, 1211)(739, 1076, 910)(740, 830, 1178)(741, 1216, 1217)(742, 1095, 1018)(746, 1113, 997)(749, 1079, 1141)(753, 1080, 1028)(754, 846, 1146)(755, 1229, 1230)(759, 1129, 1198)(760, 1235, 942)(762, 1101, 1182)(764, 920, 1239)(766, 1241, 1242)(767, 908, 1243)(768, 930, 1228)(770, 1103, 993)(771, 1246, 1247)(772, 1156, 1249)(775, 1075, 1154)(778, 1166, 1256)(782, 1258, 1259)(783, 1026, 1261)(784, 1074, 1193)(786, 1164, 914)(788, 1015, 1140)(789, 1054, 1123)(790, 1263, 1264)(791, 1143, 1265)(795, 1267, 1268)(797, 1070, 1197)(799, 1078, 1181)(800, 966, 1159)(801, 1271, 1272)(803, 1149, 1032)(805, 1122, 1153)(806, 1274, 1238)(807, 1276, 1277)(809, 1255, 1279)(811, 1280, 1281)(812, 1116, 1282)(815, 1077, 1115)(816, 1240, 958)(818, 887, 1215)(819, 1044, 1147)(820, 1285, 1286)(821, 1081, 1119)(822, 1062, 1244)(825, 1133, 1163)(826, 1090, 1221)(827, 1187, 1292)(828, 1039, 1293)(831, 1295, 1296)(832, 936, 1298)(833, 1019, 907)(835, 1135, 941)(836, 1284, 1300)(837, 1067, 1107)(838, 1301, 988)(839, 996, 939)(841, 1150, 1148)(842, 1096, 1236)(843, 1210, 1304)(844, 1283, 1305)(847, 1308, 1309)(848, 955, 1311)(850, 1068, 1312)(851, 981, 1313)(855, 1152, 960)(856, 1084, 933)(857, 1316, 1130)(858, 902, 1317)(860, 1176, 1278)(861, 1132, 1112)(862, 1318, 1275)(863, 1319, 928)(865, 1125, 1310)(869, 1083, 1139)(870, 1031, 913)(873, 1225, 1114)(874, 1320, 1321)(876, 1248, 1323)(877, 1287, 1324)(879, 1190, 1299)(882, 1253, 1102)(883, 1325, 1326)(884, 1087, 952)(885, 1327, 972)(886, 1024, 1328)(888, 926, 1093)(889, 983, 1202)(894, 1179, 1189)(895, 1109, 1206)(897, 1331, 1332)(898, 938, 1307)(899, 1138, 1128)(900, 1131, 1291)(904, 1097, 1315)(912, 1092, 984)(918, 1213, 1322)(923, 1207, 1106)(924, 1334, 1335)(927, 1336, 1048)(929, 1288, 1333)(935, 1058, 1218)(944, 1005, 1212)(946, 1013, 1223)(948, 1337, 1245)(950, 1338, 989)(954, 1339, 1065)(957, 1060, 1020)(962, 1177, 1175)(964, 1042, 1252)(970, 1340, 1329)(971, 1110, 1297)(974, 1111, 1180)(975, 1222, 1290)(986, 1100, 1021)(987, 1289, 1091)(992, 1208, 1294)(995, 1099, 1172)(1007, 1330, 1342)(1012, 1051, 1251)(1022, 1137, 1303)(1030, 1105, 1038)(1041, 1224, 1204)(1050, 1127, 1192)(1064, 1231, 1086)(1069, 1254, 1314)(1073, 1219, 1257)(1082, 1269, 1273)(1104, 1260, 1302)(1171, 1237, 1250)(1191, 1232, 1266)(1214, 1344, 1227)(1226, 1306, 1234)(1345, 1347, 1353, 1363, 1370, 1357, 1349)(1346, 1350, 1358, 1371, 1376, 1360, 1351)(1348, 1355, 1366, 1384, 1378, 1361, 1352)(1354, 1365, 1383, 1407, 1403, 1379, 1362)(1356, 1367, 1386, 1412, 1415, 1387, 1368)(1359, 1373, 1394, 1422, 1425, 1395, 1374)(1364, 1382, 1406, 1438, 1436, 1404, 1380)(1369, 1388, 1416, 1452, 1455, 1417, 1389)(1372, 1393, 1421, 1460, 1458, 1419, 1391)(1375, 1396, 1426, 1468, 1471, 1427, 1397)(1377, 1399, 1429, 1473, 1476, 1430, 1400)(1381, 1405, 1437, 1484, 1456, 1418, 1390)(1385, 1411, 1445, 1495, 1493, 1443, 1409)(1392, 1420, 1459, 1513, 1472, 1428, 1398)(1401, 1410, 1444, 1494, 1538, 1477, 1431)(1402, 1432, 1478, 1539, 1542, 1479, 1433)(1408, 1442, 1491, 1556, 1554, 1489, 1440)(1413, 1448, 1499, 1568, 1566, 1497, 1446)(1414, 1449, 1500, 1570, 1573, 1501, 1450)(1423, 1464, 1520, 1594, 1592, 1518, 1462)(1424, 1465, 1521, 1596, 1599, 1522, 1466)(1434, 1441, 1490, 1555, 1624, 1543, 1480)(1435, 1481, 1544, 1625, 1628, 1545, 1482)(1439, 1488, 1552, 1636, 1634, 1550, 1486)(1447, 1498, 1567, 1655, 1574, 1502, 1451)(1453, 1505, 1577, 1670, 1668, 1575, 1503)(1454, 1506, 1578, 1672, 1675, 1579, 1507)(1457, 1510, 1582, 1678, 1681, 1583, 1511)(1461, 1517, 1590, 1689, 1687, 1588, 1515)(1463, 1519, 1593, 1694, 1600, 1523, 1467)(1469, 1526, 1603, 1709, 1707, 1601, 1524)(1470, 1527, 1604, 1711, 1714, 1605, 1528)(1474, 1533, 1610, 1720, 1718, 1608, 1531)(1475, 1534, 1611, 1722, 1725, 1612, 1535)(1483, 1487, 1551, 1635, 1746, 1629, 1546)(1485, 1549, 1632, 1750, 1748, 1630, 1547)(1492, 1558, 1645, 1766, 1769, 1646, 1559)(1496, 1564, 1651, 1775, 1773, 1649, 1562)(1504, 1576, 1669, 1796, 1676, 1580, 1508)(1509, 1548, 1631, 1749, 1809, 1677, 1581)(1512, 1516, 1589, 1688, 1817, 1682, 1584)(1514, 1587, 1685, 1821, 1819, 1683, 1585)(1525, 1602, 1708, 1849, 1715, 1606, 1529)(1530, 1586, 1684, 1820, 1862, 1716, 1607)(1532, 1609, 1719, 1866, 1726, 1613, 1536)(1537, 1614, 1727, 1878, 1881, 1728, 1615)(1540, 1619, 1732, 1886, 1884, 1730, 1617)(1541, 1620, 1733, 1888, 1891, 1734, 1621)(1553, 1638, 1759, 1919, 1922, 1760, 1639)(1557, 1644, 1765, 1928, 1926, 1763, 1642)(1560, 1563, 1650, 1774, 1937, 1770, 1647)(1561, 1648, 1771, 1938, 1882, 1729, 1616)(1565, 1652, 1777, 1947, 1950, 1778, 1653)(1569, 1659, 1785, 1958, 1956, 1783, 1657)(1571, 1662, 1788, 1963, 1961, 1786, 1660)(1572, 1663, 1789, 1965, 1968, 1790, 1664)(1591, 1691, 1830, 2145, 2156, 1831, 1692)(1595, 1698, 1838, 2133, 2161, 1836, 1696)(1597, 1701, 1841, 2041, 2503, 1839, 1699)(1598, 1702, 1842, 2273, 2575, 1843, 1703)(1618, 1731, 1885, 2318, 1892, 1735, 1622)(1623, 1736, 1893, 2325, 2472, 1894, 1737)(1626, 1741, 1898, 2054, 2522, 1896, 1739)(1627, 1742, 1899, 2333, 2617, 1900, 1743)(1633, 1752, 1912, 2085, 2135, 1913, 1753)(1637, 1758, 1918, 2217, 2096, 1916, 1756)(1640, 1643, 1764, 1927, 2359, 1923, 1761)(1641, 1762, 1924, 2356, 2184, 1895, 1738)(1654, 1658, 1784, 1957, 2388, 1951, 1779)(1656, 1782, 1954, 2385, 2148, 1952, 1780)(1661, 1787, 1962, 2394, 1969, 1791, 1665)(1666, 1781, 1953, 2383, 2444, 1970, 1792)(1667, 1793, 1971, 2230, 2248, 1972, 1794)(1671, 1800, 1979, 2079, 2259, 1977, 1798)(1673, 1803, 1982, 2026, 2316, 1980, 1801)(1674, 1804, 1983, 2413, 2551, 1984, 1805)(1679, 1812, 2162, 2033, 2490, 2282, 1810)(1680, 1813, 2237, 2673, 2633, 2587, 1814)(1686, 1823, 2254, 2099, 2116, 2592, 1824)(1690, 1829, 2177, 2226, 2121, 2130, 1827)(1693, 1697, 1837, 2266, 2447, 2681, 1832)(1695, 1835, 2264, 2634, 2168, 2030, 1833)(1700, 1840, 2157, 2339, 2579, 1844, 1704)(1705, 1834, 2158, 2627, 2456, 2674, 1845)(1706, 1846, 2276, 2272, 2315, 2642, 1847)(1710, 1853, 2073, 2084, 2377, 2183, 1851)(1712, 1856, 2285, 2018, 2392, 2639, 1854)(1713, 1857, 2089, 2336, 2569, 2210, 1858)(1717, 1863, 2295, 2202, 2209, 2655, 1864)(1721, 1870, 2086, 2098, 2215, 2160, 1868)(1723, 1873, 2304, 2021, 2474, 2652, 1871)(1724, 1874, 2102, 2578, 2597, 2251, 1875)(1740, 1897, 2137, 2374, 2618, 1901, 1744)(1745, 1902, 2092, 2566, 2492, 2678, 1903)(1747, 1905, 2337, 2044, 2194, 2611, 1906)(1751, 1911, 2327, 2349, 2064, 2090, 1909)(1754, 1757, 1917, 2348, 2424, 2688, 1914)(1755, 1915, 2345, 2649, 2303, 2007, 1904)(1767, 1932, 2112, 2043, 2505, 2301, 1930)(1768, 1933, 2287, 2676, 2646, 2605, 1934)(1772, 1940, 2372, 2080, 2122, 2599, 1941)(1776, 1946, 2193, 2267, 2078, 2147, 1944)(1795, 1799, 1978, 2196, 2479, 2662, 1973)(1797, 1976, 2406, 2581, 2105, 2058, 1974)(1802, 1981, 2253, 2290, 2549, 1985, 1806)(1807, 1975, 2255, 2624, 2428, 2647, 1986)(1808, 1987, 2065, 2535, 2519, 2279, 1988)(1811, 2242, 2117, 2213, 2434, 1998, 1815)(1816, 2216, 2118, 2595, 2497, 2664, 2231)(1818, 2031, 2484, 2055, 2171, 2585, 2249)(1822, 2252, 2402, 2521, 2053, 2103, 2250)(1825, 1828, 2258, 2560, 2344, 2558, 2083)(1826, 2220, 2538, 2657, 2235, 2012, 2245)(1848, 1852, 2283, 2173, 2496, 2475, 2022)(1850, 2280, 2645, 2563, 2087, 2066, 2278)(1855, 2175, 2371, 2308, 2423, 1992, 1859)(1860, 2289, 2373, 2628, 2431, 2619, 2179)(1861, 2291, 2049, 2515, 2533, 2298, 2433)(1865, 1869, 2302, 2189, 2415, 2481, 2027)(1867, 2299, 2620, 2576, 2100, 2050, 2297)(1872, 2191, 2211, 2239, 2419, 1990, 1876)(1877, 2307, 2212, 2631, 2437, 2635, 2199)(1879, 2039, 2491, 2034, 2187, 2602, 2309)(1880, 2311, 2057, 2417, 2556, 2233, 2439)(1883, 2208, 2514, 2332, 2176, 2641, 2317)(1887, 2320, 2047, 2144, 2342, 2214, 2178)(1889, 2107, 2436, 1999, 2435, 2684, 2321)(1890, 2323, 2146, 2262, 2398, 2222, 2350)(1907, 1910, 2341, 2590, 2422, 2589, 2114)(1908, 2139, 2499, 2668, 2432, 1997, 1989)(1920, 2312, 2128, 2037, 2495, 2643, 2352)(1921, 2353, 2465, 2640, 2680, 2540, 2355)(1925, 2059, 2525, 2115, 2062, 2531, 2358)(1929, 2363, 1967, 2399, 2113, 2204, 2361)(1931, 2364, 2124, 2256, 2440, 2001, 1935)(1936, 2225, 2074, 2548, 2507, 2669, 2274)(1939, 2370, 2683, 2523, 2056, 2106, 2369)(1942, 1945, 2376, 2573, 2420, 2571, 2097)(1943, 2153, 2543, 2637, 2284, 2014, 2367)(1948, 2240, 2141, 2017, 2467, 2666, 2378)(1949, 2379, 2416, 2653, 2660, 2545, 2384)(1955, 2067, 2537, 2134, 2081, 2554, 2387)(1959, 2391, 2154, 2408, 2131, 2223, 2322)(1960, 2247, 2504, 2621, 2192, 2654, 2393)(1964, 2396, 2048, 2129, 2606, 2257, 2219)(1966, 2091, 2449, 2005, 2448, 2675, 2397)(1991, 2324, 2360, 2314, 2234, 2170, 2421)(1993, 2400, 2389, 2241, 2281, 2186, 2425)(1994, 2426, 2682, 2632, 2167, 2104, 2427)(1995, 2313, 2136, 2126, 2486, 2644, 2429)(1996, 2430, 2677, 2294, 2300, 2150, 2411)(2000, 2293, 2123, 2110, 2509, 2625, 2438)(2002, 2441, 2672, 2570, 2095, 2119, 2443)(2003, 2243, 2195, 2068, 2517, 2630, 2445)(2004, 2446, 2650, 2368, 2403, 2206, 2228)(2006, 2450, 2658, 2207, 2470, 2244, 2270)(2008, 2380, 2687, 2557, 2082, 2159, 2453)(2009, 2454, 2663, 2598, 2120, 2075, 2455)(2010, 2365, 2172, 2071, 2530, 2591, 2457)(2011, 2458, 2638, 2246, 2442, 2366, 2200)(2013, 2460, 2616, 2520, 2052, 2165, 2357)(2015, 2346, 2685, 2534, 2063, 2181, 2386)(2016, 2185, 2319, 2108, 2501, 2665, 2466)(2019, 2469, 2661, 2552, 2077, 2093, 2471)(2020, 2205, 2188, 2060, 2527, 2608, 2473)(2023, 2306, 2610, 2151, 2461, 2686, 2476)(2024, 2149, 2395, 2076, 2511, 2670, 2477)(2025, 2478, 2622, 2615, 2261, 2292, 2143)(2028, 2238, 2594, 2166, 2464, 2326, 2482)(2029, 2288, 2601, 2182, 2452, 2401, 2330)(2032, 2487, 2561, 2508, 2045, 2296, 2180)(2035, 2232, 2221, 2040, 2500, 2574, 2493)(2036, 2169, 2568, 2094, 2488, 2679, 2494)(2038, 2277, 2155, 2046, 2510, 2553, 2347)(2042, 2142, 2614, 2375, 2152, 2275, 2351)(2051, 2412, 2506, 2265, 2070, 2541, 2164)(2061, 2229, 2480, 2584, 2109, 2559, 2218)(2069, 2271, 2468, 2407, 2125, 2572, 2227)(2072, 2201, 2405, 2340, 2138, 2335, 2268)(2088, 2564, 2542, 2607, 2418, 2354, 2132)(2101, 2577, 2526, 2629, 2414, 2381, 2163)(2111, 2331, 2224, 2404, 2197, 2390, 2562)(2127, 2604, 2263, 2329, 2174, 2547, 2409)(2140, 2613, 2203, 2651, 2190, 2362, 2546)(2198, 2659, 2334, 2269, 2310, 2513, 2588)(2236, 2536, 2485, 2596, 2451, 2582, 2382)(2260, 2626, 2462, 2410, 2671, 2529, 2583)(2286, 2516, 2498, 2550, 2459, 2565, 2483)(2305, 2524, 2338, 2567, 2463, 2580, 2328)(2343, 2609, 2489, 2603, 2648, 2555, 2528)(2502, 2612, 2656, 2518, 2539, 2667, 2593)(2512, 2586, 2636, 2532, 2544, 2623, 2600)
	L = (1, 1345)(2, 1346)(3, 1347)(4, 1348)(5, 1349)(6, 1350)(7, 1351)(8, 1352)(9, 1353)(10, 1354)(11, 1355)(12, 1356)(13, 1357)(14, 1358)(15, 1359)(16, 1360)(17, 1361)(18, 1362)(19, 1363)(20, 1364)(21, 1365)(22, 1366)(23, 1367)(24, 1368)(25, 1369)(26, 1370)(27, 1371)(28, 1372)(29, 1373)(30, 1374)(31, 1375)(32, 1376)(33, 1377)(34, 1378)(35, 1379)(36, 1380)(37, 1381)(38, 1382)(39, 1383)(40, 1384)(41, 1385)(42, 1386)(43, 1387)(44, 1388)(45, 1389)(46, 1390)(47, 1391)(48, 1392)(49, 1393)(50, 1394)(51, 1395)(52, 1396)(53, 1397)(54, 1398)(55, 1399)(56, 1400)(57, 1401)(58, 1402)(59, 1403)(60, 1404)(61, 1405)(62, 1406)(63, 1407)(64, 1408)(65, 1409)(66, 1410)(67, 1411)(68, 1412)(69, 1413)(70, 1414)(71, 1415)(72, 1416)(73, 1417)(74, 1418)(75, 1419)(76, 1420)(77, 1421)(78, 1422)(79, 1423)(80, 1424)(81, 1425)(82, 1426)(83, 1427)(84, 1428)(85, 1429)(86, 1430)(87, 1431)(88, 1432)(89, 1433)(90, 1434)(91, 1435)(92, 1436)(93, 1437)(94, 1438)(95, 1439)(96, 1440)(97, 1441)(98, 1442)(99, 1443)(100, 1444)(101, 1445)(102, 1446)(103, 1447)(104, 1448)(105, 1449)(106, 1450)(107, 1451)(108, 1452)(109, 1453)(110, 1454)(111, 1455)(112, 1456)(113, 1457)(114, 1458)(115, 1459)(116, 1460)(117, 1461)(118, 1462)(119, 1463)(120, 1464)(121, 1465)(122, 1466)(123, 1467)(124, 1468)(125, 1469)(126, 1470)(127, 1471)(128, 1472)(129, 1473)(130, 1474)(131, 1475)(132, 1476)(133, 1477)(134, 1478)(135, 1479)(136, 1480)(137, 1481)(138, 1482)(139, 1483)(140, 1484)(141, 1485)(142, 1486)(143, 1487)(144, 1488)(145, 1489)(146, 1490)(147, 1491)(148, 1492)(149, 1493)(150, 1494)(151, 1495)(152, 1496)(153, 1497)(154, 1498)(155, 1499)(156, 1500)(157, 1501)(158, 1502)(159, 1503)(160, 1504)(161, 1505)(162, 1506)(163, 1507)(164, 1508)(165, 1509)(166, 1510)(167, 1511)(168, 1512)(169, 1513)(170, 1514)(171, 1515)(172, 1516)(173, 1517)(174, 1518)(175, 1519)(176, 1520)(177, 1521)(178, 1522)(179, 1523)(180, 1524)(181, 1525)(182, 1526)(183, 1527)(184, 1528)(185, 1529)(186, 1530)(187, 1531)(188, 1532)(189, 1533)(190, 1534)(191, 1535)(192, 1536)(193, 1537)(194, 1538)(195, 1539)(196, 1540)(197, 1541)(198, 1542)(199, 1543)(200, 1544)(201, 1545)(202, 1546)(203, 1547)(204, 1548)(205, 1549)(206, 1550)(207, 1551)(208, 1552)(209, 1553)(210, 1554)(211, 1555)(212, 1556)(213, 1557)(214, 1558)(215, 1559)(216, 1560)(217, 1561)(218, 1562)(219, 1563)(220, 1564)(221, 1565)(222, 1566)(223, 1567)(224, 1568)(225, 1569)(226, 1570)(227, 1571)(228, 1572)(229, 1573)(230, 1574)(231, 1575)(232, 1576)(233, 1577)(234, 1578)(235, 1579)(236, 1580)(237, 1581)(238, 1582)(239, 1583)(240, 1584)(241, 1585)(242, 1586)(243, 1587)(244, 1588)(245, 1589)(246, 1590)(247, 1591)(248, 1592)(249, 1593)(250, 1594)(251, 1595)(252, 1596)(253, 1597)(254, 1598)(255, 1599)(256, 1600)(257, 1601)(258, 1602)(259, 1603)(260, 1604)(261, 1605)(262, 1606)(263, 1607)(264, 1608)(265, 1609)(266, 1610)(267, 1611)(268, 1612)(269, 1613)(270, 1614)(271, 1615)(272, 1616)(273, 1617)(274, 1618)(275, 1619)(276, 1620)(277, 1621)(278, 1622)(279, 1623)(280, 1624)(281, 1625)(282, 1626)(283, 1627)(284, 1628)(285, 1629)(286, 1630)(287, 1631)(288, 1632)(289, 1633)(290, 1634)(291, 1635)(292, 1636)(293, 1637)(294, 1638)(295, 1639)(296, 1640)(297, 1641)(298, 1642)(299, 1643)(300, 1644)(301, 1645)(302, 1646)(303, 1647)(304, 1648)(305, 1649)(306, 1650)(307, 1651)(308, 1652)(309, 1653)(310, 1654)(311, 1655)(312, 1656)(313, 1657)(314, 1658)(315, 1659)(316, 1660)(317, 1661)(318, 1662)(319, 1663)(320, 1664)(321, 1665)(322, 1666)(323, 1667)(324, 1668)(325, 1669)(326, 1670)(327, 1671)(328, 1672)(329, 1673)(330, 1674)(331, 1675)(332, 1676)(333, 1677)(334, 1678)(335, 1679)(336, 1680)(337, 1681)(338, 1682)(339, 1683)(340, 1684)(341, 1685)(342, 1686)(343, 1687)(344, 1688)(345, 1689)(346, 1690)(347, 1691)(348, 1692)(349, 1693)(350, 1694)(351, 1695)(352, 1696)(353, 1697)(354, 1698)(355, 1699)(356, 1700)(357, 1701)(358, 1702)(359, 1703)(360, 1704)(361, 1705)(362, 1706)(363, 1707)(364, 1708)(365, 1709)(366, 1710)(367, 1711)(368, 1712)(369, 1713)(370, 1714)(371, 1715)(372, 1716)(373, 1717)(374, 1718)(375, 1719)(376, 1720)(377, 1721)(378, 1722)(379, 1723)(380, 1724)(381, 1725)(382, 1726)(383, 1727)(384, 1728)(385, 1729)(386, 1730)(387, 1731)(388, 1732)(389, 1733)(390, 1734)(391, 1735)(392, 1736)(393, 1737)(394, 1738)(395, 1739)(396, 1740)(397, 1741)(398, 1742)(399, 1743)(400, 1744)(401, 1745)(402, 1746)(403, 1747)(404, 1748)(405, 1749)(406, 1750)(407, 1751)(408, 1752)(409, 1753)(410, 1754)(411, 1755)(412, 1756)(413, 1757)(414, 1758)(415, 1759)(416, 1760)(417, 1761)(418, 1762)(419, 1763)(420, 1764)(421, 1765)(422, 1766)(423, 1767)(424, 1768)(425, 1769)(426, 1770)(427, 1771)(428, 1772)(429, 1773)(430, 1774)(431, 1775)(432, 1776)(433, 1777)(434, 1778)(435, 1779)(436, 1780)(437, 1781)(438, 1782)(439, 1783)(440, 1784)(441, 1785)(442, 1786)(443, 1787)(444, 1788)(445, 1789)(446, 1790)(447, 1791)(448, 1792)(449, 1793)(450, 1794)(451, 1795)(452, 1796)(453, 1797)(454, 1798)(455, 1799)(456, 1800)(457, 1801)(458, 1802)(459, 1803)(460, 1804)(461, 1805)(462, 1806)(463, 1807)(464, 1808)(465, 1809)(466, 1810)(467, 1811)(468, 1812)(469, 1813)(470, 1814)(471, 1815)(472, 1816)(473, 1817)(474, 1818)(475, 1819)(476, 1820)(477, 1821)(478, 1822)(479, 1823)(480, 1824)(481, 1825)(482, 1826)(483, 1827)(484, 1828)(485, 1829)(486, 1830)(487, 1831)(488, 1832)(489, 1833)(490, 1834)(491, 1835)(492, 1836)(493, 1837)(494, 1838)(495, 1839)(496, 1840)(497, 1841)(498, 1842)(499, 1843)(500, 1844)(501, 1845)(502, 1846)(503, 1847)(504, 1848)(505, 1849)(506, 1850)(507, 1851)(508, 1852)(509, 1853)(510, 1854)(511, 1855)(512, 1856)(513, 1857)(514, 1858)(515, 1859)(516, 1860)(517, 1861)(518, 1862)(519, 1863)(520, 1864)(521, 1865)(522, 1866)(523, 1867)(524, 1868)(525, 1869)(526, 1870)(527, 1871)(528, 1872)(529, 1873)(530, 1874)(531, 1875)(532, 1876)(533, 1877)(534, 1878)(535, 1879)(536, 1880)(537, 1881)(538, 1882)(539, 1883)(540, 1884)(541, 1885)(542, 1886)(543, 1887)(544, 1888)(545, 1889)(546, 1890)(547, 1891)(548, 1892)(549, 1893)(550, 1894)(551, 1895)(552, 1896)(553, 1897)(554, 1898)(555, 1899)(556, 1900)(557, 1901)(558, 1902)(559, 1903)(560, 1904)(561, 1905)(562, 1906)(563, 1907)(564, 1908)(565, 1909)(566, 1910)(567, 1911)(568, 1912)(569, 1913)(570, 1914)(571, 1915)(572, 1916)(573, 1917)(574, 1918)(575, 1919)(576, 1920)(577, 1921)(578, 1922)(579, 1923)(580, 1924)(581, 1925)(582, 1926)(583, 1927)(584, 1928)(585, 1929)(586, 1930)(587, 1931)(588, 1932)(589, 1933)(590, 1934)(591, 1935)(592, 1936)(593, 1937)(594, 1938)(595, 1939)(596, 1940)(597, 1941)(598, 1942)(599, 1943)(600, 1944)(601, 1945)(602, 1946)(603, 1947)(604, 1948)(605, 1949)(606, 1950)(607, 1951)(608, 1952)(609, 1953)(610, 1954)(611, 1955)(612, 1956)(613, 1957)(614, 1958)(615, 1959)(616, 1960)(617, 1961)(618, 1962)(619, 1963)(620, 1964)(621, 1965)(622, 1966)(623, 1967)(624, 1968)(625, 1969)(626, 1970)(627, 1971)(628, 1972)(629, 1973)(630, 1974)(631, 1975)(632, 1976)(633, 1977)(634, 1978)(635, 1979)(636, 1980)(637, 1981)(638, 1982)(639, 1983)(640, 1984)(641, 1985)(642, 1986)(643, 1987)(644, 1988)(645, 1989)(646, 1990)(647, 1991)(648, 1992)(649, 1993)(650, 1994)(651, 1995)(652, 1996)(653, 1997)(654, 1998)(655, 1999)(656, 2000)(657, 2001)(658, 2002)(659, 2003)(660, 2004)(661, 2005)(662, 2006)(663, 2007)(664, 2008)(665, 2009)(666, 2010)(667, 2011)(668, 2012)(669, 2013)(670, 2014)(671, 2015)(672, 2016)(673, 2017)(674, 2018)(675, 2019)(676, 2020)(677, 2021)(678, 2022)(679, 2023)(680, 2024)(681, 2025)(682, 2026)(683, 2027)(684, 2028)(685, 2029)(686, 2030)(687, 2031)(688, 2032)(689, 2033)(690, 2034)(691, 2035)(692, 2036)(693, 2037)(694, 2038)(695, 2039)(696, 2040)(697, 2041)(698, 2042)(699, 2043)(700, 2044)(701, 2045)(702, 2046)(703, 2047)(704, 2048)(705, 2049)(706, 2050)(707, 2051)(708, 2052)(709, 2053)(710, 2054)(711, 2055)(712, 2056)(713, 2057)(714, 2058)(715, 2059)(716, 2060)(717, 2061)(718, 2062)(719, 2063)(720, 2064)(721, 2065)(722, 2066)(723, 2067)(724, 2068)(725, 2069)(726, 2070)(727, 2071)(728, 2072)(729, 2073)(730, 2074)(731, 2075)(732, 2076)(733, 2077)(734, 2078)(735, 2079)(736, 2080)(737, 2081)(738, 2082)(739, 2083)(740, 2084)(741, 2085)(742, 2086)(743, 2087)(744, 2088)(745, 2089)(746, 2090)(747, 2091)(748, 2092)(749, 2093)(750, 2094)(751, 2095)(752, 2096)(753, 2097)(754, 2098)(755, 2099)(756, 2100)(757, 2101)(758, 2102)(759, 2103)(760, 2104)(761, 2105)(762, 2106)(763, 2107)(764, 2108)(765, 2109)(766, 2110)(767, 2111)(768, 2112)(769, 2113)(770, 2114)(771, 2115)(772, 2116)(773, 2117)(774, 2118)(775, 2119)(776, 2120)(777, 2121)(778, 2122)(779, 2123)(780, 2124)(781, 2125)(782, 2126)(783, 2127)(784, 2128)(785, 2129)(786, 2130)(787, 2131)(788, 2132)(789, 2133)(790, 2134)(791, 2135)(792, 2136)(793, 2137)(794, 2138)(795, 2139)(796, 2140)(797, 2141)(798, 2142)(799, 2143)(800, 2144)(801, 2145)(802, 2146)(803, 2147)(804, 2148)(805, 2149)(806, 2150)(807, 2151)(808, 2152)(809, 2153)(810, 2154)(811, 2155)(812, 2156)(813, 2157)(814, 2158)(815, 2159)(816, 2160)(817, 2161)(818, 2162)(819, 2163)(820, 2164)(821, 2165)(822, 2166)(823, 2167)(824, 2168)(825, 2169)(826, 2170)(827, 2171)(828, 2172)(829, 2173)(830, 2174)(831, 2175)(832, 2176)(833, 2177)(834, 2178)(835, 2179)(836, 2180)(837, 2181)(838, 2182)(839, 2183)(840, 2184)(841, 2185)(842, 2186)(843, 2187)(844, 2188)(845, 2189)(846, 2190)(847, 2191)(848, 2192)(849, 2193)(850, 2194)(851, 2195)(852, 2196)(853, 2197)(854, 2198)(855, 2199)(856, 2200)(857, 2201)(858, 2202)(859, 2203)(860, 2204)(861, 2205)(862, 2206)(863, 2207)(864, 2208)(865, 2209)(866, 2210)(867, 2211)(868, 2212)(869, 2213)(870, 2214)(871, 2215)(872, 2216)(873, 2217)(874, 2218)(875, 2219)(876, 2220)(877, 2221)(878, 2222)(879, 2223)(880, 2224)(881, 2225)(882, 2226)(883, 2227)(884, 2228)(885, 2229)(886, 2230)(887, 2231)(888, 2232)(889, 2233)(890, 2234)(891, 2235)(892, 2236)(893, 2237)(894, 2238)(895, 2239)(896, 2240)(897, 2241)(898, 2242)(899, 2243)(900, 2244)(901, 2245)(902, 2246)(903, 2247)(904, 2248)(905, 2249)(906, 2250)(907, 2251)(908, 2252)(909, 2253)(910, 2254)(911, 2255)(912, 2256)(913, 2257)(914, 2258)(915, 2259)(916, 2260)(917, 2261)(918, 2262)(919, 2263)(920, 2264)(921, 2265)(922, 2266)(923, 2267)(924, 2268)(925, 2269)(926, 2270)(927, 2271)(928, 2272)(929, 2273)(930, 2274)(931, 2275)(932, 2276)(933, 2277)(934, 2278)(935, 2279)(936, 2280)(937, 2281)(938, 2282)(939, 2283)(940, 2284)(941, 2285)(942, 2286)(943, 2287)(944, 2288)(945, 2289)(946, 2290)(947, 2291)(948, 2292)(949, 2293)(950, 2294)(951, 2295)(952, 2296)(953, 2297)(954, 2298)(955, 2299)(956, 2300)(957, 2301)(958, 2302)(959, 2303)(960, 2304)(961, 2305)(962, 2306)(963, 2307)(964, 2308)(965, 2309)(966, 2310)(967, 2311)(968, 2312)(969, 2313)(970, 2314)(971, 2315)(972, 2316)(973, 2317)(974, 2318)(975, 2319)(976, 2320)(977, 2321)(978, 2322)(979, 2323)(980, 2324)(981, 2325)(982, 2326)(983, 2327)(984, 2328)(985, 2329)(986, 2330)(987, 2331)(988, 2332)(989, 2333)(990, 2334)(991, 2335)(992, 2336)(993, 2337)(994, 2338)(995, 2339)(996, 2340)(997, 2341)(998, 2342)(999, 2343)(1000, 2344)(1001, 2345)(1002, 2346)(1003, 2347)(1004, 2348)(1005, 2349)(1006, 2350)(1007, 2351)(1008, 2352)(1009, 2353)(1010, 2354)(1011, 2355)(1012, 2356)(1013, 2357)(1014, 2358)(1015, 2359)(1016, 2360)(1017, 2361)(1018, 2362)(1019, 2363)(1020, 2364)(1021, 2365)(1022, 2366)(1023, 2367)(1024, 2368)(1025, 2369)(1026, 2370)(1027, 2371)(1028, 2372)(1029, 2373)(1030, 2374)(1031, 2375)(1032, 2376)(1033, 2377)(1034, 2378)(1035, 2379)(1036, 2380)(1037, 2381)(1038, 2382)(1039, 2383)(1040, 2384)(1041, 2385)(1042, 2386)(1043, 2387)(1044, 2388)(1045, 2389)(1046, 2390)(1047, 2391)(1048, 2392)(1049, 2393)(1050, 2394)(1051, 2395)(1052, 2396)(1053, 2397)(1054, 2398)(1055, 2399)(1056, 2400)(1057, 2401)(1058, 2402)(1059, 2403)(1060, 2404)(1061, 2405)(1062, 2406)(1063, 2407)(1064, 2408)(1065, 2409)(1066, 2410)(1067, 2411)(1068, 2412)(1069, 2413)(1070, 2414)(1071, 2415)(1072, 2416)(1073, 2417)(1074, 2418)(1075, 2419)(1076, 2420)(1077, 2421)(1078, 2422)(1079, 2423)(1080, 2424)(1081, 2425)(1082, 2426)(1083, 2427)(1084, 2428)(1085, 2429)(1086, 2430)(1087, 2431)(1088, 2432)(1089, 2433)(1090, 2434)(1091, 2435)(1092, 2436)(1093, 2437)(1094, 2438)(1095, 2439)(1096, 2440)(1097, 2441)(1098, 2442)(1099, 2443)(1100, 2444)(1101, 2445)(1102, 2446)(1103, 2447)(1104, 2448)(1105, 2449)(1106, 2450)(1107, 2451)(1108, 2452)(1109, 2453)(1110, 2454)(1111, 2455)(1112, 2456)(1113, 2457)(1114, 2458)(1115, 2459)(1116, 2460)(1117, 2461)(1118, 2462)(1119, 2463)(1120, 2464)(1121, 2465)(1122, 2466)(1123, 2467)(1124, 2468)(1125, 2469)(1126, 2470)(1127, 2471)(1128, 2472)(1129, 2473)(1130, 2474)(1131, 2475)(1132, 2476)(1133, 2477)(1134, 2478)(1135, 2479)(1136, 2480)(1137, 2481)(1138, 2482)(1139, 2483)(1140, 2484)(1141, 2485)(1142, 2486)(1143, 2487)(1144, 2488)(1145, 2489)(1146, 2490)(1147, 2491)(1148, 2492)(1149, 2493)(1150, 2494)(1151, 2495)(1152, 2496)(1153, 2497)(1154, 2498)(1155, 2499)(1156, 2500)(1157, 2501)(1158, 2502)(1159, 2503)(1160, 2504)(1161, 2505)(1162, 2506)(1163, 2507)(1164, 2508)(1165, 2509)(1166, 2510)(1167, 2511)(1168, 2512)(1169, 2513)(1170, 2514)(1171, 2515)(1172, 2516)(1173, 2517)(1174, 2518)(1175, 2519)(1176, 2520)(1177, 2521)(1178, 2522)(1179, 2523)(1180, 2524)(1181, 2525)(1182, 2526)(1183, 2527)(1184, 2528)(1185, 2529)(1186, 2530)(1187, 2531)(1188, 2532)(1189, 2533)(1190, 2534)(1191, 2535)(1192, 2536)(1193, 2537)(1194, 2538)(1195, 2539)(1196, 2540)(1197, 2541)(1198, 2542)(1199, 2543)(1200, 2544)(1201, 2545)(1202, 2546)(1203, 2547)(1204, 2548)(1205, 2549)(1206, 2550)(1207, 2551)(1208, 2552)(1209, 2553)(1210, 2554)(1211, 2555)(1212, 2556)(1213, 2557)(1214, 2558)(1215, 2559)(1216, 2560)(1217, 2561)(1218, 2562)(1219, 2563)(1220, 2564)(1221, 2565)(1222, 2566)(1223, 2567)(1224, 2568)(1225, 2569)(1226, 2570)(1227, 2571)(1228, 2572)(1229, 2573)(1230, 2574)(1231, 2575)(1232, 2576)(1233, 2577)(1234, 2578)(1235, 2579)(1236, 2580)(1237, 2581)(1238, 2582)(1239, 2583)(1240, 2584)(1241, 2585)(1242, 2586)(1243, 2587)(1244, 2588)(1245, 2589)(1246, 2590)(1247, 2591)(1248, 2592)(1249, 2593)(1250, 2594)(1251, 2595)(1252, 2596)(1253, 2597)(1254, 2598)(1255, 2599)(1256, 2600)(1257, 2601)(1258, 2602)(1259, 2603)(1260, 2604)(1261, 2605)(1262, 2606)(1263, 2607)(1264, 2608)(1265, 2609)(1266, 2610)(1267, 2611)(1268, 2612)(1269, 2613)(1270, 2614)(1271, 2615)(1272, 2616)(1273, 2617)(1274, 2618)(1275, 2619)(1276, 2620)(1277, 2621)(1278, 2622)(1279, 2623)(1280, 2624)(1281, 2625)(1282, 2626)(1283, 2627)(1284, 2628)(1285, 2629)(1286, 2630)(1287, 2631)(1288, 2632)(1289, 2633)(1290, 2634)(1291, 2635)(1292, 2636)(1293, 2637)(1294, 2638)(1295, 2639)(1296, 2640)(1297, 2641)(1298, 2642)(1299, 2643)(1300, 2644)(1301, 2645)(1302, 2646)(1303, 2647)(1304, 2648)(1305, 2649)(1306, 2650)(1307, 2651)(1308, 2652)(1309, 2653)(1310, 2654)(1311, 2655)(1312, 2656)(1313, 2657)(1314, 2658)(1315, 2659)(1316, 2660)(1317, 2661)(1318, 2662)(1319, 2663)(1320, 2664)(1321, 2665)(1322, 2666)(1323, 2667)(1324, 2668)(1325, 2669)(1326, 2670)(1327, 2671)(1328, 2672)(1329, 2673)(1330, 2674)(1331, 2675)(1332, 2676)(1333, 2677)(1334, 2678)(1335, 2679)(1336, 2680)(1337, 2681)(1338, 2682)(1339, 2683)(1340, 2684)(1341, 2685)(1342, 2686)(1343, 2687)(1344, 2688)
	local type(s) :: { ( 4^3 ), ( 4^7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+
Graph:: simple bipartite
	v = 640 e = 1344 f = 672
	degree seq :: [ 3^448, 7^192 ]

E17.2388 :: Family: { 5 } :: Oriented family(ies): { E3a }
Signature :: (0; {2, 3, 7})
Quotient :: edge
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^3, X1^7, (X1^-2 * X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1)^2, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-3 ]
Map:: polytopal
	R = (1, 2, 5, 11, 20, 10, 4)(3, 7, 15, 26, 30, 17, 8)(6, 13, 24, 39, 42, 25, 14)(9, 18, 31, 49, 46, 28, 16)(12, 22, 37, 57, 60, 38, 23)(19, 33, 52, 77, 76, 51, 32)(21, 35, 55, 81, 84, 56, 36)(27, 44, 67, 97, 100, 68, 45)(29, 47, 70, 102, 91, 62, 40)(34, 54, 80, 115, 114, 79, 53)(41, 63, 92, 130, 123, 86, 58)(43, 65, 95, 134, 137, 96, 66)(48, 72, 105, 147, 146, 104, 71)(50, 74, 108, 151, 154, 109, 75)(59, 87, 124, 172, 165, 118, 82)(61, 89, 127, 176, 179, 128, 90)(64, 94, 133, 185, 184, 132, 93)(69, 101, 142, 197, 193, 139, 98)(73, 106, 149, 206, 209, 150, 107)(78, 112, 158, 217, 220, 159, 113)(83, 119, 166, 228, 224, 162, 116)(85, 121, 169, 232, 235, 170, 122)(88, 126, 175, 241, 240, 174, 125)(99, 140, 194, 264, 257, 188, 135)(103, 144, 201, 272, 275, 202, 145)(110, 155, 214, 290, 286, 211, 152)(111, 156, 215, 292, 295, 216, 157)(117, 163, 225, 304, 307, 226, 164)(120, 168, 231, 313, 312, 230, 167)(129, 180, 247, 333, 329, 244, 177)(131, 182, 250, 337, 340, 251, 183)(136, 189, 258, 348, 279, 205, 148)(138, 191, 261, 352, 355, 262, 192)(141, 196, 267, 361, 360, 266, 195)(143, 199, 270, 366, 369, 271, 200)(153, 212, 287, 387, 380, 281, 207)(160, 221, 300, 403, 399, 297, 218)(161, 222, 301, 405, 408, 302, 223)(171, 236, 319, 649, 1115, 316, 233)(173, 238, 322, 653, 1165, 323, 239)(178, 245, 330, 666, 344, 254, 186)(181, 248, 335, 672, 514, 336, 249)(187, 255, 345, 687, 668, 346, 256)(190, 260, 351, 696, 921, 350, 259)(198, 208, 282, 381, 734, 365, 269)(203, 276, 374, 722, 995, 371, 273)(204, 277, 375, 724, 502, 376, 278)(210, 284, 384, 738, 1239, 385, 285)(213, 289, 390, 746, 577, 389, 288)(219, 298, 400, 763, 1262, 394, 293)(227, 308, 633, 1142, 1188, 1322, 305)(229, 310, 419, 799, 1198, 1024, 311)(234, 317, 644, 1155, 1260, 326, 242)(237, 320, 651, 947, 488, 566, 321)(243, 327, 458, 895, 1157, 1303, 328)(246, 332, 669, 1177, 697, 490, 331)(252, 341, 682, 1123, 940, 612, 338)(253, 342, 555, 1013, 533, 1011, 343)(263, 356, 702, 1077, 1063, 1323, 353)(265, 358, 412, 780, 1273, 919, 359)(268, 363, 620, 932, 479, 728, 364)(274, 372, 717, 1222, 1344, 1289, 367)(280, 378, 526, 999, 597, 1097, 379)(283, 383, 737, 1089, 887, 572, 382)(291, 294, 395, 755, 1257, 984, 392)(296, 397, 426, 821, 1236, 1073, 398)(299, 402, 766, 1021, 538, 481, 401)(303, 409, 773, 1194, 1337, 1311, 406)(306, 423, 811, 1287, 1125, 1225, 314)(309, 635, 1145, 729, 507, 521, 774)(315, 642, 477, 743, 1246, 1064, 570)(318, 647, 1130, 1212, 899, 460, 645)(324, 657, 1111, 1035, 945, 686, 654)(325, 659, 589, 1059, 567, 894, 457)(334, 368, 410, 776, 1271, 952, 1241)(339, 475, 926, 754, 1256, 1182, 673)(347, 558, 1048, 1252, 1141, 1195, 688)(349, 694, 430, 832, 1067, 992, 1314)(354, 445, 868, 1293, 1343, 1159, 362)(357, 704, 1186, 679, 469, 606, 730)(370, 715, 442, 863, 1193, 1189, 683)(373, 720, 1227, 1106, 602, 451, 718)(377, 515, 982, 1319, 1340, 1231, 725)(386, 613, 1120, 1029, 1070, 1240, 739)(388, 744, 416, 791, 1232, 884, 1283)(391, 749, 765, 903, 462, 901, 530)(393, 752, 571, 1065, 736, 905, 463)(396, 758, 1022, 1045, 858, 532, 756)(404, 407, 415, 788, 1276, 1039, 1196)(411, 778, 1272, 907, 1162, 650, 675)(413, 782, 1274, 861, 1310, 1143, 784)(414, 785, 1275, 929, 1326, 1210, 787)(417, 793, 1220, 835, 1300, 1268, 795)(418, 796, 1278, 965, 1230, 723, 727)(420, 802, 1152, 819, 1292, 1285, 804)(421, 805, 1137, 937, 1176, 667, 807)(422, 808, 1286, 893, 1318, 1281, 810)(424, 814, 1290, 855, 1167, 764, 816)(425, 817, 1291, 1009, 1207, 699, 820)(427, 823, 1296, 846, 1304, 1297, 825)(428, 826, 1057, 969, 1217, 1156, 828)(429, 829, 760, 813, 1288, 1298, 831)(431, 822, 1294, 1174, 1133, 630, 690)(432, 836, 1183, 900, 1151, 1223, 838)(433, 839, 662, 798, 1279, 1302, 841)(434, 842, 1192, 684, 1190, 1166, 844)(435, 708, 1216, 710, 1112, 607, 847)(436, 745, 1247, 878, 1206, 1208, 700)(437, 849, 701, 1016, 1219, 1249, 748)(438, 851, 617, 790, 1277, 1308, 853)(439, 740, 1242, 1339, 1054, 770, 856)(440, 857, 1204, 869, 1267, 1309, 859)(441, 801, 1284, 1095, 1072, 578, 862)(443, 854, 1110, 950, 1081, 1306, 850)(444, 865, 1235, 731, 768, 1140, 631)(446, 870, 637, 646, 1158, 1313, 872)(447, 873, 1015, 1060, 1237, 735, 674)(448, 676, 594, 670, 1178, 1224, 876)(449, 712, 1119, 611, 1117, 678, 879)(450, 601, 1104, 742, 1244, 1114, 608)(452, 881, 551, 757, 1258, 1153, 883)(453, 598, 716, 1221, 979, 622, 885)(454, 886, 1226, 719, 1129, 1171, 874)(455, 888, 1100, 1113, 1170, 677, 889)(456, 890, 1096, 595, 621, 1128, 771)(459, 897, 1320, 904, 641, 1074, 579)(461, 896, 643, 1154, 1084, 747, 741)(464, 655, 1168, 1234, 1023, 539, 908)(465, 909, 1295, 1116, 610, 698, 910)(466, 834, 1105, 1005, 1032, 1250, 827)(467, 911, 582, 587, 1083, 1254, 913)(468, 914, 680, 1138, 1199, 691, 605)(470, 916, 516, 615, 1122, 1324, 918)(471, 556, 1044, 1338, 1026, 560, 920)(472, 906, 1238, 927, 1042, 1299, 833)(473, 922, 1046, 1185, 1101, 599, 726)(474, 923, 1175, 663, 554, 1041, 623)(476, 640, 1149, 652, 991, 522, 930)(478, 812, 632, 996, 1051, 1243, 864)(480, 537, 1020, 867, 1248, 1061, 568)(482, 934, 499, 767, 1265, 1269, 936)(483, 534, 624, 1131, 925, 713, 938)(484, 939, 1134, 625, 1132, 1148, 638)(485, 769, 1010, 531, 671, 1180, 943)(486, 944, 706, 563, 1053, 1261, 761)(487, 946, 949, 1233, 1068, 574, 565)(489, 695, 1205, 942, 585, 1025, 540)(491, 689, 586, 1082, 1036, 1264, 951)(492, 590, 1088, 1333, 975, 508, 953)(493, 693, 1202, 1211, 703, 658, 954)(494, 860, 1098, 964, 988, 1197, 806)(495, 955, 544, 549, 1034, 1330, 957)(496, 958, 1090, 1315, 1047, 557, 959)(497, 960, 1331, 989, 519, 987, 561)(498, 963, 614, 1121, 1259, 1163, 656)(500, 600, 1102, 998, 525, 629, 966)(501, 789, 772, 941, 974, 1099, 837)(503, 576, 1071, 892, 709, 993, 523)(504, 573, 562, 1052, 962, 1181, 970)(505, 971, 714, 512, 978, 1126, 618)(506, 973, 692, 1200, 1139, 628, 520)(509, 527, 1002, 1334, 997, 547, 976)(510, 928, 1184, 981, 972, 1282, 800)(511, 977, 1004, 1328, 1017, 535, 627)(513, 980, 1191, 1342, 1280, 1127, 711)(517, 575, 1069, 1075, 580, 1031, 985)(518, 818, 1012, 924, 956, 1066, 792)(524, 994, 1270, 775, 1103, 1079, 583)(528, 1001, 548, 1033, 1124, 1321, 1006)(529, 1007, 1169, 1301, 1091, 591, 1008)(536, 1018, 1027, 542, 986, 1040, 552)(541, 753, 1255, 983, 1019, 1215, 707)(543, 1028, 1327, 1209, 1305, 1043, 685)(545, 569, 1062, 1144, 634, 1080, 1030)(546, 845, 1058, 961, 912, 733, 781)(550, 1037, 593, 1094, 1266, 1316, 1038)(553, 797, 967, 891, 917, 1014, 815)(559, 681, 1150, 1307, 1093, 616, 1050)(564, 1055, 1118, 1341, 1179, 1263, 1056)(581, 1076, 1229, 721, 1228, 1087, 1078)(584, 877, 990, 1003, 871, 596, 777)(588, 1085, 661, 1173, 750, 1251, 1086)(592, 1092, 1108, 1203, 1253, 751, 664)(603, 1107, 1161, 648, 1160, 1000, 732)(604, 609, 660, 1172, 1049, 759, 1109)(619, 786, 931, 866, 882, 968, 794)(626, 1135, 1218, 1214, 705, 1213, 1136)(636, 1146, 1336, 1187, 1245, 1164, 1147)(639, 843, 935, 948, 830, 665, 779)(762, 809, 902, 898, 852, 933, 783)(803, 915, 824, 875, 848, 840, 880)(1201, 1317, 1332, 1329, 1312, 1325, 1335)(1345, 1347)(1346, 1350)(1348, 1353)(1349, 1356)(1351, 1360)(1352, 1357)(1354, 1363)(1355, 1365)(1358, 1366)(1359, 1371)(1361, 1373)(1362, 1376)(1364, 1378)(1367, 1379)(1368, 1384)(1369, 1385)(1370, 1387)(1372, 1388)(1374, 1392)(1375, 1394)(1377, 1397)(1380, 1398)(1381, 1402)(1382, 1403)(1383, 1405)(1386, 1408)(1389, 1409)(1390, 1413)(1391, 1415)(1393, 1417)(1395, 1418)(1396, 1422)(1399, 1426)(1400, 1427)(1401, 1429)(1404, 1432)(1406, 1433)(1407, 1437)(1410, 1416)(1411, 1442)(1412, 1443)(1414, 1447)(1419, 1450)(1420, 1454)(1421, 1455)(1423, 1456)(1424, 1460)(1425, 1461)(1428, 1464)(1430, 1465)(1431, 1469)(1434, 1438)(1435, 1473)(1436, 1475)(1439, 1479)(1440, 1480)(1441, 1482)(1444, 1485)(1445, 1451)(1446, 1487)(1448, 1488)(1449, 1492)(1452, 1496)(1453, 1497)(1457, 1500)(1458, 1504)(1459, 1505)(1462, 1507)(1463, 1511)(1466, 1470)(1467, 1515)(1468, 1517)(1471, 1521)(1472, 1522)(1474, 1525)(1476, 1526)(1477, 1530)(1478, 1531)(1481, 1534)(1483, 1535)(1484, 1539)(1486, 1542)(1489, 1543)(1490, 1547)(1491, 1548)(1493, 1551)(1494, 1552)(1495, 1554)(1498, 1557)(1499, 1501)(1502, 1562)(1503, 1563)(1506, 1566)(1508, 1512)(1509, 1571)(1510, 1573)(1513, 1577)(1514, 1578)(1516, 1581)(1518, 1582)(1519, 1586)(1520, 1587)(1523, 1590)(1524, 1544)(1527, 1592)(1528, 1596)(1529, 1597)(1532, 1599)(1533, 1603)(1536, 1540)(1537, 1607)(1538, 1609)(1541, 1612)(1545, 1617)(1546, 1618)(1549, 1621)(1550, 1624)(1553, 1627)(1555, 1628)(1556, 1632)(1558, 1635)(1559, 1637)(1560, 1638)(1561, 1640)(1564, 1643)(1565, 1567)(1568, 1647)(1569, 1649)(1570, 1650)(1572, 1653)(1574, 1654)(1575, 1658)(1576, 1659)(1579, 1662)(1580, 1593)(1583, 1664)(1584, 1668)(1585, 1669)(1588, 1671)(1589, 1675)(1591, 1678)(1594, 1682)(1595, 1683)(1598, 1686)(1600, 1604)(1601, 1691)(1602, 1693)(1605, 1697)(1606, 1698)(1608, 1701)(1610, 1702)(1611, 1706)(1613, 1707)(1614, 1711)(1615, 1712)(1616, 1714)(1619, 1717)(1620, 1622)(1623, 1721)(1625, 1722)(1626, 1726)(1629, 1633)(1630, 1730)(1631, 1732)(1634, 1735)(1636, 1737)(1639, 1740)(1641, 1741)(1642, 1745)(1644, 1748)(1645, 1750)(1646, 1751)(1648, 1973)(1651, 1976)(1652, 1665)(1655, 1979)(1656, 1854)(1657, 1984)(1660, 1986)(1661, 1989)(1663, 1994)(1666, 1998)(1667, 2000)(1670, 2003)(1672, 1676)(1673, 2008)(1674, 2011)(1677, 2014)(1679, 2017)(1680, 2019)(1681, 2021)(1684, 2024)(1685, 1687)(1688, 2029)(1689, 2032)(1690, 2034)(1692, 2036)(1694, 2038)(1695, 1974)(1696, 2042)(1699, 2045)(1700, 1708)(1703, 2048)(1704, 1890)(1705, 2052)(1709, 2055)(1710, 2056)(1713, 1928)(1715, 2059)(1716, 2062)(1718, 2067)(1719, 2069)(1720, 2071)(1723, 1727)(1724, 2076)(1725, 2079)(1728, 2083)(1729, 2085)(1731, 2086)(1733, 2088)(1734, 2091)(1736, 2093)(1738, 2096)(1739, 2100)(1742, 1746)(1743, 1885)(1744, 2108)(1747, 2111)(1749, 2113)(1752, 2116)(1753, 2118)(1754, 2121)(1755, 2123)(1756, 2125)(1757, 2127)(1758, 2130)(1759, 2133)(1760, 2136)(1761, 2138)(1762, 2141)(1763, 2144)(1764, 2147)(1765, 2150)(1766, 2153)(1767, 2156)(1768, 2159)(1769, 2162)(1770, 2051)(1771, 2168)(1772, 2171)(1773, 2174)(1774, 2177)(1775, 2178)(1776, 2181)(1777, 2184)(1778, 2187)(1779, 2189)(1780, 2192)(1781, 2194)(1782, 2196)(1783, 2198)(1784, 2202)(1785, 2204)(1786, 1927)(1787, 2208)(1788, 2210)(1789, 2193)(1790, 2215)(1791, 2218)(1792, 2219)(1793, 2221)(1794, 2224)(1795, 2182)(1796, 2226)(1797, 2180)(1798, 2231)(1799, 1982)(1800, 2235)(1801, 2001)(1802, 2095)(1803, 2242)(1804, 2172)(1805, 2170)(1806, 2246)(1807, 2102)(1808, 2250)(1809, 1889)(1810, 2243)(1811, 2256)(1812, 2203)(1813, 2259)(1814, 2261)(1815, 2201)(1816, 2265)(1817, 2105)(1818, 2268)(1819, 2258)(1820, 2272)(1821, 1948)(1822, 2092)(1823, 2275)(1824, 2277)(1825, 2160)(1826, 2279)(1827, 2158)(1828, 2284)(1829, 2285)(1830, 2289)(1831, 2216)(1832, 2106)(1833, 2292)(1834, 2151)(1835, 2149)(1836, 2230)(1837, 1861)(1838, 2041)(1839, 2300)(1840, 1962)(1841, 2305)(1842, 2217)(1843, 2097)(1844, 1903)(1845, 1946)(1846, 2311)(1847, 2312)(1848, 2135)(1849, 2316)(1850, 2175)(1851, 1963)(1852, 2318)(1853, 2214)(1855, 2257)(1856, 2308)(1857, 2290)(1858, 1983)(1859, 2317)(1860, 2283)(1862, 1921)(1863, 2332)(1864, 2009)(1865, 2139)(1866, 2334)(1867, 2137)(1868, 2339)(1869, 2340)(1870, 2344)(1871, 2347)(1872, 2176)(1873, 1896)(1874, 1957)(1875, 1937)(1876, 1949)(1877, 2356)(1878, 2358)(1879, 2124)(1880, 2363)(1881, 2197)(1882, 1897)(1883, 2366)(1884, 2173)(1886, 2349)(1887, 2364)(1888, 2288)(1891, 2376)(1892, 2007)(1893, 2379)(1894, 2232)(1895, 2338)(1898, 2386)(1899, 2387)(1900, 2389)(1901, 2143)(1902, 2074)(1904, 2395)(1905, 2255)(1906, 2301)(1907, 2271)(1908, 2321)(1909, 1940)(1910, 2128)(1911, 2402)(1912, 2126)(1913, 2407)(1914, 1991)(1915, 2005)(1916, 2018)(1917, 2410)(1918, 2120)(1919, 2414)(1920, 2227)(1922, 2081)(1923, 2195)(1924, 2294)(1925, 2415)(1926, 2315)(1929, 2425)(1930, 2333)(1931, 2325)(1932, 2266)(1933, 2431)(1934, 2433)(1935, 2165)(1936, 1938)(1939, 1958)(1941, 2442)(1942, 2443)(1943, 1997)(1944, 2447)(1945, 2185)(1947, 2448)(1950, 2148)(1951, 2455)(1952, 2146)(1953, 2459)(1954, 2360)(1955, 2462)(1956, 2233)(1959, 2467)(1960, 2207)(1961, 2406)(1964, 2471)(1965, 2473)(1966, 2474)(1967, 2299)(1968, 2262)(1969, 2063)(1970, 2396)(1971, 2077)(1972, 2122)(1975, 2225)(1977, 2487)(1978, 2244)(1980, 2475)(1981, 2362)(1985, 2495)(1987, 2341)(1988, 2500)(1990, 2327)(1992, 2302)(1993, 2142)(1995, 2507)(1996, 2508)(1999, 2040)(2002, 2082)(2004, 2006)(2010, 2211)(2012, 2449)(2013, 2114)(2015, 2476)(2016, 2186)(2020, 2169)(2022, 2528)(2023, 2167)(2025, 2532)(2026, 2043)(2027, 2064)(2028, 2535)(2030, 2070)(2031, 2330)(2033, 2541)(2035, 2099)(2037, 2547)(2039, 2280)(2044, 2183)(2046, 2554)(2047, 2313)(2049, 2549)(2050, 2385)(2053, 2561)(2054, 2562)(2057, 2563)(2058, 2331)(2060, 2319)(2061, 2567)(2065, 2426)(2066, 2101)(2068, 2234)(2072, 2131)(2073, 2129)(2075, 2098)(2078, 2293)(2080, 2582)(2084, 2587)(2087, 2424)(2089, 2220)(2090, 2161)(2094, 2591)(2103, 2253)(2104, 2413)(2107, 2222)(2109, 2607)(2110, 2608)(2112, 2611)(2115, 2260)(2117, 2612)(2119, 2213)(2132, 2450)(2134, 2421)(2140, 2365)(2145, 2521)(2152, 2291)(2154, 2245)(2155, 2593)(2157, 2373)(2163, 2486)(2164, 2355)(2166, 2556)(2179, 2452)(2188, 2278)(2190, 2538)(2191, 2238)(2199, 2393)(2200, 2647)(2205, 2596)(2206, 2441)(2209, 2276)(2212, 2650)(2223, 2274)(2228, 2437)(2229, 2408)(2236, 2499)(2237, 2663)(2239, 2375)(2240, 2594)(2241, 2247)(2248, 2566)(2249, 2252)(2251, 2505)(2254, 2667)(2263, 2382)(2264, 2342)(2267, 2357)(2269, 2631)(2270, 2653)(2273, 2671)(2281, 2435)(2282, 2460)(2286, 2637)(2287, 2297)(2295, 2417)(2296, 2430)(2298, 2584)(2303, 2626)(2304, 2403)(2306, 2620)(2307, 2515)(2309, 2573)(2310, 2666)(2314, 2533)(2320, 2371)(2322, 2343)(2323, 2638)(2324, 2657)(2326, 2642)(2328, 2400)(2329, 2597)(2335, 2346)(2336, 2391)(2337, 2555)(2345, 2643)(2348, 2601)(2350, 2368)(2351, 2485)(2352, 2559)(2353, 2680)(2354, 2655)(2359, 2509)(2361, 2457)(2367, 2388)(2369, 2419)(2370, 2586)(2372, 2652)(2374, 2453)(2377, 2553)(2378, 2456)(2380, 2622)(2381, 2492)(2383, 2480)(2384, 2539)(2390, 2615)(2392, 2629)(2394, 2423)(2397, 2409)(2398, 2628)(2399, 2598)(2401, 2583)(2404, 2445)(2405, 2645)(2411, 2542)(2412, 2529)(2416, 2432)(2418, 2488)(2420, 2497)(2422, 2604)(2427, 2461)(2428, 2635)(2429, 2605)(2434, 2616)(2436, 2641)(2438, 2681)(2439, 2676)(2440, 2575)(2444, 2617)(2446, 2548)(2451, 2646)(2454, 2501)(2458, 2651)(2463, 2633)(2464, 2625)(2465, 2684)(2466, 2551)(2468, 2619)(2469, 2491)(2470, 2504)(2472, 2478)(2477, 2512)(2479, 2674)(2481, 2580)(2482, 2514)(2483, 2659)(2484, 2614)(2489, 2665)(2490, 2668)(2493, 2569)(2494, 2496)(2498, 2531)(2502, 2534)(2503, 2560)(2506, 2623)(2510, 2599)(2511, 2550)(2513, 2618)(2516, 2552)(2517, 2606)(2518, 2679)(2519, 2649)(2520, 2592)(2522, 2585)(2523, 2664)(2524, 2570)(2525, 2571)(2526, 2536)(2527, 2590)(2530, 2660)(2537, 2576)(2540, 2609)(2543, 2672)(2544, 2658)(2545, 2565)(2546, 2564)(2557, 2613)(2558, 2687)(2568, 2595)(2572, 2675)(2574, 2602)(2577, 2581)(2578, 2669)(2579, 2624)(2588, 2627)(2589, 2678)(2600, 2686)(2603, 2630)(2610, 2640)(2621, 2670)(2632, 2662)(2634, 2639)(2636, 2654)(2644, 2648)(2656, 2682)(2661, 2677)(2673, 2683)(2685, 2688)
	L = (1, 1345)(2, 1346)(3, 1347)(4, 1348)(5, 1349)(6, 1350)(7, 1351)(8, 1352)(9, 1353)(10, 1354)(11, 1355)(12, 1356)(13, 1357)(14, 1358)(15, 1359)(16, 1360)(17, 1361)(18, 1362)(19, 1363)(20, 1364)(21, 1365)(22, 1366)(23, 1367)(24, 1368)(25, 1369)(26, 1370)(27, 1371)(28, 1372)(29, 1373)(30, 1374)(31, 1375)(32, 1376)(33, 1377)(34, 1378)(35, 1379)(36, 1380)(37, 1381)(38, 1382)(39, 1383)(40, 1384)(41, 1385)(42, 1386)(43, 1387)(44, 1388)(45, 1389)(46, 1390)(47, 1391)(48, 1392)(49, 1393)(50, 1394)(51, 1395)(52, 1396)(53, 1397)(54, 1398)(55, 1399)(56, 1400)(57, 1401)(58, 1402)(59, 1403)(60, 1404)(61, 1405)(62, 1406)(63, 1407)(64, 1408)(65, 1409)(66, 1410)(67, 1411)(68, 1412)(69, 1413)(70, 1414)(71, 1415)(72, 1416)(73, 1417)(74, 1418)(75, 1419)(76, 1420)(77, 1421)(78, 1422)(79, 1423)(80, 1424)(81, 1425)(82, 1426)(83, 1427)(84, 1428)(85, 1429)(86, 1430)(87, 1431)(88, 1432)(89, 1433)(90, 1434)(91, 1435)(92, 1436)(93, 1437)(94, 1438)(95, 1439)(96, 1440)(97, 1441)(98, 1442)(99, 1443)(100, 1444)(101, 1445)(102, 1446)(103, 1447)(104, 1448)(105, 1449)(106, 1450)(107, 1451)(108, 1452)(109, 1453)(110, 1454)(111, 1455)(112, 1456)(113, 1457)(114, 1458)(115, 1459)(116, 1460)(117, 1461)(118, 1462)(119, 1463)(120, 1464)(121, 1465)(122, 1466)(123, 1467)(124, 1468)(125, 1469)(126, 1470)(127, 1471)(128, 1472)(129, 1473)(130, 1474)(131, 1475)(132, 1476)(133, 1477)(134, 1478)(135, 1479)(136, 1480)(137, 1481)(138, 1482)(139, 1483)(140, 1484)(141, 1485)(142, 1486)(143, 1487)(144, 1488)(145, 1489)(146, 1490)(147, 1491)(148, 1492)(149, 1493)(150, 1494)(151, 1495)(152, 1496)(153, 1497)(154, 1498)(155, 1499)(156, 1500)(157, 1501)(158, 1502)(159, 1503)(160, 1504)(161, 1505)(162, 1506)(163, 1507)(164, 1508)(165, 1509)(166, 1510)(167, 1511)(168, 1512)(169, 1513)(170, 1514)(171, 1515)(172, 1516)(173, 1517)(174, 1518)(175, 1519)(176, 1520)(177, 1521)(178, 1522)(179, 1523)(180, 1524)(181, 1525)(182, 1526)(183, 1527)(184, 1528)(185, 1529)(186, 1530)(187, 1531)(188, 1532)(189, 1533)(190, 1534)(191, 1535)(192, 1536)(193, 1537)(194, 1538)(195, 1539)(196, 1540)(197, 1541)(198, 1542)(199, 1543)(200, 1544)(201, 1545)(202, 1546)(203, 1547)(204, 1548)(205, 1549)(206, 1550)(207, 1551)(208, 1552)(209, 1553)(210, 1554)(211, 1555)(212, 1556)(213, 1557)(214, 1558)(215, 1559)(216, 1560)(217, 1561)(218, 1562)(219, 1563)(220, 1564)(221, 1565)(222, 1566)(223, 1567)(224, 1568)(225, 1569)(226, 1570)(227, 1571)(228, 1572)(229, 1573)(230, 1574)(231, 1575)(232, 1576)(233, 1577)(234, 1578)(235, 1579)(236, 1580)(237, 1581)(238, 1582)(239, 1583)(240, 1584)(241, 1585)(242, 1586)(243, 1587)(244, 1588)(245, 1589)(246, 1590)(247, 1591)(248, 1592)(249, 1593)(250, 1594)(251, 1595)(252, 1596)(253, 1597)(254, 1598)(255, 1599)(256, 1600)(257, 1601)(258, 1602)(259, 1603)(260, 1604)(261, 1605)(262, 1606)(263, 1607)(264, 1608)(265, 1609)(266, 1610)(267, 1611)(268, 1612)(269, 1613)(270, 1614)(271, 1615)(272, 1616)(273, 1617)(274, 1618)(275, 1619)(276, 1620)(277, 1621)(278, 1622)(279, 1623)(280, 1624)(281, 1625)(282, 1626)(283, 1627)(284, 1628)(285, 1629)(286, 1630)(287, 1631)(288, 1632)(289, 1633)(290, 1634)(291, 1635)(292, 1636)(293, 1637)(294, 1638)(295, 1639)(296, 1640)(297, 1641)(298, 1642)(299, 1643)(300, 1644)(301, 1645)(302, 1646)(303, 1647)(304, 1648)(305, 1649)(306, 1650)(307, 1651)(308, 1652)(309, 1653)(310, 1654)(311, 1655)(312, 1656)(313, 1657)(314, 1658)(315, 1659)(316, 1660)(317, 1661)(318, 1662)(319, 1663)(320, 1664)(321, 1665)(322, 1666)(323, 1667)(324, 1668)(325, 1669)(326, 1670)(327, 1671)(328, 1672)(329, 1673)(330, 1674)(331, 1675)(332, 1676)(333, 1677)(334, 1678)(335, 1679)(336, 1680)(337, 1681)(338, 1682)(339, 1683)(340, 1684)(341, 1685)(342, 1686)(343, 1687)(344, 1688)(345, 1689)(346, 1690)(347, 1691)(348, 1692)(349, 1693)(350, 1694)(351, 1695)(352, 1696)(353, 1697)(354, 1698)(355, 1699)(356, 1700)(357, 1701)(358, 1702)(359, 1703)(360, 1704)(361, 1705)(362, 1706)(363, 1707)(364, 1708)(365, 1709)(366, 1710)(367, 1711)(368, 1712)(369, 1713)(370, 1714)(371, 1715)(372, 1716)(373, 1717)(374, 1718)(375, 1719)(376, 1720)(377, 1721)(378, 1722)(379, 1723)(380, 1724)(381, 1725)(382, 1726)(383, 1727)(384, 1728)(385, 1729)(386, 1730)(387, 1731)(388, 1732)(389, 1733)(390, 1734)(391, 1735)(392, 1736)(393, 1737)(394, 1738)(395, 1739)(396, 1740)(397, 1741)(398, 1742)(399, 1743)(400, 1744)(401, 1745)(402, 1746)(403, 1747)(404, 1748)(405, 1749)(406, 1750)(407, 1751)(408, 1752)(409, 1753)(410, 1754)(411, 1755)(412, 1756)(413, 1757)(414, 1758)(415, 1759)(416, 1760)(417, 1761)(418, 1762)(419, 1763)(420, 1764)(421, 1765)(422, 1766)(423, 1767)(424, 1768)(425, 1769)(426, 1770)(427, 1771)(428, 1772)(429, 1773)(430, 1774)(431, 1775)(432, 1776)(433, 1777)(434, 1778)(435, 1779)(436, 1780)(437, 1781)(438, 1782)(439, 1783)(440, 1784)(441, 1785)(442, 1786)(443, 1787)(444, 1788)(445, 1789)(446, 1790)(447, 1791)(448, 1792)(449, 1793)(450, 1794)(451, 1795)(452, 1796)(453, 1797)(454, 1798)(455, 1799)(456, 1800)(457, 1801)(458, 1802)(459, 1803)(460, 1804)(461, 1805)(462, 1806)(463, 1807)(464, 1808)(465, 1809)(466, 1810)(467, 1811)(468, 1812)(469, 1813)(470, 1814)(471, 1815)(472, 1816)(473, 1817)(474, 1818)(475, 1819)(476, 1820)(477, 1821)(478, 1822)(479, 1823)(480, 1824)(481, 1825)(482, 1826)(483, 1827)(484, 1828)(485, 1829)(486, 1830)(487, 1831)(488, 1832)(489, 1833)(490, 1834)(491, 1835)(492, 1836)(493, 1837)(494, 1838)(495, 1839)(496, 1840)(497, 1841)(498, 1842)(499, 1843)(500, 1844)(501, 1845)(502, 1846)(503, 1847)(504, 1848)(505, 1849)(506, 1850)(507, 1851)(508, 1852)(509, 1853)(510, 1854)(511, 1855)(512, 1856)(513, 1857)(514, 1858)(515, 1859)(516, 1860)(517, 1861)(518, 1862)(519, 1863)(520, 1864)(521, 1865)(522, 1866)(523, 1867)(524, 1868)(525, 1869)(526, 1870)(527, 1871)(528, 1872)(529, 1873)(530, 1874)(531, 1875)(532, 1876)(533, 1877)(534, 1878)(535, 1879)(536, 1880)(537, 1881)(538, 1882)(539, 1883)(540, 1884)(541, 1885)(542, 1886)(543, 1887)(544, 1888)(545, 1889)(546, 1890)(547, 1891)(548, 1892)(549, 1893)(550, 1894)(551, 1895)(552, 1896)(553, 1897)(554, 1898)(555, 1899)(556, 1900)(557, 1901)(558, 1902)(559, 1903)(560, 1904)(561, 1905)(562, 1906)(563, 1907)(564, 1908)(565, 1909)(566, 1910)(567, 1911)(568, 1912)(569, 1913)(570, 1914)(571, 1915)(572, 1916)(573, 1917)(574, 1918)(575, 1919)(576, 1920)(577, 1921)(578, 1922)(579, 1923)(580, 1924)(581, 1925)(582, 1926)(583, 1927)(584, 1928)(585, 1929)(586, 1930)(587, 1931)(588, 1932)(589, 1933)(590, 1934)(591, 1935)(592, 1936)(593, 1937)(594, 1938)(595, 1939)(596, 1940)(597, 1941)(598, 1942)(599, 1943)(600, 1944)(601, 1945)(602, 1946)(603, 1947)(604, 1948)(605, 1949)(606, 1950)(607, 1951)(608, 1952)(609, 1953)(610, 1954)(611, 1955)(612, 1956)(613, 1957)(614, 1958)(615, 1959)(616, 1960)(617, 1961)(618, 1962)(619, 1963)(620, 1964)(621, 1965)(622, 1966)(623, 1967)(624, 1968)(625, 1969)(626, 1970)(627, 1971)(628, 1972)(629, 1973)(630, 1974)(631, 1975)(632, 1976)(633, 1977)(634, 1978)(635, 1979)(636, 1980)(637, 1981)(638, 1982)(639, 1983)(640, 1984)(641, 1985)(642, 1986)(643, 1987)(644, 1988)(645, 1989)(646, 1990)(647, 1991)(648, 1992)(649, 1993)(650, 1994)(651, 1995)(652, 1996)(653, 1997)(654, 1998)(655, 1999)(656, 2000)(657, 2001)(658, 2002)(659, 2003)(660, 2004)(661, 2005)(662, 2006)(663, 2007)(664, 2008)(665, 2009)(666, 2010)(667, 2011)(668, 2012)(669, 2013)(670, 2014)(671, 2015)(672, 2016)(673, 2017)(674, 2018)(675, 2019)(676, 2020)(677, 2021)(678, 2022)(679, 2023)(680, 2024)(681, 2025)(682, 2026)(683, 2027)(684, 2028)(685, 2029)(686, 2030)(687, 2031)(688, 2032)(689, 2033)(690, 2034)(691, 2035)(692, 2036)(693, 2037)(694, 2038)(695, 2039)(696, 2040)(697, 2041)(698, 2042)(699, 2043)(700, 2044)(701, 2045)(702, 2046)(703, 2047)(704, 2048)(705, 2049)(706, 2050)(707, 2051)(708, 2052)(709, 2053)(710, 2054)(711, 2055)(712, 2056)(713, 2057)(714, 2058)(715, 2059)(716, 2060)(717, 2061)(718, 2062)(719, 2063)(720, 2064)(721, 2065)(722, 2066)(723, 2067)(724, 2068)(725, 2069)(726, 2070)(727, 2071)(728, 2072)(729, 2073)(730, 2074)(731, 2075)(732, 2076)(733, 2077)(734, 2078)(735, 2079)(736, 2080)(737, 2081)(738, 2082)(739, 2083)(740, 2084)(741, 2085)(742, 2086)(743, 2087)(744, 2088)(745, 2089)(746, 2090)(747, 2091)(748, 2092)(749, 2093)(750, 2094)(751, 2095)(752, 2096)(753, 2097)(754, 2098)(755, 2099)(756, 2100)(757, 2101)(758, 2102)(759, 2103)(760, 2104)(761, 2105)(762, 2106)(763, 2107)(764, 2108)(765, 2109)(766, 2110)(767, 2111)(768, 2112)(769, 2113)(770, 2114)(771, 2115)(772, 2116)(773, 2117)(774, 2118)(775, 2119)(776, 2120)(777, 2121)(778, 2122)(779, 2123)(780, 2124)(781, 2125)(782, 2126)(783, 2127)(784, 2128)(785, 2129)(786, 2130)(787, 2131)(788, 2132)(789, 2133)(790, 2134)(791, 2135)(792, 2136)(793, 2137)(794, 2138)(795, 2139)(796, 2140)(797, 2141)(798, 2142)(799, 2143)(800, 2144)(801, 2145)(802, 2146)(803, 2147)(804, 2148)(805, 2149)(806, 2150)(807, 2151)(808, 2152)(809, 2153)(810, 2154)(811, 2155)(812, 2156)(813, 2157)(814, 2158)(815, 2159)(816, 2160)(817, 2161)(818, 2162)(819, 2163)(820, 2164)(821, 2165)(822, 2166)(823, 2167)(824, 2168)(825, 2169)(826, 2170)(827, 2171)(828, 2172)(829, 2173)(830, 2174)(831, 2175)(832, 2176)(833, 2177)(834, 2178)(835, 2179)(836, 2180)(837, 2181)(838, 2182)(839, 2183)(840, 2184)(841, 2185)(842, 2186)(843, 2187)(844, 2188)(845, 2189)(846, 2190)(847, 2191)(848, 2192)(849, 2193)(850, 2194)(851, 2195)(852, 2196)(853, 2197)(854, 2198)(855, 2199)(856, 2200)(857, 2201)(858, 2202)(859, 2203)(860, 2204)(861, 2205)(862, 2206)(863, 2207)(864, 2208)(865, 2209)(866, 2210)(867, 2211)(868, 2212)(869, 2213)(870, 2214)(871, 2215)(872, 2216)(873, 2217)(874, 2218)(875, 2219)(876, 2220)(877, 2221)(878, 2222)(879, 2223)(880, 2224)(881, 2225)(882, 2226)(883, 2227)(884, 2228)(885, 2229)(886, 2230)(887, 2231)(888, 2232)(889, 2233)(890, 2234)(891, 2235)(892, 2236)(893, 2237)(894, 2238)(895, 2239)(896, 2240)(897, 2241)(898, 2242)(899, 2243)(900, 2244)(901, 2245)(902, 2246)(903, 2247)(904, 2248)(905, 2249)(906, 2250)(907, 2251)(908, 2252)(909, 2253)(910, 2254)(911, 2255)(912, 2256)(913, 2257)(914, 2258)(915, 2259)(916, 2260)(917, 2261)(918, 2262)(919, 2263)(920, 2264)(921, 2265)(922, 2266)(923, 2267)(924, 2268)(925, 2269)(926, 2270)(927, 2271)(928, 2272)(929, 2273)(930, 2274)(931, 2275)(932, 2276)(933, 2277)(934, 2278)(935, 2279)(936, 2280)(937, 2281)(938, 2282)(939, 2283)(940, 2284)(941, 2285)(942, 2286)(943, 2287)(944, 2288)(945, 2289)(946, 2290)(947, 2291)(948, 2292)(949, 2293)(950, 2294)(951, 2295)(952, 2296)(953, 2297)(954, 2298)(955, 2299)(956, 2300)(957, 2301)(958, 2302)(959, 2303)(960, 2304)(961, 2305)(962, 2306)(963, 2307)(964, 2308)(965, 2309)(966, 2310)(967, 2311)(968, 2312)(969, 2313)(970, 2314)(971, 2315)(972, 2316)(973, 2317)(974, 2318)(975, 2319)(976, 2320)(977, 2321)(978, 2322)(979, 2323)(980, 2324)(981, 2325)(982, 2326)(983, 2327)(984, 2328)(985, 2329)(986, 2330)(987, 2331)(988, 2332)(989, 2333)(990, 2334)(991, 2335)(992, 2336)(993, 2337)(994, 2338)(995, 2339)(996, 2340)(997, 2341)(998, 2342)(999, 2343)(1000, 2344)(1001, 2345)(1002, 2346)(1003, 2347)(1004, 2348)(1005, 2349)(1006, 2350)(1007, 2351)(1008, 2352)(1009, 2353)(1010, 2354)(1011, 2355)(1012, 2356)(1013, 2357)(1014, 2358)(1015, 2359)(1016, 2360)(1017, 2361)(1018, 2362)(1019, 2363)(1020, 2364)(1021, 2365)(1022, 2366)(1023, 2367)(1024, 2368)(1025, 2369)(1026, 2370)(1027, 2371)(1028, 2372)(1029, 2373)(1030, 2374)(1031, 2375)(1032, 2376)(1033, 2377)(1034, 2378)(1035, 2379)(1036, 2380)(1037, 2381)(1038, 2382)(1039, 2383)(1040, 2384)(1041, 2385)(1042, 2386)(1043, 2387)(1044, 2388)(1045, 2389)(1046, 2390)(1047, 2391)(1048, 2392)(1049, 2393)(1050, 2394)(1051, 2395)(1052, 2396)(1053, 2397)(1054, 2398)(1055, 2399)(1056, 2400)(1057, 2401)(1058, 2402)(1059, 2403)(1060, 2404)(1061, 2405)(1062, 2406)(1063, 2407)(1064, 2408)(1065, 2409)(1066, 2410)(1067, 2411)(1068, 2412)(1069, 2413)(1070, 2414)(1071, 2415)(1072, 2416)(1073, 2417)(1074, 2418)(1075, 2419)(1076, 2420)(1077, 2421)(1078, 2422)(1079, 2423)(1080, 2424)(1081, 2425)(1082, 2426)(1083, 2427)(1084, 2428)(1085, 2429)(1086, 2430)(1087, 2431)(1088, 2432)(1089, 2433)(1090, 2434)(1091, 2435)(1092, 2436)(1093, 2437)(1094, 2438)(1095, 2439)(1096, 2440)(1097, 2441)(1098, 2442)(1099, 2443)(1100, 2444)(1101, 2445)(1102, 2446)(1103, 2447)(1104, 2448)(1105, 2449)(1106, 2450)(1107, 2451)(1108, 2452)(1109, 2453)(1110, 2454)(1111, 2455)(1112, 2456)(1113, 2457)(1114, 2458)(1115, 2459)(1116, 2460)(1117, 2461)(1118, 2462)(1119, 2463)(1120, 2464)(1121, 2465)(1122, 2466)(1123, 2467)(1124, 2468)(1125, 2469)(1126, 2470)(1127, 2471)(1128, 2472)(1129, 2473)(1130, 2474)(1131, 2475)(1132, 2476)(1133, 2477)(1134, 2478)(1135, 2479)(1136, 2480)(1137, 2481)(1138, 2482)(1139, 2483)(1140, 2484)(1141, 2485)(1142, 2486)(1143, 2487)(1144, 2488)(1145, 2489)(1146, 2490)(1147, 2491)(1148, 2492)(1149, 2493)(1150, 2494)(1151, 2495)(1152, 2496)(1153, 2497)(1154, 2498)(1155, 2499)(1156, 2500)(1157, 2501)(1158, 2502)(1159, 2503)(1160, 2504)(1161, 2505)(1162, 2506)(1163, 2507)(1164, 2508)(1165, 2509)(1166, 2510)(1167, 2511)(1168, 2512)(1169, 2513)(1170, 2514)(1171, 2515)(1172, 2516)(1173, 2517)(1174, 2518)(1175, 2519)(1176, 2520)(1177, 2521)(1178, 2522)(1179, 2523)(1180, 2524)(1181, 2525)(1182, 2526)(1183, 2527)(1184, 2528)(1185, 2529)(1186, 2530)(1187, 2531)(1188, 2532)(1189, 2533)(1190, 2534)(1191, 2535)(1192, 2536)(1193, 2537)(1194, 2538)(1195, 2539)(1196, 2540)(1197, 2541)(1198, 2542)(1199, 2543)(1200, 2544)(1201, 2545)(1202, 2546)(1203, 2547)(1204, 2548)(1205, 2549)(1206, 2550)(1207, 2551)(1208, 2552)(1209, 2553)(1210, 2554)(1211, 2555)(1212, 2556)(1213, 2557)(1214, 2558)(1215, 2559)(1216, 2560)(1217, 2561)(1218, 2562)(1219, 2563)(1220, 2564)(1221, 2565)(1222, 2566)(1223, 2567)(1224, 2568)(1225, 2569)(1226, 2570)(1227, 2571)(1228, 2572)(1229, 2573)(1230, 2574)(1231, 2575)(1232, 2576)(1233, 2577)(1234, 2578)(1235, 2579)(1236, 2580)(1237, 2581)(1238, 2582)(1239, 2583)(1240, 2584)(1241, 2585)(1242, 2586)(1243, 2587)(1244, 2588)(1245, 2589)(1246, 2590)(1247, 2591)(1248, 2592)(1249, 2593)(1250, 2594)(1251, 2595)(1252, 2596)(1253, 2597)(1254, 2598)(1255, 2599)(1256, 2600)(1257, 2601)(1258, 2602)(1259, 2603)(1260, 2604)(1261, 2605)(1262, 2606)(1263, 2607)(1264, 2608)(1265, 2609)(1266, 2610)(1267, 2611)(1268, 2612)(1269, 2613)(1270, 2614)(1271, 2615)(1272, 2616)(1273, 2617)(1274, 2618)(1275, 2619)(1276, 2620)(1277, 2621)(1278, 2622)(1279, 2623)(1280, 2624)(1281, 2625)(1282, 2626)(1283, 2627)(1284, 2628)(1285, 2629)(1286, 2630)(1287, 2631)(1288, 2632)(1289, 2633)(1290, 2634)(1291, 2635)(1292, 2636)(1293, 2637)(1294, 2638)(1295, 2639)(1296, 2640)(1297, 2641)(1298, 2642)(1299, 2643)(1300, 2644)(1301, 2645)(1302, 2646)(1303, 2647)(1304, 2648)(1305, 2649)(1306, 2650)(1307, 2651)(1308, 2652)(1309, 2653)(1310, 2654)(1311, 2655)(1312, 2656)(1313, 2657)(1314, 2658)(1315, 2659)(1316, 2660)(1317, 2661)(1318, 2662)(1319, 2663)(1320, 2664)(1321, 2665)(1322, 2666)(1323, 2667)(1324, 2668)(1325, 2669)(1326, 2670)(1327, 2671)(1328, 2672)(1329, 2673)(1330, 2674)(1331, 2675)(1332, 2676)(1333, 2677)(1334, 2678)(1335, 2679)(1336, 2680)(1337, 2681)(1338, 2682)(1339, 2683)(1340, 2684)(1341, 2685)(1342, 2686)(1343, 2687)(1344, 2688)
	local type(s) :: { ( 6, 6 ), ( 6^7 ) }
Outer automorphisms :: chiral
Dual of E17.2390
Transitivity :: ET+
Graph:: simple bipartite
	v = 864 e = 1344 f = 448
	degree seq :: [ 2^672, 7^192 ]

E17.2389 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 7})
Quotient :: loop
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X1^2, X2^3, (X2 * X1)^7, (X1 * X2^-1 * X1 * X2)^8, X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1, (X1 * X2 * X1 * X2^-1 * X1 * X2^-1 * X1 * X2 * X1 * X2 * X1 * X2^-1)^3 ]
Map:: polyhedral non-degenerate
	R = (1, 1345, 2, 1346)(3, 1347, 7, 1351)(4, 1348, 8, 1352)(5, 1349, 9, 1353)(6, 1350, 10, 1354)(11, 1355, 19, 1363)(12, 1356, 20, 1364)(13, 1357, 21, 1365)(14, 1358, 22, 1366)(15, 1359, 23, 1367)(16, 1360, 24, 1368)(17, 1361, 25, 1369)(18, 1362, 26, 1370)(27, 1371, 43, 1387)(28, 1372, 44, 1388)(29, 1373, 45, 1389)(30, 1374, 46, 1390)(31, 1375, 47, 1391)(32, 1376, 48, 1392)(33, 1377, 49, 1393)(34, 1378, 50, 1394)(35, 1379, 51, 1395)(36, 1380, 52, 1396)(37, 1381, 53, 1397)(38, 1382, 54, 1398)(39, 1383, 55, 1399)(40, 1384, 56, 1400)(41, 1385, 57, 1401)(42, 1386, 58, 1402)(59, 1403, 85, 1429)(60, 1404, 86, 1430)(61, 1405, 87, 1431)(62, 1406, 88, 1432)(63, 1407, 89, 1433)(64, 1408, 90, 1434)(65, 1409, 66, 1410)(67, 1411, 91, 1435)(68, 1412, 92, 1436)(69, 1413, 93, 1437)(70, 1414, 94, 1438)(71, 1415, 95, 1439)(72, 1416, 96, 1440)(73, 1417, 97, 1441)(74, 1418, 98, 1442)(75, 1419, 99, 1443)(76, 1420, 100, 1444)(77, 1421, 101, 1445)(78, 1422, 79, 1423)(80, 1424, 102, 1446)(81, 1425, 103, 1447)(82, 1426, 104, 1448)(83, 1427, 105, 1449)(84, 1428, 106, 1450)(107, 1451, 151, 1495)(108, 1452, 152, 1496)(109, 1453, 153, 1497)(110, 1454, 154, 1498)(111, 1455, 155, 1499)(112, 1456, 113, 1457)(114, 1458, 156, 1500)(115, 1459, 157, 1501)(116, 1460, 158, 1502)(117, 1461, 159, 1503)(118, 1462, 160, 1504)(119, 1463, 161, 1505)(120, 1464, 162, 1506)(121, 1465, 163, 1507)(122, 1466, 164, 1508)(123, 1467, 165, 1509)(124, 1468, 125, 1469)(126, 1470, 166, 1510)(127, 1471, 167, 1511)(128, 1472, 168, 1512)(129, 1473, 169, 1513)(130, 1474, 170, 1514)(131, 1475, 171, 1515)(132, 1476, 172, 1516)(133, 1477, 173, 1517)(134, 1478, 135, 1479)(136, 1480, 174, 1518)(137, 1481, 175, 1519)(138, 1482, 176, 1520)(139, 1483, 177, 1521)(140, 1484, 178, 1522)(141, 1485, 179, 1523)(142, 1486, 180, 1524)(143, 1487, 181, 1525)(144, 1488, 182, 1526)(145, 1489, 183, 1527)(146, 1490, 147, 1491)(148, 1492, 184, 1528)(149, 1493, 185, 1529)(150, 1494, 186, 1530)(187, 1531, 379, 1723)(188, 1532, 381, 1725)(189, 1533, 383, 1727)(190, 1534, 191, 1535)(192, 1536, 387, 1731)(193, 1537, 324, 1668)(194, 1538, 389, 1733)(195, 1539, 391, 1735)(196, 1540, 393, 1737)(197, 1541, 395, 1739)(198, 1542, 397, 1741)(199, 1543, 399, 1743)(200, 1544, 401, 1745)(201, 1545, 403, 1747)(202, 1546, 203, 1547)(204, 1548, 407, 1751)(205, 1549, 409, 1753)(206, 1550, 411, 1755)(207, 1551, 413, 1757)(208, 1552, 415, 1759)(209, 1553, 417, 1761)(210, 1554, 211, 1555)(212, 1556, 421, 1765)(213, 1557, 291, 1635)(214, 1558, 423, 1767)(215, 1559, 425, 1769)(216, 1560, 427, 1771)(217, 1561, 429, 1773)(218, 1562, 431, 1775)(219, 1563, 433, 1777)(220, 1564, 435, 1779)(221, 1565, 437, 1781)(222, 1566, 223, 1567)(224, 1568, 441, 1785)(225, 1569, 443, 1787)(226, 1570, 359, 1703)(227, 1571, 278, 1622)(228, 1572, 255, 1599)(229, 1573, 270, 1614)(230, 1574, 247, 1591)(231, 1575, 283, 1627)(232, 1576, 345, 1689)(233, 1577, 251, 1595)(234, 1578, 305, 1649)(235, 1579, 239, 1583)(236, 1580, 316, 1660)(237, 1581, 259, 1603)(238, 1582, 326, 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2213)(655, 1999, 806, 2150)(657, 2001, 1125, 2469)(658, 2002, 881, 2225)(659, 2003, 1130, 2474)(660, 2004, 1132, 2476)(662, 2006, 1084, 2428)(666, 2010, 1062, 2406)(667, 2011, 1052, 2396)(668, 2012, 1018, 2362)(670, 2014, 978, 2322)(671, 2015, 804, 2148)(672, 2016, 685, 2029)(674, 2018, 1134, 2478)(675, 2019, 1141, 2485)(678, 2022, 1144, 2488)(679, 2023, 744, 2088)(682, 2026, 973, 2317)(683, 2027, 1109, 2453)(684, 2028, 1149, 2493)(686, 2030, 1104, 2448)(687, 2031, 908, 2252)(691, 2035, 1068, 2412)(692, 2036, 1153, 2497)(693, 2037, 1040, 2384)(694, 2038, 1155, 2499)(697, 2041, 775, 2119)(700, 2044, 772, 2116)(701, 2045, 1074, 2418)(702, 2046, 803, 2147)(704, 2048, 1164, 2508)(706, 2050, 1078, 2422)(707, 2051, 1133, 2477)(709, 2053, 1090, 2434)(711, 2055, 730, 2074)(713, 2057, 1093, 2437)(714, 2058, 832, 2176)(715, 2059, 1098, 2442)(716, 2060, 862, 2206)(718, 2062, 1170, 2514)(720, 2064, 1034, 2378)(721, 2065, 1172, 2516)(723, 2067, 863, 2207)(724, 2068, 1119, 2463)(728, 2072, 1122, 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2688)(1335, 2679, 1342, 2686)(1337, 2681, 1341, 2685)
	L = (1, 1347)(2, 1349)(3, 1348)(4, 1345)(5, 1350)(6, 1346)(7, 1355)(8, 1357)(9, 1359)(10, 1361)(11, 1356)(12, 1351)(13, 1358)(14, 1352)(15, 1360)(16, 1353)(17, 1362)(18, 1354)(19, 1371)(20, 1373)(21, 1375)(22, 1377)(23, 1379)(24, 1381)(25, 1383)(26, 1385)(27, 1372)(28, 1363)(29, 1374)(30, 1364)(31, 1376)(32, 1365)(33, 1378)(34, 1366)(35, 1380)(36, 1367)(37, 1382)(38, 1368)(39, 1384)(40, 1369)(41, 1386)(42, 1370)(43, 1402)(44, 1404)(45, 1406)(46, 1408)(47, 1410)(48, 1412)(49, 1414)(50, 1416)(51, 1394)(52, 1417)(53, 1419)(54, 1421)(55, 1423)(56, 1425)(57, 1427)(58, 1403)(59, 1387)(60, 1405)(61, 1388)(62, 1407)(63, 1389)(64, 1409)(65, 1390)(66, 1411)(67, 1391)(68, 1413)(69, 1392)(70, 1415)(71, 1393)(72, 1395)(73, 1418)(74, 1396)(75, 1420)(76, 1397)(77, 1422)(78, 1398)(79, 1424)(80, 1399)(81, 1426)(82, 1400)(83, 1428)(84, 1401)(85, 1451)(86, 1453)(87, 1455)(88, 1457)(89, 1459)(90, 1461)(91, 1463)(92, 1465)(93, 1467)(94, 1469)(95, 1471)(96, 1473)(97, 1475)(98, 1477)(99, 1479)(100, 1481)(101, 1483)(102, 1485)(103, 1487)(104, 1489)(105, 1491)(106, 1493)(107, 1452)(108, 1429)(109, 1454)(110, 1430)(111, 1456)(112, 1431)(113, 1458)(114, 1432)(115, 1460)(116, 1433)(117, 1462)(118, 1434)(119, 1464)(120, 1435)(121, 1466)(122, 1436)(123, 1468)(124, 1437)(125, 1470)(126, 1438)(127, 1472)(128, 1439)(129, 1474)(130, 1440)(131, 1476)(132, 1441)(133, 1478)(134, 1442)(135, 1480)(136, 1443)(137, 1482)(138, 1444)(139, 1484)(140, 1445)(141, 1486)(142, 1446)(143, 1488)(144, 1447)(145, 1490)(146, 1448)(147, 1492)(148, 1449)(149, 1494)(150, 1450)(151, 1531)(152, 1533)(153, 1535)(154, 1537)(155, 1539)(156, 1541)(157, 1543)(158, 1545)(159, 1547)(160, 1549)(161, 1551)(162, 1553)(163, 1555)(164, 1557)(165, 1559)(166, 1561)(167, 1563)(168, 1565)(169, 1567)(170, 1569)(171, 1703)(172, 1576)(173, 1706)(174, 1646)(175, 1708)(176, 1709)(177, 1711)(178, 1609)(179, 1713)(180, 1644)(181, 1715)(182, 1571)(183, 1718)(184, 1605)(185, 1720)(186, 1721)(187, 1532)(188, 1495)(189, 1534)(190, 1496)(191, 1536)(192, 1497)(193, 1538)(194, 1498)(195, 1540)(196, 1499)(197, 1542)(198, 1500)(199, 1544)(200, 1501)(201, 1546)(202, 1502)(203, 1548)(204, 1503)(205, 1550)(206, 1504)(207, 1552)(208, 1505)(209, 1554)(210, 1506)(211, 1556)(212, 1507)(213, 1558)(214, 1508)(215, 1560)(216, 1509)(217, 1562)(218, 1510)(219, 1564)(220, 1511)(221, 1566)(222, 1512)(223, 1568)(224, 1513)(225, 1570)(226, 1514)(227, 1790)(228, 1791)(229, 1792)(230, 1793)(231, 1795)(232, 1797)(233, 1798)(234, 1800)(235, 1802)(236, 1804)(237, 1806)(238, 1734)(239, 1809)(240, 1811)(241, 1812)(242, 1813)(243, 1815)(244, 1817)(245, 1819)(246, 1768)(247, 1822)(248, 1824)(249, 1825)(250, 1678)(251, 1828)(252, 1830)(253, 1831)(254, 1833)(255, 1835)(256, 1776)(257, 1839)(258, 1657)(259, 1842)(260, 1845)(261, 1847)(262, 1848)(263, 1851)(264, 1853)(265, 1855)(266, 1857)(267, 1861)(268, 1864)(269, 1866)(270, 1868)(271, 1682)(272, 1872)(273, 1669)(274, 1875)(275, 1877)(276, 1878)(277, 1880)(278, 1882)(279, 1742)(280, 1886)(281, 1636)(282, 1889)(283, 1891)(284, 1661)(285, 1895)(286, 1690)(287, 1900)(288, 1902)(289, 1904)(290, 1906)(291, 1908)(292, 1888)(293, 1912)(294, 1623)(295, 1917)(296, 1921)(297, 1925)(298, 1929)(299, 1933)(300, 1936)(301, 1938)(302, 1941)(303, 1943)(304, 1947)(305, 1950)(306, 1628)(307, 1954)(308, 1756)(309, 1959)(310, 1961)(311, 1963)(312, 1965)(313, 1841)(314, 1969)(315, 1600)(316, 1973)(317, 1650)(318, 1977)(319, 1789)(320, 1982)(321, 1984)(322, 1986)(323, 1988)(324, 1990)(325, 1874)(326, 1994)(327, 1615)(328, 1998)(329, 2001)(330, 2004)(331, 2006)(332, 2008)(333, 2011)(334, 1827)(335, 2015)(336, 1592)(337, 2019)(338, 1671)(339, 2023)(340, 1729)(341, 2028)(342, 2030)(343, 2033)(344, 2036)(345, 2038)(346, 1899)(347, 2043)(348, 2046)(349, 2048)(350, 2051)(351, 2052)(352, 2055)(353, 1942)(354, 2060)(355, 2062)(356, 2065)(357, 2066)(358, 2070)(359, 2073)(360, 2076)(361, 2079)(362, 2081)(363, 2082)(364, 2085)(365, 2087)(366, 2088)(367, 2089)(368, 2093)(369, 2096)(370, 1924)(371, 2099)(372, 2102)(373, 2105)(374, 2107)(375, 2108)(376, 2111)(377, 1723)(378, 2114)(379, 1530)(380, 2117)(381, 1585)(382, 2120)(383, 2122)(384, 2124)(385, 2027)(386, 2126)(387, 1694)(388, 2130)(389, 2132)(390, 1808)(391, 2135)(392, 2067)(393, 1604)(394, 1596)(395, 2140)(396, 2142)(397, 1692)(398, 1638)(399, 2147)(400, 2150)(401, 1572)(402, 1763)(403, 2155)(404, 2157)(405, 2159)(406, 2162)(407, 1607)(408, 2166)(409, 2168)(410, 2170)(411, 2172)(412, 1958)(413, 1755)(414, 1710)(415, 1586)(416, 2179)(417, 2182)(418, 2183)(419, 2154)(420, 2186)(421, 1700)(422, 2014)(423, 2191)(424, 1821)(425, 2194)(426, 1944)(427, 1619)(428, 1584)(429, 2199)(430, 2201)(431, 1698)(432, 1659)(433, 2206)(434, 2209)(435, 1573)(436, 1675)(437, 2213)(438, 2215)(439, 2217)(440, 2220)(441, 1587)(442, 2223)(443, 2225)(444, 2227)(445, 1981)(446, 1526)(447, 1745)(448, 1779)(449, 1794)(450, 1574)(451, 1796)(452, 1575)(453, 1516)(454, 1799)(455, 1577)(456, 1801)(457, 1578)(458, 1803)(459, 1579)(460, 1805)(461, 1580)(462, 1807)(463, 1581)(464, 1582)(465, 1810)(466, 1583)(467, 1772)(468, 1725)(469, 1759)(470, 2259)(471, 1785)(472, 2262)(473, 1818)(474, 1588)(475, 1820)(476, 1589)(477, 1590)(478, 1823)(479, 1591)(480, 1680)(481, 1826)(482, 1593)(483, 1594)(484, 1829)(485, 1595)(486, 1738)(487, 1832)(488, 1597)(489, 1834)(490, 1598)(491, 1836)(492, 1599)(493, 2290)(494, 2292)(495, 1840)(496, 1601)(497, 1602)(498, 1843)(499, 1603)(500, 2301)(501, 1737)(502, 2303)(503, 1528)(504, 1849)(505, 1606)(506, 2308)(507, 1751)(508, 2311)(509, 1854)(510, 1608)(511, 1522)(512, 2315)(513, 1859)(514, 2317)(515, 1610)(516, 2307)(517, 1863)(518, 2321)(519, 1611)(520, 1865)(521, 1612)(522, 1867)(523, 1613)(524, 1869)(525, 1614)(526, 2097)(527, 2333)(528, 1873)(529, 1616)(530, 1617)(531, 1876)(532, 1618)(533, 1771)(534, 1879)(535, 1620)(536, 1881)(537, 1621)(538, 1883)(539, 1622)(540, 2350)(541, 2352)(542, 1887)(543, 1624)(544, 1625)(545, 1890)(546, 1626)(547, 1892)(548, 1627)(549, 2058)(550, 2363)(551, 1896)(552, 1629)(553, 2113)(554, 2367)(555, 1630)(556, 1901)(557, 1631)(558, 1903)(559, 1632)(560, 1905)(561, 1633)(562, 1907)(563, 1634)(564, 1909)(565, 1635)(566, 2383)(567, 2385)(568, 1913)(569, 1637)(570, 1926)(571, 2389)(572, 2086)(573, 1919)(574, 2392)(575, 1639)(576, 2313)(577, 1923)(578, 2395)(579, 1640)(580, 2098)(581, 1927)(582, 2388)(583, 1641)(584, 2264)(585, 1931)(586, 2401)(587, 1642)(588, 1744)(589, 1935)(590, 2403)(591, 1643)(592, 1524)(593, 2324)(594, 1940)(595, 2408)(596, 1645)(597, 1518)(598, 2059)(599, 1945)(600, 2196)(601, 1647)(602, 2178)(603, 1949)(604, 2414)(605, 1648)(606, 1951)(607, 1649)(608, 1934)(609, 2417)(610, 1955)(611, 1651)(612, 2420)(613, 2421)(614, 1652)(615, 1960)(616, 1653)(617, 1962)(618, 1654)(619, 1964)(620, 1655)(621, 1966)(622, 1656)(623, 2431)(624, 2433)(625, 1970)(626, 1658)(627, 1858)(628, 2436)(629, 1974)(630, 1660)(631, 2044)(632, 2441)(633, 1978)(634, 1662)(635, 2444)(636, 2446)(637, 1663)(638, 1983)(639, 1664)(640, 1985)(641, 1665)(642, 1987)(643, 1666)(644, 1989)(645, 1667)(646, 1991)(647, 1668)(648, 2460)(649, 2462)(650, 1995)(651, 1670)(652, 1918)(653, 2465)(654, 1999)(655, 1672)(656, 2468)(657, 2003)(658, 2471)(659, 1673)(660, 2005)(661, 1674)(662, 1780)(663, 2372)(664, 2010)(665, 2478)(666, 1676)(667, 2012)(668, 1677)(669, 2426)(670, 2190)(671, 2016)(672, 1679)(673, 1761)(674, 2482)(675, 2020)(676, 1681)(677, 2071)(678, 2489)(679, 2024)(680, 1683)(681, 2127)(682, 2161)(683, 1684)(684, 2029)(685, 1685)(686, 2031)(687, 1686)(688, 2326)(689, 2035)(690, 2129)(691, 1687)(692, 2037)(693, 1688)(694, 2039)(695, 1689)(696, 2502)(697, 2429)(698, 1778)(699, 2045)(700, 2440)(701, 1691)(702, 1741)(703, 2342)(704, 2050)(705, 2509)(706, 1693)(707, 1731)(708, 2053)(709, 1695)(710, 2000)(711, 2057)(712, 2510)(713, 1696)(714, 2362)(715, 1697)(716, 1775)(717, 2282)(718, 2064)(719, 2515)(720, 1699)(721, 1765)(722, 2068)(723, 2137)(724, 1701)(725, 2112)(726, 2072)(727, 2487)(728, 1702)(729, 1515)(730, 2294)(731, 2521)(732, 2077)(733, 1704)(734, 2376)(735, 2080)(736, 1705)(737, 1517)(738, 2083)(739, 1707)(740, 2522)(741, 1519)(742, 2203)(743, 1520)(744, 1758)(745, 1521)(746, 2258)(747, 2533)(748, 1956)(749, 2094)(750, 1712)(751, 2314)(752, 1523)(753, 2332)(754, 1714)(755, 1525)(756, 2238)(757, 2538)(758, 2103)(759, 1716)(760, 2266)(761, 2106)(762, 1717)(763, 1527)(764, 2109)(765, 1719)(766, 2539)(767, 1529)(768, 2518)(769, 2366)(770, 2115)(771, 1722)(772, 2547)(773, 2118)(774, 1724)(775, 2281)(776, 2121)(777, 1726)(778, 2123)(779, 1727)(780, 2125)(781, 1728)(782, 2128)(783, 2491)(784, 1730)(785, 2252)(786, 2131)(787, 1732)(788, 2133)(789, 1733)(790, 2451)(791, 2136)(792, 1735)(793, 1736)(794, 2185)(795, 2405)(796, 2141)(797, 1739)(798, 2143)(799, 1740)(800, 1856)(801, 1948)(802, 2566)(803, 2149)(804, 2570)(805, 1743)(806, 1932)(807, 2554)(808, 2187)(809, 2219)(810, 1746)(811, 2156)(812, 1747)(813, 2158)(814, 1748)(815, 2160)(816, 1749)(817, 2344)(818, 2164)(819, 2189)(820, 1750)(821, 2248)(822, 2167)(823, 1752)(824, 2169)(825, 1753)(826, 2171)(827, 1754)(828, 1757)(829, 2305)(830, 2500)(831, 2454)(832, 2584)(833, 2323)(834, 2412)(835, 2181)(836, 2587)(837, 1760)(838, 2017)(839, 2184)(840, 1762)(841, 2450)(842, 2188)(843, 2552)(844, 1764)(845, 2269)(846, 1766)(847, 2192)(848, 1767)(849, 2373)(850, 2195)(851, 1769)(852, 1770)(853, 2007)(854, 2506)(855, 2200)(856, 1773)(857, 2202)(858, 1774)(859, 1916)(860, 2056)(861, 2600)(862, 2208)(863, 2603)(864, 1777)(865, 2042)(866, 2590)(867, 2009)(868, 2032)(869, 2214)(870, 1781)(871, 2216)(872, 1782)(873, 2218)(874, 1783)(875, 2284)(876, 2221)(877, 1784)(878, 2265)(879, 2224)(880, 1786)(881, 2226)(882, 1787)(883, 2228)(884, 1788)(885, 2492)(886, 2572)(887, 2605)(888, 2555)(889, 2615)(890, 2536)(891, 2606)(892, 2617)(893, 2472)(894, 2537)(895, 2546)(896, 2619)(897, 2495)(898, 2621)(899, 2479)(900, 2623)(901, 2624)(902, 2575)(903, 2524)(904, 2517)(905, 2627)(906, 1816)(907, 2629)(908, 2034)(909, 2430)(910, 2632)(911, 2595)(912, 2594)(913, 2519)(914, 2413)(915, 2260)(916, 1814)(917, 2207)(918, 2250)(919, 2312)(920, 2399)(921, 2411)(922, 2541)(923, 1844)(924, 2637)(925, 2163)(926, 2456)(927, 2640)(928, 2481)(929, 2091)(930, 2641)(931, 1852)(932, 2643)(933, 2379)(934, 2646)(935, 2560)(936, 2559)(937, 2398)(938, 2513)(939, 2339)(940, 2153)(941, 2649)(942, 2532)(943, 2498)(944, 2652)(945, 2435)(946, 2291)(947, 1837)(948, 2293)(949, 1838)(950, 2520)(951, 2655)(952, 1862)(953, 2657)(954, 2345)(955, 2660)(956, 2591)(957, 2267)(958, 2561)(959, 2304)(960, 1846)(961, 2582)(962, 2263)(963, 2319)(964, 2309)(965, 1850)(966, 2148)(967, 2275)(968, 2306)(969, 2393)(970, 2483)(971, 2144)(972, 2663)(973, 1971)(974, 2177)(975, 1860)(976, 2391)(977, 2296)(978, 2239)(979, 2318)(980, 2406)(981, 2358)(982, 2212)(983, 2666)(984, 2668)(985, 2578)(986, 2669)(987, 2464)(988, 1870)(989, 2334)(990, 1871)(991, 2670)(992, 1922)(993, 2650)(994, 2285)(995, 2648)(996, 2531)(997, 2596)(998, 2507)(999, 2299)(1000, 2026)(1001, 2659)(1002, 2673)(1003, 2609)(1004, 2540)(1005, 2387)(1006, 2351)(1007, 1884)(1008, 2353)(1009, 1885)(1010, 2653)(1011, 1930)(1012, 2667)(1013, 2327)(1014, 2665)(1015, 2556)(1016, 2676)(1017, 2416)(1018, 1893)(1019, 2364)(1020, 1894)(1021, 2677)(1022, 1897)(1023, 2368)(1024, 1898)(1025, 1939)(1026, 2638)(1027, 2268)(1028, 2197)(1029, 2592)(1030, 2626)(1031, 2569)(1032, 2525)(1033, 2278)(1034, 1980)(1035, 2645)(1036, 2551)(1037, 2512)(1038, 2354)(1039, 2384)(1040, 1910)(1041, 2386)(1042, 1911)(1043, 2564)(1044, 1914)(1045, 2390)(1046, 1915)(1047, 2664)(1048, 1996)(1049, 1920)(1050, 2397)(1051, 2336)(1052, 2244)(1053, 2678)(1054, 2119)(1055, 1928)(1056, 2316)(1057, 2355)(1058, 2233)(1059, 1952)(1060, 2585)(1061, 2494)(1062, 1937)(1063, 2410)(1064, 2369)(1065, 2254)(1066, 2679)(1067, 2222)(1068, 1946)(1069, 2090)(1070, 2145)(1071, 2151)(1072, 2439)(1073, 2418)(1074, 1953)(1075, 2680)(1076, 2092)(1077, 2422)(1078, 1957)(1079, 2049)(1080, 2644)(1081, 2276)(1082, 2480)(1083, 2618)(1084, 2602)(1085, 2504)(1086, 2631)(1087, 2432)(1088, 1967)(1089, 2434)(1090, 1968)(1091, 2598)(1092, 2437)(1093, 1972)(1094, 2681)(1095, 2361)(1096, 1975)(1097, 2442)(1098, 1976)(1099, 2682)(1100, 2445)(1101, 1979)(1102, 2378)(1103, 2063)(1104, 2630)(1105, 2251)(1106, 2138)(1107, 2557)(1108, 2622)(1109, 2101)(1110, 2583)(1111, 2271)(1112, 2639)(1113, 2475)(1114, 2505)(1115, 2335)(1116, 2461)(1117, 1992)(1118, 2463)(1119, 1993)(1120, 2486)(1121, 2466)(1122, 1997)(1123, 2683)(1124, 2054)(1125, 2458)(1126, 2496)(1127, 2473)(1128, 2558)(1129, 2002)(1130, 2075)(1131, 2658)(1132, 2297)(1133, 2116)(1134, 2211)(1135, 2568)(1136, 2013)(1137, 2636)(1138, 2484)(1139, 2095)(1140, 2018)(1141, 2685)(1142, 2331)(1143, 2021)(1144, 2286)(1145, 2490)(1146, 2022)(1147, 2025)(1148, 2612)(1149, 2242)(1150, 2139)(1151, 2620)(1152, 2684)(1153, 2288)(1154, 2651)(1155, 2424)(1156, 2523)(1157, 2365)(1158, 2503)(1159, 2040)(1160, 2041)(1161, 2469)(1162, 2574)(1163, 2047)(1164, 2438)(1165, 2423)(1166, 2204)(1167, 2210)(1168, 2549)(1169, 2061)(1170, 2360)(1171, 2447)(1172, 2176)(1173, 2165)(1174, 2069)(1175, 2593)(1176, 2074)(1177, 2474)(1178, 2527)(1179, 2174)(1180, 2573)(1181, 2078)(1182, 2485)(1183, 2084)(1184, 2205)(1185, 2404)(1186, 2295)(1187, 2671)(1188, 2488)(1189, 2273)(1190, 2236)(1191, 2375)(1192, 2610)(1193, 2100)(1194, 2453)(1195, 2544)(1196, 2608)(1197, 2104)(1198, 2329)(1199, 2443)(1200, 2110)(1201, 2240)(1202, 2322)(1203, 2477)(1204, 2686)(1205, 2381)(1206, 2576)(1207, 2672)(1208, 2152)(1209, 2337)(1210, 2415)(1211, 2601)(1212, 2675)(1213, 2134)(1214, 2237)(1215, 2647)(1216, 2642)(1217, 2562)(1218, 2302)(1219, 2428)(1220, 2349)(1221, 2328)(1222, 2567)(1223, 2146)(1224, 2243)(1225, 2535)(1226, 2310)(1227, 2274)(1228, 2613)(1229, 2247)(1230, 2198)(1231, 2625)(1232, 2687)(1233, 2330)(1234, 2542)(1235, 2245)(1236, 2448)(1237, 2419)(1238, 2173)(1239, 2175)(1240, 2516)(1241, 2529)(1242, 2607)(1243, 2588)(1244, 2180)(1245, 2356)(1246, 2511)(1247, 2656)(1248, 2193)(1249, 2257)(1250, 2633)(1251, 2628)(1252, 2597)(1253, 2341)(1254, 2289)(1255, 2346)(1256, 2528)(1257, 2232)(1258, 2563)(1259, 2261)(1260, 2249)(1261, 2614)(1262, 2616)(1263, 2688)(1264, 2348)(1265, 2674)(1266, 2234)(1267, 2370)(1268, 2229)(1269, 2230)(1270, 2231)(1271, 2402)(1272, 2235)(1273, 2534)(1274, 2654)(1275, 2545)(1276, 2241)(1277, 2493)(1278, 2634)(1279, 2396)(1280, 2579)(1281, 2246)(1282, 2661)(1283, 2604)(1284, 2255)(1285, 2449)(1286, 2580)(1287, 2253)(1288, 2409)(1289, 2256)(1290, 2452)(1291, 2467)(1292, 2272)(1293, 2371)(1294, 2611)(1295, 2270)(1296, 2455)(1297, 2571)(1298, 2279)(1299, 2425)(1300, 2499)(1301, 2277)(1302, 2377)(1303, 2280)(1304, 2283)(1305, 2338)(1306, 2553)(1307, 2287)(1308, 2497)(1309, 2382)(1310, 2427)(1311, 2530)(1312, 2300)(1313, 2476)(1314, 2457)(1315, 2298)(1316, 2343)(1317, 2374)(1318, 2548)(1319, 2400)(1320, 2320)(1321, 2325)(1322, 2357)(1323, 2589)(1324, 2565)(1325, 2577)(1326, 2459)(1327, 2340)(1328, 2380)(1329, 2599)(1330, 2347)(1331, 2359)(1332, 2514)(1333, 2501)(1334, 2394)(1335, 2407)(1336, 2581)(1337, 2508)(1338, 2543)(1339, 2635)(1340, 2470)(1341, 2526)(1342, 2662)(1343, 2550)(1344, 2586)
	local type(s) :: { ( 3, 7, 3, 7 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph:: simple
	v = 672 e = 1344 f = 640
	degree seq :: [ 4^672 ]

E17.2390 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 7})
Quotient :: loop
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X1^3, (X1^-1 * X2^-1)^2, X2^7, X2^2 * X1^-1 * X2^-2 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-1 * X1^-1 * X2^-2 * X1^-1 * X2^2 * X1^-1, (X2^-2 * X1)^8, X1 * X2^-2 * X1^-1 * X2^2 * X1^-1 * X2^3 * X1 * X2^-1 * X1 * X2^2 * X1^-1 * X2^3 * X1^-1 * X2^2 * X1^-1 * X2^-3, X2^-1 * X1^-1 * X2^2 * X1 * X2^-1 * X1 * X2^-2 * X1 * X2^3 * X1 * X2^-1 * X1 * X2^-3 * X1^-1 * X2^2 * X1^-1 * X2 * X1^-1 * X2^-2 ]
Map::
	R = (1, 1345, 2, 1346, 4, 1348)(3, 1347, 8, 1352, 10, 1354)(5, 1349, 12, 1356, 6, 1350)(7, 1351, 15, 1359, 11, 1355)(9, 1353, 18, 1362, 20, 1364)(13, 1357, 25, 1369, 23, 1367)(14, 1358, 24, 1368, 28, 1372)(16, 1360, 31, 1375, 29, 1373)(17, 1361, 33, 1377, 21, 1365)(19, 1363, 36, 1380, 37, 1381)(22, 1366, 30, 1374, 41, 1385)(26, 1370, 46, 1390, 44, 1388)(27, 1371, 47, 1391, 48, 1392)(32, 1376, 54, 1398, 52, 1396)(34, 1378, 57, 1401, 55, 1399)(35, 1379, 58, 1402, 38, 1382)(39, 1383, 56, 1400, 64, 1408)(40, 1384, 65, 1409, 66, 1410)(42, 1386, 45, 1389, 69, 1413)(43, 1387, 70, 1414, 49, 1393)(50, 1394, 53, 1397, 79, 1423)(51, 1395, 80, 1424, 67, 1411)(59, 1403, 90, 1434, 88, 1432)(60, 1404, 91, 1435, 61, 1405)(62, 1406, 89, 1433, 95, 1439)(63, 1407, 96, 1440, 97, 1441)(68, 1412, 102, 1446, 103, 1447)(71, 1415, 107, 1451, 105, 1449)(72, 1416, 74, 1418, 109, 1453)(73, 1417, 110, 1454, 104, 1448)(75, 1419, 113, 1457, 76, 1420)(77, 1421, 106, 1450, 117, 1461)(78, 1422, 118, 1462, 119, 1463)(81, 1425, 123, 1467, 121, 1465)(82, 1426, 84, 1428, 125, 1469)(83, 1427, 126, 1470, 120, 1464)(85, 1429, 87, 1431, 130, 1474)(86, 1430, 131, 1475, 98, 1442)(92, 1436, 139, 1483, 137, 1481)(93, 1437, 138, 1482, 141, 1485)(94, 1438, 142, 1486, 143, 1487)(99, 1443, 148, 1492, 100, 1444)(101, 1445, 122, 1466, 152, 1496)(108, 1452, 159, 1503, 160, 1504)(111, 1455, 164, 1508, 162, 1506)(112, 1456, 165, 1509, 161, 1505)(114, 1458, 168, 1512, 166, 1510)(115, 1459, 167, 1511, 170, 1514)(116, 1460, 171, 1515, 172, 1516)(124, 1468, 180, 1524, 181, 1525)(127, 1471, 185, 1529, 183, 1527)(128, 1472, 186, 1530, 182, 1526)(129, 1473, 187, 1531, 188, 1532)(132, 1476, 192, 1536, 190, 1534)(133, 1477, 193, 1537, 189, 1533)(134, 1478, 136, 1480, 196, 1540)(135, 1479, 197, 1541, 144, 1488)(140, 1484, 203, 1547, 204, 1548)(145, 1489, 209, 1553, 146, 1490)(147, 1491, 191, 1535, 213, 1557)(149, 1493, 216, 1560, 214, 1558)(150, 1494, 215, 1559, 217, 1561)(151, 1495, 218, 1562, 219, 1563)(153, 1497, 221, 1565, 154, 1498)(155, 1499, 163, 1507, 225, 1569)(156, 1500, 158, 1502, 227, 1571)(157, 1501, 228, 1572, 173, 1517)(169, 1513, 241, 1585, 242, 1586)(174, 1518, 247, 1591, 175, 1519)(176, 1520, 184, 1528, 251, 1595)(177, 1521, 179, 1523, 253, 1597)(178, 1522, 254, 1598, 220, 1564)(194, 1538, 272, 1616, 270, 1614)(195, 1539, 273, 1617, 274, 1618)(198, 1542, 278, 1622, 276, 1620)(199, 1543, 279, 1623, 275, 1619)(200, 1544, 202, 1546, 282, 1626)(201, 1545, 283, 1627, 205, 1549)(206, 1550, 289, 1633, 207, 1551)(208, 1552, 277, 1621, 293, 1637)(210, 1554, 296, 1640, 294, 1638)(211, 1555, 295, 1639, 297, 1641)(212, 1556, 298, 1642, 299, 1643)(222, 1566, 310, 1654, 308, 1652)(223, 1567, 309, 1653, 312, 1656)(224, 1568, 313, 1657, 314, 1658)(226, 1570, 316, 1660, 317, 1661)(229, 1573, 321, 1665, 319, 1663)(230, 1574, 322, 1666, 318, 1662)(231, 1575, 323, 1667, 232, 1576)(233, 1577, 237, 1581, 327, 1671)(234, 1578, 236, 1580, 329, 1673)(235, 1579, 330, 1674, 315, 1659)(238, 1582, 240, 1584, 335, 1679)(239, 1583, 336, 1680, 243, 1587)(244, 1588, 342, 1686, 245, 1589)(246, 1590, 320, 1664, 346, 1690)(248, 1592, 349, 1693, 347, 1691)(249, 1593, 348, 1692, 351, 1695)(250, 1594, 352, 1696, 353, 1697)(252, 1596, 355, 1699, 356, 1700)(255, 1599, 360, 1704, 358, 1702)(256, 1600, 361, 1705, 357, 1701)(257, 1601, 362, 1706, 258, 1602)(259, 1603, 263, 1607, 366, 1710)(260, 1604, 262, 1606, 368, 1712)(261, 1605, 369, 1713, 354, 1698)(264, 1608, 373, 1717, 265, 1609)(266, 1610, 271, 1615, 377, 1721)(267, 1611, 269, 1613, 379, 1723)(268, 1612, 380, 1724, 300, 1644)(280, 1624, 394, 1738, 392, 1736)(281, 1625, 395, 1739, 396, 1740)(284, 1628, 400, 1744, 398, 1742)(285, 1629, 401, 1745, 397, 1741)(286, 1630, 403, 1747, 287, 1631)(288, 1632, 399, 1743, 407, 1751)(290, 1634, 410, 1754, 408, 1752)(291, 1635, 409, 1753, 411, 1755)(292, 1636, 412, 1756, 413, 1757)(301, 1645, 303, 1647, 423, 1767)(302, 1646, 424, 1768, 304, 1648)(305, 1649, 428, 1772, 306, 1650)(307, 1651, 359, 1703, 432, 1776)(311, 1655, 436, 1780, 437, 1781)(324, 1668, 451, 1795, 449, 1793)(325, 1669, 450, 1794, 453, 1797)(326, 1670, 454, 1798, 455, 1799)(328, 1672, 457, 1801, 458, 1802)(331, 1675, 462, 1806, 460, 1804)(332, 1676, 463, 1807, 459, 1803)(333, 1677, 464, 1808, 456, 1800)(334, 1678, 466, 1810, 467, 1811)(337, 1681, 471, 1815, 469, 1813)(338, 1682, 472, 1816, 468, 1812)(339, 1683, 474, 1818, 340, 1684)(341, 1685, 470, 1814, 478, 1822)(343, 1687, 481, 1825, 479, 1823)(344, 1688, 480, 1824, 482, 1826)(345, 1689, 483, 1827, 484, 1828)(350, 1694, 489, 1833, 490, 1834)(363, 1707, 504, 1848, 502, 1846)(364, 1708, 503, 1847, 506, 1850)(365, 1709, 507, 1851, 508, 1852)(367, 1711, 510, 1854, 511, 1855)(370, 1714, 515, 1859, 513, 1857)(371, 1715, 516, 1860, 512, 1856)(372, 1716, 517, 1861, 509, 1853)(374, 1718, 521, 1865, 519, 1863)(375, 1719, 520, 1864, 523, 1867)(376, 1720, 524, 1868, 525, 1869)(378, 1722, 527, 1871, 528, 1872)(381, 1725, 532, 1876, 530, 1874)(382, 1726, 533, 1877, 529, 1873)(383, 1727, 385, 1729, 535, 1879)(384, 1728, 536, 1880, 526, 1870)(386, 1730, 539, 1883, 387, 1731)(388, 1732, 393, 1737, 543, 1887)(389, 1733, 391, 1735, 545, 1889)(390, 1734, 546, 1890, 414, 1758)(402, 1746, 560, 1904, 558, 1902)(404, 1748, 563, 1907, 561, 1905)(405, 1749, 562, 1906, 564, 1908)(406, 1750, 565, 1909, 566, 1910)(415, 1759, 417, 1761, 576, 1920)(416, 1760, 577, 1921, 418, 1762)(419, 1763, 581, 1925, 420, 1764)(421, 1765, 531, 1875, 585, 1929)(422, 1766, 586, 1930, 587, 1931)(425, 1769, 591, 1935, 589, 1933)(426, 1770, 592, 1936, 588, 1932)(427, 1771, 590, 1934, 595, 1939)(429, 1773, 598, 1942, 596, 1940)(430, 1774, 597, 1941, 599, 1943)(431, 1775, 600, 1944, 601, 1945)(433, 1777, 435, 1779, 604, 1948)(434, 1778, 605, 1949, 438, 1782)(439, 1783, 611, 1955, 440, 1784)(441, 1785, 461, 1805, 615, 1959)(442, 1786, 616, 1960, 443, 1787)(444, 1788, 448, 1792, 620, 1964)(445, 1789, 447, 1791, 622, 1966)(446, 1790, 623, 1967, 485, 1829)(452, 1796, 630, 1974, 631, 1975)(465, 1809, 645, 1989, 643, 1987)(473, 1817, 653, 1997, 897, 2241)(475, 1819, 916, 2260, 915, 2259)(476, 1820, 918, 2262, 705, 2049)(477, 1821, 655, 1999, 1086, 2430)(486, 1830, 488, 1832, 929, 2273)(487, 1831, 927, 2271, 491, 1835)(492, 1836, 934, 2278, 493, 1837)(494, 1838, 514, 1858, 953, 2297)(495, 1839, 937, 2281, 496, 1840)(497, 1841, 501, 1845, 821, 2165)(498, 1842, 500, 1844, 945, 2289)(499, 1843, 943, 2287, 602, 1946)(505, 1849, 648, 1992, 955, 2299)(518, 1862, 673, 2017, 768, 2112)(522, 1866, 646, 1990, 965, 2309)(534, 1878, 967, 2311, 708, 2052)(537, 1881, 678, 2022, 792, 2136)(538, 1882, 970, 2314, 969, 2313)(540, 1884, 891, 2235, 781, 2125)(541, 1885, 973, 2317, 999, 2343)(542, 1886, 731, 2075, 1221, 2565)(544, 1888, 975, 2319, 774, 2118)(547, 1891, 733, 2077, 979, 2323)(548, 1892, 981, 2325, 977, 2321)(549, 1893, 551, 1895, 802, 2146)(550, 1894, 985, 2329, 754, 2098)(552, 1896, 986, 2330, 553, 1897)(554, 1898, 559, 1903, 793, 2137)(555, 1899, 557, 1901, 993, 2337)(556, 1900, 991, 2335, 567, 1911)(568, 1912, 570, 1914, 1005, 2349)(569, 1913, 1003, 2347, 571, 1915)(572, 1916, 898, 2242, 573, 1917)(574, 1918, 920, 2264, 1179, 2523)(575, 1919, 812, 2156, 1190, 2534)(578, 1922, 809, 2153, 1012, 2356)(579, 1923, 925, 2269, 909, 2253)(580, 1924, 1016, 2360, 1091, 2435)(582, 1926, 1018, 2362, 856, 2200)(583, 1927, 1019, 2363, 766, 2110)(584, 1928, 681, 2025, 903, 2247)(593, 1937, 656, 2000, 820, 2164)(594, 1938, 651, 1995, 1079, 2423)(603, 1947, 834, 2178, 998, 2342)(606, 1950, 787, 2131, 1031, 2375)(607, 1951, 1029, 2373, 950, 2294)(608, 1952, 807, 2151, 609, 1953)(610, 1954, 1037, 2381, 1105, 2449)(612, 1956, 1039, 2383, 813, 2157)(613, 1957, 1040, 2384, 790, 2134)(614, 1958, 689, 2033, 938, 2282)(617, 1961, 900, 2244, 797, 2141)(618, 1962, 1044, 2388, 1075, 2419)(619, 1963, 747, 2091, 1183, 2527)(621, 1965, 1047, 2391, 732, 2076)(624, 1968, 739, 2083, 1050, 2394)(625, 1969, 1052, 2396, 1015, 2359)(626, 1970, 1053, 2397, 757, 2101)(627, 1971, 629, 1973, 1057, 2401)(628, 1972, 1055, 2399, 632, 1976)(633, 1977, 1061, 2405, 634, 1978)(635, 1979, 644, 1988, 866, 2210)(636, 1980, 1064, 2408, 637, 1981)(638, 1982, 642, 1986, 917, 2261)(639, 1983, 641, 1985, 1068, 2412)(640, 1984, 1028, 2372, 885, 2229)(647, 1991, 1072, 2416, 974, 2318)(649, 1993, 1074, 2418, 1045, 2389)(650, 1994, 1077, 2421, 863, 2207)(652, 1996, 1080, 2424, 982, 2326)(654, 1998, 1084, 2428, 872, 2216)(657, 2001, 1046, 2390, 971, 2315)(658, 2002, 1090, 2434, 1017, 2361)(659, 2003, 1092, 2436, 1095, 2439)(660, 2004, 1096, 2440, 842, 2186)(661, 2005, 1098, 2442, 1101, 2445)(662, 2006, 859, 2203, 1041, 2385)(663, 2007, 1103, 2447, 883, 2227)(664, 2008, 1004, 2348, 1038, 2382)(665, 2009, 1106, 2450, 1109, 2453)(666, 2010, 867, 2211, 1111, 2455)(667, 2011, 838, 2182, 1020, 2364)(668, 2012, 1113, 2457, 1082, 2426)(669, 2013, 1116, 2460, 1118, 2462)(670, 2014, 1119, 2463, 782, 2126)(671, 2015, 1122, 2466, 1078, 2422)(672, 2016, 1125, 2469, 799, 2143)(674, 2018, 1129, 2473, 1094, 2438)(675, 2019, 983, 2327, 1073, 2417)(676, 2020, 1134, 2478, 1136, 2480)(677, 2021, 1137, 2481, 763, 2107)(679, 2023, 1141, 2485, 1100, 2444)(680, 2024, 1144, 2488, 1108, 2452)(682, 2026, 777, 2121, 1148, 2492)(683, 2027, 1149, 2493, 1034, 2378)(684, 2028, 1150, 2494, 724, 2068)(685, 2029, 928, 2272, 1089, 2433)(686, 2030, 1035, 2379, 1076, 2420)(687, 2031, 1157, 2501, 1121, 2465)(688, 2032, 890, 2234, 1104, 2448)(690, 2034, 1161, 2505, 847, 2191)(691, 2035, 734, 2078, 861, 2205)(692, 2036, 978, 2322, 727, 2071)(693, 2037, 899, 2243, 1066, 2410)(694, 2038, 876, 2220, 936, 2280)(695, 2039, 770, 2114, 1170, 2514)(696, 2040, 1171, 2515, 896, 2240)(697, 2041, 740, 2084, 870, 2214)(698, 2042, 1173, 2517, 817, 2161)(699, 2043, 751, 2095, 841, 2185)(700, 2044, 1176, 2520, 1146, 2490)(701, 2045, 800, 2144, 1010, 2354)(702, 2046, 717, 2061, 1180, 2524)(703, 2047, 1181, 2525, 736, 2080)(704, 2048, 1067, 2411, 1102, 2446)(706, 2050, 1186, 2530, 1152, 2496)(707, 2051, 1049, 2393, 714, 2058)(709, 2053, 1191, 2535, 1165, 2509)(710, 2054, 1192, 2536, 1131, 2475)(711, 2055, 1195, 2539, 769, 2113)(712, 2056, 828, 2172, 941, 2285)(713, 2057, 1199, 2543, 1063, 2407)(715, 2059, 805, 2149, 1202, 2546)(716, 2060, 737, 2081, 1204, 2548)(718, 2062, 1056, 2400, 1110, 2454)(719, 2063, 1001, 2345, 1188, 2532)(720, 2064, 1206, 2550, 1143, 2487)(721, 2065, 1209, 2553, 776, 2120)(722, 2066, 765, 2109, 877, 2221)(723, 2067, 1213, 2557, 1006, 2350)(725, 2069, 789, 2133, 904, 2248)(726, 2070, 987, 2331, 1216, 2560)(728, 2072, 1030, 2374, 843, 2187)(729, 2073, 806, 2150, 780, 2124)(730, 2074, 1219, 2563, 1178, 2522)(735, 2079, 783, 2127, 989, 2333)(738, 2082, 1203, 2547, 1112, 2456)(741, 2085, 1226, 2570, 864, 2208)(742, 2086, 784, 2128, 796, 2140)(743, 2087, 1229, 2573, 1220, 2564)(744, 2088, 1009, 2353, 1115, 2459)(745, 2089, 1232, 2576, 988, 2332)(746, 2090, 1234, 2578, 1194, 2538)(748, 2092, 942, 2286, 1087, 2431)(749, 2093, 888, 2232, 961, 2305)(750, 2094, 1237, 2581, 775, 2119)(752, 2096, 1011, 2355, 874, 2218)(753, 2097, 801, 2145, 760, 2104)(755, 2099, 882, 2226, 1133, 2477)(756, 2100, 1241, 2585, 1196, 2540)(758, 2102, 914, 2258, 1156, 2500)(759, 2103, 1245, 2589, 1210, 2554)(761, 2105, 1062, 2406, 930, 2274)(762, 2106, 884, 2228, 1247, 2591)(764, 2108, 844, 2188, 786, 2130)(767, 2111, 1251, 2595, 865, 2209)(771, 2115, 1168, 2512, 1147, 2491)(772, 2116, 1253, 2597, 1208, 2552)(773, 2117, 1205, 2549, 940, 2284)(778, 2122, 992, 2336, 1002, 2346)(779, 2123, 1256, 2600, 837, 2181)(785, 2129, 931, 2275, 1054, 2398)(788, 2132, 893, 2237, 803, 2147)(791, 2135, 1261, 2605, 836, 2180)(794, 2138, 1160, 2504, 1169, 2513)(795, 2139, 1263, 2607, 858, 2202)(798, 2142, 968, 2312, 1266, 2610)(804, 2148, 1269, 2613, 1270, 2614)(808, 2152, 827, 2171, 814, 2158)(810, 2154, 907, 2251, 1124, 2468)(811, 2155, 855, 2199, 1185, 2529)(815, 2159, 902, 2246, 1275, 2619)(816, 2160, 840, 2184, 1277, 2621)(818, 2162, 1279, 2623, 972, 2316)(819, 2163, 1280, 2624, 1083, 2427)(822, 2166, 1217, 2561, 912, 2256)(823, 2167, 1211, 2555, 1244, 2588)(824, 2168, 1167, 2511, 932, 2276)(825, 2169, 990, 2334, 1071, 2415)(826, 2170, 854, 2198, 833, 2177)(829, 2173, 1283, 2627, 857, 2201)(830, 2174, 1214, 2558, 1231, 2575)(831, 2175, 1154, 2498, 880, 2224)(832, 2176, 1285, 2629, 1127, 2471)(835, 2179, 1286, 2630, 1182, 2526)(839, 2183, 878, 2222, 889, 2233)(845, 2189, 935, 2279, 1058, 2402)(846, 2190, 860, 2204, 1292, 2636)(848, 2192, 1294, 2638, 1043, 2387)(849, 2193, 1281, 2625, 1088, 2432)(850, 2194, 1200, 2544, 1022, 2366)(851, 2195, 1197, 2541, 1000, 2344)(852, 2196, 1159, 2503, 901, 2245)(853, 2197, 1295, 2639, 1139, 2483)(862, 2206, 1117, 2461, 1298, 2642)(868, 2212, 944, 2288, 926, 2270)(869, 2213, 1300, 2644, 895, 2239)(871, 2215, 1135, 2479, 1301, 2645)(873, 2217, 995, 2339, 1258, 2602)(875, 2219, 1302, 2646, 1303, 2647)(879, 2223, 1304, 2648, 1240, 2584)(881, 2225, 964, 2308, 1027, 2371)(886, 2230, 1215, 2559, 1097, 2441)(887, 2231, 913, 2257, 910, 2254)(892, 2236, 1305, 2649, 894, 2238)(905, 2249, 1310, 2654, 1243, 2587)(906, 2250, 1166, 2510, 1250, 2594)(908, 2252, 1276, 2620, 962, 2306)(911, 2255, 1273, 2617, 1151, 2495)(919, 2263, 1287, 2631, 1282, 2626)(921, 2265, 1198, 2542, 1059, 2403)(922, 2266, 1313, 2657, 1315, 2659)(923, 2267, 1023, 2367, 954, 2298)(924, 2268, 1021, 2365, 1201, 2545)(933, 2277, 1265, 2609, 1123, 2467)(939, 2283, 1224, 2568, 1081, 2425)(946, 2290, 1319, 2663, 1230, 2574)(947, 2291, 1153, 2497, 1260, 2604)(948, 2292, 1321, 2665, 1311, 2655)(949, 2293, 1042, 2386, 1233, 2577)(951, 2295, 959, 2303, 1309, 2653)(952, 2296, 1174, 2518, 1278, 2622)(956, 2300, 1290, 2634, 1164, 2508)(957, 2301, 1158, 2502, 1060, 2404)(958, 2302, 1325, 2669, 1320, 2664)(960, 2304, 1323, 2667, 1242, 2586)(963, 2307, 1162, 2506, 1293, 2637)(966, 2310, 1306, 2650, 1187, 2531)(976, 2320, 1329, 2673, 1014, 2358)(980, 2324, 1107, 2451, 1322, 2666)(984, 2328, 1070, 2414, 1227, 2571)(994, 2338, 1032, 2376, 1272, 2616)(996, 2340, 1246, 2590, 1120, 2464)(997, 2341, 1331, 2675, 1317, 2661)(1007, 2351, 1274, 2618, 1114, 2458)(1008, 2352, 1330, 2674, 1013, 2357)(1024, 2368, 1296, 2640, 1284, 2628)(1025, 2369, 1212, 2556, 1085, 2429)(1026, 2370, 1337, 2681, 1333, 2677)(1033, 2377, 1048, 2392, 1338, 2682)(1036, 2380, 1252, 2596, 1128, 2472)(1051, 2395, 1093, 2437, 1326, 2670)(1065, 2409, 1255, 2599, 1099, 2443)(1069, 2413, 1318, 2662, 1207, 2551)(1126, 2470, 1267, 2611, 1257, 2601)(1130, 2474, 1332, 2676, 1288, 2632)(1132, 2476, 1314, 2658, 1291, 2635)(1138, 2482, 1248, 2592, 1264, 2608)(1140, 2484, 1289, 2633, 1262, 2606)(1142, 2486, 1340, 2684, 1297, 2641)(1145, 2489, 1341, 2685, 1299, 2643)(1155, 2499, 1324, 2668, 1308, 2652)(1163, 2507, 1268, 2612, 1223, 2567)(1172, 2516, 1271, 2615, 1225, 2569)(1175, 2519, 1259, 2603, 1238, 2582)(1177, 2521, 1343, 2687, 1328, 2672)(1184, 2528, 1312, 2656, 1334, 2678)(1189, 2533, 1327, 2671, 1335, 2679)(1193, 2537, 1344, 2688, 1339, 2683)(1218, 2562, 1228, 2572, 1239, 2583)(1222, 2566, 1254, 2598, 1236, 2580)(1235, 2579, 1342, 2686, 1307, 2651)(1249, 2593, 1336, 2680, 1316, 2660)
	L = (1, 1347)(2, 1350)(3, 1353)(4, 1355)(5, 1345)(6, 1358)(7, 1346)(8, 1348)(9, 1363)(10, 1365)(11, 1366)(12, 1367)(13, 1349)(14, 1371)(15, 1373)(16, 1351)(17, 1352)(18, 1354)(19, 1370)(20, 1382)(21, 1383)(22, 1384)(23, 1386)(24, 1356)(25, 1388)(26, 1357)(27, 1376)(28, 1393)(29, 1394)(30, 1359)(31, 1396)(32, 1360)(33, 1399)(34, 1361)(35, 1362)(36, 1364)(37, 1405)(38, 1406)(39, 1407)(40, 1378)(41, 1411)(42, 1412)(43, 1368)(44, 1416)(45, 1369)(46, 1381)(47, 1372)(48, 1420)(49, 1421)(50, 1422)(51, 1374)(52, 1426)(53, 1375)(54, 1392)(55, 1429)(56, 1377)(57, 1410)(58, 1432)(59, 1379)(60, 1380)(61, 1437)(62, 1438)(63, 1403)(64, 1442)(65, 1385)(66, 1444)(67, 1445)(68, 1415)(69, 1448)(70, 1449)(71, 1387)(72, 1452)(73, 1389)(74, 1390)(75, 1391)(76, 1459)(77, 1460)(78, 1425)(79, 1464)(80, 1465)(81, 1395)(82, 1468)(83, 1397)(84, 1398)(85, 1473)(86, 1400)(87, 1401)(88, 1478)(89, 1402)(90, 1441)(91, 1481)(92, 1404)(93, 1484)(94, 1436)(95, 1488)(96, 1408)(97, 1490)(98, 1491)(99, 1409)(100, 1494)(101, 1495)(102, 1413)(103, 1498)(104, 1499)(105, 1500)(106, 1414)(107, 1447)(108, 1455)(109, 1505)(110, 1506)(111, 1417)(112, 1418)(113, 1510)(114, 1419)(115, 1513)(116, 1458)(117, 1517)(118, 1423)(119, 1519)(120, 1520)(121, 1521)(122, 1424)(123, 1463)(124, 1471)(125, 1526)(126, 1527)(127, 1427)(128, 1428)(129, 1476)(130, 1533)(131, 1534)(132, 1430)(133, 1431)(134, 1539)(135, 1433)(136, 1434)(137, 1544)(138, 1435)(139, 1487)(140, 1456)(141, 1549)(142, 1439)(143, 1551)(144, 1552)(145, 1440)(146, 1555)(147, 1556)(148, 1558)(149, 1443)(150, 1538)(151, 1493)(152, 1564)(153, 1446)(154, 1567)(155, 1568)(156, 1570)(157, 1450)(158, 1451)(159, 1453)(160, 1576)(161, 1577)(162, 1578)(163, 1454)(164, 1504)(165, 1548)(166, 1582)(167, 1457)(168, 1516)(169, 1472)(170, 1587)(171, 1461)(172, 1589)(173, 1590)(174, 1462)(175, 1593)(176, 1594)(177, 1596)(178, 1466)(179, 1467)(180, 1469)(181, 1602)(182, 1603)(183, 1604)(184, 1470)(185, 1525)(186, 1586)(187, 1474)(188, 1609)(189, 1610)(190, 1611)(191, 1475)(192, 1532)(193, 1614)(194, 1477)(195, 1542)(196, 1619)(197, 1620)(198, 1479)(199, 1480)(200, 1625)(201, 1482)(202, 1483)(203, 1485)(204, 1631)(205, 1632)(206, 1486)(207, 1635)(208, 1636)(209, 1638)(210, 1489)(211, 1624)(212, 1554)(213, 1644)(214, 1645)(215, 1492)(216, 1563)(217, 1648)(218, 1496)(219, 1650)(220, 1651)(221, 1652)(222, 1497)(223, 1655)(224, 1566)(225, 1659)(226, 1573)(227, 1662)(228, 1663)(229, 1501)(230, 1502)(231, 1503)(232, 1669)(233, 1670)(234, 1672)(235, 1507)(236, 1508)(237, 1509)(238, 1678)(239, 1511)(240, 1512)(241, 1514)(242, 1684)(243, 1685)(244, 1515)(245, 1688)(246, 1689)(247, 1691)(248, 1518)(249, 1694)(250, 1592)(251, 1698)(252, 1599)(253, 1701)(254, 1702)(255, 1522)(256, 1523)(257, 1524)(258, 1708)(259, 1709)(260, 1711)(261, 1528)(262, 1529)(263, 1530)(264, 1531)(265, 1719)(266, 1720)(267, 1722)(268, 1535)(269, 1536)(270, 1727)(271, 1537)(272, 1561)(273, 1540)(274, 1731)(275, 1732)(276, 1733)(277, 1541)(278, 1618)(279, 1736)(280, 1543)(281, 1628)(282, 1741)(283, 1742)(284, 1545)(285, 1546)(286, 1547)(287, 1749)(288, 1750)(289, 1752)(290, 1550)(291, 1746)(292, 1634)(293, 1758)(294, 1759)(295, 1553)(296, 1643)(297, 1762)(298, 1557)(299, 1764)(300, 1765)(301, 1766)(302, 1559)(303, 1560)(304, 1771)(305, 1562)(306, 1774)(307, 1775)(308, 1777)(309, 1565)(310, 1658)(311, 1574)(312, 1782)(313, 1569)(314, 1784)(315, 1785)(316, 1571)(317, 1787)(318, 1788)(319, 1789)(320, 1572)(321, 1661)(322, 1781)(323, 1793)(324, 1575)(325, 1796)(326, 1668)(327, 1800)(328, 1675)(329, 1803)(330, 1804)(331, 1579)(332, 1580)(333, 1581)(334, 1681)(335, 1812)(336, 1813)(337, 1583)(338, 1584)(339, 1585)(340, 1820)(341, 1821)(342, 1823)(343, 1588)(344, 1817)(345, 1687)(346, 1829)(347, 1830)(348, 1591)(349, 1697)(350, 1600)(351, 1835)(352, 1595)(353, 1837)(354, 1838)(355, 1597)(356, 1840)(357, 1841)(358, 1842)(359, 1598)(360, 1700)(361, 1834)(362, 1846)(363, 1601)(364, 1849)(365, 1707)(366, 1853)(367, 1714)(368, 1856)(369, 1857)(370, 1605)(371, 1606)(372, 1607)(373, 1863)(374, 1608)(375, 1866)(376, 1718)(377, 1870)(378, 1725)(379, 1873)(380, 1874)(381, 1612)(382, 1613)(383, 1878)(384, 1615)(385, 1616)(386, 1617)(387, 1885)(388, 1886)(389, 1888)(390, 1621)(391, 1622)(392, 1893)(393, 1623)(394, 1641)(395, 1626)(396, 1897)(397, 1898)(398, 1899)(399, 1627)(400, 1740)(401, 1902)(402, 1629)(403, 1905)(404, 1630)(405, 1809)(406, 1748)(407, 1911)(408, 1912)(409, 1633)(410, 1757)(411, 1915)(412, 1637)(413, 1917)(414, 1918)(415, 1919)(416, 1639)(417, 1640)(418, 1924)(419, 1642)(420, 1927)(421, 1928)(422, 1769)(423, 1932)(424, 1933)(425, 1646)(426, 1647)(427, 1938)(428, 1940)(429, 1649)(430, 1937)(431, 1773)(432, 1946)(433, 1947)(434, 1653)(435, 1654)(436, 1656)(437, 1953)(438, 1954)(439, 1657)(440, 1957)(441, 1958)(442, 1660)(443, 1962)(444, 1963)(445, 1965)(446, 1664)(447, 1665)(448, 1666)(449, 1971)(450, 1667)(451, 1799)(452, 1676)(453, 1976)(454, 1671)(455, 1978)(456, 1979)(457, 1673)(458, 1981)(459, 1982)(460, 1983)(461, 1674)(462, 1802)(463, 1975)(464, 1987)(465, 1677)(466, 1679)(467, 2256)(468, 2055)(469, 2206)(470, 1680)(471, 1811)(472, 2241)(473, 1682)(474, 2259)(475, 1683)(476, 1862)(477, 1819)(478, 2263)(479, 2039)(480, 1686)(481, 1828)(482, 2266)(483, 1690)(484, 2212)(485, 2268)(486, 2155)(487, 1692)(488, 1693)(489, 1695)(490, 2275)(491, 2277)(492, 1696)(493, 2251)(494, 2280)(495, 1699)(496, 2283)(497, 2284)(498, 2286)(499, 1703)(500, 1704)(501, 1705)(502, 2142)(503, 1706)(504, 1852)(505, 1715)(506, 2292)(507, 1710)(508, 2293)(509, 2123)(510, 1712)(511, 2295)(512, 2001)(513, 2296)(514, 1713)(515, 1855)(516, 2299)(517, 2112)(518, 1716)(519, 2106)(520, 1717)(521, 1869)(522, 1726)(523, 2302)(524, 1721)(525, 2304)(526, 2139)(527, 1723)(528, 2306)(529, 2007)(530, 2307)(531, 1724)(532, 1872)(533, 2309)(534, 1881)(535, 2313)(536, 2136)(537, 1728)(538, 1729)(539, 2125)(540, 1730)(541, 2318)(542, 1884)(543, 2098)(544, 1891)(545, 2321)(546, 2323)(547, 1734)(548, 1735)(549, 2327)(550, 1737)(551, 1738)(552, 1739)(553, 2265)(554, 2332)(555, 2334)(556, 1743)(557, 1744)(558, 2339)(559, 1745)(560, 1755)(561, 2010)(562, 1747)(563, 1910)(564, 2341)(565, 1751)(566, 2237)(567, 2344)(568, 2099)(569, 1753)(570, 1754)(571, 2351)(572, 1756)(573, 2353)(574, 2354)(575, 1922)(576, 2253)(577, 2356)(578, 1760)(579, 1761)(580, 2361)(581, 2200)(582, 1763)(583, 2364)(584, 1926)(585, 2365)(586, 1767)(587, 2366)(588, 2065)(589, 2215)(590, 1768)(591, 1931)(592, 2164)(593, 1770)(594, 1882)(595, 2368)(596, 2026)(597, 1772)(598, 1945)(599, 2370)(600, 1776)(601, 2183)(602, 2372)(603, 1950)(604, 2294)(605, 2375)(606, 1778)(607, 1779)(608, 1780)(609, 2379)(610, 2382)(611, 2157)(612, 1783)(613, 2385)(614, 1956)(615, 2229)(616, 2141)(617, 1786)(618, 2389)(619, 1961)(620, 2101)(621, 1968)(622, 2359)(623, 2394)(624, 1790)(625, 1791)(626, 1792)(627, 2257)(628, 1794)(629, 1795)(630, 1797)(631, 2355)(632, 2404)(633, 1798)(634, 2196)(635, 2407)(636, 1801)(637, 2409)(638, 2224)(639, 2411)(640, 1805)(641, 1806)(642, 1807)(643, 2414)(644, 1808)(645, 1908)(646, 1867)(647, 2343)(648, 1850)(649, 2419)(650, 2403)(651, 1939)(652, 2425)(653, 1826)(654, 2429)(655, 1822)(656, 1943)(657, 2245)(658, 2435)(659, 2437)(660, 2441)(661, 2443)(662, 2134)(663, 2276)(664, 2449)(665, 2451)(666, 2154)(667, 2110)(668, 2458)(669, 2461)(670, 2464)(671, 2467)(672, 2470)(673, 2049)(674, 2474)(675, 2476)(676, 2479)(677, 2482)(678, 2052)(679, 2486)(680, 2489)(681, 1929)(682, 2088)(683, 1844)(684, 2495)(685, 2497)(686, 2499)(687, 1901)(688, 2502)(689, 1959)(690, 2506)(691, 2030)(692, 2508)(693, 2510)(694, 2297)(695, 2102)(696, 1985)(697, 2012)(698, 2518)(699, 2019)(700, 2521)(701, 2523)(702, 2054)(703, 2526)(704, 2298)(705, 2528)(706, 1973)(707, 2531)(708, 2533)(709, 2312)(710, 2537)(711, 2540)(712, 2541)(713, 2210)(714, 2023)(715, 2545)(716, 2064)(717, 2362)(718, 2308)(719, 2228)(720, 2551)(721, 2554)(722, 2555)(723, 2181)(724, 2024)(725, 2558)(726, 2202)(727, 2018)(728, 2484)(729, 2015)(730, 2392)(731, 1887)(732, 2483)(733, 2118)(734, 2567)(735, 1984)(736, 2044)(737, 2383)(738, 2254)(739, 2076)(740, 2569)(741, 2571)(742, 2002)(743, 2204)(744, 2574)(745, 2137)(746, 2579)(747, 1964)(748, 2415)(749, 1832)(750, 2092)(751, 2582)(752, 2472)(753, 2008)(754, 2213)(755, 2584)(756, 2113)(757, 2184)(758, 2587)(759, 2120)(760, 2578)(761, 2239)(762, 2225)(763, 2005)(764, 2519)(765, 2029)(766, 2593)(767, 2169)(768, 2596)(769, 2074)(770, 1825)(771, 2178)(772, 2320)(773, 2165)(774, 2471)(775, 1843)(776, 2090)(777, 1942)(778, 2199)(779, 2350)(780, 2597)(781, 2160)(782, 2009)(783, 2048)(784, 2562)(785, 2602)(786, 1995)(787, 2342)(788, 2507)(789, 2032)(790, 2352)(791, 2176)(792, 2606)(793, 2116)(794, 2156)(795, 2560)(796, 2563)(797, 2190)(798, 2367)(799, 2003)(800, 2062)(801, 2572)(802, 2427)(803, 1909)(804, 2529)(805, 2082)(806, 2583)(807, 2432)(808, 1999)(809, 2534)(810, 2616)(811, 2614)(812, 1920)(813, 2060)(814, 2550)(815, 2358)(816, 2250)(817, 1993)(818, 2231)(819, 1895)(820, 2625)(821, 2087)(822, 1810)(823, 2626)(824, 2227)(825, 2431)(826, 1914)(827, 2516)(828, 2037)(829, 2197)(830, 2628)(831, 2261)(832, 2319)(833, 2114)(834, 1948)(835, 2080)(836, 2631)(837, 2174)(838, 2260)(839, 2258)(840, 2235)(841, 1894)(842, 2020)(843, 1992)(844, 2520)(845, 2377)(846, 2291)(847, 1996)(848, 2267)(849, 1952)(850, 1930)(851, 2335)(852, 2315)(853, 2391)(854, 2121)(855, 2273)(856, 2046)(857, 2640)(858, 2195)(859, 2314)(860, 2244)(861, 1970)(862, 2629)(863, 2031)(864, 1990)(865, 1900)(866, 2167)(867, 1907)(868, 2226)(869, 2274)(870, 2573)(871, 2639)(872, 2013)(873, 2398)(874, 1974)(875, 2371)(876, 2115)(877, 2615)(878, 1944)(879, 2477)(880, 2279)(881, 2647)(882, 2349)(883, 2053)(884, 1865)(885, 2287)(886, 2186)(887, 2456)(888, 2211)(889, 2300)(890, 2069)(891, 2565)(892, 2303)(893, 2536)(894, 2651)(895, 2301)(896, 1991)(897, 2624)(898, 2310)(899, 2056)(900, 2527)(901, 2236)(902, 2252)(903, 2122)(904, 2603)(905, 2500)(906, 2655)(907, 2455)(908, 1871)(909, 2081)(910, 2401)(911, 2068)(912, 2369)(913, 2316)(914, 2514)(915, 2011)(916, 2430)(917, 2063)(918, 1818)(919, 2588)(920, 1890)(921, 2207)(922, 2658)(923, 2446)(924, 2546)(925, 2182)(926, 2255)(927, 2613)(928, 2066)(929, 2305)(930, 2549)(931, 2457)(932, 2246)(933, 2422)(934, 2179)(935, 1980)(936, 2630)(937, 2105)(938, 2138)(939, 2326)(940, 2406)(941, 2612)(942, 2119)(943, 2581)(944, 1827)(945, 2378)(946, 2459)(947, 2664)(948, 2594)(949, 2168)(950, 2047)(951, 2666)(952, 2400)(953, 2264)(954, 2610)(955, 2374)(956, 2071)(957, 2399)(958, 2604)(959, 1854)(960, 2175)(961, 2061)(962, 2670)(963, 2547)(964, 2591)(965, 2570)(966, 2058)(967, 1879)(968, 1848)(969, 2006)(970, 2423)(971, 2050)(972, 1972)(973, 1883)(974, 1892)(975, 1889)(976, 2619)(977, 2004)(978, 2535)(979, 2601)(980, 2653)(981, 2416)(982, 2027)(983, 2185)(984, 2208)(985, 2095)(986, 2067)(987, 2166)(988, 2557)(989, 2634)(990, 2209)(991, 2595)(992, 2025)(993, 2465)(994, 2468)(995, 2466)(996, 2126)(997, 2676)(998, 2491)(999, 2192)(1000, 2285)(1001, 1986)(1002, 2592)(1003, 2648)(1004, 2104)(1005, 2177)(1006, 2576)(1007, 2426)(1008, 2671)(1009, 2492)(1010, 2650)(1011, 2485)(1012, 2324)(1013, 2662)(1014, 2381)(1015, 1994)(1016, 1921)(1017, 2163)(1018, 2247)(1019, 1925)(1020, 1923)(1021, 1967)(1022, 2230)(1023, 2387)(1024, 2575)(1025, 2216)(1026, 2668)(1027, 2454)(1028, 2333)(1029, 2203)(1030, 2488)(1031, 2395)(1032, 2672)(1033, 2609)(1034, 1998)(1035, 2205)(1036, 2218)(1037, 1949)(1038, 2193)(1039, 2282)(1040, 1955)(1041, 1951)(1042, 1851)(1043, 2665)(1044, 1960)(1045, 1969)(1046, 1860)(1047, 1966)(1048, 2402)(1049, 2345)(1050, 2608)(1051, 2620)(1052, 2418)(1053, 2078)(1054, 1833)(1055, 2623)(1056, 2045)(1057, 2496)(1058, 2498)(1059, 2173)(1060, 2448)(1061, 2103)(1062, 1839)(1063, 2589)(1064, 2189)(1065, 2445)(1066, 2633)(1067, 2079)(1068, 2240)(1069, 2487)(1070, 2272)(1071, 2337)(1072, 2515)(1073, 2146)(1074, 2517)(1075, 2219)(1076, 2151)(1077, 2396)(1078, 2217)(1079, 2188)(1080, 2505)(1081, 2162)(1082, 2129)(1083, 1997)(1084, 2493)(1085, 2111)(1086, 2158)(1087, 2289)(1088, 2000)(1089, 2328)(1090, 2140)(1091, 2686)(1092, 2469)(1093, 2131)(1094, 2085)(1095, 2034)(1096, 2325)(1097, 2135)(1098, 2481)(1099, 2148)(1100, 2096)(1101, 2040)(1102, 2412)(1103, 1877)(1104, 2380)(1105, 2673)(1106, 2463)(1107, 2153)(1108, 2072)(1109, 2042)(1110, 2622)(1111, 2093)(1112, 2637)(1113, 2214)(1114, 2413)(1115, 2242)(1116, 2428)(1117, 1815)(1118, 2016)(1119, 2501)(1120, 2094)(1121, 2014)(1122, 2124)(1123, 2682)(1124, 2278)(1125, 2460)(1126, 2077)(1127, 2642)(1128, 2017)(1129, 2322)(1130, 2249)(1131, 2132)(1132, 2687)(1133, 2270)(1134, 2440)(1135, 1935)(1136, 2021)(1137, 2478)(1138, 2083)(1139, 2645)(1140, 2022)(1141, 2393)(1142, 2290)(1143, 2171)(1144, 2494)(1145, 2223)(1146, 2108)(1147, 2611)(1148, 2170)(1149, 2424)(1150, 2530)(1151, 2149)(1152, 2028)(1153, 2636)(1154, 2586)(1155, 2688)(1156, 2233)(1157, 2421)(1158, 2644)(1159, 2405)(1160, 2033)(1161, 2436)(1162, 1876)(1163, 2035)(1164, 2127)(1165, 2036)(1166, 2621)(1167, 2577)(1168, 2038)(1169, 2340)(1170, 2198)(1171, 2442)(1172, 2041)(1173, 2450)(1174, 1859)(1175, 2043)(1176, 2525)(1177, 2338)(1178, 2128)(1179, 1858)(1180, 2232)(1181, 2373)(1182, 2220)(1183, 2598)(1184, 2684)(1185, 2346)(1186, 2390)(1187, 2144)(1188, 2051)(1189, 2685)(1190, 2513)(1191, 2447)(1192, 2524)(1193, 2680)(1194, 2145)(1195, 1816)(1196, 2331)(1197, 2607)(1198, 2330)(1199, 2194)(1200, 2057)(1201, 1875)(1202, 2617)(1203, 2059)(1204, 2269)(1205, 2566)(1206, 2548)(1207, 2674)(1208, 2150)(1209, 1936)(1210, 2543)(1211, 1988)(1212, 2561)(1213, 1896)(1214, 2600)(1215, 2544)(1216, 2585)(1217, 2070)(1218, 2073)(1219, 2539)(1220, 2084)(1221, 2580)(1222, 2075)(1223, 2172)(1224, 2281)(1225, 2109)(1226, 2473)(1227, 1989)(1228, 2086)(1229, 1845)(1230, 2681)(1231, 2248)(1232, 2386)(1233, 2089)(1234, 2553)(1235, 2649)(1236, 2091)(1237, 2590)(1238, 2133)(1239, 2097)(1240, 1913)(1241, 2667)(1242, 2100)(1243, 2657)(1244, 2221)(1245, 1977)(1246, 2504)(1247, 2532)(1248, 2107)(1249, 2656)(1250, 2410)(1251, 2556)(1252, 2234)(1253, 1903)(1254, 2117)(1255, 2408)(1256, 1861)(1257, 2512)(1258, 1904)(1259, 2130)(1260, 2433)(1261, 2559)(1262, 2243)(1263, 1880)(1264, 2336)(1265, 2271)(1266, 2509)(1267, 2143)(1268, 2147)(1269, 2599)(1270, 1831)(1271, 2152)(1272, 2675)(1273, 2288)(1274, 2347)(1275, 2511)(1276, 2159)(1277, 2397)(1278, 2161)(1279, 2568)(1280, 2434)(1281, 2348)(1282, 2605)(1283, 2542)(1284, 2627)(1285, 2180)(1286, 1836)(1287, 1814)(1288, 2661)(1289, 2187)(1290, 2222)(1291, 2659)(1292, 2564)(1293, 2191)(1294, 2317)(1295, 2201)(1296, 1934)(1297, 2678)(1298, 2462)(1299, 2679)(1300, 2329)(1301, 2480)(1302, 2388)(1303, 2669)(1304, 2643)(1305, 2503)(1306, 1916)(1307, 2360)(1308, 2677)(1309, 2238)(1310, 2632)(1311, 2638)(1312, 2262)(1313, 1824)(1314, 2417)(1315, 2654)(1316, 2683)(1317, 2376)(1318, 2618)(1319, 2641)(1320, 2646)(1321, 1847)(1322, 2453)(1323, 1868)(1324, 2420)(1325, 1864)(1326, 2439)(1327, 2311)(1328, 2635)(1329, 2552)(1330, 2384)(1331, 1906)(1332, 2438)(1333, 2663)(1334, 2660)(1335, 2357)(1336, 2363)(1337, 1941)(1338, 2522)(1339, 2652)(1340, 2444)(1341, 2452)(1342, 2538)(1343, 2490)(1344, 2475)
	local type(s) :: { ( 2, 7, 2, 7, 2, 7 ) }
Outer automorphisms :: chiral
Dual of E17.2388
Transitivity :: ET+ VT+
Graph::
	v = 448 e = 1344 f = 864
	degree seq :: [ 6^448 ]

E17.2391 :: Family: { 5* } :: Oriented family(ies): { E3*a }
Signature :: (0; {2, 3, 7})
Quotient :: loop
Aut^+ = $<1344, 814>$ (small group id <1344, 814>)
Aut   = $<1344, 814>$ (small group id <1344, 814>)
|r| :: 1
Presentation :: [ X2^2, (X2 * X1^-1)^3, X1^7, (X1^-2 * X2 * X1^3 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-1)^2, X2 * X1^2 * X2 * X1^-1 * X2 * X1 * X2 * X1^-2 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-3 * X2 * X1^2 * X2 * X1^-2 * X2 * X1^-3 ]
Map::
	R = (1, 1345, 2, 1346, 5, 1349, 11, 1355, 20, 1364, 10, 1354, 4, 1348)(3, 1347, 7, 1351, 15, 1359, 26, 1370, 30, 1374, 17, 1361, 8, 1352)(6, 1350, 13, 1357, 24, 1368, 39, 1383, 42, 1386, 25, 1369, 14, 1358)(9, 1353, 18, 1362, 31, 1375, 49, 1393, 46, 1390, 28, 1372, 16, 1360)(12, 1356, 22, 1366, 37, 1381, 57, 1401, 60, 1404, 38, 1382, 23, 1367)(19, 1363, 33, 1377, 52, 1396, 77, 1421, 76, 1420, 51, 1395, 32, 1376)(21, 1365, 35, 1379, 55, 1399, 81, 1425, 84, 1428, 56, 1400, 36, 1380)(27, 1371, 44, 1388, 67, 1411, 97, 1441, 100, 1444, 68, 1412, 45, 1389)(29, 1373, 47, 1391, 70, 1414, 102, 1446, 91, 1435, 62, 1406, 40, 1384)(34, 1378, 54, 1398, 80, 1424, 115, 1459, 114, 1458, 79, 1423, 53, 1397)(41, 1385, 63, 1407, 92, 1436, 130, 1474, 123, 1467, 86, 1430, 58, 1402)(43, 1387, 65, 1409, 95, 1439, 134, 1478, 137, 1481, 96, 1440, 66, 1410)(48, 1392, 72, 1416, 105, 1449, 147, 1491, 146, 1490, 104, 1448, 71, 1415)(50, 1394, 74, 1418, 108, 1452, 151, 1495, 154, 1498, 109, 1453, 75, 1419)(59, 1403, 87, 1431, 124, 1468, 172, 1516, 165, 1509, 118, 1462, 82, 1426)(61, 1405, 89, 1433, 127, 1471, 176, 1520, 179, 1523, 128, 1472, 90, 1434)(64, 1408, 94, 1438, 133, 1477, 185, 1529, 184, 1528, 132, 1476, 93, 1437)(69, 1413, 101, 1445, 142, 1486, 197, 1541, 193, 1537, 139, 1483, 98, 1442)(73, 1417, 106, 1450, 149, 1493, 206, 1550, 209, 1553, 150, 1494, 107, 1451)(78, 1422, 112, 1456, 158, 1502, 217, 1561, 220, 1564, 159, 1503, 113, 1457)(83, 1427, 119, 1463, 166, 1510, 228, 1572, 224, 1568, 162, 1506, 116, 1460)(85, 1429, 121, 1465, 169, 1513, 232, 1576, 235, 1579, 170, 1514, 122, 1466)(88, 1432, 126, 1470, 175, 1519, 241, 1585, 240, 1584, 174, 1518, 125, 1469)(99, 1443, 140, 1484, 194, 1538, 264, 1608, 257, 1601, 188, 1532, 135, 1479)(103, 1447, 144, 1488, 201, 1545, 272, 1616, 275, 1619, 202, 1546, 145, 1489)(110, 1454, 155, 1499, 214, 1558, 290, 1634, 286, 1630, 211, 1555, 152, 1496)(111, 1455, 156, 1500, 215, 1559, 292, 1636, 295, 1639, 216, 1560, 157, 1501)(117, 1461, 163, 1507, 225, 1569, 304, 1648, 307, 1651, 226, 1570, 164, 1508)(120, 1464, 168, 1512, 231, 1575, 313, 1657, 312, 1656, 230, 1574, 167, 1511)(129, 1473, 180, 1524, 247, 1591, 333, 1677, 329, 1673, 244, 1588, 177, 1521)(131, 1475, 182, 1526, 250, 1594, 337, 1681, 340, 1684, 251, 1595, 183, 1527)(136, 1480, 189, 1533, 258, 1602, 348, 1692, 279, 1623, 205, 1549, 148, 1492)(138, 1482, 191, 1535, 261, 1605, 352, 1696, 355, 1699, 262, 1606, 192, 1536)(141, 1485, 196, 1540, 267, 1611, 361, 1705, 360, 1704, 266, 1610, 195, 1539)(143, 1487, 199, 1543, 270, 1614, 366, 1710, 369, 1713, 271, 1615, 200, 1544)(153, 1497, 212, 1556, 287, 1631, 387, 1731, 380, 1724, 281, 1625, 207, 1551)(160, 1504, 221, 1565, 300, 1644, 403, 1747, 399, 1743, 297, 1641, 218, 1562)(161, 1505, 222, 1566, 301, 1645, 405, 1749, 408, 1752, 302, 1646, 223, 1567)(171, 1515, 236, 1580, 319, 1663, 659, 2003, 1022, 2366, 316, 1660, 233, 1577)(173, 1517, 238, 1582, 322, 1666, 664, 2008, 1177, 2521, 323, 1667, 239, 1583)(178, 1522, 245, 1589, 330, 1674, 674, 2018, 344, 1688, 254, 1598, 186, 1530)(181, 1525, 248, 1592, 335, 1679, 476, 1820, 922, 2266, 336, 1680, 249, 1593)(187, 1531, 255, 1599, 345, 1689, 672, 2016, 1051, 2395, 346, 1690, 256, 1600)(190, 1534, 260, 1604, 351, 1695, 620, 1964, 1122, 2466, 350, 1694, 259, 1603)(198, 1542, 208, 1552, 282, 1626, 381, 1725, 734, 2078, 365, 1709, 269, 1613)(203, 1547, 276, 1620, 374, 1718, 725, 2069, 993, 2337, 371, 1715, 273, 1617)(204, 1548, 277, 1621, 375, 1719, 513, 1857, 996, 2340, 376, 1720, 278, 1622)(210, 1554, 284, 1628, 384, 1728, 737, 2081, 1137, 2481, 385, 1729, 285, 1629)(213, 1557, 289, 1633, 390, 1734, 510, 1854, 990, 2334, 389, 1733, 288, 1632)(219, 1563, 298, 1642, 400, 1744, 754, 2098, 1166, 2510, 394, 1738, 293, 1637)(227, 1571, 308, 1652, 613, 1957, 1135, 2479, 1068, 2412, 1327, 2671, 305, 1649)(229, 1573, 310, 1654, 646, 1990, 1009, 2353, 1043, 2387, 540, 1884, 311, 1655)(234, 1578, 317, 1661, 654, 1998, 975, 2319, 1314, 2658, 326, 1670, 242, 1586)(237, 1581, 320, 1664, 662, 2006, 452, 1796, 863, 2207, 557, 1901, 321, 1665)(243, 1587, 327, 1671, 671, 2015, 1185, 2529, 886, 2230, 460, 1804, 328, 1672)(246, 1590, 332, 1676, 677, 2021, 561, 1905, 1076, 2420, 1031, 2375, 331, 1675)(252, 1596, 341, 1685, 634, 1978, 1157, 2501, 1045, 2389, 1193, 2537, 338, 1682)(253, 1597, 342, 1686, 687, 2031, 545, 1889, 862, 2206, 451, 1795, 343, 1687)(263, 1607, 356, 1700, 551, 1895, 1060, 2404, 944, 2288, 1249, 2593, 353, 1697)(265, 1609, 358, 1702, 705, 2049, 891, 2235, 639, 1983, 617, 1961, 359, 1703)(268, 1612, 363, 1707, 712, 2056, 488, 1832, 947, 2291, 506, 1850, 364, 1708)(274, 1618, 372, 1716, 722, 2066, 1003, 2347, 1214, 2558, 1307, 2651, 367, 1711)(280, 1624, 378, 1722, 731, 2075, 606, 1950, 819, 2163, 431, 1775, 379, 1723)(283, 1627, 383, 1727, 727, 2071, 746, 2090, 1084, 2428, 1151, 2495, 382, 1726)(291, 1635, 294, 1638, 395, 1739, 747, 2091, 997, 2341, 736, 2080, 392, 1736)(296, 1640, 397, 1741, 752, 2096, 1059, 2403, 969, 2313, 498, 1842, 398, 1742)(299, 1643, 402, 1746, 758, 2102, 485, 1829, 940, 2284, 647, 1991, 401, 1745)(303, 1647, 409, 1753, 681, 2025, 1148, 2492, 1115, 2459, 1336, 2680, 406, 1750)(306, 1650, 531, 1875, 1026, 2370, 909, 2253, 1299, 2643, 1150, 2494, 314, 1658)(309, 1653, 644, 1988, 904, 2248, 467, 1811, 901, 2245, 595, 1939, 767, 2111)(315, 1659, 652, 1996, 1170, 2514, 1275, 2619, 842, 2186, 442, 1786, 840, 2184)(318, 1662, 657, 2001, 1025, 2369, 598, 1942, 711, 2055, 1074, 2418, 655, 1999)(324, 1668, 668, 2012, 579, 1923, 1096, 2440, 978, 2322, 1179, 2523, 665, 2009)(325, 1669, 670, 2014, 1103, 2447, 584, 1928, 832, 2176, 438, 1782, 539, 1883)(334, 1678, 368, 1712, 708, 2052, 930, 2274, 763, 2107, 686, 2030, 987, 2331)(339, 1683, 585, 1929, 1104, 2448, 1053, 2397, 1322, 2666, 1195, 2539, 680, 2024)(347, 1691, 694, 2038, 580, 1924, 1097, 2441, 1042, 2386, 1208, 2552, 691, 2035)(349, 1693, 567, 1911, 1082, 2426, 981, 2325, 1069, 2413, 556, 1900, 1037, 2381)(354, 1698, 514, 1858, 998, 2342, 954, 2298, 1309, 2653, 1233, 2577, 362, 1706)(357, 1701, 703, 2047, 822, 2166, 432, 1776, 820, 2164, 574, 1918, 625, 1969)(370, 1714, 612, 1956, 1134, 2478, 1133, 2477, 907, 2251, 468, 1812, 905, 2249)(373, 1717, 632, 1976, 1001, 2345, 527, 1871, 651, 1995, 1016, 2360, 723, 2067)(377, 1721, 690, 2034, 1206, 2550, 1191, 2535, 1219, 2563, 1235, 2579, 728, 2072)(386, 1730, 740, 2084, 522, 1866, 1012, 2356, 906, 2250, 1243, 2587, 738, 2082)(388, 1732, 509, 1853, 988, 2332, 852, 2196, 590, 1934, 702, 2046, 893, 2237)(391, 1735, 744, 2088, 910, 2254, 470, 1814, 908, 2252, 483, 1827, 520, 1864)(393, 1737, 745, 2089, 1239, 2583, 732, 2076, 798, 2142, 422, 1766, 701, 2045)(396, 1740, 750, 2094, 1061, 2405, 1281, 2625, 1130, 2474, 1252, 2596, 748, 2092)(404, 1748, 407, 1751, 558, 1902, 1021, 2365, 948, 2292, 1254, 2598, 1081, 2425)(410, 1754, 769, 2113, 843, 2187, 1077, 2421, 1325, 2669, 1067, 2411, 771, 2115)(411, 1755, 772, 2116, 813, 2157, 1118, 2462, 1251, 2595, 1114, 2458, 774, 2118)(412, 1756, 642, 1986, 872, 2216, 992, 2336, 1317, 2661, 1041, 2385, 776, 2120)(413, 1757, 777, 2121, 817, 2161, 1145, 2489, 1318, 2662, 1020, 2364, 669, 2013)(414, 1758, 779, 2123, 789, 2133, 1171, 2515, 735, 2079, 1165, 2509, 741, 2085)(415, 1759, 766, 2110, 864, 2208, 710, 2054, 1222, 2566, 967, 2311, 782, 2126)(416, 1760, 783, 2127, 762, 2106, 1095, 2439, 1335, 2679, 1218, 2562, 785, 2129)(417, 1761, 786, 2130, 765, 2109, 650, 1994, 1168, 2512, 939, 2283, 788, 2132)(418, 1762, 593, 1937, 715, 2059, 942, 2286, 1204, 2548, 688, 2032, 790, 2134)(419, 1763, 791, 2135, 795, 2139, 1250, 2594, 1172, 2516, 1094, 2438, 605, 1949)(420, 1764, 793, 2137, 775, 2119, 1129, 2473, 608, 1952, 1127, 2471, 611, 1955)(421, 1765, 630, 1974, 902, 2246, 716, 2060, 1227, 2571, 971, 2315, 796, 2140)(423, 1767, 799, 2143, 629, 1973, 760, 2104, 742, 2086, 985, 2329, 801, 2145)(424, 1768, 802, 2146, 797, 2141, 1199, 2543, 683, 2027, 1197, 2541, 804, 2148)(425, 1769, 805, 2149, 641, 1985, 596, 1940, 1116, 2460, 900, 2244, 807, 2151)(426, 1770, 808, 2152, 829, 2173, 1279, 2623, 1315, 2659, 1071, 2415, 622, 1966)(427, 1771, 810, 2154, 638, 1982, 1156, 2500, 1342, 2686, 1265, 2609, 812, 2156)(428, 1772, 555, 1899, 709, 2053, 903, 2247, 1142, 2486, 618, 1962, 814, 2158)(429, 1773, 815, 2159, 781, 2125, 1192, 2536, 676, 2020, 1088, 2432, 571, 1915)(430, 1774, 575, 1919, 941, 2285, 923, 2267, 1303, 2647, 1010, 2354, 726, 2070)(433, 1777, 823, 2167, 818, 2162, 1230, 2574, 1178, 2522, 1262, 2606, 825, 2169)(434, 1778, 826, 2170, 856, 2200, 1288, 2632, 1232, 2576, 749, 2093, 563, 1907)(435, 1779, 827, 2171, 770, 2114, 1054, 2398, 547, 1891, 1052, 2396, 550, 1894)(436, 1780, 720, 2064, 878, 2222, 627, 1971, 1152, 2496, 928, 2272, 660, 2004)(437, 1781, 830, 2174, 718, 2062, 1228, 2572, 1189, 2533, 1028, 2372, 751, 2095)(439, 1783, 833, 2177, 806, 2150, 1149, 2493, 624, 1968, 1049, 2393, 544, 1888)(440, 1784, 835, 2179, 784, 2128, 1140, 2484, 615, 1959, 1138, 2482, 695, 2039)(441, 1785, 837, 2181, 592, 1936, 559, 1903, 1072, 2416, 861, 2205, 839, 2183)(443, 1787, 526, 1870, 991, 2335, 865, 2209, 1224, 2568, 713, 2057, 844, 2188)(444, 1788, 845, 2189, 525, 1869, 566, 1910, 678, 2022, 868, 2212, 847, 2191)(445, 1789, 848, 2192, 693, 2037, 1213, 2557, 1209, 2553, 1264, 2608, 850, 2194)(446, 1790, 851, 2195, 895, 2239, 1297, 2641, 1146, 2490, 621, 1965, 600, 1944)(447, 1791, 853, 2197, 773, 2117, 1102, 2446, 582, 1926, 1100, 2444, 588, 1932)(448, 1792, 855, 2199, 700, 2044, 572, 1916, 1089, 2433, 876, 2220, 857, 2201)(449, 1793, 497, 1841, 649, 1993, 831, 2175, 1044, 2388, 541, 1885, 858, 2202)(450, 1794, 859, 2203, 787, 2131, 1080, 2424, 565, 1909, 982, 2326, 505, 1849)(453, 1797, 866, 2210, 838, 2182, 1258, 2602, 757, 2101, 995, 2339, 512, 1856)(454, 1798, 869, 2213, 636, 1980, 743, 2087, 1248, 2592, 1246, 2590, 871, 2215)(455, 1799, 484, 1828, 937, 2281, 821, 2165, 1121, 2465, 602, 1946, 873, 2217)(456, 1800, 874, 2218, 778, 2122, 1004, 2348, 516, 1860, 1002, 2346, 519, 1863)(457, 1801, 877, 2221, 706, 2050, 1207, 2551, 696, 2040, 656, 2000, 879, 2223)(458, 1802, 880, 2224, 811, 2155, 1217, 2561, 699, 2043, 1215, 2559, 875, 2219)(459, 1803, 882, 2226, 554, 1898, 532, 1876, 1029, 2373, 834, 2178, 884, 2228)(461, 1805, 887, 2231, 885, 2229, 1294, 2638, 1343, 2687, 1269, 2613, 889, 2233)(462, 1806, 890, 2234, 936, 2280, 1226, 2570, 1078, 2422, 562, 1906, 658, 2002)(463, 1807, 892, 2236, 780, 2124, 1040, 2384, 537, 1881, 1038, 2382, 637, 1981)(464, 1808, 894, 2238, 616, 1960, 523, 1867, 1014, 2358, 828, 2172, 896, 2240)(465, 1809, 499, 1843, 759, 2103, 809, 2153, 976, 2320, 502, 1846, 897, 2241)(466, 1810, 898, 2242, 800, 2144, 1083, 2427, 568, 1912, 916, 2260, 473, 1817)(469, 1813, 507, 1851, 983, 2327, 846, 2190, 1176, 2520, 663, 2007, 697, 2041)(471, 1815, 911, 2255, 587, 1931, 1109, 2453, 1162, 2506, 1271, 2615, 913, 2257)(472, 1816, 914, 2258, 964, 2308, 1308, 2652, 1123, 2467, 603, 1947, 578, 1922)(474, 1818, 917, 2261, 824, 2168, 1112, 2456, 591, 1935, 1110, 2454, 860, 2204)(475, 1819, 919, 2263, 538, 1882, 508, 1852, 986, 2330, 816, 2160, 921, 2265)(477, 1821, 924, 2268, 883, 2227, 1292, 2636, 1174, 2518, 946, 2290, 487, 1831)(478, 1822, 926, 2270, 792, 2136, 955, 2299, 491, 1835, 953, 2297, 496, 1840)(479, 1823, 929, 2273, 989, 2333, 1144, 2488, 1119, 2463, 599, 1943, 931, 2275)(480, 1824, 932, 2276, 841, 2185, 1284, 2628, 1242, 2586, 1266, 2610, 927, 2271)(481, 1825, 934, 2278, 794, 2138, 965, 2309, 495, 1839, 963, 2307, 583, 1927)(482, 1826, 935, 2279, 684, 2028, 552, 1896, 1062, 2406, 854, 2198, 755, 2099)(486, 1830, 943, 2287, 535, 1879, 679, 2023, 1092, 2436, 1087, 2431, 945, 2289)(489, 1833, 949, 2293, 920, 2264, 1302, 2646, 1181, 2525, 666, 2010, 529, 1873)(490, 1834, 951, 2295, 849, 2193, 1163, 2507, 640, 1984, 1161, 2505, 899, 2243)(492, 1836, 956, 2300, 739, 2083, 1245, 2589, 1244, 2588, 1277, 2621, 958, 2302)(493, 1837, 959, 2303, 1017, 2361, 1125, 2469, 994, 2338, 511, 1855, 960, 2304)(494, 1838, 961, 2305, 803, 2147, 1065, 2409, 553, 1897, 1063, 2407, 730, 2074)(500, 1844, 761, 2105, 1032, 2376, 1105, 2449, 685, 2029, 577, 1921, 972, 2316)(501, 1845, 973, 2317, 870, 2214, 1290, 2634, 1256, 2600, 753, 2097, 970, 2314)(503, 1847, 977, 2321, 549, 1893, 1058, 2402, 1111, 2455, 1282, 2626, 979, 2323)(504, 1848, 980, 2324, 1039, 2383, 1301, 2645, 1085, 2429, 569, 1913, 633, 1977)(515, 1859, 1000, 2344, 888, 2232, 1260, 2604, 764, 2108, 1259, 2603, 938, 2282)(517, 1861, 1005, 2349, 610, 1954, 1132, 2476, 1216, 2560, 1286, 2630, 1007, 2351)(518, 1862, 1008, 2352, 1064, 2408, 1183, 2527, 1046, 2390, 542, 1886, 724, 2068)(521, 1865, 626, 1970, 1075, 2419, 1048, 2392, 1023, 2367, 528, 1872, 1011, 2355)(524, 1868, 1015, 2359, 867, 2211, 536, 1880, 1036, 2380, 836, 2180, 1018, 2362)(530, 1874, 1024, 2368, 912, 2256, 1300, 2644, 1167, 2511, 648, 1992, 966, 2310)(533, 1877, 1030, 2374, 915, 2259, 698, 2042, 594, 1938, 962, 2306, 589, 1933)(534, 1878, 1033, 2377, 968, 2312, 1312, 2656, 1186, 2530, 673, 2017, 1035, 2379)(543, 1887, 1047, 2391, 1101, 2445, 1310, 2654, 1131, 2475, 609, 1953, 645, 1989)(546, 1890, 1050, 2394, 933, 2277, 1154, 2498, 628, 1972, 1153, 2497, 984, 2328)(548, 1892, 1055, 2399, 570, 1914, 1086, 2430, 1139, 2483, 1295, 2639, 1057, 2401)(560, 1904, 1073, 2417, 950, 2294, 614, 1958, 643, 1987, 918, 2262, 631, 1975)(564, 1908, 1079, 2423, 957, 2301, 1287, 2631, 1234, 2578, 1273, 2617, 1019, 2363)(573, 1917, 1090, 2434, 925, 2269, 581, 1925, 1099, 2443, 881, 2225, 721, 2065)(576, 1920, 597, 1941, 1091, 2435, 999, 2343, 682, 2026, 768, 2112, 952, 2296)(586, 1930, 1106, 2450, 604, 1948, 1124, 2468, 1198, 2542, 1304, 2648, 1108, 2452)(601, 1945, 1120, 2464, 1006, 2350, 1296, 2640, 1220, 2564, 707, 2051, 1066, 2410)(607, 1951, 1126, 2470, 974, 2318, 653, 1997, 717, 2061, 1117, 2461, 1027, 2371)(619, 1963, 1143, 2487, 1128, 2472, 1247, 2591, 1329, 2673, 1187, 2531, 704, 2048)(623, 1967, 1147, 2491, 1034, 2378, 1278, 2622, 1188, 2532, 1283, 2627, 1093, 2437)(635, 1979, 1158, 2502, 667, 2011, 1182, 2526, 1180, 2524, 733, 2077, 1160, 2504)(661, 2005, 1175, 2519, 1056, 2400, 1305, 2649, 1221, 2565, 719, 2063, 1113, 2457)(675, 2019, 1190, 2534, 1013, 2357, 1289, 2633, 1194, 2538, 1169, 2513, 1070, 2414)(689, 2033, 1205, 2549, 729, 2073, 1173, 2517, 1141, 2485, 1331, 2675, 1201, 2545)(692, 2036, 1210, 2554, 714, 2058, 1225, 2569, 1240, 2584, 1313, 2657, 1212, 2556)(756, 2100, 1257, 2601, 1098, 2442, 1274, 2618, 1211, 2555, 1293, 2637, 1155, 2499)(1107, 2451, 1291, 2635, 1229, 2573, 1231, 2575, 1164, 2508, 1136, 2480, 1268, 2612)(1159, 2503, 1280, 2624, 1238, 2582, 1285, 2629, 1261, 2605, 1196, 2540, 1263, 2607)(1184, 2528, 1339, 2683, 1323, 2667, 1306, 2650, 1255, 2599, 1319, 2663, 1328, 2672)(1200, 2544, 1333, 2677, 1337, 2681, 1298, 2642, 1344, 2688, 1202, 2546, 1321, 2665)(1203, 2547, 1276, 2620, 1272, 2616, 1223, 2567, 1267, 2611, 1236, 2580, 1270, 2614)(1237, 2581, 1316, 2660, 1241, 2585, 1324, 2668, 1253, 2597, 1311, 2655, 1340, 2684)(1320, 2664, 1338, 2682, 1330, 2674, 1334, 2678, 1326, 2670, 1341, 2685, 1332, 2676)
	L = (1, 1347)(2, 1350)(3, 1345)(4, 1353)(5, 1356)(6, 1346)(7, 1360)(8, 1357)(9, 1348)(10, 1363)(11, 1365)(12, 1349)(13, 1352)(14, 1366)(15, 1371)(16, 1351)(17, 1373)(18, 1376)(19, 1354)(20, 1378)(21, 1355)(22, 1358)(23, 1379)(24, 1384)(25, 1385)(26, 1387)(27, 1359)(28, 1388)(29, 1361)(30, 1392)(31, 1394)(32, 1362)(33, 1397)(34, 1364)(35, 1367)(36, 1398)(37, 1402)(38, 1403)(39, 1405)(40, 1368)(41, 1369)(42, 1408)(43, 1370)(44, 1372)(45, 1409)(46, 1413)(47, 1415)(48, 1374)(49, 1417)(50, 1375)(51, 1418)(52, 1422)(53, 1377)(54, 1380)(55, 1426)(56, 1427)(57, 1429)(58, 1381)(59, 1382)(60, 1432)(61, 1383)(62, 1433)(63, 1437)(64, 1386)(65, 1389)(66, 1416)(67, 1442)(68, 1443)(69, 1390)(70, 1447)(71, 1391)(72, 1410)(73, 1393)(74, 1395)(75, 1450)(76, 1454)(77, 1455)(78, 1396)(79, 1456)(80, 1460)(81, 1461)(82, 1399)(83, 1400)(84, 1464)(85, 1401)(86, 1465)(87, 1469)(88, 1404)(89, 1406)(90, 1438)(91, 1473)(92, 1475)(93, 1407)(94, 1434)(95, 1479)(96, 1480)(97, 1482)(98, 1411)(99, 1412)(100, 1485)(101, 1451)(102, 1487)(103, 1414)(104, 1488)(105, 1492)(106, 1419)(107, 1445)(108, 1496)(109, 1497)(110, 1420)(111, 1421)(112, 1423)(113, 1500)(114, 1504)(115, 1505)(116, 1424)(117, 1425)(118, 1507)(119, 1511)(120, 1428)(121, 1430)(122, 1470)(123, 1515)(124, 1517)(125, 1431)(126, 1466)(127, 1521)(128, 1522)(129, 1435)(130, 1525)(131, 1436)(132, 1526)(133, 1530)(134, 1531)(135, 1439)(136, 1440)(137, 1534)(138, 1441)(139, 1535)(140, 1539)(141, 1444)(142, 1542)(143, 1446)(144, 1448)(145, 1543)(146, 1547)(147, 1548)(148, 1449)(149, 1551)(150, 1552)(151, 1554)(152, 1452)(153, 1453)(154, 1557)(155, 1501)(156, 1457)(157, 1499)(158, 1562)(159, 1563)(160, 1458)(161, 1459)(162, 1566)(163, 1462)(164, 1512)(165, 1571)(166, 1573)(167, 1463)(168, 1508)(169, 1577)(170, 1578)(171, 1467)(172, 1581)(173, 1468)(174, 1582)(175, 1586)(176, 1587)(177, 1471)(178, 1472)(179, 1590)(180, 1544)(181, 1474)(182, 1476)(183, 1592)(184, 1596)(185, 1597)(186, 1477)(187, 1478)(188, 1599)(189, 1603)(190, 1481)(191, 1483)(192, 1540)(193, 1607)(194, 1609)(195, 1484)(196, 1536)(197, 1612)(198, 1486)(199, 1489)(200, 1524)(201, 1617)(202, 1618)(203, 1490)(204, 1491)(205, 1621)(206, 1624)(207, 1493)(208, 1494)(209, 1627)(210, 1495)(211, 1628)(212, 1632)(213, 1498)(214, 1635)(215, 1637)(216, 1638)(217, 1640)(218, 1502)(219, 1503)(220, 1643)(221, 1567)(222, 1506)(223, 1565)(224, 1647)(225, 1649)(226, 1650)(227, 1509)(228, 1653)(229, 1510)(230, 1654)(231, 1658)(232, 1659)(233, 1513)(234, 1514)(235, 1662)(236, 1593)(237, 1516)(238, 1518)(239, 1664)(240, 1668)(241, 1669)(242, 1519)(243, 1520)(244, 1671)(245, 1675)(246, 1523)(247, 1678)(248, 1527)(249, 1580)(250, 1682)(251, 1683)(252, 1528)(253, 1529)(254, 1686)(255, 1532)(256, 1604)(257, 1691)(258, 1693)(259, 1533)(260, 1600)(261, 1697)(262, 1698)(263, 1537)(264, 1701)(265, 1538)(266, 1702)(267, 1706)(268, 1541)(269, 1707)(270, 1711)(271, 1712)(272, 1714)(273, 1545)(274, 1546)(275, 1717)(276, 1622)(277, 1549)(278, 1620)(279, 1721)(280, 1550)(281, 1722)(282, 1726)(283, 1553)(284, 1555)(285, 1633)(286, 1730)(287, 1732)(288, 1556)(289, 1629)(290, 1735)(291, 1558)(292, 1737)(293, 1559)(294, 1560)(295, 1740)(296, 1561)(297, 1741)(298, 1745)(299, 1564)(300, 1748)(301, 1750)(302, 1751)(303, 1568)(304, 1982)(305, 1569)(306, 1570)(307, 1951)(308, 1665)(309, 1572)(310, 1574)(311, 1988)(312, 1992)(313, 1993)(314, 1575)(315, 1576)(316, 1996)(317, 1999)(318, 1579)(319, 2004)(320, 1583)(321, 1652)(322, 2009)(323, 1989)(324, 1584)(325, 1585)(326, 2014)(327, 1588)(328, 1676)(329, 2017)(330, 1933)(331, 1589)(332, 1672)(333, 2022)(334, 1591)(335, 2024)(336, 1780)(337, 1879)(338, 1594)(339, 1595)(340, 2029)(341, 1687)(342, 1598)(343, 1685)(344, 2033)(345, 2035)(346, 1813)(347, 1601)(348, 2040)(349, 1602)(350, 1911)(351, 2041)(352, 1980)(353, 1605)(354, 1606)(355, 2026)(356, 1708)(357, 1608)(358, 1610)(359, 2047)(360, 2051)(361, 2053)(362, 1611)(363, 1613)(364, 1700)(365, 2048)(366, 2059)(367, 1614)(368, 1615)(369, 2063)(370, 1616)(371, 1956)(372, 2067)(373, 1619)(374, 2070)(375, 2072)(376, 1774)(377, 1623)(378, 1625)(379, 1727)(380, 2077)(381, 1865)(382, 1626)(383, 1723)(384, 2082)(385, 1873)(386, 1630)(387, 2086)(388, 1631)(389, 1853)(390, 2010)(391, 1634)(392, 2088)(393, 1636)(394, 2089)(395, 2092)(396, 1639)(397, 1641)(398, 1746)(399, 2097)(400, 2099)(401, 1642)(402, 1742)(403, 2103)(404, 1644)(405, 2106)(406, 1645)(407, 1646)(408, 2019)(409, 2111)(410, 1840)(411, 1863)(412, 1809)(413, 1882)(414, 1894)(415, 1827)(416, 1849)(417, 1898)(418, 1793)(419, 1927)(420, 1932)(421, 1850)(422, 1817)(423, 1936)(424, 1955)(425, 1869)(426, 1960)(427, 1888)(428, 1782)(429, 1981)(430, 1720)(431, 1799)(432, 1985)(433, 1915)(434, 2028)(435, 2039)(436, 1680)(437, 2044)(438, 1772)(439, 2074)(440, 2085)(441, 1918)(442, 1856)(443, 1795)(444, 2109)(445, 1949)(446, 2196)(447, 2148)(448, 1901)(449, 1762)(450, 2204)(451, 1787)(452, 2208)(453, 2211)(454, 1907)(455, 1775)(456, 2219)(457, 2222)(458, 2118)(459, 1973)(460, 1831)(461, 2013)(462, 2235)(463, 2169)(464, 1939)(465, 1756)(466, 2243)(467, 2246)(468, 1944)(469, 1690)(470, 2161)(471, 1966)(472, 2259)(473, 1766)(474, 2129)(475, 2062)(476, 2216)(477, 2269)(478, 2271)(479, 2274)(480, 2115)(481, 2194)(482, 1991)(483, 1759)(484, 2282)(485, 2285)(486, 2002)(487, 1804)(488, 2187)(489, 2294)(490, 2142)(491, 2173)(492, 2132)(493, 2008)(494, 2156)(495, 2050)(496, 1754)(497, 2310)(498, 1922)(499, 2314)(500, 2091)(501, 2120)(502, 2139)(503, 2095)(504, 2325)(505, 1760)(506, 1765)(507, 2328)(508, 2233)(509, 1733)(510, 2335)(511, 2275)(512, 1786)(513, 2157)(514, 2343)(515, 2163)(516, 2200)(517, 2145)(518, 2353)(519, 1755)(520, 2084)(521, 1725)(522, 2126)(523, 2257)(524, 2360)(525, 1769)(526, 2363)(527, 2365)(528, 2304)(529, 1729)(530, 2134)(531, 2371)(532, 2302)(533, 2375)(534, 2151)(535, 1681)(536, 2186)(537, 2333)(538, 1757)(539, 2012)(540, 1977)(541, 2125)(542, 2223)(543, 2392)(544, 1771)(545, 2133)(546, 2395)(547, 2239)(548, 2166)(549, 2403)(550, 1758)(551, 2140)(552, 2215)(553, 2376)(554, 1761)(555, 2410)(556, 2068)(557, 1792)(558, 2414)(559, 2351)(560, 2418)(561, 2281)(562, 2316)(563, 1798)(564, 2206)(565, 2182)(566, 2379)(567, 1694)(568, 2150)(569, 2248)(570, 2431)(571, 1777)(572, 2323)(573, 2435)(574, 1785)(575, 2437)(576, 2370)(577, 2287)(578, 1842)(579, 2158)(580, 2183)(581, 2230)(582, 2280)(583, 1763)(584, 2119)(585, 2449)(586, 2191)(587, 2081)(588, 1764)(589, 1674)(590, 2251)(591, 2419)(592, 1767)(593, 2457)(594, 2321)(595, 1808)(596, 2401)(597, 2461)(598, 2327)(599, 2355)(600, 1812)(601, 2176)(602, 2131)(603, 2102)(604, 2469)(605, 1789)(606, 2141)(607, 1651)(608, 2308)(609, 2006)(610, 2477)(611, 1768)(612, 1715)(613, 2201)(614, 2481)(615, 2361)(616, 1770)(617, 2399)(618, 2114)(619, 2488)(620, 2242)(621, 2345)(622, 1815)(623, 2340)(624, 2227)(625, 2038)(626, 2495)(627, 2390)(628, 2417)(629, 1803)(630, 2499)(631, 1998)(632, 2249)(633, 1884)(634, 2188)(635, 2228)(636, 1696)(637, 1773)(638, 1648)(639, 2289)(640, 2426)(641, 1776)(642, 2508)(643, 2255)(644, 1655)(645, 1667)(646, 2511)(647, 1826)(648, 1656)(649, 1657)(650, 2452)(651, 2513)(652, 1660)(653, 2268)(654, 1975)(655, 1661)(656, 2381)(657, 2184)(658, 1830)(659, 2373)(660, 1663)(661, 2202)(662, 1953)(663, 2144)(664, 1837)(665, 1666)(666, 1734)(667, 2527)(668, 1883)(669, 1805)(670, 1670)(671, 2530)(672, 2162)(673, 1673)(674, 2533)(675, 1752)(676, 2264)(677, 2290)(678, 1677)(679, 2537)(680, 1679)(681, 2240)(682, 1699)(683, 2408)(684, 1778)(685, 1684)(686, 2450)(687, 2545)(688, 2117)(689, 1688)(690, 2551)(691, 1689)(692, 2254)(693, 2529)(694, 1969)(695, 1779)(696, 1692)(697, 1695)(698, 2313)(699, 2436)(700, 1781)(701, 2094)(702, 2349)(703, 1703)(704, 1709)(705, 2564)(706, 1839)(707, 1704)(708, 2565)(709, 1705)(710, 2475)(711, 2497)(712, 2531)(713, 2122)(714, 2570)(715, 1710)(716, 2429)(717, 2434)(718, 1819)(719, 1713)(720, 2573)(721, 2342)(722, 2362)(723, 1716)(724, 1900)(725, 2270)(726, 1718)(727, 2217)(728, 1719)(729, 2265)(730, 1783)(731, 2524)(732, 2128)(733, 1724)(734, 2463)(735, 2383)(736, 2554)(737, 1931)(738, 1728)(739, 2590)(740, 1864)(741, 1784)(742, 1731)(743, 2593)(744, 1736)(745, 1738)(746, 2203)(747, 1844)(748, 1739)(749, 2296)(750, 2045)(751, 1847)(752, 2600)(753, 1743)(754, 2512)(755, 1744)(756, 2291)(757, 2190)(758, 1947)(759, 1747)(760, 2504)(761, 2596)(762, 1749)(763, 2338)(764, 2374)(765, 1788)(766, 2605)(767, 1753)(768, 2213)(769, 2601)(770, 1962)(771, 1824)(772, 2491)(773, 2032)(774, 1802)(775, 1928)(776, 1845)(777, 2607)(778, 2057)(779, 2423)(780, 2385)(781, 1885)(782, 1866)(783, 2534)(784, 2076)(785, 1818)(786, 2611)(787, 1946)(788, 1836)(789, 1889)(790, 1874)(791, 2612)(792, 2354)(793, 2464)(794, 2311)(795, 1846)(796, 1895)(797, 1950)(798, 1834)(799, 2614)(800, 2007)(801, 1861)(802, 2344)(803, 2411)(804, 1791)(805, 2616)(806, 1912)(807, 1878)(808, 2618)(809, 2425)(810, 2470)(811, 2562)(812, 1838)(813, 1857)(814, 1923)(815, 2519)(816, 2315)(817, 1814)(818, 2016)(819, 1859)(820, 2620)(821, 2518)(822, 1892)(823, 2394)(824, 2458)(825, 1807)(826, 2622)(827, 2440)(828, 2244)(829, 1835)(830, 2624)(831, 2494)(832, 1945)(833, 2625)(834, 2272)(835, 2295)(836, 2364)(837, 2547)(838, 1909)(839, 1924)(840, 2001)(841, 2609)(842, 1880)(843, 1832)(844, 1978)(845, 2567)(846, 2101)(847, 1930)(848, 2443)(849, 2509)(850, 1825)(851, 2631)(852, 1790)(853, 2368)(854, 2283)(855, 2582)(856, 1860)(857, 1957)(858, 2005)(859, 2090)(860, 1794)(861, 2220)(862, 1908)(863, 2629)(864, 1796)(865, 2525)(866, 2633)(867, 1797)(868, 2331)(869, 2112)(870, 2606)(871, 1896)(872, 1820)(873, 2071)(874, 2501)(875, 1800)(876, 2205)(877, 2635)(878, 1801)(879, 1886)(880, 2261)(881, 2438)(882, 2580)(883, 1968)(884, 1979)(885, 2619)(886, 1925)(887, 2380)(888, 2471)(889, 1852)(890, 2640)(891, 1806)(892, 2317)(893, 2329)(894, 2555)(895, 1891)(896, 2025)(897, 2480)(898, 1964)(899, 1810)(900, 2172)(901, 2637)(902, 1811)(903, 2577)(904, 1913)(905, 1976)(906, 2608)(907, 1934)(908, 2540)(909, 2576)(910, 2036)(911, 1987)(912, 2541)(913, 1867)(914, 2604)(915, 1816)(916, 2405)(917, 2224)(918, 2415)(919, 2503)(920, 2020)(921, 2073)(922, 2575)(923, 2467)(924, 1997)(925, 1821)(926, 2069)(927, 1822)(928, 2178)(929, 2649)(930, 1823)(931, 1855)(932, 2305)(933, 2432)(934, 2356)(935, 2532)(936, 1926)(937, 1905)(938, 1828)(939, 2198)(940, 2627)(941, 1829)(942, 2651)(943, 1921)(944, 2613)(945, 1983)(946, 2021)(947, 2100)(948, 2490)(949, 2498)(950, 1833)(951, 2179)(952, 2093)(953, 2442)(954, 2516)(955, 2546)(956, 2406)(957, 2396)(958, 1876)(959, 2523)(960, 1872)(961, 2276)(962, 2372)(963, 2451)(964, 1952)(965, 2550)(966, 1841)(967, 2138)(968, 2615)(969, 2042)(970, 1843)(971, 2160)(972, 1906)(973, 2236)(974, 2393)(975, 2659)(976, 2581)(977, 1938)(978, 2482)(979, 1916)(980, 2507)(981, 1848)(982, 2357)(983, 1942)(984, 1851)(985, 2237)(986, 2404)(987, 2212)(988, 2578)(989, 1881)(990, 2617)(991, 1854)(992, 2539)(993, 2610)(994, 2107)(995, 2369)(996, 1967)(997, 2422)(998, 2065)(999, 1858)(1000, 2146)(1001, 1965)(1002, 2378)(1003, 2662)(1004, 2663)(1005, 2046)(1006, 2444)(1007, 1903)(1008, 2644)(1009, 1862)(1010, 2136)(1011, 1943)(1012, 2278)(1013, 2326)(1014, 2377)(1015, 2538)(1016, 1868)(1017, 1959)(1018, 2066)(1019, 1870)(1020, 2180)(1021, 1871)(1022, 2621)(1023, 2521)(1024, 2197)(1025, 2339)(1026, 1920)(1027, 1875)(1028, 2306)(1029, 2003)(1030, 2108)(1031, 1877)(1032, 1897)(1033, 2358)(1034, 2346)(1035, 1910)(1036, 2231)(1037, 2000)(1038, 2400)(1039, 2079)(1040, 2487)(1041, 2124)(1042, 2626)(1043, 2413)(1044, 2667)(1045, 2559)(1046, 1971)(1047, 2456)(1048, 1887)(1049, 2318)(1050, 2167)(1051, 1890)(1052, 2301)(1053, 2669)(1054, 2668)(1055, 1961)(1056, 2382)(1057, 1940)(1058, 2634)(1059, 1893)(1060, 2330)(1061, 2260)(1062, 2300)(1063, 2474)(1064, 2027)(1065, 2448)(1066, 1899)(1067, 2147)(1068, 2630)(1069, 2387)(1070, 1902)(1071, 2262)(1072, 2479)(1073, 1972)(1074, 1904)(1075, 1935)(1076, 2603)(1077, 2673)(1078, 2341)(1079, 2123)(1080, 2674)(1081, 2153)(1082, 1984)(1083, 2676)(1084, 2454)(1085, 2060)(1086, 2561)(1087, 1914)(1088, 2277)(1089, 2441)(1090, 2061)(1091, 1917)(1092, 2043)(1093, 1919)(1094, 2225)(1095, 2680)(1096, 2171)(1097, 2433)(1098, 2297)(1099, 2192)(1100, 2350)(1101, 2595)(1102, 2569)(1103, 2681)(1104, 2409)(1105, 1929)(1106, 2030)(1107, 2307)(1108, 1994)(1109, 2587)(1110, 2428)(1111, 2522)(1112, 2391)(1113, 1937)(1114, 2168)(1115, 2639)(1116, 2492)(1117, 1941)(1118, 2579)(1119, 2078)(1120, 2137)(1121, 2678)(1122, 2505)(1123, 2267)(1124, 2484)(1125, 1948)(1126, 2154)(1127, 2232)(1128, 2661)(1129, 2677)(1130, 2407)(1131, 2054)(1132, 2628)(1133, 1954)(1134, 2586)(1135, 2416)(1136, 2241)(1137, 1958)(1138, 2322)(1139, 2679)(1140, 2468)(1141, 2645)(1142, 2597)(1143, 2384)(1144, 1963)(1145, 2556)(1146, 2292)(1147, 2116)(1148, 2460)(1149, 2685)(1150, 2175)(1151, 1970)(1152, 2502)(1153, 2055)(1154, 2293)(1155, 1974)(1156, 2671)(1157, 2218)(1158, 2496)(1159, 2263)(1160, 2104)(1161, 2466)(1162, 2553)(1163, 2324)(1164, 1986)(1165, 2193)(1166, 2648)(1167, 1990)(1168, 2098)(1169, 1995)(1170, 2588)(1171, 2675)(1172, 2298)(1173, 2571)(1174, 2165)(1175, 2159)(1176, 2664)(1177, 2367)(1178, 2455)(1179, 2303)(1180, 2075)(1181, 2209)(1182, 2543)(1183, 2011)(1184, 2646)(1185, 2037)(1186, 2015)(1187, 2056)(1188, 2279)(1189, 2018)(1190, 2127)(1191, 2566)(1192, 2683)(1193, 2023)(1194, 2359)(1195, 2336)(1196, 2252)(1197, 2256)(1198, 2583)(1199, 2526)(1200, 2652)(1201, 2031)(1202, 2299)(1203, 2181)(1204, 2584)(1205, 2572)(1206, 2309)(1207, 2034)(1208, 2574)(1209, 2506)(1210, 2080)(1211, 2238)(1212, 2489)(1213, 2656)(1214, 2657)(1215, 2389)(1216, 2686)(1217, 2430)(1218, 2155)(1219, 2654)(1220, 2049)(1221, 2052)(1222, 2535)(1223, 2189)(1224, 2672)(1225, 2446)(1226, 2058)(1227, 2517)(1228, 2549)(1229, 2064)(1230, 2552)(1231, 2266)(1232, 2253)(1233, 2247)(1234, 2332)(1235, 2462)(1236, 2226)(1237, 2320)(1238, 2199)(1239, 2542)(1240, 2548)(1241, 2641)(1242, 2478)(1243, 2453)(1244, 2514)(1245, 2638)(1246, 2083)(1247, 2666)(1248, 2687)(1249, 2087)(1250, 2684)(1251, 2445)(1252, 2105)(1253, 2486)(1254, 2660)(1255, 2632)(1256, 2096)(1257, 2113)(1258, 2682)(1259, 2420)(1260, 2258)(1261, 2110)(1262, 2214)(1263, 2121)(1264, 2250)(1265, 2185)(1266, 2337)(1267, 2130)(1268, 2135)(1269, 2288)(1270, 2143)(1271, 2312)(1272, 2149)(1273, 2334)(1274, 2152)(1275, 2229)(1276, 2164)(1277, 2366)(1278, 2170)(1279, 2688)(1280, 2174)(1281, 2177)(1282, 2386)(1283, 2284)(1284, 2476)(1285, 2207)(1286, 2412)(1287, 2195)(1288, 2599)(1289, 2210)(1290, 2402)(1291, 2221)(1292, 2670)(1293, 2245)(1294, 2589)(1295, 2459)(1296, 2234)(1297, 2585)(1298, 2658)(1299, 2650)(1300, 2352)(1301, 2485)(1302, 2528)(1303, 2665)(1304, 2510)(1305, 2273)(1306, 2643)(1307, 2286)(1308, 2544)(1309, 2655)(1310, 2563)(1311, 2653)(1312, 2557)(1313, 2558)(1314, 2642)(1315, 2319)(1316, 2598)(1317, 2472)(1318, 2347)(1319, 2348)(1320, 2520)(1321, 2647)(1322, 2591)(1323, 2388)(1324, 2398)(1325, 2397)(1326, 2636)(1327, 2500)(1328, 2568)(1329, 2421)(1330, 2424)(1331, 2515)(1332, 2427)(1333, 2473)(1334, 2465)(1335, 2483)(1336, 2439)(1337, 2447)(1338, 2602)(1339, 2536)(1340, 2594)(1341, 2493)(1342, 2560)(1343, 2592)(1344, 2623)
	local type(s) :: { ( 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3, 2, 3 ) }
Outer automorphisms :: chiral
Transitivity :: ET+ VT+
Graph::
	v = 192 e = 1344 f = 1120
	degree seq :: [ 14^192 ]

## Checksum: 2391 records.
## Written on: Sat Nov 30 12:13:05 CET 2019